Finite Group Databasebeta

← #7680448

Subgroups — #7680448

Order 512.

4412 conjugacy classes of subgroups.

The subgroup lattice has 1547 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59963C212yesmaximal, complemented
2#59766C212yesmaximal, complemented
3#59718C212yesmaximal
4#59511C212yesmaximal
5#59481C212yesmaximal
6#59481C212yesmaximal
7#59467C212yesmaximal, complemented
8#59447C212yesmaximal, complemented
9#44732C214yesmaximal
10#44712C214yesmaximal, complemented
11#43884C214yesmaximal
12#43850C214yesmaximal, complemented
13#39478C211yesmaximal, characteristic
14#39475C212yesmaximal
15#39353C211yesmaximal, characteristic
16#39353C212yesmaximal
17#39183C211yesmaximal, characteristic, complemented
18#39170C211yesmaximal, characteristic, complemented
19#38243C212yesmaximal, complemented
20#38227C212yesmaximal, complemented
21#36577C211yesmaximal, characteristic
22#36545C211yesmaximal, characteristic
23#36313C211yesmaximal, characteristic, complemented
24#36285C211yesmaximal, characteristic, complemented
25#35656C212yesmaximal, complemented
26#35642C212yesmaximal, complemented
27#35323C212yesmaximal
28#35291C211yesmaximal, characteristic
29#34951C211yesmaximal, characteristic, complemented
30#34951C211yesmaximal, characteristic, complemented
31#34337C211yesmaximal, characteristic, complemented
32#34328C211yesmaximal, characteristic, complemented
33#34281C212yesmaximal
34Q8×#117C211yesmaximal, characteristic
35C4×#541C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#541C2211yescharacteristic
39C2×#541C2212yes—
40C22×C4×Q8C2211yescharacteristic
41#2863C2212yes—
42#2863C2212yes—
43#2862C2211yescharacteristic
44#2859C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2851C2212yes—
49#2810C2214yes—
50#2802C2214yes—
51#2794C2214yes—
52#2794C2214yes—
53#2791C2214yes—
54#2791C2214yes—
55#2791C2214yes—
56#2787C2214yes—
57#2776C2214yes—
58#2770C2214yes—
59#2767C2214yes—
60#2767C2214yes—
61#2766C2214yes—
62#2758C2214yes—
63#2758C2214yes—
64#2747C2214yes—
65#2722C2214yes—
66#2722C2214yes—
67#2722C2214yes—
68#2719C2214yes—
69#2719C2214yes—
70#2719C2214yes—
71#2719C2214yes—
72#2719C2214yes—
73#2647C2212yes—
74#2645C2212yes—
75#2642C2212yes—
76#2625C2212yes—
77#2625C2212yes—
78#2625C2212yes—
79#2612C2214yes—
80#2612C2214yes—
81#2606C2214yes—
82#2606C2214yes—
83#2606C2214yes—
84#2590C2214yes—
85#2590C2214yes—
86#2590C2214yes—
87#2590C2214yes—
88#2590C2214yes—
89#2588C2214yes—
90#2588C2214yes—
91#2585C2214yes—
92#2585C2214yes—
93#2585C2214yes—
94#2584C2212yes—
95#2582C2212yes—
96#2582C2211yescharacteristic
97#2582C2211yescharacteristic
98#2581C2212yes—
99#2577C2214yes—
100#2577C2214yes—
101#2577C2214yes—
102#2570C2212yes—
103#2570C2212yes—
104#2570C2214yes—
105#2568C2211yescharacteristic
106#2568C2212yes—
107#2568C2211yescharacteristic
108#2565C2212yes—
109#2565C2212yes—
110#2565C2212yes—
111#2565C2212yes—
112#2552C2211yescharacteristic
113#2552C2212yes—
114#2552C2212yes—
115#2552C2211yescharacteristic
116#2552C2212yes—
117#2552C2214yes—
118#2546C2212yes—
119#2546C2211yescharacteristic
120#2546C2211yescharacteristic
121#2533C2214yes—
122#2533C2214yes—
123#2533C2214yes—
124#2533C2214yes—
125#2533C2214yes—
126#2533C2214yes—
127#2530C2214yes—
128#2530C2214yes—
129#2530C2214yes—
130#2528C2214yes—
131#2528C2214yes—
132#2528C2214yes—
133#2528C2214yes—
134#2528C2214yes—
135#2528C2214yes—
136#2524C2214yes—
137#2524C2214yes—
138#2524C2214yes—
139#2524C2214yes—
140#2520C2214yes—
141#2520C2214yes—
142#2514C2212yes—
143#2514C2212yes—
144#2514C2212yes—
145#2511C2212yes—
146#2511C2212yes—
147#2511C2212yes—
148#2511C2212yes—
149#2509C2212yes—
150#2509C2212yes—
151#2509C2212yes—
152#2509C2212yes—
153#2509C2214yes—
154#2508C2212yes—
155#2508C2212yes—
156#2507C2212yes—
157#2507C2214yes—
158#2506C2212yes—
159#2506C2214yes—
160#2496C2212yes—
161#2496C2214yes—
162#2496C2212yes—
163#2496C2214yes—
164#2495C2212yes—
165#2494C2212yes—
166#2489C2212yes—
167#2489C2212yes—
168#2473C2214yes—
169#2462C2214yes—
170#2453C2212yes—
171#2453C2212yes—
172#2453C2212yes—
173#2453C2212yes—
174#2453C2212yes—
175#2453C2212yes—
176#2453C2214yes—
177#2453C2212yes—
178#2453C2212yes—
179#2453C2212yes—
180#2446C2212yes—
181#2446C2212yes—
182#2446C2212yes—
183#2446C2212yes—
184#2446C2212yes—
185#2446C2212yes—
186#2446C2212yes—
187#2446C2212yes—
188#2442C2212yes—
189#2442C2214yes—
190#2434C2212yes—
191#2421C2212yes—
192#2421C2212yes—
193#2402C2214yes—
194#2402C2214yes—
195#2373C2214yes—
196#2373C2214yes—
197#2373C2214yes—
198#2373C2214yes—
199#2371C2214yes—
200#2371C2214yes—
201#2371C2214yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2214yes—
205#2370C2212yes—
206#2370C2214yes—
207#2370C2214yes—
208#2365C2212yes—
209#2365C2211yescharacteristic
210#2365C2211yescharacteristic
211#2365C2212yes—
212#2365C2212yes—
213#2365C2212yes—
214#2360C2212yes—
215#2356C2212yes—
216#2356C2212yes—
217#2356C2212yes—
218#2356C2212yes—
219#2355C2211yescharacteristic
220#2355C2211yescharacteristic
221#2355C2211yescharacteristic
222#2355C2211yescharacteristic
223#2355C2212yes—
224#2355C2212yes—
225#2351C2212yes—
226Q8×C4⋊C4C2211yescharacteristic
227Q8×C4⋊C4C2212yes—
228Q8×C4⋊C4C2212yes—
229Q8×C4⋊C4C2211yescharacteristic
230Q8×C4⋊C4C2211yescharacteristic
231Q8×C4⋊C4C2211yescharacteristic
232#2345C2211yescharacteristic
233#2345C2212yes—
234#2345C2211yescharacteristic
235#2345C2212yes—
236Q8×C22⋊C4C2211yescharacteristic
237Q8×C22⋊C4C2211yescharacteristic
238Q8×C22⋊C4C2212yes—
239#2336C2214yes—
240#2336C2212yes—
241#2336C2212yes—
242#2334C2212yes—
243#2334C2212yes—
244#2330C2212yes—
245#2330C2212yes—
246#2330C2214yes—
247#2330C2211yescharacteristic
248#2327C2212yes—
249#2327C2212yes—
250#2327C2211yescharacteristic
251#2323C2211yescharacteristic
252#2323C2211yescharacteristic
253#2323C2212yes—
254#2320C2211yescharacteristic
255#2320C2211yescharacteristic
256#2320C2212yes—
257#2314C2211yescharacteristic
258#2314C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×#125C2211yescharacteristic
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#126C2212yes—
272C4×#126C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277#2295C2211yescharacteristic
278#2295C2211yescharacteristic
279#2295C2212yes—
280#2295C2212yes—
281#2295C2212yes—
282#2295C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2295C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2295C2212yes—
289#2285C2212yes—
290#2285C2211yescharacteristic
291#2276C2212yes—
292#2276C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C23×Q8C2311yescharacteristic
300#557—28no—
301#557—28no—
302#541—28no—
303#541—216no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C4×Q8—28no—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2312yes—
363C22×C42C2312yes—
364C22×C42C2311yescharacteristic
365#401C2314yes—
366#401C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#395C2314yes—
436#395C2314yes—
437#391C2311yescharacteristic
438#391C2312yes—
439#391C2312yes—
440#391C2312yes—
441#391C2312yes—
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#391C2312yes—
445#391C2312yes—
446#391C2311yescharacteristic
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2311yescharacteristic
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2314yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2311yescharacteristic
461#391C2312yes—
462#391C2314yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#389C2311yescharacteristic
476#389C2312yes—
477#389C2312yes—
478#389C2311yescharacteristic
479#389C2311yescharacteristic
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2314yes—
490#389C2314yes—
491#389C2314yes—
492#389C2314yes—
493#389C2314yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2314yes—
498#389C2312yes—
499#389C2312yes—
500#389C2314yes—
501#389C2314yes—
502#389C2312yes—
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#387C2312yes—
558#387C2312yes—
559#387C2312yes—
560#387C2312yes—
561#387C2312yes—
562#387C2312yes—
563#387C2312yes—
564#387C2312yes—
565#387C2314yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2312yes—
577#387C2312yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#384C2311yescharacteristic
664#384C2312yes—
665#384C2312yes—
666#384C2312yes—
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2314yes—
671#384C2312yes—
672#384C2314yes—
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2312yes—
676#383C2312yes—
677#383C2312yes—
678#383C2314yes—
679#383C2314yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#382C2314yes—
692#382C2312yes—
693#382C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#380C2311yescharacteristic
700#380C2311yescharacteristic
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2314yes—
705#380C2311yescharacteristic
706#380C2312yes—
707#380C2311yescharacteristic
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798#376C2311yescharacteristic
799#376C2311yescharacteristic
800#376C2312yes—
801#376C2312yes—
802#376C2314yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C22×Q8—24no—
816C22×Q8—24no—
817C22×Q8—42no—
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C4⋊Q8—24no—
831C4⋊Q8—28no—
832C4⋊Q8—28no—
833C4⋊Q8—28no—
834C4⋊Q8—28no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837#126—28no—
838#126—28no—
839#126—216no—
840#126—216no—
841#125—24no—
842#125—28no—
843#125—28no—
844#125—28no—
845#125—216no—
846#125—216no—
847#125—28no—
848#125—216no—
849#125—216no—
850#125—28no—
851#125—44no—
852#125—44no—
853C22⋊Q8—24no—
854C22⋊Q8—28no—
855C22⋊Q8—44no—
856C22⋊Q8#4118yes—
857C4×Q8—24no—
858C4×Q8—24no—
859C4×Q8—28no—
860C4×Q8—28no—
861C4×Q8—24no—
862C4×Q8—24no—
863C4×Q8—24no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—28no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—24no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—28no—
876C4×Q8—24no—
877C4×Q8—44no—
878C4×Q8—42no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—42no—
882C4×Q8#4118yes—
883#117—24no—
884#117—28no—
885#117—24no—
886C2×C4⋊C4—24no—
887C2×C4⋊C4—28no—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C42—28no—
992C2×C42—24no—
993C2×C42C2411yescharacteristic
994C2×C42C2412yes—
995C2×C42C2411yescharacteristic
996C2×C42C2412yes—
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2414yes—
1002C2×C42C2414yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141C24C2511yescharacteristic
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—24no—
1159C2×Q8—42no—
1160C2×Q8—416no—
1161C2×Q8C2×#4114yes—
1162C2×Q8C2×#4114yes—
1163C2×Q82−1+414yes—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—24no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—42no—
1178C22×C4C2×#4114yes—
1179C22×C4C2511yescharacteristic
1180C22×C4C2512yes—
1181C22×C4C2511yescharacteristic
1182C22×C4C2512yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2511yescharacteristic
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2514yes—
1190C22×C4C2514yes—
1191C22×C4C2512yes—
1192C22×C4C2514yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—22no—
1217C4⋊C4—24no—
1218C4⋊C4—22no—
1219C4⋊C4—24no—
1220C4⋊C4—22no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—28no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—28no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4C2×#4114yes—
1301C4⋊C4C2×#4118yes—
1302C4⋊C4C2×#4114yes—
1303C4⋊C4C2×#4118yes—
1304C22⋊C4—22no—
1305C22⋊C4—24no—
1306C22⋊C4—22no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—28no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—44no—
1315C22⋊C4C2×#4118yes—
1316C42—24no—
1317C42—24no—
1318C42—22no—
1319C42—22no—
1320C42—24no—
1321C42—22no—
1322C42—22no—
1323C42—24no—
1324C42—22no—
1325C42—24no—
1326C42—28no—
1327C42—28no—
1328C42—24no—
1329C42—24no—
1330C42—24no—
1331C42—28no—
1332C42—24no—
1333C42—28no—
1334C42—22no—
1335C42—24no—
1336C42—22no—
1337C42—24no—
1338C42—24no—
1339C42—22no—
1340C42—28no—
1341C42—24no—
1342C42—24no—
1343C42—22no—
1344C42—24no—
1345C42—22no—
1346C42—42no—
1347C42—41no—
1348C42—41no—
1349C42—42no—
1350C42—42no—
1351C42—42no—
1352C42—44no—
1353C42—41no—
1354C42—41no—
1355C42—44no—
1356C42—42no—
1357C42—42no—
1358C42—42no—
1359C42—42no—
1360C42—42no—
1361C42—44no—
1362C42—44no—
1363C42—42no—
1364C42—44no—
1365C42C2×#4118yes—
1366C42C2×#4114yes—
1367C422−1+414yes—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23C22×#4112yes—
1375C23C2611yescharacteristic
1376Q8—28no—
1377Q8—28no—
1378Q8—28no—
1379Q8—48no—
1380Q8—44no—
1381Q8—48no—
1382Q8—48no—
1383C2×C4—21no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—21no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—21no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—22no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—28no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—22no—
1419C2×C4—24no—
1420C2×C4—24no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—48no—
1472C2×C4—44no—
1473C2×C4—82no—
1474C2×C4—84no—
1475C2×C4C22×#4114yes—
1476C2×C4C22×#4114yes—
1477C2×C4C22×#4114yes—
1478C2×C4C22×#4114yes—
1479C2×C4C22×#4112yes—
1480C2×C4C22×#4112yes—
1481C2×C4C22×#4112yes—
1482C2×C4C22×#4112yes—
1483C2×C4C22×#4112yes—
1484C2×C4C2×2−1+412yes—
1485C2×C4C2×2−1+412yes—
1486C2×C4C2×2−1+414yes—
1487C2×C4C2×2−1+412yes—
1488C2×C4C2×2−1+412yes—
1489C2×C4#58512yes—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22C23×#4111yescharacteristic
1498C22C23×#4111yescharacteristic
1499C22C22×2−1+411yescharacteristic
1500C22C22×2−1+411yescharacteristic
1501C22C2×#58511yescharacteristic
1502C222−1+611yescharacteristic
1503C222−1+611yescharacteristic
1504C4—24no—
1505C4—24no—
1506C4—24no—
1507C4—22no—
1508C4—24no—
1509C4—22no—
1510C4—22no—
1511C4—22no—
1512C4—24no—
1513C4—41no—
1514C4—42no—
1515C4—41no—
1516C4—42no—
1517C4—41no—
1518C4—42no—
1519C4—41no—
1520C4—42no—
1521C4—44no—
1522C4—42no—
1523C4—41no—
1524C4—44no—
1525C4—42no—
1526C4—42no—
1527C4—42no—
1528C4—41no—
1529C4—41no—
1530C4—42no—
1531C4—41no—
1532C4—42no—
1533C4—44no—
1534C4—42no—
1535C4—44no—
1536C4#348214yes—
1537C4#349514yes—
1538C2—42no—
1539C2C2×#348211yescharacteristic
1540C2C2×#349511yescharacteristic
1541C2#6286111yescharacteristic
1542C2#6294711yescharacteristic
1543C2#6295611yescharacteristic
1544C2#6300111yescharacteristic
1545C2#6300711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC24C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59963C2semidirect
2. #59766C2semidirect
7. #59467C2semidirect
8. #59447C2semidirect
10. #44712C2semidirect
12. #43850C2semidirect
17. #39183C2semidirect
18. #39170C2semidirect
19. #38243C2semidirect
20. #38227C2semidirect
23. #36313C2semidirect
24. #36285C2semidirect
25. #35656C2semidirect
26. #35642C2semidirect
29. #34951C2semidirect
30. #34951C2semidirect
31. #34337C2semidirect
32. #34328C2semidirect

Maximal subgroups

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

subgroupindex
#599632
#597662
#597182
#595112
#594812
#594672
#594472
#447322
#447122
#438842
#438502
#394782
#394752
#393532
#391832
#391702
#382432
#382272
#365772
#365452
#363132
#362852
#356562
#356422
#353232
#352912
#349512
#343372
#343282
#342812
Q8×#1172
C4×#5412