Finite Group Databasebeta

← #8656868

Subgroups — #8656868

Order 512.

5301 conjugacy classes of subgroups.

The subgroup lattice has 1617 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59676C212yesmaximal, complemented
2#58804C212yesmaximal, complemented
3#53526C214yesmaximal, complemented
4#53408C214yesmaximal, complemented
5#52957C211yesmaximal, characteristic, complemented
6#50776C214yesmaximal, complemented
7#50715C214yesmaximal, complemented
8#49797C214yesmaximal, complemented
9#47726C212yesmaximal, complemented
10#46465C214yesmaximal, complemented
11#46330C211yesmaximal, characteristic, complemented
12#45616C212yesmaximal, complemented
13#45378C212yesmaximal, complemented
14#45244C211yesmaximal, characteristic, complemented
15#44884C212yesmaximal, complemented
16#42911C211yesmaximal, characteristic, complemented
17#42446C212yesmaximal, complemented
18#42401C212yesmaximal, complemented
19#39956C212yesmaximal, complemented
20#39747C211yesmaximal, characteristic, complemented
21#39340C212yesmaximal, complemented
22#39335C212yesmaximal, complemented
23#39006C212yesmaximal, complemented
24#37272C212yesmaximal, complemented
25#36278C212yesmaximal, complemented
26#35759C211yesmaximal, characteristic, complemented
27#35564C212yesmaximal, complemented
28#35044C212yesmaximal, complemented
29#34925C211yesmaximal, characteristic, complemented
30C2×#556C2211yescharacteristic
31C2×#550C2211yescharacteristic
32C2×#548C2212yes—
33C2×#547C2212yes—
34C2×#537C2212yes—
35C2×#537C2212yes—
36C2×#537C2212yes—
37C2×#536C2211yescharacteristic
38C2×#532C2212yes—
39C2×#532C2212yes—
40C2×#520C2211yescharacteristic
41#2863C2212yes—
42#2858C2211yescharacteristic
43#2857C2212yes—
44#2855C2212yes—
45#2854C2212yes—
46#2850C2212yes—
47#2843C2212yes—
48#2828C2212yes—
49#2827C2214yes—
50#2826C2214yes—
51#2824C2212yes—
52#2821C2212yes—
53#2813C2214yes—
54#2806C2214yes—
55#2801C2214yes—
56#2800C2214yes—
57#2795C2214yes—
58#2790C2214yes—
59#2784C2214yes—
60#2784C2212yes—
61#2784C2212yes—
62#2768C2214yes—
63#2757C2214yes—
64#2752C2214yes—
65#2752C2214yes—
66#2748C2212yes—
67#2748C2214yes—
68#2746C2214yes—
69#2746C2214yes—
70#2745C2214yes—
71#2730C2214yes—
72#2729C2214yes—
73#2718C2214yes—
74#2717C2214yes—
75#2714C2214yes—
76#2714C2214yes—
77#2710C2214yes—
78#2710C2214yes—
79#2708C2214yes—
80#2706C2214yes—
81#2701C2214yes—
82#2699C2214yes—
83#2699C2214yes—
84#2688C2214yes—
85#2686C2214yes—
86#2686C2214yes—
87#2683C2212yes—
88#2682C2214yes—
89#2681C2214yes—
90#2677C2214yes—
91#2676C2214yes—
92#2676C2214yes—
93#2675C2214yes—
94#2675C2212yes—
95#2675C2212yes—
96#2673C2214yes—
97#2673C2214yes—
98#2673C2214yes—
99#2673C2214yes—
100#2672C2214yes—
101#2672C2214yes—
102#2671C2214yes—
103#2671C2214yes—
104#2671C2214yes—
105#2671C2214yes—
106#2671C2214yes—
107#2671C2214yes—
108#2663C2214yes—
109#2662C2212yes—
110#2657C2212yes—
111#2653C2214yes—
112#2651C2214yes—
113#2648C2214yes—
114#2636C2212yes—
115#2632C2212yes—
116#2631C2214yes—
117#2630C2214yes—
118#2616C2211yescharacteristic
119#2616C2212yes—
120#2616C2211yescharacteristic
121#2615C2212yes—
122#2608C2214yes—
123#2606C2214yes—
124#2604C2212yes—
125#2602C2214yes—
126#2602C2214yes—
127#2597C2214yes—
128#2590C2214yes—
129#2587C2214yes—
130#2587C2214yes—
131#2583C2214yes—
132#2581C2212yes—
133#2579C2214yes—
134#2569C2214yes—
135#2567C2212yes—
136#2557C2214yes—
137#2555C2211yescharacteristic
138#2555C2212yes—
139#2555C2212yes—
140#2555C2211yescharacteristic
141#2555C2214yes—
142#2551C2211yescharacteristic
143#2548C2212yes—
144#2547C2211yescharacteristic
145#2544C2212yes—
146#2543C2214yes—
147#2543C2214yes—
148#2543C2214yes—
149#2542C2212yes—
150#2541C2212yes—
151#2541C2211yescharacteristic
152#2540C2212yes—
153#2537C2214yes—
154#2537C2212yes—
155#2537C2211yescharacteristic
156#2536C2212yes—
157#2531C2214yes—
158#2513C2212yes—
159#2510C2214yes—
160#2507C2212yes—
161#2503C2211yescharacteristic
162#2497C2212yes—
163#2494C2212yes—
164#2492C2212yes—
165#2491C2212yes—
166#2491C2214yes—
167#2491C2212yes—
168#2487C2212yes—
169#2487C2211yescharacteristic
170#2486C2212yes—
171#2466C2214yes—
172#2464C2214yes—
173#2464C2214yes—
174#2464C2214yes—
175#2463C2212yes—
176#2461C2214yes—
177#2459C2214yes—
178#2459C2214yes—
179#2459C2214yes—
180#2456C2214yes—
181#2449C2214yes—
182#2447C2212yes—
183#2446C2212yes—
184#2443C2214yes—
185#2440C2214yes—
186#2439C2212yes—
187#2434C2211yescharacteristic
188#2432C2212yes—
189#2431C2212yes—
190#2429C2212yes—
191#2429C2214yes—
192#2428C2214yes—
193#2428C2214yes—
194#2428C2214yes—
195#2428C2214yes—
196#2428C2212yes—
197#2428C2212yes—
198#2428C2212yes—
199#2427C2214yes—
200#2426C2212yes—
201#2426C2214yes—
202#2423C2212yes—
203#2422C2212yes—
204#2417C2212yes—
205#2417C2212yes—
206#2417C2212yes—
207#2417C2212yes—
208#2417C2212yes—
209#2416C2212yes—
210#2416C2212yes—
211#2416C2212yes—
212#2416C2214yes—
213#2416C2214yes—
214#2416C2214yes—
215#2416C2214yes—
216#2415C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2414C2212yes—
222#2409C2212yes—
223#2409C2211yescharacteristic
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yes—
227#2407C2212yes—
228#2398C2212yes—
229#2388C2212yes—
230#2388C2211yescharacteristic
231#2388C2211yescharacteristic
232#2380C2212yes—
233#2377C2214yes—
234#2361C2214yes—
235#2361C2212yes—
236#2360C2212yes—
237#2360C2212yes—
238#2353C2214yes—
239#2352C2212yes—
240D4×C4⋊C4C2212yes—
241#2347C2211yescharacteristic
242#2346C2211yescharacteristic
243#2345C2214yes—
244#2337C2214yes—
245#2333C2214yes—
246#2326C2212yes—
247#2322C2214yes—
248#2319C2214yes—
249#2311C2212yes—
250C4×#127C2211yescharacteristic
251C4×C22⋊Q8C2212yes—
252C4×#121C2212yes—
253C4×#121C2212yes—
254C4×#121C2212yes—
255#2297C2212yes—
256#2295C2211yescharacteristic
257C2×#389C2212yes—
258C42×D4C2212yes—
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C22×#41C2312yes—
262C22×#41C2311yescharacteristic
263C22×#41C2312yes—
264C23×Q8C2311yescharacteristic
265#556—44no—
266#550—44no—
267#548—48no—
268#547—48no—
269#537—48no—
270#537—48no—
271#537—48no—
272#536—44no—
273#532—48no—
274#532—48no—
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2312yes—
279C2×C4⋊Q8C2312yes—
280C2×#127C2311yescharacteristic
281C2×#127C2311yescharacteristic
282C2×#127C2312yes—
283C2×#127C2312yes—
284C2×#127C2312yes—
285C2×#127C2312yes—
286C2×#126C2312yes—
287C2×#126C2312yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2314yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352#520—44no—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2314yes—
382C22×C4⋊C4C2314yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2311yescharacteristic
385C22×C42C2312yes—
386C22×C42C2312yes—
387#401C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2312yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2312yes—
399#399C2314yes—
400#399C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#395C2312yes—
437#395C2312yes—
438#395C2311yescharacteristic
439#395C2312yes—
440#395C2312yes—
441#395C2311yescharacteristic
442#395C2312yes—
443#395C2314yes—
444#395C2314yes—
445#395C2312yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2314yes—
454#394C2311yescharacteristic
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2311yescharacteristic
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#393C2311yescharacteristic
482#393C2312yes—
483#393C2314yes—
484#393C2311yescharacteristic
485#393C2314yes—
486#393C2314yes—
487#393C2312yes—
488#393C2314yes—
489#392C2312yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2312yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2311yescharacteristic
502#392C2311yescharacteristic
503#392C2312yes—
504#392C2312yes—
505#392C2312yes—
506#392C2312yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2312yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2312yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#384C2311yescharacteristic
664#384C2314yes—
665#384C2312yes—
666#383C2312yes—
667#383C2314yes—
668#382C2312yes—
669#382C2312yes—
670#381C2314yes—
671#381C2314yes—
672#381C2314yes—
673#381C2314yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2311yescharacteristic
685#380C2311yescharacteristic
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2314yes—
691#380C2314yes—
692#380C2312yes—
693#380C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2311yescharacteristic
702C4×C4⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2311yescharacteristic
713C4×C22⋊C4C2311yescharacteristic
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719#376C2312yes—
720#376C2312yes—
721C2×#95C2314yes—
722C43C2311yescharacteristic
723C2×#41—28no—
724C2×#41—28no—
725C2×#41—28no—
726C2×#41—42no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—42no—
730C2×#41—44no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—44no—
736C22×Q8—42no—
737C22×Q8—44no—
738C22×Q8C2412yes—
739C22×Q8C2411yescharacteristic
740C22×Q8C2411yescharacteristic
741C22×Q8C2412yes—
742C22×Q8C2412yes—
743C22×Q8C2412yes—
744C22×Q8C2411yescharacteristic
745C22×D4C2412yes—
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2411yescharacteristic
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2411yescharacteristic
758C22×D4C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2411yescharacteristic
770C22×D4C2412yes—
771C22×D4C2412yes—
772C23×C4C2411yescharacteristic
773C23×C4C2412yes—
774C23×C4C2411yescharacteristic
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C4⋊Q8—44no—
790C4⋊Q8—42no—
791C4⋊Q8—44no—
792C4⋊Q8—44no—
793C4⋊Q8—44no—
794#127—24no—
795#127—42no—
796#127—44no—
797#127—44no—
798#127—44no—
799#127—82no—
800#126—44no—
801#126—44no—
802#124—28no—
803#124—44no—
804#124—44no—
805#124—44no—
806#124—44no—
807#124—44no—
808#124—48no—
809#124—44no—
810#124—44no—
811#124—82no—
812#124—82no—
813#123—48no—
814#123—48no—
815#123—48no—
816#123—48no—
817#123—84no—
818#123—84no—
819C22⋊Q8—28no—
820C22⋊Q8—28no—
821C22⋊Q8—28no—
822C22⋊Q8—48no—
823C22⋊Q8—48no—
824C22⋊Q8—48no—
825C22⋊Q8—48no—
826C22⋊Q8—44no—
827C22⋊Q8—44no—
828C22⋊Q8—44no—
829C22⋊Q8—44no—
830C22⋊Q8—44no—
831C22⋊Q8—42no—
832C22⋊Q8—42no—
833#121—28no—
834#121—28no—
835#121—48no—
836#121—48no—
837#121—44no—
838#121—48no—
839#121—48no—
840#121—44no—
841#121—44no—
842#121—44no—
843#121—44no—
844#121—44no—
845#121—48no—
846#121—48no—
847#121—48no—
848#121—48no—
849#121—44no—
850#121—44no—
851#121—44no—
852#121—44no—
853#121—48no—
854#121—48no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—44no—
860#121—44no—
861#121—44no—
862#121—48no—
863#121—44no—
864#121—84no—
865#121—84no—
866C4×Q8—24no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×D4—28no—
871C4×D4—28no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4—44no—
880C4×D4—44no—
881C4×D4—42no—
882C4×D4—42no—
883C4×D4—48no—
884C4×D4—44no—
885C4×D4—48no—
886C4×D4—48no—
887C4×D4—84no—
888C4×D4—84no—
889#117—24no—
890#117—24no—
891#117—44no—
892C2×C4⋊C4—28no—
893C2×C4⋊C4—48no—
894C2×C4⋊C4—42no—
895C2×C4⋊C4—44no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—48no—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C42—44no—
1011C2×C42—44no—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2411yescharacteristic
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2411yescharacteristic
1046#95C2411yescharacteristic
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2411yescharacteristic
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078C24C2511yescharacteristic
1079C24C2511yescharacteristic
1080C24C2512yes—
1081C24C2512yes—
1082C24C2514yes—
1083C24C2512yes—
1084#41—416no—
1085#41—816no—
1086#41—816no—
1087#41—88no—
1088#41—816no—
1089C2×Q8—22no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—24no—
1093C2×Q8—24no—
1094C2×Q8—24no—
1095C2×Q8—24no—
1096C2×Q8—24no—
1097C2×Q8—41no—
1098C2×Q8—42no—
1099C2×Q8—42no—
1100C2×Q8—44no—
1101C2×Q8—42no—
1102C2×Q8—42no—
1103C2×Q8—42no—
1104C2×Q8—42no—
1105C2×Q8—41no—
1106C2×Q8—88no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—28no—
1113C2×D4—24no—
1114C2×D4—28no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—28no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—42no—
1131C2×D4—41no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—41no—
1140C2×D4—42no—
1141C2×D4—41no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—44no—
1153C2×D4—42no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—44no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—44no—
1165C2×D4—42no—
1166C2×D4—44no—
1167C2×D4—42no—
1168C2×D4—41no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—41no—
1172C2×D4—42no—
1173C2×D4—41no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—28no—
1198C22×C4—28no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—28no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4H(5,𝔽2)18yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2514yes—
1240C22×C4C2514yes—
1241C22×C4C2514yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—28no—
1269C4⋊C4—24no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4H(5,𝔽2)14yes—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—24no—
1372C42—22no—
1373C42—24no—
1374C42—42no—
1375C42—42no—
1376C42—42no—
1377C42—42no—
1378C42—44no—
1379C42—44no—
1380C42—42no—
1381C42—44no—
1382C42—44no—
1383C42—41no—
1384C42—42no—
1385C422−1+414yes—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—21no—
1393C23—21no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—24no—
1398C23—22no—
1399C23—24no—
1400C23—24no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—24no—
1406C23—22no—
1407C23—22no—
1408C23—21no—
1409C23—21no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—24no—
1414C23—22no—
1415C23—24no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—24no—
1421C23—21no—
1422C23—21no—
1423C23C2×H(5,𝔽2)14yes—
1424C23C2611yescharacteristic
1425Q8—44no—
1426Q8—48no—
1427Q8—44no—
1428Q8—84no—
1429Q8—84no—
1430Q8—84no—
1431Q8—82no—
1432D4—48no—
1433D4—48no—
1434D4—48no—
1435D4—44no—
1436D4—48no—
1437D4—88no—
1438D4—84no—
1439D4—84no—
1440D4—84no—
1441D4—82no—
1442D4—82no—
1443D4—84no—
1444D4—84no—
1445D4—84no—
1446D4—88no—
1447D4—84no—
1448D4—84no—
1449D4—88no—
1450D4—84no—
1451D4—88no—
1452D4—84no—
1453D4—82no—
1454D4—88no—
1455D4—164no—
1456D4—162no—
1457D4—164no—
1458D4—164no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—216no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—48no—
1519C2×C4—48no—
1520C2×C4—88no—
1521C2×C4—84no—
1522C2×C4—84no—
1523C2×C4—84no—
1524C2×C4—88no—
1525C2×C4—88no—
1526C2×C4—84no—
1527C2×C4—84no—
1528C2×C4—88no—
1529C2×C4—162no—
1530C2×C4—164no—
1531C2×C4—164no—
1532C2×C4C2×H(5,𝔽2)14yes—
1533C2×C4C2×H(5,𝔽2)14yes—
1534C2×C4C2×H(5,𝔽2)14yes—
1535C2×C4C2×H(5,𝔽2)12yes—
1536C2×C4C2×2−1+414yes—
1537C2×C4C2×2−1+412yes—
1538C2×C4#58514yes—
1539C22—24no—
1540C22—24no—
1541C22—24no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—41no—
1547C22—41no—
1548C22—42no—
1549C22—42no—
1550C22—44no—
1551C22—41no—
1552C22—42no—
1553C22—44no—
1554C22—42no—
1555C22—41no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—44no—
1563C22—44no—
1564C22—41no—
1565C22—41no—
1566C22—44no—
1567C22—42no—
1568C22—42no—
1569C22—44no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—44no—
1577C22C22×H(5,𝔽2)11yescharacteristic
1578C22C22×H(5,𝔽2)12yes—
1579C22C22×2−1+411yescharacteristic
1580C22C2×#58512yes—
1581C22H(7,𝔽2)11yescharacteristic
1582C4—24no—
1583C4—24no—
1584C4—24no—
1585C4—22no—
1586C4—24no—
1587C4—42no—
1588C4—41no—
1589C4—42no—
1590C4—41no—
1591C4—42no—
1592C4—44no—
1593C4—44no—
1594C4—41no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—44no—
1601C4—42no—
1602C4—44no—
1603C4—44no—
1604C4#353714yes—
1605C2—44no—
1606C2—81no—
1607C2—81no—
1608C2—82no—
1609C2—82no—
1610C2—84no—
1611C2C2×#353711yescharacteristic
1612C2#6283512yes—
1613C2#6291711yescharacteristic
1614C2#6295712yes—
1615C2#6302411yescharacteristic
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. #59676C2semidirect
2. #58804C2semidirect
3. #53526C2semidirect
4. #53408C2semidirect
5. #52957C2semidirect
6. #50776C2semidirect
7. #50715C2semidirect
8. #49797C2semidirect
9. #47726C2semidirect
10. #46465C2semidirect
11. #46330C2semidirect
12. #45616C2semidirect
13. #45378C2semidirect
14. #45244C2semidirect
15. #44884C2semidirect
16. #42911C2semidirect
17. #42446C2semidirect
18. #42401C2semidirect
19. #39956C2semidirect
20. #39747C2semidirect
21. #39340C2semidirect
22. #39335C2semidirect
23. #39006C2semidirect
24. #37272C2semidirect
25. #36278C2semidirect
26. #35759C2semidirect
27. #35564C2semidirect
28. #35044C2semidirect
29. #34925C2semidirect

Maximal subgroups

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

subgroupindex
#596762
#588042
#535262
#534082
#529572
#507762
#507152
#497972
#477262
#464652
#463302
#456162
#453782
#452442
#448842
#429112
#424462
#424012
#399562
#397472
#393402
#393352
#390062
#372722
#362782
#357592
#355642
#350442
#349252