Finite Group Databasebeta

← #9230955

Subgroups — #9230955

Order 512.

6181 conjugacy classes of subgroups.

The subgroup lattice has 1437 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59816C211yesmaximal, characteristic, complemented
2#57151C212yesmaximal, complemented
3#56302C214yesmaximal, complemented
4#53375C212yesmaximal, complemented
5#50674C212yesmaximal, complemented
6#50635C214yesmaximal, complemented
7#48754C214yesmaximal, complemented
8#48414C214yesmaximal, complemented
9#48091C214yesmaximal, complemented
10#46807C212yesmaximal, complemented
11#46367C214yesmaximal, complemented
12#43886C214yesmaximal, complemented
13#43103C214yesmaximal, complemented
14#43079C212yesmaximal, complemented
15#43023C214yesmaximal, complemented
16#42998C214yesmaximal, complemented
17#39444C212yesmaximal, complemented
18#39355C212yesmaximal, complemented
19#38768C212yesmaximal, complemented
20#37250C212yesmaximal, complemented
21#37249C211yesmaximal, characteristic, complemented
22#36496C212yesmaximal, complemented
23#36370C211yesmaximal, characteristic, complemented
24C2×#559C2212yescomplemented
25C2×#554C2212yescomplemented
26C2×#546C2214yescomplemented
27C2×#546C2214yescomplemented
28C2×D42C2212yes—
29C2×D42C2214yescomplemented
30C2×#538C2214yescomplemented
31C2×#535C2214yescomplemented
32C2×#534C2214yescomplemented
33#2864C2211yescharacteristic, complemented
34#2861C2212yescomplemented
35#2861C2212yescomplemented
36#2860C2212yescomplemented
37#2858C2212yescomplemented
38#2842C2212yescomplemented
39#2826C2212yescomplemented
40#2813C2214yescomplemented
41#2808C2212yescomplemented
42#2804C2211yescharacteristic, complemented
43#2803C2214yescomplemented
44#2795C2212yescomplemented
45#2790C2214yescomplemented
46#2788C2214yescomplemented
47#2781C2214yescomplemented
48#2780C2214yescomplemented
49#2780C2214yescomplemented
50#2779C2214yescomplemented
51#2753C2214yescomplemented
52#2733C2212yescomplemented
53#2732C2212yescomplemented
54#2731C2214yescomplemented
55#2730C2214yescomplemented
56#2718C2214yescomplemented
57#2715C2214yescomplemented
58#2714C2214yescomplemented
59#2712C2214yescomplemented
60#2711C2214yescomplemented
61#2711C2214yescomplemented
62#2710C2214yescomplemented
63#2708C2214yescomplemented
64#2707C2214yescomplemented
65#2706C2214yescomplemented
66#2701C2214yescomplemented
67#2697C2214yescomplemented
68#2691C2214yescomplemented
69#2688C2214yescomplemented
70#2685C2214yescomplemented
71#2685C2214yescomplemented
72#2684C2214yescomplemented
73#2682C2214yescomplemented
74#2682C2212yescomplemented
75#2682C2214yescomplemented
76#2682C2214yescomplemented
77#2682C2214yescomplemented
78#2682C2212yescomplemented
79#2681C2214yescomplemented
80#2679C2212yes—
81#2679C2214yescomplemented
82#2679C2211yescharacteristic, complemented
83#2679C2211yescharacteristic, complemented
84#2679C2211yescharacteristic, complemented
85#2678C2214yescomplemented
86#2676C2214yescomplemented
87#2676C2214yescomplemented
88#2676C2214yescomplemented
89#2675C2214yescomplemented
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2672C2214yescomplemented
94#2671C2214yescomplemented
95#2671C2214yescomplemented
96#2670C2214yescomplemented
97#2670C2214yescomplemented
98#2670C2212yescomplemented
99#2670C2214yescomplemented
100#2670C2214yescomplemented
101#2670C2212yescomplemented
102#2669C2212yes—
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2668C2212yescomplemented
106#2668C2212yescomplemented
107#2665C2212yescomplemented
108#2649C2214yescomplemented
109#2636C2214yescomplemented
110#2635C2212yescomplemented
111#2630C2214yescomplemented
112#2630C2214yescomplemented
113#2620C2214yescomplemented
114#2595C2214yescomplemented
115#2580C2211yescharacteristic, complemented
116#2580C2211yescharacteristic, complemented
117#2579C2214yescomplemented
118#2567C2212yescomplemented
119#2566C2212yescomplemented
120#2566C2212yescomplemented
121#2559C2214yescomplemented
122#2559C2214yescomplemented
123#2555C2214yescomplemented
124#2549C2212yescomplemented
125#2544C2212yescomplemented
126#2544C2214yescomplemented
127#2544C2212yescomplemented
128#2543C2214yescomplemented
129#2541C2212yes—
130#2539C2214yescomplemented
131#2537C2214yescomplemented
132#2537C2212yescomplemented
133#2507C2212yescomplemented
134#2479C2214yescomplemented
135#2477C2214yescomplemented
136#2472C2214yescomplemented
137#2472C2214yescomplemented
138#2472C2214yescomplemented
139#2468C2214yescomplemented
140#2464C2214yescomplemented
141#2464C2214yescomplemented
142#2463C2212yescomplemented
143#2461C2214yescomplemented
144#2461C2214yescomplemented
145#2461C2214yescomplemented
146#2461C2214yescomplemented
147#2460C2214yescomplemented
148#2459C2214yescomplemented
149#2458C2214yescomplemented
150#2458C2214yescomplemented
151#2456C2214yescomplemented
152#2455C2214yescomplemented
153#2455C2214yescomplemented
154#2450C2214yescomplemented
155#2445C2212yes—
156#2443C2214yescomplemented
157#2437C2212yescomplemented
158#2437C2214yescomplemented
159#2433C2212yescomplemented
160#2433C2214yescomplemented
161#2432C2214yescomplemented
162#2430C2214yescomplemented
163#2430C2214yescomplemented
164#2428C2214yescomplemented
165#2426C2214yescomplemented
166#2426C2214yescomplemented
167#2426C2214yescomplemented
168#2425C2214yescomplemented
169#2424C2214yescomplemented
170#2424C2214yescomplemented
171#2424C2214yescomplemented
172#2424C2214yescomplemented
173#2424C2214yescomplemented
174#2424C2214yescomplemented
175#2424C2214yescomplemented
176#2424C2214yescomplemented
177#2424C2214yescomplemented
178#2424C2214yescomplemented
179#2418C2214yescomplemented
180#2416C2214yescomplemented
181#2411C2214yescomplemented
182#2410C2214yescomplemented
183#2410C2214yescomplemented
184#2410C2214yescomplemented
185#2410C2214yescomplemented
186#2408C2212yes—
187#2408C2214yescomplemented
188#2408C2214yescomplemented
189#2408C2212yescomplemented
190#2408C2214yescomplemented
191#2407C2214yescomplemented
192#2405C2214yescomplemented
193#2405C2214yescomplemented
194#2403C2214yescomplemented
195C2×#394C2214yescomplemented
196C2×#392C2212yescomplemented
197#2377C2212yescomplemented
198#2376C2214yescomplemented
199#2361C2214yescomplemented
200#2361C2214yescomplemented
201#2359C2214yescomplemented
202#2358C2214yescomplemented
203#2358C2214yescomplemented
204#2357C2211yescharacteristic, complemented
205#2349C2211yescharacteristic, complemented
206D4×C22⋊C4C2212yescomplemented
207#2329C2214yescomplemented
208#2325C2214yescomplemented
209#2321C2214yescomplemented
210#2321C2212yescomplemented
211#2315C2212yescomplemented
212#2308C2212yescomplemented
213C4×#127C2211yescharacteristic
214C4×#127C2212yescomplemented
215C4×#127C2212yescomplemented
216C4×#124C2212yescomplemented
217#2293C2212yescomplemented
218C42×Q8C2211yescharacteristic, complemented
219C22×#41C2314yes—
220C23×D4C2312yes—
221C23×D4C2312yes—
222C23×D4C2314yes—
223C23×D4C2314yes—
224C23×D4C2314yes—
225#559—48no—
226#554—48no—
227#546—416no—
228#546—416no—
229D42—48no—
230D42—416no—
231#538—416no—
232#535—416no—
233#534—416no—
234C2×C4⋊Q8C2312yes—
235C2×#127C2311yescharacteristic
236C2×#127C2312yes—
237C2×#127C2312yes—
238C2×#127C2312yes—
239C2×#127C2314yes—
240C2×#126C2314yes—
241C2×#126C2314yes—
242C2×#125C2312yes—
243C2×#125C2312yes—
244C2×#124C2312yes—
245C2×#124C2314yes—
246C2×#124C2314yes—
247C2×#124C2312yes—
248C2×#124C2312yes—
249C2×#124C2314yes—
250C2×#124C2314yes—
251C2×#124C2314yes—
252C2×#124C2314yes—
253C2×#123C2314yes—
254C2×#123C2314yes—
255C2×#123C2314yes—
256C2×#123C2314yes—
257C2×#123C2314yes—
258C2×#123C2314yes—
259C2×#123C2314yes—
260C2×#123C2314yes—
261C2×#123C2314yes—
262C2×#123C2314yes—
263C2×C22⋊Q8C2314yes—
264C2×C22⋊Q8C2314yes—
265C2×C22⋊Q8C2314yes—
266C2×C22⋊Q8C2314yes—
267C2×C22⋊Q8C2314yes—
268C2×#121C2314yes—
269C2×#121C2314yes—
270C2×#121C2314yes—
271C2×#121C2314yes—
272C2×#121C2312yes—
273C2×#121C2314yes—
274C2×#121C2314yes—
275C2×#121C2314yes—
276C2×#121C2314yes—
277C2×#121C2314yes—
278C2×#121C2314yes—
279C2×#121C2314yes—
280C2×#121C2314yes—
281C2×#121C2314yes—
282C2×#121C2314yes—
283C2×#121C2314yes—
284C2×#121C2314yes—
285C2×#121C2314yes—
286C2×#121C2314yes—
287C2×#121C2314yes—
288C2×#121C2314yes—
289C2×#121C2314yes—
290C2×#121C2314yes—
291C2×#120C2314yes—
292C2×#120C2312yes—
293C2×#120C2314yes—
294C2×#120C2314yes—
295C2×#120C2314yes—
296C2×#120C2314yes—
297C2×#120C2314yes—
298C2×#120C2314yes—
299C2×#120C2314yes—
300C2×#120C2314yes—
301C2×#120C2314yes—
302C2×#120C2314yes—
303C2×#120C2312yes—
304C2×#120C2312yes—
305C2×#120C2314yes—
306C2×#120C2314yes—
307C2×#120C2314yes—
308C2×#120C2314yes—
309C2×C4×Q8C2312yes—
310C2×C4×Q8C2312yes—
311C2×C4×Q8C2311yescharacteristic
312C2×C4×D4C2312yes—
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2314yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2314yes—
321C2×C4×D4C2314yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2314yes—
324C2×C4×D4C2314yes—
325C2×C4×D4C2314yes—
326C2×C4×D4C2314yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2314yes—
329C2×#117C2314yes—
330C22×C4⋊C4C2314yes—
331C22×C22⋊C4C2314yes—
332C22×C22⋊C4C2312yes—
333C22×C22⋊C4C2314yes—
334C22×C22⋊C4C2314yes—
335C22×C22⋊C4C2314yes—
336C22×C22⋊C4C2314yes—
337C22×C22⋊C4C2314yes—
338#400C2314yes—
339#400C2312yes—
340#400C2314yes—
341#400C2314yes—
342#399C2312yes—
343#399C2312yes—
344#399C2312yes—
345#399C2314yes—
346#399C2314yes—
347#399C2314yes—
348#398C2314yes—
349#398C2314yes—
350#398C2314yes—
351#398C2314yes—
352#398C2314yes—
353#397C2314yes—
354#397C2314yes—
355#397C2314yes—
356#397C2314yes—
357#397C2314yes—
358#397C2314yes—
359#396C2314yes—
360#396C2314yes—
361#396C2314yes—
362#396C2314yes—
363#396C2314yes—
364#396C2314yes—
365#396C2314yes—
366#396C2314yes—
367#396C2314yes—
368#396C2314yes—
369#396C2314yes—
370#396C2314yes—
371#396C2314yes—
372#396C2314yes—
373#396C2314yes—
374#395C2314yes—
375#395C2314yes—
376#394C2314yes—
377#394C2314yes—
378#394C2314yes—
379#394C2314yes—
380#394C2314yes—
381#394C2314yes—
382#394C2314yes—
383#394C2314yes—
384#394C2314yes—
385#394C2314yes—
386#394C2314yes—
387#394C2314yes—
388#394C2314yes—
389#394C2312yes—
390#394C2314yes—
391#394C2314yes—
392#394C2314yes—
393#394C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2312yes—
407#394C2312yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#393C2312yes—
418#393C2312yes—
419#393C2314yes—
420#393C2314yes—
421#393C2314yes—
422#393C2314yes—
423#392C2312yes—
424#392C2314yes—
425#392C2314yes—
426#392C2312yes—
427#392C2314yes—
428#392C2314yes—
429#392C2314yes—
430#392C2314yes—
431#392C2314yes—
432#392C2314yes—
433#392C2314yes—
434#392C2314yes—
435#392C2314yes—
436#392C2314yes—
437#392C2312yes—
438#392C2314yes—
439#392C2314yes—
440#392C2314yes—
441#392C2314yes—
442#392C2314yes—
443#392C2314yes—
444#392C2314yes—
445#392C2314yes—
446#391C2312yes—
447#391C2312yes—
448#391C2314yes—
449#391C2314yes—
450#391C2312yes—
451#390C2311yescharacteristic
452#390C2314yes—
453#390C2311yescharacteristic
454#390C2312yes—
455#390C2312yes—
456#390C2312yes—
457#390C2314yes—
458#390C2314yes—
459#390C2314yes—
460#390C2314yes—
461#390C2312yes—
462#390C2312yes—
463#390C2312yes—
464#390C2312yes—
465#390C2312yes—
466#390C2314yes—
467#390C2314yes—
468#390C2312yes—
469#390C2314yes—
470#390C2314yes—
471#390C2314yes—
472#390C2314yes—
473#390C2312yes—
474#390C2314yes—
475#390C2314yes—
476#390C2314yes—
477#390C2314yes—
478#390C2314yes—
479#389C2314yes—
480#389C2314yes—
481#389C2312yes—
482#389C2312yes—
483#389C2314yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2314yes—
488#389C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#387C2314yes—
520#387C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#386C2314yes—
529#386C2314yes—
530#386C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2312yes—
534#386C2314yes—
535#386C2314yes—
536#386C2314yes—
537#386C2314yes—
538#386C2314yes—
539#386C2314yes—
540#386C2314yes—
541#386C2314yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yes—
545#386C2314yes—
546#386C2314yes—
547#386C2314yes—
548#386C2314yes—
549#386C2314yes—
550#386C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#386C2314yes—
557#386C2314yes—
558#385C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2312yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
574#385C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2314yes—
580#385C2314yes—
581#385C2314yes—
582#384C2311yescharacteristic
583#384C2312yes—
584#384C2312yes—
585#382C2312yes—
586#382C2311yescharacteristic
587#382C2311yescharacteristic
588#381C2312yes—
589#381C2312yes—
590#380C2312yes—
591#380C2312yes—
592#380C2314yes—
593#380C2314yes—
594#380C2314yes—
595#380C2314yes—
596#380C2314yes—
597#380C2312yes—
598#379C2314yes—
599#379C2314yes—
600#379C2312yes—
601#379C2314yes—
602#379C2312yes—
603#379C2314yes—
604#379C2314yes—
605#379C2312yes—
606C4×C4⋊C4C2312yes—
607C4×C4⋊C4C2312yes—
608C4×C4⋊C4C2312yes—
609C4×C4⋊C4C2312yes—
610C4×C4⋊C4C2311yescharacteristic
611C4×C4⋊C4C2312yes—
612C4×C22⋊C4C2312yes—
613C4×C22⋊C4C2314yes—
614C4×C22⋊C4C2314yes—
615C4×C22⋊C4C2314yes—
616C4×C22⋊C4C2312yes—
617C4×C22⋊C4C2314yes—
618C4×C22⋊C4C2314yes—
619C2×#95C2314yes—
620C2×#95C2312yes—
621C43C2311yescharacteristic
622C43C2312yes—
623C25C2412yes—
624C25C2414yes—
625C25C2412yes—
626C25C2412yes—
627C2×#41—48no—
628C2×#41—48no—
629C2×#41—48no—
630C22×Q8C2411yescharacteristic
631C22×Q8C2412yes—
632C22×Q8C2414yes—
633C22×D4—48no—
634C22×D4—48no—
635C22×D4—48no—
636C22×D4—44no—
637C22×D4—44no—
638C22×D4—48no—
639C22×D4—48no—
640C22×D4—48no—
641C22×D4—48no—
642C22×D4—48no—
643C22×D4—48no—
644C22×D4—48no—
645C22×D4—48no—
646C22×D4C2412yes—
647C22×D4C2414yes—
648C22×D4C2414yes—
649C22×D4C2414yes—
650C22×D4C2414yes—
651C22×D4C2414yes—
652C22×D4C2412yes—
653C22×D4C2411yescharacteristic
654C22×D4C2414yes—
655C22×D4C2414yes—
656C22×D4C2414yes—
657C22×D4C2412yes—
658C22×D4C2414yes—
659C22×D4C2414yes—
660C22×D4C2414yes—
661C22×D4C2414yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C22×D4C2412yes—
669C22×D4C2412yes—
670C22×D4C2414yes—
671C22×D4C2411yescharacteristic
672C22×D4C2412yes—
673C23×C4C2414yes—
674C23×C4C2414yes—
675C23×C4C2414yes—
676C23×C4C2412yes—
677C23×C4C2414yes—
678C23×C4C2414yes—
679C23×C4C2412yes—
680C23×C4C2412yes—
681C23×C4C2414yes—
682C23×C4C2414yes—
683C23×C4C2414yes—
684C23×C4C2414yes—
685C4⋊Q8—44no—
686#127—28no—
687#127—24no—
688#127—28no—
689#127—44no—
690#127—48no—
691#126—48no—
692#126—48no—
693#125—44no—
694#125—44no—
695#124—28no—
696#124—48no—
697#124—48no—
698#124—44no—
699#124—44no—
700#124—48no—
701#124—48no—
702#124—48no—
703#124—48no—
704#123—216no—
705#123—216no—
706#123—48no—
707#123—48no—
708#123—48no—
709#123—48no—
710#123—48no—
711#123—48no—
712#123—48no—
713#123—48no—
714C22⋊Q8—216no—
715C22⋊Q8—48no—
716C22⋊Q8—48no—
717C22⋊Q8—48no—
718C22⋊Q8—48no—
719#121—216no—
720#121—216no—
721#121—44no—
722#121—48no—
723#121—48no—
724#121—48no—
725#121—48no—
726#121—48no—
727#121—48no—
728#121—48no—
729#121—48no—
730#121—48no—
731#121—48no—
732#121—48no—
733#121—48no—
734#121—48no—
735#121—48no—
736#121—48no—
737#121—48no—
738#121—48no—
739#121—48no—
740#121—48no—
741#121—48no—
742#120—216no—
743#120—216no—
744#120—216no—
745#120—28no—
746#120—48no—
747#120—48no—
748#120—48no—
749#120—48no—
750#120—48no—
751#120—48no—
752#120—44no—
753#120—48no—
754#120—44no—
755#120—48no—
756#120—48no—
757#120—48no—
758#120—48no—
759#120—48no—
760C4×Q8—28no—
761C4×Q8—42no—
762C4×Q8—44no—
763C4×D4—28no—
764C4×D4—48no—
765C4×D4—48no—
766C4×D4—48no—
767C4×D4—48no—
768C4×D4—48no—
769C4×D4—44no—
770C4×D4—44no—
771C4×D4—44no—
772C4×D4—42no—
773C4×D4—42no—
774C4×D4—44no—
775C4×D4—44no—
776C4×D4—48no—
777C4×D4—48no—
778C4×D4—48no—
779C4×D4—48no—
780#117—48no—
781C2×C4⋊C4—48no—
782C2×C4⋊C4C2412yes—
783C2×C4⋊C4C2414yes—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2412yes—
788C2×C4⋊C4C2412yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2412yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2414yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2412yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2412yes—
802C2×C4⋊C4C2412yes—
803C2×C4⋊C4C2412yes—
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2411yescharacteristic
806C2×C4⋊C4C2411yescharacteristic
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2412yes—
817C2×C22⋊C4—44no—
818C2×C22⋊C4—48no—
819C2×C22⋊C4—48no—
820C2×C22⋊C4—48no—
821C2×C22⋊C4—48no—
822C2×C22⋊C4—48no—
823C2×C22⋊C4—48no—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2412yes—
826C2×C22⋊C4C2414yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2412yes—
870C2×C22⋊C4C2412yes—
871C2×C22⋊C4C2412yes—
872C2×C22⋊C4C2412yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2414yes—
888C2×C42C2412yes—
889C2×C42C2412yes—
890C2×C42C2411yescharacteristic
891C2×C42C2412yes—
892C2×C42C2412yes—
893C2×C42C2412yes—
894C2×C42C2411yescharacteristic
895C2×C42C2412yes—
896C2×C42C2412yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899C2×C42C2414yes—
900C2×C42C2414yes—
901C2×C42C2412yes—
902C2×C42C2411yescharacteristic
903#95C2411yescharacteristic
904#95C2412yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2412yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2411yescharacteristic
923#95C2412yes—
924#95C2412yes—
925#95C2414yes—
926#95C2412yes—
927#95C2412yes—
928#95C2414yes—
929#95C2412yes—
930#95C2414yes—
931#95C2412yes—
932#95C2412yes—
933#95C2412yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938C24—24no—
939C24—28no—
940C24—28no—
941C24—28no—
942C24—44no—
943C24—42no—
944C24—42no—
945C24—42no—
946C24—44no—
947C24—44no—
948C24—44no—
949C24—42no—
950C24—44no—
951C24—42no—
952C24—44no—
953C24—44no—
954C24—42no—
955C24—44no—
956C24—44no—
957C24—44no—
958C24—42no—
959C24—42no—
960C24C2512yes—
961C24C2514yes—
962C24C2514yes—
963C24C2512yes—
964C24C2514yes—
965#41—832no—
966C2×Q8—24no—
967C2×Q8—28no—
968C2×Q8—24no—
969C2×Q8—41no—
970C2×Q8—42no—
971C2×Q8—44no—
972C2×Q8—44no—
973C2×Q8—42no—
974C2×D4—28no—
975C2×D4—28no—
976C2×D4—28no—
977C2×D4—28no—
978C2×D4—28no—
979C2×D4—28no—
980C2×D4—28no—
981C2×D4—28no—
982C2×D4—28no—
983C2×D4—28no—
984C2×D4—28no—
985C2×D4—28no—
986C2×D4—28no—
987C2×D4—28no—
988C2×D4—28no—
989C2×D4—28no—
990C2×D4—28no—
991C2×D4—22no—
992C2×D4—24no—
993C2×D4—28no—
994C2×D4—24no—
995C2×D4—28no—
996C2×D4—28no—
997C2×D4—42no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—41no—
1004C2×D4—42no—
1005C2×D4—41no—
1006C2×D4—42no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—44no—
1012C2×D4—41no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—42no—
1034C2×D4—44no—
1035C2×D4—41no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—42no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—832no—
1051C2×D4—816no—
1052C2×D4—832no—
1053C2×D4—832no—
1054C2×D4—816no—
1055C2×D4H(5,𝔽2)14yes—
1056C2×D4H(5,𝔽2)18yes—
1057C22×C4—28no—
1058C22×C4—28no—
1059C22×C4—28no—
1060C22×C4—28no—
1061C22×C4—28no—
1062C22×C4—28no—
1063C22×C4—24no—
1064C22×C4—24no—
1065C22×C4—44no—
1066C22×C4—44no—
1067C22×C4—44no—
1068C22×C4—44no—
1069C22×C4—44no—
1070C22×C4—44no—
1071C22×C4—44no—
1072C22×C4—44no—
1073C22×C4—44no—
1074C22×C4—44no—
1075C22×C4—44no—
1076C22×C4—44no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—44no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—42no—
1086C22×C4—44no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4C2514yes—
1091C22×C4C2514yes—
1092C22×C4C2512yes—
1093C22×C4C2512yes—
1094C22×C4C2514yes—
1095C22×C4C2514yes—
1096C22×C4C2514yes—
1097C22×C4C2512yes—
1098C22×C4C2512yes—
1099C22×C4C2514yes—
1100C22×C4C2514yes—
1101C22×C4C2511yescharacteristic
1102C22×C4C2512yes—
1103C22×C4C2512yes—
1104C22×C4C2511yescharacteristic
1105C22×C4C2512yes—
1106C22×C4C2512yes—
1107C22×C4C2511yescharacteristic
1108C4⋊C4—24no—
1109C4⋊C4—28no—
1110C4⋊C4—28no—
1111C4⋊C4—24no—
1112C4⋊C4—28no—
1113C4⋊C4—28no—
1114C4⋊C4—24no—
1115C4⋊C4—28no—
1116C4⋊C4—24no—
1117C4⋊C4—44no—
1118C4⋊C4—44no—
1119C4⋊C4—42no—
1120C4⋊C4—44no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—42no—
1124C4⋊C4—44no—
1125C4⋊C4—44no—
1126C4⋊C4—44no—
1127C4⋊C4—44no—
1128C4⋊C4—44no—
1129C4⋊C4—44no—
1130C4⋊C4—42no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—41no—
1134C4⋊C4—42no—
1135C4⋊C4—44no—
1136C4⋊C4—44no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—44no—
1140C4⋊C4—44no—
1141C4⋊C4—44no—
1142C4⋊C4H(5,𝔽2)18yes—
1143C22⋊C4—28no—
1144C22⋊C4—24no—
1145C22⋊C4—28no—
1146C22⋊C4—28no—
1147C22⋊C4—28no—
1148C22⋊C4—28no—
1149C22⋊C4—28no—
1150C22⋊C4—28no—
1151C22⋊C4—28no—
1152C22⋊C4—28no—
1153C22⋊C4—28no—
1154C22⋊C4—28no—
1155C22⋊C4—28no—
1156C22⋊C4—28no—
1157C22⋊C4—28no—
1158C22⋊C4—28no—
1159C22⋊C4—28no—
1160C22⋊C4—28no—
1161C22⋊C4—28no—
1162C22⋊C4—28no—
1163C22⋊C4—28no—
1164C22⋊C4—28no—
1165C22⋊C4—28no—
1166C22⋊C4—28no—
1167C22⋊C4—28no—
1168C22⋊C4—28no—
1169C22⋊C4—28no—
1170C22⋊C4—44no—
1171C22⋊C4—44no—
1172C22⋊C4—44no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—42no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C42—24no—
1208C42—24no—
1209C42—22no—
1210C42—24no—
1211C42—24no—
1212C42—24no—
1213C42—24no—
1214C42—24no—
1215C42—22no—
1216C42—41no—
1217C42—44no—
1218C42—44no—
1219C42—44no—
1220C42—44no—
1221C42—42no—
1222C23—24no—
1223C23—24no—
1224C23—24no—
1225C23—24no—
1226C23—24no—
1227C23—24no—
1228C23—22no—
1229C23—24no—
1230C23—22no—
1231C23—24no—
1232C23—24no—
1233C23—24no—
1234C23—24no—
1235C23—24no—
1236C23—24no—
1237C23—24no—
1238C23—24no—
1239C23—24no—
1240C23—24no—
1241C23—24no—
1242C23—24no—
1243C23—22no—
1244C23—24no—
1245C23—24no—
1246C23—22no—
1247C23—24no—
1248C23—24no—
1249C23—24no—
1250C23—22no—
1251C23—416no—
1252C23—48no—
1253C23—48no—
1254C23—88no—
1255C23—88no—
1256C23—88no—
1257C23—88no—
1258C23—88no—
1259C23—88no—
1260C23—88no—
1261C23—88no—
1262C23—84no—
1263C23—162no—
1264C23—162no—
1265C23—164no—
1266C23—162no—
1267C23—164no—
1268C23—164no—
1269C23—162no—
1270C23—162no—
1271C23—164no—
1272C23—162no—
1273C23C2×H(5,𝔽2)14yes—
1274C23C2×H(5,𝔽2)18yes—
1275C23C2611yescharacteristic
1276Q8—44no—
1277Q8—84no—
1278Q8—88no—
1279D4—48no—
1280D4—44no—
1281D4—416no—
1282D4—416no—
1283D4—416no—
1284D4—416no—
1285D4—48no—
1286D4—416no—
1287D4—88no—
1288D4—84no—
1289D4—84no—
1290D4—82no—
1291D4—88no—
1292D4—88no—
1293D4—88no—
1294D4—88no—
1295D4—88no—
1296D4—88no—
1297D4—88no—
1298D4—88no—
1299D4—88no—
1300D4—88no—
1301D4—84no—
1302D4—162no—
1303D4—164no—
1304D4—164no—
1305D4—164no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—21no—
1314C2×C4—22no—
1315C2×C4—21no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—24no—
1324C2×C4—24no—
1325C2×C4—24no—
1326C2×C4—24no—
1327C2×C4—24no—
1328C2×C4—24no—
1329C2×C4—24no—
1330C2×C4—24no—
1331C2×C4—24no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—24no—
1335C2×C4—24no—
1336C2×C4—24no—
1337C2×C4—24no—
1338C2×C4—24no—
1339C2×C4—24no—
1340C2×C4—24no—
1341C2×C4—24no—
1342C2×C4—24no—
1343C2×C4—21no—
1344C2×C4—22no—
1345C2×C4—24no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—416no—
1351C2×C4—88no—
1352C2×C4—88no—
1353C2×C4—88no—
1354C2×C4—84no—
1355C2×C4—84no—
1356C2×C4—88no—
1357C2×C4—88no—
1358C2×C4—164no—
1359C2×C4—164no—
1360C2×C4—162no—
1361C2×C4—164no—
1362C2×C4C2×H(5,𝔽2)12yes—
1363C2×C4C2×H(5,𝔽2)14yes—
1364C2×C4C2×H(5,𝔽2)14yes—
1365C2×C4C2×H(5,𝔽2)14yes—
1366C2×C4C2×H(5,𝔽2)14yes—
1367C2×C4#58512yes—
1368C22—28no—
1369C22—28no—
1370C22—28no—
1371C22—28no—
1372C22—24no—
1373C22—44no—
1374C22—42no—
1375C22—44no—
1376C22—42no—
1377C22—44no—
1378C22—44no—
1379C22—44no—
1380C22—44no—
1381C22—44no—
1382C22—44no—
1383C22—44no—
1384C22—44no—
1385C22—42no—
1386C22—44no—
1387C22—44no—
1388C22—44no—
1389C22—44no—
1390C22—42no—
1391C22—44no—
1392C22—44no—
1393C22—44no—
1394C22—44no—
1395C22—44no—
1396C22—42no—
1397C22—44no—
1398C22—44no—
1399C22—168no—
1400C22—1616no—
1401C22—168no—
1402C22—168no—
1403C22C22×H(5,𝔽2)11yescharacteristic
1404C22C22×H(5,𝔽2)12yes—
1405C22C22×H(5,𝔽2)12yes—
1406C22C2×#58511yescharacteristic
1407C222−1+611yescharacteristic
1408C4—24no—
1409C4—24no—
1410C4—22no—
1411C4—24no—
1412C4—24no—
1413C4—22no—
1414C4—44no—
1415C4—44no—
1416C4—44no—
1417C4—44no—
1418C4—42no—
1419C4—42no—
1420C4—42no—
1421C4—42no—
1422C4—44no—
1423C4—41no—
1424C4—44no—
1425C4—44no—
1426C2—48no—
1427C2—44no—
1428C2—84no—
1429C2—84no—
1430C2—82no—
1431C2#6283411yescharacteristic
1432C2#6289512yes—
1433C2#6290111yescharacteristic
1434C2#6301112yes—
1435C2#6301211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59816C2semidirect
2. #57151C2semidirect
3. #56302C2semidirect
4. #53375C2semidirect
5. #50674C2semidirect
6. #50635C2semidirect
7. #48754C2semidirect
8. #48414C2semidirect
9. #48091C2semidirect
10. #46807C2semidirect
11. #46367C2semidirect
12. #43886C2semidirect
13. #43103C2semidirect
14. #43079C2semidirect
15. #43023C2semidirect
16. #42998C2semidirect
17. #39444C2semidirect
18. #39355C2semidirect
19. #38768C2semidirect
20. #37250C2semidirect
21. #37249C2semidirect
22. #36496C2semidirect
23. #36370C2semidirect
24. C2×#559C22semidirect
25. C2×#554C22semidirect
26. C2×#546C22semidirect
27. C2×#546C22semidirect
29. C2×D42C22semidirect
30. C2×#538C22semidirect
31. C2×#535C22semidirect
32. C2×#534C22semidirect
33. #2864C22semidirect
34. #2861C22semidirect
35. #2861C22semidirect
36. #2860C22semidirect
37. #2858C22semidirect
38. #2842C22semidirect
39. #2826C22semidirect
40. #2813C22semidirect
41. #2808C22semidirect
42. #2804C22semidirect
43. #2803C22semidirect
44. #2795C22semidirect
45. #2790C22semidirect
46. #2788C22semidirect
47. #2781C22semidirect
48. #2780C22semidirect
49. #2780C22semidirect
50. #2779C22semidirect
51. #2753C22semidirect
52. #2733C22semidirect
53. #2732C22semidirect
54. #2731C22semidirect
55. #2730C22semidirect
56. #2718C22semidirect
57. #2715C22semidirect
58. #2714C22semidirect
59. #2712C22semidirect
60. #2711C22semidirect
61. #2711C22semidirect
62. #2710C22semidirect
63. #2708C22semidirect
64. #2707C22semidirect
65. #2706C22semidirect
66. #2701C22semidirect
67. #2697C22semidirect
68. #2691C22semidirect
69. #2688C22semidirect
70. #2685C22semidirect
71. #2685C22semidirect
72. #2684C22semidirect
73. #2682C22semidirect
74. #2682C22semidirect
75. #2682C22semidirect
76. #2682C22semidirect
77. #2682C22semidirect
78. #2682C22semidirect
79. #2681C22semidirect
81. #2679C22semidirect
82. #2679C22semidirect
83. #2679C22semidirect
84. #2679C22semidirect
85. #2678C22semidirect
86. #2676C22semidirect
87. #2676C22semidirect
88. #2676C22semidirect
89. #2675C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2672C22semidirect
94. #2671C22semidirect
95. #2671C22semidirect
96. #2670C22semidirect
97. #2670C22semidirect
98. #2670C22semidirect
99. #2670C22semidirect
100. #2670C22semidirect
101. #2670C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2668C22semidirect
106. #2668C22semidirect
107. #2665C22semidirect
108. #2649C22semidirect
109. #2636C22semidirect
110. #2635C22semidirect
111. #2630C22semidirect
112. #2630C22semidirect
113. #2620C22semidirect
114. #2595C22semidirect
115. #2580C22semidirect
116. #2580C22semidirect
117. #2579C22semidirect
118. #2567C22semidirect
119. #2566C22semidirect
120. #2566C22semidirect
121. #2559C22semidirect
122. #2559C22semidirect
123. #2555C22semidirect
124. #2549C22semidirect
125. #2544C22semidirect
126. #2544C22semidirect
127. #2544C22semidirect
128. #2543C22semidirect
130. #2539C22semidirect
131. #2537C22semidirect
132. #2537C22semidirect
133. #2507C22semidirect
134. #2479C22semidirect
135. #2477C22semidirect
136. #2472C22semidirect
137. #2472C22semidirect
138. #2472C22semidirect
139. #2468C22semidirect
140. #2464C22semidirect
141. #2464C22semidirect
142. #2463C22semidirect
143. #2461C22semidirect
144. #2461C22semidirect
145. #2461C22semidirect
146. #2461C22semidirect
147. #2460C22semidirect
148. #2459C22semidirect
149. #2458C22semidirect
150. #2458C22semidirect
151. #2456C22semidirect
152. #2455C22semidirect
153. #2455C22semidirect
154. #2450C22semidirect
156. #2443C22semidirect
157. #2437C22semidirect
158. #2437C22semidirect
159. #2433C22semidirect
160. #2433C22semidirect
161. #2432C22semidirect
162. #2430C22semidirect
163. #2430C22semidirect
164. #2428C22semidirect
165. #2426C22semidirect
166. #2426C22semidirect
167. #2426C22semidirect
168. #2425C22semidirect
169. #2424C22semidirect
170. #2424C22semidirect
171. #2424C22semidirect
172. #2424C22semidirect
173. #2424C22semidirect
174. #2424C22semidirect
175. #2424C22semidirect
176. #2424C22semidirect
177. #2424C22semidirect
178. #2424C22semidirect
179. #2418C22semidirect
180. #2416C22semidirect
181. #2411C22semidirect
182. #2410C22semidirect
183. #2410C22semidirect
184. #2410C22semidirect
185. #2410C22semidirect
187. #2408C22semidirect
188. #2408C22semidirect
189. #2408C22semidirect
190. #2408C22semidirect
191. #2407C22semidirect
192. #2405C22semidirect
193. #2405C22semidirect
194. #2403C22semidirect
195. C2×#394C22semidirect
196. C2×#392C22semidirect
197. #2377C22semidirect
198. #2376C22semidirect
199. #2361C22semidirect
200. #2361C22semidirect
201. #2359C22semidirect
202. #2358C22semidirect
203. #2358C22semidirect
204. #2357C22semidirect
205. #2349C22semidirect
206. D4×C22⋊C4C22semidirect
207. #2329C22semidirect
208. #2325C22semidirect
209. #2321C22semidirect
210. #2321C22semidirect
211. #2315C22semidirect
212. #2308C22semidirect
214. C4×#127C22semidirect
215. C4×#127C22semidirect
216. C4×#124C22semidirect
217. #2293C22semidirect
218. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598162
#571512
#563022
#533752
#506742
#506352
#487542
#484142
#480912
#468072
#463672
#438862
#431032
#430792
#430232
#429982
#394442
#393552
#387682
#372502
#372492
#364962
#363702