Finite Group Databasebeta

← #8097266

Subgroups — #8097266

Order 512.

6108 conjugacy classes of subgroups.

The subgroup lattice has 1521 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53102C213yesmaximal, complemented
2#53096C213yesmaximal, complemented
3#53063C213yesmaximal, complemented
4#53059C213yesmaximal, complemented
5#53059C213yesmaximal, complemented
6#52971C213yesmaximal, complemented
7#52293C213yesmaximal, complemented
8#46339C213yesmaximal, complemented
9#46010C213yesmaximal, complemented
10#45992C213yesmaximal, complemented
11#45604C213yesmaximal, complemented
12#45600C213yesmaximal, complemented
13#45599C213yesmaximal, complemented
14#45593C213yesmaximal, complemented
15#45483C213yesmaximal, complemented
16#45478C213yesmaximal, complemented
17#36592C211yesmaximal, characteristic, complemented
18#36458C211yesmaximal, characteristic, complemented
19#36455C211yesmaximal, characteristic, complemented
20#36448C211yesmaximal, characteristic, complemented
21#36433C211yesmaximal, characteristic, complemented
22#36430C211yesmaximal, characteristic, complemented
23#36429C211yesmaximal, characteristic, complemented
24#36429C211yesmaximal, characteristic, complemented
25#36429C211yesmaximal, characteristic, complemented
26#36076C211yesmaximal, characteristic, complemented
27#36029C211yesmaximal, characteristic, complemented
28#36029C211yesmaximal, characteristic, complemented
29#36005C211yesmaximal, characteristic, complemented
30#35831C211yesmaximal, characteristic, complemented
31#35831C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C2×#560C2216yes—
34C2×#550C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic, complemented
41C2×#550C2211yescharacteristic, complemented
42C2×#550C2211yescharacteristic, complemented
43C2×#548C2211yescharacteristic
44C2×#548C2211yescharacteristic
45C2×#548C2211yescharacteristic
46C2×#520C2211yescharacteristic, complemented
47C2×#520C2211yescharacteristic, complemented
48C2×C4×#41C2211yescharacteristic, complemented
49#2867C2213yescomplemented
50#2863C2213yescomplemented
51#2860C2213yescomplemented
52#2856C2213yescomplemented
53#2854C2213yescomplemented
54#2850C2213yescomplemented
55#2847C2213yes—
56#2847C2213yes—
57#2847C2213yes—
58#2829C2216yescomplemented
59#2828C2216yescomplemented
60#2826C2216yescomplemented
61#2825C2216yescomplemented
62#2825C2216yescomplemented
63#2825C2216yescomplemented
64#2818C2216yescomplemented
65#2818C2216yescomplemented
66#2813C2216yescomplemented
67#2813C2216yescomplemented
68#2812C2216yes—
69#2797C2213yes—
70#2797C2213yescomplemented
71#2790C2211yescharacteristic
72#2790C2213yescomplemented
73#2778C2216yescomplemented
74#2757C2213yescomplemented
75#2757C2213yescomplemented
76#2756C2216yescomplemented
77#2749C2213yes—
78#2749C2216yescomplemented
79#2749C2213yescomplemented
80#2748C2213yescomplemented
81#2709C2216yescomplemented
82#2709C2213yescomplemented
83#2709C2216yescomplemented
84#2705C2216yescomplemented
85#2703C2216yescomplemented
86#2697C2213yes—
87#2693C2216yescomplemented
88#2691C2213yes—
89#2691C2216yescomplemented
90#2691C2213yescomplemented
91#2688C2216yes—
92#2688C2216yescomplemented
93#2688C2216yescomplemented
94#2685C2213yes—
95#2685C2213yes—
96#2678C2216yes—
97#2673C2216yescomplemented
98#2673C2216yescomplemented
99#2673C2216yescomplemented
100#2673C2216yescomplemented
101#2673C2216yescomplemented
102#2669C2216yes—
103#2669C2216yes—
104#2669C2213yes—
105#2668C2216yes—
106#2624C2213yescomplemented
107#2624C2213yescomplemented
108#2620C2213yescomplemented
109#2620C2213yescomplemented
110#2619C2213yescomplemented
111#2619C2213yescomplemented
112#2544C2213yescomplemented
113#2544C2213yescomplemented
114#2544C2213yescomplemented
115#2541C2213yescomplemented
116#2541C2213yescomplemented
117#2541C2213yescomplemented
118#2541C2213yescomplemented
119#2541C2213yescomplemented
120#2541C2213yescomplemented
121#2541C2213yescomplemented
122#2541C2213yescomplemented
123#2541C2213yescomplemented
124#2537C2213yes—
125#2537C2213yes—
126#2537C2213yescomplemented
127#2535C2213yes—
128#2535C2213yescomplemented
129#2535C2213yescomplemented
130#2514C2213yescomplemented
131#2514C2213yescomplemented
132#2513C2213yescomplemented
133#2512C2213yescomplemented
134#2512C2213yescomplemented
135#2511C2213yescomplemented
136#2504C2213yescomplemented
137#2501C2213yescomplemented
138#2500C2213yescomplemented
139#2497C2213yescomplemented
140#2496C2213yes—
141#2496C2213yescomplemented
142#2495C2213yes—
143#2495C2213yescomplemented
144#2494C2213yes—
145#2487C2213yescomplemented
146#2486C2213yescomplemented
147#2485C2213yescomplemented
148#2445C2213yescomplemented
149#2445C2213yescomplemented
150#2445C2213yescomplemented
151#2445C2213yescomplemented
152#2445C2213yescomplemented
153#2445C2213yescomplemented
154#2433C2213yes—
155#2433C2213yes—
156#2433C2213yes—
157#2431C2213yes—
158#2431C2213yes—
159#2431C2213yes—
160#2431C2213yes—
161#2431C2213yes—
162#2431C2213yes—
163#2428C2213yes—
164#2428C2213yes—
165#2428C2213yes—
166#2428C2213yescomplemented
167#2428C2213yescomplemented
168#2428C2213yescomplemented
169#2428C2213yescomplemented
170#2428C2213yescomplemented
171#2428C2213yescomplemented
172#2427C2213yescomplemented
173#2427C2213yescomplemented
174#2427C2213yescomplemented
175#2422C2213yescomplemented
176#2422C2213yescomplemented
177#2422C2213yescomplemented
178#2420C2213yescomplemented
179#2420C2213yescomplemented
180#2420C2213yescomplemented
181#2417C2213yescomplemented
182#2417C2213yescomplemented
183#2416C2213yes—
184#2416C2213yes—
185#2416C2213yescomplemented
186#2416C2213yescomplemented
187#2416C2213yescomplemented
188#2416C2213yescomplemented
189#2415C2213yescomplemented
190#2414C2213yes—
191#2414C2213yescomplemented
192#2414C2213yescomplemented
193#2408C2213yes—
194#2408C2213yes—
195#2408C2213yes—
196#2407C2213yes—
197#2407C2213yes—
198#2407C2213yes—
199#2407C2213yes—
200#2407C2213yes—
201#2407C2213yes—
202#2395C2213yescomplemented
203#2395C2213yescomplemented
204#2392C2213yes—
205#2392C2213yes—
206#2392C2213yescomplemented
207#2392C2213yescomplemented
208#2380C2216yescomplemented
209#2377C2216yescomplemented
210#2351C2211yescharacteristic, complemented
211#2351C2211yescharacteristic, complemented
212#2351C2211yescharacteristic, complemented
213Q8×C4⋊C4C2211yescharacteristic, complemented
214Q8×C4⋊C4C2211yescharacteristic, complemented
215Q8×C4⋊C4C2211yescharacteristic, complemented
216#2341C2211yescharacteristic
217#2341C2211yescharacteristic
218#2341C2211yescharacteristic
219#2341C2211yescharacteristic
220#2341C2211yescharacteristic
221#2341C2211yescharacteristic
222#2341C2211yescharacteristic, complemented
223#2341C2211yescharacteristic, complemented
224#2341C2211yescharacteristic, complemented
225Q8×C22⋊C4C2211yescharacteristic
226Q8×C22⋊C4C2211yescharacteristic
227Q8×C22⋊C4C2211yescharacteristic
228C4×#127C2213yescomplemented
229C4×#126C2213yes—
230C4×#126C2213yescomplemented
231C4×#123C2213yescomplemented
232C4×#121C2213yes—
233C4×#121C2213yescomplemented
234C4×#120C2213yes—
235C4×#120C2213yes—
236C4×#120C2213yes—
237C42×Q8C2211yescharacteristic, complemented
238C22×#41—44no—
239C22×#41—44no—
240C22×#41—44no—
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C22×#41C2311yescharacteristic
244C22×#41C2311yescharacteristic
245C22×#41C2311yescharacteristic
246C22×#41C2313yes—
247C22×#41C2313yes—
248C23×Q8C2311yescharacteristic
249C23×D4C2313yes—
250C24×C4C2313yes—
251#560—424no—
252#550—44no—
253#550—44no—
254#550—44no—
255#550—44no—
256#550—44no—
257#550—44no—
258#550—44no—
259#550—44no—
260#550—44no—
261#548—44no—
262#548—44no—
263#548—44no—
264C2×#127C2313yes—
265C2×#127C2316yes—
266C2×#127C2316yes—
267C2×#127C2313yes—
268C2×#127C2313yes—
269C2×#127C2313yes—
270C2×#127C2313yes—
271C2×#127C2313yes—
272C2×#127C2313yes—
273C2×#127C2313yes—
274C2×#127C2313yes—
275C2×#127C2313yes—
276C2×#127C2316yes—
277C2×#126C2313yes—
278C2×#126C2313yes—
279C2×#126C2316yes—
280C2×#124C2313yes—
281C2×#124C2313yes—
282C2×#124C2313yes—
283C2×#123C2316yes—
284C2×#123C2313yes—
285C2×#123C2316yes—
286C2×#123C2316yes—
287C2×#123C2316yes—
288C2×C22⋊Q8C2313yes—
289C2×C22⋊Q8C2313yes—
290C2×C22⋊Q8C2313yes—
291C2×#121C2313yes—
292C2×#121C2313yes—
293C2×#121C2313yes—
294C2×#121C2313yes—
295C2×#121C2313yes—
296C2×#121C2313yes—
297C2×#121C2313yes—
298C2×#121C2313yes—
299C2×#121C2313yes—
300C2×#121C2313yes—
301C2×#121C2313yes—
302C2×#121C2313yes—
303C2×#121C2313yes—
304C2×#121C2313yes—
305C2×#121C2316yes—
306C2×#121C2313yes—
307C2×#121C2313yes—
308C2×#121C2313yes—
309C2×#121C2313yes—
310C2×#121C2313yes—
311C2×#121C2313yes—
312C2×#121C2313yes—
313C2×#121C2313yes—
314C2×#121C2316yes—
315C2×#121C2316yes—
316C2×#121C2316yes—
317C2×#121C2313yes—
318C2×#121C2316yes—
319C2×#121C2316yes—
320C2×#121C2316yes—
321C2×#121C2316yes—
322C2×#120C2313yes—
323C2×#120C2316yes—
324C2×#120C2316yes—
325C2×#120C2313yes—
326C2×#120C2313yes—
327C2×#120C2316yes—
328#520—44no—
329#520—44no—
330C4×#41—44no—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×D4C2313yes—
341C2×C4×D4C2313yes—
342C2×C4×D4C2313yes—
343C2×C4×D4C2313yes—
344C2×C4×D4C2313yes—
345C2×C4×D4C2313yes—
346C2×C4×D4C2313yes—
347C2×C4×D4C2313yes—
348C2×C4×D4C2313yes—
349C2×C4×D4C2313yes—
350C2×C4×D4C2313yes—
351C2×C4×D4C2313yes—
352C2×C4×D4C2313yes—
353C2×C4×D4C2313yes—
354C2×C4×D4C2313yes—
355C2×C4×D4C2313yes—
356C2×C4×D4C2313yes—
357C2×C4×D4C2313yes—
358C2×#117C2313yes—
359C2×#117C2313yes—
360C2×#117C2313yes—
361C22×C4⋊C4C2313yes—
362C22×C4⋊C4C2313yes—
363C22×C42C2313yes—
364#401C2316yes—
365#400C2316yes—
366#400C2316yes—
367#400C2311yescharacteristic
368#400C2313yes—
369#400C2316yes—
370#399C2316yes—
371#399C2313yes—
372#399C2313yes—
373#398C2313yes—
374#398C2313yes—
375#398C2311yescharacteristic
376#398C2311yescharacteristic
377#398C2311yescharacteristic
378#398C2313yes—
379#397C2313yes—
380#397C2313yes—
381#397C2313yes—
382#397C2313yes—
383#397C2313yes—
384#397C2316yes—
385#397C2316yes—
386#397C2316yes—
387#397C2316yes—
388#397C2313yes—
389#397C2313yes—
390#397C2316yes—
391#397C2313yes—
392#397C2313yes—
393#397C2313yes—
394#397C2316yes—
395#396C2313yes—
396#396C2316yes—
397#396C2316yes—
398#396C2313yes—
399#396C2316yes—
400#396C2313yes—
401#396C2313yes—
402#396C2311yescharacteristic
403#396C2311yescharacteristic
404#396C2313yes—
405#396C2313yes—
406#394C2313yes—
407#394C2313yes—
408#394C2313yes—
409#394C2316yes—
410#394C2316yes—
411#394C2316yes—
412#394C2316yes—
413#394C2316yes—
414#394C2316yes—
415#394C2316yes—
416#394C2316yes—
417#394C2316yes—
418#394C2313yes—
419#394C2316yes—
420#394C2316yes—
421#394C2316yes—
422#394C2316yes—
423#394C2316yes—
424#394C2316yes—
425#394C2313yes—
426#394C2316yes—
427#394C2316yes—
428#394C2316yes—
429#394C2316yes—
430#394C2316yes—
431#394C2313yes—
432#394C2313yes—
433#394C2313yes—
434#394C2313yes—
435#394C2313yes—
436#394C2313yes—
437#394C2313yes—
438#394C2313yes—
439#394C2313yes—
440#394C2313yes—
441#394C2313yes—
442#392C2313yes—
443#392C2316yes—
444#392C2316yes—
445#392C2316yes—
446#392C2316yes—
447#392C2316yes—
448#392C2316yes—
449#392C2316yes—
450#392C2316yes—
451#392C2316yes—
452#392C2316yes—
453#392C2316yes—
454#392C2316yes—
455#392C2316yes—
456#392C2316yes—
457#392C2316yes—
458#392C2316yes—
459#392C2316yes—
460#392C2316yes—
461#392C2313yes—
462#392C2313yes—
463#392C2313yes—
464#392C2316yes—
465#392C2316yes—
466#391C2313yes—
467#391C2313yes—
468#391C2313yes—
469#391C2313yes—
470#391C2313yes—
471#391C2313yes—
472#390C2313yes—
473#390C2313yes—
474#390C2313yes—
475#390C2313yes—
476#390C2313yes—
477#390C2313yes—
478#390C2316yes—
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#389C2313yes—
500#389C2313yes—
501#389C2313yes—
502#389C2313yes—
503#389C2313yes—
504#389C2313yes—
505#389C2313yes—
506#389C2313yes—
507#389C2313yes—
508#389C2313yes—
509#389C2313yes—
510#389C2313yes—
511#389C2313yes—
512#389C2311yescharacteristic
513#388C2311yescharacteristic
514#388C2313yes—
515#388C2313yes—
516#388C2313yes—
517#388C2313yes—
518#388C2313yes—
519#388C2313yes—
520#388C2316yes—
521#388C2316yes—
522#388C2313yes—
523#388C2313yes—
524#388C2316yes—
525#388C2316yes—
526#388C2313yes—
527#388C2313yes—
528#388C2311yescharacteristic
529#387C2313yes—
530#387C2313yes—
531#387C2313yes—
532#387C2311yescharacteristic
533#387C2313yes—
534#387C2313yes—
535#387C2316yes—
536#387C2316yes—
537#387C2313yes—
538#387C2311yescharacteristic
539#386C2313yes—
540#386C2313yes—
541#386C2316yes—
542#386C2316yes—
543#386C2316yes—
544#386C2316yes—
545#386C2316yes—
546#386C2316yes—
547#386C2316yes—
548#386C2316yes—
549#386C2316yes—
550#386C2313yes—
551#386C2313yes—
552#386C2313yes—
553#386C2316yes—
554#386C2316yes—
555#386C2316yes—
556#386C2316yes—
557#386C2316yes—
558#386C2313yes—
559#386C2313yes—
560#386C2316yes—
561#386C2316yes—
562#386C2316yes—
563#386C2316yes—
564#386C2316yes—
565#386C2316yes—
566#386C2313yes—
567#386C2313yes—
568#386C2313yes—
569#386C2313yes—
570#386C2313yes—
571#386C2313yes—
572#386C2313yes—
573#385C2313yes—
574#385C2313yes—
575#385C2316yes—
576#385C2313yes—
577#385C2313yes—
578#385C2313yes—
579#385C2313yes—
580#385C2313yes—
581#385C2311yescharacteristic
582#385C2311yescharacteristic
583#385C2311yescharacteristic
584#384C2311yescharacteristic
585#384C2313yes—
586#384C2313yes—
587#384C2313yes—
588#383C2313yes—
589#383C2313yes—
590#383C2316yes—
591#382C2313yes—
592#382C2313yes—
593#382C2313yes—
594#381C2316yes—
595#381C2313yes—
596#380C2313yes—
597#380C2313yes—
598#380C2313yes—
599#380C2313yes—
600#380C2313yes—
601#380C2313yes—
602#380C2313yes—
603#380C2313yes—
604#380C2313yes—
605#380C2313yes—
606#380C2313yes—
607#380C2313yes—
608#380C2316yes—
609#380C2316yes—
610#380C2313yes—
611#380C2313yes—
612#379C2313yes—
613#379C2313yes—
614#379C2313yes—
615C4×C4⋊C4C2313yes—
616C4×C4⋊C4C2313yes—
617C4×C4⋊C4C2313yes—
618C4×C4⋊C4C2313yes—
619C4×C4⋊C4C2313yes—
620C4×C4⋊C4C2313yes—
621C4×C4⋊C4C2313yes—
622C4×C4⋊C4C2313yes—
623C4×C4⋊C4C2313yes—
624C4×C22⋊C4C2313yes—
625C4×C22⋊C4C2313yes—
626C4×C22⋊C4C2313yes—
627C4×C22⋊C4C2313yes—
628C4×C22⋊C4C2313yes—
629C4×C22⋊C4C2313yes—
630C4×C22⋊C4C2313yes—
631C4×C22⋊C4C2313yes—
632C4×C22⋊C4C2313yes—
633C4×C22⋊C4C2313yes—
634C4×C22⋊C4C2313yes—
635C4×C22⋊C4C2313yes—
636C43C2313yes—
637C25C2413yes—
638C2×#41—24no—
639C2×#41—24no—
640C2×#41—24no—
641C2×#41—24no—
642C2×#41—24no—
643C2×#41—24no—
644C2×#41—24no—
645C2×#41—24no—
646C2×#41—24no—
647C2×#41—24no—
648C2×#41—24no—
649C2×#41—24no—
650C2×#41—24no—
651C2×#41—24no—
652C2×#41—24no—
653C2×#41—46no—
654C2×#41—46no—
655C2×#41—46no—
656C2×#41—46no—
657C2×#41—46no—
658C2×#41—46no—
659C2×#41—464no—
660C22×Q8—24no—
661C22×Q8—24no—
662C22×Q8—24no—
663C22×Q8C2413yes—
664C22×Q8C2411yescharacteristic
665C22×D4—46no—
666C22×D4—46no—
667C22×D4—46no—
668C22×D4C2413yes—
669C22×D4C2413yes—
670C22×D4C2413yes—
671C22×D4C2413yes—
672C22×D4C2413yes—
673C22×D4C2413yes—
674C22×D4C2413yes—
675C22×D4C2413yes—
676C22×D4C2413yes—
677C22×D4C2413yes—
678C22×D4C2413yes—
679C22×D4C2413yes—
680C22×D4C2413yes—
681C22×D4C2413yes—
682C22×D4C2413yes—
683C22×D4C2413yes—
684C22×D4C2413yes—
685C22×D4C2416yes—
686C22×D4C2416yes—
687C22×D4C2416yes—
688C22×D4C2416yes—
689C22×D4C2416yes—
690C22×D4C2416yes—
691C22×D4C2416yes—
692C22×D4C2416yes—
693C22×D4C2416yes—
694C22×D4C2416yes—
695C23×C4—46no—
696C23×C4—46no—
697C23×C4—46no—
698C23×C4C2413yes—
699C23×C4C2413yes—
700C23×C4C2413yes—
701C23×C4C2413yes—
702C23×C4C2413yes—
703C23×C4C2413yes—
704C23×C4C2413yes—
705C23×C4C2416yes—
706C23×C4C2416yes—
707C23×C4C2413yes—
708C23×C4C2411yescharacteristic
709C23×C4C2413yes—
710C23×C4C2413yes—
711#127—412no—
712#127—46no—
713#127—46no—
714#127—46no—
715#127—46no—
716#127—46no—
717#127—46no—
718#127—46no—
719#127—46no—
720#127—46no—
721#127—46no—
722#127—412no—
723#127—86no—
724#126—212no—
725#126—46no—
726#126—412no—
727#124—46no—
728#124—46no—
729#124—46no—
730#123—412no—
731#123—412no—
732#123—46no—
733#123—412no—
734#123—86no—
735C22⋊Q8—46no—
736C22⋊Q8—46no—
737C22⋊Q8—46no—
738#121—212no—
739#121—412no—
740#121—46no—
741#121—412no—
742#121—412no—
743#121—412no—
744#121—412no—
745#121—46no—
746#121—46no—
747#121—46no—
748#121—46no—
749#121—46no—
750#121—46no—
751#121—46no—
752#121—46no—
753#121—46no—
754#121—46no—
755#121—46no—
756#121—46no—
757#121—46no—
758#121—46no—
759#121—46no—
760#121—46no—
761#121—46no—
762#121—46no—
763#121—46no—
764#121—46no—
765#121—46no—
766#121—412no—
767#121—86no—
768#121—86no—
769#120—212no—
770#120—46no—
771#120—46no—
772#120—412no—
773#120—412no—
774#120—86no—
775C4×Q8—24no—
776C4×Q8—24no—
777C4×Q8—24no—
778C4×Q8—24no—
779C4×Q8—24no—
780C4×Q8—24no—
781C4×Q8—24no—
782C4×Q8—24no—
783C4×Q8—24no—
784C4×D4—46no—
785C4×D4—46no—
786C4×D4—46no—
787C4×D4—46no—
788C4×D4—46no—
789C4×D4—46no—
790C4×D4—46no—
791C4×D4—46no—
792C4×D4—46no—
793C4×D4—46no—
794C4×D4—46no—
795C4×D4—46no—
796C4×D4—46no—
797C4×D4—46no—
798C4×D4—46no—
799C4×D4—46no—
800C4×D4—46no—
801C4×D4—46no—
802#117—46no—
803#117—46no—
804#117—46no—
805C2×C4⋊C4—46no—
806C2×C4⋊C4—46no—
807C2×C4⋊C4C2413yes—
808C2×C4⋊C4C2413yes—
809C2×C4⋊C4C2413yes—
810C2×C4⋊C4C2413yes—
811C2×C4⋊C4C2413yes—
812C2×C4⋊C4C2413yes—
813C2×C4⋊C4C2413yes—
814C2×C4⋊C4C2413yes—
815C2×C4⋊C4C2413yes—
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2413yes—
818C2×C4⋊C4C2413yes—
819C2×C4⋊C4C2413yes—
820C2×C4⋊C4C2413yes—
821C2×C4⋊C4C2413yes—
822C2×C4⋊C4C2411yescharacteristic
823C2×C4⋊C4C2411yescharacteristic
824C2×C4⋊C4C2413yes—
825C2×C4⋊C4C2413yes—
826C2×C4⋊C4C2411yescharacteristic
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2413yes—
838C2×C4⋊C4C2413yes—
839C2×C4⋊C4C2413yes—
840C2×C4⋊C4C2413yes—
841C2×C4⋊C4C2416yes—
842C2×C4⋊C4C2416yes—
843C2×C4⋊C4C2416yes—
844C2×C4⋊C4C2413yes—
845C2×C4⋊C4C2413yes—
846C2×C4⋊C4C2413yes—
847C2×C22⋊C4C2411yescharacteristic
848C2×C22⋊C4C2411yescharacteristic
849C2×C22⋊C4C2413yes—
850C2×C22⋊C4C2413yes—
851C2×C22⋊C4C2413yes—
852C2×C22⋊C4C2413yes—
853C2×C22⋊C4C2413yes—
854C2×C22⋊C4C2413yes—
855C2×C22⋊C4C2413yes—
856C2×C22⋊C4C2413yes—
857C2×C22⋊C4C2413yes—
858C2×C22⋊C4C2416yes—
859C2×C22⋊C4C2413yes—
860C2×C22⋊C4C2413yes—
861C2×C22⋊C4C2411yescharacteristic
862C2×C22⋊C4C2411yescharacteristic
863C2×C22⋊C4C2411yescharacteristic
864C2×C22⋊C4C2413yes—
865C2×C22⋊C4C2413yes—
866C2×C22⋊C4C2413yes—
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⋊C4C2416yes—
887C2×C22⋊C4C2416yes—
888C2×C22⋊C4C2416yes—
889C2×C22⋊C4C2416yes—
890C2×C22⋊C4C2416yes—
891C2×C22⋊C4C2416yes—
892C2×C22⋊C4C2413yes—
893C2×C22⋊C4C2413yes—
894C2×C22⋊C4C2416yes—
895C2×C22⋊C4C2416yes—
896C2×C22⋊C4C2413yes—
897C2×C22⋊C4C2413yes—
898C2×C22⋊C4C2413yes—
899C2×C22⋊C4C2416yes—
900C2×C22⋊C4C2416yes—
901C2×C22⋊C4C2416yes—
902C2×C22⋊C4C2413yes—
903C2×C22⋊C4C2416yes—
904C2×C22⋊C4C2413yes—
905C2×C22⋊C4C2413yes—
906C2×C22⋊C4C2413yes—
907C2×C22⋊C4C2413yes—
908C2×C22⋊C4C2413yes—
909C2×C22⋊C4C2413yes—
910C2×C22⋊C4C2413yes—
911C2×C22⋊C4C2411yescharacteristic
912C2×C42—46no—
913C2×C42C2413yes—
914C2×C42C2413yes—
915C2×C42C2413yes—
916C2×C42C2413yes—
917C2×C42C2413yes—
918C2×C42C2413yes—
919C2×C42C2413yes—
920C2×C42C2413yes—
921C2×C42C2413yes—
922C2×C42C2413yes—
923C2×C42C2413yes—
924C2×C42C2411yescharacteristic
925C2×C42C2413yes—
926C2×C42C2413yes—
927C2×C42C2411yescharacteristic
928#95C2411yescharacteristic
929#95C2411yescharacteristic
930#95C2411yescharacteristic
931#95C2411yescharacteristic
932#95C2411yescharacteristic
933#95C2411yescharacteristic
934#95C2411yescharacteristic
935#95C2411yescharacteristic
936#95C2411yescharacteristic
937#95C2413yes—
938#95C2413yes—
939#95C2413yes—
940#95C2413yes—
941#95C2413yes—
942#95C2413yes—
943#95C2413yes—
944#95C2413yes—
945#95C2413yes—
946#95C2413yes—
947#95C2413yes—
948#95C2413yes—
949#95C2413yes—
950#95C2413yes—
951#95C2413yes—
952#95C2411yescharacteristic
953#95C2411yescharacteristic
954#95C2411yescharacteristic
955#95C2416yes—
956#95C2413yes—
957#95C2413yes—
958#95C2413yes—
959#95C2413yes—
960#95C2413yes—
961#95C2413yes—
962#95C2413yes—
963#95C2413yes—
964#95C2413yes—
965#95C2416yes—
966#95C2416yes—
967#95C2416yes—
968#95C2416yes—
969#95C2416yes—
970#95C2416yes—
971C24—26no—
972C24—43no—
973C24—43no—
974C24—43no—
975C24—43no—
976C24—43no—
977C24—43no—
978C24C2513yes—
979C24C2513yes—
980C24C2513yes—
981C24C2513yes—
982C24C2513yes—
983C24C2511yescharacteristic
984#41—448no—
985#41—448no—
986#41—416no—
987#41—416no—
988#41—416no—
989#41—416no—
990#41—416no—
991C2×Q8—26no—
992C2×Q8—26no—
993C2×Q8—26no—
994C2×Q8—416no—
995C2×Q8H(5,𝔽2)14yes—
996C2×Q8H(5,𝔽2)14yes—
997C2×Q8H(5,𝔽2)14yes—
998C2×D4—26no—
999C2×D4—26no—
1000C2×D4—26no—
1001C2×D4—26no—
1002C2×D4—26no—
1003C2×D4—26no—
1004C2×D4—26no—
1005C2×D4—26no—
1006C2×D4—26no—
1007C2×D4—26no—
1008C2×D4—26no—
1009C2×D4—26no—
1010C2×D4—26no—
1011C2×D4—26no—
1012C2×D4—26no—
1013C2×D4—26no—
1014C2×D4—26no—
1015C2×D4—26no—
1016C2×D4—26no—
1017C2×D4—26no—
1018C2×D4—26no—
1019C2×D4—26no—
1020C2×D4—26no—
1021C2×D4—26no—
1022C2×D4—26no—
1023C2×D4—46no—
1024C2×D4—46no—
1025C2×D4—46no—
1026C2×D4—43no—
1027C2×D4—43no—
1028C2×D4—43no—
1029C2×D4—43no—
1030C2×D4—43no—
1031C2×D4—43no—
1032C2×D4—43no—
1033C2×D4—43no—
1034C2×D4—43no—
1035C2×D4—43no—
1036C2×D4—43no—
1037C2×D4—43no—
1038C2×D4—43no—
1039C2×D4—43no—
1040C2×D4—43no—
1041C2×D4—43no—
1042C2×D4—43no—
1043C2×D4—43no—
1044C2×D4—43no—
1045C2×D4—43no—
1046C2×D4—43no—
1047C2×D4—43no—
1048C2×D4—43no—
1049C2×D4—43no—
1050C2×D4—43no—
1051C2×D4—43no—
1052C2×D4—46no—
1053C2×D4—46no—
1054C2×D4—46no—
1055C2×D4—46no—
1056C2×D4—46no—
1057C2×D4—46no—
1058C2×D4—46no—
1059C2×D4—46no—
1060C2×D4—46no—
1061C2×D4—46no—
1062C2×D4—46no—
1063C2×D4—46no—
1064C2×D4—46no—
1065C2×D4—46no—
1066C2×D4—46no—
1067C2×D4—46no—
1068C2×D4—46no—
1069C2×D4—46no—
1070C2×D4—46no—
1071C2×D4—46no—
1072C2×D4—46no—
1073C2×D4—46no—
1074C2×D4—46no—
1075C2×D4—46no—
1076C2×D4—46no—
1077C2×D4—46no—
1078C2×D4—46no—
1079C2×D4—448no—
1080C22×C4—26no—
1081C22×C4—26no—
1082C22×C4—26no—
1083C22×C4—26no—
1084C22×C4—26no—
1085C22×C4—26no—
1086C22×C4—26no—
1087C22×C4—26no—
1088C22×C4—26no—
1089C22×C4—26no—
1090C22×C4—26no—
1091C22×C4—26no—
1092C22×C4—26no—
1093C22×C4—26no—
1094C22×C4—26no—
1095C22×C4—26no—
1096C22×C4—26no—
1097C22×C4—26no—
1098C22×C4—26no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—43no—
1103C22×C4—43no—
1104C22×C4—43no—
1105C22×C4—43no—
1106C22×C4—43no—
1107C22×C4—43no—
1108C22×C4—43no—
1109C22×C4—43no—
1110C22×C4—43no—
1111C22×C4—43no—
1112C22×C4—43no—
1113C22×C4—46no—
1114C22×C4—46no—
1115C22×C4—46no—
1116C22×C4—46no—
1117C22×C4—46no—
1118C22×C4—46no—
1119C22×C4—448no—
1120C22×C4C2511yescharacteristic
1121C22×C4C2513yes—
1122C22×C4C2511yescharacteristic
1123C22×C4C2511yescharacteristic
1124C22×C4C2513yes—
1125C22×C4C2511yescharacteristic
1126C22×C4C2511yescharacteristic
1127C22×C4C2513yes—
1128C22×C4C2513yes—
1129C22×C4C2513yes—
1130C22×C4C2513yes—
1131C22×C4C2513yes—
1132C22×C4C2513yes—
1133C22×C4C2511yescharacteristic
1134C22×C4C2513yes—
1135C22×C4C2513yes—
1136C22×C4C2511yescharacteristic
1137C22×C4C2511yescharacteristic
1138C22×C4C2511yescharacteristic
1139C22×C4C2511yescharacteristic
1140C22×C4C2511yescharacteristic
1141C22×C4C2511yescharacteristic
1142C22×C4C2511yescharacteristic
1143C22×C4C2511yescharacteristic
1144C22×C4C2513yes—
1145C4⋊C4—26no—
1146C4⋊C4—26no—
1147C4⋊C4—26no—
1148C4⋊C4—26no—
1149C4⋊C4—26no—
1150C4⋊C4—26no—
1151C4⋊C4—26no—
1152C4⋊C4—26no—
1153C4⋊C4—26no—
1154C4⋊C4—26no—
1155C4⋊C4—26no—
1156C4⋊C4—26no—
1157C4⋊C4—26no—
1158C4⋊C4—22no—
1159C4⋊C4—26no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—43no—
1163C4⋊C4—43no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—43no—
1176C4⋊C4—43no—
1177C4⋊C4—43no—
1178C4⋊C4—46no—
1179C4⋊C4—46no—
1180C4⋊C4—43no—
1181C4⋊C4—46no—
1182C4⋊C4—43no—
1183C4⋊C4—43no—
1184C4⋊C4—43no—
1185C22⋊C4—26no—
1186C22⋊C4—26no—
1187C22⋊C4—26no—
1188C22⋊C4—26no—
1189C22⋊C4—26no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—26no—
1193C22⋊C4—26no—
1194C22⋊C4—43no—
1195C22⋊C4—43no—
1196C22⋊C4—43no—
1197C22⋊C4—43no—
1198C22⋊C4—46no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
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—46no—
1226C22⋊C4—46no—
1227C22⋊C4—46no—
1228C22⋊C4—46no—
1229C22⋊C4—43no—
1230C22⋊C4—46no—
1231C22⋊C4—46no—
1232C22⋊C4—46no—
1233C22⋊C4—43no—
1234C22⋊C4—46no—
1235C22⋊C4—46no—
1236C22⋊C4—46no—
1237C22⋊C4—46no—
1238C22⋊C4—46no—
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⋊C4H(5,𝔽2)14yes—
1250C42—26no—
1251C42—26no—
1252C42—26no—
1253C42—26no—
1254C42—26no—
1255C42—26no—
1256C42—26no—
1257C42—26no—
1258C42—26no—
1259C42—26no—
1260C42—26no—
1261C42—22no—
1262C42—41no—
1263C42—43no—
1264C42—43no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—23no—
1272C23—23no—
1273C23—23no—
1274C23—23no—
1275C23—23no—
1276C23—23no—
1277C23—23no—
1278C23—23no—
1279C23—23no—
1280C23—23no—
1281C23—23no—
1282C23—23no—
1283C23—23no—
1284C23—23no—
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—412no—
1307C23—86no—
1308C23—86no—
1309C23—86no—
1310C23—86no—
1311C23—86no—
1312C23—86no—
1313C23C2×H(5,𝔽2)12yes—
1314C23C2611yescharacteristic
1315Q8—412no—
1316Q8#560116yescomplemented
1317D4—424no—
1318D4—412no—
1319D4—412no—
1320D4—412no—
1321D4—412no—
1322D4—412no—
1323D4—86no—
1324D4—86no—
1325D4—86no—
1326D4—86no—
1327D4—86no—
1328D4—86no—
1329D4—86no—
1330D4—86no—
1331D4—86no—
1332D4—86no—
1333D4—86no—
1334D4—86no—
1335D4—166no—
1336D4—166no—
1337D4—166no—
1338D4—166no—
1339D4—166no—
1340D4—166no—
1341D4—166no—
1342D4—166no—
1343D4—166no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
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—21no—
1369C2×C4—23no—
1370C2×C4—23no—
1371C2×C4—23no—
1372C2×C4—23no—
1373C2×C4—23no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—23no—
1389C2×C4—23no—
1390C2×C4—23no—
1391C2×C4—23no—
1392C2×C4—23no—
1393C2×C4—23no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—23no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—23no—
1402C2×C4—21no—
1403C2×C4—23no—
1404C2×C4—23no—
1405C2×C4—23no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—23no—
1409C2×C4—23no—
1410C2×C4—21no—
1411C2×C4—23no—
1412C2×C4—44no—
1413C2×C4—412no—
1414C2×C4—412no—
1415C2×C4—412no—
1416C2×C4—412no—
1417C2×C4—412no—
1418C2×C4—412no—
1419C2×C4—412no—
1420C2×C4—412no—
1421C2×C4—86no—
1422C2×C4—86no—
1423C2×C4—166no—
1424C2×C4—166no—
1425C2×C4C2×H(5,𝔽2)12yes—
1426C2×C4C2×H(5,𝔽2)12yes—
1427C2×C4C2×H(5,𝔽2)16yes—
1428C2×C4C2×H(5,𝔽2)16yes—
1429C2×C4C2×H(5,𝔽2)16yes—
1430C2×C4#58512yes—
1431C2×C4#58512yes—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—43no—
1440C22—43no—
1441C22—43no—
1442C22—43no—
1443C22—43no—
1444C22—43no—
1445C22—43no—
1446C22—43no—
1447C22—43no—
1448C22—43no—
1449C22—43no—
1450C22—43no—
1451C22—43no—
1452C22—43no—
1453C22—43no—
1454C22—43no—
1455C22—43no—
1456C22—43no—
1457C22—43no—
1458C22—43no—
1459C22—43no—
1460C22—43no—
1461C22—43no—
1462C22—43no—
1463C22—43no—
1464C22—43no—
1465C22—43no—
1466C22—43no—
1467C22—43no—
1468C22—43no—
1469C22—43no—
1470C22—43no—
1471C22—43no—
1472C22—43no—
1473C22—43no—
1474C22—824no—
1475C22C22×H(5,𝔽2)11yescharacteristic
1476C22C22×H(5,𝔽2)11yescharacteristic
1477C22C22×H(5,𝔽2)11yescharacteristic
1478C22C22×H(5,𝔽2)11yescharacteristic
1479C22C2×#58511yescharacteristic
1480C22C2×#58511yescharacteristic
1481C22H(7,𝔽2)11yescharacteristic
1482C4—22no—
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—43no—
1487C4—43no—
1488C4—43no—
1489C4—43no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—43no—
1494C4—43no—
1495C4—43no—
1496C4—43no—
1497C4—41no—
1498C4—41no—
1499C4—43no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—43no—
1506C4C2×#560112yes—
1507C2—42no—
1508C2—83no—
1509C2—83no—
1510C2—83no—
1511C2—83no—
1512C2—83no—
1513C2C22×#56011yescharacteristic
1514C2#6289911yescharacteristic
1515C2#6291611yescharacteristic
1516C2#6292311yescharacteristic
1517C2#6301411yescharacteristic
1518C2#6301411yescharacteristic
1519C2#6301911yescharacteristic
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. #53102C2semidirect
2. #53096C2semidirect
3. #53063C2semidirect
4. #53059C2semidirect
5. #53059C2semidirect
6. #52971C2semidirect
7. #52293C2semidirect
8. #46339C2semidirect
9. #46010C2semidirect
10. #45992C2semidirect
11. #45604C2semidirect
12. #45600C2semidirect
13. #45599C2semidirect
14. #45593C2semidirect
15. #45483C2semidirect
16. #45478C2semidirect
17. #36592C2semidirect
18. #36458C2semidirect
19. #36455C2semidirect
20. #36448C2semidirect
21. #36433C2semidirect
22. #36430C2semidirect
23. #36429C2semidirect
24. #36429C2semidirect
25. #36429C2semidirect
26. #36076C2semidirect
27. #36029C2semidirect
28. #36029C2semidirect
29. #36005C2semidirect
30. #35831C2semidirect
31. #35831C2semidirect
40. C2×#550C22semidirect
41. C2×#550C22semidirect
42. C2×#550C22semidirect
46. C2×#520C22semidirect
47. C2×#520C22semidirect
48. C2×C4×#41C22semidirect
49. #2867C22semidirect
50. #2863C22semidirect
51. #2860C22semidirect
52. #2856C22semidirect
53. #2854C22semidirect
54. #2850C22semidirect
58. #2829C22semidirect
59. #2828C22semidirect
60. #2826C22semidirect
61. #2825C22semidirect
62. #2825C22semidirect
63. #2825C22semidirect
64. #2818C22semidirect
65. #2818C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
70. #2797C22semidirect
72. #2790C22semidirect
73. #2778C22semidirect
74. #2757C22semidirect
75. #2757C22semidirect
76. #2756C22semidirect
78. #2749C22semidirect
79. #2749C22semidirect
80. #2748C22semidirect
81. #2709C22semidirect
82. #2709C22semidirect
83. #2709C22semidirect
84. #2705C22semidirect
85. #2703C22semidirect
87. #2693C22semidirect
89. #2691C22semidirect
90. #2691C22semidirect
92. #2688C22semidirect
93. #2688C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
106. #2624C22semidirect
107. #2624C22semidirect
108. #2620C22semidirect
109. #2620C22semidirect
110. #2619C22semidirect
111. #2619C22semidirect
112. #2544C22semidirect
113. #2544C22semidirect
114. #2544C22semidirect
115. #2541C22semidirect
116. #2541C22semidirect
117. #2541C22semidirect
118. #2541C22semidirect
119. #2541C22semidirect
120. #2541C22semidirect
121. #2541C22semidirect
122. #2541C22semidirect
123. #2541C22semidirect
126. #2537C22semidirect
128. #2535C22semidirect
129. #2535C22semidirect
130. #2514C22semidirect
131. #2514C22semidirect
132. #2513C22semidirect
133. #2512C22semidirect
134. #2512C22semidirect
135. #2511C22semidirect
136. #2504C22semidirect
137. #2501C22semidirect
138. #2500C22semidirect
139. #2497C22semidirect
141. #2496C22semidirect
143. #2495C22semidirect
145. #2487C22semidirect
146. #2486C22semidirect
147. #2485C22semidirect
148. #2445C22semidirect
149. #2445C22semidirect
150. #2445C22semidirect
151. #2445C22semidirect
152. #2445C22semidirect
153. #2445C22semidirect
166. #2428C22semidirect
167. #2428C22semidirect
168. #2428C22semidirect
169. #2428C22semidirect
170. #2428C22semidirect
171. #2428C22semidirect
172. #2427C22semidirect
173. #2427C22semidirect
174. #2427C22semidirect
175. #2422C22semidirect
176. #2422C22semidirect
177. #2422C22semidirect
178. #2420C22semidirect
179. #2420C22semidirect
180. #2420C22semidirect
181. #2417C22semidirect
182. #2417C22semidirect
185. #2416C22semidirect
186. #2416C22semidirect
187. #2416C22semidirect
188. #2416C22semidirect
189. #2415C22semidirect
191. #2414C22semidirect
192. #2414C22semidirect
202. #2395C22semidirect
203. #2395C22semidirect
206. #2392C22semidirect
207. #2392C22semidirect
208. #2380C22semidirect
209. #2377C22semidirect
210. #2351C22semidirect
211. #2351C22semidirect
212. #2351C22semidirect
213. Q8×C4⋊C4C22semidirect
214. Q8×C4⋊C4C22semidirect
215. Q8×C4⋊C4C22semidirect
222. #2341C22semidirect
223. #2341C22semidirect
224. #2341C22semidirect
228. C4×#127C22semidirect
230. C4×#126C22semidirect
231. C4×#123C22semidirect
233. C4×#121C22semidirect
237. C42×Q8C22semidirect
1316. Q8#560semidirect

Maximal subgroups

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

subgroupindex
#531022
#530962
#530632
#530592
#529712
#522932
#463392
#460102
#459922
#456042
#456002
#455992
#455932
#454832
#454782
#365922
#364582
#364552
#364482
#364332
#364302
#364292
#360762
#360292
#360052
#358312