Finite Group Databasebeta

← #8429532

Subgroups — #8429532

Order 512.

4017 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59665C211yesmaximal, characteristic, complemented
2#59587C212yesmaximal, complemented
3#59426C212yesmaximal, complemented
4#59243C211yesmaximal, characteristic, complemented
5#59219C211yesmaximal, characteristic, complemented
6#57054C214yesmaximal, complemented
7#55957C214yesmaximal, complemented
8#53133C212yesmaximal, complemented
9#53084C212yesmaximal, complemented
10#53072C212yesmaximal, complemented
11#53054C212yesmaximal, complemented
12#52562C214yesmaximal, complemented
13#42935C212yesmaximal, complemented
14#42768C212yesmaximal
15#42764C212yesmaximal, complemented
16#42692C212yesmaximal, complemented
17#40863C214yesmaximal, complemented
18#39780C212yesmaximal, complemented
19#39626C211yesmaximal, characteristic, complemented
20#39608C211yesmaximal, characteristic, complemented
21#39297C212yesmaximal, complemented
22#39216C212yesmaximal, complemented
23#39078C212yesmaximal, complemented
24#38967C211yesmaximal, characteristic, complemented
25#38931C211yesmaximal, characteristic, complemented
26#37637C211yesmaximal, characteristic, complemented
27#37624C211yesmaximal, characteristic, complemented
28#37597C212yesmaximal, complemented
29#37597C212yesmaximal, complemented
30#36480C211yesmaximal, characteristic, complemented
31#36459C211yesmaximal, characteristic, complemented
32#36210C211yesmaximal, characteristic, complemented
33#34978C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic
35#34793C211yesmaximal, characteristic, complemented
36#2863C2212yes—
37#2860C2212yes—
38#2859C2211yescharacteristic
39#2857C2211yescharacteristic
40#2857C2211yescharacteristic
41#2841C2214yes—
42#2838C2214yes—
43#2837C2214yes—
44#2833C2214yes—
45#2833C2214yes—
46#2832C2214yes—
47#2832C2214yes—
48#2831C2214yes—
49#2831C2214yes—
50#2831C2214yes—
51#2831C2214yes—
52#2830C2214yes—
53#2829C2214yes—
54#2814C2214yes—
55#2808C2214yes—
56#2806C2214yes—
57#2799C2214yes—
58#2798C2214yes—
59#2792C2214yes—
60#2791C2214yes—
61#2788C2214yes—
62#2786C2214yes—
63#2775C2214yes—
64#2773C2214yes—
65#2772C2214yes—
66#2772C2214yes—
67#2770C2214yes—
68#2770C2214yes—
69#2769C2214yes—
70#2765C2214yes—
71#2763C2214yes—
72#2759C2214yes—
73#2759C2214yes—
74#2759C2214yes—
75#2758C2214yes—
76#2758C2214yes—
77#2758C2214yes—
78#2757C2214yes—
79#2755C2214yes—
80#2754C2214yes—
81#2745C2214yes—
82#2742C2214yes—
83#2740C2214yes—
84#2739C2214yes—
85#2718C2214yes—
86#2707C2214yes—
87#2705C2214yes—
88#2698C2214yes—
89#2692C2214yes—
90#2690C2214yes—
91#2689C2214yes—
92#2666C2214yes—
93#2664C2214yes—
94#2664C2214yes—
95#2660C2212yes—
96#2660C2212yes—
97#2655C2214yes—
98#2655C2214yes—
99#2655C2214yes—
100#2654C2214yes—
101#2654C2214yes—
102#2654C2214yes—
103#2651C2214yes—
104#2647C2212yes—
105#2647C2212yes—
106#2647C2212yes—
107#2644C2212yes—
108#2637C2214yes—
109#2629C2212yes—
110#2629C2212yes—
111#2628C2212yes—
112#2628C2212yes—
113#2628C2212yes—
114#2625C2212yes—
115#2612C2214yes—
116#2605C2214yes—
117#2594C2214yes—
118#2592C2214yes—
119#2590C2214yes—
120#2585C2214yes—
121#2584C2212yes—
122#2582C2212yes—
123#2577C2214yes—
124#2571C2211yescharacteristic
125#2571C2211yescharacteristic
126#2570C2212yes—
127#2570C2212yes—
128#2567C2211yescharacteristic
129#2567C2212yes—
130#2563C2211yescharacteristic
131#2563C2212yes—
132#2563C2212yes—
133#2562C2212yes—
134#2560C2214yes—
135#2552C2211yescharacteristic
136#2552C2212yes—
137#2552C2211yescharacteristic
138#2552C2211yescharacteristic
139#2551C2211yescharacteristic
140#2551C2211yescharacteristic
141#2550C2212yes—
142#2550C2212yes—
143#2550C2212yes—
144#2550C2212yes—
145#2538C2211yescharacteristic
146#2536C2212yes—
147#2532C2214yes—
148#2532C2212yes—
149#2530C2212yes—
150#2528C2212yes—
151#2526C2212yes—
152#2521C2214yes—
153#2520C2214yes—
154#2518C2212yes—
155#2517C2212yes—
156#2514C2214yes—
157#2514C2212yes—
158#2513C2212yes—
159#2513C2211yescharacteristic
160#2512C2212yes—
161#2512C2214yes—
162#2511C2211yescharacteristic
163#2509C2212yes—
164#2509C2212yes—
165#2509C2212yes—
166#2509C2212yes—
167#2509C2212yes—
168#2508C2212yes—
169#2508C2212yes—
170#2508C2212yes—
171#2508C2214yes—
172#2508C2211yescharacteristic
173#2507C2212yes—
174#2507C2212yes—
175#2506C2212yes—
176#2506C2212yes—
177#2506C2211yescharacteristic
178#2500C2211yescharacteristic
179#2499C2212yes—
180#2499C2211yescharacteristic
181#2497C2212yes—
182#2497C2212yes—
183#2497C2211yescharacteristic
184#2496C2212yes—
185#2496C2212yes—
186#2496C2212yes—
187#2496C2212yes—
188#2495C2212yes—
189#2495C2212yes—
190#2495C2212yes—
191#2494C2212yes—
192#2494C2211yescharacteristic
193#2494C2212yes—
194#2494C2212yes—
195#2494C2212yes—
196#2494C2212yes—
197#2494C2212yes—
198#2492C2212yes—
199#2491C2211yescharacteristic
200#2490C2212yes—
201#2490C2212yes—
202#2489C2212yes—
203#2489C2211yescharacteristic
204#2487C2212yes—
205#2486C2212yes—
206#2485C2212yes—
207#2485C2212yes—
208#2485C2211yescharacteristic
209#2485C2211yescharacteristic
210#2470C2214yes—
211#2469C2214yes—
212#2469C2214yes—
213#2469C2214yes—
214#2465C2214yes—
215#2462C2214yes—
216#2462C2214yes—
217#2460C2212yes—
218#2459C2212yes—
219#2454C2212yes—
220#2453C2214yes—
221#2452C2212yes—
222#2451C2212yes—
223#2442C2212yes—
224#2441C2212yes—
225#2441C2212yes—
226#2441C2211yescharacteristic
227#2441C2212yes—
228#2440C2212yes—
229#2439C2211yescharacteristic
230#2439C2212yes—
231#2439C2212yes—
232#2439C2212yes—
233#2439C2212yes—
234#2439C2212yes—
235#2422C2212yes—
236#2421C2212yes—
237#2421C2214yes—
238#2421C2212yes—
239#2415C2212yes—
240#2415C2211yescharacteristic
241#2415C2212yes—
242#2414C2211yescharacteristic
243#2401C2212yes—
244#2398C2212yes—
245#2396C2214yes—
246#2395C2212yes—
247#2392C2212yes—
248#2370C2212yes—
249#2370C2212yes—
250#2370C2212yes—
251#2369C2211yescharacteristic
252#2369C2211yescharacteristic
253#2365C2212yes—
254#2362C2212yes—
255#2360C2212yes—
256#2357C2212yes—
257#2355C2212yes—
258#2355C2214yes—
259#2355C2211yescharacteristic
260#2354C2212yes—
261#2354C2211yescharacteristic
262#2354C2212yes—
263Q8×C4⋊C4C2211yescharacteristic
264D4×C4⋊C4C2211yescharacteristic
265#2347C2212yes—
266#2347C2212yes—
267#2347C2212yes—
268#2334C2214yes—
269#2331C2212yes—
270#2324C2212yes—
271#2320C2212yes—
272#2316C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×#125C2211yescharacteristic
279C4×#125C2212yes—
280C4×#125C2212yes—
281C4×#125C2212yes—
282C4×#125C2212yes—
283C4×#124C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288#2298C2212yes—
289#2298C2212yes—
290#2295C2211yescharacteristic
291#2293C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#124C2312yes—
316C2×#123C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2314yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2314yes—
330C2×C4×Q8C2312yes—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×#117C2311yescharacteristic
339C2×#117C2312yes—
340C2×#117C2312yes—
341C2×#117C2312yes—
342C2×#117C2312yes—
343C2×#117C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C2×#117C2311yescharacteristic
346C2×#117C2312yes—
347C22×C4⋊C4C2312yes—
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350#401C2314yes—
351#401C2314yes—
352#401C2314yes—
353#401C2312yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2312yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2312yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2312yes—
380#400C2314yes—
381#400C2312yes—
382#400C2312yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2312yes—
387#399C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2312yes—
443#396C2312yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2312yes—
480#393C2314yes—
481#393C2314yes—
482#393C2312yes—
483#392C2312yes—
484#391C2314yes—
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2314yes—
494#391C2314yes—
495#391C2311yescharacteristic
496#391C2314yes—
497#391C2312yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2311yescharacteristic
504#391C2314yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#390C2314yes—
508#390C2311yescharacteristic
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2314yes—
580#389C2311yescharacteristic
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2314yes—
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#383C2314yes—
694#383C2314yes—
695#383C2314yes—
696#383C2314yes—
697#383C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2314yes—
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2312yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#381C2312yes—
717#381C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807C43C2312yes—
808C43C2311yescharacteristic
809C43C2312yes—
810C22×Q8C2411yescharacteristic
811C22×Q8C2412yes—
812C22×Q8C2412yes—
813C22×Q8C2414yes—
814C22×Q8C2414yes—
815C22×D4C2411yescharacteristic
816C22×D4C2412yes—
817C22×D4C2411yescharacteristic
818C22×D4C2412yes—
819C23×C4C2412yes—
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C4⋊Q8—24no—
828C4⋊Q8—24no—
829C4⋊Q8—44no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—44no—
833#126—48no—
834#126—84no—
835#126—84no—
836#125—28no—
837#125—44no—
838#125—44no—
839#125—44no—
840#125—42no—
841#125—44no—
842#125—84no—
843#124—44no—
844#123—84no—
845C22⋊Q8—44no—
846C22⋊Q8—44no—
847C22⋊Q8—42no—
848C22⋊Q8—42no—
849C22⋊Q8—84no—
850C22⋊Q8—82no—
851#121—24no—
852#121—42no—
853C4×Q8—24no—
854C4×Q8—44no—
855C4×Q8—48no—
856C4×Q8—44no—
857C4×Q8—84no—
858C4×Q8—82no—
859C4×D4—24no—
860C4×D4—44no—
861C4×D4—42no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—42no—
865C4×D4—42no—
866#117—24no—
867#117—44no—
868#117—44no—
869#117—44no—
870#117—42no—
871#117—44no—
872#117—42no—
873#117—42no—
874#117—82no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2411yescharacteristic
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C42—24no—
999C2×C42—24no—
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2411yescharacteristic
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2411yescharacteristic
1053#95C2412yes—
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124C24C2511yescharacteristic
1125C24C2512yes—
1126C24C2511yescharacteristic
1127C2×Q8—22no—
1128C2×Q8—24no—
1129C2×Q8—24no—
1130C2×Q8—22no—
1131C2×Q8—22no—
1132C2×Q8—42no—
1133C2×Q8—44no—
1134C2×Q8—42no—
1135C2×Q8—44no—
1136C2×Q8—42no—
1137C2×Q8—42no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—44no—
1141C2×Q8—44no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—24no—
1145C2×D4—22no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—24no—
1161C22×C4—22no—
1162C22×C4—24no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—24no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4C2511yescharacteristic
1179C22×C4C2511yescharacteristic
1180C22×C4C2511yescharacteristic
1181C22×C4C2511yescharacteristic
1182C22×C4C2511yescharacteristic
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2514yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2514yes—
1196C22×C4C2514yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—24no—
1214C4⋊C4—28no—
1215C4⋊C4—28no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—22no—
1220C4⋊C4—24no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—22no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—24no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—44no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C42−1+414yes—
1290C22⋊C4—24no—
1291C22⋊C4—24no—
1292C22⋊C4—24no—
1293C22⋊C4—22no—
1294C22⋊C4—24no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—44no—
1300C22⋊C4—42no—
1301C22⋊C4—44no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—44no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—41no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—24no—
1339C42—24no—
1340C42—24no—
1341C42—22no—
1342C42—22no—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—24no—
1348C42—22no—
1349C42—24no—
1350C42—22no—
1351C42—24no—
1352C42—44no—
1353C42—44no—
1354C42—42no—
1355C42—42no—
1356C42—42no—
1357C42—44no—
1358C42—41no—
1359C42—44no—
1360C42—44no—
1361C42—44no—
1362C42—42no—
1363C42—42no—
1364C42—41no—
1365C42—44no—
1366C42—44no—
1367C422−1+414yes—
1368C23—21no—
1369C23—22no—
1370C23—22no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—22no—
1375C23—21no—
1376C23—22no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—22no—
1385C23—22no—
1386C23—21no—
1387C23—22no—
1388C23—21no—
1389C23C2611yescharacteristic
1390Q8—44no—
1391Q8—84no—
1392Q8—84no—
1393Q8—88no—
1394Q8—88no—
1395D4—44no—
1396D4—44no—
1397D4—84no—
1398D4—84no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—24no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—24no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—48no—
1492C2×C4—82no—
1493C2×C4—164no—
1494C2×C4C2×2−1+412yes—
1495C2×C4C2×2−1+414yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4C2×2−1+412yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4#58512yes—
1500C2×C4#58512yes—
1501C2×C4#58512yes—
1502C2×C4#58512yes—
1503C22—42no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—42no—
1509C22—41no—
1510C22—41no—
1511C22—42no—
1512C22—41no—
1513C22—42no—
1514C22—41no—
1515C22—42no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—42no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—42no—
1524C22C22×2−1+411yescharacteristic
1525C22C22×2−1+411yescharacteristic
1526C22C2×#58511yescharacteristic
1527C22C2×#58511yescharacteristic
1528C22C2×#58511yescharacteristic
1529C22C2×#58511yescharacteristic
1530C22H(7,𝔽2)11yescharacteristic
1531C4—24no—
1532C4—22no—
1533C4—22no—
1534C4—41no—
1535C4—41no—
1536C4—42no—
1537C4—42no—
1538C4—41no—
1539C4—41no—
1540C4—42no—
1541C4—41no—
1542C4—44no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—41no—
1548C4—41no—
1549C4—42no—
1550C4—44no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—41no—
1556C4—42no—
1557C4—44no—
1558C4—42no—
1559C4—41no—
1560C4—44no—
1561C4#355514yes—
1562C4#356514yes—
1563C2—81no—
1564C2—81no—
1565C2—82no—
1566C2C2×#356511yescharacteristic
1567C2C2×#355511yescharacteristic
1568C2#6276211yescharacteristic
1569C2#6293811yescharacteristic
1570C2#6295211yescharacteristic
1571C2#6295811yescharacteristic
1572C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2414C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59665C2semidirect
2. #59587C2semidirect
3. #59426C2semidirect
4. #59243C2semidirect
5. #59219C2semidirect
6. #57054C2semidirect
7. #55957C2semidirect
8. #53133C2semidirect
9. #53084C2semidirect
10. #53072C2semidirect
11. #53054C2semidirect
12. #52562C2semidirect
13. #42935C2semidirect
15. #42764C2semidirect
16. #42692C2semidirect
17. #40863C2semidirect
18. #39780C2semidirect
19. #39626C2semidirect
20. #39608C2semidirect
21. #39297C2semidirect
22. #39216C2semidirect
23. #39078C2semidirect
24. #38967C2semidirect
25. #38931C2semidirect
26. #37637C2semidirect
27. #37624C2semidirect
28. #37597C2semidirect
29. #37597C2semidirect
30. #36480C2semidirect
31. #36459C2semidirect
32. #36210C2semidirect
33. #34978C2semidirect
35. #34793C2semidirect

Maximal subgroups

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

subgroupindex
#596652
#595872
#594262
#592432
#592192
#570542
#559572
#531332
#530842
#530722
#530542
#525622
#429352
#427682
#427642
#426922
#408632
#397802
#396262
#396082
#392972
#392162
#390782
#389672
#389312
#376372
#376242
#375972
#364802
#364592
#362102
#349782
#348002
#347932