Finite Group Databasebeta

← #8424416

Subgroups — #8424416

Order 512.

4159 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59828C211yesmaximal, characteristic, complemented
2#59681C211yesmaximal, characteristic, complemented
3#59681C211yesmaximal, characteristic, complemented
4#59670C212yesmaximal, complemented
5#59071C212yesmaximal, complemented
6#56783C214yesmaximal, complemented
7#55998C214yesmaximal, complemented
8#53140C212yesmaximal, complemented
9#53131C212yesmaximal, complemented
10#52996C212yesmaximal, complemented
11#52965C212yesmaximal, complemented
12#52436C214yesmaximal, complemented
13#42832C212yesmaximal, complemented
14#42791C212yesmaximal, complemented
15#42755C212yesmaximal
16#42614C212yesmaximal
17#41183C214yesmaximal, complemented
18#40220C212yesmaximal, complemented
19#40027C212yesmaximal
20#39637C212yesmaximal, complemented
21#39379C211yesmaximal, characteristic
22#39192C211yesmaximal, characteristic
23#39182C211yesmaximal, characteristic, complemented
24#39181C211yesmaximal, characteristic, complemented
25#37793C212yesmaximal, complemented
26#37628C211yesmaximal, characteristic
27#37628C211yesmaximal, characteristic
28#37571C212yesmaximal
29#37522C212yesmaximal, complemented
30#36584C211yesmaximal, characteristic, complemented
31#36574C211yesmaximal, characteristic, complemented
32#36477C211yesmaximal, characteristic
33#34951C211yesmaximal, characteristic, complemented
34#34929C211yesmaximal, characteristic
35#34893C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#541C2212yes—
38C2×#533C2212yes—
39#2859C2211yescharacteristic
40#2859C2211yescharacteristic
41#2859C2212yes—
42#2859C2211yescharacteristic
43#2855C2212yes—
44#2839C2214yes—
45#2839C2214yes—
46#2839C2214yes—
47#2839C2214yes—
48#2839C2214yes—
49#2839C2214yes—
50#2839C2214yes—
51#2836C2214yes—
52#2836C2214yes—
53#2836C2214yes—
54#2831C2214yes—
55#2831C2214yes—
56#2831C2214yes—
57#2822C2214yes—
58#2810C2214yes—
59#2809C2214yes—
60#2806C2214yes—
61#2805C2214yes—
62#2805C2214yes—
63#2802C2214yes—
64#2802C2214yes—
65#2798C2214yes—
66#2783C2214yes—
67#2783C2214yes—
68#2774C2214yes—
69#2772C2214yes—
70#2772C2214yes—
71#2767C2214yes—
72#2767C2214yes—
73#2755C2214yes—
74#2755C2214yes—
75#2744C2214yes—
76#2726C2214yes—
77#2726C2214yes—
78#2726C2214yes—
79#2726C2214yes—
80#2725C2214yes—
81#2725C2214yes—
82#2725C2214yes—
83#2725C2214yes—
84#2725C2214yes—
85#2725C2214yes—
86#2719C2214yes—
87#2719C2214yes—
88#2719C2214yes—
89#2716C2214yes—
90#2713C2214yes—
91#2713C2214yes—
92#2698C2214yes—
93#2689C2214yes—
94#2689C2214yes—
95#2664C2214yes—
96#2654C2214yes—
97#2654C2214yes—
98#2654C2214yes—
99#2652C2214yes—
100#2652C2214yes—
101#2652C2214yes—
102#2652C2214yes—
103#2652C2214yes—
104#2650C2214yes—
105#2647C2212yes—
106#2647C2212yes—
107#2647C2212yes—
108#2647C2212yes—
109#2644C2212yes—
110#2644C2212yes—
111#2637C2214yes—
112#2629C2212yes—
113#2625C2212yes—
114#2625C2212yes—
115#2625C2212yes—
116#2621C2212yes—
117#2621C2212yes—
118#2608C2214yes—
119#2590C2214yes—
120#2590C2214yes—
121#2590C2214yes—
122#2589C2212yes—
123#2588C2214yes—
124#2587C2212yes—
125#2587C2214yes—
126#2585C2214yes—
127#2585C2214yes—
128#2585C2212yes—
129#2585C2212yes—
130#2585C2214yes—
131#2584C2214yes—
132#2584C2211yescharacteristic
133#2584C2212yes—
134#2584C2212yes—
135#2582C2212yes—
136#2582C2211yescharacteristic
137#2581C2212yes—
138#2581C2212yes—
139#2580C2211yescharacteristic
140#2571C2212yes—
141#2571C2211yescharacteristic
142#2571C2212yes—
143#2571C2211yescharacteristic
144#2571C2212yes—
145#2570C2212yes—
146#2570C2212yes—
147#2570C2212yes—
148#2570C2212yes—
149#2568C2212yes—
150#2568C2211yescharacteristic
151#2566C2211yescharacteristic
152#2566C2212yes—
153#2556C2214yes—
154#2552C2212yes—
155#2552C2211yescharacteristic
156#2551C2211yescharacteristic
157#2551C2212yes—
158#2550C2212yes—
159#2550C2212yes—
160#2550C2211yescharacteristic
161#2546C2212yes—
162#2546C2211yescharacteristic
163#2546C2212yes—
164#2546C2212yes—
165#2546C2211yescharacteristic
166#2546C2211yescharacteristic
167#2546C2211yescharacteristic
168#2542C2211yescharacteristic
169#2538C2211yescharacteristic
170#2538C2211yescharacteristic
171#2538C2211yescharacteristic
172#2522C2212yes—
173#2513C2212yes—
174#2513C2212yes—
175#2513C2212yes—
176#2512C2212yes—
177#2512C2212yes—
178#2512C2212yes—
179#2511C2211yescharacteristic
180#2511C2212yes—
181#2511C2212yes—
182#2511C2211yescharacteristic
183#2509C2212yes—
184#2509C2212yes—
185#2509C2212yes—
186#2509C2212yes—
187#2509C2212yes—
188#2509C2212yes—
189#2509C2211yescharacteristic
190#2509C2212yes—
191#2509C2212yes—
192#2509C2214yes—
193#2509C2212yes—
194#2509C2214yes—
195#2508C2212yes—
196#2508C2212yes—
197#2508C2212yes—
198#2507C2211yescharacteristic
199#2507C2212yes—
200#2507C2212yes—
201#2507C2212yes—
202#2507C2212yes—
203#2507C2212yes—
204#2506C2212yes—
205#2506C2212yes—
206#2506C2212yes—
207#2506C2212yes—
208#2506C2212yes—
209#2497C2212yes—
210#2496C2212yes—
211#2492C2212yes—
212#2489C2214yes—
213#2478C2214yes—
214#2478C2214yes—
215#2475C2214yes—
216#2475C2214yes—
217#2465C2212yes—
218#2462C2214yes—
219#2454C2211yescharacteristic
220#2453C2212yes—
221#2453C2212yes—
222#2453C2212yes—
223#2453C2212yes—
224#2453C2214yes—
225#2453C2214yes—
226#2453C2214yes—
227#2452C2212yes—
228#2452C2211yescharacteristic
229#2451C2212yes—
230#2446C2212yes—
231#2446C2212yes—
232#2446C2212yes—
233#2446C2211yescharacteristic
234#2446C2211yescharacteristic
235#2446C2212yes—
236#2429C2212yes—
237#2429C2212yes—
238#2429C2212yes—
239#2429C2212yes—
240#2429C2214yes—
241#2429C2212yes—
242#2421C2212yes—
243#2421C2212yes—
244#2421C2212yes—
245#2421C2212yes—
246#2402C2212yes—
247#2402C2212yes—
248#2396C2212yes—
249#2396C2212yes—
250#2396C2214yes—
251#2370C2212yes—
252#2370C2212yes—
253#2370C2212yes—
254#2370C2212yes—
255#2370C2212yes—
256#2365C2212yes—
257#2365C2214yes—
258#2365C2212yes—
259#2365C2212yes—
260#2357C2212yes—
261#2355C2211yescharacteristic
262#2355C2211yescharacteristic
263#2351C2212yes—
264#2351C2212yes—
265#2351C2212yes—
266Q8×C4⋊C4C2211yescharacteristic
267Q8×C4⋊C4C2211yescharacteristic
268Q8×C4⋊C4C2211yescharacteristic
269Q8×C4⋊C4C2211yescharacteristic
270#2334C2214yes—
271#2331C2212yes—
272#2331C2212yes—
273#2323C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×#125C2212yes—
284C4×#125C2212yes—
285C4×#125C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2212yes—
289#2296C2212yes—
290#2295C2211yescharacteristic
291#2295C2211yescharacteristic
292#2295C2212yes—
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2293C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#557—48no—
300#541—48no—
301#533—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2314yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2314yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2314yes—
359C22×C42C2312yes—
360#400C2312yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2312yes—
366#400C2314yes—
367#400C2312yes—
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#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#399C2312yes—
405#399C2314yes—
406#399C2312yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2312yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2312yes—
448#398C2314yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2312yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2312yes—
489#395C2312yes—
490#395C2314yes—
491#393C2312yes—
492#393C2314yes—
493#393C2312yes—
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2314yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2314yes—
510#391C2311yescharacteristic
511#391C2314yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2314yes—
519#391C2314yes—
520#391C2312yes—
521#391C2312yes—
522#391C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2314yes—
605#389C2314yes—
606#389C2312yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2314yes—
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2312yes—
703#387C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2314yes—
712#385C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#382C2311yescharacteristic
726#382C2311yescharacteristic
727#382C2312yes—
728#382C2312yes—
729#382C2314yes—
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2314yes—
738#382C2314yes—
739#382C2312yes—
740#382C2314yes—
741#381C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2312yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2414yes—
820C22×D4C2411yescharacteristic
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C4⋊Q8—28no—
825C4⋊Q8—24no—
826C4⋊Q8—24no—
827C4⋊Q8—24no—
828C4⋊Q8—28no—
829C4⋊Q8—24no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—42no—
833C4⋊Q8—44no—
834C4⋊Q8—48no—
835#126—48no—
836#126—48no—
837#126—48no—
838#125—24no—
839#125—28no—
840#125—24no—
841#125—44no—
842#125—44no—
843#125—48no—
844#125—48no—
845#125—44no—
846#125—48no—
847#125—48no—
848#125—48no—
849#125—48no—
850C22⋊Q8—28no—
851C22⋊Q8—48no—
852C22⋊Q8—44no—
853C22⋊Q8—44no—
854C22⋊Q8—44no—
855C22⋊Q8—44no—
856C22⋊Q8—44no—
857C4×Q8—24no—
858C4×Q8—28no—
859C4×Q8—24no—
860C4×Q8—24no—
861C4×Q8—24no—
862C4×Q8—24no—
863C4×Q8—42no—
864C4×Q8—44no—
865C4×Q8—42no—
866C4×Q8—48no—
867C4×Q8—48no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—42no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×D4—24no—
876C4×D4—24no—
877C4×D4—24no—
878#117—44no—
879#117—44no—
880#117—48no—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C42—44no—
1003C2×C42C2412yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2414yes—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2412yes—
1066#95C2412yes—
1067#95C2411yescharacteristic
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2411yescharacteristic
1072#95C2412yes—
1073#95C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2411yescharacteristic
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
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—
1134C24C2512yes—
1135C2×Q8—22no—
1136C2×Q8—24no—
1137C2×Q8—22no—
1138C2×Q8—22no—
1139C2×Q8—22no—
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—28no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—22no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—42no—
1151C2×Q8—41no—
1152C2×Q8—41no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×Q8H(5,𝔽2)14yes—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4C2511yescharacteristic
1169C22×C4C2511yescharacteristic
1170C22×C4C2511yescharacteristic
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2511yescharacteristic
1177C22×C4C2511yescharacteristic
1178C22×C4C2511yescharacteristic
1179C22×C4C2512yes—
1180C22×C4C2514yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2514yes—
1184C22×C4C2512yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2514yes—
1189C22×C4C2512yes—
1190C22×C4C2514yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C4⋊C4—28no—
1203C4⋊C4—24no—
1204C4⋊C4—24no—
1205C4⋊C4—22no—
1206C4⋊C4—28no—
1207C4⋊C4—24no—
1208C4⋊C4—28no—
1209C4⋊C4—24no—
1210C4⋊C4—28no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—24no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—28no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—41no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—44no—
1272C4⋊C4—41no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
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—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C42−1+414yes—
1304C22⋊C4—28no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—44no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C42—22no—
1324C42—24no—
1325C42—24no—
1326C42—22no—
1327C42—24no—
1328C42—28no—
1329C42—22no—
1330C42—22no—
1331C42—24no—
1332C42—24no—
1333C42—24no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—24no—
1339C42—22no—
1340C42—24no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—42no—
1345C42—42no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—42no—
1350C42—44no—
1351C42—41no—
1352C42—41no—
1353C42—42no—
1354C42—44no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—42no—
1360C42—44no—
1361C42—44no—
1362C422−1+414yes—
1363C422−1+414yes—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23C2611yescharacteristic
1372Q8—28no—
1373Q8—48no—
1374Q8—44no—
1375Q8—44no—
1376Q8—48no—
1377Q8—44no—
1378Q8—88no—
1379D4—44no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—24no—
1395C2×C4—21no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—24no—
1402C2×C4—22no—
1403C2×C4—24no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—24no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—48no—
1471C2×C4—48no—
1472C2×C4—84no—
1473C2×C4C2×H(5,𝔽2)14yes—
1474C2×C4C2×H(5,𝔽2)12yes—
1475C2×C4C2×2−1+412yes—
1476C2×C4C2×2−1+412yes—
1477C2×C4C2×2−1+412yes—
1478C2×C4C2×2−1+414yes—
1479C2×C4C2×2−1+412yes—
1480C2×C4C2×2−1+412yes—
1481C2×C4C2×2−1+412yes—
1482C2×C4C2×2−1+412yes—
1483C2×C4#58512yes—
1484C2×C4#58512yes—
1485C22—42no—
1486C22—42no—
1487C22—42no—
1488C22—42no—
1489C22—42no—
1490C22—42no—
1491C22—42no—
1492C22C22×H(5,𝔽2)11yescharacteristic
1493C22C22×2−1+411yescharacteristic
1494C22C22×2−1+411yescharacteristic
1495C22C22×2−1+411yescharacteristic
1496C22C2×#58511yescharacteristic
1497C22C2×#58511yescharacteristic
1498C222−1+611yescharacteristic
1499C4—24no—
1500C4—24no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
1504C4—22no—
1505C4—42no—
1506C4—42no—
1507C4—44no—
1508C4—42no—
1509C4—41no—
1510C4—41no—
1511C4—42no—
1512C4—44no—
1513C4—42no—
1514C4—42no—
1515C4—44no—
1516C4—41no—
1517C4—41no—
1518C4—42no—
1519C4—44no—
1520C4—41no—
1521C4—41no—
1522C4—42no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—42no—
1527C4—42no—
1528C4—42no—
1529C4—42no—
1530C4—42no—
1531C4#355614yes—
1532C4#355914yes—
1533C2—82no—
1534C2C2×#355911yescharacteristic
1535C2C2×#355611yescharacteristic
1536C2#6276111yescharacteristic
1537C2#6291311yescharacteristic
1538C2#6295311yescharacteristic
1539C2#6295611yescharacteristic
1540C2#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. #59828C2semidirect
2. #59681C2semidirect
3. #59681C2semidirect
4. #59670C2semidirect
5. #59071C2semidirect
6. #56783C2semidirect
7. #55998C2semidirect
8. #53140C2semidirect
9. #53131C2semidirect
10. #52996C2semidirect
11. #52965C2semidirect
12. #52436C2semidirect
13. #42832C2semidirect
14. #42791C2semidirect
17. #41183C2semidirect
18. #40220C2semidirect
20. #39637C2semidirect
23. #39182C2semidirect
24. #39181C2semidirect
25. #37793C2semidirect
29. #37522C2semidirect
30. #36584C2semidirect
31. #36574C2semidirect
33. #34951C2semidirect

Maximal subgroups

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

subgroupindex
#598282
#596812
#596702
#590712
#567832
#559982
#531402
#531312
#529962
#529652
#524362
#428322
#427912
#427552
#426142
#411832
#402202
#400272
#396372
#393792
#391922
#391822
#391812
#377932
#376282
#375712
#375222
#365842
#365742
#364772
#349512
#349292
#348932