Finite Group Databasebeta

← #7987513

Subgroups — #7987513

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#59920C212yesmaximal, complemented
2#59872C212yesmaximal, complemented
3#59672C211yesmaximal, characteristic, complemented
4#59665C211yesmaximal, characteristic, complemented
5#59665C211yesmaximal, characteristic, complemented
6#51793C214yesmaximal, complemented
7#51788C214yesmaximal, complemented
8#45797C214yesmaximal, complemented
9#45413C212yesmaximal, complemented
10#45223C212yesmaximal, complemented
11#45202C212yesmaximal, complemented
12#45121C212yesmaximal, complemented
13#42498C212yesmaximal
14#42498C212yesmaximal
15#42492C212yesmaximal, complemented
16#42489C212yesmaximal, complemented
17#39754C211yesmaximal, characteristic, complemented
18#39753C211yesmaximal, characteristic, complemented
19#39693C214yesmaximal, complemented
20#39693C212yesmaximal, complemented
21#39622C212yesmaximal, complemented
22#39497C211yesmaximal, characteristic
23#38966C211yesmaximal, characteristic
24#36563C211yesmaximal, characteristic, complemented
25Q8×#125C211yesmaximal, characteristic, complemented
26#36425C212yesmaximal, complemented
27#36416C211yesmaximal, characteristic
28#36416C212yesmaximal
29#35175C212yesmaximal
30#35159C212yesmaximal, complemented
31#34951C211yesmaximal, characteristic, complemented
32#34893C211yesmaximal, characteristic
33#34484C211yesmaximal, characteristic
34#34484C211yesmaximal, characteristic
35C4×#554C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37#2868C2211yescharacteristic
38#2859C2211yescharacteristic
39#2859C2212yes—
40#2859C2211yescharacteristic
41#2855C2214yes—
42#2851C2212yes—
43#2851C2214yes—
44#2851C2214yes—
45#2841C2214yes—
46#2841C2214yes—
47#2809C2214yes—
48#2806C2214yes—
49#2806C2214yes—
50#2802C2214yes—
51#2802C2214yes—
52#2802C2214yes—
53#2799C2214yes—
54#2799C2214yes—
55#2792C2214yes—
56#2792C2214yes—
57#2791C2214yes—
58#2791C2214yes—
59#2791C2214yes—
60#2791C2214yes—
61#2791C2214yes—
62#2790C2214yes—
63#2790C2214yes—
64#2790C2214yes—
65#2790C2214yes—
66#2790C2214yes—
67#2790C2214yes—
68#2788C2214yes—
69#2788C2214yes—
70#2774C2214yes—
71#2774C2214yes—
72#2768C2214yes—
73#2755C2214yes—
74#2729C2214yes—
75#2726C2214yes—
76#2720C2214yes—
77#2720C2214yes—
78#2713C2214yes—
79#2713C2214yes—
80#2667C2214yes—
81#2665C2214yes—
82#2660C2212yes—
83#2660C2212yes—
84#2646C2214yes—
85#2646C2214yes—
86#2629C2214yes—
87#2629C2214yes—
88#2629C2212yes—
89#2629C2212yes—
90#2590C2214yes—
91#2589C2214yes—
92#2589C2214yes—
93#2589C2214yes—
94#2589C2214yes—
95#2589C2212yes—
96#2588C2214yes—
97#2588C2214yes—
98#2587C2212yes—
99#2587C2214yes—
100#2587C2214yes—
101#2587C2214yes—
102#2587C2214yes—
103#2586C2214yes—
104#2586C2214yes—
105#2585C2212yes—
106#2585C2214yes—
107#2585C2214yes—
108#2585C2214yes—
109#2585C2212yes—
110#2584C2212yes—
111#2584C2212yes—
112#2584C2212yes—
113#2584C2211yescharacteristic
114#2582C2212yes—
115#2582C2211yescharacteristic
116#2581C2212yes—
117#2580C2211yescharacteristic
118#2580C2212yes—
119#2574C2214yes—
120#2571C2211yescharacteristic
121#2571C2211yescharacteristic
122#2571C2212yes—
123#2570C2212yes—
124#2570C2212yes—
125#2568C2211yescharacteristic
126#2567C2212yes—
127#2566C2212yes—
128#2566C2212yes—
129#2566C2212yes—
130#2566C2211yescharacteristic
131#2565C2214yes—
132#2565C2212yes—
133#2556C2214yes—
134#2552C2212yes—
135#2552C2212yes—
136#2552C2212yes—
137#2552C2212yes—
138#2552C2212yes—
139#2552C2214yes—
140#2552C2211yescharacteristic
141#2552C2211yescharacteristic
142#2552C2211yescharacteristic
143#2552C2211yescharacteristic
144#2552C2212yes—
145#2552C2212yes—
146#2552C2211yescharacteristic
147#2550C2212yes—
148#2550C2212yes—
149#2550C2212yes—
150#2550C2212yes—
151#2550C2212yes—
152#2550C2211yescharacteristic
153#2550C2212yes—
154#2546C2211yescharacteristic
155#2522C2212yes—
156#2520C2214yes—
157#2511C2214yes—
158#2511C2212yes—
159#2509C2212yes—
160#2509C2212yes—
161#2509C2212yes—
162#2509C2214yes—
163#2509C2212yes—
164#2509C2211yescharacteristic
165#2509C2211yescharacteristic
166#2509C2211yescharacteristic
167#2509C2214yes—
168#2508C2212yes—
169#2508C2212yes—
170#2508C2212yes—
171#2508C2212yes—
172#2508C2214yes—
173#2507C2214yes—
174#2507C2214yes—
175#2507C2212yes—
176#2507C2214yes—
177#2507C2212yes—
178#2507C2212yes—
179#2507C2212yes—
180#2507C2214yes—
181#2507C2211yescharacteristic
182#2507C2212yes—
183#2506C2212yes—
184#2506C2212yes—
185#2506C2212yes—
186#2506C2212yes—
187#2506C2212yes—
188#2506C2212yes—
189#2506C2212yes—
190#2506C2214yes—
191#2465C2212yes—
192#2454C2211yescharacteristic
193#2454C2212yes—
194#2453C2211yescharacteristic
195#2453C2214yes—
196#2453C2214yes—
197#2453C2212yes—
198#2453C2211yescharacteristic
199#2452C2211yescharacteristic
200#2452C2212yes—
201#2451C2212yes—
202#2451C2212yes—
203#2451C2212yes—
204#2446C2212yes—
205#2442C2212yes—
206#2441C2212yes—
207#2441C2214yes—
208#2441C2212yes—
209#2440C2212yes—
210#2439C2212yes—
211#2439C2212yes—
212#2439C2214yes—
213#2438C2214yes—
214#2438C2214yes—
215#2402C2212yes—
216#2402C2212yes—
217#2396C2212yes—
218#2396C2212yes—
219#2378C2214yes—
220#2378C2214yes—
221#2370C2214yes—
222#2370C2212yes—
223#2370C2212yes—
224#2370C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2212yes—
230#2369C2212yes—
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2369C2211yescharacteristic
234#2368C2214yes—
235#2362C2212yes—
236#2362C2212yes—
237#2360C2212yes—
238#2355C2212yes—
239#2355C2212yes—
240#2355C2212yes—
241#2355C2212yes—
242#2355C2211yescharacteristic
243#2354C2212yes—
244#2354C2212yes—
245#2354C2211yescharacteristic
246#2354C2211yescharacteristic
247Q8×C4⋊C4C2212yes—
248Q8×C4⋊C4C2212yes—
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#2323C2214yes—
263#2323C2214yes—
264#2323C2212yes—
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×C4⋊Q8C2212yes—
277C4×#125C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#125C2212yes—
282C4×#125C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2214yes—
285C4×C22⋊Q8C2212yes—
286#2296C2214yes—
287#2296C2212yes—
288#2296C2212yes—
289#2295C2211yescharacteristic
290#2295C2211yescharacteristic
291#2295C2212yes—
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
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⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×#125C2311yescharacteristic
308C2×#125C2311yescharacteristic
309C2×#125C2311yescharacteristic
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
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×C42C2312yes—
353C22×C42C2314yes—
354#400C2312yes—
355#400C2312yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2312yes—
367#400C2314yes—
368#400C2312yes—
369#400C2314yes—
370#400C2312yes—
371#400C2314yes—
372#400C2312yes—
373#400C2312yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2312yes—
379#399C2312yes—
380#399C2314yes—
381#399C2312yes—
382#399C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2312yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2312yes—
397#398C2314yes—
398#398C2312yes—
399#398C2312yes—
400#398C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2312yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#396C2312yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2312yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2312yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2312yes—
452#393C2314yes—
453#393C2312yes—
454#393C2312yes—
455#393C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2311yescharacteristic
464#391C2314yes—
465#391C2312yes—
466#391C2314yes—
467#391C2314yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#391C2314yes—
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2312yes—
691#384C2312yes—
692#384C2314yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2314yes—
697#384C2312yes—
698#384C2312yes—
699#384C2314yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2314yes—
704#384C2314yes—
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2314yes—
719#381C2314yes—
720#381C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
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×Q8C2411yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×Q8C2412yes—
817C22×D4C2411yescharacteristic
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2414yes—
821C23×C4C2412yes—
822C23×C4C2414yes—
823C4⋊Q8—42no—
824C4⋊Q8—44no—
825C4⋊Q8—42no—
826C4⋊Q8—44no—
827C4⋊Q8—44no—
828C4⋊Q8—82no—
829C4⋊Q8C2×Q818yes—
830#125—24no—
831#125—44no—
832#125—42no—
833#125—44no—
834#125—48no—
835#125—44no—
836#125—44no—
837#125—44no—
838#125—42no—
839#125—44no—
840#125—42no—
841#125—84no—
842#125—84no—
843#125—84no—
844#125C2×Q8116yes—
845C22⋊Q8—44no—
846C22⋊Q8—84no—
847C22⋊Q8C2×Q8132yes—
848C22⋊Q8C2×Q8116yes—
849C4×Q8—24no—
850C4×Q8—28no—
851C4×Q8—44no—
852C4×Q8—42no—
853C4×Q8—44no—
854C4×Q8—42no—
855C4×Q8—44no—
856C4×Q8—44no—
857C4×Q8—42no—
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—48no—
870#117—44no—
871#117—44no—
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⋊C4C2412yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
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—84no—
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2414yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
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#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2411yescharacteristic
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128C24C2512yes—
1129C2×Q8—22no—
1130C2×Q8—24no—
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—22no—
1134C2×Q8—42no—
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—42no—
1154C22×C4—42no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—42no—
1158C22×C4—44no—
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×C4C2511yescharacteristic
1171C22×C4C2512yes—
1172C22×C4C2511yescharacteristic
1173C22×C4C2512yes—
1174C22×C4C2511yescharacteristic
1175C22×C4C2512yes—
1176C22×C4C2511yescharacteristic
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2514yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2512yes—
1184C22×C4C2514yes—
1185C22×C4C2514yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2514yes—
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—24no—
1203C4⋊C4—22no—
1204C4⋊C4—24no—
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—24no—
1212C4⋊C4—22no—
1213C4⋊C4—24no—
1214C4⋊C4—22no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—22no—
1218C4⋊C4—24no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—44no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—44no—
1235C4⋊C4—42no—
1236C4⋊C4—44no—
1237C4⋊C4—42no—
1238C4⋊C4—41no—
1239C4⋊C4—44no—
1240C4⋊C4—41no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—42no—
1245C4⋊C4—41no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4C22×Q814yes—
1298C4⋊C4C22×Q8116yes—
1299C4⋊C4C22×Q818yes—
1300C4⋊C4C22×Q814yes—
1301C4⋊C4C22×Q818yes—
1302C4⋊C4C22×Q818yes—
1303C4⋊C4C22×Q8116yes—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—42no—
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—24no—
1325C42—22no—
1326C42—24no—
1327C42—22no—
1328C42—22no—
1329C42—24no—
1330C42—28no—
1331C42—24no—
1332C42—24no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—42no—
1341C42—42no—
1342C42—42no—
1343C42—44no—
1344C42—44no—
1345C42—44no—
1346C42—44no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C42—44no—
1351C42—42no—
1352C42—41no—
1353C42—41no—
1354C42—42no—
1355C42—44no—
1356C42—44no—
1357C42—41no—
1358C42—41no—
1359C42—42no—
1360C42—41no—
1361C42C22×Q818yes—
1362C42C22×Q814yes—
1363C422−1+414yes—
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—21no—
1382C2×C4—21no—
1383C2×C4—24no—
1384C2×C4—21no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—21no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—21no—
1392C2×C4—24no—
1393C2×C4—22no—
1394C2×C4—21no—
1395C2×C4—216no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—24no—
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—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—21no—
1462C2×C4—24no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—416no—
1469C2×C4—48no—
1470C2×C4—84no—
1471C2×C4—88no—
1472C2×C4C23×Q814yes—
1473C2×C4C23×Q812yes—
1474C2×C4C23×Q814yes—
1475C2×C4C23×Q814yes—
1476C2×C4C23×Q818yes—
1477C2×C4C23×Q812yes—
1478C2×C4C23×Q812yes—
1479C2×C4C2×2−1+412yes—
1480C2×C4C2×2−1+412yes—
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—22no—
1505C4—24no—
1506C4—24no—
1507C4—22no—
1508C4—42no—
1509C4—41no—
1510C4—42no—
1511C4—42no—
1512C4—41no—
1513C4—42no—
1514C4—44no—
1515C4—41no—
1516C4—42no—
1517C4—42no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—42no—
1522C4—42no—
1523C4—42no—
1524C4—42no—
1525C4—41no—
1526C4—41no—
1527C4—42no—
1528C4—42no—
1529C4—44no—
1530C4—44no—
1531C4—41no—
1532C4#350214yes—
1533C4#350414yes—
1534C2—44no—
1535C2#6275211yescharacteristic
1536C2C2×#350211yescharacteristic
1537C2C2×#350411yescharacteristic
1538C2#6292611yescharacteristic
1539C2#6296911yescharacteristic
1540C2#6298911yescharacteristic
1541C2#6303111yescharacteristic
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. #59920C2semidirect
2. #59872C2semidirect
3. #59672C2semidirect
4. #59665C2semidirect
5. #59665C2semidirect
6. #51793C2semidirect
7. #51788C2semidirect
8. #45797C2semidirect
9. #45413C2semidirect
10. #45223C2semidirect
11. #45202C2semidirect
12. #45121C2semidirect
15. #42492C2semidirect
16. #42489C2semidirect
17. #39754C2semidirect
18. #39753C2semidirect
19. #39693C2semidirect
20. #39693C2semidirect
21. #39622C2semidirect
24. #36563C2semidirect
25. Q8×#125C2semidirect
26. #36425C2semidirect
30. #35159C2semidirect
31. #34951C2semidirect
299. #554Q8semidirect

Maximal subgroups

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

subgroupindex
#599202
#598722
#596722
#596652
#517932
#517882
#457972
#454132
#452232
#452022
#451212
#424982
#424922
#424892
#397542
#397532
#396932
#396222
#394972
#389662
#365632
Q8×#1252
#364252
#364162
#351752
#351592
#349512
#348932
#344842
C4×#5542