Finite Group Databasebeta

← #11701630

Subgroups — #11701630

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#86601C211yesmaximal, characteristic, complemented
2#86351C211yesmaximal, characteristic, complemented
3C3×#3137C211yesmaximal, characteristic, complemented
4#83478C211yesmaximal, characteristic, complemented
5#83410C211yesmaximal, characteristic, complemented
6#81750C211yesmaximal, characteristic, complemented
7#81738C211yesmaximal, characteristic, complemented
8#81732C211yesmaximal, characteristic, complemented
9#81728C211yesmaximal, characteristic, complemented
10#81697C211yesmaximal, characteristic, complemented
11#81683C211yesmaximal, characteristic, complemented
12#81675C211yesmaximal, characteristic, complemented
13#81667C211yesmaximal, characteristic, complemented
14#81659C211yesmaximal, characteristic, complemented
15#81650C211yesmaximal, characteristic, complemented
16#81643C211yesmaximal, characteristic, complemented
17#81633C211yesmaximal, characteristic, complemented
18#81624C211yesmaximal, characteristic, complemented
19#81618C211yesmaximal, characteristic, complemented
20#81608C211yesmaximal, characteristic, complemented
21#81606C211yesmaximal, characteristic, complemented
22#78973C211yesmaximal, characteristic, complemented
23#78971C211yesmaximal, characteristic, complemented
24#78909C211yesmaximal, characteristic, complemented
25#78906C211yesmaximal, characteristic, complemented
26#78857C211yesmaximal, characteristic, complemented
27#78852C211yesmaximal, characteristic, complemented
28#78809C211yesmaximal, characteristic, complemented
29#78806C211yesmaximal, characteristic, complemented
30#78568C211yesmaximal, characteristic, complemented
31#78559C211yesmaximal, characteristic, complemented
32#62619—31nomaximal, Sylow
33C3×#544C2211yescharacteristic
34C3×#536C2211yescharacteristic
35#5834C2211yescharacteristic
36#5824C2211yescharacteristic
37#5817C2211yescharacteristic
38Q8×#67C2211yescharacteristic
39#5733C2211yescharacteristic
40#5729—21no—
41#5728C2211yescharacteristic
42#5726C2211yescharacteristic
43#5726C2211yescharacteristic
44#5724—21no—
45#5724C2211yescharacteristic
46D3×C4⋊Q8C2211yescharacteristic
47#5722C2211yescharacteristic
48#5721C2211yescharacteristic
49#5699—21no—
50#5694C2211yescharacteristic
51#5693—21no—
52#5691C2211yescharacteristic
53#5690C2211yescharacteristic
54#5689C2211yescharacteristic
55#5682C2211yescharacteristic
56#5681C2211yescharacteristic
57#5677C2211yescharacteristic
58#5668C2211yescharacteristic
59#5667—21no—
60#5664—21no—
61#5663—21no—
62#5660—21no—
63#5647—21no—
64#5646—21no—
65#5645—21no—
66#5640—21no—
67#5640—21no—
68#5636—21no—
69#5631—21no—
70#5628—21no—
71#5534C2211yescharacteristic
72#5534C2211yescharacteristic
73#5532C2211yescharacteristic
74#5529C2211yescharacteristic
75#5528C2211yescharacteristic
76#5511C2211yescharacteristic
77#5507C2211yescharacteristic
78C3×#491C2211yescharacteristic
79C3×#491C2211yescharacteristic
80C3×#489C2211yescharacteristic
81C3×#489C2211yescharacteristic
82C3×#488C2211yescharacteristic
83C3×#488C2211yescharacteristic
84C3×#487C2211yescharacteristic
85C3×#487C2211yescharacteristic
86C3×#419C2211yescharacteristic
87C3×#417C2211yescharacteristic
88C3×#416C2211yescharacteristic
89C2×C3×#103C2211yescharacteristic
90C3×#405C2211yescharacteristic
91#5239C2211yescharacteristic
92#5238C2211yescharacteristic
93#5228C2211yescharacteristic
94#5227C2211yescharacteristic
95#5134C2211yescharacteristic
96#5134C2211yescharacteristic
97#5128C2211yescharacteristic
98#5128C2211yescharacteristic
99#5116C2211yescharacteristic
100#5115C2211yescharacteristic
101#5111C2211yescharacteristic
102C8×#67C2211yescharacteristic
103#5091C2211yescharacteristic
104#5090C2211yescharacteristic
105#5089C2211yescharacteristic
106#5087C2211yescharacteristic
107#5086C2211yescharacteristic
108#5083C2211yescharacteristic
109#5079C2211yescharacteristic
110#5078C2211yescharacteristic
111#5068C2211yescharacteristic
112#5066C2211yescharacteristic
113#5064C2211yescharacteristic
114#5063C2211yescharacteristic
115#5059C2211yescharacteristic
116#5057C2211yescharacteristic
117#5055C2211yescharacteristic
118#5054C2211yescharacteristic
119#5003C2211yescharacteristic
120#5000C2211yescharacteristic
121#4996C2211yescharacteristic
122#4970C2211yescharacteristic
123#4967C2211yescharacteristic
124#4819C2211yescharacteristic
125#4818C2211yescharacteristic
126#4818C2211yescharacteristic
127#4817C2211yescharacteristic
128#4816C2211yescharacteristic
129#4816C2211yescharacteristic
130#4814C2211yescharacteristic
131#4813C2211yescharacteristic
132#4812C2211yescharacteristic
133#4812C2211yescharacteristic
134#4812C2211yescharacteristic
135#4811C2211yescharacteristic
136#4811C2211yescharacteristic
137#4811C2211yescharacteristic
138#4811C2211yescharacteristic
139#4811C2211yescharacteristic
140#4810C2211yescharacteristic
141#4810C2211yescharacteristic
142#4809C2211yescharacteristic
143#4808C2211yescharacteristic
144#4808C2211yescharacteristic
145#4806C2211yescharacteristic
146#4804C2211yescharacteristic
147#4803C2211yescharacteristic
148#4803C2211yescharacteristic
149#4803C2211yescharacteristic
150#4802C2211yescharacteristic
151D3×#103C2211yescharacteristic
152#4800C2211yescharacteristic
153#4798C2211yescharacteristic
154#4797C2211yescharacteristic
155#4796C2211yescharacteristic
156#4795C2211yescharacteristic
157#4795C2211yescharacteristic
158#4794C2211yescharacteristic
159#4793C2211yescharacteristic
160#4793C2211yescharacteristic
161#4793C2211yescharacteristic
162#4793C2211yescharacteristic
163#4793C2211yescharacteristic
164#4792C2211yescharacteristic
165#4792C2211yescharacteristic
166#4792C2211yescharacteristic
167#4790C2211yescharacteristic
168#4790C2211yescharacteristic
169#4790C2211yescharacteristic
170#4788C2211yescharacteristic
171#4788C2211yescharacteristic
172#4786C2211yescharacteristic
173#4784C2211yescharacteristic
174#4783C2211yescharacteristic
175#4781C2211yescharacteristic
176#4780C2211yescharacteristic
177#4775C2211yescharacteristic
178#4774C2211yescharacteristic
179#4771C2211yescharacteristic
180#4771C2211yescharacteristic
181#4766C2211yescharacteristic
182#4762C2211yescharacteristic
183#4760C2211yescharacteristic
184#4760C2211yescharacteristic
185#4759C2211yescharacteristic
186#4757C2211yescharacteristic
187#4756C2211yescharacteristic
188#4714C2211yescharacteristic
189#4714C2211yescharacteristic
190#4710C2211yescharacteristic
191#4710C2211yescharacteristic
192#4708C2211yescharacteristic
193#4707C2211yescharacteristic
194#4706C2211yescharacteristic
195#4701C2211yescharacteristic
196C4×Dic12C2211yescharacteristic
197#4696C2211yescharacteristic
198C4×D24C2211yescharacteristic
199#4690C2211yescharacteristic
200#4688C2211yescharacteristic
201#4685C2211yescharacteristic
202#4682C2211yescharacteristic
203C8×Dic6C2211yescharacteristic
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#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#3137D311yescharacteristic, complemented
234#2969—31no—
235C2×C3×#41C2311yescharacteristic
236C22×C3×Q8C2311yescharacteristic
237C2×#239—21no—
238C2×#239C2311yescharacteristic
239C2×#239C2311yescharacteristic
240C2×D3×Q8—21no—
241C2×D3×Q8C2311yescharacteristic
242C2×#237C2311yescharacteristic
243C2×#235—21no—
244C2×C3×M16C2311yescharacteristic
245C22×C3×C8C2311yescharacteristic
246C3×C4⋊Q8—21no—
247C3×C4⋊Q8C2311yescharacteristic
248C3×C4⋊Q8C2311yescharacteristic
249C3×C4⋊Q8C2311yescharacteristic
250C3×C4⋊Q8C2311yescharacteristic
251C3×#125—21no—
252C3×#125C2311yescharacteristic
253C3×#125C2311yescharacteristic
254C3×#124C2311yescharacteristic
255C3×#124C2311yescharacteristic
256C3×#123—21no—
257C3×#123—21no—
258C3×C22⋊Q8—21no—
259C3×C22⋊Q8—21no—
260C3×C22⋊Q8—21no—
261C3×C22⋊Q8—21no—
262C3×#117C2311yescharacteristic
263C3×#117C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265#947—21no—
266#947—21no—
267#947C2311yescharacteristic
268#946—21no—
269#946—21no—
270#946—21no—
271#946—21no—
272#946C2311yescharacteristic
273#946C2311yescharacteristic
274#946C2311yescharacteristic
275Q8×Dic3C2311yescharacteristic
276Q8×Dic3C2311yescharacteristic
277Q8×Dic3C2311yescharacteristic
278#944—21no—
279#944—21no—
280#944—21no—
281#944—21no—
282#944C2311yescharacteristic
283#944C2311yescharacteristic
284C2×#216C2311yescharacteristic
285C2×#216C2311yescharacteristic
286C2×#216C2311yescharacteristic
287C2×#215C2311yescharacteristic
288C2×#215C2311yescharacteristic
289C2×#215C2311yescharacteristic
290#940—21no—
291#940C2311yescharacteristic
292#939—21no—
293#938—21no—
294#938C2311yescharacteristic
295#935—21no—
296D4×Dic3C2311yescharacteristic
297C2×#214C2311yescharacteristic
298C2×#213C2311yescharacteristic
299#930—21no—
300#930—21no—
301#930C2311yescharacteristic
302#930C2311yescharacteristic
303#929—21no—
304#929—21no—
305C4×#67—21no—
306C4×#67—21no—
307C4×#67—21no—
308C4×#67—21no—
309C4×#67C2311yescharacteristic
310C4×#67C2311yescharacteristic
311#924—21no—
312#924—21no—
313#924C2311yescharacteristic
314#924C2311yescharacteristic
315C2×Dic3⋊C4—21no—
316C2×Dic12C2311yescharacteristic
317C2×D24C2311yescharacteristic
318C2×#204C2311yescharacteristic
319C2×#204C2311yescharacteristic
320C2×ΓL(1,𝔽25)C2311yescharacteristic
321C2×ΓL(1,𝔽25)C2311yescharacteristic
322C2×ΓL(1,𝔽25)C2311yescharacteristic
323C2×D3×C8C2311yescharacteristic
324#898—21no—
325#898—21no—
326#898—21no—
327#898—21no—
328#898—21no—
329#898D411yescharacteristic
330#897—21no—
331#897—21no—
332#897—21no—
333#897C2311yescharacteristic
334#897C2311yescharacteristic
335#896—21no—
336#896—21no—
337#896—21no—
338#896—21no—
339#896—21no—
340#896—21no—
341#896—21no—
342#896—21no—
343#896—21no—
344#896D411yescharacteristic
345#895—21no—
346#895C2311yescharacteristic
347#895C2311yescharacteristic
348#894—21no—
349#894—21no—
350#894—21no—
351#894—21no—
352#894—21no—
353#894—21no—
354#894—21no—
355#894—21no—
356#894—21no—
357#894—21no—
358#894D411yescharacteristic
359#893—21no—
360#893C2311yescharacteristic
361#893C2311yescharacteristic
362#892—21no—
363#892—21no—
364#892—21no—
365#892C2311yescharacteristic
366D3×C4⋊C4—21no—
367D3×C4⋊C4—21no—
368D3×C4⋊C4—21no—
369D3×C4⋊C4C2311yescharacteristic
370D3×C4⋊C4C2311yescharacteristic
371D3×C4⋊C4C2311yescharacteristic
372#890—21no—
373#890—21no—
374#890—21no—
375#890C2311yescharacteristic
376#889—21no—
377#889—21no—
378#889—21no—
379#889—21no—
380#889D411yescharacteristic
381#888—21no—
382#888—21no—
383#888—21no—
384#888C2311yescharacteristic
385#888C2311yescharacteristic
386#888C2311yescharacteristic
387#887—21no—
388#887—21no—
389#887—21no—
390#887C2311yescharacteristic
391#887C2311yescharacteristic
392#886—21no—
393#886—21no—
394#885—21no—
395#885—21no—
396#885—21no—
397#885—21no—
398#885—21no—
399#885—21no—
400#885D411yescharacteristic
401#884—21no—
402#884—21no—
403#884—21no—
404#884—21no—
405#884D411yescharacteristic
406#883—21no—
407#883—21no—
408#883—21no—
409#883—21no—
410#883D411yescharacteristic
411#67⋊C4—21no—
412#67⋊C4—21no—
413#67⋊C4—21no—
414#67⋊C4—21no—
415#879—21no—
416#879—21no—
417#879D411yescharacteristic
418#878—21no—
419#878—21no—
420#875—21no—
421#875C2311yescharacteristic
422#875C2311yescharacteristic
423C4×D12C2311yescharacteristic
424C4×D12C2311yescharacteristic
425C4×D12C2311yescharacteristic
426#872—21no—
427#872—21no—
428#872C2311yescharacteristic
429C42×D3C2311yescharacteristic
430#870—21no—
431#869C2311yescharacteristic
432#869C2311yescharacteristic
433C4×Dic6C2311yescharacteristic
434C4×Dic6C2311yescharacteristic
435C4×Dic6C2311yescharacteristic
436C3×#103C2311yescharacteristic
437C3×#103C2311yescharacteristic
438C3×#103C2311yescharacteristic
439C3×#103C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#103C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#103C2311yescharacteristic
447C3×#103C2311yescharacteristic
448C3×#102C2311yescharacteristic
449C3×#102C2311yescharacteristic
450C3×#102C2311yescharacteristic
451C3×#102C2311yescharacteristic
452C3×#97C2311yescharacteristic
453C3×#97C2311yescharacteristic
454C3×C4×C8C2311yescharacteristic
455C3×C4×C8C2311yescharacteristic
456#835C2311yescharacteristic
457#835C2311yescharacteristic
458#835C2311yescharacteristic
459#835C2311yescharacteristic
460#835C2311yescharacteristic
461#835C2311yescharacteristic
462#832C2311yescharacteristic
463#832C2311yescharacteristic
464#830C2311yescharacteristic
465#830C2311yescharacteristic
466#821C2311yescharacteristic
467#821C2311yescharacteristic
468#821C2311yescharacteristic
469#821C2311yescharacteristic
470(C2×D3)⋊C8C2311yescharacteristic
471(C2×D3)⋊C8C2311yescharacteristic
472(C2×D3)⋊C8C2311yescharacteristic
473(C2×D3)⋊C8C2311yescharacteristic
474#818C2311yescharacteristic
475#818C2311yescharacteristic
476#818C2311yescharacteristic
477#818C2311yescharacteristic
478#816C2311yescharacteristic
479#816C2311yescharacteristic
480#816C2311yescharacteristic
481#816C2311yescharacteristic
482#815C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487C8×Dic3C2311yescharacteristic
488C8×Dic3C2311yescharacteristic
489C8×Dic3C2311yescharacteristic
490#810C2311yescharacteristic
491#810C2311yescharacteristic
492#810C2311yescharacteristic
493#810C2311yescharacteristic
494#809C2311yescharacteristic
495#809C2311yescharacteristic
496#809C2311yescharacteristic
497#809C2311yescharacteristic
498#808C2311yescharacteristic
499#808C2311yescharacteristic
500#807C2311yescharacteristic
501#807C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506C4⋊(C3⋊C8)C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508#803C2311yescharacteristic
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#548—31no—
529#547—31no—
530#547—31no—
531#547—31no—
532#547—31no—
533#547—61no—
534#544—31no—
535#544—61no—
536#544C2×D311yescharacteristic
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—61no—
548#536—61no—
549#536C2×D311yescharacteristic
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#491C2×D311yescharacteristic
563#491C2×D311yescharacteristic
564#489—31no—
565#489—31no—
566#489—31no—
567#489—31no—
568#489—31no—
569#489C2×D311yescharacteristic
570#489C2×D311yescharacteristic
571#488—31no—
572#488—31no—
573#488C2×D311yescharacteristic
574#488C2×D311yescharacteristic
575#487—31no—
576#487—31no—
577#487—31no—
578#487—31no—
579#487C2×D311yescharacteristic
580#487C2×D311yescharacteristic
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#484—31no—
591#482—31no—
592#482—31no—
593#480—31no—
594#480—31no—
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#477—31no—
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#468—31no—
615#467—31no—
616#467—31no—
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#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#449—31no—
641#448—31no—
642#448—31no—
643#446—31no—
644C8×Q8—31no—
645#440—31no—
646#440—31no—
647#440—31no—
648#440—31no—
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#435—31no—
662C8×D4—31no—
663#433—31no—
664#433—31no—
665#431—31no—
666#419—31no—
667#419C2×D311yescharacteristic
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×#103C2×D311yescharacteristic
678#405—31no—
679#405C2×D311yescharacteristic
680C4×M16—31no—
681C3×#41—41no—
682C3×#41—41no—
683C2×C3×Q8—21no—
684C2×C3×Q8—21no—
685C2×C3×Q8—21no—
686C2×C3×Q8—41no—
687C2×C3×Q8—41no—
688C2×C3×Q8C2411yescharacteristic
689C2×C3×Q8C2411yescharacteristic
690C2×C3×Q8C2411yescharacteristic
691C2×C3×D4—21no—
692C2×C3×D4C2411yescharacteristic
693C22×C3×C4—21no—
694C22×C3×C4—21no—
695C22×C3×C4—21no—
696C22×C3×C4C2411yescharacteristic
697C2×#67—21no—
698C2×#67—21no—
699C2×#67—21no—
700C2×#67—21no—
701C2×#67—21no—
702C2×#67—21no—
703C2×#67C2×D411yescharacteristic
704C2×#67C2×D411yescharacteristic
705C22×Dic3—21no—
706C22×Dic3—21no—
707#239—41no—
708#239—41no—
709#239—41no—
710#239—41no—
711#239—82no—
712D3×Q8—41no—
713D3×Q8—41no—
714D3×Q8—82no—
715#237—41no—
716#237—41no—
717#235—82no—
718C2×D12—21no—
719C2×D12—21no—
720C2×D12—21no—
721C2×D12—21no—
722C2×D12C2×D411yescharacteristic
723C2×D12C2411yescharacteristic
724C2×D12C2411yescharacteristic
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×D3—21no—
733C2×C4×D3—21no—
734C2×C4×D3—21no—
735C2×C4×D3C2×D411yescharacteristic
736C2×C4×D3C2×D411yescharacteristic
737C2×C4×D3C2411yescharacteristic
738C2×C4×D3C2411yescharacteristic
739C2×Dic6—21no—
740C2×Dic6—21no—
741C2×Dic6—21no—
742C2×Dic6—21no—
743C2×Dic6—21no—
744C2×Dic6—21no—
745C2×Dic6C2×D411yescharacteristic
746C2×Dic6C2411yescharacteristic
747C2×Dic6C2411yescharacteristic
748C3×M16—41no—
749C2×C3×C8—41no—
750C2×C3×C8C2411yescharacteristic
751C2×C3×C8C2411yescharacteristic
752C2×C3×C8C2411yescharacteristic
753C2×C3×C8C2411yescharacteristic
754C3×C4⋊C4—21no—
755C3×C4⋊C4—21no—
756C3×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
766C3×C4⋊C4C2×D411yescharacteristic
767C3×C4⋊C4C2411yescharacteristic
768C3×C4⋊C4C2411yescharacteristic
769C3×C4⋊C4C2411yescharacteristic
770C3×C4⋊C4C2411yescharacteristic
771C3×C22⋊C4—21no—
772C3×C22⋊C4—21no—
773C3×C22⋊C4—21no—
774C3×C22⋊C4—21no—
775C3×C22⋊C4—21no—
776C3×C22⋊C4C2×D411yescharacteristic
777C3×C22⋊C4C2×D411yescharacteristic
778C3×C42—21no—
779C3×C42C2411yescharacteristic
780C3×C42C2411yescharacteristic
781#217—21no—
782#217—21no—
783#217—21no—
784#217—21no—
785#217C2×D411yescharacteristic
786#217C2×D411yescharacteristic
787#216—41no—
788#216—41no—
789#216—41no—
790#215—41no—
791#215—41no—
792#215—41no—
793#214—41no—
794#213—41no—
795(C2×D3)⋊C4—21no—
796(C2×D3)⋊C4—21no—
797(C2×D3)⋊C4—21no—
798(C2×D3)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
816(C2×D3)⋊C4C2×D411yescharacteristic
817(C2×D3)⋊C4C2×D411yescharacteristic
818(C2×D3)⋊C4C2×D411yescharacteristic
819(C2×D3)⋊C4C2×D411yescharacteristic
820(C2×D3)⋊C4C2×D411yescharacteristic
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⋊Dic3C2×D411yescharacteristic
830C4⋊Dic3C2×D411yescharacteristic
831C4⋊Dic3C2411yescharacteristic
832C4⋊Dic3C2411yescharacteristic
833C4⋊Dic3C2411yescharacteristic
834C4⋊Dic3C2411yescharacteristic
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
873C2×C3⋊C8C2411yescharacteristic
874C2×C3⋊C8C2411yescharacteristic
875C2×C3⋊C8C2411yescharacteristic
876C2×C3⋊C8C2411yescharacteristic
877Dic12—41no—
878D24—41no—
879#204—41no—
880#204—41no—
881ΓL(1,𝔽25)—41no—
882ΓL(1,𝔽25)—41no—
883ΓL(1,𝔽25)—41no—
884D3×C8—41no—
885C2×#41—31no—
886C2×#41—31no—
887C2×#41—31no—
888C2×#41—61no—
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×SD16—31no—
903C2×SD16—31no—
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—21no—
913C4⋊Q8—31no—
914C4⋊Q8—31no—
915C4⋊Q8—31no—
916C4⋊Q8—31no—
917C4⋊Q8—31no—
918C4⋊Q8—31no—
919C4⋊Q8—31no—
920C4⋊Q8—61no—
921C4⋊Q8—61no—
922C4⋊Q8—61no—
923C4⋊Q8—61no—
924C4⋊Q8—61no—
925C4⋊Q8—61no—
926C4⋊Q8—61no—
927C4⋊Q8C22×D311yescharacteristic
928C4⋊Q8C22×D311yescharacteristic
929C4⋊Q8C22×D311yescharacteristic
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—21no—
943#125—31no—
944#125—31no—
945#125—61no—
946#125—61no—
947#125—61no—
948#125—61no—
949#125—61no—
950#125—61no—
951#125—61no—
952#125—61no—
953#125C22×D311yescharacteristic
954#125C22×D311yescharacteristic
955#124—31no—
956#124—31no—
957#124—31no—
958#124—31no—
959#124—61no—
960#124—61no—
961#124—61no—
962#124—61no—
963#124—61no—
964#124—61no—
965#124—61no—
966#124—61no—
967#124—61no—
968#124C22×D311yescharacteristic
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—21no—
996C22⋊Q8—21no—
997C22⋊Q8—31no—
998C22⋊Q8—31no—
999C22⋊Q8—31no—
1000C22⋊Q8—31no—
1001C22⋊Q8—31no—
1002C22⋊Q8—31no—
1003C22⋊Q8—31no—
1004C22⋊Q8—31no—
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⋊Q8—61no—
1025#121—31no—
1026#121—31no—
1027#121—31no—
1028#121—31no—
1029#121—31no—
1030#121—31no—
1031#121—61no—
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—31no—
1048C4×Q8—61no—
1049C4×Q8—61no—
1050C4×Q8—61no—
1051C4×D4—31no—
1052C4×D4—31no—
1053C4×D4—31no—
1054C4×D4—31no—
1055C4×D4—31no—
1056C4×D4—31no—
1057C4×D4—31no—
1058C4×D4—31no—
1059C4×D4—61no—
1060C4×D4—61no—
1061C4×D4—61no—
1062C4×D4—61no—
1063C4×D4—61no—
1064C4×D4—61no—
1065C4×D4—61no—
1066C4×D4—61no—
1067C4×D4—61no—
1068#117—31no—
1069#117—31no—
1070#117—61no—
1071#117—61no—
1072#117—61no—
1073#117—61no—
1074#117—61no—
1075#117C22×D311yescharacteristic
1076#117C22×D311yescharacteristic
1077C2×C4⋊C4—31no—
1078C2×C4⋊C4—31no—
1079C2×C4⋊C4—31no—
1080C2×C4⋊C4—61no—
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#107—31no—
1095#107—31no—
1096#106—31no—
1097#106—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8—31no—
1103C4⋊C8—31no—
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#103C22×D311yescharacteristic
1119#103C22×D311yescharacteristic
1120#103C22×D311yescharacteristic
1121#103C22×D311yescharacteristic
1122#103C22×D311yescharacteristic
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#102C22×D311yescharacteristic
1141#102C22×D311yescharacteristic
1142#102C22×D311yescharacteristic
1143#102C22×D311yescharacteristic
1144C22⋊C8—31no—
1145C22⋊C8—31no—
1146C22⋊C8—31no—
1147C22⋊C8—31no—
1148C22⋊C8—31no—
1149C22⋊C8—31no—
1150#97—31no—
1151#97—31no—
1152#97C22×D311yescharacteristic
1153#97C22×D311yescharacteristic
1154C4×C8—31no—
1155C4×C8—31no—
1156C4×C8—31no—
1157C4×C8—31no—
1158C4×C8C22×D311yescharacteristic
1159C4×C8C22×D311yescharacteristic
1160C23×C3—21no—
1161C23×C3C22×D411yescharacteristic
1162C22×D3—21no—
1163C22×D3—21no—
1164C22×D3C22×D411yescharacteristic
1165C22×D3C22×D411yescharacteristic
1166C3×Q8—21no—
1167C3×Q8—21no—
1168C3×Q8—21no—
1169C3×Q8—21no—
1170C3×Q8—21no—
1171C3×Q8—21no—
1172C3×Q8—81no—
1173C3×Q8—81no—
1174C3×Q8—81no—
1175C3×D4—21no—
1176C3×D4—21no—
1177C3×D4—81no—
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—81no—
1188C2×C3×C4—81no—
1189C2×C3×C4—81no—
1190C2×C3×C4C22×D411yescharacteristic
1191C2×C3×C4C22×D411yescharacteristic
1192C2×C3×C4C22×D411yescharacteristic
1193C2×C3×C4C22×D411yescharacteristic
1194C2×C3×C4C22×D411yescharacteristic
1195C2×C3×C4C2511yescharacteristic
1196#67—22no—
1197#67—41no—
1198#67—42no—
1199#67—81no—
1200#67—81no—
1201#67—81no—
1202#67—81no—
1203#67—81no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—81no—
1211C2×Dic3—81no—
1212C2×Dic3C22×D411yescharacteristic
1213C2×Dic3C22×D411yescharacteristic
1214C2×Dic3C22×D411yescharacteristic
1215C2×Dic3C22×D411yescharacteristic
1216C2×Dic3C22×D411yescharacteristic
1217C2×Dic3C22×D411yescharacteristic
1218D12—21no—
1219D12—21no—
1220D12—21no—
1221D12—21no—
1222D12—41no—
1223D12—42no—
1224D12—81no—
1225D12—81no—
1226D12—81no—
1227C4×D3—21no—
1228C4×D3—21no—
1229C4×D3—21no—
1230C4×D3—21no—
1231C4×D3—22no—
1232C4×D3—41no—
1233C4×D3—42no—
1234C4×D3—42no—
1235C4×D3—42no—
1236C4×D3—81no—
1237C4×D3—81no—
1238C4×D3—81no—
1239C4×D3—81no—
1240C4×D3—81no—
1241C4×D3—81no—
1242C4×D3—81no—
1243Dic6—22no—
1244Dic6—21no—
1245Dic6—21no—
1246Dic6—21no—
1247Dic6—21no—
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—121no—
1265#41—121no—
1266#41—121no—
1267#41—121no—
1268#41—121no—
1269#41—121no—
1270#41—242no—
1271#41—242no—
1272C2×Q8—21no—
1273C2×Q8—21no—
1274C2×Q8—21no—
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—121no—
1287C2×Q8—121no—
1288C2×Q8—242no—
1289C2×Q8C23×D311yescharacteristic
1290C2×Q8C23×D311yescharacteristic
1291C2×Q8C23×D311yescharacteristic
1292C2×D4—21no—
1293C2×D4—31no—
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×D4—61no—
1308C2×D4C23×D311yescharacteristic
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—31no—
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×C4—61no—
1328C22×C4C23×D311yescharacteristic
1329Q16—121no—
1330Q16—121no—
1331Q16—121no—
1332Q16—121no—
1333SD16—121no—
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—21no—
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⋊C4D3×D411yescharacteristic
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—31no—
1418C22⋊C4—31no—
1419C22⋊C4—31no—
1420C22⋊C4—31no—
1421C22⋊C4—31no—
1422C22⋊C4—31no—
1423C22⋊C4—31no—
1424C22⋊C4—31no—
1425C22⋊C4—61no—
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—31no—
1453C42—31no—
1454C42—31no—
1455C42—31no—
1456C42—61no—
1457C42—61no—
1458C42—61no—
1459C42—61no—
1460C42—61no—
1461C42—61no—
1462C42—61no—
1463C42—61no—
1464C42C23×D311yescharacteristic
1465C42C23×D311yescharacteristic
1466C22×C3—21no—
1467C22×C3—21no—
1468C22×C3—21no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3C23×D411yescharacteristic
1473C2×D3—21no—
1474C2×D3—21no—
1475C2×D3—21no—
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—21no—
1490C3×C4—41no—
1491C3×C4—41no—
1492C3×C4—41no—
1493C3×C4—41no—
1494C3×C4—41no—
1495C3×C4—41no—
1496C3×C4—41no—
1497C3×C4#58511yescharacteristic
1498C3×C4#58511yescharacteristic
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—31no—
1514C23—61no—
1515C23—61no—
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—81no—
1529Q8—81no—
1530Q8—81no—
1531Q8—241no—
1532Q8—241no—
1533Q8—241no—
1534Q8—241no—
1535Q8—241no—
1536Q8—241no—
1537D4—21no—
1538D4—21no—
1539D4—62no—
1540D4—61no—
1541D4—61no—
1542D4—61no—
1543D4—61no—
1544D4—81no—
1545D4—121no—
1546D4—122no—
1547D4—122no—
1548D4—121no—
1549D4—241no—
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—31no—
1567C2×C4—31no—
1568C2×C4—31no—
1569C2×C4—31no—
1570C2×C4—31no—
1571C2×C4—31no—
1572C2×C4—62no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—121no—
1587C2×C4—122no—
1588C2×C4—122no—
1589C2×C4—122no—
1590C2×C4—241no—
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×C4C2×D3×D411yescharacteristic
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—81no—
1615C2×C3#350011yescharacteristic
1616C2×C3C2×#57811yescharacteristic
1617C2×C3#358511yescharacteristic
1618D3—41no—
1619D3—41no—
1620D3—81no—
1621D3—81no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—61no—
1629C22—61no—
1630C22—61no—
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—21no—
1646C4—32no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
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#596411yescharacteristic
1667C3#6261911yescharacteristic, complemented, Sylow
1668C2—41no—
1669C2—81no—
1670C2—121no—
1671C2—121no—
1672C2—241no—
1673C2—241no—
1674C2#8607611yescharacteristic
1675C2#8720711yescharacteristic
1676C2D3×#57811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3137C2
socleC22×C3C23×D4
hypercenter#3137D3
hypocenterC3#62619
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3137

Complements

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

NH ≅ G/Ntype
1. #86601C2semidirect
2. #86351C2semidirect
3. C3×#3137C2semidirect
4. #83478C2semidirect
5. #83410C2semidirect
6. #81750C2semidirect
7. #81738C2semidirect
8. #81732C2semidirect
9. #81728C2semidirect
10. #81697C2semidirect
11. #81683C2semidirect
12. #81675C2semidirect
13. #81667C2semidirect
14. #81659C2semidirect
15. #81650C2semidirect
16. #81643C2semidirect
17. #81633C2semidirect
18. #81624C2semidirect
19. #81618C2semidirect
20. #81608C2semidirect
21. #81606C2semidirect
22. #78973C2semidirect
23. #78971C2semidirect
24. #78909C2semidirect
25. #78906C2semidirect
26. #78857C2semidirect
27. #78852C2semidirect
28. #78809C2semidirect
29. #78806C2semidirect
30. #78568C2semidirect
31. #78559C2semidirect
233. #3137D3semidirect
1667. C3#62619semidirect

Maximal subgroups

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

subgroupindex
#866012
#863512
C3×#31372
#834782
#834102
#817502
#817382
#817322
#817282
#816972
#816832
#816752
#816672
#816592
#816502
#816432
#816332
#816242
#816182
#816082
#816062
#789732
#789712
#789092
#789062
#788572
#788522
#788092
#788062
#785682
#785592
#626193