Finite Group Databasebeta

← #7681072

Subgroups — #7681072

Order 512.

4784 conjugacy classes of subgroups.

The subgroup lattice has 1466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59957C214yesmaximal, complemented
2#59705C214yesmaximal, complemented
3#59662C214yesmaximal, complemented
4#59494C214yesmaximal, complemented
5#44522C214yesmaximal, complemented
6#44514C214yesmaximal, complemented
7#44054C214yesmaximal, complemented
8#44046C214yesmaximal, complemented
9#39563C212yesmaximal, complemented
10#39513C211yesmaximal, characteristic, complemented
11#39501C211yesmaximal, characteristic, complemented
12#37981C212yesmaximal, complemented
13#37897C211yesmaximal, characteristic, complemented
14#37894C211yesmaximal, characteristic, complemented
15#37883C211yesmaximal, characteristic, complemented
16#37882C211yesmaximal, characteristic, complemented
17#37838C212yesmaximal
18#36191C211yesmaximal, characteristic, complemented
19#36190C212yesmaximal, complemented
20#36180C211yesmaximal, characteristic, complemented
21#35604C212yesmaximal, complemented
22#35599C212yesmaximal, complemented
23#35310C211yesmaximal, characteristic, complemented
24#35309C211yesmaximal, characteristic, complemented
25#35283C211yesmaximal, characteristic, complemented
26#34772C212yesmaximal, complemented
27#34299C212yesmaximal, complemented
28#34281C211yesmaximal, characteristic, complemented
29#34188C211yesmaximal, characteristic, complemented
30#34136C211yesmaximal, characteristic
31C2×#2314C211yesmaximal, characteristic, complemented
32C2×#554C2212yes—
33C2×#541C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C2×C4×#41C2211yescharacteristic
36C22×#117C2211yescharacteristic
37#2868C2211yescharacteristic, complemented
38#2862C2211yescharacteristic, complemented
39#2857C2211yescharacteristic
40#2857C2212yes—
41#2857C2211yescharacteristic, complemented
42#2855C2212yes—
43#2851C2211yescharacteristic
44#2851C2211yescharacteristic, complemented
45#2848C2212yes—
46#2809C2214yescomplemented
47#2808C2214yes—
48#2799C2214yescomplemented
49#2794C2214yescomplemented
50#2793C2214yes—
51#2793C2214yes—
52#2793C2214yescomplemented
53#2791C2214yescomplemented
54#2786C2214yes—
55#2774C2214yescomplemented
56#2772C2214yescomplemented
57#2766C2214yescomplemented
58#2766C2214yescomplemented
59#2751C2214yescomplemented
60#2750C2214yes—
61#2747C2214yescomplemented
62#2745C2214yes—
63#2741C2214yes—
64#2738C2214yes—
65#2721C2214yescomplemented
66#2694C2214yes—
67#2690C2214yes—
68#2687C2214yes—
69#2672C2214yes—
70#2647C2211yescharacteristic, complemented
71#2647C2211yescharacteristic, complemented
72#2629C2211yescharacteristic
73#2629C2211yescharacteristic, complemented
74#2628C2212yes—
75#2625C2212yes—
76#2621C2211yescharacteristic
77#2621C2211yescharacteristic, complemented
78#2616C2212yes—
79#2611C2214yes—
80#2601C2214yescomplemented
81#2599C2214yes—
82#2596C2214yes—
83#2596C2214yes—
84#2594C2214yes—
85#2590C2214yescomplemented
86#2588C2214yescomplemented
87#2588C2214yescomplemented
88#2585C2214yescomplemented
89#2574C2214yes—
90#2574C2214yescomplemented
91#2573C2214yescomplemented
92#2570C2212yescomplemented
93#2569C2214yes—
94#2569C2214yes—
95#2567C2212yescomplemented
96#2560C2214yes—
97#2558C2214yes—
98#2552C2214yescomplemented
99#2549C2214yes—
100#2547C2212yes—
101#2545C2214yes—
102#2536C2212yes—
103#2533C2214yescomplemented
104#2532C2214yes—
105#2532C2214yes—
106#2532C2214yescomplemented
107#2530C2214yescomplemented
108#2529C2214yes—
109#2527C2214yescomplemented
110#2522C2214yes—
111#2522C2214yescomplemented
112#2521C2214yes—
113#2520C2214yescomplemented
114#2520C2214yescomplemented
115#2520C2214yescomplemented
116#2514C2212yescomplemented
117#2511C2212yescomplemented
118#2511C2214yescomplemented
119#2510C2214yes—
120#2507C2212yescomplemented
121#2506C2212yescomplemented
122#2505C2214yes—
123#2505C2214yes—
124#2502C2212yes—
125#2502C2212yescomplemented
126#2497C2212yes—
127#2497C2212yes—
128#2497C2212yescomplemented
129#2496C2212yescomplemented
130#2492C2212yes—
131#2492C2214yes—
132#2492C2212yescomplemented
133#2487C2212yes—
134#2486C2212yes—
135#2484C2214yescomplemented
136#2481C2214yes—
137#2480C2214yes—
138#2478C2214yes—
139#2478C2214yescomplemented
140#2477C2214yes—
141#2475C2214yes—
142#2474C2214yes—
143#2473C2214yes—
144#2473C2214yes—
145#2472C2214yes—
146#2468C2214yes—
147#2466C2214yes—
148#2462C2214yescomplemented
149#2462C2214yescomplemented
150#2460C2214yescomplemented
151#2458C2214yes—
152#2453C2214yescomplemented
153#2451C2214yescomplemented
154#2450C2214yes—
155#2450C2214yes—
156#2446C2214yescomplemented
157#2444C2214yes—
158#2440C2214yes—
159#2440C2212yes—
160#2440C2214yescomplemented
161#2439C2212yescomplemented
162#2438C2214yes—
163#2437C2214yes—
164#2423C2212yes—
165#2423C2214yes—
166#2421C2212yescomplemented
167#2418C2214yes—
168#2417C2212yes—
169#2415C2212yes—
170#2413C2214yes—
171#2402C2214yescomplemented
172#2396C2214yescomplemented
173#2373C2214yes—
174#2373C2214yes—
175#2371C2214yescomplemented
176#2371C2214yescomplemented
177#2370C2214yescomplemented
178#2368C2214yes—
179#2368C2214yes—
180#2368C2214yes—
181#2365C2212yescomplemented
182#2363C2212yes—
183#2362C2212yes—
184#2362C2212yescomplemented
185#2362C2214yescomplemented
186#2361C2212yes—
187#2360C2212yes—
188#2360C2212yes—
189#2359C2212yes—
190#2359C2212yes—
191#2358C2212yes—
192#2358C2212yes—
193#2356C2212yescomplemented
194#2355C2214yescomplemented
195#2354C2214yes—
196#2353C2214yes—
197#2352C2212yes—
198#2352C2214yes—
199#2352C2214yescomplemented
200D4×C4⋊C4C2214yes—
201#2345C2212yes—
202#2344C2212yescomplemented
203#2342C2214yes—
204#2336C2214yescomplemented
205#2332C2214yescomplemented
206#2331C2212yescomplemented
207#2330C2211yescharacteristic, complemented
208#2327C2211yescharacteristic, complemented
209#2323C2212yes—
210#2323C2212yes—
211#2323C2212yescomplemented
212#2314C2211yescharacteristic
213#2314C2214yes—
214#2314C2212yes—
215#2314C2214yes—
216#2314C2211yescharacteristic
217#2314C2212yes—
218#2314C2211yescharacteristic
219#2314C2211yescharacteristic
220#2314C2211yescharacteristic
221#2314C2211yescharacteristic, complemented
222#2314C2211yescharacteristic, complemented
223#2311C2212yes—
224C4×C4⋊Q8C2212yescomplemented
225C4×C4⋊Q8C2211yescharacteristic, complemented
226C4×#125C2211yescharacteristic, complemented
227C4×C22⋊Q8C2214yes—
228C4×C22⋊Q8C2214yes—
229C4×C22⋊Q8C2212yes—
230C4×C22⋊Q8C2212yes—
231C4×C22⋊Q8C2212yescomplemented
232#2297C2211yescharacteristic
233#2296C2211yescharacteristic
234#2295C2212yescomplemented
235#2293C2211yescharacteristic
236#2293C2211yescharacteristic
237#2290C2211yescharacteristic
238#2290C2211yescharacteristic
239#2290C2211yescharacteristic
240#2290C2214yes—
241#2290C2214yes—
242#2290C2211yescharacteristic
243C2×#388C2214yes—
244C2×#387C2214yes—
245#2285C2212yes—
246#2285C2211yescharacteristic, complemented
247#2285C2212yescomplemented
248C2×#384C2211yescharacteristic
249C2×#384C2211yescharacteristic, complemented
250C2×#382C2211yescharacteristic
251C2×#380C2212yes—
252#2276C2212yescomplemented
253#2274C2212yescomplemented
254C42×D4C2211yescharacteristic
255C42×D4C2211yescharacteristic
256C4×#117C2211yescharacteristic
257C2×C4×C4⋊C4C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C24×C4C2311yescharacteristic
261#554—216no—
262#541—28no—
263C2×C4⋊Q8C2311yescharacteristic
264C2×C4⋊Q8C2312yes—
265C2×C4⋊Q8C2312yes—
266C2×C4⋊Q8C2314yes—
267C2×#126C2314yes—
268C2×#126C2314yes—
269C2×#125C2311yescharacteristic
270C2×#125C2314yes—
271C2×#125C2314yes—
272C2×#125C2314yes—
273C2×#124C2314yes—
274#525—28no—
275C2×#123C2311yescharacteristic
276C2×#123C2311yescharacteristic
277C2×#123C2314yes—
278C2×C22⋊Q8C2312yes—
279C2×C22⋊Q8C2312yes—
280C2×C22⋊Q8C2314yes—
281C2×C22⋊Q8C2312yes—
282C2×C22⋊Q8C2311yescharacteristic
283C2×C22⋊Q8C2311yescharacteristic
284C2×C22⋊Q8C2314yes—
285C2×C22⋊Q8C2314yes—
286C2×C22⋊Q8C2312yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2314yes—
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#120C2311yescharacteristic
292C2×#120C2311yescharacteristic
293C4×#41—28no—
294C2×C4×Q8C2312yes—
295C2×C4×Q8C2312yes—
296C2×C4×Q8C2312yes—
297C2×C4×Q8C2312yes—
298C2×C4×Q8C2314yes—
299C2×C4×Q8C2314yes—
300C2×C4×D4C2314yes—
301C2×C4×D4C2312yes—
302C2×C4×D4C2312yes—
303C2×C4×D4C2312yes—
304C2×C4×D4C2312yes—
305C2×C4×D4C2312yes—
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×#117—28no—
311C2×#117C2311yescharacteristic
312C2×#117C2312yes—
313C2×#117C2312yes—
314C2×#117C2311yescharacteristic
315C2×#117C2311yescharacteristic
316C2×#117C2311yescharacteristic
317C2×#117C2311yescharacteristic
318C2×#117C2311yescharacteristic
319C2×#117C2312yes—
320C2×#117C2314yes—
321C2×#117C2314yes—
322C2×#117C2314yes—
323C2×#117C2311yescharacteristic
324C22×C4⋊C4C2312yes—
325C22×C4⋊C4C2312yes—
326C22×C4⋊C4C2312yes—
327C22×C4⋊C4C2312yes—
328C22×C4⋊C4C2314yes—
329C22×C4⋊C4C2314yes—
330C22×C22⋊C4C2312yes—
331C22×C22⋊C4C2312yes—
332C22×C22⋊C4C2314yes—
333C22×C42C2311yescharacteristic
334C22×C42C2311yescharacteristic
335C22×C42C2311yescharacteristic
336C22×C42C2311yescharacteristic
337C22×C42C2311yescharacteristic
338C22×C42C2311yescharacteristic
339C22×C42C2314yes—
340#401C2314yes—
341#400C2314yes—
342#400C2314yes—
343#400C2314yes—
344#400C2314yes—
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#399C2314yes—
359#399C2314yes—
360#399C2314yes—
361#398C2314yes—
362#398C2314yes—
363#398C2314yes—
364#398C2314yes—
365#398C2314yes—
366#398C2314yes—
367#398C2314yes—
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#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#396C2314yes—
392#396C2314yes—
393#396C2314yes—
394#396C2314yes—
395#396C2314yes—
396#396C2314yes—
397#396C2314yes—
398#395C2314yes—
399#395C2314yes—
400#395C2314yes—
401#395C2314yes—
402#395C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#393C2314yes—
409#393C2314yes—
410#393C2314yes—
411#393C2314yes—
412#391C2314yes—
413#391C2314yes—
414#391C2312yes—
415#391C2314yes—
416#391C2312yes—
417#391C2312yes—
418#391C2314yes—
419#391C2314yes—
420#391C2312yes—
421#391C2312yes—
422#391C2314yes—
423#391C2314yes—
424#391C2314yes—
425#391C2312yes—
426#391C2314yes—
427#391C2314yes—
428#391C2312yes—
429#391C2314yes—
430#391C2314yes—
431#390C2314yes—
432#390C2312yes—
433#390C2312yes—
434#390C2312yes—
435#389C2312yes—
436#389C2314yes—
437#389C2314yes—
438#389C2312yes—
439#389C2312yes—
440#389C2314yes—
441#389C2314yes—
442#389C2312yes—
443#389C2312yes—
444#389C2314yes—
445#389C2312yes—
446#389C2314yes—
447#389C2314yes—
448#389C2312yes—
449#389C2314yes—
450#389C2314yes—
451#389C2314yes—
452#389C2312yes—
453#389C2312yes—
454#389C2314yes—
455#389C2312yes—
456#389C2314yes—
457#389C2312yes—
458#389C2314yes—
459#389C2314yes—
460#389C2312yes—
461#389C2312yes—
462#389C2312yes—
463#388C2314yes—
464#388C2314yes—
465#388C2314yes—
466#388C2314yes—
467#388C2314yes—
468#388C2314yes—
469#388C2314yes—
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2312yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2312yes—
487#388C2314yes—
488#388C2312yes—
489#388C2314yes—
490#388C2314yes—
491#388C2312yes—
492#388C2312yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2312yes—
497#388C2312yes—
498#388C2312yes—
499#388C2314yes—
500#388C2314yes—
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#387C2314yes—
520#387C2314yes—
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#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2312yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2312yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2312yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#386C2312yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2312yes—
564#386C2312yes—
565#386C2312yes—
566#386C2312yes—
567#386C2312yes—
568#386C2314yes—
569#386C2314yes—
570#385C2312yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
574#385C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2314yes—
580#385C2314yes—
581#385C2312yes—
582#385C2314yes—
583#385C2314yes—
584#385C2312yes—
585#385C2312yes—
586#385C2312yes—
587#385C2312yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#384C2311yescharacteristic
593#384C2312yes—
594#384C2312yes—
595#384C2312yes—
596#384C2311yescharacteristic
597#384C2314yes—
598#384C2311yescharacteristic
599#384C2312yes—
600#384C2314yes—
601#384C2314yes—
602#383C2314yes—
603#383C2314yes—
604#382C2311yescharacteristic
605#382C2312yes—
606#382C2314yes—
607#382C2311yescharacteristic
608#382C2311yescharacteristic
609#382C2312yes—
610#382C2314yes—
611#382C2314yes—
612#381C2314yes—
613#381C2314yes—
614#381C2314yes—
615#380C2312yes—
616#380C2312yes—
617#380C2312yes—
618#380C2312yes—
619#380C2314yes—
620#380C2314yes—
621#380C2314yes—
622#380C2314yes—
623#380C2314yes—
624#380C2314yes—
625#380C2312yes—
626#380C2312yes—
627#380C2312yes—
628#380C2314yes—
629#380C2312yes—
630#380C2312yes—
631#380C2312yes—
632#380C2314yes—
633#380C2314yes—
634#380C2314yes—
635#380C2312yes—
636#379C2314yes—
637C4×C4⋊C4C2314yes—
638C4×C4⋊C4C2312yes—
639C4×C4⋊C4C2314yes—
640C4×C4⋊C4C2312yes—
641C4×C4⋊C4C2312yes—
642C4×C4⋊C4C2314yes—
643C4×C4⋊C4C2314yes—
644C4×C4⋊C4C2311yescharacteristic
645C4×C4⋊C4C2314yes—
646C4×C4⋊C4C2312yes—
647C4×C4⋊C4C2312yes—
648C4×C4⋊C4C2314yes—
649C4×C4⋊C4C2312yes—
650C4×C4⋊C4C2312yes—
651C4×C4⋊C4C2312yes—
652C4×C4⋊C4C2314yes—
653C4×C4⋊C4C2314yes—
654C4×C4⋊C4C2312yes—
655C4×C4⋊C4C2314yes—
656C4×C4⋊C4C2314yes—
657C4×C4⋊C4C2314yes—
658C4×C4⋊C4C2314yes—
659C4×C4⋊C4C2314yes—
660C4×C4⋊C4C2314yes—
661C4×C4⋊C4C2314yes—
662C4×C4⋊C4C2311yescharacteristic
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2312yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2314yes—
668C4×C4⋊C4C2314yes—
669C4×C4⋊C4C2314yes—
670C4×C4⋊C4C2311yescharacteristic
671C4×C4⋊C4C2311yescharacteristic
672C4×C22⋊C4C2314yes—
673C4×C22⋊C4C2314yes—
674C4×C22⋊C4C2314yes—
675C4×C22⋊C4C2312yes—
676C4×C22⋊C4C2312yes—
677C4×C22⋊C4C2314yes—
678C4×C22⋊C4C2314yes—
679C4×C22⋊C4C2311yescharacteristic
680C4×C22⋊C4C2311yescharacteristic
681C4×C22⋊C4C2314yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2312yes—
684C4×C22⋊C4C2312yes—
685C4×C22⋊C4C2312yes—
686C4×C22⋊C4C2312yes—
687C4×C22⋊C4C2312yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2311yescharacteristic
691C4×C22⋊C4C2311yescharacteristic
692C4×C22⋊C4C2311yescharacteristic
693C4×C22⋊C4C2311yescharacteristic
694C4×C22⋊C4C2311yescharacteristic
695C4×C22⋊C4C2311yescharacteristic
696#376C2311yescharacteristic
697#376C2311yescharacteristic
698#376C2314yes—
699#376C2314yes—
700#376C2314yes—
701C2×#95C2312yes—
702C2×#95C2314yes—
703C2×#95C2314yes—
704C2×#95C2314yes—
705C43C2311yescharacteristic
706C43C2311yescharacteristic
707C25C2411yescharacteristic
708C2×#41—24no—
709C2×#41—24no—
710C2×#41—42no—
711C22×Q8C2412yes—
712C22×Q8C2411yescharacteristic
713C22×Q8C2414yes—
714C22×Q8C2414yes—
715C22×D4C2411yescharacteristic
716C22×D4C2411yescharacteristic
717C22×D4C2411yescharacteristic
718C22×D4C2411yescharacteristic
719C22×D4C2411yescharacteristic
720C22×D4C2411yescharacteristic
721C22×D4C2411yescharacteristic
722C23×C4—24no—
723C23×C4—24no—
724C23×C4—42no—
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2412yes—
728C23×C4C2412yes—
729C23×C4C2412yes—
730C23×C4C2412yes—
731C23×C4C2411yescharacteristic
732C23×C4C2412yes—
733C23×C4C2411yescharacteristic
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2414yes—
739C23×C4C2414yes—
740C23×C4C2412yes—
741C23×C4C2414yes—
742C4⋊Q8—24no—
743C4⋊Q8—28no—
744C4⋊Q8—44no—
745C4⋊Q8—84no—
746#126—216no—
747#126—84no—
748#125—216no—
749#125—216no—
750#125—24no—
751#125—84no—
752#124—84no—
753#123—24no—
754#123—24no—
755#123—84no—
756C22⋊Q8—28no—
757C22⋊Q8—28no—
758C22⋊Q8—28no—
759C22⋊Q8—24no—
760C22⋊Q8—24no—
761C22⋊Q8—216no—
762C22⋊Q8—216no—
763C22⋊Q8—216no—
764C22⋊Q8—44no—
765C22⋊Q8—44no—
766C22⋊Q8—84no—
767#121—24no—
768#121—24no—
769#120—24no—
770#120—24no—
771C4×Q8—28no—
772C4×Q8—28no—
773C4×Q8—28no—
774C4×Q8—44no—
775C4×Q8—84no—
776C4×Q8—84no—
777C4×D4—216no—
778C4×D4—24no—
779C4×D4—24no—
780C4×D4—28no—
781C4×D4—28no—
782C4×D4—28no—
783C4×D4—28no—
784C4×D4—28no—
785C4×D4—24no—
786C4×D4#4118yes—
787#117—24no—
788#117—28no—
789#117—28no—
790#117—24no—
791#117—24no—
792#117—24no—
793#117—24no—
794#117—24no—
795#117—44no—
796#117—84no—
797#117—84no—
798#117—84no—
799#117#4118yes—
800C2×C4⋊C4—28no—
801C2×C4⋊C4—28no—
802C2×C4⋊C4—28no—
803C2×C4⋊C4—44no—
804C2×C4⋊C4—84no—
805C2×C4⋊C4—84no—
806C2×C4⋊C4C2412yes—
807C2×C4⋊C4C2412yes—
808C2×C4⋊C4C2412yes—
809C2×C4⋊C4C2412yes—
810C2×C4⋊C4C2412yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2412yes—
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2412yes—
818C2×C4⋊C4C2411yescharacteristic
819C2×C4⋊C4C2411yescharacteristic
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2411yescharacteristic
822C2×C4⋊C4C2411yescharacteristic
823C2×C4⋊C4C2411yescharacteristic
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2411yescharacteristic
865C2×C22⋊C4—28no—
866C2×C22⋊C4—28no—
867C2×C22⋊C4—84no—
868C2×C22⋊C4C2412yes—
869C2×C22⋊C4C2412yes—
870C2×C22⋊C4C2412yes—
871C2×C22⋊C4C2412yes—
872C2×C22⋊C4C2412yes—
873C2×C22⋊C4C2412yes—
874C2×C22⋊C4C2412yes—
875C2×C22⋊C4C2412yes—
876C2×C22⋊C4C2411yescharacteristic
877C2×C22⋊C4C2411yescharacteristic
878C2×C22⋊C4C2411yescharacteristic
879C2×C22⋊C4C2411yescharacteristic
880C2×C22⋊C4C2411yescharacteristic
881C2×C22⋊C4C2411yescharacteristic
882C2×C22⋊C4C2411yescharacteristic
883C2×C22⋊C4C2411yescharacteristic
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2411yescharacteristic
907C2×C22⋊C4C2411yescharacteristic
908C2×C22⋊C4C2412yes—
909C2×C42—24no—
910C2×C42—24no—
911C2×C42—24no—
912C2×C42—24no—
913C2×C42—24no—
914C2×C42—42no—
915C2×C42—84no—
916C2×C42C2411yescharacteristic
917C2×C42C2411yescharacteristic
918C2×C42C2411yescharacteristic
919C2×C42C2412yes—
920C2×C42C2412yes—
921C2×C42C2411yescharacteristic
922C2×C42C2414yes—
923C2×C42C2412yes—
924C2×C42C2412yes—
925C2×C42C2412yes—
926C2×C42C2412yes—
927C2×C42C2412yes—
928C2×C42C2411yescharacteristic
929C2×C42C2414yes—
930C2×C42C2411yescharacteristic
931C2×C42C2411yescharacteristic
932C2×C42C2414yes—
933C2×C42C2414yes—
934C2×C42C2414yes—
935C2×C42C2414yes—
936C2×C42C2414yes—
937C2×C42C2414yes—
938C2×C42C2414yes—
939C2×C42C2412yes—
940C2×C42C2414yes—
941C2×C42C2414yes—
942C2×C42C2414yes—
943C2×C42C2414yes—
944C2×C42C2412yes—
945C2×C42C2412yes—
946C2×C42C2411yescharacteristic
947C2×C42C2411yescharacteristic
948C2×C42C2411yescharacteristic
949#95C2414yes—
950#95C2412yes—
951#95C2412yes—
952#95C2412yes—
953#95C2412yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2412yes—
966#95C2412yes—
967#95C2412yes—
968#95C2412yes—
969#95C2412yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2412yes—
980#95C2412yes—
981#95C2412yes—
982#95C2412yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2412yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2412yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2412yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014C24—22no—
1015C24—22no—
1016C24—24no—
1017C24—42no—
1018C24—41no—
1019C24C2511yescharacteristic
1020C24C2511yescharacteristic
1021C24C2511yescharacteristic
1022C24C2511yescharacteristic
1023C24C2511yescharacteristic
1024#41—416no—
1025C2×Q8—22no—
1026C2×Q8—24no—
1027C2×Q8—24no—
1028C2×Q8—22no—
1029C2×Q8—28no—
1030C2×Q8—28no—
1031C2×Q8—24no—
1032C2×Q8—41no—
1033C2×Q8—44no—
1034C2×Q8—44no—
1035C2×Q8—44no—
1036C2×Q8—44no—
1037C2×D4—24no—
1038C2×D4—22no—
1039C2×D4—22no—
1040C2×D4—22no—
1041C2×D4—22no—
1042C2×D4—22no—
1043C2×D4—24no—
1044C2×D4—22no—
1045C2×D4—22no—
1046C2×D4—22no—
1047C2×D4—22no—
1048C2×D4—41no—
1049C2×D4—41no—
1050C2×D4—41no—
1051C2×D4—42no—
1052C2×D4—42no—
1053C2×D4C2×#4114yes—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—24no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—24no—
1064C22×C4—24no—
1065C22×C4—28no—
1066C22×C4—28no—
1067C22×C4—28no—
1068C22×C4—24no—
1069C22×C4—24no—
1070C22×C4—22no—
1071C22×C4—24no—
1072C22×C4—24no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—24no—
1081C22×C4—24no—
1082C22×C4—24no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—24no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—416no—
1095C22×C4—42no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—44no—
1102C22×C4—42no—
1103C22×C4C2×#4114yes—
1104C22×C4C2×#4114yes—
1105C22×C4C2×#4114yes—
1106C22×C4C2511yescharacteristic
1107C22×C4C2514yes—
1108C22×C4C2511yescharacteristic
1109C22×C4C2511yescharacteristic
1110C22×C4C2512yes—
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2514yes—
1114C22×C4C2514yes—
1115C22×C4C2512yes—
1116C22×C4C2514yes—
1117C22×C4C2514yes—
1118C22×C4C2514yes—
1119C22×C4C2514yes—
1120C22×C4C2514yes—
1121C22×C4C2511yescharacteristic
1122C22×C4C2511yescharacteristic
1123C22×C4C2511yescharacteristic
1124C22×C4C2512yes—
1125C22×C4C2511yescharacteristic
1126C22×C4C2511yescharacteristic
1127C22×C4C2512yes—
1128C22×C4C2511yescharacteristic
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C22×C4C2511yescharacteristic
1132C4⋊C4—24no—
1133C4⋊C4—24no—
1134C4⋊C4—24no—
1135C4⋊C4—24no—
1136C4⋊C4—28no—
1137C4⋊C4—28no—
1138C4⋊C4—24no—
1139C4⋊C4—24no—
1140C4⋊C4—24no—
1141C4⋊C4—24no—
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—28no—
1148C4⋊C4—28no—
1149C4⋊C4—24no—
1150C4⋊C4—28no—
1151C4⋊C4—28no—
1152C4⋊C4—28no—
1153C4⋊C4—28no—
1154C4⋊C4—28no—
1155C4⋊C4—28no—
1156C4⋊C4—24no—
1157C4⋊C4—24no—
1158C4⋊C4—28no—
1159C4⋊C4—28no—
1160C4⋊C4—28no—
1161C4⋊C4—24no—
1162C4⋊C4—24no—
1163C4⋊C4—24no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—42no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—42no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4C2×#4118yes—
1190C4⋊C4C2×#4114yes—
1191C22⋊C4—24no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—28no—
1195C22⋊C4—28no—
1196C22⋊C4—28no—
1197C22⋊C4—24no—
1198C22⋊C4—28no—
1199C22⋊C4—24no—
1200C22⋊C4—24no—
1201C22⋊C4—24no—
1202C22⋊C4—24no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—24no—
1210C22⋊C4—24no—
1211C22⋊C4—24no—
1212C22⋊C4—24no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—42no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—42no—
1228C22⋊C4C2×#4118yes—
1229C22⋊C4C2×#4114yes—
1230C22⋊C4C2×#4114yes—
1231C22⋊C42−1+418yes—
1232C42—22no—
1233C42—24no—
1234C42—24no—
1235C42—22no—
1236C42—22no—
1237C42—22no—
1238C42—24no—
1239C42—24no—
1240C42—24no—
1241C42—22no—
1242C42—28no—
1243C42—28no—
1244C42—24no—
1245C42—24no—
1246C42—22no—
1247C42—22no—
1248C42—42no—
1249C42—44no—
1250C42—44no—
1251C42—44no—
1252C42—44no—
1253C42—44no—
1254C42—44no—
1255C42—44no—
1256C42—44no—
1257C42—44no—
1258C42—44no—
1259C42—42no—
1260C42—44no—
1261C42—42no—
1262C42C2×#4114yes—
1263C42C2×#4114yes—
1264C42C2×#4114yes—
1265C23—21no—
1266C23—21no—
1267C23—22no—
1268C23—21no—
1269C23—21no—
1270C23—22no—
1271C23—22no—
1272C23—21no—
1273C23—21no—
1274C23—22no—
1275C23—22no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—22no—
1281C23—22no—
1282C23—21no—
1283C23—21no—
1284C23—22no—
1285C23—22no—
1286C23—44no—
1287C23—48no—
1288C23—44no—
1289C23—82no—
1290C23—84no—
1291C23C22×#4112yes—
1292C23C22×#4112yes—
1293C23C22×#4112yes—
1294C23C2×2−1+414yes—
1295C23C2611yescharacteristic
1296Q8—44no—
1297Q8—48no—
1298Q8—88no—
1299Q8—88no—
1300D4—28no—
1301D4—44no—
1302D4—44no—
1303D4—44no—
1304D4—44no—
1305D4—82no—
1306D4—82no—
1307C2×C4—22no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—28no—
1324C2×C4—28no—
1325C2×C4—28no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—24no—
1335C2×C4—24no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—24no—
1339C2×C4—24no—
1340C2×C4—21no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—24no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—24no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—22no—
1351C2×C4—24no—
1352C2×C4—24no—
1353C2×C4—24no—
1354C2×C4—24no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—24no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—24no—
1361C2×C4—24no—
1362C2×C4—24no—
1363C2×C4—22no—
1364C2×C4—24no—
1365C2×C4—24no—
1366C2×C4—24no—
1367C2×C4—24no—
1368C2×C4—24no—
1369C2×C4—22no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—48no—
1373C2×C4—48no—
1374C2×C4—44no—
1375C2×C4—48no—
1376C2×C4—48no—
1377C2×C4—48no—
1378C2×C4—44no—
1379C2×C4—44no—
1380C2×C4—44no—
1381C2×C4—44no—
1382C2×C4—84no—
1383C2×C4—88no—
1384C2×C4—88no—
1385C2×C4—88no—
1386C2×C4C22×#4112yes—
1387C2×C4C22×#4114yes—
1388C2×C4C22×#4114yes—
1389C2×C4C22×#4112yes—
1390C2×C4C22×#4112yes—
1391C2×C4C22×#4112yes—
1392C2×C4C22×#4112yes—
1393C2×C4C22×#4112yes—
1394C2×C4C22×#4112yes—
1395C2×C4C2×2−1+414yes—
1396C2×C4C2×2−1+414yes—
1397C2×C4#58512yes—
1398C22—24no—
1399C22—22no—
1400C22—24no—
1401C22—22no—
1402C22—24no—
1403C22—22no—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—42no—
1408C22—41no—
1409C22—41no—
1410C22—42no—
1411C22—42no—
1412C22—42no—
1413C22—42no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—42no—
1419C22—42no—
1420C22—41no—
1421C22—41no—
1422C22—88no—
1423C22#350914yes—
1424C22C23×#4111yescharacteristic
1425C22C23×#4111yescharacteristic
1426C22C22×2−1+412yes—
1427C22C2×#58511yescharacteristic
1428C22H(7,𝔽2)12yes—
1429C4—24no—
1430C4—24no—
1431C4—24no—
1432C4—22no—
1433C4—22no—
1434C4—24no—
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—44no—
1439C4—42no—
1440C4—42no—
1441C4—42no—
1442C4—41no—
1443C4—44no—
1444C4—44no—
1445C4—44no—
1446C4—41no—
1447C4—42no—
1448C4—44no—
1449C4—44no—
1450C4—44no—
1451C4—41no—
1452C4—41no—
1453C4—44no—
1454C4#347514yes—
1455C2—24no—
1456C2—42no—
1457C2—42no—
1458C2—81no—
1459C2—81no—
1460C2C2×#347511yescharacteristic
1461C2C2×#350911yescharacteristic
1462C2#6285811yescharacteristic
1463C2#6295112yes—
1464C2#6300012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59957C2semidirect
2. #59705C2semidirect
3. #59662C2semidirect
4. #59494C2semidirect
5. #44522C2semidirect
6. #44514C2semidirect
7. #44054C2semidirect
8. #44046C2semidirect
9. #39563C2semidirect
10. #39513C2semidirect
11. #39501C2semidirect
12. #37981C2semidirect
13. #37897C2semidirect
14. #37894C2semidirect
15. #37883C2semidirect
16. #37882C2semidirect
18. #36191C2semidirect
19. #36190C2semidirect
20. #36180C2semidirect
21. #35604C2semidirect
22. #35599C2semidirect
23. #35310C2semidirect
24. #35309C2semidirect
25. #35283C2semidirect
26. #34772C2semidirect
27. #34299C2semidirect
28. #34281C2semidirect
29. #34188C2semidirect
31. C2×#2314C2semidirect
37. #2868C22semidirect
38. #2862C22semidirect
41. #2857C22semidirect
44. #2851C22semidirect
46. #2809C22semidirect
48. #2799C22semidirect
49. #2794C22semidirect
52. #2793C22semidirect
53. #2791C22semidirect
55. #2774C22semidirect
56. #2772C22semidirect
57. #2766C22semidirect
58. #2766C22semidirect
59. #2751C22semidirect
61. #2747C22semidirect
65. #2721C22semidirect
70. #2647C22semidirect
71. #2647C22semidirect
73. #2629C22semidirect
77. #2621C22semidirect
80. #2601C22semidirect
85. #2590C22semidirect
86. #2588C22semidirect
87. #2588C22semidirect
88. #2585C22semidirect
90. #2574C22semidirect
91. #2573C22semidirect
92. #2570C22semidirect
95. #2567C22semidirect
98. #2552C22semidirect
103. #2533C22semidirect
106. #2532C22semidirect
107. #2530C22semidirect
109. #2527C22semidirect
111. #2522C22semidirect
113. #2520C22semidirect
114. #2520C22semidirect
115. #2520C22semidirect
116. #2514C22semidirect
117. #2511C22semidirect
118. #2511C22semidirect
120. #2507C22semidirect
121. #2506C22semidirect
125. #2502C22semidirect
128. #2497C22semidirect
129. #2496C22semidirect
132. #2492C22semidirect
135. #2484C22semidirect
139. #2478C22semidirect
148. #2462C22semidirect
149. #2462C22semidirect
150. #2460C22semidirect
152. #2453C22semidirect
153. #2451C22semidirect
156. #2446C22semidirect
160. #2440C22semidirect
161. #2439C22semidirect
166. #2421C22semidirect
171. #2402C22semidirect
172. #2396C22semidirect
175. #2371C22semidirect
176. #2371C22semidirect
177. #2370C22semidirect
181. #2365C22semidirect
184. #2362C22semidirect
185. #2362C22semidirect
193. #2356C22semidirect
194. #2355C22semidirect
199. #2352C22semidirect
202. #2344C22semidirect
204. #2336C22semidirect
205. #2332C22semidirect
206. #2331C22semidirect
207. #2330C22semidirect
208. #2327C22semidirect
211. #2323C22semidirect
221. #2314C22semidirect
222. #2314C22semidirect
224. C4×C4⋊Q8C22semidirect
225. C4×C4⋊Q8C22semidirect
226. C4×#125C22semidirect
231. C4×C22⋊Q8C22semidirect
234. #2295C22semidirect
246. #2285C22semidirect
247. #2285C22semidirect
249. C2×#384C22semidirect
252. #2276C22semidirect
253. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#599572
#597052
#596622
#594942
#445222
#445142
#440542
#440462
#395632
#395132
#395012
#379812
#378972
#378942
#378832
#378822
#378382
#361912
#361902
#361802
#356042
#355992
#353102
#353092
#352832
#347722
#342992
#342812
#341882
#341362
C2×#23142