Finite Group Databasebeta

← #8726475

Subgroups — #8726475

Order 512.

5248 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#59953C212yesmaximal, complemented
2#59894C212yesmaximal, complemented
3#59564C212yesmaximal, complemented
4#59002C212yesmaximal, complemented
5#59001C211yesmaximal, characteristic, complemented
6#57510C214yesmaximal, complemented
7#56913C214yesmaximal, complemented
8#53988C214yesmaximal, complemented
9#53414C212yesmaximal, complemented
10#53074C212yesmaximal, complemented
11#53032C211yesmaximal, characteristic, complemented
12#52294C211yesmaximal, characteristic, complemented
13#47604C212yesmaximal, complemented
14#47569C214yesmaximal, complemented
15#45244C211yesmaximal, characteristic, complemented
16#45091C212yesmaximal, complemented
17#45063C214yesmaximal, complemented
18#44914C212yesmaximal, complemented
19#42910C211yesmaximal, characteristic, complemented
20#42433C212yesmaximal, complemented
21#42222C214yesmaximal, complemented
22#41234C212yesmaximal, complemented
23#39954C212yesmaximal, complemented
24#39954C212yesmaximal, complemented
25#39862C212yesmaximal, complemented
26#39722C211yesmaximal, characteristic, complemented
27#38956C212yesmaximal, complemented
28#35941C211yesmaximal, characteristic, complemented
29#35856C212yesmaximal, complemented
30C2×#556C2212yescomplemented
31C2×#553C2212yes—
32C2×#553C2211yescharacteristic
33C2×#550C2211yescharacteristic, complemented
34C2×#548C2212yes—
35C2×#548C2212yes—
36C2×#547C2212yes—
37C2×#537C2212yescomplemented
38C2×#536C2211yescharacteristic, complemented
39C2×#525C2212yes—
40C22×C22⋊Q8C2211yescharacteristic
41#2858C2212yescomplemented
42#2847C2211yescharacteristic
43#2844C2214yescomplemented
44#2835C2212yes—
45#2835C2212yescomplemented
46#2828C2214yes—
47#2828C2214yes—
48#2824C2214yes—
49#2824C2214yescomplemented
50#2821C2212yescomplemented
51#2815C2214yes—
52#2803C2214yes—
53#2783C2214yes—
54#2783C2214yescomplemented
55#2782C2214yes—
56#2782C2214yescomplemented
57#2782C2214yescomplemented
58#2775C2214yescomplemented
59#2763C2212yes—
60#2763C2211yescharacteristic
61#2763C2212yes—
62#2763C2212yescomplemented
63#2753C2212yes—
64#2753C2212yes—
65#2753C2212yes—
66#2753C2214yes—
67#2753C2214yescomplemented
68#2744C2214yescomplemented
69#2736C2211yescharacteristic
70#2723C2214yes—
71#2723C2214yescomplemented
72#2723C2214yescomplemented
73#2723C2214yescomplemented
74#2714C2214yes—
75#2714C2214yes—
76#2714C2214yescomplemented
77#2712C2211yescharacteristic
78#2712C2212yes—
79#2706C2214yes—
80#2706C2214yescomplemented
81#2703C2214yes—
82#2703C2214yes—
83#2703C2214yes—
84#2703C2214yes—
85#2703C2214yescomplemented
86#2703C2214yescomplemented
87#2696C2214yes—
88#2696C2214yes—
89#2692C2214yescomplemented
90#2692C2214yescomplemented
91#2686C2214yes—
92#2683C2212yescomplemented
93#2682C2214yes—
94#2680C2214yes—
95#2678C2214yes—
96#2676C2214yes—
97#2676C2214yes—
98#2676C2214yescomplemented
99#2675C2212yes—
100#2674C2214yes—
101#2673C2214yes—
102#2672C2214yes—
103#2672C2214yescomplemented
104#2671C2214yes—
105#2670C2211yescharacteristic
106#2670C2212yes—
107#2670C2212yes—
108#2669C2214yes—
109#2669C2212yes—
110#2663C2214yes—
111#2662C2214yes—
112#2662C2214yescomplemented
113#2662C2212yescomplemented
114#2661C2212yescomplemented
115#2642C2212yescomplemented
116#2641C2211yescharacteristic, complemented
117#2636C2214yes—
118#2635C2214yescomplemented
119#2631C2212yes—
120#2619C2214yes—
121#2619C2214yes—
122#2617C2212yes—
123#2615C2211yescharacteristic, complemented
124#2612C2214yescomplemented
125#2610C2214yes—
126#2610C2214yes—
127#2610C2214yescomplemented
128#2609C2214yescomplemented
129#2603C2214yes—
130#2603C2214yes—
131#2603C2214yescomplemented
132#2593C2214yes—
133#2592C2212yescomplemented
134#2592C2212yescomplemented
135#2584C2212yescomplemented
136#2584C2211yescharacteristic, complemented
137#2574C2214yescomplemented
138#2568C2212yescomplemented
139#2564C2214yescomplemented
140#2563C2212yes—
141#2559C2214yes—
142#2559C2214yes—
143#2559C2214yescomplemented
144#2555C2214yes—
145#2555C2212yescomplemented
146#2543C2212yes—
147#2542C2212yes—
148#2541C2212yes—
149#2541C2211yescharacteristic
150#2540C2212yes—
151#2540C2212yes—
152#2535C2214yes—
153#2531C2214yes—
154#2531C2214yescomplemented
155#2529C2214yes—
156#2526C2214yes—
157#2526C2214yescomplemented
158#2518C2214yes—
159#2513C2214yescomplemented
160#2508C2214yescomplemented
161#2504C2212yes—
162#2504C2214yescomplemented
163#2498C2214yes—
164#2496C2214yescomplemented
165#2496C2214yescomplemented
166#2490C2212yes—
167#2490C2212yescomplemented
168#2489C2212yes—
169#2489C2212yes—
170#2489C2212yescomplemented
171#2489C2212yescomplemented
172#2487C2212yes—
173#2485C2214yes—
174#2474C2214yes—
175#2463C2212yes—
176#2463C2212yes—
177#2461C2214yes—
178#2461C2214yes—
179#2456C2214yes—
180#2449C2214yes—
181#2443C2214yes—
182#2443C2214yescomplemented
183#2440C2214yescomplemented
184#2436C2211yescharacteristic
185#2436C2211yescharacteristic, complemented
186#2434C2212yes—
187#2434C2212yescomplemented
188#2432C2212yes—
189#2432C2212yescomplemented
190#2431C2212yes—
191#2431C2214yes—
192#2431C2212yes—
193#2431C2212yescomplemented
194#2431C2212yescomplemented
195#2430C2212yescomplemented
196#2429C2212yes—
197#2429C2212yescomplemented
198#2428C2214yes—
199#2428C2214yes—
200#2428C2212yes—
201#2428C2212yescomplemented
202#2427C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2427C2212yescomplemented
206#2427C2212yescomplemented
207#2427C2212yescomplemented
208#2426C2212yes—
209#2426C2212yescomplemented
210#2424C2214yes—
211#2422C2214yescomplemented
212#2418C2214yes—
213#2417C2212yes—
214#2417C2212yes—
215#2416C2212yes—
216#2415C2212yes—
217#2415C2212yes—
218#2414C2212yes—
219#2414C2214yescomplemented
220#2409C2211yescharacteristic
221#2409C2211yescharacteristic
222#2407C2212yes—
223#2407C2212yes—
224#2398C2212yes—
225#2398C2211yescharacteristic
226#2395C2214yescomplemented
227#2388C2212yes—
228#2388C2212yes—
229#2388C2211yescharacteristic
230#2366C2212yes—
231#2363C2214yes—
232#2363C2212yescomplemented
233#2362C2212yes—
234#2362C2212yes—
235#2361C2212yes—
236#2360C2212yescomplemented
237#2360C2212yescomplemented
238D4×C4⋊C4C2214yes—
239#2347C2211yescharacteristic, complemented
240#2346C2212yes—
241#2346C2214yescomplemented
242#2346C2214yescomplemented
243#2345C2211yescharacteristic
244#2344C2212yescomplemented
245#2328C2214yes—
246#2324C2214yes—
247#2324C2214yescomplemented
248#2321C2212yes—
249#2311C2214yescomplemented
250C4×#124C2212yes—
251C4×#124C2212yes—
252C4×#124C2212yes—
253C4×#120C2211yescharacteristic
254C4×#120C2212yes—
255#2295C2212yescomplemented
256#2295C2212yescomplemented
257#2293C2212yescomplemented
258#2275C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2311yescharacteristic
261C22×#41C2312yes—
262C22×#41C2312yes—
263C23×Q8C2311yescharacteristic
264C23×Q8C2311yescharacteristic
265C24×C4C2311yescharacteristic
266#556—48no—
267#553—44no—
268#553—48no—
269#550—44no—
270#548—48no—
271#548—48no—
272#547—48no—
273#537—48no—
274#536—44no—
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2312yes—
278C2×#127C2314yes—
279C2×#127C2312yes—
280C2×#127C2312yes—
281C2×#127C2311yescharacteristic
282C2×#126C2312yes—
283C2×#126C2314yes—
284C2×#126C2314yes—
285C2×#126C2314yes—
286C2×#125C2311yescharacteristic
287C2×#125C2312yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2314yes—
294C2×#124C2314yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298#525—48no—
299C2×#123C2312yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×C22⋊Q8—44no—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2311yescharacteristic
325C2×#121C2312yes—
326C2×#121C2311yescharacteristic
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#120C2312yes—
341C2×#120C2311yescharacteristic
342C2×#120C2314yes—
343C2×#120C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2314yes—
366C2×#117C2314yes—
367C2×#117C2314yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2314yes—
371C22×C4⋊C4C2312yes—
372C22×C22⋊C4C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#400C2312yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2312yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2311yescharacteristic
404#397C2314yes—
405#397C2311yescharacteristic
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2312yes—
410#397C2314yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#395C2314yes—
424#395C2311yescharacteristic
425#395C2312yes—
426#395C2314yes—
427#395C2314yes—
428#395C2312yes—
429#395C2312yes—
430#395C2314yes—
431#395C2314yes—
432#395C2312yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2312yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2312yes—
442#394C2312yes—
443#394C2312yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2311yescharacteristic
462#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#394C2312yes—
466#393C2311yescharacteristic
467#393C2312yes—
468#393C2312yes—
469#393C2312yes—
470#393C2312yes—
471#393C2312yes—
472#393C2312yes—
473#393C2314yes—
474#393C2314yes—
475#393C2312yes—
476#393C2314yes—
477#393C2311yescharacteristic
478#393C2312yes—
479#393C2311yescharacteristic
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2312yes—
492#392C2314yes—
493#392C2314yes—
494#392C2312yes—
495#392C2314yes—
496#392C2311yescharacteristic
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2312yes—
501#392C2312yes—
502#392C2312yes—
503#392C2312yes—
504#392C2312yes—
505#392C2314yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#386C2314yes—
637#386C2311yescharacteristic
638#386C2312yes—
639#386C2314yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2311yescharacteristic
662#385C2312yes—
663#384C2314yes—
664#383C2312yes—
665#382C2314yes—
666#382C2314yes—
667#382C2314yes—
668#382C2314yes—
669#382C2314yes—
670#382C2312yes—
671#382C2314yes—
672#382C2312yes—
673#382C2312yes—
674#381C2314yes—
675#380C2314yes—
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2311yescharacteristic
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2314yes—
687#380C2311yescharacteristic
688#379C2311yescharacteristic
689#379C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2311yescharacteristic
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2311yescharacteristic
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717#376C2314yes—
718#376C2314yes—
719#376C2314yes—
720#376C2311yescharacteristic
721C2×#95C2312yes—
722C43C2312yes—
723C25C2411yescharacteristic
724C2×#41—42no—
725C2×#41—44no—
726C2×#41—44no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—44no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—48no—
734C22×Q8—42no—
735C22×Q8—42no—
736C22×Q8—44no—
737C22×Q8—44no—
738C22×Q8C2412yes—
739C22×Q8C2412yes—
740C22×Q8C2411yescharacteristic
741C22×Q8C2412yes—
742C22×Q8C2412yes—
743C22×Q8C2411yescharacteristic
744C22×Q8C2412yes—
745C22×D4C2411yescharacteristic
746C22×D4C2412yes—
747C22×D4C2414yes—
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C22×D4C2411yescharacteristic
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2412yes—
763C22×D4C2411yescharacteristic
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C23×C4—42no—
769C23×C4—44no—
770C23×C4C2411yescharacteristic
771C23×C4C2412yes—
772C23×C4C2411yescharacteristic
773C23×C4C2412yes—
774C23×C4C2414yes—
775C23×C4C2412yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2411yescharacteristic
781C23×C4C2414yes—
782C23×C4C2414yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C4⋊Q8—44no—
786C4⋊Q8—44no—
787C4⋊Q8—44no—
788#127—48no—
789#127—42no—
790#127—44no—
791#127—44no—
792#126—48no—
793#126—44no—
794#126—48no—
795#126—48no—
796#125—42no—
797#125—44no—
798#124—44no—
799#124—44no—
800#124—48no—
801#124—48no—
802#124—44no—
803#124—44no—
804#124—44no—
805#124—44no—
806#124—44no—
807#124—44no—
808#123—48no—
809#123—48no—
810#123—48no—
811#123—48no—
812#123—48no—
813#123—44no—
814C22⋊Q8—28no—
815C22⋊Q8—28no—
816C22⋊Q8—28no—
817C22⋊Q8—28no—
818C22⋊Q8—48no—
819C22⋊Q8—48no—
820C22⋊Q8—48no—
821C22⋊Q8—48no—
822C22⋊Q8—48no—
823C22⋊Q8—44no—
824C22⋊Q8—44no—
825C22⋊Q8—44no—
826C22⋊Q8—44no—
827#121—28no—
828#121—28no—
829#121—48no—
830#121—48no—
831#121—48no—
832#121—44no—
833#121—48no—
834#121—44no—
835#121—48no—
836#121—48no—
837#121—48no—
838#121—48no—
839#121—48no—
840#121—48no—
841#121—44no—
842#121—44no—
843#121—48no—
844#121—44no—
845#121—42no—
846#121—44no—
847#121—42no—
848#120—44no—
849#120—48no—
850#120—44no—
851#120—42no—
852C4×Q8—28no—
853C4×Q8—28no—
854C4×Q8—42no—
855C4×Q8—44no—
856C4×D4—28no—
857C4×D4—24no—
858C4×D4—28no—
859C4×D4—48no—
860C4×D4—48no—
861C4×D4—48no—
862C4×D4—48no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—44no—
866C4×D4—48no—
867C4×D4—44no—
868C4×D4—42no—
869C4×D4—44no—
870C4×D4—48no—
871#117—28no—
872#117—24no—
873#117—48no—
874#117—48no—
875#117—48no—
876C2×C4⋊C4—24no—
877C2×C4⋊C4—28no—
878C2×C4⋊C4—44no—
879C2×C4⋊C4—48no—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C22⋊C4—44no—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2411yescharacteristic
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2411yescharacteristic
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2411yescharacteristic
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C42C2412yes—
994C2×C42C2414yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2412yes—
999C2×C42C2411yescharacteristic
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2414yes—
1011#95C2411yescharacteristic
1012#95C2414yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2411yescharacteristic
1018#95C2412yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2411yescharacteristic
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2411yescharacteristic
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064C24—22no—
1065C24—41no—
1066C24—41no—
1067C24—42no—
1068C24—42no—
1069C24C2512yes—
1070C24C2512yes—
1071C24C2511yescharacteristic
1072C24C2512yes—
1073C24C2514yes—
1074C24C2511yescharacteristic
1075#41—88no—
1076#41—816no—
1077#41—816no—
1078#41—816no—
1079C2×Q8—24no—
1080C2×Q8—24no—
1081C2×Q8—24no—
1082C2×Q8—24no—
1083C2×Q8—24no—
1084C2×Q8—24no—
1085C2×Q8—24no—
1086C2×Q8—41no—
1087C2×Q8—42no—
1088C2×Q8—42no—
1089C2×Q8—42no—
1090C2×Q8—44no—
1091C2×Q8—44no—
1092C2×Q8—42no—
1093C2×Q8—42no—
1094C2×Q8—42no—
1095C2×Q8—41no—
1096C2×Q8—88no—
1097C2×Q8—88no—
1098C2×D4—28no—
1099C2×D4—24no—
1100C2×D4—22no—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—22no—
1104C2×D4—24no—
1105C2×D4—28no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—28no—
1109C2×D4—24no—
1110C2×D4—28no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—41no—
1116C2×D4—42no—
1117C2×D4—44no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—44no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—44no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—42no—
1136C2×D4—41no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—42no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—42no—
1146C2×D4—41no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C2×D4—44no—
1162C2×D4—42no—
1163C22×C4—22no—
1164C22×C4—24no—
1165C22×C4—28no—
1166C22×C4—24no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—28no—
1175C22×C4—24no—
1176C22×C4—28no—
1177C22×C4—28no—
1178C22×C4—24no—
1179C22×C4—44no—
1180C22×C4—42no—
1181C22×C4—41no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—42no—
1186C22×C4—42no—
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—44no—
1196C22×C4—44no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—44no—
1201C22×C4—88no—
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2514yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2514yes—
1218C22×C4C2514yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C4⋊C4—24no—
1226C4⋊C4—22no—
1227C4⋊C4—28no—
1228C4⋊C4—24no—
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—24no—
1232C4⋊C4—22no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—42no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—42no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—41no—
1253C4⋊C4—42no—
1254C4⋊C4—41no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4H(5,𝔽2)14yes—
1266C4⋊C4H(5,𝔽2)18yes—
1267C22⋊C4—24no—
1268C22⋊C4—22no—
1269C22⋊C4—24no—
1270C22⋊C4—28no—
1271C22⋊C4—28no—
1272C22⋊C4—24no—
1273C22⋊C4—24no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—28no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—24no—
1282C22⋊C4—24no—
1283C22⋊C4—24no—
1284C22⋊C4—24no—
1285C22⋊C4—44no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C22⋊C4—44no—
1289C22⋊C4—41no—
1290C22⋊C4—44no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—41no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—41no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
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—42no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C42—28no—
1338C42—24no—
1339C42—28no—
1340C42—28no—
1341C42—22no—
1342C42—24no—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—28no—
1348C42—44no—
1349C42—42no—
1350C42—44no—
1351C42—44no—
1352C42—42no—
1353C42—42no—
1354C42—42no—
1355C23—22no—
1356C23—21no—
1357C23—22no—
1358C23—21no—
1359C23—22no—
1360C23—22no—
1361C23—21no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—24no—
1366C23—24no—
1367C23—24no—
1368C23—22no—
1369C23—24no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—24no—
1376C23—22no—
1377C23—22no—
1378C23—24no—
1379C23—24no—
1380C23—22no—
1381C23—24no—
1382C23—22no—
1383C23—22no—
1384C23—21no—
1385C23—21no—
1386C23—24no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—44no—
1391C23—84no—
1392C23—82no—
1393C23—82no—
1394C23—84no—
1395C23#58512yes—
1396C23C2611yescharacteristic
1397Q8—44no—
1398Q8—48no—
1399Q8—48no—
1400Q8—84no—
1401Q8—84no—
1402Q8—84no—
1403Q8—82no—
1404D4—416no—
1405D4—44no—
1406D4—48no—
1407D4—84no—
1408D4—88no—
1409D4—88no—
1410D4—84no—
1411D4—84no—
1412D4—82no—
1413D4—84no—
1414D4—84no—
1415D4—88no—
1416D4—88no—
1417D4—84no—
1418D4—82no—
1419D4—88no—
1420D4—88no—
1421D4—84no—
1422D4—162no—
1423D4—164no—
1424D4—164no—
1425D4—162no—
1426D4—164no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—416no—
1486C2×C4—44no—
1487C2×C4—48no—
1488C2×C4—44no—
1489C2×C4—48no—
1490C2×C4—84no—
1491C2×C4—88no—
1492C2×C4—88no—
1493C2×C4—84no—
1494C2×C4—82no—
1495C2×C4—84no—
1496C2×C4—84no—
1497C2×C4—84no—
1498C2×C4—88no—
1499C2×C4—88no—
1500C2×C4C2×H(5,𝔽2)18yes—
1501C2×C4C2×H(5,𝔽2)14yes—
1502C2×C4C2×H(5,𝔽2)12yes—
1503C2×C4C2×H(5,𝔽2)14yes—
1504C2×C4#58514yes—
1505C22—24no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—42no—
1510C22—41no—
1511C22—42no—
1512C22—42no—
1513C22—44no—
1514C22—42no—
1515C22—44no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—41no—
1520C22—42no—
1521C22—44no—
1522C22—44no—
1523C22—42no—
1524C22—42no—
1525C22—44no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—41no—
1530C22—44no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—44no—
1536C22—44no—
1537C22—42no—
1538C22—42no—
1539C22—44no—
1540C22—42no—
1541C22—88no—
1542C22C22×H(5,𝔽2)11yescharacteristic
1543C22C22×H(5,𝔽2)12yes—
1544C22C2×#58512yes—
1545C22C2×#58511yescharacteristic
1546C222−1+611yescharacteristic
1547C4—24no—
1548C4—24no—
1549C4—28no—
1550C4—42no—
1551C4—42no—
1552C4—41no—
1553C4—41no—
1554C4—44no—
1555C4—44no—
1556C4—41no—
1557C4—42no—
1558C4—42no—
1559C4—44no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—41no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—44no—
1569C4#354914yes—
1570C2—42no—
1571C2—81no—
1572C2—82no—
1573C2—84no—
1574C2—82no—
1575C2—82no—
1576C2C2×#354911yescharacteristic
1577C2#6291911yescharacteristic
1578C2#6292212yes—
1579C2#6301711yescharacteristic
1580C2#6301812yes—
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. #59953C2semidirect
2. #59894C2semidirect
3. #59564C2semidirect
4. #59002C2semidirect
5. #59001C2semidirect
6. #57510C2semidirect
7. #56913C2semidirect
8. #53988C2semidirect
9. #53414C2semidirect
10. #53074C2semidirect
11. #53032C2semidirect
12. #52294C2semidirect
13. #47604C2semidirect
14. #47569C2semidirect
15. #45244C2semidirect
16. #45091C2semidirect
17. #45063C2semidirect
18. #44914C2semidirect
19. #42910C2semidirect
20. #42433C2semidirect
21. #42222C2semidirect
22. #41234C2semidirect
23. #39954C2semidirect
24. #39954C2semidirect
25. #39862C2semidirect
26. #39722C2semidirect
27. #38956C2semidirect
28. #35941C2semidirect
29. #35856C2semidirect
30. C2×#556C22semidirect
33. C2×#550C22semidirect
37. C2×#537C22semidirect
38. C2×#536C22semidirect
41. #2858C22semidirect
43. #2844C22semidirect
45. #2835C22semidirect
49. #2824C22semidirect
50. #2821C22semidirect
54. #2783C22semidirect
56. #2782C22semidirect
57. #2782C22semidirect
58. #2775C22semidirect
62. #2763C22semidirect
67. #2753C22semidirect
68. #2744C22semidirect
71. #2723C22semidirect
72. #2723C22semidirect
73. #2723C22semidirect
76. #2714C22semidirect
80. #2706C22semidirect
85. #2703C22semidirect
86. #2703C22semidirect
89. #2692C22semidirect
90. #2692C22semidirect
92. #2683C22semidirect
98. #2676C22semidirect
103. #2672C22semidirect
112. #2662C22semidirect
113. #2662C22semidirect
114. #2661C22semidirect
115. #2642C22semidirect
116. #2641C22semidirect
118. #2635C22semidirect
123. #2615C22semidirect
124. #2612C22semidirect
127. #2610C22semidirect
128. #2609C22semidirect
131. #2603C22semidirect
133. #2592C22semidirect
134. #2592C22semidirect
135. #2584C22semidirect
136. #2584C22semidirect
137. #2574C22semidirect
138. #2568C22semidirect
139. #2564C22semidirect
143. #2559C22semidirect
145. #2555C22semidirect
154. #2531C22semidirect
157. #2526C22semidirect
159. #2513C22semidirect
160. #2508C22semidirect
162. #2504C22semidirect
164. #2496C22semidirect
165. #2496C22semidirect
167. #2490C22semidirect
170. #2489C22semidirect
171. #2489C22semidirect
182. #2443C22semidirect
183. #2440C22semidirect
185. #2436C22semidirect
187. #2434C22semidirect
189. #2432C22semidirect
193. #2431C22semidirect
194. #2431C22semidirect
195. #2430C22semidirect
197. #2429C22semidirect
201. #2428C22semidirect
205. #2427C22semidirect
206. #2427C22semidirect
207. #2427C22semidirect
209. #2426C22semidirect
211. #2422C22semidirect
219. #2414C22semidirect
226. #2395C22semidirect
232. #2363C22semidirect
236. #2360C22semidirect
237. #2360C22semidirect
239. #2347C22semidirect
241. #2346C22semidirect
242. #2346C22semidirect
244. #2344C22semidirect
247. #2324C22semidirect
249. #2311C22semidirect
255. #2295C22semidirect
256. #2295C22semidirect
257. #2293C22semidirect
258. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#599532
#598942
#595642
#590022
#590012
#575102
#569132
#539882
#534142
#530742
#530322
#522942
#476042
#475692
#452442
#450912
#450632
#449142
#429102
#424332
#422222
#412342
#399542
#398622
#397222
#389562
#359412
#358562