Finite Group Databasebeta

← #7655923

Subgroups — #7655923

Order 512.

5114 conjugacy classes of subgroups.

The subgroup lattice has 1438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41717C214yesmaximal, complemented
2#41614C214yesmaximal, complemented
3#41436C212yesmaximal, complemented
4#41086C214yesmaximal, complemented
5#40941C214yesmaximal, complemented
6#40656C212yesmaximal, complemented
7#40582C214yesmaximal, complemented
8#39428C214yesmaximal, complemented
9#39344C212yesmaximal, complemented
10#39141C212yesmaximal, complemented
11#38246C214yesmaximal, complemented
12#37478C211yesmaximal, characteristic, complemented
13#37465C212yesmaximal, complemented
14#37463C212yesmaximal, complemented
15#37446C211yesmaximal, characteristic, complemented
16#36607C212yesmaximal, complemented
17#36359C212yesmaximal, complemented
18#36063C212yesmaximal, complemented
19#35944C212yesmaximal, complemented
20#35827C214yesmaximal, complemented
21#35003C212yesmaximal, complemented
22#35000C211yesmaximal, characteristic, complemented
23#34570C212yesmaximal, complemented
24#34562C211yesmaximal, characteristic, complemented
25#34246C211yesmaximal, characteristic, complemented
26#34233C211yesmaximal, characteristic, complemented
27C2×#2353C211yesmaximal, characteristic, complemented
28C2×#538C2214yescomplemented
29C2×#534C2212yes—
30C2×#525C2211yescharacteristic
31C22×#121C2211yescharacteristic
32C22×C4×D4C2211yescharacteristic
33#2854C2212yes—
34#2850C2214yescomplemented
35#2847C2212yes—
36#2847C2214yescomplemented
37#2841C2214yescomplemented
38#2838C2214yescomplemented
39#2836C2214yescomplemented
40#2831C2214yescomplemented
41#2829C2214yescomplemented
42#2816C2212yescomplemented
43#2815C2212yescomplemented
44#2797C2214yescomplemented
45#2796C2214yescomplemented
46#2778C2214yescomplemented
47#2776C2214yescomplemented
48#2770C2214yescomplemented
49#2757C2214yescomplemented
50#2749C2214yescomplemented
51#2746C2214yescomplemented
52#2745C2214yescomplemented
53#2735C2214yescomplemented
54#2728C2214yescomplemented
55#2722C2214yescomplemented
56#2717C2214yescomplemented
57#2708C2214yescomplemented
58#2697C2214yescomplemented
59#2695C2214yes—
60#2693C2214yes—
61#2691C2214yescomplemented
62#2688C2214yescomplemented
63#2684C2214yes—
64#2676C2214yescomplemented
65#2672C2214yescomplemented
66#2671C2214yescomplemented
67#2668C2214yes—
68#2667C2214yescomplemented
69#2667C2212yescomplemented
70#2666C2214yescomplemented
71#2665C2212yescomplemented
72#2659C2212yescomplemented
73#2656C2212yes—
74#2655C2214yescomplemented
75#2654C2214yescomplemented
76#2653C2214yescomplemented
77#2652C2214yescomplemented
78#2651C2214yescomplemented
79#2649C2214yescomplemented
80#2648C2214yescomplemented
81#2648C2214yescomplemented
82#2646C2212yescomplemented
83#2643C2214yescomplemented
84#2639C2212yes—
85#2638C2212yescomplemented
86#2638C2214yescomplemented
87#2635C2212yescomplemented
88#2635C2214yescomplemented
89#2630C2214yes—
90#2630C2214yescomplemented
91#2627C2211yescharacteristic, complemented
92#2627C2214yescomplemented
93#2626C2211yescharacteristic, complemented
94#2623C2212yescomplemented
95#2622C2212yes—
96#2622C2214yescomplemented
97#2618C2212yes—
98#2618C2211yescharacteristic, complemented
99#2617C2212yes—
100#2617C2211yescharacteristic, complemented
101#2613C2212yes—
102#2613C2212yescomplemented
103#2612C2214yescomplemented
104#2610C2214yescomplemented
105#2598C2214yescomplemented
106#2578C2214yescomplemented
107#2576C2214yescomplemented
108#2569C2212yescomplemented
109#2569C2214yescomplemented
110#2559C2214yescomplemented
111#2557C2214yes—
112#2555C2214yescomplemented
113#2555C2214yescomplemented
114#2553C2214yes—
115#2553C2214yescomplemented
116#2553C2214yescomplemented
117#2553C2214yescomplemented
118#2549C2212yescomplemented
119#2543C2212yes—
120#2543C2212yes—
121#2543C2214yes—
122#2543C2214yescomplemented
123#2535C2214yescomplemented
124#2534C2214yes—
125#2534C2212yes—
126#2534C2212yes—
127#2532C2214yescomplemented
128#2531C2214yescomplemented
129#2531C2214yescomplemented
130#2529C2214yescomplemented
131#2526C2214yescomplemented
132#2526C2214yescomplemented
133#2525C2214yescomplemented
134#2522C2214yescomplemented
135#2521C2214yescomplemented
136#2521C2214yescomplemented
137#2521C2214yescomplemented
138#2515C2214yescomplemented
139#2515C2214yescomplemented
140#2515C2214yescomplemented
141#2510C2214yescomplemented
142#2510C2214yescomplemented
143#2510C2214yescomplemented
144#2510C2214yescomplemented
145#2488C2214yescomplemented
146#2486C2212yes—
147#2482C2212yescomplemented
148#2482C2214yescomplemented
149#2472C2214yescomplemented
150#2465C2214yescomplemented
151#2464C2214yescomplemented
152#2464C2214yescomplemented
153#2464C2214yescomplemented
154#2461C2214yescomplemented
155#2457C2214yescomplemented
156#2449C2214yescomplemented
157#2444C2214yescomplemented
158#2444C2214yescomplemented
159#2444C2214yescomplemented
160#2443C2214yescomplemented
161#2438C2214yescomplemented
162#2437C2214yes—
163#2427C2214yescomplemented
164#2427C2214yescomplemented
165#2425C2214yescomplemented
166#2425C2214yescomplemented
167#2425C2214yescomplemented
168#2424C2214yes—
169#2419C2214yescomplemented
170#2416C2214yes—
171#2410C2214yes—
172#2408C2212yes—
173#2404C2212yescomplemented
174#2401C2214yescomplemented
175#2398C2214yescomplemented
176#2395C2212yes—
177#2395C2214yescomplemented
178#2392C2214yescomplemented
179#2392C2214yescomplemented
180#2388C2212yes—
181#2372C2214yescomplemented
182#2364C2212yes—
183#2364C2212yes—
184#2364C2214yescomplemented
185#2363C2212yescomplemented
186#2363C2212yescomplemented
187#2361C2212yescomplemented
188#2360C2212yescomplemented
189#2358C2214yes—
190#2353C2212yes—
191#2353C2214yes—
192#2353C2212yes—
193#2353C2212yescomplemented
194#2353C2214yescomplemented
195#2353C2212yescomplemented
196#2353C2212yescomplemented
197#2353C2214yescomplemented
198#2349C2212yescomplemented
199#2347C2211yescharacteristic, complemented
200#2346C2214yescomplemented
201#2346C2211yescharacteristic, complemented
202#2345C2212yescomplemented
203#2341C2211yescharacteristic, complemented
204#2339C2211yescharacteristic, complemented
205D4×C22⋊C4C2214yes—
206D4×C22⋊C4C2212yescomplemented
207#2335C2214yescomplemented
208#2333C2214yescomplemented
209#2325C2214yescomplemented
210#2318C2212yescomplemented
211#2312C2212yescomplemented
212#2308C2212yes—
213C4×C22⋊Q8C2212yescomplemented
214C4×#123C2212yescomplemented
215C4×#121C2212yes—
216C4×#121C2212yes—
217C4×#121C2212yescomplemented
218C4×#120C2212yescomplemented
219C4×#120C2214yescomplemented
220#2290C2214yescomplemented
221C2×#388C2212yes—
222C2×#387C2212yescomplemented
223C2×#386C2212yes—
224C2×#383C2211yescharacteristic, complemented
225#2280C2211yescharacteristic
226C2×#381C2211yescharacteristic
227C2×#380C2211yescharacteristic
228C2×#380C2211yescharacteristic, complemented
229#2275C2212yescomplemented
230#2273C2212yescomplemented
231C2×C4×C22⋊C4C2211yescharacteristic
232C2×C4×C22⋊C4C2212yescomplemented
233C2×#376C2211yescharacteristic, complemented
234C22×#95C2211yescharacteristic, complemented
235C22×#41C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2312yes—
238C23×D4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2312yes—
241C24×C4C2311yescharacteristic
242#538—416no—
243#534—48no—
244C2×#126C2314yes—
245C2×#126C2314yes—
246C2×#124C2314yes—
247C2×#124C2314yes—
248C2×#124C2314yes—
249#525—28no—
250C2×#123C2312yes—
251C2×#123C2314yes—
252C2×#123C2312yes—
253C2×#123C2314yes—
254C2×#123C2312yes—
255C2×#123C2312yes—
256C2×#123C2314yes—
257C2×#123C2314yes—
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2314yes—
261C2×C22⋊Q8C2314yes—
262C2×C22⋊Q8C2314yes—
263C2×#121—28no—
264C2×#121C2312yes—
265C2×#121C2312yes—
266C2×#121C2311yescharacteristic
267C2×#121C2312yes—
268C2×#121C2311yescharacteristic
269C2×#121C2312yes—
270C2×#121C2314yes—
271C2×#121C2314yes—
272C2×#121C2314yes—
273C2×#121C2314yes—
274C2×#121C2314yes—
275C2×#121C2314yes—
276C2×#121C2314yes—
277C2×#121C2314yes—
278C2×#121C2314yes—
279C2×#120C2314yes—
280C2×#120C2312yes—
281C2×#120C2312yes—
282C2×#120C2312yes—
283C2×#120C2312yes—
284C2×#120C2314yes—
285C2×C4×Q8C2312yes—
286C2×C4×D4—28no—
287C2×C4×D4C2312yes—
288C2×C4×D4C2312yes—
289C2×C4×D4C2312yes—
290C2×C4×D4C2312yes—
291C2×C4×D4C2312yes—
292C2×C4×D4C2312yes—
293C2×C4×D4C2314yes—
294C2×C4×D4C2314yes—
295C2×C4×D4C2314yes—
296C2×C4×D4C2314yes—
297C2×C4×D4C2314yes—
298C2×C4×D4C2312yes—
299C2×C4×D4C2312yes—
300C2×C4×D4C2312yes—
301C2×C4×D4C2314yes—
302C2×C4×D4C2314yes—
303C2×#117C2311yescharacteristic
304C2×#117C2314yes—
305C2×#117C2312yes—
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2312yes—
309C22×C4⋊C4C2312yes—
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2312yes—
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2312yes—
314C22×C22⋊C4C2312yes—
315C22×C22⋊C4C2312yes—
316C22×C22⋊C4C2314yes—
317C22×C22⋊C4C2312yes—
318C22×C42C2311yescharacteristic
319C22×C42C2312yes—
320C22×C42C2312yes—
321#401C2314yes—
322#401C2314yes—
323#400C2314yes—
324#400C2314yes—
325#400C2314yes—
326#400C2314yes—
327#400C2314yes—
328#400C2314yes—
329#400C2314yes—
330#400C2312yes—
331#400C2314yes—
332#400C2314yes—
333#400C2314yes—
334#400C2314yes—
335#400C2314yes—
336#399C2314yes—
337#399C2314yes—
338#399C2314yes—
339#399C2314yes—
340#399C2314yes—
341#399C2312yes—
342#398C2312yes—
343#398C2312yes—
344#398C2314yes—
345#398C2314yes—
346#398C2314yes—
347#398C2314yes—
348#398C2314yes—
349#398C2314yes—
350#398C2314yes—
351#398C2314yes—
352#398C2314yes—
353#398C2314yes—
354#398C2314yes—
355#398C2312yes—
356#398C2314yes—
357#398C2314yes—
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#397C2312yes—
373#397C2314yes—
374#397C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2312yes—
379#397C2312yes—
380#397C2314yes—
381#397C2314yes—
382#396C2314yes—
383#396C2314yes—
384#396C2314yes—
385#396C2314yes—
386#396C2314yes—
387#396C2314yes—
388#396C2314yes—
389#396C2314yes—
390#396C2314yes—
391#396C2314yes—
392#395C2312yes—
393#395C2314yes—
394#395C2314yes—
395#395C2314yes—
396#395C2314yes—
397#394C2314yes—
398#394C2312yes—
399#394C2312yes—
400#394C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2312yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#393C2314yes—
420#393C2314yes—
421#393C2314yes—
422#393C2312yes—
423#392C2314yes—
424#392C2314yes—
425#392C2312yes—
426#392C2314yes—
427#392C2314yes—
428#392C2312yes—
429#392C2314yes—
430#392C2312yes—
431#392C2314yes—
432#392C2314yes—
433#391C2312yes—
434#391C2314yes—
435#391C2314yes—
436#391C2314yes—
437#390C2312yes—
438#390C2314yes—
439#390C2314yes—
440#390C2314yes—
441#390C2312yes—
442#390C2314yes—
443#390C2312yes—
444#390C2314yes—
445#389C2312yes—
446#389C2312yes—
447#389C2314yes—
448#389C2314yes—
449#389C2312yes—
450#389C2314yes—
451#389C2312yes—
452#389C2314yes—
453#389C2314yes—
454#389C2314yes—
455#388C2314yes—
456#388C2314yes—
457#388C2314yes—
458#388C2314yes—
459#388C2314yes—
460#388C2314yes—
461#388C2314yes—
462#388C2314yes—
463#388C2314yes—
464#388C2314yes—
465#388C2314yes—
466#388C2314yes—
467#388C2314yes—
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#387C2314yes—
489#387C2314yes—
490#387C2314yes—
491#387C2314yes—
492#387C2314yes—
493#387C2314yes—
494#387C2314yes—
495#387C2314yes—
496#387C2314yes—
497#387C2314yes—
498#387C2314yes—
499#387C2314yes—
500#387C2314yes—
501#387C2314yes—
502#387C2314yes—
503#387C2314yes—
504#387C2314yes—
505#387C2314yes—
506#387C2314yes—
507#387C2314yes—
508#387C2314yes—
509#386C2314yes—
510#386C2314yes—
511#386C2314yes—
512#386C2314yes—
513#386C2314yes—
514#386C2314yes—
515#386C2314yes—
516#386C2314yes—
517#386C2312yes—
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#386C2312yes—
539#386C2314yes—
540#386C2314yes—
541#386C2314yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yes—
545#386C2314yes—
546#386C2314yes—
547#385C2314yes—
548#385C2314yes—
549#385C2314yes—
550#385C2314yes—
551#385C2314yes—
552#385C2314yes—
553#385C2314yes—
554#385C2314yes—
555#385C2314yes—
556#385C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2312yes—
560#385C2312yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#383C2312yes—
566#383C2312yes—
567#383C2314yes—
568#383C2314yes—
569#383C2312yes—
570#382C2312yes—
571#382C2314yes—
572#382C2314yes—
573#381C2312yes—
574#381C2312yes—
575#381C2312yes—
576#381C2312yes—
577#381C2314yes—
578#381C2312yes—
579#381C2312yes—
580#381C2312yes—
581#381C2312yes—
582#381C2312yes—
583#381C2314yes—
584#380C2314yes—
585#380C2314yes—
586#380C2312yes—
587#380C2314yes—
588#380C2314yes—
589#380C2314yes—
590#380C2312yes—
591#380C2312yes—
592#380C2312yes—
593#380C2311yescharacteristic
594#380C2311yescharacteristic
595#380C2314yes—
596#380C2314yes—
597#380C2312yes—
598#380C2312yes—
599#380C2312yes—
600#380C2311yescharacteristic
601#380C2311yescharacteristic
602#380C2314yes—
603#380C2314yes—
604#379C2312yes—
605#379C2312yes—
606#379C2314yes—
607#379C2312yes—
608#379C2312yes—
609#379C2314yes—
610C4×C4⋊C4C2314yes—
611C4×C4⋊C4C2312yes—
612C4×C4⋊C4C2312yes—
613C4×C4⋊C4C2312yes—
614C4×C4⋊C4C2314yes—
615C4×C4⋊C4C2314yes—
616C4×C4⋊C4C2312yes—
617C4×C4⋊C4C2312yes—
618C4×C22⋊C4C2311yescharacteristic
619C4×C22⋊C4C2312yes—
620C4×C22⋊C4C2312yes—
621C4×C22⋊C4C2314yes—
622C4×C22⋊C4C2311yescharacteristic
623C4×C22⋊C4C2314yes—
624C4×C22⋊C4C2314yes—
625C4×C22⋊C4C2314yes—
626C4×C22⋊C4C2314yes—
627C4×C22⋊C4C2312yes—
628C4×C22⋊C4C2314yes—
629C4×C22⋊C4C2314yes—
630C4×C22⋊C4C2312yes—
631C4×C22⋊C4C2314yes—
632C4×C22⋊C4C2314yes—
633C4×C22⋊C4C2311yescharacteristic
634C4×C22⋊C4C2312yes—
635C4×C22⋊C4C2314yes—
636C4×C22⋊C4C2314yes—
637C4×C22⋊C4C2314yes—
638C4×C22⋊C4C2314yes—
639C4×C22⋊C4C2314yes—
640C4×C22⋊C4C2311yescharacteristic
641C4×C22⋊C4C2314yes—
642C4×C22⋊C4C2314yes—
643C4×C22⋊C4C2314yes—
644#376C2312yes—
645#376C2312yes—
646#376C2314yes—
647#376C2312yes—
648#376C2314yes—
649C2×#95C2311yescharacteristic
650C2×#95C2314yes—
651C2×#95C2312yes—
652C2×#95C2312yes—
653C2×#95C2312yes—
654C2×#95C2311yescharacteristic
655C2×#95C2312yes—
656C2×#95C2312yes—
657C2×#95C2311yescharacteristic
658C2×#95C2312yes—
659C2×#95C2312yes—
660C2×#95C2312yes—
661C2×#95C2312yes—
662C2×#95C2311yescharacteristic
663C25C2411yescharacteristic
664C25C2411yescharacteristic
665C25C2412yes—
666C2×#41—24no—
667C2×#41—82no—
668C22×Q8C2411yescharacteristic
669C22×Q8C2414yes—
670C22×D4—24no—
671C22×D4—24no—
672C22×D4—28no—
673C22×D4—24no—
674C22×D4—42no—
675C22×D4—44no—
676C22×D4—44no—
677C22×D4—82no—
678C22×D4C2412yes—
679C22×D4C2414yes—
680C22×D4C2412yes—
681C22×D4C2412yes—
682C22×D4C2412yes—
683C22×D4C2412yes—
684C22×D4C2411yescharacteristic
685C22×D4C2414yes—
686C22×D4C2414yes—
687C22×D4C2414yes—
688C22×D4C2412yes—
689C22×D4C2414yes—
690C22×D4C2412yes—
691C22×D4C2414yes—
692C22×D4C2414yes—
693C23×C4—24no—
694C23×C4—44no—
695C23×C4—44no—
696C23×C4—82no—
697C23×C4—82no—
698C23×C4—82no—
699C23×C4#4118yes—
700C23×C4C2411yescharacteristic
701C23×C4C2412yes—
702C23×C4C2412yes—
703C23×C4C2412yes—
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2412yes—
707C23×C4C2414yes—
708C23×C4C2412yes—
709C23×C4C2412yes—
710C23×C4C2412yes—
711C23×C4C2412yes—
712C23×C4C2414yes—
713C23×C4C2414yes—
714C23×C4C2414yes—
715C23×C4C2414yes—
716C23×C4C2414yes—
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723#126—48no—
724#126—48no—
725#124—48no—
726#124—48no—
727#124—48no—
728#123—28no—
729#123—44no—
730#123—44no—
731#123—48no—
732#123—48no—
733#123—44no—
734#123—48no—
735#123—84no—
736C22⋊Q8—24no—
737C22⋊Q8—24no—
738C22⋊Q8—48no—
739C22⋊Q8—84no—
740C22⋊Q8—84no—
741#121—28no—
742#121—28no—
743#121—28no—
744#121—28no—
745#121—24no—
746#121—24no—
747#121—48no—
748#121—48no—
749#121—48no—
750#121—48no—
751#121—48no—
752#121—48no—
753#121—48no—
754#121—84no—
755#121—84no—
756#120—28no—
757#120—216no—
758#120—28no—
759#120—44no—
760#120—44no—
761#120—84no—
762C4×Q8—82no—
763C4×D4—28no—
764C4×D4—28no—
765C4×D4—28no—
766C4×D4—28no—
767C4×D4—28no—
768C4×D4—28no—
769C4×D4—48no—
770C4×D4—48no—
771C4×D4—48no—
772C4×D4—48no—
773C4×D4—48no—
774C4×D4—82no—
775C4×D4—82no—
776C4×D4—82no—
777C4×D4—84no—
778C4×D4—84no—
779#117—24no—
780#117—48no—
781#117—82no—
782C2×C4⋊C4—24no—
783C2×C4⋊C4—24no—
784C2×C4⋊C4—82no—
785C2×C4⋊C4—82no—
786C2×C4⋊C4C2412yes—
787C2×C4⋊C4C2412yes—
788C2×C4⋊C4C2412yes—
789C2×C4⋊C4C2412yes—
790C2×C4⋊C4C2411yescharacteristic
791C2×C4⋊C4C2411yescharacteristic
792C2×C4⋊C4C2412yes—
793C2×C4⋊C4C2412yes—
794C2×C4⋊C4C2412yes—
795C2×C4⋊C4C2412yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2412yes—
800C2×C4⋊C4C2412yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C22⋊C4—24no—
823C2×C22⋊C4—28no—
824C2×C22⋊C4—24no—
825C2×C22⋊C4—28no—
826C2×C22⋊C4—44no—
827C2×C22⋊C4—48no—
828C2×C22⋊C4—44no—
829C2×C22⋊C4—82no—
830C2×C22⋊C4C2412yes—
831C2×C22⋊C4C2412yes—
832C2×C22⋊C4C2412yes—
833C2×C22⋊C4C2412yes—
834C2×C22⋊C4C2412yes—
835C2×C22⋊C4C2412yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2412yes—
843C2×C22⋊C4C2412yes—
844C2×C22⋊C4C2412yes—
845C2×C22⋊C4C2412yes—
846C2×C22⋊C4C2412yes—
847C2×C22⋊C4C2412yes—
848C2×C22⋊C4C2412yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2412yes—
854C2×C22⋊C4C2412yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2412yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2412yes—
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×C42—24no—
888C2×C42—44no—
889C2×C42—82no—
890C2×C42C2412yes—
891C2×C42C2414yes—
892C2×C42C2414yes—
893C2×C42C2412yes—
894C2×C42C2412yes—
895C2×C42C2414yes—
896C2×C42C2414yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899C2×C42C2414yes—
900C2×C42C2412yes—
901C2×C42C2412yes—
902C2×C42C2412yes—
903C2×C42C2412yes—
904C2×C42C2414yes—
905#95C2411yescharacteristic
906#95C2411yescharacteristic
907#95C2412yes—
908#95C2411yescharacteristic
909#95C2412yes—
910#95C2412yes—
911#95C2414yes—
912#95C2414yes—
913#95C2412yes—
914#95C2412yes—
915#95C2412yes—
916#95C2414yes—
917#95C2414yes—
918#95C2411yescharacteristic
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#95C2412yes—
935#95C2412yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961C24—22no—
962C24—22no—
963C24—22no—
964C24—22no—
965C24—24no—
966C24—42no—
967C24—42no—
968C24—42no—
969C24—42no—
970C24—44no—
971C24—42no—
972C24—44no—
973C24—42no—
974C24C2×#4114yes—
975C24H(5,𝔽2)14yes—
976C24C2514yes—
977C24C2512yes—
978C24C2511yescharacteristic
979C24C2511yescharacteristic
980C24C2512yes—
981C24C2511yescharacteristic
982#41—88no—
983C2×Q8—22no—
984C2×Q8—42no—
985C2×Q8—44no—
986C2×Q8—44no—
987C2×Q8—44no—
988C2×D4—24no—
989C2×D4—24no—
990C2×D4—24no—
991C2×D4—24no—
992C2×D4—28no—
993C2×D4—24no—
994C2×D4—28no—
995C2×D4—24no—
996C2×D4—24no—
997C2×D4—28no—
998C2×D4—24no—
999C2×D4—24no—
1000C2×D4—28no—
1001C2×D4—28no—
1002C2×D4—28no—
1003C2×D4—28no—
1004C2×D4—24no—
1005C2×D4—22no—
1006C2×D4—24no—
1007C2×D4—44no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
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—416no—
1030C2×D4—88no—
1031C2×D4—816no—
1032C22×C4—22no—
1033C22×C4—22no—
1034C22×C4—22no—
1035C22×C4—22no—
1036C22×C4—24no—
1037C22×C4—22no—
1038C22×C4—24no—
1039C22×C4—24no—
1040C22×C4—24no—
1041C22×C4—24no—
1042C22×C4—24no—
1043C22×C4—24no—
1044C22×C4—24no—
1045C22×C4—24no—
1046C22×C4—28no—
1047C22×C4—28no—
1048C22×C4—42no—
1049C22×C4—42no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—42no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—42no—
1057C22×C4—42no—
1058C22×C4—42no—
1059C22×C4—42no—
1060C22×C4—42no—
1061C22×C4—42no—
1062C22×C4—44no—
1063C22×C4—44no—
1064C22×C4—44no—
1065C22×C4—44no—
1066C22×C4—44no—
1067C22×C4—44no—
1068C22×C4—44no—
1069C22×C4—42no—
1070C22×C4—44no—
1071C22×C4—44no—
1072C22×C4—44no—
1073C22×C4—42no—
1074C22×C4—42no—
1075C22×C4—44no—
1076C22×C4—44no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—44no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—88no—
1085C22×C4—88no—
1086C22×C4—816no—
1087C22×C4C2×#4114yes—
1088C22×C4C2×#4114yes—
1089C22×C4C2×#4114yes—
1090C22×C4C2×#4114yes—
1091C22×C4C2×#4114yes—
1092C22×C4C2×#4114yes—
1093C22×C4C2514yes—
1094C22×C4C2512yes—
1095C22×C4C2512yes—
1096C22×C4C2512yes—
1097C22×C4C2512yes—
1098C22×C4C2512yes—
1099C22×C4C2514yes—
1100C22×C4C2512yes—
1101C22×C4C2512yes—
1102C22×C4C2512yes—
1103C22×C4C2514yes—
1104C22×C4C2514yes—
1105C22×C4C2514yes—
1106C22×C4C2514yes—
1107C22×C4C2514yes—
1108C22×C4C2512yes—
1109C22×C4C2511yescharacteristic
1110C22×C4C2511yescharacteristic
1111C22×C4C2511yescharacteristic
1112C22×C4C2511yescharacteristic
1113C22×C4C2512yes—
1114C4⋊C4—24no—
1115C4⋊C4—24no—
1116C4⋊C4—24no—
1117C4⋊C4—24no—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—24no—
1121C4⋊C4—24no—
1122C4⋊C4—42no—
1123C4⋊C4—42no—
1124C4⋊C4—44no—
1125C4⋊C4—44no—
1126C4⋊C4—44no—
1127C4⋊C4—44no—
1128C4⋊C4—44no—
1129C4⋊C4—42no—
1130C4⋊C4—42no—
1131C4⋊C4—44no—
1132C4⋊C4—44no—
1133C4⋊C4—44no—
1134C4⋊C4—44no—
1135C4⋊C4—44no—
1136C4⋊C4—44no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—44no—
1140C4⋊C4—44no—
1141C4⋊C4—44no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C22⋊C4—24no—
1151C22⋊C4—24no—
1152C22⋊C4—24no—
1153C22⋊C4—24no—
1154C22⋊C4—24no—
1155C22⋊C4—28no—
1156C22⋊C4—28no—
1157C22⋊C4—28no—
1158C22⋊C4—24no—
1159C22⋊C4—28no—
1160C22⋊C4—28no—
1161C22⋊C4—28no—
1162C22⋊C4—24no—
1163C22⋊C4—24no—
1164C22⋊C4—24no—
1165C22⋊C4—28no—
1166C22⋊C4—28no—
1167C22⋊C4—24no—
1168C22⋊C4—24no—
1169C22⋊C4—24no—
1170C22⋊C4—24no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—44no—
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—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C42—24no—
1208C42—24no—
1209C42—24no—
1210C42—28no—
1211C42—28no—
1212C42—44no—
1213C42—42no—
1214C42—42no—
1215C42—42no—
1216C42—42no—
1217C42—44no—
1218C42—44no—
1219C42—44no—
1220C42—44no—
1221C42—44no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—21no—
1226C23—21no—
1227C23—22no—
1228C23—22no—
1229C23—24no—
1230C23—22no—
1231C23—21no—
1232C23—21no—
1233C23—22no—
1234C23—22no—
1235C23—24no—
1236C23—28no—
1237C23—28no—
1238C23—22no—
1239C23—24no—
1240C23—22no—
1241C23—24no—
1242C23—24no—
1243C23—24no—
1244C23—22no—
1245C23—24no—
1246C23—24no—
1247C23—24no—
1248C23—24no—
1249C23—24no—
1250C23—48no—
1251C23—44no—
1252C23—44no—
1253C23—44no—
1254C23—48no—
1255C23—44no—
1256C23—48no—
1257C23—84no—
1258C23—84no—
1259C23—84no—
1260C23—84no—
1261C23—164no—
1262C23—164no—
1263C23C22×#4112yes—
1264C23C22×#4112yes—
1265C23C22×#4112yes—
1266C23C2×H(5,𝔽2)14yes—
1267C23C2×H(5,𝔽2)12yes—
1268C23#58512yes—
1269C23C2611yescharacteristic
1270Q8—44no—
1271Q8—164no—
1272D4—48no—
1273D4—44no—
1274D4—48no—
1275D4—48no—
1276D4—48no—
1277D4—48no—
1278D4—416no—
1279D4—84no—
1280D4—88no—
1281D4—88no—
1282D4—88no—
1283D4—88no—
1284D4—84no—
1285D4—164no—
1286D4—164no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—24no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—24no—
1304C2×C4—24no—
1305C2×C4—24no—
1306C2×C4—24no—
1307C2×C4—24no—
1308C2×C4—22no—
1309C2×C4—24no—
1310C2×C4—24no—
1311C2×C4—24no—
1312C2×C4—24no—
1313C2×C4—22no—
1314C2×C4—24no—
1315C2×C4—24no—
1316C2×C4—22no—
1317C2×C4—24no—
1318C2×C4—22no—
1319C2×C4—24no—
1320C2×C4—24no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—24no—
1325C2×C4—24no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—24no—
1330C2×C4—24no—
1331C2×C4—24no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—24no—
1335C2×C4—24no—
1336C2×C4—24no—
1337C2×C4—44no—
1338C2×C4—44no—
1339C2×C4—44no—
1340C2×C4—44no—
1341C2×C4—44no—
1342C2×C4—44no—
1343C2×C4—48no—
1344C2×C4—44no—
1345C2×C4—44no—
1346C2×C4—44no—
1347C2×C4—88no—
1348C2×C4—84no—
1349C2×C4—84no—
1350C2×C4—88no—
1351C2×C4—84no—
1352C2×C4—84no—
1353C2×C4—84no—
1354C2×C4—84no—
1355C2×C4—84no—
1356C2×C4—88no—
1357C2×C4—164no—
1358C2×C4—164no—
1359C2×C4—164no—
1360C2×C4C22×#4112yes—
1361C2×C4C22×#4112yes—
1362C2×C4C22×#4112yes—
1363C2×C4C22×#4112yes—
1364C2×C4#58514yes—
1365C22—22no—
1366C22—24no—
1367C22—24no—
1368C22—22no—
1369C22—22no—
1370C22—22no—
1371C22—24no—
1372C22—22no—
1373C22—22no—
1374C22—28no—
1375C22—22no—
1376C22—22no—
1377C22—416no—
1378C22—42no—
1379C22—42no—
1380C22—42no—
1381C22—44no—
1382C22—42no—
1383C22—42no—
1384C22—42no—
1385C22—44no—
1386C22—42no—
1387C22—42no—
1388C22—44no—
1389C22—44no—
1390C22—44no—
1391C22—44no—
1392C22—44no—
1393C22—44no—
1394C22—44no—
1395C22—42no—
1396C22—44no—
1397C22—88no—
1398C22—168no—
1399C22#349414yes—
1400C22C23×#4111yescharacteristic
1401C22C22×H(5,𝔽2)11yescharacteristic
1402C22C2×#58511yescharacteristic
1403C22C2×#58512yes—
1404C22H(7,𝔽2)12yes—
1405C4—22no—
1406C4—22no—
1407C4—22no—
1408C4—22no—
1409C4—24no—
1410C4—42no—
1411C4—44no—
1412C4—42no—
1413C4—42no—
1414C4—42no—
1415C4—42no—
1416C4—42no—
1417C4—44no—
1418C4—44no—
1419C4—44no—
1420C4—44no—
1421C4—42no—
1422C4—44no—
1423C4—44no—
1424C4—42no—
1425C4—42no—
1426C2—24no—
1427C2—44no—
1428C2—42no—
1429C2—42no—
1430C2—82no—
1431C2—84no—
1432C2#6268611yescharacteristic
1433C2C2×#349411yescharacteristic
1434C2#6284411yescharacteristic
1435C2#6290512yes—
1436C2#6290612yes—
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. #41717C2semidirect
2. #41614C2semidirect
3. #41436C2semidirect
4. #41086C2semidirect
5. #40941C2semidirect
6. #40656C2semidirect
7. #40582C2semidirect
8. #39428C2semidirect
9. #39344C2semidirect
10. #39141C2semidirect
11. #38246C2semidirect
12. #37478C2semidirect
13. #37465C2semidirect
14. #37463C2semidirect
15. #37446C2semidirect
16. #36607C2semidirect
17. #36359C2semidirect
18. #36063C2semidirect
19. #35944C2semidirect
20. #35827C2semidirect
21. #35003C2semidirect
22. #35000C2semidirect
23. #34570C2semidirect
24. #34562C2semidirect
25. #34246C2semidirect
26. #34233C2semidirect
27. C2×#2353C2semidirect
28. C2×#538C22semidirect
34. #2850C22semidirect
36. #2847C22semidirect
37. #2841C22semidirect
38. #2838C22semidirect
39. #2836C22semidirect
40. #2831C22semidirect
41. #2829C22semidirect
42. #2816C22semidirect
43. #2815C22semidirect
44. #2797C22semidirect
45. #2796C22semidirect
46. #2778C22semidirect
47. #2776C22semidirect
48. #2770C22semidirect
49. #2757C22semidirect
50. #2749C22semidirect
51. #2746C22semidirect
52. #2745C22semidirect
53. #2735C22semidirect
54. #2728C22semidirect
55. #2722C22semidirect
56. #2717C22semidirect
57. #2708C22semidirect
58. #2697C22semidirect
61. #2691C22semidirect
62. #2688C22semidirect
64. #2676C22semidirect
65. #2672C22semidirect
66. #2671C22semidirect
68. #2667C22semidirect
69. #2667C22semidirect
70. #2666C22semidirect
71. #2665C22semidirect
72. #2659C22semidirect
74. #2655C22semidirect
75. #2654C22semidirect
76. #2653C22semidirect
77. #2652C22semidirect
78. #2651C22semidirect
79. #2649C22semidirect
80. #2648C22semidirect
81. #2648C22semidirect
82. #2646C22semidirect
83. #2643C22semidirect
85. #2638C22semidirect
86. #2638C22semidirect
87. #2635C22semidirect
88. #2635C22semidirect
90. #2630C22semidirect
91. #2627C22semidirect
92. #2627C22semidirect
93. #2626C22semidirect
94. #2623C22semidirect
96. #2622C22semidirect
98. #2618C22semidirect
100. #2617C22semidirect
102. #2613C22semidirect
103. #2612C22semidirect
104. #2610C22semidirect
105. #2598C22semidirect
106. #2578C22semidirect
107. #2576C22semidirect
108. #2569C22semidirect
109. #2569C22semidirect
110. #2559C22semidirect
112. #2555C22semidirect
113. #2555C22semidirect
115. #2553C22semidirect
116. #2553C22semidirect
117. #2553C22semidirect
118. #2549C22semidirect
122. #2543C22semidirect
123. #2535C22semidirect
127. #2532C22semidirect
128. #2531C22semidirect
129. #2531C22semidirect
130. #2529C22semidirect
131. #2526C22semidirect
132. #2526C22semidirect
133. #2525C22semidirect
134. #2522C22semidirect
135. #2521C22semidirect
136. #2521C22semidirect
137. #2521C22semidirect
138. #2515C22semidirect
139. #2515C22semidirect
140. #2515C22semidirect
141. #2510C22semidirect
142. #2510C22semidirect
143. #2510C22semidirect
144. #2510C22semidirect
145. #2488C22semidirect
147. #2482C22semidirect
148. #2482C22semidirect
149. #2472C22semidirect
150. #2465C22semidirect
151. #2464C22semidirect
152. #2464C22semidirect
153. #2464C22semidirect
154. #2461C22semidirect
155. #2457C22semidirect
156. #2449C22semidirect
157. #2444C22semidirect
158. #2444C22semidirect
159. #2444C22semidirect
160. #2443C22semidirect
161. #2438C22semidirect
163. #2427C22semidirect
164. #2427C22semidirect
165. #2425C22semidirect
166. #2425C22semidirect
167. #2425C22semidirect
169. #2419C22semidirect
173. #2404C22semidirect
174. #2401C22semidirect
175. #2398C22semidirect
177. #2395C22semidirect
178. #2392C22semidirect
179. #2392C22semidirect
181. #2372C22semidirect
184. #2364C22semidirect
185. #2363C22semidirect
186. #2363C22semidirect
187. #2361C22semidirect
188. #2360C22semidirect
193. #2353C22semidirect
194. #2353C22semidirect
195. #2353C22semidirect
196. #2353C22semidirect
197. #2353C22semidirect
198. #2349C22semidirect
199. #2347C22semidirect
200. #2346C22semidirect
201. #2346C22semidirect
202. #2345C22semidirect
203. #2341C22semidirect
204. #2339C22semidirect
206. D4×C22⋊C4C22semidirect
207. #2335C22semidirect
208. #2333C22semidirect
209. #2325C22semidirect
210. #2318C22semidirect
211. #2312C22semidirect
213. C4×C22⋊Q8C22semidirect
214. C4×#123C22semidirect
217. C4×#121C22semidirect
218. C4×#120C22semidirect
219. C4×#120C22semidirect
220. #2290C22semidirect
222. C2×#387C22semidirect
224. C2×#383C22semidirect
228. C2×#380C22semidirect
229. #2275C22semidirect
230. #2273C22semidirect
232. C2×C4×C22⋊C4C22semidirect
233. C2×#376C22semidirect
234. C22×#95C22semidirect

Maximal subgroups

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

subgroupindex
#417172
#416142
#414362
#410862
#409412
#406562
#405822
#394282
#393442
#391412
#382462
#374782
#374652
#374632
#374462
#366072
#363592
#360632
#359442
#358272
#350032
#350002
#345702
#345622
#342462
#342332
C2×#23532