Finite Group Databasebeta

← #8463246

Subgroups — #8463246

Order 512.

4163 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#59828C211yesmaximal, characteristic, complemented
2#59428C211yesmaximal, characteristic
3#59427C211yesmaximal, characteristic
4#58639C214yesmaximal, complemented
5#57322C214yesmaximal, complemented
6#54312C214yesmaximal, complemented
7#53114C212yesmaximal
8#53040C212yesmaximal, complemented
9#51720C214yesmaximal, complemented
10#46346C212yesmaximal, complemented
11#46011C212yesmaximal, complemented
12#45394C212yesmaximal
13#44956C212yesmaximal, complemented
14#42819C212yesmaximal, complemented
15#42811C212yesmaximal, complemented
16#42773C212yesmaximal, complemented
17#42470C212yesmaximal, complemented
18#40178C212yesmaximal, complemented
19#39951C212yesmaximal
20#39754C211yesmaximal, characteristic, complemented
21#39633C211yesmaximal, characteristic
22#39498C211yesmaximal, characteristic
23#39293C212yesmaximal, complemented
24#38978C211yesmaximal, characteristic
25#38227C212yesmaximal, complemented
26#37630C211yesmaximal, characteristic, complemented
27#37412C212yesmaximal
28#37312C212yesmaximal, complemented
29#36593C211yesmaximal, characteristic, complemented
30#36563C211yesmaximal, characteristic, complemented
31#36285C211yesmaximal, characteristic, complemented
32#35187C211yesmaximal, characteristic, complemented
33#35184C211yesmaximal, characteristic
34#34950C211yesmaximal, characteristic, complemented
35#34902C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#557C2212yes—
38C2×#556C2212yes—
39#2868C2212yes—
40#2868C2211yescharacteristic
41#2864C2212yes—
42#2863C2212yes—
43#2863C2212yes—
44#2863C2212yes—
45#2861C2212yes—
46#2859C2211yescharacteristic
47#2859C2211yescharacteristic
48#2843C2214yes—
49#2839C2214yes—
50#2836C2214yes—
51#2834C2214yes—
52#2833C2214yes—
53#2831C2214yes—
54#2822C2214yes—
55#2821C2214yes—
56#2807C2214yes—
57#2805C2214yes—
58#2802C2214yes—
59#2802C2214yes—
60#2794C2214yes—
61#2794C2214yes—
62#2793C2214yes—
63#2792C2214yes—
64#2791C2214yes—
65#2791C2214yes—
66#2790C2214yes—
67#2790C2214yes—
68#2788C2214yes—
69#2783C2214yes—
70#2777C2214yes—
71#2777C2214yes—
72#2774C2214yes—
73#2772C2214yes—
74#2772C2214yes—
75#2770C2214yes—
76#2766C2214yes—
77#2766C2214yes—
78#2766C2214yes—
79#2765C2214yes—
80#2764C2214yes—
81#2759C2214yes—
82#2758C2214yes—
83#2758C2214yes—
84#2758C2214yes—
85#2754C2214yes—
86#2739C2214yes—
87#2734C2214yes—
88#2729C2214yes—
89#2729C2214yes—
90#2726C2214yes—
91#2721C2214yes—
92#2721C2214yes—
93#2721C2214yes—
94#2720C2214yes—
95#2720C2214yes—
96#2719C2214yes—
97#2719C2214yes—
98#2716C2214yes—
99#2713C2214yes—
100#2713C2214yes—
101#2698C2214yes—
102#2690C2214yes—
103#2689C2214yes—
104#2677C2214yes—
105#2666C2214yes—
106#2664C2214yes—
107#2660C2212yes—
108#2655C2214yes—
109#2655C2214yes—
110#2654C2214yes—
111#2647C2214yes—
112#2647C2212yes—
113#2647C2212yes—
114#2645C2212yes—
115#2645C2212yes—
116#2644C2212yes—
117#2642C2212yes—
118#2634C2214yes—
119#2634C2214yes—
120#2628C2212yes—
121#2612C2214yes—
122#2611C2214yes—
123#2606C2214yes—
124#2606C2214yes—
125#2604C2214yes—
126#2596C2212yes—
127#2594C2212yes—
128#2592C2212yes—
129#2592C2211yescharacteristic
130#2590C2214yes—
131#2586C2212yes—
132#2586C2212yes—
133#2584C2212yes—
134#2584C2212yes—
135#2582C2212yes—
136#2582C2211yescharacteristic
137#2582C2212yes—
138#2582C2211yescharacteristic
139#2582C2211yescharacteristic
140#2581C2214yes—
141#2581C2212yes—
142#2581C2212yes—
143#2581C2211yescharacteristic
144#2580C2212yes—
145#2571C2211yescharacteristic
146#2571C2212yes—
147#2570C2211yescharacteristic
148#2570C2212yes—
149#2570C2212yes—
150#2568C2212yes—
151#2568C2211yescharacteristic
152#2567C2211yescharacteristic
153#2567C2211yescharacteristic
154#2567C2212yes—
155#2565C2212yes—
156#2552C2214yes—
157#2552C2212yes—
158#2552C2212yes—
159#2552C2212yes—
160#2552C2212yes—
161#2552C2211yescharacteristic
162#2552C2211yescharacteristic
163#2552C2212yes—
164#2551C2211yescharacteristic
165#2550C2212yes—
166#2550C2212yes—
167#2547C2211yescharacteristic
168#2546C2214yes—
169#2546C2212yes—
170#2546C2211yescharacteristic
171#2546C2211yescharacteristic
172#2545C2212yes—
173#2545C2211yescharacteristic
174#2538C2211yescharacteristic
175#2533C2214yes—
176#2532C2214yes—
177#2528C2214yes—
178#2525C2212yes—
179#2525C2214yes—
180#2524C2214yes—
181#2524C2214yes—
182#2514C2211yescharacteristic
183#2514C2212yes—
184#2514C2212yes—
185#2512C2211yescharacteristic
186#2511C2212yes—
187#2509C2212yes—
188#2509C2212yes—
189#2509C2212yes—
190#2508C2212yes—
191#2508C2212yes—
192#2507C2212yes—
193#2507C2211yescharacteristic
194#2507C2212yes—
195#2507C2212yes—
196#2507C2212yes—
197#2507C2211yescharacteristic
198#2506C2212yes—
199#2506C2212yes—
200#2502C2212yes—
201#2499C2212yes—
202#2497C2212yes—
203#2497C2212yes—
204#2496C2212yes—
205#2496C2212yes—
206#2495C2212yes—
207#2495C2212yes—
208#2495C2212yes—
209#2492C2212yes—
210#2489C2212yes—
211#2478C2214yes—
212#2475C2214yes—
213#2475C2214yes—
214#2469C2214yes—
215#2469C2214yes—
216#2469C2212yes—
217#2454C2212yes—
218#2453C2214yes—
219#2453C2212yes—
220#2453C2212yes—
221#2453C2212yes—
222#2452C2212yes—
223#2451C2212yes—
224#2451C2212yes—
225#2451C2211yescharacteristic
226#2451C2212yes—
227#2451C2211yescharacteristic
228#2451C2212yes—
229#2448C2211yescharacteristic
230#2448C2212yes—
231#2448C2212yes—
232#2447C2212yes—
233#2446C2212yes—
234#2446C2212yes—
235#2446C2212yes—
236#2446C2212yes—
237#2446C2212yes—
238#2446C2211yescharacteristic
239#2446C2212yes—
240#2442C2212yes—
241#2441C2212yes—
242#2441C2212yes—
243#2440C2212yes—
244#2440C2212yes—
245#2439C2212yes—
246#2423C2212yes—
247#2401C2212yes—
248#2399C2212yes—
249#2399C2212yes—
250#2396C2212yes—
251#2381C2214yes—
252#2370C2212yes—
253#2369C2212yes—
254#2365C2212yes—
255#2356C2212yes—
256#2356C2212yes—
257#2355C2211yescharacteristic
258#2355C2212yes—
259#2354C2211yescharacteristic
260Q8×C4⋊C4C2211yescharacteristic
261Q8×C4⋊C4C2211yescharacteristic
262Q8×C4⋊C4C2212yes—
263Q8×C4⋊C4C2211yescharacteristic
264Q8×C4⋊C4C2212yes—
265D4×C4⋊C4C2211yescharacteristic
266#2346C2212yes—
267#2344C2212yes—
268#2330C2212yes—
269#2327C2212yes—
270#2326C2212yes—
271#2323C2214yes—
272#2323C2212yes—
273#2320C2212yes—
274#2320C2212yes—
275#2317C2212yes—
276#2314C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×C4⋊Q8C2211yescharacteristic
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2212yes—
286C4×#126C2212yes—
287C4×#124C2211yescharacteristic
288C4×#124C2211yescharacteristic
289#2298C2212yes—
290#2295C2212yes—
291#2295C2212yes—
292#2295C2211yescharacteristic
293#2295C2211yescharacteristic
294#2295C2211yescharacteristic
295#2293C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×Q8C2211yescharacteristic
299#557—48no—
300#557—48no—
301#556—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2314yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2314yes—
359C22×C4⋊C4C2312yes—
360#401C2312yes—
361#401C2314yes—
362#401C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2312yes—
400#399C2314yes—
401#399C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#395C2312yes—
467#395C2314yes—
468#395C2312yes—
469#395C2312yes—
470#395C2312yes—
471#395C2312yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2312yes—
477#395C2314yes—
478#395C2312yes—
479#395C2312yes—
480#395C2312yes—
481#395C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2311yescharacteristic
516#391C2314yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2314yes—
607#389C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2312yes—
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2314yes—
717#384C2312yes—
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2314yes—
723#384C2312yes—
724#384C2312yes—
725#384C2314yes—
726#383C2312yes—
727#383C2314yes—
728#383C2314yes—
729#383C2314yes—
730#383C2314yes—
731#383C2314yes—
732#383C2314yes—
733#382C2312yes—
734#382C2314yes—
735#382C2312yes—
736#382C2314yes—
737#382C2312yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#382C2312yes—
742#382C2312yes—
743#382C2314yes—
744#382C2314yes—
745#381C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2414yes—
825C4⋊Q8—28no—
826C4⋊Q8—24no—
827C4⋊Q8—24no—
828C4⋊Q8—24no—
829C4⋊Q8—42no—
830C4⋊Q8—44no—
831C4⋊Q8—42no—
832C4⋊Q8—44no—
833C4⋊Q8—48no—
834C4⋊Q8—44no—
835C4⋊Q8—48no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838#126—44no—
839#126—48no—
840#126—48no—
841#125—44no—
842#125—44no—
843#125—48no—
844#125—44no—
845#125—48no—
846#125—48no—
847#125—44no—
848#125—48no—
849#125—48no—
850#124—24no—
851#124—24no—
852#124—44no—
853C22⋊Q8—48no—
854C22⋊Q8—48no—
855C22⋊Q8—44no—
856C4×Q8—28no—
857C4×Q8—28no—
858C4×Q8—24no—
859C4×Q8—24no—
860C4×Q8—24no—
861C4×Q8—24no—
862C4×Q8—24no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—28no—
866C4×Q8—24no—
867C4×Q8—44no—
868C4×Q8—48no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—42no—
872C4×Q8—48no—
873C4×Q8—42no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×D4—24no—
878C4×D4—44no—
879#117—28no—
880#117—48no—
881#117—44no—
882C2×C4⋊C4—44no—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2414yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2411yescharacteristic
1073#95C2412yes—
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2412yes—
1083#95C2411yescharacteristic
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134C24C2512yes—
1135C2×Q8—24no—
1136C2×Q8—22no—
1137C2×Q8—22no—
1138C2×Q8—22no—
1139C2×Q8—22no—
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—28no—
1150C2×Q8—24no—
1151C2×Q8—42no—
1152C2×Q8—41no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×Q8—44no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8H(5,𝔽2)14yes—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4C2511yescharacteristic
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2511yescharacteristic
1176C22×C4C2512yes—
1177C22×C4C2511yescharacteristic
1178C22×C4C2512yes—
1179C22×C4C2514yes—
1180C22×C4C2512yes—
1181C22×C4C2514yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2514yes—
1193C22×C4C2514yes—
1194C22×C4C2512yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C4⋊C4—28no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—28no—
1209C4⋊C4—24no—
1210C4⋊C4—22no—
1211C4⋊C4—28no—
1212C4⋊C4—24no—
1213C4⋊C4—28no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—22no—
1218C4⋊C4—24no—
1219C4⋊C4—22no—
1220C4⋊C4—24no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—41no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C42—28no—
1323C42—24no—
1324C42—24no—
1325C42—28no—
1326C42—24no—
1327C42—24no—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—24no—
1332C42—24no—
1333C42—22no—
1334C42—24no—
1335C42—22no—
1336C42—28no—
1337C42—24no—
1338C42—24no—
1339C42—22no—
1340C42—22no—
1341C42—24no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—24no—
1346C42—22no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—42no—
1351C42—42no—
1352C42—44no—
1353C42—44no—
1354C42—44no—
1355C42—41no—
1356C42—41no—
1357C42—42no—
1358C42—44no—
1359C42—44no—
1360C42—42no—
1361C422−1+414yes—
1362C422−1+414yes—
1363C422−1+414yes—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23C2611yescharacteristic
1372Q8—28no—
1373Q8—44no—
1374Q8—48no—
1375Q8—48no—
1376Q8—44no—
1377Q8—44no—
1378Q8—88no—
1379Q8—84no—
1380Q8—84no—
1381D4—44no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—24no—
1401C2×C4—24no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—21no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—24no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—48no—
1472C2×C4—88no—
1473C2×C4C2×H(5,𝔽2)14yes—
1474C2×C4C2×H(5,𝔽2)12yes—
1475C2×C4C2×2−1+412yes—
1476C2×C4C2×2−1+412yes—
1477C2×C4C2×2−1+412yes—
1478C2×C4C2×2−1+412yes—
1479C2×C4C2×2−1+412yes—
1480C2×C4C2×2−1+412yes—
1481C2×C4C2×2−1+412yes—
1482C2×C4C2×2−1+412yes—
1483C2×C4C2×2−1+412yes—
1484C2×C4#58512yes—
1485C2×C4#58512yes—
1486C22—42no—
1487C22—42no—
1488C22—42no—
1489C22—42no—
1490C22—42no—
1491C22—42no—
1492C22—42no—
1493C22C22×H(5,𝔽2)11yescharacteristic
1494C22C22×2−1+411yescharacteristic
1495C22C22×2−1+411yescharacteristic
1496C22C22×2−1+411yescharacteristic
1497C22C2×#58511yescharacteristic
1498C22C2×#58511yescharacteristic
1499C222−1+611yescharacteristic
1500C4—24no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—22no—
1507C4—44no—
1508C4—42no—
1509C4—42no—
1510C4—42no—
1511C4—41no—
1512C4—42no—
1513C4—44no—
1514C4—44no—
1515C4—42no—
1516C4—41no—
1517C4—42no—
1518C4—42no—
1519C4—41no—
1520C4—42no—
1521C4—41no—
1522C4—42no—
1523C4—41no—
1524C4—42no—
1525C4—42no—
1526C4—41no—
1527C4—42no—
1528C4—41no—
1529C4—42no—
1530C4—44no—
1531C4—42no—
1532C4#354414yes—
1533C4#355514yes—
1534C2—82no—
1535C2C2×#354411yescharacteristic
1536C2C2×#355511yescharacteristic
1537C2#6283711yescharacteristic
1538C2#6291311yescharacteristic
1539C2#6295611yescharacteristic
1540C2#6295611yescharacteristic
1541C2#6301911yescharacteristic
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. #59828C2semidirect
4. #58639C2semidirect
5. #57322C2semidirect
6. #54312C2semidirect
8. #53040C2semidirect
9. #51720C2semidirect
10. #46346C2semidirect
11. #46011C2semidirect
13. #44956C2semidirect
14. #42819C2semidirect
15. #42811C2semidirect
16. #42773C2semidirect
17. #42470C2semidirect
18. #40178C2semidirect
20. #39754C2semidirect
23. #39293C2semidirect
25. #38227C2semidirect
26. #37630C2semidirect
28. #37312C2semidirect
29. #36593C2semidirect
30. #36563C2semidirect
31. #36285C2semidirect
32. #35187C2semidirect
34. #34950C2semidirect

Maximal subgroups

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

subgroupindex
#598282
#594282
#594272
#586392
#573222
#543122
#531142
#530402
#517202
#463462
#460112
#453942
#449562
#428192
#428112
#427732
#424702
#401782
#399512
#397542
#396332
#394982
#392932
#389782
#382272
#376302
#374122
#373122
#365932
#365632
#362852
#351872
#351842
#349502
#349022