Finite Group Databasebeta

← #8957644

Subgroups — #8957644

Order 512.

5898 conjugacy classes of subgroups.

The subgroup lattice has 1447 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57977C214yesmaximal, complemented
2#57179C214yesmaximal, complemented
3#56377C214yesmaximal, complemented
4#52012C212yesmaximal, complemented
5#51945C212yesmaximal, complemented
6#50878C212yesmaximal, complemented
7#49594C212yesmaximal, complemented
8#48933C214yesmaximal, complemented
9#47861C214yesmaximal, complemented
10#47833C212yesmaximal, complemented
11#46362C214yesmaximal, complemented
12#43188C214yesmaximal, complemented
13#43015C214yesmaximal, complemented
14#41053C214yesmaximal, complemented
15#40651C212yesmaximal, complemented
16#40493C214yesmaximal, complemented
17#37957C212yesmaximal, complemented
18#37761C212yesmaximal, complemented
19#36718C211yesmaximal, characteristic, complemented
20#36082C212yesmaximal, complemented
21#35740C212yesmaximal, complemented
22#35563C211yesmaximal, characteristic, complemented
23#35347C211yesmaximal, characteristic, complemented
24C22×H(5,𝔽2)C2211yescharacteristic
25C2×#560C2212yescomplemented
26C2×#548C2212yes—
27C2×#548C2214yescomplemented
28C2×#543C2211yescharacteristic, complemented
29C2×#539C2214yescomplemented
30C2×#538C2212yescomplemented
31C2×#535C2211yescharacteristic, complemented
32C2×#534C2212yes—
33C2×#525C2211yescharacteristic, complemented
34C22×#121C2211yescharacteristic
35C2×#520C2211yescharacteristic, complemented
36#2848C2212yescomplemented
37#2842C2214yescomplemented
38#2830C2214yescomplemented
39#2829C2214yescomplemented
40#2820C2214yescomplemented
41#2814C2214yescomplemented
42#2803C2214yescomplemented
43#2800C2214yescomplemented
44#2800C2214yescomplemented
45#2786C2214yescomplemented
46#2786C2214yescomplemented
47#2757C2214yescomplemented
48#2740C2214yescomplemented
49#2735C2214yescomplemented
50#2735C2214yescomplemented
51#2730C2214yescomplemented
52#2730C2214yescomplemented
53#2730C2214yescomplemented
54#2727C2214yescomplemented
55#2723C2214yescomplemented
56#2722C2214yescomplemented
57#2717C2212yescomplemented
58#2715C2214yescomplemented
59#2715C2214yescomplemented
60#2711C2214yescomplemented
61#2711C2214yescomplemented
62#2710C2214yescomplemented
63#2707C2214yescomplemented
64#2706C2214yescomplemented
65#2704C2214yescomplemented
66#2704C2214yescomplemented
67#2700C2214yescomplemented
68#2697C2214yescomplemented
69#2697C2214yescomplemented
70#2697C2214yescomplemented
71#2697C2212yescomplemented
72#2694C2214yescomplemented
73#2692C2214yescomplemented
74#2691C2214yescomplemented
75#2691C2214yescomplemented
76#2685C2214yescomplemented
77#2685C2214yescomplemented
78#2685C2214yescomplemented
79#2684C2212yescomplemented
80#2684C2214yescomplemented
81#2683C2212yescomplemented
82#2683C2214yescomplemented
83#2682C2214yescomplemented
84#2681C2214yescomplemented
85#2681C2214yescomplemented
86#2678C2214yescomplemented
87#2678C2214yescomplemented
88#2678C2214yescomplemented
89#2676C2214yescomplemented
90#2676C2214yescomplemented
91#2673C2214yescomplemented
92#2672C2214yescomplemented
93#2672C2214yescomplemented
94#2672C2214yescomplemented
95#2672C2214yescomplemented
96#2671C2214yescomplemented
97#2668C2214yescomplemented
98#2667C2212yescomplemented
99#2662C2214yescomplemented
100#2662C2214yescomplemented
101#2661C2214yescomplemented
102#2659C2212yescomplemented
103#2659C2212yescomplemented
104#2651C2214yescomplemented
105#2638C2212yescomplemented
106#2637C2214yescomplemented
107#2632C2212yescomplemented
108#2626C2212yescomplemented
109#2626C2212yescomplemented
110#2626C2212yescomplemented
111#2618C2214yescomplemented
112#2618C2212yescomplemented
113#2616C2212yes—
114#2616C2214yescomplemented
115#2610C2212yescomplemented
116#2602C2214yescomplemented
117#2602C2214yescomplemented
118#2601C2214yescomplemented
119#2599C2212yescomplemented
120#2584C2214yescomplemented
121#2583C2212yescomplemented
122#2574C2214yescomplemented
123#2560C2214yescomplemented
124#2560C2214yescomplemented
125#2557C2214yescomplemented
126#2556C2214yescomplemented
127#2554C2214yescomplemented
128#2543C2214yescomplemented
129#2543C2212yescomplemented
130#2534C2212yescomplemented
131#2534C2212yescomplemented
132#2531C2214yescomplemented
133#2531C2214yescomplemented
134#2522C2214yescomplemented
135#2521C2214yescomplemented
136#2518C2214yescomplemented
137#2490C2214yescomplemented
138#2480C2214yescomplemented
139#2480C2214yescomplemented
140#2479C2214yescomplemented
141#2474C2214yescomplemented
142#2472C2214yescomplemented
143#2467C2214yescomplemented
144#2465C2214yescomplemented
145#2465C2214yescomplemented
146#2464C2214yescomplemented
147#2464C2214yescomplemented
148#2463C2214yescomplemented
149#2462C2214yescomplemented
150#2461C2214yescomplemented
151#2461C2214yescomplemented
152#2460C2214yescomplemented
153#2458C2214yescomplemented
154#2449C2214yescomplemented
155#2449C2214yescomplemented
156#2443C2214yescomplemented
157#2435C2214yes—
158#2435C2212yes—
159#2435C2214yes—
160#2435C2214yescomplemented
161#2435C2214yescomplemented
162#2430C2214yes—
163#2430C2214yes—
164#2430C2214yescomplemented
165#2428C2214yescomplemented
166#2427C2214yescomplemented
167#2426C2214yescomplemented
168#2425C2214yescomplemented
169#2425C2214yescomplemented
170#2425C2214yescomplemented
171#2425C2214yescomplemented
172#2424C2214yescomplemented
173#2418C2214yescomplemented
174#2418C2214yescomplemented
175#2416C2214yescomplemented
176#2416C2214yescomplemented
177#2414C2214yescomplemented
178#2410C2214yes—
179#2410C2214yes—
180#2409C2212yescomplemented
181#2409C2214yescomplemented
182#2408C2214yes—
183#2408C2214yes—
184#2408C2212yes—
185#2408C2212yescomplemented
186#2408C2214yescomplemented
187#2408C2214yescomplemented
188#2406C2212yes—
189#2405C2212yes—
190#2405C2212yescomplemented
191#2405C2212yescomplemented
192#2404C2212yes—
193#2403C2212yes—
194#2399C2212yescomplemented
195#2388C2212yes—
196#2388C2214yescomplemented
197C2×#395C2212yescomplemented
198#2378C2212yescomplemented
199#2375C2212yescomplemented
200#2374C2212yescomplemented
201#2368C2214yescomplemented
202#2366C2212yescomplemented
203#2361C2214yescomplemented
204#2359C2214yescomplemented
205#2353C2212yescomplemented
206#2349C2214yescomplemented
207#2341C2212yes—
208#2341C2214yescomplemented
209#2335C2214yescomplemented
210#2329C2212yescomplemented
211#2325C2212yescomplemented
212#2316C2211yescharacteristic, complemented
213#2312C2212yescomplemented
214#2312C2211yescharacteristic, complemented
215#2309C2211yescharacteristic, complemented
216#2308C2211yescharacteristic
217C2×#386C2212yes—
218#2280C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—44no—
220C2×H(5,𝔽2)—48no—
221C22×#41C2312yes—
222C22×#41C2314yes—
223C22×#41C2311yescharacteristic
224C23×Q8C2312yes—
225C23×D4C2311yescharacteristic
226C23×D4C2312yes—
227C23×D4C2311yescharacteristic
228C23×D4C2312yes—
229C23×D4C2314yes—
230C23×D4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232#560—48no—
233#548—48no—
234#548—416no—
235#543—44no—
236#539—416no—
237#538—48no—
238#535—44no—
239#534—48no—
240C2×#127C2312yes—
241C2×#126C2314yes—
242C2×#126C2314yes—
243C2×#126C2314yes—
244C2×#126C2314yes—
245C2×#125C2314yes—
246C2×#125C2314yes—
247C2×#124C2314yes—
248C2×#124C2312yes—
249C2×#124C2312yes—
250C2×#124C2314yes—
251C2×#124C2314yes—
252C2×#124C2314yes—
253C2×#124C2314yes—
254#525—44no—
255C2×#123C2314yes—
256C2×#123C2314yes—
257C2×#123C2314yes—
258C2×#123C2314yes—
259C2×#123C2312yes—
260C2×#123C2314yes—
261C2×#123C2314yes—
262C2×#123C2312yes—
263C2×#123C2312yes—
264C2×#123C2314yes—
265C2×#123C2314yes—
266C2×C22⋊Q8C2312yes—
267C2×C22⋊Q8C2314yes—
268C2×C22⋊Q8C2312yes—
269C2×C22⋊Q8C2314yes—
270C2×C22⋊Q8C2312yes—
271C2×C22⋊Q8C2312yes—
272C2×C22⋊Q8C2314yes—
273C2×C22⋊Q8C2314yes—
274C2×C22⋊Q8C2312yes—
275C2×C22⋊Q8C2314yes—
276C2×C22⋊Q8C2314yes—
277C2×C22⋊Q8C2314yes—
278C2×C22⋊Q8C2314yes—
279C2×#121—44no—
280C2×#121C2312yes—
281C2×#121C2314yes—
282C2×#121C2314yes—
283C2×#121C2312yes—
284C2×#121C2314yes—
285C2×#121C2314yes—
286C2×#121C2314yes—
287C2×#121C2314yes—
288C2×#121C2314yes—
289C2×#121C2314yes—
290C2×#121C2314yes—
291C2×#121C2314yes—
292C2×#121C2314yes—
293C2×#121C2314yes—
294C2×#121C2314yes—
295C2×#120C2312yes—
296C2×#120C2314yes—
297C2×#120C2312yes—
298C2×#120C2312yes—
299C2×#120C2312yes—
300C2×#120C2314yes—
301C2×#120C2314yes—
302C2×#120C2312yes—
303C2×#120C2314yes—
304#520—44no—
305C2×C4×Q8C2314yes—
306C2×C4×Q8C2312yes—
307C2×C4×Q8C2312yes—
308C2×C4×D4C2314yes—
309C2×C4×D4C2312yes—
310C2×C4×D4C2314yes—
311C2×C4×D4C2314yes—
312C2×C4×D4C2314yes—
313C2×C4×D4C2312yes—
314C2×C4×D4C2314yes—
315C2×C4×D4C2314yes—
316C2×C4×D4C2314yes—
317C2×C4×D4C2312yes—
318C2×#117C2311yescharacteristic
319C2×#117C2311yescharacteristic
320C2×#117C2311yescharacteristic
321C2×#117C2312yes—
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2314yes—
324C22×C4⋊C4C2312yes—
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2312yes—
327C22×C22⋊C4C2312yes—
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2312yes—
330C22×C22⋊C4C2312yes—
331#399C2314yes—
332#399C2314yes—
333#399C2314yes—
334#399C2314yes—
335#399C2314yes—
336#399C2314yes—
337#399C2314yes—
338#398C2314yes—
339#398C2314yes—
340#398C2314yes—
341#398C2314yes—
342#398C2314yes—
343#398C2312yes—
344#398C2312yes—
345#398C2314yes—
346#398C2312yes—
347#398C2314yes—
348#398C2314yes—
349#398C2314yes—
350#397C2314yes—
351#397C2314yes—
352#397C2314yes—
353#397C2314yes—
354#397C2314yes—
355#397C2314yes—
356#397C2314yes—
357#397C2312yes—
358#397C2314yes—
359#397C2314yes—
360#397C2314yes—
361#397C2314yes—
362#397C2314yes—
363#397C2314yes—
364#397C2314yes—
365#397C2314yes—
366#396C2314yes—
367#396C2314yes—
368#396C2314yes—
369#396C2314yes—
370#396C2314yes—
371#396C2314yes—
372#396C2314yes—
373#396C2314yes—
374#396C2314yes—
375#396C2314yes—
376#396C2314yes—
377#396C2314yes—
378#396C2314yes—
379#396C2314yes—
380#396C2314yes—
381#396C2314yes—
382#396C2314yes—
383#396C2314yes—
384#396C2314yes—
385#395C2314yes—
386#395C2314yes—
387#395C2314yes—
388#395C2312yes—
389#395C2312yes—
390#395C2312yes—
391#395C2314yes—
392#395C2312yes—
393#395C2312yes—
394#395C2314yes—
395#395C2314yes—
396#395C2312yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2312yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2312yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2312yes—
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#394C2314yes—
432#394C2314yes—
433#393C2314yes—
434#393C2314yes—
435#393C2314yes—
436#393C2312yes—
437#393C2312yes—
438#393C2314yes—
439#393C2314yes—
440#392C2314yes—
441#392C2314yes—
442#392C2314yes—
443#392C2312yes—
444#392C2314yes—
445#392C2314yes—
446#392C2314yes—
447#392C2314yes—
448#392C2314yes—
449#392C2314yes—
450#392C2314yes—
451#391C2314yes—
452#391C2314yes—
453#391C2314yes—
454#391C2314yes—
455#390C2314yes—
456#390C2314yes—
457#390C2312yes—
458#390C2312yes—
459#390C2314yes—
460#390C2314yes—
461#390C2314yes—
462#390C2314yes—
463#390C2314yes—
464#390C2314yes—
465#390C2314yes—
466#390C2314yes—
467#390C2314yes—
468#390C2314yes—
469#390C2314yes—
470#390C2314yes—
471#390C2314yes—
472#390C2314yes—
473#390C2314yes—
474#389C2314yes—
475#389C2314yes—
476#389C2314yes—
477#389C2314yes—
478#389C2314yes—
479#389C2314yes—
480#389C2314yes—
481#389C2314yes—
482#389C2314yes—
483#389C2314yes—
484#389C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
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#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#387C2314yes—
532#387C2314yes—
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#386C2312yes—
549#386C2312yes—
550#386C2312yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#386C2314yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
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#383C2312yes—
577#382C2314yes—
578#381C2312yes—
579#381C2312yes—
580#380C2312yes—
581#380C2312yes—
582#380C2312yes—
583#380C2312yes—
584#380C2312yes—
585#380C2314yes—
586#380C2312yes—
587#380C2314yes—
588#380C2314yes—
589#380C2314yes—
590#380C2314yes—
591#380C2312yes—
592#380C2312yes—
593#380C2314yes—
594#380C2314yes—
595#379C2312yes—
596#379C2312yes—
597#379C2312yes—
598#379C2312yes—
599#379C2314yes—
600#379C2314yes—
601#379C2314yes—
602#379C2314yes—
603#379C2314yes—
604#379C2314yes—
605#379C2314yes—
606#379C2314yes—
607#379C2314yes—
608#379C2312yes—
609C4×C4⋊C4C2314yes—
610C4×C4⋊C4C2314yes—
611C4×C4⋊C4C2314yes—
612C4×C4⋊C4C2314yes—
613C4×C22⋊C4C2314yes—
614C4×C22⋊C4C2314yes—
615C4×C22⋊C4C2312yes—
616C4×C22⋊C4C2314yes—
617C4×C22⋊C4C2314yes—
618C4×C22⋊C4C2314yes—
619C4×C22⋊C4C2314yes—
620C4×C22⋊C4C2314yes—
621C4×C22⋊C4C2314yes—
622#376C2312yes—
623C2×#95C2312yes—
624C2×#95C2312yes—
625C2×#95C2314yes—
626C2×#95C2312yes—
627C25C2411yescharacteristic
628C25C2411yescharacteristic
629C25C2412yes—
630C25C2411yescharacteristic
631C25C2412yes—
632H(5,𝔽2)—464no—
633C2×#41—24no—
634C2×#41—28no—
635C2×#41—216no—
636C2×#41—42no—
637C2×#41—42no—
638C2×#41—48no—
639C2×#41—48no—
640C2×#41—48no—
641C22×Q8—44no—
642C22×Q8—48no—
643C22×Q8C2412yes—
644C22×Q8C2411yescharacteristic
645C22×Q8C2412yes—
646C22×Q8C2414yes—
647C22×Q8C2412yes—
648C22×D4—24no—
649C22×D4—28no—
650C22×D4—48no—
651C22×D4—48no—
652C22×D4—48no—
653C22×D4—42no—
654C22×D4—42no—
655C22×D4—42no—
656C22×D4—42no—
657C22×D4—44no—
658C22×D4—44no—
659C22×D4—44no—
660C22×D4—44no—
661C22×D4—48no—
662C22×D4—44no—
663C22×D4C2414yes—
664C22×D4C2412yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C22×D4C2414yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2412yes—
674C22×D4C2412yes—
675C22×D4C2414yes—
676C22×D4C2412yes—
677C22×D4C2414yes—
678C22×D4C2414yes—
679C22×D4C2411yescharacteristic
680C23×C4—42no—
681C23×C4—42no—
682C23×C4—42no—
683C23×C4C2411yescharacteristic
684C23×C4C2412yes—
685C23×C4C2414yes—
686C23×C4C2412yes—
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2412yes—
690C23×C4C2412yes—
691C23×C4C2414yes—
692C23×C4C2412yes—
693C23×C4C2414yes—
694C23×C4C2412yes—
695C23×C4C2412yes—
696C23×C4C2412yes—
697C23×C4C2412yes—
698C23×C4C2412yes—
699C23×C4C2411yescharacteristic
700C23×C4C2412yes—
701#127—28no—
702#126—48no—
703#126—48no—
704#126—48no—
705#126—48no—
706#125—48no—
707#125—48no—
708#124—44no—
709#124—44no—
710#124—48no—
711#124—48no—
712#124—48no—
713#124—48no—
714#124—48no—
715#123—216no—
716#123—48no—
717#123—44no—
718#123—48no—
719#123—48no—
720#123—48no—
721#123—48no—
722#123—48no—
723#123—44no—
724#123—48no—
725#123—44no—
726C22⋊Q8—216no—
727C22⋊Q8—28no—
728C22⋊Q8—44no—
729C22⋊Q8—48no—
730C22⋊Q8—48no—
731C22⋊Q8—48no—
732C22⋊Q8—48no—
733C22⋊Q8—44no—
734C22⋊Q8—44no—
735C22⋊Q8—48no—
736C22⋊Q8—48no—
737C22⋊Q8—48no—
738C22⋊Q8—44no—
739#121—28no—
740#121—216no—
741#121—48no—
742#121—48no—
743#121—48no—
744#121—48no—
745#121—48no—
746#121—48no—
747#121—48no—
748#121—48no—
749#121—48no—
750#121—44no—
751#121—48no—
752#121—48no—
753#121—48no—
754#120—44no—
755#120—48no—
756#120—44no—
757#120—48no—
758#120—44no—
759#120—44no—
760#120—44no—
761#120—48no—
762#120—48no—
763C4×Q8—44no—
764C4×Q8—44no—
765C4×Q8—48no—
766C4×D4—28no—
767C4×D4—216no—
768C4×D4—44no—
769C4×D4—48no—
770C4×D4—48no—
771C4×D4—48no—
772C4×D4—48no—
773C4×D4—44no—
774C4×D4—48no—
775C4×D4—48no—
776#117—42no—
777#117—44no—
778#117—42no—
779#117—42no—
780C2×C4⋊C4—24no—
781C2×C4⋊C4—44no—
782C2×C4⋊C4—48no—
783C2×C4⋊C4C2412yes—
784C2×C4⋊C4C2412yes—
785C2×C4⋊C4C2412yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2412yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2412yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2412yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2412yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2412yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2412yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2412yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C22⋊C4—24no—
824C2×C22⋊C4—44no—
825C2×C22⋊C4—44no—
826C2×C22⋊C4—44no—
827C2×C22⋊C4—44no—
828C2×C22⋊C4—42no—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2412yes—
835C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
850C2×C22⋊C4C2412yes—
851C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2412yes—
869C2×C22⋊C4C2412yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C42C2412yes—
892C2×C42C2412yes—
893C2×C42C2414yes—
894C2×C42C2412yes—
895C2×C42C2412yes—
896C2×C42C2412yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899C2×C42C2414yes—
900C2×C42C2414yes—
901C2×C42C2414yes—
902C2×C42C2414yes—
903#95C2414yes—
904#95C2412yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2412yes—
911#95C2414yes—
912#95C2414yes—
913#95C2412yes—
914#95C2414yes—
915#95C2412yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939C24—24no—
940C24—22no—
941C24—22no—
942C24—22no—
943C24—24no—
944C24—42no—
945C24—42no—
946C24—42no—
947C24—42no—
948C24—44no—
949C24—42no—
950C24—41no—
951C24—41no—
952C24—42no—
953C24—42no—
954C24—42no—
955C24—41no—
956C24—41no—
957C24—42no—
958C24—41no—
959C24—41no—
960C24—42no—
961C24—42no—
962C24—42no—
963C24—42no—
964C24—42no—
965C24—44no—
966C24C2514yes—
967C24C2512yes—
968C24C2512yes—
969C24C2511yescharacteristic
970C24C2512yes—
971C24C2512yes—
972#41—416no—
973#41—432no—
974#41—464no—
975C2×Q8—24no—
976C2×Q8—28no—
977C2×Q8—22no—
978C2×Q8—28no—
979C2×Q8—24no—
980C2×Q8—41no—
981C2×Q8—41no—
982C2×Q8—44no—
983C2×Q8—44no—
984C2×Q8—44no—
985C2×Q8—42no—
986C2×Q8—42no—
987C2×Q8—42no—
988C2×Q8—816no—
989C2×D4—24no—
990C2×D4—28no—
991C2×D4—28no—
992C2×D4—24no—
993C2×D4—28no—
994C2×D4—28no—
995C2×D4—28no—
996C2×D4—28no—
997C2×D4—28no—
998C2×D4—28no—
999C2×D4—28no—
1000C2×D4—28no—
1001C2×D4—28no—
1002C2×D4—28no—
1003C2×D4—28no—
1004C2×D4—24no—
1005C2×D4—28no—
1006C2×D4—24no—
1007C2×D4—24no—
1008C2×D4—41no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—41no—
1017C2×D4—42no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—42no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—416no—
1039C2×D4—432no—
1040C2×D4—432no—
1041C2×D4—464no—
1042C2×D4—88no—
1043C2×D4—88no—
1044C2×D4H(5,𝔽2)14yescomplemented
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—24no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—28no—
1052C22×C4—28no—
1053C22×C4—28no—
1054C22×C4—28no—
1055C22×C4—24no—
1056C22×C4—24no—
1057C22×C4—24no—
1058C22×C4—28no—
1059C22×C4—24no—
1060C22×C4—42no—
1061C22×C4—42no—
1062C22×C4—42no—
1063C22×C4—42no—
1064C22×C4—42no—
1065C22×C4—44no—
1066C22×C4—44no—
1067C22×C4—42no—
1068C22×C4—44no—
1069C22×C4—44no—
1070C22×C4—44no—
1071C22×C4—42no—
1072C22×C4—42no—
1073C22×C4—41no—
1074C22×C4—42no—
1075C22×C4—42no—
1076C22×C4—41no—
1077C22×C4—44no—
1078C22×C4—42no—
1079C22×C4—42no—
1080C22×C4—42no—
1081C22×C4—42no—
1082C22×C4—42no—
1083C22×C4—42no—
1084C22×C4—42no—
1085C22×C4—44no—
1086C22×C4—44no—
1087C22×C4—42no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—88no—
1092C22×C4H(5,𝔽2)14yes—
1093C22×C4H(5,𝔽2)18yes—
1094C22×C4C2514yes—
1095C22×C4C2512yes—
1096C22×C4C2514yes—
1097C22×C4C2512yes—
1098C22×C4C2514yes—
1099C22×C4C2514yes—
1100C22×C4C2514yes—
1101C22×C4C2512yes—
1102C22×C4C2514yes—
1103C22×C4C2514yes—
1104C22×C4C2514yes—
1105C22×C4C2512yes—
1106C22×C4C2512yes—
1107C22×C4C2511yescharacteristic
1108C22×C4C2514yes—
1109C22×C4C2512yes—
1110C22×C4C2511yescharacteristic
1111C4⋊C4—24no—
1112C4⋊C4—24no—
1113C4⋊C4—24no—
1114C4⋊C4—28no—
1115C4⋊C4—28no—
1116C4⋊C4—24no—
1117C4⋊C4—28no—
1118C4⋊C4—28no—
1119C4⋊C4—28no—
1120C4⋊C4—24no—
1121C4⋊C4—28no—
1122C4⋊C4—28no—
1123C4⋊C4—28no—
1124C4⋊C4—28no—
1125C4⋊C4—41no—
1126C4⋊C4—42no—
1127C4⋊C4—44no—
1128C4⋊C4—44no—
1129C4⋊C4—44no—
1130C4⋊C4—44no—
1131C4⋊C4—41no—
1132C4⋊C4—42no—
1133C4⋊C4—44no—
1134C4⋊C4—44no—
1135C4⋊C4—44no—
1136C4⋊C4—44no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—44no—
1140C4⋊C4—44no—
1141C4⋊C4—42no—
1142C4⋊C4—44no—
1143C4⋊C4—42no—
1144C4⋊C4—42no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C4⋊C4—44no—
1151C22⋊C4—28no—
1152C22⋊C4—28no—
1153C22⋊C4—24no—
1154C22⋊C4—28no—
1155C22⋊C4—28no—
1156C22⋊C4—28no—
1157C22⋊C4—28no—
1158C22⋊C4—28no—
1159C22⋊C4—28no—
1160C22⋊C4—28no—
1161C22⋊C4—24no—
1162C22⋊C4—28no—
1163C22⋊C4—28no—
1164C22⋊C4—28no—
1165C22⋊C4—28no—
1166C22⋊C4—44no—
1167C22⋊C4—44no—
1168C22⋊C4—44no—
1169C22⋊C4—44no—
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—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—42no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—42no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—42no—
1200C22⋊C4—44no—
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—42no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C42—24no—
1214C42—24no—
1215C42—28no—
1216C42—44no—
1217C42—42no—
1218C42—42no—
1219C42—42no—
1220C42—44no—
1221C42—44no—
1222C42—44no—
1223C42—44no—
1224C42—44no—
1225C23—28no—
1226C23—22no—
1227C23—24no—
1228C23—22no—
1229C23—21no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—21no—
1236C23—22no—
1237C23—22no—
1238C23—24no—
1239C23—22no—
1240C23—22no—
1241C23—24no—
1242C23—24no—
1243C23—22no—
1244C23—24no—
1245C23—24no—
1246C23—24no—
1247C23—22no—
1248C23—22no—
1249C23—24no—
1250C23—24no—
1251C23—22no—
1252C23—22no—
1253C23—24no—
1254C23—24no—
1255C23—24no—
1256C23—24no—
1257C23—44no—
1258C23—48no—
1259C23—44no—
1260C23—48no—
1261C23—82no—
1262C23—82no—
1263C23—84no—
1264C23—84no—
1265C23—82no—
1266C23—82no—
1267C23—82no—
1268C23—82no—
1269C23—84no—
1270C23—84no—
1271C23—162no—
1272C23—162no—
1273C23—162no—
1274C23—162no—
1275C23—162no—
1276C23—162no—
1277C23—162no—
1278C23—162no—
1279C23—162no—
1280C23—162no—
1281C23—164no—
1282C23—164no—
1283C23C2×H(5,𝔽2)14yes—
1284C23C2×H(5,𝔽2)12yes—
1285C23C2×H(5,𝔽2)14yes—
1286C23C2611yescharacteristic
1287Q8—216no—
1288Q8—44no—
1289Q8—88no—
1290Q8—84no—
1291Q8—162no—
1292D4—44no—
1293D4—416no—
1294D4—416no—
1295D4—416no—
1296D4—416no—
1297D4—48no—
1298D4—416no—
1299D4—48no—
1300D4—84no—
1301D4—84no—
1302D4—88no—
1303D4—88no—
1304D4—88no—
1305D4—88no—
1306D4—88no—
1307D4—164no—
1308D4—164no—
1309C2×C4—28no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—24no—
1313C2×C4—24no—
1314C2×C4—24no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—22no—
1318C2×C4—24no—
1319C2×C4—22no—
1320C2×C4—24no—
1321C2×C4—24no—
1322C2×C4—24no—
1323C2×C4—24no—
1324C2×C4—24no—
1325C2×C4—24no—
1326C2×C4—24no—
1327C2×C4—24no—
1328C2×C4—24no—
1329C2×C4—22no—
1330C2×C4—24no—
1331C2×C4—22no—
1332C2×C4—24no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—24no—
1336C2×C4—24no—
1337C2×C4—24no—
1338C2×C4—22no—
1339C2×C4—24no—
1340C2×C4—24no—
1341C2×C4—24no—
1342C2×C4—24no—
1343C2×C4—24no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—24no—
1347C2×C4—24no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—24no—
1351C2×C4—24no—
1352C2×C4—24no—
1353C2×C4—44no—
1354C2×C4—48no—
1355C2×C4—48no—
1356C2×C4—416no—
1357C2×C4—48no—
1358C2×C4—84no—
1359C2×C4—84no—
1360C2×C4—84no—
1361C2×C4—88no—
1362C2×C4—88no—
1363C2×C4—82no—
1364C2×C4—82no—
1365C2×C4—162no—
1366C2×C4—162no—
1367C2×C4—162no—
1368C2×C4—162no—
1369C2×C4—162no—
1370C2×C4C2×H(5,𝔽2)12yes—
1371C2×C4C2×H(5,𝔽2)14yes—
1372C2×C4C2×H(5,𝔽2)18yes—
1373C2×C4#58512yes—
1374C22—22no—
1375C22—24no—
1376C22—22no—
1377C22—24no—
1378C22—22no—
1379C22—28no—
1380C22—24no—
1381C22—24no—
1382C22—42no—
1383C22—42no—
1384C22—42no—
1385C22—42no—
1386C22—42no—
1387C22—42no—
1388C22—42no—
1389C22—44no—
1390C22—42no—
1391C22—42no—
1392C22—44no—
1393C22—42no—
1394C22—42no—
1395C22—42no—
1396C22—44no—
1397C22—42no—
1398C22—42no—
1399C22—44no—
1400C22—44no—
1401C22—44no—
1402C22—44no—
1403C22—44no—
1404C22—44no—
1405C22—44no—
1406C22—44no—
1407C22—44no—
1408C22—88no—
1409C22—168no—
1410C22—164no—
1411C22—164no—
1412C22—168no—
1413C22C22×H(5,𝔽2)11yescharacteristic
1414C22C22×H(5,𝔽2)12yes—
1415C22C22×H(5,𝔽2)11yescharacteristic
1416C22C2×#58511yescharacteristic
1417C222−1+612yes—
1418C4—28no—
1419C4—24no—
1420C4—22no—
1421C4—22no—
1422C4—42no—
1423C4—42no—
1424C4—44no—
1425C4—42no—
1426C4—42no—
1427C4—44no—
1428C4—42no—
1429C4—44no—
1430C4—44no—
1431C4—44no—
1432C4—44no—
1433C4—44no—
1434C4—44no—
1435C2—44no—
1436C2—44no—
1437C2—42no—
1438C2—82no—
1439C2—82no—
1440C2—84no—
1441C2#6281711yescharacteristic
1442C2#6281811yescharacteristic
1443C2#6288711yescharacteristic
1444C2#6291412yes—
1445C2#6293112yes—
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. #57977C2semidirect
2. #57179C2semidirect
3. #56377C2semidirect
4. #52012C2semidirect
5. #51945C2semidirect
6. #50878C2semidirect
7. #49594C2semidirect
8. #48933C2semidirect
9. #47861C2semidirect
10. #47833C2semidirect
11. #46362C2semidirect
12. #43188C2semidirect
13. #43015C2semidirect
14. #41053C2semidirect
15. #40651C2semidirect
16. #40493C2semidirect
17. #37957C2semidirect
18. #37761C2semidirect
19. #36718C2semidirect
20. #36082C2semidirect
21. #35740C2semidirect
22. #35563C2semidirect
23. #35347C2semidirect
25. C2×#560C22semidirect
27. C2×#548C22semidirect
28. C2×#543C22semidirect
29. C2×#539C22semidirect
30. C2×#538C22semidirect
31. C2×#535C22semidirect
33. C2×#525C22semidirect
35. C2×#520C22semidirect
36. #2848C22semidirect
37. #2842C22semidirect
38. #2830C22semidirect
39. #2829C22semidirect
40. #2820C22semidirect
41. #2814C22semidirect
42. #2803C22semidirect
43. #2800C22semidirect
44. #2800C22semidirect
45. #2786C22semidirect
46. #2786C22semidirect
47. #2757C22semidirect
48. #2740C22semidirect
49. #2735C22semidirect
50. #2735C22semidirect
51. #2730C22semidirect
52. #2730C22semidirect
53. #2730C22semidirect
54. #2727C22semidirect
55. #2723C22semidirect
56. #2722C22semidirect
57. #2717C22semidirect
58. #2715C22semidirect
59. #2715C22semidirect
60. #2711C22semidirect
61. #2711C22semidirect
62. #2710C22semidirect
63. #2707C22semidirect
64. #2706C22semidirect
65. #2704C22semidirect
66. #2704C22semidirect
67. #2700C22semidirect
68. #2697C22semidirect
69. #2697C22semidirect
70. #2697C22semidirect
71. #2697C22semidirect
72. #2694C22semidirect
73. #2692C22semidirect
74. #2691C22semidirect
75. #2691C22semidirect
76. #2685C22semidirect
77. #2685C22semidirect
78. #2685C22semidirect
79. #2684C22semidirect
80. #2684C22semidirect
81. #2683C22semidirect
82. #2683C22semidirect
83. #2682C22semidirect
84. #2681C22semidirect
85. #2681C22semidirect
86. #2678C22semidirect
87. #2678C22semidirect
88. #2678C22semidirect
89. #2676C22semidirect
90. #2676C22semidirect
91. #2673C22semidirect
92. #2672C22semidirect
93. #2672C22semidirect
94. #2672C22semidirect
95. #2672C22semidirect
96. #2671C22semidirect
97. #2668C22semidirect
98. #2667C22semidirect
99. #2662C22semidirect
100. #2662C22semidirect
101. #2661C22semidirect
102. #2659C22semidirect
103. #2659C22semidirect
104. #2651C22semidirect
105. #2638C22semidirect
106. #2637C22semidirect
107. #2632C22semidirect
108. #2626C22semidirect
109. #2626C22semidirect
110. #2626C22semidirect
111. #2618C22semidirect
112. #2618C22semidirect
114. #2616C22semidirect
115. #2610C22semidirect
116. #2602C22semidirect
117. #2602C22semidirect
118. #2601C22semidirect
119. #2599C22semidirect
120. #2584C22semidirect
121. #2583C22semidirect
122. #2574C22semidirect
123. #2560C22semidirect
124. #2560C22semidirect
125. #2557C22semidirect
126. #2556C22semidirect
127. #2554C22semidirect
128. #2543C22semidirect
129. #2543C22semidirect
130. #2534C22semidirect
131. #2534C22semidirect
132. #2531C22semidirect
133. #2531C22semidirect
134. #2522C22semidirect
135. #2521C22semidirect
136. #2518C22semidirect
137. #2490C22semidirect
138. #2480C22semidirect
139. #2480C22semidirect
140. #2479C22semidirect
141. #2474C22semidirect
142. #2472C22semidirect
143. #2467C22semidirect
144. #2465C22semidirect
145. #2465C22semidirect
146. #2464C22semidirect
147. #2464C22semidirect
148. #2463C22semidirect
149. #2462C22semidirect
150. #2461C22semidirect
151. #2461C22semidirect
152. #2460C22semidirect
153. #2458C22semidirect
154. #2449C22semidirect
155. #2449C22semidirect
156. #2443C22semidirect
160. #2435C22semidirect
161. #2435C22semidirect
164. #2430C22semidirect
165. #2428C22semidirect
166. #2427C22semidirect
167. #2426C22semidirect
168. #2425C22semidirect
169. #2425C22semidirect
170. #2425C22semidirect
171. #2425C22semidirect
172. #2424C22semidirect
173. #2418C22semidirect
174. #2418C22semidirect
175. #2416C22semidirect
176. #2416C22semidirect
177. #2414C22semidirect
180. #2409C22semidirect
181. #2409C22semidirect
185. #2408C22semidirect
186. #2408C22semidirect
187. #2408C22semidirect
190. #2405C22semidirect
191. #2405C22semidirect
194. #2399C22semidirect
196. #2388C22semidirect
197. C2×#395C22semidirect
198. #2378C22semidirect
199. #2375C22semidirect
200. #2374C22semidirect
201. #2368C22semidirect
202. #2366C22semidirect
203. #2361C22semidirect
204. #2359C22semidirect
205. #2353C22semidirect
206. #2349C22semidirect
208. #2341C22semidirect
209. #2335C22semidirect
210. #2329C22semidirect
211. #2325C22semidirect
212. #2316C22semidirect
213. #2312C22semidirect
214. #2312C22semidirect
215. #2309C22semidirect
218. #2280C22semidirect
1044. C2×D4H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
#579772
#571792
#563772
#520122
#519452
#508782
#495942
#489332
#478612
#478332
#463622
#431882
#430152
#410532
#406512
#404932
#379572
#377612
#367182
#360822
#357402
#355632
#353472