Finite Group Databasebeta

← #8106042

Subgroups — #8106042

Order 512.

5570 conjugacy classes of subgroups.

The subgroup lattice has 1355 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52567C214yesmaximal, complemented
2#52547C214yesmaximal, complemented
3#52426C214yesmaximal, complemented
4#44021C214yesmaximal, complemented
5#43976C214yesmaximal, complemented
6#43509C212yesmaximal, complemented
7#43494C212yesmaximal, complemented
8#41974C214yesmaximal, complemented
9#41953C214yesmaximal, complemented
10#41388C212yesmaximal, complemented
11#41370C212yesmaximal, complemented
12#40844C214yesmaximal, complemented
13#40819C214yesmaximal, complemented
14#40663C212yesmaximal, complemented
15#40613C212yesmaximal, complemented
16#36546C212yesmaximal, complemented
17#36206C212yesmaximal, complemented
18#36158C214yesmaximal, complemented
19#35224C212yesmaximal, complemented
20#34989C212yesmaximal, complemented
21#34988C211yesmaximal, characteristic
22#34982C211yesmaximal, characteristic, complemented
23C22×#399C211yesmaximal, characteristic, complemented
24C2×#554C2212yescomplemented
25C2×#551C2214yes—
26C2×#544C2212yescomplemented
27C2×#543C2211yescharacteristic
28C2×#539C2212yescomplemented
29C2×#538C2211yescharacteristic
30C23×C4⋊C4C2212yes—
31C23×C4⋊C4C2211yescharacteristic
32C23×C22⋊C4C2212yes—
33C23×C22⋊C4C2211yescharacteristic
34#2849C2214yes—
35#2848C2214yes—
36#2848C2212yes—
37#2848C2211yescharacteristic
38#2848C2212yes—
39#2847C2211yescharacteristic
40#2846C2212yes—
41#2841C2214yescomplemented
42#2838C2214yescomplemented
43#2838C2214yescomplemented
44#2837C2214yescomplemented
45#2837C2214yescomplemented
46#2836C2214yescomplemented
47#2836C2214yescomplemented
48#2834C2212yescomplemented
49#2827C2214yescomplemented
50#2826C2212yescomplemented
51#2821C2212yescomplemented
52#2821C2214yescomplemented
53#2820C2214yescomplemented
54#2816C2212yescomplemented
55#2807C2212yescomplemented
56#2807C2212yescomplemented
57#2798C2214yescomplemented
58#2777C2214yescomplemented
59#2773C2214yescomplemented
60#2773C2214yescomplemented
61#2771C2214yescomplemented
62#2768C2214yescomplemented
63#2754C2214yescomplemented
64#2746C2214yescomplemented
65#2743C2214yescomplemented
66#2742C2212yescomplemented
67#2738C2214yescomplemented
68#2738C2214yescomplemented
69#2732C2214yescomplemented
70#2727C2214yescomplemented
71#2723C2214yescomplemented
72#2721C2214yescomplemented
73#2721C2214yescomplemented
74#2721C2214yescomplemented
75#2721C2214yescomplemented
76#2720C2214yescomplemented
77#2720C2214yescomplemented
78#2718C2214yescomplemented
79#2706C2214yescomplemented
80#2694C2214yescomplemented
81#2694C2214yescomplemented
82#2694C2214yescomplemented
83#2692C2214yescomplemented
84#2677C2214yescomplemented
85#2677C2212yescomplemented
86#2674C2214yescomplemented
87#2674C2214yescomplemented
88#2672C2214yescomplemented
89#2667C2214yescomplemented
90#2664C2214yescomplemented
91#2663C2212yescomplemented
92#2658C2212yescomplemented
93#2654C2214yescomplemented
94#2649C2214yescomplemented
95#2633C2214yescomplemented
96#2632C2212yescomplemented
97#2628C2214yescomplemented
98#2627C2214yescomplemented
99#2627C2212yescomplemented
100#2627C2212yescomplemented
101#2627C2212yescomplemented
102#2626C2212yes—
103#2626C2211yescharacteristic
104#2626C2212yes—
105#2623C2214yescomplemented
106#2623C2212yescomplemented
107#2622C2212yes—
108#2618C2212yescomplemented
109#2617C2211yescharacteristic
110#2611C2214yescomplemented
111#2604C2212yescomplemented
112#2583C2214yescomplemented
113#2579C2214yescomplemented
114#2575C2214yescomplemented
115#2569C2212yescomplemented
116#2564C2212yescomplemented
117#2561C2214yes—
118#2556C2214yescomplemented
119#2553C2214yescomplemented
120#2542C2214yescomplemented
121#2534C2214yes—
122#2519C2214yescomplemented
123#2517C2212yescomplemented
124#2510C2214yescomplemented
125#2505C2214yescomplemented
126#2502C2212yescomplemented
127#2501C2212yescomplemented
128#2498C2214yescomplemented
129#2493C2214yescomplemented
130#2493C2214yescomplemented
131#2488C2214yescomplemented
132#2487C2212yescomplemented
133#2483C2214yes—
134#2482C2214yes—
135#2481C2214yescomplemented
136#2481C2214yescomplemented
137#2480C2214yes—
138#2480C2214yes—
139#2480C2214yes—
140#2480C2214yes—
141#2480C2214yes—
142#2479C2214yescomplemented
143#2473C2214yescomplemented
144#2473C2214yescomplemented
145#2473C2214yescomplemented
146#2473C2214yescomplemented
147#2472C2214yes—
148#2472C2214yes—
149#2472C2214yes—
150#2455C2212yescomplemented
151#2449C2214yescomplemented
152#2449C2214yescomplemented
153#2449C2214yescomplemented
154#2449C2214yescomplemented
155#2449C2214yescomplemented
156#2443C2214yescomplemented
157#2443C2214yescomplemented
158#2442C2214yescomplemented
159#2442C2214yescomplemented
160#2442C2214yescomplemented
161#2442C2214yescomplemented
162#2441C2214yescomplemented
163#2440C2214yescomplemented
164#2440C2214yescomplemented
165#2440C2214yescomplemented
166#2440C2214yescomplemented
167#2440C2214yescomplemented
168#2438C2214yescomplemented
169#2437C2214yes—
170#2437C2214yes—
171#2437C2214yes—
172#2437C2214yes—
173#2437C2214yes—
174#2437C2214yes—
175#2424C2214yes—
176#2423C2214yescomplemented
177#2419C2214yescomplemented
178#2418C2214yes—
179#2418C2214yes—
180#2418C2214yes—
181#2417C2214yescomplemented
182#2412C2214yes—
183#2412C2214yes—
184#2412C2214yes—
185#2411C2214yes—
186C2×#399C2214yes—
187C2×#399C2214yes—
188C2×#399C2212yes—
189C2×#399C2212yes—
190C2×#399C2214yes—
191C2×#399C2212yes—
192C2×#399C2214yes—
193C2×#399C2212yes—
194#2368C2212yescomplemented
195#2360C2214yescomplemented
196#2359C2214yescomplemented
197#2358C2214yes—
198#2358C2214yes—
199#2353C2212yescomplemented
200D4×C4⋊C4C2214yescomplemented
201#2345C2212yescomplemented
202#2343C2214yescomplemented
203#2342C2214yes—
204#2342C2214yes—
205#2342C2214yes—
206#2322C2214yescomplemented
207#2321C2212yes—
208#2317C2214yescomplemented
209#2316C2212yescomplemented
210#2315C2212yes—
211#2315C2211yescharacteristic
212#2313C2212yescomplemented
213#2312C2211yescharacteristic
214C4×#120C2214yes—
215C4×#120C2212yes—
216#2280C2214yes—
217C2×#379C2212yes—
218C22×#95C2211yescharacteristic
219C26C2311yescharacteristic
220C24×C4C2312yes—
221C24×C4C2311yescharacteristic
222C24×C4C2311yescharacteristic
223C24×C4C2312yes—
224#554—48no—
225#551—416no—
226#544—48no—
227#543—44no—
228#539—48no—
229#538—44no—
230C2×C4⋊Q8C2312yescomplemented
231C2×C4⋊Q8C2314yescomplemented
232C2×C4⋊Q8C2314yescomplemented
233C2×#126C2312yes—
234C2×#126C2314yes—
235C2×#126C2314yes—
236C2×#126C2314yescomplemented
237C2×#125C2314yescomplemented
238C2×#125C2314yescomplemented
239C2×#125C2314yescomplemented
240C2×#125C2314yescomplemented
241C2×#124C2314yes—
242C2×#124C2312yes—
243C2×#123C2314yes—
244C2×#123C2314yes—
245C2×#123C2312yes—
246C2×#123C2314yes—
247C2×#123C2314yes—
248C2×#123C2314yescomplemented
249C2×C22⋊Q8C2312yes—
250C2×C22⋊Q8C2314yes—
251C2×C22⋊Q8C2314yes—
252C2×C22⋊Q8C2314yes—
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2312yes—
255C2×C22⋊Q8C2312yes—
256C2×C22⋊Q8C2312yes—
257C2×C22⋊Q8C2314yes—
258C2×C22⋊Q8C2312yes—
259C2×C22⋊Q8C2314yes—
260C2×C22⋊Q8C2314yes—
261C2×C22⋊Q8C2314yes—
262C2×C22⋊Q8C2312yescomplemented
263C2×C22⋊Q8C2314yescomplemented
264C2×C22⋊Q8C2314yescomplemented
265C2×#121C2312yes—
266C2×#121C2311yescharacteristic
267C2×#121C2312yes—
268C2×#120C2312yes—
269C2×#120C2312yes—
270C2×#120C2314yes—
271C2×#120C2312yes—
272C2×#120C2314yes—
273C2×C4×Q8C2312yescomplemented
274C2×C4×D4C2312yes—
275C2×C4×D4C2314yes—
276C2×C4×D4C2314yes—
277C2×C4×D4C2314yes—
278C2×C4×D4C2314yes—
279C2×C4×D4C2314yes—
280C2×#117C2314yes—
281C2×#117C2314yes—
282C2×#117C2314yes—
283C22×C4⋊C4—48no—
284C22×C4⋊C4—44no—
285C22×C4⋊C4C2312yes—
286C22×C4⋊C4C2312yes—
287C22×C4⋊C4C2312yes—
288C22×C4⋊C4C2312yes—
289C22×C4⋊C4C2312yes—
290C22×C4⋊C4C2314yes—
291C22×C4⋊C4C2312yes—
292C22×C4⋊C4C2314yes—
293C22×C4⋊C4C2314yes—
294C22×C4⋊C4C2314yes—
295C22×C4⋊C4C2314yes—
296C22×C4⋊C4C2314yes—
297C22×C4⋊C4C2312yescomplemented
298C22×C22⋊C4—44no—
299C22×C22⋊C4—48no—
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2312yes—
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2314yes—
304C22×C22⋊C4C2314yes—
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2312yes—
307C22×C22⋊C4C2314yes—
308C22×C22⋊C4C2314yes—
309C22×C22⋊C4C2314yes—
310C22×C22⋊C4C2314yes—
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2314yes—
313C22×C22⋊C4C2314yes—
314C22×C22⋊C4C2314yes—
315C22×C22⋊C4C2314yes—
316#401C2314yescomplemented
317#400C2312yescomplemented
318#400C2314yescomplemented
319#400C2314yescomplemented
320#400C2312yescomplemented
321#400C2314yescomplemented
322#400C2314yescomplemented
323#400C2314yescomplemented
324#400C2314yescomplemented
325#400C2312yescomplemented
326#400C2314yescomplemented
327#400C2314yescomplemented
328#400C2314yescomplemented
329#400C2314yescomplemented
330#400C2314yescomplemented
331#400C2314yescomplemented
332#399C2312yes—
333#399C2314yes—
334#399C2312yes—
335#399C2314yes—
336#399C2312yes—
337#399C2314yes—
338#399C2314yes—
339#399C2314yes—
340#399C2312yes—
341#399C2314yes—
342#399C2312yes—
343#399C2312yes—
344#399C2312yes—
345#399C2314yes—
346#399C2314yes—
347#399C2312yes—
348#399C2314yes—
349#399C2314yes—
350#399C2314yes—
351#399C2312yes—
352#399C2314yes—
353#399C2314yes—
354#399C2312yes—
355#399C2314yes—
356#399C2314yes—
357#399C2312yes—
358#399C2312yescomplemented
359#399C2312yescomplemented
360#399C2314yescomplemented
361#399C2314yescomplemented
362#399C2312yescomplemented
363#398C2314yescomplemented
364#398C2314yescomplemented
365#398C2314yescomplemented
366#398C2314yescomplemented
367#398C2314yescomplemented
368#398C2314yescomplemented
369#398C2314yescomplemented
370#398C2314yescomplemented
371#398C2314yescomplemented
372#398C2314yescomplemented
373#398C2314yescomplemented
374#398C2314yescomplemented
375#398C2314yescomplemented
376#398C2314yescomplemented
377#398C2314yescomplemented
378#398C2314yescomplemented
379#398C2314yescomplemented
380#398C2314yescomplemented
381#398C2314yescomplemented
382#398C2314yescomplemented
383#398C2314yescomplemented
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2312yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yescomplemented
398#397C2314yescomplemented
399#397C2314yescomplemented
400#397C2314yescomplemented
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yescomplemented
411#396C2314yescomplemented
412#396C2314yescomplemented
413#396C2314yescomplemented
414#395C2312yescomplemented
415#395C2314yescomplemented
416#395C2314yescomplemented
417#395C2314yescomplemented
418#395C2314yescomplemented
419#395C2314yescomplemented
420#395C2314yescomplemented
421#395C2314yescomplemented
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yescomplemented
432#393C2312yes—
433#393C2314yes—
434#393C2314yes—
435#393C2314yes—
436#393C2312yes—
437#393C2312yes—
438#393C2312yescomplemented
439#392C2312yes—
440#391C2314yescomplemented
441#391C2314yescomplemented
442#390C2314yes—
443#390C2314yes—
444#390C2314yes—
445#389C2314yescomplemented
446#389C2314yescomplemented
447#389C2314yescomplemented
448#389C2314yescomplemented
449#389C2314yescomplemented
450#389C2314yescomplemented
451#389C2314yescomplemented
452#389C2314yescomplemented
453#389C2314yescomplemented
454#389C2314yescomplemented
455#389C2314yescomplemented
456#389C2314yescomplemented
457#389C2314yescomplemented
458#389C2314yescomplemented
459#389C2314yescomplemented
460#389C2314yescomplemented
461#389C2314yescomplemented
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#388C2314yescomplemented
483#388C2314yescomplemented
484#388C2314yescomplemented
485#388C2314yescomplemented
486#388C2314yescomplemented
487#387C2314yescomplemented
488#387C2314yescomplemented
489#387C2314yescomplemented
490#387C2314yescomplemented
491#387C2314yescomplemented
492#387C2314yescomplemented
493#387C2314yescomplemented
494#387C2314yescomplemented
495#387C2314yescomplemented
496#387C2314yescomplemented
497#387C2314yescomplemented
498#387C2314yescomplemented
499#387C2314yescomplemented
500#387C2314yescomplemented
501#387C2314yescomplemented
502#387C2314yescomplemented
503#387C2314yescomplemented
504#387C2314yescomplemented
505#387C2314yescomplemented
506#386C2314yes—
507#386C2314yes—
508#386C2314yes—
509#386C2312yes—
510#386C2314yes—
511#386C2314yes—
512#386C2312yes—
513#386C2314yes—
514#386C2314yes—
515#386C2314yes—
516#386C2314yes—
517#386C2314yes—
518#386C2314yes—
519#386C2314yes—
520#386C2314yes—
521#386C2314yes—
522#385C2314yes—
523#385C2312yes—
524#385C2314yes—
525#385C2312yes—
526#385C2314yes—
527#385C2314yes—
528#385C2312yes—
529#385C2312yes—
530#385C2314yes—
531#385C2314yes—
532#385C2314yes—
533#385C2314yes—
534#385C2314yes—
535#385C2312yes—
536#385C2314yes—
537#385C2314yes—
538#385C2314yes—
539#385C2312yes—
540#385C2314yes—
541#385C2314yes—
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#385C2314yescomplemented
556#385C2314yescomplemented
557#385C2314yescomplemented
558#385C2314yescomplemented
559#385C2314yescomplemented
560#384C2314yescomplemented
561#384C2314yescomplemented
562#384C2314yescomplemented
563#383C2314yescomplemented
564#383C2312yescomplemented
565#382C2314yescomplemented
566#382C2314yescomplemented
567#382C2314yescomplemented
568#381C2314yes—
569#381C2314yes—
570#381C2314yes—
571#381C2314yes—
572#381C2314yes—
573#381C2314yes—
574#381C2312yescomplemented
575#380C2314yes—
576#380C2311yescharacteristic
577#380C2311yescharacteristic
578#380C2312yes—
579#380C2312yes—
580#380C2312yes—
581#380C2314yes—
582#380C2314yes—
583#380C2312yes—
584#380C2314yes—
585#380C2314yes—
586#380C2312yes—
587#380C2312yes—
588#380C2314yes—
589#380C2314yes—
590#380C2314yes—
591#380C2314yes—
592#380C2314yes—
593#380C2314yes—
594#380C2314yes—
595#380C2314yescomplemented
596#379C2314yes—
597#379C2314yes—
598#379C2312yes—
599#379C2312yes—
600#379C2312yes—
601#379C2314yes—
602#379C2314yes—
603#379C2314yes—
604#379C2314yes—
605C4×C4⋊C4C2314yescomplemented
606C4×C4⋊C4C2314yescomplemented
607C4×C22⋊C4C2314yes—
608C4×C22⋊C4C2312yes—
609C4×C22⋊C4C2314yes—
610C4×C22⋊C4C2314yes—
611C4×C22⋊C4C2314yes—
612C4×C22⋊C4C2314yes—
613C4×C22⋊C4C2314yes—
614C4×C22⋊C4C2314yes—
615C4×C22⋊C4C2314yes—
616C4×C22⋊C4C2314yes—
617C4×C22⋊C4C2314yes—
618C4×C22⋊C4C2312yescomplemented
619#376C2312yescomplemented
620C2×#95C2312yes—
621C2×#95C2314yes—
622C2×#95C2314yes—
623C2×#95C2312yes—
624C25—24no—
625C25—24no—
626C25—42no—
627C25—44no—
628C25—44no—
629C25C2411yescharacteristic
630C25C2414yes—
631C25C2411yescharacteristic
632C25C2411yescharacteristic
633C22×Q8C2412yes—
634C22×Q8C2412yes—
635C22×Q8C2414yes—
636C22×Q8C2411yescharacteristic
637C22×D4C2414yes—
638C22×D4C2412yes—
639C22×D4C2414yes—
640C22×D4C2412yes—
641C22×D4C2412yes—
642C22×D4C2411yescharacteristic
643C23×C4—28no—
644C23×C4—28no—
645C23×C4—24no—
646C23×C4—44no—
647C23×C4—44no—
648C23×C4—44no—
649C23×C4—42no—
650C23×C4—44no—
651C23×C4—44no—
652C23×C4—44no—
653C23×C4C2412yes—
654C23×C4C2414yes—
655C23×C4C2414yes—
656C23×C4C2414yes—
657C23×C4C2412yes—
658C23×C4C2414yes—
659C23×C4C2412yes—
660C23×C4C2414yes—
661C23×C4C2414yes—
662C23×C4C2411yescharacteristic
663C23×C4C2412yes—
664C23×C4C2411yescharacteristic
665C23×C4C2412yes—
666C23×C4C2412yes—
667C23×C4C2411yescharacteristic
668C23×C4C2412yes—
669C23×C4C2412yes—
670C23×C4C2412yes—
671C23×C4C2414yes—
672C23×C4C2411yescharacteristic
673C4⋊Q8—48no—
674C4⋊Q8—48no—
675C4⋊Q8—44no—
676#126—44no—
677#126—48no—
678#126—48no—
679#126—48no—
680#125—48no—
681#125—48no—
682#125—48no—
683#125—48no—
684#124—44no—
685#124—48no—
686#123—216no—
687#123—48no—
688#123—48no—
689#123—48no—
690#123—44no—
691#123—48no—
692C22⋊Q8—28no—
693C22⋊Q8—48no—
694C22⋊Q8—42no—
695C22⋊Q8—44no—
696C22⋊Q8—44no—
697C22⋊Q8—44no—
698C22⋊Q8—48no—
699C22⋊Q8—44no—
700C22⋊Q8—48no—
701C22⋊Q8—48no—
702C22⋊Q8—48no—
703C22⋊Q8—48no—
704C22⋊Q8—48no—
705C22⋊Q8—48no—
706C22⋊Q8—48no—
707C22⋊Q8—44no—
708#121—44no—
709#121—42no—
710#121—44no—
711#120—28no—
712#120—28no—
713#120—48no—
714#120—44no—
715#120—48no—
716C4×Q8—44no—
717C4×D4—28no—
718C4×D4—48no—
719C4×D4—48no—
720C4×D4—48no—
721C4×D4—48no—
722C4×D4—48no—
723#117—216no—
724#117—48no—
725#117—48no—
726C2×C4⋊C4—28no—
727C2×C4⋊C4—28no—
728C2×C4⋊C4—28no—
729C2×C4⋊C4—48no—
730C2×C4⋊C4—48no—
731C2×C4⋊C4—48no—
732C2×C4⋊C4—48no—
733C2×C4⋊C4—48no—
734C2×C4⋊C4—48no—
735C2×C4⋊C4—44no—
736C2×C4⋊C4—44no—
737C2×C4⋊C4—44no—
738C2×C4⋊C4—44no—
739C2×C4⋊C4C2412yes—
740C2×C4⋊C4C2414yes—
741C2×C4⋊C4C2414yes—
742C2×C4⋊C4C2412yes—
743C2×C4⋊C4C2414yes—
744C2×C4⋊C4C2414yes—
745C2×C4⋊C4C2414yes—
746C2×C4⋊C4C2412yes—
747C2×C4⋊C4C2414yes—
748C2×C4⋊C4C2414yes—
749C2×C4⋊C4C2414yes—
750C2×C4⋊C4C2412yes—
751C2×C4⋊C4C2414yes—
752C2×C4⋊C4C2414yes—
753C2×C4⋊C4C2412yes—
754C2×C4⋊C4C2414yes—
755C2×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2412yes—
759C2×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×C4⋊C4C2414yes—
762C2×C4⋊C4C2414yes—
763C2×C4⋊C4C2414yes—
764C2×C4⋊C4C2414yes—
765C2×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
769C2×C4⋊C4C2414yes—
770C2×C4⋊C4C2412yes—
771C2×C4⋊C4C2412yes—
772C2×C4⋊C4C2411yescharacteristic
773C2×C4⋊C4C2412yes—
774C2×C4⋊C4C2414yes—
775C2×C4⋊C4C2414yes—
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2414yes—
778C2×C4⋊C4C2414yes—
779C2×C4⋊C4C2412yes—
780C2×C4⋊C4C2414yes—
781C2×C4⋊C4C2412yes—
782C2×C4⋊C4C2414yes—
783C2×C4⋊C4C2414yes—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2412yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C22⋊C4—28no—
793C2×C22⋊C4—24no—
794C2×C22⋊C4—24no—
795C2×C22⋊C4—216no—
796C2×C22⋊C4—48no—
797C2×C22⋊C4—48no—
798C2×C22⋊C4—48no—
799C2×C22⋊C4—48no—
800C2×C22⋊C4—48no—
801C2×C22⋊C4—48no—
802C2×C22⋊C4—48no—
803C2×C22⋊C4—44no—
804C2×C22⋊C4—48no—
805C2×C22⋊C4—48no—
806C2×C22⋊C4—42no—
807C2×C22⋊C4—42no—
808C2×C22⋊C4C2414yes—
809C2×C22⋊C4C2412yes—
810C2×C22⋊C4C2414yes—
811C2×C22⋊C4C2414yes—
812C2×C22⋊C4C2412yes—
813C2×C22⋊C4C2414yes—
814C2×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2412yes—
822C2×C22⋊C4C2412yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2412yes—
826C2×C22⋊C4C2412yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2412yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2412yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2412yes—
834C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2412yes—
851C2×C22⋊C4C2412yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2412yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C42C2414yes—
860C2×C42C2414yes—
861C2×C42C2412yes—
862C2×C42C2414yes—
863C2×C42C2414yes—
864C2×C42C2414yes—
865C2×C42C2414yes—
866C2×C42C2414yes—
867C2×C42C2414yes—
868#95C2412yes—
869#95C2412yes—
870#95C2414yes—
871#95C2414yes—
872#95C2412yes—
873#95C2412yes—
874#95C2412yes—
875#95C2414yes—
876#95C2414yes—
877#95C2414yes—
878#95C2414yes—
879#95C2414yes—
880#95C2414yes—
881#95C2414yes—
882#95C2414yes—
883#95C2414yes—
884#95C2414yes—
885#95C2414yes—
886#95C2414yes—
887#95C2414yes—
888#95C2414yes—
889#95C2414yes—
890#95C2414yes—
891#95C2414yes—
892#95C2414yes—
893#95C2414yes—
894#95C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2412yes—
898#95C2414yes—
899#95C2414yes—
900#95C2414yes—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2412yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2412yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916C24—22no—
917C24—24no—
918C24—22no—
919C24—24no—
920C24—22no—
921C24—22no—
922C24—28no—
923C24—22no—
924C24—28no—
925C24—28no—
926C24—28no—
927C24—22no—
928C24—22no—
929C24—44no—
930C24—42no—
931C24—44no—
932C24—42no—
933C24—42no—
934C24—44no—
935C24—42no—
936C24—416no—
937C24—432no—
938C24—816no—
939C24—88no—
940C24—88no—
941C242−1+414yes—
942C242−1+414yes—
943C24C2512yes—
944C24C2512yes—
945C24C2512yes—
946C24C2511yescharacteristic
947C24C2512yes—
948C2×Q8—24no—
949C2×Q8—44no—
950C2×Q8—42no—
951C2×Q8—42no—
952C2×Q8—44no—
953C2×Q8—44no—
954C2×Q8—41no—
955C2×Q8—42no—
956C2×Q8—44no—
957C2×Q8—42no—
958C2×D4—24no—
959C2×D4—28no—
960C2×D4—28no—
961C2×D4—24no—
962C2×D4—24no—
963C2×D4—28no—
964C2×D4—28no—
965C2×D4—44no—
966C2×D4—44no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—44no—
970C2×D4—44no—
971C2×D4—41no—
972C2×D4—42no—
973C22×C4—24no—
974C22×C4—24no—
975C22×C4—22no—
976C22×C4—24no—
977C22×C4—28no—
978C22×C4—28no—
979C22×C4—24no—
980C22×C4—28no—
981C22×C4—24no—
982C22×C4—28no—
983C22×C4—22no—
984C22×C4—22no—
985C22×C4—24no—
986C22×C4—28no—
987C22×C4—24no—
988C22×C4—24no—
989C22×C4—24no—
990C22×C4—28no—
991C22×C4—28no—
992C22×C4—28no—
993C22×C4—28no—
994C22×C4—24no—
995C22×C4—44no—
996C22×C4—44no—
997C22×C4—42no—
998C22×C4—44no—
999C22×C4—42no—
1000C22×C4—42no—
1001C22×C4—44no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—44no—
1006C22×C4—44no—
1007C22×C4—44no—
1008C22×C4—44no—
1009C22×C4—42no—
1010C22×C4—44no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—44no—
1017C22×C4—44no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—44no—
1021C22×C4—44no—
1022C22×C4—44no—
1023C22×C4—44no—
1024C22×C4—432no—
1025C22×C4—416no—
1026C22×C4—816no—
1027C22×C4—88no—
1028C22×C4H(5,𝔽2)18yes—
1029C22×C4H(5,𝔽2)14yes—
1030C22×C4C2512yes—
1031C22×C4C2514yes—
1032C22×C4C2514yes—
1033C22×C4C2514yes—
1034C22×C4C2514yes—
1035C22×C4C2514yes—
1036C22×C4C2512yes—
1037C22×C4C2514yes—
1038C22×C4C2512yes—
1039C22×C4C2512yes—
1040C22×C4C2514yes—
1041C22×C4C2514yes—
1042C22×C4C2511yescharacteristic
1043C22×C4C2514yes—
1044C22×C4C2512yes—
1045C22×C4C2511yescharacteristic
1046C22×C4C2514yes—
1047C22×C4C2512yes—
1048C4⋊C4—24no—
1049C4⋊C4—28no—
1050C4⋊C4—28no—
1051C4⋊C4—24no—
1052C4⋊C4—28no—
1053C4⋊C4—28no—
1054C4⋊C4—28no—
1055C4⋊C4—24no—
1056C4⋊C4—28no—
1057C4⋊C4—28no—
1058C4⋊C4—28no—
1059C4⋊C4—24no—
1060C4⋊C4—28no—
1061C4⋊C4—28no—
1062C4⋊C4—44no—
1063C4⋊C4—44no—
1064C4⋊C4—42no—
1065C4⋊C4—44no—
1066C4⋊C4—44no—
1067C4⋊C4—42no—
1068C4⋊C4—44no—
1069C4⋊C4—44no—
1070C4⋊C4—44no—
1071C4⋊C4—44no—
1072C4⋊C4—44no—
1073C4⋊C4—44no—
1074C4⋊C4—44no—
1075C4⋊C4—44no—
1076C4⋊C4—44no—
1077C4⋊C4—44no—
1078C4⋊C4—44no—
1079C4⋊C4—42no—
1080C4⋊C4—42no—
1081C4⋊C4—41no—
1082C4⋊C4—44no—
1083C4⋊C4—44no—
1084C4⋊C4—44no—
1085C4⋊C4—42no—
1086C4⋊C4—44no—
1087C4⋊C4—44no—
1088C4⋊C4—41no—
1089C4⋊C4—44no—
1090C4⋊C4—44no—
1091C4⋊C4—42no—
1092C4⋊C4—44no—
1093C4⋊C4—42no—
1094C4⋊C4—44no—
1095C4⋊C4—44no—
1096C4⋊C4—44no—
1097C4⋊C4—44no—
1098C4⋊C4—42no—
1099C4⋊C4—44no—
1100C4⋊C4—44no—
1101C22⋊C4—28no—
1102C22⋊C4—28no—
1103C22⋊C4—28no—
1104C22⋊C4—28no—
1105C22⋊C4—24no—
1106C22⋊C4—24no—
1107C22⋊C4—24no—
1108C22⋊C4—28no—
1109C22⋊C4—28no—
1110C22⋊C4—28no—
1111C22⋊C4—24no—
1112C22⋊C4—24no—
1113C22⋊C4—28no—
1114C22⋊C4—28no—
1115C22⋊C4—28no—
1116C22⋊C4—28no—
1117C22⋊C4—24no—
1118C22⋊C4—28no—
1119C22⋊C4—28no—
1120C22⋊C4—24no—
1121C22⋊C4—28no—
1122C22⋊C4—28no—
1123C22⋊C4—24no—
1124C22⋊C4—28no—
1125C22⋊C4—28no—
1126C22⋊C4—44no—
1127C22⋊C4—44no—
1128C22⋊C4—42no—
1129C22⋊C4—44no—
1130C22⋊C4—44no—
1131C22⋊C4—42no—
1132C22⋊C4—44no—
1133C22⋊C4—44no—
1134C22⋊C4—44no—
1135C22⋊C4—44no—
1136C22⋊C4—44no—
1137C22⋊C4—44no—
1138C22⋊C4—44no—
1139C22⋊C4—44no—
1140C22⋊C4—44no—
1141C22⋊C4—44no—
1142C22⋊C4—44no—
1143C22⋊C4—44no—
1144C22⋊C4—44no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—44no—
1148C22⋊C4—44no—
1149C22⋊C4—42no—
1150C22⋊C4—44no—
1151C22⋊C4—44no—
1152C42—28no—
1153C42—28no—
1154C42—24no—
1155C42—44no—
1156C42—44no—
1157C42—44no—
1158C42—44no—
1159C42—44no—
1160C42—44no—
1161C23—28no—
1162C23—28no—
1163C23—216no—
1164C23—22no—
1165C23—22no—
1166C23—22no—
1167C23—22no—
1168C23—22no—
1169C23—22no—
1170C23—216no—
1171C23—28no—
1172C23—22no—
1173C23—24no—
1174C23—22no—
1175C23—24no—
1176C23—28no—
1177C23—24no—
1178C23—22no—
1179C23—24no—
1180C23—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—24no—
1186C23—24no—
1187C23—48no—
1188C23—416no—
1189C23—416no—
1190C23—416no—
1191C23—48no—
1192C23—416no—
1193C23—44no—
1194C23—84no—
1195C23—88no—
1196C23—84no—
1197C23—82no—
1198C23—82no—
1199C23—88no—
1200C23—82no—
1201C23—88no—
1202C23—82no—
1203C23—864no—
1204C23C2×H(5,𝔽2)14yes—
1205C23C2×H(5,𝔽2)12yes—
1206C23C2×2−1+414yes—
1207C23C2×2−1+414yes—
1208C23C2×2−1+412yes—
1209C23C2×2−1+412yes—
1210C23#58514yes—
1211C23C2611yescharacteristic
1212Q8—84no—
1213Q8—162no—
1214Q8—164no—
1215Q8—161no—
1216D4—416no—
1217D4—48no—
1218D4—88no—
1219D4—162no—
1220D4—161no—
1221D4—162no—
1222C2×C4—24no—
1223C2×C4—24no—
1224C2×C4—24no—
1225C2×C4—216no—
1226C2×C4—22no—
1227C2×C4—24no—
1228C2×C4—22no—
1229C2×C4—24no—
1230C2×C4—24no—
1231C2×C4—24no—
1232C2×C4—24no—
1233C2×C4—24no—
1234C2×C4—24no—
1235C2×C4—24no—
1236C2×C4—24no—
1237C2×C4—24no—
1238C2×C4—21no—
1239C2×C4—24no—
1240C2×C4—21no—
1241C2×C4—22no—
1242C2×C4—24no—
1243C2×C4—24no—
1244C2×C4—22no—
1245C2×C4—24no—
1246C2×C4—22no—
1247C2×C4—22no—
1248C2×C4—24no—
1249C2×C4—22no—
1250C2×C4—22no—
1251C2×C4—24no—
1252C2×C4—22no—
1253C2×C4—24no—
1254C2×C4—24no—
1255C2×C4—24no—
1256C2×C4—22no—
1257C2×C4—22no—
1258C2×C4—24no—
1259C2×C4—24no—
1260C2×C4—24no—
1261C2×C4—24no—
1262C2×C4—24no—
1263C2×C4—24no—
1264C2×C4—24no—
1265C2×C4—24no—
1266C2×C4—24no—
1267C2×C4—24no—
1268C2×C4—24no—
1269C2×C4—44no—
1270C2×C4—416no—
1271C2×C4—416no—
1272C2×C4—416no—
1273C2×C4—44no—
1274C2×C4—48no—
1275C2×C4—84no—
1276C2×C4—88no—
1277C2×C4—84no—
1278C2×C4—88no—
1279C2×C4—88no—
1280C2×C4—82no—
1281C2×C4—84no—
1282C2×C4—82no—
1283C2×C4—84no—
1284C2×C4—84no—
1285C2×C4—162no—
1286C2×C4—164no—
1287C2×C4—162no—
1288C2×C4C2×H(5,𝔽2)18yes—
1289C2×C4C2×H(5,𝔽2)14yes—
1290C22—232no—
1291C22—24no—
1292C22—24no—
1293C22—24no—
1294C22—24no—
1295C22—24no—
1296C22—24no—
1297C22—22no—
1298C22—24no—
1299C22—24no—
1300C22—22no—
1301C22—24no—
1302C22—28no—
1303C22—44no—
1304C22—42no—
1305C22—42no—
1306C22—44no—
1307C22—44no—
1308C22—42no—
1309C22—42no—
1310C22—44no—
1311C22—44no—
1312C22—42no—
1313C22—42no—
1314C22—42no—
1315C22—42no—
1316C22—88no—
1317C22—832no—
1318C22—88no—
1319C22#353518yes—
1320C22#353814yes—
1321C22C22×H(5,𝔽2)12yes—
1322C22C22×H(5,𝔽2)11yescharacteristic
1323C22C22×2−1+411yescharacteristic
1324C22C22×2−1+411yescharacteristic
1325C22C2×#58512yes—
1326C4—28no—
1327C4—24no—
1328C4—44no—
1329C4—44no—
1330C4—42no—
1331C4—44no—
1332C4—44no—
1333C4—44no—
1334C4—42no—
1335C4—42no—
1336C4—44no—
1337C4—44no—
1338C4—41no—
1339C4—41no—
1340C4—44no—
1341C4—42no—
1342C4—44no—
1343C4—42no—
1344C2—28no—
1345C2—24no—
1346C2—44no—
1347C2—82no—
1348C2—82no—
1349C2C2×#353512yes—
1350C2C2×#353811yescharacteristic
1351C2#6281912yes—
1352C2#6282011yescharacteristic
1353C2#6283211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34988C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52567C2semidirect
2. #52547C2semidirect
3. #52426C2semidirect
4. #44021C2semidirect
5. #43976C2semidirect
6. #43509C2semidirect
7. #43494C2semidirect
8. #41974C2semidirect
9. #41953C2semidirect
10. #41388C2semidirect
11. #41370C2semidirect
12. #40844C2semidirect
13. #40819C2semidirect
14. #40663C2semidirect
15. #40613C2semidirect
16. #36546C2semidirect
17. #36206C2semidirect
18. #36158C2semidirect
19. #35224C2semidirect
20. #34989C2semidirect
22. #34982C2semidirect
23. C22×#399C2semidirect
24. C2×#554C22semidirect
26. C2×#544C22semidirect
28. C2×#539C22semidirect
41. #2841C22semidirect
42. #2838C22semidirect
43. #2838C22semidirect
44. #2837C22semidirect
45. #2837C22semidirect
46. #2836C22semidirect
47. #2836C22semidirect
48. #2834C22semidirect
49. #2827C22semidirect
50. #2826C22semidirect
51. #2821C22semidirect
52. #2821C22semidirect
53. #2820C22semidirect
54. #2816C22semidirect
55. #2807C22semidirect
56. #2807C22semidirect
57. #2798C22semidirect
58. #2777C22semidirect
59. #2773C22semidirect
60. #2773C22semidirect
61. #2771C22semidirect
62. #2768C22semidirect
63. #2754C22semidirect
64. #2746C22semidirect
65. #2743C22semidirect
66. #2742C22semidirect
67. #2738C22semidirect
68. #2738C22semidirect
69. #2732C22semidirect
70. #2727C22semidirect
71. #2723C22semidirect
72. #2721C22semidirect
73. #2721C22semidirect
74. #2721C22semidirect
75. #2721C22semidirect
76. #2720C22semidirect
77. #2720C22semidirect
78. #2718C22semidirect
79. #2706C22semidirect
80. #2694C22semidirect
81. #2694C22semidirect
82. #2694C22semidirect
83. #2692C22semidirect
84. #2677C22semidirect
85. #2677C22semidirect
86. #2674C22semidirect
87. #2674C22semidirect
88. #2672C22semidirect
89. #2667C22semidirect
90. #2664C22semidirect
91. #2663C22semidirect
92. #2658C22semidirect
93. #2654C22semidirect
94. #2649C22semidirect
95. #2633C22semidirect
96. #2632C22semidirect
97. #2628C22semidirect
98. #2627C22semidirect
99. #2627C22semidirect
100. #2627C22semidirect
101. #2627C22semidirect
105. #2623C22semidirect
106. #2623C22semidirect
108. #2618C22semidirect
110. #2611C22semidirect
111. #2604C22semidirect
112. #2583C22semidirect
113. #2579C22semidirect
114. #2575C22semidirect
115. #2569C22semidirect
116. #2564C22semidirect
118. #2556C22semidirect
119. #2553C22semidirect
120. #2542C22semidirect
122. #2519C22semidirect
123. #2517C22semidirect
124. #2510C22semidirect
125. #2505C22semidirect
126. #2502C22semidirect
127. #2501C22semidirect
128. #2498C22semidirect
129. #2493C22semidirect
130. #2493C22semidirect
131. #2488C22semidirect
132. #2487C22semidirect
135. #2481C22semidirect
136. #2481C22semidirect
142. #2479C22semidirect
143. #2473C22semidirect
144. #2473C22semidirect
145. #2473C22semidirect
146. #2473C22semidirect
150. #2455C22semidirect
151. #2449C22semidirect
152. #2449C22semidirect
153. #2449C22semidirect
154. #2449C22semidirect
155. #2449C22semidirect
156. #2443C22semidirect
157. #2443C22semidirect
158. #2442C22semidirect
159. #2442C22semidirect
160. #2442C22semidirect
161. #2442C22semidirect
162. #2441C22semidirect
163. #2440C22semidirect
164. #2440C22semidirect
165. #2440C22semidirect
166. #2440C22semidirect
167. #2440C22semidirect
168. #2438C22semidirect
176. #2423C22semidirect
177. #2419C22semidirect
181. #2417C22semidirect
194. #2368C22semidirect
195. #2360C22semidirect
196. #2359C22semidirect
199. #2353C22semidirect
200. D4×C4⋊C4C22semidirect
201. #2345C22semidirect
202. #2343C22semidirect
206. #2322C22semidirect
208. #2317C22semidirect
209. #2316C22semidirect
212. #2313C22semidirect
230. C2×C4⋊Q8C23semidirect
231. C2×C4⋊Q8C23semidirect
232. C2×C4⋊Q8C23semidirect
236. C2×#126C23semidirect
237. C2×#125C23semidirect
238. C2×#125C23semidirect
239. C2×#125C23semidirect
240. C2×#125C23semidirect
248. C2×#123C23semidirect
262. C2×C22⋊Q8C23semidirect
263. C2×C22⋊Q8C23semidirect
264. C2×C22⋊Q8C23semidirect
273. C2×C4×Q8C23semidirect
297. C22×C4⋊C4C23semidirect
316. #401C23semidirect
317. #400C23semidirect
318. #400C23semidirect
319. #400C23semidirect
320. #400C23semidirect
321. #400C23semidirect
322. #400C23semidirect
323. #400C23semidirect
324. #400C23semidirect
325. #400C23semidirect
326. #400C23semidirect
327. #400C23semidirect
328. #400C23semidirect
329. #400C23semidirect
330. #400C23semidirect
331. #400C23semidirect
358. #399C23semidirect
359. #399C23semidirect
360. #399C23semidirect
361. #399C23semidirect
362. #399C23semidirect
363. #398C23semidirect
364. #398C23semidirect
365. #398C23semidirect
366. #398C23semidirect
367. #398C23semidirect
368. #398C23semidirect
369. #398C23semidirect
370. #398C23semidirect
371. #398C23semidirect
372. #398C23semidirect
373. #398C23semidirect
374. #398C23semidirect
375. #398C23semidirect
376. #398C23semidirect
377. #398C23semidirect
378. #398C23semidirect
379. #398C23semidirect
380. #398C23semidirect
381. #398C23semidirect
382. #398C23semidirect
383. #398C23semidirect
397. #397C23semidirect
398. #397C23semidirect
399. #397C23semidirect
400. #397C23semidirect
410. #396C23semidirect
411. #396C23semidirect
412. #396C23semidirect
413. #396C23semidirect
414. #395C23semidirect
415. #395C23semidirect
416. #395C23semidirect
417. #395C23semidirect
418. #395C23semidirect
419. #395C23semidirect
420. #395C23semidirect
421. #395C23semidirect
431. #394C23semidirect
438. #393C23semidirect
440. #391C23semidirect
441. #391C23semidirect
445. #389C23semidirect
446. #389C23semidirect
447. #389C23semidirect
448. #389C23semidirect
449. #389C23semidirect
450. #389C23semidirect
451. #389C23semidirect
452. #389C23semidirect
453. #389C23semidirect
454. #389C23semidirect
455. #389C23semidirect
456. #389C23semidirect
457. #389C23semidirect
458. #389C23semidirect
459. #389C23semidirect
460. #389C23semidirect
461. #389C23semidirect
482. #388C23semidirect
483. #388C23semidirect
484. #388C23semidirect
485. #388C23semidirect
486. #388C23semidirect
487. #387C23semidirect
488. #387C23semidirect
489. #387C23semidirect
490. #387C23semidirect
491. #387C23semidirect
492. #387C23semidirect
493. #387C23semidirect
494. #387C23semidirect
495. #387C23semidirect
496. #387C23semidirect
497. #387C23semidirect
498. #387C23semidirect
499. #387C23semidirect
500. #387C23semidirect
501. #387C23semidirect
502. #387C23semidirect
503. #387C23semidirect
504. #387C23semidirect
505. #387C23semidirect
555. #385C23semidirect
556. #385C23semidirect
557. #385C23semidirect
558. #385C23semidirect
559. #385C23semidirect
560. #384C23semidirect
561. #384C23semidirect
562. #384C23semidirect
563. #383C23semidirect
564. #383C23semidirect
565. #382C23semidirect
566. #382C23semidirect
567. #382C23semidirect
574. #381C23semidirect
595. #380C23semidirect
605. C4×C4⋊C4C23semidirect
606. C4×C4⋊C4C23semidirect
618. C4×C22⋊C4C23semidirect
619. #376C23semidirect

Maximal subgroups

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

subgroupindex
#525672
#525472
#524262
#440212
#439762
#435092
#434942
#419742
#419532
#413882
#413702
#408442
#408192
#406632
#406132
#365462
#362062
#361582
#352242
#349892
#349882
#349822
C22×#3992