Finite Group Databasebeta

← #11701621

Subgroups — #11701621

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#86847C211yesmaximal, characteristic, complemented
2#86694C211yesmaximal, characteristic, complemented
3C3×#3315C211yesmaximal, characteristic, complemented
4#83605C211yesmaximal, characteristic, complemented
5#83514C211yesmaximal, characteristic, complemented
6#81738C211yesmaximal, characteristic, complemented
7#81732C211yesmaximal, characteristic, complemented
8#81555C211yesmaximal, characteristic, complemented
9#81506C211yesmaximal, characteristic, complemented
10#81487C211yesmaximal, characteristic, complemented
11#81458C211yesmaximal, characteristic, complemented
12#81178C211yesmaximal, characteristic, complemented
13#81150C211yesmaximal, characteristic, complemented
14#80916C211yesmaximal, characteristic, complemented
15#80888C211yesmaximal, characteristic, complemented
16#80781C211yesmaximal, characteristic, complemented
17#80742C211yesmaximal, characteristic, complemented
18#80485C211yesmaximal, characteristic, complemented
19#80462C211yesmaximal, characteristic, complemented
20#80261C211yesmaximal, characteristic, complemented
21#80259C211yesmaximal, characteristic, complemented
22#80224C211yesmaximal, characteristic, complemented
23#80221C211yesmaximal, characteristic, complemented
24#79768C211yesmaximal, characteristic, complemented
25#79756C211yesmaximal, characteristic, complemented
26#79509C211yesmaximal, characteristic, complemented
27#79459C211yesmaximal, characteristic, complemented
28#78896C211yesmaximal, characteristic, complemented
29#78878C211yesmaximal, characteristic, complemented
30#78852C211yesmaximal, characteristic, complemented
31#78828C211yesmaximal, characteristic, complemented
32#62619—31nomaximal, Sylow
33C3×#552C2211yescharacteristic
34C3×#547C2211yescharacteristic
35#5834C2211yescharacteristic
36#5832C2211yescharacteristic
37#5831C2211yescharacteristic
38#5825C2211yescharacteristic
39#5724C2211yescharacteristic
40#5721C2211yescharacteristic
41#5712—21no—
42#5710—21no—
43#5699—21no—
44#5690C2211yescharacteristic
45#5689—21no—
46#5689C2211yescharacteristic
47#5667—21no—
48#5664—21no—
49#5662—21no—
50#5660—21no—
51#5655—21no—
52#5648—21no—
53#5643C2211yescharacteristic
54#5643C2211yescharacteristic
55#5642C2211yescharacteristic
56#5635C2211yescharacteristic
57#5632C2211yescharacteristic
58#5631C2211yescharacteristic
59#5624C2211yescharacteristic
60#5622C2211yescharacteristic
61#5621—21no—
62#5615—21no—
63#5582C2211yescharacteristic
64Q8×Dic6C2211yescharacteristic
65#5561C2211yescharacteristic
66#5559C2211yescharacteristic
67#5555C2211yescharacteristic
68#5552C2211yescharacteristic
69#5538C2211yescharacteristic
70#5532C2211yescharacteristic
71#5531—21no—
72#5526—21no—
73#5519C2211yescharacteristic
74#5515—21no—
75#5511—21no—
76#5507C2211yescharacteristic
77C2×#888C2211yescharacteristic
78C3×#491C2211yescharacteristic
79C3×#485C2211yescharacteristic
80C3×#484C2211yescharacteristic
81C3×#478C2211yescharacteristic
82C3×#470C2211yescharacteristic
83C3×#467C2211yescharacteristic
84C3×#462C2211yescharacteristic
85C3×#452C2211yescharacteristic
86C3×#452C2211yescharacteristic
87C3×#440C2211yescharacteristic
88C3×#435C2211yescharacteristic
89C3×#417C2211yescharacteristic
90C3×#416C2211yescharacteristic
91#5238C2211yescharacteristic
92#5238C2211yescharacteristic
93#5232C2211yescharacteristic
94#5232C2211yescharacteristic
95#5191C2211yescharacteristic
96#5190C2211yescharacteristic
97#5187C2211yescharacteristic
98#5186C2211yescharacteristic
99#5182C2211yescharacteristic
100#5182C2211yescharacteristic
101Dic3×Q16C2211yescharacteristic
102Dic3×Q16C2211yescharacteristic
103#5174C2211yescharacteristic
104#5168C2211yescharacteristic
105#5166C2211yescharacteristic
106#5163C2211yescharacteristic
107#5134C2211yescharacteristic
108#5133C2211yescharacteristic
109#5127C2211yescharacteristic
110Dic3×M16C2211yescharacteristic
111#5115C2211yescharacteristic
112C8×#67C2211yescharacteristic
113C2×#816C2211yescharacteristic
114#5101C2211yescharacteristic
115#5083C2211yescharacteristic
116#5079C2211yescharacteristic
117#5068C2211yescharacteristic
118#5063C2211yescharacteristic
119#5052C2211yescharacteristic
120#5050C2211yescharacteristic
121#5049C2211yescharacteristic
122#5049C2211yescharacteristic
123#5049C2211yescharacteristic
124#5047C2211yescharacteristic
125#5044C2211yescharacteristic
126#5044C2211yescharacteristic
127C4×#216C2211yescharacteristic
128#5028C2211yescharacteristic
129C4×#213C2211yescharacteristic
130#5012C2211yescharacteristic
131#5007C2211yescharacteristic
132#5004C2211yescharacteristic
133#5003C2211yescharacteristic
134#4970C2211yescharacteristic
135#4966C2211yescharacteristic
136#4890C2211yescharacteristic
137#4886C2211yescharacteristic
138#4884C2211yescharacteristic
139#4875C2211yescharacteristic
140#4875C2211yescharacteristic
141#4874C2211yescharacteristic
142#4874C2211yescharacteristic
143#4872C2211yescharacteristic
144#4871C2211yescharacteristic
145#4868C2211yescharacteristic
146#4856C2211yescharacteristic
147#4852C2211yescharacteristic
148#4850C2211yescharacteristic
149#4844C2211yescharacteristic
150#4840C2211yescharacteristic
151#4830C2211yescharacteristic
152#4818C2211yescharacteristic
153#4818C2211yescharacteristic
154#4817C2211yescharacteristic
155#4817C2211yescharacteristic
156#4813C2211yescharacteristic
157#4810C2211yescharacteristic
158#4806C2211yescharacteristic
159#4804C2211yescharacteristic
160#4803C2211yescharacteristic
161#4802C2211yescharacteristic
162D3×#103C2211yescharacteristic
163#4800C2211yescharacteristic
164#4797C2211yescharacteristic
165#4797C2211yescharacteristic
166#4796C2211yescharacteristic
167#4794C2211yescharacteristic
168#4794C2211yescharacteristic
169#4794C2211yescharacteristic
170#4793C2211yescharacteristic
171#4793C2211yescharacteristic
172#4793C2211yescharacteristic
173#4792C2211yescharacteristic
174#4792C2211yescharacteristic
175#4792C2211yescharacteristic
176#4792C2211yescharacteristic
177#4792C2211yescharacteristic
178#4790C2211yescharacteristic
179#4788C2211yescharacteristic
180#4787C2211yescharacteristic
181#4786C2211yescharacteristic
182#4784C2211yescharacteristic
183#4775C2211yescharacteristic
184#4774C2211yescharacteristic
185#4768C2211yescharacteristic
186#4768C2211yescharacteristic
187#4765C2211yescharacteristic
188#4765C2211yescharacteristic
189#4765C2211yescharacteristic
190#4760C2211yescharacteristic
191#4760C2211yescharacteristic
192#4738C2211yescharacteristic
193#4736C2211yescharacteristic
194#4734C2211yescharacteristic
195#4729C2211yescharacteristic
196#4729C2211yescharacteristic
197#4722C2211yescharacteristic
198#4720C2211yescharacteristic
199#4718C2211yescharacteristic
200#4714C2211yescharacteristic
201#4710C2211yescharacteristic
202#4708C2211yescharacteristic
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#3315D311yescharacteristic, complemented
218#3308—31no—
219#3308—31no—
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×#41C2311yescharacteristic
236C2×C3×#41C2311yescharacteristic
237C2×#239C2311yescharacteristic
238C2×D3×Q8C2311yescharacteristic
239C2×#237—21no—
240C2×#235—21no—
241C2×#235C2311yescharacteristic
242C22×Dic6—21no—
243C22×Dic6C2311yescharacteristic
244C2×C3×Q16C2311yescharacteristic
245C2×C3×Q16C2311yescharacteristic
246C2×C3×SD16C2311yescharacteristic
247C2×C3×M16C2311yescharacteristic
248C22×C3×C8C2311yescharacteristic
249C3×C4⋊Q8C2311yescharacteristic
250C3×#126—21no—
251C3×#125—21no—
252C3×#125C2311yescharacteristic
253C3×#123—21no—
254C3×#123—21no—
255C3×#123—21no—
256C3×C22⋊Q8C2311yescharacteristic
257C3×C22⋊Q8C2311yescharacteristic
258C3×C22⋊Q8C2311yescharacteristic
259C3×C22⋊Q8C2311yescharacteristic
260C3×#121—21no—
261C3×C4×Q8C2311yescharacteristic
262C3×C4×D4C2311yescharacteristic
263C3×C4×D4C2311yescharacteristic
264C3×#117—21no—
265C3×#117C2311yescharacteristic
266C2×C3×C4⋊C4—21no—
267C2×C3×C4⋊C4C2311yescharacteristic
268#947C2311yescharacteristic
269#947C2311yescharacteristic
270#946C2311yescharacteristic
271Q8×Dic3C2311yescharacteristic
272Q8×Dic3C2311yescharacteristic
273Q8×Dic3C2311yescharacteristic
274Q8×Dic3C2311yescharacteristic
275#944C2311yescharacteristic
276#944C2311yescharacteristic
277#944C2311yescharacteristic
278C2×#216C2311yescharacteristic
279C2×#216C2311yescharacteristic
280C2×#215C2311yescharacteristic
281C2×#215C2311yescharacteristic
282C2×#215C2311yescharacteristic
283#940—21no—
284#940C2311yescharacteristic
285#939—21no—
286#939—21no—
287#939—21no—
288#939D411yescharacteristic
289#938—21no—
290#938—21no—
291#938C2311yescharacteristic
292#936—21no—
293#936C2311yescharacteristic
294#936C2311yescharacteristic
295#935—21no—
296#935—21no—
297#935D411yescharacteristic
298C2×#213C2311yescharacteristic
299#930—21no—
300#930C2311yescharacteristic
301#930C2311yescharacteristic
302#930C2311yescharacteristic
303#929—21no—
304#929—21no—
305#929—21no—
306C4×#67—21no—
307C4×#67—21no—
308C4×#67—21no—
309C4×#67—21no—
310C4×#67—21no—
311C4×#67C2311yescharacteristic
312C4×#67C2311yescharacteristic
313#926C2311yescharacteristic
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316#924—21no—
317#924—21no—
318#924—21no—
319#924—21no—
320#924C2311yescharacteristic
321C2×Dic3⋊C4—21no—
322C2×C4×Dic3C2311yescharacteristic
323C2×#208C2311yescharacteristic
324C2×#208C2311yescharacteristic
325C2×D24C2311yescharacteristic
326C2×#204C2311yescharacteristic
327C2×#204C2311yescharacteristic
328C2×ΓL(1,𝔽25)C2311yescharacteristic
329C2×D3×C8C2311yescharacteristic
330#898—21no—
331#898—21no—
332#898—21no—
333#898—21no—
334#898D411yescharacteristic
335#897—21no—
336#897—21no—
337#897—21no—
338#897—21no—
339#897—21no—
340#897—21no—
341#897C2311yescharacteristic
342#896—21no—
343#896—21no—
344#896—21no—
345#896—21no—
346#896—21no—
347#896—21no—
348#896—21no—
349#896—21no—
350#896—21no—
351#895C2311yescharacteristic
352#894—21no—
353#894—21no—
354#894—21no—
355#894—21no—
356#894—21no—
357#893C2311yescharacteristic
358#893C2311yescharacteristic
359#893C2311yescharacteristic
360#892—21no—
361#892C2311yescharacteristic
362D3×C4⋊C4—21no—
363D3×C4⋊C4—21no—
364D3×C4⋊C4C2311yescharacteristic
365#890—21no—
366#890—21no—
367#890C2311yescharacteristic
368#890C2311yescharacteristic
369#889—21no—
370#889—21no—
371#889—21no—
372#889—21no—
373#889—21no—
374#889D411yescharacteristic
375#888—21no—
376#888—21no—
377#888—21no—
378#888—21no—
379#888—21no—
380#888—21no—
381#888C2311yescharacteristic
382#888C2311yescharacteristic
383#888C2311yescharacteristic
384#888C2311yescharacteristic
385#888C2311yescharacteristic
386#888C2311yescharacteristic
387#887—21no—
388#887—21no—
389#887C2311yescharacteristic
390#886—21no—
391#886—21no—
392#886—21no—
393#886—21no—
394#886D411yescharacteristic
395#885—21no—
396#885—21no—
397#885—21no—
398#885—21no—
399#885—21no—
400#885—21no—
401#885D411yescharacteristic
402#884—21no—
403#884—21no—
404#883—21no—
405#883—21no—
406#883—21no—
407#883—21no—
408#67⋊C4—21no—
409#67⋊C4—21no—
410#67⋊C4—21no—
411#67⋊C4—21no—
412#879—21no—
413#879D411yescharacteristic
414#878—21no—
415#878—21no—
416#878—21no—
417#878—21no—
418#878—21no—
419#878D411yescharacteristic
420#877—21no—
421#877—21no—
422#876—21no—
423#875—21no—
424#875—21no—
425#875C2311yescharacteristic
426C4×D12C2311yescharacteristic
427#872—21no—
428#872C2311yescharacteristic
429#870—21no—
430#869—21no—
431#869—21no—
432#869C2311yescharacteristic
433C4×Dic6—21no—
434C4×Dic6C2311yescharacteristic
435C4×Dic6C2311yescharacteristic
436C3×#107C2311yescharacteristic
437C3×#107C2311yescharacteristic
438C3×#106C2311yescharacteristic
439C3×C4⋊C8C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#103C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#103C2311yescharacteristic
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#835C2311yescharacteristic
460#832C2311yescharacteristic
461#832C2311yescharacteristic
462#832C2311yescharacteristic
463#830C2311yescharacteristic
464#830C2311yescharacteristic
465#821C2311yescharacteristic
466#821C2311yescharacteristic
467#821C2311yescharacteristic
468#821C2311yescharacteristic
469(C2×D3)⋊C8C2311yescharacteristic
470(C2×D3)⋊C8C2311yescharacteristic
471#818C2311yescharacteristic
472#818C2311yescharacteristic
473#818C2311yescharacteristic
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#809C2311yescharacteristic
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—61no—
524#552C2×D311yescharacteristic
525#550—31no—
526D4×Q8—31no—
527#548—31no—
528#548—31no—
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#491C2×D311yescharacteristic
564#489—31no—
565#489—31no—
566#489—31no—
567#489—31no—
568#489—31no—
569#489—31no—
570#489—31no—
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#485C2×D311yescharacteristic
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#480—31no—
595#479—31no—
596#479—31no—
597#478—31no—
598#478C2×D311yescharacteristic
599#477—31no—
600#477—31no—
601#477—31no—
602#477—31no—
603#477—31no—
604#477—31no—
605#474—31no—
606#474—31no—
607#470—31no—
608#470C2×D311yescharacteristic
609#468—31no—
610#468—31no—
611#468—31no—
612#468—31no—
613#468—31no—
614#468—31no—
615#467—31no—
616#467C2×D311yescharacteristic
617#466—31no—
618#466—31no—
619#464—31no—
620#464—31no—
621#463—31no—
622#463—31no—
623#462—31no—
624#462—31no—
625#462C2×D311yescharacteristic
626#461—31no—
627#461—31no—
628#461—31no—
629#460—31no—
630#459—31no—
631#452—31no—
632#452—31no—
633#452C2×D311yescharacteristic
634#452C2×D311yescharacteristic
635#451—31no—
636#451—31no—
637#449—31no—
638#449—31no—
639#449—31no—
640#449—31no—
641#448—31no—
642#448—31no—
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#416C2×D311yescharacteristic
676C2×#103—31no—
677C2×#103—31no—
678#405—31no—
679#405—31no—
680C4×M16—31no—
681C3×#41—41no—
682C3×#41—41no—
683C3×#41—41no—
684C3×#41—41no—
685C2×C3×Q8C2411yescharacteristic
686C2×C3×Q8C2411yescharacteristic
687C2×C3×Q8C2411yescharacteristic
688C2×C3×D4—21no—
689C2×C3×D4—21no—
690C2×C3×D4C2×D411yescharacteristic
691C2×C3×D4C2411yescharacteristic
692C22×C3×C4—21no—
693C22×C3×C4—21no—
694C22×C3×C4—21no—
695C22×C3×C4—21no—
696C22×C3×C4C2411yescharacteristic
697C22×C3×C4C2411yescharacteristic
698C2×#67—21no—
699C2×#67—21no—
700C2×#67—21no—
701C2×#67—21no—
702C2×#67—21no—
703C2×#67—21no—
704C2×#67—21no—
705C2×#67C2×D411yescharacteristic
706C2×#67C2×D411yescharacteristic
707C22×Dic3—21no—
708C22×Dic3—21no—
709C22×Dic3—21no—
710C22×Dic3C2×D411yescharacteristic
711C22×Dic3C2×D411yescharacteristic
712#239—41no—
713#239—41no—
714D3×Q8—41no—
715D3×Q8—41no—
716#237—82no—
717#235—41no—
718#235—41no—
719#235—82no—
720C2×D12—21no—
721C2×D12—21no—
722C2×D12C2411yescharacteristic
723C2×D12C2411yescharacteristic
724C2×C4×D3—21no—
725C2×C4×D3—21no—
726C2×C4×D3—21no—
727C2×C4×D3—21no—
728C2×C4×D3—21no—
729C2×C4×D3—21no—
730C2×C4×D3—21no—
731C2×C4×D3—21no—
732C2×C4×D3C2411yescharacteristic
733C2×Dic6—21no—
734C2×Dic6—21no—
735C2×Dic6—21no—
736C2×Dic6—21no—
737C2×Dic6—21no—
738C2×Dic6—21no—
739C2×Dic6—21no—
740C2×Dic6—21no—
741C2×Dic6—21no—
742C2×Dic6—41no—
743C2×Dic6—41no—
744C2×Dic6—82no—
745C2×Dic6C2×D411yescharacteristic
746C2×Dic6C2411yescharacteristic
747C2×Dic6C2411yescharacteristic
748C3×Q16—41no—
749C3×Q16—41no—
750C3×SD16—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⋊C4—21no—
763C3×C4⋊C4—21no—
764C3×C4⋊C4—21no—
765C3×C4⋊C4—21no—
766C3×C4⋊C4—21no—
767C3×C4⋊C4C2×D411yescharacteristic
768C3×C4⋊C4C2411yescharacteristic
769C3×C4⋊C4C2411yescharacteristic
770C3×C4⋊C4C2411yescharacteristic
771C3×C4⋊C4C2411yescharacteristic
772C3×C22⋊C4—21no—
773C3×C22⋊C4—21no—
774C3×C22⋊C4—21no—
775C3×C22⋊C4—21no—
776C3×C22⋊C4—21no—
777C3×C22⋊C4—21no—
778C3×C22⋊C4C2×D411yescharacteristic
779C3×C22⋊C4C2×D411yescharacteristic
780C3×C42—21no—
781C3×C42—21no—
782C3×C42C2411yescharacteristic
783#217—21no—
784#217—21no—
785#217—21no—
786#217—21no—
787#217—21no—
788#217—21no—
789#217C2×D411yescharacteristic
790#217C2×D411yescharacteristic
791#217C2×D411yescharacteristic
792#217C2×D411yescharacteristic
793#216—41no—
794#216—41no—
795#215—41no—
796#215—41no—
797#215—41no—
798#213—41no—
799(C2×D3)⋊C4—21no—
800(C2×D3)⋊C4—21no—
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)⋊C4—21no—
811(C2×D3)⋊C4—21no—
812(C2×D3)⋊C4—21no—
813(C2×D3)⋊C4—21no—
814(C2×D3)⋊C4—21no—
815(C2×D3)⋊C4—21no—
816(C2×D3)⋊C4C2×D411yescharacteristic
817(C2×D3)⋊C4C2×D411yescharacteristic
818(C2×D3)⋊C4C2×D411yescharacteristic
819(C2×D3)⋊C4C2×D411yescharacteristic
820C4⋊Dic3—21no—
821C4⋊Dic3—21no—
822C4⋊Dic3—21no—
823C4⋊Dic3—21no—
824C4⋊Dic3—21no—
825C4⋊Dic3—21no—
826C4⋊Dic3—21no—
827C4⋊Dic3—21no—
828C4⋊Dic3—21no—
829C4⋊Dic3—21no—
830C4⋊Dic3C2×D411yescharacteristic
831C4⋊Dic3C2×D411yescharacteristic
832C4⋊Dic3C2×D411yescharacteristic
833C4⋊Dic3C2411yescharacteristic
834C4⋊Dic3C2411yescharacteristic
835C4⋊Dic3C2411yescharacteristic
836C4⋊Dic3C2411yescharacteristic
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⋊C4—21no—
856Dic3⋊C4C2×D411yescharacteristic
857Dic3⋊C4C2×D411yescharacteristic
858Dic3⋊C4C2×D411yescharacteristic
859Dic3⋊C4C2×D411yescharacteristic
860Dic3⋊C4C2×D411yescharacteristic
861Dic3⋊C4C2×D411yescharacteristic
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
880D24—41no—
881#204—41no—
882#204—41no—
883ΓL(1,𝔽25)—41no—
884D3×C8—41no—
885C2×#41—31no—
886C2×#41—31no—
887C2×#41—61no—
888C2×#41—61no—
889C2×#41C22×D311yescharacteristic
890C2×#41C22×D311yescharacteristic
891C22×Q8—31no—
892C22×Q8—31no—
893C22×Q8—61no—
894C2×Q16—31no—
895C2×Q16—31no—
896C2×Q16C22×D311yescharacteristic
897C2×Q16C22×D311yescharacteristic
898C2×SD16—31no—
899C2×SD16—31no—
900C2×SD16—31no—
901C2×SD16—31no—
902C2×SD16—31no—
903C2×SD16C22×D311yescharacteristic
904C2×D8—31no—
905C2×D8—31no—
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—21no—
934#126—31no—
935#126—31no—
936#126—61no—
937#126—61no—
938#126—61no—
939#126—61no—
940#126—61no—
941#126—61no—
942#125—21no—
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#125C22×D311yescharacteristic
955#124—31no—
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#124—61no—
970#123—21no—
971#123—21no—
972#123—21no—
973#123—31no—
974#123—31no—
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—31no—
994C22⋊Q8—31no—
995C22⋊Q8—31no—
996C22⋊Q8—31no—
997C22⋊Q8—61no—
998C22⋊Q8—61no—
999C22⋊Q8—61no—
1000C22⋊Q8—61no—
1001C22⋊Q8—61no—
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⋊Q8C22×D311yescharacteristic
1022C22⋊Q8C22×D311yescharacteristic
1023C22⋊Q8C22×D311yescharacteristic
1024C22⋊Q8C22×D311yescharacteristic
1025#121—21no—
1026#121—31no—
1027#121—31no—
1028#121—31no—
1029#121—31no—
1030#121—31no—
1031#121—31no—
1032#121—61no—
1033#121—61no—
1034#121—61no—
1035#121—61no—
1036#121—61no—
1037#121—61no—
1038#121—61no—
1039#121—61no—
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—31no—
1052C4×D4—31no—
1053C4×D4—31no—
1054C4×D4—31no—
1055C4×D4—31no—
1056C4×D4—31no—
1057C4×D4—61no—
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—21no—
1069#117—31no—
1070#117—31no—
1071#117—31no—
1072#117—61no—
1073#117—61no—
1074#117—61no—
1075#117—61no—
1076#117C22×D311yescharacteristic
1077C2×C4⋊C4—21no—
1078C2×C4⋊C4—31no—
1079C2×C4⋊C4—31no—
1080C2×C4⋊C4—31no—
1081C2×C4⋊C4—61no—
1082C2×C4⋊C4—61no—
1083C2×C4⋊C4—61no—
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#107—31no—
1094#107C22×D311yescharacteristic
1095#107C22×D311yescharacteristic
1096#106—31no—
1097#106C22×D311yescharacteristic
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#103C22×D311yescharacteristic
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#102—31no—
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×C3C22×D411yescharacteristic
1162C23×C3C22×D411yescharacteristic
1163C22×D3—21no—
1164C22×D3—21no—
1165C22×D3C22×D411yescharacteristic
1166C3×Q8—21no—
1167C3×Q8—21no—
1168C3×Q8—21no—
1169C3×Q8—21no—
1170C3×Q8—21no—
1171C3×Q8—21no—
1172C3×D4—21no—
1173C3×D4—21no—
1174C3×D4—41no—
1175C3×D4—81no—
1176C3×D4—81no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
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—42no—
1189C2×C3×C4—81no—
1190C2×C3×C4—81no—
1191C2×C3×C4—81no—
1192C2×C3×C4C22×D411yescharacteristic
1193C2×C3×C4C22×D411yescharacteristic
1194C2×C3×C4C22×D411yescharacteristic
1195C2×C3×C4C22×D411yescharacteristic
1196C2×C3×C4C2511yescharacteristic
1197#67—22no—
1198#67—41no—
1199#67—42no—
1200#67—42no—
1201#67—81no—
1202#67—81no—
1203#67—81no—
1204#67—81no—
1205#67—81no—
1206C2×Dic3—22no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—41no—
1214C2×Dic3—42no—
1215C2×Dic3—81no—
1216C2×Dic3—81no—
1217C2×Dic3C22×D411yescharacteristic
1218C2×Dic3C22×D411yescharacteristic
1219C2×Dic3C22×D411yescharacteristic
1220C2×Dic3C22×D411yescharacteristic
1221C2×Dic3C22×D411yescharacteristic
1222C2×Dic3C22×D411yescharacteristic
1223C2×Dic3C22×D411yescharacteristic
1224D12—21no—
1225D12—21no—
1226D12—21no—
1227D12—21no—
1228D12—81no—
1229D12—81no—
1230C4×D3—21no—
1231C4×D3—21no—
1232C4×D3—42no—
1233C4×D3—81no—
1234C4×D3—81no—
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—81no—
1246Dic6—81no—
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—41no—
1265#41—41no—
1266#41—121no—
1267#41—121no—
1268#41—121no—
1269#41—121no—
1270#41—242no—
1271#41—242no—
1272C2×Q8—31no—
1273C2×Q8—31no—
1274C2×Q8—31no—
1275C2×Q8—61no—
1276C2×Q8—61no—
1277C2×Q8—61no—
1278C2×Q8—61no—
1279C2×Q8—61no—
1280C2×Q8—61no—
1281C2×Q8—61no—
1282C2×Q8—61no—
1283C2×Q8—61no—
1284C2×Q8—121no—
1285C2×Q8—121no—
1286C2×Q8—121no—
1287C2×Q8—121no—
1288C2×Q8—242no—
1289C2×Q8C23×D311yescharacteristic
1290C2×Q8C23×D311yescharacteristic
1291C2×Q8C23×D311yescharacteristic
1292C2×D4—21no—
1293C2×D4—21no—
1294C2×D4—31no—
1295C2×D4—31no—
1296C2×D4—31no—
1297C2×D4—31no—
1298C2×D4—61no—
1299C2×D4—61no—
1300C2×D4—61no—
1301C2×D4—61no—
1302C2×D4—61no—
1303C2×D4—61no—
1304C2×D4—61no—
1305C2×D4—61no—
1306C2×D4—61no—
1307C2×D4D3×D411yescharacteristic
1308C2×D4C23×D311yescharacteristic
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—31no—
1316C22×C4—61no—
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—41no—
1330Q16—41no—
1331Q16—121no—
1332Q16—121no—
1333SD16—41no—
1334SD16—121no—
1335SD16—121no—
1336SD16—121no—
1337SD16—121no—
1338SD16—121no—
1339D8—121no—
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—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
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—31no—
1374C4⋊C4—31no—
1375C4⋊C4—31no—
1376C4⋊C4—31no—
1377C4⋊C4—31no—
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—31no—
1419C22⋊C4—31no—
1420C22⋊C4—31no—
1421C22⋊C4—31no—
1422C22⋊C4—31no—
1423C22⋊C4—31no—
1424C22⋊C4—31no—
1425C22⋊C4—31no—
1426C22⋊C4—61no—
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—21no—
1453C42—31no—
1454C42—31no—
1455C42—31no—
1456C42—31no—
1457C42—31no—
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×C3C23×D411yescharacteristic
1476C2×D3—21no—
1477C2×D3—21no—
1478C2×D3—21no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
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—41no—
1496C3×C4#58511yescharacteristic
1497C3×C4#58511yescharacteristic
1498Dic3—21no—
1499Dic3—21no—
1500Dic3—21no—
1501Dic3—21no—
1502Dic3—21no—
1503Dic3—21no—
1504Dic3—41no—
1505Dic3—41no—
1506Dic3—41no—
1507Dic3—41no—
1508Dic3—41no—
1509Dic3—41no—
1510Dic3#57812yes—
1511C23—21no—
1512C23—31no—
1513C23—61no—
1514C23—61no—
1515C23C2×D3×D411yescharacteristic
1516C23C2×D3×D411yescharacteristic
1517Q8—21no—
1518Q8—21no—
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—62no—
1524Q8—61no—
1525Q8—61no—
1526Q8—61no—
1527Q8—61no—
1528Q8—241no—
1529Q8—241no—
1530Q8—241no—
1531Q8—241no—
1532Q8—241no—
1533Q8—241no—
1534Q8—241no—
1535Q8—241no—
1536Q8—241no—
1537D4—21no—
1538D4—21no—
1539D4—41no—
1540D4—62no—
1541D4—61no—
1542D4—61no—
1543D4—61no—
1544D4—61no—
1545D4—81no—
1546D4—81no—
1547D4—122no—
1548D4—121no—
1549D4—122no—
1550D4—241no—
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—21no—
1568C2×C4—31no—
1569C2×C4—31no—
1570C2×C4—31no—
1571C2×C4—31no—
1572C2×C4—31no—
1573C2×C4—31no—
1574C2×C4—31no—
1575C2×C4—42no—
1576C2×C4—62no—
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—122no—
1589C2×C4—121no—
1590C2×C4—122no—
1591C2×C4—241no—
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#350011yescharacteristic
1617C2×C3C2×#57811yescharacteristic
1618C2×C3#358511yescharacteristic
1619D3—41no—
1620D3—81no—
1621D3—81no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—61no—
1632C22—61no—
1633C22—61no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
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—41no—
1653C4—61no—
1654C4—61no—
1655C4—61no—
1656C4—61no—
1657C4—61no—
1658C4—61no—
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—121no—
1672C2—241no—
1673C2—241no—
1674C2#8663211yescharacteristic
1675C2#8720011yescharacteristic
1676C2D3×#57811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3315C2
socleC22×C3C23×D4
hypercenter#3315D3
hypocenterC3#62619
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3315

Complements

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

NH ≅ G/Ntype
1. #86847C2semidirect
2. #86694C2semidirect
3. C3×#3315C2semidirect
4. #83605C2semidirect
5. #83514C2semidirect
6. #81738C2semidirect
7. #81732C2semidirect
8. #81555C2semidirect
9. #81506C2semidirect
10. #81487C2semidirect
11. #81458C2semidirect
12. #81178C2semidirect
13. #81150C2semidirect
14. #80916C2semidirect
15. #80888C2semidirect
16. #80781C2semidirect
17. #80742C2semidirect
18. #80485C2semidirect
19. #80462C2semidirect
20. #80261C2semidirect
21. #80259C2semidirect
22. #80224C2semidirect
23. #80221C2semidirect
24. #79768C2semidirect
25. #79756C2semidirect
26. #79509C2semidirect
27. #79459C2semidirect
28. #78896C2semidirect
29. #78878C2semidirect
30. #78852C2semidirect
31. #78828C2semidirect
217. #3315D3semidirect
1667. C3#62619semidirect

Maximal subgroups

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

subgroupindex
#868472
#866942
C3×#33152
#836052
#835142
#817382
#817322
#815552
#815062
#814872
#814582
#811782
#811502
#809162
#808882
#807812
#807422
#804852
#804622
#802612
#802592
#802242
#802212
#797682
#797562
#795092
#794592
#788962
#788782
#788522
#788282
#626193