Finite Group Databasebeta

← #7987109

Subgroups — #7987109

Order 512.

4202 conjugacy classes of subgroups.

The subgroup lattice has 1554 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59673C211yesmaximal, characteristic, complemented
2#59547C212yesmaximal, complemented
3#59297C212yesmaximal
4#59081C211yesmaximal, characteristic, complemented
5#59081C211yesmaximal, characteristic, complemented
6#51725C214yesmaximal
7#51671C214yesmaximal, complemented
8#46207C214yesmaximal, complemented
9#45345C212yesmaximal
10#45280C212yesmaximal, complemented
11#45184C212yesmaximal, complemented
12#45183C212yesmaximal, complemented
13#42776C212yesmaximal
14#42774C212yesmaximal, complemented
15#42748C212yesmaximal, complemented
16#42747C212yesmaximal, complemented
17#39769C211yesmaximal, characteristic, complemented
18#39734C211yesmaximal, characteristic, complemented
19#39641C211yesmaximal, characteristic, complemented
20#39159C211yesmaximal, characteristic, complemented
21#38287C212yesmaximal, complemented
22#38227C214yesmaximal, complemented
23#38072C212yesmaximal, complemented
24#36313C212yesmaximal, complemented
25#36310C212yesmaximal
26#36288C211yesmaximal, characteristic, complemented
27#36177C211yesmaximal, characteristic, complemented
28#36134C211yesmaximal, characteristic
29#35217C212yesmaximal, complemented
30#35213C212yesmaximal, complemented
31#34793C211yesmaximal, characteristic
32#34780C211yesmaximal, characteristic
33#34491C211yesmaximal, characteristic, complemented
34#34394C211yesmaximal, characteristic, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2868C2211yescharacteristic
40#2866C2214yes—
41#2863C2214yes—
42#2863C2214yes—
43#2862C2212yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2839C2214yes—
48#2836C2214yes—
49#2809C2214yes—
50#2802C2214yes—
51#2799C2214yes—
52#2799C2214yes—
53#2798C2214yes—
54#2798C2214yes—
55#2794C2214yes—
56#2794C2214yes—
57#2794C2214yes—
58#2791C2214yes—
59#2791C2214yes—
60#2791C2214yes—
61#2783C2214yes—
62#2777C2214yes—
63#2776C2214yes—
64#2775C2214yes—
65#2771C2214yes—
66#2769C2214yes—
67#2766C2214yes—
68#2766C2214yes—
69#2766C2214yes—
70#2765C2214yes—
71#2764C2214yes—
72#2762C2214yes—
73#2761C2214yes—
74#2758C2214yes—
75#2758C2214yes—
76#2747C2214yes—
77#2745C2214yes—
78#2739C2214yes—
79#2738C2214yes—
80#2729C2214yes—
81#2729C2214yes—
82#2667C2214yes—
83#2665C2214yes—
84#2655C2214yes—
85#2650C2214yes—
86#2647C2214yes—
87#2647C2212yes—
88#2645C2212yes—
89#2645C2214yes—
90#2642C2212yes—
91#2621C2212yes—
92#2612C2214yes—
93#2612C2214yes—
94#2612C2214yes—
95#2608C2214yes—
96#2607C2214yes—
97#2594C2214yes—
98#2588C2214yes—
99#2582C2214yes—
100#2581C2214yes—
101#2574C2214yes—
102#2573C2214yes—
103#2571C2211yescharacteristic
104#2570C2212yes—
105#2570C2212yes—
106#2570C2212yes—
107#2568C2211yescharacteristic
108#2568C2211yescharacteristic
109#2568C2212yes—
110#2552C2212yes—
111#2551C2211yescharacteristic
112#2550C2212yes—
113#2550C2212yes—
114#2550C2212yes—
115#2550C2212yes—
116#2546C2212yes—
117#2546C2211yescharacteristic
118#2546C2212yes—
119#2546C2211yescharacteristic
120#2542C2212yes—
121#2538C2212yes—
122#2533C2214yes—
123#2533C2214yes—
124#2532C2214yes—
125#2532C2214yes—
126#2530C2212yes—
127#2529C2214yes—
128#2528C2214yes—
129#2528C2212yes—
130#2528C2214yes—
131#2528C2214yes—
132#2528C2214yes—
133#2527C2214yes—
134#2526C2214yes—
135#2524C2212yes—
136#2524C2214yes—
137#2524C2214yes—
138#2524C2214yes—
139#2517C2212yes—
140#2515C2212yes—
141#2515C2214yes—
142#2514C2212yes—
143#2514C2212yes—
144#2514C2212yes—
145#2514C2214yes—
146#2514C2212yes—
147#2514C2211yescharacteristic
148#2511C2211yescharacteristic
149#2511C2212yes—
150#2511C2212yes—
151#2509C2212yes—
152#2509C2212yes—
153#2509C2212yes—
154#2509C2214yes—
155#2508C2212yes—
156#2508C2212yes—
157#2508C2212yes—
158#2508C2214yes—
159#2508C2211yescharacteristic
160#2507C2212yes—
161#2507C2212yes—
162#2507C2212yes—
163#2506C2211yescharacteristic
164#2503C2212yes—
165#2503C2211yescharacteristic
166#2499C2211yescharacteristic
167#2495C2212yes—
168#2495C2211yescharacteristic
169#2495C2212yes—
170#2494C2212yes—
171#2494C2211yescharacteristic
172#2493C2214yes—
173#2493C2212yes—
174#2492C2212yes—
175#2492C2212yes—
176#2492C2212yes—
177#2492C2212yes—
178#2492C2212yes—
179#2489C2211yescharacteristic
180#2489C2211yescharacteristic
181#2486C2211yescharacteristic
182#2485C2211yescharacteristic
183#2462C2214yes—
184#2460C2212yes—
185#2458C2214yes—
186#2458C2214yes—
187#2453C2214yes—
188#2453C2212yes—
189#2453C2212yes—
190#2451C2212yes—
191#2451C2212yes—
192#2446C2212yes—
193#2446C2212yes—
194#2446C2212yes—
195#2446C2212yes—
196#2446C2214yes—
197#2446C2214yes—
198#2446C2212yes—
199#2442C2211yescharacteristic
200#2441C2212yes—
201#2441C2212yes—
202#2441C2211yescharacteristic
203#2439C2212yes—
204#2439C2212yes—
205#2439C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2429C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2421C2212yes—
214#2419C2212yes—
215#2417C2211yescharacteristic
216#2415C2211yescharacteristic
217#2402C2212yes—
218#2401C2212yes—
219#2401C2212yes—
220#2395C2212yes—
221#2381C2214yes—
222#2378C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2369C2211yescharacteristic
226#2369C2211yescharacteristic
227#2369C2211yescharacteristic
228#2369C2212yes—
229#2368C2214yes—
230#2365C2212yes—
231#2365C2212yes—
232#2365C2212yes—
233#2365C2212yes—
234#2365C2211yescharacteristic
235#2365C2211yescharacteristic
236#2365C2211yescharacteristic
237#2365C2211yescharacteristic
238#2365C2212yes—
239#2365C2212yes—
240#2365C2212yes—
241#2362C2212yes—
242#2362C2212yes—
243#2360C2212yes—
244#2360C2212yes—
245#2360C2212yes—
246#2356C2212yes—
247#2356C2212yes—
248#2356C2212yes—
249#2356C2214yes—
250#2356C2212yes—
251#2355C2211yescharacteristic
252#2355C2211yescharacteristic
253#2354C2212yes—
254#2351C2212yes—
255Q8×C4⋊C4C2212yes—
256#2347C2212yes—
257#2346C2212yes—
258#2346C2212yes—
259#2331C2212yes—
260#2331C2212yes—
261#2331C2212yes—
262#2330C2212yes—
263#2330C2212yes—
264#2330C2212yes—
265#2327C2214yes—
266#2327C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2323C2212yes—
270#2320C2214yes—
271#2320C2212yes—
272#2320C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#125C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×#123C2212yes—
282#2298C2212yes—
283#2296C2212yes—
284#2295C2214yes—
285#2295C2214yes—
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2285C2211yescharacteristic
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2283C2212yes—
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299Q82—28no—
300#533—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2314yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#123C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2314yes—
344C2×C4×Q8C2314yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2311yescharacteristic
352C2×#117C2312yes—
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C42C2312yes—
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358#401C2314yes—
359#401C2312yes—
360#401C2314yes—
361#401C2314yes—
362#401C2312yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#399C2314yes—
402#399C2312yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2312yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2312yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#394C2312yes—
455#394C2312yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2314yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2314yes—
471#391C2311yescharacteristic
472#391C2311yescharacteristic
473#391C2314yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2314yes—
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2314yes—
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2311yescharacteristic
503#390C2314yes—
504#389C2312yes—
505#389C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2311yescharacteristic
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
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#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
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#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#386C2312yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2312yes—
679#384C2314yes—
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2312yes—
683#383C2314yes—
684#383C2312yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#383C2312yes—
689#383C2312yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#382C2311yescharacteristic
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2314yes—
705#382C2312yes—
706#382C2314yes—
707#382C2314yes—
708#382C2314yes—
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#381C2312yes—
713#381C2314yes—
714#381C2312yes—
715#381C2312yes—
716#381C2312yes—
717#381C2314yes—
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
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⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800#376C2312yes—
801#376C2312yes—
802#376C2314yes—
803#376C2314yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2312yes—
808#376C2314yes—
809C2×#95C2312yes—
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2314yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×D4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C4⋊Q8—216no—
830C4⋊Q8—28no—
831C4⋊Q8—28no—
832C4⋊Q8—28no—
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8#4118yes—
841#125—28no—
842#125—28no—
843#125—24no—
844#125—42no—
845#125—44no—
846#123—44no—
847C22⋊Q8—28no—
848C22⋊Q8—28no—
849C22⋊Q8—24no—
850C22⋊Q8—28no—
851C22⋊Q8—28no—
852C22⋊Q8—24no—
853C22⋊Q8—42no—
854C22⋊Q8—42no—
855C22⋊Q8—44no—
856C22⋊Q8—44no—
857C4×Q8—28no—
858C4×Q8—28no—
859C4×Q8—28no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—44no—
866C4×Q8—48no—
867C4×Q8—48no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×D4—24no—
873C4×D4—42no—
874C4×D4—42no—
875#117—24no—
876#117—28no—
877#117—28no—
878#117—24no—
879#117—44no—
880C2×C4⋊C4—42no—
881C2×C4⋊C4—42no—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2411yescharacteristic
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C42—28no—
988C2×C42—24no—
989C2×C42—24no—
990C2×C42C2412yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2412yes—
994C2×C42C2412yes—
995C2×C42C2412yes—
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2414yes—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2414yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132C24C2511yescharacteristic
1133C24C2511yescharacteristic
1134C2×Q8—22no—
1135C2×Q8—22no—
1136C2×Q8—24no—
1137C2×Q8—24no—
1138C2×Q8—28no—
1139C2×Q8—22no—
1140C2×Q8—22no—
1141C2×Q8—28no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—42no—
1149C2×Q8—42no—
1150C2×Q8—44no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8—44no—
1154C2×Q8C2×#4118yes—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—41no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—42no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—42no—
1181C22×C42−1+414yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2514yes—
1205C22×C4C2514yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2514yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—28no—
1218C4⋊C4—28no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—28no—
1224C4⋊C4—28no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—41no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4C2×#4118yes—
1294C4⋊C4C2×#4118yes—
1295C4⋊C42−1+414yes—
1296C22⋊C4—24no—
1297C22⋊C4—22no—
1298C22⋊C4—24no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—24no—
1302C22⋊C4—22no—
1303C22⋊C4—24no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—42no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—28no—
1327C42—28no—
1328C42—28no—
1329C42—24no—
1330C42—24no—
1331C42—24no—
1332C42—24no—
1333C42—24no—
1334C42—24no—
1335C42—24no—
1336C42—24no—
1337C42—22no—
1338C42—22no—
1339C42—24no—
1340C42—24no—
1341C42—24no—
1342C42—22no—
1343C42—22no—
1344C42—28no—
1345C42—24no—
1346C42—22no—
1347C42—44no—
1348C42—41no—
1349C42—42no—
1350C42—44no—
1351C42—44no—
1352C42—44no—
1353C42—44no—
1354C42—44no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—42no—
1359C42C2×#4114yes—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23C2×2−1+412yes—
1374C23C2611yescharacteristic
1375Q8—48no—
1376Q8—44no—
1377Q8—44no—
1378Q8—48no—
1379Q8—48no—
1380Q8—88no—
1381Q8—88no—
1382D4—44no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—24no—
1387C2×C4—22no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—24no—
1392C2×C4—21no—
1393C2×C4—28no—
1394C2×C4—21no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—24no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—24no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—24no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—44no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—82no—
1476C2×C4—82no—
1477C2×C4—84no—
1478C2×C4—84no—
1479C2×C4C22×#4118yes—
1480C2×C4C22×#4112yes—
1481C2×C4C22×#4112yes—
1482C2×C4C22×#4112yes—
1483C2×C4C2×2−1+412yes—
1484C2×C4C2×2−1+414yes—
1485C2×C4C2×2−1+412yes—
1486C2×C4C2×2−1+412yes—
1487C2×C4#58512yes—
1488C2×C4#58512yes—
1489C2×C4#58512yes—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22C23×#4111yescharacteristic
1505C22C22×2−1+411yescharacteristic
1506C22C22×2−1+411yescharacteristic
1507C22C2×#58511yescharacteristic
1508C22C2×#58511yescharacteristic
1509C22C2×#58511yescharacteristic
1510C222−1+611yescharacteristic
1511C4—22no—
1512C4—28no—
1513C4—22no—
1514C4—24no—
1515C4—22no—
1516C4—41no—
1517C4—41no—
1518C4—42no—
1519C4—42no—
1520C4—42no—
1521C4—42no—
1522C4—42no—
1523C4—42no—
1524C4—41no—
1525C4—44no—
1526C4—42no—
1527C4—41no—
1528C4—42no—
1529C4—41no—
1530C4—41no—
1531C4—42no—
1532C4—44no—
1533C4—44no—
1534C4—42no—
1535C4—41no—
1536C4—42no—
1537C4—42no—
1538C4—41no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4#352314yes—
1543C4#352414yes—
1544C2—42no—
1545C2—81no—
1546C2#6275211yescharacteristic
1547C2C2×#352311yescharacteristic
1548C2C2×#352411yescharacteristic
1549C2#6295311yescharacteristic
1550C2#6295911yescharacteristic
1551C2#6299111yescharacteristic
1552C2#6302511yescharacteristic
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. #59673C2semidirect
2. #59547C2semidirect
4. #59081C2semidirect
5. #59081C2semidirect
7. #51671C2semidirect
8. #46207C2semidirect
10. #45280C2semidirect
11. #45184C2semidirect
12. #45183C2semidirect
14. #42774C2semidirect
15. #42748C2semidirect
16. #42747C2semidirect
17. #39769C2semidirect
18. #39734C2semidirect
19. #39641C2semidirect
20. #39159C2semidirect
21. #38287C2semidirect
22. #38227C2semidirect
23. #38072C2semidirect
24. #36313C2semidirect
26. #36288C2semidirect
27. #36177C2semidirect
29. #35217C2semidirect
30. #35213C2semidirect
33. #34491C2semidirect
34. #34394C2semidirect
35. #34145C2semidirect

Maximal subgroups

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

subgroupindex
#596732
#595472
#592972
#590812
#517252
#516712
#462072
#453452
#452802
#451842
#451832
#427762
#427742
#427482
#427472
#397692
#397342
#396412
#391592
#382872
#382272
#380722
#363132
#363102
#362882
#361772
#361342
#352172
#352132
#347932
#347802
#344912
#343942
#341452