Finite Group Databasebeta

← #8141462

Subgroups — #8141462

Order 512.

5692 conjugacy classes of subgroups.

The subgroup lattice has 1505 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#55008C214yesmaximal, complemented
2#54957C214yesmaximal, complemented
3#54953C214yesmaximal, complemented
4#54815C214yesmaximal, complemented
5#48506C214yesmaximal, complemented
6#48423C214yesmaximal, complemented
7#48100C214yesmaximal, complemented
8#47826C214yesmaximal, complemented
9#46089C212yesmaximal, complemented
10#45988C212yesmaximal, complemented
11#42998C214yesmaximal, complemented
12#40762C214yesmaximal, complemented
13#39805C212yesmaximal, complemented
14#37891C212yesmaximal, complemented
15#37752C212yesmaximal, complemented
16#37672C212yesmaximal, complemented
17#37672C212yesmaximal, complemented
18#37446C212yesmaximal, complemented
19#36730C212yesmaximal, complemented
20#36096C212yesmaximal, complemented
21#35003C211yesmaximal, characteristic, complemented
22#34993C211yesmaximal, characteristic, complemented
23C2×#2420C211yesmaximal, characteristic, complemented
24C2×#546C2212yescomplemented
25C2×D42C2214yescomplemented
26C2×#543C2211yescharacteristic, complemented
27C2×#538C2212yescomplemented
28C2×#534C2211yescharacteristic
29C2×#534C2212yescomplemented
30C2×#525C2212yescomplemented
31C22×#121C2211yescharacteristic
32C22×#121C2212yescomplemented
33C22×C4×D4C2211yescharacteristic, complemented
34#2850C2212yescomplemented
35#2850C2212yescomplemented
36#2850C2212yescomplemented
37#2848C2212yescomplemented
38#2847C2212yes—
39#2847C2212yescomplemented
40#2845C2212yescomplemented
41#2828C2214yescomplemented
42#2828C2214yescomplemented
43#2827C2214yescomplemented
44#2819C2212yescomplemented
45#2816C2214yescomplemented
46#2815C2214yescomplemented
47#2807C2214yescomplemented
48#2804C2212yescomplemented
49#2803C2214yescomplemented
50#2797C2214yescomplemented
51#2797C2214yescomplemented
52#2781C2214yescomplemented
53#2781C2214yescomplemented
54#2778C2214yescomplemented
55#2778C2214yescomplemented
56#2773C2214yescomplemented
57#2770C2214yescomplemented
58#2756C2214yescomplemented
59#2754C2214yescomplemented
60#2754C2214yescomplemented
61#2753C2214yescomplemented
62#2753C2214yescomplemented
63#2746C2214yescomplemented
64#2745C2214yescomplemented
65#2741C2214yescomplemented
66#2738C2214yescomplemented
67#2737C2214yescomplemented
68#2736C2214yescomplemented
69#2733C2212yescomplemented
70#2733C2212yescomplemented
71#2728C2214yescomplemented
72#2710C2214yescomplemented
73#2710C2214yescomplemented
74#2708C2214yescomplemented
75#2706C2214yescomplemented
76#2706C2214yescomplemented
77#2703C2214yescomplemented
78#2701C2214yescomplemented
79#2701C2214yescomplemented
80#2700C2214yescomplemented
81#2696C2214yescomplemented
82#2691C2214yescomplemented
83#2688C2214yescomplemented
84#2687C2214yescomplemented
85#2686C2214yescomplemented
86#2685C2214yescomplemented
87#2684C2214yescomplemented
88#2681C2214yescomplemented
89#2679C2212yescomplemented
90#2678C2214yescomplemented
91#2676C2214yescomplemented
92#2673C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2671C2214yescomplemented
96#2671C2214yescomplemented
97#2671C2214yescomplemented
98#2670C2214yescomplemented
99#2670C2214yescomplemented
100#2670C2214yescomplemented
101#2669C2214yescomplemented
102#2669C2214yescomplemented
103#2668C2214yes—
104#2668C2214yescomplemented
105#2659C2211yescharacteristic, complemented
106#2656C2212yes—
107#2656C2212yescomplemented
108#2656C2211yescharacteristic, complemented
109#2653C2214yescomplemented
110#2651C2214yescomplemented
111#2646C2212yescomplemented
112#2639C2212yescomplemented
113#2639C2212yescomplemented
114#2639C2212yescomplemented
115#2635C2214yescomplemented
116#2635C2214yescomplemented
117#2631C2214yescomplemented
118#2623C2214yescomplemented
119#2622C2214yescomplemented
120#2617C2212yescomplemented
121#2617C2212yescomplemented
122#2617C2212yescomplemented
123#2613C2214yescomplemented
124#2602C2214yescomplemented
125#2597C2214yescomplemented
126#2596C2214yescomplemented
127#2591C2214yescomplemented
128#2589C2214yescomplemented
129#2559C2214yescomplemented
130#2555C2214yescomplemented
131#2553C2214yescomplemented
132#2544C2214yescomplemented
133#2543C2214yescomplemented
134#2543C2214yescomplemented
135#2543C2214yescomplemented
136#2543C2214yescomplemented
137#2540C2212yescomplemented
138#2535C2212yescomplemented
139#2521C2214yescomplemented
140#2510C2214yescomplemented
141#2510C2214yescomplemented
142#2488C2214yescomplemented
143#2488C2214yescomplemented
144#2482C2214yescomplemented
145#2477C2214yescomplemented
146#2472C2214yescomplemented
147#2472C2214yescomplemented
148#2472C2214yescomplemented
149#2472C2214yescomplemented
150#2468C2214yescomplemented
151#2464C2214yescomplemented
152#2464C2214yescomplemented
153#2464C2214yescomplemented
154#2463C2214yescomplemented
155#2459C2214yescomplemented
156#2456C2214yescomplemented
157#2455C2214yescomplemented
158#2450C2214yescomplemented
159#2450C2214yescomplemented
160#2443C2214yescomplemented
161#2443C2214yescomplemented
162#2443C2214yescomplemented
163#2443C2214yescomplemented
164#2427C2214yescomplemented
165#2424C2214yescomplemented
166#2424C2214yescomplemented
167#2420C2214yescomplemented
168#2420C2214yescomplemented
169#2420C2214yescomplemented
170#2420C2214yescomplemented
171#2418C2214yescomplemented
172#2418C2214yescomplemented
173#2418C2214yescomplemented
174#2418C2214yescomplemented
175#2418C2214yescomplemented
176#2417C2212yescomplemented
177#2414C2212yescomplemented
178#2410C2214yescomplemented
179#2410C2214yescomplemented
180#2410C2214yescomplemented
181#2410C2214yescomplemented
182#2410C2214yescomplemented
183#2410C2214yescomplemented
184#2410C2214yescomplemented
185#2408C2212yescomplemented
186#2408C2214yescomplemented
187#2407C2212yescomplemented
188#2407C2214yescomplemented
189#2405C2214yescomplemented
190#2404C2214yescomplemented
191#2403C2214yescomplemented
192#2403C2214yescomplemented
193C2×#397C2212yescomplemented
194C2×#394C2212yescomplemented
195#2379C2212yescomplemented
196#2379C2212yescomplemented
197#2375C2214yescomplemented
198#2361C2214yescomplemented
199#2358C2214yescomplemented
200#2358C2214yescomplemented
201#2352C2212yescomplemented
202D4×C22⋊C4C2214yescomplemented
203#2329C2212yescomplemented
204#2325C2212yescomplemented
205#2325C2212yescomplemented
206#2325C2212yescomplemented
207#2325C2212yescomplemented
208#2312C2212yescomplemented
209#2308C2212yescomplemented
210C4×#121C2212yescomplemented
211C2×#390C2211yescharacteristic, complemented
212C2×#389C2211yescharacteristic, complemented
213C2×#386C2212yescomplemented
214C2×#386C2212yescomplemented
215C2×#382C2211yescharacteristic, complemented
216C2×#381C2212yescomplemented
217C2×#380C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C22×#41C2312yes—
220C23×D4C2312yes—
221C23×D4C2311yescharacteristic
222C23×D4C2312yes—
223C23×D4C2314yes—
224C23×D4C2312yes—
225C23×D4C2314yes—
226C24×C4C2312yes—
227C24×C4C2311yescharacteristic
228#546—48no—
229D42—416no—
230#543—44no—
231#538—48no—
232#534—44no—
233#534—48no—
234C2×#127C2314yes—
235C2×#126C2314yes—
236C2×#124C2312yes—
237C2×#124C2312yes—
238C2×#124C2312yes—
239C2×#124C2314yes—
240C2×#124C2314yes—
241C2×#124C2314yes—
242#525—48no—
243C2×#123C2314yes—
244C2×#123C2314yes—
245C2×#123C2314yes—
246C2×#123C2314yes—
247C2×#123C2314yes—
248C2×#123C2314yes—
249C2×#123C2314yes—
250C2×C22⋊Q8C2312yes—
251C2×C22⋊Q8C2312yes—
252C2×C22⋊Q8C2312yes—
253C2×C22⋊Q8C2312yes—
254C2×C22⋊Q8C2312yes—
255C2×C22⋊Q8C2314yes—
256C2×C22⋊Q8C2314yes—
257C2×C22⋊Q8C2312yes—
258C2×#121—48no—
259C2×#121—44no—
260C2×#121C2312yes—
261C2×#121C2312yes—
262C2×#121C2312yes—
263C2×#121C2314yes—
264C2×#121C2312yes—
265C2×#121C2312yes—
266C2×#121C2314yes—
267C2×#121C2312yes—
268C2×#121C2312yes—
269C2×#121C2312yes—
270C2×#121C2312yes—
271C2×#121C2312yes—
272C2×#121C2312yes—
273C2×#121C2312yes—
274C2×#121C2314yes—
275C2×#121C2314yes—
276C2×#121C2314yes—
277C2×#121C2312yes—
278C2×#121C2314yes—
279C2×#121C2314yes—
280C2×#121C2314yes—
281C2×#121C2314yes—
282C2×#121C2314yes—
283C2×#121C2314yes—
284C2×#121C2312yes—
285C2×#121C2314yes—
286C2×#120C2314yes—
287C2×#120C2314yes—
288C2×#120C2314yes—
289C2×#120C2314yes—
290C2×#120C2314yes—
291C2×#120C2314yes—
292C2×#120C2314yes—
293C2×#120C2314yes—
294C2×#120C2314yes—
295C2×#120C2314yes—
296C2×#120C2314yes—
297C2×#120C2314yes—
298C2×C4×D4—44no—
299C2×C4×D4C2312yes—
300C2×C4×D4C2314yes—
301C2×C4×D4C2314yes—
302C2×C4×D4C2314yes—
303C2×C4×D4C2314yes—
304C2×C4×D4C2312yes—
305C2×C4×D4C2314yes—
306C2×C4×D4C2312yes—
307C2×C4×D4C2312yes—
308C2×C4×D4C2312yes—
309C2×C4×D4C2314yes—
310C2×C4×D4C2314yes—
311C2×#117C2312yes—
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2312yes—
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2312yes—
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2312yes—
320C22×C22⋊C4C2312yes—
321C22×C22⋊C4C2312yes—
322C22×C22⋊C4C2314yes—
323C22×C22⋊C4C2314yes—
324C22×C22⋊C4C2312yes—
325C22×C22⋊C4C2312yes—
326C22×C22⋊C4C2312yes—
327C22×C22⋊C4C2312yes—
328C22×C22⋊C4C2312yes—
329C22×C42C2311yescharacteristic
330C22×C42C2311yescharacteristic
331#401C2314yes—
332#400C2314yes—
333#400C2314yes—
334#400C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2314yes—
338#400C2314yes—
339#400C2314yes—
340#399C2314yes—
341#399C2314yes—
342#399C2314yes—
343#399C2314yes—
344#399C2314yes—
345#399C2314yes—
346#399C2314yes—
347#398C2314yes—
348#398C2314yes—
349#398C2314yes—
350#398C2314yes—
351#398C2314yes—
352#398C2314yes—
353#398C2314yes—
354#398C2314yes—
355#398C2314yes—
356#397C2314yes—
357#397C2314yes—
358#397C2314yes—
359#397C2314yes—
360#397C2314yes—
361#397C2314yes—
362#397C2314yes—
363#397C2314yes—
364#397C2314yes—
365#397C2314yes—
366#397C2314yes—
367#397C2314yes—
368#397C2314yes—
369#397C2314yes—
370#397C2314yes—
371#397C2314yes—
372#397C2314yes—
373#397C2314yes—
374#397C2314yes—
375#396C2314yes—
376#396C2314yes—
377#396C2314yes—
378#395C2314yes—
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#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#393C2314yes—
415#393C2314yes—
416#393C2314yes—
417#393C2314yes—
418#393C2314yes—
419#393C2314yes—
420#393C2314yes—
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#392C2314yes—
439#392C2314yes—
440#392C2314yes—
441#392C2314yes—
442#392C2314yes—
443#391C2314yes—
444#391C2312yes—
445#391C2312yes—
446#391C2312yes—
447#391C2314yes—
448#391C2314yes—
449#390C2312yes—
450#390C2314yes—
451#390C2314yes—
452#390C2312yes—
453#390C2312yes—
454#390C2312yes—
455#390C2314yes—
456#390C2314yes—
457#390C2314yes—
458#390C2314yes—
459#390C2312yes—
460#390C2314yes—
461#390C2312yes—
462#390C2314yes—
463#389C2314yes—
464#389C2314yes—
465#389C2314yes—
466#389C2314yes—
467#389C2312yes—
468#388C2314yes—
469#388C2314yes—
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
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#387C2314yes—
504#387C2314yes—
505#387C2314yes—
506#387C2314yes—
507#387C2314yes—
508#387C2314yes—
509#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#386C2314yes—
514#386C2314yes—
515#386C2314yes—
516#386C2314yes—
517#386C2314yes—
518#386C2314yes—
519#386C2314yes—
520#386C2314yes—
521#386C2314yes—
522#386C2314yes—
523#386C2314yes—
524#386C2314yes—
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#386C2314yes—
546#386C2314yes—
547#386C2314yes—
548#386C2314yes—
549#386C2314yes—
550#386C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#386C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
574#385C2314yes—
575#383C2314yes—
576#382C2312yes—
577#382C2312yes—
578#382C2312yes—
579#382C2312yes—
580#382C2312yes—
581#382C2314yes—
582#381C2314yes—
583#381C2314yes—
584#381C2314yes—
585#381C2314yes—
586#381C2314yes—
587#380C2312yes—
588#380C2312yes—
589#380C2312yes—
590#380C2312yes—
591#380C2312yes—
592#380C2312yes—
593#380C2312yes—
594#380C2312yes—
595#380C2312yes—
596#380C2314yes—
597#380C2312yes—
598#380C2314yes—
599#380C2314yes—
600#380C2314yes—
601#379C2314yes—
602#379C2314yes—
603#379C2314yes—
604#379C2314yes—
605#379C2314yes—
606#379C2314yes—
607#379C2314yes—
608C4×C4⋊C4C2314yes—
609C4×C4⋊C4C2312yes—
610C4×C22⋊C4C2314yes—
611C4×C22⋊C4C2314yes—
612C4×C22⋊C4C2314yes—
613C4×C22⋊C4C2314yes—
614C4×C22⋊C4C2314yes—
615C4×C22⋊C4C2314yes—
616C2×#95C2311yescharacteristic
617C2×#95C2312yes—
618C2×#95C2312yes—
619C2×#95C2312yes—
620C2×#95C2311yescharacteristic
621C2×#95C2312yes—
622C2×#95C2312yes—
623C2×#95C2312yes—
624C25C2412yes—
625C25C2411yescharacteristic
626C25C2412yes—
627C25C2414yes—
628C2×#41—44no—
629C2×#41—44no—
630C2×#41—82no—
631C22×Q8C2412yes—
632C22×Q8C2412yes—
633C22×Q8C2412yes—
634C22×D4—28no—
635C22×D4—28no—
636C22×D4—24no—
637C22×D4—42no—
638C22×D4—44no—
639C22×D4—42no—
640C22×D4—44no—
641C22×D4—48no—
642C22×D4—44no—
643C22×D4—44no—
644C22×D4—48no—
645C22×D4—48no—
646C22×D4—48no—
647C22×D4—48no—
648C22×D4—44no—
649C22×D4—82no—
650C22×D4—82no—
651C22×D4—84no—
652C22×D4C2414yes—
653C22×D4C2414yes—
654C22×D4C2412yes—
655C22×D4C2414yes—
656C22×D4C2411yescharacteristic
657C22×D4C2414yes—
658C22×D4C2412yes—
659C22×D4C2414yes—
660C22×D4C2414yes—
661C22×D4C2412yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2412yes—
668C22×D4C2414yes—
669C22×D4C2412yes—
670C22×D4C2412yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C22×D4C2411yescharacteristic
676C23×C4—28no—
677C23×C4—42no—
678C23×C4—42no—
679C23×C4—44no—
680C23×C4—42no—
681C23×C4—82no—
682C23×C4C2411yescharacteristic
683C23×C4C2412yes—
684C23×C4C2412yes—
685C23×C4C2411yescharacteristic
686C23×C4C2412yes—
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2412yes—
690C23×C4C2411yescharacteristic
691C23×C4C2412yes—
692C23×C4C2412yes—
693C23×C4C2412yes—
694C23×C4C2412yes—
695C23×C4C2412yes—
696C23×C4C2412yes—
697C23×C4C2412yes—
698C23×C4C2412yes—
699C23×C4C2414yes—
700C23×C4C2414yes—
701C23×C4C2414yes—
702C23×C4C2414yes—
703C23×C4C2411yescharacteristic
704#127—48no—
705#126—48no—
706#124—44no—
707#124—44no—
708#124—44no—
709#124—48no—
710#124—84no—
711#124—84no—
712#123—48no—
713#123—48no—
714#123—48no—
715#123—48no—
716#123—48no—
717#123—48no—
718#123—84no—
719C22⋊Q8—28no—
720C22⋊Q8—44no—
721C22⋊Q8—44no—
722C22⋊Q8—44no—
723C22⋊Q8—48no—
724C22⋊Q8—48no—
725C22⋊Q8—44no—
726C22⋊Q8—82no—
727#121—28no—
728#121—28no—
729#121—28no—
730#121—48no—
731#121—44no—
732#121—44no—
733#121—48no—
734#121—48no—
735#121—48no—
736#121—48no—
737#121—48no—
738#121—48no—
739#121—44no—
740#121—44no—
741#121—44no—
742#121—44no—
743#121—48no—
744#121—48no—
745#121—44no—
746#121—44no—
747#121—44no—
748#121—48no—
749#121—48no—
750#121—44no—
751#121—84no—
752#121—82no—
753#120—216no—
754#120—216no—
755#120—48no—
756#120—48no—
757#120—48no—
758#120—48no—
759#120—48no—
760#120—48no—
761#120—48no—
762#120—84no—
763#120—84no—
764#120—84no—
765C4×D4—28no—
766C4×D4—44no—
767C4×D4—44no—
768C4×D4—48no—
769C4×D4—44no—
770C4×D4—44no—
771C4×D4—48no—
772C4×D4—48no—
773C4×D4—48no—
774C4×D4—48no—
775C4×D4—84no—
776C4×D4—84no—
777#117—44no—
778C2×C4⋊C4—42no—
779C2×C4⋊C4—44no—
780C2×C4⋊C4—42no—
781C2×C4⋊C4—42no—
782C2×C4⋊C4—82no—
783C2×C4⋊C4C2412yes—
784C2×C4⋊C4C2412yes—
785C2×C4⋊C4C2412yes—
786C2×C4⋊C4C2412yes—
787C2×C4⋊C4C2412yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2411yescharacteristic
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2412yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2412yes—
796C2×C4⋊C4C2412yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2412yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2412yes—
806C2×C4⋊C4C2412yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2412yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2412yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2412yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2412yes—
817C2×C22⋊C4—24no—
818C2×C22⋊C4—24no—
819C2×C22⋊C4—44no—
820C2×C22⋊C4—48no—
821C2×C22⋊C4—44no—
822C2×C22⋊C4—44no—
823C2×C22⋊C4—44no—
824C2×C22⋊C4—44no—
825C2×C22⋊C4—48no—
826C2×C22⋊C4—82no—
827C2×C22⋊C4—82no—
828C2×C22⋊C4—82no—
829C2×C22⋊C4C2412yes—
830C2×C22⋊C4C2412yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C42—42no—
891C2×C42—42no—
892C2×C42C2412yes—
893C2×C42C2412yes—
894C2×C42C2414yes—
895C2×C42C2414yes—
896C2×C42C2412yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899C2×C42C2414yes—
900C2×C42C2412yes—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
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#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939C24—22no—
940C24—22no—
941C24—24no—
942C24—24no—
943C24—24no—
944C24—24no—
945C24—24no—
946C24—28no—
947C24—41no—
948C24—42no—
949C24—42no—
950C24—41no—
951C24—41no—
952C24—42no—
953C24—41no—
954C24—42no—
955C24—42no—
956C24—44no—
957C24—44no—
958C24—44no—
959C24—44no—
960C24—44no—
961C24—42no—
962C24—42no—
963C24—42no—
964C24—44no—
965C24—42no—
966C24H(5,𝔽2)14yes—
967C24C2514yes—
968C24C2514yes—
969C24C2512yes—
970C24C2512yes—
971C24C2512yes—
972C24C2511yescharacteristic
973#41—816no—
974C2×Q8—24no—
975C2×Q8—42no—
976C2×Q8—42no—
977C2×Q8—42no—
978C2×Q8—42no—
979C2×Q8—42no—
980C2×Q8—42no—
981C2×Q8—42no—
982C2×Q8—42no—
983C2×D4—24no—
984C2×D4—28no—
985C2×D4—28no—
986C2×D4—28no—
987C2×D4—28no—
988C2×D4—28no—
989C2×D4—28no—
990C2×D4—28no—
991C2×D4—28no—
992C2×D4—28no—
993C2×D4—28no—
994C2×D4—28no—
995C2×D4—28no—
996C2×D4—28no—
997C2×D4—28no—
998C2×D4—22no—
999C2×D4—24no—
1000C2×D4—24no—
1001C2×D4—24no—
1002C2×D4—42no—
1003C2×D4—41no—
1004C2×D4—41no—
1005C2×D4—41no—
1006C2×D4—42no—
1007C2×D4—41no—
1008C2×D4—44no—
1009C2×D4—42no—
1010C2×D4—416no—
1011C2×D4—44no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—42no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
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—42no—
1044C2×D4—42no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
1052C2×D4—44no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—816no—
1056C2×D4—816no—
1057C2×D4—816no—
1058C2×D4—832no—
1059C2×D4—832no—
1060C2×D4H(5,𝔽2)14yes—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—24no—
1065C22×C4—24no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—24no—
1070C22×C4—24no—
1071C22×C4—24no—
1072C22×C4—24no—
1073C22×C4—22no—
1074C22×C4—24no—
1075C22×C4—24no—
1076C22×C4—24no—
1077C22×C4—24no—
1078C22×C4—24no—
1079C22×C4—24no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—42no—
1083C22×C4—42no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—42no—
1089C22×C4—44no—
1090C22×C4—42no—
1091C22×C4—44no—
1092C22×C4—42no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—41no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—44no—
1102C22×C4—44no—
1103C22×C4—44no—
1104C22×C4—44no—
1105C22×C4—44no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—44no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—42no—
1114C22×C4—41no—
1115C22×C4—44no—
1116C22×C4—42no—
1117C22×C4—44no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—44no—
1123C22×C4—42no—
1124C22×C4—44no—
1125C22×C4—42no—
1126C22×C4—88no—
1127C22×C4—816no—
1128C22×C4H(5,𝔽2)14yes—
1129C22×C4C2512yes—
1130C22×C4C2514yes—
1131C22×C4C2514yes—
1132C22×C4C2514yes—
1133C22×C4C2514yes—
1134C22×C4C2512yes—
1135C22×C4C2512yes—
1136C22×C4C2512yes—
1137C22×C4C2514yes—
1138C22×C4C2512yes—
1139C22×C4C2514yes—
1140C22×C4C2514yes—
1141C22×C4C2514yes—
1142C22×C4C2512yes—
1143C22×C4C2511yescharacteristic
1144C22×C4C2512yes—
1145C22×C4C2511yescharacteristic
1146C4⋊C4—24no—
1147C4⋊C4—24no—
1148C4⋊C4—24no—
1149C4⋊C4—24no—
1150C4⋊C4—24no—
1151C4⋊C4—28no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—42no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—42no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—42no—
1167C4⋊C4—44no—
1168C4⋊C4—42no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—42no—
1172C4⋊C4—44no—
1173C4⋊C4—42no—
1174C4⋊C4—42no—
1175C4⋊C4—42no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C22⋊C4—28no—
1181C22⋊C4—24no—
1182C22⋊C4—24no—
1183C22⋊C4—28no—
1184C22⋊C4—28no—
1185C22⋊C4—28no—
1186C22⋊C4—28no—
1187C22⋊C4—28no—
1188C22⋊C4—28no—
1189C22⋊C4—28no—
1190C22⋊C4—28no—
1191C22⋊C4—28no—
1192C22⋊C4—28no—
1193C22⋊C4—28no—
1194C22⋊C4—28no—
1195C22⋊C4—28no—
1196C22⋊C4—44no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
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—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
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—
1241C42—24no—
1242C42—24no—
1243C42—42no—
1244C42—42no—
1245C42—44no—
1246C42—44no—
1247C42—44no—
1248C42—44no—
1249C42—44no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—22no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—28no—
1267C23—24no—
1268C23—24no—
1269C23—24no—
1270C23—24no—
1271C23—22no—
1272C23—24no—
1273C23—22no—
1274C23—24no—
1275C23—22no—
1276C23—24no—
1277C23—24no—
1278C23—24no—
1279C23—24no—
1280C23—22no—
1281C23—22no—
1282C23—22no—
1283C23—22no—
1284C23—24no—
1285C23—24no—
1286C23—24no—
1287C23—24no—
1288C23—44no—
1289C23—44no—
1290C23—48no—
1291C23—48no—
1292C23—48no—
1293C23—48no—
1294C23—48no—
1295C23—82no—
1296C23—82no—
1297C23—84no—
1298C23—82no—
1299C23—84no—
1300C23—82no—
1301C23—84no—
1302C23—84no—
1303C23—88no—
1304C23—88no—
1305C23—88no—
1306C23—84no—
1307C23—88no—
1308C23—88no—
1309C23—162no—
1310C23—162no—
1311C23—164no—
1312C23—162no—
1313C23—164no—
1314C23—162no—
1315C23C2×H(5,𝔽2)14yes—
1316C23C2×H(5,𝔽2)14yes—
1317C23C2×H(5,𝔽2)12yes—
1318C23C2×H(5,𝔽2)12yes—
1319C23#58512yes—
1320C23C2611yescharacteristic
1321Q8—84no—
1322Q8—162no—
1323Q8—162no—
1324D4—44no—
1325D4—48no—
1326D4—44no—
1327D4—48no—
1328D4—416no—
1329D4—416no—
1330D4—416no—
1331D4—84no—
1332D4—88no—
1333D4—88no—
1334D4—88no—
1335D4—88no—
1336D4—88no—
1337D4—88no—
1338D4—88no—
1339D4—88no—
1340D4—88no—
1341D4—88no—
1342D4—88no—
1343D4—88no—
1344D4—162no—
1345D4—162no—
1346D4—164no—
1347D4—162no—
1348C2×C4—28no—
1349C2×C4—22no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—24no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—24no—
1360C2×C4—24no—
1361C2×C4—24no—
1362C2×C4—24no—
1363C2×C4—24no—
1364C2×C4—22no—
1365C2×C4—24no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—24no—
1369C2×C4—24no—
1370C2×C4—22no—
1371C2×C4—24no—
1372C2×C4—24no—
1373C2×C4—24no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—24no—
1379C2×C4—24no—
1380C2×C4—24no—
1381C2×C4—24no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—24no—
1385C2×C4—24no—
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—22no—
1395C2×C4—22no—
1396C2×C4—24no—
1397C2×C4—44no—
1398C2×C4—48no—
1399C2×C4—48no—
1400C2×C4—84no—
1401C2×C4—84no—
1402C2×C4—84no—
1403C2×C4—84no—
1404C2×C4—84no—
1405C2×C4—82no—
1406C2×C4—82no—
1407C2×C4—82no—
1408C2×C4—82no—
1409C2×C4—84no—
1410C2×C4—84no—
1411C2×C4—84no—
1412C2×C4—88no—
1413C2×C4—88no—
1414C2×C4—88no—
1415C2×C4—164no—
1416C2×C4—162no—
1417C2×C4—162no—
1418C2×C4C2×H(5,𝔽2)12yes—
1419C2×C4C2×H(5,𝔽2)14yes—
1420C2×C4#58512yes—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—24no—
1428C22—24no—
1429C22—24no—
1430C22—24no—
1431C22—24no—
1432C22—24no—
1433C22—42no—
1434C22—42no—
1435C22—42no—
1436C22—42no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—44no—
1442C22—44no—
1443C22—42no—
1444C22—42no—
1445C22—44no—
1446C22—44no—
1447C22—44no—
1448C22—44no—
1449C22—42no—
1450C22—42no—
1451C22—44no—
1452C22—44no—
1453C22—44no—
1454C22—42no—
1455C22—44no—
1456C22—44no—
1457C22—42no—
1458C22—44no—
1459C22—42no—
1460C22—44no—
1461C22—44no—
1462C22—88no—
1463C22—816no—
1464C22—168no—
1465C22—1616no—
1466C22#355814yes—
1467C22C22×H(5,𝔽2)11yescharacteristic
1468C22C22×H(5,𝔽2)11yescharacteristic
1469C22C22×H(5,𝔽2)11yescharacteristic
1470C22C2×#58511yescharacteristic
1471C22C2×#58511yescharacteristic
1472C22H(7,𝔽2)11yescharacteristic
1473C22H(7,𝔽2)11yescharacteristic
1474C4—22no—
1475C4—22no—
1476C4—24no—
1477C4—44no—
1478C4—44no—
1479C4—42no—
1480C4—44no—
1481C4—42no—
1482C4—42no—
1483C4—44no—
1484C4—42no—
1485C4—44no—
1486C4—44no—
1487C4—42no—
1488C4—44no—
1489C4—42no—
1490C4—44no—
1491C2—24no—
1492C2—44no—
1493C2—44no—
1494C2—82no—
1495C2—84no—
1496C2—84no—
1497C2C2×#355811yescharacteristic
1498C2#6282011yescharacteristic
1499C2#6287011yescharacteristic
1500C2#6289211yescharacteristic
1501C2#6289211yescharacteristic
1502C2#6290511yescharacteristic
1503C2#6293011yescharacteristic
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. #55008C2semidirect
2. #54957C2semidirect
3. #54953C2semidirect
4. #54815C2semidirect
5. #48506C2semidirect
6. #48423C2semidirect
7. #48100C2semidirect
8. #47826C2semidirect
9. #46089C2semidirect
10. #45988C2semidirect
11. #42998C2semidirect
12. #40762C2semidirect
13. #39805C2semidirect
14. #37891C2semidirect
15. #37752C2semidirect
16. #37672C2semidirect
17. #37672C2semidirect
18. #37446C2semidirect
19. #36730C2semidirect
20. #36096C2semidirect
21. #35003C2semidirect
22. #34993C2semidirect
23. C2×#2420C2semidirect
24. C2×#546C22semidirect
25. C2×D42C22semidirect
26. C2×#543C22semidirect
27. C2×#538C22semidirect
29. C2×#534C22semidirect
30. C2×#525C22semidirect
32. C22×#121C22semidirect
33. C22×C4×D4C22semidirect
34. #2850C22semidirect
35. #2850C22semidirect
36. #2850C22semidirect
37. #2848C22semidirect
39. #2847C22semidirect
40. #2845C22semidirect
41. #2828C22semidirect
42. #2828C22semidirect
43. #2827C22semidirect
44. #2819C22semidirect
45. #2816C22semidirect
46. #2815C22semidirect
47. #2807C22semidirect
48. #2804C22semidirect
49. #2803C22semidirect
50. #2797C22semidirect
51. #2797C22semidirect
52. #2781C22semidirect
53. #2781C22semidirect
54. #2778C22semidirect
55. #2778C22semidirect
56. #2773C22semidirect
57. #2770C22semidirect
58. #2756C22semidirect
59. #2754C22semidirect
60. #2754C22semidirect
61. #2753C22semidirect
62. #2753C22semidirect
63. #2746C22semidirect
64. #2745C22semidirect
65. #2741C22semidirect
66. #2738C22semidirect
67. #2737C22semidirect
68. #2736C22semidirect
69. #2733C22semidirect
70. #2733C22semidirect
71. #2728C22semidirect
72. #2710C22semidirect
73. #2710C22semidirect
74. #2708C22semidirect
75. #2706C22semidirect
76. #2706C22semidirect
77. #2703C22semidirect
78. #2701C22semidirect
79. #2701C22semidirect
80. #2700C22semidirect
81. #2696C22semidirect
82. #2691C22semidirect
83. #2688C22semidirect
84. #2687C22semidirect
85. #2686C22semidirect
86. #2685C22semidirect
87. #2684C22semidirect
88. #2681C22semidirect
89. #2679C22semidirect
90. #2678C22semidirect
91. #2676C22semidirect
92. #2673C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
95. #2671C22semidirect
96. #2671C22semidirect
97. #2671C22semidirect
98. #2670C22semidirect
99. #2670C22semidirect
100. #2670C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
104. #2668C22semidirect
105. #2659C22semidirect
107. #2656C22semidirect
108. #2656C22semidirect
109. #2653C22semidirect
110. #2651C22semidirect
111. #2646C22semidirect
112. #2639C22semidirect
113. #2639C22semidirect
114. #2639C22semidirect
115. #2635C22semidirect
116. #2635C22semidirect
117. #2631C22semidirect
118. #2623C22semidirect
119. #2622C22semidirect
120. #2617C22semidirect
121. #2617C22semidirect
122. #2617C22semidirect
123. #2613C22semidirect
124. #2602C22semidirect
125. #2597C22semidirect
126. #2596C22semidirect
127. #2591C22semidirect
128. #2589C22semidirect
129. #2559C22semidirect
130. #2555C22semidirect
131. #2553C22semidirect
132. #2544C22semidirect
133. #2543C22semidirect
134. #2543C22semidirect
135. #2543C22semidirect
136. #2543C22semidirect
137. #2540C22semidirect
138. #2535C22semidirect
139. #2521C22semidirect
140. #2510C22semidirect
141. #2510C22semidirect
142. #2488C22semidirect
143. #2488C22semidirect
144. #2482C22semidirect
145. #2477C22semidirect
146. #2472C22semidirect
147. #2472C22semidirect
148. #2472C22semidirect
149. #2472C22semidirect
150. #2468C22semidirect
151. #2464C22semidirect
152. #2464C22semidirect
153. #2464C22semidirect
154. #2463C22semidirect
155. #2459C22semidirect
156. #2456C22semidirect
157. #2455C22semidirect
158. #2450C22semidirect
159. #2450C22semidirect
160. #2443C22semidirect
161. #2443C22semidirect
162. #2443C22semidirect
163. #2443C22semidirect
164. #2427C22semidirect
165. #2424C22semidirect
166. #2424C22semidirect
167. #2420C22semidirect
168. #2420C22semidirect
169. #2420C22semidirect
170. #2420C22semidirect
171. #2418C22semidirect
172. #2418C22semidirect
173. #2418C22semidirect
174. #2418C22semidirect
175. #2418C22semidirect
176. #2417C22semidirect
177. #2414C22semidirect
178. #2410C22semidirect
179. #2410C22semidirect
180. #2410C22semidirect
181. #2410C22semidirect
182. #2410C22semidirect
183. #2410C22semidirect
184. #2410C22semidirect
185. #2408C22semidirect
186. #2408C22semidirect
187. #2407C22semidirect
188. #2407C22semidirect
189. #2405C22semidirect
190. #2404C22semidirect
191. #2403C22semidirect
192. #2403C22semidirect
193. C2×#397C22semidirect
194. C2×#394C22semidirect
195. #2379C22semidirect
196. #2379C22semidirect
197. #2375C22semidirect
198. #2361C22semidirect
199. #2358C22semidirect
200. #2358C22semidirect
201. #2352C22semidirect
202. D4×C22⋊C4C22semidirect
203. #2329C22semidirect
204. #2325C22semidirect
205. #2325C22semidirect
206. #2325C22semidirect
207. #2325C22semidirect
208. #2312C22semidirect
209. #2308C22semidirect
210. C4×#121C22semidirect
211. C2×#390C22semidirect
212. C2×#389C22semidirect
213. C2×#386C22semidirect
214. C2×#386C22semidirect
215. C2×#382C22semidirect
216. C2×#381C22semidirect
217. C2×#380C22semidirect
218. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#550082
#549572
#549532
#548152
#485062
#484232
#481002
#478262
#460892
#459882
#429982
#407622
#398052
#378912
#377522
#376722
#374462
#367302
#360962
#350032
#349932
C2×#24202