Finite Group Databasebeta

← #8712450

Subgroups — #8712450

Order 512.

4467 conjugacy classes of subgroups.

The subgroup lattice has 1362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59423C213yesmaximal, complemented
2#59422C213yesmaximal, complemented
3#59192C213yesmaximal, complemented
4#58849C211yesmaximal, characteristic, complemented
5#58460C211yesmaximal, characteristic, complemented
6#57851C213yesmaximal, complemented
7#57754C213yesmaximal, complemented
8#57594C213yesmaximal, complemented
9#55438C213yesmaximal, complemented
10#52511C213yesmaximal, complemented
11C2×#2736C211yesmaximal, characteristic, complemented
12#47054C213yesmaximal, complemented
13#46954C213yesmaximal, complemented
14#44786C213yesmaximal, complemented
15#44470C213yesmaximal, complemented
16#43631C213yesmaximal, complemented
17#42318C213yesmaximal, complemented
18#42244C213yesmaximal, complemented
19#40764C213yesmaximal, complemented
20#38547C213yesmaximal, complemented
21#38134C213yesmaximal, complemented
22#37848C213yesmaximal
23#35848C213yesmaximal, complemented
24#2852C2211yescharacteristic, complemented
25#2852C2211yescharacteristic, complemented
26#2846C2211yescharacteristic
27#2838C2213yescomplemented
28#2838C2213yescomplemented
29#2836C2213yescomplemented
30#2836C2213yescomplemented
31#2834C2213yescomplemented
32#2832C2213yescomplemented
33#2831C2213yescomplemented
34#2831C2213yescomplemented
35#2831C2213yescomplemented
36#2817C2213yescomplemented
37#2808C2213yescomplemented
38#2804C2213yescomplemented
39#2801C2213yescomplemented
40#2798C2213yescomplemented
41#2798C2213yescomplemented
42#2798C2213yescomplemented
43#2796C2213yescomplemented
44#2788C2213yescomplemented
45#2788C2213yescomplemented
46#2787C2213yescomplemented
47#2783C2213yescomplemented
48#2779C2213yescomplemented
49#2777C2213yescomplemented
50#2777C2213yescomplemented
51#2777C2213yescomplemented
52#2777C2213yescomplemented
53#2775C2213yescomplemented
54#2775C2213yescomplemented
55#2773C2213yescomplemented
56#2772C2213yescomplemented
57#2771C2213yescomplemented
58#2770C2213yescomplemented
59#2770C2213yescomplemented
60#2764C2213yescomplemented
61#2764C2213yescomplemented
62#2763C2213yescomplemented
63#2759C2213yescomplemented
64#2759C2213yescomplemented
65#2759C2213yescomplemented
66#2759C2213yescomplemented
67#2754C2213yescomplemented
68#2754C2213yescomplemented
69#2751C2213yescomplemented
70#2751C2213yescomplemented
71#2745C2213yescomplemented
72#2745C2213yescomplemented
73#2745C2213yescomplemented
74#2742C2213yescomplemented
75#2741C2213yescomplemented
76#2739C2213yescomplemented
77#2737C2213yescomplemented
78#2736C2213yes—
79#2736C2213yes—
80#2736C2211yescharacteristic
81#2736C2213yes—
82#2736C2213yes—
83#2736C2213yes—
84#2736C2213yes—
85#2736C2213yes—
86#2735C2213yes—
87#2735C2213yes—
88#2735C2213yes—
89#2735C2213yes—
90#2735C2213yes—
91#2735C2213yes—
92#2723C2213yescomplemented
93#2722C2213yescomplemented
94#2715C2213yescomplemented
95#2697C2213yes—
96#2689C2213yescomplemented
97#2689C2213yescomplemented
98#2689C2213yescomplemented
99#2687C2213yescomplemented
100#2685C2213yes—
101#2685C2213yes—
102#2684C2213yes—
103#2665C2213yescomplemented
104#2654C2213yescomplemented
105#2654C2213yescomplemented
106#2653C2213yescomplemented
107#2653C2213yescomplemented
108#2651C2213yescomplemented
109#2650C2213yescomplemented
110#2650C2213yescomplemented
111#2649C2213yescomplemented
112#2646C2213yescomplemented
113#2632C2213yescomplemented
114#2626C2213yes—
115#2622C2213yes—
116#2614C2211yescharacteristic, complemented
117#2607C2213yescomplemented
118#2604C2213yescomplemented
119#2599C2213yescomplemented
120#2596C2213yescomplemented
121#2596C2213yescomplemented
122#2596C2213yescomplemented
123#2594C2213yescomplemented
124#2594C2213yescomplemented
125#2594C2213yescomplemented
126#2589C2213yescomplemented
127#2589C2213yescomplemented
128#2583C2213yescomplemented
129#2583C2213yescomplemented
130#2578C2213yescomplemented
131#2577C2213yescomplemented
132#2574C2213yescomplemented
133#2573C2213yescomplemented
134#2573C2213yescomplemented
135#2573C2213yescomplemented
136#2572C2213yescomplemented
137#2561C2213yes—
138#2561C2213yes—
139#2561C2213yes—
140#2561C2213yes—
141#2553C2213yescomplemented
142#2534C2213yes—
143#2532C2213yescomplemented
144#2532C2213yescomplemented
145#2532C2213yescomplemented
146#2531C2213yescomplemented
147#2530C2213yescomplemented
148#2529C2213yescomplemented
149#2529C2213yescomplemented
150#2527C2213yescomplemented
151#2527C2213yescomplemented
152#2525C2213yescomplemented
153#2525C2213yescomplemented
154#2525C2213yescomplemented
155#2525C2213yescomplemented
156#2523C2213yescomplemented
157#2521C2213yescomplemented
158#2516C2213yescomplemented
159#2510C2213yescomplemented
160#2495C2213yescomplemented
161#2494C2213yescomplemented
162#2493C2213yescomplemented
163#2493C2213yescomplemented
164#2493C2213yescomplemented
165#2493C2213yescomplemented
166#2488C2213yescomplemented
167#2487C2213yescomplemented
168#2483C2213yes—
169#2483C2213yes—
170#2483C2213yes—
171#2482C2213yes—
172#2482C2213yes—
173#2482C2213yes—
174#2482C2213yes—
175#2480C2213yes—
176#2480C2213yes—
177#2480C2213yes—
178#2480C2213yes—
179#2480C2213yes—
180#2480C2213yes—
181#2480C2213yes—
182#2480C2213yes—
183#2480C2213yes—
184#2480C2213yes—
185#2479C2213yescomplemented
186#2478C2213yescomplemented
187#2478C2213yescomplemented
188#2472C2213yes—
189#2472C2213yes—
190#2469C2213yescomplemented
191#2469C2213yescomplemented
192#2469C2213yescomplemented
193#2468C2213yescomplemented
194#2465C2213yescomplemented
195#2465C2213yescomplemented
196#2448C2213yescomplemented
197#2438C2213yescomplemented
198#2438C2213yescomplemented
199#2438C2213yescomplemented
200#2437C2213yes—
201#2437C2213yes—
202#2437C2213yes—
203#2437C2213yes—
204#2421C2213yescomplemented
205#2419C2213yescomplemented
206#2419C2213yescomplemented
207#2418C2213yes—
208#2418C2213yes—
209#2412C2213yes—
210#2411C2213yes—
211#2401C2213yescomplemented
212#2395C2213yescomplemented
213C2×#397C2213yes—
214C2×#393C2213yes—
215#2373C2213yescomplemented
216#2373C2213yescomplemented
217#2362C2213yescomplemented
218#2359C2213yescomplemented
219#2358C2213yes—
220#2347C2213yescomplemented
221#2345C2213yescomplemented
222#2343C2213yescomplemented
223#2343C2213yescomplemented
224#2342C2213yes—
225#2342C2213yes—
226#2342C2213yes—
227#2342C2213yes—
228#2342C2213yes—
229#2342C2213yes—
230#2342C2213yes—
231#2335C2213yescomplemented
232#2334C2213yescomplemented
233#2323C2213yescomplemented
234#2321C2213yes—
235#2319C2213yescomplemented
236#2312C2213yes—
237#2310C2213yescomplemented
238C4×C22⋊Q8C2213yescomplemented
239C4×C22⋊Q8C2213yescomplemented
240C2×#388C2213yes—
241C2×#388C2213yes—
242C2×#379C2213yes—
243C2×#379C2213yes—
244#2275C2211yescharacteristic, complemented
245C26C2311yescharacteristic
246C23×Q8C2311yescharacteristic
247C2×#126C2313yes—
248C2×#126C2313yes—
249C2×#126C2313yes—
250C2×#126C2313yes—
251C2×#126C2311yescharacteristic, complemented
252C2×#126C2311yescharacteristic, complemented
253C2×#124C2313yes—
254C2×#123C2313yes—
255C2×#123C2313yes—
256C2×C22⋊Q8C2313yes—
257C2×C22⋊Q8C2313yes—
258C2×C22⋊Q8C2313yes—
259C2×C22⋊Q8C2313yes—
260C2×C22⋊Q8C2313yes—
261C2×#120C2313yes—
262C2×#120C2313yes—
263C2×#120C2311yescharacteristic
264C2×C4×Q8C2313yescomplemented
265C2×C4×Q8C2313yescomplemented
266C2×C4×D4C2313yes—
267C2×C4×D4C2313yes—
268C2×#117C2313yes—
269C2×#117C2313yes—
270C2×#117C2313yes—
271C2×#117C2313yes—
272C22×C4⋊C4C2313yes—
273C22×C22⋊C4C2313yes—
274C22×C22⋊C4C2313yes—
275C22×C22⋊C4C2313yes—
276C22×C22⋊C4C2313yes—
277C22×C22⋊C4C2313yes—
278C22×C22⋊C4C2313yes—
279C22×C22⋊C4C2313yes—
280C22×C22⋊C4C2313yes—
281C22×C22⋊C4C2313yes—
282C22×C22⋊C4C2313yes—
283C22×C22⋊C4C2313yes—
284C22×C22⋊C4C2313yes—
285C22×C42C2311yescharacteristic
286C22×C42C2311yescharacteristic
287#401C2313yescomplemented
288#401C2313yescomplemented
289#401C2313yescomplemented
290#401C2313yescomplemented
291#400C2313yescomplemented
292#400C2313yescomplemented
293#400C2313yescomplemented
294#400C2313yescomplemented
295#400C2313yescomplemented
296#400C2313yescomplemented
297#400C2313yescomplemented
298#400C2313yescomplemented
299#400C2313yescomplemented
300#400C2313yescomplemented
301#400C2313yescomplemented
302#400C2313yescomplemented
303#400C2313yescomplemented
304#400C2313yescomplemented
305#400C2313yescomplemented
306#400C2313yescomplemented
307#400C2313yescomplemented
308#400C2313yescomplemented
309#400C2313yescomplemented
310#400C2313yescomplemented
311#400C2313yescomplemented
312#400C2313yescomplemented
313#400C2313yescomplemented
314#400C2313yescomplemented
315#399C2313yes—
316#399C2313yes—
317#399C2313yes—
318#399C2313yes—
319#399C2313yes—
320#399C2313yes—
321#399C2313yes—
322#399C2313yes—
323#399C2313yescomplemented
324#399C2313yescomplemented
325#398C2313yescomplemented
326#398C2313yescomplemented
327#398C2313yescomplemented
328#398C2313yescomplemented
329#398C2313yescomplemented
330#398C2313yescomplemented
331#398C2313yescomplemented
332#398C2313yescomplemented
333#398C2313yescomplemented
334#398C2313yescomplemented
335#398C2313yescomplemented
336#398C2313yescomplemented
337#398C2313yescomplemented
338#398C2313yescomplemented
339#398C2313yescomplemented
340#397C2313yes—
341#397C2313yes—
342#397C2313yes—
343#397C2313yes—
344#397C2313yes—
345#397C2313yes—
346#397C2313yes—
347#397C2313yes—
348#397C2313yes—
349#397C2313yes—
350#397C2313yes—
351#397C2313yes—
352#397C2313yes—
353#397C2313yes—
354#397C2313yes—
355#397C2313yes—
356#397C2313yes—
357#397C2313yes—
358#397C2313yes—
359#397C2313yes—
360#397C2313yes—
361#397C2313yes—
362#397C2313yes—
363#397C2313yes—
364#397C2313yes—
365#397C2313yes—
366#397C2313yes—
367#397C2313yes—
368#397C2313yes—
369#397C2313yes—
370#397C2313yes—
371#397C2313yes—
372#397C2313yes—
373#397C2313yes—
374#397C2313yes—
375#397C2313yes—
376#397C2313yes—
377#397C2313yes—
378#397C2313yes—
379#397C2313yes—
380#397C2313yescomplemented
381#397C2313yescomplemented
382#397C2313yescomplemented
383#396C2313yes—
384#396C2313yes—
385#396C2313yes—
386#396C2313yes—
387#396C2313yes—
388#396C2313yes—
389#396C2313yes—
390#396C2313yes—
391#396C2313yes—
392#396C2313yes—
393#396C2313yes—
394#396C2313yes—
395#396C2313yes—
396#396C2313yes—
397#395C2313yescomplemented
398#395C2313yescomplemented
399#395C2313yescomplemented
400#395C2313yescomplemented
401#395C2313yescomplemented
402#395C2313yescomplemented
403#395C2313yescomplemented
404#395C2311yescharacteristic, complemented
405#395C2313yescomplemented
406#394C2313yes—
407#394C2313yes—
408#394C2313yes—
409#394C2313yes—
410#394C2313yes—
411#394C2313yes—
412#394C2313yes—
413#394C2313yes—
414#394C2313yes—
415#394C2313yes—
416#393C2313yes—
417#393C2313yes—
418#393C2313yes—
419#393C2313yes—
420#393C2313yes—
421#393C2313yes—
422#393C2313yes—
423#393C2313yes—
424#393C2313yes—
425#393C2313yes—
426#393C2313yes—
427#393C2313yes—
428#393C2313yes—
429#393C2313yes—
430#393C2313yes—
431#393C2313yes—
432#393C2313yescomplemented
433#393C2313yescomplemented
434#393C2311yescharacteristic, complemented
435#391C2313yescomplemented
436#391C2313yescomplemented
437#391C2313yescomplemented
438#391C2313yescomplemented
439#391C2313yescomplemented
440#391C2313yescomplemented
441#391C2313yescomplemented
442#391C2313yescomplemented
443#391C2313yescomplemented
444#391C2313yescomplemented
445#391C2313yescomplemented
446#391C2313yescomplemented
447#391C2313yescomplemented
448#391C2313yescomplemented
449#390C2313yes—
450#390C2313yes—
451#390C2313yes—
452#390C2313yes—
453#389C2313yescomplemented
454#389C2313yescomplemented
455#389C2313yescomplemented
456#389C2313yescomplemented
457#389C2313yescomplemented
458#389C2313yescomplemented
459#389C2313yescomplemented
460#389C2313yescomplemented
461#389C2313yescomplemented
462#389C2313yescomplemented
463#389C2313yescomplemented
464#389C2313yescomplemented
465#389C2313yescomplemented
466#389C2313yescomplemented
467#389C2313yescomplemented
468#389C2313yescomplemented
469#389C2313yescomplemented
470#389C2313yescomplemented
471#388C2313yes—
472#388C2313yes—
473#388C2313yes—
474#388C2313yes—
475#388C2313yes—
476#388C2313yes—
477#388C2313yes—
478#388C2313yes—
479#388C2313yes—
480#388C2313yes—
481#388C2313yes—
482#388C2313yes—
483#388C2313yes—
484#388C2313yes—
485#388C2313yes—
486#388C2313yes—
487#388C2313yes—
488#388C2313yes—
489#388C2313yes—
490#388C2313yes—
491#388C2313yes—
492#388C2313yes—
493#388C2313yes—
494#388C2313yes—
495#388C2313yes—
496#388C2313yes—
497#388C2313yes—
498#388C2313yes—
499#388C2313yes—
500#388C2313yes—
501#388C2313yes—
502#388C2313yes—
503#388C2313yes—
504#388C2313yes—
505#388C2313yes—
506#388C2313yes—
507#388C2313yes—
508#388C2313yes—
509#388C2313yes—
510#388C2313yes—
511#388C2313yes—
512#388C2313yes—
513#388C2313yes—
514#388C2313yes—
515#388C2313yes—
516#388C2313yes—
517#388C2313yes—
518#388C2313yes—
519#388C2313yes—
520#388C2313yes—
521#388C2313yes—
522#388C2313yes—
523#388C2313yes—
524#388C2313yes—
525#388C2313yes—
526#388C2313yes—
527#388C2313yes—
528#388C2313yes—
529#388C2313yes—
530#388C2313yes—
531#388C2313yes—
532#388C2313yes—
533#388C2313yes—
534#388C2313yes—
535#388C2313yes—
536#388C2313yes—
537#388C2313yes—
538#388C2313yes—
539#388C2313yes—
540#388C2313yes—
541#388C2313yes—
542#388C2313yes—
543#388C2313yes—
544#388C2313yes—
545#388C2313yescomplemented
546#388C2313yescomplemented
547#388C2313yescomplemented
548#388C2313yescomplemented
549#388C2313yescomplemented
550#388C2313yescomplemented
551#387C2313yescomplemented
552#387C2313yescomplemented
553#387C2313yescomplemented
554#387C2313yescomplemented
555#387C2313yescomplemented
556#387C2313yescomplemented
557#387C2313yescomplemented
558#387C2313yescomplemented
559#387C2313yescomplemented
560#387C2313yescomplemented
561#387C2313yescomplemented
562#387C2313yescomplemented
563#387C2313yescomplemented
564#387C2313yescomplemented
565#387C2313yescomplemented
566#387C2313yescomplemented
567#387C2313yescomplemented
568#387C2313yescomplemented
569#387C2313yescomplemented
570#387C2313yescomplemented
571#387C2313yescomplemented
572#387C2313yescomplemented
573#387C2313yescomplemented
574#387C2313yescomplemented
575#387C2313yescomplemented
576#387C2313yescomplemented
577#387C2313yescomplemented
578#387C2313yescomplemented
579#387C2313yescomplemented
580#387C2313yescomplemented
581#387C2313yescomplemented
582#387C2313yescomplemented
583#387C2313yescomplemented
584#387C2313yescomplemented
585#387C2313yescomplemented
586#387C2313yescomplemented
587#387C2313yescomplemented
588#387C2313yescomplemented
589#387C2313yescomplemented
590#387C2313yescomplemented
591#386C2313yes—
592#386C2313yes—
593#386C2313yes—
594#386C2313yes—
595#386C2313yes—
596#386C2313yes—
597#386C2313yes—
598#386C2313yes—
599#386C2313yes—
600#385C2313yes—
601#385C2313yes—
602#385C2313yes—
603#385C2313yes—
604#385C2313yes—
605#385C2313yes—
606#385C2313yes—
607#385C2313yes—
608#385C2313yes—
609#385C2313yes—
610#385C2313yes—
611#385C2313yes—
612#385C2313yes—
613#385C2313yes—
614#385C2313yes—
615#385C2313yes—
616#385C2313yes—
617#385C2313yes—
618#385C2313yes—
619#385C2313yes—
620#385C2313yes—
621#385C2313yes—
622#385C2313yes—
623#385C2313yes—
624#385C2313yes—
625#385C2313yes—
626#385C2313yes—
627#385C2313yescomplemented
628#385C2313yescomplemented
629#383C2313yescomplemented
630#383C2313yescomplemented
631#383C2313yescomplemented
632#383C2313yescomplemented
633#383C2313yescomplemented
634#383C2311yescharacteristic, complemented
635#383C2311yescharacteristic, complemented
636#383C2313yescomplemented
637#382C2313yescomplemented
638#382C2313yescomplemented
639#382C2313yescomplemented
640#381C2313yes—
641#381C2313yes—
642#381C2313yes—
643#381C2313yes—
644#381C2313yes—
645#381C2313yes—
646#381C2313yes—
647#381C2313yes—
648#381C2313yes—
649#381C2313yes—
650#381C2313yes—
651#381C2313yescomplemented
652#380C2313yes—
653#380C2313yes—
654#380C2313yes—
655#380C2313yes—
656#380C2313yes—
657#380C2313yes—
658#380C2313yes—
659#380C2313yes—
660#380C2313yes—
661#380C2313yes—
662#380C2313yes—
663#380C2313yescomplemented
664#380C2313yescomplemented
665#379C2313yes—
666#379C2313yes—
667#379C2313yes—
668#379C2313yes—
669#379C2313yes—
670#379C2313yes—
671#379C2313yes—
672#379C2313yes—
673#379C2313yes—
674#379C2311yescharacteristic
675#379C2313yes—
676#379C2313yes—
677#379C2313yes—
678#379C2313yes—
679#379C2313yes—
680#379C2313yes—
681#379C2313yes—
682#379C2313yes—
683#379C2313yes—
684C4×C4⋊C4C2313yescomplemented
685C4×C4⋊C4C2313yescomplemented
686C4×C4⋊C4C2313yescomplemented
687C4×C4⋊C4C2313yescomplemented
688C4×C4⋊C4C2313yescomplemented
689C4×C4⋊C4C2313yescomplemented
690C4×C4⋊C4C2313yescomplemented
691C4×C4⋊C4C2313yescomplemented
692C4×C4⋊C4C2313yescomplemented
693C4×C4⋊C4C2313yescomplemented
694C4×C4⋊C4C2313yescomplemented
695C4×C4⋊C4C2313yescomplemented
696C4×C22⋊C4C2313yes—
697C4×C22⋊C4C2313yes—
698C4×C22⋊C4C2313yes—
699C4×C22⋊C4C2313yes—
700C4×C22⋊C4C2313yes—
701C4×C22⋊C4C2313yes—
702C4×C22⋊C4C2313yes—
703C4×C22⋊C4C2313yes—
704C4×C22⋊C4C2313yes—
705C4×C22⋊C4C2313yes—
706C4×C22⋊C4C2313yes—
707C4×C22⋊C4C2313yes—
708C4×C22⋊C4C2313yes—
709C4×C22⋊C4C2313yes—
710C4×C22⋊C4C2313yescomplemented
711C4×C22⋊C4C2313yescomplemented
712#376C2313yescomplemented
713#376C2313yescomplemented
714#376C2311yescharacteristic, complemented
715C2×#95C2313yes—
716C2×#95C2313yes—
717C2×#95C2313yes—
718C2×#95C2311yescharacteristic
719C2×#95C2311yescharacteristic, complemented
720C25—46no—
721C25—46no—
722C25—81no—
723C25C2413yes—
724C25C2413yes—
725C25C2411yescharacteristic
726C22×Q8—46no—
727C22×Q8C2413yes—
728C22×Q8C2413yes—
729C22×Q8C2413yes—
730C22×Q8C2411yescharacteristic
731C22×D4C2411yescharacteristic
732C22×D4C2413yes—
733C22×D4C2413yes—
734C23×C4C2413yes—
735C23×C4C2413yes—
736C23×C4C2413yes—
737C23×C4C2413yes—
738C23×C4C2413yes—
739C23×C4C2413yes—
740C23×C4C2413yes—
741C23×C4C2413yes—
742C23×C4C2413yes—
743#126—46no—
744#126—46no—
745#126—46no—
746#126—83no—
747#126—81no—
748#126—81no—
749#124—83no—
750#123—46no—
751#123—46no—
752C22⋊Q8—46no—
753C22⋊Q8—46no—
754C22⋊Q8—46no—
755C22⋊Q8—46no—
756C22⋊Q8—83no—
757#120—46no—
758#120—46no—
759#120—81no—
760C4×Q8—83no—
761C4×Q8—83no—
762C4×D4—46no—
763C4×D4—46no—
764#117—46no—
765#117—46no—
766#117—46no—
767#117—83no—
768C2×C4⋊C4—46no—
769C2×C4⋊C4C2413yes—
770C2×C4⋊C4C2413yes—
771C2×C4⋊C4C2413yes—
772C2×C4⋊C4C2413yes—
773C2×C4⋊C4C2413yes—
774C2×C4⋊C4C2413yes—
775C2×C4⋊C4C2413yes—
776C2×C4⋊C4C2413yes—
777C2×C4⋊C4C2413yes—
778C2×C4⋊C4C2413yes—
779C2×C4⋊C4C2413yes—
780C2×C4⋊C4C2413yes—
781C2×C4⋊C4C2413yes—
782C2×C4⋊C4C2413yes—
783C2×C4⋊C4C2413yes—
784C2×C4⋊C4C2413yes—
785C2×C4⋊C4C2413yes—
786C2×C4⋊C4C2413yes—
787C2×C4⋊C4C2413yes—
788C2×C4⋊C4C2413yes—
789C2×C4⋊C4C2413yes—
790C2×C4⋊C4C2413yes—
791C2×C4⋊C4C2413yes—
792C2×C4⋊C4C2413yes—
793C2×C4⋊C4C2413yes—
794C2×C4⋊C4C2413yes—
795C2×C4⋊C4C2413yes—
796C2×C4⋊C4C2413yes—
797C2×C4⋊C4C2413yes—
798C2×C4⋊C4C2413yes—
799C2×C4⋊C4C2413yes—
800C2×C4⋊C4C2413yes—
801C2×C4⋊C4C2413yes—
802C2×C4⋊C4C2413yes—
803C2×C4⋊C4C2413yes—
804C2×C4⋊C4C2413yes—
805C2×C4⋊C4C2413yes—
806C2×C4⋊C4C2413yes—
807C2×C4⋊C4C2413yes—
808C2×C4⋊C4C2413yes—
809C2×C4⋊C4C2413yes—
810C2×C4⋊C4C2413yes—
811C2×C4⋊C4C2413yes—
812C2×C4⋊C4C2413yes—
813C2×C4⋊C4C2413yes—
814C2×C22⋊C4—46no—
815C2×C22⋊C4—46no—
816C2×C22⋊C4—46no—
817C2×C22⋊C4—46no—
818C2×C22⋊C4—46no—
819C2×C22⋊C4—46no—
820C2×C22⋊C4—46no—
821C2×C22⋊C4—46no—
822C2×C22⋊C4—46no—
823C2×C22⋊C4—46no—
824C2×C22⋊C4—83no—
825C2×C22⋊C4—83no—
826C2×C22⋊C4C2413yes—
827C2×C22⋊C4C2413yes—
828C2×C22⋊C4C2413yes—
829C2×C22⋊C4C2413yes—
830C2×C22⋊C4C2413yes—
831C2×C22⋊C4C2413yes—
832C2×C22⋊C4C2413yes—
833C2×C22⋊C4C2413yes—
834C2×C22⋊C4C2413yes—
835C2×C22⋊C4C2413yes—
836C2×C22⋊C4C2413yes—
837C2×C22⋊C4C2413yes—
838C2×C22⋊C4C2413yes—
839C2×C22⋊C4C2413yes—
840C2×C22⋊C4C2413yes—
841C2×C22⋊C4C2413yes—
842C2×C22⋊C4C2413yes—
843C2×C22⋊C4C2413yes—
844C2×C22⋊C4C2413yes—
845C2×C22⋊C4C2413yes—
846C2×C22⋊C4C2413yes—
847C2×C22⋊C4C2413yes—
848C2×C22⋊C4C2413yes—
849C2×C22⋊C4C2413yes—
850C2×C22⋊C4C2413yes—
851C2×C22⋊C4C2413yes—
852C2×C22⋊C4C2413yes—
853C2×C22⋊C4C2413yes—
854C2×C22⋊C4C2413yes—
855C2×C22⋊C4C2413yes—
856C2×C22⋊C4C2413yes—
857C2×C22⋊C4C2413yes—
858C2×C22⋊C4C2413yes—
859C2×C22⋊C4C2413yes—
860C2×C22⋊C4C2413yes—
861C2×C22⋊C4C2413yes—
862C2×C22⋊C4C2413yes—
863C2×C22⋊C4C2413yes—
864C2×C22⋊C4C2413yes—
865C2×C22⋊C4C2413yes—
866C2×C22⋊C4C2413yes—
867C2×C22⋊C4C2413yes—
868C2×C22⋊C4C2413yes—
869C2×C22⋊C4C2413yes—
870C2×C22⋊C4C2413yes—
871C2×C22⋊C4C2413yes—
872C2×C22⋊C4C2413yes—
873C2×C22⋊C4C2413yes—
874C2×C22⋊C4C2413yes—
875C2×C22⋊C4C2413yes—
876C2×C22⋊C4C2413yes—
877C2×C22⋊C4C2413yes—
878C2×C22⋊C4C2413yes—
879C2×C22⋊C4C2413yes—
880C2×C22⋊C4C2413yes—
881C2×C22⋊C4C2413yes—
882C2×C22⋊C4C2413yes—
883C2×C22⋊C4C2413yes—
884C2×C22⋊C4C2413yes—
885C2×C22⋊C4C2413yes—
886C2×C22⋊C4C2413yes—
887C2×C22⋊C4C2413yes—
888C2×C42—81no—
889C2×C42—81no—
890C2×C42C2413yes—
891C2×C42C2413yes—
892C2×C42C2413yes—
893C2×C42C2413yes—
894C2×C42C2413yes—
895C2×C42C2413yes—
896C2×C42C2413yes—
897C2×C42C2413yes—
898C2×C42C2413yes—
899C2×C42C2413yes—
900C2×C42C2413yes—
901C2×C42C2413yes—
902C2×C42C2413yes—
903C2×C42C2413yes—
904C2×C42C2413yes—
905C2×C42C2413yes—
906C2×C42C2413yes—
907C2×C42C2411yescharacteristic
908C2×C42C2411yescharacteristic
909#95C2411yescharacteristic
910#95C2413yes—
911#95C2413yes—
912#95C2413yes—
913#95C2413yes—
914#95C2413yes—
915#95C2413yes—
916#95C2413yes—
917#95C2413yes—
918#95C2413yes—
919#95C2413yes—
920#95C2413yes—
921#95C2413yes—
922#95C2413yes—
923#95C2413yes—
924#95C2413yes—
925#95C2413yes—
926#95C2413yes—
927#95C2413yes—
928#95C2413yes—
929#95C2413yes—
930#95C2413yes—
931#95C2413yes—
932#95C2413yes—
933#95C2413yes—
934#95C2413yes—
935#95C2413yes—
936#95C2413yes—
937#95C2413yes—
938#95C2413yes—
939#95C2413yes—
940#95C2413yes—
941#95C2413yes—
942#95C2413yes—
943#95C2413yes—
944#95C2413yes—
945#95C2413yes—
946#95C2413yes—
947#95C2413yes—
948#95C2413yes—
949#95C2413yes—
950#95C2413yes—
951#95C2413yes—
952#95C2413yes—
953#95C2413yes—
954#95C2413yes—
955#95C2413yes—
956#95C2413yes—
957#95C2413yes—
958#95C2413yes—
959#95C2413yes—
960#95C2413yes—
961#95C2413yes—
962#95C2413yes—
963#95C2413yes—
964#95C2413yes—
965#95C2413yes—
966#95C2413yes—
967#95C2413yes—
968#95C2413yes—
969#95C2413yes—
970#95C2413yes—
971#95C2413yes—
972#95C2413yes—
973#95C2413yes—
974#95C2413yes—
975#95C2413yes—
976#95C2413yes—
977#95C2413yes—
978#95C2413yes—
979#95C2413yes—
980#95C2413yes—
981#95C2413yes—
982#95C2413yes—
983#95C2413yes—
984#95C2413yes—
985C24—26no—
986C24—26no—
987C24—26no—
988C24—26no—
989C24—26no—
990C24—26no—
991C24—43no—
992C24—43no—
993C24—43no—
994C24—43no—
995C24—43no—
996C24—43no—
997C24—41no—
998C24—43no—
999C24—43no—
1000C24—43no—
1001C24—43no—
1002C24—824no—
1003C24—88no—
1004C24—824no—
1005C24C2513yes—
1006C24C2511yescharacteristic
1007C24C2513yes—
1008C24C2511yescharacteristic
1009C2×Q8—43no—
1010C2×Q8—43no—
1011C2×Q8—43no—
1012C2×Q8—43no—
1013C2×Q8—43no—
1014C2×Q8—43no—
1015C2×Q8—43no—
1016C2×Q8—43no—
1017C2×Q8—43no—
1018C2×Q8—43no—
1019C2×Q8—88no—
1020C2×D4—26no—
1021C2×D4—26no—
1022C2×D4—43no—
1023C2×D4—43no—
1024C2×D4—43no—
1025C2×D4—43no—
1026C2×D4—43no—
1027C22×C4—26no—
1028C22×C4—26no—
1029C22×C4—26no—
1030C22×C4—26no—
1031C22×C4—26no—
1032C22×C4—26no—
1033C22×C4—26no—
1034C22×C4—26no—
1035C22×C4—43no—
1036C22×C4—43no—
1037C22×C4—43no—
1038C22×C4—43no—
1039C22×C4—43no—
1040C22×C4—43no—
1041C22×C4—43no—
1042C22×C4—43no—
1043C22×C4—43no—
1044C22×C4—43no—
1045C22×C4—43no—
1046C22×C4—43no—
1047C22×C4—43no—
1048C22×C4—43no—
1049C22×C4—43no—
1050C22×C4—43no—
1051C22×C4—43no—
1052C22×C4—43no—
1053C22×C4—43no—
1054C22×C4C2513yes—
1055C22×C4C2513yes—
1056C22×C4C2513yes—
1057C22×C4C2513yes—
1058C22×C4C2513yes—
1059C22×C4C2511yescharacteristic
1060C22×C4C2513yes—
1061C22×C4C2513yes—
1062C22×C4C2513yes—
1063C22×C4C2513yes—
1064C22×C4C2513yes—
1065C22×C4C2513yes—
1066C22×C4C2513yes—
1067C22×C4C2513yes—
1068C22×C4C2513yes—
1069C22×C4C2513yes—
1070C22×C4C2513yes—
1071C22×C4C2513yes—
1072C22×C4C2513yes—
1073C4⋊C4—43no—
1074C4⋊C4—43no—
1075C4⋊C4—43no—
1076C4⋊C4—43no—
1077C4⋊C4—43no—
1078C4⋊C4—43no—
1079C4⋊C4—43no—
1080C4⋊C4—43no—
1081C4⋊C4—43no—
1082C4⋊C4—43no—
1083C4⋊C4—43no—
1084C4⋊C4—43no—
1085C4⋊C4—43no—
1086C4⋊C4—43no—
1087C4⋊C4—43no—
1088C4⋊C4—43no—
1089C4⋊C4—43no—
1090C4⋊C4—43no—
1091C4⋊C4—43no—
1092C4⋊C4—43no—
1093C4⋊C4—43no—
1094C4⋊C4—43no—
1095C4⋊C4—43no—
1096C4⋊C4—43no—
1097C4⋊C4—43no—
1098C4⋊C4—43no—
1099C4⋊C4—43no—
1100C4⋊C4—43no—
1101C4⋊C4—43no—
1102C4⋊C4—43no—
1103C4⋊C4—43no—
1104C4⋊C4—43no—
1105C4⋊C4—43no—
1106C4⋊C4—43no—
1107C4⋊C4—43no—
1108C4⋊C4—43no—
1109C4⋊C4—43no—
1110C4⋊C4—43no—
1111C4⋊C4—43no—
1112C4⋊C4—43no—
1113C4⋊C4—43no—
1114C4⋊C4—43no—
1115C4⋊C4—43no—
1116C4⋊C4—43no—
1117C4⋊C4—43no—
1118C22⋊C4—26no—
1119C22⋊C4—26no—
1120C22⋊C4—26no—
1121C22⋊C4—26no—
1122C22⋊C4—26no—
1123C22⋊C4—26no—
1124C22⋊C4—26no—
1125C22⋊C4—26no—
1126C22⋊C4—26no—
1127C22⋊C4—26no—
1128C22⋊C4—26no—
1129C22⋊C4—26no—
1130C22⋊C4—26no—
1131C22⋊C4—26no—
1132C22⋊C4—43no—
1133C22⋊C4—43no—
1134C22⋊C4—43no—
1135C22⋊C4—43no—
1136C22⋊C4—43no—
1137C22⋊C4—43no—
1138C22⋊C4—43no—
1139C22⋊C4—43no—
1140C22⋊C4—43no—
1141C22⋊C4—43no—
1142C22⋊C4—43no—
1143C22⋊C4—43no—
1144C22⋊C4—43no—
1145C22⋊C4—43no—
1146C22⋊C4—43no—
1147C22⋊C4—43no—
1148C22⋊C4—43no—
1149C22⋊C4—43no—
1150C22⋊C4—43no—
1151C22⋊C4—43no—
1152C22⋊C4—43no—
1153C22⋊C4—43no—
1154C22⋊C4—43no—
1155C22⋊C4—43no—
1156C22⋊C4—43no—
1157C22⋊C4—43no—
1158C22⋊C4—43no—
1159C22⋊C4—43no—
1160C22⋊C4—43no—
1161C22⋊C4—43no—
1162C22⋊C4—43no—
1163C22⋊C4—43no—
1164C22⋊C4—43no—
1165C22⋊C4—43no—
1166C22⋊C4—43no—
1167C22⋊C4—43no—
1168C22⋊C4—43no—
1169C22⋊C4—43no—
1170C22⋊C4—43no—
1171C22⋊C4—43no—
1172C22⋊C4—43no—
1173C22⋊C4—43no—
1174C22⋊C4—43no—
1175C22⋊C4—43no—
1176C22⋊C4—43no—
1177C22⋊C4—43no—
1178C22⋊C4—43no—
1179C22⋊C4—43no—
1180C42—43no—
1181C42—43no—
1182C42—41no—
1183C42—41no—
1184C42—43no—
1185C42—43no—
1186C42—43no—
1187C42—43no—
1188C42—43no—
1189C42—43no—
1190C42—43no—
1191C42—43no—
1192C42—43no—
1193C42—43no—
1194C42—43no—
1195C42—43no—
1196C42—43no—
1197C42—43no—
1198C42—43no—
1199C23—23no—
1200C23—21no—
1201C23—23no—
1202C23—23no—
1203C23—23no—
1204C23—23no—
1205C23—23no—
1206C23—23no—
1207C23—23no—
1208C23—23no—
1209C23—23no—
1210C23—23no—
1211C23—23no—
1212C23—23no—
1213C23—23no—
1214C23—23no—
1215C23—21no—
1216C23—23no—
1217C23—412no—
1218C23—412no—
1219C23—412no—
1220C23—412no—
1221C23—412no—
1222C23—412no—
1223C23—86no—
1224C23—86no—
1225C23—86no—
1226C23—86no—
1227C23—86no—
1228C23—86no—
1229C23—86no—
1230C23—86no—
1231C23—82no—
1232C23—86no—
1233C23—86no—
1234C23—864no—
1235C23#58516yes—
1236C23#58516yes—
1237C23C2611yescharacteristic
1238Q8—86no—
1239Q8—86no—
1240Q8—86no—
1241Q8—82no—
1242D4—44no—
1243D4—86no—
1244D4—163no—
1245C2×C4—23no—
1246C2×C4—23no—
1247C2×C4—23no—
1248C2×C4—23no—
1249C2×C4—23no—
1250C2×C4—23no—
1251C2×C4—23no—
1252C2×C4—23no—
1253C2×C4—23no—
1254C2×C4—23no—
1255C2×C4—23no—
1256C2×C4—23no—
1257C2×C4—23no—
1258C2×C4—23no—
1259C2×C4—23no—
1260C2×C4—23no—
1261C2×C4—23no—
1262C2×C4—23no—
1263C2×C4—23no—
1264C2×C4—23no—
1265C2×C4—23no—
1266C2×C4—23no—
1267C2×C4—23no—
1268C2×C4—23no—
1269C2×C4—23no—
1270C2×C4—23no—
1271C2×C4—23no—
1272C2×C4—23no—
1273C2×C4—23no—
1274C2×C4—23no—
1275C2×C4—23no—
1276C2×C4—23no—
1277C2×C4—23no—
1278C2×C4—23no—
1279C2×C4—23no—
1280C2×C4—23no—
1281C2×C4—23no—
1282C2×C4—23no—
1283C2×C4—23no—
1284C2×C4—23no—
1285C2×C4—23no—
1286C2×C4—23no—
1287C2×C4—23no—
1288C2×C4—23no—
1289C2×C4—23no—
1290C2×C4—23no—
1291C2×C4—23no—
1292C2×C4—23no—
1293C2×C4—23no—
1294C2×C4—23no—
1295C2×C4—23no—
1296C2×C4—23no—
1297C2×C4—23no—
1298C2×C4—23no—
1299C2×C4—23no—
1300C2×C4—412no—
1301C2×C4—86no—
1302C2×C4—86no—
1303C2×C4—86no—
1304C2×C4—86no—
1305C2×C4—86no—
1306C2×C4—163no—
1307C2×C4—163no—
1308C2×C4—163no—
1309C22—26no—
1310C22—26no—
1311C22—26no—
1312C22—26no—
1313C22—26no—
1314C22—43no—
1315C22—43no—
1316C22—43no—
1317C22—43no—
1318C22—41no—
1319C22—43no—
1320C22—43no—
1321C22—43no—
1322C22—43no—
1323C22—43no—
1324C22—43no—
1325C22—43no—
1326C22—43no—
1327C22—43no—
1328C22—824no—
1329C22—824no—
1330C22—88no—
1331C22#356814yes—
1332C22C2×#58513yes—
1333C22C2×#58513yes—
1334C22H(7,𝔽2)11yescharacteristic
1335C4—43no—
1336C4—43no—
1337C4—41no—
1338C4—43no—
1339C4—43no—
1340C4—43no—
1341C4—43no—
1342C4—43no—
1343C4—43no—
1344C4—43no—
1345C4—43no—
1346C4—43no—
1347C4—43no—
1348C4—43no—
1349C4—43no—
1350C4—43no—
1351C4—43no—
1352C4—43no—
1353C4—43no—
1354C2—24no—
1355C2—46no—
1356C2—81no—
1357C2—83no—
1358C2C2×#356811yescharacteristic
1359C2#6293313yes—
1360C2#6302613yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2846C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59423C2semidirect
2. #59422C2semidirect
3. #59192C2semidirect
4. #58849C2semidirect
5. #58460C2semidirect
6. #57851C2semidirect
7. #57754C2semidirect
8. #57594C2semidirect
9. #55438C2semidirect
10. #52511C2semidirect
11. C2×#2736C2semidirect
12. #47054C2semidirect
13. #46954C2semidirect
14. #44786C2semidirect
15. #44470C2semidirect
16. #43631C2semidirect
17. #42318C2semidirect
18. #42244C2semidirect
19. #40764C2semidirect
20. #38547C2semidirect
21. #38134C2semidirect
23. #35848C2semidirect
24. #2852C22semidirect
25. #2852C22semidirect
27. #2838C22semidirect
28. #2838C22semidirect
29. #2836C22semidirect
30. #2836C22semidirect
31. #2834C22semidirect
32. #2832C22semidirect
33. #2831C22semidirect
34. #2831C22semidirect
35. #2831C22semidirect
36. #2817C22semidirect
37. #2808C22semidirect
38. #2804C22semidirect
39. #2801C22semidirect
40. #2798C22semidirect
41. #2798C22semidirect
42. #2798C22semidirect
43. #2796C22semidirect
44. #2788C22semidirect
45. #2788C22semidirect
46. #2787C22semidirect
47. #2783C22semidirect
48. #2779C22semidirect
49. #2777C22semidirect
50. #2777C22semidirect
51. #2777C22semidirect
52. #2777C22semidirect
53. #2775C22semidirect
54. #2775C22semidirect
55. #2773C22semidirect
56. #2772C22semidirect
57. #2771C22semidirect
58. #2770C22semidirect
59. #2770C22semidirect
60. #2764C22semidirect
61. #2764C22semidirect
62. #2763C22semidirect
63. #2759C22semidirect
64. #2759C22semidirect
65. #2759C22semidirect
66. #2759C22semidirect
67. #2754C22semidirect
68. #2754C22semidirect
69. #2751C22semidirect
70. #2751C22semidirect
71. #2745C22semidirect
72. #2745C22semidirect
73. #2745C22semidirect
74. #2742C22semidirect
75. #2741C22semidirect
76. #2739C22semidirect
77. #2737C22semidirect
92. #2723C22semidirect
93. #2722C22semidirect
94. #2715C22semidirect
96. #2689C22semidirect
97. #2689C22semidirect
98. #2689C22semidirect
99. #2687C22semidirect
103. #2665C22semidirect
104. #2654C22semidirect
105. #2654C22semidirect
106. #2653C22semidirect
107. #2653C22semidirect
108. #2651C22semidirect
109. #2650C22semidirect
110. #2650C22semidirect
111. #2649C22semidirect
112. #2646C22semidirect
113. #2632C22semidirect
116. #2614C22semidirect
117. #2607C22semidirect
118. #2604C22semidirect
119. #2599C22semidirect
120. #2596C22semidirect
121. #2596C22semidirect
122. #2596C22semidirect
123. #2594C22semidirect
124. #2594C22semidirect
125. #2594C22semidirect
126. #2589C22semidirect
127. #2589C22semidirect
128. #2583C22semidirect
129. #2583C22semidirect
130. #2578C22semidirect
131. #2577C22semidirect
132. #2574C22semidirect
133. #2573C22semidirect
134. #2573C22semidirect
135. #2573C22semidirect
136. #2572C22semidirect
141. #2553C22semidirect
143. #2532C22semidirect
144. #2532C22semidirect
145. #2532C22semidirect
146. #2531C22semidirect
147. #2530C22semidirect
148. #2529C22semidirect
149. #2529C22semidirect
150. #2527C22semidirect
151. #2527C22semidirect
152. #2525C22semidirect
153. #2525C22semidirect
154. #2525C22semidirect
155. #2525C22semidirect
156. #2523C22semidirect
157. #2521C22semidirect
158. #2516C22semidirect
159. #2510C22semidirect
160. #2495C22semidirect
161. #2494C22semidirect
162. #2493C22semidirect
163. #2493C22semidirect
164. #2493C22semidirect
165. #2493C22semidirect
166. #2488C22semidirect
167. #2487C22semidirect
185. #2479C22semidirect
186. #2478C22semidirect
187. #2478C22semidirect
190. #2469C22semidirect
191. #2469C22semidirect
192. #2469C22semidirect
193. #2468C22semidirect
194. #2465C22semidirect
195. #2465C22semidirect
196. #2448C22semidirect
197. #2438C22semidirect
198. #2438C22semidirect
199. #2438C22semidirect
204. #2421C22semidirect
205. #2419C22semidirect
206. #2419C22semidirect
211. #2401C22semidirect
212. #2395C22semidirect
215. #2373C22semidirect
216. #2373C22semidirect
217. #2362C22semidirect
218. #2359C22semidirect
220. #2347C22semidirect
221. #2345C22semidirect
222. #2343C22semidirect
223. #2343C22semidirect
231. #2335C22semidirect
232. #2334C22semidirect
233. #2323C22semidirect
235. #2319C22semidirect
237. #2310C22semidirect
238. C4×C22⋊Q8C22semidirect
239. C4×C22⋊Q8C22semidirect
244. #2275C22semidirect
251. C2×#126C23semidirect
252. C2×#126C23semidirect
264. C2×C4×Q8C23semidirect
265. C2×C4×Q8C23semidirect
287. #401C23semidirect
288. #401C23semidirect
289. #401C23semidirect
290. #401C23semidirect
291. #400C23semidirect
292. #400C23semidirect
293. #400C23semidirect
294. #400C23semidirect
295. #400C23semidirect
296. #400C23semidirect
297. #400C23semidirect
298. #400C23semidirect
299. #400C23semidirect
300. #400C23semidirect
301. #400C23semidirect
302. #400C23semidirect
303. #400C23semidirect
304. #400C23semidirect
305. #400C23semidirect
306. #400C23semidirect
307. #400C23semidirect
308. #400C23semidirect
309. #400C23semidirect
310. #400C23semidirect
311. #400C23semidirect
312. #400C23semidirect
313. #400C23semidirect
314. #400C23semidirect
323. #399C23semidirect
324. #399C23semidirect
325. #398C23semidirect
326. #398C23semidirect
327. #398C23semidirect
328. #398C23semidirect
329. #398C23semidirect
330. #398C23semidirect
331. #398C23semidirect
332. #398C23semidirect
333. #398C23semidirect
334. #398C23semidirect
335. #398C23semidirect
336. #398C23semidirect
337. #398C23semidirect
338. #398C23semidirect
339. #398C23semidirect
380. #397C23semidirect
381. #397C23semidirect
382. #397C23semidirect
397. #395C23semidirect
398. #395C23semidirect
399. #395C23semidirect
400. #395C23semidirect
401. #395C23semidirect
402. #395C23semidirect
403. #395C23semidirect
404. #395C23semidirect
405. #395C23semidirect
432. #393C23semidirect
433. #393C23semidirect
434. #393C23semidirect
435. #391C23semidirect
436. #391C23semidirect
437. #391C23semidirect
438. #391C23semidirect
439. #391C23semidirect
440. #391C23semidirect
441. #391C23semidirect
442. #391C23semidirect
443. #391C23semidirect
444. #391C23semidirect
445. #391C23semidirect
446. #391C23semidirect
447. #391C23semidirect
448. #391C23semidirect
453. #389C23semidirect
454. #389C23semidirect
455. #389C23semidirect
456. #389C23semidirect
457. #389C23semidirect
458. #389C23semidirect
459. #389C23semidirect
460. #389C23semidirect
461. #389C23semidirect
462. #389C23semidirect
463. #389C23semidirect
464. #389C23semidirect
465. #389C23semidirect
466. #389C23semidirect
467. #389C23semidirect
468. #389C23semidirect
469. #389C23semidirect
470. #389C23semidirect
545. #388C23semidirect
546. #388C23semidirect
547. #388C23semidirect
548. #388C23semidirect
549. #388C23semidirect
550. #388C23semidirect
551. #387C23semidirect
552. #387C23semidirect
553. #387C23semidirect
554. #387C23semidirect
555. #387C23semidirect
556. #387C23semidirect
557. #387C23semidirect
558. #387C23semidirect
559. #387C23semidirect
560. #387C23semidirect
561. #387C23semidirect
562. #387C23semidirect
563. #387C23semidirect
564. #387C23semidirect
565. #387C23semidirect
566. #387C23semidirect
567. #387C23semidirect
568. #387C23semidirect
569. #387C23semidirect
570. #387C23semidirect
571. #387C23semidirect
572. #387C23semidirect
573. #387C23semidirect
574. #387C23semidirect
575. #387C23semidirect
576. #387C23semidirect
577. #387C23semidirect
578. #387C23semidirect
579. #387C23semidirect
580. #387C23semidirect
581. #387C23semidirect
582. #387C23semidirect
583. #387C23semidirect
584. #387C23semidirect
585. #387C23semidirect
586. #387C23semidirect
587. #387C23semidirect
588. #387C23semidirect
589. #387C23semidirect
590. #387C23semidirect
627. #385C23semidirect
628. #385C23semidirect
629. #383C23semidirect
630. #383C23semidirect
631. #383C23semidirect
632. #383C23semidirect
633. #383C23semidirect
634. #383C23semidirect
635. #383C23semidirect
636. #383C23semidirect
637. #382C23semidirect
638. #382C23semidirect
639. #382C23semidirect
651. #381C23semidirect
663. #380C23semidirect
664. #380C23semidirect
684. C4×C4⋊C4C23semidirect
685. C4×C4⋊C4C23semidirect
686. C4×C4⋊C4C23semidirect
687. C4×C4⋊C4C23semidirect
688. C4×C4⋊C4C23semidirect
689. C4×C4⋊C4C23semidirect
690. C4×C4⋊C4C23semidirect
691. C4×C4⋊C4C23semidirect
692. C4×C4⋊C4C23semidirect
693. C4×C4⋊C4C23semidirect
694. C4×C4⋊C4C23semidirect
695. C4×C4⋊C4C23semidirect
710. C4×C22⋊C4C23semidirect
711. C4×C22⋊C4C23semidirect
712. #376C23semidirect
713. #376C23semidirect
714. #376C23semidirect
719. C2×#95C23semidirect

Maximal subgroups

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

subgroupindex
#594232
#594222
#591922
#588492
#584602
#578512
#577542
#575942
#554382
#525112
C2×#27362
#470542
#469542
#447862
#444702
#436312
#423182
#422442
#407642
#385472
#381342
#378482
#358482