Finite Group Databasebeta

← #8197135

Subgroups — #8197135

Order 512.

4934 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59908C211yesmaximal, characteristic, complemented
2#59822C211yesmaximal, characteristic, complemented
3#59260C212yesmaximal, complemented
4#59182C212yesmaximal, complemented
5#59145C212yesmaximal, complemented
6#56621C214yesmaximal, complemented
7#54853C212yesmaximal, complemented
8#53893C212yesmaximal, complemented
9#53059C212yesmaximal, complemented
10#52653C212yesmaximal, complemented
11#51995C212yesmaximal, complemented
12#51586C212yesmaximal, complemented
13#47302C214yesmaximal, complemented
14#46346C211yesmaximal, characteristic, complemented
15#46329C211yesmaximal, characteristic, complemented
16#46310C212yesmaximal, complemented
17#45087C212yesmaximal, complemented
18#43432C212yesmaximal, complemented
19#42641C212yesmaximal, complemented
20#42617C212yesmaximal, complemented
21#41079C214yesmaximal, complemented
22#40140C212yesmaximal, complemented
23#39853C212yesmaximal, complemented
24#39718C212yesmaximal, complemented
25#39218C212yesmaximal, complemented
26#38692C214yesmaximal, complemented
27#36502C212yesmaximal, complemented
28#36255C212yesmaximal, complemented
29#35190C211yesmaximal, characteristic, complemented
30#34979C211yesmaximal, characteristic, complemented
31#34937C211yesmaximal, characteristic, complemented
32C2×#563C2212yes—
33C2×#559C2212yes—
34C2×#555C2212yes—
35C2×#533C2211yescharacteristic
36C2×#532C2211yescharacteristic
37C2×#532C2212yes—
38C2×#532C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40#2863C2212yes—
41#2860C2212yes—
42#2852C2214yes—
43#2850C2212yes—
44#2850C2212yes—
45#2837C2214yes—
46#2833C2212yes—
47#2828C2214yes—
48#2825C2214yes—
49#2825C2214yes—
50#2823C2212yes—
51#2818C2214yes—
52#2813C2214yes—
53#2803C2214yes—
54#2795C2212yes—
55#2794C2212yes—
56#2793C2214yes—
57#2778C2214yes—
58#2766C2214yes—
59#2761C2214yes—
60#2758C2214yes—
61#2757C2214yes—
62#2756C2214yes—
63#2749C2214yes—
64#2749C2214yes—
65#2748C2214yes—
66#2743C2214yes—
67#2741C2214yes—
68#2740C2214yes—
69#2740C2214yes—
70#2734C2212yes—
71#2733C2212yes—
72#2733C2212yes—
73#2731C2212yes—
74#2731C2214yes—
75#2731C2212yes—
76#2730C2214yes—
77#2730C2214yes—
78#2728C2212yes—
79#2715C2214yes—
80#2714C2214yes—
81#2712C2214yes—
82#2711C2214yes—
83#2707C2214yes—
84#2703C2214yes—
85#2702C2214yes—
86#2701C2214yes—
87#2696C2214yes—
88#2691C2214yes—
89#2688C2214yes—
90#2688C2214yes—
91#2688C2214yes—
92#2687C2214yes—
93#2676C2214yes—
94#2676C2214yes—
95#2676C2214yes—
96#2674C2214yes—
97#2673C2214yes—
98#2673C2214yes—
99#2672C2214yes—
100#2671C2214yes—
101#2649C2214yes—
102#2648C2214yes—
103#2648C2214yes—
104#2635C2214yes—
105#2635C2212yes—
106#2635C2212yes—
107#2630C2214yes—
108#2630C2214yes—
109#2629C2214yes—
110#2620C2212yes—
111#2619C2212yes—
112#2611C2212yes—
113#2611C2212yes—
114#2611C2214yes—
115#2610C2214yes—
116#2598C2212yes—
117#2598C2214yes—
118#2598C2212yes—
119#2595C2214yes—
120#2594C2214yes—
121#2592C2212yes—
122#2592C2212yes—
123#2581C2212yes—
124#2580C2212yes—
125#2577C2214yes—
126#2577C2214yes—
127#2576C2214yes—
128#2572C2212yes—
129#2570C2212yes—
130#2568C2211yescharacteristic
131#2568C2211yescharacteristic
132#2558C2214yes—
133#2555C2214yes—
134#2548C2211yescharacteristic
135#2548C2212yes—
136#2548C2211yescharacteristic
137#2547C2211yescharacteristic
138#2547C2211yescharacteristic
139#2546C2211yescharacteristic
140#2546C2211yescharacteristic
141#2545C2212yes—
142#2545C2212yes—
143#2544C2212yes—
144#2544C2212yes—
145#2544C2212yes—
146#2543C2212yes—
147#2543C2212yes—
148#2542C2211yescharacteristic
149#2542C2211yescharacteristic
150#2541C2212yes—
151#2541C2211yescharacteristic
152#2541C2212yes—
153#2541C2211yescharacteristic
154#2538C2212yes—
155#2537C2212yes—
156#2532C2214yes—
157#2531C2214yes—
158#2527C2214yes—
159#2527C2214yes—
160#2526C2214yes—
161#2518C2214yes—
162#2514C2212yes—
163#2512C2212yes—
164#2510C2214yes—
165#2510C2214yes—
166#2509C2212yes—
167#2506C2212yes—
168#2504C2212yes—
169#2502C2212yes—
170#2500C2212yes—
171#2499C2211yescharacteristic
172#2499C2211yescharacteristic
173#2497C2212yes—
174#2494C2212yes—
175#2493C2214yes—
176#2478C2214yes—
177#2476C2214yes—
178#2476C2214yes—
179#2468C2214yes—
180#2467C2214yes—
181#2464C2214yes—
182#2463C2214yes—
183#2461C2214yes—
184#2460C2214yes—
185#2460C2214yes—
186#2459C2214yes—
187#2457C2214yes—
188#2456C2214yes—
189#2456C2214yes—
190#2452C2212yes—
191#2451C2212yes—
192#2450C2214yes—
193#2450C2214yes—
194#2446C2212yes—
195#2445C2212yes—
196#2438C2214yes—
197#2432C2211yescharacteristic
198#2432C2211yescharacteristic
199#2431C2212yes—
200#2431C2212yes—
201#2431C2212yes—
202#2430C2214yes—
203#2428C2214yes—
204#2428C2212yes—
205#2428C2212yes—
206#2428C2212yes—
207#2427C2212yes—
208#2427C2212yes—
209#2426C2212yes—
210#2425C2214yes—
211#2423C2212yes—
212#2422C2212yes—
213#2420C2212yes—
214#2420C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2414C2214yes—
220#2414C2214yes—
221#2407C2212yes—
222#2407C2214yes—
223#2407C2212yes—
224#2395C2212yes—
225#2395C2212yes—
226#2392C2212yes—
227#2392C2212yes—
228#2381C2212yes—
229#2372C2212yes—
230#2367C2212yes—
231#2364C2214yes—
232#2364C2214yes—
233#2361C2212yes—
234#2360C2212yes—
235#2359C2214yes—
236#2357C2212yes—
237#2356C2212yes—
238#2355C2212yes—
239#2354C2212yes—
240#2354C2212yes—
241#2353C2214yes—
242#2349C2212yes—
243#2341C2212yes—
244#2339C2212yes—
245#2333C2214yes—
246#2328C2212yes—
247#2326C2212yes—
248#2325C2214yes—
249#2325C2214yes—
250#2324C2212yes—
251#2323C2212yes—
252C4×C4⋊Q8C2211yescharacteristic
253C4×C4⋊Q8C2211yescharacteristic
254C4×#127C2212yes—
255C4×#124C2212yes—
256C4×#124C2211yescharacteristic
257C4×#124C2211yescharacteristic
258C4×C22⋊Q8C2212yes—
259C4×C22⋊Q8C2212yes—
260C4×#121C2212yes—
261C4×#121C2212yes—
262#2297C2212yes—
263#2290C2214yes—
264#2283C2211yescharacteristic
265C4×#117C2211yescharacteristic
266C2×C4×C4⋊C4C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C22×#41C2312yes—
270#563—48no—
271#559—48no—
272#555—48no—
273#533—44no—
274#532—44no—
275#532—44no—
276#532—48no—
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2311yescharacteristic
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2311yescharacteristic
284C2×#127C2312yes—
285C2×#127C2312yes—
286C2×#127C2312yes—
287C2×#127C2312yes—
288C2×#127C2311yescharacteristic
289C2×#127C2311yescharacteristic
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#125C2312yes—
293C2×#125C2314yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2314yes—
301C2×#124C2311yescharacteristic
302C2×#124C2314yes—
303C2×#124C2312yes—
304C2×#124C2311yescharacteristic
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C4×#41—44no—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2314yes—
368C2×#117C2314yes—
369C2×#117C2311yescharacteristic
370C22×C4⋊C4C2312yes—
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2312yes—
375#401C2314yes—
376#401C2314yes—
377#400C2312yes—
378#400C2312yes—
379#400C2312yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#399C2314yes—
390#399C2312yes—
391#399C2314yes—
392#399C2312yes—
393#399C2312yes—
394#399C2312yes—
395#398C2314yes—
396#398C2312yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2312yes—
402#398C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#397C2312yes—
407#397C2312yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2312yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2312yes—
421#397C2312yes—
422#397C2314yes—
423#397C2312yes—
424#397C2312yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#395C2314yes—
438#395C2314yes—
439#394C2312yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2312yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2312yes—
484#392C2312yes—
485#392C2314yes—
486#392C2314yes—
487#392C2312yes—
488#392C2314yes—
489#392C2312yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
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#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
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#386C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2314yes—
669#384C2312yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2312yes—
674#383C2314yes—
675#383C2314yes—
676#383C2312yes—
677#383C2314yes—
678#382C2311yescharacteristic
679#382C2312yes—
680#382C2311yescharacteristic
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#381C2314yes—
685#381C2314yes—
686#381C2314yes—
687#381C2314yes—
688#381C2312yes—
689#380C2314yes—
690#380C2314yes—
691#380C2312yes—
692#380C2314yes—
693#380C2314yes—
694#380C2312yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2311yescharacteristic
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2311yescharacteristic
734#376C2312yes—
735#376C2312yes—
736#376C2314yes—
737C2×#95C2314yes—
738C2×#95C2314yes—
739C2×#95C2312yes—
740C43C2311yescharacteristic
741C43C2311yescharacteristic
742C2×#41—24no—
743C2×#41—42no—
744C2×#41—44no—
745C2×#41—42no—
746C2×#41—44no—
747C2×#41—44no—
748C2×#41—44no—
749C2×#41—44no—
750C2×#41—44no—
751C22×Q8C2412yes—
752C22×Q8C2411yescharacteristic
753C22×Q8C2412yes—
754C22×Q8C2411yescharacteristic
755C22×Q8C2412yes—
756C22×Q8C2411yescharacteristic
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2411yescharacteristic
760C22×D4C2411yescharacteristic
761C22×D4C2411yescharacteristic
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2414yes—
791C23×C4C2414yes—
792C4⋊Q8—28no—
793C4⋊Q8—24no—
794C4⋊Q8—24no—
795C4⋊Q8—42no—
796C4⋊Q8—42no—
797C4⋊Q8—42no—
798C4⋊Q8—42no—
799#127—44no—
800#127—42no—
801#127—42no—
802#127—44no—
803#127—44no—
804#127—44no—
805#126—48no—
806#126—48no—
807#125—44no—
808#125—48no—
809#124—28no—
810#124—28no—
811#124—28no—
812#124—44no—
813#124—44no—
814#124—44no—
815#124—44no—
816#124—42no—
817#124—42no—
818#124—48no—
819#124—48no—
820#123—48no—
821#123—48no—
822#123—48no—
823#123—48no—
824C22⋊Q8—44no—
825C22⋊Q8—44no—
826C22⋊Q8—48no—
827C22⋊Q8—48no—
828C22⋊Q8—42no—
829C22⋊Q8—42no—
830C22⋊Q8—44no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833#121—44no—
834#121—44no—
835#121—44no—
836#121—48no—
837#121—48no—
838#121—48no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—44no—
844#121—44no—
845#121—44no—
846#121—44no—
847#121—48no—
848#121—48no—
849#121—44no—
850C4×Q8—28no—
851C4×Q8—42no—
852C4×Q8—42no—
853C4×Q8—42no—
854C4×Q8—42no—
855C4×Q8—44no—
856C4×Q8—44no—
857C4×D4—28no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—48no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—48no—
866C4×D4—42no—
867C4×D4—42no—
868C4×D4—42no—
869C4×D4—42no—
870C4×D4—42no—
871C4×D4—42no—
872C4×D4—44no—
873C4×D4—48no—
874C4×D4—48no—
875C4×D4—48no—
876C4×D4—48no—
877#117—42no—
878#117—42no—
879#117—42no—
880#117—44no—
881#117—44no—
882#117—48no—
883#117—48no—
884C2×C4⋊C4—44no—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2411yescharacteristic
948C2×C22⋊C4C2411yescharacteristic
949C2×C22⋊C4C2411yescharacteristic
950C2×C22⋊C4C2411yescharacteristic
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2411yescharacteristic
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C42—24no—
995C2×C42—24no—
996C2×C42—24no—
997C2×C42—44no—
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2411yescharacteristic
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2414yes—
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027#95C2412yes—
1028#95C2412yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083C24C2514yes—
1084C24C2514yes—
1085C24C2511yescharacteristic
1086C24C2511yescharacteristic
1087C24C2511yescharacteristic
1088#41—416no—
1089#41—816no—
1090#41—816no—
1091C2×Q8—24no—
1092C2×Q8—24no—
1093C2×Q8—22no—
1094C2×Q8—24no—
1095C2×Q8—22no—
1096C2×Q8—24no—
1097C2×Q8—24no—
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×Q8—41no—
1101C2×Q8—41no—
1102C2×Q8—42no—
1103C2×Q8—42no—
1104C2×Q8—42no—
1105C2×Q8—41no—
1106C2×Q8—41no—
1107C2×Q8—42no—
1108C2×Q8H(5,𝔽2)14yes—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—28no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—44no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
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—42no—
1152C2×D4—44no—
1153C2×D4—42no—
1154C2×D4—44no—
1155C2×D4—42no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—28no—
1181C22×C4—28no—
1182C22×C4—28no—
1183C22×C4—42no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4C2514yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2514yes—
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2514yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—44no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C22⋊C4—24no—
1283C22⋊C4—24no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—24no—
1292C22⋊C4—24no—
1293C22⋊C4—24no—
1294C22⋊C4—42no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
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—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—24no—
1351C42—24no—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—22no—
1356C42—22no—
1357C42—24no—
1358C42—24no—
1359C42—24no—
1360C42—44no—
1361C42—42no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—41no—
1367C42—41no—
1368C42—42no—
1369C42H(5,𝔽2)14yes—
1370C23—21no—
1371C23—21no—
1372C23—22no—
1373C23—22no—
1374C23—24no—
1375C23—24no—
1376C23—24no—
1377C23—24no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—22no—
1383C23—22no—
1384C23—21no—
1385C23—24no—
1386C23—24no—
1387C23—24no—
1388C23—22no—
1389C23—24no—
1390C23—24no—
1391C23—24no—
1392C23—24no—
1393C23—24no—
1394C23—24no—
1395C23—24no—
1396C23—22no—
1397C23—21no—
1398C23#58512yes—
1399C23C2611yescharacteristic
1400Q8—44no—
1401Q8—48no—
1402Q8—84no—
1403Q8—82no—
1404Q8—82no—
1405Q8—84no—
1406D4—44no—
1407D4—44no—
1408D4—44no—
1409D4—48no—
1410D4—48no—
1411D4—88no—
1412D4—84no—
1413D4—84no—
1414D4—88no—
1415D4—88no—
1416D4—84no—
1417D4—84no—
1418D4—88no—
1419D4—88no—
1420D4—88no—
1421D4—88no—
1422D4—88no—
1423D4—164no—
1424D4—164no—
1425C2×C4—28no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
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—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—82no—
1495C2×C4—82no—
1496C2×C4—88no—
1497C2×C4—88no—
1498C2×C4—88no—
1499C2×C4—88no—
1500C2×C4—88no—
1501C2×C4—164no—
1502C2×C4—164no—
1503C2×C4C2×H(5,𝔽2)12yes—
1504C2×C4C2×H(5,𝔽2)12yes—
1505C2×C4C2×H(5,𝔽2)12yes—
1506C2×C4C2×H(5,𝔽2)12yes—
1507C2×C4C2×H(5,𝔽2)12yes—
1508C2×C4C2×H(5,𝔽2)12yes—
1509C2×C4#58514yes—
1510C2×C4#58514yes—
1511C22—24no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—42no—
1516C22—41no—
1517C22—41no—
1518C22—44no—
1519C22—44no—
1520C22—41no—
1521C22—41no—
1522C22—44no—
1523C22—44no—
1524C22—44no—
1525C22—44no—
1526C22—44no—
1527C22—42no—
1528C22—42no—
1529C22—44no—
1530C22—44no—
1531C22—44no—
1532C22—44no—
1533C22—42no—
1534C22—44no—
1535C22—42no—
1536C22—41no—
1537C22—41no—
1538C22—44no—
1539C22—44no—
1540C22C22×H(5,𝔽2)11yescharacteristic
1541C22C22×H(5,𝔽2)11yescharacteristic
1542C22C2×#58512yes—
1543C22C2×#58512yes—
1544C22C2×#58511yescharacteristic
1545C4—22no—
1546C4—24no—
1547C4—22no—
1548C4—22no—
1549C4—22no—
1550C4—22no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—44no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—42no—
1559C4—42no—
1560C4—42no—
1561C4—44no—
1562C4—44no—
1563C4—44no—
1564C4—42no—
1565C4—44no—
1566C4—42no—
1567C4—44no—
1568C4—42no—
1569C4—42no—
1570C4#355114yes—
1571C2—42no—
1572C2—81no—
1573C2—81no—
1574C2—84no—
1575C2—84no—
1576C2C2×#355111yescharacteristic
1577C2#6275911yescharacteristic
1578C2#6281811yescharacteristic
1579C2#6301912yes—
1580C2#6302912yes—
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. #59908C2semidirect
2. #59822C2semidirect
3. #59260C2semidirect
4. #59182C2semidirect
5. #59145C2semidirect
6. #56621C2semidirect
7. #54853C2semidirect
8. #53893C2semidirect
9. #53059C2semidirect
10. #52653C2semidirect
11. #51995C2semidirect
12. #51586C2semidirect
13. #47302C2semidirect
14. #46346C2semidirect
15. #46329C2semidirect
16. #46310C2semidirect
17. #45087C2semidirect
18. #43432C2semidirect
19. #42641C2semidirect
20. #42617C2semidirect
21. #41079C2semidirect
22. #40140C2semidirect
23. #39853C2semidirect
24. #39718C2semidirect
25. #39218C2semidirect
26. #38692C2semidirect
27. #36502C2semidirect
28. #36255C2semidirect
29. #35190C2semidirect
30. #34979C2semidirect
31. #34937C2semidirect

Maximal subgroups

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

subgroupindex
#599082
#598222
#592602
#591822
#591452
#566212
#548532
#538932
#530592
#526532
#519952
#515862
#473022
#463462
#463292
#463102
#450872
#434322
#426412
#426172
#410792
#401402
#398532
#397182
#392182
#386922
#365022
#362552
#351902
#349792
#349372