Finite Group Databasebeta

← #11692231

Subgroups — #11692231

Order 768.

1684 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86936C211yesmaximal, characteristic
2#86869C211yesmaximal, characteristic, complemented
3C3×#3344C211yesmaximal, characteristic, complemented
4#83624C211yesmaximal, characteristic, complemented
5#83604C211yesmaximal, characteristic, complemented
6#81978C211yesmaximal, characteristic, complemented
7#81967C211yesmaximal, characteristic, complemented
8#81524C211yesmaximal, characteristic, complemented
9#81507C211yesmaximal, characteristic, complemented
10#81477C211yesmaximal, characteristic, complemented
11#81456C211yesmaximal, characteristic, complemented
12#81435C211yesmaximal, characteristic, complemented
13#81433C211yesmaximal, characteristic, complemented
14#81423C211yesmaximal, characteristic, complemented
15#81416C211yesmaximal, characteristic, complemented
16D3×#479C211yesmaximal, characteristic, complemented
17#81218C211yesmaximal, characteristic, complemented
18#81007C211yesmaximal, characteristic, complemented
19#81002C211yesmaximal, characteristic, complemented
20#80917C211yesmaximal, characteristic, complemented
21#80897C211yesmaximal, characteristic, complemented
22#80769C211yesmaximal, characteristic, complemented
23#80749C211yesmaximal, characteristic, complemented
24#79833C211yesmaximal, characteristic, complemented
25#79816C211yesmaximal, characteristic, complemented
26#79514C211yesmaximal, characteristic, complemented
27#79464C211yesmaximal, characteristic, complemented
28#79244C211yesmaximal, characteristic, complemented
29#79223C211yesmaximal, characteristic, complemented
30#79130C211yesmaximal, characteristic, complemented
31#79124C211yesmaximal, characteristic, complemented
32#62169—31nomaximal, Sylow
33C3×#554C2211yescharacteristic
34C3×#552C2211yescharacteristic
35#5725C2211yescharacteristic
36#5722C2211yescharacteristic
37#5708—21no—
38#5701—21no—
39#5691—21no—
40#5690—21no—
41#5689—21no—
42D3×#125C2211yescharacteristic
43C3⋊#564—21no—
44#5685C2211yescharacteristic
45#5660—21no—
46#5651—21no—
47#5643C2211yescharacteristic
48#5643C2211yescharacteristic
49#5640—21no—
50#5640—21no—
51#5639C2211yescharacteristic
52#5635C2211yescharacteristic
53#5633C2211yescharacteristic
54#5633C2211yescharacteristic
55#5631—21no—
56#5631—21no—
57#5625C2211yescharacteristic
58#5625C2211yescharacteristic
59#5585C2211yescharacteristic
60#5578C2211yescharacteristic
61C4×D3×Q8C2211yescharacteristic
62#5569C2211yescharacteristic
63#5559—21no—
64#5557C2211yescharacteristic
65#5553C2211yescharacteristic
66#5548—21no—
67#5541C2211yescharacteristic
68#5529—21no—
69#5529C2211yescharacteristic
70#5519C2211yescharacteristic
71#5518—21no—
72#5511C2211yescharacteristic
73#5507C2211yescharacteristic
74#5507C2211yescharacteristic
75#5504C2211yescharacteristic
76#5504C2211yescharacteristic
77#5500C2211yescharacteristic
78C3×#501C2211yescharacteristic
79C3×#485C2211yescharacteristic
80C3×#484C2211yescharacteristic
81C3×#483C2211yescharacteristic
82C3×#483C2211yescharacteristic
83C3×#479C2211yescharacteristic
84C3×#475C2211yescharacteristic
85C3×#470C2211yescharacteristic
86C3×#467C2211yescharacteristic
87C3×#441C2211yescharacteristic
88C3×#435C2211yescharacteristic
89C3×#428C2211yescharacteristic
90C2×C3×#106C2211yescharacteristic
91#5186C2211yescharacteristic
92#5185C2211yescharacteristic
93#5185C2211yescharacteristic
94#5182C2211yescharacteristic
95#5134C2211yescharacteristic
96#5133C2211yescharacteristic
97#5127C2211yescharacteristic
98#5119C2211yescharacteristic
99#5114C2211yescharacteristic
100#5113C2211yescharacteristic
101C8×#67C2211yescharacteristic
102#5102C2211yescharacteristic
103#5094C2211yescharacteristic
104#5081C2211yescharacteristic
105#5067C2211yescharacteristic
106#5063C2211yescharacteristic
107#5052C2211yescharacteristic
108#5051C2211yescharacteristic
109#5049C2211yescharacteristic
110#5048C2211yescharacteristic
111#5047C2211yescharacteristic
112#5047C2211yescharacteristic
113#5045C2211yescharacteristic
114#5043C2211yescharacteristic
115#5030C2211yescharacteristic
116#5030C2211yescharacteristic
117#5027C2211yescharacteristic
118#5022C2211yescharacteristic
119#5011C2211yescharacteristic
120#5003C2211yescharacteristic
121#5002C2211yescharacteristic
122#4971C2211yescharacteristic
123#4970C2211yescharacteristic
124#4968C2211yescharacteristic
125#4966C2211yescharacteristic
126#4964C2211yescharacteristic
127C2×#808C2211yescharacteristic
128#4891C2211yescharacteristic
129#4891C2211yescharacteristic
130#4891C2211yescharacteristic
131#4889C2211yescharacteristic
132#4882C2211yescharacteristic
133#4882C2211yescharacteristic
134D3×#107C2211yescharacteristic
135#4877C2211yescharacteristic
136#4877C2211yescharacteristic
137#4876C2211yescharacteristic
138#4875C2211yescharacteristic
139#4873C2211yescharacteristic
140#4871C2211yescharacteristic
141#4871C2211yescharacteristic
142#4871C2211yescharacteristic
143#4870C2211yescharacteristic
144#4870C2211yescharacteristic
145#4870C2211yescharacteristic
146#4870C2211yescharacteristic
147#4864C2211yescharacteristic
148#4864C2211yescharacteristic
149#4863C2211yescharacteristic
150#4863C2211yescharacteristic
151#4862C2211yescharacteristic
152D3×#106C2211yescharacteristic
153#4857C2211yescharacteristic
154#4857C2211yescharacteristic
155#4856C2211yescharacteristic
156#4855C2211yescharacteristic
157#4855C2211yescharacteristic
158#4854C2211yescharacteristic
159#4854C2211yescharacteristic
160#4854C2211yescharacteristic
161#4854C2211yescharacteristic
162#4853C2211yescharacteristic
163#4852C2211yescharacteristic
164#4848C2211yescharacteristic
165D3×C4⋊C8C2211yescharacteristic
166#4829C2211yescharacteristic
167#4828C2211yescharacteristic
168#4818C2211yescharacteristic
169#4818C2211yescharacteristic
170#4817C2211yescharacteristic
171#4809C2211yescharacteristic
172#4807C2211yescharacteristic
173#4807C2211yescharacteristic
174#4805C2211yescharacteristic
175D3×#103C2211yescharacteristic
176D3×#103C2211yescharacteristic
177#4800C2211yescharacteristic
178#4800C2211yescharacteristic
179#4799C2211yescharacteristic
180#4798C2211yescharacteristic
181#4798C2211yescharacteristic
182#4796C2211yescharacteristic
183#4795C2211yescharacteristic
184#4794C2211yescharacteristic
185#4794C2211yescharacteristic
186#4793C2211yescharacteristic
187#4791C2211yescharacteristic
188#4791C2211yescharacteristic
189#4790C2211yescharacteristic
190#4789C2211yescharacteristic
191#4788C2211yescharacteristic
192#4737C2211yescharacteristic
193#4735C2211yescharacteristic
194#4733C2211yescharacteristic
195#4733C2211yescharacteristic
196#4728C2211yescharacteristic
197#67⋊C8C2211yescharacteristic
198#4720C2211yescharacteristic
199#4720C2211yescharacteristic
200#4716C2211yescharacteristic
201#4713C2211yescharacteristic
202#4705C2211yescharacteristic
203#4701C2211yescharacteristic
204#3563—31no—
205#3522—31no—
206#3387—31no—
207#3387—31no—
208#3371—31no—
209#3371—31no—
210#3344—31no—
211#3344D311yescharacteristic, complemented
212#3343—31no—
213#3343—31no—
214#3335—31no—
215#3335—31no—
216#3317—31no—
217#3317—31no—
218#3316—31no—
219#3316—31no—
220#3300—31no—
221#3300—31no—
222#3258—31no—
223#3258—31no—
224#3246—31no—
225#3244—31no—
226#3244—31no—
227#3234—31no—
228#3120—31no—
229#3120—31no—
230#3113—31no—
231#3084—31no—
232#3084—31no—
233C2×#479—31no—
234#2992—31no—
235C2×#239—21no—
236C2×D3×Q8C2311yescharacteristic
237C2×#235—21no—
238C2×#235—21no—
239C2×#235C2311yescharacteristic
240C2×#235C2311yescharacteristic
241C2×C3×Q16C2311yescharacteristic
242C2×C3×M16C2311yescharacteristic
243C22×C3×C8C2311yescharacteristic
244C3×C4⋊Q8C2311yescharacteristic
245C3×#126—21no—
246C3×#125—21no—
247C3×#125—21no—
248C3×#125C2311yescharacteristic
249C3×#123—21no—
250C3×C22⋊Q8—21no—
251C3×C22⋊Q8—21no—
252C3×C22⋊Q8C2311yescharacteristic
253C3×C22⋊Q8C2311yescharacteristic
254C3×C22⋊Q8C2311yescharacteristic
255C3×C22⋊Q8C2311yescharacteristic
256C3×C4×Q8C2311yescharacteristic
257C3×C4×Q8C2311yescharacteristic
258C3×C4×D4—21no—
259C3×C4×D4C2311yescharacteristic
260C3×#117—21no—
261C3×#117C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265#947—21no—
266#947C2311yescharacteristic
267#947C2311yescharacteristic
268#946C2311yescharacteristic
269Q8×Dic3C2311yescharacteristic
270Q8×Dic3C2311yescharacteristic
271Q8×Dic3C2311yescharacteristic
272#944—21no—
273#944—21no—
274#944C2311yescharacteristic
275C2×#216C2311yescharacteristic
276C2×#216C2311yescharacteristic
277C2×#215C2311yescharacteristic
278C2×#215C2311yescharacteristic
279#940—21no—
280#938D411yescharacteristic
281#936D411yescharacteristic
282#935—21no—
283#930C2311yescharacteristic
284#930C2311yescharacteristic
285#929—21no—
286#929—21no—
287C4×#67—21no—
288C4×#67—21no—
289C4×#67—21no—
290C4×#67—21no—
291C4×#67—21no—
292C4×#67C2311yescharacteristic
293C4×#67C2311yescharacteristic
294#926C2311yescharacteristic
295#926C2311yescharacteristic
296#926C2311yescharacteristic
297C2×C4⋊Dic3C2311yescharacteristic
298#924—21no—
299#924—21no—
300#924—21no—
301#924C2311yescharacteristic
302#924C2311yescharacteristic
303C2×#208C2311yescharacteristic
304C22×C3⋊C8C2311yescharacteristic
305C2×Dic12C2311yescharacteristic
306C2×#204C2311yescharacteristic
307C2×#204C2311yescharacteristic
308C2×D3×C8C2311yescharacteristic
309C2×D3×C8C2311yescharacteristic
310#898—21no—
311#898—21no—
312#897—21no—
313#897—21no—
314#897—21no—
315#897D411yescharacteristic
316#897C2311yescharacteristic
317#896—21no—
318#896—21no—
319#896—21no—
320#896—21no—
321#896—21no—
322#896—21no—
323#895—21no—
324#895C2311yescharacteristic
325#895C2311yescharacteristic
326#894—21no—
327#894—21no—
328#894—21no—
329#894—21no—
330#893—21no—
331#893—21no—
332#893—21no—
333#893—21no—
334#893C2311yescharacteristic
335#893C2311yescharacteristic
336#893C2311yescharacteristic
337#893C2311yescharacteristic
338#892—21no—
339#892—21no—
340#892—21no—
341D3×C4⋊C4—21no—
342D3×C4⋊C4—21no—
343D3×C4⋊C4—21no—
344D3×C4⋊C4—21no—
345D3×C4⋊C4—21no—
346D3×C4⋊C4C2311yescharacteristic
347D3×C4⋊C4C2311yescharacteristic
348D3×C4⋊C4C2311yescharacteristic
349#890—21no—
350#890—21no—
351#890—21no—
352#890—21no—
353#890D411yescharacteristic
354#890C2311yescharacteristic
355#890C2311yescharacteristic
356#890C2311yescharacteristic
357#890C2311yescharacteristic
358#889—21no—
359#889—21no—
360#889—21no—
361#889—21no—
362#889—21no—
363#889—21no—
364#889—21no—
365#889—21no—
366#889—21no—
367#889—21no—
368#889—21no—
369#888—21no—
370#888—21no—
371#888—21no—
372#888—21no—
373#888C2311yescharacteristic
374#888C2311yescharacteristic
375#888C2311yescharacteristic
376#888C2311yescharacteristic
377#888C2311yescharacteristic
378#887—21no—
379#887—21no—
380#887—21no—
381#887C2311yescharacteristic
382#887C2311yescharacteristic
383#887C2311yescharacteristic
384#887C2311yescharacteristic
385#887C2311yescharacteristic
386#885—21no—
387#885—21no—
388#885—21no—
389#885—21no—
390#884—21no—
391#884—21no—
392#884—21no—
393#884—21no—
394#883—21no—
395#883—21no—
396#883—21no—
397#883—21no—
398#883D411yescharacteristic
399#883D411yescharacteristic
400#67⋊C4—21no—
401#879—21no—
402#879—21no—
403#879—21no—
404#879—21no—
405#879—21no—
406#879—21no—
407#879—21no—
408#879D411yescharacteristic
409#879D411yescharacteristic
410#878—21no—
411#878—21no—
412#878—21no—
413#877—21no—
414#875—21no—
415#874C2311yescharacteristic
416C4×D12—21no—
417#872—21no—
418#872—21no—
419C42×D3—21no—
420C42×D3C2311yescharacteristic
421#870—21no—
422#870—21no—
423#870—21no—
424#870C2311yescharacteristic
425#869—21no—
426C4×Dic6—21no—
427C4×Dic6—21no—
428C4×Dic6—21no—
429C4×Dic6C2311yescharacteristic
430C4×Dic6C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C3×#107C2311yescharacteristic
433C3×#107C2311yescharacteristic
434C3×#107C2311yescharacteristic
435C3×#106C2311yescharacteristic
436C3×#106C2311yescharacteristic
437C3×#106C2311yescharacteristic
438C3×#106C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×#106C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#103C2311yescharacteristic
447C3×#103C2311yescharacteristic
448C3×C22⋊C8C2311yescharacteristic
449C3×C22⋊C8C2311yescharacteristic
450C3×#97C2311yescharacteristic
451#835C2311yescharacteristic
452#835C2311yescharacteristic
453#835C2311yescharacteristic
454#835C2311yescharacteristic
455#830C2311yescharacteristic
456#830C2311yescharacteristic
457#821C2311yescharacteristic
458#821C2311yescharacteristic
459#821C2311yescharacteristic
460#821C2311yescharacteristic
461#821C2311yescharacteristic
462#821C2311yescharacteristic
463(C2×D3)⋊C8C2311yescharacteristic
464(C2×D3)⋊C8C2311yescharacteristic
465#818C2311yescharacteristic
466#817C2311yescharacteristic
467#817C2311yescharacteristic
468#816C2311yescharacteristic
469#816C2311yescharacteristic
470#816C2311yescharacteristic
471#816C2311yescharacteristic
472#815C2311yescharacteristic
473#815C2311yescharacteristic
474Dic3⋊C8C2311yescharacteristic
475Dic3⋊C8C2311yescharacteristic
476Dic3⋊C8C2311yescharacteristic
477Dic3⋊C8C2311yescharacteristic
478Dic3⋊C8C2311yescharacteristic
479Dic3⋊C8C2311yescharacteristic
480Dic3⋊C8C2311yescharacteristic
481Dic3⋊C8C2311yescharacteristic
482C8×Dic3C2311yescharacteristic
483C8×Dic3C2311yescharacteristic
484#810C2311yescharacteristic
485#810C2311yescharacteristic
486#810C2311yescharacteristic
487#810C2311yescharacteristic
488#810C2311yescharacteristic
489#810C2311yescharacteristic
490#809C2311yescharacteristic
491#809C2311yescharacteristic
492#809C2311yescharacteristic
493#809C2311yescharacteristic
494#809C2311yescharacteristic
495#809C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#808C2311yescharacteristic
499#808C2311yescharacteristic
500#808C2311yescharacteristic
501#808C2311yescharacteristic
502#808C2311yescharacteristic
503#808C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506#807C2311yescharacteristic
507#807C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509#803C2311yescharacteristic
510#564—61no—
511#563—61no—
512#559—31no—
513#559—61no—
514Q82—31no—
515#557—31no—
516#557—31no—
517#554—31no—
518#554—31no—
519#554—61no—
520#554C2×D311yescharacteristic
521#552—31no—
522#552—31no—
523#552—31no—
524#552—61no—
525#552—61no—
526#552C2×D311yescharacteristic
527#550—31no—
528#548—31no—
529#548—31no—
530#547—31no—
531#547—31no—
532#547—61no—
533#547—61no—
534#544—31no—
535#544—31no—
536#544—61no—
537#542—31no—
538#542—31no—
539#542—61no—
540#542—61no—
541#541—31no—
542#541—31no—
543#541—61no—
544#541—61no—
545#539—61no—
546#533—31no—
547#532—31no—
548#532—61no—
549#529—31no—
550#529—61no—
551C2×#125—31no—
552#520—31no—
553#520—31no—
554C2×C4×Q8—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501C2×D311yescharacteristic
559#498—31no—
560#498—31no—
561#490—31no—
562#490—31no—
563#489—31no—
564#489—31no—
565#488—31no—
566#488—31no—
567#485—31no—
568#485C2×D311yescharacteristic
569#484—31no—
570#484C2×D311yescharacteristic
571#483—31no—
572#483—31no—
573#483—31no—
574#483—31no—
575#483C2×D311yescharacteristic
576#483C2×D311yescharacteristic
577#482—31no—
578#482—31no—
579#481—31no—
580#481—31no—
581#481—31no—
582#481—31no—
583#480—31no—
584#480—31no—
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#479C2×D311yescharacteristic
595#478—31no—
596#478—31no—
597#478—31no—
598#478—31no—
599#478—31no—
600#478—31no—
601#477—31no—
602#477—31no—
603#476—31no—
604#476—31no—
605#476—31no—
606#476—31no—
607#475—31no—
608#475—31no—
609#475—31no—
610#475—31no—
611#475—31no—
612#475—31no—
613#475—31no—
614#475C2×D311yescharacteristic
615#470—31no—
616#470C2×D311yescharacteristic
617#468—31no—
618#468—31no—
619#467—31no—
620#467C2×D311yescharacteristic
621#465—31no—
622#465—31no—
623#465—31no—
624#465—31no—
625#465—31no—
626#465—31no—
627#464—31no—
628#464—31no—
629#464—31no—
630#464—31no—
631#462—31no—
632#462—31no—
633#461—31no—
634#461—31no—
635#460—31no—
636#460—31no—
637#452—31no—
638#452—31no—
639#452—31no—
640#452—31no—
641#451—31no—
642#451—31no—
643#446—31no—
644#446—31no—
645#441—31no—
646#441—31no—
647#441—31no—
648#441—31no—
649#441—31no—
650#441C2×D311yescharacteristic
651#440—31no—
652#440—31no—
653C4×Q16—31no—
654C4×Q16—31no—
655C4×SD16—31no—
656C4×SD16—31no—
657#435—31no—
658#435—31no—
659#435—31no—
660#435C2×D311yescharacteristic
661C8×D4—31no—
662C8×D4—31no—
663#433—31no—
664#433—31no—
665#432—31no—
666#428—31no—
667#428C2×D311yescharacteristic
668C2×#107—31no—
669C2×#106—31no—
670C2×#106—31no—
671C2×#106C2×D311yescharacteristic
672#424—31no—
673#424—31no—
674C2×C4⋊C8—31no—
675#417—31no—
676#417—31no—
677#416—31no—
678#416—31no—
679C2×#103—31no—
680C2×#103—31no—
681C2×C3×Q8—21no—
682C2×C3×Q8C2411yescharacteristic
683C2×C3×Q8C2411yescharacteristic
684C2×C3×D4C2×D411yescharacteristic
685C22×C3×C4—21no—
686C22×C3×C4—21no—
687C22×C3×C4—21no—
688C22×C3×C4C2411yescharacteristic
689C22×C3×C4C2411yescharacteristic
690C2×#67—21no—
691C2×#67—21no—
692C2×#67—21no—
693C2×#67—21no—
694C2×#67C2×D411yescharacteristic
695C2×#67C2×D411yescharacteristic
696C22×Dic3—21no—
697#239—82no—
698D3×Q8—22no—
699D3×Q8—41no—
700#235—22no—
701#235—22no—
702#235—41no—
703#235—41no—
704#235—82no—
705#235—82no—
706C2×D12—21no—
707C2×D12—21no—
708C2×D12—21no—
709C2×D12—21no—
710C2×D12C2411yescharacteristic
711C2×D12C2411yescharacteristic
712C2×C4×D3—21no—
713C2×C4×D3—21no—
714C2×C4×D3—21no—
715C2×C4×D3—21no—
716C2×C4×D3—21no—
717C2×C4×D3—21no—
718C2×C4×D3—21no—
719C2×C4×D3—21no—
720C2×C4×D3—21no—
721C2×C4×D3—21no—
722C2×C4×D3C2×D411yescharacteristic
723C2×C4×D3C2×D411yescharacteristic
724C2×C4×D3C2411yescharacteristic
725C2×Dic6—21no—
726C2×Dic6—21no—
727C2×Dic6—21no—
728C2×Dic6—21no—
729C2×Dic6—21no—
730C2×Dic6—21no—
731C2×Dic6C2×D411yescharacteristic
732C2×Dic6C2411yescharacteristic
733C2×Dic6C2411yescharacteristic
734C3×Q16—41no—
735C3×M16—41no—
736C2×C3×C8—41no—
737C2×C3×C8C2411yescharacteristic
738C2×C3×C8C2411yescharacteristic
739C2×C3×C8C2411yescharacteristic
740C2×C3×C8C2411yescharacteristic
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⋊C4C2411yescharacteristic
755C3×C4⋊C4C2411yescharacteristic
756C3×C4⋊C4C2411yescharacteristic
757C3×C4⋊C4C2411yescharacteristic
758C3×C4⋊C4C2411yescharacteristic
759C3×C4⋊C4C2411yescharacteristic
760C3×C22⋊C4—21no—
761C3×C22⋊C4—21no—
762C3×C22⋊C4—21no—
763C3×C22⋊C4—21no—
764C3×C22⋊C4—21no—
765C3×C22⋊C4C2×D411yescharacteristic
766C3×C22⋊C4C2×D411yescharacteristic
767C3×C42—21no—
768C3×C42—21no—
769C3×C42—21no—
770C3×C42C2411yescharacteristic
771#217—21no—
772#217—21no—
773#217—21no—
774#217C2×D411yescharacteristic
775#217C2×D411yescharacteristic
776#217C2×D411yescharacteristic
777#217C2×D411yescharacteristic
778#217C2×D411yescharacteristic
779#217C2×D411yescharacteristic
780#216—22no—
781#216—41no—
782#215—41no—
783#215—41no—
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)⋊C4—21no—
794(C2×D3)⋊C4—21no—
795(C2×D3)⋊C4—21no—
796(C2×D3)⋊C4—21no—
797(C2×D3)⋊C4—21no—
798(C2×D3)⋊C4C2×D411yescharacteristic
799(C2×D3)⋊C4C2×D411yescharacteristic
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⋊Dic3C2×D411yescharacteristic
810C4⋊Dic3C2×D411yescharacteristic
811C4⋊Dic3C2×D411yescharacteristic
812C4⋊Dic3C2×D411yescharacteristic
813C4⋊Dic3C2×D411yescharacteristic
814C4⋊Dic3C2411yescharacteristic
815C4⋊Dic3C2411yescharacteristic
816C4⋊Dic3C2411yescharacteristic
817C4⋊Dic3C2411yescharacteristic
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⋊C4—21no—
842Dic3⋊C4—21no—
843Dic3⋊C4—21no—
844Dic3⋊C4C2×D411yescharacteristic
845Dic3⋊C4C2×D411yescharacteristic
846Dic3⋊C4C2×D411yescharacteristic
847Dic3⋊C4C2×D411yescharacteristic
848C4×Dic3—21no—
849C4×Dic3—21no—
850C4×Dic3—21no—
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×Dic3C2×D411yescharacteristic
860C4×Dic3C2×D411yescharacteristic
861C4×Dic3C2411yescharacteristic
862C4×Dic3C2411yescharacteristic
863C4×Dic3C2411yescharacteristic
864#208—41no—
865C2×C3⋊C8—41no—
866C2×C3⋊C8C2411yescharacteristic
867C2×C3⋊C8C2411yescharacteristic
868C2×C3⋊C8C2411yescharacteristic
869C2×C3⋊C8C2411yescharacteristic
870Dic12—22no—
871#204—41no—
872#204—41no—
873D3×C8—41no—
874D3×C8—41no—
875C2×#41—31no—
876C2×#41—31no—
877C2×#41—61no—
878C2×#41—61no—
879C2×#41—61no—
880C22×Q8—31no—
881C2×Q16—31no—
882C2×Q16—31no—
883C2×Q16—31no—
884C2×Q16C22×D311yescharacteristic
885C2×SD16—31no—
886C2×SD16—31no—
887C2×SD16—31no—
888C2×SD16—31no—
889C2×M16—31no—
890C2×M16C22×D311yescharacteristic
891C22×C8—31no—
892C22×C8—31no—
893C22×C8—31no—
894C22×C8C22×D311yescharacteristic
895C4⋊Q8—31no—
896C4⋊Q8—31no—
897C4⋊Q8—31no—
898C4⋊Q8—31no—
899C4⋊Q8—31no—
900C4⋊Q8—31no—
901C4⋊Q8—61no—
902C4⋊Q8—61no—
903C4⋊Q8—61no—
904C4⋊Q8—61no—
905C4⋊Q8—61no—
906C4⋊Q8—61no—
907C4⋊Q8—61no—
908C4⋊Q8C22×D311yescharacteristic
909#127—31no—
910#127—61no—
911#126—21no—
912#126—31no—
913#126—31no—
914#126—61no—
915#126—61no—
916#126—61no—
917#126—61no—
918#126—61no—
919#126—61no—
920#126—61no—
921#126—61no—
922#126—61no—
923#125—21no—
924#125—21no—
925#125—31no—
926#125—31no—
927#125—31no—
928#125—31no—
929#125—31no—
930#125—31no—
931#125—61no—
932#125—61no—
933#125—61no—
934#125—61no—
935#125—61no—
936#125—61no—
937#125—61no—
938#125—61no—
939#125—61no—
940#125—61no—
941#125—61no—
942#125—61no—
943#125—61no—
944#125—61no—
945#125—61no—
946#125—61no—
947#125—61no—
948#125—61no—
949#125C22×D311yescharacteristic
950#124—31no—
951#124—31no—
952#124—31no—
953#124—61no—
954#124—61no—
955#124—61no—
956#124—61no—
957#124—61no—
958#124—61no—
959#123—21no—
960#123—31no—
961#123—31no—
962#123—61no—
963#123—61no—
964#123—61no—
965#123—61no—
966#123—61no—
967#123—61no—
968#123—61no—
969#123—61no—
970#123—61no—
971#123—61no—
972#123—61no—
973C22⋊Q8—21no—
974C22⋊Q8—21no—
975C22⋊Q8—31no—
976C22⋊Q8—31no—
977C22⋊Q8—31no—
978C22⋊Q8—31no—
979C22⋊Q8—31no—
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⋊Q8C22×D311yescharacteristic
996C22⋊Q8C22×D311yescharacteristic
997C22⋊Q8C22×D311yescharacteristic
998C22⋊Q8C22×D311yescharacteristic
999#121—31no—
1000#121—31no—
1001#121—31no—
1002#121—31no—
1003#121—31no—
1004#121—61no—
1005#121—61no—
1006#121—61no—
1007#121—61no—
1008#121—61no—
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—31no—
1018C4×Q8—31no—
1019C4×Q8—31no—
1020C4×Q8—61no—
1021C4×Q8—61no—
1022C4×Q8—61no—
1023C4×Q8—61no—
1024C4×Q8—61no—
1025C4×Q8—61no—
1026C4×Q8C22×D311yescharacteristic
1027C4×Q8C22×D311yescharacteristic
1028C4×D4—21no—
1029C4×D4—31no—
1030C4×D4—31no—
1031C4×D4—31no—
1032C4×D4—31no—
1033C4×D4—31no—
1034C4×D4—31no—
1035C4×D4—61no—
1036C4×D4—61no—
1037C4×D4—61no—
1038C4×D4—61no—
1039C4×D4—61no—
1040C4×D4—61no—
1041C4×D4—61no—
1042C4×D4—61no—
1043C4×D4—61no—
1044C4×D4—61no—
1045C4×D4—61no—
1046C4×D4C22×D311yescharacteristic
1047#117—21no—
1048#117—31no—
1049#117—31no—
1050#117—31no—
1051#117—61no—
1052#117—61no—
1053#117—61no—
1054#117—61no—
1055#117—61no—
1056#117—61no—
1057#117C22×D311yescharacteristic
1058C2×C4⋊C4—31no—
1059C2×C4⋊C4—31no—
1060C2×C4⋊C4—31no—
1061C2×C4⋊C4—31no—
1062C2×C4⋊C4—61no—
1063C2×C4⋊C4—61no—
1064C2×C4⋊C4—61no—
1065C2×C4⋊C4—61no—
1066C2×C4⋊C4—61no—
1067C2×C4⋊C4C22×D311yescharacteristic
1068C2×C4⋊C4C22×D311yescharacteristic
1069C2×C4⋊C4C22×D311yescharacteristic
1070C2×C42—31no—
1071C2×C42—61no—
1072#107—31no—
1073#107—31no—
1074#107—31no—
1075#107—31no—
1076#107—31no—
1077#107C22×D311yescharacteristic
1078#107C22×D311yescharacteristic
1079#107C22×D311yescharacteristic
1080#106—31no—
1081#106—31no—
1082#106—31no—
1083#106—31no—
1084#106—31no—
1085#106—31no—
1086#106—31no—
1087#106—31no—
1088#106—31no—
1089#106—31no—
1090#106C22×D311yescharacteristic
1091#106C22×D311yescharacteristic
1092#106C22×D311yescharacteristic
1093#106C22×D311yescharacteristic
1094#106C22×D311yescharacteristic
1095#106C22×D311yescharacteristic
1096C4⋊C8—31no—
1097C4⋊C8—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8—31no—
1103C4⋊C8—31no—
1104C4⋊C8—31no—
1105C4⋊C8C22×D311yescharacteristic
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#103C22×D311yescharacteristic
1121#103C22×D311yescharacteristic
1122#103C22×D311yescharacteristic
1123#103C22×D311yescharacteristic
1124#103C22×D311yescharacteristic
1125#103C22×D311yescharacteristic
1126#102—31no—
1127#102—31no—
1128#102—31no—
1129#102—31no—
1130#102—31no—
1131#102—31no—
1132#102—31no—
1133#102—31no—
1134#102—31no—
1135#102—31no—
1136#102—31no—
1137#102—31no—
1138C22⋊C8—31no—
1139C22⋊C8—31no—
1140C22⋊C8—31no—
1141C22⋊C8—31no—
1142C22⋊C8C22×D311yescharacteristic
1143C22⋊C8C22×D311yescharacteristic
1144#97—31no—
1145#97—31no—
1146#97—31no—
1147#97C22×D311yescharacteristic
1148C4×C8—31no—
1149C4×C8—31no—
1150C23×C3C22×D411yescharacteristic
1151C23×C3C22×D411yescharacteristic
1152C22×D3—21no—
1153C22×D3—21no—
1154C22×D3C22×D411yescharacteristic
1155C3×Q8—21no—
1156C3×Q8—21no—
1157C3×Q8—21no—
1158C3×Q8—21no—
1159C3×Q8—81no—
1160C3×D4—41no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—81no—
1174C2×C3×C4—81no—
1175C2×C3×C4—81no—
1176C2×C3×C4C22×D411yescharacteristic
1177C2×C3×C4C22×D411yescharacteristic
1178C2×C3×C4C22×D411yescharacteristic
1179C2×C3×C4C22×D411yescharacteristic
1180C2×C3×C4C2511yescharacteristic
1181#67—22no—
1182#67—22no—
1183#67—42no—
1184#67—42no—
1185#67—81no—
1186#67—81no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—81no—
1194C2×Dic3C22×D411yescharacteristic
1195C2×Dic3C22×D411yescharacteristic
1196C2×Dic3C22×D411yescharacteristic
1197C2×Dic3C22×D411yescharacteristic
1198C2×Dic3C22×D411yescharacteristic
1199C2×Dic3C22×D411yescharacteristic
1200C2×Dic3C22×D411yescharacteristic
1201D12—21no—
1202D12—21no—
1203D12—21no—
1204D12—21no—
1205D12—42no—
1206D12—42no—
1207D12—42no—
1208D12—81no—
1209C4×D3—22no—
1210C4×D3—21no—
1211C4×D3—21no—
1212C4×D3—41no—
1213C4×D3—42no—
1214C4×D3—42no—
1215C4×D3—42no—
1216C4×D3—42no—
1217C4×D3—42no—
1218C4×D3—81no—
1219C4×D3—81no—
1220C4×D3—81no—
1221C4×D3—81no—
1222C4×D3—81no—
1223Dic6—21no—
1224Dic6—21no—
1225Dic6—21no—
1226Dic6—41no—
1227Dic6—42no—
1228Dic6—81no—
1229Dic6—81no—
1230Dic6—81no—
1231Dic6—81no—
1232Dic6—81no—
1233Dic62−1+412yes—
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—62no—
1243#41—62no—
1244#41—121no—
1245#41—121no—
1246#41—242no—
1247#41—242no—
1248#41—242no—
1249C2×Q8—21no—
1250C2×Q8—31no—
1251C2×Q8—31no—
1252C2×Q8—31no—
1253C2×Q8—61no—
1254C2×Q8—61no—
1255C2×Q8—61no—
1256C2×Q8—61no—
1257C2×Q8—61no—
1258C2×Q8—61no—
1259C2×Q8—62no—
1260C2×Q8—121no—
1261C2×Q8C23×D311yescharacteristic
1262C2×Q8C23×D311yescharacteristic
1263C2×D4—31no—
1264C2×D4—31no—
1265C2×D4—31no—
1266C2×D4—31no—
1267C2×D4—61no—
1268C2×D4—61no—
1269C2×D4—61no—
1270C2×D4—61no—
1271C2×D4—61no—
1272C2×D4—61no—
1273C2×D4—61no—
1274C2×D4—61no—
1275C2×D4D3×D411yescharacteristic
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—31no—
1282C22×C4—61no—
1283C22×C4—61no—
1284C22×C4—61no—
1285C22×C4—61no—
1286C22×C4—61no—
1287C22×C4—61no—
1288C22×C4—61no—
1289C22×C4—61no—
1290C22×C4—61no—
1291C22×C4—61no—
1292C22×C4—61no—
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295Q16—41no—
1296Q16—62no—
1297Q16—62no—
1298Q16—121no—
1299SD16—121no—
1300SD16—121no—
1301SD16—121no—
1302SD16—121no—
1303M16—41no—
1304M16—121no—
1305C2×C8—31no—
1306C2×C8—31no—
1307C2×C8—31no—
1308C2×C8—31no—
1309C2×C8—41no—
1310C2×C8—121no—
1311C2×C8—121no—
1312C2×C8—121no—
1313C2×C8C23×D311yescharacteristic
1314C2×C8C23×D311yescharacteristic
1315C2×C8C23×D311yescharacteristic
1316C2×C8C23×D311yescharacteristic
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—21no—
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—61no—
1343C4⋊C4—61no—
1344C4⋊C4—61no—
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⋊C4D3×D411yescharacteristic
1378C4⋊C4C23×D311yescharacteristic
1379C4⋊C4C23×D311yescharacteristic
1380C4⋊C4C23×D311yescharacteristic
1381C4⋊C4C23×D311yescharacteristic
1382C4⋊C4C23×D311yescharacteristic
1383C4⋊C4C23×D311yescharacteristic
1384C22⋊C4—21no—
1385C22⋊C4—21no—
1386C22⋊C4—21no—
1387C22⋊C4—21no—
1388C22⋊C4—21no—
1389C22⋊C4—31no—
1390C22⋊C4—31no—
1391C22⋊C4—31no—
1392C22⋊C4—31no—
1393C22⋊C4—31no—
1394C22⋊C4—31no—
1395C22⋊C4—31no—
1396C22⋊C4—31no—
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—
1411C22⋊C4—61no—
1412C22⋊C4—61no—
1413C22⋊C4—61no—
1414C22⋊C4D3×D411yescharacteristic
1415C22⋊C4D3×D411yescharacteristic
1416C42—21no—
1417C42—21no—
1418C42—21no—
1419C42—31no—
1420C42—31no—
1421C42—31no—
1422C42—31no—
1423C42—31no—
1424C42—61no—
1425C42—61no—
1426C42—61no—
1427C42—61no—
1428C42—61no—
1429C42—61no—
1430C42—61no—
1431C42—61no—
1432C42—61no—
1433C42—61no—
1434C42—61no—
1435C42C23×D311yescharacteristic
1436C22×C3—21no—
1437C22×C3—21no—
1438C22×C3—21no—
1439C22×C3—21no—
1440C22×C3—21no—
1441C22×C3—21no—
1442C22×C3C23×D411yescharacteristic
1443C2×D3—21no—
1444C2×D3—21no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3#57712yes—
1452C3×C4—21no—
1453C3×C4—21no—
1454C3×C4—21no—
1455C3×C4—21no—
1456C3×C4—41no—
1457C3×C4—41no—
1458C3×C4—41no—
1459C3×C4—41no—
1460C3×C4—41no—
1461C3×C4—41no—
1462C3×C4—41no—
1463C3×C4—41no—
1464C3×C4C2×2−1+411yescharacteristic
1465C3×C4#58511yescharacteristic
1466Dic3—21no—
1467Dic3—21no—
1468Dic3—21no—
1469Dic3—22no—
1470Dic3—21no—
1471Dic3—21no—
1472Dic3—21no—
1473Dic3—21no—
1474Dic3—41no—
1475Dic3—41no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479C23—31no—
1480C23—61no—
1481C23—61no—
1482C23C2×D3×D411yescharacteristic
1483C23C2×D3×D411yescharacteristic
1484Q8—21no—
1485Q8—21no—
1486Q8—21no—
1487Q8—21no—
1488Q8—32no—
1489Q8—61no—
1490Q8—61no—
1491Q8—61no—
1492Q8—81no—
1493Q8—121no—
1494Q8—122no—
1495Q8—241no—
1496Q8—241no—
1497Q8—241no—
1498Q8—241no—
1499Q8—241no—
1500D4—41no—
1501D4—62no—
1502D4—62no—
1503D4—61no—
1504D4—61no—
1505D4—61no—
1506D4—61no—
1507D4—122no—
1508D4—122no—
1509D4—122no—
1510D4—122no—
1511D4—122no—
1512D4—241no—
1513D4—241no—
1514D4—241no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—31no—
1528C2×C4—31no—
1529C2×C4—31no—
1530C2×C4—31no—
1531C2×C4—31no—
1532C2×C4—31no—
1533C2×C4—31no—
1534C2×C4—62no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—81no—
1544C2×C4—81no—
1545C2×C4—81no—
1546C2×C4—121no—
1547C2×C4—122no—
1548C2×C4—122no—
1549C2×C4—122no—
1550C2×C4—122no—
1551C2×C4—122no—
1552C2×C4—241no—
1553C2×C4—241no—
1554C2×C4—241no—
1555C2×C4—241no—
1556C2×C4—241no—
1557C2×C4—241no—
1558C2×C4C2×D3×D411yescharacteristic
1559C2×C4C2×D3×D411yescharacteristic
1560C2×C4C2×D3×D411yescharacteristic
1561C2×C4C2×D3×D411yescharacteristic
1562C2×C4C24×D311yescharacteristic
1563C8—21no—
1564C8—21no—
1565C8—21no—
1566C8—21no—
1567C8—61no—
1568C8—61no—
1569C8—61no—
1570C8—61no—
1571C2×C3—41no—
1572C2×C3—41no—
1573C2×C3#348911yescharacteristic
1574C2×C3C2×#57711yescharacteristic
1575C2×C3#358611yescharacteristic
1576D3—22no—
1577D3—81no—
1578D3—81no—
1579C22—21no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—21no—
1585C22—32no—
1586C22—61no—
1587C22—61no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22C22×D3×D411yescharacteristic
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—61no—
1608C4—62no—
1609C4—61no—
1610C4—61no—
1611C4—61no—
1612C4—61no—
1613C4—61no—
1614C4—61no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C4—121no—
1620C4#596411yescharacteristic
1621C4D3×2−1+411yescharacteristic
1622C3#6216911yescharacteristic, complemented, Sylow
1623C2—41no—
1624C2—41no—
1625C2—62no—
1626C2—241no—
1627C2—241no—
1628C2#8667711yescharacteristic
1629C2#8719711yescharacteristic
1630C2D3×#57711yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3344C2
socleC22×C3C23×D4
prime radical#86936C2
hypercenter#3344D3
hypocenterC3#62169
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3344

Complements

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

NH ≅ G/Ntype
2. #86869C2semidirect
3. C3×#3344C2semidirect
4. #83624C2semidirect
5. #83604C2semidirect
6. #81978C2semidirect
7. #81967C2semidirect
8. #81524C2semidirect
9. #81507C2semidirect
10. #81477C2semidirect
11. #81456C2semidirect
12. #81435C2semidirect
13. #81433C2semidirect
14. #81423C2semidirect
15. #81416C2semidirect
16. D3×#479C2semidirect
17. #81218C2semidirect
18. #81007C2semidirect
19. #81002C2semidirect
20. #80917C2semidirect
21. #80897C2semidirect
22. #80769C2semidirect
23. #80749C2semidirect
24. #79833C2semidirect
25. #79816C2semidirect
26. #79514C2semidirect
27. #79464C2semidirect
28. #79244C2semidirect
29. #79223C2semidirect
30. #79130C2semidirect
31. #79124C2semidirect
211. #3344D3semidirect
1622. C3#62169semidirect

Maximal subgroups

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

subgroupindex
#869362
#868692
C3×#33442
#836242
#836042
#819782
#819672
#815242
#815072
#814772
#814562
#814352
#814332
#814232
#814162
D3×#4792
#812182
#810072
#810022
#809172
#808972
#807692
#807492
#798332
#798162
#795142
#794642
#792442
#792232
#791302
#791242
#621693