Finite Group Databasebeta

← #8467017

Subgroups — #8467017

Order 512.

4015 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59442C211yesmaximal, characteristic
2#59435C211yesmaximal, characteristic, complemented
3#59426C211yesmaximal, characteristic, complemented
4#58478C214yesmaximal, complemented
5#58341C214yesmaximal, complemented
6#54905C214yesmaximal, complemented
7#53133C212yesmaximal, complemented
8#53125C212yesmaximal
9#50132C214yesmaximal, complemented
10#46075C212yesmaximal, complemented
11#45523C212yesmaximal, complemented
12#45163C212yesmaximal, complemented
13#45128C212yesmaximal, complemented
14#42785C212yesmaximal, complemented
15#42782C212yesmaximal, complemented
16#42766C212yesmaximal, complemented
17#42687C212yesmaximal, complemented
18#39914C212yesmaximal, complemented
19#39763C211yesmaximal, characteristic
20#39633C211yesmaximal, characteristic, complemented
21#39217C212yesmaximal, complemented
22#39182C211yesmaximal, characteristic, complemented
23#39177C212yesmaximal, complemented
24#38967C211yesmaximal, characteristic, complemented
25#37887C212yesmaximal, complemented
26#37638C211yesmaximal, characteristic, complemented
27#37368C212yesmaximal
28#37364C212yesmaximal, complemented
29#36590C211yesmaximal, characteristic, complemented
30#36563C211yesmaximal, characteristic, complemented
31#36194C211yesmaximal, characteristic, complemented
32#35185C211yesmaximal, characteristic, complemented
33#35177C211yesmaximal, characteristic, complemented
34#34920C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic
36#2868C2211yescharacteristic
37#2864C2212yes—
38#2861C2212yes—
39#2860C2212yes—
40#2859C2211yescharacteristic
41#2859C2211yescharacteristic
42#2857C2212yes—
43#2857C2212yes—
44#2855C2212yes—
45#2838C2214yes—
46#2833C2214yes—
47#2833C2214yes—
48#2832C2214yes—
49#2832C2214yes—
50#2831C2214yes—
51#2814C2214yes—
52#2814C2214yes—
53#2809C2214yes—
54#2805C2214yes—
55#2802C2214yes—
56#2801C2214yes—
57#2800C2214yes—
58#2800C2214yes—
59#2799C2214yes—
60#2795C2214yes—
61#2791C2214yes—
62#2790C2214yes—
63#2788C2214yes—
64#2787C2214yes—
65#2779C2214yes—
66#2776C2214yes—
67#2775C2214yes—
68#2775C2214yes—
69#2774C2214yes—
70#2759C2214yes—
71#2759C2214yes—
72#2759C2214yes—
73#2759C2214yes—
74#2759C2214yes—
75#2758C2214yes—
76#2758C2214yes—
77#2755C2214yes—
78#2754C2214yes—
79#2751C2214yes—
80#2747C2214yes—
81#2746C2214yes—
82#2745C2214yes—
83#2745C2214yes—
84#2744C2214yes—
85#2742C2214yes—
86#2741C2214yes—
87#2739C2214yes—
88#2738C2214yes—
89#2729C2214yes—
90#2725C2214yes—
91#2718C2214yes—
92#2702C2214yes—
93#2702C2214yes—
94#2702C2214yes—
95#2695C2214yes—
96#2695C2214yes—
97#2690C2214yes—
98#2690C2214yes—
99#2689C2214yes—
100#2689C2214yes—
101#2687C2214yes—
102#2665C2214yes—
103#2655C2214yes—
104#2654C2214yes—
105#2650C2214yes—
106#2650C2214yes—
107#2650C2214yes—
108#2647C2212yes—
109#2647C2212yes—
110#2647C2212yes—
111#2647C2212yes—
112#2645C2212yes—
113#2645C2212yes—
114#2645C2214yes—
115#2641C2212yes—
116#2634C2214yes—
117#2628C2212yes—
118#2604C2214yes—
119#2597C2212yes—
120#2595C2212yes—
121#2594C2214yes—
122#2592C2212yes—
123#2592C2211yescharacteristic
124#2590C2214yes—
125#2590C2212yes—
126#2588C2212yes—
127#2585C2214yes—
128#2584C2211yescharacteristic
129#2582C2211yescharacteristic
130#2582C2212yes—
131#2581C2211yescharacteristic
132#2580C2211yescharacteristic
133#2577C2214yes—
134#2577C2214yes—
135#2571C2211yescharacteristic
136#2571C2212yes—
137#2571C2212yes—
138#2571C2211yescharacteristic
139#2570C2211yescharacteristic
140#2570C2212yes—
141#2568C2212yes—
142#2567C2211yescharacteristic
143#2567C2211yescharacteristic
144#2567C2212yes—
145#2565C2211yescharacteristic
146#2563C2211yescharacteristic
147#2563C2211yescharacteristic
148#2563C2212yes—
149#2563C2212yes—
150#2562C2212yes—
151#2552C2212yes—
152#2551C2211yescharacteristic
153#2550C2212yes—
154#2550C2212yes—
155#2550C2212yes—
156#2550C2212yes—
157#2550C2212yes—
158#2550C2211yescharacteristic
159#2544C2211yescharacteristic
160#2538C2211yescharacteristic
161#2538C2211yescharacteristic
162#2538C2212yes—
163#2533C2214yes—
164#2532C2214yes—
165#2532C2214yes—
166#2525C2214yes—
167#2520C2214yes—
168#2520C2212yes—
169#2519C2214yes—
170#2519C2214yes—
171#2516C2212yes—
172#2514C2212yes—
173#2514C2212yes—
174#2514C2212yes—
175#2514C2212yes—
176#2513C2211yescharacteristic
177#2513C2212yes—
178#2513C2212yes—
179#2513C2212yes—
180#2513C2212yes—
181#2513C2212yes—
182#2512C2212yes—
183#2512C2212yes—
184#2511C2214yes—
185#2511C2211yescharacteristic
186#2509C2212yes—
187#2509C2212yes—
188#2509C2212yes—
189#2508C2212yes—
190#2508C2211yescharacteristic
191#2507C2212yes—
192#2507C2212yes—
193#2506C2212yes—
194#2506C2212yes—
195#2506C2211yescharacteristic
196#2502C2212yes—
197#2497C2212yes—
198#2497C2214yes—
199#2497C2212yes—
200#2496C2212yes—
201#2496C2212yes—
202#2496C2212yes—
203#2495C2212yes—
204#2494C2212yes—
205#2494C2212yes—
206#2492C2212yes—
207#2492C2212yes—
208#2492C2214yes—
209#2489C2214yes—
210#2486C2212yes—
211#2485C2212yes—
212#2485C2212yes—
213#2485C2212yes—
214#2469C2214yes—
215#2469C2214yes—
216#2465C2214yes—
217#2462C2212yes—
218#2458C2214yes—
219#2458C2212yes—
220#2454C2212yes—
221#2453C2212yes—
222#2453C2211yescharacteristic
223#2452C2212yes—
224#2452C2212yes—
225#2451C2212yes—
226#2451C2211yescharacteristic
227#2451C2212yes—
228#2451C2212yes—
229#2448C2212yes—
230#2447C2211yescharacteristic
231#2445C2212yes—
232#2445C2211yescharacteristic
233#2442C2212yes—
234#2441C2212yes—
235#2440C2212yes—
236#2439C2212yes—
237#2439C2212yes—
238#2439C2212yes—
239#2439C2212yes—
240#2421C2212yes—
241#2421C2212yes—
242#2415C2212yes—
243#2415C2212yes—
244#2402C2212yes—
245#2399C2212yes—
246#2398C2212yes—
247#2395C2212yes—
248#2378C2214yes—
249#2369C2212yes—
250#2369C2212yes—
251#2362C2212yes—
252#2357C2212yes—
253#2356C2212yes—
254#2355C2212yes—
255#2355C2212yes—
256#2355C2211yescharacteristic
257#2355C2212yes—
258#2354C2211yescharacteristic
259#2354C2211yescharacteristic
260#2354C2211yescharacteristic
261#2352C2212yes—
262Q8×C4⋊C4C2211yescharacteristic
263Q8×C4⋊C4C2212yes—
264D4×C4⋊C4C2211yescharacteristic
265#2347C2212yes—
266#2347C2212yes—
267#2346C2212yes—
268#2334C2214yes—
269#2331C2212yes—
270#2331C2212yes—
271#2330C2212yes—
272#2326C2212yes—
273#2323C2212yes—
274#2319C2212yes—
275#2316C2212yes—
276#2314C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#125C2212yes—
283C4×#125C2211yescharacteristic
284C4×#125C2211yescharacteristic
285C4×#125C2212yes—
286C4×#124C2211yescharacteristic
287C4×#124C2211yescharacteristic
288C4×#123C2212yes—
289#2295C2211yescharacteristic
290#2295C2211yescharacteristic
291#2295C2212yes—
292#2295C2211yescharacteristic
293#2293C2211yescharacteristic
294#2290C2212yes—
295#2285C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×#127C2311yescharacteristic
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2311yescharacteristic
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#124C2311yescharacteristic
317C2×#124C2311yescharacteristic
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2312yes—
347C2×#117C2312yes—
348C22×C4⋊C4C2312yes—
349C22×C42C2312yes—
350#401C2314yes—
351#401C2314yes—
352#401C2314yes—
353#401C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2312yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2312yes—
367#400C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2312yes—
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#399C2312yes—
388#399C2314yes—
389#399C2314yes—
390#398C2312yes—
391#398C2312yes—
392#398C2314yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2312yes—
397#398C2312yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2312yes—
405#398C2314yes—
406#398C2312yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2312yes—
427#397C2312yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2312yes—
448#395C2314yes—
449#395C2314yes—
450#395C2312yes—
451#395C2312yes—
452#395C2314yes—
453#395C2312yes—
454#395C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2312yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2312yes—
472#393C2314yes—
473#393C2314yes—
474#393C2312yes—
475#393C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2314yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2311yescharacteristic
506#391C2314yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2314yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2314yes—
685#386C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2312yes—
702#384C2314yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#383C2314yes—
708#383C2314yes—
709#383C2314yes—
710#383C2314yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2314yes—
724#382C2314yes—
725#382C2312yes—
726#382C2312yes—
727#381C2314yes—
728#381C2314yes—
729#381C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806C43C2312yes—
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C22×Q8C2411yescharacteristic
811C22×Q8C2411yescharacteristic
812C22×Q8C2412yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×Q8C2414yes—
817C22×D4C2411yescharacteristic
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C22×D4C2412yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2414yes—
826C4⋊Q8—24no—
827C4⋊Q8—42no—
828C4⋊Q8—44no—
829C4⋊Q8—44no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—82no—
833#127—42no—
834#126—48no—
835#126—84no—
836#126—84no—
837#125—42no—
838#125—42no—
839#125—44no—
840#125—44no—
841#125—44no—
842#125—84no—
843#124—24no—
844#124—42no—
845#123—44no—
846#123—84no—
847C22⋊Q8—48no—
848C22⋊Q8—44no—
849C22⋊Q8—44no—
850C22⋊Q8—84no—
851C22⋊Q8—84no—
852C4×Q8—24no—
853C4×Q8—24no—
854C4×Q8—24no—
855C4×Q8—28no—
856C4×Q8—42no—
857C4×Q8—44no—
858C4×Q8—42no—
859C4×Q8—42no—
860C4×Q8—44no—
861C4×Q8—42no—
862C4×Q8—82no—
863C4×Q8—82no—
864C4×D4—24no—
865C4×D4—24no—
866C4×D4—24no—
867C4×D4—44no—
868C4×D4—42no—
869C4×D4—44no—
870C4×D4—44no—
871#117—44no—
872#117—44no—
873#117—44no—
874#117—44no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C42—44no—
995C2×C42C2411yescharacteristic
996C2×C42C2412yes—
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2412yes—
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2412yes—
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2412yes—
1071#95C2411yescharacteristic
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124C24C2512yes—
1125C24C2512yes—
1126C2×Q8—22no—
1127C2×Q8—22no—
1128C2×Q8—22no—
1129C2×Q8—22no—
1130C2×Q8—24no—
1131C2×Q8—24no—
1132C2×Q8—22no—
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8—41no—
1136C2×Q8—42no—
1137C2×Q8—41no—
1138C2×Q8—42no—
1139C2×Q8—42no—
1140C2×Q8—42no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×Q8—44no—
1145C2×Q8—44no—
1146C2×Q8—44no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2511yescharacteristic
1177C22×C4C2511yescharacteristic
1178C22×C4C2512yes—
1179C22×C4C2511yescharacteristic
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2514yes—
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2514yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2514yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2514yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—24no—
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—22no—
1231C4⋊C4—28no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—44no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—41no—
1246C4⋊C4—42no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—42no—
1250C4⋊C4—41no—
1251C4⋊C4—42no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C22⋊C4—24no—
1291C22⋊C4—24no—
1292C22⋊C4—24no—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C42—24no—
1326C42—22no—
1327C42—22no—
1328C42—24no—
1329C42—24no—
1330C42—24no—
1331C42—22no—
1332C42—24no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—24no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—42no—
1344C42—42no—
1345C42—44no—
1346C42—44no—
1347C42—44no—
1348C42—44no—
1349C42—41no—
1350C42—41no—
1351C42—42no—
1352C42—44no—
1353C42—42no—
1354C42—41no—
1355C42—41no—
1356C42—44no—
1357C42—44no—
1358C42—42no—
1359C42—44no—
1360C42—42no—
1361C42—41no—
1362C422−1+414yes—
1363C422−1+414yes—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23C2611yescharacteristic
1379Q8—44no—
1380Q8—48no—
1381Q8—44no—
1382Q8—44no—
1383Q8—84no—
1384Q8—164no—
1385Q8—164no—
1386D4—44no—
1387D4—44no—
1388D4—84no—
1389D4—84no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—24no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—48no—
1480C2×C4—48no—
1481C2×C4—84no—
1482C2×C4—84no—
1483C2×C4—164no—
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+412yes—
1490C2×C4#58512yes—
1491C2×C4#58512yes—
1492C2×C4#58512yes—
1493C2×C4#58512yes—
1494C22—42no—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—42no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22C22×2−1+411yescharacteristic
1509C22C22×2−1+411yescharacteristic
1510C22C2×#58511yescharacteristic
1511C22C2×#58511yescharacteristic
1512C22C2×#58511yescharacteristic
1513C22C2×#58511yescharacteristic
1514C22H(7,𝔽2)11yescharacteristic
1515C4—22no—
1516C4—22no—
1517C4—22no—
1518C4—22no—
1519C4—42no—
1520C4—42no—
1521C4—42no—
1522C4—42no—
1523C4—41no—
1524C4—42no—
1525C4—41no—
1526C4—44no—
1527C4—42no—
1528C4—42no—
1529C4—42no—
1530C4—41no—
1531C4—41no—
1532C4—42no—
1533C4—42no—
1534C4—44no—
1535C4—41no—
1536C4—41no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—41no—
1541C4—42no—
1542C4—44no—
1543C4—41no—
1544C4—44no—
1545C4—41no—
1546C4#355514yes—
1547C4#355714yes—
1548C2—82no—
1549C2—82no—
1550C2C2×#355711yescharacteristic
1551C2C2×#355511yescharacteristic
1552C2#6283811yescharacteristic
1553C2#6292611yescharacteristic
1554C2#6292911yescharacteristic
1555C2#6296611yescharacteristic
1556C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#127C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #59435C2semidirect
3. #59426C2semidirect
4. #58478C2semidirect
5. #58341C2semidirect
6. #54905C2semidirect
7. #53133C2semidirect
9. #50132C2semidirect
10. #46075C2semidirect
11. #45523C2semidirect
12. #45163C2semidirect
13. #45128C2semidirect
14. #42785C2semidirect
15. #42782C2semidirect
16. #42766C2semidirect
17. #42687C2semidirect
18. #39914C2semidirect
20. #39633C2semidirect
21. #39217C2semidirect
22. #39182C2semidirect
23. #39177C2semidirect
24. #38967C2semidirect
25. #37887C2semidirect
26. #37638C2semidirect
28. #37364C2semidirect
29. #36590C2semidirect
30. #36563C2semidirect
31. #36194C2semidirect
32. #35185C2semidirect
33. #35177C2semidirect
34. #34920C2semidirect

Maximal subgroups

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

subgroupindex
#594422
#594352
#594262
#584782
#583412
#549052
#531332
#531252
#501322
#460752
#455232
#451632
#451282
#427852
#427822
#427662
#426872
#399142
#397632
#396332
#392172
#391822
#391772
#389672
#378872
#376382
#373682
#373642
#365902
#365632
#361942
#351852
#351772
#349202
#349182