Finite Group Databasebeta

← #7634226

Subgroups — #7634226

Order 512.

6134 conjugacy classes of subgroups.

The subgroup lattice has 1365 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52185C214yesmaximal, complemented
2#52178C214yesmaximal, complemented
3#52129C214yesmaximal, complemented
4#52117C214yesmaximal, complemented
5#36736C214yesmaximal, complemented
6#36735C214yesmaximal, complemented
7#36734C214yesmaximal, complemented
8#36733C214yesmaximal, complemented
9#36732C211yesmaximal, characteristic, complemented
10#36731C211yesmaximal, characteristic, complemented
11#36730C212yesmaximal, complemented
12#36729C212yesmaximal, complemented
13#36728C211yesmaximal, characteristic, complemented
14#36727C211yesmaximal, characteristic, complemented
15#36726C214yesmaximal, complemented
16#36725C214yesmaximal, complemented
17#36614C212yesmaximal, complemented
18#34959C214yesmaximal, complemented
19#34740C214yesmaximal, complemented
20#34578C211yesmaximal, characteristic, complemented
21#34575C211yesmaximal, characteristic, complemented
22#34082C212yesmaximal, complemented
23C2×#2280C211yesmaximal, characteristic, complemented
24C25×C4C2211yescharacteristic
25C2×#529C2214yescomplemented
26C2×#525C2212yes—
27C2×#525C2212yes—
28C2×#525C2212yes—
29C22×#117C2212yes—
30#2849C2214yes—
31#2849C2214yes—
32#2849C2214yes—
33#2848C2212yes—
34#2848C2212yes—
35#2848C2212yes—
36#2848C2212yes—
37#2847C2212yes—
38#2847C2212yes—
39#2847C2212yes—
40#2847C2212yes—
41#2846C2214yes—
42#2748C2214yescomplemented
43#2747C2214yescomplemented
44#2747C2214yescomplemented
45#2746C2214yescomplemented
46#2746C2214yescomplemented
47#2745C2214yescomplemented
48#2745C2214yescomplemented
49#2744C2214yescomplemented
50#2744C2214yescomplemented
51#2743C2214yescomplemented
52#2743C2214yescomplemented
53#2742C2214yescomplemented
54#2741C2214yescomplemented
55#2741C2214yescomplemented
56#2740C2214yescomplemented
57#2740C2214yescomplemented
58#2739C2214yescomplemented
59#2739C2214yescomplemented
60#2738C2214yescomplemented
61#2738C2214yescomplemented
62#2737C2214yescomplemented
63#2737C2214yescomplemented
64#2736C2214yes—
65#2735C2214yes—
66#2735C2214yes—
67#2735C2214yes—
68#2722C2214yescomplemented
69#2717C2214yescomplemented
70#2707C2214yescomplemented
71#2706C2214yescomplemented
72#2705C2214yescomplemented
73#2704C2214yescomplemented
74#2703C2214yescomplemented
75#2702C2214yescomplemented
76#2701C2214yescomplemented
77#2700C2214yescomplemented
78#2699C2214yescomplemented
79#2698C2214yescomplemented
80#2697C2214yes—
81#2697C2214yes—
82#2696C2214yescomplemented
83#2695C2214yescomplemented
84#2694C2214yescomplemented
85#2693C2214yescomplemented
86#2692C2214yescomplemented
87#2691C2214yescomplemented
88#2690C2214yescomplemented
89#2689C2214yescomplemented
90#2688C2214yescomplemented
91#2687C2214yescomplemented
92#2687C2214yescomplemented
93#2686C2214yescomplemented
94#2685C2214yes—
95#2685C2214yes—
96#2685C2214yes—
97#2685C2214yes—
98#2684C2214yes—
99#2684C2214yes—
100#2678C2214yes—
101#2678C2214yes—
102#2672C2214yescomplemented
103#2671C2214yescomplemented
104#2670C2214yes—
105#2668C2214yes—
106#2667C2214yescomplemented
107#2665C2214yescomplemented
108#2663C2214yescomplemented
109#2661C2214yescomplemented
110#2659C2211yescharacteristic, complemented
111#2659C2212yescomplemented
112#2656C2211yescharacteristic, complemented
113#2646C2211yescharacteristic, complemented
114#2646C2211yescharacteristic, complemented
115#2639C2212yescomplemented
116#2626C2214yes—
117#2617C2214yes—
118#2597C2214yescomplemented
119#2595C2214yescomplemented
120#2589C2214yescomplemented
121#2587C2214yescomplemented
122#2578C2214yescomplemented
123#2576C2214yescomplemented
124#2559C2214yescomplemented
125#2557C2214yescomplemented
126#2510C2214yescomplemented
127#2505C2214yescomplemented
128#2481C2214yescomplemented
129#2480C2214yes—
130#2480C2214yes—
131#2479C2214yescomplemented
132#2478C2214yescomplemented
133#2477C2214yescomplemented
134#2476C2214yescomplemented
135#2475C2214yescomplemented
136#2474C2214yescomplemented
137#2473C2214yescomplemented
138#2472C2214yes—
139#2472C2214yes—
140#2471C2214yescomplemented
141#2470C2214yescomplemented
142#2450C2214yescomplemented
143#2449C2214yescomplemented
144#2444C2214yescomplemented
145#2443C2214yescomplemented
146#2424C2214yes—
147#2424C2214yes—
148#2418C2214yes—
149#2418C2214yes—
150#2401C2214yescomplemented
151#2398C2214yescomplemented
152#2396C2214yescomplemented
153#2396C2214yescomplemented
154#2396C2214yescomplemented
155#2395C2214yescomplemented
156#2395C2214yescomplemented
157#2395C2214yescomplemented
158#2395C2214yescomplemented
159#2392C2214yescomplemented
160#2392C2214yescomplemented
161#2388C2214yescomplemented
162#2335C2214yescomplemented
163#2335C2214yescomplemented
164#2333C2214yescomplemented
165#2332C2214yescomplemented
166#2329C2212yescomplemented
167#2329C2212yescomplemented
168#2325C2212yescomplemented
169#2325C2212yescomplemented
170#2321C2214yes—
171#2321C2214yes—
172C4×#126C2214yescomplemented
173C4×#124C2214yescomplemented
174C4×C22⋊Q8C2214yescomplemented
175C4×#123C2214yescomplemented
176C4×#121C2214yescomplemented
177C4×#121C2214yescomplemented
178C4×#120C2214yes—
179C4×#120C2214yes—
180C4×#120C2214yes—
181C4×#120C2214yes—
182#2298C2214yescomplemented
183#2298C2214yescomplemented
184#2297C2214yescomplemented
185#2293C2214yescomplemented
186#2293C2214yescomplemented
187#2290C2214yescomplemented
188#2290C2214yescomplemented
189#2290C2214yescomplemented
190#2280C2212yes—
191#2280C2212yes—
192#2280C2212yes—
193#2280C2214yes—
194#2280C2214yes—
195#2280C2214yes—
196#2280C2214yes—
197C2×#381C2211yescharacteristic
198C2×#381C2211yescharacteristic
199C2×#380C2212yes—
200C2×#380C2211yescharacteristic
201C2×#380C2211yescharacteristic
202C2×#379C2212yes—
203C42×D4C2214yescomplemented
204C2×C4×C22⋊C4C2211yescharacteristic
205C2×C4×C22⋊C4C2211yescharacteristic
206C2×C4×C22⋊C4C2212yes—
207C26C2311yescharacteristic
208C22×#41C2312yes—
209C24×C4—28no—
210C24×C4—48no—
211C24×C4C2311yescharacteristic
212C24×C4C2312yes—
213C24×C4C2312yes—
214C24×C4C2311yescharacteristic
215C24×C4C2311yescharacteristic
216C24×C4C2312yes—
217C24×C4C2312yes—
218C24×C4C2311yescharacteristic
219C24×C4C2311yescharacteristic
220C24×C4C2311yescharacteristic
221#529—416no—
222C2×#126C2314yes—
223C2×#126C2314yes—
224C2×#126C2314yescomplemented
225C2×#125C2314yescomplemented
226C2×#124C2314yes—
227C2×#124C2314yes—
228#525—216no—
229#525—48no—
230#525—48no—
231C2×#123C2314yes—
232C2×#123C2314yes—
233C2×#123C2314yes—
234C2×#123C2314yes—
235C2×#123C2314yes—
236C2×#123C2314yescomplemented
237C2×C22⋊Q8C2312yes—
238C2×C22⋊Q8C2312yes—
239C2×C22⋊Q8C2312yes—
240C2×C22⋊Q8C2312yes—
241C2×C22⋊Q8C2312yes—
242C2×C22⋊Q8C2312yes—
243C2×C22⋊Q8C2314yes—
244C2×C22⋊Q8C2314yescomplemented
245C2×#121C2312yes—
246C2×#121C2312yes—
247C2×#121C2312yes—
248C2×#121C2312yes—
249C2×#121C2312yes—
250C2×#121C2312yes—
251C2×#121C2314yes—
252C2×#121C2314yes—
253C2×#121C2314yes—
254C2×#120C2314yes—
255C2×#120C2314yes—
256C2×#120C2314yes—
257C2×#120C2314yes—
258C2×#120C2314yes—
259C2×#120C2314yes—
260C2×#120C2314yes—
261C2×C4×Q8C2314yescomplemented
262C2×C4×D4C2314yes—
263C2×C4×D4C2314yes—
264C2×C4×D4C2314yes—
265C2×C4×D4C2314yes—
266C2×C4×D4C2314yes—
267C2×C4×D4C2314yes—
268C2×C4×D4C2314yes—
269C2×C4×D4C2314yes—
270C2×C4×D4C2314yescomplemented
271C2×#117—48no—
272C2×#117C2314yes—
273C2×#117C2312yes—
274C2×#117C2314yes—
275C2×#117C2312yes—
276C2×#117C2312yes—
277C2×#117C2314yes—
278C2×#117C2314yes—
279C2×#117C2314yescomplemented
280C22×C4⋊C4C2312yes—
281C22×C4⋊C4C2312yes—
282C22×C22⋊C4C2312yes—
283C22×C22⋊C4C2312yes—
284C22×C22⋊C4C2312yes—
285C22×C22⋊C4C2312yes—
286C22×C22⋊C4C2312yes—
287C22×C22⋊C4C2312yes—
288C22×C42C2312yes—
289C22×C42C2312yes—
290C22×C42C2314yescomplemented
291#401C2314yescomplemented
292#400C2314yescomplemented
293#400C2314yescomplemented
294#400C2314yescomplemented
295#400C2314yescomplemented
296#400C2314yescomplemented
297#400C2314yescomplemented
298#400C2314yescomplemented
299#400C2314yescomplemented
300#400C2314yescomplemented
301#400C2314yescomplemented
302#400C2314yescomplemented
303#400C2314yescomplemented
304#399C2314yes—
305#399C2314yes—
306#399C2314yes—
307#399C2314yes—
308#399C2314yescomplemented
309#399C2314yescomplemented
310#399C2314yescomplemented
311#398C2314yescomplemented
312#398C2314yescomplemented
313#398C2314yescomplemented
314#398C2314yescomplemented
315#398C2314yescomplemented
316#398C2314yescomplemented
317#398C2314yescomplemented
318#398C2314yescomplemented
319#398C2314yescomplemented
320#398C2314yescomplemented
321#398C2314yescomplemented
322#398C2314yescomplemented
323#397C2314yes—
324#397C2314yes—
325#397C2314yes—
326#397C2314yes—
327#397C2314yes—
328#397C2314yes—
329#397C2314yes—
330#397C2314yes—
331#397C2314yes—
332#397C2314yes—
333#397C2314yes—
334#397C2314yes—
335#397C2314yescomplemented
336#397C2314yescomplemented
337#397C2314yescomplemented
338#397C2314yescomplemented
339#397C2314yescomplemented
340#397C2314yescomplemented
341#397C2314yescomplemented
342#396C2314yes—
343#396C2314yes—
344#396C2314yes—
345#396C2314yes—
346#396C2314yes—
347#396C2314yes—
348#396C2314yes—
349#396C2314yes—
350#396C2314yescomplemented
351#396C2314yescomplemented
352#396C2314yescomplemented
353#395C2314yescomplemented
354#395C2314yescomplemented
355#395C2314yescomplemented
356#395C2314yescomplemented
357#394C2314yes—
358#394C2314yes—
359#394C2314yes—
360#394C2314yes—
361#394C2314yes—
362#394C2314yes—
363#394C2314yes—
364#394C2314yes—
365#394C2314yes—
366#394C2314yes—
367#394C2314yes—
368#394C2314yes—
369#394C2314yes—
370#394C2314yes—
371#394C2314yes—
372#394C2314yes—
373#394C2314yescomplemented
374#394C2314yescomplemented
375#394C2314yescomplemented
376#393C2314yes—
377#393C2314yes—
378#393C2314yes—
379#393C2314yes—
380#393C2314yescomplemented
381#393C2314yescomplemented
382#392C2314yes—
383#392C2314yes—
384#392C2314yes—
385#392C2314yes—
386#392C2314yescomplemented
387#391C2314yescomplemented
388#391C2314yescomplemented
389#391C2314yescomplemented
390#391C2314yescomplemented
391#390C2314yes—
392#390C2314yes—
393#390C2314yes—
394#390C2314yes—
395#390C2314yes—
396#390C2314yes—
397#390C2314yes—
398#390C2314yes—
399#390C2314yescomplemented
400#389C2314yescomplemented
401#389C2314yescomplemented
402#389C2314yescomplemented
403#389C2314yescomplemented
404#389C2314yescomplemented
405#389C2314yescomplemented
406#389C2314yescomplemented
407#388C2314yes—
408#388C2314yes—
409#388C2314yes—
410#388C2314yes—
411#388C2314yes—
412#388C2314yes—
413#388C2314yes—
414#388C2314yes—
415#388C2314yes—
416#388C2314yes—
417#388C2314yes—
418#388C2314yes—
419#388C2314yes—
420#388C2314yes—
421#388C2314yes—
422#388C2314yes—
423#388C2314yes—
424#388C2314yes—
425#388C2314yes—
426#388C2314yes—
427#388C2314yes—
428#388C2314yes—
429#388C2314yes—
430#388C2314yes—
431#388C2314yescomplemented
432#388C2314yescomplemented
433#388C2314yescomplemented
434#388C2314yescomplemented
435#388C2314yescomplemented
436#388C2314yescomplemented
437#388C2314yescomplemented
438#388C2314yescomplemented
439#388C2314yescomplemented
440#388C2314yescomplemented
441#388C2314yescomplemented
442#387C2314yescomplemented
443#387C2314yescomplemented
444#387C2314yescomplemented
445#387C2314yescomplemented
446#387C2314yescomplemented
447#387C2314yescomplemented
448#387C2314yescomplemented
449#387C2314yescomplemented
450#387C2314yescomplemented
451#387C2314yescomplemented
452#387C2314yescomplemented
453#387C2314yescomplemented
454#387C2314yescomplemented
455#387C2314yescomplemented
456#387C2314yescomplemented
457#387C2314yescomplemented
458#387C2314yescomplemented
459#387C2314yescomplemented
460#387C2314yescomplemented
461#387C2314yescomplemented
462#387C2314yescomplemented
463#386C2314yes—
464#386C2314yes—
465#386C2314yes—
466#386C2314yes—
467#386C2314yes—
468#386C2314yes—
469#386C2314yes—
470#386C2314yes—
471#386C2314yes—
472#386C2314yes—
473#386C2314yes—
474#386C2314yes—
475#386C2314yes—
476#386C2314yes—
477#386C2314yes—
478#386C2314yes—
479#386C2314yes—
480#386C2314yes—
481#386C2314yes—
482#386C2314yes—
483#386C2314yes—
484#386C2314yes—
485#386C2314yes—
486#386C2314yes—
487#386C2314yescomplemented
488#386C2314yescomplemented
489#386C2314yescomplemented
490#385C2314yes—
491#385C2314yes—
492#385C2314yes—
493#385C2314yes—
494#385C2314yes—
495#385C2314yes—
496#385C2314yes—
497#385C2314yes—
498#385C2314yes—
499#385C2314yes—
500#385C2314yes—
501#385C2314yes—
502#385C2314yes—
503#385C2314yes—
504#385C2314yes—
505#385C2314yes—
506#385C2314yescomplemented
507#385C2314yescomplemented
508#385C2314yescomplemented
509#385C2314yescomplemented
510#385C2314yescomplemented
511#383C2314yescomplemented
512#382C2314yescomplemented
513#381C2314yes—
514#381C2314yes—
515#381C2314yes—
516#381C2314yes—
517#381C2314yes—
518#381C2314yes—
519#381C2314yes—
520#381C2314yescomplemented
521#380C2312yes—
522#380C2312yes—
523#380C2312yes—
524#380C2312yes—
525#380C2312yes—
526#380C2312yes—
527#380C2312yes—
528#380C2312yes—
529#380C2312yes—
530#380C2312yes—
531#380C2312yes—
532#380C2312yes—
533#380C2314yes—
534#380C2314yes—
535#380C2314yes—
536#380C2314yes—
537#380C2314yes—
538#380C2314yes—
539#380C2314yes—
540#380C2314yes—
541#380C2314yes—
542#380C2314yes—
543#380C2314yescomplemented
544#379C2314yes—
545#379C2314yes—
546#379C2314yes—
547#379C2314yes—
548#379C2314yes—
549#379C2314yes—
550#379C2314yes—
551#379C2314yes—
552#379C2314yes—
553#379C2314yes—
554#379C2314yes—
555C4×C4⋊C4C2314yescomplemented
556C4×C4⋊C4C2314yescomplemented
557C4×C4⋊C4C2314yescomplemented
558C4×C4⋊C4C2314yescomplemented
559C4×C4⋊C4C2314yescomplemented
560C4×C4⋊C4C2314yescomplemented
561C4×C4⋊C4C2314yescomplemented
562C4×C4⋊C4C2314yescomplemented
563C4×C22⋊C4C2314yes—
564C4×C22⋊C4C2314yes—
565C4×C22⋊C4C2314yes—
566C4×C22⋊C4C2314yes—
567C4×C22⋊C4C2314yes—
568C4×C22⋊C4C2314yes—
569C4×C22⋊C4C2314yes—
570C4×C22⋊C4C2314yes—
571C4×C22⋊C4C2314yes—
572C4×C22⋊C4C2314yes—
573C4×C22⋊C4C2314yes—
574C4×C22⋊C4C2314yes—
575C4×C22⋊C4C2314yes—
576C4×C22⋊C4C2314yes—
577C4×C22⋊C4C2314yes—
578C4×C22⋊C4C2314yes—
579C4×C22⋊C4C2314yescomplemented
580C4×C22⋊C4C2314yescomplemented
581C4×C22⋊C4C2314yescomplemented
582C4×C22⋊C4C2314yescomplemented
583C4×C22⋊C4C2314yescomplemented
584C4×C22⋊C4C2314yescomplemented
585#376C2314yescomplemented
586C2×#95C2311yescharacteristic
587C2×#95C2311yescharacteristic
588C2×#95C2311yescharacteristic
589C2×#95C2311yescharacteristic
590C2×#95C2312yes—
591C2×#95C2312yes—
592C43C2314yescomplemented
593C25—24no—
594C25—44no—
595C25—42no—
596C25—42no—
597C25—44no—
598C25C2411yescharacteristic
599C25C2411yescharacteristic
600C25C2412yes—
601C25C2412yes—
602C25C2411yescharacteristic
603C2×#41—28no—
604C2×#41—44no—
605C2×#41—44no—
606C22×Q8C2412yes—
607C22×Q8C2414yes—
608C22×D4C2414yes—
609C22×D4C2414yes—
610C22×D4C2414yes—
611C22×D4C2414yes—
612C22×D4C2414yes—
613C22×D4C2414yes—
614C22×D4C2414yes—
615C22×D4C2412yes—
616C22×D4C2414yes—
617C23×C4—24no—
618C23×C4—28no—
619C23×C4—24no—
620C23×C4—24no—
621C23×C4—28no—
622C23×C4—28no—
623C23×C4—28no—
624C23×C4—28no—
625C23×C4—24no—
626C23×C4—24no—
627C23×C4—28no—
628C23×C4—28no—
629C23×C4—44no—
630C23×C4—44no—
631C23×C4—44no—
632C23×C4—44no—
633C23×C4—44no—
634C23×C4—44no—
635C23×C4—44no—
636C23×C4—44no—
637C23×C4—44no—
638C23×C4—44no—
639C23×C4—44no—
640C23×C4—464no—
641C23×C4#4118yes—
642C23×C4C2411yescharacteristic
643C23×C4C2412yes—
644C23×C4C2414yes—
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647C23×C4C2412yes—
648C23×C4C2412yes—
649C23×C4C2412yes—
650C23×C4C2412yes—
651C23×C4C2412yes—
652C23×C4C2412yes—
653C23×C4C2412yes—
654C23×C4C2411yescharacteristic
655C23×C4C2412yes—
656C23×C4C2412yes—
657C23×C4C2412yes—
658C23×C4C2412yes—
659C23×C4C2412yes—
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2414yes—
664C23×C4C2414yes—
665C23×C4C2411yescharacteristic
666C23×C4C2412yes—
667#126—48no—
668#126—48no—
669#126—48no—
670#125—48no—
671#124—48no—
672#124—48no—
673#123—216no—
674#123—48no—
675#123—48no—
676#123—48no—
677#123—48no—
678#123—48no—
679C22⋊Q8—28no—
680C22⋊Q8—28no—
681C22⋊Q8—48no—
682C22⋊Q8—44no—
683C22⋊Q8—44no—
684C22⋊Q8—48no—
685C22⋊Q8—44no—
686C22⋊Q8—44no—
687#121—28no—
688#121—28no—
689#121—44no—
690#121—44no—
691#121—48no—
692#121—48no—
693#121—48no—
694#121—44no—
695#121—44no—
696#120—216no—
697#120—48no—
698#120—48no—
699#120—48no—
700#120—48no—
701#120—48no—
702#120—48no—
703C4×Q8—48no—
704C4×D4—216no—
705C4×D4—216no—
706C4×D4—216no—
707C4×D4—216no—
708C4×D4—48no—
709C4×D4—48no—
710C4×D4—48no—
711C4×D4—48no—
712C4×D4—48no—
713#117—28no—
714#117—216no—
715#117—48no—
716#117—44no—
717#117—44no—
718#117—48no—
719#117—48no—
720#117—48no—
721C2×C4⋊C4—44no—
722C2×C4⋊C4—44no—
723C2×C4⋊C4C2414yes—
724C2×C4⋊C4C2414yes—
725C2×C4⋊C4C2412yes—
726C2×C4⋊C4C2412yes—
727C2×C4⋊C4C2414yes—
728C2×C4⋊C4C2414yes—
729C2×C4⋊C4C2414yes—
730C2×C4⋊C4C2414yes—
731C2×C4⋊C4C2414yes—
732C2×C4⋊C4C2414yes—
733C2×C4⋊C4C2412yes—
734C2×C4⋊C4C2412yes—
735C2×C4⋊C4C2412yes—
736C2×C4⋊C4C2412yes—
737C2×C4⋊C4C2414yes—
738C2×C4⋊C4C2414yes—
739C2×C4⋊C4C2414yes—
740C2×C4⋊C4C2414yes—
741C2×C4⋊C4C2414yes—
742C2×C4⋊C4C2414yes—
743C2×C4⋊C4C2414yes—
744C2×C4⋊C4C2414yes—
745C2×C4⋊C4C2414yes—
746C2×C4⋊C4C2414yes—
747C2×C4⋊C4C2414yes—
748C2×C4⋊C4C2414yes—
749C2×C4⋊C4C2414yes—
750C2×C4⋊C4C2414yes—
751C2×C4⋊C4C2414yes—
752C2×C4⋊C4C2414yes—
753C2×C4⋊C4C2414yes—
754C2×C4⋊C4C2414yes—
755C2×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C22⋊C4—44no—
758C2×C22⋊C4—44no—
759C2×C22⋊C4—44no—
760C2×C22⋊C4—44no—
761C2×C22⋊C4—44no—
762C2×C22⋊C4—44no—
763C2×C22⋊C4C2414yes—
764C2×C22⋊C4C2414yes—
765C2×C22⋊C4C2414yes—
766C2×C22⋊C4C2414yes—
767C2×C22⋊C4C2414yes—
768C2×C22⋊C4C2414yes—
769C2×C22⋊C4C2414yes—
770C2×C22⋊C4C2414yes—
771C2×C22⋊C4C2414yes—
772C2×C22⋊C4C2414yes—
773C2×C22⋊C4C2414yes—
774C2×C22⋊C4C2414yes—
775C2×C22⋊C4C2414yes—
776C2×C22⋊C4C2414yes—
777C2×C22⋊C4C2414yes—
778C2×C22⋊C4C2414yes—
779C2×C22⋊C4C2414yes—
780C2×C22⋊C4C2414yes—
781C2×C22⋊C4C2414yes—
782C2×C22⋊C4C2414yes—
783C2×C22⋊C4C2414yes—
784C2×C22⋊C4C2414yes—
785C2×C22⋊C4C2414yes—
786C2×C22⋊C4C2414yes—
787C2×C22⋊C4C2414yes—
788C2×C22⋊C4C2414yes—
789C2×C22⋊C4C2414yes—
790C2×C22⋊C4C2414yes—
791C2×C22⋊C4C2414yes—
792C2×C22⋊C4C2414yes—
793C2×C22⋊C4C2414yes—
794C2×C22⋊C4C2414yes—
795C2×C22⋊C4C2414yes—
796C2×C22⋊C4C2414yes—
797C2×C22⋊C4C2414yes—
798C2×C22⋊C4C2414yes—
799C2×C22⋊C4C2414yes—
800C2×C22⋊C4C2414yes—
801C2×C22⋊C4C2414yes—
802C2×C22⋊C4C2414yes—
803C2×C22⋊C4C2414yes—
804C2×C22⋊C4C2414yes—
805C2×C22⋊C4C2414yes—
806C2×C22⋊C4C2414yes—
807C2×C22⋊C4C2414yes—
808C2×C22⋊C4C2414yes—
809C2×C22⋊C4C2414yes—
810C2×C22⋊C4C2414yes—
811C2×C22⋊C4C2414yes—
812C2×C22⋊C4C2414yes—
813C2×C22⋊C4C2414yes—
814C2×C42—44no—
815C2×C42—44no—
816C2×C42—48no—
817C2×C42C2414yes—
818C2×C42C2414yes—
819C2×C42C2414yes—
820C2×C42C2414yes—
821C2×C42C2414yes—
822C2×C42C2414yes—
823C2×C42C2414yes—
824C2×C42C2414yes—
825C2×C42C2414yes—
826C2×C42C2414yes—
827C2×C42C2414yes—
828C2×C42C2414yes—
829C2×C42C2414yes—
830#95C2414yes—
831#95C2414yes—
832#95C2414yes—
833#95C2414yes—
834#95C2414yes—
835#95C2414yes—
836#95C2414yes—
837#95C2414yes—
838#95C2414yes—
839#95C2414yes—
840#95C2414yes—
841#95C2414yes—
842#95C2414yes—
843#95C2414yes—
844#95C2414yes—
845#95C2414yes—
846#95C2414yes—
847#95C2414yes—
848#95C2414yes—
849#95C2414yes—
850#95C2414yes—
851#95C2414yes—
852#95C2414yes—
853#95C2414yes—
854#95C2414yes—
855#95C2414yes—
856#95C2414yes—
857#95C2414yes—
858#95C2414yes—
859#95C2414yes—
860#95C2414yes—
861#95C2414yes—
862#95C2414yes—
863#95C2414yes—
864#95C2414yes—
865#95C2414yes—
866#95C2414yes—
867#95C2414yes—
868#95C2414yes—
869#95C2414yes—
870#95C2414yes—
871#95C2414yes—
872#95C2414yes—
873#95C2414yes—
874C24—22no—
875C24—22no—
876C24—24no—
877C24—22no—
878C24—22no—
879C24—24no—
880C24—24no—
881C24—24no—
882C24—24no—
883C24—24no—
884C24—24no—
885C24—24no—
886C24—24no—
887C24—24no—
888C24—42no—
889C24—42no—
890C24—42no—
891C24—42no—
892C24—41no—
893C24—41no—
894C24—41no—
895C24—41no—
896C24—42no—
897C24—42no—
898C24—42no—
899C24—42no—
900C24—42no—
901C24—42no—
902C24—416no—
903C24—416no—
904C24—416no—
905C24—432no—
906C24—432no—
907C24C2×#4114yes—
908C24C2514yes—
909C24C2512yes—
910C24C2512yes—
911C24C2511yescharacteristic
912C24C2511yescharacteristic
913C24C2511yescharacteristic
914#41—816no—
915C2×Q8—24no—
916C2×Q8—44no—
917C2×Q8—42no—
918C2×Q8—42no—
919C2×Q8—44no—
920C2×Q8—44no—
921C2×D4—28no—
922C2×D4—28no—
923C2×D4—28no—
924C2×D4—28no—
925C2×D4—28no—
926C2×D4—28no—
927C2×D4—28no—
928C2×D4—28no—
929C2×D4—28no—
930C2×D4—24no—
931C2×D4—44no—
932C2×D4—44no—
933C2×D4—44no—
934C2×D4—44no—
935C2×D4—44no—
936C2×D4—44no—
937C2×D4—44no—
938C2×D4—44no—
939C2×D4—44no—
940C2×D4—44no—
941C2×D4—44no—
942C2×D4—44no—
943C2×D4—44no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—44no—
947C2×D4—44no—
948C22×C4—232no—
949C22×C4—22no—
950C22×C4—24no—
951C22×C4—24no—
952C22×C4—24no—
953C22×C4—24no—
954C22×C4—24no—
955C22×C4—24no—
956C22×C4—24no—
957C22×C4—24no—
958C22×C4—24no—
959C22×C4—24no—
960C22×C4—24no—
961C22×C4—22no—
962C22×C4—24no—
963C22×C4—24no—
964C22×C4—24no—
965C22×C4—24no—
966C22×C4—24no—
967C22×C4—24no—
968C22×C4—28no—
969C22×C4—24no—
970C22×C4—24no—
971C22×C4—24no—
972C22×C4—24no—
973C22×C4—22no—
974C22×C4—22no—
975C22×C4—22no—
976C22×C4—22no—
977C22×C4—28no—
978C22×C4—28no—
979C22×C4—24no—
980C22×C4—24no—
981C22×C4—24no—
982C22×C4—24no—
983C22×C4—24no—
984C22×C4—24no—
985C22×C4—416no—
986C22×C4—42no—
987C22×C4—42no—
988C22×C4—42no—
989C22×C4—42no—
990C22×C4—42no—
991C22×C4—42no—
992C22×C4—42no—
993C22×C4—42no—
994C22×C4—42no—
995C22×C4—42no—
996C22×C4—42no—
997C22×C4—42no—
998C22×C4—432no—
999C22×C4—432no—
1000C22×C4—42no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—44no—
1005C22×C4—44no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—44no—
1011C22×C4—44no—
1012C22×C4—44no—
1013C22×C4—44no—
1014C22×C4—416no—
1015C22×C4—432no—
1016C22×C4—432no—
1017C22×C4—416no—
1018C22×C4—416no—
1019C22×C4—416no—
1020C22×C4C2×#4118yes—
1021C22×C4C2×#4114yes—
1022C22×C4C2×#4114yes—
1023C22×C4C2×#4118yes—
1024C22×C4H(5,𝔽2)18yes—
1025C22×C4C2511yescharacteristic
1026C22×C4C2511yescharacteristic
1027C22×C4C2514yes—
1028C22×C4C2514yes—
1029C22×C4C2514yes—
1030C22×C4C2514yes—
1031C22×C4C2514yes—
1032C22×C4C2514yes—
1033C22×C4C2514yes—
1034C22×C4C2514yes—
1035C22×C4C2514yes—
1036C22×C4C2514yes—
1037C22×C4C2514yes—
1038C22×C4C2512yes—
1039C22×C4C2511yescharacteristic
1040C22×C4C2512yes—
1041C22×C4C2511yescharacteristic
1042C4⋊C4—24no—
1043C4⋊C4—24no—
1044C4⋊C4—28no—
1045C4⋊C4—28no—
1046C4⋊C4—28no—
1047C4⋊C4—28no—
1048C4⋊C4—28no—
1049C4⋊C4—28no—
1050C4⋊C4—44no—
1051C4⋊C4—44no—
1052C4⋊C4—42no—
1053C4⋊C4—42no—
1054C4⋊C4—42no—
1055C4⋊C4—42no—
1056C4⋊C4—44no—
1057C4⋊C4—44no—
1058C4⋊C4—44no—
1059C4⋊C4—44no—
1060C4⋊C4—44no—
1061C4⋊C4—44no—
1062C4⋊C4—44no—
1063C4⋊C4—44no—
1064C4⋊C4—44no—
1065C4⋊C4—44no—
1066C4⋊C4—44no—
1067C4⋊C4—44no—
1068C4⋊C4—44no—
1069C4⋊C4—44no—
1070C4⋊C4—44no—
1071C4⋊C4—44no—
1072C4⋊C4—44no—
1073C4⋊C4—44no—
1074C4⋊C4—44no—
1075C4⋊C4—44no—
1076C22⋊C4—28no—
1077C22⋊C4—28no—
1078C22⋊C4—28no—
1079C22⋊C4—28no—
1080C22⋊C4—28no—
1081C22⋊C4—28no—
1082C22⋊C4—28no—
1083C22⋊C4—28no—
1084C22⋊C4—28no—
1085C22⋊C4—28no—
1086C22⋊C4—28no—
1087C22⋊C4—28no—
1088C22⋊C4—28no—
1089C22⋊C4—28no—
1090C22⋊C4—28no—
1091C22⋊C4—28no—
1092C22⋊C4—28no—
1093C22⋊C4—44no—
1094C22⋊C4—44no—
1095C22⋊C4—44no—
1096C22⋊C4—44no—
1097C22⋊C4—44no—
1098C22⋊C4—44no—
1099C22⋊C4—44no—
1100C22⋊C4—44no—
1101C22⋊C4—44no—
1102C22⋊C4—44no—
1103C22⋊C4—44no—
1104C22⋊C4—44no—
1105C22⋊C4—44no—
1106C22⋊C4—44no—
1107C22⋊C4—44no—
1108C22⋊C4—44no—
1109C22⋊C4—44no—
1110C22⋊C4—44no—
1111C22⋊C4—44no—
1112C22⋊C4—44no—
1113C22⋊C4—44no—
1114C22⋊C4—44no—
1115C22⋊C4—44no—
1116C22⋊C4—44no—
1117C22⋊C4—44no—
1118C22⋊C4—44no—
1119C22⋊C4—44no—
1120C22⋊C4—44no—
1121C22⋊C4—44no—
1122C22⋊C4—44no—
1123C22⋊C4—44no—
1124C22⋊C4—44no—
1125C22⋊C4—44no—
1126C22⋊C4—44no—
1127C42—28no—
1128C42—28no—
1129C42—28no—
1130C42—28no—
1131C42—28no—
1132C42—44no—
1133C42—44no—
1134C42—44no—
1135C42—44no—
1136C42—44no—
1137C42—44no—
1138C42—44no—
1139C42—44no—
1140C23—22no—
1141C23—21no—
1142C23—21no—
1143C23—28no—
1144C23—28no—
1145C23—22no—
1146C23—21no—
1147C23—21no—
1148C23—22no—
1149C23—22no—
1150C23—22no—
1151C23—22no—
1152C23—22no—
1153C23—21no—
1154C23—21no—
1155C23—22no—
1156C23—22no—
1157C23—22no—
1158C23—22no—
1159C23—22no—
1160C23—22no—
1161C23—22no—
1162C23—22no—
1163C23—22no—
1164C23—22no—
1165C23—28no—
1166C23—24no—
1167C23—24no—
1168C23—24no—
1169C23—24no—
1170C23—24no—
1171C23—24no—
1172C23—24no—
1173C23—44no—
1174C23—44no—
1175C23—48no—
1176C23—48no—
1177C23—48no—
1178C23—48no—
1179C23—48no—
1180C23—48no—
1181C23—48no—
1182C23—48no—
1183C23—48no—
1184C23—48no—
1185C23—44no—
1186C23—48no—
1187C23—48no—
1188C23—44no—
1189C23—48no—
1190C23—48no—
1191C23—48no—
1192C23—48no—
1193C23—48no—
1194C23—48no—
1195C23—4128no—
1196C23—48no—
1197C23—48no—
1198C23—44no—
1199C23—44no—
1200C23C22×#4114yes—
1201C23C22×#4112yes—
1202C23C2×H(5,𝔽2)14yes—
1203C23#58512yes—
1204C23#58512yes—
1205C23#58514yes—
1206C23C2611yescharacteristic
1207Q8—84no—
1208Q8—88no—
1209D4—416no—
1210D4—84no—
1211D4—88no—
1212D4—88no—
1213D4—88no—
1214D4—88no—
1215D4—88no—
1216D4—88no—
1217D4—88no—
1218C2×C4—216no—
1219C2×C4—28no—
1220C2×C4—22no—
1221C2×C4—22no—
1222C2×C4—22no—
1223C2×C4—22no—
1224C2×C4—22no—
1225C2×C4—28no—
1226C2×C4—216no—
1227C2×C4—216no—
1228C2×C4—24no—
1229C2×C4—24no—
1230C2×C4—24no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—24no—
1234C2×C4—24no—
1235C2×C4—24no—
1236C2×C4—24no—
1237C2×C4—24no—
1238C2×C4—24no—
1239C2×C4—24no—
1240C2×C4—24no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—22no—
1244C2×C4—22no—
1245C2×C4—24no—
1246C2×C4—24no—
1247C2×C4—24no—
1248C2×C4—24no—
1249C2×C4—24no—
1250C2×C4—24no—
1251C2×C4—24no—
1252C2×C4—24no—
1253C2×C4—24no—
1254C2×C4—24no—
1255C2×C4—24no—
1256C2×C4—24no—
1257C2×C4—24no—
1258C2×C4—24no—
1259C2×C4—24no—
1260C2×C4—24no—
1261C2×C4—24no—
1262C2×C4—24no—
1263C2×C4—24no—
1264C2×C4—24no—
1265C2×C4—48no—
1266C2×C4—44no—
1267C2×C4—48no—
1268C2×C4—48no—
1269C2×C4—48no—
1270C2×C4—48no—
1271C2×C4—48no—
1272C2×C4—48no—
1273C2×C4—44no—
1274C2×C4—44no—
1275C2×C4—44no—
1276C2×C4—44no—
1277C2×C4—44no—
1278C2×C4—416no—
1279C2×C4—84no—
1280C2×C4—84no—
1281C2×C4—84no—
1282C2×C4—84no—
1283C2×C4—88no—
1284C2×C4—88no—
1285C2×C4C22×#4112yes—
1286C2×C4C22×#4114yes—
1287C2×C4C22×#4112yes—
1288C2×C4C2×H(5,𝔽2)14yes—
1289C2×C4C2×H(5,𝔽2)14yes—
1290C22—24no—
1291C22—24no—
1292C22—22no—
1293C22—22no—
1294C22—24no—
1295C22—24no—
1296C22—24no—
1297C22—24no—
1298C22—24no—
1299C22—24no—
1300C22—24no—
1301C22—22no—
1302C22—22no—
1303C22—24no—
1304C22—416no—
1305C22—416no—
1306C22—416no—
1307C22—432no—
1308C22—432no—
1309C22—42no—
1310C22—42no—
1311C22—42no—
1312C22—42no—
1313C22—42no—
1314C22—42no—
1315C22—42no—
1316C22—42no—
1317C22—41no—
1318C22—41no—
1319C22—42no—
1320C22—42no—
1321C22—41no—
1322C22—41no—
1323C22—44no—
1324C22—44no—
1325C22—44no—
1326C22—44no—
1327C22—44no—
1328C22—44no—
1329C22—44no—
1330C22#345514yes—
1331C22C23×#4111yescharacteristic
1332C22C22×H(5,𝔽2)12yes—
1333C22C2×#58511yescharacteristic
1334C22C2×#58511yescharacteristic
1335C22C2×#58512yes—
1336C4—22no—
1337C4—24no—
1338C4—24no—
1339C4—44no—
1340C4—44no—
1341C4—44no—
1342C4—44no—
1343C4—44no—
1344C4—44no—
1345C4—44no—
1346C4—44no—
1347C4—41no—
1348C4—41no—
1349C4—44no—
1350C4—44no—
1351C4—44no—
1352C4#349014yes—
1353C2—24no—
1354C2—44no—
1355C2—42no—
1356C2—42no—
1357C2—44no—
1358C2—84no—
1359C2C2×#345511yescharacteristic
1360C2#6272912yes—
1361C2#6272912yes—
1362C2C2×#349011yescharacteristic
1363C2#6281411yescharacteristic
subgroupG/H
centerC22×C4C25
commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52185C2semidirect
2. #52178C2semidirect
3. #52129C2semidirect
4. #52117C2semidirect
5. #36736C2semidirect
6. #36735C2semidirect
7. #36734C2semidirect
8. #36733C2semidirect
9. #36732C2semidirect
10. #36731C2semidirect
11. #36730C2semidirect
12. #36729C2semidirect
13. #36728C2semidirect
14. #36727C2semidirect
15. #36726C2semidirect
16. #36725C2semidirect
17. #36614C2semidirect
18. #34959C2semidirect
19. #34740C2semidirect
20. #34578C2semidirect
21. #34575C2semidirect
22. #34082C2semidirect
23. C2×#2280C2semidirect
25. C2×#529C22semidirect
42. #2748C22semidirect
43. #2747C22semidirect
44. #2747C22semidirect
45. #2746C22semidirect
46. #2746C22semidirect
47. #2745C22semidirect
48. #2745C22semidirect
49. #2744C22semidirect
50. #2744C22semidirect
51. #2743C22semidirect
52. #2743C22semidirect
53. #2742C22semidirect
54. #2741C22semidirect
55. #2741C22semidirect
56. #2740C22semidirect
57. #2740C22semidirect
58. #2739C22semidirect
59. #2739C22semidirect
60. #2738C22semidirect
61. #2738C22semidirect
62. #2737C22semidirect
63. #2737C22semidirect
68. #2722C22semidirect
69. #2717C22semidirect
70. #2707C22semidirect
71. #2706C22semidirect
72. #2705C22semidirect
73. #2704C22semidirect
74. #2703C22semidirect
75. #2702C22semidirect
76. #2701C22semidirect
77. #2700C22semidirect
78. #2699C22semidirect
79. #2698C22semidirect
82. #2696C22semidirect
83. #2695C22semidirect
84. #2694C22semidirect
85. #2693C22semidirect
86. #2692C22semidirect
87. #2691C22semidirect
88. #2690C22semidirect
89. #2689C22semidirect
90. #2688C22semidirect
91. #2687C22semidirect
92. #2687C22semidirect
93. #2686C22semidirect
102. #2672C22semidirect
103. #2671C22semidirect
106. #2667C22semidirect
107. #2665C22semidirect
108. #2663C22semidirect
109. #2661C22semidirect
110. #2659C22semidirect
111. #2659C22semidirect
112. #2656C22semidirect
113. #2646C22semidirect
114. #2646C22semidirect
115. #2639C22semidirect
118. #2597C22semidirect
119. #2595C22semidirect
120. #2589C22semidirect
121. #2587C22semidirect
122. #2578C22semidirect
123. #2576C22semidirect
124. #2559C22semidirect
125. #2557C22semidirect
126. #2510C22semidirect
127. #2505C22semidirect
128. #2481C22semidirect
131. #2479C22semidirect
132. #2478C22semidirect
133. #2477C22semidirect
134. #2476C22semidirect
135. #2475C22semidirect
136. #2474C22semidirect
137. #2473C22semidirect
140. #2471C22semidirect
141. #2470C22semidirect
142. #2450C22semidirect
143. #2449C22semidirect
144. #2444C22semidirect
145. #2443C22semidirect
150. #2401C22semidirect
151. #2398C22semidirect
152. #2396C22semidirect
153. #2396C22semidirect
154. #2396C22semidirect
155. #2395C22semidirect
156. #2395C22semidirect
157. #2395C22semidirect
158. #2395C22semidirect
159. #2392C22semidirect
160. #2392C22semidirect
161. #2388C22semidirect
162. #2335C22semidirect
163. #2335C22semidirect
164. #2333C22semidirect
165. #2332C22semidirect
166. #2329C22semidirect
167. #2329C22semidirect
168. #2325C22semidirect
169. #2325C22semidirect
172. C4×#126C22semidirect
173. C4×#124C22semidirect
174. C4×C22⋊Q8C22semidirect
175. C4×#123C22semidirect
176. C4×#121C22semidirect
177. C4×#121C22semidirect
182. #2298C22semidirect
183. #2298C22semidirect
184. #2297C22semidirect
185. #2293C22semidirect
186. #2293C22semidirect
187. #2290C22semidirect
188. #2290C22semidirect
189. #2290C22semidirect
203. C42×D4C22semidirect
224. C2×#126C23semidirect
225. C2×#125C23semidirect
236. C2×#123C23semidirect
244. C2×C22⋊Q8C23semidirect
261. C2×C4×Q8C23semidirect
270. C2×C4×D4C23semidirect
279. C2×#117C23semidirect
290. C22×C42C23semidirect
291. #401C23semidirect
292. #400C23semidirect
293. #400C23semidirect
294. #400C23semidirect
295. #400C23semidirect
296. #400C23semidirect
297. #400C23semidirect
298. #400C23semidirect
299. #400C23semidirect
300. #400C23semidirect
301. #400C23semidirect
302. #400C23semidirect
303. #400C23semidirect
308. #399C23semidirect
309. #399C23semidirect
310. #399C23semidirect
311. #398C23semidirect
312. #398C23semidirect
313. #398C23semidirect
314. #398C23semidirect
315. #398C23semidirect
316. #398C23semidirect
317. #398C23semidirect
318. #398C23semidirect
319. #398C23semidirect
320. #398C23semidirect
321. #398C23semidirect
322. #398C23semidirect
335. #397C23semidirect
336. #397C23semidirect
337. #397C23semidirect
338. #397C23semidirect
339. #397C23semidirect
340. #397C23semidirect
341. #397C23semidirect
350. #396C23semidirect
351. #396C23semidirect
352. #396C23semidirect
353. #395C23semidirect
354. #395C23semidirect
355. #395C23semidirect
356. #395C23semidirect
373. #394C23semidirect
374. #394C23semidirect
375. #394C23semidirect
380. #393C23semidirect
381. #393C23semidirect
386. #392C23semidirect
387. #391C23semidirect
388. #391C23semidirect
389. #391C23semidirect
390. #391C23semidirect
399. #390C23semidirect
400. #389C23semidirect
401. #389C23semidirect
402. #389C23semidirect
403. #389C23semidirect
404. #389C23semidirect
405. #389C23semidirect
406. #389C23semidirect
431. #388C23semidirect
432. #388C23semidirect
433. #388C23semidirect
434. #388C23semidirect
435. #388C23semidirect
436. #388C23semidirect
437. #388C23semidirect
438. #388C23semidirect
439. #388C23semidirect
440. #388C23semidirect
441. #388C23semidirect
442. #387C23semidirect
443. #387C23semidirect
444. #387C23semidirect
445. #387C23semidirect
446. #387C23semidirect
447. #387C23semidirect
448. #387C23semidirect
449. #387C23semidirect
450. #387C23semidirect
451. #387C23semidirect
452. #387C23semidirect
453. #387C23semidirect
454. #387C23semidirect
455. #387C23semidirect
456. #387C23semidirect
457. #387C23semidirect
458. #387C23semidirect
459. #387C23semidirect
460. #387C23semidirect
461. #387C23semidirect
462. #387C23semidirect
487. #386C23semidirect
488. #386C23semidirect
489. #386C23semidirect
506. #385C23semidirect
507. #385C23semidirect
508. #385C23semidirect
509. #385C23semidirect
510. #385C23semidirect
511. #383C23semidirect
512. #382C23semidirect
520. #381C23semidirect
543. #380C23semidirect
555. C4×C4⋊C4C23semidirect
556. C4×C4⋊C4C23semidirect
557. C4×C4⋊C4C23semidirect
558. C4×C4⋊C4C23semidirect
559. C4×C4⋊C4C23semidirect
560. C4×C4⋊C4C23semidirect
561. C4×C4⋊C4C23semidirect
562. C4×C4⋊C4C23semidirect
579. C4×C22⋊C4C23semidirect
580. C4×C22⋊C4C23semidirect
581. C4×C22⋊C4C23semidirect
582. C4×C22⋊C4C23semidirect
583. C4×C22⋊C4C23semidirect
584. C4×C22⋊C4C23semidirect
585. #376C23semidirect
592. C43C23semidirect

Maximal subgroups

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

subgroupindex
#521852
#521782
#521292
#521172
#367362
#367352
#367342
#367332
#367322
#367312
#367302
#367292
#367282
#367272
#367262
#367252
#366142
#349592
#347402
#345782
#345752
#340822
C2×#22802