Finite Group Databasebeta

← #7643153

Subgroups — #7643153

Order 512.

5132 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#40214C212yesmaximal, complemented
2#40191C212yesmaximal, complemented
3#39830C212yesmaximal, complemented
4#39805C212yesmaximal, complemented
5#39790C212yesmaximal, complemented
6#39768C211yesmaximal, characteristic, complemented
7#39743C211yesmaximal, characteristic
8#39721C212yesmaximal, complemented
9#39702C212yesmaximal, complemented
10#39669C212yesmaximal, complemented
11#39662C212yesmaximal, complemented
12#39632C211yesmaximal, characteristic, complemented
13#39624C211yesmaximal, characteristic, complemented
14#39348C212yesmaximal, complemented
15#38886C214yesmaximal, complemented
16#37790C214yesmaximal, complemented
17#37267C212yesmaximal, complemented
18#37265C212yesmaximal, complemented
19#37263C214yesmaximal, complemented
20#36638C211yesmaximal, characteristic, complemented
21#36631C211yesmaximal, characteristic, complemented
22#35610C212yesmaximal, complemented
23#35606C212yesmaximal, complemented
24#35594C212yesmaximal, complemented
25#35535C212yesmaximal, complemented
26#35243C212yesmaximal, complemented
27#35060C214yesmaximal, complemented
28#35042C212yesmaximal, complemented
29#35004C212yesmaximal, complemented
30#34294C212yesmaximal, complemented
31C2×C4×C4⋊Q8C211yesmaximal, characteristic, complemented
32C2×#548C2212yes—
33C2×#542C2212yes—
34C2×#539C2214yes—
35C22×C4⋊Q8C2211yescharacteristic
36C2×#529C2212yes—
37C2×#520C2212yes—
38C22×C4×Q8C2211yescharacteristic
39C22×C4×Q8C2211yescharacteristic
40#2866C2212yes—
41#2865C2212yes—
42#2864C2211yescharacteristic
43#2863C2211yescharacteristic
44#2861C2212yes—
45#2861C2211yescharacteristic
46#2860C2212yes—
47#2860C2212yes—
48#2860C2211yescharacteristic
49#2859C2211yescharacteristic
50#2858C2211yescharacteristic
51#2857C2211yescharacteristic
52#2856C2211yescharacteristic
53#2855C2211yescharacteristic
54#2854C2212yes—
55#2854C2212yes—
56#2854C2211yescharacteristic
57#2853C2212yes—
58#2852C2212yes—
59#2852C2214yes—
60#2851C2211yescharacteristic
61#2850C2212yes—
62#2850C2211yescharacteristic
63#2850C2214yes—
64#2811C2212yes—
65#2808C2212yes—
66#2807C2214yes—
67#2806C2212yes—
68#2806C2214yes—
69#2806C2212yes—
70#2804C2212yes—
71#2804C2212yes—
72#2803C2214yes—
73#2792C2214yes—
74#2788C2214yes—
75#2780C2214yes—
76#2773C2214yes—
77#2768C2214yes—
78#2751C2214yes—
79#2733C2212yes—
80#2732C2212yes—
81#2731C2214yes—
82#2731C2214yes—
83#2730C2214yes—
84#2729C2214yes—
85#2729C2214yes—
86#2727C2214yes—
87#2726C2214yes—
88#2721C2214yes—
89#2721C2214yes—
90#2720C2214yes—
91#2720C2214yes—
92#2720C2214yes—
93#2718C2214yes—
94#2715C2214yes—
95#2710C2214yes—
96#2710C2214yes—
97#2695C2214yes—
98#2689C2214yes—
99#2680C2214yes—
100#2666C2214yes—
101#2662C2214yes—
102#2659C2212yes—
103#2656C2212yes—
104#2654C2214yes—
105#2651C2214yes—
106#2646C2212yes—
107#2639C2212yes—
108#2637C2214yes—
109#2632C2214yes—
110#2623C2214yes—
111#2618C2214yes—
112#2602C2214yes—
113#2597C2214yes—
114#2596C2214yes—
115#2596C2214yes—
116#2592C2212yes—
117#2591C2214yes—
118#2590C2214yes—
119#2589C2214yes—
120#2589C2214yes—
121#2587C2214yes—
122#2585C2214yes—
123#2583C2214yes—
124#2582C2212yes—
125#2579C2214yes—
126#2567C2212yes—
127#2556C2214yes—
128#2556C2214yes—
129#2554C2214yes—
130#2554C2214yes—
131#2552C2212yes—
132#2549C2214yes—
133#2545C2212yes—
134#2545C2212yes—
135#2544C2212yes—
136#2543C2214yes—
137#2542C2212yes—
138#2533C2214yes—
139#2532C2214yes—
140#2532C2214yes—
141#2529C2214yes—
142#2525C2214yes—
143#2520C2214yes—
144#2519C2214yes—
145#2519C2214yes—
146#2512C2212yes—
147#2511C2212yes—
148#2511C2212yes—
149#2506C2212yes—
150#2502C2212yes—
151#2501C2212yes—
152#2496C2212yes—
153#2492C2212yes—
154#2479C2214yes—
155#2479C2214yes—
156#2478C2214yes—
157#2478C2214yes—
158#2475C2214yes—
159#2474C2214yes—
160#2469C2214yes—
161#2468C2214yes—
162#2465C2214yes—
163#2461C2214yes—
164#2461C2214yes—
165#2461C2214yes—
166#2458C2214yes—
167#2455C2214yes—
168#2455C2214yes—
169#2453C2214yes—
170#2451C2212yes—
171#2451C2212yes—
172#2451C2212yes—
173#2450C2214yes—
174#2449C2214yes—
175#2449C2214yes—
176#2449C2214yes—
177#2449C2214yes—
178#2448C2212yes—
179#2448C2212yes—
180#2447C2212yes—
181#2446C2212yes—
182#2446C2212yes—
183#2444C2214yes—
184#2443C2214yes—
185#2443C2214yes—
186#2440C2212yes—
187#2440C2212yes—
188#2436C2212yes—
189#2432C2212yes—
190#2432C2212yes—
191#2431C2212yes—
192#2429C2212yes—
193#2429C2212yes—
194#2426C2212yes—
195#2423C2212yes—
196#2423C2212yes—
197#2422C2212yes—
198#2417C2212yes—
199#2416C2212yes—
200#2415C2214yes—
201#2413C2214yes—
202#2409C2212yes—
203#2407C2212yes—
204#2367C2212yes—
205#2367C2214yes—
206#2361C2212yes—
207#2361C2214yes—
208#2360C2214yes—
209#2360C2212yes—
210Q8×C4⋊C4C2212yes—
211D4×C4⋊C4C2214yes—
212D4×C4⋊C4C2212yes—
213#2341C2212yes—
214Q8×C22⋊C4C2212yes—
215#2337C2214yes—
216#2335C2214yes—
217#2334C2214yes—
218#2332C2214yes—
219#2329C2212yes—
220#2326C2212yes—
221#2326C2212yes—
222#2326C2214yes—
223#2325C2212yes—
224#2325C2212yes—
225#2325C2212yes—
226#2323C2212yes—
227#2323C2212yes—
228#2323C2214yes—
229#2322C2214yes—
230#2320C2212yes—
231C4×C4⋊Q8C2211yescharacteristic
232C4×C4⋊Q8C2212yes—
233C4×C4⋊Q8C2212yes—
234C4×C4⋊Q8C2212yes—
235C4×C4⋊Q8C2212yes—
236C4×C4⋊Q8C2212yes—
237C4×C4⋊Q8C2212yes—
238C4×C4⋊Q8C2212yes—
239C4×C4⋊Q8C2212yes—
240C4×#127C2211yescharacteristic
241C4×#125C2211yescharacteristic
242C4×#126C2212yes—
243C4×#124C2212yes—
244C4×#124C2211yescharacteristic
245C4×C22⋊Q8C2211yescharacteristic
246C4×#123C2212yes—
247C4×#121C2212yes—
248C4×#121C2212yes—
249C4×#121C2211yescharacteristic
250C4×#121C2214yes—
251#2298C2212yes—
252#2295C2211yescharacteristic
253C2×#391C2211yescharacteristic
254C2×#391C2211yescharacteristic
255#2293C2211yescharacteristic
256#2293C2212yes—
257#2293C2212yes—
258C2×#389C2212yes—
259C2×#389C2212yes—
260#2290C2212yes—
261#2290C2214yes—
262C2×#384C2211yescharacteristic
263#2276C2212yes—
264C2×C4×C4⋊C4C2212yes—
265C2×C4×C4⋊C4C2212yes—
266C2×C43C2211yescharacteristic
267C22×#41C2312yes—
268C23×Q8C2311yescharacteristic
269C23×Q8C2311yescharacteristic
270#548—216no—
271#542—48no—
272#539—416no—
273C2×C4⋊Q8—28no—
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2312yes—
280C2×#127C2311yescharacteristic
281#529—48no—
282C2×#126C2312yes—
283C2×#126C2314yes—
284C2×#126C2314yes—
285C2×#126C2314yes—
286C2×#126C2314yes—
287C2×#125C2311yescharacteristic
288C2×#125C2312yes—
289C2×#125C2314yes—
290C2×#125C2314yes—
291C2×#124C2312yes—
292C2×#124C2314yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2311yescharacteristic
296C2×#124C2314yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#123C2314yes—
300C2×#123C2312yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2314yes—
316C2×#121C2311yescharacteristic
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323#520—48no—
324C2×C4×Q8—44no—
325C2×C4×Q8—44no—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×#117C2312yes—
352C2×#117C2314yes—
353C2×#117C2314yes—
354C22×C4⋊C4C2312yes—
355C22×C4⋊C4C2312yes—
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2314yes—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2312yes—
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#399C2314yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2314yes—
467#391C2312yes—
468#391C2314yes—
469#391C2312yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2314yes—
476#391C2314yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2311yescharacteristic
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2314yes—
485#390C2312yes—
486#390C2314yes—
487#390C2312yes—
488#390C2311yescharacteristic
489#390C2312yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2314yes—
538#389C2311yescharacteristic
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2312yes—
642#386C2312yes—
643#386C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
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#385C2312yes—
668#385C2314yes—
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2314yes—
677#384C2312yes—
678#383C2312yes—
679#383C2314yes—
680#382C2311yescharacteristic
681#382C2314yes—
682#382C2312yes—
683#382C2311yescharacteristic
684#381C2312yes—
685#381C2314yes—
686#380C2312yes—
687#380C2314yes—
688#380C2312yes—
689#380C2314yes—
690#380C2311yescharacteristic
691#380C2311yescharacteristic
692#380C2312yes—
693#380C2314yes—
694#380C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2312yes—
728#376C2312yes—
729#376C2314yes—
730C2×#95C2312yes—
731C2×#95C2312yes—
732C2×#95C2312yes—
733C2×#95C2312yes—
734C43C2311yescharacteristic
735C43C2311yescharacteristic
736C43C2311yescharacteristic
737C43C2311yescharacteristic
738C43C2311yescharacteristic
739C43C2311yescharacteristic
740C43C2311yescharacteristic
741C43C2311yescharacteristic
742C2×#41—28no—
743C2×#41—44no—
744C2×#41—44no—
745C22×Q8—24no—
746C22×Q8—42no—
747C22×Q8—42no—
748C22×Q8—42no—
749C22×Q8—42no—
750C22×Q8#4118yes—
751C22×Q8C2412yes—
752C22×Q8C2412yes—
753C22×Q8C2412yes—
754C22×Q8C2412yes—
755C22×Q8C2411yescharacteristic
756C22×Q8C2414yes—
757C22×Q8C2412yes—
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2412yes—
763C22×D4C2411yescharacteristic
764C22×D4C2412yes—
765C22×D4C2414yes—
766C23×C4C2411yescharacteristic
767C23×C4C2412yes—
768C23×C4C2411yescharacteristic
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2412yes—
781C23×C4C2411yescharacteristic
782C4⋊Q8—28no—
783C4⋊Q8—28no—
784C4⋊Q8—28no—
785C4⋊Q8—28no—
786C4⋊Q8—42no—
787C4⋊Q8—44no—
788#127—42no—
789#126—28no—
790#126—48no—
791#126—48no—
792#126—48no—
793#126—48no—
794#125—42no—
795#125—44no—
796#125—48no—
797#125—48no—
798#124—28no—
799#124—216no—
800#124—28no—
801#124—42no—
802#124—44no—
803#124—48no—
804#124—44no—
805#124—44no—
806#123—216no—
807#123—28no—
808#123—48no—
809#123—48no—
810#123—48no—
811#123—48no—
812C22⋊Q8—28no—
813C22⋊Q8—216no—
814C22⋊Q8—24no—
815C22⋊Q8—44no—
816C22⋊Q8—48no—
817C22⋊Q8—48no—
818C22⋊Q8—48no—
819C22⋊Q8—48no—
820C22⋊Q8—48no—
821C22⋊Q8—44no—
822C22⋊Q8—44no—
823#121—28no—
824#121—216no—
825#121—24no—
826#121—28no—
827#121—44no—
828#121—44no—
829#121—48no—
830C4×Q8—28no—
831C4×Q8—28no—
832C4×Q8—28no—
833C4×Q8—44no—
834C4×Q8—44no—
835C4×Q8—42no—
836C4×Q8—44no—
837C4×Q8—44no—
838C4×Q8—44no—
839C4×Q8—44no—
840C4×Q8—44no—
841C4×Q8—44no—
842C4×Q8—44no—
843C4×D4—28no—
844C4×D4—216no—
845C4×D4—28no—
846C4×D4—44no—
847C4×D4—48no—
848C4×D4—44no—
849C4×D4—44no—
850C4×D4—42no—
851C4×D4—48no—
852C4×D4—48no—
853C4×D4—48no—
854C4×D4—48no—
855#117—28no—
856#117—48no—
857#117—48no—
858C2×C4⋊C4—28no—
859C2×C4⋊C4—28no—
860C2×C4⋊C4—28no—
861C2×C4⋊C4—44no—
862C2×C4⋊C4—42no—
863C2×C4⋊C4—44no—
864C2×C4⋊C4—42no—
865C2×C4⋊C4—44no—
866C2×C4⋊C4—48no—
867C2×C4⋊C4—44no—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C42—24no—
974C2×C42—24no—
975C2×C42—24no—
976C2×C42—24no—
977C2×C42—24no—
978C2×C42—44no—
979C2×C42—44no—
980C2×C42—42no—
981C2×C42—42no—
982C2×C42C2411yescharacteristic
983C2×C42C2414yes—
984C2×C42C2412yes—
985C2×C42C2411yescharacteristic
986C2×C42C2411yescharacteristic
987C2×C42C2412yes—
988C2×C42C2414yes—
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992C2×C42C2411yescharacteristic
993C2×C42C2414yes—
994C2×C42C2412yes—
995C2×C42C2411yescharacteristic
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081C24C2512yes—
1082C24C2514yes—
1083C24C2511yescharacteristic
1084#41—432no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—24no—
1088C2×Q8—24no—
1089C2×Q8—22no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—24no—
1093C2×Q8—42no—
1094C2×Q8—42no—
1095C2×Q8—42no—
1096C2×Q8—42no—
1097C2×Q8—42no—
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×Q8—42no—
1101C2×Q8—44no—
1102C2×Q8—44no—
1103C2×Q8—44no—
1104C2×Q8—416no—
1105C2×Q8—416no—
1106C2×Q8C2×#4118yes—
1107C2×Q8C2×#4118yes—
1108C2×D4—24no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—22no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—24no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—28no—
1148C22×C4—24no—
1149C22×C4—22no—
1150C22×C4—24no—
1151C22×C4—22no—
1152C22×C4—24no—
1153C22×C4—28no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—44no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—44no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4C2×#4114yes—
1177C22×C4C2×#4118yes—
1178C22×C4H(5,𝔽2)14yes—
1179C22×C42−1+414yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2514yes—
1185C22×C4C2512yes—
1186C22×C4C2514yes—
1187C22×C4C2514yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2514yes—
1192C22×C4C2514yes—
1193C22×C4C2514yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2514yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C4⋊C4—28no—
1209C4⋊C4—28no—
1210C4⋊C4—28no—
1211C4⋊C4—28no—
1212C4⋊C4—24no—
1213C4⋊C4—28no—
1214C4⋊C4—28no—
1215C4⋊C4—24no—
1216C4⋊C4—28no—
1217C4⋊C4—28no—
1218C4⋊C4—24no—
1219C4⋊C4—28no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—28no—
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—42no—
1248C4⋊C4—41no—
1249C4⋊C4—42no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—41no—
1254C4⋊C4—44no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C22⋊C4—24no—
1271C22⋊C4—24no—
1272C22⋊C4—28no—
1273C22⋊C4—24no—
1274C22⋊C4—24no—
1275C22⋊C4—28no—
1276C22⋊C4—28no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—24no—
1285C22⋊C4—24no—
1286C22⋊C4—28no—
1287C22⋊C4—24no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—24no—
1291C22⋊C4—24no—
1292C22⋊C4—24no—
1293C22⋊C4—28no—
1294C22⋊C4—24no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—42no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
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—42no—
1312C22⋊C4—44no—
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—28no—
1318C42—24no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—28no—
1327C42—28no—
1328C42—24no—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—24no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—44no—
1346C42—44no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C42—44no—
1351C42—44no—
1352C42H(5,𝔽2)14yes—
1353C422−1+414yes—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—22no—
1359C23—24no—
1360C23—24no—
1361C23—22no—
1362C23—22no—
1363C23—24no—
1364C23—22no—
1365C23—24no—
1366C23—24no—
1367C23—22no—
1368C23—24no—
1369C23—22no—
1370C23—22no—
1371C23—24no—
1372C23C22×#4112yes—
1373C23C2×H(5,𝔽2)12yes—
1374C23C2×2−1+412yes—
1375C23C2611yescharacteristic
1376Q8—216no—
1377Q8—48no—
1378Q8—48no—
1379Q8—48no—
1380Q8—82no—
1381Q8—84no—
1382Q8—164no—
1383D4—416no—
1384D4—416no—
1385D4—48no—
1386D4—48no—
1387D4—84no—
1388D4—82no—
1389D4—84no—
1390D4—164no—
1391C2×C4—28no—
1392C2×C4—28no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—24no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—24no—
1417C2×C4—28no—
1418C2×C4—28no—
1419C2×C4—22no—
1420C2×C4—24no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—21no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—48no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—416no—
1469C2×C4—48no—
1470C2×C4—48no—
1471C2×C4—88no—
1472C2×C4—84no—
1473C2×C4—84no—
1474C2×C4—164no—
1475C2×C4—164no—
1476C2×C4C22×#4112yes—
1477C2×C4C22×#4118yes—
1478C2×C4C22×#4112yes—
1479C2×C4C2×H(5,𝔽2)12yes—
1480C2×C4C2×H(5,𝔽2)12yes—
1481C2×C4C2×H(5,𝔽2)12yes—
1482C2×C4C2×H(5,𝔽2)12yes—
1483C2×C4C2×H(5,𝔽2)12yes—
1484C2×C4C2×2−1+412yes—
1485C2×C4C2×2−1+412yes—
1486C2×C4C2×2−1+412yes—
1487C2×C4C2×2−1+412yes—
1488C2×C4C2×2−1+412yes—
1489C2×C4#58512yes—
1490C2×C4#58512yes—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—44no—
1498C22—42no—
1499C22—42no—
1500C22—44no—
1501C22—44no—
1502C22—42no—
1503C22—42no—
1504C22—44no—
1505C22—44no—
1506C22—42no—
1507C22—44no—
1508C22—42no—
1509C22—44no—
1510C22—42no—
1511C22#352214yes—
1512C22C23×#4111yescharacteristic
1513C22C22×H(5,𝔽2)11yescharacteristic
1514C22C22×H(5,𝔽2)11yescharacteristic
1515C22C22×2−1+411yescharacteristic
1516C22C22×2−1+411yescharacteristic
1517C22C2×#58511yescharacteristic
1518C22C2×#58511yescharacteristic
1519C4—22no—
1520C4—22no—
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—28no—
1531C4—44no—
1532C4—42no—
1533C4—42no—
1534C4—42no—
1535C4—42no—
1536C4—41no—
1537C4—44no—
1538C4—44no—
1539C4—44no—
1540C4—42no—
1541C4—42no—
1542C4—41no—
1543C4—44no—
1544C4—42no—
1545C4—44no—
1546C4#345914yes—
1547C2—24no—
1548C2—84no—
1549C2—82no—
1550C2C2×#345911yescharacteristic
1551C2C2×#352211yescharacteristic
1552C2#6278811yescharacteristic
1553C2#6282311yescharacteristic
1554C2#6283311yescharacteristic
1555C2#6283411yescharacteristic
1556C2#6283511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39743C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #40214C2semidirect
2. #40191C2semidirect
3. #39830C2semidirect
4. #39805C2semidirect
5. #39790C2semidirect
6. #39768C2semidirect
8. #39721C2semidirect
9. #39702C2semidirect
10. #39669C2semidirect
11. #39662C2semidirect
12. #39632C2semidirect
13. #39624C2semidirect
14. #39348C2semidirect
15. #38886C2semidirect
16. #37790C2semidirect
17. #37267C2semidirect
18. #37265C2semidirect
19. #37263C2semidirect
20. #36638C2semidirect
21. #36631C2semidirect
22. #35610C2semidirect
23. #35606C2semidirect
24. #35594C2semidirect
25. #35535C2semidirect
26. #35243C2semidirect
27. #35060C2semidirect
28. #35042C2semidirect
29. #35004C2semidirect
30. #34294C2semidirect
31. C2×C4×C4⋊Q8C2semidirect

Maximal subgroups

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

subgroupindex
#402142
#401912
#398302
#398052
#397902
#397682
#397432
#397212
#397022
#396692
#396622
#396322
#396242
#393482
#388862
#377902
#372672
#372652
#372632
#366382
#366312
#356102
#356062
#355942
#355352
#352432
#350602
#350422
#350042
#342942
C2×C4×C4⋊Q82