Finite Group Databasebeta

← #7987485

Subgroups — #7987485

Order 512.

4231 conjugacy classes of subgroups.

The subgroup lattice has 1543 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59756C212yesmaximal, complemented
2#59672C211yesmaximal, characteristic, complemented
3#59671C212yesmaximal, complemented
4#59668C211yesmaximal, characteristic, complemented
5#59665C211yesmaximal, characteristic, complemented
6#51793C214yesmaximal, complemented
7#51792C214yesmaximal, complemented
8#45496C214yesmaximal, complemented
9#45427C212yesmaximal, complemented
10#45415C212yesmaximal, complemented
11#45273C212yesmaximal, complemented
12#45202C212yesmaximal, complemented
13#42498C212yesmaximal
14#42493C212yesmaximal
15#42491C212yesmaximal, complemented
16#42489C212yesmaximal, complemented
17#39689C212yesmaximal, complemented
18#39682C212yesmaximal, complemented
19#39626C211yesmaximal, characteristic, complemented
20#39603C214yesmaximal, complemented
21#39498C211yesmaximal, characteristic
22#39183C211yesmaximal, characteristic, complemented
23#38966C211yesmaximal, characteristic
24#36574C211yesmaximal, characteristic, complemented
25#36447C211yesmaximal, characteristic, complemented
26#36407C211yesmaximal, characteristic
27#36193C212yesmaximal, complemented
28#36192C212yesmaximal
29#35175C212yesmaximal
30#35159C212yesmaximal, complemented
31#34920C211yesmaximal, characteristic, complemented
32#34893C211yesmaximal, characteristic
33#34484C211yesmaximal, characteristic
34#34484C211yesmaximal, characteristic
35C4×#554C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37#2859C2212yes—
38#2859C2211yescharacteristic
39#2859C2211yescharacteristic
40#2859C2211yescharacteristic
41#2857C2212yes—
42#2855C2214yes—
43#2851C2214yes—
44#2851C2214yes—
45#2841C2214yes—
46#2841C2214yes—
47#2809C2214yes—
48#2807C2214yes—
49#2807C2214yes—
50#2806C2214yes—
51#2806C2214yes—
52#2805C2214yes—
53#2802C2214yes—
54#2802C2214yes—
55#2802C2214yes—
56#2802C2214yes—
57#2799C2214yes—
58#2792C2214yes—
59#2792C2214yes—
60#2792C2214yes—
61#2792C2214yes—
62#2792C2214yes—
63#2791C2214yes—
64#2791C2214yes—
65#2790C2214yes—
66#2790C2214yes—
67#2790C2214yes—
68#2788C2214yes—
69#2788C2214yes—
70#2774C2214yes—
71#2768C2214yes—
72#2768C2214yes—
73#2763C2214yes—
74#2755C2214yes—
75#2755C2214yes—
76#2729C2214yes—
77#2726C2214yes—
78#2720C2214yes—
79#2713C2214yes—
80#2667C2214yes—
81#2665C2214yes—
82#2660C2212yes—
83#2647C2212yes—
84#2646C2214yes—
85#2646C2214yes—
86#2629C2214yes—
87#2629C2212yes—
88#2628C2212yes—
89#2628C2214yes—
90#2590C2214yes—
91#2590C2214yes—
92#2590C2212yes—
93#2589C2212yes—
94#2589C2214yes—
95#2588C2214yes—
96#2588C2212yes—
97#2588C2214yes—
98#2587C2212yes—
99#2587C2214yes—
100#2584C2212yes—
101#2584C2212yes—
102#2584C2212yes—
103#2584C2211yescharacteristic
104#2584C2212yes—
105#2584C2211yescharacteristic
106#2584C2212yes—
107#2582C2212yes—
108#2581C2211yescharacteristic
109#2581C2212yes—
110#2580C2212yes—
111#2580C2211yescharacteristic
112#2574C2214yes—
113#2574C2214yes—
114#2571C2211yescharacteristic
115#2571C2212yes—
116#2570C2212yes—
117#2567C2212yes—
118#2566C2211yescharacteristic
119#2566C2212yes—
120#2565C2212yes—
121#2565C2214yes—
122#2565C2211yescharacteristic
123#2556C2214yes—
124#2556C2214yes—
125#2552C2212yes—
126#2552C2212yes—
127#2552C2211yescharacteristic
128#2552C2211yescharacteristic
129#2552C2212yes—
130#2552C2212yes—
131#2552C2211yescharacteristic
132#2552C2212yes—
133#2552C2211yescharacteristic
134#2552C2212yes—
135#2552C2212yes—
136#2551C2212yes—
137#2551C2211yescharacteristic
138#2550C2214yes—
139#2550C2212yes—
140#2550C2212yes—
141#2550C2212yes—
142#2550C2211yescharacteristic
143#2550C2211yescharacteristic
144#2546C2212yes—
145#2522C2214yes—
146#2522C2212yes—
147#2522C2214yes—
148#2522C2214yes—
149#2522C2214yes—
150#2520C2214yes—
151#2520C2214yes—
152#2520C2212yes—
153#2511C2214yes—
154#2511C2214yes—
155#2509C2212yes—
156#2509C2212yes—
157#2509C2212yes—
158#2509C2212yes—
159#2509C2211yescharacteristic
160#2509C2212yes—
161#2509C2214yes—
162#2509C2212yes—
163#2508C2212yes—
164#2508C2214yes—
165#2508C2212yes—
166#2508C2212yes—
167#2508C2212yes—
168#2508C2212yes—
169#2508C2212yes—
170#2508C2214yes—
171#2508C2211yescharacteristic
172#2508C2214yes—
173#2507C2211yescharacteristic
174#2507C2212yes—
175#2507C2212yes—
176#2507C2214yes—
177#2507C2214yes—
178#2507C2214yes—
179#2507C2212yes—
180#2507C2214yes—
181#2506C2212yes—
182#2506C2212yes—
183#2506C2212yes—
184#2506C2214yes—
185#2506C2212yes—
186#2506C2214yes—
187#2506C2211yescharacteristic
188#2506C2212yes—
189#2465C2212yes—
190#2462C2212yes—
191#2454C2212yes—
192#2454C2212yes—
193#2454C2212yes—
194#2454C2211yescharacteristic
195#2453C2212yes—
196#2453C2214yes—
197#2453C2212yes—
198#2453C2212yes—
199#2453C2211yescharacteristic
200#2452C2212yes—
201#2452C2211yescharacteristic
202#2451C2211yescharacteristic
203#2451C2212yes—
204#2451C2214yes—
205#2442C2212yes—
206#2442C2212yes—
207#2441C2212yes—
208#2441C2212yes—
209#2441C2212yes—
210#2441C2214yes—
211#2441C2214yes—
212#2439C2212yes—
213#2438C2214yes—
214#2438C2214yes—
215#2402C2212yes—
216#2399C2212yes—
217#2396C2212yes—
218#2396C2212yes—
219#2378C2214yes—
220#2378C2214yes—
221#2370C2212yes—
222#2370C2212yes—
223#2370C2212yes—
224#2370C2212yes—
225#2370C2212yes—
226#2370C2214yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2212yes—
230#2370C2212yes—
231#2370C2212yes—
232#2369C2212yes—
233#2369C2211yescharacteristic
234#2369C2211yescharacteristic
235#2369C2211yescharacteristic
236#2369C2212yes—
237#2368C2214yes—
238#2362C2212yes—
239#2362C2212yes—
240#2360C2212yes—
241#2355C2211yescharacteristic
242#2355C2212yes—
243#2354C2212yes—
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic
246#2354C2212yes—
247#2351C2212yes—
248#2351C2212yes—
249Q8×C4⋊C4C2212yes—
250Q8×C4⋊C4C2211yescharacteristic
251Q8×C4⋊C4C2211yescharacteristic
252#2349C2212yes—
253D4×C4⋊C4C2211yescharacteristic
254#2345C2212yes—
255#2344C2212yes—
256#2344C2212yes—
257#2331C2212yes—
258#2330C2212yes—
259#2330C2212yes—
260#2330C2212yes—
261#2323C2212yes—
262#2323C2212yes—
263#2323C2214yes—
264#2323C2214yes—
265#2319C2212yes—
266#2319C2212yes—
267#2317C2212yes—
268#2317C2212yes—
269#2316C2212yes—
270#2316C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#125C2212yes—
277C4×#125C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×#125C2212yes—
280C4×#125C2212yes—
281C4×#125C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2214yes—
286#2296C2212yes—
287#2296C2212yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2295C2211yescharacteristic
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic
293#2285C2214yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299#554Q8116yescomplemented
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2314yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×#125C2311yescharacteristic
307C2×#125C2312yes—
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2311yescharacteristic
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2312yes—
347C2×#117C2312yes—
348C2×#117C2314yes—
349C2×#117C2314yes—
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2312yes—
352C22×C42C2314yes—
353C22×C42C2312yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2312yes—
360#400C2314yes—
361#400C2312yes—
362#400C2314yes—
363#400C2312yes—
364#400C2314yes—
365#400C2314yes—
366#400C2312yes—
367#400C2312yes—
368#400C2314yes—
369#400C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#399C2314yes—
378#399C2312yes—
379#399C2314yes—
380#399C2312yes—
381#399C2314yes—
382#399C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2312yes—
387#398C2312yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2312yes—
399#398C2314yes—
400#398C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2314yes—
410#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#396C2314yes—
428#396C2312yes—
429#396C2314yes—
430#396C2312yes—
431#396C2314yes—
432#396C2314yes—
433#396C2312yes—
434#396C2312yes—
435#396C2314yes—
436#396C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2312yes—
443#395C2312yes—
444#395C2314yes—
445#395C2314yes—
446#395C2312yes—
447#395C2314yes—
448#395C2312yes—
449#395C2312yes—
450#395C2312yes—
451#395C2314yes—
452#393C2314yes—
453#393C2314yes—
454#393C2312yes—
455#393C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2311yescharacteristic
462#391C2314yes—
463#391C2314yes—
464#391C2311yescharacteristic
465#391C2312yes—
466#391C2314yes—
467#391C2312yes—
468#391C2314yes—
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#390C2311yescharacteristic
481#390C2312yes—
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2312yes—
485#390C2311yescharacteristic
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2312yes—
491#389C2312yes—
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2312yes—
691#384C2314yes—
692#384C2312yes—
693#384C2314yes—
694#384C2312yes—
695#384C2312yes—
696#384C2314yes—
697#384C2312yes—
698#384C2312yes—
699#384C2314yes—
700#384C2314yes—
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2312yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#382C2312yes—
715#382C2314yes—
716#382C2314yes—
717#381C2314yes—
718#381C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2314yes—
807C43C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C22×Q8C2411yescharacteristic
812C22×Q8C2412yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×Q8C2412yes—
817C22×D4C2411yescharacteristic
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2414yes—
821C23×C4C2412yes—
822C23×C4C2414yes—
823C4⋊Q8—24no—
824C4⋊Q8—44no—
825C4⋊Q8—42no—
826C4⋊Q8—44no—
827C4⋊Q8—84no—
828C4⋊Q8C2×Q818yes—
829#125—24no—
830#125—28no—
831#125—44no—
832#125—48no—
833#125—44no—
834#125—42no—
835#125—44no—
836#125—42no—
837#125—42no—
838#125—44no—
839#125—44no—
840#125—44no—
841#125—84no—
842#125—84no—
843#125—82no—
844#125C2×Q8116yes—
845C22⋊Q8—44no—
846C22⋊Q8—84no—
847C22⋊Q8C2×Q8132yes—
848C22⋊Q8C2×Q8116yes—
849C4×Q8—44no—
850C4×Q8—44no—
851C4×Q8—42no—
852C4×Q8—42no—
853C4×Q8—44no—
854C4×Q8—42no—
855C4×Q8—42no—
856C4×Q8—44no—
857C4×Q8—44no—
858C4×Q8—42no—
859C4×Q8—82no—
860C4×Q8—82no—
861C4×Q8C2×Q818yes—
862C4×D4—24no—
863C4×D4—44no—
864C4×D4—42no—
865C4×D4C2×Q8116yes—
866C4×D4C2×Q818yes—
867#117—44no—
868#117—44no—
869#117—44no—
870#117—44no—
871#117—84no—
872#117—84no—
873C2×C4⋊C4—44no—
874C2×C4⋊C4C2×Q8116yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C42—44no—
998C2×C42—48no—
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2414yes—
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2411yescharacteristic
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2412yes—
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2411yescharacteristic
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128C24C2512yes—
1129C2×Q8—24no—
1130C2×Q8—22no—
1131C2×Q8—22no—
1132C2×Q8—42no—
1133C2×Q8—41no—
1134C2×Q8—41no—
1135C2×Q8—41no—
1136C2×Q8—42no—
1137C2×Q8—42no—
1138C2×Q8—42no—
1139C2×Q8—42no—
1140C2×Q8—42no—
1141C2×Q8—42no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×Q8—44no—
1145C2×Q8C22×Q814yes—
1146C2×Q8C22×Q818yes—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4C22×Q814yes—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—42no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—42no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4C22×Q818yes—
1164C22×C4C22×Q8116yes—
1165C22×C4C2511yescharacteristic
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2511yescharacteristic
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2511yescharacteristic
1173C22×C4C2511yescharacteristic
1174C22×C4C2511yescharacteristic
1175C22×C4C2511yescharacteristic
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2514yes—
1179C22×C4C2511yescharacteristic
1180C22×C4C2511yescharacteristic
1181C22×C4C2511yescharacteristic
1182C22×C4C2511yescharacteristic
1183C22×C4C2514yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2514yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2514yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C4⋊C4—24no—
1200C4⋊C4—28no—
1201C4⋊C4—24no—
1202C4⋊C4—28no—
1203C4⋊C4—22no—
1204C4⋊C4—24no—
1205C4⋊C4—24no—
1206C4⋊C4—22no—
1207C4⋊C4—22no—
1208C4⋊C4—24no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—44no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—42no—
1235C4⋊C4—44no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—42no—
1245C4⋊C4—41no—
1246C4⋊C4—42no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—42no—
1250C4⋊C4—41no—
1251C4⋊C4—42no—
1252C4⋊C4—41no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—44no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4C22×Q814yes—
1297C4⋊C4C22×Q8116yes—
1298C4⋊C4C22×Q818yes—
1299C4⋊C4C22×Q814yes—
1300C4⋊C4C22×Q818yes—
1301C4⋊C4C22×Q818yes—
1302C4⋊C4C22×Q8116yes—
1303C4⋊C42−1+414yes—
1304C22⋊C4—24no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4C22×Q8116yes—
1320C22⋊C4C22×Q818yes—
1321C42—22no—
1322C42—22no—
1323C42—24no—
1324C42—22no—
1325C42—22no—
1326C42—24no—
1327C42—28no—
1328C42—24no—
1329C42—22no—
1330C42—22no—
1331C42—24no—
1332C42—24no—
1333C42—22no—
1334C42—24no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—24no—
1342C42—42no—
1343C42—44no—
1344C42—42no—
1345C42—44no—
1346C42—44no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C42—44no—
1351C42—44no—
1352C42—42no—
1353C42—41no—
1354C42—41no—
1355C42—44no—
1356C42—44no—
1357C42—42no—
1358C42—41no—
1359C42—41no—
1360C42—41no—
1361C42—42no—
1362C42C22×Q818yes—
1363C42C22×Q814yes—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23C23×Q814yes—
1371C23C2611yescharacteristic
1372Q8—28no—
1373Q8—48no—
1374Q8—44no—
1375Q8—84no—
1376Q8—84no—
1377Q8—164no—
1378D4—28no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—22no—
1382C2×C4—21no—
1383C2×C4—24no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—24no—
1391C2×C4—21no—
1392C2×C4—22no—
1393C2×C4—216no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—22no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—21no—
1407C2×C4—22no—
1408C2×C4—21no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—416no—
1470C2×C4—48no—
1471C2×C4—88no—
1472C2×C4—84no—
1473C2×C4C23×Q814yes—
1474C2×C4C23×Q812yes—
1475C2×C4C23×Q814yes—
1476C2×C4C23×Q814yes—
1477C2×C4C23×Q818yes—
1478C2×C4C23×Q812yes—
1479C2×C4C23×Q812yes—
1480C2×C4C2×2−1+414yes—
1481C2×C4C2×2−1+412yes—
1482C2×C4#58512yes—
1483C2×C4#58512yes—
1484C2×C4#58512yes—
1485C2×C4#58512yes—
1486C22—24no—
1487C22—24no—
1488C22—24no—
1489C22—42no—
1490C22—42no—
1491C22—42no—
1492C22—42no—
1493C22C24×Q811yescharacteristic
1494C22C22×2−1+411yescharacteristic
1495C22C2×#58511yescharacteristic
1496C22C2×#58511yescharacteristic
1497C22C2×#58511yescharacteristic
1498C22C2×#58511yescharacteristic
1499C22H(7,𝔽2)11yescharacteristic
1500C4—24no—
1501C4—28no—
1502C4—22no—
1503C4—22no—
1504C4—24no—
1505C4—24no—
1506C4—24no—
1507C4—42no—
1508C4—42no—
1509C4—44no—
1510C4—42no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—42no—
1516C4—42no—
1517C4—41no—
1518C4—42no—
1519C4—41no—
1520C4—41no—
1521C4—42no—
1522C4—42no—
1523C4—41no—
1524C4—42no—
1525C4—44no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—42no—
1530C4—42no—
1531C4—44no—
1532C4#350214yes—
1533C4#350414yes—
1534C2—44no—
1535C2#6276211yescharacteristic
1536C2C2×#350211yescharacteristic
1537C2C2×#350411yescharacteristic
1538C2#6293711yescharacteristic
1539C2#6295211yescharacteristic
1540C2#6298911yescharacteristic
1541C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59756C2semidirect
2. #59672C2semidirect
3. #59671C2semidirect
4. #59668C2semidirect
5. #59665C2semidirect
6. #51793C2semidirect
7. #51792C2semidirect
8. #45496C2semidirect
9. #45427C2semidirect
10. #45415C2semidirect
11. #45273C2semidirect
12. #45202C2semidirect
15. #42491C2semidirect
16. #42489C2semidirect
17. #39689C2semidirect
18. #39682C2semidirect
19. #39626C2semidirect
20. #39603C2semidirect
22. #39183C2semidirect
24. #36574C2semidirect
25. #36447C2semidirect
27. #36193C2semidirect
30. #35159C2semidirect
31. #34920C2semidirect
299. #554Q8semidirect

Maximal subgroups

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

subgroupindex
#597562
#596722
#596712
#596682
#596652
#517932
#517922
#454962
#454272
#454152
#452732
#452022
#424982
#424932
#424912
#424892
#396892
#396822
#396262
#396032
#394982
#391832
#389662
#365742
#364472
#364072
#361932
#361922
#351752
#351592
#349202
#348932
#344842
C4×#5542