Finite Group Databasebeta

← #8899116

Subgroups — #8899116

Order 512.

5844 conjugacy classes of subgroups.

The subgroup lattice has 1474 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58256C212yesmaximal, complemented
2#57215C214yesmaximal, complemented
3#57191C214yesmaximal, complemented
4#56584C212yesmaximal, complemented
5#51940C212yesmaximal, complemented
6#51940C212yesmaximal, complemented
7#51169C214yesmaximal, complemented
8#51133C214yesmaximal, complemented
9#47033C212yesmaximal, complemented
10#46830C214yesmaximal, complemented
11#46602C214yesmaximal, complemented
12#46429C212yesmaximal, complemented
13#46424C214yesmaximal, complemented
14#46354C212yesmaximal, complemented
15#38574C214yesmaximal, complemented
16#38388C214yesmaximal, complemented
17#37820C214yesmaximal, complemented
18#36822C212yesmaximal, complemented
19#36717C211yesmaximal, characteristic, complemented
20#35584C211yesmaximal, characteristic, complemented
21#35513C212yesmaximal, complemented
22#35430C212yesmaximal, complemented
23#35347C211yesmaximal, characteristic, complemented
24C22×H(5,𝔽2)C2211yescharacteristic, complemented
25C2×#544C2211yescharacteristic, complemented
26C2×#538C2214yescomplemented
27C2×#537C2212yes—
28C2×#535C2212yescomplemented
29C2×#534C2212yes—
30C2×#534C2211yescharacteristic, complemented
31C2×#532C2212yescomplemented
32C22×#121C2211yescharacteristic
33#2853C2214yescomplemented
34#2847C2212yescomplemented
35#2835C2212yescomplemented
36#2826C2214yescomplemented
37#2816C2212yescomplemented
38#2816C2214yescomplemented
39#2813C2214yescomplemented
40#2812C2212yescomplemented
41#2803C2214yescomplemented
42#2798C2214yescomplemented
43#2797C2214yescomplemented
44#2797C2214yescomplemented
45#2796C2214yescomplemented
46#2779C2214yescomplemented
47#2752C2214yescomplemented
48#2748C2212yescomplemented
49#2748C2214yescomplemented
50#2748C2212yescomplemented
51#2743C2214yescomplemented
52#2741C2214yescomplemented
53#2740C2214yescomplemented
54#2740C2214yescomplemented
55#2736C2212yescomplemented
56#2729C2214yescomplemented
57#2722C2212yescomplemented
58#2716C2214yescomplemented
59#2714C2214yescomplemented
60#2714C2214yescomplemented
61#2714C2214yescomplemented
62#2711C2214yescomplemented
63#2711C2214yescomplemented
64#2710C2214yescomplemented
65#2710C2214yescomplemented
66#2709C2214yescomplemented
67#2705C2214yescomplemented
68#2705C2214yescomplemented
69#2703C2214yescomplemented
70#2703C2214yescomplemented
71#2703C2214yescomplemented
72#2699C2214yescomplemented
73#2699C2214yescomplemented
74#2697C2214yescomplemented
75#2697C2214yescomplemented
76#2696C2214yescomplemented
77#2695C2214yescomplemented
78#2693C2212yescomplemented
79#2688C2214yescomplemented
80#2687C2214yescomplemented
81#2686C2214yescomplemented
82#2686C2214yescomplemented
83#2685C2214yescomplemented
84#2685C2214yescomplemented
85#2685C2214yescomplemented
86#2681C2214yescomplemented
87#2679C2212yescomplemented
88#2679C2214yescomplemented
89#2679C2212yescomplemented
90#2678C2214yescomplemented
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2677C2214yescomplemented
94#2672C2214yescomplemented
95#2671C2214yescomplemented
96#2671C2214yescomplemented
97#2670C2212yescomplemented
98#2670C2214yescomplemented
99#2669C2214yescomplemented
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2668C2214yescomplemented
103#2661C2214yescomplemented
104#2661C2214yescomplemented
105#2651C2214yescomplemented
106#2649C2214yescomplemented
107#2648C2214yescomplemented
108#2648C2214yescomplemented
109#2635C2214yescomplemented
110#2617C2212yescomplemented
111#2608C2212yescomplemented
112#2601C2214yescomplemented
113#2597C2214yescomplemented
114#2595C2214yescomplemented
115#2591C2212yescomplemented
116#2588C2214yescomplemented
117#2569C2214yescomplemented
118#2561C2212yescomplemented
119#2561C2212yescomplemented
120#2556C2214yescomplemented
121#2554C2214yescomplemented
122#2539C2214yescomplemented
123#2539C2214yescomplemented
124#2539C2214yescomplemented
125#2534C2214yescomplemented
126#2534C2214yescomplemented
127#2521C2214yescomplemented
128#2516C2214yescomplemented
129#2498C2214yescomplemented
130#2491C2214yescomplemented
131#2491C2214yescomplemented
132#2491C2214yescomplemented
133#2490C2214yescomplemented
134#2490C2214yescomplemented
135#2483C2212yescomplemented
136#2479C2214yescomplemented
137#2479C2214yescomplemented
138#2476C2214yescomplemented
139#2476C2214yescomplemented
140#2473C2214yescomplemented
141#2472C2214yescomplemented
142#2471C2214yescomplemented
143#2471C2214yescomplemented
144#2471C2214yescomplemented
145#2468C2214yescomplemented
146#2467C2214yescomplemented
147#2467C2214yescomplemented
148#2464C2214yescomplemented
149#2463C2212yescomplemented
150#2461C2214yescomplemented
151#2459C2214yescomplemented
152#2457C2214yescomplemented
153#2445C2214yescomplemented
154#2445C2214yescomplemented
155#2443C2214yescomplemented
156#2435C2212yescomplemented
157#2435C2212yescomplemented
158#2435C2212yescomplemented
159#2433C2212yes—
160#2433C2212yescomplemented
161#2432C2214yescomplemented
162#2432C2212yescomplemented
163#2432C2212yescomplemented
164#2431C2212yes—
165#2431C2212yescomplemented
166#2430C2214yescomplemented
167#2430C2214yescomplemented
168#2424C2214yescomplemented
169#2419C2214yescomplemented
170#2418C2214yescomplemented
171#2418C2214yescomplemented
172#2418C2214yescomplemented
173#2414C2214yescomplemented
174#2412C2214yescomplemented
175#2411C2214yescomplemented
176#2410C2214yescomplemented
177#2410C2214yescomplemented
178#2410C2214yescomplemented
179#2410C2214yescomplemented
180#2410C2214yescomplemented
181#2410C2214yescomplemented
182#2410C2214yescomplemented
183#2408C2214yescomplemented
184#2408C2214yescomplemented
185#2408C2214yescomplemented
186#2407C2214yescomplemented
187#2407C2214yescomplemented
188#2406C2212yescomplemented
189#2405C2211yescharacteristic, complemented
190#2405C2211yescharacteristic, complemented
191#2404C2212yes—
192#2404C2214yescomplemented
193#2403C2211yescharacteristic
194#2403C2211yescharacteristic
195#2403C2212yescomplemented
196#2403C2212yescomplemented
197#2375C2212yescomplemented
198#2375C2212yescomplemented
199#2364C2214yescomplemented
200#2358C2212yescomplemented
201#2358C2212yescomplemented
202#2342C2214yescomplemented
203#2335C2214yescomplemented
204#2333C2214yescomplemented
205#2333C2212yescomplemented
206#2333C2214yescomplemented
207#2332C2212yescomplemented
208#2324C2214yescomplemented
209#2312C2211yescharacteristic, complemented
210#2311C2212yescomplemented
211#2309C2212yescomplemented
212#2308C2211yescharacteristic, complemented
213C4×#123C2214yescomplemented
214#2297C2212yescomplemented
215C2×#390C2212yescomplemented
216C2×#386C2212yescomplemented
217#2280C2212yescomplemented
218#2274C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—48no—
220C2×H(5,𝔽2)—44no—
221C22×#41C2312yes—
222C22×#41C2312yes—
223C22×#41C2312yes—
224C22×#41C2312yes—
225C23×D4C2311yescharacteristic
226C23×D4C2312yes—
227C23×D4C2312yes—
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2312yes—
232C23×D4C2311yescharacteristic
233C23×D4C2312yes—
234C24×C4C2311yescharacteristic
235#544—44no—
236#538—416no—
237#537—48no—
238#535—48no—
239#534—44no—
240#534—48no—
241#532—48no—
242C2×C4⋊Q8C2312yes—
243C2×C4⋊Q8C2314yes—
244C2×#127C2312yes—
245C2×#127C2312yes—
246C2×#127C2312yes—
247C2×#126C2314yes—
248C2×#126C2314yes—
249C2×#126C2314yes—
250C2×#125C2314yes—
251C2×#124C2314yes—
252C2×#124C2314yes—
253C2×#124C2312yes—
254C2×#124C2312yes—
255C2×#124C2312yes—
256C2×#124C2312yes—
257C2×#123C2314yes—
258C2×#123C2314yes—
259C2×#123C2312yes—
260C2×#123C2312yes—
261C2×#123C2314yes—
262C2×#123C2314yes—
263C2×#123C2314yes—
264C2×#123C2314yes—
265C2×#123C2314yes—
266C2×#123C2314yes—
267C2×C22⋊Q8C2312yes—
268C2×C22⋊Q8C2314yes—
269C2×C22⋊Q8C2312yes—
270C2×C22⋊Q8C2314yes—
271C2×C22⋊Q8C2312yes—
272C2×#121—44no—
273C2×#121C2312yes—
274C2×#121C2314yes—
275C2×#121C2314yes—
276C2×#121C2314yes—
277C2×#121C2314yes—
278C2×#121C2312yes—
279C2×#121C2314yes—
280C2×#121C2314yes—
281C2×#121C2314yes—
282C2×#121C2314yes—
283C2×#121C2314yes—
284C2×#121C2314yes—
285C2×#121C2314yes—
286C2×#121C2314yes—
287C2×#121C2312yes—
288C2×#121C2314yes—
289C2×#121C2314yes—
290C2×#120C2312yes—
291C2×#120C2312yes—
292C2×#120C2312yes—
293C2×#120C2312yes—
294C2×#120C2312yes—
295C2×#120C2312yes—
296C2×#120C2314yes—
297C2×#120C2314yes—
298C2×#120C2314yes—
299C2×#120C2314yes—
300C2×#120C2314yes—
301C2×#120C2314yes—
302C2×#120C2314yes—
303C2×#120C2314yes—
304C2×#120C2314yes—
305C2×#120C2314yes—
306C2×#120C2314yes—
307C2×C4×D4C2314yes—
308C2×C4×D4C2314yes—
309C2×C4×D4C2314yes—
310C2×C4×D4C2314yes—
311C2×C4×D4C2314yes—
312C2×#117C2312yes—
313C2×#117C2312yes—
314C2×#117C2312yes—
315C2×#117C2314yes—
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2312yes—
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2312yes—
321C22×C22⋊C4C2314yes—
322C22×C22⋊C4C2314yes—
323C22×C22⋊C4C2314yes—
324C22×C22⋊C4C2314yes—
325C22×C42C2312yes—
326#400C2314yes—
327#400C2314yes—
328#400C2314yes—
329#400C2314yes—
330#400C2314yes—
331#400C2314yes—
332#399C2314yes—
333#399C2314yes—
334#399C2314yes—
335#399C2314yes—
336#399C2314yes—
337#399C2314yes—
338#399C2314yes—
339#399C2314yes—
340#398C2314yes—
341#398C2314yes—
342#398C2314yes—
343#398C2314yes—
344#398C2314yes—
345#398C2314yes—
346#398C2314yes—
347#397C2312yes—
348#397C2314yes—
349#397C2312yes—
350#397C2314yes—
351#397C2312yes—
352#397C2314yes—
353#397C2314yes—
354#397C2314yes—
355#397C2314yes—
356#397C2314yes—
357#397C2312yes—
358#397C2314yes—
359#397C2314yes—
360#397C2314yes—
361#397C2314yes—
362#396C2314yes—
363#396C2314yes—
364#396C2314yes—
365#396C2314yes—
366#396C2314yes—
367#396C2314yes—
368#396C2314yes—
369#396C2314yes—
370#395C2314yes—
371#395C2314yes—
372#394C2314yes—
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#394C2314yes—
388#394C2314yes—
389#394C2314yes—
390#394C2314yes—
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#393C2312yes—
416#393C2314yes—
417#392C2314yes—
418#392C2312yes—
419#392C2312yes—
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#391C2312yes—
439#391C2312yes—
440#391C2314yes—
441#391C2314yes—
442#390C2312yes—
443#390C2312yes—
444#390C2314yes—
445#390C2312yes—
446#390C2312yes—
447#390C2314yes—
448#390C2312yes—
449#390C2312yes—
450#390C2314yes—
451#390C2314yes—
452#390C2314yes—
453#390C2314yes—
454#390C2314yes—
455#390C2314yes—
456#390C2314yes—
457#390C2314yes—
458#390C2314yes—
459#390C2314yes—
460#390C2314yes—
461#390C2314yes—
462#390C2314yes—
463#390C2314yes—
464#390C2314yes—
465#390C2314yes—
466#390C2314yes—
467#390C2312yes—
468#390C2312yes—
469#390C2312yes—
470#390C2312yes—
471#389C2314yes—
472#389C2314yes—
473#389C2314yes—
474#389C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
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#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#387C2314yes—
520#387C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#386C2314yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2314yes—
530#386C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yes—
534#386C2314yes—
535#386C2314yes—
536#386C2314yes—
537#386C2314yes—
538#386C2314yes—
539#386C2314yes—
540#386C2314yes—
541#386C2314yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yes—
545#386C2312yes—
546#386C2312yes—
547#386C2314yes—
548#386C2314yes—
549#386C2314yes—
550#386C2314yes—
551#386C2312yes—
552#386C2312yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#386C2312yes—
557#386C2312yes—
558#386C2312yes—
559#386C2312yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2312yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
574#385C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2312yes—
578#385C2314yes—
579#385C2314yes—
580#381C2312yes—
581#381C2314yes—
582#381C2314yes—
583#381C2314yes—
584#381C2314yes—
585#381C2314yes—
586#380C2314yes—
587#380C2314yes—
588#380C2312yes—
589#380C2314yes—
590#380C2314yes—
591#380C2314yes—
592#380C2314yes—
593#380C2314yes—
594#380C2314yes—
595#380C2314yes—
596#379C2314yes—
597#379C2314yes—
598#379C2311yescharacteristic
599#379C2311yescharacteristic
600#379C2312yes—
601#379C2314yes—
602#379C2314yes—
603#379C2314yes—
604#379C2312yes—
605#379C2312yes—
606#379C2314yes—
607C4×C4⋊C4C2314yes—
608C4×C4⋊C4C2314yes—
609C4×C4⋊C4C2314yes—
610C4×C4⋊C4C2314yes—
611C4×C22⋊C4C2312yes—
612C4×C22⋊C4C2312yes—
613C4×C22⋊C4C2312yes—
614C4×C22⋊C4C2314yes—
615C4×C22⋊C4C2314yes—
616C4×C22⋊C4C2314yes—
617C4×C22⋊C4C2314yes—
618C4×C22⋊C4C2314yes—
619C4×C22⋊C4C2314yes—
620C4×C22⋊C4C2314yes—
621C4×C22⋊C4C2312yes—
622C4×C22⋊C4C2312yes—
623C2×#95C2314yes—
624C25C2411yescharacteristic
625C25C2412yes—
626C25C2411yescharacteristic
627C25C2411yescharacteristic
628C25C2411yescharacteristic
629C25C2412yes—
630C25C2411yescharacteristic
631H(5,𝔽2)—464no—
632C2×#41—28no—
633C2×#41—28no—
634C2×#41—44no—
635C2×#41—44no—
636C2×#41—44no—
637C2×#41—44no—
638C2×#41—44no—
639C2×#41—44no—
640C2×#41—44no—
641C2×#41—44no—
642C2×#41—44no—
643C2×#41—44no—
644C22×Q8C2412yes—
645C22×Q8C2412yes—
646C22×Q8C2412yes—
647C22×D4—28no—
648C22×D4—28no—
649C22×D4—24no—
650C22×D4—44no—
651C22×D4—44no—
652C22×D4—44no—
653C22×D4—44no—
654C22×D4—44no—
655C22×D4—44no—
656C22×D4—42no—
657C22×D4—42no—
658C22×D4—44no—
659C22×D4—44no—
660C22×D4—44no—
661C22×D4—42no—
662C22×D4—42no—
663C22×D4—44no—
664C22×D4—44no—
665C22×D4—44no—
666C22×D4—44no—
667C22×D4—84no—
668C22×D4C2412yes—
669C22×D4C2412yes—
670C22×D4C2412yes—
671C22×D4C2412yes—
672C22×D4C2412yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2412yes—
681C22×D4C2412yes—
682C22×D4C2412yes—
683C22×D4C2412yes—
684C22×D4C2412yes—
685C22×D4C2412yes—
686C22×D4C2414yes—
687C22×D4C2414yes—
688C22×D4C2414yes—
689C22×D4C2414yes—
690C22×D4C2414yes—
691C22×D4C2412yes—
692C22×D4C2414yes—
693C22×D4C2412yes—
694C23×C4—44no—
695C23×C4—42no—
696C23×C4C2411yescharacteristic
697C23×C4C2412yes—
698C23×C4C2411yescharacteristic
699C23×C4C2412yes—
700C23×C4C2414yes—
701C23×C4C2414yes—
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2414yes—
705C23×C4C2414yes—
706C23×C4C2412yes—
707C23×C4C2414yes—
708C23×C4C2414yes—
709C23×C4C2412yes—
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C4⋊Q8—44no—
713C4⋊Q8—48no—
714#127—44no—
715#127—44no—
716#127—44no—
717#126—48no—
718#126—48no—
719#126—84no—
720#125—48no—
721#124—44no—
722#124—44no—
723#124—44no—
724#124—48no—
725#124—48no—
726#124—44no—
727#123—48no—
728#123—48no—
729#123—48no—
730#123—44no—
731#123—48no—
732#123—48no—
733#123—48no—
734#123—44no—
735#123—84no—
736#123—84no—
737C22⋊Q8—28no—
738C22⋊Q8—44no—
739C22⋊Q8—48no—
740C22⋊Q8—48no—
741C22⋊Q8—44no—
742#121—216no—
743#121—216no—
744#121—216no—
745#121—28no—
746#121—48no—
747#121—48no—
748#121—48no—
749#121—48no—
750#121—48no—
751#121—48no—
752#121—48no—
753#121—44no—
754#121—48no—
755#121—44no—
756#121—48no—
757#121—84no—
758#121—84no—
759#120—44no—
760#120—44no—
761#120—44no—
762#120—44no—
763#120—48no—
764#120—44no—
765#120—48no—
766#120—48no—
767#120—48no—
768#120—44no—
769#120—48no—
770#120—48no—
771#120—84no—
772#120—84no—
773#120—84no—
774#120—84no—
775#120—84no—
776C4×D4—48no—
777C4×D4—48no—
778C4×D4—48no—
779C4×D4—48no—
780C4×D4—84no—
781#117—44no—
782#117—44no—
783#117—44no—
784#117—84no—
785C2×C4⋊C4—24no—
786C2×C4⋊C4—44no—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2412yes—
789C2×C4⋊C4C2412yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2414yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2412yes—
799C2×C4⋊C4C2412yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2412yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2412yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C22⋊C4—24no—
817C2×C22⋊C4—48no—
818C2×C22⋊C4—48no—
819C2×C22⋊C4—42no—
820C2×C22⋊C4—44no—
821C2×C22⋊C4—84no—
822C2×C22⋊C4—84no—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2412yes—
839C2×C22⋊C4C2412yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
879C2×C22⋊C4C2412yes—
880C2×C22⋊C4C2412yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2412yes—
889C2×C42—44no—
890C2×C42C2414yes—
891C2×C42C2412yes—
892C2×C42C2412yes—
893C2×C42C2414yes—
894C2×C42C2414yes—
895C2×C42C2412yes—
896C2×C42C2412yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899C2×C42C2414yes—
900C2×C42C2412yes—
901C2×C42C2412yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2412yes—
907#95C2414yes—
908#95C2412yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2412yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2412yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938C24—24no—
939C24—22no—
940C24—22no—
941C24—22no—
942C24—24no—
943C24—24no—
944C24—24no—
945C24—42no—
946C24—41no—
947C24—42no—
948C24—41no—
949C24—42no—
950C24—42no—
951C24—42no—
952C24—42no—
953C24—44no—
954C24—42no—
955C24—44no—
956C24—42no—
957C24—42no—
958C24—44no—
959C24—44no—
960C24—42no—
961C24—42no—
962C24—42no—
963C24—42no—
964C24—42no—
965C24—42no—
966C24—42no—
967C24—42no—
968C24C2512yes—
969C24C2511yescharacteristic
970C24C2512yes—
971C24C2511yescharacteristic
972C24C2514yes—
973C24C2511yescharacteristic
974C24C2512yes—
975C24C2512yes—
976#41—432no—
977#41—432no—
978#41—432no—
979#41—816no—
980C2×Q8—24no—
981C2×Q8—24no—
982C2×Q8—24no—
983C2×Q8—42no—
984C2×Q8—42no—
985C2×Q8—42no—
986C2×Q8—44no—
987C2×Q8—42no—
988C2×D4—24no—
989C2×D4—24no—
990C2×D4—24no—
991C2×D4—24no—
992C2×D4—24no—
993C2×D4—24no—
994C2×D4—24no—
995C2×D4—24no—
996C2×D4—28no—
997C2×D4—28no—
998C2×D4—28no—
999C2×D4—28no—
1000C2×D4—28no—
1001C2×D4—28no—
1002C2×D4—28no—
1003C2×D4—24no—
1004C2×D4—24no—
1005C2×D4—24no—
1006C2×D4—24no—
1007C2×D4—24no—
1008C2×D4—24no—
1009C2×D4—24no—
1010C2×D4—24no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—432no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—44no—
1052C2×D4—42no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—416no—
1066C2×D4—432no—
1067C2×D4—416no—
1068C2×D4—432no—
1069C2×D4—416no—
1070C2×D4—88no—
1071C2×D4—88no—
1072C2×D4—816no—
1073C2×D4H(5,𝔽2)18yes—
1074C22×C4—24no—
1075C22×C4—22no—
1076C22×C4—24no—
1077C22×C4—24no—
1078C22×C4—24no—
1079C22×C4—24no—
1080C22×C4—28no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—28no—
1084C22×C4—24no—
1085C22×C4—24no—
1086C22×C4—24no—
1087C22×C4—28no—
1088C22×C4—28no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—41no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—41no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—44no—
1102C22×C4—44no—
1103C22×C4—42no—
1104C22×C4—42no—
1105C22×C4—44no—
1106C22×C4—44no—
1107C22×C4—42no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—44no—
1111C22×C4—44no—
1112C22×C4—44no—
1113C22×C4—44no—
1114C22×C4—88no—
1115C22×C4H(5,𝔽2)14yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2514yes—
1119C22×C4C2514yes—
1120C22×C4C2514yes—
1121C22×C4C2514yes—
1122C22×C4C2514yes—
1123C22×C4C2514yes—
1124C22×C4C2514yes—
1125C22×C4C2514yes—
1126C22×C4C2514yes—
1127C22×C4C2512yes—
1128C22×C4C2512yes—
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C4⋊C4—28no—
1132C4⋊C4—24no—
1133C4⋊C4—24no—
1134C4⋊C4—28no—
1135C4⋊C4—28no—
1136C4⋊C4—28no—
1137C4⋊C4—28no—
1138C4⋊C4—28no—
1139C4⋊C4—44no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C4⋊C4—44no—
1151C4⋊C4—42no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—42no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C22⋊C4—28no—
1161C22⋊C4—28no—
1162C22⋊C4—28no—
1163C22⋊C4—28no—
1164C22⋊C4—28no—
1165C22⋊C4—28no—
1166C22⋊C4—28no—
1167C22⋊C4—28no—
1168C22⋊C4—28no—
1169C22⋊C4—28no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
1175C22⋊C4—42no—
1176C22⋊C4—44no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—42no—
1199C22⋊C4—42no—
1200C22⋊C4—42no—
1201C22⋊C4—42no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
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—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C42—44no—
1227C42—42no—
1228C42—42no—
1229C42—42no—
1230C42—42no—
1231C42—42no—
1232C42—42no—
1233C42—44no—
1234C42—44no—
1235C42—44no—
1236C42—44no—
1237C42—44no—
1238C23—28no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—24no—
1245C23—22no—
1246C23—24no—
1247C23—24no—
1248C23—24no—
1249C23—22no—
1250C23—22no—
1251C23—24no—
1252C23—24no—
1253C23—24no—
1254C23—24no—
1255C23—22no—
1256C23—22no—
1257C23—21no—
1258C23—21no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—24no—
1263C23—24no—
1264C23—24no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—24no—
1272C23—24no—
1273C23—24no—
1274C23—24no—
1275C23—44no—
1276C23—48no—
1277C23—44no—
1278C23—44no—
1279C23—44no—
1280C23—82no—
1281C23—82no—
1282C23—88no—
1283C23—82no—
1284C23—82no—
1285C23—82no—
1286C23—82no—
1287C23—88no—
1288C23—88no—
1289C23—88no—
1290C23—84no—
1291C23—88no—
1292C23—162no—
1293C23—161no—
1294C23—161no—
1295C23—162no—
1296C23—164no—
1297C23—164no—
1298C23—162no—
1299C23—162no—
1300C23—161no—
1301C23—161no—
1302C23—164no—
1303C23—164no—
1304C23C2×H(5,𝔽2)12yes—
1305C23C2×H(5,𝔽2)14yes—
1306C23C2×H(5,𝔽2)14yes—
1307C23C2611yescharacteristic
1308Q8—48no—
1309Q8—84no—
1310Q8—162no—
1311D4—48no—
1312D4—48no—
1313D4—48no—
1314D4—48no—
1315D4—48no—
1316D4—48no—
1317D4—48no—
1318D4—48no—
1319D4—48no—
1320D4—84no—
1321D4—84no—
1322D4—84no—
1323D4—88no—
1324D4—88no—
1325D4—88no—
1326D4—88no—
1327D4—88no—
1328D4—88no—
1329D4—88no—
1330D4—88no—
1331D4—88no—
1332D4—162no—
1333D4—164no—
1334D4—164no—
1335D4—164no—
1336D4—164no—
1337C2×C4—28no—
1338C2×C4—216no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—24no—
1346C2×C4—24no—
1347C2×C4—24no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—24no—
1351C2×C4—24no—
1352C2×C4—24no—
1353C2×C4—24no—
1354C2×C4—22no—
1355C2×C4—24no—
1356C2×C4—24no—
1357C2×C4—24no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—24no—
1363C2×C4—24no—
1364C2×C4—24no—
1365C2×C4—24no—
1366C2×C4—24no—
1367C2×C4—24no—
1368C2×C4—24no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—24no—
1372C2×C4—24no—
1373C2×C4—24no—
1374C2×C4—24no—
1375C2×C4—24no—
1376C2×C4—24no—
1377C2×C4—24no—
1378C2×C4—24no—
1379C2×C4—44no—
1380C2×C4—44no—
1381C2×C4—48no—
1382C2×C4—48no—
1383C2×C4—44no—
1384C2×C4—88no—
1385C2×C4—88no—
1386C2×C4—88no—
1387C2×C4—88no—
1388C2×C4—82no—
1389C2×C4—82no—
1390C2×C4—84no—
1391C2×C4—164no—
1392C2×C4—164no—
1393C2×C4C2×H(5,𝔽2)14yes—
1394C2×C4C2×H(5,𝔽2)14yes—
1395C2×C4#58514yes—
1396C22—24no—
1397C22—22no—
1398C22—24no—
1399C22—22no—
1400C22—22no—
1401C22—28no—
1402C22—28no—
1403C22—42no—
1404C22—42no—
1405C22—42no—
1406C22—42no—
1407C22—44no—
1408C22—44no—
1409C22—44no—
1410C22—41no—
1411C22—42no—
1412C22—41no—
1413C22—44no—
1414C22—42no—
1415C22—42no—
1416C22—41no—
1417C22—41no—
1418C22—44no—
1419C22—42no—
1420C22—42no—
1421C22—44no—
1422C22—42no—
1423C22—41no—
1424C22—41no—
1425C22—44no—
1426C22—44no—
1427C22—44no—
1428C22—44no—
1429C22—44no—
1430C22—44no—
1431C22—44no—
1432C22—44no—
1433C22—44no—
1434C22—44no—
1435C22—88no—
1436C22—168no—
1437C22—164no—
1438C22—164no—
1439C22—164no—
1440C22—164no—
1441C22—168no—
1442C22C22×H(5,𝔽2)11yescharacteristic
1443C22C22×H(5,𝔽2)12yes—
1444C22C2×#58512yes—
1445C22H(7,𝔽2)12yes—
1446C4—24no—
1447C4—24no—
1448C4—24no—
1449C4—42no—
1450C4—42no—
1451C4—44no—
1452C4—42no—
1453C4—44no—
1454C4—44no—
1455C4—44no—
1456C4—44no—
1457C4—44no—
1458C4—44no—
1459C4—44no—
1460C4—44no—
1461C2—44no—
1462C2—42no—
1463C2—44no—
1464C2—84no—
1465C2—81no—
1466C2—81no—
1467C2—82no—
1468C2—82no—
1469C2#6281711yescharacteristic
1470C2#6282411yescharacteristic
1471C2#6287611yescharacteristic
1472C2#6292014yes—
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. #58256C2semidirect
2. #57215C2semidirect
3. #57191C2semidirect
4. #56584C2semidirect
5. #51940C2semidirect
6. #51940C2semidirect
7. #51169C2semidirect
8. #51133C2semidirect
9. #47033C2semidirect
10. #46830C2semidirect
11. #46602C2semidirect
12. #46429C2semidirect
13. #46424C2semidirect
14. #46354C2semidirect
15. #38574C2semidirect
16. #38388C2semidirect
17. #37820C2semidirect
18. #36822C2semidirect
19. #36717C2semidirect
20. #35584C2semidirect
21. #35513C2semidirect
22. #35430C2semidirect
23. #35347C2semidirect
24. C22×H(5,𝔽2)C22semidirect
25. C2×#544C22semidirect
26. C2×#538C22semidirect
28. C2×#535C22semidirect
30. C2×#534C22semidirect
31. C2×#532C22semidirect
33. #2853C22semidirect
34. #2847C22semidirect
35. #2835C22semidirect
36. #2826C22semidirect
37. #2816C22semidirect
38. #2816C22semidirect
39. #2813C22semidirect
40. #2812C22semidirect
41. #2803C22semidirect
42. #2798C22semidirect
43. #2797C22semidirect
44. #2797C22semidirect
45. #2796C22semidirect
46. #2779C22semidirect
47. #2752C22semidirect
48. #2748C22semidirect
49. #2748C22semidirect
50. #2748C22semidirect
51. #2743C22semidirect
52. #2741C22semidirect
53. #2740C22semidirect
54. #2740C22semidirect
55. #2736C22semidirect
56. #2729C22semidirect
57. #2722C22semidirect
58. #2716C22semidirect
59. #2714C22semidirect
60. #2714C22semidirect
61. #2714C22semidirect
62. #2711C22semidirect
63. #2711C22semidirect
64. #2710C22semidirect
65. #2710C22semidirect
66. #2709C22semidirect
67. #2705C22semidirect
68. #2705C22semidirect
69. #2703C22semidirect
70. #2703C22semidirect
71. #2703C22semidirect
72. #2699C22semidirect
73. #2699C22semidirect
74. #2697C22semidirect
75. #2697C22semidirect
76. #2696C22semidirect
77. #2695C22semidirect
78. #2693C22semidirect
79. #2688C22semidirect
80. #2687C22semidirect
81. #2686C22semidirect
82. #2686C22semidirect
83. #2685C22semidirect
84. #2685C22semidirect
85. #2685C22semidirect
86. #2681C22semidirect
87. #2679C22semidirect
88. #2679C22semidirect
89. #2679C22semidirect
90. #2678C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2677C22semidirect
94. #2672C22semidirect
95. #2671C22semidirect
96. #2671C22semidirect
97. #2670C22semidirect
98. #2670C22semidirect
99. #2669C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2668C22semidirect
103. #2661C22semidirect
104. #2661C22semidirect
105. #2651C22semidirect
106. #2649C22semidirect
107. #2648C22semidirect
108. #2648C22semidirect
109. #2635C22semidirect
110. #2617C22semidirect
111. #2608C22semidirect
112. #2601C22semidirect
113. #2597C22semidirect
114. #2595C22semidirect
115. #2591C22semidirect
116. #2588C22semidirect
117. #2569C22semidirect
118. #2561C22semidirect
119. #2561C22semidirect
120. #2556C22semidirect
121. #2554C22semidirect
122. #2539C22semidirect
123. #2539C22semidirect
124. #2539C22semidirect
125. #2534C22semidirect
126. #2534C22semidirect
127. #2521C22semidirect
128. #2516C22semidirect
129. #2498C22semidirect
130. #2491C22semidirect
131. #2491C22semidirect
132. #2491C22semidirect
133. #2490C22semidirect
134. #2490C22semidirect
135. #2483C22semidirect
136. #2479C22semidirect
137. #2479C22semidirect
138. #2476C22semidirect
139. #2476C22semidirect
140. #2473C22semidirect
141. #2472C22semidirect
142. #2471C22semidirect
143. #2471C22semidirect
144. #2471C22semidirect
145. #2468C22semidirect
146. #2467C22semidirect
147. #2467C22semidirect
148. #2464C22semidirect
149. #2463C22semidirect
150. #2461C22semidirect
151. #2459C22semidirect
152. #2457C22semidirect
153. #2445C22semidirect
154. #2445C22semidirect
155. #2443C22semidirect
156. #2435C22semidirect
157. #2435C22semidirect
158. #2435C22semidirect
160. #2433C22semidirect
161. #2432C22semidirect
162. #2432C22semidirect
163. #2432C22semidirect
165. #2431C22semidirect
166. #2430C22semidirect
167. #2430C22semidirect
168. #2424C22semidirect
169. #2419C22semidirect
170. #2418C22semidirect
171. #2418C22semidirect
172. #2418C22semidirect
173. #2414C22semidirect
174. #2412C22semidirect
175. #2411C22semidirect
176. #2410C22semidirect
177. #2410C22semidirect
178. #2410C22semidirect
179. #2410C22semidirect
180. #2410C22semidirect
181. #2410C22semidirect
182. #2410C22semidirect
183. #2408C22semidirect
184. #2408C22semidirect
185. #2408C22semidirect
186. #2407C22semidirect
187. #2407C22semidirect
188. #2406C22semidirect
189. #2405C22semidirect
190. #2405C22semidirect
192. #2404C22semidirect
195. #2403C22semidirect
196. #2403C22semidirect
197. #2375C22semidirect
198. #2375C22semidirect
199. #2364C22semidirect
200. #2358C22semidirect
201. #2358C22semidirect
202. #2342C22semidirect
203. #2335C22semidirect
204. #2333C22semidirect
205. #2333C22semidirect
206. #2333C22semidirect
207. #2332C22semidirect
208. #2324C22semidirect
209. #2312C22semidirect
210. #2311C22semidirect
211. #2309C22semidirect
212. #2308C22semidirect
213. C4×#123C22semidirect
214. #2297C22semidirect
215. C2×#390C22semidirect
216. C2×#386C22semidirect
217. #2280C22semidirect
218. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#582562
#572152
#571912
#565842
#519402
#511692
#511332
#470332
#468302
#466022
#464292
#464242
#463542
#385742
#383882
#378202
#368222
#367172
#355842
#355132
#354302
#353472