Finite Group Databasebeta

← #11701629

Subgroups — #11701629

Order 768.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86729C211yesmaximal, characteristic, complemented
2#86692C211yesmaximal, characteristic, complemented
3C3×#3308C211yesmaximal, characteristic, complemented
4#83541C211yesmaximal, characteristic, complemented
5#83527C211yesmaximal, characteristic, complemented
6#81681C211yesmaximal, characteristic, complemented
7#81675C211yesmaximal, characteristic, complemented
8#81475C211yesmaximal, characteristic, complemented
9#81458C211yesmaximal, characteristic, complemented
10#81307C211yesmaximal, characteristic, complemented
11#81279C211yesmaximal, characteristic, complemented
12#81138C211yesmaximal, characteristic, complemented
13#81117C211yesmaximal, characteristic, complemented
14#80820C211yesmaximal, characteristic, complemented
15#80785C211yesmaximal, characteristic, complemented
16#80737C211yesmaximal, characteristic, complemented
17#80698C211yesmaximal, characteristic, complemented
18#80547C211yesmaximal, characteristic, complemented
19#80517C211yesmaximal, characteristic, complemented
20#80116C211yesmaximal, characteristic, complemented
21#80077C211yesmaximal, characteristic, complemented
22#80059C211yesmaximal, characteristic, complemented
23#80056C211yesmaximal, characteristic, complemented
24#79768C211yesmaximal, characteristic, complemented
25#79755C211yesmaximal, characteristic, complemented
26#79504C211yesmaximal, characteristic, complemented
27#79459C211yesmaximal, characteristic, complemented
28#78899C211yesmaximal, characteristic, complemented
29#78878C211yesmaximal, characteristic, complemented
30#78806C211yesmaximal, characteristic, complemented
31#78785C211yesmaximal, characteristic, complemented
32#62619—31nomaximal, Sylow
33C3×#548C2211yescharacteristic
34C3×#547C2211yescharacteristic
35#5832C2211yescharacteristic
36#5825—21no—
37#5824—21no—
38#5824C2211yescharacteristic
39#5816C2211yescharacteristic
40Q8×#67C2211yescharacteristic
41#5729C2211yescharacteristic
42#5722C2211yescharacteristic
43#5684—21no—
44#5681C2211yescharacteristic
45#5675C2211yescharacteristic
46#5669—21no—
47#5662—21no—
48#5651—21no—
49#5650—21no—
50#5648—21no—
51#5646—21no—
52#5638—21no—
53#5636—21no—
54#5633C2211yescharacteristic
55#5623—21no—
56#5622C2211yescharacteristic
57#5621—21no—
58#5616C2211yescharacteristic
59#5615—21no—
60#5611C2211yescharacteristic
61#5603C2211yescharacteristic
62#5603C2211yescharacteristic
63#5600C2211yescharacteristic
64#5599C2211yescharacteristic
65#5582C2211yescharacteristic
66#5567C2211yescharacteristic
67#5564—21no—
68#5561C2211yescharacteristic
69#5559—21no—
70#5551C2211yescharacteristic
71#5541C2211yescharacteristic
72#5539C2211yescharacteristic
73#5538C2211yescharacteristic
74#5513C2211yescharacteristic
75#5511C2211yescharacteristic
76#5500C2211yescharacteristic
77C2×#888C2211yescharacteristic
78C3×#489C2211yescharacteristic
79C3×#484C2211yescharacteristic
80C3×#480C2211yescharacteristic
81C3×#477C2211yescharacteristic
82C3×#468C2211yescharacteristic
83C3×#466C2211yescharacteristic
84C3×#463C2211yescharacteristic
85C3×#449C2211yescharacteristic
86C3×#448C2211yescharacteristic
87C3×#440C2211yescharacteristic
88C3×#435C2211yescharacteristic
89C3×#417C2211yescharacteristic
90C2×C3×#103C2211yescharacteristic
91#5239C2211yescharacteristic
92#5232C2211yescharacteristic
93#5228C2211yescharacteristic
94#5225C2211yescharacteristic
95#5174C2211yescharacteristic
96#5170C2211yescharacteristic
97#5168C2211yescharacteristic
98#5167C2211yescharacteristic
99#5165C2211yescharacteristic
100#5162C2211yescharacteristic
101#5162C2211yescharacteristic
102Dic3×SD16C2211yescharacteristic
103#5158C2211yescharacteristic
104#5155C2211yescharacteristic
105#5150C2211yescharacteristic
106Dic3×D8C2211yescharacteristic
107#5137C2211yescharacteristic
108#5133C2211yescharacteristic
109#5127C2211yescharacteristic
110Dic3×M16C2211yescharacteristic
111#5116C2211yescharacteristic
112#5113C2211yescharacteristic
113C8×#67C2211yescharacteristic
114#5101C2211yescharacteristic
115#5093C2211yescharacteristic
116#5087C2211yescharacteristic
117#5056C2211yescharacteristic
118#5054C2211yescharacteristic
119#5052C2211yescharacteristic
120#5044C2211yescharacteristic
121#5042C2211yescharacteristic
122#5042C2211yescharacteristic
123#5042C2211yescharacteristic
124#5037C2211yescharacteristic
125#5037C2211yescharacteristic
126#5035C2211yescharacteristic
127C4×#216C2211yescharacteristic
128#5022C2211yescharacteristic
129#5019C2211yescharacteristic
130C4×#213C2211yescharacteristic
131#5012C2211yescharacteristic
132#4970C2211yescharacteristic
133#4970C2211yescharacteristic
134#4966C2211yescharacteristic
135#4966C2211yescharacteristic
136#4886C2211yescharacteristic
137#4885C2211yescharacteristic
138#4882C2211yescharacteristic
139#4877C2211yescharacteristic
140#4876C2211yescharacteristic
141#4875C2211yescharacteristic
142#4875C2211yescharacteristic
143#4875C2211yescharacteristic
144#4874C2211yescharacteristic
145#4874C2211yescharacteristic
146#4873C2211yescharacteristic
147#4873C2211yescharacteristic
148#4849C2211yescharacteristic
149#4847C2211yescharacteristic
150#4840C2211yescharacteristic
151#4830C2211yescharacteristic
152#4815C2211yescharacteristic
153#4813C2211yescharacteristic
154#4811C2211yescharacteristic
155#4809C2211yescharacteristic
156#4802C2211yescharacteristic
157D3×#103C2211yescharacteristic
158#4800C2211yescharacteristic
159#4800C2211yescharacteristic
160#4798C2211yescharacteristic
161#4797C2211yescharacteristic
162#4797C2211yescharacteristic
163#4795C2211yescharacteristic
164#4795C2211yescharacteristic
165#4794C2211yescharacteristic
166#4794C2211yescharacteristic
167#4794C2211yescharacteristic
168#4793C2211yescharacteristic
169#4793C2211yescharacteristic
170#4792C2211yescharacteristic
171#4792C2211yescharacteristic
172#4792C2211yescharacteristic
173#4792C2211yescharacteristic
174#4792C2211yescharacteristic
175#4790C2211yescharacteristic
176#4783C2211yescharacteristic
177#4775C2211yescharacteristic
178#4772C2211yescharacteristic
179#4771C2211yescharacteristic
180#4768C2211yescharacteristic
181#4765C2211yescharacteristic
182#4765C2211yescharacteristic
183#4765C2211yescharacteristic
184#4763C2211yescharacteristic
185#4762C2211yescharacteristic
186#4760C2211yescharacteristic
187#4760C2211yescharacteristic
188#4759C2211yescharacteristic
189#4758C2211yescharacteristic
190#4757C2211yescharacteristic
191#4757C2211yescharacteristic
192#4733C2211yescharacteristic
193#4733C2211yescharacteristic
194#4729C2211yescharacteristic
195#4729C2211yescharacteristic
196#4723C2211yescharacteristic
197#4722C2211yescharacteristic
198#4720C2211yescharacteristic
199#4718C2211yescharacteristic
200#4710C2211yescharacteristic
201#4708C2211yescharacteristic
202#4703C2211yescharacteristic
203#4701C2211yescharacteristic
204#3554—31no—
205#3544—31no—
206#3375—31no—
207#3372—31no—
208#3363—31no—
209#3361—31no—
210#3333—31no—
211#3330—31no—
212#3330—31no—
213#3329—31no—
214#3327—31no—
215#3327—31no—
216#3315—31no—
217#3315—31no—
218#3308—31no—
219#3308D311yescharacteristic, complemented
220#3305—31no—
221#3299—31no—
222#3243—31no—
223#3243—31no—
224#3230—31no—
225#3225—31no—
226#3225—31no—
227#3212—31no—
228#3175—31no—
229#3175—31no—
230#3172—31no—
231#3141—31no—
232#3137—31no—
233#3137—31no—
234#2969—31no—
235C2×C3×#41—21no—
236C2×C3×#41C2311yescharacteristic
237C22×C3×Q8C2311yescharacteristic
238C2×D3×Q8C2311yescharacteristic
239C2×#237—21no—
240C2×#237C2311yescharacteristic
241C2×#235C2311yescharacteristic
242C2×#235C2311yescharacteristic
243C22×Dic6—21no—
244C2×C3×SD16C2311yescharacteristic
245C2×C3×SD16C2311yescharacteristic
246C2×C3×D8C2311yescharacteristic
247C2×C3×M16C2311yescharacteristic
248C22×C3×C8C2311yescharacteristic
249C3×C4⋊Q8C2311yescharacteristic
250C3×#124—21no—
251C3×#124C2311yescharacteristic
252C3×#123—21no—
253C3×#123—21no—
254C3×C22⋊Q8—21no—
255C3×C22⋊Q8—21no—
256C3×C22⋊Q8C2311yescharacteristic
257C3×#121—21no—
258C3×#121C2311yescharacteristic
259C3×#121C2311yescharacteristic
260C3×#121C2311yescharacteristic
261C3×C4×Q8C2311yescharacteristic
262C3×C4×D4—21no—
263C3×C4×D4C2311yescharacteristic
264C3×C4×D4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267#947C2311yescharacteristic
268#947C2311yescharacteristic
269#946—21no—
270#946—21no—
271#946—21no—
272#946—21no—
273#946C2311yescharacteristic
274Q8×Dic3C2311yescharacteristic
275#944—21no—
276#944—21no—
277#944—21no—
278#944—21no—
279#944C2311yescharacteristic
280#944C2311yescharacteristic
281#944C2311yescharacteristic
282C2×#216C2311yescharacteristic
283C2×#216C2311yescharacteristic
284#940—21no—
285#940C2311yescharacteristic
286#939—21no—
287#939—21no—
288#939—21no—
289#939—21no—
290#939—21no—
291#939D411yescharacteristic
292#938—21no—
293#938C2311yescharacteristic
294#936—21no—
295#936—21no—
296#936—21no—
297#936C2311yescharacteristic
298#936C2311yescharacteristic
299#935—21no—
300#935—21no—
301#935—21no—
302#935—21no—
303#935—21no—
304#935—21no—
305#935D411yescharacteristic
306D4×Dic3—21no—
307D4×Dic3C2311yescharacteristic
308D4×Dic3C2311yescharacteristic
309D4×Dic3C2311yescharacteristic
310C2×#214C2311yescharacteristic
311C2×#214C2311yescharacteristic
312C2×#214C2311yescharacteristic
313C2×#213C2311yescharacteristic
314#929—21no—
315#929—21no—
316#929—21no—
317#929—21no—
318#929—21no—
319C4×#67—21no—
320C4×#67—21no—
321C4×#67—21no—
322C4×#67—21no—
323C4×#67C2311yescharacteristic
324C4×#67C2311yescharacteristic
325#926—21no—
326#926C2311yescharacteristic
327#926C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329#924—21no—
330#924—21no—
331#924—21no—
332#924—21no—
333#924—21no—
334#924—21no—
335#924C2311yescharacteristic
336#924C2311yescharacteristic
337#924C2311yescharacteristic
338#924C2311yescharacteristic
339C2×Dic3⋊C4—21no—
340C2×Dic3⋊C4—21no—
341C2×Dic3⋊C4—21no—
342C2×C4×Dic3C2311yescharacteristic
343C2×#208C2311yescharacteristic
344C2×#208C2311yescharacteristic
345C2×Dic12C2311yescharacteristic
346C2×Dic12C2311yescharacteristic
347C2×#204C2311yescharacteristic
348C2×ΓL(1,𝔽25)C2311yescharacteristic
349C2×D3×C8C2311yescharacteristic
350#898—21no—
351#898D411yescharacteristic
352#897C2311yescharacteristic
353#896—21no—
354#896—21no—
355#896—21no—
356#896—21no—
357#895C2311yescharacteristic
358#894—21no—
359#893—21no—
360#892C2311yescharacteristic
361D3×C4⋊C4—21no—
362D3×C4⋊C4C2311yescharacteristic
363#890—21no—
364#890C2311yescharacteristic
365#890C2311yescharacteristic
366#889—21no—
367#889—21no—
368#889—21no—
369#889—21no—
370#889—21no—
371#889—21no—
372#889—21no—
373#889D411yescharacteristic
374#888—21no—
375#888—21no—
376#888—21no—
377#888—21no—
378#888C2311yescharacteristic
379#888C2311yescharacteristic
380#888C2311yescharacteristic
381#888C2311yescharacteristic
382#888C2311yescharacteristic
383#888C2311yescharacteristic
384#887—21no—
385#887—21no—
386#887C2311yescharacteristic
387#887C2311yescharacteristic
388#887C2311yescharacteristic
389#887C2311yescharacteristic
390#886—21no—
391#886D411yescharacteristic
392#885—21no—
393#885—21no—
394#885—21no—
395#885—21no—
396#885D411yescharacteristic
397#884—21no—
398#884—21no—
399#883—21no—
400#883—21no—
401#883—21no—
402#883—21no—
403#883—21no—
404#883—21no—
405#67⋊C4—21no—
406#67⋊C4—21no—
407#879—21no—
408#879—21no—
409#879—21no—
410#879—21no—
411#879—21no—
412#879D411yescharacteristic
413#878—21no—
414#878—21no—
415#878—21no—
416#878—21no—
417#878—21no—
418#878—21no—
419#878—21no—
420#878—21no—
421#878D411yescharacteristic
422#877—21no—
423#877—21no—
424#877—21no—
425#877—21no—
426#876—21no—
427#875—21no—
428C4×D12C2311yescharacteristic
429#872C2311yescharacteristic
430#870—21no—
431#870C2311yescharacteristic
432#869C2311yescharacteristic
433C4×Dic6—21no—
434C4×Dic6C2311yescharacteristic
435C4×Dic6C2311yescharacteristic
436C3×#107C2311yescharacteristic
437C3×#107C2311yescharacteristic
438C3×#107C2311yescharacteristic
439C3×C4⋊C8C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#103C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#102C2311yescharacteristic
447C3×#102C2311yescharacteristic
448C3×#102C2311yescharacteristic
449C3×#102C2311yescharacteristic
450C3×C22⋊C8C2311yescharacteristic
451C3×C22⋊C8C2311yescharacteristic
452C3×#97C2311yescharacteristic
453#835C2311yescharacteristic
454#835C2311yescharacteristic
455#835C2311yescharacteristic
456#835C2311yescharacteristic
457#835C2311yescharacteristic
458#835C2311yescharacteristic
459#832C2311yescharacteristic
460#832C2311yescharacteristic
461#832C2311yescharacteristic
462#832C2311yescharacteristic
463#830C2311yescharacteristic
464#830C2311yescharacteristic
465#821C2311yescharacteristic
466#821C2311yescharacteristic
467#821C2311yescharacteristic
468(C2×D3)⋊C8C2311yescharacteristic
469(C2×D3)⋊C8C2311yescharacteristic
470#818C2311yescharacteristic
471#818C2311yescharacteristic
472#817C2311yescharacteristic
473#816C2311yescharacteristic
474#816C2311yescharacteristic
475#816C2311yescharacteristic
476#816C2311yescharacteristic
477#816C2311yescharacteristic
478#816C2311yescharacteristic
479#816C2311yescharacteristic
480#815C2311yescharacteristic
481#815C2311yescharacteristic
482#815C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487C8×Dic3C2311yescharacteristic
488C8×Dic3C2311yescharacteristic
489C8×Dic3C2311yescharacteristic
490C8×Dic3C2311yescharacteristic
491C8×Dic3C2311yescharacteristic
492#810C2311yescharacteristic
493#810C2311yescharacteristic
494#810C2311yescharacteristic
495#810C2311yescharacteristic
496#810C2311yescharacteristic
497#810C2311yescharacteristic
498#810C2311yescharacteristic
499#809C2311yescharacteristic
500#809C2311yescharacteristic
501#809C2311yescharacteristic
502#808C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506#807C2311yescharacteristic
507#807C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509C4×C3⋊C8C2311yescharacteristic
510#563—61no—
511#563—61no—
512#562—61no—
513#562—61no—
514#559—31no—
515#559—61no—
516Q82—31no—
517#557—31no—
518#555—31no—
519#554—31no—
520#554—31no—
521#554—61no—
522#552—31no—
523#552—31no—
524#552—61no—
525#550—31no—
526D4×Q8—31no—
527#548—31no—
528#548C2×D311yescharacteristic
529#547—31no—
530#547—31no—
531#547—31no—
532#547—61no—
533#547C2×D311yescharacteristic
534#544—31no—
535#544—31no—
536#544—61no—
537#542—31no—
538#542—31no—
539#542—31no—
540#542—31no—
541#542—61no—
542#542—61no—
543#540—61no—
544#539—61no—
545#539—61no—
546#536—31no—
547#536—31no—
548#536—61no—
549#536—61no—
550#533—31no—
551#532—31no—
552C2×C4⋊Q8—31no—
553#529—31no—
554#529—31no—
555#501—31no—
556#500—31no—
557#500—31no—
558#497—31no—
559#495—31no—
560#495—31no—
561#491—31no—
562#491—31no—
563#491—31no—
564#489—31no—
565#489—31no—
566#489—31no—
567#489—31no—
568#489—31no—
569#489—31no—
570#489C2×D311yescharacteristic
571#488—31no—
572#488—31no—
573#488—31no—
574#488—31no—
575#487—31no—
576#487—31no—
577#487—31no—
578#487—31no—
579#487—31no—
580#487—31no—
581#486—31no—
582#486—31no—
583#485—31no—
584#485—31no—
585#484—31no—
586#484—31no—
587#484—31no—
588#484—31no—
589#484—31no—
590#484C2×D311yescharacteristic
591#482—31no—
592#482—31no—
593#480—31no—
594#480C2×D311yescharacteristic
595#479—31no—
596#479—31no—
597#478—31no—
598#478—31no—
599#477—31no—
600#477—31no—
601#477—31no—
602#477—31no—
603#477—31no—
604#477C2×D311yescharacteristic
605#474—31no—
606#474—31no—
607#470—31no—
608#470—31no—
609#468—31no—
610#468—31no—
611#468—31no—
612#468—31no—
613#468—31no—
614#468C2×D311yescharacteristic
615#467—31no—
616#467—31no—
617#466—31no—
618#466C2×D311yescharacteristic
619#464—31no—
620#464—31no—
621#463—31no—
622#463C2×D311yescharacteristic
623#462—31no—
624#462—31no—
625#462—31no—
626#461—31no—
627#461—31no—
628#461—31no—
629#460—31no—
630#459—31no—
631#452—31no—
632#452—31no—
633#452—31no—
634#452—31no—
635#451—31no—
636#451—31no—
637#449—31no—
638#449—31no—
639#449—31no—
640#449C2×D311yescharacteristic
641#448—31no—
642#448C2×D311yescharacteristic
643#446—31no—
644C8×Q8—31no—
645#440—31no—
646#440—31no—
647#440—31no—
648#440C2×D311yescharacteristic
649C4×Q16—31no—
650C4×Q16—31no—
651C4×Q16—31no—
652C4×Q16—31no—
653C4×SD16—31no—
654C4×SD16—31no—
655C4×D8—31no—
656C4×D8—31no—
657#436—31no—
658#436—31no—
659#436—31no—
660#435—31no—
661#435C2×D311yescharacteristic
662C8×D4—31no—
663#433—31no—
664#433—31no—
665#431—31no—
666#419—31no—
667#419—31no—
668#417—31no—
669#417—31no—
670#417—31no—
671#417—31no—
672#417—31no—
673#417C2×D311yescharacteristic
674#416—31no—
675#416—31no—
676C2×#103—31no—
677C2×#103C2×D311yescharacteristic
678#405—31no—
679#405—31no—
680C4×M16—31no—
681C3×#41—41no—
682C3×#41—41no—
683C3×#41—82no—
684C2×C3×Q8—21no—
685C2×C3×Q8—21no—
686C2×C3×Q8—41no—
687C2×C3×Q8—41no—
688C2×C3×Q8C2411yescharacteristic
689C2×C3×Q8C2411yescharacteristic
690C2×C3×D4—21no—
691C2×C3×D4—21no—
692C2×C3×D4—21no—
693C2×C3×D4—21no—
694C2×C3×D4C2×D411yescharacteristic
695C2×C3×D4C2411yescharacteristic
696C2×C3×D4C2411yescharacteristic
697C22×C3×C4—21no—
698C22×C3×C4—21no—
699C22×C3×C4—21no—
700C22×C3×C4—21no—
701C22×C3×C4—21no—
702C22×C3×C4C2411yescharacteristic
703C22×C3×C4C2411yescharacteristic
704C2×#67—21no—
705C2×#67—21no—
706C2×#67—21no—
707C2×#67—21no—
708C2×#67—21no—
709C2×#67—21no—
710C2×#67C2×D411yescharacteristic
711C2×#67C2×D411yescharacteristic
712C22×Dic3—21no—
713C22×Dic3—21no—
714C22×Dic3—21no—
715C22×Dic3—21no—
716C22×Dic3—21no—
717C22×Dic3C2×D411yescharacteristic
718C22×Dic3C2×D411yescharacteristic
719D3×Q8—41no—
720D3×Q8—41no—
721#237—41no—
722#237—41no—
723#237—82no—
724#235—41no—
725#235—41no—
726#235—41no—
727#235—41no—
728C2×D12—21no—
729C2×D12C2411yescharacteristic
730C2×C4×D3—21no—
731C2×C4×D3—21no—
732C2×C4×D3—21no—
733C2×C4×D3—21no—
734C2×C4×D3—21no—
735C2×C4×D3C2411yescharacteristic
736C2×Dic6—21no—
737C2×Dic6—21no—
738C2×Dic6—21no—
739C2×Dic6—21no—
740C2×Dic6—21no—
741C2×Dic6—21no—
742C2×Dic6—21no—
743C2×Dic6—82no—
744C2×Dic6C2×D411yescharacteristic
745C2×Dic6C2411yescharacteristic
746C2×Dic6C2411yescharacteristic
747C2×Dic6C2411yescharacteristic
748C3×SD16—41no—
749C3×SD16—41no—
750C3×D8—41no—
751C3×M16—41no—
752C2×C3×C8—41no—
753C2×C3×C8C2411yescharacteristic
754C2×C3×C8C2411yescharacteristic
755C2×C3×C8C2411yescharacteristic
756C2×C3×C8C2411yescharacteristic
757C3×C4⋊C4—21no—
758C3×C4⋊C4—21no—
759C3×C4⋊C4—21no—
760C3×C4⋊C4—21no—
761C3×C4⋊C4—21no—
762C3×C4⋊C4C2×D411yescharacteristic
763C3×C4⋊C4C2411yescharacteristic
764C3×C4⋊C4C2411yescharacteristic
765C3×C4⋊C4C2411yescharacteristic
766C3×C4⋊C4C2411yescharacteristic
767C3×C22⋊C4—21no—
768C3×C22⋊C4—21no—
769C3×C22⋊C4—21no—
770C3×C22⋊C4—21no—
771C3×C22⋊C4—21no—
772C3×C22⋊C4—21no—
773C3×C22⋊C4—21no—
774C3×C22⋊C4C2×D411yescharacteristic
775C3×C22⋊C4C2×D411yescharacteristic
776C3×C42—21no—
777C3×C42C2411yescharacteristic
778#217—21no—
779#217—21no—
780#217—21no—
781#217—21no—
782#217—21no—
783#217—21no—
784#217—21no—
785#217—21no—
786#217—21no—
787#217—21no—
788#217—21no—
789#217—21no—
790#217—21no—
791#217C2×D411yescharacteristic
792#217C2×D411yescharacteristic
793#217C2×D411yescharacteristic
794#217C2×D411yescharacteristic
795#216—41no—
796#216—41no—
797#214—41no—
798#214—41no—
799#214—41no—
800#213—41no—
801(C2×D3)⋊C4—21no—
802(C2×D3)⋊C4—21no—
803(C2×D3)⋊C4—21no—
804(C2×D3)⋊C4—21no—
805(C2×D3)⋊C4—21no—
806(C2×D3)⋊C4—21no—
807(C2×D3)⋊C4—21no—
808(C2×D3)⋊C4—21no—
809(C2×D3)⋊C4—21no—
810(C2×D3)⋊C4C2×D411yescharacteristic
811(C2×D3)⋊C4C2×D411yescharacteristic
812(C2×D3)⋊C4C2×D411yescharacteristic
813(C2×D3)⋊C4C2×D411yescharacteristic
814C4⋊Dic3—21no—
815C4⋊Dic3—21no—
816C4⋊Dic3—21no—
817C4⋊Dic3—21no—
818C4⋊Dic3—21no—
819C4⋊Dic3—21no—
820C4⋊Dic3—21no—
821C4⋊Dic3C2×D411yescharacteristic
822C4⋊Dic3C2×D411yescharacteristic
823C4⋊Dic3C2×D411yescharacteristic
824C4⋊Dic3C2411yescharacteristic
825C4⋊Dic3C2411yescharacteristic
826C4⋊Dic3C2411yescharacteristic
827C4⋊Dic3C2411yescharacteristic
828Dic3⋊C4—21no—
829Dic3⋊C4—21no—
830Dic3⋊C4—21no—
831Dic3⋊C4—21no—
832Dic3⋊C4—21no—
833Dic3⋊C4—21no—
834Dic3⋊C4—21no—
835Dic3⋊C4—21no—
836Dic3⋊C4—21no—
837Dic3⋊C4—21no—
838Dic3⋊C4—21no—
839Dic3⋊C4—21no—
840Dic3⋊C4—21no—
841Dic3⋊C4—21no—
842Dic3⋊C4—21no—
843Dic3⋊C4—21no—
844Dic3⋊C4—21no—
845Dic3⋊C4—21no—
846Dic3⋊C4—21no—
847Dic3⋊C4—21no—
848Dic3⋊C4—21no—
849Dic3⋊C4—21no—
850Dic3⋊C4—21no—
851Dic3⋊C4—21no—
852Dic3⋊C4—21no—
853Dic3⋊C4—21no—
854Dic3⋊C4—21no—
855Dic3⋊C4C2×D411yescharacteristic
856Dic3⋊C4C2×D411yescharacteristic
857Dic3⋊C4C2×D411yescharacteristic
858Dic3⋊C4C2×D411yescharacteristic
859Dic3⋊C4C2×D411yescharacteristic
860Dic3⋊C4C2×D411yescharacteristic
861C4×Dic3—21no—
862C4×Dic3—21no—
863C4×Dic3—21no—
864C4×Dic3—21no—
865C4×Dic3—21no—
866C4×Dic3—21no—
867C4×Dic3—21no—
868C4×Dic3—21no—
869C4×Dic3C2×D411yescharacteristic
870C4×Dic3C2×D411yescharacteristic
871C4×Dic3C2411yescharacteristic
872C4×Dic3C2411yescharacteristic
873C4×Dic3C2411yescharacteristic
874#208—41no—
875#208—41no—
876C2×C3⋊C8C2411yescharacteristic
877C2×C3⋊C8C2411yescharacteristic
878C2×C3⋊C8C2411yescharacteristic
879C2×C3⋊C8C2411yescharacteristic
880Dic12—41no—
881Dic12—41no—
882#204—41no—
883ΓL(1,𝔽25)—41no—
884D3×C8—41no—
885C2×#41—21no—
886C2×#41—31no—
887C2×#41—31no—
888C2×#41—31no—
889C2×#41—61no—
890C2×#41C22×D311yescharacteristic
891C22×Q8—31no—
892C22×Q8—61no—
893C22×Q8C22×D311yescharacteristic
894C2×Q16—31no—
895C2×Q16—31no—
896C2×Q16—31no—
897C2×Q16—31no—
898C2×SD16—31no—
899C2×SD16—31no—
900C2×SD16—31no—
901C2×SD16—31no—
902C2×SD16C22×D311yescharacteristic
903C2×SD16C22×D311yescharacteristic
904C2×D8—31no—
905C2×D8C22×D311yescharacteristic
906C2×M16—31no—
907C2×M16—31no—
908C2×M16—31no—
909C2×M16C22×D311yescharacteristic
910C22×C8—31no—
911C22×C8C22×D311yescharacteristic
912C4⋊Q8—31no—
913C4⋊Q8—31no—
914C4⋊Q8—31no—
915C4⋊Q8—31no—
916C4⋊Q8—31no—
917C4⋊Q8—31no—
918C4⋊Q8—31no—
919C4⋊Q8—31no—
920C4⋊Q8—31no—
921C4⋊Q8—31no—
922C4⋊Q8—61no—
923C4⋊Q8—61no—
924C4⋊Q8—61no—
925C4⋊Q8—61no—
926C4⋊Q8—61no—
927C4⋊Q8—61no—
928C4⋊Q8—61no—
929C4⋊Q8—61no—
930C4⋊Q8C22×D311yescharacteristic
931#127—31no—
932#127—61no—
933#126—31no—
934#126—31no—
935#126—61no—
936#126—61no—
937#126—61no—
938#126—61no—
939#126—61no—
940#126—61no—
941#126—61no—
942#125—31no—
943#125—31no—
944#125—31no—
945#125—31no—
946#125—61no—
947#125—61no—
948#125—61no—
949#125—61no—
950#125—61no—
951#125—61no—
952#125—61no—
953#125—61no—
954#125—61no—
955#124—21no—
956#124—31no—
957#124—31no—
958#124—31no—
959#124—31no—
960#124—31no—
961#124—61no—
962#124—61no—
963#124—61no—
964#124—61no—
965#124—61no—
966#124—61no—
967#124—61no—
968#124—61no—
969#124C22×D311yescharacteristic
970#123—21no—
971#123—21no—
972#123—31no—
973#123—31no—
974#123—61no—
975#123—61no—
976#123—61no—
977#123—61no—
978#123—61no—
979#123—61no—
980#123—61no—
981#123—61no—
982#123—61no—
983#123—61no—
984#123—61no—
985#123—61no—
986#123—61no—
987#123—61no—
988#123—61no—
989#123—61no—
990#123—61no—
991#123—61no—
992#123—61no—
993C22⋊Q8—21no—
994C22⋊Q8—21no—
995C22⋊Q8—31no—
996C22⋊Q8—31no—
997C22⋊Q8—31no—
998C22⋊Q8—31no—
999C22⋊Q8—31no—
1000C22⋊Q8—31no—
1001C22⋊Q8—31no—
1002C22⋊Q8—61no—
1003C22⋊Q8—61no—
1004C22⋊Q8—61no—
1005C22⋊Q8—61no—
1006C22⋊Q8—61no—
1007C22⋊Q8—61no—
1008C22⋊Q8—61no—
1009C22⋊Q8—61no—
1010C22⋊Q8—61no—
1011C22⋊Q8—61no—
1012C22⋊Q8—61no—
1013C22⋊Q8—61no—
1014C22⋊Q8—61no—
1015C22⋊Q8—61no—
1016C22⋊Q8—61no—
1017C22⋊Q8—61no—
1018C22⋊Q8—61no—
1019C22⋊Q8—61no—
1020C22⋊Q8—61no—
1021C22⋊Q8—61no—
1022C22⋊Q8—61no—
1023C22⋊Q8—61no—
1024C22⋊Q8C22×D311yescharacteristic
1025#121—21no—
1026#121—31no—
1027#121—31no—
1028#121—31no—
1029#121—61no—
1030#121—61no—
1031#121—61no—
1032#121—61no—
1033#121—61no—
1034#121—61no—
1035#121—61no—
1036#121—61no—
1037#121C22×D311yescharacteristic
1038#121C22×D311yescharacteristic
1039#121C22×D311yescharacteristic
1040C4×Q8—31no—
1041C4×Q8—31no—
1042C4×Q8—31no—
1043C4×Q8—31no—
1044C4×Q8—31no—
1045C4×Q8—31no—
1046C4×Q8—31no—
1047C4×Q8—61no—
1048C4×Q8—61no—
1049C4×Q8—61no—
1050C4×Q8C22×D311yescharacteristic
1051C4×D4—21no—
1052C4×D4—31no—
1053C4×D4—31no—
1054C4×D4—31no—
1055C4×D4—31no—
1056C4×D4—31no—
1057C4×D4—31no—
1058C4×D4—61no—
1059C4×D4—61no—
1060C4×D4—61no—
1061C4×D4—61no—
1062C4×D4—61no—
1063C4×D4—61no—
1064C4×D4—61no—
1065C4×D4—61no—
1066C4×D4C22×D311yescharacteristic
1067C4×D4C22×D311yescharacteristic
1068#117—31no—
1069#117—31no—
1070#117—31no—
1071#117—31no—
1072#117—61no—
1073#117—61no—
1074#117—61no—
1075#117—61no—
1076#117—61no—
1077C2×C4⋊C4—31no—
1078C2×C4⋊C4—31no—
1079C2×C4⋊C4—61no—
1080C2×C4⋊C4—61no—
1081C2×C4⋊C4—61no—
1082C2×C4⋊C4—61no—
1083C2×C4⋊C4C22×D311yescharacteristic
1084C2×C4⋊C4C22×D311yescharacteristic
1085C2×C42—31no—
1086#107—31no—
1087#107—31no—
1088#107—31no—
1089#107—31no—
1090#107—31no—
1091#107—31no—
1092#107—31no—
1093#107C22×D311yescharacteristic
1094#107C22×D311yescharacteristic
1095#107C22×D311yescharacteristic
1096#106—31no—
1097#106—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8—31no—
1103C4⋊C8C22×D311yescharacteristic
1104#103—31no—
1105#103—31no—
1106#103—31no—
1107#103—31no—
1108#103—31no—
1109#103—31no—
1110#103—31no—
1111#103—31no—
1112#103—31no—
1113#103—31no—
1114#103—31no—
1115#103—31no—
1116#103—31no—
1117#103—31no—
1118#103—31no—
1119#103—31no—
1120#103—31no—
1121#103—31no—
1122#103—31no—
1123#103—31no—
1124#103C22×D311yescharacteristic
1125#103C22×D311yescharacteristic
1126#103C22×D311yescharacteristic
1127#103C22×D311yescharacteristic
1128#103C22×D311yescharacteristic
1129#103C22×D311yescharacteristic
1130#102—31no—
1131#102—31no—
1132#102—31no—
1133#102—31no—
1134#102—31no—
1135#102—31no—
1136#102—31no—
1137#102—31no—
1138#102—31no—
1139#102—31no—
1140#102C22×D311yescharacteristic
1141#102C22×D311yescharacteristic
1142#102C22×D311yescharacteristic
1143#102C22×D311yescharacteristic
1144C22⋊C8—31no—
1145C22⋊C8—31no—
1146C22⋊C8—31no—
1147C22⋊C8—31no—
1148C22⋊C8C22×D311yescharacteristic
1149C22⋊C8C22×D311yescharacteristic
1150#97—31no—
1151#97—31no—
1152#97—31no—
1153#97C22×D311yescharacteristic
1154C4×C8—31no—
1155C4×C8—31no—
1156C4×C8—31no—
1157C4×C8—31no—
1158C4×C8—31no—
1159C4×C8—31no—
1160C23×C3—21no—
1161C23×C3—21no—
1162C23×C3C22×D411yescharacteristic
1163C23×C3C22×D411yescharacteristic
1164C22×D3—21no—
1165C22×D3C22×D411yescharacteristic
1166C3×Q8—21no—
1167C3×Q8—21no—
1168C3×Q8—21no—
1169C3×Q8—21no—
1170C3×Q8—81no—
1171C3×Q8—81no—
1172C3×D4—21no—
1173C3×D4—21no—
1174C3×D4—21no—
1175C3×D4—21no—
1176C3×D4—41no—
1177C3×D4—42no—
1178C3×D4—81no—
1179C3×D4—81no—
1180C3×D4—81no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—42no—
1192C2×C3×C4—81no—
1193C2×C3×C4—81no—
1194C2×C3×C4—81no—
1195C2×C3×C4—81no—
1196C2×C3×C4C22×D411yescharacteristic
1197C2×C3×C4C22×D411yescharacteristic
1198C2×C3×C4C22×D411yescharacteristic
1199C2×C3×C4C22×D411yescharacteristic
1200C2×C3×C4C2511yescharacteristic
1201#67—22no—
1202#67—41no—
1203#67—42no—
1204#67—81no—
1205#67—81no—
1206#67—81no—
1207#67—81no—
1208#67—81no—
1209C2×Dic3—22no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—41no—
1218C2×Dic3—42no—
1219C2×Dic3—42no—
1220C2×Dic3—81no—
1221C2×Dic3—81no—
1222C2×Dic3—81no—
1223C2×Dic3C22×D411yescharacteristic
1224C2×Dic3C22×D411yescharacteristic
1225C2×Dic3C22×D411yescharacteristic
1226C2×Dic3C22×D411yescharacteristic
1227C2×Dic3C22×D411yescharacteristic
1228C2×Dic3C22×D411yescharacteristic
1229C2×Dic3C22×D411yescharacteristic
1230D12—21no—
1231D12—21no—
1232D12—81no—
1233C4×D3—21no—
1234C4×D3—21no—
1235C4×D3—81no—
1236C4×D3—81no—
1237C4×D3—81no—
1238C4×D3—81no—
1239C4×D3—81no—
1240Dic6—22no—
1241Dic6—21no—
1242Dic6—21no—
1243Dic6—21no—
1244Dic6—21no—
1245Dic6—21no—
1246Dic6—21no—
1247Dic6—81no—
1248Dic6—81no—
1249Dic6—81no—
1250Dic6—81no—
1251Dic6—81no—
1252Dic6—81no—
1253Dic6—81no—
1254C3×C8—21no—
1255C3×C8—21no—
1256C3×C8—21no—
1257C3×C8—21no—
1258C3⋊C8—21no—
1259C3⋊C8—21no—
1260C3⋊C8—21no—
1261C3⋊C8—21no—
1262#41—41no—
1263#41—41no—
1264#41—82no—
1265#41—121no—
1266#41—121no—
1267#41—121no—
1268#41—121no—
1269#41—121no—
1270#41—121no—
1271#41—242no—
1272C2×Q8—21no—
1273C2×Q8—21no—
1274C2×Q8—31no—
1275C2×Q8—31no—
1276C2×Q8—31no—
1277C2×Q8—31no—
1278C2×Q8—41no—
1279C2×Q8—41no—
1280C2×Q8—61no—
1281C2×Q8—61no—
1282C2×Q8—61no—
1283C2×Q8—61no—
1284C2×Q8—61no—
1285C2×Q8—61no—
1286C2×Q8—61no—
1287C2×Q8—121no—
1288C2×Q8—121no—
1289C2×Q8—242no—
1290C2×Q8C23×D311yescharacteristic
1291C2×Q8C23×D311yescharacteristic
1292C2×D4—21no—
1293C2×D4—21no—
1294C2×D4—21no—
1295C2×D4—21no—
1296C2×D4—31no—
1297C2×D4—31no—
1298C2×D4—31no—
1299C2×D4—61no—
1300C2×D4—61no—
1301C2×D4—61no—
1302C2×D4—61no—
1303C2×D4—61no—
1304C2×D4—61no—
1305C2×D4—61no—
1306C2×D4D3×D411yescharacteristic
1307C2×D4C23×D311yescharacteristic
1308C2×D4C23×D311yescharacteristic
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—31no—
1315C22×C4—31no—
1316C22×C4—31no—
1317C22×C4—61no—
1318C22×C4—61no—
1319C22×C4—61no—
1320C22×C4—61no—
1321C22×C4—61no—
1322C22×C4—61no—
1323C22×C4—61no—
1324C22×C4—61no—
1325C22×C4—61no—
1326C22×C4—61no—
1327C22×C4C23×D311yescharacteristic
1328C22×C4C23×D311yescharacteristic
1329Q16—121no—
1330Q16—121no—
1331Q16—121no—
1332Q16—121no—
1333SD16—41no—
1334SD16—41no—
1335SD16—121no—
1336SD16—121no—
1337SD16—121no—
1338SD16—121no—
1339D8—41no—
1340D8—121no—
1341M16—41no—
1342M16—121no—
1343M16—121no—
1344M16—121no—
1345C2×C8—31no—
1346C2×C8—31no—
1347C2×C8—31no—
1348C2×C8—31no—
1349C2×C8—41no—
1350C2×C8—121no—
1351C2×C8C23×D311yescharacteristic
1352C2×C8C23×D311yescharacteristic
1353C2×C8C23×D311yescharacteristic
1354C2×C8C23×D311yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—31no—
1361C4⋊C4—31no—
1362C4⋊C4—31no—
1363C4⋊C4—31no—
1364C4⋊C4—31no—
1365C4⋊C4—31no—
1366C4⋊C4—31no—
1367C4⋊C4—31no—
1368C4⋊C4—31no—
1369C4⋊C4—31no—
1370C4⋊C4—31no—
1371C4⋊C4—31no—
1372C4⋊C4—31no—
1373C4⋊C4—61no—
1374C4⋊C4—61no—
1375C4⋊C4—61no—
1376C4⋊C4—61no—
1377C4⋊C4—61no—
1378C4⋊C4—61no—
1379C4⋊C4—61no—
1380C4⋊C4—61no—
1381C4⋊C4—61no—
1382C4⋊C4—61no—
1383C4⋊C4—61no—
1384C4⋊C4—61no—
1385C4⋊C4—61no—
1386C4⋊C4—61no—
1387C4⋊C4—61no—
1388C4⋊C4—61no—
1389C4⋊C4—61no—
1390C4⋊C4—61no—
1391C4⋊C4—61no—
1392C4⋊C4—61no—
1393C4⋊C4—61no—
1394C4⋊C4—61no—
1395C4⋊C4—61no—
1396C4⋊C4—61no—
1397C4⋊C4—61no—
1398C4⋊C4—61no—
1399C4⋊C4—61no—
1400C4⋊C4—61no—
1401C4⋊C4—61no—
1402C4⋊C4—61no—
1403C4⋊C4—61no—
1404C4⋊C4—61no—
1405C4⋊C4—61no—
1406C4⋊C4—61no—
1407C4⋊C4D3×D411yescharacteristic
1408C4⋊C4C23×D311yescharacteristic
1409C4⋊C4C23×D311yescharacteristic
1410C4⋊C4C23×D311yescharacteristic
1411C4⋊C4C23×D311yescharacteristic
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—31no—
1420C22⋊C4—31no—
1421C22⋊C4—31no—
1422C22⋊C4—31no—
1423C22⋊C4—31no—
1424C22⋊C4—31no—
1425C22⋊C4—31no—
1426C22⋊C4—31no—
1427C22⋊C4—61no—
1428C22⋊C4—61no—
1429C22⋊C4—61no—
1430C22⋊C4—61no—
1431C22⋊C4—61no—
1432C22⋊C4—61no—
1433C22⋊C4—61no—
1434C22⋊C4—61no—
1435C22⋊C4—61no—
1436C22⋊C4—61no—
1437C22⋊C4—61no—
1438C22⋊C4—61no—
1439C22⋊C4—61no—
1440C22⋊C4—61no—
1441C22⋊C4—61no—
1442C22⋊C4—61no—
1443C22⋊C4—61no—
1444C22⋊C4—61no—
1445C22⋊C4—61no—
1446C22⋊C4—61no—
1447C22⋊C4—61no—
1448C22⋊C4—61no—
1449C22⋊C4D3×D411yescharacteristic
1450C22⋊C4D3×D411yescharacteristic
1451C42—21no—
1452C42—31no—
1453C42—31no—
1454C42—31no—
1455C42—31no—
1456C42—31no—
1457C42—61no—
1458C42—61no—
1459C42—61no—
1460C42—61no—
1461C42—61no—
1462C42—61no—
1463C42—61no—
1464C42—61no—
1465C42C23×D311yescharacteristic
1466C22×C3—21no—
1467C22×C3—21no—
1468C22×C3—21no—
1469C22×C3—21no—
1470C22×C3—21no—
1471C22×C3—21no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3C23×D411yescharacteristic
1479C2×D3—21no—
1480C2×D3—21no—
1481C2×D3—21no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C3×C4—21no—
1486C3×C4—21no—
1487C3×C4—21no—
1488C3×C4—21no—
1489C3×C4—41no—
1490C3×C4—41no—
1491C3×C4—41no—
1492C3×C4—41no—
1493C3×C4—41no—
1494C3×C4—41no—
1495C3×C4#58511yescharacteristic
1496C3×C4#58511yescharacteristic
1497Dic3—21no—
1498Dic3—21no—
1499Dic3—21no—
1500Dic3—21no—
1501Dic3—21no—
1502Dic3—21no—
1503Dic3—41no—
1504Dic3—41no—
1505Dic3—41no—
1506Dic3—41no—
1507Dic3—41no—
1508Dic3—41no—
1509Dic3—41no—
1510Dic3#57812yes—
1511C23—21no—
1512C23—21no—
1513C23—31no—
1514C23—61no—
1515C23C2×D3×D411yescharacteristic
1516C23C2×D3×D411yescharacteristic
1517Q8—21no—
1518Q8—21no—
1519Q8—21no—
1520Q8—21no—
1521Q8—62no—
1522Q8—61no—
1523Q8—61no—
1524Q8—61no—
1525Q8—61no—
1526Q8—61no—
1527Q8—61no—
1528Q8—81no—
1529Q8—81no—
1530Q8—241no—
1531Q8—241no—
1532Q8—241no—
1533Q8—241no—
1534Q8—241no—
1535Q8—241no—
1536Q8—241no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—41no—
1542D4—42no—
1543D4—62no—
1544D4—61no—
1545D4—61no—
1546D4—81no—
1547D4—81no—
1548D4—81no—
1549D4—122no—
1550D4—121no—
1551D4—241no—
1552D4—241no—
1553D4—241no—
1554D4—241no—
1555D4—241no—
1556D4—241no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—31no—
1568C2×C4—31no—
1569C2×C4—31no—
1570C2×C4—31no—
1571C2×C4—31no—
1572C2×C4—31no—
1573C2×C4—31no—
1574C2×C4—42no—
1575C2×C4—62no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—122no—
1590C2×C4—121no—
1591C2×C4—122no—
1592C2×C4—241no—
1593C2×C4—241no—
1594C2×C4—241no—
1595C2×C4—241no—
1596C2×C4—241no—
1597C2×C4—241no—
1598C2×C4—241no—
1599C2×C4—241no—
1600C2×C4C2×D3×D411yescharacteristic
1601C2×C4C2×D3×D411yescharacteristic
1602C2×C4C2×D3×D411yescharacteristic
1603C2×C4C2×D3×D411yescharacteristic
1604C2×C4C24×D311yescharacteristic
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C8—21no—
1609C8—61no—
1610C8—61no—
1611C8—61no—
1612C8—61no—
1613C2×C3—41no—
1614C2×C3—41no—
1615C2×C3—81no—
1616C2×C3—81no—
1617C2×C3#350011yescharacteristic
1618C2×C3C2×#57811yescharacteristic
1619C2×C3#358511yescharacteristic
1620D3—41no—
1621D3—81no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—61no—
1635C22—61no—
1636C22—61no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22C22×D3×D411yescharacteristic
1641C4—21no—
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—32no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—61no—
1653C4—61no—
1654C4—61no—
1655C4—61no—
1656C4—61no—
1657C4—61no—
1658C4—121no—
1659C4—121no—
1660C4—121no—
1661C4—121no—
1662C4—121no—
1663C4—121no—
1664C4—121no—
1665C4#596411yescharacteristic
1666C4#596611yescharacteristic
1667C3#6261911yescharacteristic, complemented, Sylow
1668C2—41no—
1669C2—41no—
1670C2—81no—
1671C2—81no—
1672C2—121no—
1673C2—241no—
1674C2#8663211yescharacteristic
1675C2#8719211yescharacteristic
1676C2D3×#57811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3308C2
socleC22×C3C23×D4
hypercenter#3308D3
hypocenterC3#62619
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #86729C2semidirect
2. #86692C2semidirect
3. C3×#3308C2semidirect
4. #83541C2semidirect
5. #83527C2semidirect
6. #81681C2semidirect
7. #81675C2semidirect
8. #81475C2semidirect
9. #81458C2semidirect
10. #81307C2semidirect
11. #81279C2semidirect
12. #81138C2semidirect
13. #81117C2semidirect
14. #80820C2semidirect
15. #80785C2semidirect
16. #80737C2semidirect
17. #80698C2semidirect
18. #80547C2semidirect
19. #80517C2semidirect
20. #80116C2semidirect
21. #80077C2semidirect
22. #80059C2semidirect
23. #80056C2semidirect
24. #79768C2semidirect
25. #79755C2semidirect
26. #79504C2semidirect
27. #79459C2semidirect
28. #78899C2semidirect
29. #78878C2semidirect
30. #78806C2semidirect
31. #78785C2semidirect
219. #3308D3semidirect
1667. C3#62619semidirect

Maximal subgroups

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

subgroupindex
#867292
#866922
C3×#33082
#835412
#835272
#816812
#816752
#814752
#814582
#813072
#812792
#811382
#811172
#808202
#807852
#807372
#806982
#805472
#805172
#801162
#800772
#800592
#800562
#797682
#797552
#795042
#794592
#788992
#788782
#788062
#787852
#626193