Finite Group Databasebeta

← #11680655

Subgroups — #11680655

Order 768.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86037C211yesmaximal, characteristic, complemented
2#85971C211yesmaximal, characteristic, complemented
3C3×#3196C211yesmaximal, characteristic, complemented
4#82929C211yesmaximal, characteristic, complemented
5C2×#5047C211yesmaximal, characteristic, complemented
6#81541C211yesmaximal, characteristic, complemented
7#81540C211yesmaximal, characteristic, complemented
8#81494C211yesmaximal, characteristic, complemented
9#81492C211yesmaximal, characteristic, complemented
10#81491C211yesmaximal, characteristic, complemented
11#81485C211yesmaximal, characteristic, complemented
12#81345C211yesmaximal, characteristic, complemented
13#81343C211yesmaximal, characteristic, complemented
14#80922C211yesmaximal, characteristic, complemented
15#80921C211yesmaximal, characteristic, complemented
16#80918C211yesmaximal, characteristic, complemented
17#80916C211yesmaximal, characteristic, complemented
18#80839C211yesmaximal, characteristic, complemented
19#80836C211yesmaximal, characteristic, complemented
20#80827C211yesmaximal, characteristic, complemented
21#80824C211yesmaximal, characteristic, complemented
22#80227C211yesmaximal, characteristic, complemented
23#80226C211yesmaximal, characteristic, complemented
24#80223C211yesmaximal, characteristic, complemented
25#80221C211yesmaximal, characteristic, complemented
26#80208C211yesmaximal, characteristic, complemented
27#80207C211yesmaximal, characteristic, complemented
28#80067C211yesmaximal, characteristic, complemented
29#80060C211yesmaximal, characteristic, complemented
30#78639C211yesmaximal, characteristic, complemented
31#78633C211yesmaximal, characteristic, complemented
32#61606—31nomaximal, Sylow
33C2×D3×#41C2211yescharacteristic, complemented
34C22×#235C2211yescharacteristic
35C3×#525C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37#5832C2211yescharacteristic, complemented
38#5817C2211yescharacteristic
39#5817C2211yescharacteristic, complemented
40C22×#216C2211yescharacteristic, complemented
41C22×#215C2211yescharacteristic, complemented
42C2×#930C2211yescharacteristic, complemented
43C2×C4×#67C2211yescharacteristic
44C2×#919C2211yescharacteristic, complemented
45C2×#918C2211yescharacteristic, complemented
46C2×#916C2211yescharacteristic, complemented
47C2×#914C2211yescharacteristic, complemented
48C2×#908C2211yescharacteristic, complemented
49C2×#908C2211yescharacteristic, complemented
50#5655—21no—
51#5654—21no—
52#5645—21no—
53#5644—21no—
54#5642C2211yescharacteristic, complemented
55#5642C2211yescharacteristic, complemented
56#5637—21no—
57#5637—21no—
58#5633C2211yescharacteristic
59#5632C2211yescharacteristic, complemented
60#5631C2211yescharacteristic
61#5630C2211yescharacteristic, complemented
62#5630C2211yescharacteristic, complemented
63#5630C2211yescharacteristic, complemented
64#5627C2211yescharacteristic, complemented
65#5627C2211yescharacteristic, complemented
66#5624C2211yescharacteristic, complemented
67#5624C2211yescharacteristic, complemented
68#5612C2211yescharacteristic
69#5609C2211yescharacteristic, complemented
70#5599C2211yescharacteristic
71#5598C2211yescharacteristic, complemented
72#5591—21no—
73#5590—21no—
74#5548—21no—
75#5547—21no—
76#5547—21no—
77C4×D3×D4—21no—
78#5524C2211yescharacteristic, complemented
79#5522C2211yescharacteristic, complemented
80#5514—21no—
81#5514—21no—
82#5514C2211yescharacteristic
83#5514C2211yescharacteristic, complemented
84#5493—21no—
85#5486—21no—
86C3×#485C2211yescharacteristic, complemented
87C3×#485C2211yescharacteristic, complemented
88C3×#484C2211yescharacteristic, complemented
89C3×#481C2211yescharacteristic, complemented
90C3×#470C2211yescharacteristic, complemented
91C3×#470C2211yescharacteristic, complemented
92C3×#468C2211yescharacteristic, complemented
93C3×#468C2211yescharacteristic, complemented
94C3×#452C2211yescharacteristic, complemented
95C3×#452C2211yescharacteristic, complemented
96C3×#451C2211yescharacteristic, complemented
97C3×#448C2211yescharacteristic, complemented
98C3×#407C2211yescharacteristic, complemented
99#5238C2211yescharacteristic, complemented
100#5238C2211yescharacteristic, complemented
101C2×#830C2211yescharacteristic, complemented
102#5191C2211yescharacteristic, complemented
103#5190C2211yescharacteristic, complemented
104#5187C2211yescharacteristic, complemented
105#5186C2211yescharacteristic, complemented
106#5185C2211yescharacteristic, complemented
107#5182C2211yescharacteristic, complemented
108#5176C2211yescharacteristic, complemented
109#5173C2211yescharacteristic, complemented
110#5169C2211yescharacteristic, complemented
111#5168C2211yescharacteristic, complemented
112#5166C2211yescharacteristic, complemented
113#5163C2211yescharacteristic, complemented
114#5133C2211yescharacteristic, complemented
115#5133C2211yescharacteristic, complemented
116#5128C2211yescharacteristic, complemented
117#5128C2211yescharacteristic, complemented
118#5127C2211yescharacteristic, complemented
119#5127C2211yescharacteristic, complemented
120#5048C2211yescharacteristic, complemented
121#5048C2211yescharacteristic, complemented
122#5047C2211yescharacteristic, complemented
123#5047C2211yescharacteristic, complemented
124#5047C2211yescharacteristic, complemented
125#5047C2211yescharacteristic, complemented
126#5047C2211yescharacteristic, complemented
127#5047C2211yescharacteristic, complemented
128#5047C2211yescharacteristic, complemented
129#5047C2211yescharacteristic, complemented
130#5046C2211yescharacteristic, complemented
131#5044C2211yescharacteristic, complemented
132#5038C2211yescharacteristic, complemented
133#5038C2211yescharacteristic, complemented
134#5036C2211yescharacteristic, complemented
135#5034C2211yescharacteristic, complemented
136#5003C2211yescharacteristic, complemented
137#5003C2211yescharacteristic, complemented
138C2×#810C2211yescharacteristic, complemented
139C2×#809C2211yescharacteristic, complemented
140#4891C2211yescharacteristic, complemented
141#4889C2211yescharacteristic, complemented
142#4888C2211yescharacteristic, complemented
143#4886C2211yescharacteristic, complemented
144#4885C2211yescharacteristic, complemented
145#4883C2211yescharacteristic, complemented
146#4877C2211yescharacteristic, complemented
147#4872C2211yescharacteristic, complemented
148#4871C2211yescharacteristic, complemented
149#4869C2211yescharacteristic, complemented
150#4868C2211yescharacteristic, complemented
151#4866C2211yescharacteristic, complemented
152#4865C2211yescharacteristic, complemented
153#4864C2211yescharacteristic, complemented
154#4857C2211yescharacteristic, complemented
155#4852C2211yescharacteristic, complemented
156#4819C2211yescharacteristic, complemented
157#4819C2211yescharacteristic, complemented
158#4819C2211yescharacteristic, complemented
159#4818C2211yescharacteristic, complemented
160#4817C2211yescharacteristic, complemented
161#4816C2211yescharacteristic, complemented
162#4813C2211yescharacteristic, complemented
163#4812C2211yescharacteristic, complemented
164#4810C2211yescharacteristic, complemented
165#4810C2211yescharacteristic, complemented
166#4810C2211yescharacteristic, complemented
167#4808C2211yescharacteristic, complemented
168#4808C2211yescharacteristic, complemented
169#4807C2211yescharacteristic, complemented
170#4806C2211yescharacteristic, complemented
171#4804C2211yescharacteristic, complemented
172#4802C2211yescharacteristic, complemented
173#4800C2211yescharacteristic, complemented
174#4798C2211yescharacteristic, complemented
175#4798C2211yescharacteristic, complemented
176#4797C2211yescharacteristic, complemented
177#4790C2211yescharacteristic, complemented
178#4789C2211yescharacteristic, complemented
179#4788C2211yescharacteristic, complemented
180#4787C2211yescharacteristic, complemented
181#4786C2211yescharacteristic, complemented
182#4781C2211yescharacteristic, complemented
183#4773C2211yescharacteristic, complemented
184#4772C2211yescharacteristic, complemented
185#4770C2211yescharacteristic, complemented
186#4768C2211yescharacteristic, complemented
187#4764C2211yescharacteristic, complemented
188#4738C2211yescharacteristic, complemented
189#4738C2211yescharacteristic, complemented
190#4734C2211yescharacteristic
191#4734C2211yescharacteristic
192#4734C2211yescharacteristic, complemented
193#4734C2211yescharacteristic, complemented
194#4732C2211yescharacteristic, complemented
195#4732C2211yescharacteristic, complemented
196#4730C2211yescharacteristic, complemented
197#4730C2211yescharacteristic, complemented
198#4726C2211yescharacteristic, complemented
199#67⋊C8C2211yescharacteristic, complemented
200#67⋊C8C2211yescharacteristic, complemented
201D3×C22⋊C8C2211yescharacteristic, complemented
202#4719C2211yescharacteristic, complemented
203#4718C2211yescharacteristic, complemented
204#3505—31no—
205D4×#41—31no—
206#3327—31no—
207#3323—31no—
208#3320—31no—
209#3318—31no—
210#3317—31no—
211#3315—31no—
212#3301—31no—
213#3297—31no—
214#3285—31no—
215#3282—31no—
216#3275—31no—
217#3273—31no—
218#3270—31no—
219#3268—31no—
220#3267—31no—
221#3265—31no—
222#3219—31no—
223#3212—31no—
224#3197—31no—
225#3196D311yescharacteristic, complemented
226#3191—31no—
227#3188—31no—
228#3111—31no—
229#3102—31no—
230#3006—31no—
231#3005—31no—
232#3002—31no—
233C2×#452—31no—
234#2974—31no—
235C2×C3×#41C2311yescharacteristic
236C22×C3×Q8C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C22×#67—21no—
239C22×#67—21no—
240C22×#67D411yescharacteristic
241D3×#41—42no—
242D3×#41—42no—
243C2×#239C2311yescharacteristic
244C2×#239C2311yescharacteristic
245C2×#239C2311yescharacteristic
246C2×D3×Q8C2311yescharacteristic
247C2×#237—21no—
248C2×#237C2311yescharacteristic
249C2×D3×D4—21no—
250C2×D3×D4—21no—
251C2×D3×D4C2311yescharacteristic
252C2×#235—21no—
253C2×#235—21no—
254C2×#235—21no—
255C2×#235—42no—
256C2×#235—42no—
257C2×#235C2311yescharacteristic
258C2×#235C2311yescharacteristic
259C2×#235C2311yescharacteristic
260C2×#235C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×C4×D3—21no—
264C22×C4×D3—21no—
265C22×C4×D3C2311yescharacteristic
266C22×Dic6C2311yescharacteristic
267C2×C3×Q16C2311yescharacteristic
268C2×C3×Q16C2311yescharacteristic
269C2×C3×SD16C2311yescharacteristic
270C2×C3×SD16C2311yescharacteristic
271C2×C3×M16C2311yescharacteristic
272C2×C3×M16C2311yescharacteristic
273C3×#123—21no—
274C3×C22⋊Q8—21no—
275C3×C22⋊Q8—21no—
276C3×C22⋊Q8C2311yescharacteristic
277C3×C22⋊Q8C2311yescharacteristic
278C3×C22⋊Q8C2311yescharacteristic
279C3×C22⋊Q8C2311yescharacteristic
280C3×C22⋊Q8C2311yescharacteristic
281C3×C22⋊Q8C2311yescharacteristic
282C3×#121C2311yescharacteristic
283C3×#121C2311yescharacteristic
284C3×#120—21no—
285C3×C4×D4—21no—
286C3×C4×D4—21no—
287C3×#117C2311yescharacteristic
288C2×C3×C4⋊C4—21no—
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4—21no—
291C2×#217D411yescharacteristic
292#947—21no—
293#947—21no—
294#947C2311yescharacteristic
295#947C2311yescharacteristic
296#947C2311yescharacteristic
297#946—21no—
298#946—21no—
299#946C2311yescharacteristic
300#946C2311yescharacteristic
301Q8×Dic3C2311yescharacteristic
302Q8×Dic3C2311yescharacteristic
303#944C2311yescharacteristic
304C2×#216—42no—
305C2×#216C2311yescharacteristic
306C2×#216C2311yescharacteristic
307C2×#216C2311yescharacteristic
308C2×#216C2311yescharacteristic
309C2×#215—42no—
310C2×#215C2311yescharacteristic
311C2×#215C2311yescharacteristic
312C2×#215C2311yescharacteristic
313C2×#215C2311yescharacteristic
314C2×#215C2311yescharacteristic
315C2×#215C2311yescharacteristic
316#940—21no—
317#940C2311yescharacteristic
318#939—21no—
319#939—21no—
320#939—21no—
321#939—21no—
322#938—21no—
323#937—21no—
324#937—21no—
325#936C2311yescharacteristic
326D4×Dic3—21no—
327C2×#213C2311yescharacteristic
328C2×#213C2311yescharacteristic
329#930—21no—
330#930—21no—
331#930—21no—
332#930—21no—
333#930—21no—
334#930—21no—
335#930C2311yescharacteristic
336#930C2311yescharacteristic
337#930C2311yescharacteristic
338#930C2311yescharacteristic
339C4×#67—21no—
340C4×#67—21no—
341C4×#67—21no—
342C4×#67—21no—
343C4×#67—21no—
344C4×#67—21no—
345C4×#67D411yescharacteristic
346C4×#67D411yescharacteristic
347C4×#67D411yescharacteristic
348C4×#67D411yescharacteristic
349C4×#67C2311yescharacteristic
350C4×#67C2311yescharacteristic
351C4×#67C2311yescharacteristic
352C4×#67C2311yescharacteristic
353C2×(C2×D3)⋊C4—21no—
354C2×(C2×D3)⋊C4D411yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×Dic3⋊C4D411yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C22×C3⋊C8C2311yescharacteristic
359C22×C3⋊C8C2311yescharacteristic
360#919—42no—
361#918—42no—
362#916—42no—
363#914—42no—
364#908—42no—
365#908—42no—
366C2×D24C2311yescharacteristic
367C2×D24C2311yescharacteristic
368C2×D24C2311yescharacteristic
369C2×D24C2311yescharacteristic
370C2×#204C2311yescharacteristic
371C2×#204C2311yescharacteristic
372C2×#204C2311yescharacteristic
373C2×#204C2311yescharacteristic
374C2×ΓL(1,𝔽25)C2311yescharacteristic
375C2×ΓL(1,𝔽25)C2311yescharacteristic
376C2×D3×C8C2311yescharacteristic
377C2×D3×C8C2311yescharacteristic
378#898—21no—
379#898—21no—
380#898—21no—
381#898—21no—
382#898—21no—
383#898—21no—
384#897C2311yescharacteristic
385#897C2311yescharacteristic
386#896—21no—
387#896—21no—
388#895—21no—
389#895—21no—
390#895—21no—
391#895C2311yescharacteristic
392#895C2311yescharacteristic
393#895C2311yescharacteristic
394#895C2311yescharacteristic
395#894—21no—
396#894—21no—
397#894—21no—
398#894—21no—
399#894—21no—
400#894—21no—
401#894—21no—
402#894—21no—
403#893—21no—
404#893—21no—
405#893—21no—
406#893C2311yescharacteristic
407#893C2311yescharacteristic
408#893C2311yescharacteristic
409#893C2311yescharacteristic
410#892—21no—
411#892—21no—
412#892C2311yescharacteristic
413#892C2311yescharacteristic
414D3×C4⋊C4—21no—
415#890—21no—
416#890—21no—
417#890C2311yescharacteristic
418#890C2311yescharacteristic
419#888—21no—
420#887C2311yescharacteristic
421#887C2311yescharacteristic
422#886—21no—
423#886—21no—
424#886—21no—
425#886—21no—
426#886—21no—
427#885—21no—
428#885—21no—
429#884—21no—
430#884—21no—
431#884—21no—
432#884—21no—
433#883—21no—
434#883—21no—
435#882—21no—
436#882—21no—
437#882—21no—
438#882—21no—
439#882—21no—
440#882—21no—
441#882—21no—
442#67⋊C4—21no—
443#67⋊C4—21no—
444#67⋊C4—21no—
445#67⋊C4—21no—
446#67⋊C4—21no—
447#67⋊C4—21no—
448#67⋊C4—21no—
449#67⋊C4—21no—
450D3×C22⋊C4—21no—
451D3×C22⋊C4—21no—
452D3×C22⋊C4—21no—
453D3×C22⋊C4—21no—
454#878—21no—
455#878—21no—
456#877—21no—
457#877—21no—
458C4×D12—21no—
459C4×D12—21no—
460#872—21no—
461C42×D3—21no—
462C3×#107C2311yescharacteristic
463C3×#107C2311yescharacteristic
464C3×#106C2311yescharacteristic
465C3×#106C2311yescharacteristic
466C3×#103C2311yescharacteristic
467C3×#103C2311yescharacteristic
468C3×#103C2311yescharacteristic
469C3×#103C2311yescharacteristic
470C3×#103C2311yescharacteristic
471C3×#103C2311yescharacteristic
472C3×#102C2311yescharacteristic
473C3×#102C2311yescharacteristic
474C3×C22⋊C8C2311yescharacteristic
475C3×C22⋊C8C2311yescharacteristic
476C3×C22⋊C8C2311yescharacteristic
477C3×C22⋊C8C2311yescharacteristic
478#835C2311yescharacteristic
479#835C2311yescharacteristic
480#832C2311yescharacteristic
481#832C2311yescharacteristic
482#830C2311yescharacteristic
483#830C2311yescharacteristic
484#830C2311yescharacteristic
485#830C2311yescharacteristic
486#821C2311yescharacteristic
487#821C2311yescharacteristic
488#821C2311yescharacteristic
489#821C2311yescharacteristic
490(C2×D3)⋊C8C2311yescharacteristic
491(C2×D3)⋊C8C2311yescharacteristic
492(C2×D3)⋊C8C2311yescharacteristic
493(C2×D3)⋊C8C2311yescharacteristic
494#816C2311yescharacteristic
495#816C2311yescharacteristic
496#816C2311yescharacteristic
497#816C2311yescharacteristic
498#815C2311yescharacteristic
499#815C2311yescharacteristic
500Dic3⋊C8C2311yescharacteristic
501Dic3⋊C8C2311yescharacteristic
502Dic3⋊C8C2311yescharacteristic
503Dic3⋊C8C2311yescharacteristic
504C8×Dic3C2311yescharacteristic
505C8×Dic3C2311yescharacteristic
506#810C2311yescharacteristic
507#810C2311yescharacteristic
508#810C2311yescharacteristic
509#810C2311yescharacteristic
510#809C2311yescharacteristic
511#809C2311yescharacteristic
512#809C2311yescharacteristic
513#809C2311yescharacteristic
514#809C2311yescharacteristic
515#809C2311yescharacteristic
516#809C2311yescharacteristic
517#809C2311yescharacteristic
518#808C2311yescharacteristic
519#808C2311yescharacteristic
520#807C2311yescharacteristic
521#807C2311yescharacteristic
522C22×#41—31no—
523C22×#41—31no—
524C2×#137—31no—
525C2×AGL(1,ℤ/8)—31no—
526C2×AGL(1,ℤ/8)—31no—
527C2×AGL(1,ℤ/8)—31no—
528C2×#135—31no—
529C2×#135—31no—
530C22×Q16—31no—
531C22×SD16—31no—
532#553—31no—
533#553—31no—
534#553—61no—
535#553—61no—
536#552—31no—
537#552—31no—
538#551—61no—
539#551—61no—
540#550—31no—
541D4×Q8—31no—
542#548—31no—
543#548—31no—
544#548—31no—
545#548—31no—
546#547—31no—
547#547—61no—
548#546—31no—
549#546—31no—
550#546—31no—
551#546—31no—
552#546—61no—
553#546—61no—
554D42—31no—
555D42—61no—
556#539—61no—
557#538—61no—
558#534—61no—
559#532—31no—
560#532—61no—
561#529—31no—
562#529—31no—
563#525—31no—
564#525—31no—
565#525—31no—
566#525—61no—
567#525—61no—
568#525C2×D311yescharacteristic
569C2×C22⋊Q8C2×D311yescharacteristic, complemented
570C2×#121—31no—
571#518—61no—
572C4×#41—31no—
573C2×C4×D4—31no—
574C2×C4×D4—61no—
575#497—31no—
576#496—31no—
577#495—31no—
578#495—31no—
579#491—31no—
580#490—31no—
581#488—31no—
582#488—31no—
583#485—31no—
584#485—31no—
585#485C2×D311yescharacteristic, complemented
586#485C2×D311yescharacteristic, complemented
587#484—31no—
588#484C2×D311yescharacteristic, complemented
589#482—31no—
590#482—31no—
591#482—31no—
592#482—31no—
593#481—31no—
594#481C2×D311yescharacteristic, complemented
595#479—31no—
596#479—31no—
597#478—31no—
598#478—31no—
599#470—31no—
600#470C2×D311yescharacteristic, complemented
601#470C2×D311yescharacteristic, complemented
602#469—31no—
603#468—31no—
604#468—31no—
605#468C2×D311yescharacteristic, complemented
606#468C2×D311yescharacteristic, complemented
607#467—31no—
608#466—31no—
609#466—31no—
610#466—31no—
611#465—31no—
612#465—31no—
613#465—31no—
614#465—31no—
615#464—31no—
616#464—31no—
617#464—31no—
618#464—31no—
619#463—31no—
620#463—31no—
621#463—31no—
622#463—31no—
623#462—31no—
624#461—31no—
625#460—31no—
626#459—31no—
627#452—31no—
628#452—31no—
629#452—31no—
630#452—31no—
631#452—31no—
632#452—31no—
633#452—31no—
634#452—31no—
635#452—31no—
636#452—31no—
637#452—31no—
638#452—31no—
639#452C2×D311yescharacteristic, complemented
640#452C2×D311yescharacteristic, complemented
641#451—31no—
642#451C2×D311yescharacteristic, complemented
643#450—31no—
644#450—31no—
645#449—31no—
646#449—31no—
647#449—31no—
648#449—31no—
649#449—31no—
650#449—31no—
651#449—31no—
652#449—31no—
653#449—31no—
654#449—31no—
655#448—31no—
656#448—31no—
657#448—31no—
658#448C2×D311yescharacteristic, complemented
659#447—31no—
660#447—31no—
661#447—31no—
662#447—31no—
663#442—31no—
664#441—31no—
665#440—31no—
666#440—31no—
667C4×Q16—31no—
668C4×SD16—31no—
669C4×SD16—31no—
670C4×D8—31no—
671#436—31no—
672#436—31no—
673#435—31no—
674#435—31no—
675#435—31no—
676#435—31no—
677C8×D4—31no—
678C8×D4—31no—
679#432—31no—
680#431—31no—
681#419—31no—
682#418—31no—
683#417—31no—
684#417—31no—
685#416—31no—
686#416—31no—
687C2×#103—31no—
688C2×#102—31no—
689#407—31no—
690#407C2×D311yescharacteristic, complemented
691C2×C22⋊C8—31no—
692C2×C22⋊C8—31no—
693C24×C3C2×D411yescharacteristic
694C23×D3—21no—
695C23×D3—21no—
696C23×D3—21no—
697C23×D3C2×D411yescharacteristic
698C3×#41—41no—
699C3×#41—41no—
700C2×C3×Q8—21no—
701C2×C3×Q8—41no—
702C2×C3×Q8—41no—
703C2×C3×Q8C2411yescharacteristic
704C2×C3×Q8C2411yescharacteristic
705C2×C3×Q8C2411yescharacteristic
706C2×C3×D4—21no—
707C2×C3×D4—21no—
708C2×C3×D4—21no—
709C2×C3×D4C2411yescharacteristic
710C22×C3×C4—21no—
711C22×C3×C4—21no—
712C22×C3×C4—21no—
713C22×C3×C4—41no—
714C22×C3×C4—41no—
715C22×C3×C4C2×D411yescharacteristic
716C22×C3×C4C2×D411yescharacteristic
717C22×C3×C4C2×D411yescharacteristic
718C22×C3×C4C2411yescharacteristic
719C22×C3×C4C2411yescharacteristic
720C22×C3×C4C2411yescharacteristic
721C2×#67—21no—
722C2×#67—21no—
723C2×#67—21no—
724C2×#67—21no—
725C2×#67—21no—
726C2×#67—21no—
727C2×#67—21no—
728C2×#67—21no—
729C2×#67—21no—
730C2×#67—21no—
731C2×#67—21no—
732C2×#67—21no—
733C2×#67—42no—
734C2×#67—44no—
735C2×#67—44no—
736C2×#67C2×D411yescharacteristic
737C2×#67C2×D411yescharacteristic
738C2×#67C2×D411yescharacteristic
739C2×#67C2×D411yescharacteristic
740C22×Dic3—21no—
741C22×Dic3—21no—
742C22×Dic3—21no—
743C22×Dic3C2×D411yescharacteristic
744C22×Dic3C2×D411yescharacteristic
745C22×Dic3C2×D411yescharacteristic
746#239—22no—
747#239—41no—
748#239—41no—
749#239—41no—
750#239—41no—
751#239—41no—
752D3×Q8—22no—
753D3×Q8—41no—
754#237—22no—
755#237—41no—
756#237—44no—
757D3×D4—22no—
758D3×D4—41no—
759D3×D4—44no—
760D3×D4—44no—
761#235—22no—
762#235—22no—
763#235—22no—
764#235—22no—
765#235—41no—
766#235—41no—
767#235—41no—
768#235—41no—
769#235—44no—
770#235—44no—
771#235—44no—
772C2×D12—22no—
773C2×D12—21no—
774C2×D12—21no—
775C2×D12—21no—
776C2×D12—21no—
777C2×D12—21no—
778C2×D12—21no—
779C2×D12—21no—
780C2×D12—21no—
781C2×D12—21no—
782C2×D12—41no—
783C2×D12—41no—
784C2×D12—41no—
785C2×D12C2411yescharacteristic
786C2×D12C2411yescharacteristic
787C2×D12C2411yescharacteristic
788C2×D12C2411yescharacteristic
789C2×C4×D3—21no—
790C2×C4×D3—21no—
791C2×C4×D3—21no—
792C2×C4×D3—21no—
793C2×C4×D3—21no—
794C2×C4×D3—21no—
795C2×C4×D3—21no—
796C2×C4×D3—21no—
797C2×C4×D3—21no—
798C2×C4×D3—21no—
799C2×C4×D3—21no—
800C2×C4×D3—21no—
801C2×C4×D3—41no—
802C2×C4×D3—41no—
803C2×C4×D3—44no—
804C2×C4×D3—44no—
805C2×C4×D3C2×D411yescharacteristic
806C2×C4×D3C2×D411yescharacteristic
807C2×C4×D3C2411yescharacteristic
808C2×C4×D3C2411yescharacteristic
809C2×Dic6—22no—
810C2×Dic6—21no—
811C2×Dic6—21no—
812C2×Dic6—41no—
813C2×Dic6C2411yescharacteristic
814C2×Dic6C2411yescharacteristic
815C3×Q16—41no—
816C3×Q16—41no—
817C3×SD16—41no—
818C3×SD16—41no—
819C3×M16—41no—
820C3×M16—41no—
821C2×C3×C8C2411yescharacteristic
822C2×C3×C8C2411yescharacteristic
823C2×C3×C8C2411yescharacteristic
824C2×C3×C8C2411yescharacteristic
825C3×C4⋊C4—21no—
826C3×C4⋊C4—21no—
827C3×C4⋊C4—21no—
828C3×C4⋊C4—21no—
829C3×C4⋊C4—21no—
830C3×C4⋊C4—21no—
831C3×C4⋊C4—21no—
832C3×C4⋊C4C2411yescharacteristic
833C3×C4⋊C4C2411yescharacteristic
834C3×C4⋊C4C2411yescharacteristic
835C3×C4⋊C4C2411yescharacteristic
836C3×C22⋊C4—21no—
837C3×C22⋊C4—21no—
838C3×C22⋊C4—21no—
839C3×C22⋊C4—21no—
840C3×C22⋊C4—21no—
841C3×C22⋊C4—21no—
842C3×C22⋊C4—21no—
843C3×C22⋊C4—21no—
844C3×C22⋊C4—21no—
845C3×C42—21no—
846#217—21no—
847#217—21no—
848#217C2×D411yescharacteristic
849#217C2×D411yescharacteristic
850#217C2×D411yescharacteristic
851#217C2×D411yescharacteristic
852#216—22no—
853#216—22no—
854#216—41no—
855#216—41no—
856#215—22no—
857#215—22no—
858#215—41no—
859#215—41no—
860#215—41no—
861#215—41no—
862#213—41no—
863#213—41no—
864(C2×D3)⋊C4—21no—
865(C2×D3)⋊C4—21no—
866(C2×D3)⋊C4—21no—
867(C2×D3)⋊C4—21no—
868(C2×D3)⋊C4—21no—
869(C2×D3)⋊C4—21no—
870(C2×D3)⋊C4—21no—
871(C2×D3)⋊C4—21no—
872(C2×D3)⋊C4—21no—
873(C2×D3)⋊C4—21no—
874(C2×D3)⋊C4—21no—
875(C2×D3)⋊C4—21no—
876(C2×D3)⋊C4—21no—
877(C2×D3)⋊C4—21no—
878(C2×D3)⋊C4—21no—
879(C2×D3)⋊C4—21no—
880(C2×D3)⋊C4—21no—
881(C2×D3)⋊C4—21no—
882(C2×D3)⋊C4—21no—
883(C2×D3)⋊C4—21no—
884(C2×D3)⋊C4—21no—
885(C2×D3)⋊C4—21no—
886(C2×D3)⋊C4—21no—
887(C2×D3)⋊C4—21no—
888(C2×D3)⋊C4C2×D411yescharacteristic
889(C2×D3)⋊C4C2×D411yescharacteristic
890(C2×D3)⋊C4C2×D411yescharacteristic
891(C2×D3)⋊C4C2×D411yescharacteristic
892C4⋊Dic3—21no—
893C4⋊Dic3—21no—
894C4⋊Dic3—21no—
895C4⋊Dic3—21no—
896C4⋊Dic3—21no—
897C4⋊Dic3—21no—
898C4⋊Dic3—21no—
899C4⋊Dic3C2411yescharacteristic
900C4⋊Dic3C2411yescharacteristic
901Dic3⋊C4—21no—
902Dic3⋊C4—21no—
903Dic3⋊C4—21no—
904Dic3⋊C4—21no—
905Dic3⋊C4—21no—
906Dic3⋊C4—21no—
907Dic3⋊C4—21no—
908Dic3⋊C4—21no—
909Dic3⋊C4C2×D411yescharacteristic
910Dic3⋊C4C2×D411yescharacteristic
911Dic3⋊C4C2×D411yescharacteristic
912Dic3⋊C4C2×D411yescharacteristic
913C4×Dic3—21no—
914C4×Dic3—21no—
915C4×Dic3—21no—
916C4×Dic3—21no—
917C4×Dic3—21no—
918C4×Dic3—21no—
919C4×Dic3C2×D411yescharacteristic
920C4×Dic3C2×D411yescharacteristic
921C4×Dic3C2411yescharacteristic
922C4×Dic3C2411yescharacteristic
923C2×C3⋊C8—41no—
924C2×C3⋊C8—41no—
925C2×C3⋊C8C2411yescharacteristic
926C2×C3⋊C8C2411yescharacteristic
927C2×C3⋊C8C2411yescharacteristic
928C2×C3⋊C8C2411yescharacteristic
929D24—22no—
930D24—22no—
931D24—41no—
932D24—41no—
933#204—22no—
934#204—22no—
935#204—41no—
936#204—41no—
937ΓL(1,𝔽25)—41no—
938ΓL(1,𝔽25)—41no—
939D3×C8—41no—
940D3×C8—41no—
941C2×#41—31no—
942C2×#41—31no—
943C2×#41—31no—
944C2×#41—31no—
945C2×#41—31no—
946C2×#41—31no—
947C2×#41—31no—
948C2×#41—31no—
949C2×#41—61no—
950C2×#41—61no—
951C2×#41—61no—
952C2×#41—61no—
953C2×#41—122no—
954C2×#41—122no—
955C2×#41—122no—
956C2×#41—122no—
957C2×#41C22×D311yescharacteristic
958C22×Q8—31no—
959C22×Q8—31no—
960C22×Q8C22×D311yescharacteristic
961C22×D4—31no—
962C22×D4—31no—
963C22×D4—31no—
964C22×D4—31no—
965C22×D4—61no—
966C22×D4—61no—
967C22×D4—61no—
968C22×D4—61no—
969C23×C4—31no—
970C23×C4—61no—
971C23×C4—61no—
972C23×C4C22×D311yescharacteristic
973#137—122no—
974AGL(1,ℤ/8)—122no—
975AGL(1,ℤ/8)—122no—
976AGL(1,ℤ/8)—122no—
977#135—122no—
978#135—122no—
979C2×Q16—31no—
980C2×Q16—31no—
981C2×Q16—31no—
982C2×Q16—31no—
983C2×Q16—122no—
984C2×Q16C22×D311yescharacteristic
985C2×Q16C22×D311yescharacteristic
986C2×SD16—31no—
987C2×SD16—31no—
988C2×SD16—31no—
989C2×SD16—31no—
990C2×SD16—31no—
991C2×SD16—31no—
992C2×SD16—31no—
993C2×SD16—31no—
994C2×SD16—31no—
995C2×SD16—31no—
996C2×SD16—122no—
997C2×SD16C22×D311yescharacteristic
998C2×SD16C22×D311yescharacteristic
999C2×D8—31no—
1000C2×D8—31no—
1001C2×D8—31no—
1002C2×D8—31no—
1003C2×D8—31no—
1004C2×D8—31no—
1005C2×M16—31no—
1006C2×M16—31no—
1007C2×M16C22×D311yescharacteristic
1008C2×M16C22×D311yescharacteristic
1009C22×C8—31no—
1010C22×C8—31no—
1011C22×C8—31no—
1012C22×C8—31no—
1013C4⋊Q8—31no—
1014C4⋊Q8—61no—
1015#127—31no—
1016#127—61no—
1017#126—61no—
1018#126—61no—
1019#126—61no—
1020#126—61no—
1021#126—61no—
1022#126—61no—
1023#125—31no—
1024#125—31no—
1025#125—61no—
1026#125—61no—
1027#124—31no—
1028#124—31no—
1029#124—31no—
1030#124—31no—
1031#124—61no—
1032#124—61no—
1033#124—61no—
1034#124—61no—
1035#123—21no—
1036#123—61no—
1037#123—61no—
1038#123—61no—
1039#123—61no—
1040#123—61no—
1041#123—61no—
1042#123—61no—
1043#123—61no—
1044#123—61no—
1045#123—61no—
1046#123—61no—
1047#123—61no—
1048#123—61no—
1049#123—61no—
1050#123—61no—
1051C22⋊Q8—21no—
1052C22⋊Q8—21no—
1053C22⋊Q8—31no—
1054C22⋊Q8—31no—
1055C22⋊Q8—31no—
1056C22⋊Q8—31no—
1057C22⋊Q8—61no—
1058C22⋊Q8—61no—
1059C22⋊Q8—61no—
1060C22⋊Q8—61no—
1061C22⋊Q8—61no—
1062C22⋊Q8—61no—
1063C22⋊Q8C22×D311yescharacteristic
1064C22⋊Q8C22×D311yescharacteristic
1065C22⋊Q8C22×D311yescharacteristic
1066C22⋊Q8C22×D311yescharacteristic
1067C22⋊Q8C22×D311yescharacteristic
1068C22⋊Q8C22×D311yescharacteristic
1069#121—31no—
1070#121—31no—
1071#121—31no—
1072#121—31no—
1073#121—31no—
1074#121—31no—
1075#121—31no—
1076#121—31no—
1077#121—61no—
1078#121—61no—
1079#121—61no—
1080#121—61no—
1081#121—61no—
1082#121—61no—
1083#121—61no—
1084#121—61no—
1085#121—61no—
1086#121—61no—
1087#121—61no—
1088#121—61no—
1089#121—61no—
1090#121—61no—
1091#121—61no—
1092#121—61no—
1093#121—61no—
1094#121—61no—
1095#121C22×D311yescharacteristic
1096#121C22×D311yescharacteristic
1097#120—21no—
1098#120—61no—
1099#120—61no—
1100#120—61no—
1101#120—61no—
1102#120—61no—
1103#120—61no—
1104#120—61no—
1105#120—61no—
1106#120—61no—
1107C4×Q8—31no—
1108C4×Q8—31no—
1109C4×Q8—31no—
1110C4×Q8—31no—
1111C4×D4—21no—
1112C4×D4—21no—
1113C4×D4—31no—
1114C4×D4—31no—
1115C4×D4—31no—
1116C4×D4—31no—
1117C4×D4—31no—
1118C4×D4—31no—
1119C4×D4—31no—
1120C4×D4—31no—
1121C4×D4—31no—
1122C4×D4—31no—
1123C4×D4—31no—
1124C4×D4—31no—
1125C4×D4—61no—
1126C4×D4—61no—
1127C4×D4—61no—
1128C4×D4—61no—
1129C4×D4—61no—
1130C4×D4—61no—
1131C4×D4—61no—
1132C4×D4—61no—
1133C4×D4—61no—
1134C4×D4—61no—
1135C4×D4—61no—
1136C4×D4—61no—
1137C4×D4—61no—
1138C4×D4—61no—
1139C4×D4—61no—
1140C4×D4—61no—
1141C4×D4—61no—
1142C4×D4—61no—
1143C4×D4—61no—
1144C4×D4—61no—
1145#117—31no—
1146#117—31no—
1147#117—61no—
1148#117—61no—
1149#117—61no—
1150#117—61no—
1151#117—61no—
1152#117C22×D311yescharacteristic
1153C2×C4⋊C4—21no—
1154C2×C4⋊C4—31no—
1155C2×C4⋊C4—31no—
1156C2×C4⋊C4—61no—
1157C2×C4⋊C4C22×D311yescharacteristic
1158C2×C22⋊C4—21no—
1159C2×C22⋊C4—31no—
1160C2×C22⋊C4—31no—
1161C2×C22⋊C4—61no—
1162C2×C22⋊C4—61no—
1163C2×C22⋊C4—61no—
1164C2×C22⋊C4—61no—
1165C2×C22⋊C4—61no—
1166C2×C42—31no—
1167C2×C42—61no—
1168#107—31no—
1169#107—31no—
1170#107C22×D311yescharacteristic
1171#107C22×D311yescharacteristic
1172#106—31no—
1173#106—31no—
1174#106C22×D311yescharacteristic
1175#106C22×D311yescharacteristic
1176C4⋊C8—31no—
1177C4⋊C8—31no—
1178C4⋊C8—31no—
1179C4⋊C8—31no—
1180#103—31no—
1181#103—31no—
1182#103—31no—
1183#103—31no—
1184#103—31no—
1185#103—31no—
1186#103—31no—
1187#103—31no—
1188#103—31no—
1189#103—31no—
1190#103C22×D311yescharacteristic
1191#103C22×D311yescharacteristic
1192#103C22×D311yescharacteristic
1193#103C22×D311yescharacteristic
1194#103C22×D311yescharacteristic
1195#103C22×D311yescharacteristic
1196#102—31no—
1197#102—31no—
1198#102—31no—
1199#102—31no—
1200#102—31no—
1201#102—31no—
1202#102—31no—
1203#102—31no—
1204#102—31no—
1205#102—31no—
1206#102—31no—
1207#102—31no—
1208#102—31no—
1209#102—31no—
1210#102C22×D311yescharacteristic
1211#102C22×D311yescharacteristic
1212C22⋊C8—31no—
1213C22⋊C8—31no—
1214C22⋊C8—31no—
1215C22⋊C8—31no—
1216C22⋊C8—31no—
1217C22⋊C8—31no—
1218C22⋊C8—31no—
1219C22⋊C8—31no—
1220C22⋊C8C22×D311yescharacteristic
1221C22⋊C8C22×D311yescharacteristic
1222C22⋊C8C22×D311yescharacteristic
1223C22⋊C8C22×D311yescharacteristic
1224#97—31no—
1225#97—31no—
1226C4×C8—31no—
1227C4×C8—31no—
1228C23×C3—22no—
1229C23×C3—21no—
1230C23×C3—41no—
1231C23×C3—41no—
1232C23×C3C22×D411yescharacteristic
1233C23×C3C22×D411yescharacteristic
1234C23×C3C22×D411yescharacteristic
1235C22×D3—21no—
1236C22×D3—21no—
1237C22×D3—21no—
1238C22×D3—21no—
1239C22×D3—41no—
1240C22×D3—41no—
1241C22×D3—41no—
1242C22×D3—42no—
1243C22×D3—42no—
1244C22×D3—42no—
1245C22×D3—42no—
1246C22×D3—42no—
1247C22×D3—81no—
1248C22×D3—81no—
1249C22×D3—81no—
1250C22×D3—81no—
1251C22×D3C22×D411yescharacteristic
1252C22×D3C22×D411yescharacteristic
1253C3×Q8—21no—
1254C3×Q8—21no—
1255C3×Q8—21no—
1256C3×Q8—21no—
1257C3×Q8—21no—
1258C3×Q8—21no—
1259C3×Q8—81no—
1260C3×D4—21no—
1261C3×D4—21no—
1262C3×D4—42no—
1263C3×D4—42no—
1264C3×D4—81no—
1265C2×C3×C4—21no—
1266C2×C3×C4—21no—
1267C2×C3×C4—21no—
1268C2×C3×C4—21no—
1269C2×C3×C4—21no—
1270C2×C3×C4—21no—
1271C2×C3×C4—21no—
1272C2×C3×C4—21no—
1273C2×C3×C4—21no—
1274C2×C3×C4—21no—
1275C2×C3×C4—21no—
1276C2×C3×C4—21no—
1277C2×C3×C4—21no—
1278C2×C3×C4—41no—
1279C2×C3×C4—41no—
1280C2×C3×C4—41no—
1281C2×C3×C4—42no—
1282C2×C3×C4—81no—
1283C2×C3×C4—81no—
1284C2×C3×C4C22×D411yescharacteristic
1285C2×C3×C4C22×D411yescharacteristic
1286C2×C3×C4C22×D411yescharacteristic
1287C2×C3×C4C2511yescharacteristic
1288#67—24no—
1289#67—22no—
1290#67—22no—
1291#67—41no—
1292#67—41no—
1293#67—42no—
1294#67—42no—
1295#67—42no—
1296#67—42no—
1297#67—42no—
1298#67—42no—
1299#67—42no—
1300#67—42no—
1301#67—42no—
1302#67—42no—
1303#67—81no—
1304C2×Dic3—21no—
1305C2×Dic3—21no—
1306C2×Dic3—21no—
1307C2×Dic3—21no—
1308C2×Dic3—41no—
1309C2×Dic3—41no—
1310C2×Dic3—41no—
1311C2×Dic3—42no—
1312C2×Dic3—42no—
1313C2×Dic3—42no—
1314C2×Dic3C22×D411yescharacteristic
1315C2×Dic3C22×D411yescharacteristic
1316C2×Dic3C22×D411yescharacteristic
1317C2×Dic3C22×D411yescharacteristic
1318C2×Dic3C22×D411yescharacteristic
1319C2×Dic3C22×D411yescharacteristic
1320D12—21no—
1321D12—21no—
1322D12—21no—
1323D12—21no—
1324D12—21no—
1325D12—21no—
1326D12—21no—
1327D12—42no—
1328D12—42no—
1329D12—42no—
1330D12—81no—
1331D12—81no—
1332D12—81no—
1333D12—81no—
1334D12—81no—
1335D12—81no—
1336D12H(5,𝔽2)12yes—
1337C4×D3—24no—
1338C4×D3—21no—
1339C4×D3—21no—
1340C4×D3—21no—
1341C4×D3—21no—
1342C4×D3—41no—
1343C4×D3—41no—
1344C4×D3—42no—
1345C4×D3—42no—
1346C4×D3—42no—
1347C4×D3—42no—
1348C4×D3—42no—
1349C4×D3—42no—
1350C4×D3—81no—
1351C4×D3—81no—
1352C4×D3—81no—
1353C4×D3—81no—
1354C4×D3—81no—
1355Dic6—21no—
1356Dic6—21no—
1357Dic6—21no—
1358Dic6—42no—
1359Dic6—42no—
1360Dic6H(5,𝔽2)12yes—
1361C3×C8—21no—
1362C3×C8—21no—
1363C3×C8—21no—
1364C3×C8—21no—
1365C3⋊C8—21no—
1366C3⋊C8—21no—
1367C3⋊C8—21no—
1368C3⋊C8—21no—
1369C24—31no—
1370C24—61no—
1371C24—61no—
1372C24—61no—
1373C24D3×D411yescharacteristic
1374#41—41no—
1375#41—41no—
1376#41—62no—
1377#41—62no—
1378#41—62no—
1379#41—62no—
1380#41—62no—
1381#41—62no—
1382#41—121no—
1383#41—121no—
1384#41—121no—
1385#41—121no—
1386#41—124no—
1387#41—124no—
1388#41—124no—
1389#41—121no—
1390#41—121no—
1391#41—121no—
1392#41—121no—
1393#41—121no—
1394#41—121no—
1395#41—124no—
1396C2×Q8—21no—
1397C2×Q8—31no—
1398C2×Q8—31no—
1399C2×Q8—41no—
1400C2×Q8—41no—
1401C2×Q8—61no—
1402C2×Q8—62no—
1403C2×Q8—61no—
1404C2×Q8—62no—
1405C2×Q8—121no—
1406C2×Q8—121no—
1407C2×Q8C23×D311yescharacteristic
1408C2×Q8C23×D311yescharacteristic
1409C2×Q8C23×D311yescharacteristic
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—31no—
1414C2×D4—31no—
1415C2×D4—31no—
1416C2×D4—31no—
1417C2×D4—31no—
1418C2×D4—31no—
1419C2×D4—31no—
1420C2×D4—31no—
1421C2×D4—62no—
1422C2×D4—61no—
1423C2×D4—61no—
1424C2×D4—61no—
1425C2×D4—61no—
1426C2×D4—61no—
1427C2×D4—61no—
1428C2×D4—61no—
1429C2×D4—61no—
1430C2×D4—61no—
1431C2×D4—61no—
1432C2×D4—62no—
1433C2×D4—61no—
1434C2×D4—61no—
1435C2×D4—61no—
1436C2×D4—61no—
1437C2×D4—61no—
1438C2×D4—61no—
1439C2×D4—61no—
1440C2×D4—61no—
1441C2×D4—61no—
1442C2×D4—61no—
1443C2×D4—61no—
1444C2×D4—121no—
1445C2×D4—121no—
1446C2×D4—121no—
1447C2×D4—121no—
1448C2×D4—124no—
1449C2×D4—124no—
1450C2×D4—122no—
1451C2×D4—124no—
1452C2×D4—124no—
1453C2×D4C23×D311yescharacteristic
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—31no—
1458C22×C4—31no—
1459C22×C4—31no—
1460C22×C4—31no—
1461C22×C4—31no—
1462C22×C4—31no—
1463C22×C4—31no—
1464C22×C4—41no—
1465C22×C4—41no—
1466C22×C4—61no—
1467C22×C4—61no—
1468C22×C4—61no—
1469C22×C4—61no—
1470C22×C4—61no—
1471C22×C4—61no—
1472C22×C4—61no—
1473C22×C4—61no—
1474C22×C4—61no—
1475C22×C4—61no—
1476C22×C4—61no—
1477C22×C4—61no—
1478C22×C4—61no—
1479C22×C4—61no—
1480C22×C4—61no—
1481C22×C4—121no—
1482C22×C4—121no—
1483C22×C4—124no—
1484C22×C4—124no—
1485C22×C4D3×D411yescharacteristic
1486C22×C4D3×D411yescharacteristic
1487C22×C4D3×D411yescharacteristic
1488C22×C4C23×D311yescharacteristic
1489C22×C4C23×D311yescharacteristic
1490C22×C4C23×D311yescharacteristic
1491Q16—41no—
1492Q16—41no—
1493Q16—62no—
1494Q16—62no—
1495Q16—121no—
1496Q16—121no—
1497SD16—41no—
1498SD16—41no—
1499SD16—62no—
1500SD16—62no—
1501SD16—62no—
1502SD16—62no—
1503SD16—121no—
1504SD16—121no—
1505SD16—121no—
1506SD16—121no—
1507SD16—121no—
1508SD16—121no—
1509D8—62no—
1510D8—62no—
1511D8—121no—
1512D8—121no—
1513D8—121no—
1514D8—121no—
1515M16—41no—
1516M16—41no—
1517M16—121no—
1518M16—121no—
1519C2×C8—31no—
1520C2×C8—31no—
1521C2×C8—31no—
1522C2×C8—31no—
1523C2×C8—121no—
1524C2×C8—121no—
1525C2×C8—121no—
1526C2×C8—121no—
1527C2×C8C23×D311yescharacteristic
1528C2×C8C23×D311yescharacteristic
1529C2×C8C23×D311yescharacteristic
1530C2×C8C23×D311yescharacteristic
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—21no—
1535C4⋊C4—21no—
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—31no—
1539C4⋊C4—31no—
1540C4⋊C4—31no—
1541C4⋊C4—31no—
1542C4⋊C4—31no—
1543C4⋊C4—31no—
1544C4⋊C4—61no—
1545C4⋊C4—61no—
1546C4⋊C4—61no—
1547C4⋊C4—61no—
1548C4⋊C4—61no—
1549C4⋊C4—61no—
1550C4⋊C4—61no—
1551C4⋊C4—61no—
1552C4⋊C4—61no—
1553C4⋊C4—61no—
1554C4⋊C4—61no—
1555C4⋊C4—61no—
1556C4⋊C4—61no—
1557C4⋊C4—61no—
1558C4⋊C4—61no—
1559C4⋊C4C23×D311yescharacteristic
1560C4⋊C4C23×D311yescharacteristic
1561C4⋊C4C23×D311yescharacteristic
1562C4⋊C4C23×D311yescharacteristic
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—31no—
1573C22⋊C4—31no—
1574C22⋊C4—31no—
1575C22⋊C4—31no—
1576C22⋊C4—31no—
1577C22⋊C4—31no—
1578C22⋊C4—31no—
1579C22⋊C4—31no—
1580C22⋊C4—61no—
1581C22⋊C4—61no—
1582C22⋊C4—61no—
1583C22⋊C4—61no—
1584C22⋊C4—61no—
1585C22⋊C4—61no—
1586C22⋊C4—61no—
1587C22⋊C4—61no—
1588C22⋊C4—61no—
1589C22⋊C4—61no—
1590C22⋊C4—61no—
1591C22⋊C4—61no—
1592C22⋊C4—61no—
1593C22⋊C4—61no—
1594C22⋊C4—61no—
1595C22⋊C4—61no—
1596C22⋊C4—61no—
1597C22⋊C4—61no—
1598C22⋊C4—61no—
1599C22⋊C4—61no—
1600C22⋊C4—61no—
1601C22⋊C4—61no—
1602C22⋊C4—61no—
1603C22⋊C4—61no—
1604C22⋊C4—61no—
1605C22⋊C4—61no—
1606C42—21no—
1607C42—31no—
1608C42—31no—
1609C42—31no—
1610C42—31no—
1611C42—61no—
1612C42—61no—
1613C42—61no—
1614C42—61no—
1615C42—61no—
1616C42—61no—
1617C22×C3—21no—
1618C22×C3—21no—
1619C22×C3—21no—
1620C22×C3—21no—
1621C22×C3—21no—
1622C22×C3—21no—
1623C22×C3—21no—
1624C22×C3—21no—
1625C22×C3—41no—
1626C22×C3—41no—
1627C22×C3—41no—
1628C22×C3—82no—
1629C22×C3#57512yes—
1630C22×C3C23×D411yescharacteristic
1631C2×D3—21no—
1632C2×D3—21no—
1633C2×D3—21no—
1634C2×D3—22no—
1635C2×D3—21no—
1636C2×D3—21no—
1637C2×D3—21no—
1638C2×D3—41no—
1639C2×D3—41no—
1640C2×D3—41no—
1641C2×D3—41no—
1642C2×D3—41no—
1643C2×D3—41no—
1644C2×D3—41no—
1645C2×D3—41no—
1646C2×D3—41no—
1647C2×D3—41no—
1648C2×D3—41no—
1649C2×D3—82no—
1650C2×D3—84no—
1651C2×D3—84no—
1652C2×D3—162no—
1653C3×C4—21no—
1654C3×C4—21no—
1655C3×C4—21no—
1656C3×C4—41no—
1657C3×C4—41no—
1658C3×C4—41no—
1659C3×C4—41no—
1660C3×C4—41no—
1661C3×C4—41no—
1662C3×C4—41no—
1663C3×C4C2×H(5,𝔽2)11yescharacteristic
1664C3×C4C2×H(5,𝔽2)11yescharacteristic
1665Dic3—21no—
1666Dic3—21no—
1667Dic3—22no—
1668Dic3—21no—
1669Dic3—21no—
1670Dic3—21no—
1671Dic3—21no—
1672Dic3—41no—
1673Dic3—41no—
1674Dic3—41no—
1675C23—22no—
1676C23—21no—
1677C23—31no—
1678C23—31no—
1679C23—41no—
1680C23—41no—
1681C23—61no—
1682C23—61no—
1683C23—61no—
1684C23—61no—
1685C23—121no—
1686C23—121no—
1687C23—121no—
1688C23—122no—
1689C23—122no—
1690C23—122no—
1691C23—122no—
1692C23—122no—
1693C23—241no—
1694C23—241no—
1695C23—241no—
1696C23—241no—
1697C23C2×D3×D411yescharacteristic
1698C23C2×D3×D411yescharacteristic
1699C23C2×D3×D411yescharacteristic
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—32no—
1707Q8—61no—
1708Q8—61no—
1709Q8—61no—
1710Q8—81no—
1711Q8—122no—
1712Q8—122no—
1713D4—21no—
1714D4—21no—
1715D4—32no—
1716D4—42no—
1717D4—42no—
1718D4—64no—
1719D4—62no—
1720D4—62no—
1721D4—61no—
1722D4—61no—
1723D4—61no—
1724D4—61no—
1725D4—61no—
1726D4—61no—
1727D4—61no—
1728D4—81no—
1729D4—122no—
1730D4—122no—
1731D4—122no—
1732D4—121no—
1733D4—121no—
1734D4—122no—
1735D4—122no—
1736D4—122no—
1737D4—122no—
1738D4—122no—
1739D4—122no—
1740D4—122no—
1741D4—122no—
1742D4—122no—
1743D4—122no—
1744D4—241no—
1745D4—241no—
1746D4—241no—
1747D4—241no—
1748D4—241no—
1749D4—241no—
1750D4—241no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—31no—
1765C2×C4—31no—
1766C2×C4—31no—
1767C2×C4—31no—
1768C2×C4—31no—
1769C2×C4—31no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—42no—
1774C2×C4—64no—
1775C2×C4—61no—
1776C2×C4—61no—
1777C2×C4—61no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—81no—
1784C2×C4—81no—
1785C2×C4—121no—
1786C2×C4—121no—
1787C2×C4—122no—
1788C2×C4—122no—
1789C2×C4—122no—
1790C2×C4—122no—
1791C2×C4—122no—
1792C2×C4—122no—
1793C2×C4—121no—
1794C2×C4—121no—
1795C2×C4—121no—
1796C2×C4—122no—
1797C2×C4—122no—
1798C2×C4—122no—
1799C2×C4—241no—
1800C2×C4—241no—
1801C2×C4—241no—
1802C2×C4—241no—
1803C2×C4—241no—
1804C2×C4C2×D3×D411yescharacteristic
1805C2×C4C2×D3×D411yescharacteristic
1806C2×C4C2×D3×D411yescharacteristic
1807C2×C4C24×D311yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—61no—
1813C8—61no—
1814C8—61no—
1815C8—61no—
1816C2×C3—22no—
1817C2×C3—41no—
1818C2×C3—41no—
1819C2×C3—81no—
1820C2×C3#348411yescharacteristic
1821C2×C3C2×#57511yescharacteristic
1822C2×C3#358411yescharacteristic
1823D3—41no—
1824D3—41no—
1825D3—42no—
1826D3—81no—
1827D3—81no—
1828D3—81no—
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—61no—
1841C22—62no—
1842C22—61no—
1843C22—61no—
1844C22—61no—
1845C22—61no—
1846C22—61no—
1847C22—82no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—121no—
1857C22—121no—
1858C22—121no—
1859C22—244no—
1860C22—242no—
1861C22—244no—
1862C22—482no—
1863C22#577712yes—
1864C22C22×D3×D411yescharacteristic
1865C4—21no—
1866C4—21no—
1867C4—21no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—61no—
1876C4—61no—
1877C4—62no—
1878C4—61no—
1879C4—61no—
1880C4—61no—
1881C4—61no—
1882C4—121no—
1883C4—121no—
1884C4—121no—
1885C4D3×H(5,𝔽2)11yescharacteristic
1886C4D3×H(5,𝔽2)11yescharacteristic
1887C3#6160611yescharacteristic, complemented, Sylow
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—81no—
1892C2—121no—
1893C2—121no—
1894C2—122no—
1895C2—241no—
1896C2—241no—
1897C2—241no—
1898C2#8630811yescharacteristic
1899C2C2×#577711yescharacteristic
1900C2#8719911yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3196C2
socleC22×C3C23×D4
hypercenter#3196D3
hypocenterC3#61606
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3196

Complements

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

NH ≅ G/Ntype
1. #86037C2semidirect
2. #85971C2semidirect
3. C3×#3196C2semidirect
4. #82929C2semidirect
5. C2×#5047C2semidirect
6. #81541C2semidirect
7. #81540C2semidirect
8. #81494C2semidirect
9. #81492C2semidirect
10. #81491C2semidirect
11. #81485C2semidirect
12. #81345C2semidirect
13. #81343C2semidirect
14. #80922C2semidirect
15. #80921C2semidirect
16. #80918C2semidirect
17. #80916C2semidirect
18. #80839C2semidirect
19. #80836C2semidirect
20. #80827C2semidirect
21. #80824C2semidirect
22. #80227C2semidirect
23. #80226C2semidirect
24. #80223C2semidirect
25. #80221C2semidirect
26. #80208C2semidirect
27. #80207C2semidirect
28. #80067C2semidirect
29. #80060C2semidirect
30. #78639C2semidirect
31. #78633C2semidirect
33. C2×D3×#41C22semidirect
36. C2×C3×C22⋊Q8C22semidirect
37. #5832C22semidirect
39. #5817C22semidirect
40. C22×#216C22semidirect
41. C22×#215C22semidirect
42. C2×#930C22semidirect
44. C2×#919C22semidirect
45. C2×#918C22semidirect
46. C2×#916C22semidirect
47. C2×#914C22semidirect
48. C2×#908C22semidirect
49. C2×#908C22semidirect
54. #5642C22semidirect
55. #5642C22semidirect
59. #5632C22semidirect
61. #5630C22semidirect
62. #5630C22semidirect
63. #5630C22semidirect
64. #5627C22semidirect
65. #5627C22semidirect
66. #5624C22semidirect
67. #5624C22semidirect
69. #5609C22semidirect
71. #5598C22semidirect
78. #5524C22semidirect
79. #5522C22semidirect
83. #5514C22semidirect
86. C3×#485C22semidirect
87. C3×#485C22semidirect
88. C3×#484C22semidirect
89. C3×#481C22semidirect
90. C3×#470C22semidirect
91. C3×#470C22semidirect
92. C3×#468C22semidirect
93. C3×#468C22semidirect
94. C3×#452C22semidirect
95. C3×#452C22semidirect
96. C3×#451C22semidirect
97. C3×#448C22semidirect
98. C3×#407C22semidirect
99. #5238C22semidirect
100. #5238C22semidirect
101. C2×#830C22semidirect
102. #5191C22semidirect
103. #5190C22semidirect
104. #5187C22semidirect
105. #5186C22semidirect
106. #5185C22semidirect
107. #5182C22semidirect
108. #5176C22semidirect
109. #5173C22semidirect
110. #5169C22semidirect
111. #5168C22semidirect
112. #5166C22semidirect
113. #5163C22semidirect
114. #5133C22semidirect
115. #5133C22semidirect
116. #5128C22semidirect
117. #5128C22semidirect
118. #5127C22semidirect
119. #5127C22semidirect
120. #5048C22semidirect
121. #5048C22semidirect
122. #5047C22semidirect
123. #5047C22semidirect
124. #5047C22semidirect
125. #5047C22semidirect
126. #5047C22semidirect
127. #5047C22semidirect
128. #5047C22semidirect
129. #5047C22semidirect
130. #5046C22semidirect
131. #5044C22semidirect
132. #5038C22semidirect
133. #5038C22semidirect
134. #5036C22semidirect
135. #5034C22semidirect
136. #5003C22semidirect
137. #5003C22semidirect
138. C2×#810C22semidirect
139. C2×#809C22semidirect
140. #4891C22semidirect
141. #4889C22semidirect
142. #4888C22semidirect
143. #4886C22semidirect
144. #4885C22semidirect
145. #4883C22semidirect
146. #4877C22semidirect
147. #4872C22semidirect
148. #4871C22semidirect
149. #4869C22semidirect
150. #4868C22semidirect
151. #4866C22semidirect
152. #4865C22semidirect
153. #4864C22semidirect
154. #4857C22semidirect
155. #4852C22semidirect
156. #4819C22semidirect
157. #4819C22semidirect
158. #4819C22semidirect
159. #4818C22semidirect
160. #4817C22semidirect
161. #4816C22semidirect
162. #4813C22semidirect
163. #4812C22semidirect
164. #4810C22semidirect
165. #4810C22semidirect
166. #4810C22semidirect
167. #4808C22semidirect
168. #4808C22semidirect
169. #4807C22semidirect
170. #4806C22semidirect
171. #4804C22semidirect
172. #4802C22semidirect
173. #4800C22semidirect
174. #4798C22semidirect
175. #4798C22semidirect
176. #4797C22semidirect
177. #4790C22semidirect
178. #4789C22semidirect
179. #4788C22semidirect
180. #4787C22semidirect
181. #4786C22semidirect
182. #4781C22semidirect
183. #4773C22semidirect
184. #4772C22semidirect
185. #4770C22semidirect
186. #4768C22semidirect
187. #4764C22semidirect
188. #4738C22semidirect
189. #4738C22semidirect
192. #4734C22semidirect
193. #4734C22semidirect
194. #4732C22semidirect
195. #4732C22semidirect
196. #4730C22semidirect
197. #4730C22semidirect
198. #4726C22semidirect
199. #67⋊C8C22semidirect
200. #67⋊C8C22semidirect
201. D3×C22⋊C8C22semidirect
202. #4719C22semidirect
203. #4718C22semidirect
225. #3196D3semidirect
569. C2×C22⋊Q8C2×D3semidirect
585. #485C2×D3semidirect
586. #485C2×D3semidirect
588. #484C2×D3semidirect
594. #481C2×D3semidirect
600. #470C2×D3semidirect
601. #470C2×D3semidirect
605. #468C2×D3semidirect
606. #468C2×D3semidirect
639. #452C2×D3semidirect
640. #452C2×D3semidirect
642. #451C2×D3semidirect
658. #448C2×D3semidirect
690. #407C2×D3semidirect
1887. C3#61606semidirect

Maximal subgroups

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

subgroupindex
#860372
#859712
C3×#31962
#829292
C2×#50472
#815412
#815402
#814942
#814922
#814912
#814852
#813452
#813432
#809222
#809212
#809182
#809162
#808392
#808362
#808272
#808242
#802272
#802262
#802232
#802212
#802082
#802072
#800672
#800602
#786392
#786332
#616063