The following groups have subgroups in the List:
{ 23097, 23098 }
The following groups do not:
{ 23096, 23099 }

The following groups have subgroups in the List:
{ 23102, 23103, 23104, 23105, 23113, 23114, 23115, 23116, 23118, 23119 }
The following groups do not:
{ 23101, 23117, 23120, 23121, 23122, 23123, 23124, 23125, 23126, 23169, 23176, 

The following groups have subgroups in the List:
{ 23201, 23202, 23205, 23206, 23209, 23210, 23211, 23212, 23213, 23214, 23216, 
23217, 23218 }
The following groups do not:
{ 23203, 23204, 23207, 23208, 23215, 23219, 23220, 23221, 23222, 23223, 23224, 

The following groups have subgroups in the List:
{ 23302, 23303, 23304 }
The following groups do not:
{ 23301, 23305, 23306, 23307, 23308, 23309, 23310, 23311, 23312, 23313, 23314, 

The following groups have subgroups in the List:
{ 23415, 23419, 23421, 23422, 23434, 23435, 23436, 23437, 23438, 23439, 23440 }
The following groups do not:
{ 23420, 23441, 23442, 23443, 23444, 23445, 23446, 23447, 23448 }

23500-23599:  no central order 2s

The following groups have subgroups in the List:
{ 23658, 23659, 23660 }
The following groups do not:
{ 23657, 23661, 23662, 23663, 23664, 23665, 23666, 23667, 23668, 23680, 23681, 
23682, 23683, 23684, 23685, 23686, 23687, 23688, 23689, 23690, 23691, 23692, 
23693, 23694, 23695, 23696, 23697, 23698, 23699 }

The following groups have subgroups in the List:
{ 23703, 23704, 23705, 23706, 23707, 23708, 23748, 23749, 23750, 23751, 23752, 
23753, 23755, 23757, 23759, 23760, 23761, 23762 }
The following groups do not:
{ 23701, 23702, 23754, 23756, 23758, 23788, 23789, 23790, 23791, 23792, 23793, 
23794, 23795, 23796, 23797, 23798, 23799 }

{ 23805, 23807, 23810, 23811, 23812, 23813, 23816 } does
{ 23801, 23802, 23803, 23804, 23806, 23808, 23809, 23814, 23815, 23817, 23818, does not

23900-23999:  no central order 2s

-----
The following groups have subgroups in the List:
{ 24046, 24047, 24048, 24050, 24051 }
The following groups do not:
{ 24049, 24052, 24053, 24056, 24057, 24058, 24059, 24060, 24061, 24070, 24071, 

The following groups have subgroups in the List:
{ 24106, 24141, 24143, 24144, 24145, 24146, 24147 }
The following groups do not:
{ 24142, 24148, 24149, 24150, 24151, 24152, 24153, 24154, 24155, 24156, 24157, 

24200-24299:  no central order 2s

The following groups have subgroups in the List:
{ 24312, 24317, 24318, 24320, 24321, 24323 }
The following groups do not:
{ 24319, 24322, 24324, 24325, 24326, 24329, 24330, 24331, 24332, 24333, 24334, 

{ 24401, 24402, 24403, 24404, 24405, 24406, 24407, 24408, 24412 } does
{ 24413, 24414, 24415, 24416, 24417, 24418, 24490, 24491, 24492, 24493, 24494, does not 

The following groups have subgroups in the List:
{ 24501, 24502, 24503, 24541, 24542, 24543, 24544, 24545, 24546 }
The following groups do not:
{ 24547, 24548, 24549, 24550, 24555, 24556, 24557, 24558, 24559, 24560, 24561, 
24595 }

The following groups have subgroups in the List:
{ 24601, 24641, 24642, 24643, 24644, 24645, 24646, 24647, 24651, 24652 }
The following groups do not:
{ 24684 }

{ 24726, 24732, 24761 } does
{ 24747, 24760, 24762, 24763, 24764, 24765 } does not

The following groups have subgroups in the List:
{ 24822, 24823, 24824, 24827 }
The following groups do not:
{ 24815, 24825, 24826, 24828, 24829, 24830, 24831, 24866, 24867, 24868, 24869, 

24900-24999:  five central order 2s, no "The following groups do not:" report

[ 24958, 24969, 24970, 24971, 24979 ]