Finite Group Databasebeta

← #8399188

Subgroups — #8399188

Order 512.

5157 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59305C212yesmaximal, complemented
2#59304C212yesmaximal, complemented
3#55133C214yesmaximal, complemented
4#53437C214yesmaximal, complemented
5#51593C214yesmaximal, complemented
6#51168C214yesmaximal, complemented
7#48508C214yesmaximal, complemented
8#47842C214yesmaximal, complemented
9#45632C212yesmaximal, complemented
10#45608C212yesmaximal, complemented
11#45356C211yesmaximal, characteristic, complemented
12#45356C211yesmaximal, characteristic, complemented
13#45350C211yesmaximal, characteristic, complemented
14#45083C211yesmaximal, characteristic, complemented
15#44206C214yesmaximal, complemented
16#43108C214yesmaximal, complemented
17#42794C211yesmaximal, characteristic, complemented
18#42428C211yesmaximal, characteristic, complemented
19#40103C212yesmaximal, complemented
20#40054C212yesmaximal, complemented
21#39604C212yesmaximal, complemented
22#39348C212yesmaximal, complemented
23#37320C211yesmaximal, characteristic, complemented
24#36509C211yesmaximal, characteristic, complemented
25#36498C211yesmaximal, characteristic, complemented
26#36180C211yesmaximal, characteristic, complemented
27#36179C211yesmaximal, characteristic, complemented
28#35701C211yesmaximal, characteristic, complemented
29#35693C211yesmaximal, characteristic, complemented
30#35535C211yesmaximal, characteristic, complemented
31#34967C211yesmaximal, characteristic, complemented
32C2×#554C2211yescharacteristic
33C2×#554C2211yescharacteristic
34C2×#553C2214yes—
35C2×#547C2211yescharacteristic
36C2×#547C2211yescharacteristic
37C2×#547C2214yes—
38C2×#542C2211yescharacteristic
39C2×#539C2214yes—
40C2×#520C2211yescharacteristic
41#2868C2211yescharacteristic
42#2864C2211yescharacteristic
43#2857C2212yes—
44#2856C2212yes—
45#2855C2212yes—
46#2854C2212yes—
47#2837C2214yes—
48#2829C2214yes—
49#2820C2212yes—
50#2814C2212yes—
51#2807C2214yes—
52#2797C2214yes—
53#2794C2214yes—
54#2792C2214yes—
55#2791C2214yes—
56#2790C2214yes—
57#2790C2214yes—
58#2790C2214yes—
59#2780C2214yes—
60#2773C2214yes—
61#2773C2214yes—
62#2748C2214yes—
63#2748C2214yes—
64#2740C2214yes—
65#2738C2214yes—
66#2732C2214yes—
67#2732C2214yes—
68#2721C2214yes—
69#2721C2214yes—
70#2720C2214yes—
71#2720C2214yes—
72#2718C2214yes—
73#2718C2214yes—
74#2718C2214yes—
75#2716C2214yes—
76#2714C2214yes—
77#2713C2214yes—
78#2707C2214yes—
79#2706C2214yes—
80#2705C2214yes—
81#2705C2214yes—
82#2703C2214yes—
83#2701C2214yes—
84#2699C2214yes—
85#2698C2214yes—
86#2695C2214yes—
87#2694C2214yes—
88#2694C2214yes—
89#2693C2214yes—
90#2691C2214yes—
91#2690C2214yes—
92#2688C2214yes—
93#2683C2214yes—
94#2681C2214yes—
95#2680C2214yes—
96#2675C2214yes—
97#2672C2214yes—
98#2671C2214yes—
99#2667C2214yes—
100#2664C2212yes—
101#2659C2212yes—
102#2651C2214yes—
103#2638C2212yes—
104#2636C2212yes—
105#2633C2212yes—
106#2628C2211yescharacteristic
107#2628C2211yescharacteristic
108#2627C2214yes—
109#2623C2214yes—
110#2616C2212yes—
111#2611C2214yes—
112#2611C2212yes—
113#2598C2212yes—
114#2597C2214yes—
115#2590C2214yes—
116#2583C2212yes—
117#2579C2214yes—
118#2579C2214yes—
119#2567C2211yescharacteristic
120#2567C2211yescharacteristic
121#2567C2211yescharacteristic
122#2566C2214yes—
123#2556C2214yes—
124#2552C2212yes—
125#2552C2212yes—
126#2552C2214yes—
127#2545C2211yescharacteristic
128#2544C2211yescharacteristic
129#2542C2211yescharacteristic
130#2542C2211yescharacteristic
131#2542C2214yes—
132#2542C2211yescharacteristic
133#2540C2212yes—
134#2540C2212yes—
135#2540C2212yes—
136#2538C2212yes—
137#2537C2212yes—
138#2536C2211yescharacteristic
139#2536C2211yescharacteristic
140#2535C2211yescharacteristic
141#2535C2211yescharacteristic
142#2522C2212yes—
143#2522C2212yes—
144#2519C2214yes—
145#2516C2212yes—
146#2516C2212yes—
147#2515C2214yes—
148#2512C2212yes—
149#2511C2212yes—
150#2507C2212yes—
151#2507C2214yes—
152#2506C2212yes—
153#2502C2212yes—
154#2502C2212yes—
155#2502C2211yescharacteristic
156#2501C2212yes—
157#2501C2214yes—
158#2501C2212yes—
159#2501C2214yes—
160#2501C2211yescharacteristic
161#2497C2212yes—
162#2497C2212yes—
163#2496C2212yes—
164#2496C2212yes—
165#2487C2214yes—
166#2479C2214yes—
167#2476C2214yes—
168#2473C2214yes—
169#2470C2214yes—
170#2466C2214yes—
171#2464C2212yes—
172#2464C2214yes—
173#2464C2212yes—
174#2463C2214yes—
175#2461C2214yes—
176#2457C2214yes—
177#2457C2214yes—
178#2457C2212yes—
179#2457C2212yes—
180#2456C2214yes—
181#2456C2214yes—
182#2456C2214yes—
183#2455C2214yes—
184#2455C2214yes—
185#2454C2214yes—
186#2449C2214yes—
187#2449C2214yes—
188#2449C2214yes—
189#2449C2214yes—
190#2448C2212yes—
191#2447C2212yes—
192#2443C2214yes—
193#2443C2214yes—
194#2443C2214yes—
195#2442C2214yes—
196#2441C2214yes—
197#2440C2212yes—
198#2440C2214yes—
199#2440C2214yes—
200#2440C2212yes—
201#2438C2214yes—
202#2432C2211yescharacteristic
203#2431C2211yescharacteristic
204#2430C2212yes—
205#2429C2212yes—
206#2428C2212yes—
207#2427C2212yes—
208#2426C2212yes—
209#2423C2212yes—
210#2422C2214yes—
211#2422C2212yes—
212#2417C2212yes—
213#2417C2212yes—
214#2417C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2416C2212yes—
218#2407C2212yes—
219#2407C2212yes—
220#2407C2214yes—
221#2407C2214yes—
222#2406C2212yes—
223#2402C2211yescharacteristic
224#2397C2211yescharacteristic
225#2397C2212yes—
226#2392C2211yescharacteristic
227#2392C2211yescharacteristic
228#2388C2212yes—
229#2377C2214yes—
230#2376C2214yes—
231#2373C2214yes—
232#2364C2214yes—
233#2361C2214yes—
234#2361C2212yes—
235#2360C2212yes—
236#2357C2211yescharacteristic
237#2356C2211yescharacteristic
238#2355C2212yes—
239#2354C2212yes—
240#2351C2211yescharacteristic
241#2349C2211yescharacteristic
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2214yes—
245D4×C4⋊C4C2212yes—
246D4×C4⋊C4C2212yes—
247#2335C2214yes—
248#2331C2211yescharacteristic
249#2331C2211yescharacteristic
250#2326C2211yescharacteristic
251#2326C2211yescharacteristic
252#2324C2214yes—
253#2322C2214yes—
254C4×C4⋊Q8C2211yescharacteristic
255C4×#127C2211yescharacteristic
256C4×C22⋊Q8C2212yes—
257C4×#123C2212yes—
258C4×#123C2212yes—
259C4×#121C2212yes—
260C4×#121C2212yes—
261C4×#121C2212yes—
262#2298C2211yescharacteristic
263C2×#384C2212yes—
264C2×#384C2212yes—
265C42×D4C2211yescharacteristic
266C42×D4C2211yescharacteristic
267C22×#41C2312yes—
268C22×#41C2312yes—
269C22×#41C2311yescharacteristic
270#554—44no—
271#554—44no—
272#553—416no—
273#547—44no—
274#547—44no—
275#547—416no—
276#542—44no—
277#539—416no—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2311yescharacteristic
282C2×C4⋊Q8C2314yes—
283C2×#127C2311yescharacteristic
284C2×#126C2314yes—
285C2×#126C2312yes—
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#125C2312yes—
289C2×#125C2314yes—
290C2×#125C2312yes—
291C2×#125C2314yes—
292C2×#125C2314yes—
293C2×#124C2312yes—
294C2×#124C2311yescharacteristic
295C2×#124C2311yescharacteristic
296C2×#124C2311yescharacteristic
297C2×#123C2312yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2312yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2312yes—
308C2×#123C2314yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2312yes—
335C2×#121C2311yescharacteristic
336C2×#121C2314yes—
337C2×#121C2314yes—
338#520—44no—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2314yes—
368C2×#117C2312yes—
369C22×C4⋊C4C2314yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2314yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2314yes—
378C22×C4⋊C4C2314yes—
379C22×C42C2312yes—
380C22×C42C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#399C2312yes—
393#399C2312yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2312yes—
398#399C2312yes—
399#399C2312yes—
400#399C2314yes—
401#399C2312yes—
402#399C2314yes—
403#399C2312yes—
404#399C2312yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2311yescharacteristic
418#398C2312yes—
419#398C2312yes—
420#398C2311yescharacteristic
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#397C2311yescharacteristic
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2311yescharacteristic
445#397C2314yes—
446#397C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#395C2314yes—
464#395C2312yes—
465#395C2312yes—
466#395C2314yes—
467#395C2312yes—
468#395C2312yes—
469#395C2312yes—
470#395C2312yes—
471#395C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2311yescharacteristic
479#394C2311yescharacteristic
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2312yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#393C2312yes—
492#393C2312yes—
493#392C2314yes—
494#392C2312yes—
495#392C2312yes—
496#392C2311yescharacteristic
497#392C2314yes—
498#392C2311yescharacteristic
499#392C2312yes—
500#392C2314yes—
501#392C2312yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2312yes—
510#391C2311yescharacteristic
511#391C2314yes—
512#391C2314yes—
513#391C2312yes—
514#390C2314yes—
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
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#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#386C2314yes—
616#386C2312yes—
617#386C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2312yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
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#385C2312yes—
666#385C2312yes—
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2314yes—
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2312yes—
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2314yes—
678#384C2314yes—
679#384C2314yes—
680#384C2312yes—
681#384C2314yes—
682#383C2312yes—
683#382C2312yes—
684#382C2314yes—
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#381C2314yes—
688#381C2312yes—
689#381C2312yes—
690#381C2312yes—
691#381C2314yes—
692#380C2314yes—
693#380C2314yes—
694#380C2314yes—
695#380C2312yes—
696#380C2312yes—
697#380C2314yes—
698#380C2314yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2312yes—
708#380C2312yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2311yescharacteristic
736C4×C22⋊C4C2311yescharacteristic
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739#376C2311yescharacteristic
740#376C2312yes—
741C2×#95C2312yes—
742C43C2311yescharacteristic
743C2×#41—48no—
744C2×#41—48no—
745C2×#41—42no—
746C2×#41—42no—
747C2×#41—42no—
748C2×#41—44no—
749C2×#41—44no—
750C22×Q8C2411yescharacteristic
751C22×Q8C2411yescharacteristic
752C22×Q8C2412yes—
753C22×Q8C2412yes—
754C22×Q8C2412yes—
755C22×D4C2411yescharacteristic
756C22×D4C2411yescharacteristic
757C22×D4C2411yescharacteristic
758C22×D4C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2411yescharacteristic
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2412yes—
780C23×C4C2414yes—
781C23×C4C2412yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C4⋊Q8—24no—
788C4⋊Q8—24no—
789C4⋊Q8—42no—
790C4⋊Q8—48no—
791C4⋊Q8—42no—
792#127—42no—
793#126—216no—
794#126—44no—
795#126—48no—
796#126—48no—
797#125—48no—
798#125—44no—
799#125—44no—
800#125—48no—
801#125—48no—
802#124—44no—
803#124—42no—
804#124—42no—
805#124—42no—
806#123—28no—
807#123—216no—
808#123—216no—
809#123—28no—
810#123—48no—
811#123—48no—
812#123—48no—
813#123—48no—
814#123—48no—
815#123—48no—
816#123—48no—
817#123—44no—
818C22⋊Q8—48no—
819C22⋊Q8—48no—
820C22⋊Q8—48no—
821C22⋊Q8—48no—
822C22⋊Q8—48no—
823C22⋊Q8—48no—
824C22⋊Q8—48no—
825C22⋊Q8—44no—
826C22⋊Q8—44no—
827C22⋊Q8—44no—
828C22⋊Q8—42no—
829C22⋊Q8—44no—
830C22⋊Q8—44no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833#121—28no—
834#121—28no—
835#121—216no—
836#121—48no—
837#121—48no—
838#121—48no—
839#121—48no—
840#121—48no—
841#121—44no—
842#121—44no—
843#121—42no—
844#121—44no—
845#121—44no—
846#121—48no—
847C4×Q8—24no—
848C4×Q8—24no—
849C4×Q8—44no—
850C4×Q8—42no—
851C4×D4—28no—
852C4×D4—28no—
853C4×D4—24no—
854C4×D4—24no—
855C4×D4—24no—
856C4×D4—24no—
857C4×D4—44no—
858C4×D4—48no—
859C4×D4—48no—
860C4×D4—44no—
861C4×D4—42no—
862C4×D4—48no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—44no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—48no—
871C4×D4—48no—
872C4×D4—48no—
873C4×D4—48no—
874#117—24no—
875#117—44no—
876#117—48no—
877C2×C4⋊C4—42no—
878C2×C4⋊C4—44no—
879C2×C4⋊C4—48no—
880C2×C4⋊C4—44no—
881C2×C4⋊C4—44no—
882C2×C4⋊C4—48no—
883C2×C4⋊C4—48no—
884C2×C4⋊C4—44no—
885C2×C4⋊C4—44no—
886C2×C4⋊C4—48no—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2411yescharacteristic
955C2×C22⋊C4C2411yescharacteristic
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C42—44no—
1010C2×C42—44no—
1011C2×C42C2412yes—
1012C2×C42C2414yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033#95C2411yescharacteristic
1034#95C2412yes—
1035#95C2414yes—
1036#95C2411yescharacteristic
1037#95C2412yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2411yescharacteristic
1042#95C2412yes—
1043#95C2412yes—
1044#95C2411yescharacteristic
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087C24C2512yes—
1088C24C2511yescharacteristic
1089C24C2512yes—
1090C24C2512yes—
1091C24C2512yes—
1092#41—416no—
1093#41—816no—
1094#41—816no—
1095C2×Q8—22no—
1096C2×Q8—22no—
1097C2×Q8—24no—
1098C2×Q8—24no—
1099C2×Q8—22no—
1100C2×Q8—22no—
1101C2×Q8—22no—
1102C2×Q8—22no—
1103C2×Q8—44no—
1104C2×Q8—44no—
1105C2×Q8—44no—
1106C2×Q8—42no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—28no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
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—42no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—28no—
1152C22×C4—28no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—22no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—28no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
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—42no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4C2511yescharacteristic
1197C22×C4C2514yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—28no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—24no—
1291C22⋊C4—24no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—24no—
1295C22⋊C4—28no—
1296C22⋊C4—24no—
1297C22⋊C4—24no—
1298C22⋊C4—24no—
1299C22⋊C4—24no—
1300C22⋊C4—24no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—28no—
1308C22⋊C4—24no—
1309C22⋊C4—42no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
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—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4H(5,𝔽2)18yes—
1343C22⋊C42−1+418yes—
1344C42—22no—
1345C42—24no—
1346C42—28no—
1347C42—24no—
1348C42—24no—
1349C42—24no—
1350C42—22no—
1351C42—22no—
1352C42—24no—
1353C42—24no—
1354C42—22no—
1355C42—22no—
1356C42—42no—
1357C42—42no—
1358C42—42no—
1359C42—42no—
1360C42—42no—
1361C42—44no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42H(5,𝔽2)14yes—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—24no—
1379C23—21no—
1380C23—24no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—24no—
1386C23—24no—
1387C23—22no—
1388C23—21no—
1389C23—21no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23C2×H(5,𝔽2)14yes—
1394C23C2×2−1+414yes—
1395C23C2611yescharacteristic
1396Q8—44no—
1397Q8—44no—
1398Q8—84no—
1399Q8—84no—
1400Q8—162no—
1401D4—28no—
1402D4—28no—
1403D4—48no—
1404D4—48no—
1405D4—48no—
1406D4—48no—
1407D4—48no—
1408D4—44no—
1409D4—44no—
1410D4—88no—
1411D4—88no—
1412D4—88no—
1413D4—88no—
1414D4—88no—
1415D4—162no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—24no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
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—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—48no—
1478C2×C4—48no—
1479C2×C4—48no—
1480C2×C4—48no—
1481C2×C4—48no—
1482C2×C4—48no—
1483C2×C4—48no—
1484C2×C4—44no—
1485C2×C4—88no—
1486C2×C4—84no—
1487C2×C4—84no—
1488C2×C4—88no—
1489C2×C4—88no—
1490C2×C4—162no—
1491C2×C4—164no—
1492C2×C4—164no—
1493C2×C4—162no—
1494C2×C4C2×H(5,𝔽2)12yes—
1495C2×C4C2×H(5,𝔽2)14yes—
1496C2×C4C2×H(5,𝔽2)14yes—
1497C2×C4C2×H(5,𝔽2)12yes—
1498C2×C4C2×H(5,𝔽2)12yes—
1499C2×C4C2×2−1+414yes—
1500C2×C4C2×2−1+414yes—
1501C2×C4#58512yes—
1502C2×C4#58512yes—
1503C22—24no—
1504C22—24no—
1505C22—24no—
1506C22—24no—
1507C22—24no—
1508C22—24no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—41no—
1519C22—42no—
1520C22—44no—
1521C22—42no—
1522C22—42no—
1523C22—44no—
1524C22—44no—
1525C22—44no—
1526C22—42no—
1527C22—42no—
1528C22—41no—
1529C22—41no—
1530C22—42no—
1531C22—42no—
1532C22C22×H(5,𝔽2)11yescharacteristic
1533C22C22×H(5,𝔽2)12yes—
1534C22C22×2−1+412yes—
1535C22C2×#58511yescharacteristic
1536C22C2×#58511yescharacteristic
1537C4—24no—
1538C4—24no—
1539C4—24no—
1540C4—24no—
1541C4—22no—
1542C4—22no—
1543C4—42no—
1544C4—42no—
1545C4—41no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—44no—
1551C4—42no—
1552C4—42no—
1553C4—44no—
1554C4—42no—
1555C4—42no—
1556C4—44no—
1557C4—44no—
1558C4—42no—
1559C4—42no—
1560C4—41no—
1561C4—41no—
1562C4#353914yes—
1563C2—44no—
1564C2—44no—
1565C2—81no—
1566C2—82no—
1567C2—82no—
1568C2C2×#353911yescharacteristic
1569C2#6283211yescharacteristic
1570C2#6283311yescharacteristic
1571C2#6301312yes—
1572C2#6301312yes—
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. #59305C2semidirect
2. #59304C2semidirect
3. #55133C2semidirect
4. #53437C2semidirect
5. #51593C2semidirect
6. #51168C2semidirect
7. #48508C2semidirect
8. #47842C2semidirect
9. #45632C2semidirect
10. #45608C2semidirect
11. #45356C2semidirect
12. #45356C2semidirect
13. #45350C2semidirect
14. #45083C2semidirect
15. #44206C2semidirect
16. #43108C2semidirect
17. #42794C2semidirect
18. #42428C2semidirect
19. #40103C2semidirect
20. #40054C2semidirect
21. #39604C2semidirect
22. #39348C2semidirect
23. #37320C2semidirect
24. #36509C2semidirect
25. #36498C2semidirect
26. #36180C2semidirect
27. #36179C2semidirect
28. #35701C2semidirect
29. #35693C2semidirect
30. #35535C2semidirect
31. #34967C2semidirect

Maximal subgroups

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

subgroupindex
#593052
#593042
#551332
#534372
#515932
#511682
#485082
#478422
#456322
#456082
#453562
#453502
#450832
#442062
#431082
#427942
#424282
#401032
#400542
#396042
#393482
#373202
#365092
#364982
#361802
#361792
#357012
#356932
#355352
#349672