Finite Group Databasebeta

← #7632348

Subgroups — #7632348

Order 512.

7922 conjugacy classes of subgroups.

The subgroup lattice has 1503 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3524C211yesmaximal, characteristic, complemented
2C22×#519C211yesmaximal, characteristic, complemented
3#36580C213yesmaximal, complemented
4#36576C211yesmaximal, characteristic, complemented
5#36575C211yesmaximal, characteristic, complemented
6#36575C211yesmaximal, characteristic, complemented
7#36438C213yesmaximal, complemented
8#36435C211yesmaximal, characteristic, complemented
9#36235C213yesmaximal, complemented
10#36232C213yesmaximal, complemented
11#36077C213yesmaximal, complemented
12#36041C213yesmaximal, complemented
13#36018C211yesmaximal, characteristic, complemented
14#35985C213yesmaximal, complemented
15#35832C213yesmaximal, complemented
16#35801C211yesmaximal, characteristic, complemented
17#35801C211yesmaximal, characteristic, complemented
18#35786C211yesmaximal, characteristic, complemented
19#35678C213yesmaximal, complemented
20#35675C213yesmaximal, complemented
21#35664C213yesmaximal, complemented
22#35663C213yesmaximal, complemented
23#35261C213yesmaximal, complemented
24#35243C213yesmaximal, complemented
25#34740C213yesmaximal, complemented
26#34708C213yesmaximal, complemented
27#34312C211yesmaximal, characteristic, complemented
28#34294C211yesmaximal, characteristic, complemented
29#34293C211yesmaximal, characteristic, complemented
30#34262C211yesmaximal, characteristic, complemented
31C4×#548C211yesmaximal, characteristic, complemented
32C24×Q8C2211yescharacteristic
33#3524—216no—
34C2×#559C2213yescomplemented
35C2×#557C2211yescharacteristic, complemented
36C2×#555C2213yes—
37C2×#553C2213yes—
38C2×#552C2213yescomplemented
39C2×#550C2211yescharacteristic, complemented
40C2×#548C2211yescharacteristic
41C2×#548C2211yescharacteristic
42C2×#548C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#548C2211yescharacteristic
45C2×#548C2211yescharacteristic
46C2×#542C2213yescomplemented
47C2×#540C2213yes—
48C2×#529C2213yes—
49C2×#529C2213yescomplemented
50C2×#520C2211yescharacteristic, complemented
51C2×#519—216no—
52C2×#519C2211yescharacteristic
53C2×#519C2213yes—
54C2×#519C2213yes—
55C2×#519C2213yes—
56C2×#519C2211yescharacteristic
57C2×#519C2213yes—
58C2×#519C2211yescharacteristic
59C2×#519C2211yescharacteristic
60C2×C4×#41C2211yescharacteristic, complemented
61C22×C4×Q8C2211yescharacteristic
62C22×C4×Q8C2211yescharacteristic
63C22×C4×Q8C2213yes—
64C22×C4×Q8C2213yes—
65C22×#117C2213yes—
66C22×#117C2213yes—
67#2856C2213yes—
68#2852C2216yes—
69#2851C2213yes—
70#2850C2216yes—
71#2847C2213yes—
72#2847C2213yes—
73#2637C2216yescomplemented
74#2632C2216yescomplemented
75#2629C2213yes—
76#2624C2213yes—
77#2624C2213yes—
78#2619C2213yes—
79#2610C2216yes—
80#2609C2216yes—
81#2604C2216yescomplemented
82#2601C2216yes—
83#2599C2216yescomplemented
84#2598C2216yes—
85#2592C2216yescomplemented
86#2582C2213yescomplemented
87#2581C2213yescomplemented
88#2580C2216yescomplemented
89#2565C2213yescomplemented
90#2565C2213yescomplemented
91#2548C2213yescomplemented
92#2548C2213yescomplemented
93#2538C2213yescomplemented
94#2536C2213yescomplemented
95#2500C2213yes—
96#2500C2213yes—
97#2485C2213yes—
98#2485C2213yes—
99#2481C2213yes—
100#2480C2211yescharacteristic
101#2479C2213yes—
102#2478C2213yes—
103#2477C2213yes—
104#2476C2216yes—
105#2476C2216yes—
106#2476C2213yes—
107#2476C2216yes—
108#2476C2216yes—
109#2475C2213yes—
110#2474C2216yes—
111#2474C2213yes—
112#2473C2213yes—
113#2472C2213yes—
114#2471C2216yes—
115#2471C2213yes—
116#2471C2216yes—
117#2470C2216yes—
118#2470C2213yes—
119#2469C2216yescomplemented
120#2465C2216yescomplemented
121#2462C2216yescomplemented
122#2458C2216yescomplemented
123#2458C2216yescomplemented
124#2458C2216yescomplemented
125#2458C2216yescomplemented
126#2458C2216yescomplemented
127#2453C2213yescomplemented
128#2453C2213yescomplemented
129#2451C2213yescomplemented
130#2451C2213yescomplemented
131#2449C2213yes—
132#2448C2213yescomplemented
133#2448C2213yescomplemented
134#2448C2213yescomplemented
135#2448C2213yescomplemented
136#2443C2216yes—
137#2443C2216yes—
138#2443C2213yes—
139#2442C2213yes—
140#2441C2213yes—
141#2440C2213yes—
142#2439C2213yes—
143#2436C2213yes—
144#2436C2213yes—
145#2436C2213yes—
146#2436C2213yes—
147#2436C2213yes—
148#2436C2213yes—
149#2426C2213yescomplemented
150#2426C2213yescomplemented
151#2426C2213yescomplemented
152#2426C2213yescomplemented
153#2424C2216yes—
154#2424C2213yes—
155#2423C2213yescomplemented
156#2423C2213yescomplemented
157#2421C2213yescomplemented
158#2421C2213yescomplemented
159#2418C2213yes—
160#2416C2213yes—
161#2416C2213yes—
162#2414C2213yes—
163#2414C2213yes—
164#2409C2213yes—
165#2409C2213yes—
166#2409C2213yes—
167#2409C2213yes—
168#2409C2213yes—
169#2409C2213yes—
170#2398C2216yescomplemented
171#2396C2213yes—
172#2396C2216yescomplemented
173#2395C2213yes—
174#2395C2213yes—
175#2392C2213yes—
176#2367C2213yescomplemented
177#2367C2213yescomplemented
178#2367C2213yescomplemented
179#2367C2213yescomplemented
180#2363C2213yes—
181#2363C2213yes—
182#2362C2213yescomplemented
183#2362C2213yescomplemented
184#2361C2213yes—
185#2361C2213yes—
186#2360C2213yescomplemented
187#2360C2213yescomplemented
188#2356C2213yescomplemented
189#2355C2213yescomplemented
190#2354C2213yes—
191#2352C2213yes—
192#2352C2213yes—
193#2351C2211yescharacteristic, complemented
194#2351C2211yescharacteristic, complemented
195#2351C2211yescharacteristic, complemented
196Q8×C4⋊C4C2211yescharacteristic, complemented
197Q8×C4⋊C4C2211yescharacteristic, complemented
198Q8×C4⋊C4C2211yescharacteristic, complemented
199D4×C4⋊C4C2213yes—
200#2347C2213yes—
201#2346C2213yes—
202#2341C2211yescharacteristic, complemented
203#2341C2211yescharacteristic, complemented
204#2341C2211yescharacteristic, complemented
205#2341C2211yescharacteristic, complemented
206Q8×C22⋊C4C2211yescharacteristic
207Q8×C22⋊C4C2211yescharacteristic
208Q8×C22⋊C4C2211yescharacteristic
209Q8×C22⋊C4C2211yescharacteristic
210Q8×C22⋊C4C2211yescharacteristic
211Q8×C22⋊C4C2211yescharacteristic
212#2326C2213yescomplemented
213#2326C2213yescomplemented
214#2324C2213yes—
215#2324C2213yes—
216#2323C2213yescomplemented
217#2323C2213yescomplemented
218#2320C2213yescomplemented
219#2314C2213yes—
220C4×#124C2213yescomplemented
221C4×#124C2213yescomplemented
222C4×C22⋊Q8C2213yes—
223C4×C22⋊Q8C2213yescomplemented
224C4×C22⋊Q8C2213yescomplemented
225C4×#121C2216yes—
226C4×#121C2213yes—
227C4×#121C2213yes—
228C4×#121C2213yes—
229C4×#120C2213yes—
230C4×#120C2213yes—
231#2298C2213yes—
232#2295C2213yescomplemented
233#2293C2213yes—
234#2290C2213yes—
235#2290C2216yes—
236#2290C2213yes—
237#2276C2211yescharacteristic, complemented
238C42×Q8C2211yescharacteristic, complemented
239C42×D4C2213yes—
240C22×#41C2311yescharacteristic
241C22×#41C2311yescharacteristic
242C23×Q8—28no—
243C23×Q8—28no—
244C23×Q8—28no—
245C23×Q8C2313yes—
246C23×Q8C2313yes—
247C23×Q8C2313yes—
248C23×Q8C2311yescharacteristic
249C23×Q8C2311yescharacteristic
250C23×Q8C2311yescharacteristic
251C24×C4C2313yes—
252#559—224no—
253#557—28no—
254#555—224no—
255#553—224no—
256#552—224no—
257#550—28no—
258#548—28no—
259#548—28no—
260#548—28no—
261#548—28no—
262#548—28no—
263#548—28no—
264#542—224no—
265#540—224no—
266C2×C4⋊Q8C2313yes—
267C2×#127C2313yes—
268#529—224no—
269#529—224no—
270C2×#126C2316yes—
271C2×#126C2311yescharacteristic
272C2×#126C2313yes—
273C2×#125C2313yes—
274C2×#125C2313yes—
275C2×#125C2313yes—
276C2×#124C2313yes—
277C2×#124C2313yes—
278C2×#124C2316yes—
279C2×#124C2313yes—
280C2×#124C2313yes—
281C2×#124C2313yes—
282C2×#124C2313yes—
283C2×#124C2313yes—
284C2×#123C2313yes—
285C2×#123C2313yes—
286C2×#123C2316yes—
287C2×#123C2316yes—
288C2×C22⋊Q8C2313yes—
289C2×C22⋊Q8C2313yes—
290C2×C22⋊Q8C2313yes—
291C2×C22⋊Q8C2313yes—
292C2×C22⋊Q8C2313yes—
293C2×C22⋊Q8C2313yes—
294C2×C22⋊Q8C2313yes—
295C2×C22⋊Q8C2313yes—
296C2×#121C2313yes—
297C2×#121C2313yes—
298C2×#121C2313yes—
299C2×#121C2313yes—
300C2×#121C2313yes—
301C2×#121C2313yes—
302C2×#121C2313yes—
303C2×#121C2313yes—
304C2×#121C2313yes—
305C2×#121C2316yes—
306C2×#121C2316yes—
307C2×#121C2313yes—
308C2×#120C2313yes—
309C2×#120C2313yes—
310#520—28no—
311#519—28no—
312#519—28no—
313#519—224no—
314#519—28no—
315#519—224no—
316#519—224no—
317#519—224no—
318#519D4116yescomplemented
319C4×#41—28no—
320C2×C4×Q8—28no—
321C2×C4×Q8—224no—
322C2×C4×Q8—28no—
323C2×C4×Q8—224no—
324C2×C4×Q8C2313yes—
325C2×C4×Q8C2313yes—
326C2×C4×Q8C2313yes—
327C2×C4×Q8C2313yes—
328C2×C4×Q8C2316yes—
329C2×C4×Q8C2313yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2313yes—
339C2×C4×Q8C2313yes—
340C2×C4×Q8C2316yes—
341C2×C4×Q8C2313yes—
342C2×C4×Q8C2313yes—
343C2×C4×Q8C2313yes—
344C2×C4×Q8C2313yes—
345C2×C4×Q8C2316yes—
346C2×C4×Q8C2316yes—
347C2×C4×Q8C2313yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2313yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×D4C2313yes—
352C2×C4×D4C2313yes—
353C2×C4×D4C2316yes—
354C2×C4×D4C2313yes—
355C2×C4×D4C2313yes—
356C2×C4×D4C2313yes—
357C2×C4×D4C2313yes—
358C2×C4×D4C2313yes—
359C2×C4×D4C2313yes—
360C2×C4×D4C2313yes—
361C2×C4×D4C2313yes—
362C2×C4×D4C2313yes—
363C2×C4×D4C2316yes—
364C2×C4×D4C2313yes—
365C2×C4×D4C2313yes—
366C2×#117—224no—
367C2×#117—224no—
368C2×#117C2313yes—
369C2×#117C2313yes—
370C2×#117C2316yes—
371C2×#117C2316yes—
372C2×#117C2313yes—
373C2×#117C2313yes—
374C2×#117C2313yes—
375C2×#117C2313yes—
376C2×#117C2313yes—
377C2×#117C2316yes—
378C2×#117C2313yes—
379C2×#117C2313yes—
380C2×#117C2313yes—
381C2×#117C2313yes—
382C2×#117C2313yes—
383C2×#117C2313yes—
384C2×#117C2313yes—
385C22×C4⋊C4C2313yes—
386C22×C4⋊C4C2313yes—
387C22×C4⋊C4C2313yes—
388C22×C4⋊C4C2313yes—
389C22×C4⋊C4C2313yes—
390C22×C22⋊C4C2313yes—
391C22×C22⋊C4C2311yescharacteristic
392C22×C42C2316yes—
393C22×C42C2313yes—
394C22×C42C2313yes—
395C22×C42C2313yes—
396#400C2316yes—
397#400C2313yes—
398#400C2313yes—
399#400C2313yes—
400#399C2313yes—
401#399C2316yes—
402#399C2313yes—
403#399C2316yes—
404#399C2313yes—
405#398C2313yes—
406#398C2316yes—
407#398C2316yes—
408#398C2316yes—
409#398C2313yes—
410#398C2313yes—
411#398C2316yes—
412#398C2313yes—
413#398C2313yes—
414#397C2313yes—
415#397C2316yes—
416#397C2316yes—
417#397C2311yescharacteristic
418#397C2311yescharacteristic
419#397C2311yescharacteristic
420#397C2313yes—
421#397C2313yes—
422#397C2313yes—
423#396C2316yes—
424#396C2316yes—
425#396C2316yes—
426#396C2313yes—
427#396C2313yes—
428#396C2313yes—
429#396C2311yescharacteristic
430#395C2316yes—
431#395C2316yes—
432#395C2316yes—
433#395C2313yes—
434#394C2316yes—
435#394C2313yes—
436#394C2313yes—
437#394C2316yes—
438#394C2316yes—
439#394C2316yes—
440#394C2313yes—
441#394C2313yes—
442#394C2316yes—
443#394C2316yes—
444#394C2313yes—
445#394C2313yes—
446#394C2313yes—
447#393C2316yes—
448#393C2316yes—
449#393C2316yes—
450#393C2316yes—
451#393C2316yes—
452#393C2316yes—
453#393C2313yes—
454#392C2316yes—
455#392C2313yes—
456#391C2313yes—
457#391C2313yes—
458#391C2313yes—
459#391C2313yes—
460#391C2313yes—
461#391C2313yes—
462#391C2313yes—
463#391C2313yes—
464#391C2313yes—
465#391C2316yes—
466#391C2313yes—
467#391C2313yes—
468#391C2313yes—
469#391C2313yes—
470#390C2313yes—
471#390C2313yes—
472#390C2313yes—
473#390C2316yes—
474#390C2316yes—
475#390C2316yes—
476#390C2313yes—
477#390C2313yes—
478#390C2316yes—
479#390C2313yes—
480#390C2313yes—
481#390C2313yes—
482#390C2313yes—
483#390C2316yes—
484#390C2313yes—
485#390C2313yes—
486#389C2313yes—
487#389C2313yes—
488#389C2313yes—
489#389C2313yes—
490#389C2313yes—
491#389C2316yes—
492#389C2313yes—
493#389C2313yes—
494#389C2313yes—
495#389C2316yes—
496#389C2313yes—
497#389C2313yes—
498#389C2313yes—
499#389C2313yes—
500#389C2313yes—
501#389C2313yes—
502#389C2313yes—
503#389C2313yes—
504#388C2313yes—
505#388C2316yes—
506#388C2316yes—
507#388C2316yes—
508#388C2316yes—
509#388C2316yes—
510#388C2316yes—
511#388C2313yes—
512#388C2316yes—
513#388C2316yes—
514#388C2313yes—
515#388C2316yes—
516#388C2316yes—
517#388C2316yes—
518#388C2316yes—
519#388C2316yes—
520#388C2316yes—
521#388C2313yes—
522#388C2316yes—
523#388C2313yes—
524#388C2316yes—
525#388C2313yes—
526#388C2313yes—
527#388C2313yes—
528#388C2316yes—
529#388C2313yes—
530#388C2316yes—
531#388C2316yes—
532#388C2313yes—
533#388C2313yes—
534#388C2311yescharacteristic
535#388C2311yescharacteristic
536#388C2311yescharacteristic
537#387C2313yes—
538#387C2316yes—
539#387C2316yes—
540#387C2316yes—
541#387C2316yes—
542#387C2316yes—
543#387C2313yes—
544#387C2313yes—
545#387C2316yes—
546#387C2313yes—
547#387C2316yes—
548#387C2316yes—
549#387C2313yes—
550#387C2316yes—
551#387C2316yes—
552#387C2313yes—
553#387C2313yes—
554#387C2313yes—
555#387C2313yes—
556#387C2313yes—
557#386C2313yes—
558#386C2316yes—
559#386C2316yes—
560#386C2316yes—
561#386C2316yes—
562#386C2316yes—
563#386C2316yes—
564#386C2316yes—
565#386C2313yes—
566#386C2313yes—
567#386C2316yes—
568#386C2313yes—
569#386C2313yes—
570#386C2313yes—
571#386C2313yes—
572#386C2313yes—
573#386C2313yes—
574#386C2313yes—
575#386C2313yes—
576#386C2313yes—
577#385C2316yes—
578#385C2316yes—
579#385C2313yes—
580#385C2316yes—
581#385C2316yes—
582#385C2313yes—
583#385C2316yes—
584#385C2313yes—
585#385C2316yes—
586#385C2313yes—
587#385C2313yes—
588#385C2313yes—
589#385C2313yes—
590#385C2313yes—
591#385C2313yes—
592#385C2313yes—
593#385C2311yescharacteristic
594#385C2311yescharacteristic
595#384C2313yes—
596#384C2313yes—
597#384C2313yes—
598#383C2316yes—
599#382C2313yes—
600#382C2313yes—
601#382C2313yes—
602#382C2316yes—
603#380C2313yes—
604#380C2313yes—
605#380C2313yes—
606#380C2313yes—
607#380C2313yes—
608#380C2313yes—
609#380C2313yes—
610#380C2313yes—
611#380C2313yes—
612#380C2313yes—
613#380C2313yes—
614#380C2311yescharacteristic
615#379C2311yescharacteristic
616#379C2311yescharacteristic
617C4×C4⋊C4C2313yes—
618C4×C4⋊C4C2313yes—
619C4×C4⋊C4C2313yes—
620C4×C4⋊C4C2313yes—
621C4×C4⋊C4C2316yes—
622C4×C4⋊C4C2313yes—
623C4×C4⋊C4C2313yes—
624C4×C4⋊C4C2313yes—
625C4×C4⋊C4C2313yes—
626C4×C4⋊C4C2313yes—
627C4×C4⋊C4C2313yes—
628C4×C4⋊C4C2313yes—
629C4×C4⋊C4C2313yes—
630C4×C4⋊C4C2316yes—
631C4×C4⋊C4C2313yes—
632C4×C4⋊C4C2313yes—
633C4×C22⋊C4C2313yes—
634C4×C22⋊C4C2313yes—
635C4×C22⋊C4C2313yes—
636C4×C22⋊C4C2313yes—
637C4×C22⋊C4C2313yes—
638C4×C22⋊C4C2313yes—
639C4×C22⋊C4C2313yes—
640C4×C22⋊C4C2313yes—
641C4×C22⋊C4C2313yes—
642C4×C22⋊C4C2313yes—
643C4×C22⋊C4C2313yes—
644C4×C22⋊C4C2316yes—
645C4×C22⋊C4C2316yes—
646C4×C22⋊C4C2316yes—
647C4×C22⋊C4C2316yes—
648C4×C22⋊C4C2313yes—
649C4×C22⋊C4C2313yes—
650C4×C22⋊C4C2316yes—
651C4×C22⋊C4C2311yescharacteristic
652#376C2313yes—
653#376C2316yes—
654C43C2313yes—
655C25C2411yescharacteristic
656C2×#41—24no—
657C2×#41—24no—
658C2×#41—24no—
659C2×#41—24no—
660C2×#41—24no—
661C2×#41—24no—
662C22×Q8—2128no—
663C22×Q8—212no—
664C22×Q8—24no—
665C22×Q8—212no—
666C22×Q8—24no—
667C22×Q8—212no—
668C22×Q8—212no—
669C22×Q8—212no—
670C22×Q8—212no—
671C22×Q8—24no—
672C22×Q8—24no—
673C22×Q8—24no—
674C22×Q8—24no—
675C22×Q8—212no—
676C22×Q8—212no—
677C22×Q8—212no—
678C22×Q8C2×D418yes—
679C22×Q8#4118yes—
680C22×Q8#4118yes—
681C22×Q8C2416yes—
682C22×Q8C2413yes—
683C22×Q8C2413yes—
684C22×Q8C2413yes—
685C22×Q8C2413yes—
686C22×Q8C2411yescharacteristic
687C22×D4C2413yes—
688C22×D4C2413yes—
689C22×D4C2413yes—
690C22×D4C2413yes—
691C22×D4C2413yes—
692C22×D4C2413yes—
693C22×D4C2413yes—
694C22×D4C2413yes—
695C22×D4C2416yes—
696C22×D4C2413yes—
697C23×C4—212no—
698C23×C4—212no—
699C23×C4—212no—
700C23×C4C2413yes—
701C23×C4C2413yes—
702C23×C4C2413yes—
703C23×C4C2413yes—
704C23×C4C2413yes—
705C23×C4C2413yes—
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2413yes—
709C23×C4C2413yes—
710C23×C4C2413yes—
711C23×C4C2413yes—
712C23×C4C2416yes—
713C23×C4C2413yes—
714C23×C4C2413yes—
715C4⋊Q8—212no—
716#127—212no—
717#126—212no—
718#126—24no—
719#126—224no—
720#125—212no—
721#125—212no—
722#125—212no—
723#124—212no—
724#124—212no—
725#124—212no—
726#124—212no—
727#124—212no—
728#124—212no—
729#124—212no—
730#124—224no—
731#123—224no—
732#123—212no—
733#123—224no—
734#123—212no—
735C22⋊Q8—212no—
736C22⋊Q8—212no—
737C22⋊Q8—212no—
738C22⋊Q8—212no—
739C22⋊Q8—212no—
740C22⋊Q8—212no—
741C22⋊Q8—212no—
742C22⋊Q8—46no—
743#121—212no—
744#121—212no—
745#121—212no—
746#121—212no—
747#121—212no—
748#121—212no—
749#121—212no—
750#121—212no—
751#121—212no—
752#121—224no—
753#121—46no—
754#121—412no—
755#120—46no—
756#120—46no—
757C4×Q8—212no—
758C4×Q8—212no—
759C4×Q8—24no—
760C4×Q8—24no—
761C4×Q8—24no—
762C4×Q8—24no—
763C4×Q8—24no—
764C4×Q8—24no—
765C4×Q8—24no—
766C4×Q8—24no—
767C4×Q8—212no—
768C4×Q8—212no—
769C4×Q8—212no—
770C4×Q8—212no—
771C4×Q8—224no—
772C4×Q8—224no—
773C4×Q8—212no—
774C4×Q8—212no—
775C4×Q8—224no—
776C4×Q8—224no—
777C4×Q8—212no—
778C4×Q8—212no—
779C4×Q8—212no—
780C4×Q8C2×D418yes—
781C4×Q8C2×D4124yes—
782C4×Q8C2×D418yes—
783C4×Q8C2×D4124yes—
784C4×D4—212no—
785C4×D4—212no—
786C4×D4—212no—
787C4×D4—212no—
788C4×D4—212no—
789C4×D4—212no—
790C4×D4—212no—
791C4×D4—212no—
792C4×D4—212no—
793C4×D4—212no—
794C4×D4—212no—
795C4×D4—224no—
796C4×D4—46no—
797C4×D4—412no—
798C4×D4—46no—
799#117—212no—
800#117—212no—
801#117—212no—
802#117—212no—
803#117—212no—
804#117—212no—
805#117—212no—
806#117—212no—
807#117—212no—
808#117—224no—
809#117—212no—
810#117—224no—
811#117—212no—
812#117—212no—
813#117—224no—
814#117C2×D4124yes—
815#117C2×D4124yes—
816C2×C4⋊C4—212no—
817C2×C4⋊C4—212no—
818C2×C4⋊C4—212no—
819C2×C4⋊C4—212no—
820C2×C4⋊C4—212no—
821C2×C4⋊C4C2413yes—
822C2×C4⋊C4C2413yes—
823C2×C4⋊C4C2413yes—
824C2×C4⋊C4C2416yes—
825C2×C4⋊C4C2413yes—
826C2×C4⋊C4C2413yes—
827C2×C4⋊C4C2413yes—
828C2×C4⋊C4C2416yes—
829C2×C4⋊C4C2413yes—
830C2×C4⋊C4C2413yes—
831C2×C4⋊C4C2413yes—
832C2×C4⋊C4C2413yes—
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2413yes—
835C2×C4⋊C4C2413yes—
836C2×C4⋊C4C2416yes—
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2413yes—
839C2×C4⋊C4C2413yes—
840C2×C4⋊C4C2413yes—
841C2×C4⋊C4C2413yes—
842C2×C4⋊C4C2413yes—
843C2×C4⋊C4C2413yes—
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2413yes—
846C2×C4⋊C4C2413yes—
847C2×C4⋊C4C2413yes—
848C2×C4⋊C4C2413yes—
849C2×C4⋊C4C2413yes—
850C2×C4⋊C4C2413yes—
851C2×C4⋊C4C2413yes—
852C2×C4⋊C4C2416yes—
853C2×C4⋊C4C2416yes—
854C2×C4⋊C4C2413yes—
855C2×C4⋊C4C2413yes—
856C2×C4⋊C4C2413yes—
857C2×C4⋊C4C2413yes—
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2413yes—
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2413yes—
863C2×C4⋊C4C2416yes—
864C2×C4⋊C4C2413yes—
865C2×C4⋊C4C2413yes—
866C2×C4⋊C4C2413yes—
867C2×C4⋊C4C2413yes—
868C2×C4⋊C4C2413yes—
869C2×C22⋊C4—24no—
870C2×C22⋊C4—212no—
871C2×C22⋊C4C2413yes—
872C2×C22⋊C4C2411yescharacteristic
873C2×C22⋊C4C2411yescharacteristic
874C2×C22⋊C4C2413yes—
875C2×C22⋊C4C2413yes—
876C2×C22⋊C4C2411yescharacteristic
877C2×C22⋊C4C2413yes—
878C2×C22⋊C4C2413yes—
879C2×C22⋊C4C2416yes—
880C2×C22⋊C4C2413yes—
881C2×C22⋊C4C2416yes—
882C2×C22⋊C4C2411yescharacteristic
883C2×C22⋊C4C2413yes—
884C2×C22⋊C4C2411yescharacteristic
885C2×C22⋊C4C2411yescharacteristic
886C2×C22⋊C4C2411yescharacteristic
887C2×C22⋊C4C2411yescharacteristic
888C2×C22⋊C4C2411yescharacteristic
889C2×C22⋊C4C2411yescharacteristic
890C2×C22⋊C4C2413yes—
891C2×C22⋊C4C2413yes—
892C2×C22⋊C4C2413yes—
893C2×C22⋊C4C2416yes—
894C2×C22⋊C4C2413yes—
895C2×C22⋊C4C2413yes—
896C2×C22⋊C4C2413yes—
897C2×C22⋊C4C2413yes—
898C2×C22⋊C4C2413yes—
899C2×C22⋊C4C2416yes—
900C2×C22⋊C4C2416yes—
901C2×C22⋊C4C2416yes—
902C2×C22⋊C4C2416yes—
903C2×C22⋊C4C2411yescharacteristic
904C2×C22⋊C4C2413yes—
905C2×C22⋊C4C2413yes—
906C2×C22⋊C4C2416yes—
907C2×C22⋊C4C2413yes—
908C2×C22⋊C4C2413yes—
909C2×C22⋊C4C2413yes—
910C2×C22⋊C4C2413yes—
911C2×C22⋊C4C2416yes—
912C2×C22⋊C4C2416yes—
913C2×C22⋊C4C2413yes—
914C2×C22⋊C4C2413yes—
915C2×C22⋊C4C2411yescharacteristic
916C2×C22⋊C4C2411yescharacteristic
917C2×C22⋊C4C2411yescharacteristic
918C2×C22⋊C4C2411yescharacteristic
919C2×C22⋊C4C2413yes—
920C2×C22⋊C4C2413yes—
921C2×C22⋊C4C2416yes—
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2411yescharacteristic
925C2×C22⋊C4C2413yes—
926C2×C42—212no—
927C2×C42—224no—
928C2×C42—212no—
929C2×C42—212no—
930C2×C42C2413yes—
931C2×C42C2416yes—
932C2×C42C2413yes—
933C2×C42C2413yes—
934C2×C42C2413yes—
935C2×C42C2413yes—
936C2×C42C2413yes—
937C2×C42C2416yes—
938C2×C42C2416yes—
939C2×C42C2413yes—
940C2×C42C2413yes—
941C2×C42C2413yes—
942C2×C42C2413yes—
943C2×C42C2413yes—
944C2×C42C2413yes—
945C2×C42C2413yes—
946C2×C42C2411yescharacteristic
947C2×C42C2413yes—
948C2×C42C2413yes—
949C2×C42C2416yes—
950C2×C42C2411yescharacteristic
951C2×C42C2413yes—
952C2×C42C2413yes—
953C2×C42C2416yes—
954C2×C42C2413yes—
955#95C2411yescharacteristic
956#95C2413yes—
957#95C2413yes—
958#95C2413yes—
959#95C2413yes—
960#95C2413yes—
961#95C2416yes—
962#95C2416yes—
963#95C2411yescharacteristic
964#95C2411yescharacteristic
965#95C2411yescharacteristic
966#95C2411yescharacteristic
967#95C2413yes—
968#95C2413yes—
969#95C2411yescharacteristic
970#95C2413yes—
971#95C2413yes—
972#95C2413yes—
973#95C2413yes—
974#95C2413yes—
975#95C2413yes—
976#95C2413yes—
977#95C2413yes—
978#95C2413yes—
979#95C2413yes—
980#95C2413yes—
981#95C2416yes—
982#95C2416yes—
983#95C2416yes—
984#95C2413yes—
985#95C2416yes—
986#95C2416yes—
987#95C2413yes—
988#95C2413yes—
989#95C2413yes—
990#95C2413yes—
991#95C2413yes—
992#95C2416yes—
993#95C2411yescharacteristic
994#95C2411yescharacteristic
995#95C2416yes—
996#95C2416yes—
997#95C2413yes—
998#95C2413yes—
999#95C2413yes—
1000#95C2413yes—
1001C24—22no—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—41no—
1007C24—41no—
1008C24C2513yes—
1009C24C2513yes—
1010C24C2511yescharacteristic
1011C24C2511yescharacteristic
1012C24C2511yescharacteristic
1013#41—416no—
1014#41—416no—
1015C2×Q8—296no—
1016C2×Q8—296no—
1017C2×Q8—296no—
1018C2×Q8—232no—
1019C2×Q8—232no—
1020C2×Q8—232no—
1021C2×Q8—212no—
1022C2×Q8—26no—
1023C2×Q8—26no—
1024C2×Q8—26no—
1025C2×Q8—212no—
1026C2×Q8—212no—
1027C2×Q8—26no—
1028C2×Q8—26no—
1029C2×Q8—26no—
1030C2×Q8—26no—
1031C2×Q8—43no—
1032C2×Q8—43no—
1033C2×Q8C22×D4112yes—
1034C2×Q8C22×D414yes—
1035C2×Q8C2×#41112yes—
1036C2×Q8C2×#41112yes—
1037C2×Q8C2×#4114yes—
1038C2×Q8C2×#4114yes—
1039C2×D4—26no—
1040C2×D4—26no—
1041C2×D4—26no—
1042C2×D4—26no—
1043C2×D4—26no—
1044C2×D4—26no—
1045C2×D4—26no—
1046C2×D4—26no—
1047C2×D4—26no—
1048C2×D4—26no—
1049C2×D4—26no—
1050C2×D4—26no—
1051C2×D4—212no—
1052C2×D4—26no—
1053C2×D4—26no—
1054C2×D4—26no—
1055C2×D4—26no—
1056C2×D4—26no—
1057C2×D4—43no—
1058C2×D4—43no—
1059C2×D4—43no—
1060C2×D4—43no—
1061C2×D4—43no—
1062C2×D4—46no—
1063C2×D4—43no—
1064C2×D4—46no—
1065C2×D4—43no—
1066C2×D4—43no—
1067C2×D4—43no—
1068C2×D4—43no—
1069C22×C4—296no—
1070C22×C4—26no—
1071C22×C4—26no—
1072C22×C4—26no—
1073C22×C4—26no—
1074C22×C4—26no—
1075C22×C4—26no—
1076C22×C4—26no—
1077C22×C4—26no—
1078C22×C4—26no—
1079C22×C4—26no—
1080C22×C4—26no—
1081C22×C4—26no—
1082C22×C4—26no—
1083C22×C4—26no—
1084C22×C4—26no—
1085C22×C4—26no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—26no—
1089C22×C4—22no—
1090C22×C4—26no—
1091C22×C4—26no—
1092C22×C4—22no—
1093C22×C4—26no—
1094C22×C4—26no—
1095C22×C4—26no—
1096C22×C4—26no—
1097C22×C4—26no—
1098C22×C4—26no—
1099C22×C4—26no—
1100C22×C4—26no—
1101C22×C4—212no—
1102C22×C4—43no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—43no—
1106C22×C4—46no—
1107C22×C4—43no—
1108C22×C4—43no—
1109C22×C4—43no—
1110C22×C4—46no—
1111C22×C4—43no—
1112C22×C4C22×D4112yes—
1113C22×C4C2×#41112yes—
1114C22×C4C2×#41112yes—
1115C22×C4C2511yescharacteristic
1116C22×C4C2511yescharacteristic
1117C22×C4C2513yes—
1118C22×C4C2513yes—
1119C22×C4C2511yescharacteristic
1120C22×C4C2511yescharacteristic
1121C22×C4C2513yes—
1122C22×C4C2513yes—
1123C22×C4C2511yescharacteristic
1124C22×C4C2511yescharacteristic
1125C22×C4C2513yes—
1126C22×C4C2513yes—
1127C22×C4C2511yescharacteristic
1128C22×C4C2511yescharacteristic
1129C22×C4C2511yescharacteristic
1130C22×C4C2513yes—
1131C22×C4C2511yescharacteristic
1132C22×C4C2513yes—
1133C22×C4C2513yes—
1134C22×C4C2511yescharacteristic
1135C22×C4C2513yes—
1136C22×C4C2513yes—
1137C22×C4C2511yescharacteristic
1138C22×C4C2513yes—
1139C22×C4C2513yes—
1140C22×C4C2513yes—
1141C4⋊C4—26no—
1142C4⋊C4—26no—
1143C4⋊C4—212no—
1144C4⋊C4—26no—
1145C4⋊C4—212no—
1146C4⋊C4—26no—
1147C4⋊C4—26no—
1148C4⋊C4—26no—
1149C4⋊C4—26no—
1150C4⋊C4—26no—
1151C4⋊C4—26no—
1152C4⋊C4—26no—
1153C4⋊C4—22no—
1154C4⋊C4—26no—
1155C4⋊C4—26no—
1156C4⋊C4—212no—
1157C4⋊C4—22no—
1158C4⋊C4—26no—
1159C4⋊C4—26no—
1160C4⋊C4—22no—
1161C4⋊C4—26no—
1162C4⋊C4—26no—
1163C4⋊C4—26no—
1164C4⋊C4—26no—
1165C4⋊C4—26no—
1166C4⋊C4—26no—
1167C4⋊C4—26no—
1168C4⋊C4—26no—
1169C4⋊C4—26no—
1170C4⋊C4—41no—
1171C4⋊C4—43no—
1172C4⋊C4—43no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—43no—
1176C4⋊C4—46no—
1177C4⋊C4—46no—
1178C4⋊C4—43no—
1179C4⋊C4—43no—
1180C4⋊C4—43no—
1181C4⋊C4—46no—
1182C4⋊C4—43no—
1183C4⋊C4—43no—
1184C4⋊C4—43no—
1185C4⋊C4C22×D4112yes—
1186C4⋊C4C22×D4112yes—
1187C4⋊C4C22×D4112yes—
1188C4⋊C4C22×D4112yes—
1189C22⋊C4—22no—
1190C22⋊C4—26no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—26no—
1199C22⋊C4—26no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—26no—
1203C22⋊C4—26no—
1204C22⋊C4—22no—
1205C22⋊C4—26no—
1206C22⋊C4—26no—
1207C22⋊C4—212no—
1208C22⋊C4—26no—
1209C22⋊C4—212no—
1210C22⋊C4—26no—
1211C22⋊C4—26no—
1212C22⋊C4—212no—
1213C22⋊C4—26no—
1214C22⋊C4—26no—
1215C22⋊C4—26no—
1216C22⋊C4—26no—
1217C22⋊C4—26no—
1218C22⋊C4—212no—
1219C22⋊C4—212no—
1220C22⋊C4—212no—
1221C22⋊C4—212no—
1222C22⋊C4—41no—
1223C22⋊C4—43no—
1224C22⋊C4—41no—
1225C22⋊C4—46no—
1226C22⋊C4—41no—
1227C22⋊C4—43no—
1228C22⋊C4—43no—
1229C22⋊C4—43no—
1230C22⋊C4—41no—
1231C22⋊C4—43no—
1232C22⋊C4—46no—
1233C22⋊C4—43no—
1234C22⋊C4—43no—
1235C22⋊C4—43no—
1236C22⋊C4—43no—
1237C22⋊C4—43no—
1238C22⋊C4—43no—
1239C22⋊C4—43no—
1240C22⋊C4—46no—
1241C22⋊C4—46no—
1242C22⋊C4C22×D414yes—
1243C22⋊C4C22×D4112yes—
1244C42—22no—
1245C42—26no—
1246C42—26no—
1247C42—26no—
1248C42—212no—
1249C42—212no—
1250C42—26no—
1251C42—26no—
1252C42—212no—
1253C42—26no—
1254C42—26no—
1255C42—26no—
1256C42—26no—
1257C42—26no—
1258C42—26no—
1259C42—26no—
1260C42—26no—
1261C42—43no—
1262C42—41no—
1263C42—43no—
1264C42—46no—
1265C42—43no—
1266C42C22×D4112yes—
1267C42C22×D4124yes—
1268C42C22×D4112yes—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—28no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
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—44no—
1301C23—44no—
1302C23—44no—
1303C23—44no—
1304C23—44no—
1305C23—44no—
1306C23C23×D412yes—
1307C23C22×#4112yes—
1308C23C22×#4112yes—
1309C23#58512yes—
1310C23#58512yes—
1311C23C2611yescharacteristic
1312Q8—248no—
1313Q8—224no—
1314Q8—224no—
1315Q8—224no—
1316Q8—86no—
1317Q8#525116yes—
1318D4—412no—
1319D4—412no—
1320D4—412no—
1321D4—412no—
1322D4—86no—
1323D4—812no—
1324D4—86no—
1325D4—86no—
1326D4—86no—
1327D4—86no—
1328C2×C4—224no—
1329C2×C4—224no—
1330C2×C4—224no—
1331C2×C4—23no—
1332C2×C4—23no—
1333C2×C4—23no—
1334C2×C4—23no—
1335C2×C4—23no—
1336C2×C4—23no—
1337C2×C4—23no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—23no—
1341C2×C4—23no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—23no—
1345C2×C4—224no—
1346C2×C4—224no—
1347C2×C4—224no—
1348C2×C4—21no—
1349C2×C4—23no—
1350C2×C4—21no—
1351C2×C4—23no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—23no—
1356C2×C4—23no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—23no—
1363C2×C4—23no—
1364C2×C4—23no—
1365C2×C4—23no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—23no—
1372C2×C4—23no—
1373C2×C4—23no—
1374C2×C4—23no—
1375C2×C4—23no—
1376C2×C4—23no—
1377C2×C4—23no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—23no—
1383C2×C4—23no—
1384C2×C4—23no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—23no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—23no—
1393C2×C4—21no—
1394C2×C4—23no—
1395C2×C4—21no—
1396C2×C4—23no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—23no—
1401C2×C4—23no—
1402C2×C4—412no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—412no—
1406C2×C4—412no—
1407C2×C4—412no—
1408C2×C4—86no—
1409C2×C4—812no—
1410C2×C4—86no—
1411C2×C4C23×D412yes—
1412C2×C4C23×D416yes—
1413C2×C4C23×D416yes—
1414C2×C4C23×D412yes—
1415C2×C4C23×D416yes—
1416C2×C4C23×D416yes—
1417C2×C4C22×#4116yes—
1418C2×C4C22×#4116yes—
1419C2×C4C22×#4116yes—
1420C2×C4C22×#4116yes—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—416no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
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#352414yescomplemented
1457C22C24×D411yescharacteristic
1458C22C23×#4111yescharacteristic
1459C22C23×#4111yescharacteristic
1460C22C2×#58511yescharacteristic
1461C22C2×#58511yescharacteristic
1462C222−1+611yescharacteristic
1463C222−1+611yescharacteristic
1464C4—26no—
1465C4—22no—
1466C4—22no—
1467C4—26no—
1468C4—26no—
1469C4—26no—
1470C4—26no—
1471C4—41no—
1472C4—43no—
1473C4—43no—
1474C4—41no—
1475C4—41no—
1476C4—43no—
1477C4—43no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—43no—
1482C4—43no—
1483C4—43no—
1484C4—43no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4C2×#525112yes—
1490C2—24no—
1491C2—42no—
1492C2—42no—
1493C2—83no—
1494C2—83no—
1495C2C22×#52511yescharacteristic
1496C2C2×#352411yescharacteristic
1497C2#6285011yescharacteristic
1498C2#6300211yescharacteristic
1499C2#6300211yescharacteristic
1500C2#6300511yescharacteristic
1501C2#6300511yescharacteristic
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. C2×#3524C2semidirect
2. C22×#519C2semidirect
3. #36580C2semidirect
4. #36576C2semidirect
5. #36575C2semidirect
6. #36575C2semidirect
7. #36438C2semidirect
8. #36435C2semidirect
9. #36235C2semidirect
10. #36232C2semidirect
11. #36077C2semidirect
12. #36041C2semidirect
13. #36018C2semidirect
14. #35985C2semidirect
15. #35832C2semidirect
16. #35801C2semidirect
17. #35801C2semidirect
18. #35786C2semidirect
19. #35678C2semidirect
20. #35675C2semidirect
21. #35664C2semidirect
22. #35663C2semidirect
23. #35261C2semidirect
24. #35243C2semidirect
25. #34740C2semidirect
26. #34708C2semidirect
27. #34312C2semidirect
28. #34294C2semidirect
29. #34293C2semidirect
30. #34262C2semidirect
31. C4×#548C2semidirect
34. C2×#559C22semidirect
35. C2×#557C22semidirect
38. C2×#552C22semidirect
39. C2×#550C22semidirect
46. C2×#542C22semidirect
49. C2×#529C22semidirect
50. C2×#520C22semidirect
60. C2×C4×#41C22semidirect
73. #2637C22semidirect
74. #2632C22semidirect
81. #2604C22semidirect
83. #2599C22semidirect
85. #2592C22semidirect
86. #2582C22semidirect
87. #2581C22semidirect
88. #2580C22semidirect
89. #2565C22semidirect
90. #2565C22semidirect
91. #2548C22semidirect
92. #2548C22semidirect
93. #2538C22semidirect
94. #2536C22semidirect
119. #2469C22semidirect
120. #2465C22semidirect
121. #2462C22semidirect
122. #2458C22semidirect
123. #2458C22semidirect
124. #2458C22semidirect
125. #2458C22semidirect
126. #2458C22semidirect
127. #2453C22semidirect
128. #2453C22semidirect
129. #2451C22semidirect
130. #2451C22semidirect
132. #2448C22semidirect
133. #2448C22semidirect
134. #2448C22semidirect
135. #2448C22semidirect
149. #2426C22semidirect
150. #2426C22semidirect
151. #2426C22semidirect
152. #2426C22semidirect
155. #2423C22semidirect
156. #2423C22semidirect
157. #2421C22semidirect
158. #2421C22semidirect
170. #2398C22semidirect
172. #2396C22semidirect
176. #2367C22semidirect
177. #2367C22semidirect
178. #2367C22semidirect
179. #2367C22semidirect
182. #2362C22semidirect
183. #2362C22semidirect
186. #2360C22semidirect
187. #2360C22semidirect
188. #2356C22semidirect
189. #2355C22semidirect
193. #2351C22semidirect
194. #2351C22semidirect
195. #2351C22semidirect
196. Q8×C4⋊C4C22semidirect
197. Q8×C4⋊C4C22semidirect
198. Q8×C4⋊C4C22semidirect
202. #2341C22semidirect
203. #2341C22semidirect
204. #2341C22semidirect
205. #2341C22semidirect
212. #2326C22semidirect
213. #2326C22semidirect
216. #2323C22semidirect
217. #2323C22semidirect
218. #2320C22semidirect
220. C4×#124C22semidirect
221. C4×#124C22semidirect
223. C4×C22⋊Q8C22semidirect
224. C4×C22⋊Q8C22semidirect
232. #2295C22semidirect
237. #2276C22semidirect
238. C42×Q8C22semidirect
318. #519D4semidirect
1456. C22#3524semidirect

Maximal subgroups

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

subgroupindex
C2×#35242
C22×#5192
#365802
#365762
#365752
#364382
#364352
#362352
#362322
#360772
#360412
#360182
#359852
#358322
#358012
#357862
#356782
#356752
#356642
#356632
#352612
#352432
#347402
#347082
#343122
#342942
#342932
#342622
C4×#5482