Finite Group Databasebeta

← #8425232

Subgroups — #8425232

Order 512.

4171 conjugacy classes of subgroups.

The subgroup lattice has 1546 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59832C211yesmaximal, characteristic, complemented
2#59749C212yesmaximal
3#59464C211yesmaximal, characteristic, complemented
4#59464C211yesmaximal, characteristic, complemented
5#59081C212yesmaximal, complemented
6#58932C214yesmaximal, complemented
7#54323C214yesmaximal, complemented
8#53140C212yesmaximal, complemented
9#53114C212yesmaximal
10#53013C212yesmaximal, complemented
11#52998C212yesmaximal
12#52580C214yesmaximal, complemented
13#42822C212yesmaximal, complemented
14#42793C212yesmaximal, complemented
15#42779C212yesmaximal, complemented
16#42553C212yesmaximal, complemented
17#40854C214yesmaximal, complemented
18#39653C212yesmaximal, complemented
19#39641C211yesmaximal, characteristic, complemented
20#39385C211yesmaximal, characteristic
21#39223C212yesmaximal, complemented
22#39200C211yesmaximal, characteristic
23#38984C211yesmaximal, characteristic, complemented
24#38236C212yesmaximal
25#37793C212yesmaximal, complemented
26#37631C211yesmaximal, characteristic
27#37630C212yesmaximal, complemented
28#37628C211yesmaximal, characteristic
29#37526C212yesmaximal, complemented
30#36598C211yesmaximal, characteristic, complemented
31#36454C211yesmaximal, characteristic
32#36313C211yesmaximal, characteristic, complemented
33#34929C211yesmaximal, characteristic
34#34920C211yesmaximal, characteristic, complemented
35#34893C211yesmaximal, characteristic
36C2×Q82C2212yes—
37C2×#541C2212yes—
38C2×#533C2212yes—
39#2868C2211yescharacteristic
40#2863C2212yes—
41#2862C2211yescharacteristic
42#2862C2211yescharacteristic
43#2855C2212yes—
44#2845C2214yes—
45#2839C2214yes—
46#2839C2214yes—
47#2839C2214yes—
48#2838C2214yes—
49#2836C2214yes—
50#2836C2214yes—
51#2836C2214yes—
52#2835C2214yes—
53#2834C2214yes—
54#2831C2214yes—
55#2831C2214yes—
56#2831C2214yes—
57#2821C2214yes—
58#2806C2214yes—
59#2802C2214yes—
60#2802C2214yes—
61#2798C2214yes—
62#2791C2214yes—
63#2791C2214yes—
64#2789C2214yes—
65#2783C2214yes—
66#2777C2214yes—
67#2774C2214yes—
68#2774C2214yes—
69#2773C2214yes—
70#2772C2214yes—
71#2771C2214yes—
72#2767C2214yes—
73#2766C2214yes—
74#2765C2214yes—
75#2762C2214yes—
76#2759C2214yes—
77#2755C2214yes—
78#2755C2214yes—
79#2755C2214yes—
80#2754C2214yes—
81#2754C2214yes—
82#2734C2214yes—
83#2729C2214yes—
84#2729C2214yes—
85#2726C2214yes—
86#2721C2214yes—
87#2721C2214yes—
88#2719C2214yes—
89#2716C2214yes—
90#2716C2214yes—
91#2713C2214yes—
92#2713C2214yes—
93#2698C2214yes—
94#2689C2214yes—
95#2666C2214yes—
96#2666C2214yes—
97#2666C2214yes—
98#2655C2214yes—
99#2655C2214yes—
100#2655C2214yes—
101#2654C2214yes—
102#2650C2214yes—
103#2647C2212yes—
104#2647C2212yes—
105#2645C2214yes—
106#2645C2212yes—
107#2645C2212yes—
108#2644C2212yes—
109#2642C2214yes—
110#2640C2212yes—
111#2634C2214yes—
112#2628C2212yes—
113#2625C2212yes—
114#2625C2212yes—
115#2625C2212yes—
116#2621C2212yes—
117#2621C2212yes—
118#2604C2214yes—
119#2592C2212yes—
120#2590C2212yes—
121#2589C2212yes—
122#2588C2212yes—
123#2588C2214yes—
124#2588C2214yes—
125#2587C2212yes—
126#2584C2211yescharacteristic
127#2584C2211yescharacteristic
128#2582C2212yes—
129#2582C2212yes—
130#2582C2212yes—
131#2581C2212yes—
132#2581C2211yescharacteristic
133#2580C2211yescharacteristic
134#2577C2214yes—
135#2575C2214yes—
136#2571C2212yes—
137#2571C2211yescharacteristic
138#2570C2212yes—
139#2570C2212yes—
140#2568C2212yes—
141#2568C2212yes—
142#2568C2212yes—
143#2568C2212yes—
144#2568C2211yescharacteristic
145#2566C2211yescharacteristic
146#2565C2211yescharacteristic
147#2556C2214yes—
148#2556C2214yes—
149#2552C2212yes—
150#2552C2212yes—
151#2551C2212yes—
152#2551C2211yescharacteristic
153#2551C2211yescharacteristic
154#2550C2212yes—
155#2550C2211yescharacteristic
156#2550C2212yes—
157#2550C2214yes—
158#2550C2211yescharacteristic
159#2547C2211yescharacteristic
160#2546C2212yes—
161#2546C2212yes—
162#2546C2211yescharacteristic
163#2546C2212yes—
164#2546C2212yes—
165#2546C2211yescharacteristic
166#2542C2211yescharacteristic
167#2542C2211yescharacteristic
168#2538C2211yescharacteristic
169#2529C2214yes—
170#2528C2214yes—
171#2524C2214yes—
172#2523C2214yes—
173#2522C2212yes—
174#2520C2212yes—
175#2517C2214yes—
176#2517C2214yes—
177#2514C2212yes—
178#2514C2212yes—
179#2514C2212yes—
180#2513C2212yes—
181#2512C2212yes—
182#2512C2212yes—
183#2511C2212yes—
184#2511C2212yes—
185#2511C2212yes—
186#2511C2212yes—
187#2511C2212yes—
188#2509C2212yes—
189#2509C2212yes—
190#2509C2211yescharacteristic
191#2508C2212yes—
192#2508C2212yes—
193#2508C2211yescharacteristic
194#2507C2212yes—
195#2507C2212yes—
196#2507C2211yescharacteristic
197#2507C2212yes—
198#2506C2211yescharacteristic
199#2506C2212yes—
200#2494C2212yes—
201#2492C2212yes—
202#2492C2212yes—
203#2492C2212yes—
204#2489C2212yes—
205#2478C2214yes—
206#2478C2214yes—
207#2465C2212yes—
208#2462C2214yes—
209#2462C2212yes—
210#2454C2211yescharacteristic
211#2453C2212yes—
212#2453C2212yes—
213#2453C2214yes—
214#2453C2212yes—
215#2453C2211yescharacteristic
216#2453C2214yes—
217#2452C2212yes—
218#2452C2211yescharacteristic
219#2451C2212yes—
220#2451C2214yes—
221#2451C2212yes—
222#2451C2212yes—
223#2451C2212yes—
224#2451C2212yes—
225#2451C2211yescharacteristic
226#2451C2212yes—
227#2448C2212yes—
228#2448C2212yes—
229#2447C2212yes—
230#2446C2212yes—
231#2446C2212yes—
232#2446C2212yes—
233#2446C2212yes—
234#2446C2212yes—
235#2446C2214yes—
236#2446C2212yes—
237#2446C2214yes—
238#2439C2214yes—
239#2429C2212yes—
240#2429C2212yes—
241#2429C2212yes—
242#2429C2212yes—
243#2423C2212yes—
244#2421C2212yes—
245#2421C2212yes—
246#2402C2212yes—
247#2399C2212yes—
248#2396C2212yes—
249#2396C2212yes—
250#2396C2214yes—
251#2369C2212yes—
252#2369C2212yes—
253#2367C2212yes—
254#2365C2211yescharacteristic
255#2365C2211yescharacteristic
256#2365C2212yes—
257#2365C2212yes—
258#2365C2211yescharacteristic
259#2365C2211yescharacteristic
260#2365C2211yescharacteristic
261#2365C2212yes—
262#2365C2211yescharacteristic
263#2362C2214yes—
264#2356C2212yes—
265#2355C2212yes—
266#2355C2212yes—
267#2355C2212yes—
268#2351C2212yes—
269#2351C2212yes—
270#2336C2214yes—
271#2330C2212yes—
272#2323C2212yes—
273#2320C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2212yes—
279C4×C4⋊Q8C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#125C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×#125C2211yescharacteristic
284C4×#125C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288#2296C2212yes—
289#2295C2211yescharacteristic
290#2295C2212yes—
291#2295C2212yes—
292#2295C2211yescharacteristic
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2293C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299Q82—48no—
300#541—48no—
301#533—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#124C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2314yes—
360C2×#117C2312yes—
361C22×C42C2312yes—
362#401C2314yes—
363#401C2314yes—
364#401C2314yes—
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#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#399C2312yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#399C2314yes—
408#398C2312yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
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#396C2312yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#395C2312yes—
477#395C2314yes—
478#395C2312yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2312yes—
486#395C2312yes—
487#395C2314yes—
488#395C2312yes—
489#395C2312yes—
490#393C2314yes—
491#393C2314yes—
492#393C2312yes—
493#393C2314yes—
494#393C2314yes—
495#393C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2314yes—
539#391C2314yes—
540#391C2314yes—
541#391C2312yes—
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2314yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2314yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2314yes—
615#389C2312yes—
616#389C2314yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2311yescharacteristic
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2314yes—
683#387C2312yes—
684#387C2312yes—
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#387C2312yes—
699#387C2312yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2312yes—
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#383C2314yes—
723#383C2314yes—
724#383C2314yes—
725#382C2311yescharacteristic
726#382C2311yescharacteristic
727#382C2311yescharacteristic
728#382C2311yescharacteristic
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2314yes—
733#382C2314yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2314yes—
740#382C2314yes—
741#382C2314yes—
742#381C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2311yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×D4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C4⋊Q8—28no—
827C4⋊Q8—24no—
828C4⋊Q8—24no—
829C4⋊Q8—24no—
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—44no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—48no—
840C4⋊Q8—48no—
841C4⋊Q8—48no—
842#126—48no—
843#126—48no—
844#125—24no—
845#125—24no—
846#125—28no—
847#125—42no—
848#125—42no—
849#125—48no—
850#125—48no—
851#125—48no—
852#124—44no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—48no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C4×Q8—24no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—42no—
866C4×Q8—42no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—48no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—42no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—48no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×D4—24no—
880C4×D4—24no—
881C4×D4—42no—
882#117—44no—
883#117—44no—
884#117—48no—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C42—44no—
1001C2×C42C2412yes—
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2414yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042#95C2412yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2411yescharacteristic
1066#95C2412yes—
1067#95C2411yescharacteristic
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2412yes—
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2412yes—
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
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—
1134#95C2414yes—
1135#95C2414yes—
1136C24C2512yes—
1137C2×Q8—24no—
1138C2×Q8—22no—
1139C2×Q8—24no—
1140C2×Q8—28no—
1141C2×Q8—24no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—42no—
1155C2×Q8—41no—
1156C2×Q8—41no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—42no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4C2512yes—
1177C22×C4C2514yes—
1178C22×C4C2511yescharacteristic
1179C22×C4C2512yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2511yescharacteristic
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2511yescharacteristic
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2514yes—
1195C22×C4C2512yes—
1196C22×C4C2514yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C4⋊C4—28no—
1211C4⋊C4—24no—
1212C4⋊C4—28no—
1213C4⋊C4—22no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—22no—
1217C4⋊C4—28no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—28no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—41no—
1266C4⋊C4—42no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—42no—
1271C4⋊C4—41no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—41no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4H(5,𝔽2)14yes—
1304C4⋊C42−1+414yes—
1305C4⋊C42−1+414yes—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—42no—
1312C22⋊C4—44no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C42—22no—
1326C42—24no—
1327C42—24no—
1328C42—22no—
1329C42—24no—
1330C42—28no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—24no—
1337C42—28no—
1338C42—24no—
1339C42—24no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—24no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—24no—
1349C42—24no—
1350C42—22no—
1351C42—42no—
1352C42—42no—
1353C42—41no—
1354C42—41no—
1355C42—41no—
1356C42—42no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42—42no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C422−1+414yes—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23C2611yescharacteristic
1374Q8—48no—
1375Q8—44no—
1376Q8—48no—
1377Q8—44no—
1378Q8—48no—
1379Q8—48no—
1380Q8—88no—
1381Q8—84no—
1382Q8—164no—
1383D4—44no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—22no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—21no—
1392C2×C4—22no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—24no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—24no—
1406C2×C4—22no—
1407C2×C4—24no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—48no—
1475C2×C4—48no—
1476C2×C4—84no—
1477C2×C4C2×H(5,𝔽2)14yes—
1478C2×C4C2×H(5,𝔽2)12yes—
1479C2×C4C2×2−1+412yes—
1480C2×C4C2×2−1+414yes—
1481C2×C4C2×2−1+412yes—
1482C2×C4C2×2−1+412yes—
1483C2×C4C2×2−1+412yes—
1484C2×C4C2×2−1+412yes—
1485C2×C4C2×2−1+412yes—
1486C2×C4C2×2−1+412yes—
1487C2×C4#58512yes—
1488C2×C4#58512yes—
1489C22—42no—
1490C22—42no—
1491C22—42no—
1492C22—42no—
1493C22—42no—
1494C22—42no—
1495C22—42no—
1496C22C22×H(5,𝔽2)11yescharacteristic
1497C22C22×2−1+411yescharacteristic
1498C22C22×2−1+411yescharacteristic
1499C22C22×2−1+411yescharacteristic
1500C22C2×#58511yescharacteristic
1501C22C2×#58511yescharacteristic
1502C222−1+611yescharacteristic
1503C4—22no—
1504C4—24no—
1505C4—22no—
1506C4—22no—
1507C4—24no—
1508C4—22no—
1509C4—42no—
1510C4—44no—
1511C4—42no—
1512C4—44no—
1513C4—44no—
1514C4—41no—
1515C4—42no—
1516C4—42no—
1517C4—42no—
1518C4—42no—
1519C4—42no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—42no—
1525C4—41no—
1526C4—44no—
1527C4—42no—
1528C4—42no—
1529C4—42no—
1530C4—42no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—42no—
1535C4#355414yes—
1536C4#355514yes—
1537C2—82no—
1538C2C2×#355411yescharacteristic
1539C2C2×#355511yescharacteristic
1540C2#6276111yescharacteristic
1541C2#6292111yescharacteristic
1542C2#6294711yescharacteristic
1543C2#6295311yescharacteristic
1544C2#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. #59832C2semidirect
3. #59464C2semidirect
4. #59464C2semidirect
5. #59081C2semidirect
6. #58932C2semidirect
7. #54323C2semidirect
8. #53140C2semidirect
10. #53013C2semidirect
12. #52580C2semidirect
13. #42822C2semidirect
14. #42793C2semidirect
15. #42779C2semidirect
16. #42553C2semidirect
17. #40854C2semidirect
18. #39653C2semidirect
19. #39641C2semidirect
21. #39223C2semidirect
23. #38984C2semidirect
25. #37793C2semidirect
27. #37630C2semidirect
29. #37526C2semidirect
30. #36598C2semidirect
32. #36313C2semidirect
34. #34920C2semidirect

Maximal subgroups

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

subgroupindex
#598322
#597492
#594642
#590812
#589322
#543232
#531402
#531142
#530132
#529982
#525802
#428222
#427932
#427792
#425532
#408542
#396532
#396412
#393852
#392232
#392002
#389842
#382362
#377932
#376312
#376302
#376282
#375262
#365982
#364542
#363132
#349292
#349202
#348932