Finite Group Databasebeta

← #11680958

Subgroups — #11680958

Order 768.

2108 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86966C211yesmaximal, characteristic, complemented
2#86783C211yesmaximal, characteristic, complemented
3C3×#3305C211yesmaximal, characteristic, complemented
4#83656C211yesmaximal, characteristic, complemented
5#83577C211yesmaximal, characteristic, complemented
6#81582C211yesmaximal, characteristic, complemented
7#81570C211yesmaximal, characteristic, complemented
8#81411C211yesmaximal, characteristic, complemented
9#81408C211yesmaximal, characteristic, complemented
10#81400C211yesmaximal, characteristic, complemented
11#81398C211yesmaximal, characteristic, complemented
12#81121C211yesmaximal, characteristic, complemented
13#81096C211yesmaximal, characteristic, complemented
14#80735C211yesmaximal, characteristic, complemented
15#80727C211yesmaximal, characteristic, complemented
16#80722C211yesmaximal, characteristic, complemented
17#80720C211yesmaximal, characteristic, complemented
18#80348C211yesmaximal, characteristic, complemented
19#80340C211yesmaximal, characteristic, complemented
20#80129C211yesmaximal, characteristic, complemented
21#80125C211yesmaximal, characteristic, complemented
22#80088C211yesmaximal, characteristic, complemented
23#80084C211yesmaximal, characteristic, complemented
24#79671C211yesmaximal, characteristic, complemented
25#79661C211yesmaximal, characteristic, complemented
26#79435C211yesmaximal, characteristic, complemented
27#79428C211yesmaximal, characteristic, complemented
28#78858C211yesmaximal, characteristic, complemented
29#78848C211yesmaximal, characteristic, complemented
30#78836C211yesmaximal, characteristic, complemented
31#78833C211yesmaximal, characteristic, complemented
32#61616—31nomaximal, Sylow
33C2×#1010C2211yescharacteristic, complemented
34C2×D3×#41C2211yescharacteristic, complemented
35C3×#555C2211yescharacteristic, complemented
36C3×#550C2211yescharacteristic, complemented
37#5834C2211yescharacteristic
38#5831C2211yescharacteristic, complemented
39C2×#950C2211yescharacteristic, complemented
40C2×#949C2211yescharacteristic, complemented
41C2×#915C2211yescharacteristic, complemented
42C2×#914C2211yescharacteristic
43C2×#912C2211yescharacteristic, complemented
44C2×#911C2211yescharacteristic
45C2×#904C2211yescharacteristic, complemented
46C22×#204C2211yescharacteristic, complemented
47#5733C2211yescharacteristic
48#5726C2211yescharacteristic, complemented
49#5718—21no—
50#5718C2211yescharacteristic, complemented
51#5715—21no—
52#5715C2211yescharacteristic, complemented
53#5684—21no—
54#5678—21no—
55#5676—21no—
56#5674—21no—
57#5620—21no—
58#5609C2211yescharacteristic, complemented
59#5608C2211yescharacteristic
60#5607—21no—
61#5607C2211yescharacteristic, complemented
62#5606—21no—
63#5606C2211yescharacteristic, complemented
64#5605—21no—
65D3×#121C2211yescharacteristic
66#5599—21no—
67#5599C2211yescharacteristic, complemented
68#5599C2211yescharacteristic, complemented
69#5598—21no—
70#5598C2211yescharacteristic
71#5576C2211yescharacteristic, complemented
72#5572C2211yescharacteristic, complemented
73#5562C2211yescharacteristic
74#5554C2211yescharacteristic, complemented
75#5552—21no—
76#5552C2211yescharacteristic, complemented
77#5550C2211yescharacteristic, complemented
78#5547—21no—
79#5547C2211yescharacteristic
80#5535—21no—
81#5530C2211yescharacteristic, complemented
82#5529C2211yescharacteristic, complemented
83#5527—21no—
84#5525C2211yescharacteristic
85#5524C2211yescharacteristic
86C3×#486C2211yescharacteristic, complemented
87C3×#482C2211yescharacteristic, complemented
88C3×#482C2211yescharacteristic, complemented
89C3×#477C2211yescharacteristic, complemented
90C3×#466C2211yescharacteristic, complemented
91C3×#466C2211yescharacteristic, complemented
92C3×#459C2211yescharacteristic, complemented
93C3×#449C2211yescharacteristic, complemented
94C3×#449C2211yescharacteristic, complemented
95C3×C4×SD16C2211yescharacteristic, complemented
96C3×C8×D4C2211yescharacteristic, complemented
97C3×#416C2211yescharacteristic, complemented
98C3×#416C2211yescharacteristic, complemented
99#5239C2211yescharacteristic, complemented
100#5238C2211yescharacteristic
101#5170C2211yescharacteristic, complemented
102#5163C2211yescharacteristic, complemented
103#5158C2211yescharacteristic, complemented
104#5158C2211yescharacteristic, complemented
105#5156C2211yescharacteristic, complemented
106#5156C2211yescharacteristic, complemented
107#5154C2211yescharacteristic, complemented
108#5151C2211yescharacteristic, complemented
109#5114C2211yescharacteristic, complemented
110#5114C2211yescharacteristic, complemented
111#5111C2211yescharacteristic, complemented
112#5110C2211yescharacteristic, complemented
113C8×#67C2211yescharacteristic, complemented
114C2×(C2×D3)⋊C8C2211yescharacteristic, complemented
115#5094C2211yescharacteristic, complemented
116#5089C2211yescharacteristic, complemented
117#5074C2211yescharacteristic, complemented
118#5072C2211yescharacteristic, complemented
119#5042C2211yescharacteristic, complemented
120#5041C2211yescharacteristic, complemented
121#5040C2211yescharacteristic, complemented
122#5039C2211yescharacteristic, complemented
123#5038C2211yescharacteristic, complemented
124#5037C2211yescharacteristic, complemented
125#5037C2211yescharacteristic, complemented
126#5036C2211yescharacteristic, complemented
127#5028C2211yescharacteristic, complemented
128#5026C2211yescharacteristic, complemented
129#5018C2211yescharacteristic, complemented
130#5016C2211yescharacteristic, complemented
131#5011C2211yescharacteristic, complemented
132#5004C2211yescharacteristic, complemented
133#5003C2211yescharacteristic, complemented
134#5002C2211yescharacteristic, complemented
135#4996C2211yescharacteristic, complemented
136#4889C2211yescharacteristic, complemented
137#4888C2211yescharacteristic, complemented
138#4886C2211yescharacteristic, complemented
139#4885C2211yescharacteristic
140#4884C2211yescharacteristic, complemented
141#4883C2211yescharacteristic, complemented
142#4882C2211yescharacteristic, complemented
143#4873C2211yescharacteristic, complemented
144#4867C2211yescharacteristic, complemented
145#4866C2211yescharacteristic, complemented
146#4865C2211yescharacteristic, complemented
147#4857C2211yescharacteristic, complemented
148#4845C2211yescharacteristic, complemented
149#4844C2211yescharacteristic, complemented
150#4840C2211yescharacteristic, complemented
151#4836C2211yescharacteristic, complemented
152#4810C2211yescharacteristic
153#4809C2211yescharacteristic, complemented
154#4808C2211yescharacteristic, complemented
155#4806C2211yescharacteristic
156#4806C2211yescharacteristic, complemented
157#4806C2211yescharacteristic, complemented
158#4806C2211yescharacteristic, complemented
159#4803C2211yescharacteristic, complemented
160D3×#103C2211yescharacteristic, complemented
161#4799C2211yescharacteristic, complemented
162#4789C2211yescharacteristic, complemented
163#4788C2211yescharacteristic, complemented
164#4787C2211yescharacteristic, complemented
165#4786C2211yescharacteristic, complemented
166#4783C2211yescharacteristic, complemented
167#4783C2211yescharacteristic, complemented
168#4782C2211yescharacteristic, complemented
169#4782C2211yescharacteristic, complemented
170#4781C2211yescharacteristic
171#4781C2211yescharacteristic
172#4781C2211yescharacteristic, complemented
173#4781C2211yescharacteristic, complemented
174#4781C2211yescharacteristic, complemented
175#4781C2211yescharacteristic, complemented
176#4780C2211yescharacteristic, complemented
177#4779C2211yescharacteristic, complemented
178#4777C2211yescharacteristic, complemented
179#4777C2211yescharacteristic, complemented
180#4776C2211yescharacteristic, complemented
181#4776C2211yescharacteristic, complemented
182#4775C2211yescharacteristic, complemented
183#4773C2211yescharacteristic
184#4773C2211yescharacteristic, complemented
185#4771C2211yescharacteristic, complemented
186#4771C2211yescharacteristic, complemented
187#4768C2211yescharacteristic, complemented
188#4767C2211yescharacteristic, complemented
189#4764C2211yescharacteristic, complemented
190#4762C2211yescharacteristic, complemented
191#4762C2211yescharacteristic, complemented
192#4739C2211yescharacteristic, complemented
193#4734C2211yescharacteristic
194#4733C2211yescharacteristic, complemented
195#4732C2211yescharacteristic, complemented
196#4730C2211yescharacteristic, complemented
197#4729C2211yescharacteristic, complemented
198#4727C2211yescharacteristic, complemented
199#4726C2211yescharacteristic, complemented
200#4696C2211yescharacteristic, complemented
201C4×#204C2211yescharacteristic, complemented
202#4690C2211yescharacteristic, complemented
203#4688C2211yescharacteristic, complemented
204#3542—31no—
205#3487—31no—
206#3332—31no—
207#3327—31no—
208#3321—31no—
209#3317—31no—
210#3309—31no—
211#3308—31no—
212#3305D311yescharacteristic, complemented
213#3301—31no—
214#3287—31no—
215#3282—31no—
216#3275—31no—
217#3274—31no—
218#3271—31no—
219#3268—31no—
220#3268—31no—
221#3265—31no—
222#3224—31no—
223#3220—31no—
224#3199—31no—
225#3198—31no—
226#3197—31no—
227#3188—31no—
228#3126—31no—
229#3121—31no—
230#3013—31no—
231#3010—31no—
232#3006—31no—
233#3002—31no—
234#2976—31no—
235C2×C3×#41C2311yescharacteristic
236C2×C3×#41C2311yescharacteristic
237#1010—42no—
238#1010—42no—
239D3×#41—42no—
240D3×#41—42no—
241C2×#239—21no—
242C2×#239C2311yescharacteristic
243C2×D3×Q8C2311yescharacteristic
244C2×D3×Q8C2311yescharacteristic
245C2×#237—21no—
246C2×#237—21no—
247C2×#237—21no—
248C2×#237C2311yescharacteristic
249C2×#237C2311yescharacteristic
250C2×#237C2311yescharacteristic
251C2×#237C2311yescharacteristic
252C2×D3×D4—21no—
253C2×D3×D4—21no—
254C2×D3×D4—21no—
255C2×D3×D4C2311yescharacteristic
256C2×D3×D4C2311yescharacteristic
257C2×#235—21no—
258C2×#235—21no—
259C2×#235C2311yescharacteristic
260C2×#235C2311yescharacteristic
261C2×#235C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×C4×D3—21no—
264C22×C4×D3C2311yescharacteristic
265C22×Dic6—21no—
266C22×Dic6C2311yescharacteristic
267C2×C3×SD16C2311yescharacteristic
268C2×C3×D8C2311yescharacteristic
269C2×C3×D8C2311yescharacteristic
270C22×C3×C8C2311yescharacteristic
271C22×C3×C8C2311yescharacteristic
272C3×C4⋊Q8C2311yescharacteristic
273C3×#127—21no—
274C3×#127C2311yescharacteristic
275C3×#124—21no—
276C3×#124—21no—
277C3×#121—21no—
278C3×#121—21no—
279C3×#121—21no—
280C3×#121C2311yescharacteristic
281C3×#121C2311yescharacteristic
282C3×#121C2311yescharacteristic
283C3×#121C2311yescharacteristic
284C3×C4×Q8C2311yescharacteristic
285C3×C4×D4—21no—
286C3×C4×D4C2311yescharacteristic
287C3×C4×D4C2311yescharacteristic
288C3×#117—21no—
289C3×#117C2311yescharacteristic
290C3×#117C2311yescharacteristic
291#950—42no—
292#949—42no—
293#947—21no—
294#946—21no—
295#946—21no—
296Q8×Dic3C2311yescharacteristic
297C2×#216C2311yescharacteristic
298C2×#215C2311yescharacteristic
299C2×#215C2311yescharacteristic
300#940—21no—
301#940—21no—
302#940—21no—
303#940—21no—
304#940—21no—
305#940C2311yescharacteristic
306#940C2311yescharacteristic
307#939—21no—
308#939—21no—
309#939—21no—
310#939—21no—
311#939—21no—
312#939—21no—
313#939—21no—
314#939—21no—
315#939—21no—
316#939—21no—
317#939D411yescharacteristic
318#938—21no—
319#938—21no—
320#938—21no—
321#938C2311yescharacteristic
322#938C2311yescharacteristic
323#938C2311yescharacteristic
324#937—21no—
325#937—21no—
326#937—21no—
327#937—21no—
328#937—21no—
329#937—21no—
330#937D411yescharacteristic
331#936—21no—
332#936C2311yescharacteristic
333D4×Dic3—21no—
334D4×Dic3—21no—
335D4×Dic3—21no—
336C2×#214C2311yescharacteristic
337C2×#214C2311yescharacteristic
338C2×#214C2311yescharacteristic
339C2×#214C2311yescharacteristic
340C2×#213C2311yescharacteristic
341C2×#213C2311yescharacteristic
342C2×#213C2311yescharacteristic
343C2×#213C2311yescharacteristic
344C2×#213C2311yescharacteristic
345#930—21no—
346#930—21no—
347#930—21no—
348#930C2311yescharacteristic
349#930C2311yescharacteristic
350#929—21no—
351C4×#67—21no—
352C4×#67—21no—
353C4×#67C2311yescharacteristic
354C4×#67C2311yescharacteristic
355C2×(C2×D3)⋊C4—21no—
356#924—21no—
357#924C2311yescharacteristic
358#924C2311yescharacteristic
359C2×#208C2311yescharacteristic
360C22×C3⋊C8C2311yescharacteristic
361#915—42no—
362#914—42no—
363#912—42no—
364#911—42no—
365C2×Dic12C2311yescharacteristic
366C2×Dic12C2311yescharacteristic
367#904—42no—
368C2×D24C2311yescharacteristic
369C2×D24C2311yescharacteristic
370C2×#204—42no—
371C2×#204C2311yescharacteristic
372C2×#204C2311yescharacteristic
373C2×#204C2311yescharacteristic
374C2×#204C2311yescharacteristic
375C2×#204C2311yescharacteristic
376C2×ΓL(1,𝔽25)C2311yescharacteristic
377C2×ΓL(1,𝔽25)C2311yescharacteristic
378C2×ΓL(1,𝔽25)C2311yescharacteristic
379C2×D3×C8C2311yescharacteristic
380#898—21no—
381#897—21no—
382#897C2311yescharacteristic
383#897C2311yescharacteristic
384#897C2311yescharacteristic
385#896—21no—
386#896D411yescharacteristic
387#895—21no—
388#895C2311yescharacteristic
389#895C2311yescharacteristic
390#895C2311yescharacteristic
391#895C2311yescharacteristic
392#895C2311yescharacteristic
393#895C2311yescharacteristic
394#894—21no—
395#894—21no—
396#894—21no—
397#894—21no—
398#894D411yescharacteristic
399#893C2311yescharacteristic
400#892—21no—
401#892C2311yescharacteristic
402D3×C4⋊C4C2311yescharacteristic
403D3×C4⋊C4C2311yescharacteristic
404#890C2311yescharacteristic
405#887—21no—
406#887C2311yescharacteristic
407#887C2311yescharacteristic
408#886—21no—
409#886—21no—
410#885—21no—
411#885—21no—
412#885—21no—
413#884—21no—
414#884—21no—
415#884—21no—
416#884—21no—
417#884—21no—
418#884—21no—
419#884—21no—
420#884—21no—
421#884D411yescharacteristic
422#883—21no—
423#883—21no—
424#883—21no—
425#883—21no—
426#883D411yescharacteristic
427#882—21no—
428#882—21no—
429#882—21no—
430#882—21no—
431#882—21no—
432#882—21no—
433#882D411yescharacteristic
434#67⋊C4—21no—
435#67⋊C4—21no—
436#67⋊C4—21no—
437#67⋊C4—21no—
438D3×C22⋊C4—21no—
439D3×C22⋊C4—21no—
440#879—21no—
441#878—21no—
442#878—21no—
443#878D411yescharacteristic
444#876—21no—
445#875—21no—
446#875—21no—
447#875C2311yescharacteristic
448#875C2311yescharacteristic
449#874—21no—
450C4×D12—21no—
451C4×D12—21no—
452C4×D12—21no—
453C4×D12—21no—
454C4×D12C2311yescharacteristic
455C4×D12C2311yescharacteristic
456#872—21no—
457#872—21no—
458#872C2311yescharacteristic
459#870—21no—
460C4×Dic6—21no—
461C4×Dic6C2311yescharacteristic
462C3×#107C2311yescharacteristic
463C3×#107C2311yescharacteristic
464C3×#106C2311yescharacteristic
465C3×C4⋊C8C2311yescharacteristic
466C3×#103C2311yescharacteristic
467C3×#103C2311yescharacteristic
468C3×#103C2311yescharacteristic
469C3×#102C2311yescharacteristic
470C3×#102C2311yescharacteristic
471C3×#102C2311yescharacteristic
472C3×#102C2311yescharacteristic
473C3×#102C2311yescharacteristic
474C3×#102C2311yescharacteristic
475C3×#102C2311yescharacteristic
476C3×C22⋊C8C2311yescharacteristic
477C3×C22⋊C8C2311yescharacteristic
478C3×C4×C8C2311yescharacteristic
479#835C2311yescharacteristic
480#832C2311yescharacteristic
481#832C2311yescharacteristic
482#832C2311yescharacteristic
483#830C2311yescharacteristic
484#830C2311yescharacteristic
485#821C2311yescharacteristic
486#821C2311yescharacteristic
487#821C2311yescharacteristic
488(C2×D3)⋊C8C2311yescharacteristic
489(C2×D3)⋊C8C2311yescharacteristic
490(C2×D3)⋊C8C2311yescharacteristic
491(C2×D3)⋊C8C2311yescharacteristic
492(C2×D3)⋊C8C2311yescharacteristic
493(C2×D3)⋊C8C2311yescharacteristic
494(C2×D3)⋊C8C2311yescharacteristic
495(C2×D3)⋊C8C2311yescharacteristic
496#817C2311yescharacteristic
497#816C2311yescharacteristic
498#816C2311yescharacteristic
499#816C2311yescharacteristic
500#815C2311yescharacteristic
501Dic3⋊C8C2311yescharacteristic
502Dic3⋊C8C2311yescharacteristic
503C8×Dic3C2311yescharacteristic
504#810C2311yescharacteristic
505#810C2311yescharacteristic
506#810C2311yescharacteristic
507#810C2311yescharacteristic
508#810C2311yescharacteristic
509#810C2311yescharacteristic
510#810C2311yescharacteristic
511#809C2311yescharacteristic
512#809C2311yescharacteristic
513#809C2311yescharacteristic
514#809C2311yescharacteristic
515#809C2311yescharacteristic
516#808C2311yescharacteristic
517#808C2311yescharacteristic
518#807C2311yescharacteristic
519#807C2311yescharacteristic
520C4⋊(C3⋊C8)C2311yescharacteristic
521#803C2311yescharacteristic
522C2×2−1+4—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—
530C2×#135—31no—
531C22×SD16—31no—
532#562—61no—
533#560—61no—
534#555C2×D311yescharacteristic, complemented
535#553—31no—
536#552—31no—
537#551—61no—
538#550—31no—
539#550—31no—
540#550—31no—
541#550—31no—
542#550—61no—
543#550—61no—
544#550C2×D311yescharacteristic, complemented
545#548—31no—
546#548—31no—
547#548—31no—
548#548—31no—
549#548—61no—
550#548—61no—
551#547—31no—
552#546—31no—
553#546—31no—
554#546—61no—
555D42—31no—
556#542—31no—
557#540—31no—
558#540—61no—
559#538—61no—
560#537—31no—
561#535—31no—
562#535—31no—
563#535—31no—
564#535—61no—
565#535—61no—
566#535—61no—
567#534—61no—
568#525—31no—
569#525—31no—
570#525—31no—
571#525—61no—
572#525—61no—
573C2×#121—31no—
574#519—31no—
575#496—31no—
576#496—31no—
577#495—31no—
578#493—31no—
579#490—31no—
580#489—31no—
581#488—31no—
582#486C2×D311yescharacteristic, complemented
583#485—31no—
584#485—31no—
585#484—31no—
586#482—31no—
587#482—31no—
588#482—31no—
589#482—31no—
590#482C2×D311yescharacteristic, complemented
591#482C2×D311yescharacteristic, complemented
592#481—31no—
593#481—31no—
594#480—31no—
595#479—31no—
596#479—31no—
597#477C2×D311yescharacteristic, complemented
598#475—31no—
599#470—31no—
600#469—31no—
601#469—31no—
602#469—31no—
603#469—31no—
604#468—31no—
605#468—31no—
606#468—31no—
607#466—31no—
608#466—31no—
609#466—31no—
610#466C2×D311yescharacteristic, complemented
611#466C2×D311yescharacteristic, complemented
612#465—31no—
613#465—31no—
614#465—31no—
615#464—31no—
616#464—31no—
617#464—31no—
618#463—31no—
619#463—31no—
620#463—31no—
621#460—31no—
622#460—31no—
623#460—31no—
624#459—31no—
625#459—31no—
626#459C2×D311yescharacteristic, complemented
627#452—31no—
628#452—31no—
629#452—31no—
630#452—31no—
631#452—31no—
632#451—31no—
633#451—31no—
634#450—31no—
635#450—31no—
636#449—31no—
637#449—31no—
638#449—31no—
639#449—31no—
640#449—31no—
641#449—31no—
642#449—31no—
643#449—31no—
644#449—31no—
645#449—31no—
646#449—31no—
647#449—31no—
648#449—31no—
649#449C2×D311yescharacteristic, complemented
650#449C2×D311yescharacteristic, complemented
651#448—31no—
652#448—31no—
653#448—31no—
654#448—31no—
655#448—31no—
656#448—31no—
657#447—31no—
658#447—31no—
659#447—31no—
660#447—31no—
661#447—31no—
662#447—31no—
663#441—31no—
664#440—31no—
665#440—31no—
666#440—31no—
667C4×Q16—31no—
668C4×SD16—31no—
669C4×SD16—31no—
670C4×SD16C2×D311yescharacteristic, complemented
671#436—31no—
672#436—31no—
673#435—31no—
674#435—31no—
675#435—31no—
676#435—31no—
677C8×D4—31no—
678C8×D4C2×D311yescharacteristic, complemented
679#433—31no—
680#433—31no—
681#419—31no—
682#417—31no—
683#417—31no—
684#417—31no—
685#416—31no—
686#416C2×D311yescharacteristic, complemented
687#416C2×D311yescharacteristic, complemented
688C2×#103—31no—
689#408—31no—
690#408—31no—
691#407—31no—
692C2×C22⋊C8—31no—
693C23×D3—21no—
694C23×D3—21no—
695C23×D3—21no—
696C23×D3C2×D411yescharacteristic
697C3×#41—22no—
698C3×#41—22no—
699C3×#41—41no—
700C3×#41—41no—
701C2×C3×Q8—21no—
702C2×C3×Q8C2411yescharacteristic
703C2×C3×D4—21no—
704C2×C3×D4—21no—
705C2×C3×D4—21no—
706C2×C3×D4—21no—
707C2×C3×D4—21no—
708C2×C3×D4—21no—
709C2×C3×D4—21no—
710C2×C3×D4—21no—
711C2×C3×D4C2×D411yescharacteristic
712C2×C3×D4C2411yescharacteristic
713C2×C3×D4C2411yescharacteristic
714C2×C3×D4C2411yescharacteristic
715C22×C3×C4—21no—
716C22×C3×C4—21no—
717C22×C3×C4—21no—
718C22×C3×C4C2411yescharacteristic
719C22×C3×C4C2411yescharacteristic
720C2×#67—21no—
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—21no—
734C2×#67—21no—
735C2×#67—21no—
736C2×#67—21no—
737C2×#67C2×D411yescharacteristic
738C2×#67C2×D411yescharacteristic
739C2×#67C2×D411yescharacteristic
740C2×#67C2×D411yescharacteristic
741C22×Dic3—21no—
742C22×Dic3—21no—
743C22×Dic3—21no—
744C22×Dic3—21no—
745C22×Dic3—21no—
746C22×Dic3C2×D411yescharacteristic
747#239—22no—
748#239—41no—
749#239—82no—
750D3×Q8—22no—
751D3×Q8—22no—
752D3×Q8—22no—
753D3×Q8—41no—
754#237—22no—
755#237—22no—
756#237—41no—
757#237—41no—
758#237—41no—
759#237—41no—
760#237—41no—
761#237—41no—
762#237—44no—
763#237—44no—
764#237—44no—
765D3×D4—41no—
766D3×D4—41no—
767D3×D4—41no—
768D3×D4—41no—
769D3×D4—44no—
770D3×D4—82no—
771D3×D4—82no—
772#235—22no—
773#235—41no—
774#235—44no—
775#235—41no—
776#235—41no—
777#235—41no—
778#235—41no—
779#235—44no—
780C2×D12—21no—
781C2×D12—21no—
782C2×D12—21no—
783C2×D12—21no—
784C2×D12—21no—
785C2×D12—21no—
786C2×D12—21no—
787C2×D12—21no—
788C2×D12—41no—
789C2×D12—41no—
790C2×D12C2×D411yescharacteristic
791C2×D12C2×D411yescharacteristic
792C2×D12C2411yescharacteristic
793C2×D12C2411yescharacteristic
794C2×D12C2411yescharacteristic
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—21no—
802C2×C4×D3—21no—
803C2×C4×D3—21no—
804C2×C4×D3—41no—
805C2×C4×D3—41no—
806C2×C4×D3—44no—
807C2×C4×D3C2×D411yescharacteristic
808C2×C4×D3C2×D411yescharacteristic
809C2×C4×D3C2411yescharacteristic
810C2×C4×D3C2411yescharacteristic
811C2×C4×D3C2411yescharacteristic
812C2×Dic6—21no—
813C2×Dic6—22no—
814C2×Dic6—21no—
815C2×Dic6—21no—
816C2×Dic6—41no—
817C2×Dic6—44no—
818C2×Dic6C2×D411yescharacteristic
819C2×Dic6C2411yescharacteristic
820C2×Dic6C2411yescharacteristic
821C2×Dic6C2411yescharacteristic
822C3×SD16—22no—
823C3×D8—41no—
824C3×D8—41no—
825C2×C3×C8—41no—
826C2×C3×C8—41no—
827C2×C3×C8C2411yescharacteristic
828C2×C3×C8C2411yescharacteristic
829C2×C3×C8C2411yescharacteristic
830C2×C3×C8C2411yescharacteristic
831C3×C4⋊C4—21no—
832C3×C4⋊C4—21no—
833C3×C4⋊C4C2×D411yescharacteristic
834C3×C4⋊C4C2411yescharacteristic
835C3×C4⋊C4C2411yescharacteristic
836C3×C4⋊C4C2411yescharacteristic
837C3×C4⋊C4C2411yescharacteristic
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×C22⋊C4C2×D411yescharacteristic
846C3×C22⋊C4C2×D411yescharacteristic
847C3×C42—21no—
848C3×C42—21no—
849C3×C42—21no—
850C3×C42C2411yescharacteristic
851#217—21no—
852#217—21no—
853#217—21no—
854#217—21no—
855#217—21no—
856#217—21no—
857#217—21no—
858#217C2×D411yescharacteristic
859#217C2×D411yescharacteristic
860#216—22no—
861#215—22no—
862#215—22no—
863#214—22no—
864#214—41no—
865#214—41no—
866#214—41no—
867#213—41no—
868#213—41no—
869#213—41no—
870#213—41no—
871#213—41no—
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)⋊C4—21no—
889(C2×D3)⋊C4—21no—
890(C2×D3)⋊C4C2×D411yescharacteristic
891(C2×D3)⋊C4C2×D411yescharacteristic
892(C2×D3)⋊C4C2×D411yescharacteristic
893(C2×D3)⋊C4C2×D411yescharacteristic
894(C2×D3)⋊C4C2×D411yescharacteristic
895(C2×D3)⋊C4C2×D411yescharacteristic
896C4⋊Dic3—21no—
897C4⋊Dic3—21no—
898C4⋊Dic3—21no—
899C4⋊Dic3—21no—
900C4⋊Dic3—21no—
901C4⋊Dic3C2×D411yescharacteristic
902C4⋊Dic3C2411yescharacteristic
903C4⋊Dic3C2411yescharacteristic
904Dic3⋊C4—21no—
905Dic3⋊C4—21no—
906Dic3⋊C4—21no—
907Dic3⋊C4—21no—
908Dic3⋊C4—21no—
909Dic3⋊C4—21no—
910Dic3⋊C4—21no—
911Dic3⋊C4—21no—
912Dic3⋊C4C2×D411yescharacteristic
913Dic3⋊C4C2×D411yescharacteristic
914Dic3⋊C4C2×D411yescharacteristic
915Dic3⋊C4C2×D411yescharacteristic
916C4×Dic3—21no—
917C4×Dic3—21no—
918C4×Dic3—21no—
919C4×Dic3—21no—
920C4×Dic3—21no—
921C4×Dic3C2411yescharacteristic
922#208—41no—
923C2×C3⋊C8—41no—
924C2×C3⋊C8C2411yescharacteristic
925C2×C3⋊C8C2411yescharacteristic
926C2×C3⋊C8C2411yescharacteristic
927C2×C3⋊C8C2411yescharacteristic
928Dic12—22no—
929Dic12—41no—
930D24—41no—
931D24—41no—
932#204—22no—
933#204—22no—
934#204—41no—
935#204—41no—
936#204—41no—
937ΓL(1,𝔽25)—41no—
938ΓL(1,𝔽25)—41no—
939ΓL(1,𝔽25)—41no—
940D3×C8—41no—
9412−1+4—122no—
9422−1+4—122no—
943C2×#41—31no—
944C2×#41—31no—
945C2×#41—31no—
946C2×#41—31no—
947C2×#41—31no—
948C2×#41—31no—
949C2×#41—31no—
950C2×#41—31no—
951C2×#41—61no—
952C2×#41—61no—
953C2×#41—61no—
954C2×#41—61no—
955C2×#41—61no—
956C2×#41—61no—
957C2×#41—122no—
958C2×#41—122no—
959C2×#41C22×D311yescharacteristic
960C2×#41C22×D311yescharacteristic
961C22×Q8—31no—
962C22×Q8—31no—
963C22×Q8—31no—
964C22×Q8—61no—
965C22×D4—31no—
966C22×D4—31no—
967C22×D4—31no—
968C22×D4—61no—
969C22×D4—61no—
970C22×D4—61no—
971C23×C4—31no—
972C23×C4—61no—
973#137—122no—
974AGL(1,ℤ/8)—122no—
975AGL(1,ℤ/8)—122no—
976AGL(1,ℤ/8)—122no—
977#135—122no—
978#135—122no—
979#135—122no—
980C2×Q16—31no—
981C2×Q16—31no—
982C2×Q16—31no—
983C2×SD16—31no—
984C2×SD16—31no—
985C2×SD16—31no—
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—122no—
995C2×SD16C22×D311yescharacteristic
996C2×D8—31no—
997C2×D8—31no—
998C2×D8—31no—
999C2×D8—31no—
1000C2×D8—31no—
1001C2×D8—31no—
1002C2×D8—31no—
1003C2×D8C22×D311yescharacteristic
1004C2×D8C22×D311yescharacteristic
1005C2×M16—31no—
1006C2×M16—31no—
1007C2×M16—31no—
1008C2×M16—31no—
1009C22×C8—31no—
1010C22×C8—31no—
1011C22×C8C22×D311yescharacteristic
1012C22×C8C22×D311yescharacteristic
1013C4⋊Q8C22×D311yescharacteristic
1014#127—21no—
1015#127—31no—
1016#127—31no—
1017#127—61no—
1018#127—61no—
1019#127—61no—
1020#127—61no—
1021#127—61no—
1022#127—61no—
1023#127C22×D311yescharacteristic
1024#126—61no—
1025#126—61no—
1026#126—61no—
1027#125—31no—
1028#125—61no—
1029#124—21no—
1030#124—21no—
1031#124—31no—
1032#124—31no—
1033#124—31no—
1034#124—61no—
1035#124—61no—
1036#124—61no—
1037#124—61no—
1038#124—61no—
1039#124—61no—
1040#124—61no—
1041#123—31no—
1042#123—31no—
1043#123—61no—
1044#123—61no—
1045#123—61no—
1046#123—61no—
1047#123—61no—
1048#123—61no—
1049#123—61no—
1050#123—61no—
1051#123—61no—
1052#123—61no—
1053#123—61no—
1054C22⋊Q8—31no—
1055C22⋊Q8—31no—
1056C22⋊Q8—31no—
1057C22⋊Q8—31no—
1058C22⋊Q8—31no—
1059C22⋊Q8—31no—
1060C22⋊Q8—31no—
1061C22⋊Q8—61no—
1062C22⋊Q8—61no—
1063C22⋊Q8—61no—
1064C22⋊Q8—61no—
1065C22⋊Q8—61no—
1066C22⋊Q8—61no—
1067C22⋊Q8—61no—
1068#121—21no—
1069#121—21no—
1070#121—21no—
1071#121—31no—
1072#121—31no—
1073#121—31no—
1074#121—31no—
1075#121—31no—
1076#121—31no—
1077#121—31no—
1078#121—31no—
1079#121—31no—
1080#121—31no—
1081#121—31no—
1082#121—31no—
1083#121—31no—
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#121—61no—
1096#121—61no—
1097#121—61no—
1098#121—61no—
1099#121—61no—
1100#121—61no—
1101#121—61no—
1102#121—61no—
1103#121—61no—
1104#121—61no—
1105#121—61no—
1106#121—61no—
1107#121—61no—
1108#121—61no—
1109#121C22×D311yescharacteristic
1110#121C22×D311yescharacteristic
1111#121C22×D311yescharacteristic
1112#121C22×D311yescharacteristic
1113#120—31no—
1114#120—31no—
1115#120—61no—
1116#120—61no—
1117#120—61no—
1118#120—61no—
1119#120—61no—
1120#120—61no—
1121#120—61no—
1122#120—61no—
1123#120—61no—
1124#120—61no—
1125#120—61no—
1126#120—61no—
1127C4×Q8—31no—
1128C4×Q8—31no—
1129C4×Q8—31no—
1130C4×Q8—31no—
1131C4×Q8—61no—
1132C4×Q8—61no—
1133C4×Q8C22×D311yescharacteristic
1134C4×D4—21no—
1135C4×D4—31no—
1136C4×D4—31no—
1137C4×D4—31no—
1138C4×D4—31no—
1139C4×D4—31no—
1140C4×D4—61no—
1141C4×D4—61no—
1142C4×D4—61no—
1143C4×D4—61no—
1144C4×D4—61no—
1145C4×D4—61no—
1146C4×D4—61no—
1147C4×D4—61no—
1148C4×D4—61no—
1149C4×D4—61no—
1150C4×D4—61no—
1151C4×D4—61no—
1152C4×D4—61no—
1153C4×D4C22×D311yescharacteristic
1154C4×D4C22×D311yescharacteristic
1155#117—21no—
1156#117—31no—
1157#117—31no—
1158#117—61no—
1159#117—61no—
1160#117—61no—
1161#117C22×D311yescharacteristic
1162#117C22×D311yescharacteristic
1163C2×C4⋊C4—31no—
1164C2×C4⋊C4—31no—
1165C2×C22⋊C4—61no—
1166C2×C22⋊C4—61no—
1167C2×C22⋊C4—61no—
1168#107—31no—
1169#107—31no—
1170#107C22×D311yescharacteristic
1171#107C22×D311yescharacteristic
1172#106—31no—
1173#106—31no—
1174#106—31no—
1175#106C22×D311yescharacteristic
1176C4⋊C8—31no—
1177C4⋊C8—31no—
1178C4⋊C8—31no—
1179C4⋊C8C22×D311yescharacteristic
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#103—31no—
1191#103C22×D311yescharacteristic
1192#103C22×D311yescharacteristic
1193#103C22×D311yescharacteristic
1194#102—31no—
1195#102—31no—
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#102C22×D311yescharacteristic
1206#102C22×D311yescharacteristic
1207#102C22×D311yescharacteristic
1208#102C22×D311yescharacteristic
1209#102C22×D311yescharacteristic
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⋊C8—31no—
1221C22⋊C8—31no—
1222C22⋊C8C22×D311yescharacteristic
1223C22⋊C8C22×D311yescharacteristic
1224#97—31no—
1225#97—31no—
1226C4×C8—31no—
1227C4×C8C22×D311yescharacteristic
1228C23×C3—21no—
1229C23×C3—21no—
1230C23×C3—21no—
1231C23×C3C22×D411yescharacteristic
1232C23×C3C22×D411yescharacteristic
1233C22×D3—21no—
1234C22×D3—21no—
1235C22×D3—21no—
1236C22×D3—41no—
1237C22×D3—41no—
1238C22×D3—41no—
1239C22×D3—42no—
1240C22×D3—42no—
1241C22×D3—81no—
1242C22×D3—81no—
1243C22×D3—81no—
1244C22×D3—81no—
1245C22×D3—81no—
1246C22×D3—81no—
1247C22×D3—81no—
1248C22×D3C22×D411yescharacteristic
1249C22×D3C22×D411yescharacteristic
1250C22×D3C22×D411yescharacteristic
1251C3×Q8—21no—
1252C3×Q8—81no—
1253C3×Q8H(5,𝔽2)12yes—
1254C3×D4—21no—
1255C3×D4—21no—
1256C3×D4—21no—
1257C3×D4—21no—
1258C3×D4—21no—
1259C3×D4—21no—
1260C3×D4—41no—
1261C3×D4—42no—
1262C3×D4—42no—
1263C3×D4—81no—
1264C3×D4—81no—
1265C3×D4—81no—
1266C3×D4—81no—
1267C3×D4—81no—
1268C3×D4—81no—
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—42no—
1279C2×C3×C4—42no—
1280C2×C3×C4—81no—
1281C2×C3×C4C22×D411yescharacteristic
1282C2×C3×C4C22×D411yescharacteristic
1283C2×C3×C4C22×D411yescharacteristic
1284C2×C3×C4C22×D411yescharacteristic
1285C2×C3×C4C2511yescharacteristic
1286#67—41no—
1287#67—41no—
1288#67—41no—
1289#67—41no—
1290#67—42no—
1291#67—42no—
1292#67—42no—
1293#67—42no—
1294#67—42no—
1295#67—81no—
1296#67—81no—
1297#67—81no—
1298#67—81no—
1299#67—81no—
1300#67—81no—
1301#67—81no—
1302#67—81no—
1303#67—81no—
1304#67—81no—
1305#67—81no—
1306#67—81no—
1307C2×Dic3—21no—
1308C2×Dic3—21no—
1309C2×Dic3—21no—
1310C2×Dic3—21no—
1311C2×Dic3—21no—
1312C2×Dic3—41no—
1313C2×Dic3—42no—
1314C2×Dic3—42no—
1315C2×Dic3—42no—
1316C2×Dic3—42no—
1317C2×Dic3—81no—
1318C2×Dic3C22×D411yescharacteristic
1319C2×Dic3C22×D411yescharacteristic
1320C2×Dic3C22×D411yescharacteristic
1321C2×Dic3C22×D411yescharacteristic
1322C2×Dic3C22×D411yescharacteristic
1323D12—21no—
1324D12—21no—
1325D12—21no—
1326D12—21no—
1327D12—21no—
1328D12—21no—
1329D12—41no—
1330D12—41no—
1331D12—42no—
1332D12—42no—
1333D12—81no—
1334D12—81no—
1335D12—81no—
1336D12—81no—
1337D12—81no—
1338D12—81no—
1339C4×D3—24no—
1340C4×D3—21no—
1341C4×D3—21no—
1342C4×D3—21no—
1343C4×D3—21no—
1344C4×D3—21no—
1345C4×D3—21no—
1346C4×D3—41no—
1347C4×D3—41no—
1348C4×D3—42no—
1349C4×D3—42no—
1350C4×D3—42no—
1351C4×D3—42no—
1352C4×D3—81no—
1353C4×D3—81no—
1354C4×D3—81no—
1355C4×D3—81no—
1356Dic6—24no—
1357Dic6—21no—
1358Dic6—21no—
1359Dic6—21no—
1360Dic6—21no—
1361Dic6—21no—
1362Dic6—41no—
1363Dic6—42no—
1364Dic6—42no—
1365Dic6H(5,𝔽2)12yes—
1366C3×C8—21no—
1367C3×C8—21no—
1368C3×C8—21no—
1369C3×C8—21no—
1370C3⋊C8—21no—
1371C3⋊C8—21no—
1372C3⋊C8—21no—
1373C3⋊C8—21no—
1374C24—31no—
1375C24—61no—
1376C24—61no—
1377C24—61no—
1378#41—22no—
1379#41—22no—
1380#41—41no—
1381#41—41no—
1382#41—62no—
1383#41—62no—
1384#41—62no—
1385#41—62no—
1386#41—121no—
1387#41—121no—
1388#41—121no—
1389#41—121no—
1390#41—121no—
1391#41—124no—
1392#41—124no—
1393#41—121no—
1394#41—121no—
1395#41—121no—
1396#41—121no—
1397#41—124no—
1398#41—121no—
1399#41—121no—
1400#41—121no—
1401#41—124no—
1402#41—124no—
1403#41—242no—
1404C2×Q8—21no—
1405C2×Q8—31no—
1406C2×Q8—31no—
1407C2×Q8—31no—
1408C2×Q8—31no—
1409C2×Q8—61no—
1410C2×Q8—61no—
1411C2×Q8—62no—
1412C2×Q8—62no—
1413C2×Q8—62no—
1414C2×Q8—61no—
1415C2×Q8—62no—
1416C2×Q8—121no—
1417C2×Q8—124no—
1418C2×Q8—121no—
1419C2×Q8C23×D311yescharacteristic
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—31no—
1429C2×D4—31no—
1430C2×D4—31no—
1431C2×D4—31no—
1432C2×D4—31no—
1433C2×D4—31no—
1434C2×D4—31no—
1435C2×D4—31no—
1436C2×D4—31no—
1437C2×D4—61no—
1438C2×D4—61no—
1439C2×D4—61no—
1440C2×D4—61no—
1441C2×D4—61no—
1442C2×D4—61no—
1443C2×D4—61no—
1444C2×D4—61no—
1445C2×D4—61no—
1446C2×D4—61no—
1447C2×D4—61no—
1448C2×D4—61no—
1449C2×D4—61no—
1450C2×D4—61no—
1451C2×D4—61no—
1452C2×D4—61no—
1453C2×D4—61no—
1454C2×D4—61no—
1455C2×D4—61no—
1456C2×D4—61no—
1457C2×D4—61no—
1458C2×D4—61no—
1459C2×D4—61no—
1460C2×D4—61no—
1461C2×D4—61no—
1462C2×D4—121no—
1463C2×D4—121no—
1464C2×D4—121no—
1465C2×D4—121no—
1466C2×D4—121no—
1467C2×D4—121no—
1468C2×D4—124no—
1469C2×D4—242no—
1470C2×D4—242no—
1471C2×D4D3×D411yescharacteristic
1472C2×D4C23×D311yescharacteristic
1473C2×D4C23×D311yescharacteristic
1474C2×D4C23×D311yescharacteristic
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—21no—
1478C22×C4—31no—
1479C22×C4—31no—
1480C22×C4—31no—
1481C22×C4—31no—
1482C22×C4—31no—
1483C22×C4—31no—
1484C22×C4—61no—
1485C22×C4—61no—
1486C22×C4—61no—
1487C22×C4—61no—
1488C22×C4—61no—
1489C22×C4—61no—
1490C22×C4—61no—
1491C22×C4—61no—
1492C22×C4—61no—
1493C22×C4—61no—
1494C22×C4—61no—
1495C22×C4—61no—
1496C22×C4—61no—
1497C22×C4—61no—
1498C22×C4—121no—
1499C22×C4—121no—
1500C22×C4—124no—
1501C22×C4C23×D311yescharacteristic
1502C22×C4C23×D311yescharacteristic
1503Q16—62no—
1504Q16—62no—
1505Q16—121no—
1506SD16—22no—
1507SD16—62no—
1508SD16—62no—
1509SD16—62no—
1510SD16—62no—
1511SD16—62no—
1512SD16—121no—
1513SD16—121no—
1514SD16—121no—
1515SD16—121no—
1516SD16—121no—
1517SD16—121no—
1518D8—41no—
1519D8—41no—
1520D8—121no—
1521D8—121no—
1522D8—121no—
1523D8—121no—
1524D8—121no—
1525D8—121no—
1526D8—121no—
1527M16—121no—
1528M16—121no—
1529M16—121no—
1530M16—121no—
1531C2×C8—31no—
1532C2×C8—31no—
1533C2×C8—31no—
1534C2×C8—31no—
1535C2×C8—41no—
1536C2×C8—41no—
1537C2×C8—121no—
1538C2×C8—121no—
1539C2×C8C23×D311yescharacteristic
1540C2×C8C23×D311yescharacteristic
1541C2×C8C23×D311yescharacteristic
1542C2×C8C23×D311yescharacteristic
1543C4⋊C4—21no—
1544C4⋊C4—21no—
1545C4⋊C4—31no—
1546C4⋊C4—31no—
1547C4⋊C4—31no—
1548C4⋊C4—31no—
1549C4⋊C4—31no—
1550C4⋊C4—31no—
1551C4⋊C4—31no—
1552C4⋊C4—61no—
1553C4⋊C4—61no—
1554C4⋊C4—61no—
1555C4⋊C4—61no—
1556C4⋊C4—61no—
1557C4⋊C4—61no—
1558C4⋊C4—61no—
1559C4⋊C4—61no—
1560C4⋊C4—61no—
1561C4⋊C4—61no—
1562C4⋊C4—61no—
1563C4⋊C4—61no—
1564C4⋊C4—61no—
1565C4⋊C4D3×D411yescharacteristic
1566C4⋊C4C23×D311yescharacteristic
1567C4⋊C4C23×D311yescharacteristic
1568C4⋊C4C23×D311yescharacteristic
1569C4⋊C4C23×D311yescharacteristic
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—31no—
1578C22⋊C4—31no—
1579C22⋊C4—31no—
1580C22⋊C4—31no—
1581C22⋊C4—31no—
1582C22⋊C4—31no—
1583C22⋊C4—31no—
1584C22⋊C4—31no—
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—
1606C22⋊C4—61no—
1607C22⋊C4—61no—
1608C22⋊C4—61no—
1609C22⋊C4—61no—
1610C22⋊C4D3×D411yescharacteristic
1611C22⋊C4D3×D411yescharacteristic
1612C42—21no—
1613C42—21no—
1614C42—21no—
1615C42—31no—
1616C42—61no—
1617C42—61no—
1618C42—61no—
1619C42—61no—
1620C42—61no—
1621C42C23×D311yescharacteristic
1622C22×C3—21no—
1623C22×C3—21no—
1624C22×C3—21no—
1625C22×C3—21no—
1626C22×C3—21no—
1627C22×C3—21no—
1628C22×C3—41no—
1629C22×C3—41no—
1630C22×C3—41no—
1631C22×C3—41no—
1632C22×C3—41no—
1633C22×C3—41no—
1634C22×C3—41no—
1635C22×C3—41no—
1636C22×C3—41no—
1637C22×C3C23×D411yescharacteristic
1638C2×D3—21no—
1639C2×D3—21no—
1640C2×D3—21no—
1641C2×D3—21no—
1642C2×D3—21no—
1643C2×D3—21no—
1644C2×D3—21no—
1645C2×D3—21no—
1646C2×D3—21no—
1647C2×D3—41no—
1648C2×D3—41no—
1649C2×D3—41no—
1650C2×D3—41no—
1651C2×D3—41no—
1652C2×D3—41no—
1653C2×D3—41no—
1654C2×D3—41no—
1655C2×D3—41no—
1656C2×D3—82no—
1657C2×D3—84no—
1658C2×D3—162no—
1659C2×D3—162no—
1660C3×C4—21no—
1661C3×C4—21no—
1662C3×C4—22no—
1663C3×C4—21no—
1664C3×C4—21no—
1665C3×C4—41no—
1666C3×C4—41no—
1667C3×C4—41no—
1668C3×C4—41no—
1669C3×C4C2×H(5,𝔽2)11yescharacteristic
1670C3×C4C2×H(5,𝔽2)11yescharacteristic
1671Dic3—21no—
1672Dic3—21no—
1673Dic3—21no—
1674Dic3—22no—
1675Dic3—21no—
1676Dic3—21no—
1677Dic3—41no—
1678Dic3—41no—
1679Dic3—41no—
1680Dic3—41no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—31no—
1685C23—31no—
1686C23—31no—
1687C23—61no—
1688C23—61no—
1689C23—61no—
1690C23—121no—
1691C23—121no—
1692C23—121no—
1693C23—122no—
1694C23—122no—
1695C23—241no—
1696C23—241no—
1697C23—241no—
1698C23—241no—
1699C23—241no—
1700C23—241no—
1701C23—241no—
1702C23C2×D3×D411yescharacteristic
1703C23C2×D3×D411yescharacteristic
1704Q8—21no—
1705Q8—32no—
1706Q8—64no—
1707Q8—61no—
1708Q8—61no—
1709Q8—61no—
1710Q8—61no—
1711Q8—61no—
1712Q8—81no—
1713Q8—121no—
1714Q8—122no—
1715Q8—122no—
1716Q8#100912yes—
1717D4—21no—
1718D4—21no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—41no—
1724D4—42no—
1725D4—42no—
1726D4—61no—
1727D4—61no—
1728D4—61no—
1729D4—61no—
1730D4—61no—
1731D4—61no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—121no—
1739D4—121no—
1740D4—122no—
1741D4—122no—
1742D4—121no—
1743D4—121no—
1744D4—121no—
1745D4—121no—
1746D4—122no—
1747D4—122no—
1748D4—122no—
1749D4—122no—
1750D4—122no—
1751D4—241no—
1752D4—241no—
1753D4—241no—
1754D4—241no—
1755D4—241no—
1756D4—241no—
1757D4—241no—
1758D4—241no—
1759D4—241no—
1760D4—241no—
1761D4—241no—
1762D4—241no—
1763D4—241no—
1764D4—241no—
1765D4—241no—
1766D4—241no—
1767D4—241no—
1768D4—241no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—31no—
1779C2×C4—31no—
1780C2×C4—31no—
1781C2×C4—31no—
1782C2×C4—31no—
1783C2×C4—42no—
1784C2×C4—42no—
1785C2×C4—64no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—61no—
1791C2×C4—61no—
1792C2×C4—61no—
1793C2×C4—61no—
1794C2×C4—61no—
1795C2×C4—61no—
1796C2×C4—61no—
1797C2×C4—81no—
1798C2×C4—121no—
1799C2×C4—121no—
1800C2×C4—122no—
1801C2×C4—122no—
1802C2×C4—122no—
1803C2×C4—122no—
1804C2×C4—121no—
1805C2×C4—122no—
1806C2×C4—122no—
1807C2×C4—122no—
1808C2×C4—122no—
1809C2×C4—241no—
1810C2×C4—241no—
1811C2×C4—241no—
1812C2×C4—241no—
1813C2×C4—241no—
1814C2×C4C2×D3×D411yescharacteristic
1815C2×C4C2×D3×D411yescharacteristic
1816C2×C4C2×D3×D411yescharacteristic
1817C2×C4C2×D3×D411yescharacteristic
1818C2×C4C24×D311yescharacteristic
1819C8—21no—
1820C8—21no—
1821C8—21no—
1822C8—21no—
1823C8—61no—
1824C8—61no—
1825C8—61no—
1826C8—61no—
1827C2×C3—41no—
1828C2×C3—41no—
1829C2×C3—81no—
1830C2×C3—81no—
1831C2×C3—81no—
1832C2×C3#348411yescharacteristic
1833C2×C3#358411yescharacteristic
1834C2×C3#358511yescharacteristic
1835D3—41no—
1836D3—41no—
1837D3—41no—
1838D3—81no—
1839D3—81no—
1840D3—81no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—61no—
1857C22—61no—
1858C22—61no—
1859C22—61no—
1860C22—61no—
1861C22—61no—
1862C22—61no—
1863C22—61no—
1864C22—61no—
1865C22—121no—
1866C22—121no—
1867C22—121no—
1868C22—121no—
1869C22—121no—
1870C22—121no—
1871C22—121no—
1872C22—121no—
1873C22—121no—
1874C22—242no—
1875C22—244no—
1876C22—482no—
1877C22—482no—
1878C22C22×D3×D411yescharacteristic
1879C4—21no—
1880C4—21no—
1881C4—22no—
1882C4—21no—
1883C4—21no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—61no—
1889C4—61no—
1890C4—61no—
1891C4—62no—
1892C4—61no—
1893C4—61no—
1894C4—121no—
1895C4—121no—
1896C4—121no—
1897C4—121no—
1898C4C2×#100911yescharacteristic
1899C4D3×H(5,𝔽2)11yescharacteristic
1900C3#6161611yescharacteristic, complemented, Sylow
1901C2—41no—
1902C2—41no—
1903C2—81no—
1904C2—81no—
1905C2—81no—
1906C2—121no—
1907C2—121no—
1908C2—121no—
1909C2—241no—
1910C2—241no—
1911C2—241no—
1912C2#8666211yescharacteristic
1913C2#8718711yescharacteristic
1914C2#8720411yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3305C2
socleC22×C3C23×D4
hypercenter#3305D3
hypocenterC3#61616
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3305

Complements

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

NH ≅ G/Ntype
1. #86966C2semidirect
2. #86783C2semidirect
3. C3×#3305C2semidirect
4. #83656C2semidirect
5. #83577C2semidirect
6. #81582C2semidirect
7. #81570C2semidirect
8. #81411C2semidirect
9. #81408C2semidirect
10. #81400C2semidirect
11. #81398C2semidirect
12. #81121C2semidirect
13. #81096C2semidirect
14. #80735C2semidirect
15. #80727C2semidirect
16. #80722C2semidirect
17. #80720C2semidirect
18. #80348C2semidirect
19. #80340C2semidirect
20. #80129C2semidirect
21. #80125C2semidirect
22. #80088C2semidirect
23. #80084C2semidirect
24. #79671C2semidirect
25. #79661C2semidirect
26. #79435C2semidirect
27. #79428C2semidirect
28. #78858C2semidirect
29. #78848C2semidirect
30. #78836C2semidirect
31. #78833C2semidirect
33. C2×#1010C22semidirect
34. C2×D3×#41C22semidirect
35. C3×#555C22semidirect
36. C3×#550C22semidirect
38. #5831C22semidirect
39. C2×#950C22semidirect
40. C2×#949C22semidirect
41. C2×#915C22semidirect
43. C2×#912C22semidirect
45. C2×#904C22semidirect
46. C22×#204C22semidirect
48. #5726C22semidirect
50. #5718C22semidirect
52. #5715C22semidirect
58. #5609C22semidirect
61. #5607C22semidirect
63. #5606C22semidirect
67. #5599C22semidirect
68. #5599C22semidirect
71. #5576C22semidirect
72. #5572C22semidirect
74. #5554C22semidirect
76. #5552C22semidirect
77. #5550C22semidirect
81. #5530C22semidirect
82. #5529C22semidirect
86. C3×#486C22semidirect
87. C3×#482C22semidirect
88. C3×#482C22semidirect
89. C3×#477C22semidirect
90. C3×#466C22semidirect
91. C3×#466C22semidirect
92. C3×#459C22semidirect
93. C3×#449C22semidirect
94. C3×#449C22semidirect
95. C3×C4×SD16C22semidirect
96. C3×C8×D4C22semidirect
97. C3×#416C22semidirect
98. C3×#416C22semidirect
99. #5239C22semidirect
101. #5170C22semidirect
102. #5163C22semidirect
103. #5158C22semidirect
104. #5158C22semidirect
105. #5156C22semidirect
106. #5156C22semidirect
107. #5154C22semidirect
108. #5151C22semidirect
109. #5114C22semidirect
110. #5114C22semidirect
111. #5111C22semidirect
112. #5110C22semidirect
113. C8×#67C22semidirect
114. C2×(C2×D3)⋊C8C22semidirect
115. #5094C22semidirect
116. #5089C22semidirect
117. #5074C22semidirect
118. #5072C22semidirect
119. #5042C22semidirect
120. #5041C22semidirect
121. #5040C22semidirect
122. #5039C22semidirect
123. #5038C22semidirect
124. #5037C22semidirect
125. #5037C22semidirect
126. #5036C22semidirect
127. #5028C22semidirect
128. #5026C22semidirect
129. #5018C22semidirect
130. #5016C22semidirect
131. #5011C22semidirect
132. #5004C22semidirect
133. #5003C22semidirect
134. #5002C22semidirect
135. #4996C22semidirect
136. #4889C22semidirect
137. #4888C22semidirect
138. #4886C22semidirect
140. #4884C22semidirect
141. #4883C22semidirect
142. #4882C22semidirect
143. #4873C22semidirect
144. #4867C22semidirect
145. #4866C22semidirect
146. #4865C22semidirect
147. #4857C22semidirect
148. #4845C22semidirect
149. #4844C22semidirect
150. #4840C22semidirect
151. #4836C22semidirect
153. #4809C22semidirect
154. #4808C22semidirect
156. #4806C22semidirect
157. #4806C22semidirect
158. #4806C22semidirect
159. #4803C22semidirect
160. D3×#103C22semidirect
161. #4799C22semidirect
162. #4789C22semidirect
163. #4788C22semidirect
164. #4787C22semidirect
165. #4786C22semidirect
166. #4783C22semidirect
167. #4783C22semidirect
168. #4782C22semidirect
169. #4782C22semidirect
172. #4781C22semidirect
173. #4781C22semidirect
174. #4781C22semidirect
175. #4781C22semidirect
176. #4780C22semidirect
177. #4779C22semidirect
178. #4777C22semidirect
179. #4777C22semidirect
180. #4776C22semidirect
181. #4776C22semidirect
182. #4775C22semidirect
184. #4773C22semidirect
185. #4771C22semidirect
186. #4771C22semidirect
187. #4768C22semidirect
188. #4767C22semidirect
189. #4764C22semidirect
190. #4762C22semidirect
191. #4762C22semidirect
192. #4739C22semidirect
194. #4733C22semidirect
195. #4732C22semidirect
196. #4730C22semidirect
197. #4729C22semidirect
198. #4727C22semidirect
199. #4726C22semidirect
200. #4696C22semidirect
201. C4×#204C22semidirect
202. #4690C22semidirect
203. #4688C22semidirect
212. #3305D3semidirect
534. #555C2×D3semidirect
544. #550C2×D3semidirect
582. #486C2×D3semidirect
590. #482C2×D3semidirect
591. #482C2×D3semidirect
597. #477C2×D3semidirect
610. #466C2×D3semidirect
611. #466C2×D3semidirect
626. #459C2×D3semidirect
649. #449C2×D3semidirect
650. #449C2×D3semidirect
670. C4×SD16C2×D3semidirect
678. C8×D4C2×D3semidirect
686. #416C2×D3semidirect
687. #416C2×D3semidirect
1900. C3#61616semidirect

Maximal subgroups

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

subgroupindex
#869662
#867832
C3×#33052
#836562
#835772
#815822
#815702
#814112
#814082
#814002
#813982
#811212
#810962
#807352
#807272
#807222
#807202
#803482
#803402
#801292
#801252
#800882
#800842
#796712
#796612
#794352
#794282
#788582
#788482
#788362
#788332
#616163