Finite Group Databasebeta

← #8096425

Subgroups — #8096425

Order 512.

5116 conjugacy classes of subgroups.

The subgroup lattice has 1463 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53118C212yesmaximal, complemented
2#53009C211yesmaximal, characteristic, complemented
3#52987C211yesmaximal, characteristic, complemented
4#52974C212yesmaximal, complemented
5#52567C212yesmaximal, complemented
6#52449C214yesmaximal, complemented
7#52396C212yesmaximal, complemented
8#52322C214yesmaximal, complemented
9#52300C211yesmaximal, characteristic, complemented
10C2×#2677C212yesmaximal, complemented
11#46341C212yesmaximal, complemented
12#46325C214yesmaximal, complemented
13#46124C214yesmaximal, complemented
14#46041C214yesmaximal, complemented
15#46001C212yesmaximal, complemented
16#45993C212yesmaximal, complemented
17#45744C212yesmaximal, complemented
18#45611C212yesmaximal, complemented
19#45502C211yesmaximal, characteristic, complemented
20#45446C214yesmaximal, complemented
21#36241C212yesmaximal, complemented
22#36240C212yesmaximal, complemented
23#36237C211yesmaximal, characteristic
24D4×C4⋊Q8C212yesmaximal, complemented
25D4×C22⋊Q8C212yesmaximal, complemented
26#35987C211yesmaximal, characteristic
27#35939C211yesmaximal, characteristic
28#35858C212yesmaximal, complemented
29#35739C212yesmaximal, complemented
30C2×#563C2214yescomplemented
31C2×D4×Q8C2211yescharacteristic
32C2×D4×Q8C2212yes—
33C2×#546C2211yescharacteristic
34C22×C4⋊Q8C2214yescomplemented
35C22×C22⋊Q8C2214yes—
36C2×#520C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38#2868C2212yescomplemented
39#2863C2212yescomplemented
40#2860C2212yes—
41#2857C2212yes—
42#2857C2214yescomplemented
43#2855C2211yescharacteristic
44#2852C2214yes—
45#2852C2214yescomplemented
46#2849C2212yes—
47#2848C2214yes—
48#2844C2212yescomplemented
49#2843C2214yescomplemented
50#2841C2212yes—
51#2838C2214yescomplemented
52#2838C2214yescomplemented
53#2838C2214yescomplemented
54#2837C2214yescomplemented
55#2836C2214yescomplemented
56#2835C2212yes—
57#2834C2212yes—
58#2834C2212yescomplemented
59#2833C2214yescomplemented
60#2833C2214yescomplemented
61#2831C2214yescomplemented
62#2821C2214yescomplemented
63#2821C2214yescomplemented
64#2821C2214yescomplemented
65#2817C2214yescomplemented
66#2814C2214yescomplemented
67#2793C2214yescomplemented
68#2791C2212yescomplemented
69#2791C2214yescomplemented
70#2787C2214yescomplemented
71#2777C2214yescomplemented
72#2777C2212yescomplemented
73#2776C2214yescomplemented
74#2775C2214yescomplemented
75#2774C2214yescomplemented
76#2771C2211yescharacteristic
77#2770C2214yescomplemented
78#2769C2212yescomplemented
79#2764C2211yescharacteristic
80#2758C2212yescomplemented
81#2745C2214yes—
82#2738C2214yes—
83#2734C2214yescomplemented
84#2731C2214yescomplemented
85#2729C2214yes—
86#2729C2214yescomplemented
87#2729C2214yescomplemented
88#2728C2214yes—
89#2723C2214yes—
90#2722C2211yescharacteristic
91#2721C2214yescomplemented
92#2720C2214yes—
93#2720C2214yescomplemented
94#2718C2212yes—
95#2718C2214yescomplemented
96#2716C2214yescomplemented
97#2716C2212yescomplemented
98#2713C2214yescomplemented
99#2713C2214yescomplemented
100#2702C2212yes—
101#2698C2214yescomplemented
102#2690C2214yes—
103#2689C2214yescomplemented
104#2683C2212yes—
105#2680C2214yescomplemented
106#2677C2212yes—
107#2677C2214yes—
108#2677C2214yes—
109#2677C2211yescharacteristic
110#2677C2212yes—
111#2677C2212yes—
112#2677C2214yescomplemented
113#2677C2214yescomplemented
114#2677C2214yescomplemented
115#2677C2214yescomplemented
116#2677C2212yescomplemented
117#2674C2214yescomplemented
118#2674C2214yescomplemented
119#2647C2212yescomplemented
120#2646C2214yescomplemented
121#2640C2211yescharacteristic
122#2639C2212yes—
123#2628C2212yescomplemented
124#2627C2214yescomplemented
125#2624C2211yescharacteristic
126#2623C2212yes—
127#2592C2211yescharacteristic
128#2581C2212yescomplemented
129#2570C2212yescomplemented
130#2569C2214yescomplemented
131#2567C2212yescomplemented
132#2564C2214yescomplemented
133#2563C2211yescharacteristic
134#2561C2212yes—
135#2552C2212yescomplemented
136#2551C2212yescomplemented
137#2551C2212yescomplemented
138#2551C2212yescomplemented
139#2551C2212yescomplemented
140#2546C2212yescomplemented
141#2546C2212yescomplemented
142#2542C2212yes—
143#2538C2212yes—
144#2514C2212yescomplemented
145#2513C2212yes—
146#2513C2212yes—
147#2512C2212yes—
148#2511C2212yescomplemented
149#2511C2212yescomplemented
150#2510C2214yes—
151#2510C2214yes—
152#2510C2214yescomplemented
153#2508C2212yescomplemented
154#2507C2212yescomplemented
155#2507C2212yescomplemented
156#2506C2212yescomplemented
157#2505C2214yescomplemented
158#2502C2211yescharacteristic
159#2501C2211yescharacteristic
160#2498C2212yes—
161#2497C2212yes—
162#2497C2212yescomplemented
163#2496C2212yescomplemented
164#2495C2212yes—
165#2494C2212yes—
166#2494C2212yescomplemented
167#2493C2214yescomplemented
168#2493C2214yescomplemented
169#2493C2214yescomplemented
170#2492C2212yes—
171#2491C2212yes—
172#2488C2214yes—
173#2487C2211yescharacteristic
174#2487C2211yescharacteristic
175#2483C2212yes—
176#2482C2212yes—
177#2481C2214yes—
178#2481C2214yescomplemented
179#2481C2214yescomplemented
180#2480C2214yes—
181#2480C2214yes—
182#2480C2214yes—
183#2473C2214yescomplemented
184#2473C2214yescomplemented
185#2473C2214yescomplemented
186#2472C2214yes—
187#2452C2212yes—
188#2452C2212yes—
189#2451C2212yescomplemented
190#2451C2212yescomplemented
191#2449C2214yes—
192#2449C2214yes—
193#2449C2214yescomplemented
194#2449C2214yescomplemented
195#2448C2212yes—
196#2447C2212yes—
197#2443C2214yes—
198#2443C2214yes—
199#2442C2214yescomplemented
200#2440C2212yes—
201#2440C2212yes—
202#2440C2214yescomplemented
203#2440C2214yescomplemented
204#2440C2214yescomplemented
205#2440C2214yescomplemented
206#2440C2212yescomplemented
207#2440C2212yescomplemented
208#2438C2214yescomplemented
209#2438C2214yescomplemented
210#2437C2214yes—
211#2437C2214yes—
212#2436C2212yes—
213#2434C2214yescomplemented
214#2434C2214yescomplemented
215#2423C2212yes—
216#2422C2212yes—
217#2419C2214yes—
218#2418C2214yes—
219#2417C2214yes—
220#2412C2212yes—
221#2409C2214yes—
222#2409C2214yescomplemented
223#2402C2212yescomplemented
224#2398C2211yescharacteristic
225#2396C2212yescomplemented
226#2395C2211yescharacteristic
227C2×#399C2212yes—
228C2×#398C2214yescomplemented
229C2×#395C2214yescomplemented
230C2×#393C2212yes—
231#2383C2214yes—
232#2381C2214yescomplemented
233#2378C2214yescomplemented
234#2376C2212yes—
235#2349C2212yes—
236#2349C2212yes—
237D4×C4⋊C4C2212yes—
238D4×C4⋊C4C2212yes—
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2212yes—
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2212yes—
243#2339C2212yes—
244#2339C2212yes—
245#2339C2211yescharacteristic
246D4×C22⋊C4C2212yes—
247D4×C22⋊C4C2211yescharacteristic
248D4×C22⋊C4C2212yes—
249C4×C4⋊Q8C2212yescomplemented
250C4×#126C2212yes—
251C4×#126C2212yescomplemented
252C4×C22⋊Q8C2212yes—
253C4×#123C2211yescharacteristic
254C2×#388C2214yes—
255C2×#387C2214yescomplemented
256C2×#385C2212yes—
257#2275C2211yescharacteristic
258C42×D4C2212yes—
259C22×#41C2311yescharacteristic
260C23×Q8C2312yes—
261C23×Q8C2314yes—
262C23×D4C2311yescharacteristic
263C24×C4C2312yes—
264#563—416no—
265D4×Q8—48no—
266D4×Q8—44no—
267#546—44no—
268C2×C4⋊Q8—416no—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2314yes—
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2314yes—
273C2×C4⋊Q8C2314yes—
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2314yes—
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2312yes—
279C2×C4⋊Q8C2314yes—
280C2×C4⋊Q8C2314yes—
281C2×C4⋊Q8C2314yes—
282C2×C4⋊Q8C2314yes—
283C2×#126C2312yes—
284C2×#126C2312yes—
285C2×#126C2314yes—
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#125C2314yes—
289C2×#125C2314yes—
290C2×#124C2311yescharacteristic
291C2×#124C2314yes—
292C2×#123C2311yescharacteristic
293C2×#123C2314yes—
294C2×#123C2312yes—
295C2×#123C2314yes—
296C2×C22⋊Q8—416no—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2314yes—
314C2×#121C2311yescharacteristic
315C2×#121C2312yes—
316C2×#120C2312yes—
317#520—44no—
318C2×C4×Q8C2311yescharacteristic
319C2×C4×Q8C2312yes—
320C2×C4×Q8C2312yes—
321C2×C4×D4—44no—
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2314yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2312yes—
333C2×#117C2311yescharacteristic
334C2×#117C2312yes—
335C22×C4⋊C4C2314yes—
336C22×C4⋊C4C2314yes—
337C22×C4⋊C4C2314yes—
338C22×C4⋊C4C2314yes—
339C22×C4⋊C4C2314yes—
340C22×C4⋊C4C2314yes—
341C22×C4⋊C4C2312yes—
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2311yescharacteristic
344C22×C22⋊C4C2312yes—
345C22×C22⋊C4C2312yes—
346C22×C22⋊C4C2314yes—
347C22×C22⋊C4C2314yes—
348C22×C22⋊C4C2312yes—
349C22×C42C2314yes—
350C22×C42C2311yescharacteristic
351#401C2314yes—
352#401C2314yes—
353#401C2314yes—
354#400C2312yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2312yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2312yes—
370#400C2312yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2312yes—
377#400C2312yes—
378#400C2314yes—
379#400C2311yescharacteristic
380#399C2312yes—
381#399C2312yes—
382#399C2312yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2312yes—
388#399C2312yes—
389#399C2311yescharacteristic
390#399C2314yes—
391#399C2312yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2311yescharacteristic
418#398C2312yes—
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#397C2311yescharacteristic
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2311yescharacteristic
436#397C2314yes—
437#397C2311yescharacteristic
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2312yes—
450#396C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2312yes—
468#395C2314yes—
469#395C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2312yes—
475#393C2312yes—
476#393C2312yes—
477#393C2312yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2312yes—
483#393C2312yes—
484#393C2311yescharacteristic
485#393C2314yes—
486#393C2312yes—
487#393C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#387C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2312yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2314yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2311yescharacteristic
602#386C2314yes—
603#386C2312yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2312yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2312yes—
617#385C2314yes—
618#385C2312yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2312yes—
625#385C2314yes—
626#385C2312yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2314yes—
640#385C2311yescharacteristic
641#385C2314yes—
642#385C2312yes—
643#385C2312yes—
644#384C2312yes—
645#384C2312yes—
646#384C2312yes—
647#384C2312yes—
648#384C2314yes—
649#384C2312yes—
650#384C2312yes—
651#384C2312yes—
652#384C2314yes—
653#383C2312yes—
654#383C2312yes—
655#383C2314yes—
656#383C2314yes—
657#383C2314yes—
658#382C2312yes—
659#382C2312yes—
660#382C2312yes—
661#382C2314yes—
662#381C2314yes—
663#381C2314yes—
664#381C2311yescharacteristic
665#381C2312yes—
666#381C2314yes—
667#381C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2314yes—
671#380C2314yes—
672#380C2314yes—
673#380C2314yes—
674#380C2314yes—
675#380C2312yes—
676#380C2314yes—
677#380C2314yes—
678#380C2311yescharacteristic
679#380C2312yes—
680#380C2311yescharacteristic
681#380C2312yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#379C2314yes—
686#379C2314yes—
687#379C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2311yescharacteristic
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C22⋊C4C2311yescharacteristic
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2311yescharacteristic
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712#376C2311yescharacteristic
713C2×#95C2314yes—
714C2×#95C2314yes—
715C2×#95C2314yes—
716C2×#95C2314yes—
717C2×#95C2312yes—
718C2×#95C2312yes—
719C43C2312yes—
720C25C2412yes—
721C2×#41—24no—
722C2×#41—28no—
723C22×Q8—48no—
724C22×Q8—44no—
725C22×Q8—48no—
726C22×Q8—48no—
727C22×Q8—48no—
728C22×Q8C2411yescharacteristic
729C22×Q8C2412yes—
730C22×Q8C2411yescharacteristic
731C22×Q8C2414yes—
732C22×Q8C2414yes—
733C22×Q8C2414yes—
734C22×Q8C2414yes—
735C22×Q8C2412yes—
736C22×D4—24no—
737C22×D4—28no—
738C22×D4C2412yes—
739C22×D4C2412yes—
740C22×D4C2411yescharacteristic
741C22×D4C2411yescharacteristic
742C22×D4C2412yes—
743C22×D4C2411yescharacteristic
744C23×C4—48no—
745C23×C4—44no—
746C23×C4C2412yes—
747C23×C4C2411yescharacteristic
748C23×C4C2411yescharacteristic
749C23×C4C2414yes—
750C23×C4C2414yes—
751C23×C4C2414yes—
752C23×C4C2414yes—
753C23×C4C2411yescharacteristic
754C23×C4C2411yescharacteristic
755C23×C4C2414yes—
756C23×C4C2412yes—
757C23×C4C2414yes—
758C23×C4C2414yes—
759C23×C4C2412yes—
760C23×C4C2412yes—
761C4⋊Q8—28no—
762C4⋊Q8—216no—
763C4⋊Q8—48no—
764C4⋊Q8—48no—
765C4⋊Q8—44no—
766C4⋊Q8—44no—
767C4⋊Q8—42no—
768C4⋊Q8—44no—
769C4⋊Q8—44no—
770C4⋊Q8—48no—
771C4⋊Q8—48no—
772C4⋊Q8—48no—
773C4⋊Q8—48no—
774C4⋊Q8—48no—
775#126—28no—
776#126—28no—
777#126—48no—
778#126—48no—
779#126—48no—
780#125—48no—
781#125—48no—
782#124—42no—
783#124—48no—
784#123—24no—
785#123—48no—
786#123—48no—
787#123—44no—
788C22⋊Q8—28no—
789C22⋊Q8—216no—
790C22⋊Q8—48no—
791C22⋊Q8—48no—
792C22⋊Q8—48no—
793C22⋊Q8—48no—
794C22⋊Q8—44no—
795C22⋊Q8—48no—
796C22⋊Q8—48no—
797C22⋊Q8—48no—
798C22⋊Q8—48no—
799C22⋊Q8—48no—
800C22⋊Q8—48no—
801C22⋊Q8—48no—
802C22⋊Q8—48no—
803C22⋊Q8—42no—
804C22⋊Q8—48no—
805#121—42no—
806#121—44no—
807#120—44no—
808C4×Q8—44no—
809C4×Q8—42no—
810C4×Q8—44no—
811C4×D4—28no—
812C4×D4—28no—
813C4×D4—24no—
814C4×D4—28no—
815C4×D4—28no—
816C4×D4—28no—
817C4×D4—28no—
818C4×D4—44no—
819C4×D4—42no—
820C4×D4—48no—
821C4×D4—48no—
822#117—42no—
823#117—44no—
824C2×C4⋊C4—216no—
825C2×C4⋊C4—42no—
826C2×C4⋊C4—42no—
827C2×C4⋊C4—48no—
828C2×C4⋊C4—48no—
829C2×C4⋊C4—48no—
830C2×C4⋊C4—48no—
831C2×C4⋊C4—48no—
832C2×C4⋊C4—44no—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2411yescharacteristic
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2411yescharacteristic
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
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⋊C4C2411yescharacteristic
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C22⋊C4—28no—
902C2×C22⋊C4—48no—
903C2×C22⋊C4—48no—
904C2×C22⋊C4—44no—
905C2×C22⋊C4—44no—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2411yescharacteristic
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2411yescharacteristic
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2411yescharacteristic
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2411yescharacteristic
948C2×C42—42no—
949C2×C42—48no—
950C2×C42C2412yes—
951C2×C42C2411yescharacteristic
952C2×C42C2412yes—
953C2×C42C2412yes—
954C2×C42C2412yes—
955C2×C42C2412yes—
956C2×C42C2412yes—
957C2×C42C2412yes—
958C2×C42C2414yes—
959C2×C42C2412yes—
960C2×C42C2412yes—
961C2×C42C2414yes—
962C2×C42C2412yes—
963C2×C42C2414yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2412yes—
967C2×C42C2412yes—
968#95C2411yescharacteristic
969#95C2412yes—
970#95C2412yes—
971#95C2411yescharacteristic
972#95C2412yes—
973#95C2412yes—
974#95C2412yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2412yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2411yescharacteristic
991#95C2412yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2412yes—
996#95C2411yescharacteristic
997#95C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039C24—24no—
1040C24—24no—
1041C24—28no—
1042C24—44no—
1043C24—42no—
1044C24C2512yes—
1045C24C2511yescharacteristic
1046C24C2511yescharacteristic
1047C24C2512yes—
1048#41—416no—
1049C2×Q8—22no—
1050C2×Q8—24no—
1051C2×Q8—24no—
1052C2×Q8—24no—
1053C2×Q8—28no—
1054C2×Q8—28no—
1055C2×Q8—28no—
1056C2×Q8—24no—
1057C2×Q8—42no—
1058C2×Q8—41no—
1059C2×Q8—44no—
1060C2×Q8—44no—
1061C2×Q8—44no—
1062C2×Q8—44no—
1063C2×Q8—44no—
1064C2×Q8—42no—
1065C2×Q8—44no—
1066C2×Q8—44no—
1067C2×Q8—44no—
1068C2×Q8—44no—
1069C2×Q8—44no—
1070C2×Q8—832no—
1071C2×Q8—816no—
1072C2×D4—24no—
1073C2×D4—24no—
1074C2×D4—28no—
1075C2×D4—28no—
1076C2×D4—22no—
1077C2×D4—22no—
1078C2×D4—24no—
1079C2×D4—41no—
1080C2×D4—41no—
1081C2×D4—42no—
1082C2×D4—44no—
1083C2×D4—416no—
1084C2×D4H(5,𝔽2)14yes—
1085C2×D42−1+418yes—
1086C22×C4—24no—
1087C22×C4—28no—
1088C22×C4—28no—
1089C22×C4—28no—
1090C22×C4—28no—
1091C22×C4—28no—
1092C22×C4—24no—
1093C22×C4—28no—
1094C22×C4—28no—
1095C22×C4—22no—
1096C22×C4—28no—
1097C22×C4—22no—
1098C22×C4—28no—
1099C22×C4—28no—
1100C22×C4—22no—
1101C22×C4—24no—
1102C22×C4—28no—
1103C22×C4—24no—
1104C22×C4—24no—
1105C22×C4—28no—
1106C22×C4—44no—
1107C22×C4—41no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—44no—
1111C22×C4—41no—
1112C22×C4—44no—
1113C22×C4—42no—
1114C22×C4—44no—
1115C22×C4—44no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—41no—
1122C22×C4—42no—
1123C22×C4—44no—
1124C22×C4—816no—
1125C22×C4C2512yes—
1126C22×C4C2511yescharacteristic
1127C22×C4C2511yescharacteristic
1128C22×C4C2514yes—
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C22×C4C2512yes—
1132C22×C4C2511yescharacteristic
1133C22×C4C2512yes—
1134C22×C4C2514yes—
1135C22×C4C2514yes—
1136C22×C4C2512yes—
1137C22×C4C2512yes—
1138C22×C4C2512yes—
1139C22×C4C2514yes—
1140C22×C4C2511yescharacteristic
1141C22×C4C2512yes—
1142C22×C4C2514yes—
1143C22×C4C2512yes—
1144C22×C4C2514yes—
1145C22×C4C2512yes—
1146C22×C4C2512yes—
1147C22×C4C2512yes—
1148C22×C4C2512yes—
1149C22×C4C2511yescharacteristic
1150C4⋊C4—28no—
1151C4⋊C4—28no—
1152C4⋊C4—28no—
1153C4⋊C4—24no—
1154C4⋊C4—24no—
1155C4⋊C4—24no—
1156C4⋊C4—24no—
1157C4⋊C4—24no—
1158C4⋊C4—24no—
1159C4⋊C4—24no—
1160C4⋊C4—28no—
1161C4⋊C4—28no—
1162C4⋊C4—28no—
1163C4⋊C4—28no—
1164C4⋊C4—28no—
1165C4⋊C4—22no—
1166C4⋊C4—24no—
1167C4⋊C4—24no—
1168C4⋊C4—24no—
1169C4⋊C4—24no—
1170C4⋊C4—24no—
1171C4⋊C4—24no—
1172C4⋊C4—24no—
1173C4⋊C4—24no—
1174C4⋊C4—24no—
1175C4⋊C4—24no—
1176C4⋊C4—41no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—42no—
1191C4⋊C4—42no—
1192C4⋊C4—44no—
1193C4⋊C4—42no—
1194C4⋊C4—44no—
1195C4⋊C4—42no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—42no—
1202C4⋊C4—41no—
1203C4⋊C4—42no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—42no—
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⋊C4H(5,𝔽2)18yes—
1218C22⋊C4—28no—
1219C22⋊C4—28no—
1220C22⋊C4—24no—
1221C22⋊C4—28no—
1222C22⋊C4—24no—
1223C22⋊C4—28no—
1224C22⋊C4—28no—
1225C22⋊C4—28no—
1226C22⋊C4—24no—
1227C22⋊C4—24no—
1228C22⋊C4—24no—
1229C22⋊C4—24no—
1230C22⋊C4—28no—
1231C22⋊C4—28no—
1232C22⋊C4—24no—
1233C22⋊C4—24no—
1234C22⋊C4—24no—
1235C22⋊C4—28no—
1236C22⋊C4—24no—
1237C22⋊C4—41no—
1238C22⋊C4—44no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—42no—
1248C22⋊C4—41no—
1249C22⋊C4—44no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—41no—
1253C22⋊C4—42no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C42−1+414yes—
1260C42—24no—
1261C42—24no—
1262C42—28no—
1263C42—24no—
1264C42—22no—
1265C42—24no—
1266C42—24no—
1267C42—24no—
1268C42—24no—
1269C42—24no—
1270C42—24no—
1271C42—42no—
1272C42—44no—
1273C42—44no—
1274C42—42no—
1275C42—42no—
1276C42—44no—
1277C42—44no—
1278C23—24no—
1279C23—22no—
1280C23—22no—
1281C23—22no—
1282C23—21no—
1283C23—22no—
1284C23—21no—
1285C23—22no—
1286C23—24no—
1287C23—22no—
1288C23—21no—
1289C23—21no—
1290C23—22no—
1291C23—22no—
1292C23—24no—
1293C23—21no—
1294C23—22no—
1295C23—416no—
1296C23—48no—
1297C23—48no—
1298C23—84no—
1299C23—88no—
1300C23C2×H(5,𝔽2)14yes—
1301C23C2×2−1+412yes—
1302C23C2×2−1+418yes—
1303C23C2611yescharacteristic
1304Q8—48no—
1305Q8—44no—
1306Q8—44no—
1307Q8—88no—
1308Q8—88no—
1309Q8—88no—
1310Q8—88no—
1311Q8—84no—
1312D4—48no—
1313D4—48no—
1314D4—44no—
1315D4—82no—
1316D4—162no—
1317D4#563116yescomplemented
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—24no—
1329C2×C4—24no—
1330C2×C4—21no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—21no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—24no—
1339C2×C4—21no—
1340C2×C4—24no—
1341C2×C4—24no—
1342C2×C4—24no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—24no—
1347C2×C4—24no—
1348C2×C4—24no—
1349C2×C4—21no—
1350C2×C4—24no—
1351C2×C4—24no—
1352C2×C4—24no—
1353C2×C4—24no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—24no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—24no—
1366C2×C4—22no—
1367C2×C4—24no—
1368C2×C4—24no—
1369C2×C4—21no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—24no—
1373C2×C4—21no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—24no—
1377C2×C4—22no—
1378C2×C4—24no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—44no—
1382C2×C4—416no—
1383C2×C4—416no—
1384C2×C4—416no—
1385C2×C4—416no—
1386C2×C4—48no—
1387C2×C4—44no—
1388C2×C4—44no—
1389C2×C4—88no—
1390C2×C4—82no—
1391C2×C4—88no—
1392C2×C4—88no—
1393C2×C4—84no—
1394C2×C4—84no—
1395C2×C4—162no—
1396C2×C4C2×H(5,𝔽2)14yes—
1397C2×C4C2×H(5,𝔽2)14yes—
1398C2×C4C2×H(5,𝔽2)14yes—
1399C2×C4C2×H(5,𝔽2)12yes—
1400C2×C4C2×2−1+414yes—
1401C2×C4C2×2−1+414yes—
1402C22—24no—
1403C22—28no—
1404C22—24no—
1405C22—28no—
1406C22—24no—
1407C22—22no—
1408C22—41no—
1409C22—42no—
1410C22—41no—
1411C22—42no—
1412C22—41no—
1413C22—42no—
1414C22—44no—
1415C22—41no—
1416C22—42no—
1417C22—42no—
1418C22—44no—
1419C22—41no—
1420C22—42no—
1421C22—816no—
1422C22C2×#56318yes—
1423C22C22×H(5,𝔽2)12yes—
1424C22C22×H(5,𝔽2)11yescharacteristic
1425C22C22×2−1+411yescharacteristic
1426C22C22×2−1+412yes—
1427C222−1+611yescharacteristic
1428C4—24no—
1429C4—24no—
1430C4—24no—
1431C4—24no—
1432C4—44no—
1433C4—44no—
1434C4—41no—
1435C4—42no—
1436C4—44no—
1437C4—42no—
1438C4—42no—
1439C4—42no—
1440C4—44no—
1441C4—42no—
1442C4—42no—
1443C4—42no—
1444C4—41no—
1445C4—42no—
1446C4—44no—
1447C4—44no—
1448C4—42no—
1449C4—41no—
1450C4—41no—
1451C4—42no—
1452C4C2×#56314yes—
1453C2—28no—
1454C2—42no—
1455C2—81no—
1456C2—82no—
1457C2C22×#56311yescharacteristic
1458C2#6291511yescharacteristic
1459C2#6294212yes—
1460C2#6301111yescharacteristic
1461C2#6301612yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#546C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53118C2semidirect
2. #53009C2semidirect
3. #52987C2semidirect
4. #52974C2semidirect
5. #52567C2semidirect
6. #52449C2semidirect
7. #52396C2semidirect
8. #52322C2semidirect
9. #52300C2semidirect
10. C2×#2677C2semidirect
11. #46341C2semidirect
12. #46325C2semidirect
13. #46124C2semidirect
14. #46041C2semidirect
15. #46001C2semidirect
16. #45993C2semidirect
17. #45744C2semidirect
18. #45611C2semidirect
19. #45502C2semidirect
20. #45446C2semidirect
21. #36241C2semidirect
22. #36240C2semidirect
24. D4×C4⋊Q8C2semidirect
25. D4×C22⋊Q8C2semidirect
28. #35858C2semidirect
29. #35739C2semidirect
30. C2×#563C22semidirect
34. C22×C4⋊Q8C22semidirect
38. #2868C22semidirect
39. #2863C22semidirect
42. #2857C22semidirect
45. #2852C22semidirect
48. #2844C22semidirect
49. #2843C22semidirect
51. #2838C22semidirect
52. #2838C22semidirect
53. #2838C22semidirect
54. #2837C22semidirect
55. #2836C22semidirect
58. #2834C22semidirect
59. #2833C22semidirect
60. #2833C22semidirect
61. #2831C22semidirect
62. #2821C22semidirect
63. #2821C22semidirect
64. #2821C22semidirect
65. #2817C22semidirect
66. #2814C22semidirect
67. #2793C22semidirect
68. #2791C22semidirect
69. #2791C22semidirect
70. #2787C22semidirect
71. #2777C22semidirect
72. #2777C22semidirect
73. #2776C22semidirect
74. #2775C22semidirect
75. #2774C22semidirect
77. #2770C22semidirect
78. #2769C22semidirect
80. #2758C22semidirect
83. #2734C22semidirect
84. #2731C22semidirect
86. #2729C22semidirect
87. #2729C22semidirect
91. #2721C22semidirect
93. #2720C22semidirect
95. #2718C22semidirect
96. #2716C22semidirect
97. #2716C22semidirect
98. #2713C22semidirect
99. #2713C22semidirect
101. #2698C22semidirect
103. #2689C22semidirect
105. #2680C22semidirect
112. #2677C22semidirect
113. #2677C22semidirect
114. #2677C22semidirect
115. #2677C22semidirect
116. #2677C22semidirect
117. #2674C22semidirect
118. #2674C22semidirect
119. #2647C22semidirect
120. #2646C22semidirect
123. #2628C22semidirect
124. #2627C22semidirect
128. #2581C22semidirect
129. #2570C22semidirect
130. #2569C22semidirect
131. #2567C22semidirect
132. #2564C22semidirect
135. #2552C22semidirect
136. #2551C22semidirect
137. #2551C22semidirect
138. #2551C22semidirect
139. #2551C22semidirect
140. #2546C22semidirect
141. #2546C22semidirect
144. #2514C22semidirect
148. #2511C22semidirect
149. #2511C22semidirect
152. #2510C22semidirect
153. #2508C22semidirect
154. #2507C22semidirect
155. #2507C22semidirect
156. #2506C22semidirect
157. #2505C22semidirect
162. #2497C22semidirect
163. #2496C22semidirect
166. #2494C22semidirect
167. #2493C22semidirect
168. #2493C22semidirect
169. #2493C22semidirect
178. #2481C22semidirect
179. #2481C22semidirect
183. #2473C22semidirect
184. #2473C22semidirect
185. #2473C22semidirect
189. #2451C22semidirect
190. #2451C22semidirect
193. #2449C22semidirect
194. #2449C22semidirect
199. #2442C22semidirect
202. #2440C22semidirect
203. #2440C22semidirect
204. #2440C22semidirect
205. #2440C22semidirect
206. #2440C22semidirect
207. #2440C22semidirect
208. #2438C22semidirect
209. #2438C22semidirect
213. #2434C22semidirect
214. #2434C22semidirect
222. #2409C22semidirect
223. #2402C22semidirect
225. #2396C22semidirect
228. C2×#398C22semidirect
229. C2×#395C22semidirect
232. #2381C22semidirect
233. #2378C22semidirect
249. C4×C4⋊Q8C22semidirect
251. C4×#126C22semidirect
255. C2×#387C22semidirect
1317. D4#563semidirect

Maximal subgroups

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

subgroupindex
#531182
#530092
#529872
#529742
#525672
#524492
#523962
#523222
#523002
C2×#26772
#463412
#463252
#461242
#460412
#460012
#459932
#457442
#456112
#455022
#454462
#362412
#362402
#362372
D4×C4⋊Q82
D4×C22⋊Q82
#359872
#359392
#358582
#357392