Finite Group Databasebeta

← #72272039

Subgroups — #72272039

Order 1536.

Only the 32169 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 1362 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11707717C218yesmaximal, complemented
2#11707712C218yesmaximal, complemented
3#11707693C218yesmaximal, complemented
4#11707692C218yesmaximal, complemented
5#11707313C218yesmaximal, complemented
6#11707291C218yesmaximal, complemented
7#11705524C218yesmaximal, complemented
8#11705518C218yesmaximal, complemented
9#11705066C2132yesmaximal, complemented
10#11704069C211yesmaximal, characteristic, complemented
11#11703807C218yesmaximal, complemented
12#11703803C218yesmaximal, complemented
13#11703210C214yesmaximal, complemented
14D3×#3484C218yesmaximal, complemented
15C22×#5717C211yesmaximal, characteristic, complemented
16C3×#62832C211yesmaximal, characteristic, complemented
17C2×D3×H(5,𝔽2)C2218yescomplemented
18C23×D3×D4C2214yescomplemented
19C3×#3543C2218yescomplemented
20C3×#3543C22116yescomplemented
21C3×#3508C2214yescomplemented
22C3×#3508C2218yescomplemented
23C3×#3498C2214yescomplemented
24C3×#3498C2218yescomplemented
25C3×#3484C2218yescomplemented
26C3×#3484C2214yescomplemented
27C3×#3444C2212yescomplemented
28C22×C3×#127C2211yescharacteristic, complemented
29#87285C22116yescomplemented
30#87284C2218yescomplemented
31#87284C22116yescomplemented
32#87239C2218yescomplemented
33#87239C2214yescomplemented
34C22×#938C2214yescomplemented
35C22×#937C2214yescomplemented
36#87082C22164yescomplemented
37#87080C22132yescomplemented
38#87071C22132yescomplemented
39#87069C22132yescomplemented
40#87066C2218yescomplemented
41#87054C22116yescomplemented
42#87053C22132yescomplemented
43#87050C2218yescomplemented
44#86788C22116yescomplemented
45#86787C22132yescomplemented
46#86778C22132yescomplemented
47#86775C22132yescomplemented
48#86775C22116yescomplemented
49#86770C22116yescomplemented
50#86769C22132yescomplemented
51#86766C22116yescomplemented
52#86670C22132yescomplemented
53#86667C22164yescomplemented
54#86666C22132yescomplemented
55#86664C22164yescomplemented
56#86662C22132yescomplemented
57#86662C22132yescomplemented
58D3×#546C22132yescomplemented
59D3×#546C22132yescomplemented
60#86648C22132yescomplemented
61#86640C22132yescomplemented
62#86623C22132yescomplemented
63#86623C22132yescomplemented
64#86622C22164yescomplemented
65#86621C22116yescomplemented
66#86621C22132yescomplemented
67#86620C22132yescomplemented
68#86620C22132yescomplemented
69#86620C22132yescomplemented
70#86620C22164yescomplemented
71D3×D42C22132yescomplemented
72D3×D42C22132yescomplemented
73D3×D42C2218yescomplemented
74#86617C2218yescomplemented
75#86615C22132yescomplemented
76#86612C22132yescomplemented
77#86492C22132yescomplemented
78#86491C22132yescomplemented
79#86490C22164yescomplemented
80#86488C22132yescomplemented
81#86487C22132yescomplemented
82#86337C22132yescomplemented
83#86336C22132yescomplemented
84#86334C22132yescomplemented
85#86333C22132yescomplemented
86#86333C22132yescomplemented
87#86332C22116yescomplemented
88#86331C22132yescomplemented
89#86331C22116yescomplemented
90#86330C22116yescomplemented
91#86330C22132yescomplemented
92D3×#535C22116yescomplemented
93#86311C22164yescomplemented
94#86310C22132yescomplemented
95#86309C22116yescomplemented
96#86308C22132yescomplemented
97#86308C22116yescomplemented
98D3×#534C22132yescomplemented
99#86285C2218yescomplemented
100#86280C2214yescomplemented
101#86276C2218yescomplemented
102#86259C2214yescomplemented
103#86252C2218yescomplemented
104#86250C22116yescomplemented
105#86247C2218yescomplemented
106#86247C22116yescomplemented
107#86246C22116yescomplemented
108#86241C2214yescomplemented
109#86241C22116yescomplemented
110#86239C2218yescomplemented
111#86238C22116yescomplemented
112#86238C2218yescomplemented
113#86223C2214yescomplemented
114#86197C2218yescomplemented
115#86197C22116yescomplemented
116#86197C2218yescomplemented
117#86195C2214yescomplemented
118#86195C2218yescomplemented
119#86195C22116yescomplemented
120C2×#5717C2218yescomplemented
121C2×#5717C2218yescomplemented
122C2×#5717C2218yescomplemented
123C2×#5717C2218yescomplemented
124C2×#5717C2218yescomplemented
125C2×#5717C22116yescomplemented
126#86190C2214yescomplemented
127#86190C2218yescomplemented
128#86167C2218yescomplemented
129#86166C2218yescomplemented
130#86161C22116yescomplemented
131#86160C22116yescomplemented
132#86158C22116yescomplemented
133#86153C22116yescomplemented
134#86147C22116yescomplemented
135#86043C22116yescomplemented
136#86039C2218yescomplemented
137D3×#525C22116yescomplemented
138#86024C2218yescomplemented
139#85919C22132yescomplemented
140C2×D3×#120C22116yescomplemented
141#85913C22116yescomplemented
142#85869C22116yescomplemented
143#85868C22116yescomplemented
144#85867C2218yescomplemented
145D3×#518C2218yescomplemented
146#85843C22116yescomplemented
147#85840C2218yescomplemented
148#41×D12C2218yescomplemented
149#85838C2218yescomplemented
150C4×#1009C2218yescomplemented
151#85680C2212yescomplemented
152C22×C4×D12C2212yescomplemented
153#62832D311yescharacteristic, complemented
154C25×D3C2314yescomplemented
155C2×C3×H(5,𝔽2)C2318yescomplemented
156C2×C3×H(5,𝔽2)C2314yescomplemented
157C23×C3×D4C2314yescomplemented
158C23×C3×D4C2312yescomplemented
159C23×#67C2318yescomplemented
160C2×#1009C2318yes—
161C2×#1009C23132yescomplemented
162C2×D3×#41C23116yescomplemented
163C2×D3×#41C23132yescomplemented
164C2×#1004C2318yescomplemented
165C2×#1004C2314yescomplemented
166C2×#1004C23132yescomplemented
167C2×#1004C23132yescomplemented
168C22×D3×D4C2318yes—
169C22×D3×D4C23116yescomplemented
170C22×D3×D4C2318yescomplemented
171C22×D3×D4C23116yescomplemented
172C22×D3×D4C23132yescomplemented
173C22×D3×D4C23116yescomplemented
174C22×D3×D4C23132yescomplemented
175C22×D3×D4C23132yescomplemented
176C22×D3×D4C23116yescomplemented
177C23×D12C2312yes—
178C23×C4×D3C2314yescomplemented
179C3×#560C23132yescomplemented
180C3×#559C2318yescomplemented
181C3×#559C23116yescomplemented
182C3×#550C23116yescomplemented
183C3×#550C23116yescomplemented
184C3×#550C23116yescomplemented
185C3×#546C23132yescomplemented
186C3×#546C23132yescomplemented
187C3×#546C23132yescomplemented
188C3×D42C23132yescomplemented
189C3×D42C23132yescomplemented
190C3×D42C23132yescomplemented
191C3×D42C2318yescomplemented
192C3×D42C23116yescomplemented
193C3×#540C23132yescomplemented
194C3×#540C23116yescomplemented
195C3×#535C23116yescomplemented
196C3×#535C2318yescomplemented
197C3×#535C23132yescomplemented
198C3×#535C23116yescomplemented
199C3×#534C23132yescomplemented
200C3×#534C23116yescomplemented
201C3×#533C2314yescomplemented
202C3×#533C2312yescomplemented
203C3×#532C2314yescomplemented
204C3×#532C2312yescomplemented
205C3×#532C23116yescomplemented
206C3×#532C2318yescomplemented
207C2×C3×#127C2318yescomplemented
208C2×C3×#127C2314yescomplemented
209C2×C3×#127C2314yescomplemented
210C2×C3×#127C2318yescomplemented
211C2×C3×#127C2318yescomplemented
212C3×#529C2318yescomplemented
213C3×#529C2318yescomplemented
214C3×#529C2318yescomplemented
215C3×#525C2318yescomplemented
216C3×#525C2314yescomplemented
217C2×C3×#120C23116yescomplemented
218C3×#518C2318yescomplemented
219C3×#518C2314yescomplemented
220C3×C4×#41C2318yescomplemented
221C3×C4×#41C2314yescomplemented
222C22×C3×C42C2311yescharacteristic, complemented
223C2×#953C23116yescomplemented
224C22×#217C2314yescomplemented
225#5834C23132yescomplemented
226#5833C2318yescomplemented
227#5833C23132yescomplemented
228#5831C23132yescomplemented
229#5830C2318yescomplemented
230#5830C23132yescomplemented
231#5829C23132yescomplemented
232#5829C23132yescomplemented
233#5829C23132yescomplemented
234#5829C23164yescomplemented
235#5828C23116yescomplemented
236#5828C23132yescomplemented
237#5828C23132yescomplemented
238#5827C2318yescomplemented
239#5806C23132yescomplemented
240#5806C23132yescomplemented
241#5806C23132yescomplemented
242#5806C23164yescomplemented
243#5806C23132yescomplemented
244#5805C2318yescomplemented
245#5805C23116yescomplemented
246#5805C23132yescomplemented
247#5804C23132yescomplemented
248#5804C23116yescomplemented
249#5804C23132yescomplemented
250#5804C23132yescomplemented
251#5804C23116yescomplemented
252D4×#67C23132yescomplemented
253D4×#67C23132yescomplemented
254D4×#67C23132yescomplemented
255D4×#67C23132yescomplemented
256D4×#67C23132yescomplemented
257D4×#67C23164yescomplemented
258D4×#67C23164yescomplemented
259D4×#67C23164yescomplemented
260D4×#67C23132yescomplemented
261C2×#938C23116yescomplemented
262C2×#938C23116yescomplemented
263C2×#938C23132yescomplemented
264C2×#938C23116yescomplemented
265C2×#938C23116yescomplemented
266C2×#938C23132yescomplemented
267C2×#937C23116yescomplemented
268C2×#937C23116yescomplemented
269C2×#937C23132yescomplemented
270C2×#937C23132yescomplemented
271C2×#937C23132yescomplemented
272C2×#937C23116yescomplemented
273C2×#937C23132yescomplemented
274#5798C2314yescomplemented
275#5798C2318yescomplemented
276#5798C23116yescomplemented
277#5791C2318yescomplemented
278#5791C2314yescomplemented
279C22×(C2×D3)⋊C4C2314yescomplemented
280C22×C4⋊Dic3C2312yescomplemented
281#5734C2318yescomplemented
282#5732C2318yescomplemented
283#5730C2318yescomplemented
284#5727C2318yescomplemented
285#5726C2318yescomplemented
286#5726C2318yescomplemented
287#5720C23132yescomplemented
288#5720C23132yescomplemented
289#5719C23132yescomplemented
290#5719C23132yescomplemented
291#5719C23116yescomplemented
292#5718C2318yescomplemented
293#5718C23132yescomplemented
294#5718C23116yescomplemented
295#5718C23116yescomplemented
296#5718C23116yescomplemented
297#5717C23132yescomplemented
298#5717C2318yescomplemented
299#5717C2318yescomplemented
300#5717C23132yescomplemented
301#5717C23116yescomplemented
302#5717C23132yescomplemented
303#5717C23132yescomplemented
304#5717C23132yescomplemented
305#5717C23132yescomplemented
306#5717C2318yescomplemented
307#5717C23116yescomplemented
308#5717C2318yescomplemented
309#5717C23132yescomplemented
310#5717C23132yescomplemented
311#5717C2318yescomplemented
312#5717C23132yescomplemented
313#5717C23132yescomplemented
314#5717C23116yescomplemented
315#5717C2318yescomplemented
316#5716C23132yescomplemented
317#5716C23116yescomplemented
318#5716C2318yescomplemented
319#5715C23132yescomplemented
320#5715C23164yescomplemented
321#5715C23132yescomplemented
322#5715C23116yescomplemented
323D3×#127C23132yescomplemented
324D3×#127C2318yescomplemented
325#5713C23116yescomplemented
326#5713C2318yescomplemented
327#5709C23132yescomplemented
328#5707C23132yescomplemented
329#5705C23132yescomplemented
330#5704C23132yescomplemented
331#5695C23116yescomplemented
332#5695C23116yescomplemented
333#5694C23116yescomplemented
334#5692C23132yescomplemented
335#5690C23116yescomplemented
336#5683C23132yescomplemented
337#5682C23132yescomplemented
338#5681C23116yescomplemented
339#5680C23132yescomplemented
340#5679C23132yescomplemented
341#5678C23132yescomplemented
342#5678C23164yescomplemented
343#5677C23116yescomplemented
344#5677C23132yescomplemented
345#5676C23116yescomplemented
346#5676C23132yescomplemented
347#5676C23132yescomplemented
348#5676C23116yescomplemented
349#5676C23132yescomplemented
350#5674C23132yescomplemented
351D3×#124C23132yescomplemented
352#5667C23164yescomplemented
353#5666C23132yescomplemented
354#5665C23132yescomplemented
355#5661C23164yescomplemented
356#5660C23164yescomplemented
357#5659C23132yescomplemented
358#5658C23132yescomplemented
359#5658C23164yescomplemented
360#5657C23164yescomplemented
361#5657C23164yescomplemented
362#5656C23132yescomplemented
363#5656C23132yescomplemented
364#5654C23132yescomplemented
365#5654C23164yescomplemented
366#5654C23164yescomplemented
367#5653C23132yescomplemented
368#5653C23164yescomplemented
369#5653C23132yescomplemented
370D3×#123C23132yescomplemented
371D3×#123C23164yescomplemented
372#5644C23116yescomplemented
373#5642C23116yescomplemented
374#5637C23132yescomplemented
375#5635C23116yescomplemented
376#5634C23116yescomplemented
377#5630C23116yescomplemented
378#5630C23116yescomplemented
379#5627C23116yescomplemented
380#5627C23116yescomplemented
381D3×C22⋊Q8C23116yescomplemented
382D3×C22⋊Q8C23116yescomplemented
383#5621C23164yescomplemented
384#5620C23164yescomplemented
385#5620C23164yescomplemented
386#5620C23164yescomplemented
387#5619C23164yescomplemented
388#5618C23116yescomplemented
389#5618C23132yescomplemented
390#5617C23116yescomplemented
391#5617C23164yescomplemented
392#5616C23132yescomplemented
393#5615C23164yescomplemented
394#5614C23164yescomplemented
395#5614C23132yescomplemented
396#5613C23164yescomplemented
397#5613C23164yescomplemented
398#5613C23164yescomplemented
399#5612C23132yescomplemented
400#5612C23132yescomplemented
401#5612C23164yescomplemented
402#5612C23164yescomplemented
403#5611C23116yescomplemented
404#5611C23132yescomplemented
405#5610C23164yescomplemented
406#5610C23164yescomplemented
407#5610C23132yescomplemented
408#5610C23164yescomplemented
409#5610C23164yescomplemented
410#5609C23116yescomplemented
411#5609C23116yescomplemented
412#5609C23164yescomplemented
413#5609C23164yescomplemented
414#5609C23132yescomplemented
415#5609C23132yescomplemented
416#5609C23164yescomplemented
417#5608C23164yescomplemented
418#5608C23132yescomplemented
419#5607C23132yescomplemented
420#5607C23132yescomplemented
421#5607C23164yescomplemented
422#5607C23132yescomplemented
423#5606C23116yescomplemented
424#5606C23116yescomplemented
425#5606C23164yescomplemented
426#5606C23132yescomplemented
427#5605C23164yescomplemented
428#5605C23164yescomplemented
429#5605C23116yescomplemented
430#5605C23164yescomplemented
431D3×#121C23164yescomplemented
432D3×#121C23164yescomplemented
433D3×#121C23132yescomplemented
434D3×#121C23132yescomplemented
435D3×#121C23116yescomplemented
436D3×#121C23116yescomplemented
437D3×#121C23132yescomplemented
438#5595C23164yescomplemented
439#5594C23132yescomplemented
440#5593C23164yescomplemented
441#5593C23164yescomplemented
442#5592C23164yescomplemented
443#5592C23132yescomplemented
444#5591C23164yescomplemented
445#5591C23164yescomplemented
446#5591C23164yescomplemented
447#5591C23164yescomplemented
448#5591C23164yescomplemented
449#5590C23164yescomplemented
450#5590C23164yescomplemented
451#5590C23164yescomplemented
452#5590C23164yescomplemented
453#5590C23132yescomplemented
454#5589C23164yescomplemented
455#5589C23164yescomplemented
456#5589C23164yescomplemented
457#5589C23164yescomplemented
458D3×#120C23132yescomplemented
459D3×#120C23164yescomplemented
460D3×#120C23164yescomplemented
461D3×#120C23164yescomplemented
462D3×#120C23164yescomplemented
463D3×#120C23132yescomplemented
464#5587C23164yescomplemented
465#5586C23132yescomplemented
466#5585C23116yescomplemented
467#5584C2318yescomplemented
468#5582C23116yescomplemented
469#5581C23116yescomplemented
470#5580C23132yescomplemented
471#5580C23116yescomplemented
472#5579C2318yescomplemented
473#5579C23116yescomplemented
474#5577C2318yescomplemented
475#5576C23116yescomplemented
476Q8×D12C2318yescomplemented
477#5574C23116yescomplemented
478C4×#239C23116yescomplemented
479#5565C23116yescomplemented
480#5565C23116yescomplemented
481#5563C2318yescomplemented
482#5563C23132yescomplemented
483#5562C23116yescomplemented
484#5562C23132yescomplemented
485#5561C23132yescomplemented
486#5560C23132yescomplemented
487#5560C23164yescomplemented
488#5558C23116yescomplemented
489#5558C23132yescomplemented
490#5558C23132yescomplemented
491#5557C23132yescomplemented
492#5556C23132yescomplemented
493#5556C23164yescomplemented
494#5555C2318yescomplemented
495#5555C23116yescomplemented
496#5554C23116yescomplemented
497#5554C23132yescomplemented
498#5554C23132yescomplemented
499#5554C23132yescomplemented
500#5551C2318yescomplemented
501#5551C23132yescomplemented
502#5550C23116yescomplemented
503#5550C23116yescomplemented
504#5550C23116yescomplemented
505#5550C23164yescomplemented
506D4×D12C23116yescomplemented
507D4×D12C23116yescomplemented
508D4×D12C2318yescomplemented
509D4×D12C23132yescomplemented
510D4×D12C23132yescomplemented
511#5548C23116yescomplemented
512#5548C23132yescomplemented
513#5547C23132yescomplemented
514#5547C23132yescomplemented
515#5547C23132yescomplemented
516#5547C23164yescomplemented
517#5545C23132yescomplemented
518#5545C23132yescomplemented
519#5545C23116yescomplemented
520#5545C23132yescomplemented
521C4×D3×D4C23132yescomplemented
522C4×D3×D4C23132yescomplemented
523C4×D3×D4C23116yescomplemented
524C4×D3×D4C23132yescomplemented
525C4×D3×D4C23132yescomplemented
526#5543C23116yescomplemented
527#5541C23116yescomplemented
528#5535C23116yescomplemented
529#5534C23116yescomplemented
530#5530C23132yescomplemented
531#5528C23132yescomplemented
532#5527C23132yescomplemented
533#5527C23132yescomplemented
534#5525C2318yescomplemented
535#5524C23132yescomplemented
536#5524C23116yescomplemented
537#5523C23116yescomplemented
538#5523C2318yescomplemented
539#5521C2318yes—
540#5521C23116yescomplemented
541D3×#117C23116yescomplemented
542#5519C2318yescomplemented
543#5495C23164yescomplemented
544#5493C23132yescomplemented
545#5490C23164yescomplemented
546#5490C23164yescomplemented
547C2×#882C23132yescomplemented
548C2×#882C23116yescomplemented
549#5486C23132yescomplemented
550#5486C23116yescomplemented
551C2×D3×C22⋊C4C23132yescomplemented
552C2×D3×C22⋊C4C23116yescomplemented
553#5483C23116yescomplemented
554#5479C23116yescomplemented
555#5479C2318yescomplemented
556#5479C2318yescomplemented
557#5479C2318yescomplemented
558#5477C23116yescomplemented
559#5477C2314yescomplemented
560#5477C2312yescomplemented
561C4×#235C23116yescomplemented
562C4×#235C2318yescomplemented
563C4×#235C2314yescomplemented
564C2×C4×D12C2314yes—
565C2×C4×D12C2318yescomplemented
566C2×C4×D12C2318yescomplemented
567C2×C4×D12C2314yescomplemented
568C2×C4×D12C2318yescomplemented
569C2×C4×D12C2318yescomplemented
570C2×C4×D12C2318yescomplemented
571C2×C4×D12C23116yescomplemented
572#5470C2314yescomplemented
573#5470C2312yescomplemented
574#3543C2×D318yescomplemented
575#3543C2×D3116yescomplemented
576#3508C2×D314yescomplemented
577#3508C2×D318yescomplemented
578#3498C2×D314yescomplemented
579#3498C2×D318yescomplemented
580#3484C2×D318yescomplemented
581#3484C2×D314yescomplemented
582#3444C2×D312yescomplemented
583C22×#127C2×D311yescharacteristic, complemented
584C25×C3C2414yes—
585C24×D3C2414yes—
586C24×D3C24116yes—
587C24×D3C24116yes—
588C24×D3C24116yes—
589C24×D3C24116yescomplemented
590C2×C3×#41C2418yes—
591C2×C3×#41C2414yes—
592C2×C3×#41C24132yescomplemented
593C2×C3×#41C24116yescomplemented
594C22×C3×D4C2418yes—
595C22×C3×D4C24116yes—
596C22×C3×D4C24116yes—
597C22×C3×D4C2418yes—
598C22×C3×D4C24132yes—
599C22×C3×D4C24116yes—
600C22×C3×D4C2414yes—
601C22×C3×D4C2414yes—
602C22×C3×D4C24116yes—
603C22×C3×D4C24132yescomplemented
604C22×C3×D4C24116yescomplemented
605C23×C3×C4C2412yes—
606C23×C3×C4C2411yescharacteristic
607C22×#67C24116yes—
608C22×#67C24132yes—
609C22×#67C24132yes—
610C22×#67C24116yes—
611C22×#67C24132yes—
612C22×#67C24116yes—
613C22×#67C24132yescomplemented
614C22×#67C24164yescomplemented
615C22×#67C24116yescomplemented
616C23×Dic3C2414yes—
617C2×#239C24116yes—
618C2×#239C24116yescomplemented
619C2×D3×Q8C24116yescomplemented
620C2×#237C24132yes—
621C2×#237C24116yescomplemented
622C2×#237C24116yescomplemented
623C2×#237C24132yescomplemented
624C2×#237C24164yescomplemented
625C2×D3×D4C24164yes—
626C2×D3×D4C24132yes—
627C2×D3×D4C24164yes—
628C2×D3×D4C24132yes—
629C2×D3×D4C24132yes—
630C2×D3×D4C24132yes—
631C2×D3×D4C24132yes—
632C2×D3×D4C24132yes—
633C2×D3×D4C24132yes—
634C2×D3×D4C24116yes—
635C2×D3×D4C24116yescomplemented
636C2×D3×D4C24116yescomplemented
637C2×D3×D4C24132yescomplemented
638C2×D3×D4C24164yescomplemented
639C2×D3×D4C24164yescomplemented
640C2×D3×D4C24164yescomplemented
641C2×D3×D4C24164yescomplemented
642C2×#235C2414yes—
643C2×#235C2418yes—
644C2×#235C24116yes—
645C2×#235C24164yescomplemented
646C2×#235C24132yescomplemented
647C22×D12C2412yes—
648C22×D12C2414yes—
649C22×D12C2412yes—
650C22×D12C2418yes—
651C22×D12C2418yes—
652C22×D12C24116yes—
653C22×D12C24132yescomplemented
654C22×D12C24116yescomplemented
655C22×C4×D3C2418yes—
656C22×C4×D3C2418yes—
657C22×C4×D3C2418yes—
658C22×C4×D3C24116yes—
659C22×C4×D3C2418yes—
660C22×C4×D3C24132yescomplemented
661C22×C4×D3C24116yescomplemented
662C22×C4×D3C24132yescomplemented
663C3×C4⋊Q8C2414yescomplemented
664C3×C4⋊Q8C2412yescomplemented
665C3×#127C2418yes—
666C3×#127C24116yes—
667C3×#127C2418yes—
668C3×#127C2418yes—
669C3×#127C24116yes—
670C3×#127C2418yes—
671C3×#127C24132yescomplemented
672C3×#127C24116yescomplemented
673C3×#127C2412yescomplemented
674C3×#126C24116yescomplemented
675C3×#125C2418yescomplemented
676C3×#125C2414yescomplemented
677C3×#124C24132yescomplemented
678C3×#124C24116yescomplemented
679C3×#124C2418yescomplemented
680C3×#124C2414yescomplemented
681C3×#123C24116yes—
682C3×#123C2418yes—
683C3×#123C24164yescomplemented
684C3×#123C24132yescomplemented
685C3×C22⋊Q8C2418yes—
686C3×C22⋊Q8C2418yes—
687C3×C22⋊Q8C2418yes—
688C3×#121C2418yes—
689C3×#121C2418yes—
690C3×#121C2418yes—
691C3×#121C24164yescomplemented
692C3×#121C24164yescomplemented
693C3×#121C24164yescomplemented
694C3×#121C24132yescomplemented
695C3×#121C24132yescomplemented
696C3×#121C24132yescomplemented
697C3×#120C2418yes—
698C3×#120C24164yes—
699C3×#120C24132yes—
700C3×#120C24164yescomplemented
701C3×#120C24132yescomplemented
702C3×C4×Q8C2418yescomplemented
703C3×C4×Q8C2418yescomplemented
704C3×C4×Q8C2418yescomplemented
705C3×C4×D4C24116yes—
706C3×C4×D4C24116yes—
707C3×C4×D4C24116yes—
708C3×C4×D4C24132yescomplemented
709C3×C4×D4C24132yescomplemented
710C3×C4×D4C24132yescomplemented
711C3×C4×D4C2418yescomplemented
712C3×C4×D4C2418yescomplemented
713C3×C4×D4C2418yescomplemented
714C3×#117C2418yes—
715C3×#117C2414yes—
716C3×#117C24116yescomplemented
717C3×#117C2418yescomplemented
718C2×C3×C22⋊C4C24116yes—
719C2×C3×C22⋊C4C24132yes—
720C2×C3×C42C2414yes—
721C2×C3×C42C2412yes—
722C2×C3×C42C2412yes—
723C2×C3×C42C2414yes—
724C2×C3×C42C2418yescomplemented
725#953C24132yes—
726#953C24164yes—
727#953C2418yes—
728#953C24164yescomplemented
729#953C24132yescomplemented
730C2×#217C24116yes—
731C2×#217C24116yes—
732C2×#217C24132yes—
733C2×#217C24132yes—
734C2×#217C24132yescomplemented
735#947C24116yes—
736#947C24132yescomplemented
737#946C24132yescomplemented
738#946C24116yescomplemented
739#946C24116yescomplemented
740#946C24116yescomplemented
741Q8×Dic3C24116yescomplemented
742#940C24116yes—
743#940C24116yescomplemented
744#940C24132yescomplemented
745#940C24164yescomplemented
746#940C24164yescomplemented
747#939C24132yes—
748#939C24132yes—
749#939C24164yescomplemented
750#939C24164yescomplemented
751#939C24164yescomplemented
752#939C24132yescomplemented
753#939C24164yescomplemented
754#939C24164yescomplemented
755#939C24164yescomplemented
756#939C24164yescomplemented
757#939C24164yescomplemented
758#938C24164yes—
759#938C24164yes—
760#938C24132yes—
761#938C24132yes—
762#938C24132yes—
763#938C24132yes—
764#938C24132yescomplemented
765#938C24132yescomplemented
766#938C24132yescomplemented
767#938C24116yescomplemented
768#938C24116yescomplemented
769#938C24116yescomplemented
770#938C24164yescomplemented
771#938C24164yescomplemented
772#938C24164yescomplemented
773#937C24132yes—
774#937C24132yes—
775#937C24132yes—
776#937C24132yes—
777#937C24164yes—
778#937C24132yes—
779#937C24164yes—
780#937C24132yes—
781#937C24132yes—
782#937C24164yescomplemented
783#937C24132yescomplemented
784#937C24132yescomplemented
785#937C24132yescomplemented
786#937C24164yescomplemented
787#937C24164yescomplemented
788#937C24164yescomplemented
789#937C24132yescomplemented
790#937C24164yescomplemented
791#937C24132yescomplemented
792#936C24116yescomplemented
793#936C24132yescomplemented
794#936C24164yescomplemented
795#935C24132yes—
796#935C24164yescomplemented
797#935C24132yescomplemented
798#935C24132yescomplemented
799#935C24164yescomplemented
800D4×Dic3C24132yes—
801D4×Dic3C24132yes—
802D4×Dic3C24132yescomplemented
803D4×Dic3C24132yescomplemented
804D4×Dic3C24116yescomplemented
805D4×Dic3C24132yescomplemented
806D4×Dic3C24164yescomplemented
807#930C2418yes—
808#930C2418yes—
809#930C2418yes—
810#930C24116yes—
811#930C24116yes—
812#930C24164yescomplemented
813#930C24164yescomplemented
814#930C24132yescomplemented
815#930C24116yescomplemented
816#929C24116yes—
817#929C2418yes—
818#929C24164yescomplemented
819#929C24132yescomplemented
820#929C24132yescomplemented
821C4×#67C24116yes—
822C4×#67C24116yes—
823C4×#67C24116yes—
824C4×#67C24164yescomplemented
825C4×#67C24164yescomplemented
826C4×#67C24164yescomplemented
827C4×#67C24132yescomplemented
828C4×#67C24132yescomplemented
829C4×#67C24132yescomplemented
830C2×(C2×D3)⋊C4C2418yes—
831C2×(C2×D3)⋊C4C24116yes—
832C2×(C2×D3)⋊C4C2418yes—
833C2×(C2×D3)⋊C4C2418yes—
834C2×(C2×D3)⋊C4C2418yes—
835C2×(C2×D3)⋊C4C24132yescomplemented
836C2×(C2×D3)⋊C4C24132yescomplemented
837C2×(C2×D3)⋊C4C24132yescomplemented
838C2×(C2×D3)⋊C4C24132yescomplemented
839#926C2414yes—
840#926C2418yes—
841#926C24132yescomplemented
842#926C24116yescomplemented
843C2×C4⋊Dic3C2418yes—
844C2×C4⋊Dic3C2418yes—
845C2×C4⋊Dic3C2414yes—
846C2×C4⋊Dic3C2414yes—
847C2×C4⋊Dic3C24116yescomplemented
848#924C2418yes—
849#924C2418yes—
850#924C2418yes—
851#924C24164yescomplemented
852#924C24116yescomplemented
853#898C24132yescomplemented
854#898C24132yescomplemented
855#898C24132yescomplemented
856#898C24132yescomplemented
857#897C24132yescomplemented
858#897C24132yescomplemented
859#897C24116yescomplemented
860#897C24116yescomplemented
861#896C24132yescomplemented
862#896C24132yescomplemented
863#896C24132yescomplemented
864#896C24132yescomplemented
865#895C24132yes—
866#895C24132yes—
867#895C24116yes—
868#895C24116yes—
869#895C24132yescomplemented
870#895C24116yescomplemented
871#895C24116yescomplemented
872#894C24132yes—
873#894C24132yes—
874#894C24132yescomplemented
875#894C24132yescomplemented
876#894C24132yescomplemented
877#894C24132yescomplemented
878#894C24132yescomplemented
879#893C24116yes—
880#893C24116yes—
881#893C24132yescomplemented
882#893C24132yescomplemented
883#893C24132yescomplemented
884#892C24132yescomplemented
885#892C24116yescomplemented
886#892C24116yescomplemented
887#892C24116yescomplemented
888D3×C4⋊C4C24116yescomplemented
889D3×C4⋊C4C24132yescomplemented
890D3×C4⋊C4C24132yescomplemented
891D3×C4⋊C4C24116yescomplemented
892D3×C4⋊C4C24116yescomplemented
893#890C24132yescomplemented
894#890C24116yescomplemented
895#889C24132yescomplemented
896#888C24116yescomplemented
897#886C24132yes—
898#886C24164yescomplemented
899#886C24132yescomplemented
900#886C24132yescomplemented
901#885C24164yescomplemented
902#885C24164yescomplemented
903#885C24132yescomplemented
904#885C24164yescomplemented
905#885C24132yescomplemented
906#884C24132yes—
907#884C24132yes—
908#884C24164yescomplemented
909#884C24164yescomplemented
910#884C24164yescomplemented
911#884C24164yescomplemented
912#884C24132yescomplemented
913#884C24132yescomplemented
914#884C24132yescomplemented
915#883C24164yescomplemented
916#883C24164yescomplemented
917#883C24132yescomplemented
918#883C24132yescomplemented
919#883C24132yescomplemented
920#883C24164yescomplemented
921#883C24132yescomplemented
922#882C24132yes—
923#882C24132yes—
924#882C24132yes—
925#882C24132yes—
926#882C24132yes—
927#882C24132yescomplemented
928#882C24164yescomplemented
929#882C24164yescomplemented
930#882C24132yescomplemented
931#882C24164yescomplemented
932#882C24132yescomplemented
933#67⋊C4C24132yes—
934#67⋊C4C24132yes—
935#67⋊C4C24164yescomplemented
936#67⋊C4C24164yescomplemented
937#67⋊C4C24132yescomplemented
938#67⋊C4C24132yescomplemented
939#67⋊C4C24132yescomplemented
940D3×C22⋊C4C24132yes—
941D3×C22⋊C4C24132yes—
942D3×C22⋊C4C24132yes—
943D3×C22⋊C4C24164yescomplemented
944D3×C22⋊C4C24164yescomplemented
945D3×C22⋊C4C24164yescomplemented
946D3×C22⋊C4C24132yescomplemented
947D3×C22⋊C4C24132yescomplemented
948D3×C22⋊C4C24132yescomplemented
949D3×C22⋊C4C24132yescomplemented
950#879C24164yescomplemented
951#879C24164yescomplemented
952#879C24132yescomplemented
953#878C24132yes—
954#878C24132yes—
955#878C24164yescomplemented
956#878C24132yescomplemented
957#877C24132yes—
958#877C24132yescomplemented
959#876C24116yescomplemented
960#876C24132yescomplemented
961#875C24116yes—
962#875C24132yescomplemented
963#875C2414yescomplemented
964#875C2418yescomplemented
965#874C24116yes—
966#874C2412yescomplemented
967C4×D12C2418yes—
968C4×D12C24116yes—
969C4×D12C24116yes—
970C4×D12C24116yes—
971C4×D12C24116yes—
972C4×D12C2418yes—
973C4×D12C24116yes—
974C4×D12C2418yes—
975C4×D12C2418yes—
976C4×D12C2418yes—
977C4×D12C2418yes—
978C4×D12C24116yes—
979C4×D12C2418yes—
980C4×D12C2418yes—
981C4×D12C2418yescomplemented
982C4×D12C2418yescomplemented
983C4×D12C24116yescomplemented
984C4×D12C24132yescomplemented
985C4×D12C24132yescomplemented
986C4×D12C24132yescomplemented
987C4×D12C2418yescomplemented
988#872C24132yescomplemented
989#872C24132yescomplemented
990#872C2418yescomplemented
991#872C24116yescomplemented
992C42×D3C24132yescomplemented
993C42×D3C2418yescomplemented
994#870C24116yescomplemented
995#870C2414yescomplemented
996#870C2418yescomplemented
997#869C24116yescomplemented
998#869C2414yescomplemented
999#869C2412yescomplemented
1000C4×Dic6C2418yescomplemented
1001C4×Dic6C24116yescomplemented
1002C4×Dic6C2418yescomplemented
1003C4×Dic6C2418yescomplemented
1004C2×H(5,𝔽2)C22×D318yescomplemented
1005C2×H(5,𝔽2)C22×D314yescomplemented
1006C23×D4C22×D314yescomplemented
1007C23×D4C22×D312yescomplemented
1008#560C22×D3132yescomplemented
1009#559C22×D318yescomplemented
1010#559C22×D3116yescomplemented
1011#550C22×D3116yescomplemented
1012#550C22×D3116yescomplemented
1013#550C22×D3116yescomplemented
1014#546C22×D3132yescomplemented
1015#546C22×D3132yescomplemented
1016#546C22×D3132yescomplemented
1017D42C22×D3132yescomplemented
1018D42C22×D3132yescomplemented
1019D42C22×D3132yescomplemented
1020D42C22×D318yescomplemented
1021D42C22×D3116yescomplemented
1022#540C22×D3132yescomplemented
1023#540C22×D3116yescomplemented
1024#535C22×D3116yescomplemented
1025#535C22×D318yescomplemented
1026#535C22×D3132yescomplemented
1027#535C22×D3116yescomplemented
1028#534C22×D3132yescomplemented
1029#534C22×D3116yescomplemented
1030#533C22×D314yescomplemented
1031#533C22×D312yescomplemented
1032#532C22×D314yescomplemented
1033#532C22×D312yescomplemented
1034#532C22×D3116yescomplemented
1035#532C22×D318yescomplemented
1036C2×#127C22×D318yescomplemented
1037C2×#127C22×D314yescomplemented
1038C2×#127C22×D314yescomplemented
1039C2×#127C22×D318yescomplemented
1040C2×#127C22×D318yescomplemented
1041#529C22×D318yescomplemented
1042#529C22×D318yescomplemented
1043#529C22×D318yescomplemented
1044#525C22×D318yescomplemented
1045#525C22×D314yescomplemented
1046C2×#120C22×D3116yescomplemented
1047#518C22×D318yescomplemented
1048#518C22×D314yescomplemented
1049C4×#41C22×D318yescomplemented
1050C4×#41C22×D314yescomplemented
1051C22×C42C22×D311yescharacteristic, complemented
1052C24×C3C2511yescharacteristic
1053C24×C3C25116yes—
1054C24×C3C2518yes—
1055C24×C3C25116yes—
1056C23×D3C2514yes—
1057C23×D3C2518yes—
1058C23×D3C2518yes—
1059C23×D3C25132yes—
1060C23×D3C25116yes—
1061C23×D3C25132yes—
1062C23×D3C25116yes—
1063C23×D3C2514yes—
1064C23×D3C25116yes—
1065C2×C3×Q8C2518yes—
1066C2×C3×Q8C2514yes—
1067C2×C3×D4C2518yes—
1068C2×C3×D4C25116yes—
1069C2×C3×D4C25132yes—
1070C2×C3×D4C25116yes—
1071C2×C3×D4C25132yes—
1072C2×C3×D4C2518yes—
1073C2×C3×D4C25116yes—
1074C2×C3×D4C25132yes—
1075C2×C3×D4C25164yes—
1076C2×C3×D4C2514yes—
1077C22×C3×C4C2512yes—
1078C22×C3×C4C2514yes—
1079C22×C3×C4C2514yes—
1080C22×C3×C4C2514yes—
1081C22×C3×C4C25132yes—
1082C22×C3×C4C25116yes—
1083C22×C3×C4C2512yes—
1084C22×C3×C4C2511yescharacteristic
1085C22×C3×C4C25116yes—
1086C22×C3×C4C2511yescharacteristic
1087C22×C3×C4C2518yes—
1088C2×#67C2518yes—
1089C2×#67C25116yes—
1090C2×#67C25164yes—
1091C2×#67C25132yes—
1092C2×#67C25132yes—
1093C2×#67C25132yes—
1094C2×#67C25164yes—
1095C2×#67C25132yes—
1096C2×#67C25132yes—
1097C2×#67C25164yes—
1098C22×Dic3C2518yes—
1099C22×Dic3C25116yes—
1100C22×Dic3C2518yes—
1101C22×Dic3C2518yes—
1102C22×Dic3C25132yes—
1103C22×Dic3C25132yes—
1104C2×D12H(5,𝔽2)116yescomplemented
1105C2×D12C2518yes—
1106C2×D12C2518yes—
1107C2×D12C25116yes—
1108C2×D12C2518yes—
1109C2×D12C2514yes—
1110C2×D12C25132yes—
1111C2×D12C25132yes—
1112C2×D12C25132yes—
1113C2×C4×D3C25116yes—
1114C2×C4×D3C25116yes—
1115C2×C4×D3C2518yes—
1116C2×C4×D3C25132yes—
1117C2×C4×D3C25132yes—
1118C2×C4×D3C25116yes—
1119C2×C4×D3C25116yes—
1120C2×C4×D3C25116yes—
1121C2×C4×D3C25132yes—
1122C2×C4×D3C25132yes—
1123C2×Dic6C2518yes—
1124C2×Dic6C2514yes—
1125C2×Dic6C25132yes—
1126C3×C4⋊C4C2518yes—
1127C3×C4⋊C4C25116yes—
1128C3×C4⋊C4C2518yes—
1129C3×C4⋊C4C25116yes—
1130C3×C4⋊C4C25116yes—
1131C3×C4⋊C4C2518yes—
1132C3×C22⋊C4C25116yes—
1133C3×C22⋊C4C25132yes—
1134C3×C22⋊C4C2518yes—
1135C3×C22⋊C4C25116yes—
1136C3×C22⋊C4C25116yes—
1137C3×C22⋊C4C25164yes—
1138C3×C22⋊C4C25116yes—
1139C3×C42C2512yes—
1140C3×C42C2514yes—
1141C3×C42C25116yes—
1142C3×C42C2512yes—
1143C3×C42C2514yes—
1144C3×C42C2512yes—
1145C3×C42C2518yes—
1146C3×C42C2512yes—
1147#217C25116yes—
1148#217C25132yes—
1149#217C2518yes—
1150#217C25132yes—
1151#217C25132yes—
1152#217C25164yes—
1153#217C25132yes—
1154#217C25132yes—
1155(C2×D3)⋊C4C25116yes—
1156(C2×D3)⋊C4C25132yes—
1157(C2×D3)⋊C4C25116yes—
1158(C2×D3)⋊C4C25116yes—
1159(C2×D3)⋊C4C25116yes—
1160(C2×D3)⋊C4C25132yes—
1161(C2×D3)⋊C4C25132yes—
1162(C2×D3)⋊C4C25116yes—
1163(C2×D3)⋊C4C25116yes—
1164(C2×D3)⋊C4C25116yes—
1165(C2×D3)⋊C4C25132yes—
1166(C2×D3)⋊C4C25132yes—
1167(C2×D3)⋊C4C25132yes—
1168(C2×D3)⋊C4C25132yes—
1169(C2×D3)⋊C4C25132yes—
1170C4⋊Dic3C2518yes—
1171C4⋊Dic3C2518yes—
1172C4⋊Dic3C2518yes—
1173C4⋊Dic3C2518yes—
1174C4⋊Dic3C2518yes—
1175C4⋊Dic3C25132yes—
1176C4⋊Dic3C25116yes—
1177C4⋊Dic3C25132yes—
1178Dic3⋊C4C25116yes—
1179Dic3⋊C4C25116yes—
1180Dic3⋊C4C25116yes—
1181Dic3⋊C4C25132yes—
1182Dic3⋊C4C25132yes—
1183Dic3⋊C4C25132yes—
1184Dic3⋊C4C25132yes—
1185C4×Dic3C25116yes—
1186C4×Dic3C2518yes—
1187C4×Dic3C25132yes—
1188C4×Dic3C25132yes—
1189C25C23×D314yes—
1190C2×#41C23×D318yes—
1191C2×#41C23×D314yes—
1192C2×#41C23×D3132yescomplemented
1193C2×#41C23×D3116yescomplemented
1194C22×D4C23×D318yes—
1195C22×D4C23×D314yes—
1196C22×D4C23×D3132yes—
1197C22×D4C23×D3116yes—
1198C22×D4C23×D318yes—
1199C22×D4C23×D314yes—
1200C22×D4C23×D3116yes—
1201C22×D4C23×D3116yes—
1202C22×D4C23×D3116yes—
1203C22×D4C23×D3132yescomplemented
1204C22×D4C23×D3116yescomplemented
1205C23×C4C23×D312yes—
1206C23×C4C23×D311yescharacteristic
1207C4⋊Q8C23×D314yescomplemented
1208C4⋊Q8C23×D312yescomplemented
1209#127C23×D318yes—
1210#127C23×D3116yes—
1211#127C23×D318yes—
1212#127C23×D318yes—
1213#127C23×D3116yes—
1214#127C23×D318yes—
1215#127C23×D312yescomplemented
1216#127C23×D3132yescomplemented
1217#127C23×D3116yescomplemented
1218#126C23×D3116yescomplemented
1219#125C23×D318yescomplemented
1220#125C23×D314yescomplemented
1221#124C23×D318yescomplemented
1222#124C23×D314yescomplemented
1223#124C23×D3132yescomplemented
1224#124C23×D3116yescomplemented
1225#123C23×D3116yes—
1226#123C23×D318yes—
1227#123C23×D3164yescomplemented
1228#123C23×D3132yescomplemented
1229C22⋊Q8C23×D318yes—
1230C22⋊Q8C23×D318yes—
1231C22⋊Q8C23×D318yes—
1232#121C23×D318yes—
1233#121C23×D318yes—
1234#121C23×D318yes—
1235#121C23×D3132yescomplemented
1236#121C23×D3132yescomplemented
1237#121C23×D3132yescomplemented
1238#121C23×D3164yescomplemented
1239#121C23×D3164yescomplemented
1240#121C23×D3164yescomplemented
1241#120C23×D318yes—
1242#120C23×D3164yes—
1243#120C23×D3132yes—
1244#120C23×D3164yescomplemented
1245#120C23×D3132yescomplemented
1246C4×Q8C23×D318yescomplemented
1247C4×Q8C23×D318yescomplemented
1248C4×Q8C23×D318yescomplemented
1249C4×D4C23×D3116yes—
1250C4×D4C23×D3116yes—
1251C4×D4C23×D3116yes—
1252C4×D4C23×D318yescomplemented
1253C4×D4C23×D318yescomplemented
1254C4×D4C23×D318yescomplemented
1255C4×D4C23×D3132yescomplemented
1256C4×D4C23×D3132yescomplemented
1257C4×D4C23×D3132yescomplemented
1258#117C23×D318yes—
1259#117C23×D314yes—
1260#117C23×D3116yescomplemented
1261#117C23×D318yescomplemented
1262C2×C22⋊C4C23×D3116yes—
1263C2×C22⋊C4C23×D3132yes—
1264C2×C42C23×D314yes—
1265C2×C42C23×D312yes—
1266C2×C42C23×D312yes—
1267C2×C42C23×D314yes—
1268C2×C42C23×D318yescomplemented
1269C23×C3C2612yes—
1270C23×C3C2611yescharacteristic
1271C23×C3C26116yes—
1272C23×C3C2618yes—
1273C22×D3C2×H(5,𝔽2)116yescomplemented
1274C22×D3C2618yes—
1275C22×D3C2618yes—
1276C22×D3C2618yes—
1277C2×C3×C4C2×H(5,𝔽2)18yescomplemented
1278C2×C3×C4C2614yes—
1279C2×C3×C4C2618yes—
1280C2×C3×C4C2612yes—
1281C2×C3×C4C26116yes—
1282C2×C3×C4C2614yes—
1283C2×C3×C4C2612yes—
1284C2×Dic3C2618yes—
1285C2×Dic3C26116yes—
1286C2×Dic3C26116yes—
1287D12C2×H(5,𝔽2)132yescomplemented
1288C24C24×D3116yes—
1289C24C24×D318yes—
1290C24C24×D311yescharacteristic
1291C24C24×D3116yes—
1292C2×Q8C24×D318yes—
1293C2×Q8C24×D314yes—
1294C2×D4C24×D3116yes—
1295C2×D4C24×D318yes—
1296C2×D4C24×D318yes—
1297C2×D4C24×D314yes—
1298C2×D4C24×D3132yes—
1299C2×D4C24×D3116yes—
1300C2×D4C24×D3132yes—
1301C2×D4C24×D3164yes—
1302C2×D4C24×D3116yes—
1303C2×D4C24×D3132yes—
1304C22×C4C24×D312yes—
1305C22×C4C24×D311yescharacteristic
1306C22×C4C24×D314yes—
1307C22×C4C24×D314yes—
1308C22×C4C24×D314yes—
1309C22×C4C24×D312yes—
1310C22×C4C24×D311yescharacteristic
1311C22×C4C24×D3116yes—
1312C22×C4C24×D318yes—
1313C22×C4C24×D3132yes—
1314C22×C4C24×D3116yes—
1315C4⋊C4C24×D318yes—
1316C4⋊C4C24×D318yes—
1317C4⋊C4C24×D318yes—
1318C4⋊C4C24×D3116yes—
1319C4⋊C4C24×D3116yes—
1320C4⋊C4C24×D3116yes—
1321C22⋊C4C24×D3116yes—
1322C22⋊C4C24×D318yes—
1323C22⋊C4C24×D3132yes—
1324C22⋊C4C24×D3164yes—
1325C22⋊C4C24×D3116yes—
1326C22⋊C4C24×D3116yes—
1327C22⋊C4C24×D3116yes—
1328C42C24×D312yes—
1329C42C24×D314yes—
1330C42C24×D312yes—
1331C42C24×D312yes—
1332C42C24×D314yes—
1333C42C24×D312yes—
1334C42C24×D3116yes—
1335C42C24×D318yes—
1336C22×C3C22×H(5,𝔽2)14yes—
1337C22×C3H(7,𝔽2)12yes—
1338C22×C3C2711yescharacteristic
1339C2×D3C22×H(5,𝔽2)116yes—
1340C3×C4C22×H(5,𝔽2)18yes—
1341C23C25×D312yes—
1342C23C25×D311yescharacteristic
1343C23C25×D3116yes—
1344C23C25×D318yes—
1345C2×C4D3×H(5,𝔽2)18yescomplemented
1346C2×C4C25×D314yes—
1347C2×C4C25×D312yes—
1348C2×C4C25×D312yes—
1349C2×C4C25×D314yes—
1350C2×C4C25×D318yes—
1351C2×C4C25×D3116yes—
1352C2×C3C23×H(5,𝔽2)12yes—
1353C2×C3C2×H(7,𝔽2)11yescharacteristic
1354C22C2×D3×H(5,𝔽2)14yes—
1355C22#8756812yes—
1356C22C26×D311yescharacteristic
1357C4C2×D3×H(5,𝔽2)18yes—
1358C3#1058647211yescharacteristic, complemented, Sylow
1359C2C22×D3×H(5,𝔽2)12yes—
1360C2C2×#8756811yescharacteristic
subgroupG/H
center, FrattiniC22C26×D3
commutator, socle, cosocleC22×C3C27
FittingC3×#62832C2
hypercenter#62832D3
hypocenterC3#10586472
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ #62832

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #11707717C2semidirect
2. #11707712C2semidirect
3. #11707693C2semidirect
4. #11707692C2semidirect
5. #11707313C2semidirect
6. #11707291C2semidirect
7. #11705524C2semidirect
8. #11705518C2semidirect
9. #11705066C2semidirect
10. #11704069C2semidirect
11. #11703807C2semidirect
12. #11703803C2semidirect
13. #11703210C2semidirect
14. D3×#3484C2semidirect
15. C22×#5717C2semidirect
16. C3×#62832C2semidirect
17. C2×D3×H(5,𝔽2)C22semidirect
18. C23×D3×D4C22semidirect
19. C3×#3543C22semidirect
20. C3×#3543C22semidirect
21. C3×#3508C22semidirect
22. C3×#3508C22semidirect
23. C3×#3498C22semidirect
24. C3×#3498C22semidirect
25. C3×#3484C22semidirect
26. C3×#3484C22semidirect
27. C3×#3444C22semidirect
28. C22×C3×#127C22semidirect
29. #87285C22semidirect
30. #87284C22semidirect
31. #87284C22semidirect
32. #87239C22semidirect
33. #87239C22semidirect
34. C22×#938C22semidirect
35. C22×#937C22semidirect
36. #87082C22semidirect
37. #87080C22semidirect
38. #87071C22semidirect
39. #87069C22semidirect
40. #87066C22semidirect
41. #87054C22semidirect
42. #87053C22semidirect
43. #87050C22semidirect
44. #86788C22semidirect
45. #86787C22semidirect
46. #86778C22semidirect
47. #86775C22semidirect
48. #86775C22semidirect
49. #86770C22semidirect
50. #86769C22semidirect
51. #86766C22semidirect
52. #86670C22semidirect
53. #86667C22semidirect
54. #86666C22semidirect
55. #86664C22semidirect
56. #86662C22semidirect
57. #86662C22semidirect
58. D3×#546C22semidirect
59. D3×#546C22semidirect
60. #86648C22semidirect
61. #86640C22semidirect
62. #86623C22semidirect
63. #86623C22semidirect
64. #86622C22semidirect
65. #86621C22semidirect
66. #86621C22semidirect
67. #86620C22semidirect
68. #86620C22semidirect
69. #86620C22semidirect
70. #86620C22semidirect
71. D3×D42C22semidirect
72. D3×D42C22semidirect
73. D3×D42C22semidirect
74. #86617C22semidirect
75. #86615C22semidirect
76. #86612C22semidirect
77. #86492C22semidirect
78. #86491C22semidirect
79. #86490C22semidirect
80. #86488C22semidirect
81. #86487C22semidirect
82. #86337C22semidirect
83. #86336C22semidirect
84. #86334C22semidirect
85. #86333C22semidirect
86. #86333C22semidirect
87. #86332C22semidirect
88. #86331C22semidirect
89. #86331C22semidirect
90. #86330C22semidirect
91. #86330C22semidirect
92. D3×#535C22semidirect
93. #86311C22semidirect
94. #86310C22semidirect
95. #86309C22semidirect
96. #86308C22semidirect
97. #86308C22semidirect
98. D3×#534C22semidirect
99. #86285C22semidirect
100. #86280C22semidirect
101. #86276C22semidirect
102. #86259C22semidirect
103. #86252C22semidirect
104. #86250C22semidirect
105. #86247C22semidirect
106. #86247C22semidirect
107. #86246C22semidirect
108. #86241C22semidirect
109. #86241C22semidirect
110. #86239C22semidirect
111. #86238C22semidirect
112. #86238C22semidirect
113. #86223C22semidirect
114. #86197C22semidirect
115. #86197C22semidirect
116. #86197C22semidirect
117. #86195C22semidirect
118. #86195C22semidirect
119. #86195C22semidirect
120. C2×#5717C22semidirect
121. C2×#5717C22semidirect
122. C2×#5717C22semidirect
123. C2×#5717C22semidirect
124. C2×#5717C22semidirect
125. C2×#5717C22semidirect
126. #86190C22semidirect
127. #86190C22semidirect
128. #86167C22semidirect
129. #86166C22semidirect
130. #86161C22semidirect
131. #86160C22semidirect
132. #86158C22semidirect
133. #86153C22semidirect
134. #86147C22semidirect
135. #86043C22semidirect
136. #86039C22semidirect
137. D3×#525C22semidirect
138. #86024C22semidirect
139. #85919C22semidirect
140. C2×D3×#120C22semidirect
141. #85913C22semidirect
142. #85869C22semidirect
143. #85868C22semidirect
144. #85867C22semidirect
145. D3×#518C22semidirect
146. #85843C22semidirect
147. #85840C22semidirect
148. #41×D12C22semidirect
149. #85838C22semidirect
150. C4×#1009C22semidirect
151. #85680C22semidirect
152. C22×C4×D12C22semidirect
153. #62832D3semidirect
154. C25×D3C23semidirect
155. C2×C3×H(5,𝔽2)C23semidirect
156. C2×C3×H(5,𝔽2)C23semidirect
157. C23×C3×D4C23semidirect
158. C23×C3×D4C23semidirect
159. C23×#67C23semidirect
161. C2×#1009C23semidirect
162. C2×D3×#41C23semidirect
163. C2×D3×#41C23semidirect
164. C2×#1004C23semidirect
165. C2×#1004C23semidirect
166. C2×#1004C23semidirect
167. C2×#1004C23semidirect
169. C22×D3×D4C23semidirect
170. C22×D3×D4C23semidirect
171. C22×D3×D4C23semidirect
172. C22×D3×D4C23semidirect
173. C22×D3×D4C23semidirect
174. C22×D3×D4C23semidirect
175. C22×D3×D4C23semidirect
176. C22×D3×D4C23semidirect
178. C23×C4×D3C23semidirect
179. C3×#560C23semidirect
180. C3×#559C23semidirect
181. C3×#559C23semidirect
182. C3×#550C23semidirect
183. C3×#550C23semidirect
184. C3×#550C23semidirect
185. C3×#546C23semidirect
186. C3×#546C23semidirect
187. C3×#546C23semidirect
188. C3×D42C23semidirect
189. C3×D42C23semidirect
190. C3×D42C23semidirect
191. C3×D42C23semidirect
192. C3×D42C23semidirect
193. C3×#540C23semidirect
194. C3×#540C23semidirect
195. C3×#535C23semidirect
196. C3×#535C23semidirect
197. C3×#535C23semidirect
198. C3×#535C23semidirect
199. C3×#534C23semidirect
200. C3×#534C23semidirect
201. C3×#533C23semidirect
202. C3×#533C23semidirect
203. C3×#532C23semidirect
204. C3×#532C23semidirect
205. C3×#532C23semidirect
206. C3×#532C23semidirect
207. C2×C3×#127C23semidirect
208. C2×C3×#127C23semidirect
209. C2×C3×#127C23semidirect
210. C2×C3×#127C23semidirect
211. C2×C3×#127C23semidirect
212. C3×#529C23semidirect
213. C3×#529C23semidirect
214. C3×#529C23semidirect
215. C3×#525C23semidirect
216. C3×#525C23semidirect
217. C2×C3×#120C23semidirect
218. C3×#518C23semidirect
219. C3×#518C23semidirect
220. C3×C4×#41C23semidirect
221. C3×C4×#41C23semidirect
222. C22×C3×C42C23semidirect
223. C2×#953C23semidirect
224. C22×#217C23semidirect
225. #5834C23semidirect
226. #5833C23semidirect
227. #5833C23semidirect
228. #5831C23semidirect
229. #5830C23semidirect
230. #5830C23semidirect
231. #5829C23semidirect
232. #5829C23semidirect
233. #5829C23semidirect
234. #5829C23semidirect
235. #5828C23semidirect
236. #5828C23semidirect
237. #5828C23semidirect
238. #5827C23semidirect
239. #5806C23semidirect
240. #5806C23semidirect
241. #5806C23semidirect
242. #5806C23semidirect
243. #5806C23semidirect
244. #5805C23semidirect
245. #5805C23semidirect
246. #5805C23semidirect
247. #5804C23semidirect
248. #5804C23semidirect
249. #5804C23semidirect
250. #5804C23semidirect
251. #5804C23semidirect
252. D4×#67C23semidirect
253. D4×#67C23semidirect
254. D4×#67C23semidirect
255. D4×#67C23semidirect
256. D4×#67C23semidirect
257. D4×#67C23semidirect
258. D4×#67C23semidirect
259. D4×#67C23semidirect
260. D4×#67C23semidirect
261. C2×#938C23semidirect
262. C2×#938C23semidirect
263. C2×#938C23semidirect
264. C2×#938C23semidirect
265. C2×#938C23semidirect
266. C2×#938C23semidirect
267. C2×#937C23semidirect
268. C2×#937C23semidirect
269. C2×#937C23semidirect
270. C2×#937C23semidirect
271. C2×#937C23semidirect
272. C2×#937C23semidirect
273. C2×#937C23semidirect
274. #5798C23semidirect
275. #5798C23semidirect
276. #5798C23semidirect
277. #5791C23semidirect
278. #5791C23semidirect
279. C22×(C2×D3)⋊C4C23semidirect
280. C22×C4⋊Dic3C23semidirect
281. #5734C23semidirect
282. #5732C23semidirect
283. #5730C23semidirect
284. #5727C23semidirect
285. #5726C23semidirect
286. #5726C23semidirect
287. #5720C23semidirect
288. #5720C23semidirect
289. #5719C23semidirect
290. #5719C23semidirect
291. #5719C23semidirect
292. #5718C23semidirect
293. #5718C23semidirect
294. #5718C23semidirect
295. #5718C23semidirect
296. #5718C23semidirect
297. #5717C23semidirect
298. #5717C23semidirect
299. #5717C23semidirect
300. #5717C23semidirect
301. #5717C23semidirect
302. #5717C23semidirect
303. #5717C23semidirect
304. #5717C23semidirect
305. #5717C23semidirect
306. #5717C23semidirect
307. #5717C23semidirect
308. #5717C23semidirect
309. #5717C23semidirect
310. #5717C23semidirect
311. #5717C23semidirect
312. #5717C23semidirect
313. #5717C23semidirect
314. #5717C23semidirect
315. #5717C23semidirect
316. #5716C23semidirect
317. #5716C23semidirect
318. #5716C23semidirect
319. #5715C23semidirect
320. #5715C23semidirect
321. #5715C23semidirect
322. #5715C23semidirect
323. D3×#127C23semidirect
324. D3×#127C23semidirect
325. #5713C23semidirect
326. #5713C23semidirect
327. #5709C23semidirect
328. #5707C23semidirect
329. #5705C23semidirect
330. #5704C23semidirect
331. #5695C23semidirect
332. #5695C23semidirect
333. #5694C23semidirect
334. #5692C23semidirect
335. #5690C23semidirect
336. #5683C23semidirect
337. #5682C23semidirect
338. #5681C23semidirect
339. #5680C23semidirect
340. #5679C23semidirect
341. #5678C23semidirect
342. #5678C23semidirect
343. #5677C23semidirect
344. #5677C23semidirect
345. #5676C23semidirect
346. #5676C23semidirect
347. #5676C23semidirect
348. #5676C23semidirect
349. #5676C23semidirect
350. #5674C23semidirect
351. D3×#124C23semidirect
352. #5667C23semidirect
353. #5666C23semidirect
354. #5665C23semidirect
355. #5661C23semidirect
356. #5660C23semidirect
357. #5659C23semidirect
358. #5658C23semidirect
359. #5658C23semidirect
360. #5657C23semidirect
361. #5657C23semidirect
362. #5656C23semidirect
363. #5656C23semidirect
364. #5654C23semidirect
365. #5654C23semidirect
366. #5654C23semidirect
367. #5653C23semidirect
368. #5653C23semidirect
369. #5653C23semidirect
370. D3×#123C23semidirect
371. D3×#123C23semidirect
372. #5644C23semidirect
373. #5642C23semidirect
374. #5637C23semidirect
375. #5635C23semidirect
376. #5634C23semidirect
377. #5630C23semidirect
378. #5630C23semidirect
379. #5627C23semidirect
380. #5627C23semidirect
381. D3×C22⋊Q8C23semidirect
382. D3×C22⋊Q8C23semidirect
383. #5621C23semidirect
384. #5620C23semidirect
385. #5620C23semidirect
386. #5620C23semidirect
387. #5619C23semidirect
388. #5618C23semidirect
389. #5618C23semidirect
390. #5617C23semidirect
391. #5617C23semidirect
392. #5616C23semidirect
393. #5615C23semidirect
394. #5614C23semidirect
395. #5614C23semidirect
396. #5613C23semidirect
397. #5613C23semidirect
398. #5613C23semidirect
399. #5612C23semidirect
400. #5612C23semidirect
401. #5612C23semidirect
402. #5612C23semidirect
403. #5611C23semidirect
404. #5611C23semidirect
405. #5610C23semidirect
406. #5610C23semidirect
407. #5610C23semidirect
408. #5610C23semidirect
409. #5610C23semidirect
410. #5609C23semidirect
411. #5609C23semidirect
412. #5609C23semidirect
413. #5609C23semidirect
414. #5609C23semidirect
415. #5609C23semidirect
416. #5609C23semidirect
417. #5608C23semidirect
418. #5608C23semidirect
419. #5607C23semidirect
420. #5607C23semidirect
421. #5607C23semidirect
422. #5607C23semidirect
423. #5606C23semidirect
424. #5606C23semidirect
425. #5606C23semidirect
426. #5606C23semidirect
427. #5605C23semidirect
428. #5605C23semidirect
429. #5605C23semidirect
430. #5605C23semidirect
431. D3×#121C23semidirect
432. D3×#121C23semidirect
433. D3×#121C23semidirect
434. D3×#121C23semidirect
435. D3×#121C23semidirect
436. D3×#121C23semidirect
437. D3×#121C23semidirect
438. #5595C23semidirect
439. #5594C23semidirect
440. #5593C23semidirect
441. #5593C23semidirect
442. #5592C23semidirect
443. #5592C23semidirect
444. #5591C23semidirect
445. #5591C23semidirect
446. #5591C23semidirect
447. #5591C23semidirect
448. #5591C23semidirect
449. #5590C23semidirect
450. #5590C23semidirect
451. #5590C23semidirect
452. #5590C23semidirect
453. #5590C23semidirect
454. #5589C23semidirect
455. #5589C23semidirect
456. #5589C23semidirect
457. #5589C23semidirect
458. D3×#120C23semidirect
459. D3×#120C23semidirect
460. D3×#120C23semidirect
461. D3×#120C23semidirect
462. D3×#120C23semidirect
463. D3×#120C23semidirect
464. #5587C23semidirect
465. #5586C23semidirect
466. #5585C23semidirect
467. #5584C23semidirect
468. #5582C23semidirect
469. #5581C23semidirect
470. #5580C23semidirect
471. #5580C23semidirect
472. #5579C23semidirect
473. #5579C23semidirect
474. #5577C23semidirect
475. #5576C23semidirect
476. Q8×D12C23semidirect
477. #5574C23semidirect
478. C4×#239C23semidirect
479. #5565C23semidirect
480. #5565C23semidirect
481. #5563C23semidirect
482. #5563C23semidirect
483. #5562C23semidirect
484. #5562C23semidirect
485. #5561C23semidirect
486. #5560C23semidirect
487. #5560C23semidirect
488. #5558C23semidirect
489. #5558C23semidirect
490. #5558C23semidirect
491. #5557C23semidirect
492. #5556C23semidirect
493. #5556C23semidirect
494. #5555C23semidirect
495. #5555C23semidirect
496. #5554C23semidirect
497. #5554C23semidirect
498. #5554C23semidirect
499. #5554C23semidirect
500. #5551C23semidirect
501. #5551C23semidirect
502. #5550C23semidirect
503. #5550C23semidirect
504. #5550C23semidirect
505. #5550C23semidirect
506. D4×D12C23semidirect
507. D4×D12C23semidirect
508. D4×D12C23semidirect
509. D4×D12C23semidirect
510. D4×D12C23semidirect
511. #5548C23semidirect
512. #5548C23semidirect
513. #5547C23semidirect
514. #5547C23semidirect
515. #5547C23semidirect
516. #5547C23semidirect
517. #5545C23semidirect
518. #5545C23semidirect
519. #5545C23semidirect
520. #5545C23semidirect
521. C4×D3×D4C23semidirect
522. C4×D3×D4C23semidirect
523. C4×D3×D4C23semidirect
524. C4×D3×D4C23semidirect
525. C4×D3×D4C23semidirect
526. #5543C23semidirect
527. #5541C23semidirect
528. #5535C23semidirect
529. #5534C23semidirect
530. #5530C23semidirect
531. #5528C23semidirect
532. #5527C23semidirect
533. #5527C23semidirect
534. #5525C23semidirect
535. #5524C23semidirect
536. #5524C23semidirect
537. #5523C23semidirect
538. #5523C23semidirect
540. #5521C23semidirect
541. D3×#117C23semidirect
542. #5519C23semidirect
543. #5495C23semidirect
544. #5493C23semidirect
545. #5490C23semidirect
546. #5490C23semidirect
547. C2×#882C23semidirect
548. C2×#882C23semidirect
549. #5486C23semidirect
550. #5486C23semidirect
551. C2×D3×C22⋊C4C23semidirect
552. C2×D3×C22⋊C4C23semidirect
553. #5483C23semidirect
554. #5479C23semidirect
555. #5479C23semidirect
556. #5479C23semidirect
557. #5479C23semidirect
558. #5477C23semidirect
559. #5477C23semidirect
560. #5477C23semidirect
561. C4×#235C23semidirect
562. C4×#235C23semidirect
563. C4×#235C23semidirect
565. C2×C4×D12C23semidirect
566. C2×C4×D12C23semidirect
567. C2×C4×D12C23semidirect
568. C2×C4×D12C23semidirect
569. C2×C4×D12C23semidirect
570. C2×C4×D12C23semidirect
571. C2×C4×D12C23semidirect
572. #5470C23semidirect
573. #5470C23semidirect
574. #3543C2×D3semidirect
575. #3543C2×D3semidirect
576. #3508C2×D3semidirect
577. #3508C2×D3semidirect
578. #3498C2×D3semidirect
579. #3498C2×D3semidirect
580. #3484C2×D3semidirect
581. #3484C2×D3semidirect
582. #3444C2×D3semidirect
583. C22×#127C2×D3semidirect
589. C24×D3C24semidirect
592. C2×C3×#41C24semidirect
593. C2×C3×#41C24semidirect
603. C22×C3×D4C24semidirect
604. C22×C3×D4C24semidirect
613. C22×#67C24semidirect
614. C22×#67C24semidirect
615. C22×#67C24semidirect
618. C2×#239C24semidirect
619. C2×D3×Q8C24semidirect
621. C2×#237C24semidirect
622. C2×#237C24semidirect
623. C2×#237C24semidirect
624. C2×#237C24semidirect
635. C2×D3×D4C24semidirect
636. C2×D3×D4C24semidirect
637. C2×D3×D4C24semidirect
638. C2×D3×D4C24semidirect
639. C2×D3×D4C24semidirect
640. C2×D3×D4C24semidirect
641. C2×D3×D4C24semidirect
645. C2×#235C24semidirect
646. C2×#235C24semidirect
653. C22×D12C24semidirect
654. C22×D12C24semidirect
660. C22×C4×D3C24semidirect
661. C22×C4×D3C24semidirect
662. C22×C4×D3C24semidirect
663. C3×C4⋊Q8C24semidirect
664. C3×C4⋊Q8C24semidirect
671. C3×#127C24semidirect
672. C3×#127C24semidirect
673. C3×#127C24semidirect
674. C3×#126C24semidirect
675. C3×#125C24semidirect
676. C3×#125C24semidirect
677. C3×#124C24semidirect
678. C3×#124C24semidirect
679. C3×#124C24semidirect
680. C3×#124C24semidirect
683. C3×#123C24semidirect
684. C3×#123C24semidirect
691. C3×#121C24semidirect
692. C3×#121C24semidirect
693. C3×#121C24semidirect
694. C3×#121C24semidirect
695. C3×#121C24semidirect
696. C3×#121C24semidirect
700. C3×#120C24semidirect
701. C3×#120C24semidirect
702. C3×C4×Q8C24semidirect
703. C3×C4×Q8C24semidirect
704. C3×C4×Q8C24semidirect
708. C3×C4×D4C24semidirect
709. C3×C4×D4C24semidirect
710. C3×C4×D4C24semidirect
711. C3×C4×D4C24semidirect
712. C3×C4×D4C24semidirect
713. C3×C4×D4C24semidirect
716. C3×#117C24semidirect
717. C3×#117C24semidirect
724. C2×C3×C42C24semidirect
728. #953C24semidirect
729. #953C24semidirect
734. C2×#217C24semidirect
736. #947C24semidirect
737. #946C24semidirect
738. #946C24semidirect
739. #946C24semidirect
740. #946C24semidirect
741. Q8×Dic3C24semidirect
743. #940C24semidirect
744. #940C24semidirect
745. #940C24semidirect
746. #940C24semidirect
749. #939C24semidirect
750. #939C24semidirect
751. #939C24semidirect
752. #939C24semidirect
753. #939C24semidirect
754. #939C24semidirect
755. #939C24semidirect
756. #939C24semidirect
757. #939C24semidirect
764. #938C24semidirect
765. #938C24semidirect
766. #938C24semidirect
767. #938C24semidirect
768. #938C24semidirect
769. #938C24semidirect
770. #938C24semidirect
771. #938C24semidirect
772. #938C24semidirect
782. #937C24semidirect
783. #937C24semidirect
784. #937C24semidirect
785. #937C24semidirect
786. #937C24semidirect
787. #937C24semidirect
788. #937C24semidirect
789. #937C24semidirect
790. #937C24semidirect
791. #937C24semidirect
792. #936C24semidirect
793. #936C24semidirect
794. #936C24semidirect
796. #935C24semidirect
797. #935C24semidirect
798. #935C24semidirect
799. #935C24semidirect
802. D4×Dic3C24semidirect
803. D4×Dic3C24semidirect
804. D4×Dic3C24semidirect
805. D4×Dic3C24semidirect
806. D4×Dic3C24semidirect
812. #930C24semidirect
813. #930C24semidirect
814. #930C24semidirect
815. #930C24semidirect
818. #929C24semidirect
819. #929C24semidirect
820. #929C24semidirect
824. C4×#67C24semidirect
825. C4×#67C24semidirect
826. C4×#67C24semidirect
827. C4×#67C24semidirect
828. C4×#67C24semidirect
829. C4×#67C24semidirect
835. C2×(C2×D3)⋊C4C24semidirect
836. C2×(C2×D3)⋊C4C24semidirect
837. C2×(C2×D3)⋊C4C24semidirect
838. C2×(C2×D3)⋊C4C24semidirect
841. #926C24semidirect
842. #926C24semidirect
847. C2×C4⋊Dic3C24semidirect
851. #924C24semidirect
852. #924C24semidirect
853. #898C24semidirect
854. #898C24semidirect
855. #898C24semidirect
856. #898C24semidirect
857. #897C24semidirect
858. #897C24semidirect
859. #897C24semidirect
860. #897C24semidirect
861. #896C24semidirect
862. #896C24semidirect
863. #896C24semidirect
864. #896C24semidirect
869. #895C24semidirect
870. #895C24semidirect
871. #895C24semidirect
874. #894C24semidirect
875. #894C24semidirect
876. #894C24semidirect
877. #894C24semidirect
878. #894C24semidirect
881. #893C24semidirect
882. #893C24semidirect
883. #893C24semidirect
884. #892C24semidirect
885. #892C24semidirect
886. #892C24semidirect
887. #892C24semidirect
888. D3×C4⋊C4C24semidirect
889. D3×C4⋊C4C24semidirect
890. D3×C4⋊C4C24semidirect
891. D3×C4⋊C4C24semidirect
892. D3×C4⋊C4C24semidirect
893. #890C24semidirect
894. #890C24semidirect
895. #889C24semidirect
896. #888C24semidirect
898. #886C24semidirect
899. #886C24semidirect
900. #886C24semidirect
901. #885C24semidirect
902. #885C24semidirect
903. #885C24semidirect
904. #885C24semidirect
905. #885C24semidirect
908. #884C24semidirect
909. #884C24semidirect
910. #884C24semidirect
911. #884C24semidirect
912. #884C24semidirect
913. #884C24semidirect
914. #884C24semidirect
915. #883C24semidirect
916. #883C24semidirect
917. #883C24semidirect
918. #883C24semidirect
919. #883C24semidirect
920. #883C24semidirect
921. #883C24semidirect
927. #882C24semidirect
928. #882C24semidirect
929. #882C24semidirect
930. #882C24semidirect
931. #882C24semidirect
932. #882C24semidirect
935. #67⋊C4C24semidirect
936. #67⋊C4C24semidirect
937. #67⋊C4C24semidirect
938. #67⋊C4C24semidirect
939. #67⋊C4C24semidirect
943. D3×C22⋊C4C24semidirect
944. D3×C22⋊C4C24semidirect
945. D3×C22⋊C4C24semidirect
946. D3×C22⋊C4C24semidirect
947. D3×C22⋊C4C24semidirect
948. D3×C22⋊C4C24semidirect
949. D3×C22⋊C4C24semidirect
950. #879C24semidirect
951. #879C24semidirect
952. #879C24semidirect
955. #878C24semidirect
956. #878C24semidirect
958. #877C24semidirect
959. #876C24semidirect
960. #876C24semidirect
962. #875C24semidirect
963. #875C24semidirect
964. #875C24semidirect
966. #874C24semidirect
981. C4×D12C24semidirect
982. C4×D12C24semidirect
983. C4×D12C24semidirect
984. C4×D12C24semidirect
985. C4×D12C24semidirect
986. C4×D12C24semidirect
987. C4×D12C24semidirect
988. #872C24semidirect
989. #872C24semidirect
990. #872C24semidirect
991. #872C24semidirect
992. C42×D3C24semidirect
993. C42×D3C24semidirect
994. #870C24semidirect
995. #870C24semidirect
996. #870C24semidirect
997. #869C24semidirect
998. #869C24semidirect
999. #869C24semidirect
1000. C4×Dic6C24semidirect
1001. C4×Dic6C24semidirect
1002. C4×Dic6C24semidirect
1003. C4×Dic6C24semidirect
1004. C2×H(5,𝔽2)C22×D3semidirect
1005. C2×H(5,𝔽2)C22×D3semidirect
1006. C23×D4C22×D3semidirect
1007. C23×D4C22×D3semidirect
1008. #560C22×D3semidirect
1009. #559C22×D3semidirect
1010. #559C22×D3semidirect
1011. #550C22×D3semidirect
1012. #550C22×D3semidirect
1013. #550C22×D3semidirect
1014. #546C22×D3semidirect
1015. #546C22×D3semidirect
1016. #546C22×D3semidirect
1017. D42C22×D3semidirect
1018. D42C22×D3semidirect
1019. D42C22×D3semidirect
1020. D42C22×D3semidirect
1021. D42C22×D3semidirect
1022. #540C22×D3semidirect
1023. #540C22×D3semidirect
1024. #535C22×D3semidirect
1025. #535C22×D3semidirect
1026. #535C22×D3semidirect
1027. #535C22×D3semidirect
1028. #534C22×D3semidirect
1029. #534C22×D3semidirect
1030. #533C22×D3semidirect
1031. #533C22×D3semidirect
1032. #532C22×D3semidirect
1033. #532C22×D3semidirect
1034. #532C22×D3semidirect
1035. #532C22×D3semidirect
1036. C2×#127C22×D3semidirect
1037. C2×#127C22×D3semidirect
1038. C2×#127C22×D3semidirect
1039. C2×#127C22×D3semidirect
1040. C2×#127C22×D3semidirect
1041. #529C22×D3semidirect
1042. #529C22×D3semidirect
1043. #529C22×D3semidirect
1044. #525C22×D3semidirect
1045. #525C22×D3semidirect
1046. C2×#120C22×D3semidirect
1047. #518C22×D3semidirect
1048. #518C22×D3semidirect
1049. C4×#41C22×D3semidirect
1050. C4×#41C22×D3semidirect
1051. C22×C42C22×D3semidirect
1104. C2×D12H(5,𝔽2)semidirect
1192. C2×#41C23×D3semidirect
1193. C2×#41C23×D3semidirect
1203. C22×D4C23×D3semidirect
1204. C22×D4C23×D3semidirect
1207. C4⋊Q8C23×D3semidirect
1208. C4⋊Q8C23×D3semidirect
1215. #127C23×D3semidirect
1216. #127C23×D3semidirect
1217. #127C23×D3semidirect
1218. #126C23×D3semidirect
1219. #125C23×D3semidirect
1220. #125C23×D3semidirect
1221. #124C23×D3semidirect
1222. #124C23×D3semidirect
1223. #124C23×D3semidirect
1224. #124C23×D3semidirect
1227. #123C23×D3semidirect
1228. #123C23×D3semidirect
1235. #121C23×D3semidirect
1236. #121C23×D3semidirect
1237. #121C23×D3semidirect
1238. #121C23×D3semidirect
1239. #121C23×D3semidirect
1240. #121C23×D3semidirect
1244. #120C23×D3semidirect
1245. #120C23×D3semidirect
1246. C4×Q8C23×D3semidirect
1247. C4×Q8C23×D3semidirect
1248. C4×Q8C23×D3semidirect
1252. C4×D4C23×D3semidirect
1253. C4×D4C23×D3semidirect
1254. C4×D4C23×D3semidirect
1255. C4×D4C23×D3semidirect
1256. C4×D4C23×D3semidirect
1257. C4×D4C23×D3semidirect
1260. #117C23×D3semidirect
1261. #117C23×D3semidirect
1268. C2×C42C23×D3semidirect
1273. C22×D3C2×H(5,𝔽2)semidirect
1277. C2×C3×C4C2×H(5,𝔽2)semidirect
1287. D12C2×H(5,𝔽2)semidirect
1345. C2×C4D3×H(5,𝔽2)semidirect
1358. C3#10586472semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#117077172
#117077122
#117076932
#117076922
#117073132
#117072912
#117055242
#117055182
#117050662
#117040692
#117038072
#117038032
#117032102
D3×#34842
C22×#57172
C3×#628322
#105864723