Finite Group Databasebeta

← #7801168

Subgroups — #7801168

Order 512.

5352 conjugacy classes of subgroups.

The subgroup lattice has 1557 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59314C212yesmaximal, complemented
2#59145C212yesmaximal, complemented
3#49948C214yesmaximal, complemented
4#49722C214yesmaximal, complemented
5#48349C214yesmaximal, complemented
6#48247C214yesmaximal, complemented
7#45421C211yesmaximal, characteristic, complemented
8#45354C211yesmaximal, characteristic, complemented
9#44979C211yesmaximal, characteristic, complemented
10#44934C211yesmaximal, characteristic, complemented
11#44292C214yesmaximal, complemented
12#44058C214yesmaximal, complemented
13#43116C214yesmaximal, complemented
14#43004C214yesmaximal, complemented
15#40191C212yesmaximal, complemented
16#39397C212yesmaximal, complemented
17#39168C211yesmaximal, characteristic, complemented
18#39064C212yesmaximal, complemented
19#38969C211yesmaximal, characteristic, complemented
20#38249C212yesmaximal, complemented
21#37345C212yesmaximal, complemented
22#36465C211yesmaximal, characteristic, complemented
23#36383C211yesmaximal, characteristic, complemented
24#35844C211yesmaximal, characteristic, complemented
25#35748C211yesmaximal, characteristic, complemented
26#35739C211yesmaximal, characteristic, complemented
27#35704C211yesmaximal, characteristic, complemented
28#35268C211yesmaximal, characteristic, complemented
29#34882C211yesmaximal, characteristic, complemented
30#34498C212yesmaximal, complemented
31#34207C211yesmaximal, characteristic, complemented
32C2×#559C2212yes—
33C2×#559C2211yescharacteristic
34C2×Q82C2211yescharacteristic
35C2×#554C2214yes—
36C2×#550C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#548C2214yes—
39C2×#539C2214yes—
40C2×#532C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43#2864C2211yescharacteristic
44#2863C2212yes—
45#2860C2212yes—
46#2858C2211yescharacteristic
47#2858C2212yes—
48#2800C2214yes—
49#2797C2214yes—
50#2777C2214yes—
51#2773C2214yes—
52#2757C2214yes—
53#2751C2214yes—
54#2749C2214yes—
55#2748C2214yes—
56#2740C2214yes—
57#2737C2214yes—
58#2737C2214yes—
59#2731C2214yes—
60#2730C2214yes—
61#2729C2214yes—
62#2721C2214yes—
63#2720C2214yes—
64#2720C2214yes—
65#2720C2214yes—
66#2717C2214yes—
67#2717C2214yes—
68#2711C2214yes—
69#2708C2214yes—
70#2706C2214yes—
71#2705C2214yes—
72#2703C2214yes—
73#2700C2214yes—
74#2696C2214yes—
75#2696C2214yes—
76#2694C2214yes—
77#2692C2214yes—
78#2689C2214yes—
79#2689C2214yes—
80#2686C2214yes—
81#2681C2214yes—
82#2677C2214yes—
83#2676C2214yes—
84#2674C2214yes—
85#2674C2214yes—
86#2674C2214yes—
87#2672C2214yes—
88#2654C2214yes—
89#2644C2212yes—
90#2640C2212yes—
91#2636C2214yes—
92#2635C2212yes—
93#2631C2212yes—
94#2628C2211yescharacteristic
95#2628C2212yes—
96#2627C2212yes—
97#2624C2212yes—
98#2619C2211yescharacteristic
99#2610C2212yes—
100#2604C2214yes—
101#2603C2214yes—
102#2600C2214yes—
103#2598C2212yes—
104#2596C2214yes—
105#2592C2212yes—
106#2591C2212yes—
107#2586C2212yes—
108#2585C2212yes—
109#2581C2211yescharacteristic
110#2581C2211yescharacteristic
111#2580C2211yescharacteristic
112#2580C2211yescharacteristic
113#2580C2212yes—
114#2574C2212yes—
115#2567C2211yescharacteristic
116#2564C2212yes—
117#2564C2214yes—
118#2556C2212yes—
119#2556C2214yes—
120#2551C2212yes—
121#2548C2211yescharacteristic
122#2545C2212yes—
123#2544C2212yes—
124#2542C2212yes—
125#2542C2212yes—
126#2542C2211yescharacteristic
127#2542C2212yes—
128#2541C2211yescharacteristic
129#2541C2212yes—
130#2540C2214yes—
131#2540C2214yes—
132#2540C2214yes—
133#2538C2212yes—
134#2533C2214yes—
135#2531C2214yes—
136#2524C2214yes—
137#2522C2212yes—
138#2521C2214yes—
139#2521C2214yes—
140#2520C2212yes—
141#2516C2214yes—
142#2512C2212yes—
143#2511C2212yes—
144#2506C2212yes—
145#2506C2212yes—
146#2487C2214yes—
147#2476C2214yes—
148#2467C2214yes—
149#2465C2214yes—
150#2465C2214yes—
151#2465C2212yes—
152#2464C2214yes—
153#2463C2214yes—
154#2463C2214yes—
155#2462C2214yes—
156#2462C2212yes—
157#2461C2214yes—
158#2461C2214yes—
159#2460C2214yes—
160#2459C2214yes—
161#2459C2214yes—
162#2457C2214yes—
163#2456C2214yes—
164#2456C2214yes—
165#2456C2214yes—
166#2452C2214yes—
167#2452C2214yes—
168#2452C2212yes—
169#2452C2212yes—
170#2451C2212yes—
171#2451C2212yes—
172#2449C2214yes—
173#2449C2214yes—
174#2449C2214yes—
175#2448C2214yes—
176#2448C2212yes—
177#2448C2212yes—
178#2447C2212yes—
179#2446C2212yes—
180#2445C2212yes—
181#2445C2212yes—
182#2445C2212yes—
183#2445C2212yes—
184#2443C2214yes—
185#2443C2214yes—
186#2443C2214yes—
187#2440C2214yes—
188#2440C2212yes—
189#2440C2212yes—
190#2440C2214yes—
191#2438C2214yes—
192#2434C2214yes—
193#2431C2212yes—
194#2431C2212yes—
195#2425C2214yes—
196#2425C2214yes—
197#2423C2214yes—
198#2419C2214yes—
199#2419C2214yes—
200#2409C2212yes—
201#2406C2214yes—
202#2406C2212yes—
203#2399C2211yescharacteristic
204#2399C2211yescharacteristic
205#2397C2212yes—
206#2396C2211yescharacteristic
207#2396C2212yes—
208#2396C2211yescharacteristic
209#2388C2212yes—
210C2×#395C2212yes—
211#2376C2214yes—
212#2376C2214yes—
213#2371C2214yes—
214#2367C2212yes—
215#2367C2214yes—
216#2367C2212yes—
217#2366C2212yes—
218#2364C2214yes—
219#2361C2212yes—
220#2361C2214yes—
221#2361C2214yes—
222#2361C2212yes—
223#2357C2211yescharacteristic
224#2356C2211yescharacteristic
225#2354C2214yes—
226#2351C2211yescharacteristic
227Q8×C4⋊C4C2212yes—
228Q8×C4⋊C4C2212yes—
229#2349C2211yescharacteristic
230D4×C4⋊C4C2214yes—
231D4×C4⋊C4C2214yes—
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2212yes—
234#2341C2212yes—
235#2339C2212yes—
236#2332C2214yes—
237#2331C2211yescharacteristic
238#2328C2211yescharacteristic
239#2326C2212yes—
240#2326C2214yes—
241#2326C2211yescharacteristic
242#2326C2211yescharacteristic
243#2326C2211yescharacteristic
244#2326C2211yescharacteristic
245#2322C2214yes—
246#2322C2214yes—
247#2319C2214yes—
248#2319C2212yes—
249#2319C2212yes—
250#2311C2211yescharacteristic
251#2311C2211yescharacteristic
252C4×C4⋊Q8C2211yescharacteristic
253C4×C4⋊Q8C2211yescharacteristic
254C4×#127C2211yescharacteristic
255C4×#127C2212yes—
256C4×#127C2211yescharacteristic
257C4×#125C2212yes—
258C4×C22⋊Q8C2212yes—
259C4×#121C2212yes—
260#2298C2212yes—
261#2295C2211yescharacteristic
262#2295C2212yes—
263#2295C2212yes—
264C2×#384C2211yescharacteristic
265C42×Q8C2211yescharacteristic
266C4×#117C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2311yescharacteristic
269C22×#41C2312yes—
270C23×Q8C2312yes—
271#559—216no—
272#559—44no—
273Q82—44no—
274#554—416no—
275#550—44no—
276D4×Q8—44no—
277#548—416no—
278#539—416no—
279#532—28no—
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2311yescharacteristic
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2312yes—
284C2×C4⋊Q8C2312yes—
285C2×C4⋊Q8C2314yes—
286C2×C4⋊Q8C2314yes—
287C2×#127C2311yescharacteristic
288C2×#127C2312yes—
289C2×#127C2311yescharacteristic
290C2×#127C2312yes—
291C2×#126C2314yes—
292C2×#126C2314yes—
293C2×#125C2312yes—
294C2×#125C2314yes—
295C2×#125C2314yes—
296C2×#124C2311yescharacteristic
297C2×#124C2314yes—
298C2×#124C2312yes—
299C2×#124C2314yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302C2×#124C2312yes—
303C2×#124C2312yes—
304C2×#124C2311yescharacteristic
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332#520—44no—
333#520—44no—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2314yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2314yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2314yes—
381C22×C42C2311yescharacteristic
382#400C2312yes—
383#400C2314yes—
384#400C2312yes—
385#400C2311yescharacteristic
386#400C2311yescharacteristic
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#399C2311yescharacteristic
393#399C2314yes—
394#399C2312yes—
395#399C2312yes—
396#399C2312yes—
397#399C2312yes—
398#399C2314yes—
399#399C2312yes—
400#399C2314yes—
401#399C2311yescharacteristic
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#398C2312yes—
407#398C2312yes—
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#396C2312yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2312yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#395C2312yes—
442#395C2314yes—
443#395C2312yes—
444#395C2312yes—
445#395C2312yes—
446#395C2312yes—
447#395C2311yescharacteristic
448#395C2312yes—
449#395C2312yes—
450#395C2311yescharacteristic
451#395C2314yes—
452#395C2314yes—
453#395C2312yes—
454#395C2312yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#393C2312yes—
475#393C2314yes—
476#393C2311yescharacteristic
477#393C2312yes—
478#393C2312yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2311yescharacteristic
483#393C2314yes—
484#392C2312yes—
485#392C2314yes—
486#392C2314yes—
487#392C2312yes—
488#392C2312yes—
489#392C2312yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#388C2312yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2314yes—
681#384C2314yes—
682#383C2312yes—
683#383C2314yes—
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#382C2312yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2314yes—
692#381C2312yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2312yes—
698#380C2314yes—
699#380C2314yes—
700#380C2312yes—
701#380C2314yes—
702#380C2312yes—
703#380C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735#376C2311yescharacteristic
736#376C2314yes—
737#376C2312yes—
738#376C2311yescharacteristic
739#376C2312yes—
740C2×#95C2314yes—
741C2×#95C2312yes—
742C43C2311yescharacteristic
743C43C2311yescharacteristic
744C43C2312yes—
745C2×#41—24no—
746C2×#41—24no—
747C2×#41—24no—
748C2×#41—24no—
749C2×#41—42no—
750C2×#41—42no—
751C2×#41—48no—
752C2×#41—44no—
753C22×Q8—48no—
754C22×Q8—44no—
755C22×Q8C2411yescharacteristic
756C22×Q8C2411yescharacteristic
757C22×Q8C2412yes—
758C22×Q8C2411yescharacteristic
759C22×Q8C2411yescharacteristic
760C22×Q8C2414yes—
761C22×Q8C2412yes—
762C22×Q8C2414yes—
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2411yescharacteristic
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2411yescharacteristic
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2414yes—
791C4⋊Q8—24no—
792C4⋊Q8—24no—
793C4⋊Q8—44no—
794C4⋊Q8—44no—
795C4⋊Q8—44no—
796C4⋊Q8—48no—
797C4⋊Q8—48no—
798#127—24no—
799#127—28no—
800#127—24no—
801#127—44no—
802#126—48no—
803#126—48no—
804#125—28no—
805#125—216no—
806#125—48no—
807#124—28no—
808#124—216no—
809#124—24no—
810#124—48no—
811#124—48no—
812#124—48no—
813#124—44no—
814#124—44no—
815#124#4118yescomplemented
816#123—216no—
817#123—216no—
818#123—48no—
819#123—48no—
820#123—48no—
821#123—48no—
822#123—48no—
823C22⋊Q8—216no—
824C22⋊Q8—28no—
825C22⋊Q8—48no—
826C22⋊Q8—48no—
827C22⋊Q8—48no—
828C22⋊Q8—48no—
829C22⋊Q8—48no—
830C22⋊Q8—48no—
831C22⋊Q8—48no—
832C22⋊Q8—48no—
833C22⋊Q8—48no—
834C22⋊Q8—48no—
835C22⋊Q8—44no—
836#121—28no—
837#121—216no—
838#121—216no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—44no—
843C4×Q8—28no—
844C4×Q8—28no—
845C4×Q8—28no—
846C4×Q8—24no—
847C4×Q8—24no—
848C4×Q8—24no—
849C4×Q8—24no—
850C4×Q8—42no—
851C4×Q8—42no—
852C4×Q8—48no—
853C4×Q8—44no—
854C4×Q8—44no—
855C4×D4—28no—
856C4×D4—216no—
857C4×D4—216no—
858C4×D4—28no—
859C4×D4—24no—
860C4×D4—24no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—48no—
864C4×D4—42no—
865C4×D4—42no—
866C4×D4—48no—
867C4×D4—48no—
868C4×D4—48no—
869C4×D4—48no—
870C4×D4—44no—
871C4×D4—44no—
872C4×D4—44no—
873C4×D4—44no—
874C4×D4—48no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—48no—
878C4×D4—48no—
879#117—24no—
880#117—24no—
881#117—44no—
882#117—44no—
883C2×C4⋊C4—44no—
884C2×C4⋊C4—44no—
885C2×C4⋊C4—42no—
886C2×C4⋊C4—42no—
887C2×C4⋊C4—48no—
888C2×C4⋊C4—48no—
889C2×C4⋊C4—48no—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C22⋊C4C2411yescharacteristic
954C2×C22⋊C4C2411yescharacteristic
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C42—24no—
1002C2×C42C2411yescharacteristic
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2414yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030#95C2412yes—
1031#95C2411yescharacteristic
1032#95C2414yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2411yescharacteristic
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2411yescharacteristic
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2411yescharacteristic
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090C24C2514yes—
1091C24C2512yes—
1092C24C2512yes—
1093C24C2511yescharacteristic
1094#41—416no—
1095#41—416no—
1096#41—816no—
1097C2×Q8—24no—
1098C2×Q8—22no—
1099C2×Q8—22no—
1100C2×Q8—24no—
1101C2×Q8—22no—
1102C2×Q8—22no—
1103C2×Q8—22no—
1104C2×Q8—24no—
1105C2×Q8—28no—
1106C2×Q8—24no—
1107C2×Q8—22no—
1108C2×Q8—22no—
1109C2×Q8—42no—
1110C2×Q8—42no—
1111C2×Q8—44no—
1112C2×Q8—44no—
1113C2×Q8—44no—
1114C2×Q8—44no—
1115C2×Q8—44no—
1116C2×Q8—44no—
1117C2×Q8—816no—
1118C2×Q8C2×#4114yes—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—24no—
1122C2×D4—28no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—28no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—28no—
1136C2×D4—24no—
1137C2×D4—22no—
1138C2×D4—24no—
1139C2×D4—22no—
1140C2×D4—44no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4C2×#4114yes—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—24no—
1159C22×C4—28no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—28no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—28no—
1169C22×C4—28no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—44no—
1187C22×C4—42no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C42−1+414yes—
1195C22×C4C2512yes—
1196C22×C4C2514yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—28no—
1225C4⋊C4—24no—
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—24no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4H(5,𝔽2)18yes—
1285C22⋊C4—28no—
1286C22⋊C4—24no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4C2×#41116yes—
1333C42—24no—
1334C42—22no—
1335C42—28no—
1336C42—24no—
1337C42—24no—
1338C42—22no—
1339C42—24no—
1340C42—24no—
1341C42—24no—
1342C42—24no—
1343C42—24no—
1344C42—24no—
1345C42—28no—
1346C42—24no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—42no—
1351C42—42no—
1352C42—42no—
1353C42—42no—
1354C42—42no—
1355C42—42no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42C2×#4114yes—
1360C42H(5,𝔽2)14yes—
1361C23—21no—
1362C23—22no—
1363C23—21no—
1364C23—22no—
1365C23—24no—
1366C23—22no—
1367C23—22no—
1368C23—24no—
1369C23—24no—
1370C23—22no—
1371C23—24no—
1372C23—24no—
1373C23—24no—
1374C23—22no—
1375C23—24no—
1376C23—24no—
1377C23—22no—
1378C23—24no—
1379C23—24no—
1380C23—24no—
1381C23C22×#4114yes—
1382C23C2×2−1+412yes—
1383C23C2611yescharacteristic
1384Q8—28no—
1385Q8—28no—
1386Q8—48no—
1387Q8—44no—
1388Q8—44no—
1389Q8—88no—
1390Q8—84no—
1391Q8—164no—
1392D4—28no—
1393D4—416no—
1394D4—416no—
1395D4—48no—
1396D4—48no—
1397D4—416no—
1398D4—48no—
1399D4—44no—
1400D4—84no—
1401D4—88no—
1402D4—84no—
1403D4—88no—
1404D4—164no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—28no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—48no—
1469C2×C4—48no—
1470C2×C4—48no—
1471C2×C4—88no—
1472C2×C4—84no—
1473C2×C4—88no—
1474C2×C4—84no—
1475C2×C4—88no—
1476C2×C4—88no—
1477C2×C4—162no—
1478C2×C4—162no—
1479C2×C4—162no—
1480C2×C4—162no—
1481C2×C4—164no—
1482C2×C4C22×#4114yes—
1483C2×C4C22×#4114yes—
1484C2×C4C22×#4112yes—
1485C2×C4C2×H(5,𝔽2)12yes—
1486C2×C4C2×H(5,𝔽2)14yes—
1487C2×C4C2×H(5,𝔽2)14yes—
1488C2×C4C2×H(5,𝔽2)14yes—
1489C2×C4C2×H(5,𝔽2)12yes—
1490C2×C4C2×H(5,𝔽2)12yes—
1491C2×C4C2×2−1+412yes—
1492C2×C4C2×2−1+412yes—
1493C22—28no—
1494C22—22no—
1495C22—24no—
1496C22—24no—
1497C22—42no—
1498C22—42no—
1499C22—41no—
1500C22—41no—
1501C22—42no—
1502C22—44no—
1503C22—44no—
1504C22—44no—
1505C22—44no—
1506C22—42no—
1507C22—44no—
1508C22—44no—
1509C22—42no—
1510C22—44no—
1511C22—42no—
1512C22—44no—
1513C22—44no—
1514C22—44no—
1515C22C23×#4111yescharacteristic
1516C22C22×H(5,𝔽2)12yes—
1517C22C22×H(5,𝔽2)11yescharacteristic
1518C22C22×2−1+411yescharacteristic
1519C222−1+612yes—
1520C4—24no—
1521C4—24no—
1522C4—24no—
1523C4—22no—
1524C4—24no—
1525C4—24no—
1526C4—22no—
1527C4—22no—
1528C4—42no—
1529C4—44no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—42no—
1534C4—42no—
1535C4—44no—
1536C4—41no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—41no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—42no—
1545C4—44no—
1546C4#352014yes—
1547C2—44no—
1548C2—42no—
1549C2—84no—
1550C2—82no—
1551C2C2×#352011yescharacteristic
1552C2#6283211yescharacteristic
1553C2#6288711yescharacteristic
1554C2#6291312yes—
1555C2#6298512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59314C2semidirect
2. #59145C2semidirect
3. #49948C2semidirect
4. #49722C2semidirect
5. #48349C2semidirect
6. #48247C2semidirect
7. #45421C2semidirect
8. #45354C2semidirect
9. #44979C2semidirect
10. #44934C2semidirect
11. #44292C2semidirect
12. #44058C2semidirect
13. #43116C2semidirect
14. #43004C2semidirect
15. #40191C2semidirect
16. #39397C2semidirect
17. #39168C2semidirect
18. #39064C2semidirect
19. #38969C2semidirect
20. #38249C2semidirect
21. #37345C2semidirect
22. #36465C2semidirect
23. #36383C2semidirect
24. #35844C2semidirect
25. #35748C2semidirect
26. #35739C2semidirect
27. #35704C2semidirect
28. #35268C2semidirect
29. #34882C2semidirect
30. #34498C2semidirect
31. #34207C2semidirect
815. #124#41semidirect

Maximal subgroups

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

subgroupindex
#593142
#591452
#499482
#497222
#483492
#482472
#454212
#453542
#449792
#449342
#442922
#440582
#431162
#430042
#401912
#393972
#391682
#390642
#389692
#382492
#373452
#364652
#363832
#358442
#357482
#357392
#357042
#352682
#348822
#344982
#342072