Finite Group Databasebeta

← #8107684

Subgroups — #8107684

Order 512.

5163 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52973C212yesmaximal, complemented
2#52964C212yesmaximal, complemented
3#52813C214yesmaximal, complemented
4#52553C214yesmaximal, complemented
5#45437C211yesmaximal, characteristic, complemented
6#45434C211yesmaximal, characteristic, complemented
7#45357C211yesmaximal, characteristic, complemented
8#45354C211yesmaximal, characteristic, complemented
9#44842C214yesmaximal, complemented
10#44770C214yesmaximal, complemented
11#42881C211yesmaximal, characteristic, complemented
12#42651C211yesmaximal, characteristic, complemented
13#42529C212yesmaximal, complemented
14#42499C212yesmaximal, complemented
15#42427C211yesmaximal, characteristic, complemented
16#42425C211yesmaximal, characteristic, complemented
17#42271C214yesmaximal, complemented
18#42172C214yesmaximal, complemented
19#42060C214yesmaximal, complemented
20#42030C214yesmaximal, complemented
21#36496C211yesmaximal, characteristic, complemented
22#36472C212yesmaximal, complemented
23#36465C211yesmaximal, characteristic, complemented
24#36403C211yesmaximal, characteristic, complemented
25#36373C212yesmaximal, complemented
26#36370C211yesmaximal, characteristic, complemented
27#35276C211yesmaximal, characteristic, complemented
28#35268C211yesmaximal, characteristic, complemented
29#35198C212yesmaximal, complemented
30#35186C212yesmaximal, complemented
31#34552C211yesmaximal, characteristic, complemented
32C2×#559C2211yescharacteristic
33C2×#554C2211yescharacteristic
34C2×#553C2214yes—
35C2×#550C2211yescharacteristic
36C2×D4×Q8C2211yescharacteristic
37C2×#548C2214yes—
38C2×#542C2214yes—
39C2×#542C2211yescharacteristic
40C2×#540C2211yescharacteristic
41#2864C2211yescharacteristic
42#2861C2212yes—
43#2861C2211yescharacteristic
44#2860C2212yes—
45#2860C2212yes—
46#2860C2212yes—
47#2858C2212yes—
48#2858C2211yescharacteristic
49#2858C2211yescharacteristic
50#2856C2211yescharacteristic
51#2850C2211yescharacteristic
52#2841C2214yes—
53#2837C2214yes—
54#2829C2214yes—
55#2829C2214yes—
56#2828C2214yes—
57#2827C2214yes—
58#2826C2214yes—
59#2819C2212yes—
60#2817C2212yes—
61#2816C2212yes—
62#2816C2214yes—
63#2813C2214yes—
64#2813C2214yes—
65#2813C2212yes—
66#2807C2214yes—
67#2768C2214yes—
68#2732C2214yes—
69#2732C2214yes—
70#2729C2214yes—
71#2720C2214yes—
72#2710C2214yes—
73#2708C2214yes—
74#2708C2214yes—
75#2704C2214yes—
76#2704C2214yes—
77#2703C2214yes—
78#2700C2214yes—
79#2699C2214yes—
80#2699C2214yes—
81#2699C2214yes—
82#2692C2214yes—
83#2689C2214yes—
84#2688C2214yes—
85#2686C2214yes—
86#2682C2214yes—
87#2682C2214yes—
88#2681C2214yes—
89#2681C2214yes—
90#2681C2214yes—
91#2680C2214yes—
92#2676C2214yes—
93#2675C2214yes—
94#2674C2214yes—
95#2672C2214yes—
96#2671C2214yes—
97#2671C2214yes—
98#2667C2214yes—
99#2663C2212yes—
100#2663C2212yes—
101#2662C2212yes—
102#2662C2214yes—
103#2662C2214yes—
104#2661C2214yes—
105#2660C2211yescharacteristic
106#2657C2211yescharacteristic
107#2656C2212yes—
108#2651C2214yes—
109#2651C2214yes—
110#2636C2212yes—
111#2635C2214yes—
112#2628C2211yescharacteristic
113#2627C2214yes—
114#2624C2212yes—
115#2623C2212yes—
116#2620C2211yescharacteristic
117#2619C2211yescharacteristic
118#2619C2211yescharacteristic
119#2615C2212yes—
120#2614C2212yes—
121#2610C2214yes—
122#2604C2214yes—
123#2603C2214yes—
124#2603C2214yes—
125#2596C2214yes—
126#2593C2214yes—
127#2582C2212yes—
128#2581C2211yescharacteristic
129#2580C2211yescharacteristic
130#2580C2211yescharacteristic
131#2580C2211yescharacteristic
132#2575C2214yes—
133#2567C2211yescharacteristic
134#2566C2212yes—
135#2556C2214yes—
136#2555C2214yes—
137#2555C2214yes—
138#2555C2214yes—
139#2554C2214yes—
140#2552C2212yes—
141#2552C2212yes—
142#2551C2212yes—
143#2550C2212yes—
144#2549C2214yes—
145#2548C2212yes—
146#2548C2212yes—
147#2548C2212yes—
148#2544C2212yes—
149#2544C2212yes—
150#2542C2212yes—
151#2542C2211yescharacteristic
152#2541C2212yes—
153#2541C2212yes—
154#2541C2212yes—
155#2541C2211yescharacteristic
156#2541C2211yescharacteristic
157#2540C2214yes—
158#2540C2214yes—
159#2540C2214yes—
160#2540C2212yes—
161#2538C2212yes—
162#2526C2214yes—
163#2521C2214yes—
164#2516C2214yes—
165#2512C2214yes—
166#2509C2212yes—
167#2507C2212yes—
168#2501C2212yes—
169#2492C2212yes—
170#2491C2214yes—
171#2490C2212yes—
172#2490C2214yes—
173#2479C2214yes—
174#2476C2214yes—
175#2474C2214yes—
176#2468C2214yes—
177#2468C2214yes—
178#2468C2214yes—
179#2467C2214yes—
180#2464C2214yes—
181#2464C2214yes—
182#2464C2214yes—
183#2464C2214yes—
184#2461C2214yes—
185#2461C2214yes—
186#2461C2214yes—
187#2461C2214yes—
188#2461C2214yes—
189#2459C2214yes—
190#2459C2214yes—
191#2458C2214yes—
192#2454C2212yes—
193#2454C2212yes—
194#2452C2212yes—
195#2452C2212yes—
196#2449C2214yes—
197#2448C2212yes—
198#2448C2214yes—
199#2447C2212yes—
200#2447C2212yes—
201#2445C2212yes—
202#2445C2212yes—
203#2445C2212yes—
204#2443C2214yes—
205#2440C2214yes—
206#2434C2212yes—
207#2430C2212yes—
208#2428C2212yes—
209#2428C2212yes—
210#2428C2212yes—
211#2426C2212yes—
212#2426C2214yes—
213#2426C2214yes—
214#2422C2212yes—
215#2422C2212yes—
216#2414C2214yes—
217#2409C2214yes—
218#2406C2214yes—
219#2402C2212yes—
220#2402C2212yes—
221#2402C2212yes—
222#2399C2212yes—
223#2399C2211yescharacteristic
224#2399C2212yes—
225#2399C2211yescharacteristic
226#2396C2212yes—
227#2396C2212yes—
228#2396C2211yescharacteristic
229#2396C2211yescharacteristic
230#2396C2212yes—
231#2396C2212yes—
232#2396C2212yes—
233#2373C2214yes—
234#2372C2214yes—
235#2367C2212yes—
236#2366C2212yes—
237#2363C2214yes—
238#2361C2214yes—
239#2361C2214yes—
240#2359C2214yes—
241#2357C2212yes—
242#2357C2211yescharacteristic
243#2357C2211yescharacteristic
244#2351C2211yescharacteristic
245#2349C2211yescharacteristic
246D4×C4⋊C4C2212yes—
247#2331C2211yescharacteristic
248#2328C2211yescharacteristic
249#2328C2211yescharacteristic
250#2326C2214yes—
251#2326C2211yescharacteristic
252#2324C2214yes—
253#2319C2212yes—
254#2319C2214yes—
255C4×#127C2211yescharacteristic
256C4×#127C2212yes—
257C4×#127C2212yes—
258C4×#124C2211yescharacteristic
259C4×#121C2212yes—
260#2295C2212yes—
261#2293C2212yes—
262C42×Q8C2211yescharacteristic
263C42×Q8C2211yescharacteristic
264C42×Q8C2212yes—
265C4×#117C2212yes—
266C4×#117C2211yescharacteristic
267C22×#41C2312yes—
268C23×Q8C2312yes—
269#559—44no—
270#554—44no—
271#553—416no—
272#550—44no—
273D4×Q8—44no—
274#548—416no—
275#542—44no—
276#542—416no—
277#540—44no—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2314yes—
282C2×#127C2311yescharacteristic
283C2×#127C2311yescharacteristic
284C2×#127C2311yescharacteristic
285C2×#127C2312yes—
286C2×#127C2312yes—
287C2×#127C2311yescharacteristic
288C2×#127C2312yes—
289C2×#126C2314yes—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#126C2312yes—
293C2×#125C2312yes—
294C2×#125C2311yescharacteristic
295C2×#125C2314yes—
296C2×#124C2311yescharacteristic
297C2×#124C2314yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302C2×#124C2314yes—
303C2×#124C2314yes—
304C2×#124C2311yescharacteristic
305C2×#124C2312yes—
306C2×#124C2311yescharacteristic
307C2×#124C2314yes—
308C2×#123C2312yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2312yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2314yes—
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C22×C4⋊C4C2314yes—
381C22×C4⋊C4C2312yes—
382C22×C42C2311yescharacteristic
383#400C2311yescharacteristic
384#400C2314yes—
385#400C2312yes—
386#400C2312yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2311yescharacteristic
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#399C2312yes—
396#399C2314yes—
397#399C2312yes—
398#399C2312yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2312yes—
403#399C2312yes—
404#399C2312yes—
405#399C2314yes—
406#399C2314yes—
407#399C2311yescharacteristic
408#399C2311yescharacteristic
409#399C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2312yes—
453#396C2312yes—
454#396C2314yes—
455#395C2312yes—
456#395C2314yes—
457#395C2312yes—
458#395C2312yes—
459#395C2312yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2312yes—
464#395C2311yescharacteristic
465#395C2312yes—
466#395C2311yescharacteristic
467#395C2312yes—
468#395C2312yes—
469#395C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2311yescharacteristic
500#393C2312yes—
501#393C2314yes—
502#393C2314yes—
503#393C2312yes—
504#393C2314yes—
505#393C2312yes—
506#393C2311yescharacteristic
507#393C2312yes—
508#393C2312yes—
509#392C2312yes—
510#392C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2312yes—
521#392C2314yes—
522#392C2312yes—
523#392C2314yes—
524#392C2314yes—
525#392C2312yes—
526#392C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2314yes—
531#391C2314yes—
532#391C2311yescharacteristic
533#391C2314yes—
534#391C2314yes—
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2314yes—
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2314yes—
562#390C2314yes—
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#384C2312yes—
668#384C2312yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2314yes—
672#382C2312yes—
673#382C2311yescharacteristic
674#382C2311yescharacteristic
675#382C2311yescharacteristic
676#382C2311yescharacteristic
677#381C2314yes—
678#381C2312yes—
679#381C2312yes—
680#381C2314yes—
681#381C2314yes—
682#381C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2314yes—
686#380C2314yes—
687#380C2314yes—
688#380C2312yes—
689#380C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733#376C2311yescharacteristic
734#376C2314yes—
735#376C2311yescharacteristic
736#376C2312yes—
737#376C2312yes—
738C2×#95C2312yes—
739C43C2312yes—
740C43C2311yescharacteristic
741C43C2312yes—
742C43C2311yescharacteristic
743C2×#41—48no—
744C2×#41—44no—
745C22×Q8—48no—
746C22×Q8—44no—
747C22×Q8C2411yescharacteristic
748C22×Q8C2411yescharacteristic
749C22×Q8C2412yes—
750C22×Q8C2411yescharacteristic
751C22×Q8C2412yes—
752C22×Q8C2414yes—
753C22×Q8C2412yes—
754C22×D4C2411yescharacteristic
755C22×D4C2411yescharacteristic
756C22×D4C2411yescharacteristic
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2412yes—
774C23×C4C2411yescharacteristic
775C23×C4C2412yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2412yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C4⋊Q8—24no—
786C4⋊Q8—42no—
787C4⋊Q8—44no—
788C4⋊Q8—48no—
789#127—24no—
790#127—24no—
791#127—42no—
792#127—44no—
793#127—44no—
794#127—42no—
795#127—44no—
796#126—216no—
797#126—44no—
798#126—48no—
799#126—48no—
800#125—42no—
801#125—44no—
802#125—48no—
803#124—216no—
804#124—24no—
805#124—44no—
806#124—48no—
807#124—48no—
808#124—48no—
809#124—42no—
810#124—42no—
811#124—44no—
812#124—44no—
813#124—48no—
814#124—48no—
815#123—48no—
816#123—48no—
817#123—48no—
818#123—44no—
819#123—44no—
820#123—44no—
821#123—48no—
822#123—48no—
823#123—48no—
824C22⋊Q8—48no—
825C22⋊Q8—48no—
826C22⋊Q8—48no—
827C22⋊Q8—48no—
828C22⋊Q8—48no—
829C22⋊Q8—48no—
830C22⋊Q8—48no—
831C22⋊Q8—44no—
832C22⋊Q8—42no—
833C22⋊Q8—48no—
834C22⋊Q8—44no—
835C22⋊Q8—44no—
836#121—48no—
837#121—44no—
838#121—44no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—48no—
845#121—48no—
846#121—48no—
847#121—48no—
848#121—48no—
849#121—44no—
850#121—48no—
851#121—42no—
852#121—42no—
853#121—42no—
854#121—48no—
855#121—44no—
856C4×Q8—28no—
857C4×Q8—24no—
858C4×Q8—28no—
859C4×Q8—24no—
860C4×Q8—24no—
861C4×Q8—44no—
862C4×Q8—44no—
863C4×Q8—44no—
864C4×Q8—44no—
865C4×D4—24no—
866C4×D4—24no—
867C4×D4—24no—
868C4×D4—216no—
869C4×D4—28no—
870C4×D4—48no—
871C4×D4—48no—
872C4×D4—48no—
873C4×D4—48no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4—44no—
880C4×D4—48no—
881C4×D4—48no—
882#117—24no—
883#117—28no—
884#117—42no—
885#117—44no—
886#117—48no—
887C2×C4⋊C4—48no—
888C2×C4⋊C4—44no—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2411yescharacteristic
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C42—24no—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035#95C2411yescharacteristic
1036#95C2412yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2411yescharacteristic
1055#95C2414yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2411yescharacteristic
1063#95C2412yes—
1064#95C2412yes—
1065#95C2411yescharacteristic
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087C24C2512yes—
1088C24C2512yes—
1089C24C2514yes—
1090C24C2511yescharacteristic
1091C24C2512yes—
1092#41—816no—
1093C2×Q8—24no—
1094C2×Q8—22no—
1095C2×Q8—24no—
1096C2×Q8—22no—
1097C2×Q8—22no—
1098C2×Q8—24no—
1099C2×Q8—28no—
1100C2×Q8—22no—
1101C2×Q8—22no—
1102C2×Q8—24no—
1103C2×Q8—42no—
1104C2×Q8—42no—
1105C2×Q8—44no—
1106C2×Q8—44no—
1107C2×Q8—44no—
1108C2×Q8—42no—
1109C2×Q8—44no—
1110C2×Q8—816no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—24no—
1115C2×D4—28no—
1116C2×D4—24no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—28no—
1124C2×D4—22no—
1125C2×D4—24no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—28no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C22×C4—24no—
1165C22×C4—22no—
1166C22×C4—24no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—24no—
1170C22×C4—28no—
1171C22×C4—28no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—28no—
1175C22×C4—28no—
1176C22×C4—42no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4C2512yes—
1195C22×C4C2514yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C4⋊C4—24no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—28no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—28no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—28no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C22⋊C4—22no—
1280C22⋊C4—24no—
1281C22⋊C4—24no—
1282C22⋊C4—22no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—24no—
1287C22⋊C4—24no—
1288C22⋊C4—24no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—24no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
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—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C42—24no—
1338C42—22no—
1339C42—24no—
1340C42—24no—
1341C42—24no—
1342C42—24no—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—22no—
1347C42—24no—
1348C42—24no—
1349C42—22no—
1350C42—22no—
1351C42—24no—
1352C42—24no—
1353C42—42no—
1354C42—44no—
1355C42—44no—
1356C42—42no—
1357C42—42no—
1358C42—42no—
1359C42—42no—
1360C42—44no—
1361C42—44no—
1362C42H(5,𝔽2)14yes—
1363C42H(5,𝔽2)18yes—
1364C422−1+414yes—
1365C23—24no—
1366C23—24no—
1367C23—24no—
1368C23—22no—
1369C23—21no—
1370C23—22no—
1371C23—22no—
1372C23—24no—
1373C23—24no—
1374C23—22no—
1375C23—24no—
1376C23—22no—
1377C23—24no—
1378C23—21no—
1379C23—22no—
1380C23—22no—
1381C23—24no—
1382C23—22no—
1383C23—24no—
1384C23—21no—
1385C23—22no—
1386C23—24no—
1387C23—24no—
1388C23—22no—
1389C23—24no—
1390C23—24no—
1391C23—22no—
1392C23C2611yescharacteristic
1393Q8—28no—
1394Q8—48no—
1395Q8—44no—
1396Q8—44no—
1397Q8—84no—
1398Q8—88no—
1399Q8—162no—
1400D4—44no—
1401D4—44no—
1402D4—44no—
1403D4—48no—
1404D4—88no—
1405D4—88no—
1406D4—88no—
1407D4—84no—
1408D4—84no—
1409D4—88no—
1410D4—88no—
1411D4—88no—
1412D4—88no—
1413D4—88no—
1414D4—162no—
1415D4—162no—
1416D4—162no—
1417D4—162no—
1418D4—162no—
1419D4—164no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
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—24no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—21no—
1457C2×C4—24no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—24no—
1480C2×C4—48no—
1481C2×C4—44no—
1482C2×C4—88no—
1483C2×C4—88no—
1484C2×C4—84no—
1485C2×C4—88no—
1486C2×C4—84no—
1487C2×C4—88no—
1488C2×C4—84no—
1489C2×C4—164no—
1490C2×C4—164no—
1491C2×C4C2×H(5,𝔽2)14yes—
1492C2×C4C2×H(5,𝔽2)12yes—
1493C2×C4C2×H(5,𝔽2)14yes—
1494C2×C4C2×H(5,𝔽2)14yes—
1495C2×C4C2×H(5,𝔽2)12yes—
1496C2×C4C2×H(5,𝔽2)12yes—
1497C2×C4C2×2−1+414yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4#58514yes—
1500C2×C4#58512yes—
1501C22—44no—
1502C22—44no—
1503C22—44no—
1504C22—44no—
1505C22—44no—
1506C22—42no—
1507C22—41no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—44no—
1512C22—42no—
1513C22—44no—
1514C22—42no—
1515C22—42no—
1516C22—41no—
1517C22—42no—
1518C22—44no—
1519C22—44no—
1520C22—44no—
1521C22—44no—
1522C22—44no—
1523C22—42no—
1524C22—44no—
1525C22—42no—
1526C22—41no—
1527C22—42no—
1528C22C22×H(5,𝔽2)12yes—
1529C22C22×H(5,𝔽2)11yescharacteristic
1530C22C22×2−1+411yescharacteristic
1531C22C2×#58511yescharacteristic
1532C22C2×#58512yes—
1533C4—24no—
1534C4—24no—
1535C4—22no—
1536C4—24no—
1537C4—24no—
1538C4—24no—
1539C4—22no—
1540C4—44no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—42no—
1545C4—41no—
1546C4—42no—
1547C4—42no—
1548C4—44no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—41no—
1553C4—44no—
1554C4—42no—
1555C4—41no—
1556C4—42no—
1557C4—42no—
1558C4#354714yes—
1559C2—82no—
1560C2—82no—
1561C2—84no—
1562C2—81no—
1563C2—82no—
1564C2#6274812yes—
1565C2C2×#354711yescharacteristic
1566C2#6283211yescharacteristic
1567C2#6283512yes—
1568C2#6283611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52973C2semidirect
2. #52964C2semidirect
3. #52813C2semidirect
4. #52553C2semidirect
5. #45437C2semidirect
6. #45434C2semidirect
7. #45357C2semidirect
8. #45354C2semidirect
9. #44842C2semidirect
10. #44770C2semidirect
11. #42881C2semidirect
12. #42651C2semidirect
13. #42529C2semidirect
14. #42499C2semidirect
15. #42427C2semidirect
16. #42425C2semidirect
17. #42271C2semidirect
18. #42172C2semidirect
19. #42060C2semidirect
20. #42030C2semidirect
21. #36496C2semidirect
22. #36472C2semidirect
23. #36465C2semidirect
24. #36403C2semidirect
25. #36373C2semidirect
26. #36370C2semidirect
27. #35276C2semidirect
28. #35268C2semidirect
29. #35198C2semidirect
30. #35186C2semidirect
31. #34552C2semidirect

Maximal subgroups

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

subgroupindex
#529732
#529642
#528132
#525532
#454372
#454342
#453572
#453542
#448422
#447702
#428812
#426512
#425292
#424992
#424272
#424252
#422712
#421722
#420602
#420302
#364962
#364722
#364652
#364032
#363732
#363702
#352762
#352682
#351982
#351862
#345522