Finite Group Databasebeta

← #7657582

Subgroups — #7657582

Order 512.

4636 conjugacy classes of subgroups.

The subgroup lattice has 1462 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41710C214yesmaximal, complemented
2#41695C214yesmaximal, complemented
3#41442C212yesmaximal, complemented
4#41437C212yesmaximal, complemented
5#41397C214yesmaximal, complemented
6#40928C214yesmaximal, complemented
7#40913C214yesmaximal, complemented
8#39081C212yesmaximal, complemented
9#39066C212yesmaximal, complemented
10#38260C212yesmaximal, complemented
11#38254C212yesmaximal, complemented
12#38073C212yesmaximal, complemented
13#38061C212yesmaximal, complemented
14#37524C212yesmaximal, complemented
15#37520C212yesmaximal, complemented
16#37481C211yesmaximal, characteristic, complemented
17#37448C211yesmaximal, characteristic
18#36391C212yesmaximal, complemented
19#36366C212yesmaximal, complemented
20#36063C212yesmaximal, complemented
21#35851C212yesmaximal, complemented
22#35755C214yesmaximal, complemented
23#35269C212yesmaximal, complemented
24#35262C211yesmaximal, characteristic, complemented
25#34635C211yesmaximal, characteristic, complemented
26#34621C212yesmaximal, complemented
27#34246C211yesmaximal, characteristic, complemented
28#34223C211yesmaximal, characteristic, complemented
29#34109C211yesmaximal, characteristic, complemented
30C2×#525C2211yescharacteristic
31C22×#121C2211yescharacteristic
32C22×#117C2211yescharacteristic
33#2863C2212yescomplemented
34#2861C2212yescomplemented
35#2860C2212yescomplemented
36#2859C2212yescomplemented
37#2854C2212yes—
38#2854C2212yes—
39#2842C2212yes—
40#2842C2212yes—
41#2837C2214yescomplemented
42#2837C2214yescomplemented
43#2827C2214yescomplemented
44#2827C2214yescomplemented
45#2813C2214yes—
46#2796C2214yescomplemented
47#2794C2214yescomplemented
48#2786C2214yescomplemented
49#2773C2214yescomplemented
50#2767C2214yescomplemented
51#2761C2214yescomplemented
52#2752C2214yescomplemented
53#2752C2214yescomplemented
54#2749C2214yescomplemented
55#2744C2214yes—
56#2743C2214yescomplemented
57#2738C2214yes—
58#2735C2214yes—
59#2735C2214yes—
60#2721C2214yescomplemented
61#2707C2214yes—
62#2706C2214yescomplemented
63#2705C2214yescomplemented
64#2705C2214yescomplemented
65#2695C2214yescomplemented
66#2694C2214yes—
67#2694C2214yescomplemented
68#2685C2214yes—
69#2685C2214yes—
70#2667C2212yes—
71#2667C2212yes—
72#2667C2214yescomplemented
73#2667C2214yescomplemented
74#2664C2214yescomplemented
75#2654C2214yescomplemented
76#2652C2214yescomplemented
77#2651C2214yescomplemented
78#2651C2214yescomplemented
79#2648C2214yescomplemented
80#2648C2214yescomplemented
81#2647C2212yescomplemented
82#2644C2212yescomplemented
83#2644C2212yescomplemented
84#2641C2212yescomplemented
85#2636C2214yescomplemented
86#2636C2214yescomplemented
87#2635C2214yes—
88#2630C2214yescomplemented
89#2630C2214yescomplemented
90#2629C2212yescomplemented
91#2629C2212yescomplemented
92#2625C2212yes—
93#2625C2211yescharacteristic, complemented
94#2625C2211yescharacteristic, complemented
95#2624C2212yes—
96#2624C2212yes—
97#2624C2212yes—
98#2624C2211yescharacteristic, complemented
99#2624C2211yescharacteristic, complemented
100#2623C2212yescomplemented
101#2623C2212yescomplemented
102#2622C2214yes—
103#2620C2212yes—
104#2619C2212yes—
105#2613C2212yes—
106#2613C2212yes—
107#2609C2214yescomplemented
108#2608C2214yescomplemented
109#2602C2214yescomplemented
110#2601C2214yescomplemented
111#2598C2214yescomplemented
112#2578C2214yescomplemented
113#2575C2214yes—
114#2570C2214yescomplemented
115#2558C2214yescomplemented
116#2553C2214yes—
117#2553C2214yescomplemented
118#2553C2214yescomplemented
119#2553C2214yescomplemented
120#2553C2214yescomplemented
121#2534C2212yes—
122#2534C2212yes—
123#2534C2214yes—
124#2529C2214yescomplemented
125#2526C2214yescomplemented
126#2525C2214yescomplemented
127#2525C2214yescomplemented
128#2524C2214yescomplemented
129#2522C2214yescomplemented
130#2519C2214yescomplemented
131#2519C2214yescomplemented
132#2519C2214yescomplemented
133#2518C2214yescomplemented
134#2518C2214yescomplemented
135#2518C2214yescomplemented
136#2518C2214yescomplemented
137#2517C2214yescomplemented
138#2516C2214yescomplemented
139#2516C2214yescomplemented
140#2515C2214yes—
141#2515C2214yescomplemented
142#2515C2214yescomplemented
143#2512C2212yescomplemented
144#2512C2212yescomplemented
145#2512C2212yescomplemented
146#2511C2212yescomplemented
147#2508C2212yescomplemented
148#2508C2212yescomplemented
149#2507C2212yescomplemented
150#2506C2212yescomplemented
151#2504C2212yes—
152#2503C2211yescharacteristic
153#2501C2211yescharacteristic
154#2501C2212yes—
155#2500C2212yes—
156#2500C2214yes—
157#2495C2214yescomplemented
158#2482C2212yes—
159#2482C2214yes—
160#2482C2212yes—
161#2480C2214yes—
162#2479C2214yescomplemented
163#2471C2214yescomplemented
164#2471C2214yescomplemented
165#2470C2214yes—
166#2467C2214yescomplemented
167#2466C2214yescomplemented
168#2466C2214yescomplemented
169#2460C2214yescomplemented
170#2460C2214yescomplemented
171#2457C2214yescomplemented
172#2454C2212yescomplemented
173#2454C2212yescomplemented
174#2454C2212yescomplemented
175#2453C2212yescomplemented
176#2448C2212yescomplemented
177#2447C2212yescomplemented
178#2445C2212yescomplemented
179#2445C2212yescomplemented
180#2441C2212yes—
181#2441C2212yes—
182#2441C2212yescomplemented
183#2441C2212yescomplemented
184#2441C2214yescomplemented
185#2435C2211yescharacteristic
186#2433C2211yescharacteristic
187#2431C2212yes—
188#2418C2214yes—
189#2405C2214yes—
190#2395C2212yes—
191#2395C2212yes—
192#2395C2214yescomplemented
193#2395C2214yescomplemented
194#2395C2214yescomplemented
195#2392C2214yescomplemented
196#2392C2214yescomplemented
197#2374C2214yescomplemented
198#2373C2214yescomplemented
199#2364C2212yes—
200#2364C2212yes—
201#2363C2212yes—
202#2363C2212yes—
203#2363C2212yes—
204#2362C2212yes—
205#2359C2214yescomplemented
206#2357C2212yes—
207#2353C2212yes—
208#2353C2214yescomplemented
209#2347C2211yescharacteristic
210#2347C2211yescharacteristic
211#2347C2211yescharacteristic, complemented
212#2346C2211yescharacteristic
213#2346C2211yescharacteristic
214#2346C2211yescharacteristic, complemented
215#2346C2214yescomplemented
216#2345C2212yes—
217#2345C2212yescomplemented
218#2344C2212yescomplemented
219#2343C2212yescomplemented
220#2343C2212yescomplemented
221#2342C2212yes—
222#2342C2212yes—
223#2341C2211yescharacteristic, complemented
224#2339C2211yescharacteristic, complemented
225D4×C22⋊C4C2212yes—
226D4×C22⋊C4C2214yes—
227#2333C2214yes—
228#2330C2212yescomplemented
229#2326C2212yescomplemented
230#2321C2214yes—
231#2320C2212yescomplemented
232#2319C2212yescomplemented
233#2318C2212yescomplemented
234#2317C2212yes—
235#2312C2212yes—
236#2309C2212yes—
237C4×#127C2212yescomplemented
238C4×#125C2212yescomplemented
239C4×C22⋊Q8C2212yescomplemented
240C4×#121C2212yes—
241C4×#121C2212yes—
242C4×#121C2212yescomplemented
243#2298C2212yes—
244#2298C2212yes—
245#2297C2212yescomplemented
246#2296C2212yescomplemented
247#2296C2212yescomplemented
248#2293C2212yescomplemented
249#2293C2212yescomplemented
250#2283C2212yescomplemented
251#2280C2211yescharacteristic
252#2280C2211yescharacteristic
253#2280C2211yescharacteristic
254#2275C2212yescomplemented
255#2273C2212yes—
256C4×#117C2212yescomplemented
257C4×#117C2212yescomplemented
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C24×C4C2311yescharacteristic
263C2×#127C2312yes—
264C2×#126C2314yes—
265C2×#126C2314yes—
266C2×#126C2314yes—
267C2×#126C2314yes—
268C2×#125C2312yes—
269C2×#125C2312yes—
270C2×#125C2314yes—
271C2×#125C2314yes—
272C2×#124C2312yes—
273#525—28no—
274C2×#123C2312yes—
275C2×#123C2314yes—
276C2×#123C2314yes—
277C2×#123C2314yes—
278C2×#123C2312yes—
279C2×#123C2312yes—
280C2×#123C2314yes—
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×#121—28no—
284C2×#121C2312yes—
285C2×#121C2312yes—
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2312yes—
289C2×#121C2312yes—
290C2×#120C2312yes—
291C2×#120C2312yes—
292C2×#120C2312yes—
293C2×C4×Q8C2312yes—
294C2×C4×D4C2312yes—
295C2×C4×D4C2312yes—
296C2×C4×D4C2312yes—
297C2×C4×D4C2312yes—
298C2×C4×D4C2314yes—
299C2×C4×D4C2312yes—
300C2×C4×D4C2314yes—
301C2×C4×D4C2314yes—
302C2×C4×D4C2314yes—
303C2×C4×D4C2314yes—
304C2×#117—28no—
305C2×#117C2312yes—
306C2×#117C2312yes—
307C2×#117C2311yescharacteristic
308C2×#117C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C2×#117C2311yescharacteristic
311C2×#117C2311yescharacteristic
312C2×#117C2312yes—
313C2×#117C2312yes—
314C2×#117C2312yes—
315C2×#117C2314yes—
316C2×#117C2312yes—
317C2×#117C2312yes—
318C2×#117C2314yes—
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C22⋊C4C2312yes—
323C22×C22⋊C4C2312yes—
324C22×C22⋊C4C2312yes—
325C22×C22⋊C4C2314yes—
326C22×C42C2312yes—
327C22×C42C2312yes—
328#400C2314yes—
329#400C2314yes—
330#400C2314yes—
331#400C2314yes—
332#400C2314yes—
333#400C2314yes—
334#400C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2312yes—
338#400C2312yes—
339#400C2314yes—
340#399C2314yes—
341#399C2314yes—
342#399C2314yes—
343#399C2312yes—
344#399C2314yes—
345#399C2314yes—
346#399C2314yes—
347#399C2314yes—
348#399C2314yes—
349#399C2314yes—
350#399C2314yes—
351#399C2312yes—
352#399C2314yes—
353#399C2314yes—
354#398C2314yes—
355#398C2314yes—
356#398C2314yes—
357#398C2314yes—
358#398C2314yes—
359#398C2314yes—
360#398C2314yes—
361#398C2314yes—
362#398C2314yes—
363#398C2314yes—
364#398C2312yes—
365#398C2312yes—
366#398C2314yes—
367#398C2314yes—
368#398C2314yes—
369#397C2314yes—
370#397C2314yes—
371#397C2314yes—
372#397C2314yes—
373#397C2314yes—
374#397C2314yes—
375#397C2314yes—
376#397C2312yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2312yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#396C2314yes—
391#396C2314yes—
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#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#392C2314yes—
432#392C2314yes—
433#392C2314yes—
434#392C2314yes—
435#392C2314yes—
436#391C2312yes—
437#391C2312yes—
438#391C2312yes—
439#391C2312yes—
440#390C2312yes—
441#390C2312yes—
442#390C2314yes—
443#390C2314yes—
444#390C2312yes—
445#390C2312yes—
446#390C2312yes—
447#390C2314yes—
448#390C2314yes—
449#390C2312yes—
450#390C2314yes—
451#390C2314yes—
452#390C2314yes—
453#390C2314yes—
454#390C2312yes—
455#390C2312yes—
456#390C2312yes—
457#390C2312yes—
458#390C2312yes—
459#390C2312yes—
460#389C2312yes—
461#389C2312yes—
462#389C2314yes—
463#389C2314yes—
464#389C2312yes—
465#389C2312yes—
466#389C2312yes—
467#389C2312yes—
468#389C2312yes—
469#389C2312yes—
470#389C2312yes—
471#389C2312yes—
472#389C2314yes—
473#389C2314yes—
474#389C2312yes—
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2314yes—
479#389C2312yes—
480#389C2314yes—
481#389C2314yes—
482#389C2312yes—
483#389C2314yes—
484#389C2314yes—
485#389C2314yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2312yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2312yes—
508#388C2312yes—
509#388C2312yes—
510#388C2312yes—
511#388C2312yes—
512#388C2312yes—
513#388C2312yes—
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#388C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2312yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2312yes—
550#387C2312yes—
551#387C2312yes—
552#387C2312yes—
553#387C2312yes—
554#387C2312yes—
555#387C2312yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#385C2314yes—
584#385C2312yes—
585#385C2312yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2312yes—
591#385C2312yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#384C2312yes—
599#384C2314yes—
600#384C2312yes—
601#384C2312yes—
602#383C2312yes—
603#383C2314yes—
604#383C2312yes—
605#383C2314yes—
606#383C2312yes—
607#382C2312yes—
608#382C2314yes—
609#382C2314yes—
610#382C2314yes—
611#382C2312yes—
612#382C2314yes—
613#382C2312yes—
614#382C2312yes—
615#382C2314yes—
616#381C2312yes—
617#381C2314yes—
618#381C2312yes—
619#381C2312yes—
620#381C2312yes—
621#381C2312yes—
622#381C2312yes—
623#381C2312yes—
624#381C2314yes—
625#381C2312yes—
626#380C2314yes—
627#380C2312yes—
628#380C2314yes—
629#380C2312yes—
630#380C2311yescharacteristic
631#380C2311yescharacteristic
632#380C2312yes—
633#380C2312yes—
634#380C2312yes—
635#380C2311yescharacteristic
636#380C2311yescharacteristic
637#380C2314yes—
638#380C2314yes—
639#380C2312yes—
640#380C2311yescharacteristic
641#380C2311yescharacteristic
642#380C2314yes—
643#379C2314yes—
644#379C2314yes—
645#379C2314yes—
646#379C2312yes—
647#379C2312yes—
648#379C2311yescharacteristic
649#379C2311yescharacteristic
650#379C2312yes—
651#379C2312yes—
652C4×C4⋊C4C2314yes—
653C4×C4⋊C4C2312yes—
654C4×C4⋊C4C2312yes—
655C4×C4⋊C4C2314yes—
656C4×C4⋊C4C2314yes—
657C4×C4⋊C4C2312yes—
658C4×C4⋊C4C2312yes—
659C4×C4⋊C4C2312yes—
660C4×C4⋊C4C2312yes—
661C4×C4⋊C4C2312yes—
662C4×C4⋊C4C2312yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2314yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2314yes—
668C4×C4⋊C4C2314yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2312yes—
673C4×C22⋊C4C2311yescharacteristic
674C4×C22⋊C4C2312yes—
675C4×C22⋊C4C2312yes—
676C4×C22⋊C4C2314yes—
677C4×C22⋊C4C2314yes—
678C4×C22⋊C4C2314yes—
679C4×C22⋊C4C2314yes—
680C4×C22⋊C4C2312yes—
681C4×C22⋊C4C2314yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2312yes—
684C4×C22⋊C4C2311yescharacteristic
685C4×C22⋊C4C2311yescharacteristic
686C4×C22⋊C4C2312yes—
687C4×C22⋊C4C2312yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2312yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2311yescharacteristic
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2311yescharacteristic
704C4×C22⋊C4C2311yescharacteristic
705#376C2312yes—
706#376C2312yes—
707#376C2312yes—
708#376C2312yes—
709#376C2312yes—
710C2×#95C2311yescharacteristic
711C2×#95C2312yes—
712C2×#95C2311yescharacteristic
713C43C2312yes—
714C43C2312yes—
715C25C2412yes—
716C25C2411yescharacteristic
717C2×#41—24no—
718C2×#41—44no—
719C22×Q8C2411yescharacteristic
720C22×D4—28no—
721C22×D4—24no—
722C22×D4—44no—
723C22×D4—82no—
724C22×D4—82no—
725C22×D4C2412yes—
726C22×D4C2411yescharacteristic
727C22×D4C2412yes—
728C22×D4C2414yes—
729C22×D4C2412yes—
730C22×D4C2412yes—
731C22×D4C2414yes—
732C22×D4C2412yes—
733C22×D4C2414yes—
734C22×D4C2414yes—
735C23×C4—44no—
736C23×C4#4118yes—
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2412yes—
741C23×C4C2412yes—
742C23×C4C2412yes—
743C23×C4C2414yes—
744C23×C4C2412yes—
745C23×C4C2414yes—
746C23×C4C2412yes—
747C23×C4C2414yes—
748C23×C4C2412yes—
749C23×C4C2411yescharacteristic
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752#127—44no—
753#126—48no—
754#126—84no—
755#126—84no—
756#126—84no—
757#125—44no—
758#125—44no—
759#125—84no—
760#125—84no—
761#124—44no—
762#123—28no—
763#123—48no—
764#123—82no—
765#123—84no—
766#123—84no—
767#123—84no—
768#123—82no—
769C22⋊Q8—24no—
770C22⋊Q8—24no—
771#121—28no—
772#121—28no—
773#121—28no—
774#121—28no—
775#121—24no—
776#121—24no—
777#120—28no—
778#120—82no—
779#120—82no—
780C4×Q8—44no—
781C4×D4—28no—
782C4×D4—28no—
783C4×D4—44no—
784C4×D4—44no—
785C4×D4—44no—
786C4×D4—48no—
787C4×D4—48no—
788C4×D4—84no—
789C4×D4—84no—
790C4×D4—84no—
791#117—28no—
792#117—24no—
793#117—24no—
794#117—24no—
795#117—24no—
796#117—28no—
797#117—24no—
798#117—48no—
799#117—44no—
800#117—44no—
801#117—44no—
802#117—44no—
803#117—44no—
804#117—84no—
805C2×C4⋊C4—24no—
806C2×C4⋊C4—24no—
807C2×C4⋊C4—24no—
808C2×C4⋊C4C2411yescharacteristic
809C2×C4⋊C4C2411yescharacteristic
810C2×C4⋊C4C2412yes—
811C2×C4⋊C4C2412yes—
812C2×C4⋊C4C2411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2412yes—
818C2×C4⋊C4C2412yes—
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2411yescharacteristic
821C2×C4⋊C4C2411yescharacteristic
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C22⋊C4—28no—
862C2×C22⋊C4—28no—
863C2×C22⋊C4—44no—
864C2×C22⋊C4—48no—
865C2×C22⋊C4C2412yes—
866C2×C22⋊C4C2412yes—
867C2×C22⋊C4C2412yes—
868C2×C22⋊C4C2412yes—
869C2×C22⋊C4C2412yes—
870C2×C22⋊C4C2412yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2412yes—
875C2×C22⋊C4C2412yes—
876C2×C22⋊C4C2412yes—
877C2×C22⋊C4C2412yes—
878C2×C22⋊C4C2412yes—
879C2×C22⋊C4C2412yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
905C2×C22⋊C4C2411yescharacteristic
906C2×C22⋊C4C2411yescharacteristic
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2411yescharacteristic
910C2×C22⋊C4C2411yescharacteristic
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C42—28no—
926C2×C42—44no—
927C2×C42C2412yes—
928C2×C42C2412yes—
929C2×C42C2412yes—
930C2×C42C2412yes—
931C2×C42C2412yes—
932C2×C42C2412yes—
933C2×C42C2412yes—
934C2×C42C2414yes—
935C2×C42C2412yes—
936C2×C42C2412yes—
937C2×C42C2412yes—
938C2×C42C2412yes—
939C2×C42C2412yes—
940C2×C42C2414yes—
941C2×C42C2412yes—
942C2×C42C2412yes—
943C2×C42C2414yes—
944C2×C42C2414yes—
945C2×C42C2412yes—
946C2×C42C2414yes—
947C2×C42C2414yes—
948C2×C42C2412yes—
949C2×C42C2414yes—
950C2×C42C2412yes—
951C2×C42C2412yes—
952C2×C42C2412yes—
953#95C2411yescharacteristic
954#95C2411yescharacteristic
955#95C2411yescharacteristic
956#95C2411yescharacteristic
957#95C2412yes—
958#95C2412yes—
959#95C2412yes—
960#95C2414yes—
961#95C2412yes—
962#95C2414yes—
963#95C2412yes—
964#95C2412yes—
965#95C2412yes—
966#95C2412yes—
967#95C2412yes—
968#95C2412yes—
969#95C2412yes—
970#95C2412yes—
971#95C2412yes—
972#95C2412yes—
973#95C2412yes—
974#95C2412yes—
975#95C2412yes—
976#95C2412yes—
977#95C2412yes—
978#95C2412yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2412yes—
985#95C2412yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2412yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2412yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015C24—24no—
1016C24—42no—
1017C24—42no—
1018C24—41no—
1019C24—41no—
1020C24—44no—
1021C24—42no—
1022C24—42no—
1023C24—44no—
1024C24C2×#4114yes—
1025C24C2514yes—
1026C24C2512yes—
1027C24C2511yescharacteristic
1028C24C2511yescharacteristic
1029C24C2511yescharacteristic
1030#41—88no—
1031C2×Q8—22no—
1032C2×Q8—24no—
1033C2×D4—24no—
1034C2×D4—28no—
1035C2×D4—24no—
1036C2×D4—24no—
1037C2×D4—28no—
1038C2×D4—24no—
1039C2×D4—22no—
1040C2×D4—24no—
1041C2×D4—24no—
1042C2×D4—24no—
1043C2×D4—24no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—42no—
1050C2×D4—44no—
1051C2×D4—42no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—88no—
1060C2×D4—816no—
1061C22×C4—24no—
1062C22×C4—24no—
1063C22×C4—24no—
1064C22×C4—24no—
1065C22×C4—24no—
1066C22×C4—24no—
1067C22×C4—24no—
1068C22×C4—28no—
1069C22×C4—24no—
1070C22×C4—28no—
1071C22×C4—416no—
1072C22×C4—42no—
1073C22×C4—42no—
1074C22×C4—42no—
1075C22×C4—42no—
1076C22×C4—42no—
1077C22×C4—42no—
1078C22×C4—42no—
1079C22×C4—42no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—42no—
1084C22×C4—44no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—44no—
1091C22×C4—44no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4C2×#4114yes—
1095C22×C4C2×#4114yes—
1096C22×C4C2×#4114yes—
1097C22×C4C2×#4114yes—
1098C22×C4C2×#4114yes—
1099C22×C4C2×#4114yes—
1100C22×C4C2512yes—
1101C22×C4C2512yes—
1102C22×C4C2512yes—
1103C22×C4C2512yes—
1104C22×C4C2512yes—
1105C22×C4C2512yes—
1106C22×C4C2512yes—
1107C22×C4C2514yes—
1108C22×C4C2512yes—
1109C22×C4C2512yes—
1110C22×C4C2514yes—
1111C22×C4C2514yes—
1112C22×C4C2514yes—
1113C22×C4C2512yes—
1114C22×C4C2514yes—
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2511yescharacteristic
1120C22×C4C2511yescharacteristic
1121C22×C4C2511yescharacteristic
1122C22×C4C2512yes—
1123C22×C4C2511yescharacteristic
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—24no—
1129C4⋊C4—24no—
1130C4⋊C4—24no—
1131C4⋊C4—24no—
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—24no—
1135C4⋊C4—24no—
1136C4⋊C4—24no—
1137C4⋊C4—24no—
1138C4⋊C4—24no—
1139C4⋊C4—24no—
1140C4⋊C4—24no—
1141C4⋊C4—24no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—42no—
1147C4⋊C4—42no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C4⋊C4—44no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—42no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—42no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C22⋊C4—24no—
1178C22⋊C4—24no—
1179C22⋊C4—24no—
1180C22⋊C4—24no—
1181C22⋊C4—24no—
1182C22⋊C4—24no—
1183C22⋊C4—24no—
1184C22⋊C4—28no—
1185C22⋊C4—28no—
1186C22⋊C4—24no—
1187C22⋊C4—24no—
1188C22⋊C4—24no—
1189C22⋊C4—24no—
1190C22⋊C4—28no—
1191C22⋊C4—42no—
1192C22⋊C4—42no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—42no—
1200C22⋊C4—42no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—42no—
1213C22⋊C4—42no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C42—24no—
1238C42—24no—
1239C42—24no—
1240C42—24no—
1241C42—24no—
1242C42—24no—
1243C42—24no—
1244C42—24no—
1245C42—24no—
1246C42—28no—
1247C42—24no—
1248C42—24no—
1249C42—42no—
1250C42—42no—
1251C42—44no—
1252C42—44no—
1253C42—42no—
1254C42—42no—
1255C42—42no—
1256C42—44no—
1257C42—42no—
1258C42—44no—
1259C42—44no—
1260C42—42no—
1261C42—44no—
1262C42—42no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—22no—
1276C23—24no—
1277C23—24no—
1278C23—24no—
1279C23—24no—
1280C23—24no—
1281C23—24no—
1282C23—24no—
1283C23—22no—
1284C23—22no—
1285C23—24no—
1286C23—24no—
1287C23—44no—
1288C23—44no—
1289C23—44no—
1290C23—48no—
1291C23—84no—
1292C23—84no—
1293C23—84no—
1294C23—84no—
1295C23—164no—
1296C23—164no—
1297C23C22×#4112yes—
1298C23C22×#4112yes—
1299C23C22×#4112yes—
1300C23C2611yescharacteristic
1301Q8—44no—
1302D4—48no—
1303D4—416no—
1304D4—48no—
1305D4—44no—
1306D4—84no—
1307D4—84no—
1308D4—88no—
1309D4—84no—
1310D4—88no—
1311D4—88no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—28no—
1318C2×C4—28no—
1319C2×C4—28no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—24no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—24no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—24no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—24no—
1343C2×C4—22no—
1344C2×C4—24no—
1345C2×C4—24no—
1346C2×C4—24no—
1347C2×C4—24no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—24no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—24no—
1354C2×C4—24no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—24no—
1365C2×C4—24no—
1366C2×C4—24no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—24no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—44no—
1376C2×C4—44no—
1377C2×C4—44no—
1378C2×C4—48no—
1379C2×C4—84no—
1380C2×C4—88no—
1381C2×C4—88no—
1382C2×C4—84no—
1383C2×C4—84no—
1384C2×C4—84no—
1385C2×C4—84no—
1386C2×C4—164no—
1387C2×C4C22×#4112yes—
1388C2×C4C22×#4112yes—
1389C2×C4C22×#4112yes—
1390C2×C4C22×#4112yes—
1391C2×C4#58514yes—
1392C2×C4#58514yes—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—42no—
1403C22—42no—
1404C22—42no—
1405C22—42no—
1406C22—42no—
1407C22—42no—
1408C22—42no—
1409C22—44no—
1410C22—44no—
1411C22—42no—
1412C22—44no—
1413C22—44no—
1414C22—44no—
1415C22—44no—
1416C22—44no—
1417C22—44no—
1418C22—42no—
1419C22—44no—
1420C22—88no—
1421C22—168no—
1422C22C23×#4111yescharacteristic
1423C22C2×#58512yes—
1424C22C2×#58512yes—
1425C22H(7,𝔽2)11yescharacteristic
1426C22H(7,𝔽2)11yescharacteristic
1427C4—22no—
1428C4—22no—
1429C4—22no—
1430C4—24no—
1431C4—42no—
1432C4—42no—
1433C4—42no—
1434C4—44no—
1435C4—42no—
1436C4—44no—
1437C4—42no—
1438C4—42no—
1439C4—42no—
1440C4—44no—
1441C4—42no—
1442C4—42no—
1443C4—42no—
1444C4—44no—
1445C4—44no—
1446C4—42no—
1447C4—42no—
1448C4—42no—
1449C4—42no—
1450C4#349114yes—
1451C2—42no—
1452C2—42no—
1453C2—42no—
1454C2—82no—
1455C2—84no—
1456C2#6268611yescharacteristic
1457C2C2×#349111yescharacteristic
1458C2#6285511yescharacteristic
1459C2#6293712yes—
1460C2#6294112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37448C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #41710C2semidirect
2. #41695C2semidirect
3. #41442C2semidirect
4. #41437C2semidirect
5. #41397C2semidirect
6. #40928C2semidirect
7. #40913C2semidirect
8. #39081C2semidirect
9. #39066C2semidirect
10. #38260C2semidirect
11. #38254C2semidirect
12. #38073C2semidirect
13. #38061C2semidirect
14. #37524C2semidirect
15. #37520C2semidirect
16. #37481C2semidirect
18. #36391C2semidirect
19. #36366C2semidirect
20. #36063C2semidirect
21. #35851C2semidirect
22. #35755C2semidirect
23. #35269C2semidirect
24. #35262C2semidirect
25. #34635C2semidirect
26. #34621C2semidirect
27. #34246C2semidirect
28. #34223C2semidirect
29. #34109C2semidirect
33. #2863C22semidirect
34. #2861C22semidirect
35. #2860C22semidirect
36. #2859C22semidirect
41. #2837C22semidirect
42. #2837C22semidirect
43. #2827C22semidirect
44. #2827C22semidirect
46. #2796C22semidirect
47. #2794C22semidirect
48. #2786C22semidirect
49. #2773C22semidirect
50. #2767C22semidirect
51. #2761C22semidirect
52. #2752C22semidirect
53. #2752C22semidirect
54. #2749C22semidirect
56. #2743C22semidirect
60. #2721C22semidirect
62. #2706C22semidirect
63. #2705C22semidirect
64. #2705C22semidirect
65. #2695C22semidirect
67. #2694C22semidirect
72. #2667C22semidirect
73. #2667C22semidirect
74. #2664C22semidirect
75. #2654C22semidirect
76. #2652C22semidirect
77. #2651C22semidirect
78. #2651C22semidirect
79. #2648C22semidirect
80. #2648C22semidirect
81. #2647C22semidirect
82. #2644C22semidirect
83. #2644C22semidirect
84. #2641C22semidirect
85. #2636C22semidirect
86. #2636C22semidirect
88. #2630C22semidirect
89. #2630C22semidirect
90. #2629C22semidirect
91. #2629C22semidirect
93. #2625C22semidirect
94. #2625C22semidirect
98. #2624C22semidirect
99. #2624C22semidirect
100. #2623C22semidirect
101. #2623C22semidirect
107. #2609C22semidirect
108. #2608C22semidirect
109. #2602C22semidirect
110. #2601C22semidirect
111. #2598C22semidirect
112. #2578C22semidirect
114. #2570C22semidirect
115. #2558C22semidirect
117. #2553C22semidirect
118. #2553C22semidirect
119. #2553C22semidirect
120. #2553C22semidirect
124. #2529C22semidirect
125. #2526C22semidirect
126. #2525C22semidirect
127. #2525C22semidirect
128. #2524C22semidirect
129. #2522C22semidirect
130. #2519C22semidirect
131. #2519C22semidirect
132. #2519C22semidirect
133. #2518C22semidirect
134. #2518C22semidirect
135. #2518C22semidirect
136. #2518C22semidirect
137. #2517C22semidirect
138. #2516C22semidirect
139. #2516C22semidirect
141. #2515C22semidirect
142. #2515C22semidirect
143. #2512C22semidirect
144. #2512C22semidirect
145. #2512C22semidirect
146. #2511C22semidirect
147. #2508C22semidirect
148. #2508C22semidirect
149. #2507C22semidirect
150. #2506C22semidirect
157. #2495C22semidirect
162. #2479C22semidirect
163. #2471C22semidirect
164. #2471C22semidirect
166. #2467C22semidirect
167. #2466C22semidirect
168. #2466C22semidirect
169. #2460C22semidirect
170. #2460C22semidirect
171. #2457C22semidirect
172. #2454C22semidirect
173. #2454C22semidirect
174. #2454C22semidirect
175. #2453C22semidirect
176. #2448C22semidirect
177. #2447C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
182. #2441C22semidirect
183. #2441C22semidirect
184. #2441C22semidirect
192. #2395C22semidirect
193. #2395C22semidirect
194. #2395C22semidirect
195. #2392C22semidirect
196. #2392C22semidirect
197. #2374C22semidirect
198. #2373C22semidirect
205. #2359C22semidirect
208. #2353C22semidirect
211. #2347C22semidirect
214. #2346C22semidirect
215. #2346C22semidirect
217. #2345C22semidirect
218. #2344C22semidirect
219. #2343C22semidirect
220. #2343C22semidirect
223. #2341C22semidirect
224. #2339C22semidirect
228. #2330C22semidirect
229. #2326C22semidirect
231. #2320C22semidirect
232. #2319C22semidirect
233. #2318C22semidirect
237. C4×#127C22semidirect
238. C4×#125C22semidirect
239. C4×C22⋊Q8C22semidirect
242. C4×#121C22semidirect
245. #2297C22semidirect
246. #2296C22semidirect
247. #2296C22semidirect
248. #2293C22semidirect
249. #2293C22semidirect
250. #2283C22semidirect
254. #2275C22semidirect
256. C4×#117C22semidirect
257. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#417102
#416952
#414422
#414372
#413972
#409282
#409132
#390812
#390662
#382602
#382542
#380732
#380612
#375242
#375202
#374812
#374482
#363912
#363662
#360632
#358512
#357552
#352692
#352622
#346352
#346212
#342462
#342232
#341092