Finite Group Databasebeta

← #7732315

Subgroups — #7732315

Order 512.

4670 conjugacy classes of subgroups.

The subgroup lattice has 1508 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#47988C214yesmaximal, complemented
2#47987C214yesmaximal, complemented
3#47020C214yesmaximal, complemented
4#46446C214yesmaximal, complemented
5#43122C214yesmaximal, complemented
6#43121C214yesmaximal, complemented
7#39677C212yesmaximal, complemented
8#39671C212yesmaximal, complemented
9#39636C212yesmaximal, complemented
10#39631C212yesmaximal, complemented
11#39498C212yesmaximal, complemented
12#38961C212yesmaximal, complemented
13#38107C212yesmaximal, complemented
14#38101C212yesmaximal, complemented
15#37874C212yesmaximal, complemented
16#37687C212yesmaximal, complemented
17#37477C211yesmaximal, characteristic, complemented
18#37429C212yesmaximal, complemented
19#37310C212yesmaximal, complemented
20#36363C212yesmaximal, complemented
21D4×#125C212yesmaximal, complemented
22#35639C212yesmaximal, complemented
23#35579C212yesmaximal, complemented
24#35253C211yesmaximal, characteristic, complemented
25#35020C211yesmaximal, characteristic, complemented
26C2×#2441C211yesmaximal, characteristic, complemented
27#34360C211yesmaximal, characteristic
28#34202C211yesmaximal, characteristic
29#34082C211yesmaximal, characteristic
30C2×#544C2211yescharacteristic
31C22×#125C2211yescharacteristic
32C22×#125C2212yescomplemented
33C2×#525C2211yescharacteristic
34C2×#520C2211yescharacteristic
35C22×#117C2211yescharacteristic
36#2864C2212yescomplemented
37#2859C2212yescomplemented
38#2857C2212yes—
39#2857C2212yescomplemented
40#2851C2212yes—
41#2851C2212yes—
42#2851C2212yes—
43#2851C2212yescomplemented
44#2841C2214yes—
45#2807C2214yes—
46#2807C2214yescomplemented
47#2807C2214yescomplemented
48#2806C2214yescomplemented
49#2805C2214yescomplemented
50#2805C2214yescomplemented
51#2802C2214yescomplemented
52#2802C2214yescomplemented
53#2799C2214yescomplemented
54#2792C2214yescomplemented
55#2791C2214yescomplemented
56#2791C2214yescomplemented
57#2791C2214yescomplemented
58#2790C2214yes—
59#2790C2214yescomplemented
60#2790C2214yescomplemented
61#2788C2214yes—
62#2788C2214yes—
63#2788C2214yescomplemented
64#2784C2214yes—
65#2784C2214yescomplemented
66#2780C2214yes—
67#2780C2214yes—
68#2780C2214yes—
69#2774C2214yescomplemented
70#2768C2214yes—
71#2768C2214yescomplemented
72#2755C2214yescomplemented
73#2748C2214yes—
74#2748C2214yes—
75#2742C2214yes—
76#2742C2214yescomplemented
77#2732C2214yescomplemented
78#2726C2214yescomplemented
79#2720C2214yes—
80#2720C2214yescomplemented
81#2713C2214yescomplemented
82#2704C2214yes—
83#2692C2214yes—
84#2692C2214yes—
85#2660C2212yescomplemented
86#2659C2212yes—
87#2659C2212yes—
88#2647C2212yescomplemented
89#2646C2212yes—
90#2646C2212yes—
91#2646C2212yes—
92#2646C2212yes—
93#2629C2212yes—
94#2629C2212yes—
95#2629C2212yescomplemented
96#2628C2212yes—
97#2628C2212yes—
98#2628C2212yescomplemented
99#2590C2214yescomplemented
100#2589C2214yes—
101#2588C2214yescomplemented
102#2587C2214yes—
103#2586C2214yescomplemented
104#2585C2214yescomplemented
105#2585C2214yescomplemented
106#2585C2214yescomplemented
107#2584C2214yescomplemented
108#2583C2214yes—
109#2583C2214yes—
110#2580C2214yes—
111#2579C2214yes—
112#2579C2214yes—
113#2579C2214yescomplemented
114#2574C2214yescomplemented
115#2571C2212yescomplemented
116#2570C2212yescomplemented
117#2570C2212yescomplemented
118#2569C2214yes—
119#2569C2214yes—
120#2556C2214yes—
121#2552C2212yescomplemented
122#2552C2212yescomplemented
123#2552C2212yescomplemented
124#2550C2212yescomplemented
125#2550C2212yescomplemented
126#2522C2214yes—
127#2522C2214yes—
128#2522C2214yes—
129#2522C2214yescomplemented
130#2509C2214yescomplemented
131#2507C2214yescomplemented
132#2506C2214yescomplemented
133#2506C2214yescomplemented
134#2505C2214yes—
135#2497C2214yes—
136#2497C2214yescomplemented
137#2487C2214yes—
138#2487C2214yes—
139#2487C2214yescomplemented
140#2473C2214yes—
141#2473C2214yes—
142#2473C2214yes—
143#2473C2214yescomplemented
144#2473C2214yescomplemented
145#2473C2214yescomplemented
146#2465C2214yescomplemented
147#2462C2214yescomplemented
148#2454C2214yes—
149#2454C2214yes—
150#2454C2214yes—
151#2453C2214yescomplemented
152#2453C2214yescomplemented
153#2450C2214yes—
154#2450C2214yes—
155#2449C2214yes—
156#2449C2214yes—
157#2449C2214yes—
158#2442C2212yes—
159#2442C2212yes—
160#2442C2212yes—
161#2442C2212yes—
162#2442C2212yes—
163#2442C2212yes—
164#2442C2212yes—
165#2442C2212yescomplemented
166#2442C2212yescomplemented
167#2442C2212yescomplemented
168#2441C2212yes—
169#2441C2212yes—
170#2441C2212yes—
171#2441C2212yes—
172#2441C2212yes—
173#2441C2214yes—
174#2441C2214yes—
175#2441C2212yescomplemented
176#2441C2212yescomplemented
177#2441C2212yescomplemented
178#2440C2212yes—
179#2440C2212yes—
180#2440C2212yes—
181#2440C2214yescomplemented
182#2440C2212yescomplemented
183#2439C2212yes—
184#2439C2212yescomplemented
185#2438C2214yes—
186#2437C2214yes—
187#2437C2214yes—
188#2423C2214yes—
189#2417C2214yes—
190C2×#399C2212yes—
191C2×#396C2212yes—
192#2376C2214yes—
193#2368C2214yes—
194#2360C2214yes—
195#2359C2214yes—
196#2358C2214yes—
197#2358C2214yes—
198#2354C2212yes—
199#2352C2212yes—
200#2352C2212yes—
201#2352C2212yes—
202#2352C2212yes—
203D4×C4⋊C4C2212yes—
204D4×C4⋊C4C2214yes—
205D4×C4⋊C4C2214yes—
206D4×C4⋊C4C2212yes—
207D4×C4⋊C4C2212yes—
208#2335C2212yes—
209#2335C2212yes—
210#2333C2212yes—
211#2332C2212yes—
212#2330C2212yescomplemented
213#2330C2212yescomplemented
214#2329C2211yescharacteristic
215#2329C2211yescharacteristic
216#2329C2212yes—
217#2329C2212yes—
218#2325C2211yescharacteristic
219#2325C2211yescharacteristic
220#2325C2212yes—
221#2325C2212yes—
222#2324C2212yes—
223#2323C2212yes—
224#2321C2212yes—
225#2321C2212yes—
226#2317C2211yescharacteristic
227#2317C2211yescharacteristic
228#2317C2211yescharacteristic
229#2317C2212yescomplemented
230#2316C2211yescharacteristic
231#2316C2212yescomplemented
232#2315C2212yes—
233#2315C2212yes—
234#2314C2212yes—
235#2311C2212yes—
236#2311C2211yescharacteristic
237C4×C4⋊Q8C2212yescomplemented
238C4×#125C2212yescomplemented
239C4×C22⋊Q8C2212yes—
240C4×#121C2212yes—
241#2298C2212yes—
242#2297C2212yes—
243#2296C2212yescomplemented
244#2293C2212yes—
245C2×#389C2211yescharacteristic
246C2×#389C2212yes—
247C2×#389C2211yescharacteristic
248#2290C2212yes—
249#2290C2212yes—
250C2×#387C2212yes—
251C2×#384C2211yescharacteristic
252#2280C2211yescharacteristic
253C2×#380C2211yescharacteristic
254C2×#380C2211yescharacteristic
255C2×#380C2211yescharacteristic
256#2274C2211yescharacteristic
257C42×D4C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C24×C4C2311yescharacteristic
261#544—44no—
262C2×C4⋊Q8C2312yes—
263C2×C4⋊Q8C2312yes—
264C2×C4⋊Q8C2312yes—
265C2×#125—44no—
266C2×#125—48no—
267C2×#125C2312yes—
268C2×#125C2312yes—
269C2×#125C2312yes—
270C2×#125C2312yes—
271C2×#125C2312yes—
272C2×#125C2312yes—
273C2×#125C2312yes—
274C2×#125C2314yes—
275C2×#125C2314yes—
276C2×#125C2314yes—
277C2×#125C2314yes—
278#525Q8116yescomplemented
279C2×#123C2312yes—
280C2×C22⋊Q8C2314yes—
281C2×C22⋊Q8C2314yes—
282C2×C22⋊Q8C2314yes—
283C2×C22⋊Q8C2314yes—
284C2×C22⋊Q8C2314yes—
285C2×C22⋊Q8C2314yes—
286C2×C22⋊Q8C2311yescharacteristic
287C2×C22⋊Q8C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#120C2312yes—
291#520—44no—
292C2×C4×Q8C2312yes—
293C2×C4×Q8C2314yes—
294C2×C4×D4C2312yes—
295C2×C4×D4C2312yes—
296C2×C4×D4C2314yes—
297C2×C4×D4C2314yes—
298C2×C4×D4C2312yes—
299C2×C4×D4C2314yes—
300C2×C4×D4C2314yes—
301C2×C4×D4C2312yes—
302C2×C4×D4C2312yes—
303C2×#117—44no—
304C2×#117C2311yescharacteristic
305C2×#117C2311yescharacteristic
306C2×#117C2312yes—
307C2×#117C2311yescharacteristic
308C2×#117C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C2×#117C2312yes—
311C2×#117C2311yescharacteristic
312C2×#117C2312yes—
313C2×#117C2312yes—
314C2×#117C2312yes—
315C2×#117C2311yescharacteristic
316C22×C4⋊C4C2312yes—
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2312yes—
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2312yes—
324C22×C4⋊C4C2314yes—
325C22×C4⋊C4C2312yes—
326C22×C4⋊C4C2312yes—
327C22×C4⋊C4C2312yes—
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2314yes—
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2312yes—
333C22×C4⋊C4C2312yes—
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2312yes—
337C22×C22⋊C4C2312yes—
338C22×C22⋊C4C2312yes—
339C22×C22⋊C4C2312yes—
340C22×C42C2311yescharacteristic
341C22×C42C2311yescharacteristic
342C22×C42C2312yes—
343C22×C42C2312yes—
344#400C2314yes—
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#399C2314yes—
363#399C2314yes—
364#399C2314yes—
365#399C2314yes—
366#399C2314yes—
367#399C2314yes—
368#399C2314yes—
369#399C2314yes—
370#399C2314yes—
371#399C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
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#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#395C2314yes—
419#395C2314yes—
420#395C2314yes—
421#395C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#393C2314yes—
429#393C2314yes—
430#393C2314yes—
431#393C2314yes—
432#391C2314yes—
433#391C2312yes—
434#391C2314yes—
435#391C2314yes—
436#391C2312yes—
437#391C2312yes—
438#391C2314yes—
439#391C2314yes—
440#391C2314yes—
441#391C2314yes—
442#390C2312yes—
443#390C2314yes—
444#390C2312yes—
445#390C2312yes—
446#390C2312yes—
447#390C2312yes—
448#390C2314yes—
449#389C2312yes—
450#389C2312yes—
451#389C2312yes—
452#389C2314yes—
453#389C2312yes—
454#389C2312yes—
455#389C2312yes—
456#389C2312yes—
457#389C2312yes—
458#389C2314yes—
459#389C2312yes—
460#389C2312yes—
461#389C2312yes—
462#389C2312yes—
463#389C2314yes—
464#389C2312yes—
465#389C2314yes—
466#389C2312yes—
467#389C2312yes—
468#389C2312yes—
469#389C2312yes—
470#389C2314yes—
471#389C2314yes—
472#389C2314yes—
473#389C2314yes—
474#389C2314yes—
475#389C2314yes—
476#389C2314yes—
477#389C2314yes—
478#389C2314yes—
479#389C2312yes—
480#389C2314yes—
481#389C2314yes—
482#389C2314yes—
483#389C2312yes—
484#389C2314yes—
485#389C2314yes—
486#389C2314yes—
487#389C2314yes—
488#389C2312yes—
489#389C2312yes—
490#389C2314yes—
491#389C2314yes—
492#389C2314yes—
493#389C2314yes—
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2312yes—
502#389C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2312yes—
509#388C2314yes—
510#388C2312yes—
511#388C2312yes—
512#388C2312yes—
513#388C2312yes—
514#388C2312yes—
515#388C2312yes—
516#388C2312yes—
517#388C2312yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2312yes—
522#388C2314yes—
523#388C2312yes—
524#388C2312yes—
525#388C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2312yes—
547#387C2312yes—
548#387C2312yes—
549#387C2312yes—
550#387C2314yes—
551#387C2314yes—
552#387C2312yes—
553#387C2312yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2312yes—
563#387C2312yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2312yes—
574#386C2312yes—
575#386C2312yes—
576#386C2312yes—
577#386C2312yes—
578#386C2312yes—
579#386C2314yes—
580#386C2312yes—
581#386C2314yes—
582#386C2312yes—
583#386C2314yes—
584#386C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2312yes—
600#385C2312yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2312yes—
609#385C2312yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#384C2312yes—
623#384C2312yes—
624#384C2312yes—
625#384C2312yes—
626#384C2312yes—
627#384C2312yes—
628#384C2312yes—
629#384C2314yes—
630#384C2314yes—
631#384C2314yes—
632#382C2312yes—
633#382C2312yes—
634#382C2312yes—
635#382C2312yes—
636#382C2312yes—
637#382C2312yes—
638#382C2314yes—
639#382C2312yes—
640#381C2312yes—
641#380C2312yes—
642#380C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2312yes—
646#380C2312yes—
647#380C2312yes—
648#380C2312yes—
649#380C2314yes—
650#380C2314yes—
651#380C2314yes—
652#380C2314yes—
653#380C2314yes—
654#380C2314yes—
655#380C2314yes—
656#380C2314yes—
657#380C2312yes—
658#380C2311yescharacteristic
659#380C2312yes—
660#380C2311yescharacteristic
661#380C2311yescharacteristic
662#380C2311yescharacteristic
663#380C2312yes—
664#380C2312yes—
665#380C2314yes—
666#380C2314yes—
667#380C2312yes—
668#380C2314yes—
669#380C2314yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#380C2314yes—
675#379C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2312yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709#376C2312yes—
710C2×#95C2312yes—
711C2×#95C2312yes—
712C2×#95C2311yescharacteristic
713C2×#95C2311yescharacteristic
714C2×#95C2312yes—
715C2×#95C2312yes—
716C2×#95C2312yes—
717C43C2312yes—
718C25C2411yescharacteristic
719C2×#41—42no—
720C2×#41—42no—
721C2×#41C2×Q818yes—
722C22×Q8C2414yes—
723C22×Q8C2414yes—
724C22×Q8C2411yescharacteristic
725C22×D4C2412yes—
726C22×D4C2412yes—
727C22×D4C2412yes—
728C22×D4C2411yescharacteristic
729C23×C4—42no—
730C23×C4—42no—
731C23×C4C2×Q818yes—
732C23×C4C2412yes—
733C23×C4C2411yescharacteristic
734C23×C4C2411yescharacteristic
735C23×C4C2412yes—
736C23×C4C2411yescharacteristic
737C23×C4C2412yes—
738C23×C4C2411yescharacteristic
739C23×C4C2412yes—
740C23×C4C2411yescharacteristic
741C23×C4C2412yes—
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2414yes—
745C23×C4C2412yes—
746C23×C4C2412yes—
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2414yes—
750C23×C4C2412yes—
751C23×C4C2412yes—
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2411yescharacteristic
755C4⋊Q8—44no—
756C4⋊Q8—44no—
757C4⋊Q8—44no—
758#125—28no—
759#125—28no—
760#125—44no—
761#125—44no—
762#125—44no—
763#125—44no—
764#125—44no—
765#125—48no—
766#125—48no—
767#125—48no—
768#125—84no—
769#123C2×Q8116yes—
770C22⋊Q8—48no—
771C22⋊Q8—48no—
772C22⋊Q8—48no—
773C22⋊Q8—84no—
774C22⋊Q8—84no—
775C22⋊Q8—84no—
776C22⋊Q8C2×Q818yes—
777C22⋊Q8C2×Q818yes—
778#121C2×Q818yes—
779#121C2×Q818yes—
780#120C2×Q8116yes—
781C4×Q8—44no—
782C4×Q8—84no—
783C4×D4—44no—
784C4×D4—48no—
785C4×D4—48no—
786C4×D4—48no—
787C4×D4—44no—
788C4×D4—44no—
789C4×D4—84no—
790C4×D4C2×Q8116yes—
791C4×D4C2×Q8116yes—
792#117—24no—
793#117—24no—
794#117—44no—
795#117—42no—
796#117—42no—
797#117—44no—
798#117—44no—
799#117—42no—
800#117—42no—
801#117—44no—
802#117—44no—
803#117C2×Q818yes—
804C2×C4⋊C4—24no—
805C2×C4⋊C4—28no—
806C2×C4⋊C4—42no—
807C2×C4⋊C4—42no—
808C2×C4⋊C4—42no—
809C2×C4⋊C4—42no—
810C2×C4⋊C4—42no—
811C2×C4⋊C4—42no—
812C2×C4⋊C4—44no—
813C2×C4⋊C4—44no—
814C2×C4⋊C4—44no—
815C2×C4⋊C4—48no—
816C2×C4⋊C4—48no—
817C2×C4⋊C4—42no—
818C2×C4⋊C4—44no—
819C2×C4⋊C4—44no—
820C2×C4⋊C4—82no—
821C2×C4⋊C4—82no—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2411yescharacteristic
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C22⋊C4—44no—
899C2×C22⋊C4—44no—
900C2×C22⋊C4—44no—
901C2×C22⋊C4—42no—
902C2×C22⋊C4—42no—
903C2×C22⋊C4—82no—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C42—44no—
942C2×C42—42no—
943C2×C42—44no—
944C2×C42—42no—
945C2×C42C2412yes—
946C2×C42C2412yes—
947C2×C42C2412yes—
948C2×C42C2412yes—
949C2×C42C2412yes—
950C2×C42C2412yes—
951C2×C42C2412yes—
952C2×C42C2412yes—
953C2×C42C2414yes—
954C2×C42C2414yes—
955C2×C42C2414yes—
956C2×C42C2412yes—
957C2×C42C2412yes—
958C2×C42C2414yes—
959C2×C42C2414yes—
960C2×C42C2412yes—
961C2×C42C2414yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2412yes—
965C2×C42C2412yes—
966C2×C42C2412yes—
967C2×C42C2412yes—
968#95C2412yes—
969#95C2412yes—
970#95C2412yes—
971#95C2412yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2412yes—
983#95C2412yes—
984#95C2412yes—
985#95C2412yes—
986#95C2412yes—
987#95C2412yes—
988#95C2412yes—
989#95C2412yes—
990#95C2412yes—
991#95C2412yes—
992#95C2414yes—
993#95C2414yes—
994#95C2412yes—
995#95C2412yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030C24—22no—
1031C24—22no—
1032C24—41no—
1033C24—41no—
1034C24—41no—
1035C24—41no—
1036C24C22×Q814yes—
1037C24C2511yescharacteristic
1038C24C2511yescharacteristic
1039C24C2512yes—
1040C24C2511yescharacteristic
1041#41—416no—
1042C2×Q8—41no—
1043C2×Q8—41no—
1044C2×Q8—44no—
1045C2×Q8—44no—
1046C2×Q8—44no—
1047C2×Q8—44no—
1048C2×Q8—44no—
1049C2×Q8—44no—
1050C2×Q8C22×Q814yes—
1051C2×D4—24no—
1052C2×D4—24no—
1053C2×D4—41no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—41no—
1059C2×D4C22×Q818yes—
1060C2×D4C22×Q818yes—
1061C2×D4C22×Q818yes—
1062C2×D4C22×Q814yes—
1063C22×C4—22no—
1064C22×C4—24no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—24no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—24no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—24no—
1077C22×C4—24no—
1078C22×C4—24no—
1079C22×C4—24no—
1080C22×C4—28no—
1081C22×C4—416no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—42no—
1092C22×C4—41no—
1093C22×C4—42no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—44no—
1102C22×C4—42no—
1103C22×C4—42no—
1104C22×C4—41no—
1105C22×C4—44no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—42no—
1111C22×C4—44no—
1112C22×C4—41no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4C22×Q814yes—
1127C22×C4C22×Q814yes—
1128C22×C4C22×Q814yes—
1129C22×C4C22×Q818yes—
1130C22×C4C22×Q814yes—
1131C22×C4C22×Q814yes—
1132C22×C4C22×Q814yes—
1133C22×C4C2512yes—
1134C22×C4C2514yes—
1135C22×C4C2512yes—
1136C22×C4C2512yes—
1137C22×C4C2512yes—
1138C22×C4C2514yes—
1139C22×C4C2514yes—
1140C22×C4C2514yes—
1141C22×C4C2512yes—
1142C22×C4C2512yes—
1143C22×C4C2512yes—
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2514yes—
1147C22×C4C2512yes—
1148C22×C4C2514yes—
1149C22×C4C2512yes—
1150C22×C4C2511yescharacteristic
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2511yescharacteristic
1155C22×C4C2511yescharacteristic
1156C22×C4C2512yes—
1157C22×C4C2511yescharacteristic
1158C4⋊C4—24no—
1159C4⋊C4—24no—
1160C4⋊C4—22no—
1161C4⋊C4—28no—
1162C4⋊C4—28no—
1163C4⋊C4—28no—
1164C4⋊C4—24no—
1165C4⋊C4—24no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—28no—
1169C4⋊C4—28no—
1170C4⋊C4—24no—
1171C4⋊C4—24no—
1172C4⋊C4—24no—
1173C4⋊C4—42no—
1174C4⋊C4—44no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—44no—
1183C4⋊C4—42no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—42no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—42no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—42no—
1202C4⋊C4—42no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—42no—
1208C4⋊C4—42no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—42no—
1228C4⋊C4—44no—
1229C4⋊C4C22×Q814yes—
1230C4⋊C4C22×Q814yes—
1231C4⋊C4C22×Q818yes—
1232C4⋊C4C22×Q818yes—
1233C4⋊C4H(5,𝔽2)14yes—
1234C22⋊C4—28no—
1235C22⋊C4—28no—
1236C22⋊C4—24no—
1237C22⋊C4—24no—
1238C22⋊C4—24no—
1239C22⋊C4—24no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—42no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—42no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4C22×Q818yes—
1267C22⋊C4C22×Q818yes—
1268C22⋊C4C22×Q818yes—
1269C22⋊C4C22×Q818yes—
1270C22⋊C4C22×Q818yes—
1271C42—24no—
1272C42—24no—
1273C42—24no—
1274C42—24no—
1275C42—24no—
1276C42—24no—
1277C42—42no—
1278C42—42no—
1279C42—42no—
1280C42—42no—
1281C42—42no—
1282C42—42no—
1283C42—42no—
1284C42—44no—
1285C42—44no—
1286C42—44no—
1287C42—44no—
1288C42—42no—
1289C42—42no—
1290C42—44no—
1291C42—42no—
1292C42—44no—
1293C42C22×Q818yes—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—22no—
1301C23—21no—
1302C23—21no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—22no—
1312C23—21no—
1313C23—21no—
1314C23—22no—
1315C23—21no—
1316C23—28no—
1317C23—44no—
1318C23—44no—
1319C23—82no—
1320C23—82no—
1321C23—82no—
1322C23—82no—
1323C23C23×Q812yes—
1324C23C23×Q812yes—
1325C23C23×Q814yes—
1326C23C23×Q812yes—
1327C23#58512yes—
1328C23#58512yes—
1329C23C2611yescharacteristic
1330Q8—44no—
1331Q8—88no—
1332Q8—164no—
1333D4—216no—
1334D4—48no—
1335D4—44no—
1336D4—48no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—22no—
1340C2×C4—21no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—21no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—28no—
1352C2×C4—28no—
1353C2×C4—28no—
1354C2×C4—216no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—24no—
1363C2×C4—24no—
1364C2×C4—24no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—24no—
1377C2×C4—24no—
1378C2×C4—24no—
1379C2×C4—24no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—24no—
1386C2×C4—22no—
1387C2×C4—24no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—24no—
1391C2×C4—24no—
1392C2×C4—22no—
1393C2×C4—24no—
1394C2×C4—22no—
1395C2×C4—24no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—48no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—88no—
1413C2×C4—82no—
1414C2×C4—84no—
1415C2×C4—82no—
1416C2×C4—84no—
1417C2×C4—84no—
1418C2×C4—84no—
1419C2×C4—88no—
1420C2×C4—84no—
1421C2×C4—162no—
1422C2×C4—162no—
1423C2×C4—162no—
1424C2×C4—162no—
1425C2×C4C23×Q814yes—
1426C2×C4C23×Q814yes—
1427C2×C4C23×Q812yes—
1428C2×C4C23×Q812yes—
1429C2×C4C23×Q814yes—
1430C2×C4C23×Q812yes—
1431C2×C4C23×Q812yes—
1432C2×C4C2×H(5,𝔽2)14yes—
1433C2×C4C2×H(5,𝔽2)12yes—
1434C2×C4#58512yes—
1435C22—22no—
1436C22—22no—
1437C22—22no—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—24no—
1444C22—24no—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—24no—
1449C22—22no—
1450C22—42no—
1451C22—41no—
1452C22—41no—
1453C22—42no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—42no—
1458C22—41no—
1459C22—41no—
1460C22—42no—
1461C22—41no—
1462C22—88no—
1463C22#350414yes—
1464C22C24×Q811yescharacteristic
1465C22C22×H(5,𝔽2)11yescharacteristic
1466C22C2×#58511yescharacteristic
1467C22C2×#58511yescharacteristic
1468C22C2×#58511yescharacteristic
1469C22H(7,𝔽2)11yescharacteristic
1470C222−1+611yescharacteristic
1471C4—22no—
1472C4—22no—
1473C4—22no—
1474C4—24no—
1475C4—24no—
1476C4—24no—
1477C4—24no—
1478C4—42no—
1479C4—42no—
1480C4—42no—
1481C4—44no—
1482C4—42no—
1483C4—42no—
1484C4—44no—
1485C4—44no—
1486C4—42no—
1487C4—42no—
1488C4—42no—
1489C4—42no—
1490C4—44no—
1491C4—42no—
1492C4—44no—
1493C4—44no—
1494C4—42no—
1495C4#350114yes—
1496C2—24no—
1497C2—44no—
1498C2—42no—
1499C2—42no—
1500C2C2×#350111yescharacteristic
1501C2C2×#350411yescharacteristic
1502C2#6285411yescharacteristic
1503C2#6289811yescharacteristic
1504C2#6289911yescharacteristic
1505C2#6293411yescharacteristic
1506C2#6293511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #47988C2semidirect
2. #47987C2semidirect
3. #47020C2semidirect
4. #46446C2semidirect
5. #43122C2semidirect
6. #43121C2semidirect
7. #39677C2semidirect
8. #39671C2semidirect
9. #39636C2semidirect
10. #39631C2semidirect
11. #39498C2semidirect
12. #38961C2semidirect
13. #38107C2semidirect
14. #38101C2semidirect
15. #37874C2semidirect
16. #37687C2semidirect
17. #37477C2semidirect
18. #37429C2semidirect
19. #37310C2semidirect
20. #36363C2semidirect
21. D4×#125C2semidirect
22. #35639C2semidirect
23. #35579C2semidirect
24. #35253C2semidirect
25. #35020C2semidirect
26. C2×#2441C2semidirect
32. C22×#125C22semidirect
36. #2864C22semidirect
37. #2859C22semidirect
39. #2857C22semidirect
43. #2851C22semidirect
46. #2807C22semidirect
47. #2807C22semidirect
48. #2806C22semidirect
49. #2805C22semidirect
50. #2805C22semidirect
51. #2802C22semidirect
52. #2802C22semidirect
53. #2799C22semidirect
54. #2792C22semidirect
55. #2791C22semidirect
56. #2791C22semidirect
57. #2791C22semidirect
59. #2790C22semidirect
60. #2790C22semidirect
63. #2788C22semidirect
65. #2784C22semidirect
69. #2774C22semidirect
71. #2768C22semidirect
72. #2755C22semidirect
76. #2742C22semidirect
77. #2732C22semidirect
78. #2726C22semidirect
80. #2720C22semidirect
81. #2713C22semidirect
85. #2660C22semidirect
88. #2647C22semidirect
95. #2629C22semidirect
98. #2628C22semidirect
99. #2590C22semidirect
101. #2588C22semidirect
103. #2586C22semidirect
104. #2585C22semidirect
105. #2585C22semidirect
106. #2585C22semidirect
107. #2584C22semidirect
113. #2579C22semidirect
114. #2574C22semidirect
115. #2571C22semidirect
116. #2570C22semidirect
117. #2570C22semidirect
121. #2552C22semidirect
122. #2552C22semidirect
123. #2552C22semidirect
124. #2550C22semidirect
125. #2550C22semidirect
129. #2522C22semidirect
130. #2509C22semidirect
131. #2507C22semidirect
132. #2506C22semidirect
133. #2506C22semidirect
136. #2497C22semidirect
139. #2487C22semidirect
143. #2473C22semidirect
144. #2473C22semidirect
145. #2473C22semidirect
146. #2465C22semidirect
147. #2462C22semidirect
151. #2453C22semidirect
152. #2453C22semidirect
165. #2442C22semidirect
166. #2442C22semidirect
167. #2442C22semidirect
175. #2441C22semidirect
176. #2441C22semidirect
177. #2441C22semidirect
181. #2440C22semidirect
182. #2440C22semidirect
184. #2439C22semidirect
212. #2330C22semidirect
213. #2330C22semidirect
229. #2317C22semidirect
231. #2316C22semidirect
237. C4×C4⋊Q8C22semidirect
238. C4×#125C22semidirect
243. #2296C22semidirect
278. #525Q8semidirect

Maximal subgroups

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

subgroupindex
#479882
#479872
#470202
#464462
#431222
#431212
#396772
#396712
#396362
#396312
#394982
#389612
#381072
#381012
#378742
#376872
#374772
#374292
#373102
#363632
D4×#1252
#356392
#355792
#352532
#350202
C2×#24412
#343602
#342022
#340822