Finite Group Databasebeta

← #7630717

Subgroups — #7630717

Order 512.

5058 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35963C212yesmaximal, complemented
2#35951C214yesmaximal, complemented
3#35950C212yesmaximal, complemented
4#35934C212yesmaximal, complemented
5#35862C214yesmaximal, complemented
6#35858C212yesmaximal, complemented
7#35839C214yesmaximal, complemented
8#35836C212yesmaximal
9#35788C212yesmaximal, complemented
10#35779C214yesmaximal, complemented
11#35776C212yesmaximal
12#35708C212yesmaximal, complemented
13#35213C211yesmaximal, characteristic, complemented
14#35202C211yesmaximal, characteristic, complemented
15#35176C212yesmaximal, complemented
16#35175C212yesmaximal, complemented
17#35079C212yesmaximal, complemented
18#35065C212yesmaximal, complemented
19#35018C214yesmaximal, complemented
20#35017C214yesmaximal, complemented
21#34644C211yesmaximal, characteristic, complemented
22#34625C211yesmaximal, characteristic, complemented
23#34578C212yesmaximal, complemented
24C2×#2667C212yesmaximal, complemented
25#34333C212yesmaximal, complemented
26#34332C212yesmaximal, complemented
27#34194C211yesmaximal, characteristic
28#34190C211yesmaximal, characteristic
29C4×#518C211yesmaximal, characteristic
30C2×#554C2212yes—
31C2×#554C2212yes—
32C2×#518C2212yes—
33C22×C4×D4C2211yescharacteristic
34#2864C2212yescomplemented
35#2863C2214yescomplemented
36#2859C2212yescomplemented
37#2857C2214yescomplemented
38#2855C2214yescomplemented
39#2855C2214yescomplemented
40#2851C2214yescomplemented
41#2667C2212yes—
42#2667C2212yes—
43#2667C2211yescharacteristic
44#2667C2212yes—
45#2667C2214yes—
46#2667C2212yes—
47#2667C2214yes—
48#2667C2211yescharacteristic
49#2667C2212yes—
50#2667C2214yescomplemented
51#2667C2214yescomplemented
52#2667C2214yescomplemented
53#2667C2214yescomplemented
54#2667C2214yescomplemented
55#2666C2212yescomplemented
56#2666C2214yescomplemented
57#2666C2212yescomplemented
58#2666C2212yescomplemented
59#2666C2212yescomplemented
60#2665C2211yescharacteristic
61#2665C2212yes—
62#2665C2211yescharacteristic
63#2665C2212yes—
64#2665C2212yes—
65#2665C2214yescomplemented
66#2660C2212yescomplemented
67#2659C2214yescomplemented
68#2647C2212yescomplemented
69#2646C2214yescomplemented
70#2629C2212yes—
71#2628C2212yes—
72#2626C2214yes—
73#2626C2214yes—
74#2612C2214yescomplemented
75#2608C2214yes—
76#2608C2212yes—
77#2607C2212yes—
78#2607C2214yes—
79#2606C2214yescomplemented
80#2590C2214yescomplemented
81#2589C2214yescomplemented
82#2589C2214yescomplemented
83#2588C2214yescomplemented
84#2587C2214yescomplemented
85#2587C2214yescomplemented
86#2585C2214yescomplemented
87#2585C2214yescomplemented
88#2584C2212yescomplemented
89#2583C2214yescomplemented
90#2580C2212yes—
91#2579C2214yes—
92#2574C2214yescomplemented
93#2570C2212yescomplemented
94#2569C2214yescomplemented
95#2569C2214yescomplemented
96#2566C2212yes—
97#2564C2214yes—
98#2556C2214yescomplemented
99#2556C2214yescomplemented
100#2556C2214yescomplemented
101#2552C2212yescomplemented
102#2552C2212yescomplemented
103#2552C2212yescomplemented
104#2550C2212yescomplemented
105#2550C2212yescomplemented
106#2549C2214yescomplemented
107#2549C2214yescomplemented
108#2549C2214yescomplemented
109#2546C2212yescomplemented
110#2542C2212yes—
111#2538C2212yes—
112#2522C2214yescomplemented
113#2522C2214yescomplemented
114#2522C2214yescomplemented
115#2520C2214yescomplemented
116#2508C2212yescomplemented
117#2507C2212yescomplemented
118#2507C2212yescomplemented
119#2507C2214yescomplemented
120#2506C2212yescomplemented
121#2505C2214yescomplemented
122#2502C2214yescomplemented
123#2497C2214yescomplemented
124#2487C2214yes—
125#2473C2214yescomplemented
126#2473C2214yescomplemented
127#2473C2214yescomplemented
128#2465C2214yescomplemented
129#2462C2214yescomplemented
130#2454C2212yes—
131#2454C2212yes—
132#2454C2212yes—
133#2452C2212yes—
134#2451C2214yescomplemented
135#2450C2214yes—
136#2449C2214yes—
137#2449C2214yes—
138#2449C2214yes—
139#2442C2214yescomplemented
140#2441C2214yes—
141#2441C2212yes—
142#2441C2212yes—
143#2441C2214yes—
144#2441C2212yes—
145#2440C2214yescomplemented
146#2440C2214yescomplemented
147#2439C2214yes—
148#2439C2212yes—
149#2438C2214yescomplemented
150#2438C2214yescomplemented
151#2437C2214yes—
152#2437C2214yes—
153#2437C2214yes—
154#2437C2214yes—
155#2429C2214yescomplemented
156#2423C2214yescomplemented
157#2423C2214yescomplemented
158#2417C2214yes—
159#2402C2212yescomplemented
160#2402C2212yescomplemented
161#2399C2212yescomplemented
162#2399C2212yescomplemented
163#2396C2214yes—
164#2396C2214yes—
165#2396C2214yes—
166#2396C2212yes—
167#2396C2212yes—
168#2396C2214yescomplemented
169#2396C2214yescomplemented
170C2×#399C2214yes—
171C2×#398C2214yescomplemented
172C2×#398C2214yescomplemented
173C2×#396C2214yes—
174#2370C2212yescomplemented
175#2370C2212yescomplemented
176#2370C2212yescomplemented
177#2370C2212yescomplemented
178#2369C2212yescomplemented
179#2368C2214yescomplemented
180#2368C2214yescomplemented
181#2365C2212yescomplemented
182#2360C2214yescomplemented
183#2360C2214yescomplemented
184#2360C2214yescomplemented
185#2360C2214yescomplemented
186#2357C2212yes—
187#2355C2212yescomplemented
188#2354C2212yes—
189#2353C2214yes—
190#2352C2214yes—
191Q8×C4⋊C4C2212yescomplemented
192#2349C2212yes—
193#2349C2212yes—
194#2349C2212yes—
195D4×C4⋊C4C2212yes—
196D4×C4⋊C4C2212yes—
197D4×C4⋊C4C2212yes—
198D4×C4⋊C4C2212yes—
199D4×C4⋊C4C2212yes—
200#2345C2211yescharacteristic
201#2345C2211yescharacteristic
202#2345C2214yescomplemented
203#2345C2214yescomplemented
204#2344C2212yes—
205#2342C2214yes—
206#2342C2212yes—
207#2342C2212yes—
208D4×C22⋊C4C2212yes—
209D4×C22⋊C4C2211yescharacteristic
210D4×C22⋊C4C2211yescharacteristic
211#2331C2212yescomplemented
212#2330C2212yescomplemented
213#2330C2212yescomplemented
214#2330C2212yescomplemented
215#2329C2214yescomplemented
216#2329C2214yescomplemented
217#2329C2214yescomplemented
218#2329C2214yescomplemented
219#2319C2211yescharacteristic
220#2319C2212yes—
221#2319C2211yescharacteristic
222#2318C2212yes—
223#2318C2212yes—
224#2318C2214yes—
225C4×C4⋊Q8C2212yescomplemented
226C4×#125C2212yescomplemented
227C4×C22⋊Q8C2214yescomplemented
228C4×C22⋊Q8C2214yescomplemented
229#2295C2212yescomplemented
230#2295C2212yescomplemented
231C2×#389C2214yescomplemented
232C2×#387C2214yescomplemented
233#2285C2211yescharacteristic
234#2283C2211yescharacteristic
235#2283C2211yescharacteristic
236#2283C2211yescharacteristic
237#2280C2212yes—
238#2280C2212yes—
239C2×#381C2212yes—
240C2×#380C2212yes—
241#2275C2211yescharacteristic
242#2275C2212yes—
243#2275C2211yescharacteristic
244#2275C2212yes—
245#2275C2211yescharacteristic
246#2275C2211yescharacteristic
247#2275C2211yescharacteristic
248#2275C2212yes—
249#2275C2211yescharacteristic
250#2274C2212yes—
251#2273C2214yes—
252C42×D4C2212yes—
253C42×D4C2212yes—
254C42×D4C2214yes—
255C4×#117C2211yescharacteristic
256C4×#117C2211yescharacteristic
257C2×C4×C22⋊C4C2212yes—
258C2×C4×C22⋊C4C2212yes—
259C23×D4C2311yescharacteristic
260C24×C4C2312yes—
261#554—216no—
262#554—216no—
263C2×C4⋊Q8C2312yes—
264C2×C4⋊Q8C2312yes—
265C2×C4⋊Q8C2314yes—
266C2×#125C2312yes—
267C2×#125C2312yes—
268C2×#125C2312yes—
269C2×#125C2312yes—
270C2×#125C2314yes—
271C2×#125C2314yes—
272C2×C22⋊Q8C2314yes—
273C2×C22⋊Q8C2314yes—
274C2×C22⋊Q8C2314yes—
275C2×C22⋊Q8C2314yes—
276C2×C22⋊Q8C2314yes—
277C2×C22⋊Q8C2314yes—
278C2×C22⋊Q8C2314yes—
279C2×C22⋊Q8C2314yes—
280C2×C22⋊Q8C2314yes—
281C2×C22⋊Q8C2314yes—
282#518—216no—
283C2×C4×Q8C2312yes—
284C2×C4×Q8C2312yes—
285C2×C4×Q8C2314yes—
286C2×C4×Q8C2314yes—
287C2×C4×Q8C2314yes—
288C2×C4×D4Q8116yescomplemented
289C2×C4×D4C2314yes—
290C2×C4×D4C2312yes—
291C2×C4×D4C2312yes—
292C2×C4×D4C2312yes—
293C2×C4×D4C2312yes—
294C2×C4×D4C2312yes—
295C2×C4×D4C2312yes—
296C2×C4×D4C2314yes—
297C2×C4×D4C2312yes—
298C2×C4×D4C2312yes—
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2312yes—
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2312yes—
305C2×#117C2312yes—
306C2×#117C2312yes—
307C2×#117C2312yes—
308C2×#117C2314yes—
309C2×#117C2314yes—
310C22×C4⋊C4C2314yes—
311C22×C4⋊C4C2314yes—
312C22×C4⋊C4C2314yes—
313C22×C4⋊C4C2314yes—
314C22×C4⋊C4C2314yes—
315C22×C4⋊C4C2314yes—
316C22×C4⋊C4C2314yes—
317C22×C4⋊C4C2311yescharacteristic
318C22×C22⋊C4C2314yes—
319C22×C22⋊C4C2314yes—
320C22×C22⋊C4C2312yes—
321C22×C22⋊C4C2314yes—
322C22×C22⋊C4C2312yes—
323C22×C22⋊C4C2312yes—
324C22×C42C2314yes—
325C22×C42C2314yes—
326C22×C42C2311yescharacteristic
327#400C2314yes—
328#400C2314yes—
329#400C2312yes—
330#400C2314yes—
331#400C2312yes—
332#400C2312yes—
333#400C2314yes—
334#400C2312yes—
335#400C2314yes—
336#400C2314yes—
337#400C2312yes—
338#400C2312yes—
339#399C2314yes—
340#399C2314yes—
341#399C2314yes—
342#399C2314yes—
343#399C2312yes—
344#399C2314yes—
345#399C2314yes—
346#399C2314yes—
347#399C2314yes—
348#399C2314yes—
349#399C2314yes—
350#399C2312yes—
351#398C2312yes—
352#398C2314yes—
353#398C2314yes—
354#398C2314yes—
355#398C2314yes—
356#398C2314yes—
357#398C2312yes—
358#398C2314yes—
359#398C2314yes—
360#398C2314yes—
361#398C2314yes—
362#398C2312yes—
363#398C2314yes—
364#398C2314yes—
365#398C2314yes—
366#398C2314yes—
367#398C2314yes—
368#398C2312yes—
369#398C2314yes—
370#398C2312yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2312yes—
379#398C2312yes—
380#398C2314yes—
381#398C2314yes—
382#398C2312yes—
383#398C2312yes—
384#398C2312yes—
385#398C2312yes—
386#398C2312yes—
387#396C2314yes—
388#396C2314yes—
389#396C2314yes—
390#396C2314yes—
391#396C2314yes—
392#396C2314yes—
393#396C2314yes—
394#396C2312yes—
395#396C2314yes—
396#396C2314yes—
397#396C2314yes—
398#396C2312yes—
399#396C2314yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2312yes—
404#396C2312yes—
405#395C2312yes—
406#395C2314yes—
407#395C2312yes—
408#395C2314yes—
409#395C2314yes—
410#395C2314yes—
411#395C2314yes—
412#395C2312yes—
413#395C2312yes—
414#395C2314yes—
415#395C2312yes—
416#395C2312yes—
417#393C2314yes—
418#393C2314yes—
419#393C2314yes—
420#393C2314yes—
421#393C2312yes—
422#393C2312yes—
423#391C2314yes—
424#391C2312yes—
425#391C2312yes—
426#391C2314yes—
427#391C2314yes—
428#391C2314yes—
429#391C2314yes—
430#391C2314yes—
431#391C2314yes—
432#391C2314yes—
433#391C2314yes—
434#391C2314yes—
435#391C2314yes—
436#391C2312yes—
437#391C2312yes—
438#390C2312yes—
439#390C2312yes—
440#390C2312yes—
441#390C2312yes—
442#389C2312yes—
443#389C2312yes—
444#389C2312yes—
445#389C2312yes—
446#389C2314yes—
447#389C2312yes—
448#389C2312yes—
449#389C2312yes—
450#389C2312yes—
451#389C2312yes—
452#389C2312yes—
453#389C2312yes—
454#389C2314yes—
455#389C2314yes—
456#389C2314yes—
457#389C2314yes—
458#389C2312yes—
459#389C2312yes—
460#389C2314yes—
461#389C2314yes—
462#389C2312yes—
463#389C2314yes—
464#389C2314yes—
465#389C2314yes—
466#389C2314yes—
467#389C2314yes—
468#389C2314yes—
469#389C2314yes—
470#389C2314yes—
471#389C2314yes—
472#389C2314yes—
473#389C2314yes—
474#389C2314yes—
475#389C2314yes—
476#389C2314yes—
477#389C2314yes—
478#389C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2314yes—
482#389C2312yes—
483#389C2314yes—
484#389C2314yes—
485#389C2312yes—
486#389C2314yes—
487#389C2314yes—
488#389C2312yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#387C2314yes—
498#387C2314yes—
499#387C2314yes—
500#387C2314yes—
501#387C2314yes—
502#387C2314yes—
503#387C2314yes—
504#387C2314yes—
505#387C2314yes—
506#387C2314yes—
507#387C2314yes—
508#387C2314yes—
509#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#387C2312yes—
520#387C2312yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2312yes—
532#387C2314yes—
533#387C2312yes—
534#387C2314yes—
535#387C2312yes—
536#387C2314yes—
537#387C2312yes—
538#387C2314yes—
539#387C2312yes—
540#387C2312yes—
541#386C2314yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yes—
545#385C2314yes—
546#385C2314yes—
547#385C2314yes—
548#385C2314yes—
549#385C2314yes—
550#385C2314yes—
551#385C2314yes—
552#385C2314yes—
553#385C2314yes—
554#385C2314yes—
555#385C2314yes—
556#385C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#384C2312yes—
570#384C2312yes—
571#384C2312yes—
572#384C2312yes—
573#384C2314yes—
574#384C2314yes—
575#384C2312yes—
576#383C2312yes—
577#383C2312yes—
578#383C2312yes—
579#382C2312yes—
580#382C2312yes—
581#382C2312yes—
582#382C2311yescharacteristic
583#382C2312yes—
584#382C2311yescharacteristic
585#382C2314yes—
586#382C2312yes—
587#381C2314yes—
588#381C2312yes—
589#381C2312yes—
590#381C2311yescharacteristic
591#381C2311yescharacteristic
592#381C2314yes—
593#381C2314yes—
594#381C2312yes—
595#381C2311yescharacteristic
596#381C2311yescharacteristic
597#380C2314yes—
598#380C2314yes—
599#380C2314yes—
600#380C2314yes—
601#380C2314yes—
602#380C2314yes—
603#380C2314yes—
604#380C2312yes—
605#380C2314yes—
606#380C2312yes—
607#380C2314yes—
608#380C2314yes—
609#380C2314yes—
610#380C2312yes—
611#380C2311yescharacteristic
612#380C2311yescharacteristic
613#380C2312yes—
614#380C2312yes—
615#380C2312yes—
616#380C2314yes—
617#380C2314yes—
618#380C2314yes—
619#380C2311yescharacteristic
620#380C2311yescharacteristic
621#380C2312yes—
622#379C2312yes—
623#379C2312yes—
624#379C2314yes—
625C4×C4⋊C4C2311yescharacteristic
626C4×C4⋊C4C2312yes—
627C4×C4⋊C4C2314yes—
628C4×C4⋊C4C2314yes—
629C4×C4⋊C4C2311yescharacteristic
630C4×C4⋊C4C2314yes—
631C4×C4⋊C4C2312yes—
632C4×C4⋊C4C2311yescharacteristic
633C4×C4⋊C4C2312yes—
634C4×C4⋊C4C2312yes—
635C4×C4⋊C4C2314yes—
636C4×C4⋊C4C2314yes—
637C4×C4⋊C4C2314yes—
638C4×C4⋊C4C2312yes—
639C4×C4⋊C4C2314yes—
640C4×C4⋊C4C2314yes—
641C4×C4⋊C4C2314yes—
642C4×C4⋊C4C2312yes—
643C4×C4⋊C4C2312yes—
644C4×C4⋊C4C2312yes—
645C4×C4⋊C4C2312yes—
646C4×C4⋊C4C2314yes—
647C4×C4⋊C4C2312yes—
648C4×C4⋊C4C2312yes—
649C4×C4⋊C4C2312yes—
650C4×C4⋊C4C2312yes—
651C4×C4⋊C4C2312yes—
652C4×C4⋊C4C2312yes—
653C4×C4⋊C4C2312yes—
654C4×C4⋊C4C2312yes—
655C4×C4⋊C4C2312yes—
656C4×C4⋊C4C2314yes—
657C4×C4⋊C4C2311yescharacteristic
658C4×C4⋊C4C2311yescharacteristic
659C4×C4⋊C4C2312yes—
660C4×C4⋊C4C2312yes—
661C4×C4⋊C4C2311yescharacteristic
662C4×C22⋊C4C2312yes—
663C4×C22⋊C4C2314yes—
664C4×C22⋊C4C2314yes—
665C4×C22⋊C4C2312yes—
666C4×C22⋊C4C2312yes—
667C4×C22⋊C4C2314yes—
668C4×C22⋊C4C2314yes—
669C4×C22⋊C4C2314yes—
670C4×C22⋊C4C2314yes—
671C4×C22⋊C4C2314yes—
672C4×C22⋊C4C2312yes—
673C4×C22⋊C4C2311yescharacteristic
674C4×C22⋊C4C2311yescharacteristic
675C4×C22⋊C4C2312yes—
676C4×C22⋊C4C2312yes—
677C4×C22⋊C4C2312yes—
678C4×C22⋊C4C2314yes—
679C4×C22⋊C4C2314yes—
680C4×C22⋊C4C2314yes—
681C4×C22⋊C4C2314yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2312yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2312yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2311yescharacteristic
691C4×C22⋊C4C2311yescharacteristic
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697#376C2311yescharacteristic
698#376C2311yescharacteristic
699#376C2312yes—
700#376C2312yes—
701#376C2312yes—
702#376C2311yescharacteristic
703#376C2311yescharacteristic
704C2×#95C2314yes—
705C2×#95C2312yes—
706C2×#95C2314yes—
707C2×#95C2314yes—
708C2×#95C2312yes—
709C2×#95C2312yes—
710C2×#95C2314yes—
711C2×#95C2312yes—
712C2×#95C2312yes—
713C2×#95C2312yes—
714C43C2312yes—
715C43C2312yes—
716C25C2412yes—
717C22×Q8C2412yes—
718C22×Q8C2412yes—
719C22×Q8C2414yes—
720C22×Q8C2414yes—
721C22×D4—28no—
722C22×D4C2×Q818yes—
723C22×D4C2412yes—
724C22×D4C2411yescharacteristic
725C22×D4C2411yescharacteristic
726C23×C4—84no—
727C23×C4C2×Q8116yes—
728C23×C4C2411yescharacteristic
729C23×C4C2414yes—
730C23×C4C2414yes—
731C23×C4C2414yes—
732C23×C4C2414yes—
733C23×C4C2414yes—
734C23×C4C2414yes—
735C23×C4C2414yes—
736C23×C4C2411yescharacteristic
737C23×C4C2412yes—
738C23×C4C2412yes—
739C23×C4C2412yes—
740C23×C4C2412yes—
741C23×C4C2412yes—
742C23×C4C2411yescharacteristic
743C23×C4C2414yes—
744C4⋊Q8—28no—
745C4⋊Q8—28no—
746C4⋊Q8—84no—
747#125—28no—
748#125—28no—
749#125—28no—
750#125—28no—
751#125—84no—
752#125—84no—
753C22⋊Q8—216no—
754C22⋊Q8—216no—
755C22⋊Q8—216no—
756C22⋊Q8—216no—
757C22⋊Q8—216no—
758C22⋊Q8—216no—
759C22⋊Q8—84no—
760C22⋊Q8—84no—
761C22⋊Q8—84no—
762C22⋊Q8—84no—
763C4×Q8—28no—
764C4×Q8—28no—
765C4×Q8—84no—
766C4×Q8—84no—
767C4×Q8—84no—
768C4×D4—28no—
769C4×D4—28no—
770C4×D4—28no—
771C4×D4—28no—
772C4×D4—28no—
773C4×D4—216no—
774C4×D4—28no—
775C4×D4—216no—
776C4×D4—28no—
777C4×D4C2×Q8116yes—
778C4×D4C2×Q818yes—
779C4×D4C2×Q8116yes—
780C4×D4C2×Q818yes—
781C4×D4C2×Q818yes—
782C4×D4C2×Q818yes—
783C4×D4#41116yes—
784#117—28no—
785#117—28no—
786#117—82no—
787#117—84no—
788#117—84no—
789C2×C4⋊C4—216no—
790C2×C4⋊C4—216no—
791C2×C4⋊C4—84no—
792C2×C4⋊C4—84no—
793C2×C4⋊C4—84no—
794C2×C4⋊C4—84no—
795C2×C4⋊C4—84no—
796C2×C4⋊C4C2×Q818yes—
797C2×C4⋊C4C2412yes—
798C2×C4⋊C4C2412yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2412yes—
806C2×C4⋊C4C2412yes—
807C2×C4⋊C4C2412yes—
808C2×C4⋊C4C2412yes—
809C2×C4⋊C4C2412yes—
810C2×C4⋊C4C2412yes—
811C2×C4⋊C4C2412yes—
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2412yes—
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2412yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2411yescharacteristic
865C2×C4⋊C4C2412yes—
866C2×C22⋊C4—216no—
867C2×C22⋊C4—216no—
868C2×C22⋊C4—82no—
869C2×C22⋊C4—82no—
870C2×C22⋊C4—84no—
871C2×C22⋊C4C2×Q8116yes—
872C2×C22⋊C4C2412yes—
873C2×C22⋊C4C2412yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2411yescharacteristic
883C2×C22⋊C4C2411yescharacteristic
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2411yescharacteristic
897C2×C22⋊C4C2411yescharacteristic
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2414yes—
904C2×C42—84no—
905C2×C42—84no—
906C2×C42C2×Q818yes—
907C2×C42C2412yes—
908C2×C42C2414yes—
909C2×C42C2412yes—
910C2×C42C2412yes—
911C2×C42C2412yes—
912C2×C42C2412yes—
913C2×C42C2414yes—
914C2×C42C2414yes—
915C2×C42C2414yes—
916C2×C42C2414yes—
917C2×C42C2414yes—
918C2×C42C2412yes—
919C2×C42C2412yes—
920C2×C42C2414yes—
921C2×C42C2414yes—
922C2×C42C2412yes—
923C2×C42C2414yes—
924C2×C42C2414yes—
925C2×C42C2412yes—
926C2×C42C2412yes—
927C2×C42C2412yes—
928C2×C42C2414yes—
929C2×C42C2412yes—
930C2×C42C2412yes—
931C2×C42C2411yescharacteristic
932C2×C42C2411yescharacteristic
933C2×C42C2411yescharacteristic
934C2×C42C2411yescharacteristic
935C2×C42C2412yes—
936#95C2411yescharacteristic
937#95C2412yes—
938#95C2411yescharacteristic
939#95C2411yescharacteristic
940#95C2412yes—
941#95C2411yescharacteristic
942#95C2412yes—
943#95C2411yescharacteristic
944#95C2411yescharacteristic
945#95C2412yes—
946#95C2412yes—
947#95C2412yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2412yes—
957#95C2412yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2412yes—
970#95C2412yes—
971#95C2411yescharacteristic
972#95C2411yescharacteristic
973#95C2412yes—
974#95C2412yes—
975#95C2412yes—
976#95C2412yes—
977#95C2412yes—
978#95C2414yes—
979#95C2412yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2412yes—
984#95C2412yes—
985#95C2412yes—
986#95C2412yes—
987#95C2412yes—
988#95C2412yes—
989#95C2412yes—
990#95C2412yes—
991#95C2412yes—
992#95C2414yes—
993#95C2412yes—
994#95C2414yes—
995#95C2414yes—
996#95C2412yes—
997#95C2414yes—
998#95C2414yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2412yes—
1011C24—28no—
1012C24—42no—
1013C24—44no—
1014C24—42no—
1015C24C22×Q818yes—
1016C24C2511yescharacteristic
1017C24C2512yes—
1018C24C2512yes—
1019C2×Q8—24no—
1020C2×Q8—24no—
1021C2×Q8—28no—
1022C2×Q8—28no—
1023C2×Q8—42no—
1024C2×Q8—42no—
1025C2×Q8—44no—
1026C2×Q8—44no—
1027C2×Q8—42no—
1028C2×Q8—44no—
1029C2×Q8—42no—
1030C2×Q8—44no—
1031C2×D4—28no—
1032C2×D4—232no—
1033C2×D4—24no—
1034C2×D4C22×Q818yes—
1035C2×D4C22×Q814yes—
1036C2×D4C22×Q814yes—
1037C2×D4C2×#4118yes—
1038C22×C4—24no—
1039C22×C4—28no—
1040C22×C4—28no—
1041C22×C4—28no—
1042C22×C4—28no—
1043C22×C4—28no—
1044C22×C4—28no—
1045C22×C4—28no—
1046C22×C4—44no—
1047C22×C4—44no—
1048C22×C4—44no—
1049C22×C4—44no—
1050C22×C4—41no—
1051C22×C4—44no—
1052C22×C4—44no—
1053C22×C4—42no—
1054C22×C4—41no—
1055C22×C4—44no—
1056C22×C4—44no—
1057C22×C4—44no—
1058C22×C4—44no—
1059C22×C4—44no—
1060C22×C4—44no—
1061C22×C4—44no—
1062C22×C4—44no—
1063C22×C4—44no—
1064C22×C4—44no—
1065C22×C4—44no—
1066C22×C4—44no—
1067C22×C4—44no—
1068C22×C4—44no—
1069C22×C4—44no—
1070C22×C4—816no—
1071C22×C4C22×Q814yes—
1072C22×C4C22×Q814yes—
1073C22×C4C22×Q814yes—
1074C22×C4C22×Q818yes—
1075C22×C4C22×Q818yes—
1076C22×C4C22×Q818yes—
1077C22×C4C22×Q818yes—
1078C22×C4C22×Q818yes—
1079C22×C4C2×#41116yes—
1080C22×C4C2512yes—
1081C22×C4C2512yes—
1082C22×C4C2514yes—
1083C22×C4C2512yes—
1084C22×C4C2512yes—
1085C22×C4C2512yes—
1086C22×C4C2512yes—
1087C22×C4C2512yes—
1088C22×C4C2514yes—
1089C22×C4C2514yes—
1090C22×C4C2514yes—
1091C22×C4C2512yes—
1092C22×C4C2512yes—
1093C22×C4C2512yes—
1094C22×C4C2514yes—
1095C22×C4C2511yescharacteristic
1096C22×C4C2511yescharacteristic
1097C22×C4C2511yescharacteristic
1098C22×C4C2511yescharacteristic
1099C22×C4C2512yes—
1100C22×C4C2511yescharacteristic
1101C22×C4C2512yes—
1102C22×C4C2514yes—
1103C22×C4C2512yes—
1104C22×C4C2512yes—
1105C22×C4C2511yescharacteristic
1106C4⋊C4—24no—
1107C4⋊C4—24no—
1108C4⋊C4—28no—
1109C4⋊C4—28no—
1110C4⋊C4—28no—
1111C4⋊C4—28no—
1112C4⋊C4—28no—
1113C4⋊C4—28no—
1114C4⋊C4—24no—
1115C4⋊C4—24no—
1116C4⋊C4—24no—
1117C4⋊C4—24no—
1118C4⋊C4—24no—
1119C4⋊C4—24no—
1120C4⋊C4—24no—
1121C4⋊C4—24no—
1122C4⋊C4—24no—
1123C4⋊C4—24no—
1124C4⋊C4—24no—
1125C4⋊C4—28no—
1126C4⋊C4—28no—
1127C4⋊C4—28no—
1128C4⋊C4—28no—
1129C4⋊C4—42no—
1130C4⋊C4—42no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—44no—
1135C4⋊C4—44no—
1136C4⋊C4—44no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—44no—
1140C4⋊C4—44no—
1141C4⋊C4—44no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—42no—
1150C4⋊C4—44no—
1151C4⋊C4—42no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—42no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—42no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—42no—
1164C4⋊C4—42no—
1165C4⋊C4—42no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—42no—
1170C4⋊C4—42no—
1171C4⋊C4C22×Q818yes—
1172C4⋊C4C22×Q814yes—
1173C4⋊C4C22×Q814yes—
1174C4⋊C4C2×#4118yes—
1175C22⋊C4—28no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—28no—
1180C22⋊C4—28no—
1181C22⋊C4—24no—
1182C22⋊C4—24no—
1183C22⋊C4—28no—
1184C22⋊C4—28no—
1185C22⋊C4—41no—
1186C22⋊C4—42no—
1187C22⋊C4—41no—
1188C22⋊C4—42no—
1189C22⋊C4—42no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—42no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4C22×Q818yes—
1203C22⋊C4C22×Q818yes—
1204C22⋊C4C22×Q818yes—
1205C22⋊C4C22×Q818yes—
1206C22⋊C4C2×#41116yes—
1207C42—28no—
1208C42—24no—
1209C42—24no—
1210C42—24no—
1211C42—24no—
1212C42—24no—
1213C42—42no—
1214C42—44no—
1215C42—42no—
1216C42—44no—
1217C42—44no—
1218C42—44no—
1219C42—44no—
1220C42—42no—
1221C42—42no—
1222C42—42no—
1223C42—44no—
1224C42—44no—
1225C42—44no—
1226C42—44no—
1227C42—44no—
1228C42—42no—
1229C42—42no—
1230C42—42no—
1231C42C22×Q814yes—
1232C42C22×Q814yes—
1233C42C22×Q814yes—
1234C42C22×Q814yes—
1235C42C2×#4118yes—
1236C23—24no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—24no—
1241C23—22no—
1242C23—21no—
1243C23—24no—
1244C23—22no—
1245C23—22no—
1246C23—21no—
1247C23—216no—
1248C23—48no—
1249C23—48no—
1250C23—88no—
1251C23—88no—
1252C23C23×Q814yes—
1253C23C23×Q812yes—
1254C23C23×Q814yes—
1255C23C22×#4118yes—
1256C23C2611yescharacteristic
1257Q8—48no—
1258Q8—88no—
1259Q8—84no—
1260Q8—88no—
1261D4—216no—
1262D4—28no—
1263D4#533116yes—
1264C2×C4—22no—
1265C2×C4—21no—
1266C2×C4—24no—
1267C2×C4—22no—
1268C2×C4—22no—
1269C2×C4—24no—
1270C2×C4—22no—
1271C2×C4—21no—
1272C2×C4—24no—
1273C2×C4—22no—
1274C2×C4—22no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—22no—
1278C2×C4—24no—
1279C2×C4—28no—
1280C2×C4—22no—
1281C2×C4—24no—
1282C2×C4—22no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—24no—
1292C2×C4—24no—
1293C2×C4—24no—
1294C2×C4—24no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—24no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—24no—
1303C2×C4—24no—
1304C2×C4—24no—
1305C2×C4—24no—
1306C2×C4—24no—
1307C2×C4—24no—
1308C2×C4—24no—
1309C2×C4—22no—
1310C2×C4—24no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—24no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—44no—
1326C2×C4—48no—
1327C2×C4—48no—
1328C2×C4—48no—
1329C2×C4—48no—
1330C2×C4—48no—
1331C2×C4—44no—
1332C2×C4—416no—
1333C2×C4—88no—
1334C2×C4—88no—
1335C2×C4—88no—
1336C2×C4—88no—
1337C2×C4—88no—
1338C2×C4—88no—
1339C2×C4—88no—
1340C2×C4C23×Q812yes—
1341C2×C4C23×Q812yes—
1342C2×C4C23×Q812yes—
1343C2×C4C23×Q812yes—
1344C2×C4C23×Q812yes—
1345C2×C4C23×Q814yes—
1346C2×C4C23×Q814yes—
1347C2×C4C23×Q812yes—
1348C2×C4C22×#4118yes—
1349C2×C4C22×#4114yes—
1350C2×C4C22×#4114yes—
1351C2×C4C22×#4114yes—
1352C22—24no—
1353C22—28no—
1354C22—24no—
1355C22—28no—
1356C22—22no—
1357C22—24no—
1358C22—22no—
1359C22—24no—
1360C22—22no—
1361C22—24no—
1362C22—44no—
1363C22—42no—
1364C22—44no—
1365C22—42no—
1366C22—816no—
1367C22C2×#53318yes—
1368C22C24×Q811yescharacteristic
1369C22C23×#4112yes—
1370C22H(7,𝔽2)12yes—
1371C22H(7,𝔽2)11yescharacteristic
1372C222−1+611yescharacteristic
1373C4—22no—
1374C4—22no—
1375C4—24no—
1376C4—24no—
1377C4—24no—
1378C4—28no—
1379C4—22no—
1380C4—22no—
1381C4—24no—
1382C4—22no—
1383C4—42no—
1384C4—42no—
1385C4—44no—
1386C4—42no—
1387C4—42no—
1388C4—42no—
1389C4—44no—
1390C4—44no—
1391C4—42no—
1392C4—42no—
1393C4—42no—
1394C4—42no—
1395C4—44no—
1396C4—44no—
1397C4—42no—
1398C4C2×#53314yes—
1399C2—28no—
1400C2—44no—
1401C2—42no—
1402C2C22×#53311yescharacteristic
1403C2#6284311yescharacteristic
1404C2#6284712yes—
1405C2#6285411yescharacteristic
1406C2#6285812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35963C2semidirect
2. #35951C2semidirect
3. #35950C2semidirect
4. #35934C2semidirect
5. #35862C2semidirect
6. #35858C2semidirect
7. #35839C2semidirect
9. #35788C2semidirect
10. #35779C2semidirect
12. #35708C2semidirect
13. #35213C2semidirect
14. #35202C2semidirect
15. #35176C2semidirect
16. #35175C2semidirect
17. #35079C2semidirect
18. #35065C2semidirect
19. #35018C2semidirect
20. #35017C2semidirect
21. #34644C2semidirect
22. #34625C2semidirect
23. #34578C2semidirect
24. C2×#2667C2semidirect
25. #34333C2semidirect
26. #34332C2semidirect
34. #2864C22semidirect
35. #2863C22semidirect
36. #2859C22semidirect
37. #2857C22semidirect
38. #2855C22semidirect
39. #2855C22semidirect
40. #2851C22semidirect
50. #2667C22semidirect
51. #2667C22semidirect
52. #2667C22semidirect
53. #2667C22semidirect
54. #2667C22semidirect
55. #2666C22semidirect
56. #2666C22semidirect
57. #2666C22semidirect
58. #2666C22semidirect
59. #2666C22semidirect
65. #2665C22semidirect
66. #2660C22semidirect
67. #2659C22semidirect
68. #2647C22semidirect
69. #2646C22semidirect
74. #2612C22semidirect
79. #2606C22semidirect
80. #2590C22semidirect
81. #2589C22semidirect
82. #2589C22semidirect
83. #2588C22semidirect
84. #2587C22semidirect
85. #2587C22semidirect
86. #2585C22semidirect
87. #2585C22semidirect
88. #2584C22semidirect
89. #2583C22semidirect
92. #2574C22semidirect
93. #2570C22semidirect
94. #2569C22semidirect
95. #2569C22semidirect
98. #2556C22semidirect
99. #2556C22semidirect
100. #2556C22semidirect
101. #2552C22semidirect
102. #2552C22semidirect
103. #2552C22semidirect
104. #2550C22semidirect
105. #2550C22semidirect
106. #2549C22semidirect
107. #2549C22semidirect
108. #2549C22semidirect
109. #2546C22semidirect
112. #2522C22semidirect
113. #2522C22semidirect
114. #2522C22semidirect
115. #2520C22semidirect
116. #2508C22semidirect
117. #2507C22semidirect
118. #2507C22semidirect
119. #2507C22semidirect
120. #2506C22semidirect
121. #2505C22semidirect
122. #2502C22semidirect
123. #2497C22semidirect
125. #2473C22semidirect
126. #2473C22semidirect
127. #2473C22semidirect
128. #2465C22semidirect
129. #2462C22semidirect
134. #2451C22semidirect
139. #2442C22semidirect
145. #2440C22semidirect
146. #2440C22semidirect
149. #2438C22semidirect
150. #2438C22semidirect
155. #2429C22semidirect
156. #2423C22semidirect
157. #2423C22semidirect
159. #2402C22semidirect
160. #2402C22semidirect
161. #2399C22semidirect
162. #2399C22semidirect
168. #2396C22semidirect
169. #2396C22semidirect
171. C2×#398C22semidirect
172. C2×#398C22semidirect
174. #2370C22semidirect
175. #2370C22semidirect
176. #2370C22semidirect
177. #2370C22semidirect
178. #2369C22semidirect
179. #2368C22semidirect
180. #2368C22semidirect
181. #2365C22semidirect
182. #2360C22semidirect
183. #2360C22semidirect
184. #2360C22semidirect
185. #2360C22semidirect
187. #2355C22semidirect
191. Q8×C4⋊C4C22semidirect
202. #2345C22semidirect
203. #2345C22semidirect
211. #2331C22semidirect
212. #2330C22semidirect
213. #2330C22semidirect
214. #2330C22semidirect
215. #2329C22semidirect
216. #2329C22semidirect
217. #2329C22semidirect
218. #2329C22semidirect
225. C4×C4⋊Q8C22semidirect
226. C4×#125C22semidirect
227. C4×C22⋊Q8C22semidirect
228. C4×C22⋊Q8C22semidirect
229. #2295C22semidirect
230. #2295C22semidirect
231. C2×#389C22semidirect
232. C2×#387C22semidirect
288. C2×C4×D4Q8semidirect

Maximal subgroups

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

subgroupindex
#359632
#359512
#359502
#359342
#358622
#358582
#358392
#358362
#357882
#357792
#357762
#357082
#352132
#352022
#351762
#351752
#350792
#350652
#350182
#350172
#346442
#346252
#345782
C2×#26672
#343332
#343322
#341942
#341902
C4×#5182