Finite Group Databasebeta

← #7672884

Subgroups — #7672884

Order 512.

4948 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#43600C214yesmaximal, complemented
2#43599C214yesmaximal, complemented
3#43177C214yesmaximal, complemented
4#43176C214yesmaximal, complemented
5#39799C212yesmaximal, complemented
6#39798C212yesmaximal, complemented
7#39797C212yesmaximal, complemented
8#39796C212yesmaximal, complemented
9#39760C212yesmaximal, complemented
10#39759C212yesmaximal, complemented
11#39755C212yesmaximal, complemented
12#39755C212yesmaximal, complemented
13#38235C214yesmaximal, complemented
14#38234C214yesmaximal, complemented
15#38233C214yesmaximal, complemented
16#38232C214yesmaximal, complemented
17#35370C212yesmaximal, complemented
18#35349C212yesmaximal, complemented
19#35019C211yesmaximal, characteristic
20#35011C211yesmaximal, characteristic, complemented
21#34995C212yesmaximal, complemented
22C2×#2639C211yesmaximal, characteristic
23#34251C212yesmaximal, complemented
24#34212C211yesmaximal, characteristic, complemented
25#34205C211yesmaximal, characteristic
26C2×#2329C211yesmaximal, characteristic, complemented
27C2×#2329C211yesmaximal, characteristic, complemented
28C22×C22⋊Q8C2211yescharacteristic
29C22×C22⋊Q8C2211yescharacteristic
30C22×C22⋊Q8C2211yescharacteristic
31C22×#121C2211yescharacteristic
32C2×#518C2212yes—
33#2857C2212yescomplemented
34#2857C2212yescomplemented
35#2852C2214yescomplemented
36#2852C2214yescomplemented
37#2850C2212yes—
38#2850C2212yes—
39#2810C2214yescomplemented
40#2808C2214yescomplemented
41#2805C2214yescomplemented
42#2800C2214yescomplemented
43#2800C2214yescomplemented
44#2798C2214yescomplemented
45#2798C2214yescomplemented
46#2793C2214yescomplemented
47#2793C2214yescomplemented
48#2789C2214yescomplemented
49#2788C2214yescomplemented
50#2787C2214yescomplemented
51#2786C2214yescomplemented
52#2783C2214yescomplemented
53#2777C2214yescomplemented
54#2776C2214yescomplemented
55#2776C2214yescomplemented
56#2775C2214yescomplemented
57#2767C2214yescomplemented
58#2762C2214yescomplemented
59#2759C2214yescomplemented
60#2759C2214yescomplemented
61#2759C2214yescomplemented
62#2758C2214yescomplemented
63#2745C2214yescomplemented
64#2740C2214yescomplemented
65#2727C2214yescomplemented
66#2716C2214yescomplemented
67#2716C2214yescomplemented
68#2715C2214yescomplemented
69#2700C2214yescomplemented
70#2689C2214yescomplemented
71#2659C2212yescomplemented
72#2659C2212yescomplemented
73#2643C2214yescomplemented
74#2643C2214yescomplemented
75#2639C2212yes—
76#2639C2212yes—
77#2639C2214yes—
78#2639C2214yes—
79#2639C2212yes—
80#2639C2212yes—
81#2639C2212yes—
82#2639C2212yes—
83#2605C2214yescomplemented
84#2604C2214yescomplemented
85#2601C2214yescomplemented
86#2599C2214yescomplemented
87#2594C2214yescomplemented
88#2591C2214yes—
89#2588C2214yescomplemented
90#2583C2214yes—
91#2583C2214yescomplemented
92#2579C2214yescomplemented
93#2579C2214yescomplemented
94#2577C2214yescomplemented
95#2561C2214yes—
96#2560C2214yescomplemented
97#2533C2214yescomplemented
98#2533C2214yescomplemented
99#2532C2214yescomplemented
100#2528C2214yescomplemented
101#2527C2214yescomplemented
102#2527C2214yescomplemented
103#2524C2214yescomplemented
104#2523C2214yescomplemented
105#2523C2214yescomplemented
106#2521C2214yescomplemented
107#2514C2214yescomplemented
108#2510C2214yescomplemented
109#2510C2214yescomplemented
110#2510C2214yescomplemented
111#2510C2214yescomplemented
112#2510C2214yescomplemented
113#2510C2214yescomplemented
114#2509C2214yescomplemented
115#2504C2212yes—
116#2503C2212yes—
117#2502C2212yes—
118#2502C2212yescomplemented
119#2499C2214yescomplemented
120#2496C2214yescomplemented
121#2493C2214yes—
122#2493C2214yes—
123#2493C2214yes—
124#2493C2214yes—
125#2492C2214yescomplemented
126#2487C2214yescomplemented
127#2485C2214yescomplemented
128#2481C2214yescomplemented
129#2481C2214yescomplemented
130#2481C2214yescomplemented
131#2481C2214yescomplemented
132#2481C2214yescomplemented
133#2481C2214yescomplemented
134#2480C2214yes—
135#2480C2214yes—
136#2480C2214yes—
137#2480C2214yes—
138#2478C2214yescomplemented
139#2474C2214yescomplemented
140#2469C2214yescomplemented
141#2466C2214yescomplemented
142#2466C2214yescomplemented
143#2465C2214yescomplemented
144#2450C2214yescomplemented
145#2450C2214yescomplemented
146#2449C2214yescomplemented
147#2449C2214yescomplemented
148#2439C2214yescomplemented
149#2438C2214yes—
150#2438C2214yes—
151#2437C2214yes—
152#2437C2214yes—
153#2436C2212yes—
154#2435C2212yes—
155#2434C2212yes—
156#2434C2212yescomplemented
157#2415C2214yescomplemented
158#2409C2214yescomplemented
159C2×#400C2212yes—
160C2×#397C2212yes—
161C2×#394C2212yes—
162C2×#393C2212yes—
163#2368C2214yescomplemented
164#2364C2214yes—
165#2361C2212yes—
166#2361C2212yes—
167#2360C2212yescomplemented
168#2360C2212yescomplemented
169#2353C2214yescomplemented
170#2353C2214yescomplemented
171#2352C2214yescomplemented
172#2352C2214yescomplemented
173#2345C2212yes—
174#2345C2214yes—
175#2344C2212yes—
176#2343C2214yes—
177#2343C2214yes—
178#2342C2214yes—
179#2342C2214yes—
180#2342C2214yes—
181Q8×C22⋊C4C2212yes—
182D4×C22⋊C4C2212yes—
183#2329C2214yes—
184#2329C2214yes—
185#2329C2214yes—
186#2329C2214yes—
187#2329C2212yescomplemented
188#2329C2212yescomplemented
189#2329C2214yescomplemented
190#2329C2214yescomplemented
191#2329C2212yescomplemented
192#2329C2212yescomplemented
193#2329C2212yescomplemented
194#2329C2212yescomplemented
195#2325C2212yes—
196#2325C2212yes—
197#2318C2214yescomplemented
198#2318C2214yescomplemented
199#2315C2212yes—
200#2315C2212yes—
201#2315C2212yes—
202#2308C2212yes—
203#2308C2212yes—
204#2308C2212yes—
205C4×C22⋊Q8C2212yescomplemented
206C4×C22⋊Q8C2212yescomplemented
207C4×#121C2212yes—
208C4×#121C2212yes—
209C2×#391C2211yescharacteristic, complemented
210C2×#391C2212yescomplemented
211C2×#391C2211yescharacteristic, complemented
212C2×#389C2211yescharacteristic, complemented
213C2×#389C2212yescomplemented
214C2×#389C2211yescharacteristic, complemented
215#2290C2214yescomplemented
216#2290C2214yescomplemented
217C2×#387C2211yescharacteristic, complemented
218C2×#387C2211yescharacteristic, complemented
219C2×#387C2212yescomplemented
220C2×#387C2212yescomplemented
221C2×#387C2211yescharacteristic, complemented
222C2×#387C2211yescharacteristic, complemented
223C2×#386C2212yes—
224C2×#386C2212yes—
225C2×#385C2212yes—
226C2×#385C2211yescharacteristic
227C2×#385C2211yescharacteristic
228C2×#380C2211yescharacteristic
229C2×#380C2211yescharacteristic
230#2273C2212yes—
231C2×C4×C22⋊C4C2211yescharacteristic
232C2×C4×C22⋊C4C2211yescharacteristic
233C2×C4×C22⋊C4C2212yes—
234C22×#95C2211yescharacteristic
235C23×Q8C2311yescharacteristic
236C23×Q8C2311yescharacteristic
237C23×Q8C2311yescharacteristic
238C23×D4C2312yes—
239C23×D4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C2×C4⋊Q8C2312yes—
244C2×C4⋊Q8C2312yes—
245C2×#126C2314yes—
246C2×#126C2314yes—
247C2×#126C2314yes—
248C2×#126C2314yes—
249C2×#124C2312yes—
250C2×#124C2312yes—
251C2×C22⋊Q8—28no—
252C2×C22⋊Q8—28no—
253C2×C22⋊Q8—28no—
254C2×C22⋊Q8C2312yes—
255C2×C22⋊Q8C2312yes—
256C2×C22⋊Q8C2312yes—
257C2×C22⋊Q8C2314yes—
258C2×C22⋊Q8C2312yes—
259C2×C22⋊Q8C2312yes—
260C2×C22⋊Q8C2312yes—
261C2×C22⋊Q8C2314yes—
262C2×C22⋊Q8C2312yes—
263C2×C22⋊Q8C2312yes—
264C2×C22⋊Q8C2314yes—
265C2×C22⋊Q8C2314yes—
266C2×#121—28no—
267C2×#121C2312yes—
268C2×#121C2312yes—
269C2×#121C2312yes—
270C2×#121C2312yes—
271#518—216no—
272C2×C4×Q8C2312yes—
273C2×C4×Q8C2312yes—
274C2×C4×D4C2314yes—
275C2×C4×D4C2314yes—
276C2×C4×D4C2314yes—
277C2×C4×D4C2314yes—
278C2×C4×D4C2312yes—
279C2×C4×D4C2312yes—
280C2×#117C2314yes—
281C2×#117C2314yes—
282C2×#117C2314yes—
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2312yes—
286C22×C4⋊C4C2312yes—
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2312yes—
296C22×C4⋊C4C2312yes—
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C22⋊C4C2312yes—
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2312yes—
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2312yes—
307C22×C22⋊C4C2312yes—
308C22×C22⋊C4C2314yes—
309C22×C22⋊C4C2312yes—
310C22×C22⋊C4C2312yes—
311C22×C22⋊C4C2312yes—
312C22×C22⋊C4C2312yes—
313C22×C22⋊C4C2311yescharacteristic
314C22×C42C2311yescharacteristic
315C22×C42C2311yescharacteristic
316C22×C42C2312yes—
317C22×C42C2312yes—
318C22×C42C2311yescharacteristic
319C22×C42C2311yescharacteristic
320#401C2314yes—
321#401C2314yes—
322#401C2314yes—
323#401C2314yes—
324#400C2314yes—
325#400C2314yes—
326#400C2314yes—
327#400C2314yes—
328#400C2314yes—
329#400C2314yes—
330#400C2314yes—
331#400C2314yes—
332#400C2314yes—
333#400C2314yes—
334#400C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2314yes—
338#400C2314yes—
339#400C2314yes—
340#400C2314yes—
341#400C2314yes—
342#400C2314yes—
343#400C2314yes—
344#399C2314yes—
345#399C2314yes—
346#398C2314yes—
347#398C2314yes—
348#398C2314yes—
349#398C2314yes—
350#398C2314yes—
351#398C2314yes—
352#398C2314yes—
353#398C2314yes—
354#397C2314yes—
355#397C2314yes—
356#397C2314yes—
357#397C2314yes—
358#397C2314yes—
359#397C2314yes—
360#397C2314yes—
361#397C2314yes—
362#397C2314yes—
363#397C2314yes—
364#397C2314yes—
365#397C2314yes—
366#397C2314yes—
367#397C2314yes—
368#397C2314yes—
369#397C2314yes—
370#397C2314yes—
371#397C2314yes—
372#396C2314yes—
373#396C2314yes—
374#396C2314yes—
375#396C2314yes—
376#396C2314yes—
377#396C2314yes—
378#396C2314yes—
379#396C2314yes—
380#395C2314yes—
381#395C2314yes—
382#395C2314yes—
383#395C2314yes—
384#395C2314yes—
385#395C2314yes—
386#394C2314yes—
387#394C2314yes—
388#394C2314yes—
389#394C2314yes—
390#394C2314yes—
391#394C2314yes—
392#393C2314yes—
393#393C2314yes—
394#393C2314yes—
395#393C2314yes—
396#393C2314yes—
397#393C2314yes—
398#393C2314yes—
399#393C2314yes—
400#391C2314yes—
401#391C2314yes—
402#391C2314yes—
403#391C2314yes—
404#391C2314yes—
405#391C2314yes—
406#391C2314yes—
407#391C2314yes—
408#391C2314yes—
409#391C2314yes—
410#391C2312yes—
411#391C2312yes—
412#391C2312yes—
413#391C2312yes—
414#391C2312yes—
415#391C2312yes—
416#391C2312yes—
417#391C2312yes—
418#391C2314yes—
419#391C2314yes—
420#390C2312yes—
421#390C2312yes—
422#390C2312yes—
423#390C2312yes—
424#389C2314yes—
425#389C2314yes—
426#389C2314yes—
427#389C2314yes—
428#389C2314yes—
429#389C2314yes—
430#389C2314yes—
431#389C2314yes—
432#389C2314yes—
433#389C2314yes—
434#389C2314yes—
435#389C2314yes—
436#389C2314yes—
437#389C2314yes—
438#389C2312yes—
439#389C2312yes—
440#389C2312yes—
441#389C2312yes—
442#389C2314yes—
443#389C2314yes—
444#388C2314yes—
445#388C2314yes—
446#388C2314yes—
447#388C2314yes—
448#388C2314yes—
449#388C2314yes—
450#388C2314yes—
451#388C2314yes—
452#388C2314yes—
453#388C2314yes—
454#388C2314yes—
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#387C2314yes—
473#387C2314yes—
474#387C2314yes—
475#387C2314yes—
476#387C2314yes—
477#387C2314yes—
478#387C2314yes—
479#387C2314yes—
480#387C2314yes—
481#387C2314yes—
482#387C2314yes—
483#387C2314yes—
484#387C2314yes—
485#387C2314yes—
486#387C2314yes—
487#387C2314yes—
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#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#387C2314yes—
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#385C2314yes—
543#385C2314yes—
544#385C2314yes—
545#385C2314yes—
546#385C2314yes—
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#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#384C2312yes—
569#384C2312yes—
570#383C2314yes—
571#383C2314yes—
572#383C2314yes—
573#383C2314yes—
574#383C2314yes—
575#383C2314yes—
576#382C2314yes—
577#382C2314yes—
578#382C2312yes—
579#382C2312yes—
580#381C2314yes—
581#381C2314yes—
582#381C2314yes—
583#381C2314yes—
584#381C2314yes—
585#380C2314yes—
586#380C2314yes—
587#380C2314yes—
588#380C2314yes—
589#380C2314yes—
590#380C2314yes—
591#380C2314yes—
592#380C2314yes—
593#380C2314yes—
594#380C2312yes—
595#380C2312yes—
596#380C2312yes—
597#380C2314yes—
598#380C2312yes—
599#380C2314yes—
600#380C2314yes—
601#379C2314yes—
602#379C2314yes—
603#379C2314yes—
604C4×C4⋊C4C2314yes—
605C4×C4⋊C4C2312yes—
606C4×C4⋊C4C2314yes—
607C4×C4⋊C4C2314yes—
608C4×C4⋊C4C2312yes—
609C4×C4⋊C4C2314yes—
610C4×C4⋊C4C2312yes—
611C4×C4⋊C4C2312yes—
612C4×C22⋊C4C2314yes—
613C4×C22⋊C4C2312yes—
614C4×C22⋊C4C2314yes—
615C4×C22⋊C4C2314yes—
616C4×C22⋊C4C2314yes—
617C4×C22⋊C4C2312yes—
618C4×C22⋊C4C2312yes—
619C4×C22⋊C4C2312yes—
620C4×C22⋊C4C2314yes—
621C4×C22⋊C4C2314yes—
622C4×C22⋊C4C2312yes—
623C4×C22⋊C4C2312yes—
624C4×C22⋊C4C2314yes—
625C4×C22⋊C4C2314yes—
626C4×C22⋊C4C2312yes—
627C4×C22⋊C4C2312yes—
628C4×C22⋊C4C2314yes—
629C4×C22⋊C4C2314yes—
630C4×C22⋊C4C2314yes—
631C4×C22⋊C4C2314yes—
632C4×C22⋊C4C2314yes—
633C4×C22⋊C4C2314yes—
634#376C2314yes—
635#376C2314yes—
636C2×#95C2312yes—
637C2×#95C2312yes—
638C2×#95C2311yescharacteristic
639C2×#95C2311yescharacteristic
640C2×#95C2312yes—
641C2×#95C2312yes—
642C2×#95C2311yescharacteristic
643C2×#95C2312yes—
644C2×#95C2311yescharacteristic
645C2×#95C2311yescharacteristic
646C2×#95C2312yes—
647C2×#95C2311yescharacteristic
648C2×#95C2311yescharacteristic
649C2×#95C2311yescharacteristic
650C2×#95C2312yes—
651C2×#95C2312yes—
652C2×#95C2311yescharacteristic
653C2×#95C2311yescharacteristic
654C2×#95C2312yes—
655C2×#95C2312yes—
656C2×#95C2312yes—
657C2×#95C2312yes—
658C2×#95C2312yes—
659C2×#95C2311yescharacteristic
660C2×#95C2311yescharacteristic
661C2×#95C2311yescharacteristic
662C2×#95C2311yescharacteristic
663C25C2412yes—
664C25C2411yescharacteristic
665C22×Q8—24no—
666C22×Q8—24no—
667C22×Q8—24no—
668C22×Q8—81no—
669C22×Q8—81no—
670C22×Q8—81no—
671C22×Q8—81no—
672C22×Q8—81no—
673C22×Q8—81no—
674C22×Q8C2412yes—
675C22×Q8C2414yes—
676C22×Q8C2412yes—
677C22×Q8C2412yes—
678C22×Q8C2412yes—
679C22×D4—28no—
680C22×D4—28no—
681C22×D4—28no—
682C22×D4—24no—
683C22×D4—81no—
684C22×D4—81no—
685C22×D4C2414yes—
686C22×D4C2414yes—
687C22×D4C2412yes—
688C22×D4C2412yes—
689C23×C4—24no—
690C23×C4—24no—
691C23×C4—81no—
692C23×C4—81no—
693C23×C4—81no—
694C23×C4—81no—
695C23×C4—81no—
696C23×C4—81no—
697C23×C4#4118yes—
698C23×C4C2412yes—
699C23×C4C2412yes—
700C23×C4C2412yes—
701C23×C4C2412yes—
702C23×C4C2412yes—
703C23×C4C2412yes—
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2412yes—
708C23×C4C2412yes—
709C23×C4C2411yescharacteristic
710C23×C4C2412yes—
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2414yes—
714C23×C4C2414yes—
715C23×C4C2411yescharacteristic
716C23×C4C2412yes—
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2412yes—
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C4⋊Q8—82no—
730C4⋊Q8—82no—
731#126—84no—
732#126—84no—
733#126—84no—
734#126—84no—
735#124—82no—
736#124—82no—
737C22⋊Q8—28no—
738C22⋊Q8—28no—
739C22⋊Q8—28no—
740C22⋊Q8—28no—
741C22⋊Q8—28no—
742C22⋊Q8—28no—
743C22⋊Q8—28no—
744C22⋊Q8—28no—
745C22⋊Q8—216no—
746C22⋊Q8—216no—
747C22⋊Q8—84no—
748C22⋊Q8—84no—
749#121—28no—
750#121—28no—
751#121—28no—
752#121—28no—
753C4×Q8—82no—
754C4×Q8—82no—
755C4×D4—216no—
756C4×D4—216no—
757C4×D4—216no—
758C4×D4—216no—
759C4×D4—82no—
760C4×D4—82no—
761#117—216no—
762#117—84no—
763#117—84no—
764C2×C4⋊C4—24no—
765C2×C4⋊C4—24no—
766C2×C4⋊C4—28no—
767C2×C4⋊C4—24no—
768C2×C4⋊C4—24no—
769C2×C4⋊C4—24no—
770C2×C4⋊C4—24no—
771C2×C4⋊C4—28no—
772C2×C4⋊C4—81no—
773C2×C4⋊C4—81no—
774C2×C4⋊C4—81no—
775C2×C4⋊C4—81no—
776C2×C4⋊C4—82no—
777C2×C4⋊C4—82no—
778C2×C4⋊C4—81no—
779C2×C4⋊C4—81no—
780C2×C4⋊C4—81no—
781C2×C4⋊C4—81no—
782C2×C4⋊C4C2412yes—
783C2×C4⋊C4C2412yes—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2412yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
799C2×C4⋊C4C2412yes—
800C2×C4⋊C4C2412yes—
801C2×C4⋊C4C2412yes—
802C2×C4⋊C4C2412yes—
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×C4⋊C4C2414yes—
823C2×C22⋊C4—28no—
824C2×C22⋊C4—28no—
825C2×C22⋊C4—24no—
826C2×C22⋊C4—28no—
827C2×C22⋊C4—24no—
828C2×C22⋊C4—24no—
829C2×C22⋊C4—28no—
830C2×C22⋊C4—216no—
831C2×C22⋊C4—82no—
832C2×C22⋊C4—82no—
833C2×C22⋊C4—82no—
834C2×C22⋊C4—82no—
835C2×C22⋊C4#4118yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2412yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2412yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2412yes—
849C2×C22⋊C4C2412yes—
850C2×C22⋊C4C2412yes—
851C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
873C2×C22⋊C4C2412yes—
874C2×C42—82no—
875C2×C42—82no—
876C2×C42—81no—
877C2×C42—81no—
878C2×C42—81no—
879C2×C42—81no—
880C2×C42C2414yes—
881C2×C42C2414yes—
882C2×C42C2414yes—
883C2×C42C2414yes—
884C2×C42C2414yes—
885C2×C42C2414yes—
886C2×C42C2412yes—
887C2×C42C2412yes—
888C2×C42C2414yes—
889C2×C42C2412yes—
890C2×C42C2412yes—
891C2×C42C2412yes—
892C2×C42C2412yes—
893C2×C42C2414yes—
894C2×C42C2414yes—
895C2×C42C2412yes—
896C2×C42C2412yes—
897C2×C42C2414yes—
898#95C2412yes—
899#95C2412yes—
900#95C2412yes—
901#95C2412yes—
902#95C2412yes—
903#95C2412yes—
904#95C2412yes—
905#95C2412yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2412yes—
916#95C2412yes—
917#95C2412yes—
918#95C2412yes—
919#95C2412yes—
920#95C2412yes—
921#95C2412yes—
922#95C2412yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#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—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966C24—24no—
967C24—24no—
968C24—24no—
969C24—41no—
970C24—41no—
971C24—41no—
972C24—41no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—42no—
977C24C2×#4114yes—
978C24C2×#4114yes—
979C242−1+414yes—
980C24C2514yes—
981C24C2511yescharacteristic
982C24C2511yescharacteristic
983C24C2511yescharacteristic
984C2×Q8—24no—
985C2×Q8—24no—
986C2×Q8—24no—
987C2×Q8—24no—
988C2×Q8—28no—
989C2×Q8—42no—
990C2×Q8—42no—
991C2×Q8—44no—
992C2×Q8—44no—
993C2×Q8—42no—
994C2×Q8—42no—
995C2×Q8—42no—
996C2×Q8—42no—
997C2×Q8—42no—
998C2×Q8—42no—
999C2×Q8—88no—
1000C2×Q8—88no—
1001C2×Q8—88no—
1002C2×D4—28no—
1003C2×D4—28no—
1004C2×D4—28no—
1005C2×D4—28no—
1006C2×D4—28no—
1007C2×D4—28no—
1008C2×D4—24no—
1009C2×D4—24no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—432no—
1015C2×D4—88no—
1016C22×C4—22no—
1017C22×C4—24no—
1018C22×C4—24no—
1019C22×C4—24no—
1020C22×C4—22no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—24no—
1024C22×C4—24no—
1025C22×C4—24no—
1026C22×C4—24no—
1027C22×C4—24no—
1028C22×C4—24no—
1029C22×C4—24no—
1030C22×C4—24no—
1031C22×C4—24no—
1032C22×C4—22no—
1033C22×C4—22no—
1034C22×C4—22no—
1035C22×C4—22no—
1036C22×C4—24no—
1037C22×C4—22no—
1038C22×C4—22no—
1039C22×C4—28no—
1040C22×C4—28no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—42no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—42no—
1049C22×C4—42no—
1050C22×C4—41no—
1051C22×C4—42no—
1052C22×C4—41no—
1053C22×C4—41no—
1054C22×C4—41no—
1055C22×C4—41no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4—42no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—41no—
1066C22×C4—41no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—42no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—42no—
1074C22×C4—42no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—42no—
1078C22×C4—42no—
1079C22×C4—42no—
1080C22×C4—42no—
1081C22×C4—42no—
1082C22×C4—42no—
1083C22×C4—42no—
1084C22×C4—41no—
1085C22×C4—42no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—41no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—41no—
1101C22×C4—88no—
1102C22×C4—88no—
1103C22×C4—88no—
1104C22×C4C2×#4114yes—
1105C22×C4C2×#4114yes—
1106C22×C4C2×#4114yes—
1107C22×C4C2×#4114yes—
1108C22×C4C2×#4114yes—
1109C22×C4C2×#4114yes—
1110C22×C4C2×#4114yes—
1111C22×C4C2×#4114yes—
1112C22×C4C2514yes—
1113C22×C4C2512yes—
1114C22×C4C2512yes—
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2514yes—
1119C22×C4C2512yes—
1120C22×C4C2514yes—
1121C22×C4C2512yes—
1122C22×C4C2514yes—
1123C22×C4C2512yes—
1124C22×C4C2514yes—
1125C22×C4C2512yes—
1126C22×C4C2514yes—
1127C22×C4C2512yes—
1128C22×C4C2514yes—
1129C22×C4C2511yescharacteristic
1130C22×C4C2511yescharacteristic
1131C22×C4C2512yes—
1132C22×C4C2511yescharacteristic
1133C22×C4C2512yes—
1134C22×C4C2511yescharacteristic
1135C4⋊C4—24no—
1136C4⋊C4—24no—
1137C4⋊C4—24no—
1138C4⋊C4—24no—
1139C4⋊C4—24no—
1140C4⋊C4—24no—
1141C4⋊C4—28no—
1142C4⋊C4—28no—
1143C4⋊C4—28no—
1144C4⋊C4—28no—
1145C4⋊C4—28no—
1146C4⋊C4—28no—
1147C4⋊C4—28no—
1148C4⋊C4—28no—
1149C4⋊C4—28no—
1150C4⋊C4—44no—
1151C4⋊C4—44no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—42no—
1155C4⋊C4—42no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—28no—
1180C22⋊C4—24no—
1181C22⋊C4—28no—
1182C22⋊C4—28no—
1183C22⋊C4—24no—
1184C22⋊C4—24no—
1185C22⋊C4—24no—
1186C22⋊C4—24no—
1187C22⋊C4—24no—
1188C22⋊C4—28no—
1189C22⋊C4—28no—
1190C22⋊C4—28no—
1191C22⋊C4—28no—
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—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4C2×#4118yes—
1213C22⋊C4C2×#4118yes—
1214C42—28no—
1215C42—28no—
1216C42—44no—
1217C42—44no—
1218C42—42no—
1219C42—42no—
1220C42—42no—
1221C42—42no—
1222C42—42no—
1223C42—42no—
1224C42—44no—
1225C42—44no—
1226C42—42no—
1227C42—42no—
1228C42—44no—
1229C42—44no—
1230C42—44no—
1231C42—44no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—24no—
1245C23—24no—
1246C23—24no—
1247C23—24no—
1248C23—24no—
1249C23—24no—
1250C23—24no—
1251C23—44no—
1252C23—44no—
1253C23—44no—
1254C23—44no—
1255C23—44no—
1256C23—44no—
1257C23—48no—
1258C23—84no—
1259C23—84no—
1260C23—84no—
1261C23—84no—
1262C23—84no—
1263C23—84no—
1264C23#556116yes—
1265C23C22×#4112yes—
1266C23C22×#4112yes—
1267C23C22×#4112yes—
1268C23C22×#4112yes—
1269C23C22×#4112yes—
1270C23C22×#4112yes—
1271C23C2×2−1+412yes—
1272C23C2×2−1+412yes—
1273C23C2×2−1+412yes—
1274C23C2611yescharacteristic
1275Q8—48no—
1276Q8—84no—
1277Q8—84no—
1278Q8—84no—
1279Q8—88no—
1280D4—48no—
1281D4—416no—
1282D4—416no—
1283D4—84no—
1284C2×C4—22no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—22no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—24no—
1297C2×C4—24no—
1298C2×C4—24no—
1299C2×C4—22no—
1300C2×C4—24no—
1301C2×C4—24no—
1302C2×C4—24no—
1303C2×C4—24no—
1304C2×C4—24no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—24no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—24no—
1318C2×C4—24no—
1319C2×C4—22no—
1320C2×C4—24no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—24no—
1329C2×C4—22no—
1330C2×C4—24no—
1331C2×C4—24no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—24no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—24no—
1343C2×C4—24no—
1344C2×C4—22no—
1345C2×C4—24no—
1346C2×C4—22no—
1347C2×C4—44no—
1348C2×C4—44no—
1349C2×C4—44no—
1350C2×C4—44no—
1351C2×C4—44no—
1352C2×C4—44no—
1353C2×C4—44no—
1354C2×C4—44no—
1355C2×C4—44no—
1356C2×C4—48no—
1357C2×C4—44no—
1358C2×C4—48no—
1359C2×C4—44no—
1360C2×C4—48no—
1361C2×C4—44no—
1362C2×C4—48no—
1363C2×C4—88no—
1364C2×C4—88no—
1365C2×C4—84no—
1366C2×C4—84no—
1367C2×C4—84no—
1368C2×C4—82no—
1369C2×C4—82no—
1370C2×C4—82no—
1371C2×C4—82no—
1372C2×C4—84no—
1373C2×C4—84no—
1374C2×C4—82no—
1375C2×C4—82no—
1376C2×C4—84no—
1377C2×C4—84no—
1378C2×C4C22×#4114yes—
1379C2×C4C22×#4114yes—
1380C2×C4C22×#4112yes—
1381C2×C4C22×#4112yes—
1382C2×C4C22×#4112yes—
1383C2×C4C22×#4112yes—
1384C22—22no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—416no—
1403C22—44no—
1404C22—44no—
1405C22—44no—
1406C22—44no—
1407C22—44no—
1408C22—44no—
1409C22—44no—
1410C22—168no—
1411C22C2×#55614yes—
1412C22C2×#55614yes—
1413C22C2×#55614yes—
1414C22C23×#4111yescharacteristic
1415C22C23×#4111yescharacteristic
1416C22C22×2−1+411yescharacteristic
1417C22H(7,𝔽2)11yescharacteristic
1418C22H(7,𝔽2)11yescharacteristic
1419C22H(7,𝔽2)11yescharacteristic
1420C222−1+611yescharacteristic
1421C4—22no—
1422C4—22no—
1423C4—22no—
1424C4—22no—
1425C4—24no—
1426C4—24no—
1427C4—44no—
1428C4—44no—
1429C4—42no—
1430C4—42no—
1431C4—42no—
1432C4—44no—
1433C4—42no—
1434C4—44no—
1435C4—44no—
1436C4—44no—
1437C4—42no—
1438C4—42no—
1439C4—42no—
1440C4—42no—
1441C4—42no—
1442C4—42no—
1443C4—44no—
1444C2—24no—
1445C2—24no—
1446C2—24no—
1447C2—84no—
1448C2C22×#55611yescharacteristic
1449C2#6284411yescharacteristic
1450C2#6284611yescharacteristic
1451C2#6284711yescharacteristic
1452C2#6285611yescharacteristic
1453C2#6286411yescharacteristic
1454C2#6286511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#121C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #43600C2semidirect
2. #43599C2semidirect
3. #43177C2semidirect
4. #43176C2semidirect
5. #39799C2semidirect
6. #39798C2semidirect
7. #39797C2semidirect
8. #39796C2semidirect
9. #39760C2semidirect
10. #39759C2semidirect
11. #39755C2semidirect
12. #39755C2semidirect
13. #38235C2semidirect
14. #38234C2semidirect
15. #38233C2semidirect
16. #38232C2semidirect
17. #35370C2semidirect
18. #35349C2semidirect
20. #35011C2semidirect
21. #34995C2semidirect
23. #34251C2semidirect
24. #34212C2semidirect
26. C2×#2329C2semidirect
27. C2×#2329C2semidirect
33. #2857C22semidirect
34. #2857C22semidirect
35. #2852C22semidirect
36. #2852C22semidirect
39. #2810C22semidirect
40. #2808C22semidirect
41. #2805C22semidirect
42. #2800C22semidirect
43. #2800C22semidirect
44. #2798C22semidirect
45. #2798C22semidirect
46. #2793C22semidirect
47. #2793C22semidirect
48. #2789C22semidirect
49. #2788C22semidirect
50. #2787C22semidirect
51. #2786C22semidirect
52. #2783C22semidirect
53. #2777C22semidirect
54. #2776C22semidirect
55. #2776C22semidirect
56. #2775C22semidirect
57. #2767C22semidirect
58. #2762C22semidirect
59. #2759C22semidirect
60. #2759C22semidirect
61. #2759C22semidirect
62. #2758C22semidirect
63. #2745C22semidirect
64. #2740C22semidirect
65. #2727C22semidirect
66. #2716C22semidirect
67. #2716C22semidirect
68. #2715C22semidirect
69. #2700C22semidirect
70. #2689C22semidirect
71. #2659C22semidirect
72. #2659C22semidirect
73. #2643C22semidirect
74. #2643C22semidirect
83. #2605C22semidirect
84. #2604C22semidirect
85. #2601C22semidirect
86. #2599C22semidirect
87. #2594C22semidirect
89. #2588C22semidirect
91. #2583C22semidirect
92. #2579C22semidirect
93. #2579C22semidirect
94. #2577C22semidirect
96. #2560C22semidirect
97. #2533C22semidirect
98. #2533C22semidirect
99. #2532C22semidirect
100. #2528C22semidirect
101. #2527C22semidirect
102. #2527C22semidirect
103. #2524C22semidirect
104. #2523C22semidirect
105. #2523C22semidirect
106. #2521C22semidirect
107. #2514C22semidirect
108. #2510C22semidirect
109. #2510C22semidirect
110. #2510C22semidirect
111. #2510C22semidirect
112. #2510C22semidirect
113. #2510C22semidirect
114. #2509C22semidirect
118. #2502C22semidirect
119. #2499C22semidirect
120. #2496C22semidirect
125. #2492C22semidirect
126. #2487C22semidirect
127. #2485C22semidirect
128. #2481C22semidirect
129. #2481C22semidirect
130. #2481C22semidirect
131. #2481C22semidirect
132. #2481C22semidirect
133. #2481C22semidirect
138. #2478C22semidirect
139. #2474C22semidirect
140. #2469C22semidirect
141. #2466C22semidirect
142. #2466C22semidirect
143. #2465C22semidirect
144. #2450C22semidirect
145. #2450C22semidirect
146. #2449C22semidirect
147. #2449C22semidirect
148. #2439C22semidirect
156. #2434C22semidirect
157. #2415C22semidirect
158. #2409C22semidirect
163. #2368C22semidirect
167. #2360C22semidirect
168. #2360C22semidirect
169. #2353C22semidirect
170. #2353C22semidirect
171. #2352C22semidirect
172. #2352C22semidirect
187. #2329C22semidirect
188. #2329C22semidirect
189. #2329C22semidirect
190. #2329C22semidirect
191. #2329C22semidirect
192. #2329C22semidirect
193. #2329C22semidirect
194. #2329C22semidirect
197. #2318C22semidirect
198. #2318C22semidirect
205. C4×C22⋊Q8C22semidirect
206. C4×C22⋊Q8C22semidirect
209. C2×#391C22semidirect
210. C2×#391C22semidirect
211. C2×#391C22semidirect
212. C2×#389C22semidirect
213. C2×#389C22semidirect
214. C2×#389C22semidirect
215. #2290C22semidirect
216. #2290C22semidirect
217. C2×#387C22semidirect
218. C2×#387C22semidirect
219. C2×#387C22semidirect
220. C2×#387C22semidirect
221. C2×#387C22semidirect
222. C2×#387C22semidirect

Maximal subgroups

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

subgroupindex
#436002
#435992
#431772
#431762
#397992
#397982
#397972
#397962
#397602
#397592
#397552
#382352
#382342
#382332
#382322
#353702
#353492
#350192
#350112
#349952
C2×#26392
#342512
#342122
#342052
C2×#23292