Finite Group Databasebeta

← #8634229

Subgroups — #8634229

Order 512.

4818 conjugacy classes of subgroups.

The subgroup lattice has 1503 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59398C212yesmaximal, complemented
2#54960C214yesmaximal, complemented
3#54045C214yesmaximal, complemented
4#53811C212yesmaximal, complemented
5#52960C211yesmaximal, characteristic, complemented
6#51016C214yesmaximal, complemented
7#49968C214yesmaximal, complemented
8#47851C214yesmaximal, complemented
9#46812C212yesmaximal, complemented
10#46598C214yesmaximal, complemented
11#45674C212yesmaximal, complemented
12#45478C211yesmaximal, characteristic, complemented
13#45419C211yesmaximal, characteristic, complemented
14#45181C212yesmaximal, complemented
15#45115C212yesmaximal, complemented
16#42944C211yesmaximal, characteristic, complemented
17#42872C212yesmaximal, complemented
18#40943C212yesmaximal, complemented
19#39722C211yesmaximal, characteristic, complemented
20#39212C212yesmaximal, complemented
21#38936C212yesmaximal, complemented
22#38909C212yesmaximal, complemented
23#37758C212yesmaximal, complemented
24#37348C212yesmaximal, complemented
25#36108C212yesmaximal, complemented
26#35941C211yesmaximal, characteristic, complemented
27#35548C212yesmaximal, complemented
28#35005C212yesmaximal, complemented
29#34754C211yesmaximal, characteristic, complemented
30C2×#560C2212yes—
31C2×#553C2211yescharacteristic
32C2×#550C2211yescharacteristic, complemented
33C2×#544C2211yescharacteristic, complemented
34C2×#538C2214yes—
35C2×#529C2212yes—
36C22×C22⋊Q8C2211yescharacteristic
37#2857C2212yes—
38#2856C2212yes—
39#2855C2212yes—
40#2850C2212yes—
41#2847C2212yes—
42#2847C2211yescharacteristic
43#2839C2214yescomplemented
44#2832C2214yescomplemented
45#2830C2212yescomplemented
46#2826C2212yes—
47#2824C2214yescomplemented
48#2821C2212yescomplemented
49#2812C2212yes—
50#2804C2214yescomplemented
51#2803C2214yescomplemented
52#2799C2214yescomplemented
53#2797C2214yes—
54#2785C2214yescomplemented
55#2784C2212yescomplemented
56#2781C2214yescomplemented
57#2774C2214yescomplemented
58#2771C2214yescomplemented
59#2770C2214yescomplemented
60#2765C2214yescomplemented
61#2764C2212yescomplemented
62#2756C2214yes—
63#2755C2214yescomplemented
64#2753C2214yescomplemented
65#2751C2214yescomplemented
66#2748C2214yescomplemented
67#2747C2214yescomplemented
68#2741C2214yescomplemented
69#2740C2214yescomplemented
70#2740C2214yescomplemented
71#2725C2214yescomplemented
72#2723C2214yes—
73#2723C2214yescomplemented
74#2722C2212yes—
75#2722C2214yes—
76#2711C2214yes—
77#2711C2214yescomplemented
78#2709C2212yes—
79#2709C2214yes—
80#2708C2214yes—
81#2701C2214yes—
82#2699C2214yes—
83#2698C2214yes—
84#2696C2214yes—
85#2695C2214yes—
86#2693C2212yes—
87#2693C2212yes—
88#2691C2214yes—
89#2691C2214yescomplemented
90#2691C2214yescomplemented
91#2690C2214yes—
92#2689C2214yes—
93#2688C2214yes—
94#2688C2214yes—
95#2687C2214yescomplemented
96#2686C2214yes—
97#2686C2214yes—
98#2681C2214yes—
99#2674C2214yes—
100#2672C2214yes—
101#2671C2214yes—
102#2671C2214yes—
103#2671C2214yes—
104#2664C2212yescomplemented
105#2661C2212yescomplemented
106#2653C2214yescomplemented
107#2649C2214yescomplemented
108#2648C2214yes—
109#2641C2211yescharacteristic, complemented
110#2640C2212yescomplemented
111#2639C2214yes—
112#2633C2212yes—
113#2624C2214yescomplemented
114#2624C2211yescharacteristic, complemented
115#2620C2212yescomplemented
116#2617C2212yes—
117#2617C2214yes—
118#2607C2212yescomplemented
119#2597C2214yescomplemented
120#2584C2211yescharacteristic, complemented
121#2582C2212yescomplemented
122#2578C2214yes—
123#2578C2214yes—
124#2572C2214yescomplemented
125#2560C2214yes—
126#2559C2214yes—
127#2559C2214yes—
128#2559C2214yes—
129#2559C2214yescomplemented
130#2557C2214yes—
131#2557C2214yes—
132#2557C2214yes—
133#2553C2214yes—
134#2553C2214yes—
135#2553C2214yes—
136#2552C2212yescomplemented
137#2550C2212yescomplemented
138#2548C2212yescomplemented
139#2547C2212yes—
140#2544C2212yescomplemented
141#2544C2212yescomplemented
142#2543C2212yes—
143#2541C2211yescharacteristic
144#2540C2212yes—
145#2537C2212yes—
146#2523C2211yescharacteristic
147#2523C2212yes—
148#2518C2212yes—
149#2518C2214yescomplemented
150#2517C2211yescharacteristic
151#2517C2214yescomplemented
152#2515C2214yescomplemented
153#2511C2212yescomplemented
154#2511C2212yescomplemented
155#2510C2212yes—
156#2508C2212yescomplemented
157#2507C2212yescomplemented
158#2505C2212yes—
159#2505C2214yescomplemented
160#2504C2212yes—
161#2504C2211yescharacteristic, complemented
162#2496C2212yes—
163#2496C2212yes—
164#2496C2212yes—
165#2495C2214yescomplemented
166#2493C2212yes—
167#2491C2212yes—
168#2491C2212yes—
169#2489C2212yes—
170#2489C2212yes—
171#2488C2212yes—
172#2488C2214yes—
173#2487C2212yes—
174#2486C2214yes—
175#2486C2211yescharacteristic
176#2483C2211yescharacteristic
177#2481C2214yes—
178#2477C2214yes—
179#2477C2214yescomplemented
180#2473C2214yescomplemented
181#2468C2214yes—
182#2466C2214yes—
183#2464C2214yes—
184#2460C2214yes—
185#2460C2214yes—
186#2459C2214yes—
187#2454C2212yescomplemented
188#2454C2212yescomplemented
189#2451C2212yescomplemented
190#2450C2214yes—
191#2447C2212yescomplemented
192#2443C2214yes—
193#2442C2212yes—
194#2439C2214yescomplemented
195#2437C2211yescharacteristic
196#2436C2212yes—
197#2436C2211yescharacteristic
198#2430C2212yescomplemented
199#2428C2212yes—
200#2428C2212yes—
201#2428C2214yes—
202#2428C2212yes—
203#2428C2212yescomplemented
204#2427C2214yes—
205#2427C2212yes—
206#2427C2212yes—
207#2427C2212yescomplemented
208#2426C2212yes—
209#2423C2212yescomplemented
210#2422C2212yes—
211#2422C2212yes—
212#2422C2212yes—
213#2421C2212yes—
214#2420C2214yes—
215#2420C2214yes—
216#2419C2214yes—
217#2416C2212yes—
218#2416C2214yes—
219#2415C2212yes—
220#2412C2214yes—
221#2412C2212yes—
222#2409C2211yescharacteristic
223#2407C2214yes—
224#2401C2212yes—
225#2398C2211yescharacteristic
226#2395C2211yescharacteristic
227#2388C2212yes—
228#2382C2214yescomplemented
229#2367C2212yescomplemented
230#2363C2212yescomplemented
231#2361C2212yes—
232#2360C2212yescomplemented
233#2358C2214yes—
234#2357C2212yescomplemented
235#2352C2214yes—
236D4×C4⋊C4C2212yescomplemented
237#2347C2211yescharacteristic, complemented
238#2345C2211yescharacteristic
239#2345C2214yescomplemented
240Q8×C22⋊C4C2212yes—
241#2333C2214yescomplemented
242#2330C2212yescomplemented
243#2326C2212yescomplemented
244#2325C2214yes—
245#2321C2212yes—
246#2320C2212yescomplemented
247#2319C2212yescomplemented
248#2311C2214yescomplemented
249C4×C22⋊Q8C2212yes—
250C4×C22⋊Q8C2212yes—
251C4×#123C2212yes—
252C4×#121C2212yes—
253C4×#121C2212yes—
254C4×#120C2211yescharacteristic
255#2290C2212yes—
256#2283C2212yes—
257#2275C2211yescharacteristic, complemented
258C2×C4×C22⋊C4C2212yes—
259C22×#41C2312yes—
260C23×Q8C2311yescharacteristic
261C24×C4C2311yescharacteristic
262#560—48no—
263#553—44no—
264#550—44no—
265#544—44no—
266#538—416no—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2312yes—
269C2×#127C2312yes—
270C2×#127C2311yescharacteristic
271C2×#127C2312yes—
272#529—48no—
273C2×#126C2314yes—
274C2×#126C2312yes—
275C2×#126C2314yes—
276C2×#126C2314yes—
277C2×#126C2314yes—
278C2×#125C2312yes—
279C2×#125C2311yescharacteristic
280C2×#125C2312yes—
281C2×#125C2314yes—
282C2×#124C2312yes—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287C2×#123C2312yes—
288C2×#123C2314yes—
289C2×#123C2312yes—
290C2×#123C2314yes—
291C2×#123C2312yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×C22⋊Q8—44no—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2314yes—
302C2×#121C2314yes—
303C2×#121C2314yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2311yescharacteristic
309C2×#121C2314yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2311yescharacteristic
314C2×#121C2312yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#120C2312yes—
321C2×#120C2314yes—
322C2×#120C2311yescharacteristic
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2312yes—
338C2×#117C2311yescharacteristic
339C2×#117C2314yes—
340C2×#117C2311yescharacteristic
341C22×C4⋊C4C2311yescharacteristic
342C22×C4⋊C4C2314yes—
343C22×C4⋊C4C2312yes—
344C22×C4⋊C4C2311yescharacteristic
345C22×C22⋊C4C2312yes—
346C22×C22⋊C4C2312yes—
347C22×C22⋊C4C2312yes—
348C22×C42C2312yes—
349C22×C42C2312yes—
350#401C2312yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2312yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2311yescharacteristic
364#400C2312yes—
365#400C2312yes—
366#400C2312yes—
367#400C2314yes—
368#399C2314yes—
369#399C2311yescharacteristic
370#399C2314yes—
371#399C2312yes—
372#399C2314yes—
373#399C2314yes—
374#398C2314yes—
375#398C2311yescharacteristic
376#398C2312yes—
377#398C2314yes—
378#398C2314yes—
379#398C2312yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#397C2314yes—
389#397C2312yes—
390#397C2312yes—
391#397C2312yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2312yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2311yescharacteristic
408#397C2314yes—
409#397C2311yescharacteristic
410#397C2311yescharacteristic
411#397C2312yes—
412#397C2312yes—
413#397C2312yes—
414#397C2312yes—
415#397C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2312yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#395C2314yes—
424#395C2312yes—
425#395C2314yes—
426#395C2312yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2312yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2312yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2314yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2312yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2311yescharacteristic
466#393C2314yes—
467#393C2311yescharacteristic
468#392C2312yes—
469#392C2312yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#390C2314yes—
489#390C2314yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2312yes—
538#388C2314yes—
539#388C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#388C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2312yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2312yes—
568#387C2314yes—
569#387C2314yes—
570#387C2312yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2312yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2312yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2312yes—
602#386C2312yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2312yes—
607#386C2312yes—
608#386C2312yes—
609#386C2314yes—
610#386C2312yes—
611#386C2311yescharacteristic
612#385C2314yes—
613#385C2312yes—
614#385C2312yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2312yes—
630#385C2314yes—
631#385C2312yes—
632#385C2312yes—
633#385C2312yes—
634#385C2312yes—
635#385C2311yescharacteristic
636#384C2312yes—
637#384C2312yes—
638#384C2312yes—
639#383C2312yes—
640#383C2312yes—
641#383C2314yes—
642#383C2312yes—
643#382C2314yes—
644#382C2312yes—
645#382C2314yes—
646#382C2314yes—
647#382C2314yes—
648#382C2312yes—
649#382C2312yes—
650#381C2314yes—
651#381C2314yes—
652#381C2314yes—
653#381C2314yes—
654#381C2312yes—
655#381C2312yes—
656#381C2312yes—
657#381C2312yes—
658#380C2314yes—
659#380C2314yes—
660#380C2314yes—
661#380C2314yes—
662#380C2314yes—
663#380C2312yes—
664#380C2314yes—
665#380C2314yes—
666#380C2312yes—
667#380C2312yes—
668#380C2311yescharacteristic
669#380C2312yes—
670#380C2312yes—
671#380C2314yes—
672#380C2312yes—
673#380C2314yes—
674#380C2314yes—
675#380C2311yescharacteristic
676#380C2314yes—
677#380C2312yes—
678#380C2312yes—
679#379C2311yescharacteristic
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2311yescharacteristic
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2311yescharacteristic
704C4×C22⋊C4C2311yescharacteristic
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714#376C2312yes—
715#376C2311yescharacteristic
716C2×#95C2312yes—
717C2×#95C2312yes—
718C2×#95C2312yes—
719C25C2411yescharacteristic
720C2×#41—44no—
721C2×#41—48no—
722C22×Q8—42no—
723C22×Q8—44no—
724C22×Q8C2412yes—
725C22×Q8C2411yescharacteristic
726C22×Q8C2414yes—
727C22×Q8C2412yes—
728C22×D4C2411yescharacteristic
729C22×D4C2412yes—
730C22×D4C2414yes—
731C22×D4C2414yes—
732C22×D4C2412yes—
733C22×D4C2414yes—
734C22×D4C2412yes—
735C22×D4C2411yescharacteristic
736C22×D4C2414yes—
737C22×D4C2414yes—
738C22×D4C2414yes—
739C22×D4C2412yes—
740C22×D4C2412yes—
741C22×D4C2414yes—
742C22×D4C2412yes—
743C23×C4—42no—
744C23×C4—44no—
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2412yes—
748C23×C4C2414yes—
749C23×C4C2412yes—
750C23×C4C2412yes—
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2411yescharacteristic
757C23×C4C2414yes—
758C23×C4C2414yes—
759C23×C4C2412yes—
760C23×C4C2414yes—
761C23×C4C2412yes—
762C4⋊Q8—44no—
763C4⋊Q8—44no—
764#127—44no—
765#127—42no—
766#127—44no—
767#126—44no—
768#126—48no—
769#126—48no—
770#126—48no—
771#126—48no—
772#125—28no—
773#125—44no—
774#125—42no—
775#125—48no—
776#124—44no—
777#124—44no—
778#124—44no—
779#124—48no—
780#124—48no—
781#123—44no—
782#123—48no—
783#123—48no—
784#123—48no—
785#123—48no—
786#123—44no—
787#123—44no—
788C22⋊Q8—28no—
789C22⋊Q8—48no—
790C22⋊Q8—48no—
791C22⋊Q8—48no—
792C22⋊Q8—44no—
793C22⋊Q8—44no—
794C22⋊Q8—44no—
795#121—48no—
796#121—44no—
797#121—44no—
798#121—48no—
799#121—48no—
800#121—48no—
801#121—48no—
802#121—48no—
803#121—48no—
804#121—48no—
805#121—44no—
806#121—44no—
807#121—44no—
808#121—44no—
809#121—44no—
810#121—42no—
811#121—42no—
812#121—48no—
813#120—28no—
814#120—216no—
815#120—24no—
816C4×Q8—42no—
817C4×Q8—44no—
818C4×Q8—44no—
819C4×D4—28no—
820C4×D4—24no—
821C4×D4—44no—
822C4×D4—44no—
823C4×D4—44no—
824C4×D4—44no—
825C4×D4—44no—
826C4×D4—42no—
827C4×D4—48no—
828C4×D4—48no—
829C4×D4—48no—
830C4×D4—48no—
831#117—24no—
832#117—42no—
833#117—48no—
834C2×C4⋊C4—24no—
835C2×C4⋊C4—48no—
836C2×C4⋊C4—44no—
837C2×C4⋊C4—42no—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2411yescharacteristic
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C22⋊C4—28no—
888C2×C22⋊C4—44no—
889C2×C22⋊C4—44no—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2411yescharacteristic
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2411yescharacteristic
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2411yescharacteristic
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2411yescharacteristic
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C42—44no—
951C2×C42—44no—
952C2×C42C2412yes—
953C2×C42C2412yes—
954C2×C42C2411yescharacteristic
955C2×C42C2412yes—
956C2×C42C2412yes—
957C2×C42C2412yes—
958C2×C42C2412yes—
959C2×C42C2412yes—
960C2×C42C2414yes—
961C2×C42C2414yes—
962C2×C42C2414yes—
963C2×C42C2414yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2412yes—
967C2×C42C2412yes—
968C2×C42C2412yes—
969C2×C42C2412yes—
970#95C2411yescharacteristic
971#95C2412yes—
972#95C2412yes—
973#95C2412yes—
974#95C2412yes—
975#95C2412yes—
976#95C2412yes—
977#95C2412yes—
978#95C2412yes—
979#95C2414yes—
980#95C2412yes—
981#95C2411yescharacteristic
982#95C2412yes—
983#95C2412yes—
984#95C2412yes—
985#95C2412yes—
986#95C2412yes—
987#95C2412yes—
988#95C2412yes—
989#95C2412yes—
990#95C2411yescharacteristic
991#95C2412yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2414yes—
1005#95C2411yescharacteristic
1006#95C2412yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035C24—41no—
1036C24—42no—
1037C24—42no—
1038C24—41no—
1039C24H(5,𝔽2)14yes—
1040C24C2511yescharacteristic
1041C24C2514yes—
1042C24C2512yes—
1043C24C2512yes—
1044C24C2511yescharacteristic
1045#41—816no—
1046C2×Q8—24no—
1047C2×Q8—24no—
1048C2×Q8—24no—
1049C2×Q8—24no—
1050C2×Q8—41no—
1051C2×Q8—42no—
1052C2×Q8—44no—
1053C2×Q8—44no—
1054C2×Q8—44no—
1055C2×Q8—44no—
1056C2×Q8—88no—
1057C2×D4—28no—
1058C2×D4—28no—
1059C2×D4—24no—
1060C2×D4—28no—
1061C2×D4—24no—
1062C2×D4—28no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—24no—
1066C2×D4—24no—
1067C2×D4—24no—
1068C2×D4—24no—
1069C2×D4—28no—
1070C2×D4—41no—
1071C2×D4—42no—
1072C2×D4—44no—
1073C2×D4—42no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—42no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—42no—
1083C2×D4—44no—
1084C2×D4—42no—
1085C2×D4—41no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—42no—
1090C2×D4—44no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—42no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—24no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—28no—
1105C22×C4—24no—
1106C22×C4—28no—
1107C22×C4—24no—
1108C22×C4—24no—
1109C22×C4—24no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—24no—
1113C22×C4—44no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—41no—
1121C22×C4—44no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—42no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—42no—
1142C22×C4—44no—
1143C22×C4—42no—
1144C22×C4—88no—
1145C22×C4C2511yescharacteristic
1146C22×C4C2511yescharacteristic
1147C22×C4C2512yes—
1148C22×C4C2512yes—
1149C22×C4C2512yes—
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2514yes—
1154C22×C4C2514yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2511yescharacteristic
1158C22×C4C2512yes—
1159C22×C4C2514yes—
1160C22×C4C2514yes—
1161C22×C4C2512yes—
1162C22×C4C2514yes—
1163C22×C4C2512yes—
1164C22×C4C2511yescharacteristic
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2511yescharacteristic
1169C4⋊C4—22no—
1170C4⋊C4—24no—
1171C4⋊C4—28no—
1172C4⋊C4—24no—
1173C4⋊C4—22no—
1174C4⋊C4—28no—
1175C4⋊C4—28no—
1176C4⋊C4—24no—
1177C4⋊C4—28no—
1178C4⋊C4—24no—
1179C4⋊C4—24no—
1180C4⋊C4—24no—
1181C4⋊C4—28no—
1182C4⋊C4—24no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—42no—
1187C4⋊C4—42no—
1188C4⋊C4—42no—
1189C4⋊C4—42no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—41no—
1197C4⋊C4—44no—
1198C4⋊C4—42no—
1199C4⋊C4—41no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—42no—
1207C4⋊C4—44no—
1208C4⋊C4—42no—
1209C4⋊C4—44no—
1210C4⋊C4—42no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—42no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4H(5,𝔽2)14yes—
1218C22⋊C4—24no—
1219C22⋊C4—24no—
1220C22⋊C4—24no—
1221C22⋊C4—24no—
1222C22⋊C4—28no—
1223C22⋊C4—28no—
1224C22⋊C4—24no—
1225C22⋊C4—28no—
1226C22⋊C4—22no—
1227C22⋊C4—28no—
1228C22⋊C4—24no—
1229C22⋊C4—28no—
1230C22⋊C4—24no—
1231C22⋊C4—24no—
1232C22⋊C4—28no—
1233C22⋊C4—24no—
1234C22⋊C4—24no—
1235C22⋊C4—24no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—44no—
1239C22⋊C4—41no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—42no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—42no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—42no—
1250C22⋊C4—44no—
1251C22⋊C4—42no—
1252C22⋊C4—44no—
1253C22⋊C4—41no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—42no—
1257C22⋊C4—41no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—42no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—44no—
1273C22⋊C4—42no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C42—24no—
1279C42—24no—
1280C42—24no—
1281C42—22no—
1282C42—24no—
1283C42—24no—
1284C42—24no—
1285C42—42no—
1286C42—42no—
1287C42—42no—
1288C42—42no—
1289C42—44no—
1290C42—44no—
1291C42—44no—
1292C42—44no—
1293C42—44no—
1294C42—44no—
1295C42—42no—
1296C23—22no—
1297C23—21no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—21no—
1305C23—22no—
1306C23—21no—
1307C23—24no—
1308C23—22no—
1309C23—22no—
1310C23—24no—
1311C23—21no—
1312C23—22no—
1313C23—24no—
1314C23—24no—
1315C23—22no—
1316C23—24no—
1317C23—24no—
1318C23—24no—
1319C23—24no—
1320C23—21no—
1321C23—24no—
1322C23—22no—
1323C23—48no—
1324C23—44no—
1325C23—82no—
1326C23—82no—
1327C23—84no—
1328C23C2×H(5,𝔽2)12yes—
1329C23C2×H(5,𝔽2)14yes—
1330C23C2611yescharacteristic
1331Q8—44no—
1332Q8—48no—
1333Q8—84no—
1334Q8—164no—
1335D4—44no—
1336D4—48no—
1337D4—88no—
1338D4—84no—
1339D4—88no—
1340D4—88no—
1341D4—88no—
1342D4—88no—
1343D4—82no—
1344D4—84no—
1345D4—84no—
1346D4—162no—
1347D4—164no—
1348D4—164no—
1349D4—162no—
1350C2×C4—22no—
1351C2×C4—24no—
1352C2×C4—22no—
1353C2×C4—21no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—21no—
1358C2×C4—22no—
1359C2×C4—21no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—21no—
1364C2×C4—22no—
1365C2×C4—24no—
1366C2×C4—24no—
1367C2×C4—24no—
1368C2×C4—24no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—21no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—24no—
1386C2×C4—24no—
1387C2×C4—24no—
1388C2×C4—24no—
1389C2×C4—24no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—24no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—24no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—24no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—416no—
1413C2×C4—44no—
1414C2×C4—48no—
1415C2×C4—44no—
1416C2×C4—84no—
1417C2×C4—84no—
1418C2×C4—84no—
1419C2×C4—84no—
1420C2×C4—84no—
1421C2×C4—84no—
1422C2×C4—82no—
1423C2×C4—84no—
1424C2×C4—84no—
1425C2×C4—164no—
1426C2×C4—164no—
1427C2×C4—164no—
1428C2×C4—162no—
1429C2×C4C2×H(5,𝔽2)14yes—
1430C2×C4C2×H(5,𝔽2)12yes—
1431C2×C4#58514yes—
1432C2×C4#58514yes—
1433C22—24no—
1434C22—24no—
1435C22—24no—
1436C22—24no—
1437C22—22no—
1438C22—41no—
1439C22—42no—
1440C22—41no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—41no—
1446C22—44no—
1447C22—42no—
1448C22—44no—
1449C22—42no—
1450C22—41no—
1451C22—44no—
1452C22—44no—
1453C22—42no—
1454C22—44no—
1455C22—41no—
1456C22—44no—
1457C22—42no—
1458C22—42no—
1459C22—44no—
1460C22—44no—
1461C22—44no—
1462C22—88no—
1463C22C22×H(5,𝔽2)11yescharacteristic
1464C22C22×H(5,𝔽2)11yescharacteristic
1465C22C2×#58512yes—
1466C22C2×#58512yes—
1467C222−1+611yescharacteristic
1468C4—24no—
1469C4—24no—
1470C4—41no—
1471C4—42no—
1472C4—41no—
1473C4—44no—
1474C4—42no—
1475C4—41no—
1476C4—42no—
1477C4—42no—
1478C4—42no—
1479C4—42no—
1480C4—44no—
1481C4—44no—
1482C4—44no—
1483C4—42no—
1484C4—42no—
1485C4—44no—
1486C4—41no—
1487C4—42no—
1488C4—42no—
1489C4—42no—
1490C4—42no—
1491C4#355114yes—
1492C2—44no—
1493C2—42no—
1494C2—81no—
1495C2—84no—
1496C2—82no—
1497C2C2×#355111yescharacteristic
1498C2#6282212yes—
1499C2#6289511yescharacteristic
1500C2#6296712yes—
1501C2#6301711yescharacteristic
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. #59398C2semidirect
2. #54960C2semidirect
3. #54045C2semidirect
4. #53811C2semidirect
5. #52960C2semidirect
6. #51016C2semidirect
7. #49968C2semidirect
8. #47851C2semidirect
9. #46812C2semidirect
10. #46598C2semidirect
11. #45674C2semidirect
12. #45478C2semidirect
13. #45419C2semidirect
14. #45181C2semidirect
15. #45115C2semidirect
16. #42944C2semidirect
17. #42872C2semidirect
18. #40943C2semidirect
19. #39722C2semidirect
20. #39212C2semidirect
21. #38936C2semidirect
22. #38909C2semidirect
23. #37758C2semidirect
24. #37348C2semidirect
25. #36108C2semidirect
26. #35941C2semidirect
27. #35548C2semidirect
28. #35005C2semidirect
29. #34754C2semidirect
32. C2×#550C22semidirect
33. C2×#544C22semidirect
43. #2839C22semidirect
44. #2832C22semidirect
45. #2830C22semidirect
47. #2824C22semidirect
48. #2821C22semidirect
50. #2804C22semidirect
51. #2803C22semidirect
52. #2799C22semidirect
54. #2785C22semidirect
55. #2784C22semidirect
56. #2781C22semidirect
57. #2774C22semidirect
58. #2771C22semidirect
59. #2770C22semidirect
60. #2765C22semidirect
61. #2764C22semidirect
63. #2755C22semidirect
64. #2753C22semidirect
65. #2751C22semidirect
66. #2748C22semidirect
67. #2747C22semidirect
68. #2741C22semidirect
69. #2740C22semidirect
70. #2740C22semidirect
71. #2725C22semidirect
73. #2723C22semidirect
77. #2711C22semidirect
89. #2691C22semidirect
90. #2691C22semidirect
95. #2687C22semidirect
104. #2664C22semidirect
105. #2661C22semidirect
106. #2653C22semidirect
107. #2649C22semidirect
109. #2641C22semidirect
110. #2640C22semidirect
113. #2624C22semidirect
114. #2624C22semidirect
115. #2620C22semidirect
118. #2607C22semidirect
119. #2597C22semidirect
120. #2584C22semidirect
121. #2582C22semidirect
124. #2572C22semidirect
129. #2559C22semidirect
136. #2552C22semidirect
137. #2550C22semidirect
138. #2548C22semidirect
140. #2544C22semidirect
141. #2544C22semidirect
149. #2518C22semidirect
151. #2517C22semidirect
152. #2515C22semidirect
153. #2511C22semidirect
154. #2511C22semidirect
156. #2508C22semidirect
157. #2507C22semidirect
159. #2505C22semidirect
161. #2504C22semidirect
165. #2495C22semidirect
179. #2477C22semidirect
180. #2473C22semidirect
187. #2454C22semidirect
188. #2454C22semidirect
189. #2451C22semidirect
191. #2447C22semidirect
194. #2439C22semidirect
198. #2430C22semidirect
203. #2428C22semidirect
207. #2427C22semidirect
209. #2423C22semidirect
228. #2382C22semidirect
229. #2367C22semidirect
230. #2363C22semidirect
232. #2360C22semidirect
234. #2357C22semidirect
236. D4×C4⋊C4C22semidirect
237. #2347C22semidirect
239. #2345C22semidirect
241. #2333C22semidirect
242. #2330C22semidirect
243. #2326C22semidirect
246. #2320C22semidirect
247. #2319C22semidirect
248. #2311C22semidirect
257. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#593982
#549602
#540452
#538112
#529602
#510162
#499682
#478512
#468122
#465982
#456742
#454782
#454192
#451812
#451152
#429442
#428722
#409432
#397222
#392122
#389362
#389092
#377582
#373482
#361082
#359412
#355482
#350052
#347542