Finite Group Databasebeta

← #7732306

Subgroups — #7732306

Order 512.

4694 conjugacy classes of subgroups.

The subgroup lattice has 1511 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48861C214yesmaximal, complemented
2#48860C214yesmaximal, complemented
3#46844C214yesmaximal, complemented
4#46438C214yesmaximal, complemented
5#43550C214yesmaximal, complemented
6#43122C214yesmaximal, complemented
7#39676C212yesmaximal, complemented
8#39670C212yesmaximal, complemented
9#39636C212yesmaximal, complemented
10#39632C212yesmaximal, complemented
11#39366C212yesmaximal, complemented
12#38967C212yesmaximal, complemented
13#38101C212yesmaximal, complemented
14#38100C212yesmaximal, complemented
15#37879C212yesmaximal, complemented
16#37686C212yesmaximal, complemented
17#37477C211yesmaximal, characteristic, complemented
18#37426C212yesmaximal, complemented
19#37314C212yesmaximal, complemented
20#36290C212yesmaximal, complemented
21#36191C212yesmaximal, complemented
22#35641C212yesmaximal, complemented
23#35575C212yesmaximal, complemented
24#35253C211yesmaximal, characteristic, complemented
25#35020C211yesmaximal, characteristic, complemented
26C2×#2439C211yesmaximal, characteristic, complemented
27#34360C211yesmaximal, characteristic
28#34202C211yesmaximal, characteristic
29#34082C211yesmaximal, characteristic
30C2×#544C2211yescharacteristic
31C2×#544C2212yescomplemented
32C22×C4⋊Q8C2211yescharacteristic
33C2×#525C2211yescharacteristic
34C2×#520C2211yescharacteristic
35C22×#117C2211yescharacteristic
36#2862C2212yescomplemented
37#2859C2212yescomplemented
38#2857C2212yes—
39#2851C2212yes—
40#2851C2212yes—
41#2851C2212yes—
42#2851C2212yescomplemented
43#2851C2212yescomplemented
44#2841C2214yes—
45#2806C2214yescomplemented
46#2805C2214yescomplemented
47#2804C2214yes—
48#2804C2214yescomplemented
49#2802C2214yescomplemented
50#2799C2214yescomplemented
51#2799C2214yescomplemented
52#2791C2214yescomplemented
53#2790C2214yes—
54#2788C2214yes—
55#2788C2214yes—
56#2788C2214yes—
57#2788C2214yescomplemented
58#2788C2214yescomplemented
59#2784C2214yes—
60#2784C2214yes—
61#2784C2214yes—
62#2780C2214yes—
63#2774C2214yescomplemented
64#2768C2214yescomplemented
65#2768C2214yescomplemented
66#2763C2214yes—
67#2755C2214yescomplemented
68#2755C2214yescomplemented
69#2748C2214yes—
70#2748C2214yescomplemented
71#2742C2214yes—
72#2742C2214yescomplemented
73#2742C2214yescomplemented
74#2734C2214yescomplemented
75#2729C2214yes—
76#2729C2214yescomplemented
77#2713C2214yescomplemented
78#2713C2214yescomplemented
79#2713C2214yescomplemented
80#2713C2214yescomplemented
81#2704C2214yes—
82#2692C2214yes—
83#2692C2214yes—
84#2677C2214yescomplemented
85#2660C2212yescomplemented
86#2659C2212yes—
87#2659C2212yes—
88#2647C2212yescomplemented
89#2646C2212yes—
90#2646C2212yes—
91#2646C2212yes—
92#2646C2212yes—
93#2629C2212yes—
94#2629C2212yes—
95#2628C2212yes—
96#2628C2212yes—
97#2628C2212yescomplemented
98#2628C2212yescomplemented
99#2590C2214yescomplemented
100#2589C2214yes—
101#2588C2214yescomplemented
102#2587C2214yes—
103#2585C2214yescomplemented
104#2585C2214yescomplemented
105#2583C2214yes—
106#2579C2214yes—
107#2574C2214yes—
108#2574C2214yes—
109#2574C2214yescomplemented
110#2574C2214yescomplemented
111#2571C2212yescomplemented
112#2571C2212yescomplemented
113#2570C2212yescomplemented
114#2570C2212yescomplemented
115#2569C2214yes—
116#2569C2214yes—
117#2564C2214yes—
118#2564C2214yescomplemented
119#2563C2214yes—
120#2556C2214yes—
121#2556C2214yescomplemented
122#2552C2212yescomplemented
123#2551C2212yescomplemented
124#2550C2212yescomplemented
125#2550C2214yescomplemented
126#2550C2212yescomplemented
127#2522C2214yes—
128#2520C2214yescomplemented
129#2520C2214yescomplemented
130#2520C2214yescomplemented
131#2511C2214yescomplemented
132#2509C2214yescomplemented
133#2509C2214yescomplemented
134#2507C2214yescomplemented
135#2505C2214yes—
136#2505C2214yes—
137#2505C2214yescomplemented
138#2505C2214yescomplemented
139#2502C2214yescomplemented
140#2497C2214yes—
141#2492C2214yes—
142#2492C2214yescomplemented
143#2487C2214yes—
144#2473C2214yes—
145#2473C2214yes—
146#2473C2214yescomplemented
147#2454C2214yes—
148#2454C2214yes—
149#2453C2214yescomplemented
150#2452C2214yes—
151#2451C2214yescomplemented
152#2450C2214yes—
153#2450C2214yes—
154#2450C2214yes—
155#2450C2214yes—
156#2449C2214yes—
157#2442C2212yes—
158#2442C2212yes—
159#2442C2212yes—
160#2442C2212yes—
161#2442C2212yes—
162#2442C2212yes—
163#2442C2212yes—
164#2442C2212yescomplemented
165#2442C2212yescomplemented
166#2442C2212yescomplemented
167#2441C2212yes—
168#2441C2212yescomplemented
169#2440C2212yes—
170#2440C2212yes—
171#2440C2212yes—
172#2440C2212yescomplemented
173#2439C2212yes—
174#2439C2212yes—
175#2439C2212yes—
176#2439C2212yes—
177#2439C2214yes—
178#2439C2212yes—
179#2439C2214yes—
180#2439C2212yescomplemented
181#2439C2212yescomplemented
182#2439C2212yescomplemented
183#2438C2214yes—
184#2437C2214yes—
185#2437C2214yes—
186#2434C2214yes—
187#2417C2214yes—
188#2417C2214yescomplemented
189#2409C2214yes—
190C2×#396C2212yes—
191C2×#393C2212yes—
192#2376C2214yes—
193#2368C2214yes—
194#2368C2214yes—
195#2359C2214yes—
196#2358C2214yes—
197#2358C2214yes—
198#2354C2212yes—
199#2352C2212yes—
200#2352C2212yes—
201#2352C2212yes—
202#2352C2212yes—
203#2349C2214yes—
204D4×C4⋊C4C2212yes—
205D4×C4⋊C4C2212yes—
206D4×C4⋊C4C2212yes—
207D4×C4⋊C4C2214yes—
208#2335C2212yes—
209#2335C2212yes—
210#2333C2212yes—
211#2332C2212yes—
212#2331C2212yescomplemented
213#2330C2212yescomplemented
214#2329C2211yescharacteristic
215#2329C2211yescharacteristic
216#2329C2212yes—
217#2329C2212yes—
218#2325C2211yescharacteristic
219#2325C2211yescharacteristic
220#2325C2212yes—
221#2325C2212yes—
222#2324C2212yes—
223#2323C2212yes—
224#2321C2212yes—
225#2321C2212yes—
226#2317C2211yescharacteristic
227#2317C2211yescharacteristic
228#2317C2211yescharacteristic
229#2316C2211yescharacteristic
230#2316C2212yescomplemented
231#2315C2212yes—
232#2315C2212yes—
233#2314C2212yes—
234#2311C2211yescharacteristic
235#2311C2212yes—
236C4×#125C2212yescomplemented
237C4×#125C2212yescomplemented
238C4×C22⋊Q8C2212yes—
239C4×#121C2212yes—
240#2298C2212yes—
241#2297C2212yes—
242C2×#391C2212yes—
243#2293C2212yes—
244C2×#389C2211yescharacteristic
245C2×#389C2211yescharacteristic
246C2×#389C2212yescomplemented
247#2290C2212yes—
248#2290C2212yes—
249C2×#387C2212yes—
250#2285C2212yescomplemented
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#544—48no—
263#544—44no—
264C2×C4⋊Q8—44no—
265C2×C4⋊Q8C2312yes—
266C2×C4⋊Q8C2312yes—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2312yes—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2314yes—
271C2×C4⋊Q8C2314yes—
272C2×C4⋊Q8C2314yes—
273C2×#125C2312yes—
274C2×#125C2312yes—
275C2×#125C2312yes—
276C2×#125C2312yes—
277C2×#125C2312yes—
278C2×#125C2314yes—
279C2×#125C2314yes—
280#525Q8116yescomplemented
281C2×#123C2312yes—
282C2×C22⋊Q8C2314yes—
283C2×C22⋊Q8C2314yes—
284C2×C22⋊Q8C2314yes—
285C2×C22⋊Q8C2314yes—
286C2×C22⋊Q8C2314yes—
287C2×C22⋊Q8C2314yes—
288C2×C22⋊Q8C2314yes—
289C2×C22⋊Q8C2311yescharacteristic
290C2×C22⋊Q8C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#120C2312yes—
294#520—44no—
295C2×C4×Q8C2312yes—
296C2×C4×D4C2314yes—
297C2×C4×D4C2312yes—
298C2×C4×D4C2312yes—
299C2×C4×D4C2312yes—
300C2×C4×D4C2314yes—
301C2×C4×D4C2314yes—
302C2×C4×D4C2314yes—
303C2×C4×D4C2312yes—
304C2×C4×D4C2312yes—
305C2×#117—44no—
306C2×#117C2311yescharacteristic
307C2×#117C2311yescharacteristic
308C2×#117C2311yescharacteristic
309C2×#117C2312yes—
310C2×#117C2311yescharacteristic
311C2×#117C2311yescharacteristic
312C2×#117C2312yes—
313C2×#117C2312yes—
314C2×#117C2311yescharacteristic
315C2×#117C2312yes—
316C2×#117C2312yes—
317C2×#117C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2312yes—
320C22×C4⋊C4C2312yes—
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2312yes—
326C22×C4⋊C4C2311yescharacteristic
327C22×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2312yes—
330C22×C4⋊C4C2314yes—
331C22×C4⋊C4C2312yes—
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2312yes—
335C22×C22⋊C4C2312yes—
336C22×C22⋊C4C2312yes—
337C22×C22⋊C4C2312yes—
338C22×C42C2311yescharacteristic
339C22×C42C2311yescharacteristic
340C22×C42C2312yes—
341C22×C42C2312yes—
342#400C2314yes—
343#400C2314yes—
344#400C2314yes—
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#399C2314yes—
364#399C2314yes—
365#399C2314yes—
366#399C2314yes—
367#399C2314yes—
368#398C2314yes—
369#398C2314yes—
370#398C2314yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#396C2314yes—
395#396C2314yes—
396#396C2314yes—
397#396C2314yes—
398#396C2314yes—
399#396C2314yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#396C2314yes—
405#396C2314yes—
406#395C2314yes—
407#395C2314yes—
408#395C2314yes—
409#395C2314yes—
410#395C2314yes—
411#395C2314yes—
412#395C2314yes—
413#395C2314yes—
414#395C2314yes—
415#395C2314yes—
416#395C2314yes—
417#395C2314yes—
418#395C2314yes—
419#393C2314yes—
420#393C2314yes—
421#393C2314yes—
422#393C2314yes—
423#393C2314yes—
424#393C2314yes—
425#393C2314yes—
426#393C2314yes—
427#393C2314yes—
428#393C2314yes—
429#393C2314yes—
430#391C2312yes—
431#391C2314yes—
432#391C2314yes—
433#391C2314yes—
434#391C2314yes—
435#391C2314yes—
436#391C2312yes—
437#391C2312yes—
438#391C2314yes—
439#391C2314yes—
440#391C2314yes—
441#391C2314yes—
442#391C2314yes—
443#391C2314yes—
444#391C2314yes—
445#391C2314yes—
446#391C2314yes—
447#391C2314yes—
448#391C2314yes—
449#391C2314yes—
450#390C2312yes—
451#390C2314yes—
452#390C2312yes—
453#390C2314yes—
454#390C2312yes—
455#390C2312yes—
456#390C2312yes—
457#389C2312yes—
458#389C2312yes—
459#389C2312yes—
460#389C2312yes—
461#389C2312yes—
462#389C2312yes—
463#389C2312yes—
464#389C2312yes—
465#389C2314yes—
466#389C2314yes—
467#389C2312yes—
468#389C2312yes—
469#389C2312yes—
470#389C2312yes—
471#389C2312yes—
472#389C2314yes—
473#389C2312yes—
474#389C2312yes—
475#389C2314yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2314yes—
482#389C2314yes—
483#389C2314yes—
484#389C2312yes—
485#389C2312yes—
486#389C2314yes—
487#389C2314yes—
488#389C2314yes—
489#389C2314yes—
490#389C2312yes—
491#389C2314yes—
492#389C2314yes—
493#389C2314yes—
494#389C2314yes—
495#389C2312yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2312yes—
505#388C2312yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2312yes—
510#388C2312yes—
511#388C2312yes—
512#388C2312yes—
513#388C2312yes—
514#388C2312yes—
515#388C2314yes—
516#388C2312yes—
517#388C2312yes—
518#388C2314yes—
519#388C2312yes—
520#388C2312yes—
521#388C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2312yes—
545#387C2312yes—
546#387C2312yes—
547#387C2312yes—
548#387C2314yes—
549#387C2312yes—
550#387C2312yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2312yes—
558#387C2312yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#386C2312yes—
567#386C2314yes—
568#386C2312yes—
569#386C2314yes—
570#386C2314yes—
571#386C2312yes—
572#386C2312yes—
573#386C2312yes—
574#386C2312yes—
575#386C2312yes—
576#386C2314yes—
577#386C2312yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2312yes—
598#385C2312yes—
599#385C2314yes—
600#385C2312yes—
601#385C2312yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#384C2312yes—
617#384C2312yes—
618#384C2312yes—
619#384C2312yes—
620#384C2312yes—
621#384C2314yes—
622#382C2312yes—
623#382C2312yes—
624#382C2314yes—
625#382C2314yes—
626#382C2312yes—
627#382C2312yes—
628#382C2312yes—
629#382C2312yes—
630#382C2314yes—
631#382C2312yes—
632#382C2312yes—
633#382C2312yes—
634#382C2314yes—
635#381C2312yes—
636#380C2314yes—
637#380C2314yes—
638#380C2314yes—
639#380C2314yes—
640#380C2314yes—
641#380C2314yes—
642#380C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2312yes—
646#380C2312yes—
647#380C2312yes—
648#380C2312yes—
649#380C2312yes—
650#380C2314yes—
651#380C2314yes—
652#380C2314yes—
653#380C2314yes—
654#380C2314yes—
655#380C2314yes—
656#380C2312yes—
657#380C2311yescharacteristic
658#380C2312yes—
659#380C2311yescharacteristic
660#380C2311yescharacteristic
661#380C2311yescharacteristic
662#380C2312yes—
663#380C2312yes—
664#380C2314yes—
665#380C2312yes—
666#380C2314yes—
667#380C2314yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#379C2312yes—
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2314yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2312yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706#376C2312yes—
707C2×#95C2314yes—
708C2×#95C2312yes—
709C2×#95C2312yes—
710C2×#95C2311yescharacteristic
711C2×#95C2311yescharacteristic
712C2×#95C2312yes—
713C2×#95C2312yes—
714C2×#95C2312yes—
715C2×#95C2312yes—
716C2×#95C2312yes—
717C43C2312yes—
718C25C2411yescharacteristic
719C2×#41—42no—
720C2×#41—42no—
721C2×#41C2×Q818yescomplemented
722C22×Q8—44no—
723C22×Q8—44no—
724C22×Q8—82no—
725C22×Q8C2414yes—
726C22×Q8C2414yes—
727C22×Q8C2414yes—
728C22×Q8C2414yes—
729C22×Q8C2411yescharacteristic
730C22×D4C2412yes—
731C22×D4C2412yes—
732C22×D4C2412yes—
733C22×D4C2411yescharacteristic
734C23×C4—42no—
735C23×C4—42no—
736C23×C4C2×Q818yes—
737C23×C4C2412yes—
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2412yes—
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2412yes—
744C23×C4C2411yescharacteristic
745C23×C4C2412yes—
746C23×C4C2412yes—
747C23×C4C2411yescharacteristic
748C23×C4C2411yescharacteristic
749C23×C4C2414yes—
750C23×C4C2412yes—
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2414yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2411yescharacteristic
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C4⋊Q8—28no—
761C4⋊Q8—44no—
762C4⋊Q8—44no—
763C4⋊Q8—44no—
764C4⋊Q8—44no—
765C4⋊Q8—48no—
766C4⋊Q8—48no—
767C4⋊Q8—84no—
768#125—28no—
769#125—44no—
770#125—44no—
771#125—44no—
772#125—44no—
773#125—48no—
774#125—84no—
775#123C2×Q8116yescomplemented
776C22⋊Q8—48no—
777C22⋊Q8—48no—
778C22⋊Q8—48no—
779C22⋊Q8—48no—
780C22⋊Q8—48no—
781C22⋊Q8—84no—
782C22⋊Q8—84no—
783C22⋊Q8C2×Q818yes—
784C22⋊Q8C2×Q818yescomplemented
785#121C2×Q818yes—
786#121C2×Q818yescomplemented
787#120C2×Q8116yes—
788C4×Q8—44no—
789C4×D4—44no—
790C4×D4—48no—
791C4×D4—48no—
792C4×D4—48no—
793C4×D4—44no—
794C4×D4—44no—
795C4×D4—84no—
796C4×D4C2×Q8116yes—
797C4×D4C2×Q8116yescomplemented
798#117—24no—
799#117—24no—
800#117—42no—
801#117—44no—
802#117—42no—
803#117—44no—
804#117—44no—
805#117—42no—
806#117—42no—
807#117—44no—
808#117—44no—
809#117C2×Q818yescomplemented
810C2×C4⋊C4—24no—
811C2×C4⋊C4—28no—
812C2×C4⋊C4—42no—
813C2×C4⋊C4—44no—
814C2×C4⋊C4—42no—
815C2×C4⋊C4—42no—
816C2×C4⋊C4—42no—
817C2×C4⋊C4—42no—
818C2×C4⋊C4—42no—
819C2×C4⋊C4—44no—
820C2×C4⋊C4—42no—
821C2×C4⋊C4—44no—
822C2×C4⋊C4—82no—
823C2×C4⋊C4—84no—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2411yescharacteristic
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2411yescharacteristic
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C22⋊C4—44no—
895C2×C22⋊C4—44no—
896C2×C22⋊C4—44no—
897C2×C22⋊C4—42no—
898C2×C22⋊C4—42no—
899C2×C22⋊C4—82no—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C42—44no—
938C2×C42—42no—
939C2×C42—42no—
940C2×C42—44no—
941C2×C42C2412yes—
942C2×C42C2412yes—
943C2×C42C2412yes—
944C2×C42C2412yes—
945C2×C42C2412yes—
946C2×C42C2412yes—
947C2×C42C2412yes—
948C2×C42C2412yes—
949C2×C42C2414yes—
950C2×C42C2414yes—
951C2×C42C2414yes—
952C2×C42C2412yes—
953C2×C42C2412yes—
954C2×C42C2414yes—
955C2×C42C2414yes—
956C2×C42C2412yes—
957C2×C42C2412yes—
958C2×C42C2412yes—
959C2×C42C2412yes—
960C2×C42C2414yes—
961C2×C42C2412yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964#95C2414yes—
965#95C2412yes—
966#95C2412yes—
967#95C2412yes—
968#95C2412yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2412yes—
986#95C2412yes—
987#95C2412yes—
988#95C2412yes—
989#95C2412yes—
990#95C2412yes—
991#95C2412yes—
992#95C2412yes—
993#95C2412yes—
994#95C2412yes—
995#95C2414yes—
996#95C2414yes—
997#95C2412yes—
998#95C2412yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030C24—22no—
1031C24—22no—
1032C24—41no—
1033C24—41no—
1034C24—41no—
1035C24—41no—
1036C24C22×Q814yes—
1037C24C2511yescharacteristic
1038C24C2511yescharacteristic
1039C24C2512yes—
1040C24C2511yescharacteristic
1041#41—416no—
1042C2×Q8—28no—
1043C2×Q8—41no—
1044C2×Q8—41no—
1045C2×Q8—44no—
1046C2×Q8—44no—
1047C2×Q8—44no—
1048C2×Q8—44no—
1049C2×Q8—44no—
1050C2×Q8—44no—
1051C2×Q8—44no—
1052C2×Q8—44no—
1053C2×Q8—44no—
1054C2×Q8—44no—
1055C2×Q8—44no—
1056C2×Q8—816no—
1057C2×Q8C22×Q814yes—
1058C2×D4—24no—
1059C2×D4—24no—
1060C2×D4—41no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—41no—
1066C2×D4C22×Q818yes—
1067C2×D4C22×Q818yes—
1068C2×D4C22×Q818yes—
1069C2×D4C22×Q814yes—
1070C22×C4—22no—
1071C22×C4—24no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—24no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—24no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—24no—
1084C22×C4—24no—
1085C22×C4—24no—
1086C22×C4—24no—
1087C22×C4—28no—
1088C22×C4—416no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—42no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—42no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—42no—
1104C22×C4—42no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—41no—
1110C22×C4—42no—
1111C22×C4—44no—
1112C22×C4—44no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—41no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4C22×Q814yes—
1134C22×C4C22×Q814yes—
1135C22×C4C22×Q818yes—
1136C22×C4C22×Q814yes—
1137C22×C4C22×Q814yes—
1138C22×C4C22×Q814yes—
1139C22×C4C22×Q814yes—
1140C22×C4C2512yes—
1141C22×C4C2512yes—
1142C22×C4C2514yes—
1143C22×C4C2512yes—
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2512yes—
1147C22×C4C2514yes—
1148C22×C4C2514yes—
1149C22×C4C2514yes—
1150C22×C4C2514yes—
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2512yes—
1155C22×C4C2514yes—
1156C22×C4C2512yes—
1157C22×C4C2511yescharacteristic
1158C22×C4C2512yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2511yescharacteristic
1162C22×C4C2511yescharacteristic
1163C22×C4C2512yes—
1164C22×C4C2511yescharacteristic
1165C4⋊C4—24no—
1166C4⋊C4—24no—
1167C4⋊C4—22no—
1168C4⋊C4—28no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—24no—
1172C4⋊C4—24no—
1173C4⋊C4—28no—
1174C4⋊C4—28no—
1175C4⋊C4—28no—
1176C4⋊C4—24no—
1177C4⋊C4—24no—
1178C4⋊C4—24no—
1179C4⋊C4—42no—
1180C4⋊C4—44no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—42no—
1186C4⋊C4—42no—
1187C4⋊C4—42no—
1188C4⋊C4—42no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—42no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—42no—
1203C4⋊C4—41no—
1204C4⋊C4—42no—
1205C4⋊C4—42no—
1206C4⋊C4—42no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—42no—
1230C4⋊C4C22×Q814yes—
1231C4⋊C4C22×Q814yes—
1232C4⋊C4C22×Q818yes—
1233C4⋊C4C22×Q818yes—
1234C4⋊C4H(5,𝔽2)14yes—
1235C22⋊C4—28no—
1236C22⋊C4—28no—
1237C22⋊C4—24no—
1238C22⋊C4—24no—
1239C22⋊C4—24no—
1240C22⋊C4—24no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—44no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—44no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4C22×Q818yes—
1268C22⋊C4C22×Q818yes—
1269C22⋊C4C22×Q818yes—
1270C22⋊C4C22×Q818yes—
1271C22⋊C4C22×Q818yes—
1272C42—24no—
1273C42—24no—
1274C42—24no—
1275C42—24no—
1276C42—24no—
1277C42—24no—
1278C42—42no—
1279C42—42no—
1280C42—42no—
1281C42—42no—
1282C42—42no—
1283C42—42no—
1284C42—44no—
1285C42—42no—
1286C42—44no—
1287C42—44no—
1288C42—44no—
1289C42—44no—
1290C42—42no—
1291C42—42no—
1292C42—44no—
1293C42—42no—
1294C42C22×Q818yes—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—22no—
1302C23—21no—
1303C23—21no—
1304C23—22no—
1305C23—22no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—22no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—22no—
1314C23—22no—
1315C23—21no—
1316C23—21no—
1317C23—28no—
1318C23—44no—
1319C23—44no—
1320C23—82no—
1321C23—82no—
1322C23—82no—
1323C23—82no—
1324C23C23×Q812yes—
1325C23C23×Q812yes—
1326C23C23×Q814yes—
1327C23C23×Q812yes—
1328C23#58512yes—
1329C23#58512yes—
1330C23C2611yescharacteristic
1331Q8—44no—
1332Q8—88no—
1333Q8—88no—
1334Q8—164no—
1335Q8—164no—
1336D4—216no—
1337D4—48no—
1338D4—44no—
1339D4—48no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—22no—
1343C2×C4—21no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—21no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—28no—
1355C2×C4—28no—
1356C2×C4—28no—
1357C2×C4—216no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—24no—
1366C2×C4—24no—
1367C2×C4—24no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—24no—
1373C2×C4—24no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—24no—
1379C2×C4—24no—
1380C2×C4—24no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—24no—
1387C2×C4—24no—
1388C2×C4—24no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—24no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—24no—
1398C2×C4—22no—
1399C2×C4—24no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—24no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—48no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—88no—
1416C2×C4—82no—
1417C2×C4—84no—
1418C2×C4—82no—
1419C2×C4—84no—
1420C2×C4—84no—
1421C2×C4—84no—
1422C2×C4—84no—
1423C2×C4—164no—
1424C2×C4—162no—
1425C2×C4—162no—
1426C2×C4—162no—
1427C2×C4—162no—
1428C2×C4C23×Q814yes—
1429C2×C4C23×Q814yes—
1430C2×C4C23×Q812yes—
1431C2×C4C23×Q812yes—
1432C2×C4C23×Q814yes—
1433C2×C4C23×Q812yes—
1434C2×C4C23×Q812yes—
1435C2×C4C2×H(5,𝔽2)14yes—
1436C2×C4C2×H(5,𝔽2)12yes—
1437C2×C4#58512yes—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—24no—
1447C22—24no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—24no—
1452C22—22no—
1453C22—42no—
1454C22—41no—
1455C22—41no—
1456C22—42no—
1457C22—41no—
1458C22—41no—
1459C22—42no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—42no—
1464C22—41no—
1465C22—88no—
1466C22#350414yes—
1467C22C24×Q811yescharacteristic
1468C22C22×H(5,𝔽2)11yescharacteristic
1469C22C2×#58511yescharacteristic
1470C22C2×#58511yescharacteristic
1471C22C2×#58511yescharacteristic
1472C22H(7,𝔽2)11yescharacteristic
1473C222−1+611yescharacteristic
1474C4—22no—
1475C4—22no—
1476C4—22no—
1477C4—24no—
1478C4—24no—
1479C4—24no—
1480C4—24no—
1481C4—42no—
1482C4—42no—
1483C4—44no—
1484C4—44no—
1485C4—42no—
1486C4—42no—
1487C4—44no—
1488C4—42no—
1489C4—42no—
1490C4—44no—
1491C4—44no—
1492C4—42no—
1493C4—42no—
1494C4—42no—
1495C4—42no—
1496C4—44no—
1497C4—42no—
1498C4#350114yes—
1499C2—24no—
1500C2—44no—
1501C2—42no—
1502C2—42no—
1503C2C2×#350111yescharacteristic
1504C2C2×#350411yescharacteristic
1505C2#6285411yescharacteristic
1506C2#6291011yescharacteristic
1507C2#6291111yescharacteristic
1508C2#6291811yescharacteristic
1509C2#6291911yescharacteristic
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. #48861C2semidirect
2. #48860C2semidirect
3. #46844C2semidirect
4. #46438C2semidirect
5. #43550C2semidirect
6. #43122C2semidirect
7. #39676C2semidirect
8. #39670C2semidirect
9. #39636C2semidirect
10. #39632C2semidirect
11. #39366C2semidirect
12. #38967C2semidirect
13. #38101C2semidirect
14. #38100C2semidirect
15. #37879C2semidirect
16. #37686C2semidirect
17. #37477C2semidirect
18. #37426C2semidirect
19. #37314C2semidirect
20. #36290C2semidirect
21. #36191C2semidirect
22. #35641C2semidirect
23. #35575C2semidirect
24. #35253C2semidirect
25. #35020C2semidirect
26. C2×#2439C2semidirect
31. C2×#544C22semidirect
36. #2862C22semidirect
37. #2859C22semidirect
42. #2851C22semidirect
43. #2851C22semidirect
45. #2806C22semidirect
46. #2805C22semidirect
48. #2804C22semidirect
49. #2802C22semidirect
50. #2799C22semidirect
51. #2799C22semidirect
52. #2791C22semidirect
57. #2788C22semidirect
58. #2788C22semidirect
63. #2774C22semidirect
64. #2768C22semidirect
65. #2768C22semidirect
67. #2755C22semidirect
68. #2755C22semidirect
70. #2748C22semidirect
72. #2742C22semidirect
73. #2742C22semidirect
74. #2734C22semidirect
76. #2729C22semidirect
77. #2713C22semidirect
78. #2713C22semidirect
79. #2713C22semidirect
80. #2713C22semidirect
84. #2677C22semidirect
85. #2660C22semidirect
88. #2647C22semidirect
97. #2628C22semidirect
98. #2628C22semidirect
99. #2590C22semidirect
101. #2588C22semidirect
103. #2585C22semidirect
104. #2585C22semidirect
109. #2574C22semidirect
110. #2574C22semidirect
111. #2571C22semidirect
112. #2571C22semidirect
113. #2570C22semidirect
114. #2570C22semidirect
118. #2564C22semidirect
121. #2556C22semidirect
122. #2552C22semidirect
123. #2551C22semidirect
124. #2550C22semidirect
125. #2550C22semidirect
126. #2550C22semidirect
128. #2520C22semidirect
129. #2520C22semidirect
130. #2520C22semidirect
131. #2511C22semidirect
132. #2509C22semidirect
133. #2509C22semidirect
134. #2507C22semidirect
137. #2505C22semidirect
138. #2505C22semidirect
139. #2502C22semidirect
142. #2492C22semidirect
146. #2473C22semidirect
149. #2453C22semidirect
151. #2451C22semidirect
164. #2442C22semidirect
165. #2442C22semidirect
166. #2442C22semidirect
168. #2441C22semidirect
172. #2440C22semidirect
180. #2439C22semidirect
181. #2439C22semidirect
182. #2439C22semidirect
188. #2417C22semidirect
212. #2331C22semidirect
213. #2330C22semidirect
230. #2316C22semidirect
236. C4×#125C22semidirect
237. C4×#125C22semidirect
246. C2×#389C22semidirect
250. #2285C22semidirect
280. #525Q8semidirect
721. C2×#41C2×Q8semidirect
775. #123C2×Q8semidirect
784. C22⋊Q8C2×Q8semidirect
786. #121C2×Q8semidirect
797. C4×D4C2×Q8semidirect
809. #117C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#488612
#488602
#468442
#464382
#435502
#431222
#396762
#396702
#396362
#396322
#393662
#389672
#381012
#381002
#378792
#376862
#374772
#374262
#373142
#362902
#361912
#356412
#355752
#352532
#350202
C2×#24392
#343602
#342022
#340822