Finite Group Databasebeta

← #7674860

Subgroups — #7674860

Order 512.

4994 conjugacy classes of subgroups.

The subgroup lattice has 1520 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59868C212yesmaximal, complemented
2#59868C212yesmaximal, complemented
3#59664C212yesmaximal, complemented
4#59663C212yesmaximal, complemented
5#59325C212yesmaximal, complemented
6#59321C212yesmaximal, complemented
7#59154C212yesmaximal, complemented
8#59144C212yesmaximal, complemented
9#43556C214yesmaximal, complemented
10#43552C214yesmaximal, complemented
11#43129C214yesmaximal, complemented
12#43125C214yesmaximal, complemented
13#39179C212yesmaximal, complemented
14#39178C214yesmaximal, complemented
15#39178C212yesmaximal, complemented
16#39175C214yesmaximal, complemented
17#36519C212yesmaximal, complemented
18#36435C212yesmaximal, complemented
19#35391C212yesmaximal
20#35368C212yesmaximal
21#35020C211yesmaximal, characteristic
22#34994C212yesmaximal
23C2×#2442C211yesmaximal, characteristic
24C2×#2440C211yesmaximal, characteristic
25#34212C211yesmaximal, characteristic
26#34212C212yesmaximal
27#34212C211yesmaximal, characteristic
28C2×#2360C211yesmaximal, characteristic
29C4×#543C211yesmaximal, characteristic
30C2×#557C2212yescomplemented
31C2×#543C2211yescharacteristic
32C22×C4⋊Q8C2211yescharacteristic
33C22×#125C2211yescharacteristic
34C22×C22⋊Q8C2212yes—
35C22×C22⋊Q8C2211yescharacteristic
36C22×C4×Q8C2211yescharacteristic
37C23×C4⋊C4C2211yescharacteristic
38#2851C2214yes—
39#2851C2212yes—
40#2851C2214yes—
41#2851C2212yes—
42#2809C2214yescomplemented
43#2806C2214yescomplemented
44#2805C2214yescomplemented
45#2802C2214yescomplemented
46#2802C2214yescomplemented
47#2802C2214yescomplemented
48#2802C2214yescomplemented
49#2799C2214yescomplemented
50#2799C2214yescomplemented
51#2791C2214yescomplemented
52#2791C2214yescomplemented
53#2791C2214yescomplemented
54#2791C2214yescomplemented
55#2774C2214yescomplemented
56#2774C2214yescomplemented
57#2774C2214yescomplemented
58#2774C2214yescomplemented
59#2755C2214yescomplemented
60#2755C2214yescomplemented
61#2726C2214yescomplemented
62#2713C2214yescomplemented
63#2713C2214yescomplemented
64#2713C2214yescomplemented
65#2713C2214yescomplemented
66#2646C2212yes—
67#2646C2214yes—
68#2646C2212yes—
69#2646C2214yes—
70#2590C2214yescomplemented
71#2590C2214yescomplemented
72#2588C2214yescomplemented
73#2588C2214yescomplemented
74#2585C2214yescomplemented
75#2585C2214yescomplemented
76#2584C2214yescomplemented
77#2584C2212yescomplemented
78#2584C2212yescomplemented
79#2583C2214yes—
80#2583C2214yes—
81#2582C2212yescomplemented
82#2581C2212yescomplemented
83#2581C2212yescomplemented
84#2581C2214yescomplemented
85#2569C2214yes—
86#2569C2214yes—
87#2569C2214yes—
88#2569C2214yes—
89#2568C2212yescomplemented
90#2565C2212yescomplemented
91#2565C2214yescomplemented
92#2565C2212yescomplemented
93#2552C2212yescomplemented
94#2552C2214yescomplemented
95#2550C2212yescomplemented
96#2550C2212yescomplemented
97#2550C2214yescomplemented
98#2549C2214yes—
99#2549C2214yes—
100#2549C2214yes—
101#2549C2214yes—
102#2546C2212yescomplemented
103#2546C2214yescomplemented
104#2520C2214yescomplemented
105#2520C2214yescomplemented
106#2511C2214yescomplemented
107#2509C2212yescomplemented
108#2509C2214yescomplemented
109#2509C2214yescomplemented
110#2509C2212yescomplemented
111#2508C2212yescomplemented
112#2508C2214yescomplemented
113#2508C2212yescomplemented
114#2506C2212yescomplemented
115#2506C2214yescomplemented
116#2506C2212yescomplemented
117#2505C2214yes—
118#2505C2214yes—
119#2505C2214yes—
120#2505C2214yes—
121#2505C2214yes—
122#2505C2214yes—
123#2505C2214yes—
124#2505C2214yes—
125#2502C2214yes—
126#2473C2214yes—
127#2473C2214yes—
128#2473C2214yes—
129#2473C2214yes—
130#2473C2214yes—
131#2473C2214yes—
132#2473C2214yes—
133#2473C2214yes—
134#2462C2214yescomplemented
135#2462C2214yescomplemented
136#2453C2212yescomplemented
137#2453C2212yescomplemented
138#2453C2212yescomplemented
139#2453C2212yescomplemented
140#2453C2214yescomplemented
141#2451C2212yescomplemented
142#2451C2212yescomplemented
143#2451C2214yescomplemented
144#2446C2214yescomplemented
145#2442C2214yes—
146#2442C2212yes—
147#2442C2212yes—
148#2442C2214yes—
149#2442C2212yes—
150#2442C2214yes—
151#2442C2212yes—
152#2442C2212yes—
153#2442C2214yes—
154#2442C2212yes—
155#2442C2212yes—
156#2442C2212yes—
157#2440C2214yes—
158#2440C2214yes—
159#2440C2212yes—
160#2440C2214yes—
161#2440C2212yes—
162#2440C2214yes—
163#2440C2212yes—
164#2440C2214yes—
165#2440C2214yes—
166#2440C2212yes—
167#2434C2214yes—
168C2×#400C2212yes—
169C2×#398C2212yes—
170C2×#398C2212yes—
171C2×#395C2212yes—
172#2370C2212yescomplemented
173#2370C2212yescomplemented
174#2368C2214yes—
175#2368C2214yes—
176#2368C2214yes—
177#2368C2214yes—
178#2365C2212yescomplemented
179#2360C2212yes—
180#2360C2212yes—
181#2360C2212yes—
182#2360C2212yes—
183#2360C2214yes—
184#2360C2212yes—
185#2360C2214yes—
186#2360C2212yes—
187#2360C2214yes—
188#2360C2214yes—
189#2360C2212yes—
190#2360C2212yes—
191#2355C2212yescomplemented
192#2351C2212yescomplemented
193#2351C2212yescomplemented
194Q8×C4⋊C4C2212yescomplemented
195#2345C2214yes—
196#2345C2214yes—
197#2345C2212yes—
198#2345C2212yes—
199#2345C2214yes—
200#2345C2214yes—
201#2345C2214yes—
202Q8×C22⋊C4C2214yes—
203Q8×C22⋊C4C2212yes—
204Q8×C22⋊C4C2212yes—
205#2329C2212yes—
206#2329C2214yes—
207#2329C2212yes—
208#2329C2214yes—
209#2329C2212yes—
210#2329C2212yes—
211#2329C2212yes—
212#2329C2212yes—
213#2329C2212yes—
214#2329C2212yes—
215#2329C2212yes—
216#2329C2212yes—
217#2315C2211yescharacteristic
218#2315C2212yes—
219#2315C2212yes—
220#2315C2211yescharacteristic
221#2315C2211yescharacteristic
222#2315C2212yes—
223#2315C2212yes—
224C4×C22⋊Q8C2214yes—
225C4×C22⋊Q8C2212yes—
226C4×C22⋊Q8C2212yes—
227C4×C22⋊Q8C2212yes—
228C4×C22⋊Q8C2214yes—
229C4×C22⋊Q8C2212yes—
230C4×C22⋊Q8C2212yes—
231C4×C22⋊Q8C2212yes—
232C4×C22⋊Q8C2212yes—
233C4×C22⋊Q8C2212yes—
234C4×C22⋊Q8C2212yes—
235C4×C22⋊Q8C2212yes—
236C2×#391C2211yescharacteristic
237C2×#389C2212yes—
238C2×#389C2211yescharacteristic
239C2×#389C2211yescharacteristic
240C2×#389C2211yescharacteristic
241C2×#389C2211yescharacteristic
242C2×#389C2211yescharacteristic
243C2×#387C2212yes—
244C2×#385C2212yes—
245C2×#385C2212yes—
246C2×#385C2212yes—
247C2×#384C2211yescharacteristic
248C2×#382C2211yescharacteristic
249C2×#380C2212yes—
250C2×#380C2211yescharacteristic
251C2×#380C2211yescharacteristic
252#2273C2212yes—
253#2273C2212yes—
254C2×C4×C4⋊C4C2211yescharacteristic
255C2×C4×C22⋊C4C2211yescharacteristic
256C2×C4×C22⋊C4C2211yescharacteristic
257C2×C4×C22⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2212yes—
259C23×Q8C2312yes—
260C23×Q8C2311yescharacteristic
261C24×C4C2312yes—
262C24×C4C2311yescharacteristic
263#557—48no—
264#543—28no—
265C2×C4⋊Q8—44no—
266C2×C4⋊Q8C2312yes—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2314yes—
269C2×C4⋊Q8C2314yes—
270C2×C4⋊Q8C2314yes—
271C2×#125—44no—
272C2×#125C2312yes—
273C2×#125C2312yes—
274C2×#125C2312yes—
275C2×#125C2314yes—
276C2×#125C2312yes—
277C2×#125C2314yes—
278C2×#125C2314yes—
279C2×#125C2314yes—
280C2×#125C2314yes—
281C2×C22⋊Q8—216no—
282C2×C22⋊Q8Q8116yescomplemented
283C2×C22⋊Q8C2312yes—
284C2×C22⋊Q8C2312yes—
285C2×C22⋊Q8C2314yes—
286C2×C22⋊Q8C2312yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2314yes—
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2314yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2312yes—
297C2×C4×Q8—44no—
298C2×C4×Q8C2312yes—
299C2×C4×Q8C2312yes—
300C2×C4×Q8C2314yes—
301C2×C4×Q8C2312yes—
302C2×C4×Q8C2312yes—
303C2×C4×Q8C2312yes—
304C2×C4×Q8C2312yes—
305C2×C4×Q8C2312yes—
306C2×C4×Q8C2314yes—
307C2×C4×Q8C2312yes—
308C2×C4×Q8C2314yes—
309C22×C4⋊C4—44no—
310C22×C4⋊C4C2312yes—
311C22×C4⋊C4C2312yes—
312C22×C4⋊C4C2312yes—
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2312yes—
317C22×C4⋊C4C2312yes—
318C22×C4⋊C4C2312yes—
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2312yes—
326C22×C4⋊C4C2312yes—
327C22×C4⋊C4C2312yes—
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2312yes—
330C22×C4⋊C4C2312yes—
331C22×C4⋊C4C2312yes—
332C22×C4⋊C4C2312yes—
333C22×C4⋊C4C2312yes—
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2312yes—
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2312yes—
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2312yes—
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2312yes—
344C22×C22⋊C4C2311yescharacteristic
345C22×C42C2312yes—
346C22×C42C2311yescharacteristic
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2312yes—
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#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
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#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#395C2314yes—
414#395C2314yes—
415#395C2314yes—
416#395C2314yes—
417#395C2314yes—
418#395C2314yes—
419#395C2314yes—
420#395C2314yes—
421#395C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#391C2312yes—
426#391C2312yes—
427#391C2312yes—
428#391C2314yes—
429#391C2314yes—
430#391C2312yes—
431#391C2314yes—
432#391C2314yes—
433#391C2314yes—
434#391C2314yes—
435#391C2312yes—
436#391C2312yes—
437#391C2314yes—
438#391C2312yes—
439#391C2312yes—
440#391C2312yes—
441#391C2312yes—
442#391C2312yes—
443#391C2312yes—
444#391C2314yes—
445#391C2314yes—
446#391C2314yes—
447#391C2314yes—
448#391C2314yes—
449#391C2314yes—
450#391C2314yes—
451#391C2314yes—
452#389C2314yes—
453#389C2312yes—
454#389C2312yes—
455#389C2314yes—
456#389C2312yes—
457#389C2312yes—
458#389C2314yes—
459#389C2312yes—
460#389C2312yes—
461#389C2314yes—
462#389C2314yes—
463#389C2314yes—
464#389C2314yes—
465#389C2314yes—
466#389C2314yes—
467#389C2314yes—
468#389C2312yes—
469#389C2314yes—
470#389C2314yes—
471#389C2314yes—
472#389C2314yes—
473#389C2314yes—
474#389C2314yes—
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2314yes—
482#389C2314yes—
483#389C2312yes—
484#389C2312yes—
485#389C2314yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2314yes—
492#389C2314yes—
493#389C2314yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2312yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2312yes—
504#389C2314yes—
505#389C2314yes—
506#389C2312yes—
507#389C2314yes—
508#389C2314yes—
509#389C2312yes—
510#389C2314yes—
511#387C2312yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#387C2314yes—
520#387C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2312yes—
529#387C2314yes—
530#387C2314yes—
531#387C2312yes—
532#387C2312yes—
533#387C2312yes—
534#387C2312yes—
535#387C2312yes—
536#387C2312yes—
537#387C2312yes—
538#387C2312yes—
539#387C2312yes—
540#387C2312yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
574#385C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2312yes—
580#385C2312yes—
581#385C2314yes—
582#385C2312yes—
583#385C2312yes—
584#385C2314yes—
585#385C2312yes—
586#385C2312yes—
587#385C2314yes—
588#385C2312yes—
589#385C2312yes—
590#385C2312yes—
591#385C2312yes—
592#385C2312yes—
593#385C2312yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#384C2312yes—
612#384C2312yes—
613#384C2314yes—
614#384C2314yes—
615#384C2314yes—
616#382C2312yes—
617#382C2312yes—
618#382C2314yes—
619#382C2312yes—
620#382C2312yes—
621#382C2314yes—
622#382C2314yes—
623#382C2314yes—
624#382C2314yes—
625#380C2312yes—
626#380C2312yes—
627#380C2312yes—
628#380C2314yes—
629#380C2314yes—
630#380C2314yes—
631#380C2314yes—
632#380C2314yes—
633#380C2314yes—
634#380C2314yes—
635#380C2314yes—
636#380C2312yes—
637#380C2312yes—
638#380C2312yes—
639#380C2312yes—
640#380C2312yes—
641#380C2314yes—
642#380C2314yes—
643#380C2312yes—
644#380C2312yes—
645#380C2314yes—
646#380C2312yes—
647#380C2312yes—
648#380C2314yes—
649#380C2312yes—
650#380C2312yes—
651C4×C4⋊C4C2314yes—
652C4×C4⋊C4C2312yes—
653C4×C4⋊C4C2312yes—
654C4×C4⋊C4C2312yes—
655C4×C4⋊C4C2314yes—
656C4×C4⋊C4C2312yes—
657C4×C4⋊C4C2312yes—
658C4×C4⋊C4C2314yes—
659C4×C4⋊C4C2314yes—
660C4×C4⋊C4C2314yes—
661C4×C4⋊C4C2314yes—
662C4×C4⋊C4C2314yes—
663C4×C4⋊C4C2314yes—
664C4×C4⋊C4C2314yes—
665C4×C4⋊C4C2314yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2314yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2312yes—
674C4×C22⋊C4C2312yes—
675C4×C22⋊C4C2312yes—
676C4×C22⋊C4C2314yes—
677C4×C22⋊C4C2314yes—
678C4×C22⋊C4C2314yes—
679C4×C22⋊C4C2314yes—
680C4×C22⋊C4C2312yes—
681C4×C22⋊C4C2312yes—
682C4×C22⋊C4C2312yes—
683C4×C22⋊C4C2312yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2312yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C2×#95C2312yes—
703C2×#95C2312yes—
704C2×#95C2312yes—
705C2×#95C2312yes—
706C2×#95C2311yescharacteristic
707C2×#95C2311yescharacteristic
708C2×#95C2311yescharacteristic
709C2×#95C2311yescharacteristic
710C2×#95C2311yescharacteristic
711C2×#95C2312yes—
712C2×#95C2311yescharacteristic
713C2×#95C2312yes—
714C2×#95C2312yes—
715C2×#95C2312yes—
716C2×#95C2312yes—
717C2×#95C2312yes—
718C2×#95C2312yes—
719C2×#95C2312yes—
720C25C2411yescharacteristic
721C22×Q8—28no—
722C22×Q8—42no—
723C22×Q8—42no—
724C22×Q8—44no—
725C22×Q8—82no—
726C22×Q8C2×Q818yescomplemented
727C22×Q8C2414yes—
728C22×Q8C2412yes—
729C22×Q8C2412yes—
730C22×Q8C2412yes—
731C22×Q8C2414yes—
732C22×Q8C2412yes—
733C23×C4—28no—
734C23×C4—42no—
735C23×C4—42no—
736C23×C4—44no—
737C23×C4—82no—
738C23×C4C2×Q818yes—
739C23×C4C2412yes—
740C23×C4C2412yes—
741C23×C4C2412yes—
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2411yescharacteristic
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2412yes—
750C23×C4C2412yes—
751C23×C4C2411yescharacteristic
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2411yescharacteristic
755C23×C4C2411yescharacteristic
756C23×C4C2411yescharacteristic
757C23×C4C2411yescharacteristic
758C23×C4C2411yescharacteristic
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2411yescharacteristic
769C4⋊Q8—28no—
770C4⋊Q8—44no—
771C4⋊Q8—48no—
772C4⋊Q8—48no—
773C4⋊Q8—84no—
774#125—28no—
775#125—44no—
776#125—44no—
777#125—44no—
778#125—48no—
779#125—48no—
780#125—48no—
781#125—84no—
782#125—84no—
783C22⋊Q8—28no—
784C22⋊Q8—28no—
785C22⋊Q8—216no—
786C22⋊Q8—216no—
787C22⋊Q8—216no—
788C22⋊Q8—216no—
789C22⋊Q8—28no—
790C22⋊Q8—28no—
791C22⋊Q8—28no—
792C22⋊Q8—28no—
793C22⋊Q8C2×Q8116yes—
794C22⋊Q8C2×Q8116yes—
795C22⋊Q8C2×Q8116yescomplemented
796C22⋊Q8C2×Q8116yescomplemented
797C4×Q8—28no—
798C4×Q8—44no—
799C4×Q8—44no—
800C4×Q8—48no—
801C4×Q8—44no—
802C4×Q8—44no—
803C4×Q8—44no—
804C4×Q8—48no—
805C4×Q8—44no—
806C4×Q8—44no—
807C4×Q8—84no—
808C2×C4⋊C4—28no—
809C2×C4⋊C4—28no—
810C2×C4⋊C4—28no—
811C2×C4⋊C4—24no—
812C2×C4⋊C4—24no—
813C2×C4⋊C4—24no—
814C2×C4⋊C4—42no—
815C2×C4⋊C4—44no—
816C2×C4⋊C4—42no—
817C2×C4⋊C4—44no—
818C2×C4⋊C4—42no—
819C2×C4⋊C4—44no—
820C2×C4⋊C4—42no—
821C2×C4⋊C4—42no—
822C2×C4⋊C4—44no—
823C2×C4⋊C4—42no—
824C2×C4⋊C4—44no—
825C2×C4⋊C4—44no—
826C2×C4⋊C4—42no—
827C2×C4⋊C4—44no—
828C2×C4⋊C4—82no—
829C2×C4⋊C4—82no—
830C2×C4⋊C4—82no—
831C2×C4⋊C4—82no—
832C2×C4⋊C4C2×Q818yescomplemented
833C2×C4⋊C4C2×Q8116yescomplemented
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C22⋊C4—28no—
913C2×C22⋊C4—24no—
914C2×C22⋊C4—24no—
915C2×C22⋊C4—24no—
916C2×C22⋊C4—24no—
917C2×C22⋊C4—28no—
918C2×C22⋊C4—24no—
919C2×C22⋊C4C2×Q8116yes—
920C2×C22⋊C4#4118yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C42—42no—
940C2×C42—44no—
941C2×C42—42no—
942C2×C42—42no—
943C2×C42—42no—
944C2×C42—42no—
945C2×C42—42no—
946C2×C42—82no—
947C2×C42C2412yes—
948C2×C42C2414yes—
949C2×C42C2412yes—
950C2×C42C2412yes—
951C2×C42C2412yes—
952C2×C42C2412yes—
953C2×C42C2412yes—
954C2×C42C2414yes—
955C2×C42C2414yes—
956C2×C42C2414yes—
957C2×C42C2412yes—
958C2×C42C2414yes—
959C2×C42C2414yes—
960C2×C42C2414yes—
961C2×C42C2414yes—
962C2×C42C2414yes—
963C2×C42C2412yes—
964C2×C42C2414yes—
965C2×C42C2412yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2412yes—
969C2×C42C2412yes—
970C2×C42C2412yes—
971#95C2412yes—
972#95C2412yes—
973#95C2414yes—
974#95C2412yes—
975#95C2412yes—
976#95C2412yes—
977#95C2412yes—
978#95C2414yes—
979#95C2412yes—
980#95C2412yes—
981#95C2412yes—
982#95C2412yes—
983#95C2412yes—
984#95C2412yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2414yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043C24—41no—
1044C24—41no—
1045C24—41no—
1046C24—41no—
1047C24C22×Q814yes—
1048C24C2×#4114yes—
1049C242−1+414yes—
1050C24C2511yescharacteristic
1051C24C2511yescharacteristic
1052C24C2511yescharacteristic
1053C2×Q8—28no—
1054C2×Q8—24no—
1055C2×Q8—24no—
1056C2×Q8—28no—
1057C2×Q8—24no—
1058C2×Q8—28no—
1059C2×Q8—24no—
1060C2×Q8—42no—
1061C2×Q8—44no—
1062C2×Q8—42no—
1063C2×Q8—42no—
1064C2×Q8—42no—
1065C2×Q8—44no—
1066C2×Q8—42no—
1067C2×Q8—44no—
1068C2×Q8—42no—
1069C2×Q8—416no—
1070C2×Q8—816no—
1071C2×Q8C22×Q818yes—
1072C2×Q8C22×Q818yes—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—24no—
1080C22×C4—24no—
1081C22×C4—24no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—24no—
1087C22×C4—24no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—24no—
1093C22×C4—24no—
1094C22×C4—24no—
1095C22×C4—24no—
1096C22×C4—24no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—24no—
1102C22×C4—416no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—42no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—42no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—42no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—41no—
1142C22×C4—42no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—42no—
1146C22×C4—42no—
1147C22×C4—42no—
1148C22×C4—42no—
1149C22×C4—41no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—816no—
1155C22×C4C22×Q814yes—
1156C22×C4C22×Q814yes—
1157C22×C4C22×Q814yes—
1158C22×C4C22×Q818yes—
1159C22×C4C22×Q818yes—
1160C22×C4C22×Q814yes—
1161C22×C4C22×Q814yes—
1162C22×C4C22×Q814yes—
1163C22×C4C2×#4114yes—
1164C22×C4C2×#4114yes—
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2514yes—
1172C22×C4C2512yes—
1173C22×C4C2514yes—
1174C22×C4C2512yes—
1175C22×C4C2514yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2514yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2514yes—
1184C22×C4C2514yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C4⋊C4—28no—
1192C4⋊C4—28no—
1193C4⋊C4—28no—
1194C4⋊C4—28no—
1195C4⋊C4—28no—
1196C4⋊C4—28no—
1197C4⋊C4—24no—
1198C4⋊C4—24no—
1199C4⋊C4—24no—
1200C4⋊C4—24no—
1201C4⋊C4—24no—
1202C4⋊C4—24no—
1203C4⋊C4—24no—
1204C4⋊C4—22no—
1205C4⋊C4—24no—
1206C4⋊C4—22no—
1207C4⋊C4—24no—
1208C4⋊C4—22no—
1209C4⋊C4—28no—
1210C4⋊C4—28no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—28no—
1214C4⋊C4—28no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—42no—
1222C4⋊C4—44no—
1223C4⋊C4—42no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—42no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—44no—
1250C4⋊C4—42no—
1251C4⋊C4—44no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4C22×Q818yes—
1265C4⋊C4C22×Q818yes—
1266C4⋊C4C22×Q8116yes—
1267C4⋊C4C22×Q8116yes—
1268C4⋊C4H(5,𝔽2)14yes—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—24no—
1272C22⋊C4—24no—
1273C22⋊C4—24no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—24no—
1282C22⋊C4—24no—
1283C22⋊C4C22×Q8116yes—
1284C22⋊C4C22×Q8116yes—
1285C22⋊C4C2×#4118yes—
1286C22⋊C4C2×#4118yes—
1287C42—28no—
1288C42—24no—
1289C42—24no—
1290C42—24no—
1291C42—24no—
1292C42—24no—
1293C42—24no—
1294C42—42no—
1295C42—42no—
1296C42—42no—
1297C42—44no—
1298C42—42no—
1299C42—42no—
1300C42—42no—
1301C42—44no—
1302C42—44no—
1303C42—44no—
1304C42—44no—
1305C42—44no—
1306C42—44no—
1307C42—44no—
1308C42—44no—
1309C42—44no—
1310C42—44no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—44no—
1324C23—44no—
1325C23—44no—
1326C23—44no—
1327C23—44no—
1328C23—44no—
1329C23#557116yescomplemented
1330C23C23×Q812yes—
1331C23C23×Q812yes—
1332C23C23×Q812yes—
1333C23C22×#4112yes—
1334C23C22×#4112yes—
1335C23C22×#4112yes—
1336C23C2×2−1+412yes—
1337C23C2×2−1+412yes—
1338C23C2×2−1+412yes—
1339C23C2611yescharacteristic
1340Q8—216no—
1341Q8—48no—
1342Q8—416no—
1343Q8—84no—
1344Q8—84no—
1345Q8—88no—
1346C2×C4—22no—
1347C2×C4—24no—
1348C2×C4—22no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—22no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—24no—
1356C2×C4—21no—
1357C2×C4—24no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—24no—
1361C2×C4—22no—
1362C2×C4—28no—
1363C2×C4—28no—
1364C2×C4—28no—
1365C2×C4—24no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—24no—
1381C2×C4—24no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—24no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—24no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—24no—
1398C2×C4—24no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—24no—
1403C2×C4—24no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—48no—
1420C2×C4—48no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—48no—
1424C2×C4—48no—
1425C2×C4—48no—
1426C2×C4—44no—
1427C2×C4—44no—
1428C2×C4—44no—
1429C2×C4—44no—
1430C2×C4—82no—
1431C2×C4—82no—
1432C2×C4—84no—
1433C2×C4—82no—
1434C2×C4—82no—
1435C2×C4—82no—
1436C2×C4—84no—
1437C2×C4—82no—
1438C2×C4—84no—
1439C2×C4—84no—
1440C2×C4—84no—
1441C2×C4—84no—
1442C2×C4—84no—
1443C2×C4C23×Q818yes—
1444C2×C4C23×Q818yes—
1445C2×C4C23×Q812yes—
1446C2×C4C23×Q812yes—
1447C2×C4C23×Q812yes—
1448C2×C4C23×Q812yes—
1449C2×C4C22×#4114yes—
1450C2×C4C22×#4114yes—
1451C2×C4C2×H(5,𝔽2)14yes—
1452C2×C4C2×H(5,𝔽2)12yes—
1453C2×C4#58512yes—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—416no—
1473C22C2×#55714yes—
1474C22C2×#55714yes—
1475C22C2×#55714yes—
1476C22C24×Q811yescharacteristic
1477C22C23×#4111yescharacteristic
1478C22C22×H(5,𝔽2)11yescharacteristic
1479C22C22×2−1+411yescharacteristic
1480C22C2×#58511yescharacteristic
1481C22H(7,𝔽2)11yescharacteristic
1482C222−1+611yescharacteristic
1483C4—24no—
1484C4—24no—
1485C4—24no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—28no—
1490C4—28no—
1491C4—42no—
1492C4—42no—
1493C4—42no—
1494C4—44no—
1495C4—42no—
1496C4—42no—
1497C4—44no—
1498C4—42no—
1499C4—42no—
1500C4—42no—
1501C4—42no—
1502C4—42no—
1503C4—44no—
1504C4—42no—
1505C4—42no—
1506C4—42no—
1507C4—44no—
1508C4#350114yes—
1509C2—24no—
1510C2—24no—
1511C2—24no—
1512C2C22×#55711yescharacteristic
1513C2C2×#350111yescharacteristic
1514C2#6285411yescharacteristic
1515C2#6289311yescharacteristic
1516C2#6290211yescharacteristic
1517C2#6298311yescharacteristic
1518C2#6299111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC25C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59868C2semidirect
2. #59868C2semidirect
3. #59664C2semidirect
4. #59663C2semidirect
5. #59325C2semidirect
6. #59321C2semidirect
7. #59154C2semidirect
8. #59144C2semidirect
9. #43556C2semidirect
10. #43552C2semidirect
11. #43129C2semidirect
12. #43125C2semidirect
13. #39179C2semidirect
14. #39178C2semidirect
15. #39178C2semidirect
16. #39175C2semidirect
17. #36519C2semidirect
18. #36435C2semidirect
30. C2×#557C22semidirect
42. #2809C22semidirect
43. #2806C22semidirect
44. #2805C22semidirect
45. #2802C22semidirect
46. #2802C22semidirect
47. #2802C22semidirect
48. #2802C22semidirect
49. #2799C22semidirect
50. #2799C22semidirect
51. #2791C22semidirect
52. #2791C22semidirect
53. #2791C22semidirect
54. #2791C22semidirect
55. #2774C22semidirect
56. #2774C22semidirect
57. #2774C22semidirect
58. #2774C22semidirect
59. #2755C22semidirect
60. #2755C22semidirect
61. #2726C22semidirect
62. #2713C22semidirect
63. #2713C22semidirect
64. #2713C22semidirect
65. #2713C22semidirect
70. #2590C22semidirect
71. #2590C22semidirect
72. #2588C22semidirect
73. #2588C22semidirect
74. #2585C22semidirect
75. #2585C22semidirect
76. #2584C22semidirect
77. #2584C22semidirect
78. #2584C22semidirect
81. #2582C22semidirect
82. #2581C22semidirect
83. #2581C22semidirect
84. #2581C22semidirect
89. #2568C22semidirect
90. #2565C22semidirect
91. #2565C22semidirect
92. #2565C22semidirect
93. #2552C22semidirect
94. #2552C22semidirect
95. #2550C22semidirect
96. #2550C22semidirect
97. #2550C22semidirect
102. #2546C22semidirect
103. #2546C22semidirect
104. #2520C22semidirect
105. #2520C22semidirect
106. #2511C22semidirect
107. #2509C22semidirect
108. #2509C22semidirect
109. #2509C22semidirect
110. #2509C22semidirect
111. #2508C22semidirect
112. #2508C22semidirect
113. #2508C22semidirect
114. #2506C22semidirect
115. #2506C22semidirect
116. #2506C22semidirect
134. #2462C22semidirect
135. #2462C22semidirect
136. #2453C22semidirect
137. #2453C22semidirect
138. #2453C22semidirect
139. #2453C22semidirect
140. #2453C22semidirect
141. #2451C22semidirect
142. #2451C22semidirect
143. #2451C22semidirect
144. #2446C22semidirect
172. #2370C22semidirect
173. #2370C22semidirect
178. #2365C22semidirect
191. #2355C22semidirect
192. #2351C22semidirect
193. #2351C22semidirect
194. Q8×C4⋊C4C22semidirect
282. C2×C22⋊Q8Q8semidirect
726. C22×Q8C2×Q8semidirect
795. C22⋊Q8C2×Q8semidirect
796. C22⋊Q8C2×Q8semidirect
832. C2×C4⋊C4C2×Q8semidirect
833. C2×C4⋊C4C2×Q8semidirect
1329. C23#557semidirect

Maximal subgroups

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

subgroupindex
#598682
#596642
#596632
#593252
#593212
#591542
#591442
#435562
#435522
#431292
#431252
#391792
#391782
#391752
#365192
#364352
#353912
#353682
#350202
#349942
C2×#24422
C2×#24402
#342122
C2×#23602
C4×#5432