Finite Group Databasebeta

← #7989894

Subgroups — #7989894

Order 512.

4859 conjugacy classes of subgroups.

The subgroup lattice has 1482 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#50164C213yesmaximal, complemented
2#49851C213yesmaximal, complemented
3#49474C213yesmaximal, complemented
4#49258C213yesmaximal, complemented
5#49245C213yesmaximal, complemented
6#48685C213yesmaximal, complemented
7#48373C213yesmaximal, complemented
8#48361C213yesmaximal, complemented
9#47563C211yesmaximal, characteristic, complemented
10#46447C213yesmaximal, complemented
11#46432C211yesmaximal, characteristic, complemented
12#46350C213yesmaximal, complemented
13#42619C213yesmaximal, complemented
14#42272C213yesmaximal, complemented
15#41883C213yesmaximal, complemented
16#41836C213yesmaximal, complemented
17#41827C213yesmaximal, complemented
18#40797C213yesmaximal, complemented
19#40740C213yesmaximal, complemented
20#40728C213yesmaximal, complemented
21#37528C211yesmaximal, characteristic, complemented
22#37483C213yesmaximal, complemented
23#34407C213yesmaximal, complemented
24C2×#534C2213yes—
25#2840C2211yescharacteristic, complemented
26#2838C2213yescomplemented
27#2835C2211yescharacteristic, complemented
28#2828C2213yescomplemented
29#2826C2213yescomplemented
30#2825C2213yes—
31#2825C2213yescomplemented
32#2825C2211yescharacteristic, complemented
33#2824C2213yescomplemented
34#2812C2213yescomplemented
35#2804C2213yescomplemented
36#2800C2213yescomplemented
37#2800C2213yescomplemented
38#2798C2213yescomplemented
39#2797C2213yescomplemented
40#2797C2213yescomplemented
41#2796C2213yescomplemented
42#2788C2213yescomplemented
43#2786C2213yescomplemented
44#2779C2213yescomplemented
45#2778C2213yescomplemented
46#2762C2213yescomplemented
47#2757C2213yescomplemented
48#2756C2213yescomplemented
49#2752C2213yescomplemented
50#2750C2213yescomplemented
51#2747C2213yescomplemented
52#2741C2213yescomplemented
53#2741C2213yescomplemented
54#2739C2213yescomplemented
55#2738C2213yescomplemented
56#2736C2213yescomplemented
57#2735C2213yescomplemented
58#2735C2213yescomplemented
59#2733C2213yescomplemented
60#2731C2213yescomplemented
61#2730C2213yescomplemented
62#2730C2213yescomplemented
63#2730C2213yescomplemented
64#2730C2213yescomplemented
65#2729C2213yescomplemented
66#2714C2213yescomplemented
67#2714C2213yescomplemented
68#2711C2213yescomplemented
69#2708C2213yescomplemented
70#2708C2213yescomplemented
71#2706C2213yescomplemented
72#2706C2213yescomplemented
73#2703C2213yescomplemented
74#2703C2213yescomplemented
75#2703C2213yescomplemented
76#2703C2213yescomplemented
77#2699C2213yescomplemented
78#2697C2213yescomplemented
79#2697C2213yescomplemented
80#2693C2213yescomplemented
81#2692C2213yescomplemented
82#2690C2213yescomplemented
83#2689C2213yescomplemented
84#2688C2213yescomplemented
85#2685C2213yescomplemented
86#2685C2213yescomplemented
87#2684C2213yescomplemented
88#2681C2213yescomplemented
89#2678C2213yescomplemented
90#2675C2213yescomplemented
91#2674C2213yescomplemented
92#2670C2213yes—
93#2670C2213yescomplemented
94#2670C2213yescomplemented
95#2670C2213yescomplemented
96#2670C2213yescomplemented
97#2668C2213yes—
98#2668C2213yes—
99#2664C2213yescomplemented
100#2661C2213yescomplemented
101#2654C2213yescomplemented
102#2653C2213yescomplemented
103#2653C2213yescomplemented
104#2653C2213yescomplemented
105#2653C2213yescomplemented
106#2648C2213yescomplemented
107#2648C2213yescomplemented
108#2648C2213yescomplemented
109#2643C2213yescomplemented
110#2643C2213yescomplemented
111#2639C2213yescomplemented
112#2639C2213yescomplemented
113#2638C2213yescomplemented
114#2635C2213yescomplemented
115#2631C2213yescomplemented
116#2631C2213yescomplemented
117#2624C2213yescomplemented
118#2622C2213yescomplemented
119#2622C2213yescomplemented
120#2622C2213yescomplemented
121#2617C2213yescomplemented
122#2617C2213yescomplemented
123#2610C2213yescomplemented
124#2610C2213yescomplemented
125#2610C2213yescomplemented
126#2610C2213yescomplemented
127#2602C2213yescomplemented
128#2601C2213yescomplemented
129#2597C2213yescomplemented
130#2597C2213yescomplemented
131#2596C2213yescomplemented
132#2595C2213yescomplemented
133#2593C2213yescomplemented
134#2589C2213yescomplemented
135#2578C2213yescomplemented
136#2577C2213yescomplemented
137#2561C2213yescomplemented
138#2560C2213yescomplemented
139#2559C2213yescomplemented
140#2558C2213yescomplemented
141#2557C2213yescomplemented
142#2557C2213yescomplemented
143#2555C2213yescomplemented
144#2547C2213yescomplemented
145#2540C2213yescomplemented
146#2535C2213yes—
147#2532C2213yescomplemented
148#2530C2213yescomplemented
149#2528C2213yescomplemented
150#2526C2213yescomplemented
151#2523C2213yescomplemented
152#2521C2213yescomplemented
153#2516C2213yescomplemented
154#2513C2213yescomplemented
155#2510C2213yescomplemented
156#2510C2213yescomplemented
157#2510C2213yescomplemented
158#2494C2213yescomplemented
159#2492C2213yescomplemented
160#2491C2213yescomplemented
161#2490C2213yescomplemented
162#2485C2213yescomplemented
163#2480C2213yescomplemented
164#2479C2213yescomplemented
165#2477C2213yescomplemented
166#2477C2213yescomplemented
167#2475C2213yescomplemented
168#2474C2213yescomplemented
169#2474C2213yescomplemented
170#2472C2213yescomplemented
171#2472C2213yescomplemented
172#2472C2213yescomplemented
173#2472C2213yescomplemented
174#2471C2213yescomplemented
175#2467C2213yescomplemented
176#2467C2213yescomplemented
177#2464C2213yescomplemented
178#2464C2213yescomplemented
179#2464C2213yescomplemented
180#2463C2213yescomplemented
181#2460C2213yescomplemented
182#2459C2213yescomplemented
183#2459C2213yescomplemented
184#2459C2213yescomplemented
185#2459C2213yescomplemented
186#2452C2213yescomplemented
187#2450C2213yescomplemented
188#2447C2213yescomplemented
189#2444C2213yescomplemented
190#2444C2213yescomplemented
191#2437C2213yescomplemented
192#2435C2213yescomplemented
193#2427C2213yescomplemented
194#2424C2213yescomplemented
195#2424C2213yescomplemented
196#2424C2213yescomplemented
197#2424C2213yescomplemented
198#2418C2213yescomplemented
199#2418C2213yescomplemented
200#2414C2213yescomplemented
201#2410C2213yescomplemented
202#2410C2213yescomplemented
203#2410C2213yescomplemented
204#2408C2213yes—
205#2408C2213yescomplemented
206#2408C2213yescomplemented
207#2405C2213yescomplemented
208#2403C2213yescomplemented
209#2403C2213yescomplemented
210#2403C2213yescomplemented
211#2401C2213yescomplemented
212#2401C2211yescharacteristic, complemented
213#2392C2213yescomplemented
214C2×#392C2211yescharacteristic, complemented
215#2377C2213yescomplemented
216#2377C2213yescomplemented
217#2376C2213yescomplemented
218#2375C2213yescomplemented
219#2374C2213yescomplemented
220#2363C2213yescomplemented
221#2363C2213yescomplemented
222#2359C2213yescomplemented
223#2359C2213yescomplemented
224#2359C2213yescomplemented
225#2359C2213yescomplemented
226#2358C2213yescomplemented
227#2342C2213yescomplemented
228#2342C2213yescomplemented
229D4×C22⋊C4C2213yescomplemented
230D4×C22⋊C4C2213yescomplemented
231#2335C2213yescomplemented
232#2335C2213yescomplemented
233#2333C2213yescomplemented
234#2333C2213yescomplemented
235#2324C2213yescomplemented
236#2324C2213yescomplemented
237#2321C2213yes—
238#2321C2213yescomplemented
239#2321C2213yescomplemented
240#2321C2213yescomplemented
241#2309C2213yescomplemented
242C4×#120C2211yescharacteristic
243C4×#120C2213yescomplemented
244C2×#386C2213yescomplemented
245C23×D4C2313yes—
246C23×D4C2313yes—
247C23×D4C2313yes—
248C24×C4C2311yescharacteristic
249#534—224no—
250C2×C4⋊Q8C2313yes—
251C2×#126C2313yes—
252C2×#126C2313yes—
253C2×#125C2313yes—
254C2×#124C2313yes—
255C2×#124C2313yes—
256C2×#124C2313yes—
257C2×#124C2313yes—
258C2×#124C2313yes—
259C2×#124C2313yes—
260C2×#124C2313yes—
261C2×#123C2313yes—
262C2×#123C2313yes—
263C2×#123C2313yes—
264C2×#123C2313yes—
265C2×#123C2313yes—
266C2×#123C2313yes—
267C2×C22⋊Q8C2313yes—
268C2×C22⋊Q8C2313yes—
269C2×C22⋊Q8C2313yes—
270C2×C22⋊Q8C2313yes—
271C2×C22⋊Q8C2313yes—
272C2×#121C2313yes—
273C2×#121C2313yes—
274C2×#121C2313yes—
275C2×#121C2313yes—
276C2×#121C2313yes—
277C2×#121C2313yes—
278C2×#121C2313yes—
279C2×#121C2313yes—
280C2×#121C2313yes—
281C2×#121C2313yes—
282C2×#121C2313yes—
283C2×#121C2313yes—
284C2×#120C2313yes—
285C2×#120C2313yes—
286C2×#120C2313yes—
287C2×#120C2313yes—
288C2×#120C2313yes—
289C2×#120C2313yes—
290C2×#120C2313yes—
291C2×#120C2313yes—
292C2×#120C2313yes—
293C2×#120C2313yes—
294C2×#120C2313yes—
295C2×#120C2311yescharacteristic
296C2×C4×D4C2313yes—
297C2×C4×D4C2313yes—
298C2×C4×D4C2313yes—
299C2×C4×D4C2313yes—
300C2×C4×D4C2313yes—
301C2×C4×D4C2313yes—
302C2×C4×D4C2313yes—
303C2×C4×D4C2313yes—
304C2×C4×D4C2313yes—
305C2×#117C2313yes—
306C2×#117C2313yes—
307C2×#117C2313yes—
308C2×#117C2313yes—
309C22×C22⋊C4C2313yes—
310C22×C22⋊C4C2313yes—
311C22×C22⋊C4C2313yes—
312C22×C22⋊C4C2313yes—
313C22×C22⋊C4C2313yes—
314C22×C22⋊C4C2313yes—
315#401C2313yes—
316#401C2313yes—
317#401C2311yescharacteristic
318#401C2311yescharacteristic
319#400C2313yes—
320#400C2313yes—
321#400C2313yes—
322#400C2313yes—
323#400C2313yes—
324#400C2313yes—
325#400C2313yes—
326#400C2313yes—
327#400C2313yes—
328#400C2313yes—
329#400C2313yes—
330#400C2313yes—
331#400C2313yes—
332#400C2313yes—
333#399C2313yes—
334#399C2313yes—
335#399C2313yes—
336#399C2313yes—
337#399C2313yes—
338#399C2313yes—
339#398C2313yes—
340#398C2313yes—
341#398C2313yes—
342#398C2313yes—
343#398C2313yes—
344#398C2313yes—
345#398C2313yes—
346#397C2313yes—
347#397C2313yes—
348#397C2313yes—
349#397C2313yes—
350#397C2313yes—
351#397C2313yes—
352#397C2313yes—
353#397C2313yes—
354#397C2313yes—
355#397C2313yes—
356#397C2313yes—
357#397C2313yes—
358#397C2313yes—
359#397C2313yes—
360#397C2313yes—
361#397C2313yes—
362#397C2313yes—
363#397C2313yes—
364#397C2313yes—
365#397C2313yes—
366#397C2313yes—
367#397C2313yes—
368#397C2313yes—
369#397C2313yes—
370#397C2313yes—
371#397C2313yes—
372#397C2313yes—
373#397C2313yes—
374#397C2313yes—
375#397C2313yes—
376#397C2313yes—
377#397C2313yes—
378#397C2313yes—
379#396C2313yes—
380#396C2313yes—
381#396C2311yescharacteristic
382#396C2313yes—
383#396C2313yes—
384#396C2313yes—
385#396C2313yes—
386#396C2313yes—
387#396C2313yes—
388#396C2313yes—
389#396C2311yescharacteristic
390#396C2313yes—
391#395C2311yescharacteristic
392#395C2311yescharacteristic
393#395C2313yes—
394#395C2313yes—
395#394C2313yes—
396#394C2313yes—
397#394C2313yes—
398#394C2313yes—
399#394C2313yes—
400#394C2313yes—
401#394C2313yes—
402#394C2313yes—
403#394C2313yes—
404#394C2313yes—
405#394C2313yes—
406#394C2313yes—
407#394C2313yes—
408#394C2313yes—
409#394C2313yes—
410#394C2313yes—
411#394C2313yes—
412#394C2313yes—
413#394C2313yes—
414#394C2313yes—
415#394C2313yes—
416#394C2313yes—
417#394C2313yes—
418#394C2313yes—
419#394C2313yes—
420#394C2313yes—
421#394C2313yes—
422#394C2313yes—
423#394C2313yes—
424#394C2313yes—
425#394C2313yes—
426#394C2313yes—
427#394C2313yes—
428#394C2313yes—
429#394C2313yes—
430#394C2313yes—
431#394C2313yes—
432#394C2313yes—
433#394C2313yes—
434#393C2313yes—
435#393C2313yes—
436#393C2313yes—
437#393C2313yes—
438#393C2313yes—
439#393C2311yescharacteristic
440#393C2313yes—
441#393C2313yes—
442#393C2313yes—
443#393C2313yes—
444#393C2313yes—
445#393C2313yes—
446#392C2313yes—
447#392C2313yes—
448#392C2313yes—
449#392C2313yes—
450#392C2313yes—
451#392C2313yes—
452#392C2313yes—
453#392C2313yes—
454#392C2313yes—
455#392C2313yes—
456#392C2311yescharacteristic
457#392C2313yes—
458#392C2313yes—
459#392C2313yes—
460#392C2313yes—
461#392C2313yes—
462#392C2311yescharacteristic
463#392C2313yes—
464#392C2313yes—
465#392C2313yes—
466#392C2311yescharacteristic
467#392C2313yes—
468#392C2313yes—
469#392C2313yes—
470#392C2313yes—
471#391C2313yes—
472#391C2313yes—
473#391C2313yes—
474#391C2313yes—
475#391C2313yes—
476#391C2313yes—
477#391C2313yes—
478#390C2313yes—
479#390C2313yes—
480#390C2313yes—
481#390C2313yes—
482#390C2313yes—
483#390C2313yes—
484#390C2313yes—
485#390C2313yes—
486#390C2313yes—
487#390C2313yes—
488#390C2313yes—
489#390C2313yes—
490#390C2313yes—
491#390C2313yes—
492#390C2313yes—
493#390C2313yes—
494#390C2313yes—
495#390C2313yes—
496#390C2313yes—
497#390C2313yes—
498#390C2313yes—
499#390C2313yes—
500#390C2313yes—
501#390C2313yes—
502#390C2313yes—
503#389C2313yes—
504#389C2313yes—
505#389C2313yes—
506#389C2313yes—
507#389C2313yes—
508#389C2313yes—
509#389C2313yes—
510#389C2313yes—
511#388C2313yes—
512#388C2313yes—
513#388C2313yes—
514#388C2313yes—
515#388C2313yes—
516#388C2313yes—
517#388C2313yes—
518#388C2313yes—
519#388C2313yes—
520#388C2313yes—
521#388C2313yes—
522#388C2313yes—
523#388C2313yes—
524#388C2313yes—
525#388C2313yes—
526#388C2313yes—
527#388C2313yes—
528#388C2313yes—
529#388C2313yes—
530#388C2313yes—
531#388C2313yes—
532#388C2313yes—
533#388C2313yes—
534#388C2313yes—
535#388C2313yes—
536#388C2313yes—
537#388C2313yes—
538#388C2313yes—
539#388C2313yes—
540#388C2313yes—
541#388C2313yes—
542#388C2313yes—
543#388C2313yes—
544#388C2313yes—
545#388C2313yes—
546#388C2313yes—
547#388C2313yes—
548#388C2313yes—
549#388C2313yes—
550#388C2313yes—
551#388C2313yes—
552#388C2313yes—
553#388C2313yes—
554#388C2313yes—
555#388C2313yes—
556#388C2313yes—
557#388C2313yes—
558#388C2313yes—
559#388C2313yes—
560#388C2313yes—
561#388C2313yes—
562#388C2313yes—
563#388C2313yes—
564#388C2313yes—
565#388C2313yes—
566#388C2313yes—
567#388C2313yes—
568#388C2313yes—
569#387C2313yes—
570#387C2313yes—
571#387C2313yes—
572#387C2313yes—
573#387C2313yes—
574#387C2313yes—
575#387C2313yes—
576#387C2313yes—
577#387C2313yes—
578#387C2313yes—
579#387C2313yes—
580#387C2313yes—
581#387C2313yes—
582#387C2313yes—
583#387C2313yes—
584#387C2313yes—
585#387C2313yes—
586#387C2313yes—
587#387C2313yes—
588#387C2313yes—
589#387C2313yes—
590#387C2313yes—
591#387C2313yes—
592#387C2313yes—
593#386C2313yes—
594#386C2313yes—
595#386C2313yes—
596#386C2313yes—
597#386C2313yes—
598#386C2313yes—
599#386C2313yes—
600#386C2313yes—
601#386C2313yes—
602#386C2313yes—
603#386C2313yes—
604#386C2313yes—
605#386C2313yes—
606#386C2313yes—
607#386C2313yes—
608#386C2313yes—
609#386C2313yes—
610#386C2313yes—
611#386C2313yes—
612#386C2313yes—
613#386C2313yes—
614#386C2313yes—
615#386C2313yes—
616#386C2313yes—
617#386C2313yes—
618#386C2313yes—
619#386C2313yes—
620#386C2313yes—
621#386C2313yes—
622#386C2313yes—
623#386C2313yes—
624#386C2313yes—
625#386C2313yes—
626#386C2313yes—
627#386C2313yes—
628#386C2313yes—
629#386C2313yes—
630#386C2313yes—
631#386C2313yes—
632#386C2313yes—
633#386C2313yes—
634#386C2313yes—
635#386C2313yes—
636#386C2313yes—
637#386C2313yes—
638#386C2313yes—
639#386C2313yes—
640#386C2313yes—
641#385C2313yes—
642#385C2313yes—
643#385C2313yes—
644#385C2313yes—
645#385C2313yes—
646#385C2313yes—
647#385C2313yes—
648#385C2313yes—
649#385C2313yes—
650#385C2313yes—
651#385C2313yes—
652#385C2313yes—
653#385C2313yes—
654#385C2313yes—
655#385C2313yes—
656#385C2313yes—
657#385C2313yes—
658#385C2313yes—
659#385C2313yes—
660#385C2313yes—
661#385C2313yes—
662#385C2313yes—
663#383C2313yes—
664#383C2313yes—
665#382C2313yes—
666#381C2313yes—
667#381C2313yes—
668#381C2313yes—
669#381C2313yes—
670#380C2313yes—
671#380C2313yes—
672#380C2313yes—
673#380C2313yes—
674#380C2313yes—
675#380C2313yes—
676#380C2313yes—
677#380C2313yes—
678#380C2313yes—
679#380C2313yes—
680#380C2313yes—
681#379C2313yes—
682#379C2313yes—
683#379C2311yescharacteristic
684#379C2313yes—
685#379C2313yes—
686#379C2313yes—
687#379C2313yes—
688#379C2313yes—
689#379C2313yes—
690#379C2313yes—
691#379C2313yes—
692#379C2313yes—
693C4×C4⋊C4C2313yes—
694C4×C4⋊C4C2313yes—
695C4×C4⋊C4C2313yes—
696C4×C4⋊C4C2313yes—
697C4×C4⋊C4C2313yes—
698C4×C4⋊C4C2313yes—
699C4×C4⋊C4C2313yes—
700C4×C22⋊C4C2313yes—
701C4×C22⋊C4C2313yes—
702C4×C22⋊C4C2313yes—
703C4×C22⋊C4C2313yes—
704C4×C22⋊C4C2313yes—
705C4×C22⋊C4C2313yes—
706C4×C22⋊C4C2313yes—
707C4×C22⋊C4C2313yes—
708C4×C22⋊C4C2313yes—
709C4×C22⋊C4C2313yes—
710C4×C22⋊C4C2313yes—
711C4×C22⋊C4C2313yes—
712C4×C22⋊C4C2313yes—
713C4×C22⋊C4C2313yes—
714C4×C22⋊C4C2313yes—
715C4×C22⋊C4C2313yes—
716#376C2313yes—
717#376C2311yescharacteristic
718C2×#95C2313yes—
719C2×#95C2313yes—
720C2×#95C2311yescharacteristic
721C25C2413yes—
722C25C2413yes—
723C25C2411yescharacteristic
724C22×Q8C2411yescharacteristic
725C22×Q8C2413yes—
726C22×Q8C2413yes—
727C22×D4—212no—
728C22×D4—212no—
729C22×D4—83no—
730C22×D4—83no—
731C22×D4—83no—
732C22×D4—83no—
733C22×D4—83no—
734C22×D4—83no—
735C22×D4—83no—
736C22×D4C2413yes—
737C22×D4C2413yes—
738C22×D4C2413yes—
739C22×D4C2413yes—
740C22×D4C2413yes—
741C22×D4C2413yes—
742C22×D4C2413yes—
743C22×D4C2413yes—
744C22×D4C2413yes—
745C22×D4C2413yes—
746C22×D4C2413yes—
747C22×D4C2413yes—
748C22×D4C2413yes—
749C22×D4C2413yes—
750C22×D4C2413yes—
751C22×D4C2413yes—
752C22×D4C2413yes—
753C22×D4C2413yes—
754C22×D4C2413yes—
755C23×C4—83no—
756C23×C4C2413yes—
757C23×C4C2413yes—
758C23×C4C2413yes—
759C23×C4C2413yes—
760C23×C4C2411yescharacteristic
761C23×C4C2413yes—
762C23×C4C2413yes—
763C23×C4C2413yes—
764C23×C4C2413yes—
765C23×C4C2413yes—
766C23×C4C2413yes—
767C23×C4C2413yes—
768C4⋊Q8—83no—
769#126—83no—
770#126—83no—
771#125—83no—
772#124—83no—
773#124—83no—
774#124—83no—
775#124—83no—
776#124—83no—
777#124—83no—
778#124—83no—
779#123—212no—
780#123—212no—
781#123—212no—
782#123—212no—
783#123—83no—
784#123—83no—
785C22⋊Q8—83no—
786C22⋊Q8—83no—
787C22⋊Q8—83no—
788C22⋊Q8—83no—
789C22⋊Q8—83no—
790#121—212no—
791#121—212no—
792#121—212no—
793#121—212no—
794#121—83no—
795#121—83no—
796#121—83no—
797#121—83no—
798#121—83no—
799#121—83no—
800#121—83no—
801#121—83no—
802#120—212no—
803#120—212no—
804#120—212no—
805#120—83no—
806#120—83no—
807#120—83no—
808#120—83no—
809#120—83no—
810#120—83no—
811#120—83no—
812#120—83no—
813#120#4118yes—
814C4×D4—83no—
815C4×D4—83no—
816C4×D4—83no—
817C4×D4—83no—
818C4×D4—83no—
819C4×D4—83no—
820C4×D4—83no—
821C4×D4—83no—
822C4×D4—83no—
823#117—83no—
824#117—83no—
825#117—83no—
826#117—83no—
827C2×C4⋊C4C2413yes—
828C2×C4⋊C4C2413yes—
829C2×C4⋊C4C2413yes—
830C2×C4⋊C4C2413yes—
831C2×C4⋊C4C2413yes—
832C2×C4⋊C4C2413yes—
833C2×C4⋊C4C2413yes—
834C2×C4⋊C4C2413yes—
835C2×C4⋊C4C2413yes—
836C2×C4⋊C4C2413yes—
837C2×C4⋊C4C2413yes—
838C2×C4⋊C4C2413yes—
839C2×C4⋊C4C2413yes—
840C2×C4⋊C4C2413yes—
841C2×C4⋊C4C2413yes—
842C2×C4⋊C4C2413yes—
843C2×C4⋊C4C2413yes—
844C2×C4⋊C4C2413yes—
845C2×C4⋊C4C2413yes—
846C2×C4⋊C4C2413yes—
847C2×C4⋊C4C2413yes—
848C2×C4⋊C4C2413yes—
849C2×C4⋊C4C2413yes—
850C2×C4⋊C4C2413yes—
851C2×C4⋊C4C2413yes—
852C2×C4⋊C4C2413yes—
853C2×C4⋊C4C2413yes—
854C2×C4⋊C4C2413yes—
855C2×C4⋊C4C2413yes—
856C2×C4⋊C4C2413yes—
857C2×C4⋊C4C2413yes—
858C2×C4⋊C4C2413yes—
859C2×C4⋊C4C2413yes—
860C2×C4⋊C4C2413yes—
861C2×C22⋊C4—212no—
862C2×C22⋊C4—83no—
863C2×C22⋊C4—83no—
864C2×C22⋊C4—83no—
865C2×C22⋊C4—83no—
866C2×C22⋊C4—83no—
867C2×C22⋊C4C2413yes—
868C2×C22⋊C4C2413yes—
869C2×C22⋊C4C2413yes—
870C2×C22⋊C4C2413yes—
871C2×C22⋊C4C2413yes—
872C2×C22⋊C4C2413yes—
873C2×C22⋊C4C2413yes—
874C2×C22⋊C4C2413yes—
875C2×C22⋊C4C2413yes—
876C2×C22⋊C4C2413yes—
877C2×C22⋊C4C2413yes—
878C2×C22⋊C4C2413yes—
879C2×C22⋊C4C2413yes—
880C2×C22⋊C4C2413yes—
881C2×C22⋊C4C2413yes—
882C2×C22⋊C4C2413yes—
883C2×C22⋊C4C2413yes—
884C2×C22⋊C4C2413yes—
885C2×C22⋊C4C2413yes—
886C2×C22⋊C4C2413yes—
887C2×C22⋊C4C2413yes—
888C2×C22⋊C4C2413yes—
889C2×C22⋊C4C2413yes—
890C2×C22⋊C4C2413yes—
891C2×C22⋊C4C2413yes—
892C2×C22⋊C4C2413yes—
893C2×C22⋊C4C2413yes—
894C2×C22⋊C4C2413yes—
895C2×C22⋊C4C2413yes—
896C2×C22⋊C4C2413yes—
897C2×C22⋊C4C2413yes—
898C2×C22⋊C4C2413yes—
899C2×C22⋊C4C2413yes—
900C2×C22⋊C4C2413yes—
901C2×C22⋊C4C2413yes—
902C2×C22⋊C4C2413yes—
903C2×C22⋊C4C2413yes—
904C2×C22⋊C4C2413yes—
905C2×C22⋊C4C2413yes—
906C2×C22⋊C4C2413yes—
907C2×C22⋊C4C2413yes—
908C2×C22⋊C4C2413yes—
909C2×C22⋊C4C2413yes—
910C2×C22⋊C4C2413yes—
911C2×C22⋊C4C2413yes—
912C2×C22⋊C4C2413yes—
913C2×C22⋊C4C2413yes—
914C2×C22⋊C4C2413yes—
915C2×C22⋊C4C2413yes—
916C2×C22⋊C4C2413yes—
917C2×C22⋊C4C2413yes—
918C2×C22⋊C4C2413yes—
919C2×C22⋊C4C2413yes—
920C2×C22⋊C4C2413yes—
921C2×C22⋊C4C2413yes—
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2413yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2413yes—
929C2×C22⋊C4C2413yes—
930C2×C22⋊C4C2413yes—
931C2×C22⋊C4C2413yes—
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2413yes—
934C2×C22⋊C4C2413yes—
935C2×C22⋊C4C2413yes—
936C2×C22⋊C4C2413yes—
937C2×C22⋊C4C2413yes—
938C2×C22⋊C4C2413yes—
939C2×C22⋊C4C2413yes—
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2413yes—
942C2×C22⋊C4C2413yes—
943C2×C22⋊C4C2413yes—
944C2×C22⋊C4C2413yes—
945C2×C42C2413yes—
946C2×C42C2413yes—
947C2×C42C2413yes—
948C2×C42C2413yes—
949C2×C42C2413yes—
950C2×C42C2413yes—
951C2×C42C2413yes—
952C2×C42C2413yes—
953C2×C42C2413yes—
954C2×C42C2413yes—
955C2×C42C2413yes—
956C2×C42C2413yes—
957C2×C42C2413yes—
958C2×C42C2413yes—
959#95C2413yes—
960#95C2413yes—
961#95C2413yes—
962#95C2413yes—
963#95C2413yes—
964#95C2413yes—
965#95C2413yes—
966#95C2411yescharacteristic
967#95C2413yes—
968#95C2413yes—
969#95C2413yes—
970#95C2413yes—
971#95C2413yes—
972#95C2413yes—
973#95C2413yes—
974#95C2411yescharacteristic
975#95C2413yes—
976#95C2413yes—
977#95C2413yes—
978#95C2413yes—
979#95C2413yes—
980#95C2413yes—
981#95C2413yes—
982#95C2413yes—
983#95C2413yes—
984#95C2413yes—
985#95C2413yes—
986#95C2413yes—
987#95C2413yes—
988#95C2413yes—
989#95C2413yes—
990#95C2413yes—
991#95C2413yes—
992#95C2413yes—
993#95C2413yes—
994#95C2413yes—
995#95C2413yes—
996#95C2413yes—
997#95C2413yes—
998#95C2413yes—
999#95C2413yes—
1000#95C2413yes—
1001#95C2413yes—
1002#95C2413yes—
1003#95C2413yes—
1004#95C2413yes—
1005#95C2413yes—
1006#95C2413yes—
1007#95C2413yes—
1008#95C2413yes—
1009#95C2413yes—
1010#95C2413yes—
1011#95C2413yes—
1012#95C2413yes—
1013#95C2413yes—
1014#95C2413yes—
1015#95C2413yes—
1016#95C2411yescharacteristic
1017C24—26no—
1018C24—26no—
1019C24—43no—
1020C24—43no—
1021C24—43no—
1022C24—43no—
1023C24—43no—
1024C24—43no—
1025C24—43no—
1026C24—43no—
1027C24—43no—
1028C24—43no—
1029C24—43no—
1030C24—43no—
1031C24—43no—
1032C24—43no—
1033C24C2×#4114yes—
1034C24C2513yes—
1035C24C2513yes—
1036C24C2513yes—
1037C24C2511yescharacteristic
1038C24C2513yes—
1039C2×Q8—43no—
1040C2×Q8—43no—
1041C2×Q8—43no—
1042C2×Q8—43no—
1043C2×Q8—43no—
1044C2×Q8—43no—
1045C2×Q8—43no—
1046C2×D4—26no—
1047C2×D4—26no—
1048C2×D4—26no—
1049C2×D4—26no—
1050C2×D4—26no—
1051C2×D4—26no—
1052C2×D4—26no—
1053C2×D4—26no—
1054C2×D4—26no—
1055C2×D4—43no—
1056C2×D4—43no—
1057C2×D4—43no—
1058C2×D4—43no—
1059C2×D4—43no—
1060C2×D4—43no—
1061C2×D4—43no—
1062C2×D4—43no—
1063C2×D4—43no—
1064C2×D4—43no—
1065C2×D4—43no—
1066C2×D4—43no—
1067C2×D4—43no—
1068C2×D4—43no—
1069C2×D4—43no—
1070C2×D4—43no—
1071C2×D4—43no—
1072C2×D4—43no—
1073C2×D4—43no—
1074C2×D4—43no—
1075C2×D4—43no—
1076C2×D4—43no—
1077C2×D4—43no—
1078C2×D4—43no—
1079C2×D4—43no—
1080C2×D4—43no—
1081C2×D4—43no—
1082C2×D4—43no—
1083C2×D4—43no—
1084C2×D4—43no—
1085C2×D4—43no—
1086C2×D4—43no—
1087C2×D4—43no—
1088C2×D4—43no—
1089C2×D4—43no—
1090C2×D4—43no—
1091C2×D4—43no—
1092C2×D4—43no—
1093C2×D4—43no—
1094C2×D4—43no—
1095C2×D4—43no—
1096C2×D4—43no—
1097C2×D4—43no—
1098C2×D4—43no—
1099C2×D4—43no—
1100C2×D4—43no—
1101C2×D4—43no—
1102C2×D4—824no—
1103C2×D4—824no—
1104C2×D4—824no—
1105C2×D4C2×#41112yes—
1106C22×C4—26no—
1107C22×C4—26no—
1108C22×C4—26no—
1109C22×C4—26no—
1110C22×C4—43no—
1111C22×C4—43no—
1112C22×C4—43no—
1113C22×C4—43no—
1114C22×C4—43no—
1115C22×C4—43no—
1116C22×C4—43no—
1117C22×C4—43no—
1118C22×C4—43no—
1119C22×C4—43no—
1120C22×C4—43no—
1121C22×C4—43no—
1122C22×C4—43no—
1123C22×C4—43no—
1124C22×C4—43no—
1125C22×C4—43no—
1126C22×C4—43no—
1127C22×C4—43no—
1128C22×C4—43no—
1129C22×C4—43no—
1130C22×C4—43no—
1131C22×C4—43no—
1132C22×C4—43no—
1133C22×C4—43no—
1134C22×C4—43no—
1135C22×C4—43no—
1136C22×C4—43no—
1137C22×C4—43no—
1138C22×C4—43no—
1139C22×C4—43no—
1140C22×C4—88no—
1141C22×C4C2513yes—
1142C22×C4C2511yescharacteristic
1143C22×C4C2513yes—
1144C22×C4C2513yes—
1145C22×C4C2513yes—
1146C22×C4C2513yes—
1147C22×C4C2513yes—
1148C22×C4C2513yes—
1149C22×C4C2513yes—
1150C22×C4C2513yes—
1151C22×C4C2513yes—
1152C22×C4C2513yes—
1153C22×C4C2513yes—
1154C22×C4C2513yes—
1155C22×C4C2513yes—
1156C22×C4C2513yes—
1157C22×C4C2511yescharacteristic
1158C22×C4C2513yes—
1159C4⋊C4—26no—
1160C4⋊C4—26no—
1161C4⋊C4—26no—
1162C4⋊C4—26no—
1163C4⋊C4—43no—
1164C4⋊C4—43no—
1165C4⋊C4—43no—
1166C4⋊C4—43no—
1167C4⋊C4—43no—
1168C4⋊C4—43no—
1169C4⋊C4—43no—
1170C4⋊C4—43no—
1171C4⋊C4—43no—
1172C4⋊C4—43no—
1173C4⋊C4—43no—
1174C4⋊C4—43no—
1175C4⋊C4—43no—
1176C4⋊C4—43no—
1177C4⋊C4—43no—
1178C4⋊C4—43no—
1179C4⋊C4—43no—
1180C4⋊C4—43no—
1181C4⋊C4—43no—
1182C4⋊C4—43no—
1183C4⋊C4—43no—
1184C4⋊C4—43no—
1185C4⋊C4—43no—
1186C4⋊C4—43no—
1187C4⋊C4—43no—
1188C4⋊C4—43no—
1189C4⋊C4—43no—
1190C4⋊C4—43no—
1191C4⋊C4—43no—
1192C4⋊C4—43no—
1193C22⋊C4—26no—
1194C22⋊C4—26no—
1195C22⋊C4—26no—
1196C22⋊C4—26no—
1197C22⋊C4—26no—
1198C22⋊C4—26no—
1199C22⋊C4—26no—
1200C22⋊C4—26no—
1201C22⋊C4—26no—
1202C22⋊C4—43no—
1203C22⋊C4—43no—
1204C22⋊C4—43no—
1205C22⋊C4—43no—
1206C22⋊C4—43no—
1207C22⋊C4—43no—
1208C22⋊C4—43no—
1209C22⋊C4—43no—
1210C22⋊C4—43no—
1211C22⋊C4—43no—
1212C22⋊C4—43no—
1213C22⋊C4—43no—
1214C22⋊C4—43no—
1215C22⋊C4—43no—
1216C22⋊C4—43no—
1217C22⋊C4—43no—
1218C22⋊C4—43no—
1219C22⋊C4—43no—
1220C22⋊C4—43no—
1221C22⋊C4—43no—
1222C22⋊C4—43no—
1223C22⋊C4—43no—
1224C22⋊C4—43no—
1225C22⋊C4—43no—
1226C22⋊C4—43no—
1227C22⋊C4—43no—
1228C22⋊C4—43no—
1229C22⋊C4—43no—
1230C22⋊C4—43no—
1231C22⋊C4—43no—
1232C22⋊C4—43no—
1233C22⋊C4—43no—
1234C22⋊C4—43no—
1235C22⋊C4—43no—
1236C22⋊C4—43no—
1237C22⋊C4—43no—
1238C22⋊C4—43no—
1239C22⋊C4—43no—
1240C22⋊C4—43no—
1241C22⋊C4—43no—
1242C22⋊C4—43no—
1243C22⋊C4—43no—
1244C22⋊C4—43no—
1245C22⋊C4—43no—
1246C22⋊C4—43no—
1247C22⋊C4—43no—
1248C22⋊C4—43no—
1249C22⋊C4—43no—
1250C22⋊C4—43no—
1251C22⋊C4—43no—
1252C22⋊C4—43no—
1253C22⋊C4—43no—
1254C22⋊C4—43no—
1255C22⋊C4—43no—
1256C22⋊C4—43no—
1257C22⋊C4—43no—
1258C22⋊C4—43no—
1259C22⋊C4—43no—
1260C22⋊C4—43no—
1261C22⋊C4—43no—
1262C22⋊C4—43no—
1263C22⋊C4—43no—
1264C22⋊C4—43no—
1265C22⋊C4—43no—
1266C22⋊C4—43no—
1267C22⋊C4—43no—
1268C22⋊C4—43no—
1269C22⋊C4—43no—
1270C22⋊C4C2×#41112yes—
1271C42—43no—
1272C42—43no—
1273C42—43no—
1274C42—43no—
1275C42—43no—
1276C42—43no—
1277C42—43no—
1278C42—43no—
1279C42—43no—
1280C42—43no—
1281C42—43no—
1282C42—43no—
1283C42—43no—
1284C42—43no—
1285C23—23no—
1286C23—23no—
1287C23—23no—
1288C23—23no—
1289C23—23no—
1290C23—23no—
1291C23—23no—
1292C23—23no—
1293C23—23no—
1294C23—23no—
1295C23—23no—
1296C23—23no—
1297C23—23no—
1298C23—23no—
1299C23—23no—
1300C23—23no—
1301C23—23no—
1302C23—23no—
1303C23—23no—
1304C23—23no—
1305C23—23no—
1306C23—23no—
1307C23—23no—
1308C23—23no—
1309C23—23no—
1310C23—23no—
1311C23—23no—
1312C23—23no—
1313C23—23no—
1314C23—412no—
1315C23—412no—
1316C23—86no—
1317C23—86no—
1318C23—86no—
1319C23—86no—
1320C23—86no—
1321C23—82no—
1322C23—86no—
1323C23—86no—
1324C23—86no—
1325C23—163no—
1326C23—163no—
1327C23—163no—
1328C23—163no—
1329C23—163no—
1330C23—163no—
1331C23C22×#4112yes—
1332C23C22×#4116yes—
1333C23C2611yescharacteristic
1334Q8—163no—
1335Q8—163no—
1336Q8—161no—
1337D4—412no—
1338D4—412no—
1339D4—86no—
1340D4—86no—
1341D4—86no—
1342D4—86no—
1343D4—86no—
1344D4—86no—
1345D4—86no—
1346D4—86no—
1347D4—86no—
1348D4—86no—
1349D4—86no—
1350D4—86no—
1351D4—86no—
1352D4—86no—
1353D4—86no—
1354D4—163no—
1355D4—163no—
1356C2×C4—23no—
1357C2×C4—23no—
1358C2×C4—23no—
1359C2×C4—23no—
1360C2×C4—23no—
1361C2×C4—23no—
1362C2×C4—23no—
1363C2×C4—23no—
1364C2×C4—23no—
1365C2×C4—23no—
1366C2×C4—23no—
1367C2×C4—23no—
1368C2×C4—23no—
1369C2×C4—23no—
1370C2×C4—23no—
1371C2×C4—23no—
1372C2×C4—23no—
1373C2×C4—23no—
1374C2×C4—23no—
1375C2×C4—23no—
1376C2×C4—23no—
1377C2×C4—23no—
1378C2×C4—23no—
1379C2×C4—23no—
1380C2×C4—23no—
1381C2×C4—23no—
1382C2×C4—23no—
1383C2×C4—23no—
1384C2×C4—23no—
1385C2×C4—23no—
1386C2×C4—23no—
1387C2×C4—23no—
1388C2×C4—23no—
1389C2×C4—23no—
1390C2×C4—23no—
1391C2×C4—23no—
1392C2×C4—23no—
1393C2×C4—23no—
1394C2×C4—23no—
1395C2×C4—23no—
1396C2×C4—23no—
1397C2×C4—23no—
1398C2×C4—23no—
1399C2×C4—23no—
1400C2×C4—23no—
1401C2×C4—23no—
1402C2×C4—23no—
1403C2×C4—23no—
1404C2×C4—23no—
1405C2×C4—412no—
1406C2×C4—86no—
1407C2×C4—86no—
1408C2×C4—86no—
1409C2×C4—86no—
1410C2×C4—86no—
1411C2×C4—86no—
1412C2×C4—161no—
1413C2×C4—163no—
1414C2×C4—163no—
1415C2×C4—163no—
1416C2×C4—163no—
1417C2×C4C22×#4116yes—
1418C22—26no—
1419C22—26no—
1420C22—26no—
1421C22—26no—
1422C22—43no—
1423C22—43no—
1424C22—43no—
1425C22—43no—
1426C22—41no—
1427C22—43no—
1428C22—43no—
1429C22—43no—
1430C22—43no—
1431C22—43no—
1432C22—43no—
1433C22—43no—
1434C22—43no—
1435C22—43no—
1436C22—43no—
1437C22—43no—
1438C22—43no—
1439C22—43no—
1440C22—43no—
1441C22—43no—
1442C22—43no—
1443C22—43no—
1444C22—43no—
1445C22—43no—
1446C22—43no—
1447C22—43no—
1448C22—43no—
1449C22—88no—
1450C22—1612no—
1451C22—1612no—
1452C22C23×#4111yescharacteristic
1453C22H(7,𝔽2)13yes—
1454C22H(7,𝔽2)13yes—
1455C4—26no—
1456C4—43no—
1457C4—43no—
1458C4—43no—
1459C4—43no—
1460C4—43no—
1461C4—43no—
1462C4—41no—
1463C4—43no—
1464C4—43no—
1465C4—43no—
1466C4—41no—
1467C4—43no—
1468C4—43no—
1469C4—43no—
1470C4—43no—
1471C4—43no—
1472C4—43no—
1473C2—46no—
1474C2—42no—
1475C2—83no—
1476C2—83no—
1477C2—83no—
1478C2#6284613yes—
1479C2#6297311yescharacteristic
1480C2#6297313yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #50164C2semidirect
2. #49851C2semidirect
3. #49474C2semidirect
4. #49258C2semidirect
5. #49245C2semidirect
6. #48685C2semidirect
7. #48373C2semidirect
8. #48361C2semidirect
9. #47563C2semidirect
10. #46447C2semidirect
11. #46432C2semidirect
12. #46350C2semidirect
13. #42619C2semidirect
14. #42272C2semidirect
15. #41883C2semidirect
16. #41836C2semidirect
17. #41827C2semidirect
18. #40797C2semidirect
19. #40740C2semidirect
20. #40728C2semidirect
21. #37528C2semidirect
22. #37483C2semidirect
23. #34407C2semidirect
25. #2840C22semidirect
26. #2838C22semidirect
27. #2835C22semidirect
28. #2828C22semidirect
29. #2826C22semidirect
31. #2825C22semidirect
32. #2825C22semidirect
33. #2824C22semidirect
34. #2812C22semidirect
35. #2804C22semidirect
36. #2800C22semidirect
37. #2800C22semidirect
38. #2798C22semidirect
39. #2797C22semidirect
40. #2797C22semidirect
41. #2796C22semidirect
42. #2788C22semidirect
43. #2786C22semidirect
44. #2779C22semidirect
45. #2778C22semidirect
46. #2762C22semidirect
47. #2757C22semidirect
48. #2756C22semidirect
49. #2752C22semidirect
50. #2750C22semidirect
51. #2747C22semidirect
52. #2741C22semidirect
53. #2741C22semidirect
54. #2739C22semidirect
55. #2738C22semidirect
56. #2736C22semidirect
57. #2735C22semidirect
58. #2735C22semidirect
59. #2733C22semidirect
60. #2731C22semidirect
61. #2730C22semidirect
62. #2730C22semidirect
63. #2730C22semidirect
64. #2730C22semidirect
65. #2729C22semidirect
66. #2714C22semidirect
67. #2714C22semidirect
68. #2711C22semidirect
69. #2708C22semidirect
70. #2708C22semidirect
71. #2706C22semidirect
72. #2706C22semidirect
73. #2703C22semidirect
74. #2703C22semidirect
75. #2703C22semidirect
76. #2703C22semidirect
77. #2699C22semidirect
78. #2697C22semidirect
79. #2697C22semidirect
80. #2693C22semidirect
81. #2692C22semidirect
82. #2690C22semidirect
83. #2689C22semidirect
84. #2688C22semidirect
85. #2685C22semidirect
86. #2685C22semidirect
87. #2684C22semidirect
88. #2681C22semidirect
89. #2678C22semidirect
90. #2675C22semidirect
91. #2674C22semidirect
93. #2670C22semidirect
94. #2670C22semidirect
95. #2670C22semidirect
96. #2670C22semidirect
99. #2664C22semidirect
100. #2661C22semidirect
101. #2654C22semidirect
102. #2653C22semidirect
103. #2653C22semidirect
104. #2653C22semidirect
105. #2653C22semidirect
106. #2648C22semidirect
107. #2648C22semidirect
108. #2648C22semidirect
109. #2643C22semidirect
110. #2643C22semidirect
111. #2639C22semidirect
112. #2639C22semidirect
113. #2638C22semidirect
114. #2635C22semidirect
115. #2631C22semidirect
116. #2631C22semidirect
117. #2624C22semidirect
118. #2622C22semidirect
119. #2622C22semidirect
120. #2622C22semidirect
121. #2617C22semidirect
122. #2617C22semidirect
123. #2610C22semidirect
124. #2610C22semidirect
125. #2610C22semidirect
126. #2610C22semidirect
127. #2602C22semidirect
128. #2601C22semidirect
129. #2597C22semidirect
130. #2597C22semidirect
131. #2596C22semidirect
132. #2595C22semidirect
133. #2593C22semidirect
134. #2589C22semidirect
135. #2578C22semidirect
136. #2577C22semidirect
137. #2561C22semidirect
138. #2560C22semidirect
139. #2559C22semidirect
140. #2558C22semidirect
141. #2557C22semidirect
142. #2557C22semidirect
143. #2555C22semidirect
144. #2547C22semidirect
145. #2540C22semidirect
147. #2532C22semidirect
148. #2530C22semidirect
149. #2528C22semidirect
150. #2526C22semidirect
151. #2523C22semidirect
152. #2521C22semidirect
153. #2516C22semidirect
154. #2513C22semidirect
155. #2510C22semidirect
156. #2510C22semidirect
157. #2510C22semidirect
158. #2494C22semidirect
159. #2492C22semidirect
160. #2491C22semidirect
161. #2490C22semidirect
162. #2485C22semidirect
163. #2480C22semidirect
164. #2479C22semidirect
165. #2477C22semidirect
166. #2477C22semidirect
167. #2475C22semidirect
168. #2474C22semidirect
169. #2474C22semidirect
170. #2472C22semidirect
171. #2472C22semidirect
172. #2472C22semidirect
173. #2472C22semidirect
174. #2471C22semidirect
175. #2467C22semidirect
176. #2467C22semidirect
177. #2464C22semidirect
178. #2464C22semidirect
179. #2464C22semidirect
180. #2463C22semidirect
181. #2460C22semidirect
182. #2459C22semidirect
183. #2459C22semidirect
184. #2459C22semidirect
185. #2459C22semidirect
186. #2452C22semidirect
187. #2450C22semidirect
188. #2447C22semidirect
189. #2444C22semidirect
190. #2444C22semidirect
191. #2437C22semidirect
192. #2435C22semidirect
193. #2427C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2424C22semidirect
197. #2424C22semidirect
198. #2418C22semidirect
199. #2418C22semidirect
200. #2414C22semidirect
201. #2410C22semidirect
202. #2410C22semidirect
203. #2410C22semidirect
205. #2408C22semidirect
206. #2408C22semidirect
207. #2405C22semidirect
208. #2403C22semidirect
209. #2403C22semidirect
210. #2403C22semidirect
211. #2401C22semidirect
212. #2401C22semidirect
213. #2392C22semidirect
214. C2×#392C22semidirect
215. #2377C22semidirect
216. #2377C22semidirect
217. #2376C22semidirect
218. #2375C22semidirect
219. #2374C22semidirect
220. #2363C22semidirect
221. #2363C22semidirect
222. #2359C22semidirect
223. #2359C22semidirect
224. #2359C22semidirect
225. #2359C22semidirect
226. #2358C22semidirect
227. #2342C22semidirect
228. #2342C22semidirect
229. D4×C22⋊C4C22semidirect
230. D4×C22⋊C4C22semidirect
231. #2335C22semidirect
232. #2335C22semidirect
233. #2333C22semidirect
234. #2333C22semidirect
235. #2324C22semidirect
236. #2324C22semidirect
238. #2321C22semidirect
239. #2321C22semidirect
240. #2321C22semidirect
241. #2309C22semidirect
243. C4×#120C22semidirect
244. C2×#386C22semidirect

Maximal subgroups

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

subgroupindex
#501642
#498512
#494742
#492582
#492452
#486852
#483732
#483612
#475632
#464472
#464322
#463502
#426192
#422722
#418832
#418362
#418272
#407972
#407402
#407282
#375282
#374832
#344072