Finite Group Databasebeta

← #8757466

Subgroups — #8757466

Order 512.

5970 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58251C214yesmaximal, complemented
2#55430C214yesmaximal, complemented
3#54962C214yesmaximal, complemented
4#54847C214yesmaximal, complemented
5#53425C214yesmaximal, complemented
6#53422C214yesmaximal, complemented
7#52004C211yesmaximal, characteristic, complemented
8#51940C212yesmaximal, complemented
9#51902C211yesmaximal, characteristic, complemented
10#50255C212yesmaximal, complemented
11#49681C212yesmaximal, complemented
12#49562C212yesmaximal, complemented
13#49545C212yesmaximal, complemented
14#47689C214yesmaximal, complemented
15#47664C212yesmaximal, complemented
16#46610C214yesmaximal, complemented
17#46430C212yesmaximal, complemented
18#45471C212yesmaximal, complemented
19#45467C214yesmaximal, complemented
20#45452C212yesmaximal, complemented
21#45444C214yesmaximal, complemented
22#35250C212yesmaximal, complemented
23#35149C211yesmaximal, characteristic, complemented
24C23×#41C2211yescharacteristic, complemented
25C2×H(3,𝔽4)C2211yescharacteristic, complemented
26C2×#560C2212yescomplemented
27C2×D42C2211yescharacteristic, complemented
28C2×#538C2212yescomplemented
29C2×#536C2211yescharacteristic, complemented
30C2×#535C2211yescharacteristic
31C2×#535C2212yes—
32C2×#535C2212yescomplemented
33C2×#525C2211yescharacteristic, complemented
34C22×#121C2212yescomplemented
35#2849C2214yescomplemented
36#2847C2214yescomplemented
37#2847C2214yescomplemented
38#2841C2212yescomplemented
39#2832C2212yescomplemented
40#2828C2214yescomplemented
41#2828C2214yescomplemented
42#2828C2214yescomplemented
43#2818C2214yescomplemented
44#2818C2214yescomplemented
45#2816C2212yescomplemented
46#2815C2212yes—
47#2815C2214yescomplemented
48#2813C2214yescomplemented
49#2799C2212yescomplemented
50#2797C2214yescomplemented
51#2797C2214yescomplemented
52#2764C2214yescomplemented
53#2756C2214yescomplemented
54#2756C2214yescomplemented
55#2756C2214yescomplemented
56#2751C2214yescomplemented
57#2750C2214yescomplemented
58#2748C2212yescomplemented
59#2743C2214yescomplemented
60#2741C2214yescomplemented
61#2738C2214yescomplemented
62#2733C2214yescomplemented
63#2733C2212yescomplemented
64#2733C2212yescomplemented
65#2730C2214yescomplemented
66#2717C2214yescomplemented
67#2716C2214yescomplemented
68#2714C2214yescomplemented
69#2714C2214yescomplemented
70#2712C2214yescomplemented
71#2703C2214yescomplemented
72#2703C2214yescomplemented
73#2703C2214yescomplemented
74#2702C2214yescomplemented
75#2699C2214yescomplemented
76#2699C2214yescomplemented
77#2699C2214yescomplemented
78#2697C2214yescomplemented
79#2696C2214yescomplemented
80#2695C2214yescomplemented
81#2691C2214yescomplemented
82#2688C2214yescomplemented
83#2688C2214yescomplemented
84#2688C2214yescomplemented
85#2688C2214yescomplemented
86#2686C2214yescomplemented
87#2686C2214yescomplemented
88#2685C2214yescomplemented
89#2685C2214yescomplemented
90#2684C2212yescomplemented
91#2679C2212yescomplemented
92#2679C2212yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2676C2214yescomplemented
97#2675C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2671C2214yescomplemented
104#2671C2214yescomplemented
105#2670C2214yescomplemented
106#2670C2214yescomplemented
107#2670C2214yescomplemented
108#2670C2214yescomplemented
109#2670C2212yescomplemented
110#2669C2212yescomplemented
111#2669C2212yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2669C2214yescomplemented
118#2669C2214yescomplemented
119#2669C2212yescomplemented
120#2668C2214yescomplemented
121#2668C2214yescomplemented
122#2668C2212yescomplemented
123#2661C2214yescomplemented
124#2657C2212yescomplemented
125#2648C2214yescomplemented
126#2635C2214yescomplemented
127#2631C2212yescomplemented
128#2617C2214yescomplemented
129#2615C2214yescomplemented
130#2615C2214yescomplemented
131#2613C2214yescomplemented
132#2613C2214yescomplemented
133#2610C2212yescomplemented
134#2601C2214yescomplemented
135#2598C2214yescomplemented
136#2598C2212yescomplemented
137#2597C2214yescomplemented
138#2578C2214yescomplemented
139#2577C2214yescomplemented
140#2572C2212yescomplemented
141#2572C2214yescomplemented
142#2561C2212yescomplemented
143#2559C2214yescomplemented
144#2555C2214yescomplemented
145#2555C2214yescomplemented
146#2554C2214yescomplemented
147#2554C2214yescomplemented
148#2544C2214yescomplemented
149#2541C2214yescomplemented
150#2539C2214yescomplemented
151#2532C2214yescomplemented
152#2531C2214yescomplemented
153#2521C2214yescomplemented
154#2516C2214yescomplemented
155#2491C2214yescomplemented
156#2481C2214yescomplemented
157#2480C2214yescomplemented
158#2476C2214yescomplemented
159#2476C2214yescomplemented
160#2474C2214yescomplemented
161#2471C2214yescomplemented
162#2467C2214yescomplemented
163#2467C2214yescomplemented
164#2464C2214yescomplemented
165#2464C2214yescomplemented
166#2459C2214yescomplemented
167#2459C2214yescomplemented
168#2457C2214yescomplemented
169#2457C2214yescomplemented
170#2443C2214yescomplemented
171#2436C2214yescomplemented
172#2433C2214yescomplemented
173#2433C2214yescomplemented
174#2433C2214yescomplemented
175#2432C2212yescomplemented
176#2432C2212yescomplemented
177#2431C2212yes—
178#2431C2214yescomplemented
179#2431C2212yescomplemented
180#2431C2212yescomplemented
181#2431C2214yescomplemented
182#2428C2214yescomplemented
183#2424C2214yescomplemented
184#2424C2214yescomplemented
185#2424C2214yescomplemented
186#2412C2214yescomplemented
187#2410C2214yescomplemented
188#2410C2214yescomplemented
189#2410C2214yescomplemented
190#2410C2214yescomplemented
191#2408C2214yescomplemented
192#2407C2214yescomplemented
193#2407C2214yescomplemented
194#2404C2212yes—
195#2404C2212yescomplemented
196#2404C2212yescomplemented
197#2404C2212yescomplemented
198#2404C2212yescomplemented
199#2403C2212yes—
200#2403C2214yescomplemented
201#2403C2214yescomplemented
202#2403C2212yescomplemented
203#2403C2212yescomplemented
204#2403C2212yescomplemented
205#2380C2211yescharacteristic, complemented
206#2377C2214yescomplemented
207#2376C2212yescomplemented
208#2375C2212yescomplemented
209#2372C2211yescharacteristic, complemented
210#2358C2212yescomplemented
211#2337C2214yescomplemented
212#2332C2212yescomplemented
213#2311C2212yescomplemented
214#2311C2212yescomplemented
215#2310C2211yescharacteristic, complemented
216#2309C2211yescharacteristic, complemented
217#2280C2211yescharacteristic, complemented
218#2280C2212yescomplemented
219C22×#41—44no—
220C22×#41—44no—
221C22×#41—44no—
222C22×#41C2312yes—
223C22×#41C2312yes—
224C22×#41C2312yes—
225C22×#41C2312yes—
226C22×#41C2311yescharacteristic
227C23×Q8C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2312yes—
230C23×D4C2312yes—
231C23×D4C2314yes—
232C23×D4C2312yes—
233C23×D4C2312yes—
234C24×C4C2311yescharacteristic
235C24×C4C2312yes—
236H(3,𝔽4)—44no—
237#560—48no—
238D42—44no—
239#538—48no—
240#536—44no—
241#535—48no—
242#535—48no—
243#535—44no—
244C2×C4⋊Q8C2312yes—
245C2×#127C2311yescharacteristic
246C2×#127C2314yes—
247C2×#127C2311yescharacteristic
248C2×#127C2312yes—
249C2×#127C2314yes—
250C2×#127C2314yes—
251C2×#127C2314yes—
252C2×#126C2314yes—
253C2×#126C2314yes—
254C2×#126C2314yes—
255C2×#124C2314yes—
256C2×#124C2311yescharacteristic
257C2×#124C2312yes—
258C2×#124C2311yescharacteristic
259C2×#124C2312yes—
260C2×#124C2314yes—
261C2×#124C2314yes—
262C2×#124C2312yes—
263C2×#124C2314yes—
264C2×#124C2314yes—
265#525—44no—
266C2×#123C2312yes—
267C2×#123C2314yes—
268C2×#123C2314yes—
269C2×#123C2314yes—
270C2×#123C2314yes—
271C2×#123C2314yes—
272C2×C22⋊Q8C2312yes—
273C2×C22⋊Q8C2312yes—
274C2×C22⋊Q8C2312yes—
275C2×#121—48no—
276C2×#121C2314yes—
277C2×#121C2312yes—
278C2×#121C2314yes—
279C2×#121C2314yes—
280C2×#121C2314yes—
281C2×#121C2314yes—
282C2×#121C2314yes—
283C2×#121C2314yes—
284C2×#121C2314yes—
285C2×#121C2314yes—
286C2×#121C2314yes—
287C2×#121C2314yes—
288C2×#121C2314yes—
289C2×#121C2312yes—
290C2×#121C2314yes—
291C2×#121C2314yes—
292C2×#121C2314yes—
293C2×#121C2314yes—
294C2×#121C2314yes—
295C2×#121C2314yes—
296C2×#121C2314yes—
297C2×#121C2314yes—
298C2×#121C2314yes—
299C2×#120C2312yes—
300C2×#120C2312yes—
301C2×#120C2314yes—
302C2×#120C2312yes—
303C2×#120C2312yes—
304C2×#120C2312yes—
305C2×#120C2314yes—
306C2×#120C2312yes—
307C2×#120C2312yes—
308C2×#120C2312yes—
309C2×#120C2312yes—
310C2×#120C2312yes—
311C2×#120C2314yes—
312C2×#120C2314yes—
313C2×#120C2312yes—
314C2×#120C2314yes—
315C2×#120C2314yes—
316C2×#120C2314yes—
317C2×#120C2314yes—
318C2×#120C2314yes—
319C2×#120C2314yes—
320C2×#120C2314yes—
321C2×#120C2314yes—
322C2×#120C2314yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2314yes—
325C2×C4×D4C2314yes—
326C2×C4×D4C2314yes—
327C2×#117C2311yescharacteristic
328C2×#117C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2312yes—
331C2×#117C2312yes—
332C22×C4⋊C4C2312yes—
333C22×C22⋊C4C2312yes—
334C22×C22⋊C4C2312yes—
335C22×C22⋊C4C2312yes—
336C22×C22⋊C4C2314yes—
337#400C2314yes—
338#400C2312yes—
339#400C2314yes—
340#400C2314yes—
341#400C2314yes—
342#400C2314yes—
343#400C2314yes—
344#399C2314yes—
345#399C2312yes—
346#399C2314yes—
347#399C2314yes—
348#398C2314yes—
349#398C2314yes—
350#398C2314yes—
351#398C2314yes—
352#398C2314yes—
353#397C2314yes—
354#397C2314yes—
355#397C2314yes—
356#397C2314yes—
357#397C2314yes—
358#397C2314yes—
359#397C2314yes—
360#397C2314yes—
361#397C2314yes—
362#397C2314yes—
363#397C2314yes—
364#397C2314yes—
365#397C2314yes—
366#396C2314yes—
367#396C2314yes—
368#396C2314yes—
369#396C2314yes—
370#396C2314yes—
371#395C2312yes—
372#395C2314yes—
373#394C2314yes—
374#394C2314yes—
375#394C2314yes—
376#394C2314yes—
377#394C2314yes—
378#394C2314yes—
379#394C2314yes—
380#394C2314yes—
381#394C2314yes—
382#394C2314yes—
383#394C2314yes—
384#394C2314yes—
385#394C2314yes—
386#394C2314yes—
387#394C2312yes—
388#394C2314yes—
389#394C2314yes—
390#394C2314yes—
391#394C2314yes—
392#394C2314yes—
393#394C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2312yes—
400#394C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#393C2314yes—
412#393C2314yes—
413#393C2312yes—
414#393C2314yes—
415#393C2314yes—
416#393C2314yes—
417#393C2314yes—
418#392C2314yes—
419#392C2314yes—
420#392C2314yes—
421#392C2314yes—
422#392C2314yes—
423#392C2314yes—
424#392C2314yes—
425#392C2314yes—
426#392C2314yes—
427#392C2314yes—
428#392C2314yes—
429#392C2314yes—
430#392C2314yes—
431#392C2314yes—
432#392C2314yes—
433#392C2314yes—
434#392C2314yes—
435#392C2314yes—
436#392C2314yes—
437#392C2314yes—
438#392C2312yes—
439#392C2312yes—
440#392C2314yes—
441#392C2314yes—
442#392C2314yes—
443#392C2314yes—
444#392C2314yes—
445#392C2314yes—
446#392C2314yes—
447#392C2314yes—
448#392C2314yes—
449#392C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2312yes—
469#390C2312yes—
470#390C2312yes—
471#390C2314yes—
472#390C2314yes—
473#390C2314yes—
474#390C2314yes—
475#390C2314yes—
476#390C2314yes—
477#390C2314yes—
478#390C2312yes—
479#390C2314yes—
480#390C2314yes—
481#390C2314yes—
482#390C2314yes—
483#390C2314yes—
484#390C2314yes—
485#390C2314yes—
486#390C2314yes—
487#389C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#387C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#386C2312yes—
531#386C2312yes—
532#386C2312yes—
533#386C2312yes—
534#386C2312yes—
535#386C2312yes—
536#386C2312yes—
537#386C2312yes—
538#386C2314yes—
539#386C2314yes—
540#386C2314yes—
541#386C2314yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yes—
545#386C2314yes—
546#386C2314yes—
547#386C2314yes—
548#386C2314yes—
549#386C2314yes—
550#386C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#386C2314yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2312yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2312yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2314yes—
588#383C2314yes—
589#383C2314yes—
590#383C2312yes—
591#381C2312yes—
592#381C2314yes—
593#381C2314yes—
594#381C2314yes—
595#381C2314yes—
596#381C2312yes—
597#381C2312yes—
598#381C2312yes—
599#380C2314yes—
600#380C2314yes—
601#380C2314yes—
602#380C2314yes—
603#380C2314yes—
604#380C2314yes—
605#380C2314yes—
606#380C2314yes—
607#380C2314yes—
608#379C2314yes—
609#379C2314yes—
610#379C2312yes—
611#379C2314yes—
612#379C2312yes—
613#379C2312yes—
614#379C2314yes—
615C4×C4⋊C4C2314yes—
616C4×C4⋊C4C2314yes—
617C4×C22⋊C4C2312yes—
618C4×C22⋊C4C2314yes—
619C4×C22⋊C4C2314yes—
620C4×C22⋊C4C2314yes—
621C4×C22⋊C4C2314yes—
622C4×C22⋊C4C2312yes—
623C4×C22⋊C4C2314yes—
624C4×C22⋊C4C2314yes—
625C4×C22⋊C4C2312yes—
626#376C2312yes—
627C25C2412yes—
628C25C2412yes—
629C25C2412yes—
630C25C2411yescharacteristic
631C25C2412yes—
632C2×#41—28no—
633C2×#41—28no—
634C2×#41—44no—
635C2×#41—44no—
636C2×#41—44no—
637C2×#41—44no—
638C2×#41—42no—
639C2×#41—44no—
640C2×#41—44no—
641C2×#41—42no—
642C2×#41—44no—
643C2×#41—44no—
644C2×#41—44no—
645C2×#41—44no—
646C2×#41—42no—
647C2×#41—464no—
648C22×Q8—24no—
649C22×Q8—42no—
650C22×Q8—42no—
651C22×Q8C2412yes—
652C22×Q8C2411yescharacteristic
653C22×Q8C2411yescharacteristic
654C22×Q8C2412yes—
655C22×Q8C2411yescharacteristic
656C22×D4—24no—
657C22×D4—42no—
658C22×D4—44no—
659C22×D4—44no—
660C22×D4—44no—
661C22×D4—42no—
662C22×D4—44no—
663C22×D4—44no—
664C22×D4—44no—
665C22×D4—44no—
666C22×D4—44no—
667C22×D4—48no—
668C22×D4—84no—
669C22×D4—84no—
670C22×D4—84no—
671C22×D4—84no—
672C22×D4C2412yes—
673C22×D4C2412yes—
674C22×D4C2414yes—
675C22×D4C2412yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2411yescharacteristic
681C22×D4C2412yes—
682C22×D4C2414yes—
683C22×D4C2414yes—
684C22×D4C2411yescharacteristic
685C22×D4C2412yes—
686C22×D4C2414yes—
687C22×D4C2414yes—
688C22×D4C2412yes—
689C22×D4C2414yes—
690C22×D4C2414yes—
691C22×D4C2414yes—
692C22×D4C2414yes—
693C22×D4C2414yes—
694C22×D4C2412yes—
695C22×D4C2414yes—
696C22×D4C2414yes—
697C22×D4C2414yes—
698C22×D4C2414yes—
699C22×D4C2412yes—
700C22×D4C2414yes—
701C22×D4C2414yes—
702C22×D4C2414yes—
703C22×D4C2414yes—
704C22×D4C2412yes—
705C22×D4C2411yescharacteristic
706C23×C4—28no—
707C23×C4—24no—
708C23×C4—42no—
709C23×C4—42no—
710C23×C4—44no—
711C23×C4—44no—
712C23×C4C2412yes—
713C23×C4C2411yescharacteristic
714C23×C4C2412yes—
715C23×C4C2412yes—
716C23×C4C2412yes—
717C23×C4C2412yes—
718C23×C4C2412yes—
719C23×C4C2412yes—
720C23×C4C2412yes—
721C23×C4C2412yes—
722C23×C4C2412yes—
723C23×C4C2412yes—
724C23×C4C2414yes—
725C23×C4C2414yes—
726C23×C4C2414yes—
727C23×C4C2411yescharacteristic
728C4⋊Q8—44no—
729#127—24no—
730#127—48no—
731#127—42no—
732#127—48no—
733#127—44no—
734#127—84no—
735#127—84no—
736#126—48no—
737#126—48no—
738#126—84no—
739#124—216no—
740#124—24no—
741#124—44no—
742#124—42no—
743#124—48no—
744#124—48no—
745#124—44no—
746#124—44no—
747#124—84no—
748#124—84no—
749#123—28no—
750#123—48no—
751#123—48no—
752#123—48no—
753#123—84no—
754#123—84no—
755C22⋊Q8—28no—
756C22⋊Q8—44no—
757C22⋊Q8—44no—
758#121—216no—
759#121—48no—
760#121—44no—
761#121—48no—
762#121—48no—
763#121—48no—
764#121—44no—
765#121—48no—
766#121—48no—
767#121—48no—
768#121—48no—
769#121—48no—
770#121—48no—
771#121—48no—
772#121—48no—
773#121—84no—
774#121—84no—
775#121—84no—
776#121—84no—
777#121—84no—
778#121—84no—
779#121—84no—
780#121—84no—
781#120—28no—
782#120—28no—
783#120—44no—
784#120—44no—
785#120—44no—
786#120—44no—
787#120—48no—
788#120—44no—
789#120—48no—
790#120—44no—
791#120—44no—
792#120—44no—
793#120—48no—
794#120—48no—
795#120—44no—
796#120—84no—
797#120—84no—
798#120—84no—
799#120—84no—
800#120—84no—
801#120—84no—
802#120—84no—
803#120—84no—
804#120—84no—
805C4×D4—48no—
806C4×D4—44no—
807C4×D4—48no—
808C4×D4—84no—
809#117—42no—
810#117—44no—
811#117—42no—
812#117—44no—
813#117—42no—
814C2×C4⋊C4—44no—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C22⋊C4—44no—
838C2×C22⋊C4—44no—
839C2×C22⋊C4—44no—
840C2×C22⋊C4—84no—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2412yes—
845C2×C22⋊C4C2412yes—
846C2×C22⋊C4C2412yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2412yes—
863C2×C22⋊C4C2412yes—
864C2×C22⋊C4C2412yes—
865C2×C22⋊C4C2412yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2412yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C42C2411yescharacteristic
908C2×C42C2414yes—
909C2×C42C2411yescharacteristic
910C2×C42C2412yes—
911C2×C42C2414yes—
912C2×C42C2412yes—
913C2×C42C2414yes—
914C2×C42C2412yes—
915C2×C42C2414yes—
916C2×C42C2412yes—
917C2×C42C2414yes—
918#95C2412yes—
919#95C2414yes—
920#95C2412yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2412yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2412yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954C24—24no—
955C24—22no—
956C24—24no—
957C24—24no—
958C24—24no—
959C24—42no—
960C24—41no—
961C24—41no—
962C24—44no—
963C24—42no—
964C24—42no—
965C24—44no—
966C24—44no—
967C24—44no—
968C24—42no—
969C24—44no—
970C24—44no—
971C24—44no—
972C24—44no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—44no—
977C24—42no—
978C24C2514yes—
979C24C2512yes—
980C24C2514yes—
981C24C2512yes—
982C24C2512yes—
983C24C2511yescharacteristic
984C24C2512yes—
985#41—432no—
986#41—432no—
987#41—432no—
988#41—432no—
989#41—88no—
990C2×Q8—22no—
991C2×Q8—24no—
992C2×Q8—24no—
993C2×Q8—22no—
994C2×Q8—41no—
995C2×Q8—41no—
996C2×Q8—41no—
997C2×Q8—42no—
998C2×Q8—41no—
999C2×Q8—41no—
1000C2×Q8—41no—
1001C2×Q8—42no—
1002C2×Q8—44no—
1003C2×Q8—416no—
1004C2×Q8H(5,𝔽2)14yes—
1005C2×D4—24no—
1006C2×D4—24no—
1007C2×D4—24no—
1008C2×D4—28no—
1009C2×D4—28no—
1010C2×D4—24no—
1011C2×D4—28no—
1012C2×D4—28no—
1013C2×D4—28no—
1014C2×D4—24no—
1015C2×D4—24no—
1016C2×D4—22no—
1017C2×D4—24no—
1018C2×D4—22no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—41no—
1025C2×D4—41no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—41no—
1029C2×D4—41no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—44no—
1036C2×D4—416no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—42no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—41no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—42no—
1065C2×D4—41no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—432no—
1106C2×D4—816no—
1107C2×D4—832no—
1108C2×D4—816no—
1109C2×D4—816no—
1110C2×D4H(5,𝔽2)14yes—
1111C22×C4—22no—
1112C22×C4—24no—
1113C22×C4—24no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—24no—
1117C22×C4—24no—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—24no—
1121C22×C4—24no—
1122C22×C4—24no—
1123C22×C4—24no—
1124C22×C4—24no—
1125C22×C4—24no—
1126C22×C4—24no—
1127C22×C4—24no—
1128C22×C4—24no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—42no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—42no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—416no—
1156C22×C4—432no—
1157C22×C4H(5,𝔽2)14yes—
1158C22×C4C2512yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2514yes—
1162C22×C4C2514yes—
1163C22×C4C2514yes—
1164C22×C4C2514yes—
1165C22×C4C2514yes—
1166C22×C4C2514yes—
1167C22×C4C2514yes—
1168C22×C4C2514yes—
1169C22×C4C2512yes—
1170C22×C4C2511yescharacteristic
1171C22×C4C2512yes—
1172C22×C4C2511yescharacteristic
1173C22×C4C2512yes—
1174C4⋊C4—28no—
1175C4⋊C4—24no—
1176C4⋊C4—28no—
1177C4⋊C4—28no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—42no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C22⋊C4—24no—
1197C22⋊C4—24no—
1198C22⋊C4—24no—
1199C22⋊C4—28no—
1200C22⋊C4—28no—
1201C22⋊C4—28no—
1202C22⋊C4—28no—
1203C22⋊C4—28no—
1204C22⋊C4—28no—
1205C22⋊C4—28no—
1206C22⋊C4—28no—
1207C22⋊C4—28no—
1208C22⋊C4—28no—
1209C22⋊C4—28no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—42no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—42no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C42—22no—
1263C42—28no—
1264C42—22no—
1265C42—42no—
1266C42—44no—
1267C42—42no—
1268C42—44no—
1269C42—42no—
1270C42—44no—
1271C42—42no—
1272C42—44no—
1273C23—21no—
1274C23—21no—
1275C23—22no—
1276C23—22no—
1277C23—24no—
1278C23—24no—
1279C23—24no—
1280C23—22no—
1281C23—24no—
1282C23—22no—
1283C23—24no—
1284C23—24no—
1285C23—24no—
1286C23—24no—
1287C23—24no—
1288C23—22no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—24no—
1296C23—24no—
1297C23—24no—
1298C23—24no—
1299C23—24no—
1300C23—24no—
1301C23—24no—
1302C23—24no—
1303C23—24no—
1304C23—24no—
1305C23—24no—
1306C23—24no—
1307C23—24no—
1308C23—24no—
1309C23—48no—
1310C23—44no—
1311C23—48no—
1312C23—88no—
1313C23—84no—
1314C23—84no—
1315C23—88no—
1316C23—84no—
1317C23—84no—
1318C23—88no—
1319C23—84no—
1320C23—88no—
1321C23—84no—
1322C23—84no—
1323C23—84no—
1324C23—88no—
1325C23—84no—
1326C23—84no—
1327C23—84no—
1328C23—164no—
1329C23—164no—
1330C23—162no—
1331C23—162no—
1332C23—164no—
1333C23C2×H(5,𝔽2)14yes—
1334C23C2×H(5,𝔽2)12yes—
1335C23C2611yescharacteristic
1336Q8—44no—
1337Q8—48no—
1338Q8—44no—
1339Q8—82no—
1340Q8—162no—
1341D4—44no—
1342D4—48no—
1343D4—48no—
1344D4—48no—
1345D4—44no—
1346D4—48no—
1347D4—48no—
1348D4—48no—
1349D4—88no—
1350D4—88no—
1351D4—82no—
1352D4—88no—
1353D4—88no—
1354D4—88no—
1355D4—88no—
1356D4—88no—
1357D4—84no—
1358D4—88no—
1359D4—88no—
1360D4—88no—
1361D4—88no—
1362D4—88no—
1363D4—164no—
1364D4—164no—
1365D4—164no—
1366D4—162no—
1367D4—164no—
1368D4—164no—
1369D4—164no—
1370D4—164no—
1371D4—164no—
1372D4—162no—
1373D4—164no—
1374D4—164no—
1375C2×C4—28no—
1376C2×C4—216no—
1377C2×C4—21no—
1378C2×C4—22no—
1379C2×C4—21no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—22no—
1386C2×C4—24no—
1387C2×C4—24no—
1388C2×C4—22no—
1389C2×C4—24no—
1390C2×C4—22no—
1391C2×C4—24no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—24no—
1395C2×C4—22no—
1396C2×C4—24no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—24no—
1402C2×C4—24no—
1403C2×C4—24no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—24no—
1407C2×C4—24no—
1408C2×C4—24no—
1409C2×C4—24no—
1410C2×C4—24no—
1411C2×C4—24no—
1412C2×C4—24no—
1413C2×C4—24no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—24no—
1418C2×C4—24no—
1419C2×C4—44no—
1420C2×C4—48no—
1421C2×C4—48no—
1422C2×C4—48no—
1423C2×C4—48no—
1424C2×C4—48no—
1425C2×C4—48no—
1426C2×C4—84no—
1427C2×C4—88no—
1428C2×C4—84no—
1429C2×C4—84no—
1430C2×C4—162no—
1431C2×C4—164no—
1432C2×C4—164no—
1433C2×C4C2×H(5,𝔽2)12yes—
1434C2×C4C2×H(5,𝔽2)14yes—
1435C2×C4C2×H(5,𝔽2)12yes—
1436C2×C4C2×H(5,𝔽2)14yes—
1437C22—28no—
1438C22—22no—
1439C22—24no—
1440C22—24no—
1441C22—42no—
1442C22—42no—
1443C22—44no—
1444C22—42no—
1445C22—42no—
1446C22—44no—
1447C22—44no—
1448C22—44no—
1449C22—44no—
1450C22—44no—
1451C22—44no—
1452C22—44no—
1453C22—44no—
1454C22—42no—
1455C22—42no—
1456C22—44no—
1457C22—44no—
1458C22—44no—
1459C22—44no—
1460C22—44no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—44no—
1465C22—44no—
1466C22—44no—
1467C22—42no—
1468C22—44no—
1469C22—42no—
1470C22—44no—
1471C22—44no—
1472C22—44no—
1473C22—42no—
1474C22—42no—
1475C22—816no—
1476C22—88no—
1477C22—168no—
1478C22—168no—
1479C22—168no—
1480C22C22×H(5,𝔽2)11yescharacteristic
1481C22C22×H(5,𝔽2)11yescharacteristic
1482C22C22×H(5,𝔽2)11yescharacteristic
1483C22H(7,𝔽2)14yes—
1484C4—24no—
1485C4—22no—
1486C4—24no—
1487C4—22no—
1488C4—42no—
1489C4—44no—
1490C4—44no—
1491C4—42no—
1492C4—44no—
1493C4—44no—
1494C4—44no—
1495C4—42no—
1496C4—42no—
1497C4—44no—
1498C4—44no—
1499C4—44no—
1500C2—42no—
1501C2—44no—
1502C2—82no—
1503C2—82no—
1504C2—82no—
1505C2—84no—
1506C2—84no—
1507C2#6281711yescharacteristic
1508C2#6287412yes—
1509C2#6304112yes—
1510C2#6306612yes—
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. #58251C2semidirect
2. #55430C2semidirect
3. #54962C2semidirect
4. #54847C2semidirect
5. #53425C2semidirect
6. #53422C2semidirect
7. #52004C2semidirect
8. #51940C2semidirect
9. #51902C2semidirect
10. #50255C2semidirect
11. #49681C2semidirect
12. #49562C2semidirect
13. #49545C2semidirect
14. #47689C2semidirect
15. #47664C2semidirect
16. #46610C2semidirect
17. #46430C2semidirect
18. #45471C2semidirect
19. #45467C2semidirect
20. #45452C2semidirect
21. #45444C2semidirect
22. #35250C2semidirect
23. #35149C2semidirect
24. C23×#41C22semidirect
25. C2×H(3,𝔽4)C22semidirect
26. C2×#560C22semidirect
27. C2×D42C22semidirect
28. C2×#538C22semidirect
29. C2×#536C22semidirect
32. C2×#535C22semidirect
33. C2×#525C22semidirect
34. C22×#121C22semidirect
35. #2849C22semidirect
36. #2847C22semidirect
37. #2847C22semidirect
38. #2841C22semidirect
39. #2832C22semidirect
40. #2828C22semidirect
41. #2828C22semidirect
42. #2828C22semidirect
43. #2818C22semidirect
44. #2818C22semidirect
45. #2816C22semidirect
47. #2815C22semidirect
48. #2813C22semidirect
49. #2799C22semidirect
50. #2797C22semidirect
51. #2797C22semidirect
52. #2764C22semidirect
53. #2756C22semidirect
54. #2756C22semidirect
55. #2756C22semidirect
56. #2751C22semidirect
57. #2750C22semidirect
58. #2748C22semidirect
59. #2743C22semidirect
60. #2741C22semidirect
61. #2738C22semidirect
62. #2733C22semidirect
63. #2733C22semidirect
64. #2733C22semidirect
65. #2730C22semidirect
66. #2717C22semidirect
67. #2716C22semidirect
68. #2714C22semidirect
69. #2714C22semidirect
70. #2712C22semidirect
71. #2703C22semidirect
72. #2703C22semidirect
73. #2703C22semidirect
74. #2702C22semidirect
75. #2699C22semidirect
76. #2699C22semidirect
77. #2699C22semidirect
78. #2697C22semidirect
79. #2696C22semidirect
80. #2695C22semidirect
81. #2691C22semidirect
82. #2688C22semidirect
83. #2688C22semidirect
84. #2688C22semidirect
85. #2688C22semidirect
86. #2686C22semidirect
87. #2686C22semidirect
88. #2685C22semidirect
89. #2685C22semidirect
90. #2684C22semidirect
91. #2679C22semidirect
92. #2679C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2676C22semidirect
97. #2675C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2671C22semidirect
104. #2671C22semidirect
105. #2670C22semidirect
106. #2670C22semidirect
107. #2670C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2669C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2669C22semidirect
118. #2669C22semidirect
119. #2669C22semidirect
120. #2668C22semidirect
121. #2668C22semidirect
122. #2668C22semidirect
123. #2661C22semidirect
124. #2657C22semidirect
125. #2648C22semidirect
126. #2635C22semidirect
127. #2631C22semidirect
128. #2617C22semidirect
129. #2615C22semidirect
130. #2615C22semidirect
131. #2613C22semidirect
132. #2613C22semidirect
133. #2610C22semidirect
134. #2601C22semidirect
135. #2598C22semidirect
136. #2598C22semidirect
137. #2597C22semidirect
138. #2578C22semidirect
139. #2577C22semidirect
140. #2572C22semidirect
141. #2572C22semidirect
142. #2561C22semidirect
143. #2559C22semidirect
144. #2555C22semidirect
145. #2555C22semidirect
146. #2554C22semidirect
147. #2554C22semidirect
148. #2544C22semidirect
149. #2541C22semidirect
150. #2539C22semidirect
151. #2532C22semidirect
152. #2531C22semidirect
153. #2521C22semidirect
154. #2516C22semidirect
155. #2491C22semidirect
156. #2481C22semidirect
157. #2480C22semidirect
158. #2476C22semidirect
159. #2476C22semidirect
160. #2474C22semidirect
161. #2471C22semidirect
162. #2467C22semidirect
163. #2467C22semidirect
164. #2464C22semidirect
165. #2464C22semidirect
166. #2459C22semidirect
167. #2459C22semidirect
168. #2457C22semidirect
169. #2457C22semidirect
170. #2443C22semidirect
171. #2436C22semidirect
172. #2433C22semidirect
173. #2433C22semidirect
174. #2433C22semidirect
175. #2432C22semidirect
176. #2432C22semidirect
178. #2431C22semidirect
179. #2431C22semidirect
180. #2431C22semidirect
181. #2431C22semidirect
182. #2428C22semidirect
183. #2424C22semidirect
184. #2424C22semidirect
185. #2424C22semidirect
186. #2412C22semidirect
187. #2410C22semidirect
188. #2410C22semidirect
189. #2410C22semidirect
190. #2410C22semidirect
191. #2408C22semidirect
192. #2407C22semidirect
193. #2407C22semidirect
195. #2404C22semidirect
196. #2404C22semidirect
197. #2404C22semidirect
198. #2404C22semidirect
200. #2403C22semidirect
201. #2403C22semidirect
202. #2403C22semidirect
203. #2403C22semidirect
204. #2403C22semidirect
205. #2380C22semidirect
206. #2377C22semidirect
207. #2376C22semidirect
208. #2375C22semidirect
209. #2372C22semidirect
210. #2358C22semidirect
211. #2337C22semidirect
212. #2332C22semidirect
213. #2311C22semidirect
214. #2311C22semidirect
215. #2310C22semidirect
216. #2309C22semidirect
217. #2280C22semidirect
218. #2280C22semidirect

Maximal subgroups

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

subgroupindex
#582512
#554302
#549622
#548472
#534252
#534222
#520042
#519402
#519022
#502552
#496812
#495622
#495452
#476892
#476642
#466102
#464302
#454712
#454672
#454522
#454442
#352502
#351492