Finite Group Databasebeta

← #7732008

Subgroups — #7732008

Order 512.

4982 conjugacy classes of subgroups.

The subgroup lattice has 1537 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#47982C214yesmaximal, complemented
2#47981C214yesmaximal, complemented
3#47022C214yesmaximal, complemented
4#46443C214yesmaximal, complemented
5#43081C214yesmaximal, complemented
6#43025C214yesmaximal, complemented
7#39679C212yesmaximal, complemented
8#39668C212yesmaximal, complemented
9#39624C212yesmaximal, complemented
10#39610C212yesmaximal, complemented
11#39493C212yesmaximal, complemented
12#38964C212yesmaximal, complemented
13#38099C212yesmaximal, complemented
14#38098C212yesmaximal, complemented
15#37875C212yesmaximal, complemented
16#37690C212yesmaximal, complemented
17#37477C211yesmaximal, characteristic, complemented
18#37314C212yesmaximal, complemented
19#37306C212yesmaximal, complemented
20#36261C212yesmaximal, complemented
21#36129C212yesmaximal, complemented
22#35578C212yesmaximal, complemented
23#35519C212yesmaximal, complemented
24#35253C211yesmaximal, characteristic, complemented
25#35002C211yesmaximal, characteristic, complemented
26C2×#2439C211yesmaximal, characteristic, complemented
27#34360C211yesmaximal, characteristic
28#34202C211yesmaximal, characteristic
29#34082C211yesmaximal, characteristic
30C2×#554C2214yes—
31C2×#544C2211yescharacteristic
32C2×#543C2212yes—
33C2×#533C2212yescomplemented
34C22×C4⋊Q8C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C2×#520C2211yescharacteristic
37C22×#117C2211yescharacteristic
38#2862C2212yescomplemented
39#2859C2212yescomplemented
40#2857C2212yes—
41#2857C2212yes—
42#2857C2212yes—
43#2857C2212yescomplemented
44#2857C2212yescomplemented
45#2851C2212yes—
46#2841C2214yes—
47#2811C2214yescomplemented
48#2809C2214yescomplemented
49#2807C2214yescomplemented
50#2806C2214yescomplemented
51#2806C2214yescomplemented
52#2806C2214yescomplemented
53#2805C2214yescomplemented
54#2804C2214yes—
55#2804C2214yes—
56#2802C2214yescomplemented
57#2792C2214yescomplemented
58#2788C2214yes—
59#2788C2214yes—
60#2774C2214yescomplemented
61#2774C2214yescomplemented
62#2774C2214yescomplemented
63#2768C2214yescomplemented
64#2763C2214yes—
65#2763C2214yes—
66#2763C2214yescomplemented
67#2763C2214yescomplemented
68#2755C2214yescomplemented
69#2755C2214yescomplemented
70#2732C2214yes—
71#2729C2214yes—
72#2729C2214yescomplemented
73#2720C2214yes—
74#2720C2214yescomplemented
75#2713C2214yescomplemented
76#2704C2214yes—
77#2704C2214yes—
78#2704C2214yescomplemented
79#2692C2214yes—
80#2692C2214yes—
81#2692C2214yes—
82#2692C2214yescomplemented
83#2692C2214yescomplemented
84#2683C2214yes—
85#2683C2214yes—
86#2677C2214yescomplemented
87#2660C2212yescomplemented
88#2659C2212yes—
89#2659C2212yes—
90#2659C2212yes—
91#2659C2212yes—
92#2647C2212yescomplemented
93#2646C2212yes—
94#2646C2212yes—
95#2629C2212yes—
96#2629C2212yes—
97#2628C2212yes—
98#2628C2212yes—
99#2628C2212yescomplemented
100#2628C2212yescomplemented
101#2590C2214yescomplemented
102#2589C2214yes—
103#2589C2214yes—
104#2589C2214yescomplemented
105#2586C2214yescomplemented
106#2584C2214yescomplemented
107#2583C2214yes—
108#2583C2214yescomplemented
109#2582C2214yescomplemented
110#2581C2214yescomplemented
111#2580C2214yes—
112#2580C2214yes—
113#2571C2212yescomplemented
114#2570C2212yescomplemented
115#2570C2212yescomplemented
116#2567C2214yescomplemented
117#2564C2214yes—
118#2564C2214yes—
119#2556C2214yes—
120#2552C2212yescomplemented
121#2551C2212yescomplemented
122#2551C2212yescomplemented
123#2550C2212yescomplemented
124#2550C2212yescomplemented
125#2550C2214yescomplemented
126#2549C2214yes—
127#2549C2214yes—
128#2549C2214yes—
129#2549C2214yes—
130#2549C2214yescomplemented
131#2549C2214yescomplemented
132#2538C2214yes—
133#2508C2214yescomplemented
134#2505C2214yes—
135#2505C2214yes—
136#2492C2214yescomplemented
137#2473C2214yescomplemented
138#2465C2214yes—
139#2465C2214yes—
140#2465C2214yes—
141#2465C2214yescomplemented
142#2462C2214yescomplemented
143#2462C2214yescomplemented
144#2452C2214yes—
145#2451C2214yescomplemented
146#2451C2214yescomplemented
147#2451C2214yescomplemented
148#2450C2214yes—
149#2450C2214yes—
150#2450C2214yes—
151#2450C2214yescomplemented
152#2449C2214yes—
153#2449C2214yes—
154#2449C2214yescomplemented
155#2446C2214yescomplemented
156#2442C2212yes—
157#2442C2212yes—
158#2442C2212yes—
159#2442C2212yescomplemented
160#2441C2212yes—
161#2441C2212yescomplemented
162#2440C2214yes—
163#2440C2212yes—
164#2440C2212yes—
165#2440C2212yes—
166#2440C2212yes—
167#2440C2212yes—
168#2440C2212yes—
169#2440C2212yes—
170#2440C2212yescomplemented
171#2440C2212yescomplemented
172#2440C2212yescomplemented
173#2439C2212yes—
174#2439C2212yes—
175#2439C2214yes—
176#2439C2214yes—
177#2439C2212yes—
178#2439C2212yes—
179#2439C2212yes—
180#2439C2212yescomplemented
181#2439C2212yescomplemented
182#2439C2212yescomplemented
183#2438C2214yes—
184#2437C2214yes—
185#2437C2214yes—
186#2429C2214yes—
187#2429C2214yes—
188#2429C2214yescomplemented
189#2417C2214yes—
190#2417C2214yes—
191#2409C2214yes—
192C2×#396C2212yes—
193C2×#393C2212yes—
194#2376C2214yes—
195#2360C2214yes—
196#2359C2214yes—
197#2358C2214yes—
198#2358C2214yes—
199#2354C2212yes—
200#2352C2212yes—
201#2352C2212yes—
202#2352C2212yes—
203#2352C2212yes—
204#2349C2214yes—
205D4×C4⋊C4C2212yes—
206D4×C4⋊C4C2212yes—
207D4×C4⋊C4C2212yes—
208Q8×C22⋊C4C2214yes—
209#2335C2212yes—
210#2335C2212yes—
211#2333C2212yes—
212#2332C2212yes—
213#2331C2212yescomplemented
214#2330C2212yescomplemented
215#2329C2211yescharacteristic
216#2329C2211yescharacteristic
217#2329C2212yes—
218#2329C2212yes—
219#2325C2211yescharacteristic
220#2325C2211yescharacteristic
221#2325C2212yes—
222#2325C2212yes—
223#2324C2212yes—
224#2323C2212yes—
225#2321C2212yes—
226#2321C2212yes—
227#2317C2211yescharacteristic
228#2317C2211yescharacteristic
229#2317C2211yescharacteristic
230#2317C2212yescomplemented
231#2317C2212yescomplemented
232#2316C2211yescharacteristic
233#2315C2212yes—
234#2314C2212yes—
235#2311C2212yes—
236#2311C2211yescharacteristic
237C4×C4⋊Q8C2212yescomplemented
238C4×C4⋊Q8C2212yescomplemented
239C4×C22⋊Q8C2212yes—
240C4×#121C2212yes—
241#2298C2212yes—
242#2297C2212yes—
243C2×#391C2212yes—
244#2293C2212yes—
245C2×#389C2211yescharacteristic
246C2×#389C2211yescharacteristic
247C2×#389C2212yescomplemented
248#2290C2212yes—
249#2290C2212yes—
250C2×#387C2212yes—
251C2×#382C2211yescharacteristic
252#2280C2211yescharacteristic
253C2×#380C2211yescharacteristic
254C2×#380C2211yescharacteristic
255C2×#380C2211yescharacteristic
256#2274C2211yescharacteristic
257C42×D4C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C23×Q8C2312yes—
261C24×C4C2311yescharacteristic
262#554—416no—
263#544—44no—
264#543—48no—
265#533—48no—
266C2×C4⋊Q8—44no—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2312yes—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2312yes—
271C2×C4⋊Q8C2312yes—
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2312yes—
274C2×C4⋊Q8C2314yes—
275C2×C4⋊Q8C2314yes—
276C2×C4⋊Q8C2314yes—
277C2×#125C2312yes—
278C2×#125C2314yes—
279C2×#125C2312yes—
280C2×#125C2312yes—
281C2×#125C2314yes—
282#525Q8116yescomplemented
283C2×#123C2312yes—
284C2×C22⋊Q8C2314yes—
285C2×C22⋊Q8C2314yes—
286C2×C22⋊Q8C2314yes—
287C2×C22⋊Q8C2314yes—
288C2×C22⋊Q8C2314yes—
289C2×C22⋊Q8C2314yes—
290C2×C22⋊Q8C2314yes—
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2314yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#120C2312yes—
306#520—44no—
307C2×C4×Q8C2314yes—
308C2×C4×Q8C2312yes—
309C2×C4×Q8C2314yes—
310C2×C4×Q8C2314yes—
311C2×C4×Q8C2314yes—
312C2×C4×D4C2312yes—
313C2×C4×D4C2312yes—
314C2×C4×D4C2314yes—
315C2×C4×D4C2314yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2314yes—
318C2×C4×D4C2314yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2312yes—
321C2×#117—44no—
322C2×#117C2311yescharacteristic
323C2×#117C2312yes—
324C2×#117C2311yescharacteristic
325C2×#117C2311yescharacteristic
326C2×#117C2312yes—
327C2×#117C2311yescharacteristic
328C2×#117C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2312yes—
331C2×#117C2312yes—
332C2×#117C2312yes—
333C2×#117C2311yescharacteristic
334C22×C4⋊C4C2312yes—
335C22×C4⋊C4C2311yescharacteristic
336C22×C4⋊C4C2312yes—
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2311yescharacteristic
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2312yes—
342C22×C4⋊C4C2314yes—
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2312yes—
347C22×C4⋊C4C2312yes—
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2312yes—
351C22×C22⋊C4C2312yes—
352C22×C22⋊C4C2312yes—
353C22×C22⋊C4C2312yes—
354C22×C42C2312yes—
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2312yes—
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#399C2314yes—
372#399C2314yes—
373#399C2314yes—
374#399C2314yes—
375#399C2314yes—
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#396C2314yes—
403#396C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#395C2314yes—
415#395C2314yes—
416#395C2314yes—
417#395C2314yes—
418#395C2314yes—
419#395C2314yes—
420#395C2314yes—
421#395C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#393C2314yes—
436#393C2314yes—
437#393C2314yes—
438#393C2314yes—
439#393C2314yes—
440#393C2314yes—
441#393C2314yes—
442#393C2314yes—
443#393C2314yes—
444#393C2314yes—
445#393C2314yes—
446#391C2314yes—
447#391C2314yes—
448#391C2312yes—
449#391C2314yes—
450#391C2314yes—
451#391C2314yes—
452#391C2312yes—
453#391C2312yes—
454#391C2314yes—
455#391C2314yes—
456#391C2314yes—
457#391C2314yes—
458#391C2314yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#390C2312yes—
473#390C2314yes—
474#390C2312yes—
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2314yes—
479#389C2312yes—
480#389C2312yes—
481#389C2314yes—
482#389C2312yes—
483#389C2314yes—
484#389C2312yes—
485#389C2312yes—
486#389C2314yes—
487#389C2314yes—
488#389C2314yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2314yes—
503#389C2314yes—
504#389C2312yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2314yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2312yes—
533#388C2312yes—
534#388C2312yes—
535#388C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2312yes—
539#388C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2312yes—
544#388C2314yes—
545#388C2312yes—
546#388C2314yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2312yes—
560#387C2312yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2312yes—
574#387C2312yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#386C2312yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2312yes—
589#386C2312yes—
590#386C2312yes—
591#386C2312yes—
592#386C2312yes—
593#386C2314yes—
594#386C2312yes—
595#386C2312yes—
596#386C2314yes—
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#385C2312yes—
611#385C2312yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2312yes—
618#385C2312yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#384C2312yes—
629#384C2312yes—
630#384C2312yes—
631#384C2314yes—
632#384C2312yes—
633#384C2312yes—
634#384C2312yes—
635#384C2312yes—
636#382C2312yes—
637#382C2312yes—
638#382C2312yes—
639#382C2312yes—
640#382C2312yes—
641#382C2314yes—
642#382C2312yes—
643#382C2312yes—
644#382C2314yes—
645#382C2314yes—
646#382C2314yes—
647#381C2312yes—
648#380C2314yes—
649#380C2314yes—
650#380C2314yes—
651#380C2312yes—
652#380C2312yes—
653#380C2312yes—
654#380C2312yes—
655#380C2312yes—
656#380C2312yes—
657#380C2314yes—
658#380C2314yes—
659#380C2312yes—
660#380C2312yes—
661#380C2311yescharacteristic
662#380C2312yes—
663#380C2311yescharacteristic
664#380C2311yescharacteristic
665#380C2311yescharacteristic
666#380C2312yes—
667#380C2312yes—
668#380C2314yes—
669#380C2314yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2314yes—
676#380C2314yes—
677#379C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708#376C2312yes—
709C2×#95C2312yes—
710C2×#95C2312yes—
711C2×#95C2312yes—
712C2×#95C2311yescharacteristic
713C2×#95C2311yescharacteristic
714C2×#95C2312yes—
715C2×#95C2312yes—
716C2×#95C2314yes—
717C2×#95C2312yes—
718C2×#95C2312yes—
719C43C2312yes—
720C25C2411yescharacteristic
721C2×#41—42no—
722C2×#41—42no—
723C2×#41C2×Q818yescomplemented
724C22×Q8—28no—
725C22×Q8—44no—
726C22×Q8—82no—
727C22×Q8C2414yes—
728C22×Q8C2414yes—
729C22×Q8C2414yes—
730C22×Q8C2414yes—
731C22×Q8C2414yes—
732C22×Q8C2414yes—
733C22×Q8C2411yescharacteristic
734C22×D4C2412yes—
735C22×D4C2412yes—
736C22×D4C2412yes—
737C22×D4C2411yescharacteristic
738C23×C4—42no—
739C23×C4—42no—
740C23×C4C2×Q818yes—
741C23×C4C2412yes—
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2412yes—
745C23×C4C2411yescharacteristic
746C23×C4C2412yes—
747C23×C4C2412yes—
748C23×C4C2411yescharacteristic
749C23×C4C2412yes—
750C23×C4C2411yescharacteristic
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2414yes—
758C23×C4C2414yes—
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C4⋊Q8—28no—
765C4⋊Q8—44no—
766C4⋊Q8—44no—
767C4⋊Q8—44no—
768C4⋊Q8—44no—
769C4⋊Q8—44no—
770C4⋊Q8—44no—
771C4⋊Q8—48no—
772C4⋊Q8—48no—
773C4⋊Q8—84no—
774#125—28no—
775#125—44no—
776#125—44no—
777#125—48no—
778#125—48no—
779#123C2×Q8116yescomplemented
780C22⋊Q8—216no—
781C22⋊Q8—48no—
782C22⋊Q8—48no—
783C22⋊Q8—48no—
784C22⋊Q8—48no—
785C22⋊Q8—48no—
786C22⋊Q8—48no—
787C22⋊Q8—48no—
788C22⋊Q8—48no—
789C22⋊Q8—48no—
790C22⋊Q8—48no—
791C22⋊Q8—48no—
792C22⋊Q8—48no—
793C22⋊Q8—48no—
794C22⋊Q8—84no—
795C22⋊Q8—84no—
796C22⋊Q8—84no—
797C22⋊Q8C2×Q818yes—
798C22⋊Q8C2×Q818yescomplemented
799#121C2×Q818yes—
800#121C2×Q818yescomplemented
801#120C2×Q8116yes—
802C4×Q8—44no—
803C4×Q8—48no—
804C4×Q8—48no—
805C4×Q8—48no—
806C4×Q8—84no—
807C4×D4—28no—
808C4×D4—28no—
809C4×D4—44no—
810C4×D4—48no—
811C4×D4—48no—
812C4×D4—48no—
813C4×D4—84no—
814C4×D4C2×Q8116yes—
815C4×D4C2×Q8116yescomplemented
816#117—24no—
817#117—24no—
818#117—28no—
819#117—44no—
820#117—42no—
821#117—42no—
822#117—44no—
823#117—44no—
824#117—42no—
825#117—42no—
826#117—44no—
827#117C2×Q818yescomplemented
828C2×C4⋊C4—28no—
829C2×C4⋊C4—24no—
830C2×C4⋊C4—42no—
831C2×C4⋊C4—42no—
832C2×C4⋊C4—44no—
833C2×C4⋊C4—42no—
834C2×C4⋊C4—42no—
835C2×C4⋊C4—44no—
836C2×C4⋊C4—42no—
837C2×C4⋊C4—42no—
838C2×C4⋊C4—44no—
839C2×C4⋊C4—42no—
840C2×C4⋊C4—48no—
841C2×C4⋊C4—82no—
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C22⋊C4—24no—
915C2×C22⋊C4—24no—
916C2×C22⋊C4—44no—
917C2×C22⋊C4—44no—
918C2×C22⋊C4—44no—
919C2×C22⋊C4—82no—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C42—44no—
958C2×C42—42no—
959C2×C42—44no—
960C2×C42—42no—
961C2×C42C2412yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2414yes—
965C2×C42C2412yes—
966C2×C42C2412yes—
967C2×C42C2412yes—
968C2×C42C2412yes—
969C2×C42C2412yes—
970C2×C42C2412yes—
971C2×C42C2412yes—
972C2×C42C2414yes—
973C2×C42C2414yes—
974C2×C42C2414yes—
975C2×C42C2414yes—
976C2×C42C2412yes—
977C2×C42C2412yes—
978C2×C42C2412yes—
979C2×C42C2414yes—
980C2×C42C2412yes—
981C2×C42C2412yes—
982C2×C42C2412yes—
983C2×C42C2412yes—
984#95C2414yes—
985#95C2412yes—
986#95C2412yes—
987#95C2412yes—
988#95C2412yes—
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#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
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—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046C24—22no—
1047C24—22no—
1048C24—41no—
1049C24—41no—
1050C24—41no—
1051C24—41no—
1052C24C22×Q814yes—
1053C24C2511yescharacteristic
1054C24C2511yescharacteristic
1055C24C2512yes—
1056C24C2511yescharacteristic
1057#41—416no—
1058C2×Q8—28no—
1059C2×Q8—28no—
1060C2×Q8—28no—
1061C2×Q8—28no—
1062C2×Q8—41no—
1063C2×Q8—44no—
1064C2×Q8—41no—
1065C2×Q8—44no—
1066C2×Q8—44no—
1067C2×Q8—44no—
1068C2×Q8—44no—
1069C2×Q8—44no—
1070C2×Q8—44no—
1071C2×Q8—44no—
1072C2×Q8—44no—
1073C2×Q8—44no—
1074C2×Q8—44no—
1075C2×Q8—44no—
1076C2×Q8—44no—
1077C2×Q8—44no—
1078C2×Q8—816no—
1079C2×Q8C22×Q814yes—
1080C2×D4—24no—
1081C2×D4—24no—
1082C2×D4—42no—
1083C2×D4—41no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—41no—
1088C2×D4C22×Q818yes—
1089C2×D4C22×Q818yes—
1090C2×D4C22×Q818yes—
1091C2×D4C22×Q814yes—
1092C22×C4—22no—
1093C22×C4—24no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—24no—
1099C22×C4—22no—
1100C22×C4—24no—
1101C22×C4—22no—
1102C22×C4—24no—
1103C22×C4—24no—
1104C22×C4—22no—
1105C22×C4—24no—
1106C22×C4—24no—
1107C22×C4—24no—
1108C22×C4—24no—
1109C22×C4—416no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—42no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—44no—
1130C22×C4—42no—
1131C22×C4—44no—
1132C22×C4—41no—
1133C22×C4—44no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—41no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—42no—
1142C22×C4—44no—
1143C22×C4—42no—
1144C22×C4—44no—
1145C22×C4—42no—
1146C22×C4—42no—
1147C22×C4—42no—
1148C22×C4—42no—
1149C22×C4—42no—
1150C22×C4—44no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4C22×Q814yes—
1154C22×C4C22×Q814yes—
1155C22×C4C22×Q818yes—
1156C22×C4C22×Q814yes—
1157C22×C4C22×Q814yes—
1158C22×C4C22×Q814yes—
1159C22×C4C22×Q814yes—
1160C22×C4H(5,𝔽2)14yes—
1161C22×C42−1+414yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2514yes—
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2512yes—
1170C22×C4C2514yes—
1171C22×C4C2514yes—
1172C22×C4C2512yes—
1173C22×C4C2514yes—
1174C22×C4C2514yes—
1175C22×C4C2514yes—
1176C22×C4C2512yes—
1177C22×C4C2511yescharacteristic
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2511yescharacteristic
1182C22×C4C2511yescharacteristic
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2511yescharacteristic
1187C4⋊C4—28no—
1188C4⋊C4—24no—
1189C4⋊C4—22no—
1190C4⋊C4—28no—
1191C4⋊C4—22no—
1192C4⋊C4—24no—
1193C4⋊C4—22no—
1194C4⋊C4—24no—
1195C4⋊C4—24no—
1196C4⋊C4—28no—
1197C4⋊C4—28no—
1198C4⋊C4—24no—
1199C4⋊C4—28no—
1200C4⋊C4—28no—
1201C4⋊C4—28no—
1202C4⋊C4—28no—
1203C4⋊C4—24no—
1204C4⋊C4—24no—
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—42no—
1208C4⋊C4—42no—
1209C4⋊C4—44no—
1210C4⋊C4—42no—
1211C4⋊C4—42no—
1212C4⋊C4—44no—
1213C4⋊C4—42no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—42no—
1217C4⋊C4—44no—
1218C4⋊C4—42no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—42no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—42no—
1254C4⋊C4C22×Q814yes—
1255C4⋊C4C22×Q814yes—
1256C4⋊C4C22×Q818yes—
1257C4⋊C4C22×Q818yes—
1258C4⋊C4H(5,𝔽2)14yes—
1259C22⋊C4—28no—
1260C22⋊C4—28no—
1261C22⋊C4—24no—
1262C22⋊C4—24no—
1263C22⋊C4—24no—
1264C22⋊C4—24no—
1265C22⋊C4—24no—
1266C22⋊C4—24no—
1267C22⋊C4—28no—
1268C22⋊C4—24no—
1269C22⋊C4—24no—
1270C22⋊C4—24no—
1271C22⋊C4—24no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—42no—
1289C22⋊C4—44no—
1290C22⋊C4—42no—
1291C22⋊C4C22×Q818yes—
1292C22⋊C4C22×Q818yes—
1293C22⋊C4C22×Q818yes—
1294C22⋊C4C22×Q818yes—
1295C22⋊C4C22×Q818yes—
1296C42—24no—
1297C42—24no—
1298C42—24no—
1299C42—24no—
1300C42—28no—
1301C42—24no—
1302C42—24no—
1303C42—24no—
1304C42—24no—
1305C42—42no—
1306C42—42no—
1307C42—42no—
1308C42—42no—
1309C42—42no—
1310C42—42no—
1311C42—42no—
1312C42—44no—
1313C42—44no—
1314C42—44no—
1315C42—44no—
1316C42—42no—
1317C42—44no—
1318C42C22×Q818yes—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—22no—
1327C23—21no—
1328C23—22no—
1329C23—21no—
1330C23—21no—
1331C23—22no—
1332C23—21no—
1333C23—22no—
1334C23—21no—
1335C23—21no—
1336C23—22no—
1337C23—21no—
1338C23—21no—
1339C23—22no—
1340C23—21no—
1341C23—28no—
1342C23—44no—
1343C23—44no—
1344C23—82no—
1345C23—82no—
1346C23—82no—
1347C23—82no—
1348C23C23×Q812yes—
1349C23C23×Q812yes—
1350C23C23×Q814yes—
1351C23C23×Q812yes—
1352C23C2×H(5,𝔽2)12yes—
1353C23C2×2−1+412yes—
1354C23C2611yescharacteristic
1355Q8—44no—
1356Q8—416no—
1357Q8—88no—
1358Q8—88no—
1359Q8—88no—
1360Q8—164no—
1361Q8—164no—
1362D4—216no—
1363D4—48no—
1364D4—44no—
1365D4—48no—
1366C2×C4—22no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—21no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—22no—
1378C2×C4—21no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—28no—
1385C2×C4—28no—
1386C2×C4—28no—
1387C2×C4—216no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—24no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—24no—
1397C2×C4—24no—
1398C2×C4—24no—
1399C2×C4—24no—
1400C2×C4—24no—
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—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—24no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—24no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—44no—
1434C2×C4—44no—
1435C2×C4—44no—
1436C2×C4—44no—
1437C2×C4—44no—
1438C2×C4—48no—
1439C2×C4—84no—
1440C2×C4—84no—
1441C2×C4—84no—
1442C2×C4—84no—
1443C2×C4—82no—
1444C2×C4—82no—
1445C2×C4—84no—
1446C2×C4—88no—
1447C2×C4—164no—
1448C2×C4—162no—
1449C2×C4—162no—
1450C2×C4—162no—
1451C2×C4—162no—
1452C2×C4C23×Q814yes—
1453C2×C4C23×Q814yes—
1454C2×C4C23×Q812yes—
1455C2×C4C23×Q812yes—
1456C2×C4C23×Q814yes—
1457C2×C4C23×Q812yes—
1458C2×C4C23×Q812yes—
1459C2×C4C2×H(5,𝔽2)14yes—
1460C2×C4C2×H(5,𝔽2)14yes—
1461C2×C4C2×H(5,𝔽2)12yes—
1462C2×C4C2×2−1+414yes—
1463C2×C4#58512yes—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—24no—
1473C22—24no—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—24no—
1478C22—22no—
1479C22—42no—
1480C22—41no—
1481C22—41no—
1482C22—42no—
1483C22—41no—
1484C22—41no—
1485C22—42no—
1486C22—41no—
1487C22—41no—
1488C22—42no—
1489C22—41no—
1490C22—41no—
1491C22—88no—
1492C22#350314yes—
1493C22C24×Q811yescharacteristic
1494C22C22×H(5,𝔽2)11yescharacteristic
1495C22C22×H(5,𝔽2)11yescharacteristic
1496C22C22×2−1+411yescharacteristic
1497C22C2×#58511yescharacteristic
1498C22H(7,𝔽2)11yescharacteristic
1499C222−1+611yescharacteristic
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—24no—
1504C4—24no—
1505C4—24no—
1506C4—24no—
1507C4—24no—
1508C4—24no—
1509C4—42no—
1510C4—42no—
1511C4—44no—
1512C4—42no—
1513C4—42no—
1514C4—42no—
1515C4—44no—
1516C4—44no—
1517C4—44no—
1518C4—44no—
1519C4—42no—
1520C4—44no—
1521C4—42no—
1522C4—42no—
1523C4—42no—
1524C4#350114yes—
1525C2—24no—
1526C2—44no—
1527C2—42no—
1528C2—42no—
1529C2C2×#350111yescharacteristic
1530C2C2×#350311yescharacteristic
1531C2#6285411yescharacteristic
1532C2#6289411yescharacteristic
1533C2#6289511yescharacteristic
1534C2#6293011yescharacteristic
1535C2#6293211yescharacteristic
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. #47982C2semidirect
2. #47981C2semidirect
3. #47022C2semidirect
4. #46443C2semidirect
5. #43081C2semidirect
6. #43025C2semidirect
7. #39679C2semidirect
8. #39668C2semidirect
9. #39624C2semidirect
10. #39610C2semidirect
11. #39493C2semidirect
12. #38964C2semidirect
13. #38099C2semidirect
14. #38098C2semidirect
15. #37875C2semidirect
16. #37690C2semidirect
17. #37477C2semidirect
18. #37314C2semidirect
19. #37306C2semidirect
20. #36261C2semidirect
21. #36129C2semidirect
22. #35578C2semidirect
23. #35519C2semidirect
24. #35253C2semidirect
25. #35002C2semidirect
26. C2×#2439C2semidirect
33. C2×#533C22semidirect
38. #2862C22semidirect
39. #2859C22semidirect
43. #2857C22semidirect
44. #2857C22semidirect
47. #2811C22semidirect
48. #2809C22semidirect
49. #2807C22semidirect
50. #2806C22semidirect
51. #2806C22semidirect
52. #2806C22semidirect
53. #2805C22semidirect
56. #2802C22semidirect
57. #2792C22semidirect
60. #2774C22semidirect
61. #2774C22semidirect
62. #2774C22semidirect
63. #2768C22semidirect
66. #2763C22semidirect
67. #2763C22semidirect
68. #2755C22semidirect
69. #2755C22semidirect
72. #2729C22semidirect
74. #2720C22semidirect
75. #2713C22semidirect
78. #2704C22semidirect
82. #2692C22semidirect
83. #2692C22semidirect
86. #2677C22semidirect
87. #2660C22semidirect
92. #2647C22semidirect
99. #2628C22semidirect
100. #2628C22semidirect
101. #2590C22semidirect
104. #2589C22semidirect
105. #2586C22semidirect
106. #2584C22semidirect
108. #2583C22semidirect
109. #2582C22semidirect
110. #2581C22semidirect
113. #2571C22semidirect
114. #2570C22semidirect
115. #2570C22semidirect
116. #2567C22semidirect
120. #2552C22semidirect
121. #2551C22semidirect
122. #2551C22semidirect
123. #2550C22semidirect
124. #2550C22semidirect
125. #2550C22semidirect
130. #2549C22semidirect
131. #2549C22semidirect
133. #2508C22semidirect
136. #2492C22semidirect
137. #2473C22semidirect
141. #2465C22semidirect
142. #2462C22semidirect
143. #2462C22semidirect
145. #2451C22semidirect
146. #2451C22semidirect
147. #2451C22semidirect
151. #2450C22semidirect
154. #2449C22semidirect
155. #2446C22semidirect
159. #2442C22semidirect
161. #2441C22semidirect
170. #2440C22semidirect
171. #2440C22semidirect
172. #2440C22semidirect
180. #2439C22semidirect
181. #2439C22semidirect
182. #2439C22semidirect
188. #2429C22semidirect
213. #2331C22semidirect
214. #2330C22semidirect
230. #2317C22semidirect
231. #2317C22semidirect
237. C4×C4⋊Q8C22semidirect
238. C4×C4⋊Q8C22semidirect
247. C2×#389C22semidirect
282. #525Q8semidirect
723. C2×#41C2×Q8semidirect
779. #123C2×Q8semidirect
798. C22⋊Q8C2×Q8semidirect
800. #121C2×Q8semidirect
815. C4×D4C2×Q8semidirect
827. #117C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#479822
#479812
#470222
#464432
#430812
#430252
#396792
#396682
#396242
#396102
#394932
#389642
#380992
#380982
#378752
#376902
#374772
#373142
#373062
#362612
#361292
#355782
#355192
#352532
#350022
C2×#24392
#343602
#342022
#340822