Finite Group Databasebeta

← #8096510

Subgroups — #8096510

Order 512.

3847 conjugacy classes of subgroups.

The subgroup lattice has 1150 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53131C213yesmaximal
2#53121C213yesmaximal
3#53036C213yesmaximal
4#53036C213yesmaximal
5#52996C213yesmaximal
6#52996C213yesmaximal
7#52305C213yesmaximal
8#46191C213yesmaximal
9#46181C213yesmaximal
10#46181C213yesmaximal
11#46181C213yesmaximal
12#46175C213yesmaximal
13#46175C213yesmaximal
14#46175C213yesmaximal
15#46157C213yesmaximal
16#46153C213yesmaximal
17#36584C211yesmaximal, characteristic
18Q8×#125C211yesmaximal, characteristic
19Q8×#125C211yesmaximal, characteristic
20#36475C211yesmaximal, characteristic
21#36475C211yesmaximal, characteristic
22#36475C211yesmaximal, characteristic
23#36475C211yesmaximal, characteristic
24#36447C211yesmaximal, characteristic
25#36447C211yesmaximal, characteristic
26#35971C211yesmaximal, characteristic
27#35971C211yesmaximal, characteristic
28#35971C211yesmaximal, characteristic
29#35868C211yesmaximal, characteristic
30#35868C211yesmaximal, characteristic
31#35868C211yesmaximal, characteristic
32#2864C2213yes—
33#2864C2213yes—
34#2864C2213yes—
35#2864C2213yes—
36#2859C2213yes—
37#2859C2213yes—
38#2859C2213yes—
39#2859C2213yes—
40#2859C2213yes—
41#2845C2216yes—
42#2839C2216yes—
43#2839C2216yes—
44#2839C2216yes—
45#2839C2216yes—
46#2839C2216yes—
47#2839C2216yes—
48#2839C2216yes—
49#2839C2216yes—
50#2822C2216yes—
51#2822C2216yes—
52#2810C2213yes—
53#2810C2216yes—
54#2767C2213yes—
55#2767C2216yes—
56#2767C2216yes—
57#2767C2216yes—
58#2767C2213yes—
59#2767C2216yes—
60#2767C2213yes—
61#2767C2213yes—
62#2767C2213yes—
63#2767C2213yes—
64#2767C2216yes—
65#2767C2216yes—
66#2726C2216yes—
67#2726C2216yes—
68#2726C2213yes—
69#2726C2216yes—
70#2726C2216yes—
71#2726C2216yes—
72#2726C2213yes—
73#2726C2213yes—
74#2719C2213yes—
75#2719C2216yes—
76#2719C2216yes—
77#2719C2216yes—
78#2719C2213yes—
79#2719C2216yes—
80#2719C2216yes—
81#2719C2216yes—
82#2719C2211yescharacteristic
83#2719C2213yes—
84#2719C2213yes—
85#2719C2213yes—
86#2719C2216yes—
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#2570C2213yes—
103#2570C2213yes—
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#2552C2213yes—
117#2552C2213yes—
118#2552C2213yes—
119#2552C2213yes—
120#2552C2213yes—
121#2552C2213yes—
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#2508C2213yes—
140#2508C2213yes—
141#2508C2213yes—
142#2508C2213yes—
143#2508C2213yes—
144#2508C2213yes—
145#2508C2213yes—
146#2508C2213yes—
147#2508C2213yes—
148#2508C2213yes—
149#2508C2213yes—
150#2508C2213yes—
151#2508C2213yes—
152#2508C2213yes—
153#2507C2213yes—
154#2507C2213yes—
155#2507C2213yes—
156#2507C2213yes—
157#2507C2213yes—
158#2507C2213yes—
159#2507C2213yes—
160#2507C2213yes—
161#2507C2213yes—
162#2507C2213yes—
163#2507C2213yes—
164#2507C2213yes—
165#2507C2213yes—
166#2507C2213yes—
167#2507C2213yes—
168#2507C2213yes—
169#2507C2213yes—
170#2507C2213yes—
171#2506C2213yes—
172#2506C2213yes—
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
208Q8×C4⋊C4C2211yescharacteristic
209Q8×C4⋊C4C2211yescharacteristic
210Q8×C4⋊C4C2211yescharacteristic
211Q8×C4⋊C4C2211yescharacteristic
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×#125C2311yescharacteristic
239C2×#125C2311yescharacteristic
240C2×#125C2313yes—
241C2×#125C2313yes—
242C2×#125C2313yes—
243C2×#125C2313yes—
244C2×#125C2313yes—
245C2×#125C2313yes—
246C2×#125C2313yes—
247C2×#125C2316yes—
248C2×#125C2316yes—
249C2×#125C2316yes—
250C2×#125C2316yes—
251C2×#125C2316yes—
252C2×#125C2316yes—
253C2×#125C2316yes—
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
265C2×C4×Q8C2311yescharacteristic
266C2×C4×Q8C2311yescharacteristic
267C2×C4×Q8C2311yescharacteristic
268C2×C4×Q8C2311yescharacteristic
269#400C2313yes—
270#400C2313yes—
271#400C2316yes—
272#400C2316yes—
273#400C2316yes—
274#400C2316yes—
275#400C2316yes—
276#400C2316yes—
277#400C2313yes—
278#400C2313yes—
279#400C2316yes—
280#400C2316yes—
281#400C2316yes—
282#400C2316yes—
283#400C2316yes—
284#400C2316yes—
285#400C2316yes—
286#400C2316yes—
287#400C2316yes—
288#400C2313yes—
289#400C2313yes—
290#400C2313yes—
291#400C2316yes—
292#400C2316yes—
293#400C2316yes—
294#400C2316yes—
295#400C2316yes—
296#400C2313yes—
297#400C2313yes—
298#400C2316yes—
299#400C2316yes—
300#400C2316yes—
301#400C2316yes—
302#400C2316yes—
303#400C2313yes—
304#400C2313yes—
305#400C2313yes—
306#400C2313yes—
307#400C2313yes—
308#400C2313yes—
309#400C2313yes—
310#400C2313yes—
311#400C2311yescharacteristic
312#400C2311yescharacteristic
313#400C2311yescharacteristic
314#400C2313yes—
315#400C2313yes—
316#400C2313yes—
317#400C2313yes—
318#398C2316yes—
319#398C2316yes—
320#398C2313yes—
321#398C2313yes—
322#398C2313yes—
323#398C2316yes—
324#398C2316yes—
325#398C2316yes—
326#398C2316yes—
327#398C2316yes—
328#398C2316yes—
329#398C2316yes—
330#398C2316yes—
331#398C2316yes—
332#398C2313yes—
333#398C2313yes—
334#398C2313yes—
335#398C2316yes—
336#398C2316yes—
337#398C2316yes—
338#398C2316yes—
339#398C2316yes—
340#398C2316yes—
341#398C2316yes—
342#398C2316yes—
343#398C2316yes—
344#398C2313yes—
345#398C2316yes—
346#398C2316yes—
347#398C2313yes—
348#398C2313yes—
349#398C2313yes—
350#398C2316yes—
351#398C2316yes—
352#398C2316yes—
353#398C2316yes—
354#398C2316yes—
355#398C2313yes—
356#398C2313yes—
357#398C2316yes—
358#398C2316yes—
359#398C2311yescharacteristic
360#398C2311yescharacteristic
361#398C2311yescharacteristic
362#398C2313yes—
363#398C2313yes—
364#398C2313yes—
365#398C2313yes—
366#398C2313yes—
367#398C2313yes—
368#398C2313yes—
369#398C2313yes—
370#398C2313yes—
371#389C2311yescharacteristic
372#389C2311yescharacteristic
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#389C2316yes—
418#389C2316yes—
419#389C2316yes—
420#389C2313yes—
421#389C2313yes—
422#389C2313yes—
423#389C2313yes—
424#389C2313yes—
425#389C2313yes—
426#389C2313yes—
427#389C2313yes—
428#389C2313yes—
429#389C2313yes—
430#389C2313yes—
431#389C2313yes—
432#389C2313yes—
433#389C2313yes—
434#389C2316yes—
435#389C2316yes—
436#389C2316yes—
437#389C2316yes—
438#389C2316yes—
439#389C2316yes—
440#389C2313yes—
441#389C2313yes—
442#389C2313yes—
443#389C2313yes—
444#389C2316yes—
445#389C2316yes—
446#389C2313yes—
447#389C2313yes—
448#389C2313yes—
449#389C2313yes—
450#389C2313yes—
451#389C2313yes—
452#389C2313yes—
453#389C2313yes—
454#389C2313yes—
455#389C2313yes—
456#389C2313yes—
457#389C2313yes—
458#389C2313yes—
459#389C2313yes—
460#389C2316yes—
461#389C2316yes—
462#389C2316yes—
463#387C2311yescharacteristic
464#387C2311yescharacteristic
465#387C2311yescharacteristic
466#387C2311yescharacteristic
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#387C2313yes—
493#387C2313yes—
494#387C2313yes—
495#387C2313yes—
496#387C2313yes—
497#387C2313yes—
498#387C2313yes—
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#387C2316yes—
523#384C2313yes—
524#384C2313yes—
525#384C2313yes—
526#384C2313yes—
527#384C2313yes—
528#384C2313yes—
529#384C2313yes—
530#384C2313yes—
531#384C2313yes—
532#384C2313yes—
533#384C2313yes—
534#384C2313yes—
535#384C2313yes—
536#384C2313yes—
537#384C2313yes—
538#384C2313yes—
539#382C2311yescharacteristic
540#382C2313yes—
541#382C2313yes—
542#382C2313yes—
543#382C2313yes—
544#382C2313yes—
545#382C2313yes—
546#382C2313yes—
547#382C2313yes—
548#382C2316yes—
549#382C2316yes—
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#382C2313yes—
563#382C2313yes—
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—24no—
620#125—24no—
621#125—212no—
622#125—46no—
623#125—46no—
624#125—412no—
625#125—46no—
626#125—46no—
627#125—46no—
628#125—46no—
629#125—412no—
630#125—86no—
631#125—86no—
632#125—86no—
633#125—86no—
634#125—86no—
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—
646C4×Q8—24no—
647C4×Q8—24no—
648C4×Q8—24no—
649C4×Q8—24no—
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⋊C4C2413yes—
662C2×C4⋊C4C2413yes—
663C2×C4⋊C4C2413yes—
664C2×C4⋊C4C2413yes—
665C2×C4⋊C4C2411yescharacteristic
666C2×C4⋊C4C2411yescharacteristic
667C2×C4⋊C4C2411yescharacteristic
668C2×C4⋊C4C2411yescharacteristic
669C2×C4⋊C4C2411yescharacteristic
670C2×C4⋊C4C2413yes—
671C2×C4⋊C4C2413yes—
672C2×C4⋊C4C2413yes—
673C2×C4⋊C4C2413yes—
674C2×C4⋊C4C2413yes—
675C2×C4⋊C4C2413yes—
676C2×C4⋊C4C2413yes—
677C2×C4⋊C4C2411yescharacteristic
678C2×C4⋊C4C2411yescharacteristic
679C2×C4⋊C4C2411yescharacteristic
680C2×C4⋊C4C2411yescharacteristic
681C2×C4⋊C4C2411yescharacteristic
682C2×C4⋊C4C2411yescharacteristic
683C2×C4⋊C4C2411yescharacteristic
684C2×C4⋊C4C2411yescharacteristic
685C2×C4⋊C4C2411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
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⋊C4C2416yes—
705C2×C4⋊C4C2416yes—
706C2×C4⋊C4C2416yes—
707C2×C4⋊C4C2416yes—
708C2×C4⋊C4C2416yes—
709C2×C4⋊C4C2416yes—
710C2×C4⋊C4C2416yes—
711C2×C4⋊C4C2416yes—
712C2×C4⋊C4C2416yes—
713C2×C4⋊C4C2413yes—
714C2×C4⋊C4C2413yes—
715C2×C4⋊C4C2413yes—
716C2×C4⋊C4C2413yes—
717C2×C4⋊C4C2413yes—
718C2×C4⋊C4C2413yes—
719C2×C4⋊C4C2413yes—
720C2×C4⋊C4C2413yes—
721C2×C4⋊C4C2413yes—
722C2×C4⋊C4C2413yes—
723C2×C4⋊C4C2413yes—
724C2×C4⋊C4C2413yes—
725C2×C4⋊C4C2413yes—
726C2×C4⋊C4C2413yes—
727C2×C4⋊C4C2413yes—
728C2×C4⋊C4C2413yes—
729C2×C4⋊C4C2413yes—
730C2×C4⋊C4C2413yes—
731C2×C4⋊C4C2413yes—
732C2×C4⋊C4C2413yes—
733C2×C4⋊C4C2416yes—
734C2×C4⋊C4C2416yes—
735C2×C4⋊C4C2416yes—
736C2×C4⋊C4C2416yes—
737C2×C4⋊C4C2416yes—
738C2×C4⋊C4C2416yes—
739C2×C4⋊C4C2416yes—
740C2×C4⋊C4C2411yescharacteristic
741C2×C42C2413yes—
742C2×C42C2413yes—
743C2×C42C2413yes—
744C2×C42C2413yes—
745C2×C42C2413yes—
746C2×C42C2413yes—
747C2×C42C2413yes—
748C2×C42C2413yes—
749C2×C42C2413yes—
750C2×C42C2413yes—
751C2×C42C2413yes—
752C2×C42C2413yes—
753C2×C42C2413yes—
754C2×C42C2413yes—
755C2×C42C2413yes—
756C2×C42C2411yescharacteristic
757C2×C42C2413yes—
758C2×C42C2411yescharacteristic
759C2×C42C2411yescharacteristic
760C2×C42C2413yes—
761C2×C42C2413yes—
762C2×C42C2413yes—
763C2×C42C2413yes—
764C2×C42C2416yes—
765C2×C42C2413yes—
766C2×C42C2413yes—
767C2×C42C2413yes—
768C2×C42C2413yes—
769C2×C42C2416yes—
770#95C2411yescharacteristic
771#95C2411yescharacteristic
772#95C2413yes—
773#95C2413yes—
774#95C2413yes—
775#95C2413yes—
776#95C2413yes—
777#95C2413yes—
778#95C2411yescharacteristic
779#95C2411yescharacteristic
780#95C2411yescharacteristic
781#95C2411yescharacteristic
782#95C2411yescharacteristic
783#95C2411yescharacteristic
784#95C2411yescharacteristic
785#95C2411yescharacteristic
786#95C2411yescharacteristic
787#95C2411yescharacteristic
788#95C2411yescharacteristic
789#95C2411yescharacteristic
790#95C2411yescharacteristic
791#95C2411yescharacteristic
792#95C2416yes—
793#95C2416yes—
794#95C2416yes—
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#95C2413yes—
834#95C2413yes—
835#95C2413yes—
836#95C2413yes—
837#95C2413yes—
838#95C2413yes—
839#95C2413yes—
840#95C2413yes—
841#95C2416yes—
842#95C2416yes—
843#95C2416yes—
844#95C2416yes—
845#95C2416yes—
846#95C2416yes—
847#95C2416yes—
848#95C2416yes—
849#95C2416yes—
850#95C2416yes—
851#95C2416yes—
852#95C2416yes—
853#95C2416yes—
854#95C2416yes—
855C2×Q82−1+414yes—
856C2×Q82−1+414yes—
857C2×Q82−1+414yes—
858C22×C4C2511yescharacteristic
859C22×C4C2511yescharacteristic
860C22×C4C2511yescharacteristic
861C22×C4C2511yescharacteristic
862C22×C4C2511yescharacteristic
863C22×C4C2513yes—
864C22×C4C2513yes—
865C22×C4C2511yescharacteristic
866C22×C4C2511yescharacteristic
867C22×C4C2513yes—
868C22×C4C2513yes—
869C22×C4C2511yescharacteristic
870C22×C4C2513yes—
871C22×C4C2513yes—
872C22×C4C2513yes—
873C22×C4C2511yescharacteristic
874C22×C4C2511yescharacteristic
875C22×C4C2513yes—
876C22×C4C2513yes—
877C22×C4C2513yes—
878C22×C4C2513yes—
879C22×C4C2513yes—
880C22×C4C2513yes—
881C22×C4C2513yes—
882C22×C4C2513yes—
883C22×C4C2511yescharacteristic
884C22×C4C2511yescharacteristic
885C22×C4C2511yescharacteristic
886C22×C4C2511yescharacteristic
887C22×C4C2511yescharacteristic
888C22×C4C2513yes—
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—26no—
901C4⋊C4—26no—
902C4⋊C4—26no—
903C4⋊C4—26no—
904C4⋊C4—22no—
905C4⋊C4—22no—
906C4⋊C4—22no—
907C4⋊C4—22no—
908C4⋊C4—22no—
909C4⋊C4—22no—
910C4⋊C4—22no—
911C4⋊C4—22no—
912C4⋊C4—26no—
913C4⋊C4—26no—
914C4⋊C4—26no—
915C4⋊C4—26no—
916C4⋊C4—26no—
917C4⋊C4—22no—
918C4⋊C4—22no—
919C4⋊C4—22no—
920C4⋊C4—22no—
921C4⋊C4—22no—
922C4⋊C4—22no—
923C4⋊C4—26no—
924C4⋊C4—26no—
925C4⋊C4—26no—
926C4⋊C4—26no—
927C4⋊C4—26no—
928C4⋊C4—26no—
929C4⋊C4—26no—
930C4⋊C4—22no—
931C4⋊C4—43no—
932C4⋊C4—43no—
933C4⋊C4—43no—
934C4⋊C4—43no—
935C4⋊C4—43no—
936C4⋊C4—46no—
937C4⋊C4—43no—
938C4⋊C4—43no—
939C4⋊C4—43no—
940C4⋊C4—43no—
941C4⋊C4—43no—
942C4⋊C4—46no—
943C4⋊C4—46no—
944C4⋊C4—46no—
945C4⋊C4—43no—
946C4⋊C4—43no—
947C4⋊C4—46no—
948C4⋊C4—43no—
949C4⋊C4—43no—
950C4⋊C4—46no—
951C4⋊C4—46no—
952C4⋊C4—43no—
953C4⋊C4—43no—
954C4⋊C4—43no—
955C4⋊C4—43no—
956C4⋊C4—43no—
957C4⋊C4—43no—
958C4⋊C4—43no—
959C4⋊C4—43no—
960C4⋊C4—43no—
961C4⋊C4—43no—
962C4⋊C4—43no—
963C4⋊C4—43no—
964C4⋊C4—46no—
965C4⋊C4—46no—
966C4⋊C4—46no—
967C4⋊C4—46no—
968C4⋊C4—46no—
969C4⋊C4—46no—
970C4⋊C4—43no—
971C4⋊C4—43no—
972C4⋊C4—43no—
973C4⋊C4—43no—
974C4⋊C4—43no—
975C4⋊C4—43no—
976C4⋊C4—46no—
977C4⋊C4—46no—
978C4⋊C4—46no—
979C4⋊C42−1+414yes—
980C42—26no—
981C42—26no—
982C42—26no—
983C42—26no—
984C42—26no—
985C42—26no—
986C42—26no—
987C42—26no—
988C42—26no—
989C42—26no—
990C42—26no—
991C42—26no—
992C42—26no—
993C42—26no—
994C42—26no—
995C42—22no—
996C42—26no—
997C42—22no—
998C42—22no—
999C42—26no—
1000C42—43no—
1001C42—43no—
1002C42—43no—
1003C42—43no—
1004C42—46no—
1005C42—43no—
1006C42—43no—
1007C42—43no—
1008C42—46no—
1009C23C2611yescharacteristic
1010Q8#564116yes—
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—21no—
1022C2×C4—21no—
1023C2×C4—21no—
1024C2×C4—21no—
1025C2×C4—21no—
1026C2×C4—21no—
1027C2×C4—21no—
1028C2×C4—21no—
1029C2×C4—21no—
1030C2×C4—21no—
1031C2×C4—21no—
1032C2×C4—23no—
1033C2×C4—23no—
1034C2×C4—23no—
1035C2×C4—23no—
1036C2×C4—21no—
1037C2×C4—23no—
1038C2×C4—23no—
1039C2×C4—21no—
1040C2×C4—23no—
1041C2×C4—23no—
1042C2×C4—23no—
1043C2×C4—23no—
1044C2×C4—23no—
1045C2×C4—23no—
1046C2×C4—23no—
1047C2×C4—23no—
1048C2×C4—23no—
1049C2×C4—23no—
1050C2×C4—23no—
1051C2×C4—21no—
1052C2×C4—23no—
1053C2×C4—21no—
1054C2×C4—21no—
1055C2×C4—21no—
1056C2×C4—23no—
1057C2×C4—23no—
1058C2×C4—21no—
1059C2×C4—23no—
1060C2×C4—21no—
1061C2×C4—21no—
1062C2×C4—23no—
1063C2×C4—23no—
1064C2×C4—23no—
1065C2×C4—23no—
1066C2×C4—23no—
1067C2×C4—23no—
1068C2×C4—23no—
1069C2×C4—23no—
1070C2×C4—23no—
1071C2×C4—23no—
1072C2×C4—23no—
1073C2×C4—21no—
1074C2×C4—21no—
1075C2×C4—21no—
1076C2×C4—23no—
1077C2×C4—21no—
1078C2×C4—21no—
1079C2×C4—23no—
1080C2×C4—21no—
1081C2×C4—23no—
1082C2×C4—21no—
1083C2×C4—21no—
1084C2×C4—23no—
1085C2×C4—23no—
1086C2×C4—23no—
1087C2×C4—23no—
1088C2×C4—23no—
1089C2×C4—23no—
1090C2×C4—23no—
1091C2×C4—23no—
1092C2×C4—23no—
1093C2×C4—21no—
1094C2×C4—21no—
1095C2×C4—23no—
1096C2×C4C2×2−1+412yes—
1097C2×C4C2×2−1+412yes—
1098C2×C4C2×2−1+412yes—
1099C2×C4C2×2−1+416yes—
1100C2×C4C2×2−1+416yes—
1101C2×C4C2×2−1+416yes—
1102C2×C4#58512yes—
1103C2×C4#58512yes—
1104C22C22×2−1+411yescharacteristic
1105C22C22×2−1+411yescharacteristic
1106C22C22×2−1+411yescharacteristic
1107C22C22×2−1+411yescharacteristic
1108C22C2×#58511yescharacteristic
1109C22C2×#58511yescharacteristic
1110C22H(7,𝔽2)11yescharacteristic
1111C4—22no—
1112C4—22no—
1113C4—22no—
1114C4—22no—
1115C4—22no—
1116C4—41no—
1117C4—41no—
1118C4—43no—
1119C4—41no—
1120C4—43no—
1121C4—43no—
1122C4—43no—
1123C4—41no—
1124C4—41no—
1125C4—41no—
1126C4—43no—
1127C4—41no—
1128C4—41no—
1129C4—43no—
1130C4—43no—
1131C4—41no—
1132C4—41no—
1133C4—43no—
1134C4—43no—
1135C4—43no—
1136C4—43no—
1137C4—43no—
1138C4—43no—
1139C4—43no—
1140C4—43no—
1141C4C2×#564112yes—
1142C2C22×#56411yescharacteristic
1143C2#6294311yescharacteristic
1144C2#6295211yescharacteristic
1145C2#6295211yescharacteristic
1146C2#6303211yescharacteristic
1147C2#6303311yescharacteristic
1148C2#6303811yescharacteristic
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
#531312
#531212
#530362
#529962
#523052
#461912
#461812
#461752
#461572
#461532
#365842
Q8×#1252
#364752
#364472
#359712
#358682