Finite Group Databasebeta

← #8425214

Subgroups — #8425214

Order 512.

4178 conjugacy classes of subgroups.

The subgroup lattice has 1563 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59832C211yesmaximal, characteristic, complemented
2#59714C212yesmaximal, complemented
3#59245C211yesmaximal, characteristic, complemented
4#59245C211yesmaximal, characteristic, complemented
5#59081C212yesmaximal, complemented
6#58955C214yesmaximal
7#54475C214yesmaximal, complemented
8#53150C212yesmaximal, complemented
9#53119C212yesmaximal
10#53002C212yesmaximal, complemented
11#52965C212yesmaximal, complemented
12#52704C214yesmaximal, complemented
13#42793C212yesmaximal, complemented
14#42782C212yesmaximal, complemented
15#42756C212yesmaximal
16#42610C212yesmaximal, complemented
17#41194C214yesmaximal, complemented
18#40227C212yesmaximal, complemented
19#40028C212yesmaximal, complemented
20#39680C212yesmaximal, complemented
21#39353C211yesmaximal, characteristic, complemented
22#39181C211yesmaximal, characteristic, complemented
23#39180C211yesmaximal, characteristic, complemented
24#39159C211yesmaximal, characteristic, complemented
25#37709C212yesmaximal
26#37630C212yesmaximal, complemented
27#37630C211yesmaximal, characteristic, complemented
28#37624C211yesmaximal, characteristic, complemented
29#37509C212yesmaximal
30#36599C211yesmaximal, characteristic, complemented
31#36314C211yesmaximal, characteristic, complemented
32#36210C211yesmaximal, characteristic
33#34938C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic
35#34772C211yesmaximal, characteristic
36C2×Q82C2212yes—
37C2×#541C2212yes—
38C2×#533C2212yes—
39#2864C2212yes—
40#2859C2211yescharacteristic
41#2857C2212yes—
42#2857C2211yescharacteristic
43#2857C2211yescharacteristic
44#2841C2214yes—
45#2839C2214yes—
46#2839C2214yes—
47#2839C2214yes—
48#2839C2214yes—
49#2839C2214yes—
50#2836C2214yes—
51#2835C2214yes—
52#2833C2214yes—
53#2833C2214yes—
54#2833C2214yes—
55#2831C2214yes—
56#2827C2214yes—
57#2821C2214yes—
58#2809C2214yes—
59#2802C2214yes—
60#2799C2214yes—
61#2799C2214yes—
62#2788C2214yes—
63#2788C2214yes—
64#2787C2214yes—
65#2776C2214yes—
66#2774C2214yes—
67#2770C2214yes—
68#2758C2214yes—
69#2758C2214yes—
70#2758C2214yes—
71#2758C2214yes—
72#2758C2214yes—
73#2755C2214yes—
74#2747C2214yes—
75#2745C2214yes—
76#2734C2214yes—
77#2729C2214yes—
78#2729C2214yes—
79#2726C2214yes—
80#2725C2214yes—
81#2722C2214yes—
82#2719C2214yes—
83#2716C2214yes—
84#2716C2214yes—
85#2716C2214yes—
86#2713C2214yes—
87#2713C2214yes—
88#2713C2214yes—
89#2713C2214yes—
90#2702C2214yes—
91#2702C2214yes—
92#2690C2214yes—
93#2690C2214yes—
94#2690C2214yes—
95#2666C2214yes—
96#2660C2212yes—
97#2655C2214yes—
98#2655C2214yes—
99#2655C2214yes—
100#2655C2214yes—
101#2653C2214yes—
102#2652C2214yes—
103#2650C2214yes—
104#2647C2212yes—
105#2647C2212yes—
106#2647C2212yes—
107#2647C2212yes—
108#2645C2212yes—
109#2645C2212yes—
110#2645C2214yes—
111#2645C2212yes—
112#2642C2214yes—
113#2642C2212yes—
114#2634C2214yes—
115#2629C2212yes—
116#2628C2212yes—
117#2625C2212yes—
118#2604C2214yes—
119#2596C2214yes—
120#2590C2214yes—
121#2588C2214yes—
122#2588C2214yes—
123#2588C2214yes—
124#2588C2214yes—
125#2585C2214yes—
126#2584C2212yes—
127#2582C2212yes—
128#2582C2212yes—
129#2582C2211yescharacteristic
130#2581C2212yes—
131#2571C2211yescharacteristic
132#2570C2212yes—
133#2570C2212yes—
134#2569C2214yes—
135#2568C2212yes—
136#2568C2212yes—
137#2568C2212yes—
138#2568C2211yescharacteristic
139#2562C2212yes—
140#2552C2212yes—
141#2552C2211yescharacteristic
142#2552C2211yescharacteristic
143#2552C2212yes—
144#2552C2211yescharacteristic
145#2551C2212yes—
146#2551C2212yes—
147#2551C2211yescharacteristic
148#2551C2211yescharacteristic
149#2551C2211yescharacteristic
150#2550C2212yes—
151#2550C2212yes—
152#2550C2212yes—
153#2550C2212yes—
154#2549C2214yes—
155#2546C2212yes—
156#2546C2212yes—
157#2546C2212yes—
158#2546C2211yescharacteristic
159#2533C2214yes—
160#2533C2214yes—
161#2533C2212yes—
162#2530C2214yes—
163#2527C2212yes—
164#2523C2212yes—
165#2522C2212yes—
166#2520C2212yes—
167#2514C2212yes—
168#2514C2212yes—
169#2514C2211yescharacteristic
170#2511C2212yes—
171#2511C2212yes—
172#2511C2212yes—
173#2511C2212yes—
174#2511C2212yes—
175#2511C2211yescharacteristic
176#2509C2212yes—
177#2509C2212yes—
178#2509C2212yes—
179#2509C2211yescharacteristic
180#2509C2212yes—
181#2509C2212yes—
182#2509C2212yes—
183#2507C2211yescharacteristic
184#2506C2212yes—
185#2506C2212yes—
186#2505C2212yes—
187#2502C2211yescharacteristic
188#2499C2211yescharacteristic
189#2499C2212yes—
190#2497C2211yescharacteristic
191#2497C2212yes—
192#2497C2212yes—
193#2496C2212yes—
194#2496C2212yes—
195#2496C2211yescharacteristic
196#2495C2212yes—
197#2495C2212yes—
198#2495C2212yes—
199#2494C2212yes—
200#2494C2212yes—
201#2492C2212yes—
202#2492C2212yes—
203#2492C2214yes—
204#2492C2211yescharacteristic
205#2492C2212yes—
206#2492C2211yescharacteristic
207#2492C2212yes—
208#2487C2211yescharacteristic
209#2485C2212yes—
210#2485C2211yescharacteristic
211#2469C2214yes—
212#2469C2214yes—
213#2466C2212yes—
214#2453C2214yes—
215#2453C2212yes—
216#2453C2212yes—
217#2453C2214yes—
218#2453C2212yes—
219#2451C2214yes—
220#2451C2212yes—
221#2451C2212yes—
222#2451C2214yes—
223#2451C2212yes—
224#2450C2212yes—
225#2446C2214yes—
226#2446C2212yes—
227#2446C2212yes—
228#2446C2212yes—
229#2446C2214yes—
230#2442C2212yes—
231#2441C2212yes—
232#2440C2212yes—
233#2440C2212yes—
234#2440C2211yescharacteristic
235#2439C2212yes—
236#2439C2212yes—
237#2439C2212yes—
238#2439C2211yescharacteristic
239#2429C2214yes—
240#2421C2212yes—
241#2421C2212yes—
242#2421C2212yes—
243#2417C2211yescharacteristic
244#2415C2211yescharacteristic
245#2415C2212yes—
246#2402C2212yes—
247#2401C2212yes—
248#2399C2214yes—
249#2398C2212yes—
250#2396C2212yes—
251#2370C2212yes—
252#2370C2212yes—
253#2369C2212yes—
254#2369C2212yes—
255#2365C2212yes—
256#2365C2214yes—
257#2365C2211yescharacteristic
258#2365C2211yescharacteristic
259#2362C2212yes—
260#2362C2212yes—
261#2362C2212yes—
262#2362C2212yes—
263#2356C2212yes—
264#2355C2211yescharacteristic
265#2355C2211yescharacteristic
266Q8×C4⋊C4C2211yescharacteristic
267Q8×C4⋊C4C2211yescharacteristic
268#2347C2212yes—
269#2345C2212yes—
270#2336C2214yes—
271#2331C2212yes—
272#2331C2212yes—
273#2330C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×#126C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286#2296C2212yes—
287#2295C2212yes—
288#2295C2211yescharacteristic
289#2295C2211yescharacteristic
290#2295C2212yes—
291#2290C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299Q82—48no—
300#541—48no—
301#533—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2314yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2314yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2314yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C42C2311yescharacteristic
358C22×C42C2311yescharacteristic
359C22×C42C2312yes—
360#401C2312yes—
361#401C2314yes—
362#401C2314yes—
363#401C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2312yes—
414#400C2312yes—
415#399C2312yes—
416#399C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2314yes—
449#398C2312yes—
450#398C2314yes—
451#398C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2312yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2312yes—
483#395C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2312yes—
487#393C2312yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2312yes—
493#393C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2312yes—
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2312yes—
525#391C2314yes—
526#391C2314yes—
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#391C2311yescharacteristic
531#391C2312yes—
532#391C2314yes—
533#391C2314yes—
534#391C2312yes—
535#391C2311yescharacteristic
536#391C2311yescharacteristic
537#391C2311yescharacteristic
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2314yes—
600#389C2314yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#386C2312yes—
685#386C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#383C2312yes—
710#383C2314yes—
711#383C2314yes—
712#383C2314yes—
713#383C2312yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#381C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809#376C2312yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×D4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C4⋊Q8—28no—
831C4⋊Q8—24no—
832C4⋊Q8—24no—
833C4⋊Q8—28no—
834C4⋊Q8—24no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—48no—
841C4⋊Q8—48no—
842C4⋊Q8—48no—
843C4⋊Q8—48no—
844#126—48no—
845#126—44no—
846#126—48no—
847#125—28no—
848#125—44no—
849#125—44no—
850#125—44no—
851#125—48no—
852#125—48no—
853#125—48no—
854C22⋊Q8—24no—
855C22⋊Q8—28no—
856C22⋊Q8—24no—
857C22⋊Q8—24no—
858C22⋊Q8—48no—
859C22⋊Q8—44no—
860C22⋊Q8—48no—
861C22⋊Q8—42no—
862C22⋊Q8—44no—
863C4×Q8—28no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—48no—
869C4×Q8—48no—
870C4×Q8—44no—
871C4×Q8—48no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×D4—24no—
876C4×D4—42no—
877C4×D4—42no—
878#117—24no—
879#117—24no—
880#117—44no—
881#117—44no—
882#117—44no—
883C2×C4⋊C4—24no—
884C2×C4⋊C4—42no—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C42—24no—
998C2×C42—24no—
999C2×C42—44no—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2414yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134C24C2511yescharacteristic
1135C24C2511yescharacteristic
1136C2×Q8—24no—
1137C2×Q8—22no—
1138C2×Q8—28no—
1139C2×Q8—24no—
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—28no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—42no—
1151C2×Q8—44no—
1152C2×Q8—42no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×Q8—42no—
1156C2×Q8—44no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×D4—22no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—42no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—42no—
1186C22×C42−1+414yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2514yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C4⋊C4—22no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—28no—
1224C4⋊C4—28no—
1225C4⋊C4—24no—
1226C4⋊C4—22no—
1227C4⋊C4—28no—
1228C4⋊C4—28no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4H(5,𝔽2)14yes—
1307C4⋊C42−1+414yes—
1308C22⋊C4—24no—
1309C22⋊C4—22no—
1310C22⋊C4—28no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—22no—
1315C22⋊C4—24no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C42—24no—
1333C42—24no—
1334C42—24no—
1335C42—24no—
1336C42—28no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—24no—
1345C42—22no—
1346C42—24no—
1347C42—24no—
1348C42—22no—
1349C42—24no—
1350C42—22no—
1351C42—22no—
1352C42—24no—
1353C42—24no—
1354C42—42no—
1355C42—42no—
1356C42—41no—
1357C42—42no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42—44no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—42no—
1366C42—44no—
1367C422−1+414yes—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23C2×2−1+412yes—
1382C23C2611yescharacteristic
1383Q8—48no—
1384Q8—48no—
1385Q8—44no—
1386Q8—44no—
1387Q8—88no—
1388Q8—88no—
1389Q8—84no—
1390Q8—164no—
1391D4—44no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—22no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—22no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—28no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—24no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—21no—
1411C2×C4—22no—
1412C2×C4—24no—
1413C2×C4—24no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—21no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—84no—
1485C2×C4—82no—
1486C2×C4—82no—
1487C2×C4—84no—
1488C2×C4C2×H(5,𝔽2)14yes—
1489C2×C4C2×H(5,𝔽2)12yes—
1490C2×C4C2×2−1+412yes—
1491C2×C4C2×2−1+412yes—
1492C2×C4C2×2−1+414yes—
1493C2×C4C2×2−1+412yes—
1494C2×C4C2×2−1+412yes—
1495C2×C4C2×2−1+412yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4#58512yes—
1498C2×C4#58512yes—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22C22×H(5,𝔽2)11yescharacteristic
1514C22C22×2−1+411yescharacteristic
1515C22C22×2−1+411yescharacteristic
1516C22C22×2−1+411yescharacteristic
1517C22C2×#58511yescharacteristic
1518C22C2×#58511yescharacteristic
1519C222−1+611yescharacteristic
1520C4—22no—
1521C4—24no—
1522C4—22no—
1523C4—24no—
1524C4—22no—
1525C4—41no—
1526C4—44no—
1527C4—42no—
1528C4—41no—
1529C4—41no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—44no—
1534C4—42no—
1535C4—42no—
1536C4—42no—
1537C4—44no—
1538C4—41no—
1539C4—42no—
1540C4—42no—
1541C4—41no—
1542C4—44no—
1543C4—42no—
1544C4—42no—
1545C4—41no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—41no—
1550C4—41no—
1551C4#355214yes—
1552C4#355514yes—
1553C2—42no—
1554C2—81no—
1555C2C2×#355211yescharacteristic
1556C2C2×#355511yescharacteristic
1557C2#6276111yescharacteristic
1558C2#6292111yescharacteristic
1559C2#6294711yescharacteristic
1560C2#6295911yescharacteristic
1561C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59832C2semidirect
2. #59714C2semidirect
3. #59245C2semidirect
4. #59245C2semidirect
5. #59081C2semidirect
7. #54475C2semidirect
8. #53150C2semidirect
10. #53002C2semidirect
11. #52965C2semidirect
12. #52704C2semidirect
13. #42793C2semidirect
14. #42782C2semidirect
16. #42610C2semidirect
17. #41194C2semidirect
18. #40227C2semidirect
19. #40028C2semidirect
20. #39680C2semidirect
21. #39353C2semidirect
22. #39181C2semidirect
23. #39180C2semidirect
24. #39159C2semidirect
26. #37630C2semidirect
27. #37630C2semidirect
28. #37624C2semidirect
30. #36599C2semidirect
31. #36314C2semidirect
33. #34938C2semidirect

Maximal subgroups

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

subgroupindex
#598322
#597142
#592452
#590812
#589552
#544752
#531502
#531192
#530022
#529652
#527042
#427932
#427822
#427562
#426102
#411942
#402272
#400282
#396802
#393532
#391812
#391802
#391592
#377092
#376302
#376242
#375092
#365992
#363142
#362102
#349382
#348032
#347722