Finite Group Databasebeta

← #8108286

Subgroups — #8108286

Order 512.

6598 conjugacy classes of subgroups.

The subgroup lattice has 1448 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59384C214yesmaximal, complemented
2#53164C214yesmaximal, complemented
3#53163C214yesmaximal, complemented
4#45506C214yesmaximal, complemented
5#45476C214yesmaximal, complemented
6#45438C214yesmaximal, complemented
7#38013C214yesmaximal, complemented
8#37940C212yesmaximal, complemented
9#37932C212yesmaximal, complemented
10#37908C214yesmaximal, complemented
11#37826C214yesmaximal, complemented
12#37769C212yesmaximal, complemented
13#37761C212yesmaximal, complemented
14#37722C214yesmaximal, complemented
15#36734C214yesmaximal, complemented
16#36728C211yesmaximal, characteristic, complemented
17#36727C211yesmaximal, characteristic, complemented
18#36713C214yesmaximal, complemented
19#36706C212yesmaximal, complemented
20#36614C212yesmaximal, complemented
21C2×#2847C211yesmaximal, characteristic, complemented
22C25×C4C2211yescharacteristic
23C2×#560C2214yescomplemented
24C2×#540C2214yescomplemented
25C2×#538C2212yescomplemented
26C2×#525C2212yes—
27C2×#525C2212yescomplemented
28C2×#525C2212yescomplemented
29C22×#121C2212yes—
30C22×#121C2211yescharacteristic
31C22×#120C2212yes—
32#2849C2214yes—
33#2849C2214yescomplemented
34#2849C2214yescomplemented
35#2848C2212yes—
36#2848C2212yes—
37#2848C2212yescomplemented
38#2848C2212yescomplemented
39#2847C2214yes—
40#2847C2214yes—
41#2847C2214yes—
42#2847C2214yes—
43#2847C2212yes—
44#2847C2212yes—
45#2847C2212yescomplemented
46#2847C2212yescomplemented
47#2846C2214yes—
48#2812C2214yescomplemented
49#2812C2214yescomplemented
50#2787C2214yescomplemented
51#2781C2214yescomplemented
52#2780C2214yescomplemented
53#2778C2214yescomplemented
54#2778C2214yescomplemented
55#2753C2214yescomplemented
56#2750C2214yescomplemented
57#2748C2214yescomplemented
58#2747C2214yescomplemented
59#2746C2214yescomplemented
60#2746C2214yescomplemented
61#2744C2214yescomplemented
62#2743C2214yescomplemented
63#2741C2214yescomplemented
64#2730C2214yescomplemented
65#2723C2214yescomplemented
66#2722C2214yescomplemented
67#2711C2214yescomplemented
68#2708C2214yescomplemented
69#2708C2214yescomplemented
70#2706C2214yescomplemented
71#2705C2214yescomplemented
72#2704C2214yescomplemented
73#2703C2214yescomplemented
74#2701C2214yescomplemented
75#2699C2214yescomplemented
76#2697C2214yescomplemented
77#2695C2214yescomplemented
78#2695C2214yescomplemented
79#2694C2214yescomplemented
80#2693C2214yescomplemented
81#2691C2214yescomplemented
82#2691C2214yescomplemented
83#2690C2214yescomplemented
84#2688C2214yescomplemented
85#2688C2214yescomplemented
86#2688C2214yescomplemented
87#2687C2214yescomplemented
88#2685C2214yescomplemented
89#2685C2214yescomplemented
90#2678C2214yescomplemented
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2676C2214yescomplemented
95#2676C2214yescomplemented
96#2675C2214yescomplemented
97#2675C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2672C2214yescomplemented
103#2671C2214yescomplemented
104#2671C2214yescomplemented
105#2671C2214yescomplemented
106#2671C2214yescomplemented
107#2671C2214yescomplemented
108#2671C2214yescomplemented
109#2669C2214yescomplemented
110#2669C2214yescomplemented
111#2669C2214yescomplemented
112#2668C2214yescomplemented
113#2668C2214yescomplemented
114#2667C2214yescomplemented
115#2661C2214yescomplemented
116#2659C2211yescharacteristic, complemented
117#2656C2211yescharacteristic, complemented
118#2646C2211yescharacteristic, complemented
119#2646C2211yescharacteristic, complemented
120#2635C2214yescomplemented
121#2630C2214yescomplemented
122#2626C2212yescomplemented
123#2617C2212yescomplemented
124#2609C2214yescomplemented
125#2602C2214yescomplemented
126#2598C2214yescomplemented
127#2598C2214yescomplemented
128#2595C2214yescomplemented
129#2579C2214yescomplemented
130#2578C2214yescomplemented
131#2577C2214yescomplemented
132#2576C2214yescomplemented
133#2559C2214yescomplemented
134#2559C2214yescomplemented
135#2553C2214yescomplemented
136#2553C2214yescomplemented
137#2543C2214yescomplemented
138#2535C2214yescomplemented
139#2518C2214yescomplemented
140#2510C2214yescomplemented
141#2505C2214yescomplemented
142#2480C2214yes—
143#2480C2214yes—
144#2479C2214yescomplemented
145#2477C2214yescomplemented
146#2476C2214yescomplemented
147#2476C2214yescomplemented
148#2473C2214yescomplemented
149#2471C2214yescomplemented
150#2470C2214yescomplemented
151#2467C2214yescomplemented
152#2464C2214yescomplemented
153#2464C2214yescomplemented
154#2464C2214yescomplemented
155#2461C2214yescomplemented
156#2460C2214yescomplemented
157#2456C2214yescomplemented
158#2443C2214yescomplemented
159#2433C2214yes—
160#2431C2214yescomplemented
161#2430C2214yescomplemented
162#2428C2214yescomplemented
163#2428C2214yescomplemented
164#2425C2214yescomplemented
165#2425C2214yescomplemented
166#2424C2214yes—
167#2424C2214yes—
168#2424C2214yescomplemented
169#2418C2214yes—
170#2418C2214yes—
171#2418C2214yescomplemented
172#2410C2214yes—
173#2410C2214yes—
174#2410C2214yescomplemented
175#2408C2214yes—
176#2408C2214yes—
177#2405C2214yes—
178#2375C2214yescomplemented
179#2364C2214yescomplemented
180#2364C2214yescomplemented
181#2363C2214yescomplemented
182#2358C2214yescomplemented
183#2349C2214yescomplemented
184#2342C2214yescomplemented
185#2335C2214yescomplemented
186#2333C2214yescomplemented
187#2329C2212yescomplemented
188#2325C2212yescomplemented
189#2318C2214yescomplemented
190#2315C2212yescomplemented
191C4×#120C2214yes—
192C4×#120C2214yes—
193C4×#120C2214yescomplemented
194C4×#120C2214yescomplemented
195C2×#386C2212yes—
196C2×#386C2212yes—
197C2×#386C2212yes—
198#2280C2212yes—
199#2280C2212yescomplemented
200#2280C2212yescomplemented
201C2×#380C2212yes—
202C2×#380C2211yescharacteristic
203C26C2311yescharacteristic
204C22×#41C2312yes—
205C23×D4C2312yes—
206C23×D4C2312yes—
207C23×D4C2312yes—
208C23×D4C2311yescharacteristic
209C24×C4—44no—
210C24×C4—48no—
211C24×C4C2311yescharacteristic
212C24×C4C2312yes—
213C24×C4C2312yes—
214C24×C4C2312yes—
215C24×C4C2312yes—
216C24×C4C2312yes—
217C24×C4C2312yes—
218C24×C4C2311yescharacteristic
219#560—416no—
220#540—416no—
221#538—48no—
222C2×#127C2314yes—
223C2×#127C2314yes—
224C2×#126C2314yes—
225C2×#126C2314yes—
226C2×#126C2314yescomplemented
227C2×#125C2314yescomplemented
228C2×#124C2314yescomplemented
229#525—48no—
230#525—48no—
231#525—48no—
232C2×#123C2314yes—
233C2×#123C2314yes—
234C2×#123C2314yes—
235C2×#123C2314yes—
236C2×#123C2314yes—
237C2×#123C2314yes—
238C2×#123C2314yes—
239C2×#123C2314yescomplemented
240C2×#123C2314yescomplemented
241C2×#123C2314yescomplemented
242C2×C22⋊Q8C2312yes—
243C2×C22⋊Q8C2312yes—
244C2×C22⋊Q8C2312yes—
245C2×C22⋊Q8C2312yes—
246C2×C22⋊Q8C2312yes—
247C2×C22⋊Q8C2312yes—
248C2×#121—44no—
249C2×#121—48no—
250C2×#121C2312yes—
251C2×#121C2314yes—
252C2×#121C2314yes—
253C2×#121C2314yes—
254C2×#121C2314yes—
255C2×#121C2314yes—
256C2×#121C2314yes—
257C2×#121C2312yes—
258C2×#121C2312yes—
259C2×#121C2312yes—
260C2×#121C2312yes—
261C2×#121C2312yes—
262C2×#121C2314yes—
263C2×#121C2314yes—
264C2×#121C2314yes—
265C2×#121C2314yes—
266C2×#121C2314yes—
267C2×#121C2314yes—
268C2×#121C2314yes—
269C2×#121C2314yes—
270C2×#121C2314yes—
271C2×#121C2314yes—
272C2×#121C2314yes—
273C2×#121C2314yescomplemented
274C2×#121C2314yescomplemented
275C2×#121C2314yescomplemented
276C2×#121C2314yescomplemented
277C2×#120—48no—
278C2×#120C2314yes—
279C2×#120C2314yes—
280C2×#120C2314yes—
281C2×#120C2314yes—
282C2×#120C2314yes—
283C2×#120C2314yes—
284C2×#120C2314yes—
285C2×#120C2314yes—
286C2×#120C2314yes—
287C2×#120C2314yes—
288C2×#120C2314yes—
289C2×#120C2314yes—
290C2×#120C2314yes—
291C2×C4×D4C2314yes—
292C2×C4×D4C2314yes—
293C2×C4×D4C2314yes—
294C2×C4×D4C2314yes—
295C2×C4×D4C2314yes—
296C2×C4×D4C2314yes—
297C2×C4×D4C2314yes—
298C2×C4×D4C2314yes—
299C2×C4×D4C2314yescomplemented
300C2×#117C2312yes—
301C2×#117C2312yes—
302C2×#117C2312yes—
303C2×#117C2314yescomplemented
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2312yes—
306C22×C22⋊C4C2312yes—
307C22×C22⋊C4C2314yes—
308C22×C22⋊C4C2312yes—
309C22×C22⋊C4C2312yes—
310C22×C22⋊C4C2312yes—
311C22×C22⋊C4C2312yes—
312C22×C22⋊C4C2312yes—
313#401C2314yescomplemented
314#400C2314yescomplemented
315#400C2314yescomplemented
316#400C2314yescomplemented
317#400C2314yescomplemented
318#400C2314yescomplemented
319#400C2314yescomplemented
320#400C2314yescomplemented
321#399C2314yes—
322#399C2314yes—
323#399C2314yescomplemented
324#399C2314yescomplemented
325#399C2314yescomplemented
326#399C2314yescomplemented
327#398C2314yescomplemented
328#398C2314yescomplemented
329#398C2314yescomplemented
330#398C2314yescomplemented
331#398C2314yescomplemented
332#398C2314yescomplemented
333#398C2314yescomplemented
334#398C2314yescomplemented
335#398C2314yescomplemented
336#398C2314yescomplemented
337#397C2314yes—
338#397C2314yes—
339#397C2314yes—
340#397C2314yes—
341#397C2314yes—
342#397C2314yes—
343#397C2314yes—
344#397C2314yes—
345#397C2314yescomplemented
346#397C2314yescomplemented
347#397C2314yescomplemented
348#397C2314yescomplemented
349#397C2314yescomplemented
350#396C2314yes—
351#396C2314yes—
352#396C2314yes—
353#396C2314yes—
354#396C2314yescomplemented
355#396C2314yescomplemented
356#396C2314yescomplemented
357#396C2314yescomplemented
358#396C2314yescomplemented
359#395C2314yescomplemented
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#394C2314yes—
374#394C2314yes—
375#394C2314yes—
376#394C2314yes—
377#394C2314yes—
378#394C2314yes—
379#394C2314yes—
380#394C2314yescomplemented
381#394C2314yescomplemented
382#394C2314yescomplemented
383#394C2314yescomplemented
384#394C2314yescomplemented
385#394C2314yescomplemented
386#394C2314yescomplemented
387#394C2314yescomplemented
388#394C2314yescomplemented
389#393C2314yescomplemented
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#392C2314yescomplemented
405#392C2314yescomplemented
406#392C2314yescomplemented
407#392C2314yescomplemented
408#392C2314yescomplemented
409#391C2314yescomplemented
410#390C2314yes—
411#390C2314yes—
412#390C2314yes—
413#390C2314yes—
414#390C2314yes—
415#390C2314yes—
416#390C2314yes—
417#390C2314yes—
418#390C2314yescomplemented
419#390C2314yescomplemented
420#389C2314yescomplemented
421#389C2314yescomplemented
422#389C2314yescomplemented
423#389C2314yescomplemented
424#389C2314yescomplemented
425#388C2314yes—
426#388C2314yes—
427#388C2314yes—
428#388C2314yes—
429#388C2314yes—
430#388C2314yes—
431#388C2314yes—
432#388C2314yes—
433#388C2314yes—
434#388C2314yes—
435#388C2314yes—
436#388C2314yes—
437#388C2314yescomplemented
438#388C2314yescomplemented
439#388C2314yescomplemented
440#388C2314yescomplemented
441#388C2314yescomplemented
442#388C2314yescomplemented
443#388C2314yescomplemented
444#388C2314yescomplemented
445#388C2314yescomplemented
446#388C2314yescomplemented
447#388C2314yescomplemented
448#388C2314yescomplemented
449#388C2314yescomplemented
450#388C2314yescomplemented
451#388C2314yescomplemented
452#387C2314yescomplemented
453#387C2314yescomplemented
454#387C2314yescomplemented
455#387C2314yescomplemented
456#387C2314yescomplemented
457#387C2314yescomplemented
458#387C2314yescomplemented
459#387C2314yescomplemented
460#387C2314yescomplemented
461#387C2314yescomplemented
462#387C2314yescomplemented
463#387C2314yescomplemented
464#387C2314yescomplemented
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#386C2314yes—
488#386C2314yes—
489#386C2314yes—
490#386C2314yes—
491#386C2314yes—
492#386C2314yes—
493#386C2314yes—
494#386C2314yes—
495#386C2314yes—
496#386C2314yes—
497#386C2314yes—
498#386C2314yes—
499#386C2314yes—
500#386C2314yes—
501#386C2314yescomplemented
502#386C2314yescomplemented
503#386C2314yescomplemented
504#386C2314yescomplemented
505#386C2314yescomplemented
506#386C2314yescomplemented
507#386C2314yescomplemented
508#386C2314yescomplemented
509#386C2314yescomplemented
510#385C2314yes—
511#385C2314yes—
512#385C2314yes—
513#385C2314yes—
514#385C2314yes—
515#385C2314yes—
516#385C2314yes—
517#385C2314yes—
518#385C2314yes—
519#385C2314yes—
520#385C2314yes—
521#385C2314yes—
522#385C2314yes—
523#385C2314yes—
524#385C2314yes—
525#385C2314yes—
526#385C2314yescomplemented
527#385C2314yescomplemented
528#385C2314yescomplemented
529#385C2314yescomplemented
530#385C2314yescomplemented
531#385C2314yescomplemented
532#385C2314yescomplemented
533#385C2314yescomplemented
534#385C2314yescomplemented
535#385C2314yescomplemented
536#385C2314yescomplemented
537#383C2314yescomplemented
538#382C2314yescomplemented
539#382C2314yescomplemented
540#381C2314yes—
541#381C2314yes—
542#381C2314yes—
543#381C2314yescomplemented
544#380C2314yes—
545#380C2312yes—
546#380C2312yes—
547#380C2314yes—
548#380C2314yes—
549#380C2312yes—
550#380C2314yes—
551#380C2314yes—
552#380C2314yes—
553#380C2314yes—
554#380C2312yes—
555#380C2312yes—
556#380C2312yes—
557#380C2312yes—
558#380C2312yes—
559#380C2312yes—
560#380C2312yes—
561#380C2312yes—
562#380C2312yes—
563#380C2314yes—
564#380C2314yescomplemented
565#380C2314yescomplemented
566#379C2314yes—
567#379C2314yes—
568#379C2314yes—
569#379C2314yes—
570#379C2314yes—
571#379C2314yes—
572#379C2314yes—
573#379C2314yes—
574C4×C4⋊C4C2314yescomplemented
575C4×C22⋊C4C2314yes—
576C4×C22⋊C4C2314yes—
577C4×C22⋊C4C2314yes—
578C4×C22⋊C4C2314yes—
579C4×C22⋊C4C2314yes—
580C4×C22⋊C4C2314yes—
581C4×C22⋊C4C2314yes—
582C4×C22⋊C4C2314yescomplemented
583C4×C22⋊C4C2314yescomplemented
584C4×C22⋊C4C2314yescomplemented
585C4×C22⋊C4C2314yescomplemented
586C2×#95C2311yescharacteristic
587C2×#95C2311yescharacteristic
588C2×#95C2312yes—
589C2×#95C2312yes—
590C2×#95C2314yescomplemented
591C25—24no—
592C25—44no—
593C25—42no—
594C25—42no—
595C25—44no—
596C25C2412yes—
597C25C2411yescharacteristic
598C25C2412yes—
599C25C2411yescharacteristic
600C25C2412yes—
601C25C2411yescharacteristic
602C2×#41—44no—
603C2×#41—44no—
604C2×#41—44no—
605C22×Q8C2412yes—
606C22×D4—44no—
607C22×D4—42no—
608C22×D4—44no—
609C22×D4—44no—
610C22×D4—44no—
611C22×D4—44no—
612C22×D4—44no—
613C22×D4—44no—
614C22×D4—44no—
615C22×D4—44no—
616C22×D4—44no—
617C22×D4C2414yes—
618C22×D4C2414yes—
619C22×D4C2414yes—
620C22×D4C2414yes—
621C22×D4C2414yes—
622C22×D4C2414yes—
623C22×D4C2414yes—
624C22×D4C2414yes—
625C22×D4C2414yes—
626C22×D4C2414yes—
627C22×D4C2414yes—
628C22×D4C2414yes—
629C22×D4C2414yes—
630C22×D4C2414yes—
631C22×D4C2412yes—
632C22×D4C2414yes—
633C22×D4C2414yes—
634C22×D4C2414yes—
635C22×D4C2414yes—
636C22×D4C2414yes—
637C23×C4—24no—
638C23×C4—28no—
639C23×C4—28no—
640C23×C4—28no—
641C23×C4—28no—
642C23×C4—44no—
643C23×C4—44no—
644C23×C4—44no—
645C23×C4—44no—
646C23×C4—44no—
647C23×C4—44no—
648C23×C4—44no—
649C23×C4—44no—
650C23×C4—44no—
651C23×C4—44no—
652C23×C4—44no—
653C23×C4—44no—
654C23×C4—44no—
655C23×C4—44no—
656C23×C4—44no—
657C23×C4—42no—
658C23×C4—44no—
659C23×C4—464no—
660C23×C4C2411yescharacteristic
661C23×C4C2412yes—
662C23×C4C2412yes—
663C23×C4C2411yescharacteristic
664C23×C4C2412yes—
665C23×C4C2412yes—
666C23×C4C2412yes—
667C23×C4C2412yes—
668C23×C4C2412yes—
669C23×C4C2412yes—
670C23×C4C2412yes—
671C23×C4C2412yes—
672C23×C4C2412yes—
673C23×C4C2414yes—
674C23×C4C2412yes—
675C23×C4C2412yes—
676C23×C4C2412yes—
677C23×C4C2414yes—
678C23×C4C2414yes—
679C23×C4C2414yes—
680C23×C4C2414yes—
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2412yes—
684#127—48no—
685#127—48no—
686#126—48no—
687#126—48no—
688#126—48no—
689#125—48no—
690#124—48no—
691#123—216no—
692#123—48no—
693#123—48no—
694#123—48no—
695#123—48no—
696#123—48no—
697#123—48no—
698#123—48no—
699#123—48no—
700#123—48no—
701C22⋊Q8—28no—
702C22⋊Q8—44no—
703C22⋊Q8—44no—
704C22⋊Q8—44no—
705C22⋊Q8—44no—
706C22⋊Q8—44no—
707#121—216no—
708#121—28no—
709#121—48no—
710#121—48no—
711#121—48no—
712#121—44no—
713#121—44no—
714#121—44no—
715#121—48no—
716#121—48no—
717#121—48no—
718#121—48no—
719#121—48no—
720#121—48no—
721#121—48no—
722#121—48no—
723#121—48no—
724#121—48no—
725#121—48no—
726#121—48no—
727#121—48no—
728#121—48no—
729#121—48no—
730#121—44no—
731#121—48no—
732#121—48no—
733#121—44no—
734#120—216no—
735#120—216no—
736#120—48no—
737#120—48no—
738#120—48no—
739#120—48no—
740#120—48no—
741#120—48no—
742#120—48no—
743#120—48no—
744#120—48no—
745#120—48no—
746#120—48no—
747C4×D4—216no—
748C4×D4—48no—
749C4×D4—48no—
750C4×D4—48no—
751C4×D4—48no—
752C4×D4—48no—
753C4×D4—48no—
754C4×D4—48no—
755C4×D4—48no—
756#117—44no—
757#117—48no—
758#117—44no—
759#117—44no—
760C2×C4⋊C4—44no—
761C2×C4⋊C4—42no—
762C2×C4⋊C4C2414yes—
763C2×C4⋊C4C2412yes—
764C2×C4⋊C4C2412yes—
765C2×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
769C2×C4⋊C4C2414yes—
770C2×C4⋊C4C2414yes—
771C2×C4⋊C4C2412yes—
772C2×C4⋊C4C2412yes—
773C2×C4⋊C4C2412yes—
774C2×C4⋊C4C2412yes—
775C2×C4⋊C4C2414yes—
776C2×C4⋊C4C2414yes—
777C2×C4⋊C4C2414yes—
778C2×C4⋊C4C2414yes—
779C2×C4⋊C4C2414yes—
780C2×C4⋊C4C2414yes—
781C2×C4⋊C4C2414yes—
782C2×C4⋊C4C2414yes—
783C2×C4⋊C4C2414yes—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C22⋊C4—28no—
793C2×C22⋊C4—44no—
794C2×C22⋊C4—44no—
795C2×C22⋊C4—48no—
796C2×C22⋊C4—44no—
797C2×C22⋊C4—44no—
798C2×C22⋊C4—44no—
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×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2414yes—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C42C2414yes—
857C2×C42C2414yes—
858C2×C42C2414yes—
859C2×C42C2414yes—
860C2×C42C2414yes—
861C2×C42C2414yes—
862C2×C42C2414yes—
863#95C2414yes—
864#95C2414yes—
865#95C2414yes—
866#95C2414yes—
867#95C2414yes—
868#95C2414yes—
869#95C2414yes—
870#95C2414yes—
871#95C2414yes—
872#95C2414yes—
873#95C2414yes—
874#95C2414yes—
875#95C2414yes—
876#95C2414yes—
877#95C2414yes—
878#95C2414yes—
879#95C2414yes—
880#95C2414yes—
881#95C2414yes—
882#95C2414yes—
883#95C2414yes—
884#95C2414yes—
885#95C2414yes—
886#95C2414yes—
887#95C2414yes—
888#95C2414yes—
889#95C2414yes—
890#95C2414yes—
891#95C2414yes—
892#95C2414yes—
893#95C2414yes—
894#95C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899C24—22no—
900C24—24no—
901C24—24no—
902C24—22no—
903C24—22no—
904C24—24no—
905C24—22no—
906C24—24no—
907C24—24no—
908C24—24no—
909C24—24no—
910C24—24no—
911C24—24no—
912C24—24no—
913C24—24no—
914C24—24no—
915C24—24no—
916C24—42no—
917C24—42no—
918C24—41no—
919C24—42no—
920C24—41no—
921C24—42no—
922C24—42no—
923C24—42no—
924C24—42no—
925C24—41no—
926C24—42no—
927C24—42no—
928C24—42no—
929C24—41no—
930C24—42no—
931C24—42no—
932C24—42no—
933C24—42no—
934C24—416no—
935C24—432no—
936C24—416no—
937C24—432no—
938C24—416no—
939C24H(5,𝔽2)14yes—
940C24C2514yes—
941C24C2514yes—
942C24C2512yes—
943C24C2511yescharacteristic
944C24C2512yes—
945C24C2511yescharacteristic
946C24C2511yescharacteristic
947#41—816no—
948C2×Q8—24no—
949C2×Q8—42no—
950C2×Q8—42no—
951C2×D4—28no—
952C2×D4—28no—
953C2×D4—28no—
954C2×D4—28no—
955C2×D4—28no—
956C2×D4—28no—
957C2×D4—28no—
958C2×D4—28no—
959C2×D4—28no—
960C2×D4—28no—
961C2×D4—28no—
962C2×D4—28no—
963C2×D4—28no—
964C2×D4—28no—
965C2×D4—28no—
966C2×D4—28no—
967C2×D4—24no—
968C2×D4—44no—
969C2×D4—44no—
970C2×D4—44no—
971C2×D4—44no—
972C2×D4—44no—
973C2×D4—44no—
974C2×D4—44no—
975C2×D4—44no—
976C2×D4—44no—
977C2×D4—44no—
978C2×D4—44no—
979C2×D4—44no—
980C2×D4—44no—
981C2×D4—44no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—44no—
987C2×D4—44no—
988C2×D4—44no—
989C2×D4—44no—
990C2×D4—44no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—44no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—88no—
1012C2×D4—816no—
1013C2×D4—816no—
1014C2×D4—816no—
1015C22×C4—22no—
1016C22×C4—24no—
1017C22×C4—24no—
1018C22×C4—24no—
1019C22×C4—24no—
1020C22×C4—24no—
1021C22×C4—24no—
1022C22×C4—24no—
1023C22×C4—24no—
1024C22×C4—24no—
1025C22×C4—24no—
1026C22×C4—24no—
1027C22×C4—24no—
1028C22×C4—24no—
1029C22×C4—24no—
1030C22×C4—24no—
1031C22×C4—24no—
1032C22×C4—24no—
1033C22×C4—24no—
1034C22×C4—24no—
1035C22×C4—24no—
1036C22×C4—24no—
1037C22×C4—24no—
1038C22×C4—24no—
1039C22×C4—24no—
1040C22×C4—24no—
1041C22×C4—28no—
1042C22×C4—41no—
1043C22×C4—42no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—42no—
1047C22×C4—42no—
1048C22×C4—42no—
1049C22×C4—42no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—42no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—42no—
1057C22×C4—42no—
1058C22×C4—42no—
1059C22×C4—42no—
1060C22×C4—41no—
1061C22×C4—42no—
1062C22×C4—42no—
1063C22×C4—42no—
1064C22×C4—42no—
1065C22×C4—42no—
1066C22×C4—44no—
1067C22×C4—44no—
1068C22×C4—44no—
1069C22×C4—44no—
1070C22×C4—44no—
1071C22×C4—42no—
1072C22×C4—44no—
1073C22×C4—44no—
1074C22×C4—44no—
1075C22×C4—44no—
1076C22×C4—44no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—44no—
1080C22×C4—44no—
1081C22×C4—416no—
1082C22×C4—432no—
1083C22×C4—432no—
1084C22×C4—432no—
1085C22×C4—432no—
1086C22×C4—432no—
1087C22×C4—416no—
1088C22×C4—432no—
1089C22×C4H(5,𝔽2)14yes—
1090C22×C4H(5,𝔽2)18yes—
1091C22×C4C2514yes—
1092C22×C4C2512yes—
1093C22×C4C2514yes—
1094C22×C4C2514yes—
1095C22×C4C2514yes—
1096C22×C4C2514yes—
1097C22×C4C2514yes—
1098C22×C4C2514yes—
1099C22×C4C2514yes—
1100C22×C4C2514yes—
1101C22×C4C2514yes—
1102C22×C4C2512yes—
1103C22×C4C2512yes—
1104C22×C4C2512yes—
1105C4⋊C4—28no—
1106C4⋊C4—28no—
1107C4⋊C4—24no—
1108C4⋊C4—24no—
1109C4⋊C4—28no—
1110C4⋊C4—28no—
1111C4⋊C4—28no—
1112C4⋊C4—44no—
1113C4⋊C4—44no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—44no—
1119C4⋊C4—44no—
1120C4⋊C4—44no—
1121C4⋊C4—44no—
1122C4⋊C4—44no—
1123C4⋊C4—44no—
1124C4⋊C4—44no—
1125C4⋊C4—44no—
1126C4⋊C4—44no—
1127C4⋊C4—44no—
1128C4⋊C4—44no—
1129C4⋊C4—44no—
1130C4⋊C4—44no—
1131C4⋊C4—44no—
1132C4⋊C4—44no—
1133C4⋊C4—44no—
1134C4⋊C4—44no—
1135C22⋊C4—28no—
1136C22⋊C4—28no—
1137C22⋊C4—28no—
1138C22⋊C4—28no—
1139C22⋊C4—28no—
1140C22⋊C4—28no—
1141C22⋊C4—28no—
1142C22⋊C4—28no—
1143C22⋊C4—28no—
1144C22⋊C4—28no—
1145C22⋊C4—28no—
1146C22⋊C4—28no—
1147C22⋊C4—28no—
1148C22⋊C4—28no—
1149C22⋊C4—28no—
1150C22⋊C4—28no—
1151C22⋊C4—28no—
1152C22⋊C4—28no—
1153C22⋊C4—28no—
1154C22⋊C4—28no—
1155C22⋊C4—44no—
1156C22⋊C4—44no—
1157C22⋊C4—44no—
1158C22⋊C4—44no—
1159C22⋊C4—44no—
1160C22⋊C4—44no—
1161C22⋊C4—44no—
1162C22⋊C4—44no—
1163C22⋊C4—44no—
1164C22⋊C4—44no—
1165C22⋊C4—44no—
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—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C42—28no—
1193C42—44no—
1194C42—44no—
1195C42—44no—
1196C42—44no—
1197C42—44no—
1198C42—44no—
1199C23—22no—
1200C23—21no—
1201C23—21no—
1202C23—28no—
1203C23—216no—
1204C23—22no—
1205C23—21no—
1206C23—22no—
1207C23—22no—
1208C23—22no—
1209C23—22no—
1210C23—22no—
1211C23—22no—
1212C23—21no—
1213C23—22no—
1214C23—21no—
1215C23—22no—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—21no—
1224C23—24no—
1225C23—24no—
1226C23—24no—
1227C23—24no—
1228C23—24no—
1229C23—24no—
1230C23—24no—
1231C23—24no—
1232C23—24no—
1233C23—24no—
1234C23—24no—
1235C23—24no—
1236C23—24no—
1237C23—24no—
1238C23—44no—
1239C23—48no—
1240C23—48no—
1241C23—44no—
1242C23—48no—
1243C23—48no—
1244C23—48no—
1245C23—48no—
1246C23—48no—
1247C23—48no—
1248C23—48no—
1249C23—48no—
1250C23—48no—
1251C23—44no—
1252C23—48no—
1253C23—48no—
1254C23—48no—
1255C23—48no—
1256C23—44no—
1257C23—48no—
1258C23—44no—
1259C23—4128no—
1260C23—44no—
1261C23—44no—
1262C23—48no—
1263C23—48no—
1264C23—44no—
1265C23—48no—
1266C23—48no—
1267C23—84no—
1268C23—84no—
1269C23—84no—
1270C23—84no—
1271C23—84no—
1272C23—84no—
1273C23C2×H(5,𝔽2)12yes—
1274C23C2×H(5,𝔽2)14yes—
1275C23C2×H(5,𝔽2)14yes—
1276C23C2×H(5,𝔽2)12yes—
1277C23#58512yes—
1278C23#58514yes—
1279C23C2611yescharacteristic
1280Q8—84no—
1281D4—416no—
1282D4—88no—
1283D4—84no—
1284D4—88no—
1285D4—88no—
1286D4—88no—
1287D4—88no—
1288D4—88no—
1289D4—88no—
1290D4—88no—
1291D4—88no—
1292D4—88no—
1293D4—88no—
1294D4—88no—
1295D4—88no—
1296D4—88no—
1297D4—164no—
1298D4—164no—
1299D4—164no—
1300D4—164no—
1301C2×C4—28no—
1302C2×C4—216no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—24no—
1310C2×C4—24no—
1311C2×C4—24no—
1312C2×C4—24no—
1313C2×C4—24no—
1314C2×C4—24no—
1315C2×C4—24no—
1316C2×C4—24no—
1317C2×C4—24no—
1318C2×C4—24no—
1319C2×C4—24no—
1320C2×C4—24no—
1321C2×C4—24no—
1322C2×C4—24no—
1323C2×C4—24no—
1324C2×C4—24no—
1325C2×C4—24no—
1326C2×C4—24no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—24no—
1331C2×C4—24no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—24no—
1335C2×C4—24no—
1336C2×C4—24no—
1337C2×C4—24no—
1338C2×C4—24no—
1339C2×C4—24no—
1340C2×C4—24no—
1341C2×C4—24no—
1342C2×C4—48no—
1343C2×C4—44no—
1344C2×C4—44no—
1345C2×C4—48no—
1346C2×C4—48no—
1347C2×C4—48no—
1348C2×C4—48no—
1349C2×C4—48no—
1350C2×C4—48no—
1351C2×C4—48no—
1352C2×C4—48no—
1353C2×C4—48no—
1354C2×C4—48no—
1355C2×C4—44no—
1356C2×C4—88no—
1357C2×C4—84no—
1358C2×C4—84no—
1359C2×C4—84no—
1360C2×C4—88no—
1361C2×C4—164no—
1362C2×C4—164no—
1363C2×C4—164no—
1364C2×C4C2×H(5,𝔽2)14yes—
1365C2×C4C2×H(5,𝔽2)14yes—
1366C2×C4C2×H(5,𝔽2)14yes—
1367C22—24no—
1368C22—22no—
1369C22—22no—
1370C22—24no—
1371C22—24no—
1372C22—24no—
1373C22—24no—
1374C22—24no—
1375C22—22no—
1376C22—24no—
1377C22—22no—
1378C22—24no—
1379C22—24no—
1380C22—24no—
1381C22—432no—
1382C22—416no—
1383C22—416no—
1384C22—416no—
1385C22—432no—
1386C22—42no—
1387C22—42no—
1388C22—41no—
1389C22—41no—
1390C22—42no—
1391C22—42no—
1392C22—42no—
1393C22—42no—
1394C22—41no—
1395C22—42no—
1396C22—41no—
1397C22—42no—
1398C22—42no—
1399C22—42no—
1400C22—44no—
1401C22—44no—
1402C22—44no—
1403C22—44no—
1404C22—44no—
1405C22—44no—
1406C22—44no—
1407C22—44no—
1408C22—44no—
1409C22—44no—
1410C22—44no—
1411C22—44no—
1412C22—44no—
1413C22—44no—
1414C22—168no—
1415C22#353914yes—
1416C22C22×H(5,𝔽2)11yescharacteristic
1417C22C22×H(5,𝔽2)12yes—
1418C22C22×H(5,𝔽2)11yescharacteristic
1419C22C2×#58512yes—
1420C22C2×#58511yescharacteristic
1421C4—24no—
1422C4—24no—
1423C4—24no—
1424C4—44no—
1425C4—44no—
1426C4—44no—
1427C4—42no—
1428C4—44no—
1429C4—44no—
1430C4—44no—
1431C4—44no—
1432C4—44no—
1433C4—44no—
1434C4—44no—
1435C2—24no—
1436C2—44no—
1437C2—42no—
1438C2—44no—
1439C2—42no—
1440C2—84no—
1441C2—84no—
1442C2C2×#353911yescharacteristic
1443C2#6272912yes—
1444C2#6281711yescharacteristic
1445C2#6281811yescharacteristic
1446C2#6281812yes—
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. #59384C2semidirect
2. #53164C2semidirect
3. #53163C2semidirect
4. #45506C2semidirect
5. #45476C2semidirect
6. #45438C2semidirect
7. #38013C2semidirect
8. #37940C2semidirect
9. #37932C2semidirect
10. #37908C2semidirect
11. #37826C2semidirect
12. #37769C2semidirect
13. #37761C2semidirect
14. #37722C2semidirect
15. #36734C2semidirect
16. #36728C2semidirect
17. #36727C2semidirect
18. #36713C2semidirect
19. #36706C2semidirect
20. #36614C2semidirect
21. C2×#2847C2semidirect
23. C2×#560C22semidirect
24. C2×#540C22semidirect
25. C2×#538C22semidirect
27. C2×#525C22semidirect
28. C2×#525C22semidirect
33. #2849C22semidirect
34. #2849C22semidirect
37. #2848C22semidirect
38. #2848C22semidirect
45. #2847C22semidirect
46. #2847C22semidirect
48. #2812C22semidirect
49. #2812C22semidirect
50. #2787C22semidirect
51. #2781C22semidirect
52. #2780C22semidirect
53. #2778C22semidirect
54. #2778C22semidirect
55. #2753C22semidirect
56. #2750C22semidirect
57. #2748C22semidirect
58. #2747C22semidirect
59. #2746C22semidirect
60. #2746C22semidirect
61. #2744C22semidirect
62. #2743C22semidirect
63. #2741C22semidirect
64. #2730C22semidirect
65. #2723C22semidirect
66. #2722C22semidirect
67. #2711C22semidirect
68. #2708C22semidirect
69. #2708C22semidirect
70. #2706C22semidirect
71. #2705C22semidirect
72. #2704C22semidirect
73. #2703C22semidirect
74. #2701C22semidirect
75. #2699C22semidirect
76. #2697C22semidirect
77. #2695C22semidirect
78. #2695C22semidirect
79. #2694C22semidirect
80. #2693C22semidirect
81. #2691C22semidirect
82. #2691C22semidirect
83. #2690C22semidirect
84. #2688C22semidirect
85. #2688C22semidirect
86. #2688C22semidirect
87. #2687C22semidirect
88. #2685C22semidirect
89. #2685C22semidirect
90. #2678C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2676C22semidirect
95. #2676C22semidirect
96. #2675C22semidirect
97. #2675C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2672C22semidirect
103. #2671C22semidirect
104. #2671C22semidirect
105. #2671C22semidirect
106. #2671C22semidirect
107. #2671C22semidirect
108. #2671C22semidirect
109. #2669C22semidirect
110. #2669C22semidirect
111. #2669C22semidirect
112. #2668C22semidirect
113. #2668C22semidirect
114. #2667C22semidirect
115. #2661C22semidirect
116. #2659C22semidirect
117. #2656C22semidirect
118. #2646C22semidirect
119. #2646C22semidirect
120. #2635C22semidirect
121. #2630C22semidirect
122. #2626C22semidirect
123. #2617C22semidirect
124. #2609C22semidirect
125. #2602C22semidirect
126. #2598C22semidirect
127. #2598C22semidirect
128. #2595C22semidirect
129. #2579C22semidirect
130. #2578C22semidirect
131. #2577C22semidirect
132. #2576C22semidirect
133. #2559C22semidirect
134. #2559C22semidirect
135. #2553C22semidirect
136. #2553C22semidirect
137. #2543C22semidirect
138. #2535C22semidirect
139. #2518C22semidirect
140. #2510C22semidirect
141. #2505C22semidirect
144. #2479C22semidirect
145. #2477C22semidirect
146. #2476C22semidirect
147. #2476C22semidirect
148. #2473C22semidirect
149. #2471C22semidirect
150. #2470C22semidirect
151. #2467C22semidirect
152. #2464C22semidirect
153. #2464C22semidirect
154. #2464C22semidirect
155. #2461C22semidirect
156. #2460C22semidirect
157. #2456C22semidirect
158. #2443C22semidirect
160. #2431C22semidirect
161. #2430C22semidirect
162. #2428C22semidirect
163. #2428C22semidirect
164. #2425C22semidirect
165. #2425C22semidirect
168. #2424C22semidirect
171. #2418C22semidirect
174. #2410C22semidirect
178. #2375C22semidirect
179. #2364C22semidirect
180. #2364C22semidirect
181. #2363C22semidirect
182. #2358C22semidirect
183. #2349C22semidirect
184. #2342C22semidirect
185. #2335C22semidirect
186. #2333C22semidirect
187. #2329C22semidirect
188. #2325C22semidirect
189. #2318C22semidirect
190. #2315C22semidirect
193. C4×#120C22semidirect
194. C4×#120C22semidirect
199. #2280C22semidirect
200. #2280C22semidirect
226. C2×#126C23semidirect
227. C2×#125C23semidirect
228. C2×#124C23semidirect
239. C2×#123C23semidirect
240. C2×#123C23semidirect
241. C2×#123C23semidirect
273. C2×#121C23semidirect
274. C2×#121C23semidirect
275. C2×#121C23semidirect
276. C2×#121C23semidirect
299. C2×C4×D4C23semidirect
303. C2×#117C23semidirect
313. #401C23semidirect
314. #400C23semidirect
315. #400C23semidirect
316. #400C23semidirect
317. #400C23semidirect
318. #400C23semidirect
319. #400C23semidirect
320. #400C23semidirect
323. #399C23semidirect
324. #399C23semidirect
325. #399C23semidirect
326. #399C23semidirect
327. #398C23semidirect
328. #398C23semidirect
329. #398C23semidirect
330. #398C23semidirect
331. #398C23semidirect
332. #398C23semidirect
333. #398C23semidirect
334. #398C23semidirect
335. #398C23semidirect
336. #398C23semidirect
345. #397C23semidirect
346. #397C23semidirect
347. #397C23semidirect
348. #397C23semidirect
349. #397C23semidirect
354. #396C23semidirect
355. #396C23semidirect
356. #396C23semidirect
357. #396C23semidirect
358. #396C23semidirect
359. #395C23semidirect
380. #394C23semidirect
381. #394C23semidirect
382. #394C23semidirect
383. #394C23semidirect
384. #394C23semidirect
385. #394C23semidirect
386. #394C23semidirect
387. #394C23semidirect
388. #394C23semidirect
389. #393C23semidirect
404. #392C23semidirect
405. #392C23semidirect
406. #392C23semidirect
407. #392C23semidirect
408. #392C23semidirect
409. #391C23semidirect
418. #390C23semidirect
419. #390C23semidirect
420. #389C23semidirect
421. #389C23semidirect
422. #389C23semidirect
423. #389C23semidirect
424. #389C23semidirect
437. #388C23semidirect
438. #388C23semidirect
439. #388C23semidirect
440. #388C23semidirect
441. #388C23semidirect
442. #388C23semidirect
443. #388C23semidirect
444. #388C23semidirect
445. #388C23semidirect
446. #388C23semidirect
447. #388C23semidirect
448. #388C23semidirect
449. #388C23semidirect
450. #388C23semidirect
451. #388C23semidirect
452. #387C23semidirect
453. #387C23semidirect
454. #387C23semidirect
455. #387C23semidirect
456. #387C23semidirect
457. #387C23semidirect
458. #387C23semidirect
459. #387C23semidirect
460. #387C23semidirect
461. #387C23semidirect
462. #387C23semidirect
463. #387C23semidirect
464. #387C23semidirect
501. #386C23semidirect
502. #386C23semidirect
503. #386C23semidirect
504. #386C23semidirect
505. #386C23semidirect
506. #386C23semidirect
507. #386C23semidirect
508. #386C23semidirect
509. #386C23semidirect
526. #385C23semidirect
527. #385C23semidirect
528. #385C23semidirect
529. #385C23semidirect
530. #385C23semidirect
531. #385C23semidirect
532. #385C23semidirect
533. #385C23semidirect
534. #385C23semidirect
535. #385C23semidirect
536. #385C23semidirect
537. #383C23semidirect
538. #382C23semidirect
539. #382C23semidirect
543. #381C23semidirect
564. #380C23semidirect
565. #380C23semidirect
574. C4×C4⋊C4C23semidirect
582. C4×C22⋊C4C23semidirect
583. C4×C22⋊C4C23semidirect
584. C4×C22⋊C4C23semidirect
585. C4×C22⋊C4C23semidirect
590. C2×#95C23semidirect

Maximal subgroups

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

subgroupindex
#593842
#531642
#531632
#455062
#454762
#454382
#380132
#379402
#379322
#379082
#378262
#377692
#377612
#377222
#367342
#367282
#367272
#367132
#367062
#366142
C2×#28472