Finite Group Databasebeta

← #8757642

Subgroups — #8757642

Order 512.

5970 conjugacy classes of subgroups.

The subgroup lattice has 1507 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58122C214yesmaximal, complemented
2#57189C214yesmaximal, complemented
3#56291C214yesmaximal, complemented
4#55601C214yesmaximal, complemented
5#55520C214yesmaximal, complemented
6#54942C214yesmaximal, complemented
7#52083C211yesmaximal, characteristic, complemented
8#51984C212yesmaximal, complemented
9#51930C212yesmaximal, complemented
10#51902C212yesmaximal, complemented
11#51896C212yesmaximal, complemented
12#51831C212yesmaximal, complemented
13#51749C211yesmaximal, characteristic, complemented
14#47177C212yesmaximal, complemented
15#47165C214yesmaximal, complemented
16#46355C212yesmaximal, complemented
17#46351C214yesmaximal, complemented
18#45471C212yesmaximal, complemented
19#45468C214yesmaximal, 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×#555C2211yescharacteristic, complemented
28C2×#536C2211yescharacteristic, complemented
29C2×#535C2212yes—
30C2×#535C2211yescharacteristic
31C2×#535C2212yescomplemented
32C2×#534C2212yescomplemented
33C2×#525C2211yescharacteristic, complemented
34C22×#121C2212yescomplemented
35#2849C2214yescomplemented
36#2847C2214yescomplemented
37#2847C2214yescomplemented
38#2841C2212yescomplemented
39#2828C2212yescomplemented
40#2828C2214yescomplemented
41#2825C2214yescomplemented
42#2825C2214yescomplemented
43#2815C2212yes—
44#2815C2212yescomplemented
45#2815C2214yescomplemented
46#2813C2214yescomplemented
47#2812C2214yescomplemented
48#2812C2214yescomplemented
49#2809C2212yescomplemented
50#2803C2214yescomplemented
51#2797C2214yescomplemented
52#2786C2214yescomplemented
53#2784C2212yescomplemented
54#2778C2214yescomplemented
55#2756C2214yescomplemented
56#2754C2214yescomplemented
57#2753C2214yescomplemented
58#2751C2214yescomplemented
59#2745C2214yescomplemented
60#2741C2214yescomplemented
61#2740C2214yescomplemented
62#2733C2214yescomplemented
63#2733C2212yescomplemented
64#2733C2212yescomplemented
65#2731C2212yescomplemented
66#2731C2212yescomplemented
67#2717C2214yescomplemented
68#2715C2214yescomplemented
69#2714C2214yescomplemented
70#2714C2214yescomplemented
71#2714C2214yescomplemented
72#2714C2214yescomplemented
73#2710C2214yescomplemented
74#2709C2214yescomplemented
75#2708C2214yescomplemented
76#2703C2214yescomplemented
77#2703C2214yescomplemented
78#2703C2214yescomplemented
79#2702C2214yescomplemented
80#2701C2214yescomplemented
81#2700C2214yescomplemented
82#2699C2214yescomplemented
83#2691C2214yescomplemented
84#2688C2214yescomplemented
85#2688C2214yescomplemented
86#2688C2214yescomplemented
87#2685C2214yescomplemented
88#2684C2212yescomplemented
89#2684C2214yescomplemented
90#2679C2212yescomplemented
91#2679C2212yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2676C2214yescomplemented
98#2676C2214yescomplemented
99#2675C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2671C2214yescomplemented
108#2671C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2670C2214yescomplemented
112#2670C2212yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2669C2214yescomplemented
118#2669C2212yescomplemented
119#2669C2214yescomplemented
120#2668C2214yescomplemented
121#2668C2214yescomplemented
122#2668C2212yescomplemented
123#2661C2214yescomplemented
124#2657C2214yescomplemented
125#2653C2214yescomplemented
126#2648C2214yescomplemented
127#2640C2212yescomplemented
128#2631C2212yescomplemented
129#2619C2214yescomplemented
130#2615C2214yescomplemented
131#2615C2214yescomplemented
132#2613C2214yescomplemented
133#2610C2212yescomplemented
134#2610C2214yescomplemented
135#2609C2214yescomplemented
136#2603C2214yescomplemented
137#2598C2212yescomplemented
138#2578C2214yescomplemented
139#2576C2214yescomplemented
140#2557C2214yescomplemented
141#2557C2214yescomplemented
142#2557C2214yescomplemented
143#2555C2212yescomplemented
144#2555C2214yescomplemented
145#2555C2214yescomplemented
146#2553C2214yescomplemented
147#2539C2212yescomplemented
148#2531C2214yescomplemented
149#2531C2214yescomplemented
150#2530C2214yescomplemented
151#2527C2214yescomplemented
152#2526C2214yescomplemented
153#2481C2214yescomplemented
154#2480C2214yescomplemented
155#2477C2214yescomplemented
156#2476C2214yescomplemented
157#2476C2214yescomplemented
158#2476C2214yescomplemented
159#2472C2214yescomplemented
160#2471C2214yescomplemented
161#2471C2214yescomplemented
162#2470C2214yescomplemented
163#2467C2214yescomplemented
164#2464C2214yescomplemented
165#2459C2214yescomplemented
166#2457C2214yescomplemented
167#2443C2214yescomplemented
168#2436C2212yescomplemented
169#2436C2212yescomplemented
170#2433C2212yes—
171#2433C2214yescomplemented
172#2433C2214yescomplemented
173#2433C2214yescomplemented
174#2433C2212yescomplemented
175#2432C2212yescomplemented
176#2432C2212yescomplemented
177#2431C2212yes—
178#2431C2212yescomplemented
179#2431C2212yescomplemented
180#2431C2212yescomplemented
181#2431C2212yescomplemented
182#2431C2212yescomplemented
183#2431C2212yescomplemented
184#2428C2214yescomplemented
185#2428C2214yescomplemented
186#2424C2214yescomplemented
187#2424C2214yescomplemented
188#2424C2214yescomplemented
189#2412C2214yescomplemented
190#2411C2214yescomplemented
191#2410C2214yescomplemented
192#2410C2214yescomplemented
193#2410C2214yescomplemented
194#2410C2214yescomplemented
195#2408C2214yescomplemented
196#2407C2214yescomplemented
197#2407C2214yescomplemented
198#2404C2214yescomplemented
199#2404C2212yescomplemented
200#2404C2214yescomplemented
201#2403C2214yescomplemented
202#2403C2214yescomplemented
203#2403C2214yescomplemented
204#2403C2214yescomplemented
205#2381C2211yescharacteristic, complemented
206#2379C2212yescomplemented
207#2377C2214yescomplemented
208#2376C2212yescomplemented
209#2372C2212yescomplemented
210#2372C2211yescharacteristic, complemented
211#2333C2212yescomplemented
212#2321C2214yescomplemented
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×D4C2314yes—
233C24×C4C2311yescharacteristic
234C24×C4C2312yes—
235H(3,𝔽4)—44no—
236#560—48no—
237#555—44no—
238#536—44no—
239#535—48no—
240#535—44no—
241#535—48no—
242#534—48no—
243C2×C4⋊Q8C2311yescharacteristic
244C2×C4⋊Q8C2311yescharacteristic
245C2×#127C2312yes—
246C2×#127C2312yes—
247C2×#127C2312yes—
248C2×#127C2312yes—
249C2×#127C2312yes—
250C2×#127C2312yes—
251C2×#127C2314yes—
252C2×#127C2314yes—
253C2×#126C2314yes—
254C2×#126C2314yes—
255C2×#124C2312yes—
256C2×#124C2311yescharacteristic
257C2×#124C2312yes—
258C2×#124C2312yes—
259C2×#124C2314yes—
260C2×#124C2311yescharacteristic
261C2×#124C2312yes—
262C2×#124C2312yes—
263C2×#124C2312yes—
264C2×#124C2312yes—
265C2×#124C2314yes—
266C2×#124C2314yes—
267#525—44no—
268C2×#123C2312yes—
269C2×#123C2314yes—
270C2×#123C2314yes—
271C2×#123C2314yes—
272C2×#123C2314yes—
273C2×#123C2314yes—
274C2×#123C2314yes—
275C2×C22⋊Q8C2314yes—
276C2×C22⋊Q8C2312yes—
277C2×#121—48no—
278C2×#121C2312yes—
279C2×#121C2314yes—
280C2×#121C2314yes—
281C2×#121C2314yes—
282C2×#121C2314yes—
283C2×#121C2314yes—
284C2×#121C2314yes—
285C2×#121C2312yes—
286C2×#121C2314yes—
287C2×#121C2312yes—
288C2×#121C2312yes—
289C2×#121C2312yes—
290C2×#121C2312yes—
291C2×#121C2314yes—
292C2×#121C2314yes—
293C2×#121C2312yes—
294C2×#121C2314yes—
295C2×#121C2312yes—
296C2×#121C2314yes—
297C2×#121C2314yes—
298C2×#121C2314yes—
299C2×#121C2314yes—
300C2×#121C2314yes—
301C2×#121C2314yes—
302C2×#121C2314yes—
303C2×#121C2314yes—
304C2×#120C2314yes—
305C2×#120C2314yes—
306C2×#120C2312yes—
307C2×#120C2312yes—
308C2×#120C2314yes—
309C2×#120C2314yes—
310C2×#120C2314yes—
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×#120C2314yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2314yes—
326C2×C4×D4C2314yes—
327C2×#117C2311yescharacteristic
328C2×#117C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2312yes—
331C2×#117C2312yes—
332C2×#117C2314yes—
333C22×C4⋊C4C2312yes—
334C22×C22⋊C4C2314yes—
335C22×C22⋊C4C2312yes—
336C22×C22⋊C4C2314yes—
337#401C2314yes—
338#400C2312yes—
339#400C2314yes—
340#400C2314yes—
341#400C2314yes—
342#400C2314yes—
343#399C2312yes—
344#399C2314yes—
345#399C2314yes—
346#398C2314yes—
347#398C2314yes—
348#398C2314yes—
349#398C2314yes—
350#397C2314yes—
351#397C2314yes—
352#397C2314yes—
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#397C2314yes—
367#396C2314yes—
368#396C2314yes—
369#396C2314yes—
370#396C2314yes—
371#396C2314yes—
372#396C2314yes—
373#395C2314yes—
374#395C2312yes—
375#394C2314yes—
376#394C2314yes—
377#394C2314yes—
378#394C2314yes—
379#394C2314yes—
380#394C2314yes—
381#394C2312yes—
382#394C2314yes—
383#394C2314yes—
384#394C2314yes—
385#394C2314yes—
386#394C2314yes—
387#394C2314yes—
388#394C2314yes—
389#394C2314yes—
390#394C2312yes—
391#394C2314yes—
392#394C2314yes—
393#394C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#393C2312yes—
412#393C2314yes—
413#393C2314yes—
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#392C2312yes—
433#392C2314yes—
434#392C2312yes—
435#392C2314yes—
436#392C2314yes—
437#392C2314yes—
438#392C2314yes—
439#392C2314yes—
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#391C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#390C2312yes—
471#390C2312yes—
472#390C2312yes—
473#390C2312yes—
474#390C2312yes—
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2314yes—
479#390C2314yes—
480#390C2314yes—
481#390C2314yes—
482#390C2314yes—
483#390C2314yes—
484#390C2314yes—
485#390C2312yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2314yes—
490#390C2314yes—
491#390C2314yes—
492#389C2314yes—
493#389C2314yes—
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#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#386C2314yes—
537#386C2314yes—
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#386C2314yes—
566#386C2312yes—
567#386C2314yes—
568#386C2314yes—
569#386C2312yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#383C2312yes—
593#382C2314yes—
594#381C2314yes—
595#381C2312yes—
596#381C2312yes—
597#381C2314yes—
598#381C2314yes—
599#380C2314yes—
600#380C2314yes—
601#380C2314yes—
602#380C2314yes—
603#380C2314yes—
604#380C2314yes—
605#380C2314yes—
606#380C2314yes—
607#379C2314yes—
608#379C2314yes—
609#379C2312yes—
610#379C2314yes—
611#379C2314yes—
612#379C2314yes—
613C4×C22⋊C4C2312yes—
614C4×C22⋊C4C2314yes—
615C4×C22⋊C4C2314yes—
616C4×C22⋊C4C2312yes—
617C4×C22⋊C4C2314yes—
618C4×C22⋊C4C2312yes—
619C4×C22⋊C4C2314yes—
620C4×C22⋊C4C2314yes—
621C4×C22⋊C4C2312yes—
622C4×C22⋊C4C2312yes—
623C4×C22⋊C4C2312yes—
624C4×C22⋊C4C2312yes—
625#376C2312yes—
626#376C2314yes—
627C25C2412yes—
628C25C2414yes—
629C25C2411yescharacteristic
630C25C2412yes—
631C2×#41—28no—
632C2×#41—28no—
633C2×#41—44no—
634C2×#41—44no—
635C2×#41—44no—
636C2×#41—44no—
637C2×#41—42no—
638C2×#41—44no—
639C2×#41—44no—
640C2×#41—42no—
641C2×#41—44no—
642C2×#41—44no—
643C2×#41—44no—
644C2×#41—44no—
645C2×#41—42no—
646C2×#41—464no—
647C22×Q8—24no—
648C22×Q8—42no—
649C22×Q8—42no—
650C22×Q8C2412yes—
651C22×Q8C2411yescharacteristic
652C22×Q8C2411yescharacteristic
653C22×Q8C2412yes—
654C22×Q8C2411yescharacteristic
655C22×D4—24no—
656C22×D4—42no—
657C22×D4—44no—
658C22×D4—44no—
659C22×D4—44no—
660C22×D4—42no—
661C22×D4—44no—
662C22×D4—44no—
663C22×D4—44no—
664C22×D4—48no—
665C22×D4—48no—
666C22×D4—84no—
667C22×D4—84no—
668C22×D4—84no—
669C22×D4—84no—
670C22×D4C2412yes—
671C22×D4C2412yes—
672C22×D4C2414yes—
673C22×D4C2412yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2412yes—
679C22×D4C2411yescharacteristic
680C22×D4C2412yes—
681C22×D4C2414yes—
682C22×D4C2412yes—
683C22×D4C2411yescharacteristic
684C22×D4C2412yes—
685C22×D4C2412yes—
686C22×D4C2414yes—
687C22×D4C2412yes—
688C22×D4C2414yes—
689C22×D4C2414yes—
690C22×D4C2414yes—
691C22×D4C2414yes—
692C22×D4C2414yes—
693C22×D4C2412yes—
694C22×D4C2414yes—
695C22×D4C2414yes—
696C22×D4C2414yes—
697C22×D4C2414yes—
698C22×D4C2414yes—
699C22×D4C2414yes—
700C22×D4C2414yes—
701C22×D4C2414yes—
702C22×D4C2414yes—
703C22×D4C2412yes—
704C22×D4C2411yescharacteristic
705C23×C4—28no—
706C23×C4—24no—
707C23×C4—42no—
708C23×C4—42no—
709C23×C4—44no—
710C23×C4—44no—
711C23×C4C2412yes—
712C23×C4C2411yescharacteristic
713C23×C4C2412yes—
714C23×C4C2412yes—
715C23×C4C2412yes—
716C23×C4C2412yes—
717C23×C4C2412yes—
718C23×C4C2412yes—
719C23×C4C2412yes—
720C23×C4C2414yes—
721C23×C4C2414yes—
722C23×C4C2414yes—
723C23×C4C2412yes—
724C23×C4C2414yes—
725C23×C4C2411yescharacteristic
726C4⋊Q8—24no—
727C4⋊Q8—42no—
728#127—44no—
729#127—44no—
730#127—44no—
731#127—44no—
732#127—44no—
733#127—44no—
734#127—84no—
735#127—84no—
736#126—48no—
737#126—84no—
738#124—28no—
739#124—28no—
740#124—24no—
741#124—48no—
742#124—44no—
743#124—42no—
744#124—44no—
745#124—44no—
746#124—44no—
747#124—44no—
748#124—84no—
749#124—84no—
750#123—28no—
751#123—48no—
752#123—48no—
753#123—48no—
754#123—48no—
755#123—84no—
756#123—84no—
757C22⋊Q8—48no—
758C22⋊Q8—44no—
759#121—28no—
760#121—216no—
761#121—44no—
762#121—44no—
763#121—44no—
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—44no—
774#121—44no—
775#121—44no—
776#121—48no—
777#121—84no—
778#121—84no—
779#121—84no—
780#121—84no—
781#121—84no—
782#121—84no—
783#121—84no—
784#121—84no—
785#120—216no—
786#120—48no—
787#120—48no—
788#120—48no—
789#120—44no—
790#120—48no—
791#120—44no—
792#120—48no—
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—44no—
806C4×D4—48no—
807C4×D4—84no—
808#117—44no—
809#117—42no—
810#117—48no—
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⋊C4C2412yes—
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2412yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C22⋊C4—48no—
839C2×C22⋊C4—44no—
840C2×C22⋊C4—84no—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2412yes—
846C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2412yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2412yes—
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×C42C2412yes—
906C2×C42C2411yescharacteristic
907C2×C42C2412yes—
908C2×C42C2411yescharacteristic
909C2×C42C2412yes—
910C2×C42C2412yes—
911C2×C42C2412yes—
912C2×C42C2412yes—
913C2×C42C2412yes—
914C2×C42C2414yes—
915C2×C42C2414yes—
916C2×C42C2414yes—
917C2×C42C2412yes—
918#95C2414yes—
919#95C2412yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2412yes—
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#95C2412yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2412yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954C24—24no—
955C24—22no—
956C24—24no—
957C24—28no—
958C24—42no—
959C24—41no—
960C24—41no—
961C24—44no—
962C24—42no—
963C24—44no—
964C24—44no—
965C24—44no—
966C24—44no—
967C24—44no—
968C24—44no—
969C24—44no—
970C24—44no—
971C24—44no—
972C24—42no—
973C24—42no—
974C24—44no—
975C24C2514yes—
976C24C2512yes—
977C24C2514yes—
978C24C2512yes—
979C24C2512yes—
980C24C2511yescharacteristic
981C24C2512yes—
982#41—432no—
983#41—432no—
984#41—432no—
985#41—432no—
986#41—88no—
987C2×Q8—24no—
988C2×Q8—24no—
989C2×Q8—22no—
990C2×Q8—22no—
991C2×Q8—42no—
992C2×Q8—41no—
993C2×Q8—41no—
994C2×Q8—41no—
995C2×Q8—41no—
996C2×Q8—41no—
997C2×Q8—41no—
998C2×Q8—42no—
999C2×Q8—44no—
1000C2×Q8—416no—
1001C2×Q8H(5,𝔽2)14yes—
1002C2×D4—24no—
1003C2×D4—24no—
1004C2×D4—24no—
1005C2×D4—28no—
1006C2×D4—28no—
1007C2×D4—24no—
1008C2×D4—28no—
1009C2×D4—28no—
1010C2×D4—28no—
1011C2×D4—24no—
1012C2×D4—24no—
1013C2×D4—22no—
1014C2×D4—24no—
1015C2×D4—22no—
1016C2×D4—24no—
1017C2×D4—28no—
1018C2×D4—24no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—41no—
1026C2×D4—41no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—416no—
1033C2×D4—44no—
1034C2×D4—42no—
1035C2×D4—44no—
1036C2×D4—42no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
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—42no—
1052C2×D4—42no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—41no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—41no—
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—832no—
1109C2×D4H(5,𝔽2)14yes—
1110C22×C4—22no—
1111C22×C4—24no—
1112C22×C4—24no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—24no—
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—41no—
1129C22×C4—41no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—42no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—42no—
1147C22×C4—44no—
1148C22×C4—42no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—416no—
1154C22×C4—432no—
1155C22×C4H(5,𝔽2)14yes—
1156C22×C4C2512yes—
1157C22×C4C2514yes—
1158C22×C4C2514yes—
1159C22×C4C2514yes—
1160C22×C4C2514yes—
1161C22×C4C2514yes—
1162C22×C4C2514yes—
1163C22×C4C2514yes—
1164C22×C4C2514yes—
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2511yescharacteristic
1169C22×C4C2512yes—
1170C22×C4C2511yescharacteristic
1171C22×C4C2512yes—
1172C4⋊C4—28no—
1173C4⋊C4—24no—
1174C4⋊C4—28no—
1175C4⋊C4—28no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—42no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C22⋊C4—28no—
1196C22⋊C4—24no—
1197C22⋊C4—28no—
1198C22⋊C4—28no—
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—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—42no—
1217C22⋊C4—44no—
1218C22⋊C4—42no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—42no—
1229C22⋊C4—44no—
1230C22⋊C4—42no—
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—
1259C42—24no—
1260C42—22no—
1261C42—24no—
1262C42—22no—
1263C42—42no—
1264C42—42no—
1265C42—42no—
1266C42—42no—
1267C42—42no—
1268C42—44no—
1269C42—44no—
1270C42—44no—
1271C42—42no—
1272C23—21no—
1273C23—21no—
1274C23—22no—
1275C23—22no—
1276C23—24no—
1277C23—24no—
1278C23—24no—
1279C23—22no—
1280C23—24no—
1281C23—22no—
1282C23—24no—
1283C23—24no—
1284C23—24no—
1285C23—24no—
1286C23—24no—
1287C23—22no—
1288C23—22no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—24no—
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—48no—
1309C23—44no—
1310C23—48no—
1311C23—48no—
1312C23—88no—
1313C23—84no—
1314C23—84no—
1315C23—88no—
1316C23—88no—
1317C23—88no—
1318C23—84no—
1319C23—88no—
1320C23—84no—
1321C23—88no—
1322C23—88no—
1323C23—164no—
1324C23—164no—
1325C23—162no—
1326C23—164no—
1327C23—162no—
1328C23—164no—
1329C23C2×H(5,𝔽2)14yes—
1330C23C2×H(5,𝔽2)12yes—
1331C23C2611yescharacteristic
1332Q8—44no—
1333Q8—48no—
1334Q8—44no—
1335Q8—82no—
1336Q8—162no—
1337D4—44no—
1338D4—48no—
1339D4—48no—
1340D4—44no—
1341D4—48no—
1342D4—48no—
1343D4—48no—
1344D4—88no—
1345D4—84no—
1346D4—84no—
1347D4—82no—
1348D4—88no—
1349D4—88no—
1350D4—88no—
1351D4—88no—
1352D4—88no—
1353D4—84no—
1354D4—84no—
1355D4—88no—
1356D4—88no—
1357D4—88no—
1358D4—88no—
1359D4—88no—
1360D4—164no—
1361D4—164no—
1362D4—164no—
1363D4—164no—
1364D4—164no—
1365D4—164no—
1366D4—164no—
1367D4—164no—
1368D4—162no—
1369D4—162no—
1370D4—164no—
1371D4—164no—
1372C2×C4—28no—
1373C2×C4—216no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—24no—
1385C2×C4—22no—
1386C2×C4—24no—
1387C2×C4—24no—
1388C2×C4—24no—
1389C2×C4—24no—
1390C2×C4—24no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—24no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—24no—
1399C2×C4—24no—
1400C2×C4—24no—
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—44no—
1417C2×C4—48no—
1418C2×C4—48no—
1419C2×C4—48no—
1420C2×C4—48no—
1421C2×C4—48no—
1422C2×C4—48no—
1423C2×C4—84no—
1424C2×C4—88no—
1425C2×C4—88no—
1426C2×C4—88no—
1427C2×C4—162no—
1428C2×C4—164no—
1429C2×C4C2×H(5,𝔽2)12yes—
1430C2×C4C2×H(5,𝔽2)14yes—
1431C2×C4C2×H(5,𝔽2)12yes—
1432C2×C4C2×H(5,𝔽2)14yes—
1433C22—28no—
1434C22—22no—
1435C22—24no—
1436C22—24no—
1437C22—42no—
1438C22—42no—
1439C22—44no—
1440C22—42no—
1441C22—42no—
1442C22—44no—
1443C22—42no—
1444C22—42no—
1445C22—44no—
1446C22—44no—
1447C22—44no—
1448C22—44no—
1449C22—44no—
1450C22—44no—
1451C22—44no—
1452C22—44no—
1453C22—44no—
1454C22—44no—
1455C22—44no—
1456C22—44no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—44no—
1461C22—44no—
1462C22—44no—
1463C22—42no—
1464C22—44no—
1465C22—42no—
1466C22—44no—
1467C22—44no—
1468C22—44no—
1469C22—42no—
1470C22—42no—
1471C22—816no—
1472C22—88no—
1473C22—1616no—
1474C22—168no—
1475C22C22×H(5,𝔽2)11yescharacteristic
1476C22C22×H(5,𝔽2)11yescharacteristic
1477C22C22×H(5,𝔽2)11yescharacteristic
1478C22H(7,𝔽2)14yes—
1479C4—24no—
1480C4—22no—
1481C4—24no—
1482C4—22no—
1483C4—44no—
1484C4—44no—
1485C4—44no—
1486C4—42no—
1487C4—44no—
1488C4—44no—
1489C4—42no—
1490C4—42no—
1491C4—42no—
1492C4—44no—
1493C4—44no—
1494C4—44no—
1495C2—42no—
1496C2—44no—
1497C2—82no—
1498C2—82no—
1499C2—82no—
1500C2—84no—
1501C2—84no—
1502C2#6281711yescharacteristic
1503C2#6287412yes—
1504C2#6304112yes—
1505C2#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. #58122C2semidirect
2. #57189C2semidirect
3. #56291C2semidirect
4. #55601C2semidirect
5. #55520C2semidirect
6. #54942C2semidirect
7. #52083C2semidirect
8. #51984C2semidirect
9. #51930C2semidirect
10. #51902C2semidirect
11. #51896C2semidirect
12. #51831C2semidirect
13. #51749C2semidirect
14. #47177C2semidirect
15. #47165C2semidirect
16. #46355C2semidirect
17. #46351C2semidirect
18. #45471C2semidirect
19. #45468C2semidirect
20. #45452C2semidirect
21. #45444C2semidirect
22. #35250C2semidirect
23. #35149C2semidirect
24. C23×#41C22semidirect
25. C2×H(3,𝔽4)C22semidirect
26. C2×#560C22semidirect
27. C2×#555C22semidirect
28. C2×#536C22semidirect
31. C2×#535C22semidirect
32. C2×#534C22semidirect
33. C2×#525C22semidirect
34. C22×#121C22semidirect
35. #2849C22semidirect
36. #2847C22semidirect
37. #2847C22semidirect
38. #2841C22semidirect
39. #2828C22semidirect
40. #2828C22semidirect
41. #2825C22semidirect
42. #2825C22semidirect
44. #2815C22semidirect
45. #2815C22semidirect
46. #2813C22semidirect
47. #2812C22semidirect
48. #2812C22semidirect
49. #2809C22semidirect
50. #2803C22semidirect
51. #2797C22semidirect
52. #2786C22semidirect
53. #2784C22semidirect
54. #2778C22semidirect
55. #2756C22semidirect
56. #2754C22semidirect
57. #2753C22semidirect
58. #2751C22semidirect
59. #2745C22semidirect
60. #2741C22semidirect
61. #2740C22semidirect
62. #2733C22semidirect
63. #2733C22semidirect
64. #2733C22semidirect
65. #2731C22semidirect
66. #2731C22semidirect
67. #2717C22semidirect
68. #2715C22semidirect
69. #2714C22semidirect
70. #2714C22semidirect
71. #2714C22semidirect
72. #2714C22semidirect
73. #2710C22semidirect
74. #2709C22semidirect
75. #2708C22semidirect
76. #2703C22semidirect
77. #2703C22semidirect
78. #2703C22semidirect
79. #2702C22semidirect
80. #2701C22semidirect
81. #2700C22semidirect
82. #2699C22semidirect
83. #2691C22semidirect
84. #2688C22semidirect
85. #2688C22semidirect
86. #2688C22semidirect
87. #2685C22semidirect
88. #2684C22semidirect
89. #2684C22semidirect
90. #2679C22semidirect
91. #2679C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2676C22semidirect
98. #2676C22semidirect
99. #2675C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2671C22semidirect
108. #2671C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2670C22semidirect
112. #2670C22semidirect
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. #2653C22semidirect
126. #2648C22semidirect
127. #2640C22semidirect
128. #2631C22semidirect
129. #2619C22semidirect
130. #2615C22semidirect
131. #2615C22semidirect
132. #2613C22semidirect
133. #2610C22semidirect
134. #2610C22semidirect
135. #2609C22semidirect
136. #2603C22semidirect
137. #2598C22semidirect
138. #2578C22semidirect
139. #2576C22semidirect
140. #2557C22semidirect
141. #2557C22semidirect
142. #2557C22semidirect
143. #2555C22semidirect
144. #2555C22semidirect
145. #2555C22semidirect
146. #2553C22semidirect
147. #2539C22semidirect
148. #2531C22semidirect
149. #2531C22semidirect
150. #2530C22semidirect
151. #2527C22semidirect
152. #2526C22semidirect
153. #2481C22semidirect
154. #2480C22semidirect
155. #2477C22semidirect
156. #2476C22semidirect
157. #2476C22semidirect
158. #2476C22semidirect
159. #2472C22semidirect
160. #2471C22semidirect
161. #2471C22semidirect
162. #2470C22semidirect
163. #2467C22semidirect
164. #2464C22semidirect
165. #2459C22semidirect
166. #2457C22semidirect
167. #2443C22semidirect
168. #2436C22semidirect
169. #2436C22semidirect
171. #2433C22semidirect
172. #2433C22semidirect
173. #2433C22semidirect
174. #2433C22semidirect
175. #2432C22semidirect
176. #2432C22semidirect
178. #2431C22semidirect
179. #2431C22semidirect
180. #2431C22semidirect
181. #2431C22semidirect
182. #2431C22semidirect
183. #2431C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2424C22semidirect
187. #2424C22semidirect
188. #2424C22semidirect
189. #2412C22semidirect
190. #2411C22semidirect
191. #2410C22semidirect
192. #2410C22semidirect
193. #2410C22semidirect
194. #2410C22semidirect
195. #2408C22semidirect
196. #2407C22semidirect
197. #2407C22semidirect
198. #2404C22semidirect
199. #2404C22semidirect
200. #2404C22semidirect
201. #2403C22semidirect
202. #2403C22semidirect
203. #2403C22semidirect
204. #2403C22semidirect
205. #2381C22semidirect
206. #2379C22semidirect
207. #2377C22semidirect
208. #2376C22semidirect
209. #2372C22semidirect
210. #2372C22semidirect
211. #2333C22semidirect
212. #2321C22semidirect
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
#581222
#571892
#562912
#556012
#555202
#549422
#520832
#519842
#519302
#519022
#518962
#518312
#517492
#471772
#471652
#463552
#463512
#454712
#454682
#454522
#454442
#352502
#351492