Finite Group Databasebeta

← #7653639

Subgroups — #7653639

Order 512.

4220 conjugacy classes of subgroups.

The subgroup lattice has 1540 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42817C212yesmaximal
2#42816C212yesmaximal
3#40625C214yesmaximal
4#40624C214yesmaximal
5#39978C212yesmaximal, complemented
6#39975C212yesmaximal, complemented
7#39754C211yesmaximal, characteristic, complemented
8#39750C212yesmaximal, complemented
9#39625C211yesmaximal, characteristic, complemented
10#39621C212yesmaximal, complemented
11#39182C211yesmaximal, characteristic, complemented
12#39181C211yesmaximal, characteristic, complemented
13#39177C212yesmaximal, complemented
14#39176C212yesmaximal, complemented
15#38454C214yesmaximal, complemented
16#38451C214yesmaximal, complemented
17#37624C211yesmaximal, characteristic
18#37567C212yesmaximal
19#36598C211yesmaximal, characteristic, complemented
20#36565C211yesmaximal, characteristic, complemented
21#36535C211yesmaximal, characteristic, complemented
22#36497C211yesmaximal, characteristic, complemented
23#36286C212yesmaximal, complemented
24#36283C212yesmaximal, complemented
25#35843C212yesmaximal
26#35788C212yesmaximal
27#35294C211yesmaximal, characteristic
28#35213C212yesmaximal
29#35192C212yesmaximal
30#35192C211yesmaximal, characteristic
31#34978C211yesmaximal, characteristic
32#34912C212yesmaximal
33#34187C211yesmaximal, characteristic
34#34128C211yesmaximal, characteristic
35Q8×#117C211yesmaximal, characteristic
36C22×C4×Q8C2211yescharacteristic
37#2868C2211yescharacteristic
38#2864C2212yes—
39#2864C2212yes—
40#2864C2212yes—
41#2863C2214yes—
42#2863C2214yes—
43#2862C2212yes—
44#2862C2212yes—
45#2862C2212yes—
46#2859C2211yescharacteristic
47#2859C2211yescharacteristic
48#2859C2211yescharacteristic
49#2841C2214yes—
50#2841C2214yes—
51#2841C2214yes—
52#2811C2214yes—
53#2809C2214yes—
54#2806C2214yes—
55#2806C2214yes—
56#2806C2214yes—
57#2805C2214yes—
58#2802C2214yes—
59#2802C2214yes—
60#2799C2214yes—
61#2799C2214yes—
62#2799C2214yes—
63#2799C2214yes—
64#2792C2214yes—
65#2791C2214yes—
66#2774C2214yes—
67#2774C2214yes—
68#2774C2214yes—
69#2755C2214yes—
70#2755C2214yes—
71#2755C2214yes—
72#2734C2214yes—
73#2734C2214yes—
74#2713C2214yes—
75#2713C2214yes—
76#2667C2214yes—
77#2667C2214yes—
78#2666C2214yes—
79#2666C2214yes—
80#2666C2214yes—
81#2665C2214yes—
82#2665C2214yes—
83#2665C2214yes—
84#2665C2214yes—
85#2665C2214yes—
86#2660C2212yes—
87#2660C2212yes—
88#2660C2212yes—
89#2647C2212yes—
90#2647C2212yes—
91#2647C2212yes—
92#2629C2212yes—
93#2629C2212yes—
94#2628C2212yes—
95#2628C2212yes—
96#2612C2214yes—
97#2612C2214yes—
98#2612C2212yes—
99#2612C2212yes—
100#2608C2214yes—
101#2608C2214yes—
102#2607C2214yes—
103#2607C2214yes—
104#2606C2214yes—
105#2606C2214yes—
106#2605C2214yes—
107#2605C2214yes—
108#2605C2214yes—
109#2605C2214yes—
110#2605C2214yes—
111#2590C2214yes—
112#2590C2214yes—
113#2588C2214yes—
114#2588C2214yes—
115#2588C2214yes—
116#2588C2214yes—
117#2586C2214yes—
118#2586C2214yes—
119#2586C2214yes—
120#2586C2214yes—
121#2585C2214yes—
122#2585C2214yes—
123#2584C2212yes—
124#2582C2212yes—
125#2581C2212yes—
126#2581C2212yes—
127#2581C2212yes—
128#2571C2212yes—
129#2571C2211yescharacteristic
130#2571C2212yes—
131#2571C2211yescharacteristic
132#2571C2211yescharacteristic
133#2571C2211yescharacteristic
134#2570C2212yes—
135#2570C2212yes—
136#2570C2212yes—
137#2570C2212yes—
138#2570C2212yes—
139#2570C2212yes—
140#2570C2212yes—
141#2570C2212yes—
142#2570C2212yes—
143#2568C2212yes—
144#2568C2212yes—
145#2567C2212yes—
146#2565C2212yes—
147#2552C2211yescharacteristic
148#2552C2211yescharacteristic
149#2552C2211yescharacteristic
150#2552C2211yescharacteristic
151#2551C2212yes—
152#2551C2212yes—
153#2551C2212yes—
154#2551C2211yescharacteristic
155#2551C2211yescharacteristic
156#2551C2211yescharacteristic
157#2551C2211yescharacteristic
158#2550C2212yes—
159#2550C2212yes—
160#2550C2212yes—
161#2550C2212yes—
162#2550C2212yes—
163#2550C2212yes—
164#2550C2212yes—
165#2550C2212yes—
166#2550C2212yes—
167#2550C2212yes—
168#2546C2212yes—
169#2520C2214yes—
170#2520C2214yes—
171#2520C2214yes—
172#2520C2214yes—
173#2511C2214yes—
174#2511C2214yes—
175#2509C2212yes—
176#2508C2212yes—
177#2508C2212yes—
178#2507C2212yes—
179#2462C2214yes—
180#2462C2214yes—
181#2453C2212yes—
182#2453C2212yes—
183#2453C2212yes—
184#2451C2212yes—
185#2451C2212yes—
186#2451C2212yes—
187#2451C2212yes—
188#2451C2214yes—
189#2451C2212yes—
190#2451C2214yes—
191#2446C2214yes—
192#2446C2214yes—
193#2441C2212yes—
194#2441C2211yescharacteristic
195#2441C2212yes—
196#2441C2211yescharacteristic
197#2441C2212yes—
198#2441C2212yes—
199#2439C2212yes—
200#2439C2212yes—
201#2439C2214yes—
202#2439C2212yes—
203#2439C2212yes—
204#2439C2212yes—
205#2439C2211yescharacteristic
206#2439C2212yes—
207#2439C2212yes—
208#2439C2214yes—
209#2439C2212yes—
210#2439C2211yescharacteristic
211#2396C2212yes—
212#2396C2214yes—
213#2396C2212yes—
214#2396C2214yes—
215#2370C2212yes—
216#2370C2212yes—
217#2369C2212yes—
218#2369C2212yes—
219#2365C2212yes—
220#2365C2212yes—
221#2356C2212yes—
222#2356C2212yes—
223#2356C2214yes—
224#2356C2212yes—
225#2356C2211yescharacteristic
226#2356C2211yescharacteristic
227#2356C2212yes—
228#2355C2212yes—
229#2355C2212yes—
230#2355C2212yes—
231#2355C2212yes—
232#2355C2211yescharacteristic
233#2355C2212yes—
234#2355C2211yescharacteristic
235#2355C2211yescharacteristic
236#2355C2211yescharacteristic
237#2355C2211yescharacteristic
238#2355C2211yescharacteristic
239#2355C2212yes—
240#2351C2211yescharacteristic
241#2351C2211yescharacteristic
242Q8×C4⋊C4C2211yescharacteristic
243Q8×C4⋊C4C2211yescharacteristic
244#2345C2212yes—
245#2345C2214yes—
246#2344C2211yescharacteristic
247#2344C2212yes—
248#2344C2212yes—
249#2344C2211yescharacteristic
250Q8×C22⋊C4C2211yescharacteristic
251Q8×C22⋊C4C2212yes—
252Q8×C22⋊C4C2211yescharacteristic
253#2331C2212yes—
254#2331C2212yes—
255#2331C2212yes—
256#2331C2212yes—
257#2331C2214yes—
258#2331C2214yes—
259#2331C2212yes—
260#2330C2212yes—
261#2330C2212yes—
262#2330C2212yes—
263#2313C2214yes—
264#2310C2212yes—
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2212yes—
270C4×#125C2212yes—
271C4×#125C2211yescharacteristic
272C4×#125C2212yes—
273C4×#125C2212yes—
274C4×#125C2211yescharacteristic
275#2295C2212yes—
276#2295C2212yes—
277#2295C2211yescharacteristic
278#2295C2211yescharacteristic
279#2295C2212yes—
280#2295C2214yes—
281#2295C2214yes—
282#2295C2214yes—
283#2285C2212yes—
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic
287#2283C2211yescharacteristic
288#2283C2212yes—
289#2283C2212yes—
290#2283C2212yes—
291#2274C2212yes—
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300C2×C4⋊Q8C2312yes—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×C4×Q8Q8116yescomplemented
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2314yes—
326C2×C4×Q8C2314yes—
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×#117C2311yescharacteristic
340C2×#117C2312yes—
341C2×#117C2312yes—
342C2×#117C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2311yescharacteristic
347C2×#117C2312yes—
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2311yescharacteristic
350C22×C42C2312yes—
351C22×C42C2311yescharacteristic
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#399C2314yes—
375#399C2314yes—
376#399C2312yes—
377#399C2312yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2312yes—
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#398C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#396C2314yes—
411#396C2312yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2312yes—
416#396C2312yes—
417#396C2314yes—
418#396C2314yes—
419#396C2312yes—
420#395C2314yes—
421#395C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2312yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2312yes—
440#395C2314yes—
441#395C2314yes—
442#393C2312yes—
443#393C2314yes—
444#393C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2312yes—
448#391C2314yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2314yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2314yes—
460#391C2314yes—
461#391C2311yescharacteristic
462#391C2311yescharacteristic
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#387C2314yes—
575#387C2314yes—
576#387C2312yes—
577#387C2312yes—
578#387C2314yes—
579#387C2314yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
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#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#384C2311yescharacteristic
653#384C2311yescharacteristic
654#384C2312yes—
655#384C2312yes—
656#384C2312yes—
657#384C2312yes—
658#384C2312yes—
659#384C2311yescharacteristic
660#384C2311yescharacteristic
661#384C2311yescharacteristic
662#384C2312yes—
663#384C2312yes—
664#384C2311yescharacteristic
665#384C2312yes—
666#384C2311yescharacteristic
667#384C2311yescharacteristic
668#383C2314yes—
669#383C2312yes—
670#383C2312yes—
671#383C2314yes—
672#383C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2311yescharacteristic
676#382C2311yescharacteristic
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2314yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#381C2314yes—
701#381C2314yes—
702#381C2312yes—
703#381C2312yes—
704#381C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2314yes—
710#380C2312yes—
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2312yes—
714#380C2314yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794#376C2311yescharacteristic
795#376C2312yes—
796#376C2312yes—
797#376C2311yescharacteristic
798#376C2314yes—
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805C43C2312yes—
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2312yes—
809C43C2312yes—
810C43C2314yes—
811C22×Q8—42no—
812C22×Q8—42no—
813C22×Q8C2×Q818yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C4⋊Q8—28no—
829C4⋊Q8—44no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—44no—
833C4⋊Q8—42no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—42no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—48no—
841C4⋊Q8—48no—
842#125—24no—
843#125—24no—
844#125—44no—
845#125—44no—
846#125—44no—
847#125—44no—
848#125—44no—
849#125—44no—
850C4×Q8—44no—
851C4×Q8—44no—
852C4×Q8—48no—
853C4×Q8—48no—
854C4×Q8—42no—
855C4×Q8—44no—
856C4×Q8—42no—
857C4×Q8—42no—
858C4×Q8—44no—
859C4×Q8—42no—
860C4×Q8C2×Q818yes—
861C4×Q8C2×Q818yes—
862C4×Q8C2×Q818yes—
863C4×Q8C2×Q818yes—
864C4×Q8C2×Q8116yes—
865C4×Q8C2×Q8116yes—
866#117—24no—
867#117—44no—
868#117—44no—
869#117—44no—
870#117—42no—
871#117—42no—
872#117—44no—
873#117—44no—
874#117—42no—
875C2×C4⋊C4C2×Q818yes—
876C2×C4⋊C4C2×Q8116yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C22⋊C4C2411yescharacteristic
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C42C2×Q818yes—
983C2×C42C2×Q8116yes—
984C2×C42C2412yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2412yes—
988C2×C42C2411yescharacteristic
989C2×C42C2411yescharacteristic
990C2×C42C2412yes—
991C2×C42C2411yescharacteristic
992C2×C42C2412yes—
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2411yescharacteristic
996C2×C42C2412yes—
997C2×C42C2411yescharacteristic
998C2×C42C2412yes—
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2412yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032#95C2411yescharacteristic
1033#95C2411yescharacteristic
1034#95C2412yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2411yescharacteristic
1038#95C2411yescharacteristic
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2411yescharacteristic
1043#95C2411yescharacteristic
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2411yescharacteristic
1055#95C2412yes—
1056#95C2411yescharacteristic
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128C24C2511yescharacteristic
1129C2×Q8—28no—
1130C2×Q8—22no—
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—22no—
1134C2×Q8—28no—
1135C2×Q8—24no—
1136C2×Q8—42no—
1137C2×Q8—42no—
1138C2×Q8—42no—
1139C2×Q8—44no—
1140C2×Q8—42no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—42no—
1144C2×Q8—44no—
1145C2×Q8—42no—
1146C2×Q8—42no—
1147C2×Q8—44no—
1148C2×Q8—44no—
1149C2×Q8—44no—
1150C2×Q8—44no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8—416no—
1154C2×Q8C22×Q814yes—
1155C2×Q8C22×Q814yes—
1156C2×Q8C22×Q818yes—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4C22×Q814yes—
1168C22×C4C22×Q814yes—
1169C22×C4C22×Q818yes—
1170C22×C4C22×Q814yes—
1171C22×C4C22×Q818yes—
1172C22×C4C2512yes—
1173C22×C4C2514yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2511yescharacteristic
1177C22×C4C2511yescharacteristic
1178C22×C4C2511yescharacteristic
1179C22×C4C2511yescharacteristic
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2514yes—
1189C22×C4C2512yes—
1190C22×C4C2514yes—
1191C22×C4C2514yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C4⋊C4—22no—
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—28no—
1214C4⋊C4—24no—
1215C4⋊C4—22no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—22no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—22no—
1228C4⋊C4—28no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—41no—
1239C4⋊C4—42no—
1240C4⋊C4—41no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4C22×Q818yes—
1292C4⋊C4C22×Q818yes—
1293C4⋊C4C22×Q818yes—
1294C4⋊C4C22×Q818yes—
1295C4⋊C4C22×Q818yes—
1296C4⋊C4C22×Q814yes—
1297C4⋊C4C22×Q814yes—
1298C4⋊C42−1+414yes—
1299C22⋊C4—24no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C42—24no—
1312C42—22no—
1313C42—22no—
1314C42—24no—
1315C42—24no—
1316C42—24no—
1317C42—24no—
1318C42—24no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—24no—
1324C42—22no—
1325C42—24no—
1326C42—22no—
1327C42—22no—
1328C42—24no—
1329C42—22no—
1330C42—42no—
1331C42—42no—
1332C42—41no—
1333C42—41no—
1334C42—44no—
1335C42—42no—
1336C42—44no—
1337C42—44no—
1338C42—44no—
1339C42—44no—
1340C42—44no—
1341C42—42no—
1342C42—44no—
1343C42—42no—
1344C42—44no—
1345C42—42no—
1346C42—42no—
1347C42—42no—
1348C42—42no—
1349C42—44no—
1350C42—44no—
1351C42C22×Q818yes—
1352C42C22×Q814yes—
1353C42C22×Q818yes—
1354C42C22×Q814yes—
1355C42C22×Q818yes—
1356C42C22×Q814yes—
1357C42C22×Q818yes—
1358C42C22×Q814yes—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23C23×Q812yes—
1366C23C2611yescharacteristic
1367Q8—28no—
1368Q8—28no—
1369Q8—48no—
1370Q8—88no—
1371Q8—84no—
1372Q8—88no—
1373Q8—84no—
1374Q8—164no—
1375Q8—164no—
1376C2×C4—21no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—22no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—21no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—28no—
1399C2×C4—28no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—24no—
1410C2×C4—21no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
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—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—48no—
1464C2×C4—44no—
1465C2×C4—48no—
1466C2×C4C23×Q812yes—
1467C2×C4C23×Q814yes—
1468C2×C4C23×Q812yes—
1469C2×C4C23×Q814yes—
1470C2×C4C23×Q812yes—
1471C2×C4C23×Q812yes—
1472C2×C4C23×Q814yes—
1473C2×C4C23×Q814yes—
1474C2×C4C23×Q812yes—
1475C2×C4C23×Q812yes—
1476C2×C4C2×2−1+414yes—
1477C2×C4C2×2−1+412yes—
1478C2×C4#58512yes—
1479C2×C4#58512yes—
1480C2×C4#58512yes—
1481C2×C4#58512yes—
1482C2×C4#58512yes—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22C24×Q811yescharacteristic
1491C22C22×2−1+411yescharacteristic
1492C22C2×#58511yescharacteristic
1493C22C2×#58511yescharacteristic
1494C22C2×#58511yescharacteristic
1495C22C2×#58511yescharacteristic
1496C22C2×#58511yescharacteristic
1497C4—24no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—24no—
1502C4—22no—
1503C4—22no—
1504C4—24no—
1505C4—22no—
1506C4—24no—
1507C4—24no—
1508C4—41no—
1509C4—41no—
1510C4—44no—
1511C4—42no—
1512C4—42no—
1513C4—41no—
1514C4—42no—
1515C4—42no—
1516C4—44no—
1517C4—42no—
1518C4—41no—
1519C4—44no—
1520C4—44no—
1521C4—42no—
1522C4—42no—
1523C4—42no—
1524C4—41no—
1525C4—41no—
1526C4—42no—
1527C4—42no—
1528C4—42no—
1529C4#345814yes—
1530C4#350214yes—
1531C2—42no—
1532C2C2×#345811yescharacteristic
1533C2C2×#350211yescharacteristic
1534C2#6281311yescharacteristic
1535C2#6302511yescharacteristic
1536C2#6302911yescharacteristic
1537C2#6303011yescharacteristic
1538C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC24C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
5. #39978C2semidirect
6. #39975C2semidirect
7. #39754C2semidirect
8. #39750C2semidirect
9. #39625C2semidirect
10. #39621C2semidirect
11. #39182C2semidirect
12. #39181C2semidirect
13. #39177C2semidirect
14. #39176C2semidirect
15. #38454C2semidirect
16. #38451C2semidirect
19. #36598C2semidirect
20. #36565C2semidirect
21. #36535C2semidirect
22. #36497C2semidirect
23. #36286C2semidirect
24. #36283C2semidirect
322. C2×C4×Q8Q8semidirect

Maximal subgroups

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

subgroupindex
#428172
#428162
#406252
#406242
#399782
#399752
#397542
#397502
#396252
#396212
#391822
#391812
#391772
#391762
#384542
#384512
#376242
#375672
#365982
#365652
#365352
#364972
#362862
#362832
#358432
#357882
#352942
#352132
#351922
#349782
#349122
#341872
#341282
Q8×#1172