Finite Group Databasebeta

← #7677262

Subgroups — #7677262

Order 512.

5042 conjugacy classes of subgroups.

The subgroup lattice has 1509 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59909C212yesmaximal, complemented
2#59833C212yesmaximal, complemented
3#59462C212yesmaximal, complemented
4#59462C212yesmaximal, complemented
5#59461C212yesmaximal, complemented
6#59460C212yesmaximal, complemented
7#59429C212yesmaximal, complemented
8#59413C212yesmaximal, complemented
9#44729C214yesmaximal, complemented
10#44681C214yesmaximal, complemented
11#44435C214yesmaximal, complemented
12#44233C214yesmaximal, complemented
13#39752C211yesmaximal, characteristic, complemented
14#39624C211yesmaximal, characteristic, complemented
15#38962C212yesmaximal
16#38959C214yesmaximal, complemented
17#37873C212yesmaximal, complemented
18#37685C212yesmaximal, complemented
19#36435C212yesmaximal, complemented
20#36154C211yesmaximal, characteristic
21D4×C22⋊Q8C211yesmaximal, characteristic
22#35402C214yesmaximal, complemented
23#35104C211yesmaximal, characteristic, complemented
24#35012C212yesmaximal, complemented
25#34966C212yesmaximal, complemented
26#34240C212yesmaximal
27#34212C212yesmaximal, complemented
28C2×#2367C211yesmaximal, characteristic
29C4×#544C211yesmaximal, characteristic, complemented
30C2×#557C2212yescomplemented
31C2×#554C2211yescharacteristic
32C2×D4×Q8C2211yescharacteristic
33C2×#544C2211yescharacteristic
34C22×#124C2211yescharacteristic
35C22×C22⋊Q8C2212yes—
36C22×C4×Q8C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38#2857C2211yescharacteristic
39#2857C2211yescharacteristic
40#2851C2212yes—
41#2851C2214yes—
42#2848C2212yes—
43#2848C2212yes—
44#2811C2212yescomplemented
45#2809C2212yescomplemented
46#2806C2212yescomplemented
47#2806C2214yescomplemented
48#2806C2212yescomplemented
49#2799C2214yescomplemented
50#2790C2214yescomplemented
51#2788C2214yescomplemented
52#2788C2214yescomplemented
53#2784C2214yes—
54#2780C2214yes—
55#2768C2214yescomplemented
56#2768C2214yescomplemented
57#2768C2214yescomplemented
58#2763C2214yescomplemented
59#2748C2214yes—
60#2742C2214yescomplemented
61#2742C2214yescomplemented
62#2729C2214yescomplemented
63#2720C2214yescomplemented
64#2720C2214yescomplemented
65#2704C2214yescomplemented
66#2704C2214yescomplemented
67#2704C2214yescomplemented
68#2692C2214yes—
69#2677C2214yescomplemented
70#2659C2212yes—
71#2659C2212yes—
72#2627C2212yes—
73#2627C2212yes—
74#2626C2214yes—
75#2606C2214yescomplemented
76#2606C2214yescomplemented
77#2605C2214yescomplemented
78#2605C2214yescomplemented
79#2589C2214yescomplemented
80#2589C2214yescomplemented
81#2589C2214yescomplemented
82#2587C2214yescomplemented
83#2587C2214yescomplemented
84#2587C2214yescomplemented
85#2583C2214yescomplemented
86#2582C2212yescomplemented
87#2581C2212yescomplemented
88#2581C2212yescomplemented
89#2581C2214yescomplemented
90#2580C2212yes—
91#2574C2214yescomplemented
92#2574C2214yescomplemented
93#2574C2214yescomplemented
94#2574C2214yescomplemented
95#2574C2214yescomplemented
96#2574C2214yescomplemented
97#2570C2212yescomplemented
98#2570C2212yescomplemented
99#2570C2212yescomplemented
100#2570C2212yescomplemented
101#2569C2214yes—
102#2567C2212yescomplemented
103#2566C2212yes—
104#2565C2212yescomplemented
105#2565C2212yescomplemented
106#2565C2214yescomplemented
107#2563C2212yes—
108#2563C2211yescharacteristic
109#2556C2214yescomplemented
110#2556C2214yescomplemented
111#2556C2214yescomplemented
112#2556C2214yescomplemented
113#2550C2212yescomplemented
114#2550C2212yescomplemented
115#2550C2212yescomplemented
116#2550C2212yescomplemented
117#2549C2214yes—
118#2549C2214yescomplemented
119#2542C2211yescharacteristic
120#2538C2211yescharacteristic
121#2538C2212yes—
122#2538C2211yescharacteristic
123#2522C2214yescomplemented
124#2522C2214yescomplemented
125#2522C2214yescomplemented
126#2522C2214yescomplemented
127#2522C2214yescomplemented
128#2505C2214yescomplemented
129#2497C2214yescomplemented
130#2497C2214yescomplemented
131#2492C2214yescomplemented
132#2487C2212yes—
133#2473C2214yescomplemented
134#2473C2214yescomplemented
135#2473C2214yescomplemented
136#2465C2214yescomplemented
137#2465C2214yescomplemented
138#2465C2214yescomplemented
139#2465C2214yescomplemented
140#2465C2214yescomplemented
141#2454C2212yes—
142#2454C2212yes—
143#2454C2212yes—
144#2454C2212yes—
145#2453C2212yescomplemented
146#2453C2212yescomplemented
147#2453C2214yescomplemented
148#2452C2212yes—
149#2452C2212yes—
150#2451C2212yescomplemented
151#2451C2212yescomplemented
152#2451C2212yescomplemented
153#2451C2212yescomplemented
154#2451C2214yescomplemented
155#2450C2214yes—
156#2449C2214yes—
157#2442C2212yes—
158#2442C2212yes—
159#2442C2214yes—
160#2440C2212yes—
161#2440C2214yes—
162#2440C2212yes—
163#2440C2214yescomplemented
164#2438C2214yes—
165#2438C2214yes—
166#2437C2214yes—
167#2437C2214yes—
168#2437C2214yes—
169#2437C2214yes—
170#2434C2214yescomplemented
171#2429C2214yescomplemented
172#2423C2214yescomplemented
173#2423C2214yescomplemented
174#2417C2212yes—
175#2417C2212yes—
176#2409C2212yes—
177#2402C2214yescomplemented
178#2399C2214yescomplemented
179#2372C2214yes—
180#2372C2214yes—
181#2368C2214yescomplemented
182#2368C2214yescomplemented
183#2367C2212yes—
184#2367C2212yes—
185#2367C2212yes—
186#2367C2212yes—
187#2367C2212yes—
188#2367C2212yes—
189#2367C2212yes—
190#2367C2212yes—
191#2367C2214yes—
192#2367C2214yes—
193#2360C2214yescomplemented
194#2360C2214yescomplemented
195#2351C2212yescomplemented
196#2351C2212yescomplemented
197Q8×C4⋊C4C2212yescomplemented
198#2349C2212yes—
199D4×C4⋊C4C2212yes—
200D4×C4⋊C4C2211yescharacteristic
201D4×C4⋊C4C2211yescharacteristic
202#2345C2214yescomplemented
203#2345C2214yescomplemented
204#2345C2214yescomplemented
205#2342C2214yes—
206#2342C2214yes—
207Q8×C22⋊C4C2212yes—
208Q8×C22⋊C4C2212yes—
209Q8×C22⋊C4C2214yescomplemented
210D4×C22⋊C4C2212yes—
211D4×C22⋊C4C2212yes—
212#2337C2214yes—
213#2337C2214yes—
214#2331C2212yescomplemented
215#2331C2212yescomplemented
216#2330C2212yescomplemented
217#2330C2212yescomplemented
218#2329C2212yes—
219#2329C2212yes—
220#2329C2212yes—
221#2329C2211yescharacteristic
222#2329C2211yescharacteristic
223#2329C2212yes—
224#2329C2212yes—
225#2317C2212yes—
226#2316C2211yescharacteristic
227#2315C2214yes—
228#2312C2214yes—
229C4×C4⋊Q8C2212yescomplemented
230C4×C4⋊Q8C2212yescomplemented
231C4×C4⋊Q8C2212yescomplemented
232C4×C4⋊Q8C2212yescomplemented
233C4×#125C2212yescomplemented
234C4×#125C2212yescomplemented
235C4×#125C2212yescomplemented
236C4×#125C2212yescomplemented
237C4×#124C2212yes—
238C4×#124C2212yes—
239C4×#124C2212yes—
240C4×#124C2212yes—
241C4×C22⋊Q8C2214yes—
242C4×C22⋊Q8C2212yes—
243C4×C22⋊Q8C2211yescharacteristic
244C4×C22⋊Q8C2211yescharacteristic
245C4×C22⋊Q8C2214yes—
246C4×C22⋊Q8C2214yes—
247C2×#391C2211yescharacteristic
248C2×#390C2211yescharacteristic
249C2×#388C2212yes—
250C2×#388C2212yes—
251C2×#385C2212yes—
252#2283C2212yes—
253C2×#380C2212yes—
254#2273C2214yes—
255C4×#117C2212yes—
256C2×C4×C4⋊C4C2211yescharacteristic
257C2×C4×C4⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2212yes—
259C23×Q8C2312yes—
260C23×Q8C2311yescharacteristic
261C23×D4C2311yescharacteristic
262C24×C4C2312yes—
263#557—48no—
264#554—44no—
265D4×Q8—44no—
266#544—28no—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2312yes—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2312yes—
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2311yescharacteristic
273C2×C4⋊Q8C2314yes—
274C2×#125C2312yes—
275C2×#125C2312yes—
276C2×#125C2312yes—
277C2×#125C2312yes—
278C2×#125C2314yes—
279C2×#125C2312yes—
280C2×#125C2314yes—
281C2×#124Q8116yescomplemented
282C2×#124C2312yes—
283C2×#124C2314yes—
284C2×#124C2312yes—
285C2×C22⋊Q8—216no—
286C2×C22⋊Q8C2312yes—
287C2×C22⋊Q8C2311yescharacteristic
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2314yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2314yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2311yescharacteristic
304C2×C4×Q8—44no—
305C2×C4×Q8C2312yes—
306C2×C4×Q8C2312yes—
307C2×C4×Q8C2311yescharacteristic
308C2×C4×Q8C2311yescharacteristic
309C2×C4×Q8C2312yes—
310C2×C4×Q8C2314yes—
311C2×C4×Q8C2312yes—
312C2×C4×Q8C2312yes—
313C2×C4×Q8C2312yes—
314C2×C4×Q8C2314yes—
315C2×C4×Q8C2312yes—
316C2×C4×Q8C2314yes—
317C2×C4×Q8C2314yes—
318C2×C4×D4—44no—
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2312yes—
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2312yes—
328C2×C4×D4C2312yes—
329C2×#117C2312yes—
330C2×#117C2312yes—
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2312yes—
333C22×C4⋊C4C2314yes—
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2311yescharacteristic
336C22×C4⋊C4C2312yes—
337C22×C4⋊C4C2312yes—
338C22×C4⋊C4C2311yescharacteristic
339C22×C4⋊C4C2312yes—
340C22×C22⋊C4C2314yes—
341C22×C22⋊C4C2312yes—
342C22×C22⋊C4C2314yes—
343C22×C22⋊C4C2312yes—
344C22×C22⋊C4C2312yes—
345C22×C22⋊C4C2312yes—
346C22×C22⋊C4C2312yes—
347C22×C42C2312yes—
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350C22×C42C2312yes—
351C22×C42C2311yescharacteristic
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#399C2314yes—
363#399C2314yes—
364#399C2314yes—
365#399C2314yes—
366#399C2314yes—
367#399C2314yes—
368#398C2314yes—
369#398C2314yes—
370#398C2314yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#396C2314yes—
393#396C2314yes—
394#396C2314yes—
395#396C2314yes—
396#396C2314yes—
397#396C2314yes—
398#396C2314yes—
399#396C2314yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#395C2314yes—
405#395C2314yes—
406#395C2314yes—
407#395C2314yes—
408#395C2314yes—
409#395C2314yes—
410#395C2314yes—
411#395C2314yes—
412#395C2314yes—
413#395C2314yes—
414#395C2314yes—
415#395C2314yes—
416#395C2314yes—
417#395C2314yes—
418#393C2314yes—
419#393C2314yes—
420#393C2314yes—
421#393C2314yes—
422#393C2314yes—
423#393C2314yes—
424#391C2312yes—
425#391C2312yes—
426#391C2312yes—
427#391C2312yes—
428#391C2314yes—
429#391C2314yes—
430#391C2312yes—
431#391C2312yes—
432#391C2314yes—
433#391C2314yes—
434#391C2312yes—
435#391C2312yes—
436#391C2312yes—
437#391C2312yes—
438#391C2314yes—
439#391C2314yes—
440#391C2314yes—
441#391C2314yes—
442#391C2314yes—
443#391C2314yes—
444#391C2314yes—
445#391C2314yes—
446#391C2314yes—
447#391C2311yescharacteristic
448#391C2311yescharacteristic
449#391C2312yes—
450#391C2314yes—
451#391C2314yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#390C2312yes—
457#390C2312yes—
458#390C2312yes—
459#390C2312yes—
460#390C2312yes—
461#390C2312yes—
462#390C2314yes—
463#389C2312yes—
464#389C2312yes—
465#389C2312yes—
466#389C2312yes—
467#389C2312yes—
468#389C2312yes—
469#389C2312yes—
470#389C2312yes—
471#389C2312yes—
472#389C2312yes—
473#389C2312yes—
474#389C2312yes—
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2314yes—
479#389C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2314yes—
485#389C2314yes—
486#389C2314yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2314yes—
492#389C2314yes—
493#389C2314yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#387C2312yes—
534#387C2312yes—
535#387C2312yes—
536#387C2314yes—
537#387C2314yes—
538#387C2312yes—
539#387C2312yes—
540#387C2312yes—
541#387C2312yes—
542#387C2312yes—
543#387C2314yes—
544#387C2314yes—
545#387C2312yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2312yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2312yes—
571#387C2312yes—
572#387C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2312yes—
580#385C2314yes—
581#385C2312yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2312yes—
588#385C2312yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#384C2312yes—
612#384C2312yes—
613#384C2312yes—
614#384C2312yes—
615#384C2311yescharacteristic
616#384C2314yes—
617#384C2311yescharacteristic
618#383C2314yes—
619#382C2312yes—
620#382C2312yes—
621#382C2312yes—
622#382C2312yes—
623#382C2312yes—
624#382C2314yes—
625#382C2312yes—
626#382C2312yes—
627#382C2314yes—
628#381C2314yes—
629#380C2314yes—
630#380C2312yes—
631#380C2312yes—
632#380C2314yes—
633#380C2314yes—
634#380C2314yes—
635#380C2312yes—
636#380C2314yes—
637#380C2314yes—
638#380C2314yes—
639#380C2314yes—
640#380C2311yescharacteristic
641#380C2311yescharacteristic
642#380C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2314yes—
646#380C2314yes—
647#380C2312yes—
648#380C2312yes—
649#380C2312yes—
650#380C2312yes—
651#380C2314yes—
652#380C2312yes—
653#380C2314yes—
654#380C2314yes—
655#379C2314yes—
656#379C2314yes—
657C4×C4⋊C4C2311yescharacteristic
658C4×C4⋊C4C2312yes—
659C4×C4⋊C4C2312yes—
660C4×C4⋊C4C2312yes—
661C4×C4⋊C4C2311yescharacteristic
662C4×C4⋊C4C2312yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2312yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2314yes—
671C4×C4⋊C4C2314yes—
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2314yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2314yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2314yes—
686C4×C22⋊C4C2312yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709#376C2312yes—
710#376C2312yes—
711#376C2314yes—
712C2×#95C2312yes—
713C2×#95C2311yescharacteristic
714C2×#95C2311yescharacteristic
715C2×#95C2312yes—
716C2×#95C2314yes—
717C2×#95C2312yes—
718C43C2312yes—
719C43C2312yes—
720C25C2412yes—
721C22×Q8—28no—
722C22×Q8—42no—
723C22×Q8—42no—
724C22×Q8—44no—
725C22×Q8—82no—
726C22×Q8C2×Q818yescomplemented
727C22×Q8C2414yes—
728C22×Q8C2412yes—
729C22×Q8C2411yescharacteristic
730C22×Q8C2412yes—
731C22×Q8C2412yes—
732C22×Q8C2414yes—
733C22×Q8C2412yes—
734C22×Q8C2412yes—
735C22×Q8C2411yescharacteristic
736C22×D4—42no—
737C22×D4—42no—
738C22×D4C2×Q818yes—
739C22×D4C2411yescharacteristic
740C22×D4C2411yescharacteristic
741C22×D4C2412yes—
742C23×C4—28no—
743C23×C4—44no—
744C23×C4—82no—
745C23×C4C2412yes—
746C23×C4C2412yes—
747C23×C4C2412yes—
748C23×C4C2411yescharacteristic
749C23×C4C2411yescharacteristic
750C23×C4C2411yescharacteristic
751C23×C4C2412yes—
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2414yes—
755C23×C4C2414yes—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2412yes—
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C4⋊Q8—28no—
764C4⋊Q8—28no—
765C4⋊Q8—28no—
766C4⋊Q8—44no—
767C4⋊Q8—42no—
768C4⋊Q8—42no—
769C4⋊Q8—48no—
770#125—28no—
771#125—28no—
772#125—28no—
773#125—44no—
774#125—44no—
775#125—48no—
776#125—48no—
777#124C2×Q8116yes—
778#124C2×Q8116yescomplemented
779#124C2×Q8132yescomplemented
780C22⋊Q8—28no—
781C22⋊Q8—28no—
782C22⋊Q8—24no—
783C22⋊Q8—28no—
784C22⋊Q8—216no—
785C22⋊Q8—216no—
786C22⋊Q8—28no—
787C22⋊Q8—44no—
788C22⋊Q8—48no—
789C22⋊Q8—48no—
790C22⋊Q8—48no—
791C22⋊Q8—44no—
792C22⋊Q8—44no—
793C22⋊Q8—84no—
794C22⋊Q8—84no—
795C22⋊Q8—82no—
796C22⋊Q8—82no—
797C22⋊Q8#4118yes—
798C4×Q8—28no—
799C4×Q8—42no—
800C4×Q8—42no—
801C4×Q8—44no—
802C4×Q8—48no—
803C4×Q8—44no—
804C4×Q8—44no—
805C4×Q8—44no—
806C4×Q8—48no—
807C4×Q8—44no—
808C4×Q8—44no—
809C4×Q8—84no—
810C4×Q8—84no—
811C4×D4—24no—
812C4×D4—24no—
813C4×D4—42no—
814C4×D4—42no—
815C4×D4—44no—
816C4×D4—44no—
817C4×D4—44no—
818C4×D4—44no—
819C4×D4—44no—
820C4×D4—44no—
821#117—28no—
822#117—44no—
823C2×C4⋊C4—24no—
824C2×C4⋊C4—28no—
825C2×C4⋊C4—216no—
826C2×C4⋊C4—24no—
827C2×C4⋊C4—42no—
828C2×C4⋊C4—44no—
829C2×C4⋊C4—44no—
830C2×C4⋊C4—42no—
831C2×C4⋊C4—82no—
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C22⋊C4—216no—
907C2×C22⋊C4—44no—
908C2×C22⋊C4—48no—
909C2×C22⋊C4—44no—
910C2×C22⋊C4—82no—
911C2×C22⋊C4C2×Q8116yescomplemented
912C2×C22⋊C4C2×Q8116yescomplemented
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C42—42no—
944C2×C42—42no—
945C2×C42—44no—
946C2×C42—82no—
947C2×C42C2×Q818yescomplemented
948C2×C42C2412yes—
949C2×C42C2412yes—
950C2×C42C2411yescharacteristic
951C2×C42C2411yescharacteristic
952C2×C42C2412yes—
953C2×C42C2412yes—
954C2×C42C2412yes—
955C2×C42C2412yes—
956C2×C42C2414yes—
957C2×C42C2412yes—
958C2×C42C2412yes—
959C2×C42C2412yes—
960C2×C42C2411yescharacteristic
961C2×C42C2411yescharacteristic
962C2×C42C2414yes—
963C2×C42C2414yes—
964C2×C42C2412yes—
965C2×C42C2412yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2412yes—
969C2×C42C2414yes—
970C2×C42C2414yes—
971C2×C42C2414yes—
972C2×C42C2414yes—
973C2×C42C2412yes—
974C2×C42C2412yes—
975C2×C42C2414yes—
976C2×C42C2412yes—
977C2×C42C2412yes—
978#95C2412yes—
979#95C2412yes—
980#95C2412yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2412yes—
988#95C2412yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2412yes—
993#95C2412yes—
994#95C2414yes—
995#95C2414yes—
996#95C2412yes—
997#95C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042C24—24no—
1043C24—24no—
1044C24—42no—
1045C24—42no—
1046C24—42no—
1047C24—42no—
1048C24C22×Q818yes—
1049C24C2512yes—
1050C24C2512yes—
1051C24C2511yescharacteristic
1052C2×Q8—28no—
1053C2×Q8—24no—
1054C2×Q8—22no—
1055C2×Q8—24no—
1056C2×Q8—24no—
1057C2×Q8—28no—
1058C2×Q8—24no—
1059C2×Q8—42no—
1060C2×Q8—41no—
1061C2×Q8—44no—
1062C2×Q8—42no—
1063C2×Q8—41no—
1064C2×Q8—41no—
1065C2×Q8—42no—
1066C2×Q8—44no—
1067C2×Q8—42no—
1068C2×Q8—44no—
1069C2×Q8—42no—
1070C2×Q8—41no—
1071C2×Q8—42no—
1072C2×Q8—44no—
1073C2×Q8—42no—
1074C2×Q8—42no—
1075C2×Q8—42no—
1076C2×Q8—416no—
1077C2×Q8—816no—
1078C2×Q8C22×Q818yes—
1079C2×Q8C22×Q818yes—
1080C2×Q8C2×#4114yes—
1081C2×D4—22no—
1082C2×D4—22no—
1083C2×D4—22no—
1084C2×D4—22no—
1085C2×D4—416no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4C22×Q814yes—
1089C2×D4C22×Q814yes—
1090C2×D4C22×Q818yes—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—24no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—24no—
1099C22×C4—22no—
1100C22×C4—24no—
1101C22×C4—24no—
1102C22×C4—24no—
1103C22×C4—24no—
1104C22×C4—24no—
1105C22×C4—28no—
1106C22×C4—28no—
1107C22×C4—24no—
1108C22×C4—24no—
1109C22×C4—41no—
1110C22×C4—42no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—41no—
1116C22×C4—42no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—42no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—42no—
1123C22×C4—41no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—41no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—816no—
1141C22×C4C22×Q814yes—
1142C22×C4C22×Q814yes—
1143C22×C4C22×Q814yes—
1144C22×C4C22×Q818yes—
1145C22×C4C2×#4114yes—
1146C22×C4C2514yes—
1147C22×C4C2511yescharacteristic
1148C22×C4C2512yes—
1149C22×C4C2512yes—
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2514yes—
1153C22×C4C2514yes—
1154C22×C4C2514yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2511yescharacteristic
1158C22×C4C2514yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2512yes—
1162C22×C4C2511yescharacteristic
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2514yes—
1166C22×C4C2511yescharacteristic
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2511yescharacteristic
1170C22×C4C2512yes—
1171C22×C4C2511yescharacteristic
1172C4⋊C4—28no—
1173C4⋊C4—24no—
1174C4⋊C4—28no—
1175C4⋊C4—28no—
1176C4⋊C4—28no—
1177C4⋊C4—24no—
1178C4⋊C4—24no—
1179C4⋊C4—24no—
1180C4⋊C4—24no—
1181C4⋊C4—22no—
1182C4⋊C4—24no—
1183C4⋊C4—24no—
1184C4⋊C4—24no—
1185C4⋊C4—24no—
1186C4⋊C4—24no—
1187C4⋊C4—22no—
1188C4⋊C4—28no—
1189C4⋊C4—28no—
1190C4⋊C4—24no—
1191C4⋊C4—24no—
1192C4⋊C4—28no—
1193C4⋊C4—28no—
1194C4⋊C4—24no—
1195C4⋊C4—24no—
1196C4⋊C4—24no—
1197C4⋊C4—41no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—44no—
1202C4⋊C4—42no—
1203C4⋊C4—41no—
1204C4⋊C4—44no—
1205C4⋊C4—42no—
1206C4⋊C4—42no—
1207C4⋊C4—42no—
1208C4⋊C4—42no—
1209C4⋊C4—42no—
1210C4⋊C4—42no—
1211C4⋊C4—44no—
1212C4⋊C4—42no—
1213C4⋊C4—42no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—41no—
1219C4⋊C4—42no—
1220C4⋊C4—44no—
1221C4⋊C4—42no—
1222C4⋊C4—44no—
1223C4⋊C4—42no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—41no—
1237C4⋊C4—42no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4C2×#4114yes—
1244C4⋊C4C2×#4118yes—
1245C4⋊C4H(5,𝔽2)14yes—
1246C22⋊C4—28no—
1247C22⋊C4—24no—
1248C22⋊C4—24no—
1249C22⋊C4—28no—
1250C22⋊C4—24no—
1251C22⋊C4—28no—
1252C22⋊C4—28no—
1253C22⋊C4—24no—
1254C22⋊C4—24no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4C22×Q8116yes—
1272C22⋊C4C22×Q8116yes—
1273C22⋊C4C22×Q8116yes—
1274C22⋊C4C22×Q8116yes—
1275C22⋊C4C2×#4118yes—
1276C42—24no—
1277C42—24no—
1278C42—22no—
1279C42—22no—
1280C42—28no—
1281C42—24no—
1282C42—24no—
1283C42—24no—
1284C42—24no—
1285C42—24no—
1286C42—41no—
1287C42—41no—
1288C42—44no—
1289C42—42no—
1290C42—44no—
1291C42—44no—
1292C42—42no—
1293C42—42no—
1294C42—44no—
1295C42—42no—
1296C42—42no—
1297C42—44no—
1298C42—44no—
1299C42—44no—
1300C42—44no—
1301C42—42no—
1302C42—42no—
1303C42—44no—
1304C42C22×Q818yes—
1305C42C22×Q818yes—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—216no—
1323C23—48no—
1324C23—48no—
1325C23—84no—
1326C23—84no—
1327C23—84no—
1328C23—84no—
1329C23C23×Q814yes—
1330C23C23×Q814yes—
1331C23C23×Q812yes—
1332C23C22×#4112yes—
1333C23#58512yes—
1334C23C2611yescharacteristic
1335Q8—216no—
1336Q8—48no—
1337Q8—44no—
1338Q8—416no—
1339Q8—82no—
1340Q8—84no—
1341Q8—84no—
1342Q8—88no—
1343Q8—162no—
1344D4—28no—
1345D4—28no—
1346D4—48no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—24no—
1350C2×C4—22no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—24no—
1357C2×C4—21no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—28no—
1366C2×C4—28no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—24no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—24no—
1391C2×C4—24no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—22no—
1395C2×C4—24no—
1396C2×C4—24no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—24no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—24no—
1404C2×C4—24no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—24no—
1410C2×C4—24no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—44no—
1416C2×C4—44no—
1417C2×C4—48no—
1418C2×C4—48no—
1419C2×C4—48no—
1420C2×C4—48no—
1421C2×C4—44no—
1422C2×C4—88no—
1423C2×C4—84no—
1424C2×C4—84no—
1425C2×C4—88no—
1426C2×C4—82no—
1427C2×C4—82no—
1428C2×C4—84no—
1429C2×C4—164no—
1430C2×C4—164no—
1431C2×C4C23×Q814yes—
1432C2×C4C23×Q814yes—
1433C2×C4C23×Q812yes—
1434C2×C4C23×Q818yes—
1435C2×C4C23×Q812yes—
1436C2×C4C22×#4114yes—
1437C2×C4C22×#4114yes—
1438C2×C4C22×#4112yes—
1439C2×C4C22×#4112yes—
1440C2×C4C2×H(5,𝔽2)14yes—
1441C2×C4C2×H(5,𝔽2)12yes—
1442C2×C4#58512yes—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—24no—
1450C22—24no—
1451C22—24no—
1452C22—24no—
1453C22—24no—
1454C22—24no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—42no—
1463C22—816no—
1464C22Q8×#4114yes—
1465C22C24×Q811yescharacteristic
1466C22C23×#4111yescharacteristic
1467C22C22×H(5,𝔽2)11yescharacteristic
1468C22C2×#58511yescharacteristic
1469C22C2×#58511yescharacteristic
1470C22H(7,𝔽2)11yescharacteristic
1471C222−1+611yescharacteristic
1472C4—22no—
1473C4—22no—
1474C4—24no—
1475C4—24no—
1476C4—24no—
1477C4—22no—
1478C4—28no—
1479C4—24no—
1480C4—24no—
1481C4—42no—
1482C4—44no—
1483C4—42no—
1484C4—42no—
1485C4—42no—
1486C4—44no—
1487C4—42no—
1488C4—42no—
1489C4—41no—
1490C4—41no—
1491C4—42no—
1492C4—44no—
1493C4—44no—
1494C4—42no—
1495C4—44no—
1496C4—42no—
1497C4#350114yes—
1498C2—24no—
1499C2—44no—
1500C2—44no—
1501C2C2×Q8×#4111yescharacteristic
1502C2C2×#350111yescharacteristic
1503C2#6285411yescharacteristic
1504C2#6291911yescharacteristic
1505C2#6296511yescharacteristic
1506C2#6298311yescharacteristic
1507C2#6300911yescharacteristic
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. #59909C2semidirect
2. #59833C2semidirect
3. #59462C2semidirect
4. #59462C2semidirect
5. #59461C2semidirect
6. #59460C2semidirect
7. #59429C2semidirect
8. #59413C2semidirect
9. #44729C2semidirect
10. #44681C2semidirect
11. #44435C2semidirect
12. #44233C2semidirect
13. #39752C2semidirect
14. #39624C2semidirect
16. #38959C2semidirect
17. #37873C2semidirect
18. #37685C2semidirect
19. #36435C2semidirect
22. #35402C2semidirect
23. #35104C2semidirect
24. #35012C2semidirect
25. #34966C2semidirect
27. #34212C2semidirect
29. C4×#544C2semidirect
30. C2×#557C22semidirect
44. #2811C22semidirect
45. #2809C22semidirect
46. #2806C22semidirect
47. #2806C22semidirect
48. #2806C22semidirect
49. #2799C22semidirect
50. #2790C22semidirect
51. #2788C22semidirect
52. #2788C22semidirect
55. #2768C22semidirect
56. #2768C22semidirect
57. #2768C22semidirect
58. #2763C22semidirect
60. #2742C22semidirect
61. #2742C22semidirect
62. #2729C22semidirect
63. #2720C22semidirect
64. #2720C22semidirect
65. #2704C22semidirect
66. #2704C22semidirect
67. #2704C22semidirect
69. #2677C22semidirect
75. #2606C22semidirect
76. #2606C22semidirect
77. #2605C22semidirect
78. #2605C22semidirect
79. #2589C22semidirect
80. #2589C22semidirect
81. #2589C22semidirect
82. #2587C22semidirect
83. #2587C22semidirect
84. #2587C22semidirect
85. #2583C22semidirect
86. #2582C22semidirect
87. #2581C22semidirect
88. #2581C22semidirect
89. #2581C22semidirect
91. #2574C22semidirect
92. #2574C22semidirect
93. #2574C22semidirect
94. #2574C22semidirect
95. #2574C22semidirect
96. #2574C22semidirect
97. #2570C22semidirect
98. #2570C22semidirect
99. #2570C22semidirect
100. #2570C22semidirect
102. #2567C22semidirect
104. #2565C22semidirect
105. #2565C22semidirect
106. #2565C22semidirect
109. #2556C22semidirect
110. #2556C22semidirect
111. #2556C22semidirect
112. #2556C22semidirect
113. #2550C22semidirect
114. #2550C22semidirect
115. #2550C22semidirect
116. #2550C22semidirect
118. #2549C22semidirect
123. #2522C22semidirect
124. #2522C22semidirect
125. #2522C22semidirect
126. #2522C22semidirect
127. #2522C22semidirect
128. #2505C22semidirect
129. #2497C22semidirect
130. #2497C22semidirect
131. #2492C22semidirect
133. #2473C22semidirect
134. #2473C22semidirect
135. #2473C22semidirect
136. #2465C22semidirect
137. #2465C22semidirect
138. #2465C22semidirect
139. #2465C22semidirect
140. #2465C22semidirect
145. #2453C22semidirect
146. #2453C22semidirect
147. #2453C22semidirect
150. #2451C22semidirect
151. #2451C22semidirect
152. #2451C22semidirect
153. #2451C22semidirect
154. #2451C22semidirect
163. #2440C22semidirect
170. #2434C22semidirect
171. #2429C22semidirect
172. #2423C22semidirect
173. #2423C22semidirect
177. #2402C22semidirect
178. #2399C22semidirect
181. #2368C22semidirect
182. #2368C22semidirect
193. #2360C22semidirect
194. #2360C22semidirect
195. #2351C22semidirect
196. #2351C22semidirect
197. Q8×C4⋊C4C22semidirect
202. #2345C22semidirect
203. #2345C22semidirect
204. #2345C22semidirect
209. Q8×C22⋊C4C22semidirect
214. #2331C22semidirect
215. #2331C22semidirect
216. #2330C22semidirect
217. #2330C22semidirect
229. C4×C4⋊Q8C22semidirect
230. C4×C4⋊Q8C22semidirect
231. C4×C4⋊Q8C22semidirect
232. C4×C4⋊Q8C22semidirect
233. C4×#125C22semidirect
234. C4×#125C22semidirect
235. C4×#125C22semidirect
236. C4×#125C22semidirect
281. C2×#124Q8semidirect
726. C22×Q8C2×Q8semidirect
778. #124C2×Q8semidirect
779. #124C2×Q8semidirect
911. C2×C22⋊C4C2×Q8semidirect
912. C2×C22⋊C4C2×Q8semidirect
947. C2×C42C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599092
#598332
#594622
#594612
#594602
#594292
#594132
#447292
#446812
#444352
#442332
#397522
#396242
#389622
#389592
#378732
#376852
#364352
#361542
D4×C22⋊Q82
#354022
#351042
#350122
#349662
#342402
#342122
C2×#23672
C4×#5442