Finite Group Databasebeta

← #8464340

Subgroups — #8464340

Order 512.

4217 conjugacy classes of subgroups.

The subgroup lattice has 1552 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#58665C214yesmaximal, complemented
5#56781C214yesmaximal, complemented
6#53577C214yesmaximal, complemented
7#53013C212yesmaximal, complemented
8#52996C212yesmaximal, complemented
9#51390C214yesmaximal, complemented
10#46153C212yesmaximal, complemented
11#45674C212yesmaximal, complemented
12#45324C212yesmaximal, complemented
13#45280C212yesmaximal, complemented
14#42840C212yesmaximal, complemented
15#42840C212yesmaximal, complemented
16#42704C212yesmaximal
17#42638C212yesmaximal
18#40059C212yesmaximal
19#39753C211yesmaximal, characteristic, complemented
20#39683C212yesmaximal, complemented
21#39599C212yesmaximal, complemented
22#39192C211yesmaximal, characteristic
23#39192C211yesmaximal, characteristic
24#39180C211yesmaximal, characteristic, complemented
25#37793C212yesmaximal, complemented
26#37628C211yesmaximal, characteristic
27#37337C212yesmaximal
28#37323C212yesmaximal, complemented
29#36563C211yesmaximal, characteristic, complemented
30#36447C211yesmaximal, characteristic, complemented
31#36134C211yesmaximal, characteristic
32#35209C211yesmaximal, characteristic
33#35176C211yesmaximal, characteristic
34#34951C211yesmaximal, characteristic, complemented
35#34893C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#541C2212yes—
38C2×#533C2212yes—
39#2868C2211yescharacteristic
40#2860C2212yes—
41#2859C2212yes—
42#2859C2211yescharacteristic
43#2859C2211yescharacteristic
44#2859C2212yes—
45#2857C2212yes—
46#2857C2212yes—
47#2855C2212yes—
48#2845C2214yes—
49#2839C2214yes—
50#2839C2214yes—
51#2839C2214yes—
52#2839C2214yes—
53#2836C2214yes—
54#2836C2214yes—
55#2836C2214yes—
56#2810C2214yes—
57#2809C2214yes—
58#2805C2214yes—
59#2802C2214yes—
60#2802C2214yes—
61#2802C2214yes—
62#2799C2214yes—
63#2798C2214yes—
64#2798C2214yes—
65#2791C2214yes—
66#2791C2214yes—
67#2791C2214yes—
68#2783C2214yes—
69#2774C2214yes—
70#2772C2214yes—
71#2772C2214yes—
72#2755C2214yes—
73#2755C2214yes—
74#2754C2214yes—
75#2747C2214yes—
76#2747C2214yes—
77#2726C2214yes—
78#2726C2214yes—
79#2726C2214yes—
80#2726C2214yes—
81#2726C2214yes—
82#2726C2214yes—
83#2726C2214yes—
84#2726C2214yes—
85#2726C2214yes—
86#2725C2214yes—
87#2725C2214yes—
88#2725C2214yes—
89#2722C2214yes—
90#2721C2214yes—
91#2721C2214yes—
92#2721C2214yes—
93#2719C2214yes—
94#2719C2214yes—
95#2713C2214yes—
96#2704C2214yes—
97#2704C2214yes—
98#2698C2214yes—
99#2698C2214yes—
100#2690C2214yes—
101#2690C2214yes—
102#2690C2214yes—
103#2689C2214yes—
104#2689C2214yes—
105#2667C2214yes—
106#2664C2214yes—
107#2664C2214yes—
108#2664C2214yes—
109#2660C2212yes—
110#2654C2214yes—
111#2654C2214yes—
112#2654C2214yes—
113#2647C2212yes—
114#2647C2212yes—
115#2644C2212yes—
116#2629C2214yes—
117#2625C2212yes—
118#2625C2212yes—
119#2625C2212yes—
120#2621C2212yes—
121#2590C2214yes—
122#2590C2214yes—
123#2589C2212yes—
124#2588C2214yes—
125#2588C2214yes—
126#2587C2212yes—
127#2585C2212yes—
128#2585C2212yes—
129#2584C2211yescharacteristic
130#2584C2214yes—
131#2584C2212yes—
132#2582C2212yes—
133#2582C2212yes—
134#2582C2214yes—
135#2582C2211yescharacteristic
136#2582C2212yes—
137#2580C2211yescharacteristic
138#2571C2212yes—
139#2571C2211yescharacteristic
140#2570C2212yes—
141#2570C2212yes—
142#2570C2212yes—
143#2568C2211yescharacteristic
144#2567C2212yes—
145#2566C2211yescharacteristic
146#2565C2212yes—
147#2552C2212yes—
148#2552C2211yescharacteristic
149#2552C2212yes—
150#2552C2211yescharacteristic
151#2552C2212yes—
152#2552C2212yes—
153#2552C2212yes—
154#2552C2212yes—
155#2552C2211yescharacteristic
156#2550C2212yes—
157#2550C2212yes—
158#2550C2212yes—
159#2550C2211yescharacteristic
160#2550C2212yes—
161#2546C2212yes—
162#2546C2211yescharacteristic
163#2546C2211yescharacteristic
164#2546C2211yescharacteristic
165#2546C2212yes—
166#2546C2211yescharacteristic
167#2542C2212yes—
168#2542C2211yescharacteristic
169#2538C2211yescharacteristic
170#2538C2211yescharacteristic
171#2538C2211yescharacteristic
172#2522C2212yes—
173#2522C2214yes—
174#2519C2214yes—
175#2519C2214yes—
176#2513C2212yes—
177#2513C2212yes—
178#2513C2212yes—
179#2512C2212yes—
180#2512C2212yes—
181#2512C2212yes—
182#2511C2212yes—
183#2511C2212yes—
184#2511C2211yescharacteristic
185#2511C2211yescharacteristic
186#2509C2212yes—
187#2509C2212yes—
188#2509C2211yescharacteristic
189#2509C2212yes—
190#2509C2212yes—
191#2509C2212yes—
192#2508C2212yes—
193#2508C2214yes—
194#2507C2212yes—
195#2507C2212yes—
196#2507C2212yes—
197#2507C2212yes—
198#2507C2212yes—
199#2507C2212yes—
200#2507C2211yescharacteristic
201#2507C2212yes—
202#2507C2212yes—
203#2506C2214yes—
204#2506C2212yes—
205#2506C2212yes—
206#2506C2212yes—
207#2506C2212yes—
208#2506C2214yes—
209#2506C2212yes—
210#2506C2212yes—
211#2496C2212yes—
212#2496C2212yes—
213#2489C2212yes—
214#2478C2214yes—
215#2478C2214yes—
216#2469C2214yes—
217#2465C2212yes—
218#2462C2214yes—
219#2462C2214yes—
220#2454C2211yescharacteristic
221#2454C2212yes—
222#2453C2212yes—
223#2453C2214yes—
224#2453C2212yes—
225#2453C2214yes—
226#2452C2211yescharacteristic
227#2451C2212yes—
228#2451C2212yes—
229#2451C2212yes—
230#2446C2211yescharacteristic
231#2446C2212yes—
232#2446C2212yes—
233#2446C2212yes—
234#2446C2212yes—
235#2446C2211yescharacteristic
236#2441C2214yes—
237#2429C2212yes—
238#2429C2212yes—
239#2429C2212yes—
240#2429C2214yes—
241#2429C2212yes—
242#2429C2212yes—
243#2423C2212yes—
244#2423C2212yes—
245#2423C2212yes—
246#2421C2212yes—
247#2402C2212yes—
248#2402C2212yes—
249#2396C2212yes—
250#2396C2212yes—
251#2382C2214yes—
252#2370C2212yes—
253#2370C2212yes—
254#2369C2212yes—
255#2365C2212yes—
256#2365C2212yes—
257#2365C2212yes—
258#2365C2212yes—
259#2355C2211yescharacteristic
260#2355C2211yescharacteristic
261#2355C2212yes—
262#2354C2212yes—
263#2351C2212yes—
264Q8×C4⋊C4C2211yescharacteristic
265Q8×C4⋊C4C2212yes—
266Q8×C4⋊C4C2211yescharacteristic
267Q8×C4⋊C4C2211yescharacteristic
268Q8×C4⋊C4C2211yescharacteristic
269Q8×C4⋊C4C2212yes—
270#2331C2212yes—
271#2330C2212yes—
272#2330C2212yes—
273#2323C2212yes—
274#2323C2212yes—
275#2323C2212yes—
276#2323C2214yes—
277#2319C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×C4⋊Q8C2211yescharacteristic
284C4×C4⋊Q8C2211yescharacteristic
285C4×#125C2212yes—
286C4×#125C2211yescharacteristic
287C4×#125C2211yescharacteristic
288C4×#125C2212yes—
289C4×C22⋊Q8C2212yes—
290#2296C2212yes—
291#2295C2212yes—
292#2295C2211yescharacteristic
293#2295C2211yescharacteristic
294#2293C2211yescharacteristic
295#2293C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#557—48no—
300#541—48no—
301#533—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2314yes—
364C2×#117C2312yes—
365C22×C42C2312yes—
366#400C2312yes—
367#400C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2312yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#399C2312yes—
398#399C2312yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#396C2312yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2312yes—
486#395C2314yes—
487#395C2314yes—
488#395C2312yes—
489#395C2314yes—
490#393C2312yes—
491#393C2312yes—
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2314yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2311yescharacteristic
511#391C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2314yes—
518#391C2311yescharacteristic
519#391C2314yes—
520#391C2312yes—
521#391C2314yes—
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
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#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2314yes—
596#389C2314yes—
597#389C2311yescharacteristic
598#389C2314yes—
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2314yes—
605#389C2311yescharacteristic
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2312yes—
622#389C2314yes—
623#389C2312yes—
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#387C2312yes—
648#387C2312yes—
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#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2312yes—
703#387C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2314yes—
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2314yes—
726#384C2312yes—
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#382C2311yescharacteristic
731#382C2312yes—
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2314yes—
738#382C2314yes—
739#382C2314yes—
740#382C2312yes—
741#382C2312yes—
742#381C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
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—24no—
825C4⋊Q8—28no—
826C4⋊Q8—24no—
827C4⋊Q8—24no—
828C4⋊Q8—24no—
829C4⋊Q8—28no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—42no—
833C4⋊Q8—44no—
834C4⋊Q8—82no—
835#126—48no—
836#126—48no—
837#126—84no—
838#126—84no—
839#125—28no—
840#125—24no—
841#125—28no—
842#125—24no—
843#125—44no—
844#125—48no—
845#125—48no—
846#125—48no—
847#125—48no—
848#125—48no—
849#125—48no—
850#125—84no—
851#125—82no—
852#125—82no—
853#125—84no—
854#125—84no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—48no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—84no—
863C4×Q8—28no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—42no—
871C4×Q8—44no—
872C4×Q8—48no—
873C4×Q8—48no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—24no—
884#117—44no—
885#117—44no—
886#117—48no—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C42—44no—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2412yes—
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140C24C2512yes—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—28no—
1153C2×Q8—22no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—42no—
1158C2×Q8—41no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8H(5,𝔽2)14yes—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4C2511yescharacteristic
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2512yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2511yescharacteristic
1184C22×C4C2511yescharacteristic
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2514yes—
1188C22×C4C2512yes—
1189C22×C4C2514yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2514yes—
1193C22×C4C2514yes—
1194C22×C4C2512yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C4⋊C4—24no—
1209C4⋊C4—24no—
1210C4⋊C4—22no—
1211C4⋊C4—28no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—28no—
1217C4⋊C4—28no—
1218C4⋊C4—24no—
1219C4⋊C4—28no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—22no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—41no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C42−1+414yes—
1313C4⋊C42−1+414yes—
1314C22⋊C4—28no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C42—22no—
1334C42—24no—
1335C42—22no—
1336C42—28no—
1337C42—24no—
1338C42—24no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—24no—
1345C42—22no—
1346C42—24no—
1347C42—24no—
1348C42—22no—
1349C42—24no—
1350C42—24no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—24no—
1355C42—22no—
1356C42—22no—
1357C42—42no—
1358C42—42no—
1359C42—44no—
1360C42—44no—
1361C42—42no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—41no—
1367C42—41no—
1368C42—42no—
1369C42—44no—
1370C42—44no—
1371C42—41no—
1372C422−1+414yes—
1373C422−1+414yes—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23C2611yescharacteristic
1382Q8—28no—
1383Q8—48no—
1384Q8—44no—
1385Q8—44no—
1386Q8—48no—
1387Q8—44no—
1388Q8—88no—
1389D4—44no—
1390C2×C4—22no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—22no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—24no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—48no—
1479C2×C4—48no—
1480C2×C4—84no—
1481C2×C4C2×H(5,𝔽2)14yes—
1482C2×C4C2×H(5,𝔽2)12yes—
1483C2×C4C2×2−1+412yes—
1484C2×C4C2×2−1+412yes—
1485C2×C4C2×2−1+412yes—
1486C2×C4C2×2−1+412yes—
1487C2×C4C2×2−1+412yes—
1488C2×C4C2×2−1+412yes—
1489C2×C4C2×2−1+414yes—
1490C2×C4C2×2−1+412yes—
1491C2×C4C2×2−1+412yes—
1492C2×C4C2×2−1+412yes—
1493C2×C4C2×2−1+412yes—
1494C2×C4#58512yes—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22C22×H(5,𝔽2)11yescharacteristic
1503C22C22×2−1+411yescharacteristic
1504C22C22×2−1+411yescharacteristic
1505C22C22×2−1+411yescharacteristic
1506C22C22×2−1+411yescharacteristic
1507C22C2×#58511yescharacteristic
1508C22H(7,𝔽2)11yescharacteristic
1509C4—24no—
1510C4—22no—
1511C4—24no—
1512C4—22no—
1513C4—22no—
1514C4—22no—
1515C4—22no—
1516C4—22no—
1517C4—42no—
1518C4—42no—
1519C4—44no—
1520C4—42no—
1521C4—41no—
1522C4—42no—
1523C4—42no—
1524C4—42no—
1525C4—41no—
1526C4—41no—
1527C4—42no—
1528C4—41no—
1529C4—42no—
1530C4—44no—
1531C4—44no—
1532C4—42no—
1533C4—42no—
1534C4—42no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—42no—
1539C4—42no—
1540C4—44no—
1541C4#355614yes—
1542C4#355914yes—
1543C2—82no—
1544C2C2×#355911yescharacteristic
1545C2C2×#355611yescharacteristic
1546C2#6283711yescharacteristic
1547C2#6291711yescharacteristic
1548C2#6294311yescharacteristic
1549C2#6295211yescharacteristic
1550C2#6301611yescharacteristic
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. #58665C2semidirect
5. #56781C2semidirect
6. #53577C2semidirect
7. #53013C2semidirect
8. #52996C2semidirect
9. #51390C2semidirect
10. #46153C2semidirect
11. #45674C2semidirect
12. #45324C2semidirect
13. #45280C2semidirect
14. #42840C2semidirect
15. #42840C2semidirect
19. #39753C2semidirect
20. #39683C2semidirect
21. #39599C2semidirect
24. #39180C2semidirect
25. #37793C2semidirect
28. #37323C2semidirect
29. #36563C2semidirect
30. #36447C2semidirect
34. #34951C2semidirect

Maximal subgroups

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

subgroupindex
#598282
#596812
#586652
#567812
#535772
#530132
#529962
#513902
#461532
#456742
#453242
#452802
#428402
#427042
#426382
#400592
#397532
#396832
#395992
#391922
#391802
#377932
#376282
#373372
#373232
#365632
#364472
#361342
#352092
#351762
#349512
#348932