Finite Group Databasebeta

← #11675357

Subgroups — #11675357

Order 768.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#87020C211yesmaximal, characteristic, complemented
2#87019C211yesmaximal, characteristic, complemented
3C3×#3374C211yesmaximal, characteristic, complemented
4#83700C211yesmaximal, characteristic, complemented
5#83692C211yesmaximal, characteristic, complemented
6#81738C211yesmaximal, characteristic, complemented
7D3×#491C211yesmaximal, characteristic, complemented
8#81734C211yesmaximal, characteristic, complemented
9#81732C211yesmaximal, characteristic, complemented
10#81623C211yesmaximal, characteristic, complemented
11#81599C211yesmaximal, characteristic, complemented
12#81265C211yesmaximal, characteristic, complemented
13#81233C211yesmaximal, characteristic, complemented
14#81231C211yesmaximal, characteristic, complemented
15#81219C211yesmaximal, characteristic, complemented
16#81013C211yesmaximal, characteristic, complemented
17#81005C211yesmaximal, characteristic, complemented
18#80479C211yesmaximal, characteristic
19#80479C211yesmaximal, characteristic
20#80477C211yesmaximal, characteristic, complemented
21#80467C211yesmaximal, characteristic, complemented
22#80466C211yesmaximal, characteristic, complemented
23#80465C211yesmaximal, characteristic, complemented
24#79974C211yesmaximal, characteristic, complemented
25#79959C211yesmaximal, characteristic, complemented
26#79830C211yesmaximal, characteristic, complemented
27#79828C211yesmaximal, characteristic
28#79818C211yesmaximal, characteristic, complemented
29#79817C211yesmaximal, characteristic, complemented
30#79719C211yesmaximal, characteristic, complemented
31#79704C211yesmaximal, characteristic, complemented
32#61338—31nomaximal, Sylow
33C3×#557C2211yescharacteristic
34C3×#557C2211yescharacteristic
35C2×#919C2211yescharacteristic
36C2×#918C2211yescharacteristic
37C2×#918C2211yescharacteristic
38#5732C2211yescharacteristic
39#5730—21no—
40#5730C2211yescharacteristic
41#5729—21no—
42#5729C2211yescharacteristic
43#5724C2211yescharacteristic
44#5724C2211yescharacteristic
45D3×C4⋊Q8C2211yescharacteristic
46#5721C2211yescharacteristic
47#5721C2211yescharacteristic
48#5696—21no—
49#5696—21no—
50#5694—21no—
51#5693—21no—
52#5693—21no—
53#5690—21no—
54#5690—21no—
55#5690C2211yescharacteristic
56#5690C2211yescharacteristic
57#5689—21no—
58#5689C2211yescharacteristic
59#5688—21no—
60D3×#125—21no—
61D3×#125C2211yescharacteristic
62#5584C2211yescharacteristic
63#5581—21no—
64#5579—21no—
65#5579C2211yescharacteristic
66#5578—21no—
67#5578—21no—
68#5578C2211yescharacteristic
69#5574C2211yescharacteristic
70#5574C2211yescharacteristic
71C4×#239C2211yescharacteristic
72C4×#239C2211yescharacteristic
73#5572C2211yescharacteristic
74#5572C2211yescharacteristic
75#5570C2211yescharacteristic
76#5569C2211yescharacteristic
77#5569C2211yescharacteristic
78#5568C2211yescharacteristic
79#5568C2211yescharacteristic
80#5567C2211yescharacteristic
81C3×#491C2211yescharacteristic
82C3×#491C2211yescharacteristic
83C3×#487C2211yescharacteristic
84C3×#479C2211yescharacteristic
85C3×#479C2211yescharacteristic
86C3×#475C2211yescharacteristic
87C3×#462C2211yescharacteristic
88C3×#462C2211yescharacteristic
89C3×#462C2211yescharacteristic
90C3×#446C2211yescharacteristic
91C3×#441C2211yescharacteristic
92C3×#441C2211yescharacteristic
93C3×C4×Q16C2211yescharacteristic
94#5185C2211yescharacteristic
95#5185C2211yescharacteristic
96#5184C2211yescharacteristic
97#5184C2211yescharacteristic
98#5182C2211yescharacteristic
99#5182C2211yescharacteristic
100#5182C2211yescharacteristic
101#5182C2211yescharacteristic
102Dic3×Q16C2211yescharacteristic
103#5091C2211yescharacteristic
104#5089C2211yescharacteristic
105#5083C2211yescharacteristic
106#5083C2211yescharacteristic
107#5083C2211yescharacteristic
108#5082C2211yescharacteristic
109#5082C2211yescharacteristic
110#5079C2211yescharacteristic
111#5069C2211yescharacteristic
112#5068C2211yescharacteristic
113#5066C2211yescharacteristic
114#5063C2211yescharacteristic
115#5031C2211yescharacteristic
116#5030C2211yescharacteristic
117C4×#216C2211yescharacteristic
118#5028C2211yescharacteristic
119#5028C2211yescharacteristic
120#5026C2211yescharacteristic
121#5026C2211yescharacteristic
122#5026C2211yescharacteristic
123C4×#215C2211yescharacteristic
124#5024C2211yescharacteristic
125#5022C2211yescharacteristic
126#5022C2211yescharacteristic
127#5021C2211yescharacteristic
128#4891C2211yescharacteristic
129#4889C2211yescharacteristic
130#4881C2211yescharacteristic
131#4875C2211yescharacteristic
132#4871C2211yescharacteristic
133#4869C2211yescharacteristic
134#4861C2211yescharacteristic
135#4860C2211yescharacteristic
136#4857C2211yescharacteristic
137#4857C2211yescharacteristic
138#4854C2211yescharacteristic
139#4852C2211yescharacteristic
140#4851C2211yescharacteristic
141#4847C2211yescharacteristic
142#4844C2211yescharacteristic
143#4844C2211yescharacteristic
144#4841C2211yescharacteristic
145#4839C2211yescharacteristic
146#4839C2211yescharacteristic
147#4837C2211yescharacteristic
148#4831C2211yescharacteristic
149#4829C2211yescharacteristic
150#4828C2211yescharacteristic
151#4828C2211yescharacteristic
152#4819C2211yescharacteristic
153#4819C2211yescharacteristic
154#4818C2211yescharacteristic
155#4818C2211yescharacteristic
156#4818C2211yescharacteristic
157#4818C2211yescharacteristic
158#4817C2211yescharacteristic
159#4817C2211yescharacteristic
160#4817C2211yescharacteristic
161#4804C2211yescharacteristic
162#4804C2211yescharacteristic
163#4803C2211yescharacteristic
164#4803C2211yescharacteristic
165#4802C2211yescharacteristic
166#4802C2211yescharacteristic
167D3×#103C2211yescharacteristic
168D3×#103C2211yescharacteristic
169D3×#103C2211yescharacteristic
170D3×#103C2211yescharacteristic
171#4800C2211yescharacteristic
172#4800C2211yescharacteristic
173#4799C2211yescharacteristic
174#4799C2211yescharacteristic
175#4799C2211yescharacteristic
176#4797C2211yescharacteristic
177#4797C2211yescharacteristic
178#4797C2211yescharacteristic
179#4797C2211yescharacteristic
180#4797C2211yescharacteristic
181#4797C2211yescharacteristic
182#4796C2211yescharacteristic
183#4794C2211yescharacteristic
184#4794C2211yescharacteristic
185#4793C2211yescharacteristic
186#4792C2211yescharacteristic
187#4792C2211yescharacteristic
188#4791C2211yescharacteristic
189#4790C2211yescharacteristic
190#4789C2211yescharacteristic
191#4788C2211yescharacteristic
192#4714C2211yescharacteristic
193#4711C2211yescharacteristic
194#4710C2211yescharacteristic
195#4708C2211yescharacteristic
196D3×#97C2211yescharacteristic
197#4703C2211yescharacteristic
198#4701C2211yescharacteristic
199#4701C2211yescharacteristic
200#4697C2211yescharacteristic
201C4×#204C2211yescharacteristic
202#4689C2211yescharacteristic
203#4679C2211yescharacteristic
204#3509—31no—
205#3504—31no—
206#3377—31no—
207#3377—31no—
208#3377—31no—
209#3377—31no—
210#3376—31no—
211#3376—31no—
212#3376—31no—
213#3376—31no—
214#3374—31no—
215#3374—31no—
216#3374—31no—
217#3374D311yescharacteristic, complemented
218#3372—31no—
219#3372—31no—
220#3372—31no—
221#3372—31no—
222#3137—31no—
223#3137—31no—
224C2×#491—31no—
225#3082—31no—
226#3082—31no—
227#3080—31no—
228#3046—31no—
229#3046—31no—
230#3039—31no—
231#2961—31no—
232#2947—31no—
233#2947—31no—
234#2943—31no—
235C2×#239C2311yescharacteristic
236C2×#239C2311yescharacteristic
237C2×D3×Q8C2311yescharacteristic
238C2×D3×Q8C2311yescharacteristic
239C2×C3×Q16C2311yescharacteristic
240C2×C3×Q16C2311yescharacteristic
241C2×C3×Q16C2311yescharacteristic
242C3×C4⋊Q8—21no—
243C3×C4⋊Q8C2311yescharacteristic
244C3×C4⋊Q8C2311yescharacteristic
245C3×C4⋊Q8C2311yescharacteristic
246C3×C4⋊Q8C2311yescharacteristic
247C3×#125—21no—
248C3×#125—21no—
249C3×#125—21no—
250C3×#125—21no—
251C3×#125—21no—
252C3×#125C2311yescharacteristic
253C3×#125C2311yescharacteristic
254C3×C4×Q8—21no—
255C3×C4×Q8—21no—
256C3×C4×Q8C2311yescharacteristic
257C3×C4×Q8C2311yescharacteristic
258C3×C4×Q8C2311yescharacteristic
259C3×C4×Q8C2311yescharacteristic
260C3×C4×Q8C2311yescharacteristic
261C3×C4×Q8C2311yescharacteristic
262C3×C4×Q8C2311yescharacteristic
263#947C2311yescharacteristic
264#947C2311yescharacteristic
265#946—21no—
266#946—21no—
267#946—21no—
268#946—21no—
269#946—21no—
270#946D411yescharacteristic
271Q8×Dic3C2311yescharacteristic
272Q8×Dic3C2311yescharacteristic
273Q8×Dic3C2311yescharacteristic
274Q8×Dic3C2311yescharacteristic
275Q8×Dic3C2311yescharacteristic
276Q8×Dic3C2311yescharacteristic
277#944—21no—
278#944D411yescharacteristic
279#944C2311yescharacteristic
280#944C2311yescharacteristic
281#944C2311yescharacteristic
282#944C2311yescharacteristic
283C2×#216C2311yescharacteristic
284C2×#216C2311yescharacteristic
285C2×#215C2311yescharacteristic
286C2×#215C2311yescharacteristic
287C2×#215C2311yescharacteristic
288C2×#215C2311yescharacteristic
289#919—24no—
290#918—24no—
291#918—24no—
292C2×D24C2311yescharacteristic
293C2×#204C2311yescharacteristic
294C2×#204C2311yescharacteristic
295C2×ΓL(1,𝔽25)C2311yescharacteristic
296C2×ΓL(1,𝔽25)C2311yescharacteristic
297C2×D3×C8C2311yescharacteristic
298C2×D3×C8C2311yescharacteristic
299#898—21no—
300#898—21no—
301#898—21no—
302#898—21no—
303#898—21no—
304#898—21no—
305#897—21no—
306#897—21no—
307#897—21no—
308#897—21no—
309#897—21no—
310#897D411yescharacteristic
311#896—21no—
312#896—21no—
313#896—21no—
314#896—21no—
315#896—21no—
316#896—21no—
317#896—21no—
318#896—21no—
319#896—21no—
320#896—21no—
321#896—21no—
322#896—21no—
323#896—21no—
324#896—21no—
325#896D411yescharacteristic
326#896D411yescharacteristic
327#894—21no—
328#894—21no—
329#894—21no—
330#894—21no—
331#893—21no—
332#893—21no—
333#893—21no—
334#893—21no—
335#893C2311yescharacteristic
336#893C2311yescharacteristic
337#893C2311yescharacteristic
338#893C2311yescharacteristic
339#892—21no—
340#892—21no—
341#892—21no—
342#892—21no—
343#892—21no—
344#892—21no—
345#892C2311yescharacteristic
346#892C2311yescharacteristic
347D3×C4⋊C4—21no—
348D3×C4⋊C4—21no—
349D3×C4⋊C4—21no—
350D3×C4⋊C4—21no—
351D3×C4⋊C4—21no—
352D3×C4⋊C4—21no—
353D3×C4⋊C4—21no—
354D3×C4⋊C4—21no—
355D3×C4⋊C4—21no—
356D3×C4⋊C4—21no—
357D3×C4⋊C4C2311yescharacteristic
358D3×C4⋊C4C2311yescharacteristic
359#890—21no—
360#890—21no—
361#890—21no—
362#890—21no—
363#890—21no—
364#890—21no—
365#890C2311yescharacteristic
366#890C2311yescharacteristic
367#890C2311yescharacteristic
368#890C2311yescharacteristic
369#889—21no—
370#889—21no—
371#889—21no—
372#889—21no—
373#889—21no—
374#889—21no—
375#889—21no—
376#889—21no—
377#889—21no—
378#889—21no—
379#889D411yescharacteristic
380#889D411yescharacteristic
381#888—21no—
382#888—21no—
383#888—21no—
384#888—21no—
385#888—21no—
386#888D411yescharacteristic
387#888C2311yescharacteristic
388#888C2311yescharacteristic
389#887—21no—
390#887—21no—
391#887—21no—
392#887—21no—
393#887C2311yescharacteristic
394#887C2311yescharacteristic
395#876—21no—
396#876—21no—
397#875C2311yescharacteristic
398#875C2311yescharacteristic
399C4×D12—21no—
400C4×D12—21no—
401C4×D12—21no—
402C4×D12—21no—
403C4×D12C2311yescharacteristic
404C4×D12C2311yescharacteristic
405C4×D12C2311yescharacteristic
406C4×D12C2311yescharacteristic
407#872—21no—
408#872—21no—
409#872—21no—
410#872—21no—
411#872—21no—
412#872—21no—
413#872C2311yescharacteristic
414#872C2311yescharacteristic
415C42×D3—21no—
416C42×D3—21no—
417C42×D3C2311yescharacteristic
418#870—21no—
419#870—21no—
420#870—21no—
421#870C2311yescharacteristic
422#870C2311yescharacteristic
423#869—21no—
424#869C2311yescharacteristic
425#869C2311yescharacteristic
426C4×Dic6—21no—
427C4×Dic6—21no—
428C4×Dic6—21no—
429C4×Dic6—21no—
430C4×Dic6—21no—
431C4×Dic6—21no—
432C4×Dic6C2311yescharacteristic
433C4×Dic6C2311yescharacteristic
434C4×Dic6C2311yescharacteristic
435C4×Dic6C2311yescharacteristic
436C4×Dic6C2311yescharacteristic
437C3×#107C2311yescharacteristic
438C3×#106C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×C4⋊C8C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×C4⋊C8C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#103C2311yescharacteristic
447C3×#103C2311yescharacteristic
448C3×#103C2311yescharacteristic
449C3×#103C2311yescharacteristic
450C3×#103C2311yescharacteristic
451C3×#103C2311yescharacteristic
452C3×#103C2311yescharacteristic
453C3×#97C2311yescharacteristic
454C3×#97C2311yescharacteristic
455C3×C4×C8C2311yescharacteristic
456#835C2311yescharacteristic
457#835C2311yescharacteristic
458#835C2311yescharacteristic
459#835C2311yescharacteristic
460#835C2311yescharacteristic
461#835C2311yescharacteristic
462#835C2311yescharacteristic
463#835C2311yescharacteristic
464#835C2311yescharacteristic
465#835C2311yescharacteristic
466#821C2311yescharacteristic
467#821C2311yescharacteristic
468#821C2311yescharacteristic
469#821C2311yescharacteristic
470#818C2311yescharacteristic
471#817C2311yescharacteristic
472#817C2311yescharacteristic
473#816C2311yescharacteristic
474#816C2311yescharacteristic
475#816C2311yescharacteristic
476#816C2311yescharacteristic
477#816C2311yescharacteristic
478#816C2311yescharacteristic
479#815C2311yescharacteristic
480#815C2311yescharacteristic
481#815C2311yescharacteristic
482#815C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487Dic3⋊C8C2311yescharacteristic
488Dic3⋊C8C2311yescharacteristic
489C8×Dic3C2311yescharacteristic
490C8×Dic3C2311yescharacteristic
491#810C2311yescharacteristic
492#810C2311yescharacteristic
493#810C2311yescharacteristic
494#810C2311yescharacteristic
495#810C2311yescharacteristic
496#810C2311yescharacteristic
497#809C2311yescharacteristic
498#809C2311yescharacteristic
499#809C2311yescharacteristic
500#809C2311yescharacteristic
501#808C2311yescharacteristic
502#808C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506#807C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509C4⋊(C3⋊C8)C2311yescharacteristic
510#803C2311yescharacteristic
511#803C2311yescharacteristic
512C4×C3⋊C8C2311yescharacteristic
513C2×#137—31no—
514C2×#137—31no—
515C2×#135—31no—
516#557—31no—
517#557—31no—
518#557—31no—
519#557—31no—
520#557—31no—
521#557—31no—
522#557C2×D311yescharacteristic
523#557C2×D311yescharacteristic
524#556—31no—
525#556—31no—
526#556—31no—
527#556—31no—
528#554—31no—
529#554—31no—
530#554—31no—
531#554—31no—
532#554—61no—
533#554—61no—
534#554—61no—
535#554—61no—
536#552—61no—
537#552—61no—
538#552—61no—
539#552—61no—
540#544—31no—
541#544—31no—
542#544—61no—
543#544—61no—
544#541—61no—
545#541—61no—
546#536—31no—
547#536—31no—
548#533—31no—
549#533—61no—
550#533—61no—
551#533—61no—
552C2×C4⋊Q8—31no—
553C2×#125—31no—
554C2×#125—61no—
555#520—31no—
556#520—31no—
557#519—31no—
558#519—31no—
559C4×#41—31no—
560C4×#41—31no—
561#491—31no—
562#491—31no—
563#491—31no—
564#491—31no—
565#491—31no—
566#491—31no—
567#491—31no—
568#491—31no—
569#491—31no—
570#491—31no—
571#491C2×D311yescharacteristic
572#491C2×D311yescharacteristic
573#489—31no—
574#489—31no—
575#489—31no—
576#489—31no—
577#488—31no—
578#488—31no—
579#488—31no—
580#488—31no—
581#487—31no—
582#487—31no—
583#487—31no—
584#487C2×D311yescharacteristic
585#479—31no—
586#479—31no—
587#479—31no—
588#479—31no—
589#479—31no—
590#479—31no—
591#479—31no—
592#479—31no—
593#479—31no—
594#479—31no—
595#479C2×D311yescharacteristic
596#479C2×D311yescharacteristic
597#478—31no—
598#478—31no—
599#478—31no—
600#478—31no—
601#477—31no—
602#477—31no—
603#477—31no—
604#477—31no—
605#475—31no—
606#475—31no—
607#475—31no—
608#475C2×D311yescharacteristic
609#464—31no—
610#464—31no—
611#464—31no—
612#464—31no—
613#463—31no—
614#463—31no—
615#463—31no—
616#463—31no—
617#462—31no—
618#462—31no—
619#462—31no—
620#462—31no—
621#462—31no—
622#462C2×D311yescharacteristic
623#462C2×D311yescharacteristic
624#462C2×D311yescharacteristic
625#461—31no—
626#461—31no—
627#461—31no—
628#461—31no—
629#461—31no—
630#461—31no—
631#461—31no—
632#461—31no—
633#446—31no—
634#446—31no—
635#446—31no—
636#446—31no—
637#446—31no—
638#446—31no—
639#446—31no—
640#446C2×D311yescharacteristic
641#442—31no—
642#442—31no—
643#441—31no—
644#441—31no—
645#441—31no—
646#441—31no—
647#441C2×D311yescharacteristic
648#441C2×D311yescharacteristic
649#440—31no—
650#440—31no—
651#440—31no—
652#440—31no—
653#440—31no—
654#440—31no—
655#440—31no—
656#440—31no—
657C4×Q16—31no—
658C4×Q16—31no—
659C4×Q16—31no—
660C4×Q16C2×D311yescharacteristic
661C4×SD16—31no—
662C4×SD16—31no—
663C4×SD16—31no—
664C4×SD16—31no—
665#428—31no—
666#428—31no—
667#427—31no—
668#424—31no—
669#424—31no—
670#423—31no—
671#419—31no—
672#419—31no—
673#417—31no—
674#417—31no—
675#416—31no—
676#416—31no—
677C2×#103—31no—
678C2×#103—31no—
679C2×#103—31no—
680C2×#103—31no—
681#405—31no—
682#405—31no—
683C2×#97—31no—
684C2×C3×Q8—21no—
685C2×C3×Q8C2×D411yescharacteristic
686C2×C3×Q8C2411yescharacteristic
687C2×C3×Q8C2411yescharacteristic
688C2×C3×Q8C2411yescharacteristic
689C2×C3×Q8C2411yescharacteristic
690#239—22no—
691#239—22no—
692#239—22no—
693#239#4114yes—
694D3×Q8—22no—
695D3×Q8—22no—
696D3×Q8—22no—
697D3×Q8—22no—
698C2×D12—21no—
699C2×D12—21no—
700C2×D12C2411yescharacteristic
701C2×D12C2411yescharacteristic
702C2×C4×D3—21no—
703C2×C4×D3—21no—
704C2×C4×D3—21no—
705C2×C4×D3—21no—
706C2×C4×D3—21no—
707C2×C4×D3—21no—
708C2×C4×D3—21no—
709C2×C4×D3—21no—
710C2×C4×D3—21no—
711C2×C4×D3—21no—
712C2×C4×D3—21no—
713C2×C4×D3—21no—
714C2×C4×D3—21no—
715C2×C4×D3—21no—
716C2×C4×D3C2×D411yescharacteristic
717C2×C4×D3C2×D411yescharacteristic
718C2×C4×D3C2411yescharacteristic
719C2×Dic6—21no—
720C2×Dic6—21no—
721C2×Dic6—21no—
722C2×Dic6—21no—
723C2×Dic6—21no—
724C2×Dic6C2×D411yescharacteristic
725C2×Dic6C2×D411yescharacteristic
726C2×Dic6C2×D411yescharacteristic
727C2×Dic6C2411yescharacteristic
728C2×Dic6C2411yescharacteristic
729C3×Q16—22no—
730C3×Q16—22no—
731C3×Q16—22no—
732C2×C3×C8C2411yescharacteristic
733C2×C3×C8C2411yescharacteristic
734C2×C3×C8C2411yescharacteristic
735C2×C3×C8C2411yescharacteristic
736C3×C4⋊C4—21no—
737C3×C4⋊C4—21no—
738C3×C4⋊C4—21no—
739C3×C4⋊C4—21no—
740C3×C4⋊C4—21no—
741C3×C4⋊C4—21no—
742C3×C4⋊C4—21no—
743C3×C4⋊C4—21no—
744C3×C4⋊C4—21no—
745C3×C4⋊C4—21no—
746C3×C4⋊C4—21no—
747C3×C4⋊C4—21no—
748C3×C4⋊C4—21no—
749C3×C4⋊C4—21no—
750C3×C4⋊C4—21no—
751C3×C4⋊C4—21no—
752C3×C4⋊C4—21no—
753C3×C4⋊C4C2×D411yescharacteristic
754C3×C4⋊C4C2×D411yescharacteristic
755C3×C4⋊C4C2×D411yescharacteristic
756C3×C4⋊C4C2411yescharacteristic
757C3×C4⋊C4C2411yescharacteristic
758C3×C4⋊C4C2411yescharacteristic
759C3×C4⋊C4C2411yescharacteristic
760C3×C42—21no—
761C3×C42—21no—
762C3×C42—21no—
763C3×C42—21no—
764C3×C42—21no—
765C3×C42—21no—
766C3×C42C2411yescharacteristic
767C3×C42C2411yescharacteristic
768C3×C42C2411yescharacteristic
769#216—22no—
770#216—22no—
771#215—22no—
772#215—22no—
773#215—22no—
774#215—22no—
775(C2×D3)⋊C4—21no—
776(C2×D3)⋊C4—21no—
777(C2×D3)⋊C4—21no—
778(C2×D3)⋊C4—21no—
779(C2×D3)⋊C4—21no—
780(C2×D3)⋊C4—21no—
781(C2×D3)⋊C4—21no—
782(C2×D3)⋊C4—21no—
783(C2×D3)⋊C4—21no—
784(C2×D3)⋊C4—21no—
785(C2×D3)⋊C4—21no—
786(C2×D3)⋊C4—21no—
787(C2×D3)⋊C4—21no—
788(C2×D3)⋊C4—21no—
789(C2×D3)⋊C4—21no—
790(C2×D3)⋊C4—21no—
791(C2×D3)⋊C4—21no—
792(C2×D3)⋊C4—21no—
793(C2×D3)⋊C4C2×D411yescharacteristic
794(C2×D3)⋊C4C2×D411yescharacteristic
795(C2×D3)⋊C4C2×D411yescharacteristic
796(C2×D3)⋊C4C2×D411yescharacteristic
797C4⋊Dic3—21no—
798C4⋊Dic3—21no—
799C4⋊Dic3—21no—
800C4⋊Dic3—21no—
801C4⋊Dic3—21no—
802C4⋊Dic3—21no—
803C4⋊Dic3—21no—
804C4⋊Dic3—21no—
805C4⋊Dic3—21no—
806C4⋊Dic3—21no—
807C4⋊Dic3—21no—
808C4⋊Dic3—21no—
809C4⋊Dic3—21no—
810C4⋊Dic3C2×D411yescharacteristic
811C4⋊Dic3C2×D411yescharacteristic
812C4⋊Dic3C2×D411yescharacteristic
813C4⋊Dic3C2411yescharacteristic
814C4⋊Dic3C2411yescharacteristic
815C4⋊Dic3C2411yescharacteristic
816C4⋊Dic3C2411yescharacteristic
817Dic3⋊C4—21no—
818Dic3⋊C4—21no—
819Dic3⋊C4—21no—
820Dic3⋊C4—21no—
821Dic3⋊C4—21no—
822Dic3⋊C4—21no—
823Dic3⋊C4—21no—
824Dic3⋊C4—21no—
825Dic3⋊C4—21no—
826Dic3⋊C4—21no—
827Dic3⋊C4—21no—
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⋊C4C2×D411yescharacteristic
842Dic3⋊C4C2×D411yescharacteristic
843Dic3⋊C4C2×D411yescharacteristic
844Dic3⋊C4C2×D411yescharacteristic
845Dic3⋊C4C2×D411yescharacteristic
846Dic3⋊C4C2×D411yescharacteristic
847Dic3⋊C4C2×D411yescharacteristic
848Dic3⋊C4C2×D411yescharacteristic
849Dic3⋊C4C2×D411yescharacteristic
850Dic3⋊C4C2×D411yescharacteristic
851C4×Dic3—21no—
852C4×Dic3—21no—
853C4×Dic3—21no—
854C4×Dic3—21no—
855C4×Dic3—21no—
856C4×Dic3—21no—
857C4×Dic3—21no—
858C4×Dic3—21no—
859C4×Dic3—21no—
860C4×Dic3—21no—
861C4×Dic3—21no—
862C4×Dic3—21no—
863C4×Dic3C2×D411yescharacteristic
864C4×Dic3C2×D411yescharacteristic
865C4×Dic3C2411yescharacteristic
866C4×Dic3C2411yescharacteristic
867C4×Dic3C2411yescharacteristic
868C2×C3⋊C8C2411yescharacteristic
869C2×C3⋊C8C2411yescharacteristic
870C2×C3⋊C8C2411yescharacteristic
871C2×C3⋊C8C2411yescharacteristic
872D24—22no—
873#204—22no—
874#204—22no—
875ΓL(1,𝔽25)—22no—
876ΓL(1,𝔽25)—22no—
877D3×C8—22no—
878D3×C8—22no—
879C2×#41—31no—
880C2×#41—31no—
881C22×Q8—31no—
882C22×Q8—31no—
883#137—64no—
884#137—64no—
885#135—64no—
886C2×Q16—31no—
887C2×Q16—31no—
888C2×Q16C22×D311yescharacteristic
889C2×Q16C22×D311yescharacteristic
890C2×Q16C22×D311yescharacteristic
891C2×SD16—31no—
892C2×SD16—31no—
893C2×SD16—31no—
894C2×SD16—31no—
895C2×SD16—31no—
896C2×SD16—31no—
897C2×D8—31no—
898C2×M16—31no—
899C2×M16—31no—
900C22×C8—31no—
901C22×C8—31no—
902C4⋊Q8—21no—
903C4⋊Q8—31no—
904C4⋊Q8—31no—
905C4⋊Q8—31no—
906C4⋊Q8—31no—
907C4⋊Q8—31no—
908C4⋊Q8—31no—
909C4⋊Q8—31no—
910C4⋊Q8—31no—
911C4⋊Q8—31no—
912C4⋊Q8—31no—
913C4⋊Q8—61no—
914C4⋊Q8—61no—
915C4⋊Q8—61no—
916C4⋊Q8—61no—
917C4⋊Q8—61no—
918C4⋊Q8—61no—
919C4⋊Q8—61no—
920C4⋊Q8C22×D311yescharacteristic
921C4⋊Q8C22×D311yescharacteristic
922C4⋊Q8C22×D311yescharacteristic
923C4⋊Q8C22×D311yescharacteristic
924#126—61no—
925#126—61no—
926#126—61no—
927#126—61no—
928#126—61no—
929#126—61no—
930#126—61no—
931#126—61no—
932#125—21no—
933#125—21no—
934#125—21no—
935#125—21no—
936#125—21no—
937#125—31no—
938#125—31no—
939#125—31no—
940#125—31no—
941#125—31no—
942#125—31no—
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#125—61no—
954#125—61no—
955#125—61no—
956#125—61no—
957#125—61no—
958#125—61no—
959#125—61no—
960#125—61no—
961#125—61no—
962#125—61no—
963#125—61no—
964#125C22×D311yescharacteristic
965#125C22×D311yescharacteristic
966#124—31no—
967#124—31no—
968#124—31no—
969#124—31no—
970#123—61no—
971#123—61no—
972#123—61no—
973#123—61no—
974C22⋊Q8—31no—
975C22⋊Q8—31no—
976C22⋊Q8—31no—
977C22⋊Q8—31no—
978C22⋊Q8—61no—
979C22⋊Q8—61no—
980C22⋊Q8—61no—
981C22⋊Q8—61no—
982C22⋊Q8—61no—
983C22⋊Q8—61no—
984C22⋊Q8—61no—
985C22⋊Q8—61no—
986C22⋊Q8—61no—
987C22⋊Q8—61no—
988C22⋊Q8—61no—
989C22⋊Q8—61no—
990C22⋊Q8—61no—
991C22⋊Q8—61no—
992C22⋊Q8—61no—
993C22⋊Q8—61no—
994C22⋊Q8—61no—
995C22⋊Q8—61no—
996C22⋊Q8—61no—
997C22⋊Q8—61no—
998C22⋊Q8—61no—
999C22⋊Q8—61no—
1000C22⋊Q8—61no—
1001C22⋊Q8—61no—
1002C4×Q8—21no—
1003C4×Q8—21no—
1004C4×Q8—31no—
1005C4×Q8—31no—
1006C4×Q8—31no—
1007C4×Q8—31no—
1008C4×Q8—31no—
1009C4×Q8—31no—
1010C4×Q8—31no—
1011C4×Q8—31no—
1012C4×Q8—31no—
1013C4×Q8—31no—
1014C4×Q8—31no—
1015C4×Q8—31no—
1016C4×Q8—31no—
1017C4×Q8—61no—
1018C4×Q8—61no—
1019C4×Q8—61no—
1020C4×Q8—61no—
1021C4×Q8—61no—
1022C4×Q8—61no—
1023C4×Q8—61no—
1024C4×Q8—61no—
1025C4×Q8—61no—
1026C4×Q8—61no—
1027C4×Q8C22×D311yescharacteristic
1028C4×Q8C22×D311yescharacteristic
1029C4×Q8C22×D311yescharacteristic
1030C4×Q8C22×D311yescharacteristic
1031C4×Q8C22×D311yescharacteristic
1032C4×Q8C22×D311yescharacteristic
1033C4×Q8C22×D311yescharacteristic
1034C4×D4—31no—
1035C4×D4—31no—
1036C4×D4—31no—
1037C4×D4—31no—
1038C4×D4—31no—
1039C4×D4—31no—
1040C4×D4—31no—
1041C4×D4—31no—
1042C4×D4—61no—
1043C4×D4—61no—
1044C4×D4—61no—
1045C4×D4—61no—
1046C4×D4—61no—
1047C4×D4—61no—
1048C4×D4—61no—
1049C4×D4—61no—
1050#117—31no—
1051#117—31no—
1052#117—31no—
1053#117—31no—
1054#117—61no—
1055#117—61no—
1056#117—61no—
1057#117—61no—
1058#117—61no—
1059#117—61no—
1060#117—61no—
1061#117—61no—
1062#117—61no—
1063#117—61no—
1064#117—61no—
1065#117—61no—
1066C2×C4⋊C4—31no—
1067C2×C4⋊C4—31no—
1068C2×C4⋊C4—61no—
1069C2×C4⋊C4—61no—
1070C2×C4⋊C4—61no—
1071C2×C4⋊C4—61no—
1072C2×C4⋊C4—61no—
1073C2×C4⋊C4—61no—
1074C2×C4⋊C4—61no—
1075C2×C4⋊C4—61no—
1076C2×C4⋊C4—61no—
1077C2×C4⋊C4—61no—
1078C2×C42—31no—
1079C2×C42—61no—
1080C2×C42—61no—
1081#107—31no—
1082#107—31no—
1083#107—31no—
1084#107—31no—
1085#107—31no—
1086#107C22×D311yescharacteristic
1087#106—31no—
1088#106—31no—
1089#106—31no—
1090#106—31no—
1091#106C22×D311yescharacteristic
1092#106C22×D311yescharacteristic
1093C4⋊C8—31no—
1094C4⋊C8—31no—
1095C4⋊C8—31no—
1096C4⋊C8—31no—
1097C4⋊C8—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8C22×D311yescharacteristic
1103C4⋊C8C22×D311yescharacteristic
1104C4⋊C8C22×D311yescharacteristic
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#103—31no—
1125#103—31no—
1126#103—31no—
1127#103C22×D311yescharacteristic
1128#103C22×D311yescharacteristic
1129#103C22×D311yescharacteristic
1130#103C22×D311yescharacteristic
1131#103C22×D311yescharacteristic
1132#103C22×D311yescharacteristic
1133#103C22×D311yescharacteristic
1134#103C22×D311yescharacteristic
1135#103C22×D311yescharacteristic
1136#103C22×D311yescharacteristic
1137#102—31no—
1138#102—31no—
1139#102—31no—
1140#102—31no—
1141#102—31no—
1142#102—31no—
1143#102—31no—
1144#102—31no—
1145#97—31no—
1146#97—31no—
1147#97—31no—
1148#97—31no—
1149#97—31no—
1150#97—31no—
1151#97C22×D311yescharacteristic
1152#97C22×D311yescharacteristic
1153C4×C8—31no—
1154C4×C8—31no—
1155C4×C8—31no—
1156C4×C8C22×D311yescharacteristic
1157C22×D3—21no—
1158C22×D3—21no—
1159C22×D3C22×D411yescharacteristic
1160C3×Q8—21no—
1161C3×Q8—21no—
1162C3×Q8—21no—
1163C3×Q8—21no—
1164C3×Q8—21no—
1165C3×Q8—21no—
1166C3×Q8—21no—
1167C3×Q8—41no—
1168C3×Q8—81no—
1169C3×Q8C2×#4112yes—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4C22×D411yescharacteristic
1179C2×C3×C4C22×D411yescharacteristic
1180C2×C3×C4C22×D411yescharacteristic
1181C2×C3×C4C22×D411yescharacteristic
1182C2×C3×C4C22×D411yescharacteristic
1183C2×C3×C4C22×D411yescharacteristic
1184C2×C3×C4C2511yescharacteristic
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3C22×D411yescharacteristic
1192C2×Dic3C22×D411yescharacteristic
1193C2×Dic3C22×D411yescharacteristic
1194C2×Dic3C22×D411yescharacteristic
1195C2×Dic3C22×D411yescharacteristic
1196C2×Dic3C22×D411yescharacteristic
1197C2×Dic3C22×D411yescharacteristic
1198D12—24no—
1199D12—21no—
1200D12—21no—
1201D12—21no—
1202D12—42no—
1203D12C2×#4112yes—
1204C4×D3—24no—
1205C4×D3—41no—
1206C4×D3—41no—
1207C4×D3—42no—
1208C4×D3—42no—
1209C4×D3—42no—
1210C4×D3—42no—
1211C4×D3—42no—
1212C4×D3—81no—
1213C4×D3—81no—
1214C4×D3—81no—
1215C4×D3—81no—
1216C4×D3—81no—
1217C4×D3—81no—
1218C4×D3—81no—
1219C4×D3—81no—
1220C4×D3C2×#4112yes—
1221C4×D32−1+412yes—
1222Dic6—21no—
1223Dic6—21no—
1224Dic6—21no—
1225Dic6—21no—
1226Dic6—41no—
1227Dic6—41no—
1228Dic6—41no—
1229Dic6—42no—
1230Dic6—42no—
1231Dic6—81no—
1232Dic6—81no—
1233Dic6—81no—
1234C3×C8—21no—
1235C3×C8—21no—
1236C3×C8—21no—
1237C3×C8—21no—
1238C3⋊C8—21no—
1239C3⋊C8—21no—
1240C3⋊C8—21no—
1241C3⋊C8—21no—
1242#41—34no—
1243#41—62no—
1244#41—62no—
1245#41—62no—
1246C2×Q8—21no—
1247C2×Q8—31no—
1248C2×Q8—31no—
1249C2×Q8—31no—
1250C2×Q8—31no—
1251C2×Q8—31no—
1252C2×Q8—61no—
1253C2×Q8—61no—
1254C2×Q8—61no—
1255C2×Q8—61no—
1256C2×Q8—62no—
1257C2×Q8—62no—
1258C2×Q8—62no—
1259C2×Q8—62no—
1260C2×Q8—61no—
1261C2×Q8D3×D411yescharacteristic
1262C2×Q8C23×D311yescharacteristic
1263C2×Q8C23×D311yescharacteristic
1264C2×Q8C23×D311yescharacteristic
1265C2×Q8C23×D311yescharacteristic
1266C2×D4—31no—
1267C2×D4—31no—
1268C2×D4—61no—
1269C2×D4—61no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—61no—
1274C22×C4—61no—
1275C22×C4—61no—
1276C22×C4—61no—
1277C22×C4—61no—
1278C22×C4—61no—
1279C22×C4—61no—
1280C22×C4—61no—
1281C22×C4—61no—
1282C22×C4—61no—
1283C22×C4—61no—
1284C22×C4—61no—
1285C22×C4—61no—
1286C22×C4—61no—
1287Q16—22no—
1288Q16—22no—
1289Q16—22no—
1290Q16—62no—
1291Q16—62no—
1292SD16—62no—
1293SD16—62no—
1294SD16—62no—
1295SD16—62no—
1296SD16—62no—
1297SD16—62no—
1298D8—62no—
1299M16—62no—
1300M16—62no—
1301C2×C8—31no—
1302C2×C8—31no—
1303C2×C8—31no—
1304C2×C8—31no—
1305C2×C8—62no—
1306C2×C8—62no—
1307C2×C8C23×D311yescharacteristic
1308C2×C8C23×D311yescharacteristic
1309C2×C8C23×D311yescharacteristic
1310C2×C8C23×D311yescharacteristic
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—31no—
1329C4⋊C4—31no—
1330C4⋊C4—31no—
1331C4⋊C4—31no—
1332C4⋊C4—31no—
1333C4⋊C4—31no—
1334C4⋊C4—31no—
1335C4⋊C4—31no—
1336C4⋊C4—31no—
1337C4⋊C4—31no—
1338C4⋊C4—31no—
1339C4⋊C4—31no—
1340C4⋊C4—31no—
1341C4⋊C4—31no—
1342C4⋊C4—31no—
1343C4⋊C4—31no—
1344C4⋊C4—31no—
1345C4⋊C4—61no—
1346C4⋊C4—61no—
1347C4⋊C4—61no—
1348C4⋊C4—61no—
1349C4⋊C4—61no—
1350C4⋊C4—61no—
1351C4⋊C4—61no—
1352C4⋊C4—61no—
1353C4⋊C4—61no—
1354C4⋊C4—61no—
1355C4⋊C4—61no—
1356C4⋊C4—61no—
1357C4⋊C4—61no—
1358C4⋊C4—61no—
1359C4⋊C4—61no—
1360C4⋊C4—61no—
1361C4⋊C4—61no—
1362C4⋊C4—61no—
1363C4⋊C4—61no—
1364C4⋊C4—61no—
1365C4⋊C4—61no—
1366C4⋊C4—61no—
1367C4⋊C4—61no—
1368C4⋊C4—61no—
1369C4⋊C4—61no—
1370C4⋊C4—61no—
1371C4⋊C4—61no—
1372C4⋊C4—61no—
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⋊C4D3×D411yescharacteristic
1383C4⋊C4D3×D411yescharacteristic
1384C4⋊C4D3×D411yescharacteristic
1385C4⋊C4C23×D311yescharacteristic
1386C4⋊C4C23×D311yescharacteristic
1387C4⋊C4C23×D311yescharacteristic
1388C4⋊C4C23×D311yescharacteristic
1389C22⋊C4—31no—
1390C22⋊C4—31no—
1391C22⋊C4—31no—
1392C22⋊C4—31no—
1393C22⋊C4—61no—
1394C22⋊C4—61no—
1395C22⋊C4—61no—
1396C22⋊C4—61no—
1397C22⋊C4—61no—
1398C22⋊C4—61no—
1399C22⋊C4—61no—
1400C22⋊C4—61no—
1401C22⋊C4—61no—
1402C22⋊C4—61no—
1403C22⋊C4—61no—
1404C22⋊C4—61no—
1405C22⋊C4—61no—
1406C22⋊C4—61no—
1407C22⋊C4—61no—
1408C22⋊C4—61no—
1409C22⋊C4—61no—
1410C22⋊C4—61no—
1411C42—21no—
1412C42—21no—
1413C42—21no—
1414C42—21no—
1415C42—21no—
1416C42—21no—
1417C42—31no—
1418C42—31no—
1419C42—31no—
1420C42—31no—
1421C42—31no—
1422C42—61no—
1423C42—61no—
1424C42—61no—
1425C42—61no—
1426C42—61no—
1427C42—61no—
1428C42—61no—
1429C42—61no—
1430C42—61no—
1431C42—61no—
1432C42—61no—
1433C42—61no—
1434C42C23×D311yescharacteristic
1435C42C23×D311yescharacteristic
1436C42C23×D311yescharacteristic
1437C22×C3C23×D411yescharacteristic
1438C2×D3—21no—
1439C2×D3—21no—
1440C2×D3—22no—
1441C2×D3—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3#54812yes—
1447C3×C4—21no—
1448C3×C4—21no—
1449C3×C4—21no—
1450C3×C4—21no—
1451C3×C4—21no—
1452C3×C4—21no—
1453C3×C4—22no—
1454C3×C4—41no—
1455C3×C4—41no—
1456C3×C4—41no—
1457C3×C4—41no—
1458C3×C4—41no—
1459C3×C4—41no—
1460C3×C4—41no—
1461C3×C4C22×#4111yescharacteristic
1462C3×C4C2×2−1+411yescharacteristic
1463Dic3—21no—
1464Dic3—21no—
1465Dic3—21no—
1466Dic3—21no—
1467Dic3—21no—
1468Dic3—21no—
1469Dic3—41no—
1470Dic3—41no—
1471Dic3—41no—
1472Dic3—41no—
1473Dic3—41no—
1474Dic3—41no—
1475Dic3#54812yes—
1476C23—31no—
1477C23—61no—
1478C23—61no—
1479Q8—21no—
1480Q8—21no—
1481Q8—21no—
1482Q8—21no—
1483Q8—21no—
1484Q8—21no—
1485Q8—21no—
1486Q8—41no—
1487Q8—61no—
1488Q8—61no—
1489Q8—61no—
1490Q8—61no—
1491Q8—81no—
1492Q8—121no—
1493Q8—121no—
1494Q8—121no—
1495Q8—122no—
1496Q8—122no—
1497Q8—241no—
1498Q8—241no—
1499Q8—241no—
1500Q8D3×#4112yes—
1501D4—32no—
1502D4—64no—
1503D4—61no—
1504D4—61no—
1505D4—61no—
1506D4—122no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—31no—
1516C2×C4—32no—
1517C2×C4—32no—
1518C2×C4—31no—
1519C2×C4—31no—
1520C2×C4—31no—
1521C2×C4—31no—
1522C2×C4—31no—
1523C2×C4—31no—
1524C2×C4—64no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—121no—
1532C2×C4—121no—
1533C2×C4—122no—
1534C2×C4—122no—
1535C2×C4—122no—
1536C2×C4—122no—
1537C2×C4—122no—
1538C2×C4—241no—
1539C2×C4—241no—
1540C2×C4—241no—
1541C2×C4—241no—
1542C2×C4—241no—
1543C2×C4—241no—
1544C2×C4—241no—
1545C2×C4—241no—
1546C2×C4C2×D3×D411yescharacteristic
1547C2×C4C2×D3×D411yescharacteristic
1548C2×C4C2×D3×D411yescharacteristic
1549C2×C4C2×D3×D411yescharacteristic
1550C2×C4C2×D3×D411yescharacteristic
1551C2×C4C2×D3×D411yescharacteristic
1552C2×C4C24×D311yescharacteristic
1553C8—21no—
1554C8—21no—
1555C8—21no—
1556C8—21no—
1557C8—61no—
1558C8—61no—
1559C8—61no—
1560C8—61no—
1561C2×C3C2×#54811yescharacteristic
1562C2×C3#358611yescharacteristic
1563C2×C3#358611yescharacteristic
1564D3—22no—
1565D3—42no—
1566D3—81no—
1567C22—32no—
1568C22—61no—
1569C22—61no—
1570C22—62no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22—121no—
1576C22C22×D3×D411yescharacteristic
1577C4—21no—
1578C4—21no—
1579C4—21no—
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—22no—
1584C4—32no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—61no—
1593C4—61no—
1594C4—61no—
1595C4—61no—
1596C4—61no—
1597C4—61no—
1598C4—121no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C4C2×D3×#4111yescharacteristic
1605C4D3×2−1+411yescharacteristic
1606C3#6133811yescharacteristic, complemented, Sylow
1607C2—62no—
1608C2—122no—
1609C2—241no—
1610C2D3×#54811yescharacteristic
1611C2#8719711yescharacteristic
1612C2#8721111yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3374C2
socleC22×C3C23×D4
prime radicalC2×#919C22
hypercenter#3374D3
hypocenterC3#61338
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3374

Complements

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

NH ≅ G/Ntype
1. #87020C2semidirect
2. #87019C2semidirect
3. C3×#3374C2semidirect
4. #83700C2semidirect
5. #83692C2semidirect
6. #81738C2semidirect
7. D3×#491C2semidirect
8. #81734C2semidirect
9. #81732C2semidirect
10. #81623C2semidirect
11. #81599C2semidirect
12. #81265C2semidirect
13. #81233C2semidirect
14. #81231C2semidirect
15. #81219C2semidirect
16. #81013C2semidirect
17. #81005C2semidirect
20. #80477C2semidirect
21. #80467C2semidirect
22. #80466C2semidirect
23. #80465C2semidirect
24. #79974C2semidirect
25. #79959C2semidirect
26. #79830C2semidirect
28. #79818C2semidirect
29. #79817C2semidirect
30. #79719C2semidirect
31. #79704C2semidirect
217. #3374D3semidirect
1606. C3#61338semidirect

Maximal subgroups

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

subgroupindex
#870202
#870192
C3×#33742
#837002
#836922
#817382
D3×#4912
#817342
#817322
#816232
#815992
#812652
#812332
#812312
#812192
#810132
#810052
#804792
#804772
#804672
#804662
#804652
#799742
#799592
#798302
#798282
#798182
#798172
#797192
#797042
#613383