Finite Group Databasebeta

← #8097125

Subgroups — #8097125

Order 512.

3789 conjugacy classes of subgroups.

The subgroup lattice has 1142 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53157C213yesmaximal
2#53156C213yesmaximal
3#53131C213yesmaximal
4#53131C213yesmaximal
5#52996C213yesmaximal
6#52996C213yesmaximal
7#52305C213yesmaximal
8#46191C213yesmaximal
9#46191C213yesmaximal
10#46191C213yesmaximal
11#46191C213yesmaximal
12#46181C213yesmaximal
13#46181C213yesmaximal
14#46175C213yesmaximal
15#46175C213yesmaximal
16#46157C213yesmaximal
17#36584C211yesmaximal, characteristic
18#36584C211yesmaximal, characteristic
19#36475C211yesmaximal, characteristic
20#36475C211yesmaximal, characteristic
21#36475C211yesmaximal, characteristic
22#36475C211yesmaximal, characteristic
23#36475C211yesmaximal, characteristic
24#36475C211yesmaximal, characteristic
25#36447C211yesmaximal, characteristic
26#35971C211yesmaximal, characteristic
27#35971C211yesmaximal, characteristic
28#35971C211yesmaximal, characteristic
29#35971C211yesmaximal, characteristic
30#35868C211yesmaximal, characteristic
31#35868C211yesmaximal, characteristic
32#2864C2213yes—
33#2864C2213yes—
34#2864C2213yes—
35#2864C2213yes—
36#2864C2213yes—
37#2864C2213yes—
38#2859C2213yes—
39#2859C2213yes—
40#2859C2213yes—
41#2839C2216yes—
42#2839C2216yes—
43#2839C2216yes—
44#2839C2216yes—
45#2839C2216yes—
46#2839C2216yes—
47#2839C2216yes—
48#2839C2216yes—
49#2839C2216yes—
50#2839C2216yes—
51#2822C2216yes—
52#2810C2216yes—
53#2810C2216yes—
54#2810C2213yes—
55#2767C2216yes—
56#2767C2216yes—
57#2767C2211yescharacteristic
58#2767C2213yes—
59#2767C2213yes—
60#2767C2213yes—
61#2767C2213yes—
62#2767C2213yes—
63#2767C2216yes—
64#2767C2216yes—
65#2767C2216yes—
66#2767C2216yes—
67#2767C2216yes—
68#2767C2216yes—
69#2767C2216yes—
70#2767C2216yes—
71#2767C2216yes—
72#2726C2213yes—
73#2726C2216yes—
74#2726C2213yes—
75#2726C2213yes—
76#2726C2216yes—
77#2719C2213yes—
78#2719C2216yes—
79#2719C2216yes—
80#2719C2216yes—
81#2719C2213yes—
82#2719C2216yes—
83#2719C2213yes—
84#2719C2213yes—
85#2719C2213yes—
86#2719C2213yes—
87#2719C2216yes—
88#2719C2216yes—
89#2647C2213yes—
90#2647C2213yes—
91#2647C2213yes—
92#2647C2213yes—
93#2647C2213yes—
94#2647C2213yes—
95#2571C2213yes—
96#2571C2213yes—
97#2571C2213yes—
98#2571C2213yes—
99#2571C2213yes—
100#2571C2213yes—
101#2571C2213yes—
102#2571C2213yes—
103#2571C2213yes—
104#2570C2213yes—
105#2570C2213yes—
106#2570C2213yes—
107#2570C2213yes—
108#2570C2213yes—
109#2570C2213yes—
110#2570C2213yes—
111#2570C2213yes—
112#2570C2213yes—
113#2570C2213yes—
114#2570C2213yes—
115#2570C2213yes—
116#2570C2213yes—
117#2570C2213yes—
118#2570C2213yes—
119#2570C2213yes—
120#2570C2213yes—
121#2570C2213yes—
122#2552C2213yes—
123#2552C2213yes—
124#2552C2213yes—
125#2509C2213yes—
126#2509C2213yes—
127#2509C2213yes—
128#2509C2213yes—
129#2509C2213yes—
130#2509C2213yes—
131#2509C2213yes—
132#2509C2213yes—
133#2509C2213yes—
134#2509C2213yes—
135#2509C2213yes—
136#2509C2213yes—
137#2509C2213yes—
138#2509C2213yes—
139#2509C2213yes—
140#2509C2213yes—
141#2509C2213yes—
142#2509C2213yes—
143#2509C2213yes—
144#2509C2213yes—
145#2508C2213yes—
146#2508C2213yes—
147#2508C2213yes—
148#2508C2213yes—
149#2508C2213yes—
150#2508C2213yes—
151#2508C2213yes—
152#2508C2213yes—
153#2508C2213yes—
154#2508C2213yes—
155#2508C2213yes—
156#2508C2213yes—
157#2508C2213yes—
158#2508C2213yes—
159#2508C2213yes—
160#2508C2213yes—
161#2507C2213yes—
162#2507C2213yes—
163#2507C2213yes—
164#2507C2213yes—
165#2507C2213yes—
166#2507C2213yes—
167#2507C2213yes—
168#2507C2213yes—
169#2507C2213yes—
170#2507C2213yes—
171#2507C2213yes—
172#2507C2213yes—
173#2506C2213yes—
174#2506C2213yes—
175#2506C2213yes—
176#2506C2213yes—
177#2506C2213yes—
178#2506C2213yes—
179#2506C2213yes—
180#2506C2213yes—
181#2506C2213yes—
182#2506C2213yes—
183#2506C2213yes—
184#2506C2213yes—
185#2402C2213yes—
186#2402C2213yes—
187#2402C2213yes—
188#2402C2213yes—
189#2402C2213yes—
190#2402C2213yes—
191#2382C2216yes—
192#2382C2216yes—
193#2382C2216yes—
194#2351C2211yescharacteristic
195#2351C2211yescharacteristic
196#2351C2211yescharacteristic
197#2351C2211yescharacteristic
198#2351C2211yescharacteristic
199#2351C2211yescharacteristic
200#2351C2211yescharacteristic
201#2351C2211yescharacteristic
202#2351C2211yescharacteristic
203#2351C2211yescharacteristic
204#2351C2211yescharacteristic
205#2351C2211yescharacteristic
206#2351C2211yescharacteristic
207#2351C2211yescharacteristic
208#2351C2211yescharacteristic
209#2351C2211yescharacteristic
210#2351C2211yescharacteristic
211#2351C2211yescharacteristic
212Q8×C4⋊C4C2211yescharacteristic
213Q8×C4⋊C4C2211yescharacteristic
214Q8×C4⋊C4C2211yescharacteristic
215Q8×C4⋊C4C2211yescharacteristic
216Q8×C4⋊C4C2211yescharacteristic
217Q8×C4⋊C4C2211yescharacteristic
218Q8×C4⋊C4C2211yescharacteristic
219Q8×C4⋊C4C2211yescharacteristic
220Q8×C4⋊C4C2211yescharacteristic
221Q8×C4⋊C4C2211yescharacteristic
222Q8×C4⋊C4C2211yescharacteristic
223Q8×C4⋊C4C2211yescharacteristic
224C4×#125C2213yes—
225C4×#125C2213yes—
226C4×#125C2213yes—
227C4×#125C2213yes—
228C4×#125C2213yes—
229C4×#125C2213yes—
230C4×#125C2213yes—
231C4×#125C2213yes—
232C4×#125C2213yes—
233#2276C2211yescharacteristic
234#2276C2211yescharacteristic
235C42×Q8C2211yescharacteristic
236C42×Q8C2211yescharacteristic
237C42×Q8C2211yescharacteristic
238C2×#125C2313yes—
239C2×#125C2313yes—
240C2×#125C2313yes—
241C2×#125C2313yes—
242C2×#125C2313yes—
243C2×#125C2313yes—
244C2×#125C2313yes—
245C2×#125C2313yes—
246C2×#125C2313yes—
247C2×#125C2316yes—
248C2×#125C2316yes—
249C2×#125C2316yes—
250C2×C4×Q8C2311yescharacteristic
251C2×C4×Q8C2311yescharacteristic
252C2×C4×Q8C2311yescharacteristic
253C2×C4×Q8C2311yescharacteristic
254C2×C4×Q8C2311yescharacteristic
255C2×C4×Q8C2311yescharacteristic
256C2×C4×Q8C2311yescharacteristic
257C2×C4×Q8C2311yescharacteristic
258C2×C4×Q8C2311yescharacteristic
259C2×C4×Q8C2311yescharacteristic
260C2×C4×Q8C2311yescharacteristic
261C2×C4×Q8C2311yescharacteristic
262C2×C4×Q8C2311yescharacteristic
263C2×C4×Q8C2311yescharacteristic
264C2×C4×Q8C2311yescharacteristic
265#400C2316yes—
266#400C2316yes—
267#400C2316yes—
268#400C2316yes—
269#400C2313yes—
270#400C2313yes—
271#400C2316yes—
272#400C2316yes—
273#400C2316yes—
274#400C2316yes—
275#400C2316yes—
276#400C2316yes—
277#400C2316yes—
278#400C2316yes—
279#400C2316yes—
280#400C2316yes—
281#400C2316yes—
282#400C2316yes—
283#400C2316yes—
284#400C2316yes—
285#400C2313yes—
286#400C2313yes—
287#400C2313yes—
288#400C2313yes—
289#400C2316yes—
290#400C2316yes—
291#400C2316yes—
292#400C2316yes—
293#400C2316yes—
294#400C2316yes—
295#400C2316yes—
296#400C2316yes—
297#400C2316yes—
298#400C2313yes—
299#400C2313yes—
300#400C2316yes—
301#400C2316yes—
302#400C2316yes—
303#400C2316yes—
304#400C2316yes—
305#400C2313yes—
306#400C2313yes—
307#400C2313yes—
308#400C2313yes—
309#400C2311yescharacteristic
310#400C2311yescharacteristic
311#400C2311yescharacteristic
312#400C2311yescharacteristic
313#400C2313yes—
314#400C2313yes—
315#400C2313yes—
316#400C2313yes—
317#400C2313yes—
318#400C2313yes—
319#400C2313yes—
320#400C2313yes—
321#398C2313yes—
322#398C2313yes—
323#398C2316yes—
324#398C2316yes—
325#398C2316yes—
326#398C2316yes—
327#398C2316yes—
328#398C2316yes—
329#398C2313yes—
330#398C2313yes—
331#398C2313yes—
332#398C2316yes—
333#398C2316yes—
334#398C2316yes—
335#398C2316yes—
336#398C2316yes—
337#398C2316yes—
338#398C2316yes—
339#398C2316yes—
340#398C2316yes—
341#398C2316yes—
342#398C2316yes—
343#398C2313yes—
344#398C2313yes—
345#398C2313yes—
346#398C2313yes—
347#398C2316yes—
348#398C2316yes—
349#398C2316yes—
350#398C2316yes—
351#398C2313yes—
352#398C2313yes—
353#398C2313yes—
354#398C2313yes—
355#398C2313yes—
356#398C2313yes—
357#398C2313yes—
358#398C2313yes—
359#398C2316yes—
360#398C2311yescharacteristic
361#398C2311yescharacteristic
362#398C2313yes—
363#398C2313yes—
364#398C2313yes—
365#398C2313yes—
366#398C2313yes—
367#389C2311yescharacteristic
368#389C2313yes—
369#389C2313yes—
370#389C2313yes—
371#389C2313yes—
372#389C2313yes—
373#389C2313yes—
374#389C2313yes—
375#389C2313yes—
376#389C2313yes—
377#389C2313yes—
378#389C2313yes—
379#389C2313yes—
380#389C2313yes—
381#389C2313yes—
382#389C2313yes—
383#389C2313yes—
384#389C2313yes—
385#389C2313yes—
386#389C2313yes—
387#389C2313yes—
388#389C2313yes—
389#389C2313yes—
390#389C2313yes—
391#389C2313yes—
392#389C2313yes—
393#389C2313yes—
394#389C2313yes—
395#389C2313yes—
396#389C2313yes—
397#389C2313yes—
398#389C2313yes—
399#389C2313yes—
400#389C2313yes—
401#389C2313yes—
402#389C2313yes—
403#389C2313yes—
404#389C2313yes—
405#389C2313yes—
406#389C2313yes—
407#389C2313yes—
408#389C2313yes—
409#389C2313yes—
410#389C2313yes—
411#389C2313yes—
412#389C2313yes—
413#389C2313yes—
414#389C2313yes—
415#389C2313yes—
416#389C2313yes—
417#389C2313yes—
418#389C2313yes—
419#389C2313yes—
420#389C2313yes—
421#389C2316yes—
422#389C2316yes—
423#389C2313yes—
424#389C2313yes—
425#389C2313yes—
426#389C2313yes—
427#389C2313yes—
428#389C2313yes—
429#389C2313yes—
430#389C2313yes—
431#389C2313yes—
432#389C2313yes—
433#389C2313yes—
434#389C2313yes—
435#389C2313yes—
436#389C2313yes—
437#389C2313yes—
438#389C2313yes—
439#389C2313yes—
440#389C2313yes—
441#389C2316yes—
442#389C2316yes—
443#389C2316yes—
444#389C2316yes—
445#389C2316yes—
446#389C2316yes—
447#389C2316yes—
448#389C2316yes—
449#389C2313yes—
450#389C2313yes—
451#389C2313yes—
452#389C2313yes—
453#389C2313yes—
454#389C2313yes—
455#389C2316yes—
456#387C2311yescharacteristic
457#387C2311yescharacteristic
458#387C2311yescharacteristic
459#387C2311yescharacteristic
460#387C2311yescharacteristic
461#387C2311yescharacteristic
462#387C2313yes—
463#387C2313yes—
464#387C2313yes—
465#387C2313yes—
466#387C2313yes—
467#387C2313yes—
468#387C2313yes—
469#387C2313yes—
470#387C2313yes—
471#387C2313yes—
472#387C2313yes—
473#387C2313yes—
474#387C2313yes—
475#387C2313yes—
476#387C2313yes—
477#387C2313yes—
478#387C2313yes—
479#387C2313yes—
480#387C2313yes—
481#387C2313yes—
482#387C2313yes—
483#387C2313yes—
484#387C2313yes—
485#387C2313yes—
486#387C2313yes—
487#387C2313yes—
488#387C2313yes—
489#387C2313yes—
490#387C2313yes—
491#387C2313yes—
492#387C2316yes—
493#387C2316yes—
494#387C2316yes—
495#387C2316yes—
496#387C2316yes—
497#387C2316yes—
498#387C2316yes—
499#387C2316yes—
500#387C2316yes—
501#387C2316yes—
502#387C2316yes—
503#387C2316yes—
504#387C2316yes—
505#387C2316yes—
506#387C2316yes—
507#387C2316yes—
508#387C2316yes—
509#387C2316yes—
510#387C2316yes—
511#387C2316yes—
512#387C2316yes—
513#387C2316yes—
514#387C2316yes—
515#387C2316yes—
516#387C2316yes—
517#387C2316yes—
518#387C2316yes—
519#387C2316yes—
520#387C2316yes—
521#387C2316yes—
522#384C2313yes—
523#384C2313yes—
524#384C2313yes—
525#384C2313yes—
526#384C2313yes—
527#384C2313yes—
528#384C2313yes—
529#384C2313yes—
530#384C2313yes—
531#384C2313yes—
532#384C2313yes—
533#384C2313yes—
534#382C2311yescharacteristic
535#382C2311yescharacteristic
536#382C2313yes—
537#382C2313yes—
538#382C2313yes—
539#382C2313yes—
540#382C2313yes—
541#382C2313yes—
542#382C2313yes—
543#382C2316yes—
544#382C2313yes—
545#382C2313yes—
546#382C2313yes—
547#382C2313yes—
548#382C2313yes—
549#382C2313yes—
550#382C2313yes—
551#382C2313yes—
552#382C2313yes—
553#382C2313yes—
554#382C2313yes—
555#382C2313yes—
556#382C2313yes—
557#382C2313yes—
558#382C2313yes—
559#382C2313yes—
560#382C2313yes—
561#382C2313yes—
562#382C2316yes—
563#382C2316yes—
564#382C2316yes—
565#382C2316yes—
566#382C2316yes—
567#382C2316yes—
568C4×C4⋊C4C2313yes—
569C4×C4⋊C4C2313yes—
570C4×C4⋊C4C2313yes—
571C4×C4⋊C4C2313yes—
572C4×C4⋊C4C2313yes—
573C4×C4⋊C4C2313yes—
574C4×C4⋊C4C2313yes—
575C4×C4⋊C4C2313yes—
576C4×C4⋊C4C2313yes—
577C4×C4⋊C4C2313yes—
578C4×C4⋊C4C2313yes—
579C4×C4⋊C4C2313yes—
580C4×C4⋊C4C2313yes—
581C4×C4⋊C4C2313yes—
582C4×C4⋊C4C2313yes—
583C4×C4⋊C4C2313yes—
584C4×C4⋊C4C2313yes—
585C4×C4⋊C4C2313yes—
586C4×C4⋊C4C2313yes—
587C4×C4⋊C4C2313yes—
588C4×C4⋊C4C2313yes—
589C4×C4⋊C4C2313yes—
590C4×C4⋊C4C2313yes—
591C4×C4⋊C4C2313yes—
592C4×C4⋊C4C2313yes—
593C4×C4⋊C4C2313yes—
594C4×C4⋊C4C2313yes—
595C4×C4⋊C4C2313yes—
596C4×C4⋊C4C2313yes—
597C4×C4⋊C4C2313yes—
598C4×C4⋊C4C2313yes—
599C4×C4⋊C4C2313yes—
600C4×C4⋊C4C2313yes—
601C4×C4⋊C4C2313yes—
602C4×C4⋊C4C2313yes—
603C4×C4⋊C4C2313yes—
604C4×C4⋊C4C2313yes—
605C4×C4⋊C4C2313yes—
606C4×C4⋊C4C2313yes—
607C4×C4⋊C4C2313yes—
608C4×C4⋊C4C2313yes—
609C4×C4⋊C4C2313yes—
610C4×C4⋊C4C2313yes—
611C4×C4⋊C4C2313yes—
612C4×C4⋊C4C2313yes—
613#376C2313yes—
614#376C2313yes—
615C43C2313yes—
616C43C2313yes—
617C43C2313yes—
618C22×Q8C2411yescharacteristic
619#125—46no—
620#125—46no—
621#125—46no—
622#125—412no—
623#125—46no—
624#125—46no—
625#125—46no—
626#125—46no—
627#125—46no—
628#125—46no—
629#125—412no—
630#125—412no—
631C4×Q8—24no—
632C4×Q8—24no—
633C4×Q8—24no—
634C4×Q8—24no—
635C4×Q8—24no—
636C4×Q8—24no—
637C4×Q8—24no—
638C4×Q8—24no—
639C4×Q8—24no—
640C4×Q8—24no—
641C4×Q8—24no—
642C4×Q8—24no—
643C4×Q8—24no—
644C4×Q8—24no—
645C4×Q8—24no—
646C2×C4⋊C4C2413yes—
647C2×C4⋊C4C2413yes—
648C2×C4⋊C4C2413yes—
649C2×C4⋊C4C2413yes—
650C2×C4⋊C4C2413yes—
651C2×C4⋊C4C2413yes—
652C2×C4⋊C4C2413yes—
653C2×C4⋊C4C2413yes—
654C2×C4⋊C4C2413yes—
655C2×C4⋊C4C2413yes—
656C2×C4⋊C4C2413yes—
657C2×C4⋊C4C2413yes—
658C2×C4⋊C4C2413yes—
659C2×C4⋊C4C2413yes—
660C2×C4⋊C4C2413yes—
661C2×C4⋊C4C2411yescharacteristic
662C2×C4⋊C4C2411yescharacteristic
663C2×C4⋊C4C2411yescharacteristic
664C2×C4⋊C4C2411yescharacteristic
665C2×C4⋊C4C2411yescharacteristic
666C2×C4⋊C4C2411yescharacteristic
667C2×C4⋊C4C2411yescharacteristic
668C2×C4⋊C4C2413yes—
669C2×C4⋊C4C2413yes—
670C2×C4⋊C4C2413yes—
671C2×C4⋊C4C2413yes—
672C2×C4⋊C4C2413yes—
673C2×C4⋊C4C2413yes—
674C2×C4⋊C4C2413yes—
675C2×C4⋊C4C2413yes—
676C2×C4⋊C4C2413yes—
677C2×C4⋊C4C2413yes—
678C2×C4⋊C4C2413yes—
679C2×C4⋊C4C2413yes—
680C2×C4⋊C4C2413yes—
681C2×C4⋊C4C2413yes—
682C2×C4⋊C4C2413yes—
683C2×C4⋊C4C2413yes—
684C2×C4⋊C4C2413yes—
685C2×C4⋊C4C2413yes—
686C2×C4⋊C4C2413yes—
687C2×C4⋊C4C2413yes—
688C2×C4⋊C4C2413yes—
689C2×C4⋊C4C2413yes—
690C2×C4⋊C4C2413yes—
691C2×C4⋊C4C2413yes—
692C2×C4⋊C4C2413yes—
693C2×C4⋊C4C2413yes—
694C2×C4⋊C4C2413yes—
695C2×C4⋊C4C2413yes—
696C2×C4⋊C4C2413yes—
697C2×C4⋊C4C2413yes—
698C2×C4⋊C4C2413yes—
699C2×C4⋊C4C2413yes—
700C2×C4⋊C4C2413yes—
701C2×C4⋊C4C2413yes—
702C2×C4⋊C4C2413yes—
703C2×C4⋊C4C2413yes—
704C2×C4⋊C4C2413yes—
705C2×C4⋊C4C2413yes—
706C2×C4⋊C4C2413yes—
707C2×C4⋊C4C2413yes—
708C2×C4⋊C4C2413yes—
709C2×C4⋊C4C2416yes—
710C2×C4⋊C4C2416yes—
711C2×C4⋊C4C2416yes—
712C2×C4⋊C4C2416yes—
713C2×C4⋊C4C2416yes—
714C2×C4⋊C4C2416yes—
715C2×C4⋊C4C2416yes—
716C2×C4⋊C4C2416yes—
717C2×C4⋊C4C2416yes—
718C2×C4⋊C4C2416yes—
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2413yes—
725C2×C4⋊C4C2413yes—
726C2×C4⋊C4C2413yes—
727C2×C4⋊C4C2413yes—
728C2×C4⋊C4C2413yes—
729C2×C4⋊C4C2413yes—
730C2×C4⋊C4C2413yes—
731C2×C4⋊C4C2416yes—
732C2×C4⋊C4C2416yes—
733C2×C42C2413yes—
734C2×C42C2413yes—
735C2×C42C2413yes—
736C2×C42C2413yes—
737C2×C42C2413yes—
738C2×C42C2413yes—
739C2×C42C2413yes—
740C2×C42C2413yes—
741C2×C42C2413yes—
742C2×C42C2413yes—
743C2×C42C2413yes—
744C2×C42C2413yes—
745C2×C42C2413yes—
746C2×C42C2413yes—
747C2×C42C2413yes—
748C2×C42C2411yescharacteristic
749C2×C42C2411yescharacteristic
750C2×C42C2413yes—
751C2×C42C2413yes—
752C2×C42C2413yes—
753C2×C42C2413yes—
754C2×C42C2413yes—
755C2×C42C2413yes—
756C2×C42C2413yes—
757C2×C42C2416yes—
758C2×C42C2416yes—
759C2×C42C2411yescharacteristic
760C2×C42C2413yes—
761C2×C42C2413yes—
762#95C2411yescharacteristic
763#95C2411yescharacteristic
764#95C2413yes—
765#95C2413yes—
766#95C2413yes—
767#95C2413yes—
768#95C2413yes—
769#95C2413yes—
770#95C2411yescharacteristic
771#95C2411yescharacteristic
772#95C2411yescharacteristic
773#95C2411yescharacteristic
774#95C2411yescharacteristic
775#95C2411yescharacteristic
776#95C2411yescharacteristic
777#95C2411yescharacteristic
778#95C2411yescharacteristic
779#95C2411yescharacteristic
780#95C2411yescharacteristic
781#95C2411yescharacteristic
782#95C2411yescharacteristic
783#95C2411yescharacteristic
784#95C2411yescharacteristic
785#95C2411yescharacteristic
786#95C2411yescharacteristic
787#95C2411yescharacteristic
788#95C2416yes—
789#95C2416yes—
790#95C2416yes—
791#95C2413yes—
792#95C2413yes—
793#95C2413yes—
794#95C2413yes—
795#95C2413yes—
796#95C2413yes—
797#95C2413yes—
798#95C2413yes—
799#95C2413yes—
800#95C2413yes—
801#95C2413yes—
802#95C2413yes—
803#95C2413yes—
804#95C2413yes—
805#95C2413yes—
806#95C2413yes—
807#95C2413yes—
808#95C2413yes—
809#95C2413yes—
810#95C2413yes—
811#95C2413yes—
812#95C2413yes—
813#95C2413yes—
814#95C2413yes—
815#95C2413yes—
816#95C2413yes—
817#95C2413yes—
818#95C2413yes—
819#95C2413yes—
820#95C2413yes—
821#95C2413yes—
822#95C2413yes—
823#95C2413yes—
824#95C2413yes—
825#95C2413yes—
826#95C2413yes—
827#95C2413yes—
828#95C2413yes—
829#95C2413yes—
830#95C2413yes—
831#95C2413yes—
832#95C2413yes—
833#95C2416yes—
834#95C2416yes—
835#95C2416yes—
836#95C2416yes—
837#95C2416yes—
838#95C2416yes—
839#95C2416yes—
840#95C2416yes—
841#95C2416yes—
842#95C2416yes—
843#95C2416yes—
844#95C2416yes—
845#95C2416yes—
846#95C2416yes—
847#95C2416yes—
848#95C2416yes—
849#95C2416yes—
850#95C2416yes—
851C2×Q82−1+414yes—
852C2×Q82−1+414yes—
853C2×Q82−1+414yes—
854C22×C4C2511yescharacteristic
855C22×C4C2511yescharacteristic
856C22×C4C2511yescharacteristic
857C22×C4C2511yescharacteristic
858C22×C4C2511yescharacteristic
859C22×C4C2511yescharacteristic
860C22×C4C2511yescharacteristic
861C22×C4C2511yescharacteristic
862C22×C4C2513yes—
863C22×C4C2513yes—
864C22×C4C2513yes—
865C22×C4C2513yes—
866C22×C4C2513yes—
867C22×C4C2513yes—
868C22×C4C2511yescharacteristic
869C22×C4C2511yescharacteristic
870C22×C4C2511yescharacteristic
871C22×C4C2511yescharacteristic
872C22×C4C2513yes—
873C22×C4C2513yes—
874C22×C4C2513yes—
875C22×C4C2513yes—
876C22×C4C2513yes—
877C22×C4C2513yes—
878C22×C4C2513yes—
879C22×C4C2513yes—
880C22×C4C2513yes—
881C22×C4C2511yescharacteristic
882C22×C4C2511yescharacteristic
883C22×C4C2511yescharacteristic
884C22×C4C2513yes—
885C4⋊C4—26no—
886C4⋊C4—26no—
887C4⋊C4—26no—
888C4⋊C4—26no—
889C4⋊C4—26no—
890C4⋊C4—26no—
891C4⋊C4—26no—
892C4⋊C4—26no—
893C4⋊C4—26no—
894C4⋊C4—26no—
895C4⋊C4—26no—
896C4⋊C4—26no—
897C4⋊C4—26no—
898C4⋊C4—26no—
899C4⋊C4—26no—
900C4⋊C4—22no—
901C4⋊C4—22no—
902C4⋊C4—22no—
903C4⋊C4—22no—
904C4⋊C4—22no—
905C4⋊C4—22no—
906C4⋊C4—26no—
907C4⋊C4—26no—
908C4⋊C4—26no—
909C4⋊C4—26no—
910C4⋊C4—26no—
911C4⋊C4—26no—
912C4⋊C4—26no—
913C4⋊C4—26no—
914C4⋊C4—26no—
915C4⋊C4—26no—
916C4⋊C4—26no—
917C4⋊C4—22no—
918C4⋊C4—41no—
919C4⋊C4—41no—
920C4⋊C4—41no—
921C4⋊C4—43no—
922C4⋊C4—43no—
923C4⋊C4—46no—
924C4⋊C4—46no—
925C4⋊C4—41no—
926C4⋊C4—41no—
927C4⋊C4—43no—
928C4⋊C4—43no—
929C4⋊C4—43no—
930C4⋊C4—43no—
931C4⋊C4—43no—
932C4⋊C4—43no—
933C4⋊C4—43no—
934C4⋊C4—43no—
935C4⋊C4—43no—
936C4⋊C4—43no—
937C4⋊C4—43no—
938C4⋊C4—46no—
939C4⋊C4—43no—
940C4⋊C4—43no—
941C4⋊C4—43no—
942C4⋊C4—43no—
943C4⋊C4—43no—
944C4⋊C4—43no—
945C4⋊C4—43no—
946C4⋊C4—46no—
947C4⋊C4—46no—
948C4⋊C4—46no—
949C4⋊C4—43no—
950C4⋊C4—43no—
951C4⋊C4—43no—
952C4⋊C4—43no—
953C4⋊C4—43no—
954C4⋊C4—46no—
955C4⋊C4—46no—
956C4⋊C4—43no—
957C4⋊C4—43no—
958C4⋊C4—43no—
959C4⋊C4—43no—
960C4⋊C4—46no—
961C4⋊C4—46no—
962C4⋊C4—46no—
963C4⋊C4—46no—
964C4⋊C4—43no—
965C4⋊C4—43no—
966C4⋊C4—43no—
967C4⋊C4—43no—
968C4⋊C4—43no—
969C4⋊C4—43no—
970C4⋊C4—43no—
971C4⋊C4—43no—
972C42—26no—
973C42—26no—
974C42—26no—
975C42—26no—
976C42—26no—
977C42—26no—
978C42—26no—
979C42—26no—
980C42—26no—
981C42—26no—
982C42—26no—
983C42—26no—
984C42—26no—
985C42—26no—
986C42—26no—
987C42—22no—
988C42—26no—
989C42—22no—
990C42—43no—
991C42—43no—
992C42—41no—
993C42—43no—
994C42—43no—
995C42—43no—
996C42—43no—
997C42—43no—
998C42—43no—
999C42—46no—
1000C42—46no—
1001C23C2611yescharacteristic
1002Q8#564116yes—
1003C2×C4—21no—
1004C2×C4—21no—
1005C2×C4—21no—
1006C2×C4—21no—
1007C2×C4—21no—
1008C2×C4—21no—
1009C2×C4—21no—
1010C2×C4—21no—
1011C2×C4—21no—
1012C2×C4—21no—
1013C2×C4—21no—
1014C2×C4—21no—
1015C2×C4—21no—
1016C2×C4—21no—
1017C2×C4—21no—
1018C2×C4—21no—
1019C2×C4—21no—
1020C2×C4—21no—
1021C2×C4—23no—
1022C2×C4—23no—
1023C2×C4—23no—
1024C2×C4—23no—
1025C2×C4—23no—
1026C2×C4—23no—
1027C2×C4—23no—
1028C2×C4—23no—
1029C2×C4—23no—
1030C2×C4—23no—
1031C2×C4—23no—
1032C2×C4—23no—
1033C2×C4—23no—
1034C2×C4—23no—
1035C2×C4—23no—
1036C2×C4—21no—
1037C2×C4—21no—
1038C2×C4—23no—
1039C2×C4—21no—
1040C2×C4—23no—
1041C2×C4—21no—
1042C2×C4—21no—
1043C2×C4—21no—
1044C2×C4—21no—
1045C2×C4—21no—
1046C2×C4—23no—
1047C2×C4—23no—
1048C2×C4—23no—
1049C2×C4—23no—
1050C2×C4—23no—
1051C2×C4—23no—
1052C2×C4—23no—
1053C2×C4—23no—
1054C2×C4—23no—
1055C2×C4—23no—
1056C2×C4—23no—
1057C2×C4—23no—
1058C2×C4—23no—
1059C2×C4—23no—
1060C2×C4—23no—
1061C2×C4—23no—
1062C2×C4—23no—
1063C2×C4—23no—
1064C2×C4—21no—
1065C2×C4—23no—
1066C2×C4—23no—
1067C2×C4—21no—
1068C2×C4—23no—
1069C2×C4—21no—
1070C2×C4—21no—
1071C2×C4—23no—
1072C2×C4—21no—
1073C2×C4—21no—
1074C2×C4—21no—
1075C2×C4—21no—
1076C2×C4—21no—
1077C2×C4—21no—
1078C2×C4—23no—
1079C2×C4—21no—
1080C2×C4—21no—
1081C2×C4—23no—
1082C2×C4—23no—
1083C2×C4—23no—
1084C2×C4—21no—
1085C2×C4—23no—
1086C2×C4—21no—
1087C2×C4—21no—
1088C2×C4—21no—
1089C2×C4—23no—
1090C2×C4C2×2−1+416yes—
1091C2×C4C2×2−1+416yes—
1092C2×C4C2×2−1+416yes—
1093C2×C4#58512yes—
1094C2×C4#58512yes—
1095C2×C4#58512yes—
1096C22C22×2−1+411yescharacteristic
1097C22C22×2−1+411yescharacteristic
1098C22C22×2−1+411yescharacteristic
1099C22C2×#58511yescharacteristic
1100C22C2×#58511yescharacteristic
1101C22C2×#58511yescharacteristic
1102C222−1+611yescharacteristic
1103C4—22no—
1104C4—22no—
1105C4—22no—
1106C4—41no—
1107C4—41no—
1108C4—43no—
1109C4—43no—
1110C4—43no—
1111C4—43no—
1112C4—43no—
1113C4—43no—
1114C4—41no—
1115C4—41no—
1116C4—43no—
1117C4—43no—
1118C4—43no—
1119C4—41no—
1120C4—41no—
1121C4—43no—
1122C4—43no—
1123C4—41no—
1124C4—41no—
1125C4—41no—
1126C4—41no—
1127C4—41no—
1128C4—41no—
1129C4—43no—
1130C4—43no—
1131C4—43no—
1132C4—43no—
1133C4C2×#564112yes—
1134C2C22×#56411yescharacteristic
1135C2#6294911yescharacteristic
1136C2#6295311yescharacteristic
1137C2#6295311yescharacteristic
1138C2#6303311yescharacteristic
1139C2#6303311yescharacteristic
1140C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, prime radical, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Maximal subgroups

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

subgroupindex
#531572
#531562
#531312
#529962
#523052
#461912
#461812
#461752
#461572
#365842
#364752
#364472
#359712
#358682