Finite Group Databasebeta

← #7683500

Subgroups — #7683500

Order 512.

6564 conjugacy classes of subgroups.

The subgroup lattice has 1496 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60048C212yesmaximal, complemented
2#59977C214yesmaximal, complemented
3#59947C212yesmaximal, complemented
4#59923C211yesmaximal, characteristic, complemented
5#59885C211yesmaximal, characteristic, complemented
6#59798C212yesmaximal, complemented
7#59182C212yesmaximal, complemented
8#59160C212yesmaximal, complemented
9#59124C212yesmaximal, complemented
10#59097C214yesmaximal, complemented
11#59056C212yesmaximal, complemented
12#44326C214yesmaximal, complemented
13#44265C214yesmaximal, complemented
14#44200C214yesmaximal, complemented
15#44158C214yesmaximal, complemented
16#43963C214yesmaximal, complemented
17#43894C214yesmaximal, complemented
18#35395C212yesmaximal, complemented
19#35392C214yesmaximal, complemented
20#34738C212yesmaximal, complemented
21C2×#2431C211yesmaximal, characteristic, complemented
22#34302C214yesmaximal, complemented
23#34277C212yesmaximal, complemented
24C23×#41C2211yescharacteristic
25C2×#555C2212yescomplemented
26C2×#550C2212yescomplemented
27C2×#546C2214yes—
28C2×#538C2212yes—
29C2×#538C2212yes—
30C2×#532C2212yescomplemented
31C2×#532C2212yescomplemented
32C22×#127C2211yescharacteristic
33C22×#124C2211yescharacteristic
34C2×#525C2212yes—
35C22×#121C2211yescharacteristic
36#2811C2211yescharacteristic, complemented
37#2809C2211yescharacteristic, complemented
38#2808C2212yescomplemented
39#2806C2212yescomplemented
40#2803C2214yescomplemented
41#2803C2214yescomplemented
42#2803C2214yescomplemented
43#2784C2212yescomplemented
44#2756C2214yescomplemented
45#2756C2214yescomplemented
46#2734C2211yescharacteristic, complemented
47#2733C2212yescomplemented
48#2733C2214yescomplemented
49#2733C2214yescomplemented
50#2733C2214yescomplemented
51#2733C2211yescharacteristic, complemented
52#2733C2214yescomplemented
53#2731C2212yescomplemented
54#2714C2214yescomplemented
55#2714C2214yescomplemented
56#2699C2214yescomplemented
57#2699C2212yescomplemented
58#2699C2214yescomplemented
59#2686C2214yescomplemented
60#2673C2214yescomplemented
61#2673C2214yescomplemented
62#2673C2214yescomplemented
63#2673C2214yescomplemented
64#2673C2214yescomplemented
65#2673C2214yescomplemented
66#2610C2214yescomplemented
67#2610C2214yescomplemented
68#2610C2214yescomplemented
69#2610C2214yescomplemented
70#2610C2214yescomplemented
71#2603C2214yescomplemented
72#2602C2214yescomplemented
73#2601C2214yescomplemented
74#2593C2212yescomplemented
75#2591C2212yes—
76#2586C2214yescomplemented
77#2586C2212yescomplemented
78#2583C2212yes—
79#2572C2212yescomplemented
80#2560C2214yescomplemented
81#2559C2214yescomplemented
82#2559C2214yescomplemented
83#2557C2214yescomplemented
84#2555C2214yescomplemented
85#2555C2212yescomplemented
86#2555C2214yescomplemented
87#2555C2214yescomplemented
88#2555C2214yescomplemented
89#2555C2214yescomplemented
90#2555C2214yescomplemented
91#2554C2214yescomplemented
92#2554C2214yescomplemented
93#2554C2214yescomplemented
94#2549C2214yes—
95#2548C2212yescomplemented
96#2544C2214yescomplemented
97#2543C2214yes—
98#2543C2214yescomplemented
99#2541C2212yescomplemented
100#2541C2214yescomplemented
101#2541C2214yescomplemented
102#2541C2214yescomplemented
103#2532C2214yescomplemented
104#2526C2214yescomplemented
105#2491C2214yescomplemented
106#2476C2214yescomplemented
107#2474C2214yescomplemented
108#2472C2214yes—
109#2472C2214yes—
110#2464C2214yescomplemented
111#2464C2214yescomplemented
112#2464C2214yescomplemented
113#2461C2214yescomplemented
114#2459C2214yescomplemented
115#2459C2214yescomplemented
116#2459C2214yescomplemented
117#2459C2214yescomplemented
118#2456C2214yescomplemented
119#2456C2214yescomplemented
120#2451C2214yescomplemented
121#2445C2214yescomplemented
122#2445C2214yescomplemented
123#2436C2212yes—
124#2435C2212yes—
125#2435C2212yes—
126#2434C2212yes—
127#2433C2214yes—
128#2433C2212yes—
129#2433C2212yes—
130#2432C2212yescomplemented
131#2432C2212yescomplemented
132#2431C2214yes—
133#2431C2212yes—
134#2431C2214yes—
135#2431C2212yes—
136#2431C2212yes—
137#2431C2212yes—
138#2431C2212yescomplemented
139#2431C2214yescomplemented
140#2431C2214yescomplemented
141#2431C2214yescomplemented
142#2431C2214yescomplemented
143#2431C2212yescomplemented
144#2430C2214yescomplemented
145#2430C2214yescomplemented
146#2430C2214yescomplemented
147#2428C2214yescomplemented
148#2428C2214yescomplemented
149#2428C2214yescomplemented
150#2428C2214yescomplemented
151#2424C2214yes—
152#2424C2214yes—
153#2414C2214yescomplemented
154#2414C2214yescomplemented
155#2414C2214yescomplemented
156#2410C2214yes—
157#2410C2214yes—
158#2410C2214yes—
159#2410C2214yes—
160#2408C2214yes—
161#2388C2214yescomplemented
162#2388C2214yescomplemented
163C2×#392C2214yes—
164#2374C2214yescomplemented
165#2374C2214yescomplemented
166#2373C2214yescomplemented
167#2373C2214yescomplemented
168#2372C2212yescomplemented
169#2372C2212yescomplemented
170#2372C2214yescomplemented
171#2372C2214yescomplemented
172#2369C2212yescomplemented
173#2368C2214yes—
174#2367C2214yescomplemented
175#2366C2212yescomplemented
176#2364C2214yescomplemented
177#2364C2214yescomplemented
178#2364C2214yescomplemented
179#2363C2214yescomplemented
180#2363C2214yescomplemented
181#2363C2214yescomplemented
182#2359C2214yescomplemented
183#2359C2214yescomplemented
184#2358C2214yes—
185#2358C2214yes—
186#2353C2214yes—
187#2353C2214yescomplemented
188#2342C2214yes—
189#2342C2214yes—
190#2339C2214yescomplemented
191D4×C22⋊C4C2214yes—
192#2337C2214yescomplemented
193#2335C2214yescomplemented
194#2333C2214yescomplemented
195#2333C2214yescomplemented
196#2329C2212yes—
197#2325C2212yes—
198#2321C2214yes—
199#2321C2214yes—
200#2312C2212yes—
201C4×C22⋊Q8C2212yes—
202C4×#123C2214yescomplemented
203C4×#121C2212yes—
204C4×#121C2214yescomplemented
205C4×#120C2214yes—
206C4×#120C2214yes—
207#2297C2212yescomplemented
208#2297C2212yescomplemented
209#2297C2214yescomplemented
210C2×#391C2211yescharacteristic
211C2×#390C2211yescharacteristic
212#2290C2214yes—
213#2290C2214yescomplemented
214C2×#386C2214yes—
215#2275C2214yes—
216#2273C2212yes—
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2212yes—
219C22×#41—44no—
220C22×#41—44no—
221C22×#41—44no—
222C22×#41C2312yes—
223C22×#41C2312yes—
224C22×#41C2314yes—
225C22×#41C2312yes—
226C22×#41C2312yes—
227C22×#41C2312yes—
228C23×Q8C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2314yes—
231C23×D4C2312yes—
232C23×D4C2311yescharacteristic
233C23×D4C2312yes—
234C24×C4C2311yescharacteristic
235C24×C4C2312yes—
236#555—48no—
237#550—48no—
238#546—232no—
239#538—216no—
240#538—48no—
241#532—48no—
242#532—48no—
243C2×C4⋊Q8C2312yes—
244C2×C4⋊Q8C2312yes—
245C2×#127—44no—
246C2×#127C2312yes—
247C2×#127C2312yes—
248C2×#127C2312yes—
249C2×#127C2312yes—
250C2×#127C2312yes—
251C2×#127C2314yes—
252C2×#127C2312yes—
253C2×#127C2314yes—
254C2×#127C2314yes—
255C2×#126C2314yes—
256C2×#126C2314yes—
257C2×#124—44no—
258C2×#124C2314yes—
259C2×#124C2314yes—
260C2×#124C2312yes—
261C2×#124C2312yes—
262C2×#124C2312yes—
263C2×#124C2312yes—
264C2×#124C2314yes—
265C2×#124C2314yes—
266C2×#124C2312yes—
267C2×#124C2312yes—
268C2×#124C2314yes—
269C2×#124C2314yes—
270C2×#124C2314yes—
271#525—48no—
272C2×#123C2314yes—
273C2×#123C2314yes—
274C2×#123C2314yes—
275C2×#123C2314yes—
276C2×#123C2314yes—
277C2×C22⋊Q8C2312yes—
278C2×C22⋊Q8C2312yes—
279C2×C22⋊Q8C2312yes—
280C2×C22⋊Q8C2312yes—
281C2×#121—44no—
282C2×#121C2312yes—
283C2×#121C2314yes—
284C2×#121C2314yes—
285C2×#121C2314yes—
286C2×#121C2314yes—
287C2×#121C2314yes—
288C2×#121C2312yes—
289C2×#121C2314yes—
290C2×#121C2312yes—
291C2×#121C2314yes—
292C2×#121C2312yes—
293C2×#121C2314yes—
294C2×#121C2314yes—
295C2×#121C2314yes—
296C2×#121C2314yes—
297C2×#121C2314yes—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2314yes—
301C2×#121C2314yes—
302C2×#121C2314yes—
303C2×#121C2314yes—
304C2×#121C2314yes—
305C2×#121C2314yes—
306C2×#120C2314yes—
307C2×#120C2314yes—
308C2×#120C2314yes—
309C2×#120C2314yes—
310C2×#120C2314yes—
311C2×C4×Q8C2312yes—
312C2×C4×D4C2314yes—
313C2×C4×D4C2314yes—
314C2×C4×D4C2314yes—
315C2×C4×D4C2314yes—
316C2×C4×D4C2314yes—
317C2×C4×D4C2314yes—
318C2×C4×D4C2314yes—
319C2×C4×D4C2314yes—
320C2×C4×D4C2314yes—
321C2×C4×D4C2314yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2314yes—
324C2×C4×D4C2314yes—
325C2×C4×D4C2314yes—
326C2×#117C2314yes—
327C2×#117C2312yes—
328C2×#117C2314yes—
329C2×#117C2314yes—
330C22×C4⋊C4C2311yescharacteristic
331C22×C22⋊C4C2312yes—
332C22×C22⋊C4C2312yes—
333C22×C22⋊C4C2314yes—
334C22×C22⋊C4C2314yes—
335C22×C22⋊C4C2314yes—
336C22×C22⋊C4C2314yes—
337C22×C42C2311yescharacteristic
338C22×C42C2311yescharacteristic
339C22×C42C2312yes—
340C22×C42C2312yes—
341#400C2312yes—
342#400C2312yes—
343#398C2314yes—
344#398C2312yes—
345#398C2312yes—
346#398C2314yes—
347#398C2314yes—
348#397C2314yes—
349#397C2314yes—
350#397C2314yes—
351#396C2314yes—
352#396C2314yes—
353#395C2312yes—
354#395C2312yes—
355#395C2314yes—
356#395C2314yes—
357#395C2314yes—
358#395C2314yes—
359#394C2314yes—
360#394C2312yes—
361#394C2312yes—
362#394C2314yes—
363#394C2314yes—
364#394C2314yes—
365#394C2314yes—
366#394C2314yes—
367#394C2314yes—
368#394C2314yes—
369#394C2314yes—
370#394C2314yes—
371#394C2314yes—
372#394C2314yes—
373#394C2314yes—
374#394C2314yes—
375#394C2314yes—
376#394C2314yes—
377#394C2314yes—
378#394C2314yes—
379#394C2314yes—
380#394C2314yes—
381#394C2314yes—
382#394C2314yes—
383#394C2314yes—
384#393C2314yes—
385#393C2314yes—
386#393C2314yes—
387#393C2314yes—
388#392C2314yes—
389#392C2314yes—
390#392C2314yes—
391#392C2314yes—
392#392C2314yes—
393#392C2314yes—
394#392C2314yes—
395#392C2314yes—
396#392C2314yes—
397#392C2314yes—
398#392C2314yes—
399#392C2314yes—
400#392C2314yes—
401#392C2314yes—
402#392C2314yes—
403#392C2314yes—
404#392C2314yes—
405#392C2314yes—
406#392C2314yes—
407#392C2314yes—
408#392C2314yes—
409#392C2314yes—
410#392C2314yes—
411#392C2314yes—
412#392C2314yes—
413#392C2314yes—
414#392C2314yes—
415#392C2314yes—
416#392C2314yes—
417#391C2314yes—
418#391C2311yescharacteristic
419#391C2314yes—
420#391C2311yescharacteristic
421#391C2312yes—
422#391C2314yes—
423#391C2314yes—
424#391C2314yes—
425#391C2314yes—
426#391C2311yescharacteristic
427#391C2312yes—
428#391C2311yescharacteristic
429#391C2312yes—
430#391C2312yes—
431#391C2312yes—
432#390C2314yes—
433#390C2314yes—
434#390C2314yes—
435#390C2314yes—
436#390C2314yes—
437#390C2314yes—
438#390C2314yes—
439#390C2314yes—
440#390C2312yes—
441#390C2314yes—
442#390C2314yes—
443#390C2314yes—
444#390C2314yes—
445#390C2314yes—
446#390C2312yes—
447#390C2312yes—
448#390C2314yes—
449#390C2314yes—
450#390C2314yes—
451#390C2312yes—
452#390C2312yes—
453#390C2314yes—
454#390C2312yes—
455#390C2312yes—
456#390C2312yes—
457#390C2312yes—
458#390C2314yes—
459#389C2314yes—
460#389C2314yes—
461#389C2314yes—
462#389C2314yes—
463#389C2314yes—
464#389C2312yes—
465#389C2312yes—
466#388C2314yes—
467#388C2314yes—
468#388C2314yes—
469#388C2314yes—
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
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#387C2314yes—
507#387C2314yes—
508#387C2314yes—
509#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#386C2314yes—
519#386C2314yes—
520#386C2314yes—
521#386C2314yes—
522#386C2314yes—
523#386C2314yes—
524#386C2314yes—
525#386C2314yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2314yes—
530#386C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yes—
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#386C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#383C2314yes—
571#381C2314yes—
572#381C2314yes—
573#381C2314yes—
574#380C2312yes—
575#380C2312yes—
576#380C2314yes—
577#380C2314yes—
578#379C2314yes—
579#379C2314yes—
580#379C2314yes—
581C4×C4⋊C4C2314yes—
582C4×C4⋊C4C2312yes—
583C4×C4⋊C4C2314yes—
584C4×C4⋊C4C2314yes—
585C4×C4⋊C4C2314yes—
586C4×C4⋊C4C2314yes—
587C4×C4⋊C4C2314yes—
588C4×C4⋊C4C2314yes—
589C4×C4⋊C4C2312yes—
590C4×C22⋊C4C2314yes—
591C4×C22⋊C4C2314yes—
592C4×C22⋊C4C2314yes—
593C4×C22⋊C4C2314yes—
594C4×C22⋊C4C2314yes—
595C4×C22⋊C4C2312yes—
596C4×C22⋊C4C2314yes—
597C4×C22⋊C4C2314yes—
598C4×C22⋊C4C2314yes—
599C4×C22⋊C4C2314yes—
600C4×C22⋊C4C2314yes—
601C4×C22⋊C4C2314yes—
602C4×C22⋊C4C2312yes—
603C4×C22⋊C4C2314yes—
604C4×C22⋊C4C2312yes—
605C4×C22⋊C4C2314yes—
606C4×C22⋊C4C2314yes—
607C4×C22⋊C4C2314yes—
608C4×C22⋊C4C2314yes—
609C4×C22⋊C4C2314yes—
610C4×C22⋊C4C2314yes—
611C4×C22⋊C4C2312yes—
612C4×C22⋊C4C2314yes—
613C4×C22⋊C4C2312yes—
614C4×C22⋊C4C2312yes—
615C4×C22⋊C4C2312yes—
616C4×C22⋊C4C2314yes—
617C4×C22⋊C4C2312yes—
618C4×C22⋊C4C2314yes—
619C4×C22⋊C4C2314yes—
620C4×C22⋊C4C2314yes—
621#376C2314yes—
622#376C2314yes—
623#376C2314yes—
624C2×#95C2312yes—
625C2×#95C2314yes—
626C2×#95C2314yes—
627C2×#95C2314yes—
628C25C2412yes—
629C25C2412yes—
630C25C2411yescharacteristic
631C2×#41—216no—
632C2×#41—28no—
633C2×#41—28no—
634C2×#41—44no—
635C2×#41—44no—
636C2×#41—44no—
637C2×#41—44no—
638C2×#41—44no—
639C2×#41—44no—
640C2×#41—44no—
641C2×#41—44no—
642C2×#41—48no—
643C2×#41—44no—
644C2×#41—44no—
645C2×#41—44no—
646C2×#41—44no—
647C2×#41—44no—
648C2×#41—464no—
649C2×#41—84no—
650C22×Q8—24no—
651C22×Q8—42no—
652C22×Q8—42no—
653C22×Q8C2412yes—
654C22×Q8C2412yes—
655C22×Q8C2411yescharacteristic
656C22×Q8C2412yes—
657C22×Q8C2412yes—
658C22×Q8C2411yescharacteristic
659C22×D4—24no—
660C22×D4—216no—
661C22×D4—42no—
662C22×D4—44no—
663C22×D4—42no—
664C22×D4—42no—
665C22×D4—42no—
666C22×D4—44no—
667C22×D4—42no—
668C22×D4—44no—
669C22×D4—44no—
670C22×D4—48no—
671C22×D4—84no—
672C22×D4—84no—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2412yes—
678C22×D4C2412yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C22×D4C2414yes—
682C22×D4C2414yes—
683C22×D4C2412yes—
684C22×D4C2414yes—
685C22×D4C2414yes—
686C22×D4C2412yes—
687C22×D4C2412yes—
688C22×D4C2412yes—
689C22×D4C2414yes—
690C22×D4C2412yes—
691C22×D4C2414yes—
692C22×D4C2412yes—
693C22×D4C2411yescharacteristic
694C22×D4C2414yes—
695C22×D4C2414yes—
696C22×D4C2414yes—
697C22×D4C2412yes—
698C22×D4C2414yes—
699C22×D4C2414yes—
700C22×D4C2412yes—
701C22×D4C2411yescharacteristic
702C23×C4—24no—
703C23×C4—28no—
704C23×C4—42no—
705C23×C4—42no—
706C23×C4—44no—
707C23×C4—44no—
708C23×C4C2411yescharacteristic
709C23×C4C2412yes—
710C23×C4C2412yes—
711C23×C4C2414yes—
712C23×C4C2412yes—
713C23×C4C2412yes—
714C23×C4C2412yes—
715C23×C4C2412yes—
716C23×C4C2412yes—
717C23×C4C2412yes—
718C23×C4C2414yes—
719C23×C4C2414yes—
720C23×C4C2414yes—
721C23×C4C2414yes—
722C23×C4C2414yes—
723C23×C4C2414yes—
724C23×C4C2412yes—
725C23×C4C2412yes—
726C23×C4C2411yescharacteristic
727C4⋊Q8—28no—
728C4⋊Q8—44no—
729#127—28no—
730#127—44no—
731#127—44no—
732#127—44no—
733#127—44no—
734#127—44no—
735#127—48no—
736#127—84no—
737#127—84no—
738#126—216no—
739#126—48no—
740#124—216no—
741#124—216no—
742#124—28no—
743#124—28no—
744#124—48no—
745#124—44no—
746#124—44no—
747#124—44no—
748#124—48no—
749#124—44no—
750#124—48no—
751#124—84no—
752#124—84no—
753#123—216no—
754#123—216no—
755#123—216no—
756#123—48no—
757#123—48no—
758C22⋊Q8—44no—
759C22⋊Q8—44no—
760C22⋊Q8—44no—
761C22⋊Q8#41116yescomplemented
762#121—216no—
763#121—28no—
764#121—216no—
765#121—216no—
766#121—216no—
767#121—216no—
768#121—44no—
769#121—48no—
770#121—44no—
771#121—44no—
772#121—48no—
773#121—48no—
774#121—48no—
775#121—48no—
776#121—48no—
777#121—48no—
778#121—48no—
779#121—44no—
780#121—48no—
781#121—44no—
782#121—84no—
783#121—84no—
784#121—84no—
785#121—84no—
786#120—216no—
787#120—216no—
788#120—216no—
789#120—48no—
790#120—48no—
791C4×Q8—44no—
792C4×D4—216no—
793C4×D4—216no—
794C4×D4—216no—
795C4×D4—216no—
796C4×D4—44no—
797C4×D4—48no—
798C4×D4—48no—
799C4×D4—48no—
800C4×D4—48no—
801C4×D4—48no—
802C4×D4—48no—
803C4×D4—48no—
804C4×D4—84no—
805C4×D4—84no—
806#117—44no—
807#117—48no—
808#117—48no—
809#117—84no—
810C2×C4⋊C4—42no—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2412yes—
818C2×C4⋊C4C2411yescharacteristic
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2411yescharacteristic
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2414yes—
838C2×C22⋊C4—28no—
839C2×C22⋊C4—28no—
840C2×C22⋊C4—216no—
841C2×C22⋊C4—216no—
842C2×C22⋊C4—48no—
843C2×C22⋊C4—84no—
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⋊C4C2414yes—
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⋊C4C2414yes—
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×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C42—42no—
900C2×C42—42no—
901C2×C42—44no—
902C2×C42—44no—
903C2×C42C2412yes—
904C2×C42C2412yes—
905C2×C42C2414yes—
906C2×C42C2414yes—
907C2×C42C2412yes—
908C2×C42C2412yes—
909C2×C42C2414yes—
910C2×C42C2414yes—
911C2×C42C2414yes—
912C2×C42C2414yes—
913C2×C42C2414yes—
914C2×C42C2414yes—
915C2×C42C2414yes—
916C2×C42C2414yes—
917C2×C42C2414yes—
918C2×C42C2412yes—
919C2×C42C2412yes—
920C2×C42C2411yescharacteristic
921C2×C42C2411yescharacteristic
922C2×C42C2412yes—
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—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2412yes—
945#95C2412yes—
946#95C2414yes—
947#95C2412yes—
948#95C2412yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959C24—22no—
960C24—24no—
961C24—28no—
962C24—24no—
963C24—24no—
964C24—28no—
965C24—24no—
966C24—44no—
967C24—42no—
968C24—41no—
969C24—41no—
970C24—42no—
971C24—42no—
972C24—42no—
973C24—44no—
974C24C2512yes—
975C24C2512yes—
976C24C2514yes—
977C24C2514yes—
978C24C2512yes—
979C24C2511yescharacteristic
980#41—432no—
981#41—432no—
982#41—432no—
983#41—432no—
984#41—816no—
985#41—832no—
986C2×Q8—24no—
987C2×Q8—22no—
988C2×Q8—24no—
989C2×Q8—24no—
990C2×Q8—42no—
991C2×Q8—41no—
992C2×Q8—41no—
993C2×Q8—41no—
994C2×Q8—42no—
995C2×Q8—41no—
996C2×Q8—42no—
997C2×Q8—42no—
998C2×Q8—42no—
999C2×Q8—42no—
1000C2×Q8—44no—
1001C2×Q8—416no—
1002C2×Q8C2×#4118yescomplemented
1003C2×Q8H(5,𝔽2)14yes—
1004C2×D4—28no—
1005C2×D4—28no—
1006C2×D4—28no—
1007C2×D4—28no—
1008C2×D4—28no—
1009C2×D4—24no—
1010C2×D4—28no—
1011C2×D4—24no—
1012C2×D4—24no—
1013C2×D4—28no—
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—28no—
1017C2×D4—28no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—24no—
1023C2×D4—28no—
1024C2×D4—28no—
1025C2×D4—24no—
1026C2×D4—24no—
1027C2×D4—24no—
1028C2×D4—22no—
1029C2×D4—24no—
1030C2×D4—24no—
1031C2×D4—24no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—42no—
1035C2×D4—41no—
1036C2×D4—41no—
1037C2×D4—41no—
1038C2×D4—42no—
1039C2×D4—41no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—44no—
1048C2×D4—416no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—42no—
1055C2×D4—44no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—42no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—42no—
1077C2×D4—44no—
1078C2×D4—42no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—42no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—432no—
1091C2×D4—88no—
1092C2×D4—832no—
1093C2×D4—816no—
1094C2×D4H(5,𝔽2)14yes—
1095C22×C4—24no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—28no—
1102C22×C4—24no—
1103C22×C4—24no—
1104C22×C4—24no—
1105C22×C4—24no—
1106C22×C4—28no—
1107C22×C4—24no—
1108C22×C4—24no—
1109C22×C4—24no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—24no—
1113C22×C4—24no—
1114C22×C4—24no—
1115C22×C4—24no—
1116C22×C4—28no—
1117C22×C4—28no—
1118C22×C4—28no—
1119C22×C4—28no—
1120C22×C4—28no—
1121C22×C4—28no—
1122C22×C4—42no—
1123C22×C4—44no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—44no—
1136C22×C4—42no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—416no—
1150C22×C4—432no—
1151C22×C4C2×#4118yes—
1152C22×C4H(5,𝔽2)14yes—
1153C22×C4C2512yes—
1154C22×C4C2514yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2514yes—
1158C22×C4C2514yes—
1159C22×C4C2514yes—
1160C22×C4C2514yes—
1161C22×C4C2514yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2514yes—
1165C22×C4C2514yes—
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2511yescharacteristic
1169C22×C4C2511yescharacteristic
1170C4⋊C4—28no—
1171C4⋊C4—28no—
1172C4⋊C4—24no—
1173C4⋊C4—28no—
1174C4⋊C4—28no—
1175C4⋊C4—28no—
1176C4⋊C4—28no—
1177C4⋊C4—41no—
1178C4⋊C4—42no—
1179C4⋊C4—41no—
1180C4⋊C4—44no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—42no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—42no—
1189C4⋊C4—42no—
1190C4⋊C4—44no—
1191C4⋊C4—42no—
1192C4⋊C4—44no—
1193C4⋊C4—42no—
1194C4⋊C4—42no—
1195C4⋊C4C2×#4118yescomplemented
1196C4⋊C4C2×#41116yescomplemented
1197C22⋊C4—28no—
1198C22⋊C4—28no—
1199C22⋊C4—28no—
1200C22⋊C4—28no—
1201C22⋊C4—28no—
1202C22⋊C4—28no—
1203C22⋊C4—28no—
1204C22⋊C4—28no—
1205C22⋊C4—28no—
1206C22⋊C4—28no—
1207C22⋊C4—28no—
1208C22⋊C4—28no—
1209C22⋊C4—28no—
1210C22⋊C4—28no—
1211C22⋊C4—28no—
1212C22⋊C4—28no—
1213C22⋊C4—28no—
1214C22⋊C4—28no—
1215C22⋊C4—28no—
1216C22⋊C4—28no—
1217C22⋊C4—28no—
1218C22⋊C4—28no—
1219C22⋊C4—28no—
1220C22⋊C4—28no—
1221C22⋊C4—28no—
1222C22⋊C4—28no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
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—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4C2×#41116yes—
1252C42—28no—
1253C42—28no—
1254C42—24no—
1255C42—24no—
1256C42—24no—
1257C42—24no—
1258C42—28no—
1259C42—44no—
1260C42—44no—
1261C42—42no—
1262C42—42no—
1263C42—41no—
1264C42—41no—
1265C42—42no—
1266C42—44no—
1267C42—44no—
1268C42—44no—
1269C42—44no—
1270C42—44no—
1271C42—44no—
1272C23—21no—
1273C23—21no—
1274C23—22no—
1275C23—24no—
1276C23—22no—
1277C23—22no—
1278C23—24no—
1279C23—24no—
1280C23—24no—
1281C23—24no—
1282C23—24no—
1283C23—24no—
1284C23—24no—
1285C23—24no—
1286C23—24no—
1287C23—24no—
1288C23—24no—
1289C23—24no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—24no—
1295C23—22no—
1296C23—22no—
1297C23—24no—
1298C23—24no—
1299C23—24no—
1300C23—24no—
1301C23—24no—
1302C23—24no—
1303C23—48no—
1304C23—416no—
1305C23—44no—
1306C23—44no—
1307C23—48no—
1308C23—44no—
1309C23—48no—
1310C23—84no—
1311C23—88no—
1312C23—84no—
1313C23—84no—
1314C23—88no—
1315C23—84no—
1316C23—84no—
1317C23—88no—
1318C23C22×#4114yes—
1319C23C2×H(5,𝔽2)14yes—
1320C23C2×H(5,𝔽2)12yes—
1321C23C2611yescharacteristic
1322Q8—44no—
1323Q8—48no—
1324Q8—48no—
1325Q8—44no—
1326Q8—84no—
1327Q8—162no—
1328D4—44no—
1329D4—48no—
1330D4—48no—
1331D4—416no—
1332D4—416no—
1333D4—416no—
1334D4—44no—
1335D4—48no—
1336D4—48no—
1337D4—48no—
1338D4—416no—
1339D4—88no—
1340D4—84no—
1341D4—88no—
1342D4—88no—
1343D4—88no—
1344D4—88no—
1345D4—88no—
1346D4—84no—
1347D4—84no—
1348D4—88no—
1349D4—84no—
1350D4—88no—
1351D4—88no—
1352D4—88no—
1353D4—88no—
1354D4—164no—
1355D4—162no—
1356D4—164no—
1357C2×C4—28no—
1358C2×C4—216no—
1359C2×C4—22no—
1360C2×C4—24no—
1361C2×C4—22no—
1362C2×C4—24no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—21no—
1366C2×C4—22no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—22no—
1371C2×C4—24no—
1372C2×C4—22no—
1373C2×C4—24no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—24no—
1377C2×C4—24no—
1378C2×C4—24no—
1379C2×C4—24no—
1380C2×C4—24no—
1381C2×C4—24no—
1382C2×C4—24no—
1383C2×C4—24no—
1384C2×C4—24no—
1385C2×C4—24no—
1386C2×C4—24no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—24no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—24no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—24no—
1397C2×C4—24no—
1398C2×C4—24no—
1399C2×C4—24no—
1400C2×C4—44no—
1401C2×C4—48no—
1402C2×C4—48no—
1403C2×C4—48no—
1404C2×C4—48no—
1405C2×C4—48no—
1406C2×C4—48no—
1407C2×C4—416no—
1408C2×C4—48no—
1409C2×C4—88no—
1410C2×C4—88no—
1411C2×C4—88no—
1412C2×C4—88no—
1413C2×C4—88no—
1414C2×C4—88no—
1415C2×C4—84no—
1416C2×C4—84no—
1417C2×C4C22×#4114yes—
1418C2×C4C22×#4118yes—
1419C2×C4C22×#4118yes—
1420C2×C4C22×#4114yes—
1421C2×C4C2×H(5,𝔽2)14yes—
1422C2×C4C2×H(5,𝔽2)14yes—
1423C2×C4C2×H(5,𝔽2)12yes—
1424C2×C4C2×H(5,𝔽2)12yes—
1425C22—24no—
1426C22—24no—
1427C22—22no—
1428C22—22no—
1429C22—28no—
1430C22—24no—
1431C22—44no—
1432C22—42no—
1433C22—42no—
1434C22—44no—
1435C22—44no—
1436C22—44no—
1437C22—44no—
1438C22—44no—
1439C22—44no—
1440C22—44no—
1441C22—44no—
1442C22—44no—
1443C22—44no—
1444C22—44no—
1445C22—44no—
1446C22—42no—
1447C22—42no—
1448C22—44no—
1449C22—44no—
1450C22—42no—
1451C22—44no—
1452C22—42no—
1453C22—44no—
1454C22—44no—
1455C22—42no—
1456C22—42no—
1457C22—44no—
1458C22—816no—
1459C22—88no—
1460C22—168no—
1461C22#348314yes—
1462C22C23×#4112yes—
1463C22C22×H(5,𝔽2)11yescharacteristic
1464C22C22×H(5,𝔽2)11yescharacteristic
1465C22C22×H(5,𝔽2)11yescharacteristic
1466C22H(7,𝔽2)12yes—
1467C4—24no—
1468C4—28no—
1469C4—24no—
1470C4—28no—
1471C4—24no—
1472C4—22no—
1473C4—22no—
1474C4—24no—
1475C4—44no—
1476C4—44no—
1477C4—44no—
1478C4—42no—
1479C4—44no—
1480C4—42no—
1481C4—42no—
1482C4—44no—
1483C4—44no—
1484C2—24no—
1485C2—44no—
1486C2—84no—
1487C2—82no—
1488C2—82no—
1489C2—84no—
1490C2C2×#348311yescharacteristic
1491C2#6281711yescharacteristic
1492C2#6287411yescharacteristic
1493C2#6298312yes—
1494C2#6298612yes—
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. #60048C2semidirect
2. #59977C2semidirect
3. #59947C2semidirect
4. #59923C2semidirect
5. #59885C2semidirect
6. #59798C2semidirect
7. #59182C2semidirect
8. #59160C2semidirect
9. #59124C2semidirect
10. #59097C2semidirect
11. #59056C2semidirect
12. #44326C2semidirect
13. #44265C2semidirect
14. #44200C2semidirect
15. #44158C2semidirect
16. #43963C2semidirect
17. #43894C2semidirect
18. #35395C2semidirect
19. #35392C2semidirect
20. #34738C2semidirect
21. C2×#2431C2semidirect
22. #34302C2semidirect
23. #34277C2semidirect
25. C2×#555C22semidirect
26. C2×#550C22semidirect
30. C2×#532C22semidirect
31. C2×#532C22semidirect
36. #2811C22semidirect
37. #2809C22semidirect
38. #2808C22semidirect
39. #2806C22semidirect
40. #2803C22semidirect
41. #2803C22semidirect
42. #2803C22semidirect
43. #2784C22semidirect
44. #2756C22semidirect
45. #2756C22semidirect
46. #2734C22semidirect
47. #2733C22semidirect
48. #2733C22semidirect
49. #2733C22semidirect
50. #2733C22semidirect
51. #2733C22semidirect
52. #2733C22semidirect
53. #2731C22semidirect
54. #2714C22semidirect
55. #2714C22semidirect
56. #2699C22semidirect
57. #2699C22semidirect
58. #2699C22semidirect
59. #2686C22semidirect
60. #2673C22semidirect
61. #2673C22semidirect
62. #2673C22semidirect
63. #2673C22semidirect
64. #2673C22semidirect
65. #2673C22semidirect
66. #2610C22semidirect
67. #2610C22semidirect
68. #2610C22semidirect
69. #2610C22semidirect
70. #2610C22semidirect
71. #2603C22semidirect
72. #2602C22semidirect
73. #2601C22semidirect
74. #2593C22semidirect
76. #2586C22semidirect
77. #2586C22semidirect
79. #2572C22semidirect
80. #2560C22semidirect
81. #2559C22semidirect
82. #2559C22semidirect
83. #2557C22semidirect
84. #2555C22semidirect
85. #2555C22semidirect
86. #2555C22semidirect
87. #2555C22semidirect
88. #2555C22semidirect
89. #2555C22semidirect
90. #2555C22semidirect
91. #2554C22semidirect
92. #2554C22semidirect
93. #2554C22semidirect
95. #2548C22semidirect
96. #2544C22semidirect
98. #2543C22semidirect
99. #2541C22semidirect
100. #2541C22semidirect
101. #2541C22semidirect
102. #2541C22semidirect
103. #2532C22semidirect
104. #2526C22semidirect
105. #2491C22semidirect
106. #2476C22semidirect
107. #2474C22semidirect
110. #2464C22semidirect
111. #2464C22semidirect
112. #2464C22semidirect
113. #2461C22semidirect
114. #2459C22semidirect
115. #2459C22semidirect
116. #2459C22semidirect
117. #2459C22semidirect
118. #2456C22semidirect
119. #2456C22semidirect
120. #2451C22semidirect
121. #2445C22semidirect
122. #2445C22semidirect
130. #2432C22semidirect
131. #2432C22semidirect
138. #2431C22semidirect
139. #2431C22semidirect
140. #2431C22semidirect
141. #2431C22semidirect
142. #2431C22semidirect
143. #2431C22semidirect
144. #2430C22semidirect
145. #2430C22semidirect
146. #2430C22semidirect
147. #2428C22semidirect
148. #2428C22semidirect
149. #2428C22semidirect
150. #2428C22semidirect
153. #2414C22semidirect
154. #2414C22semidirect
155. #2414C22semidirect
161. #2388C22semidirect
162. #2388C22semidirect
164. #2374C22semidirect
165. #2374C22semidirect
166. #2373C22semidirect
167. #2373C22semidirect
168. #2372C22semidirect
169. #2372C22semidirect
170. #2372C22semidirect
171. #2372C22semidirect
172. #2369C22semidirect
174. #2367C22semidirect
175. #2366C22semidirect
176. #2364C22semidirect
177. #2364C22semidirect
178. #2364C22semidirect
179. #2363C22semidirect
180. #2363C22semidirect
181. #2363C22semidirect
182. #2359C22semidirect
183. #2359C22semidirect
187. #2353C22semidirect
190. #2339C22semidirect
192. #2337C22semidirect
193. #2335C22semidirect
194. #2333C22semidirect
195. #2333C22semidirect
202. C4×#123C22semidirect
204. C4×#121C22semidirect
207. #2297C22semidirect
208. #2297C22semidirect
209. #2297C22semidirect
213. #2290C22semidirect
761. C22⋊Q8#41semidirect
1002. C2×Q8C2×#41semidirect
1195. C4⋊C4C2×#41semidirect
1196. C4⋊C4C2×#41semidirect

Maximal subgroups

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

subgroupindex
#600482
#599772
#599472
#599232
#598852
#597982
#591822
#591602
#591242
#590972
#590562
#443262
#442652
#442002
#441582
#439632
#438942
#353952
#353922
#347382
C2×#24312
#343022
#342772