Finite Group Databasebeta

← #7806698

Subgroups — #7806698

Order 512.

5190 conjugacy classes of subgroups.

The subgroup lattice has 1322 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#46434C212yesmaximal, complemented
2#46433C214yesmaximal, complemented
3#46431C212yesmaximal, complemented
4#45493C212yesmaximal, complemented
5#45492C214yesmaximal, complemented
6#45491C212yesmaximal, complemented
7#43123C214yesmaximal, complemented
8#43122C214yesmaximal, complemented
9#43055C214yesmaximal, complemented
10#43025C214yesmaximal, complemented
11#42490C214yesmaximal, complemented
12#40623C214yesmaximal, complemented
13#40623C214yesmaximal, complemented
14#40613C212yesmaximal, complemented
15#40612C214yesmaximal, complemented
16#40612C212yesmaximal, complemented
17#37475C211yesmaximal, characteristic, complemented
18C2×#2842C211yesmaximal, characteristic, complemented
19#35839C212yesmaximal, complemented
20#35836C212yesmaximal, complemented
21#34982C212yesmaximal, complemented
22#34356C212yesmaximal
23#34198C211yesmaximal, characteristic
24C2×#554C2212yescomplemented
25C2×#543C2212yescomplemented
26C22×#120C2211yescharacteristic
27C2×#518C2211yescharacteristic
28C23×C22⋊C4C2211yescharacteristic
29#2848C2214yescomplemented
30#2848C2214yescomplemented
31#2842C2214yes—
32#2842C2214yes—
33#2842C2211yescharacteristic, complemented
34#2842C2212yescomplemented
35#2842C2211yescharacteristic, complemented
36#2842C2212yescomplemented
37#2842C2212yescomplemented
38#2842C2212yescomplemented
39#2842C2211yescharacteristic, complemented
40#2842C2212yescomplemented
41#2841C2214yescomplemented
42#2841C2212yescomplemented
43#2840C2211yescharacteristic, complemented
44#2807C2212yescomplemented
45#2807C2212yescomplemented
46#2790C2214yescomplemented
47#2790C2214yescomplemented
48#2790C2214yescomplemented
49#2790C2214yescomplemented
50#2788C2214yescomplemented
51#2788C2214yescomplemented
52#2784C2214yescomplemented
53#2784C2214yescomplemented
54#2780C2214yescomplemented
55#2780C2214yescomplemented
56#2780C2214yescomplemented
57#2780C2214yescomplemented
58#2780C2214yescomplemented
59#2780C2214yescomplemented
60#2780C2214yescomplemented
61#2768C2214yescomplemented
62#2768C2214yescomplemented
63#2768C2214yescomplemented
64#2748C2214yescomplemented
65#2748C2214yescomplemented
66#2748C2214yescomplemented
67#2742C2212yescomplemented
68#2732C2214yescomplemented
69#2732C2214yescomplemented
70#2732C2214yescomplemented
71#2729C2214yescomplemented
72#2729C2214yescomplemented
73#2720C2214yescomplemented
74#2720C2214yescomplemented
75#2720C2214yescomplemented
76#2704C2214yescomplemented
77#2704C2214yescomplemented
78#2704C2214yescomplemented
79#2704C2214yescomplemented
80#2692C2214yescomplemented
81#2692C2214yescomplemented
82#2692C2214yescomplemented
83#2683C2214yescomplemented
84#2683C2214yescomplemented
85#2677C2212yescomplemented
86#2667C2214yescomplemented
87#2667C2214yescomplemented
88#2667C2214yescomplemented
89#2628C2214yescomplemented
90#2628C2212yescomplemented
91#2626C2214yes—
92#2626C2212yes—
93#2626C2212yes—
94#2626C2214yes—
95#2626C2214yes—
96#2626C2214yes—
97#2626C2214yescomplemented
98#2626C2212yescomplemented
99#2607C2212yescomplemented
100#2607C2214yescomplemented
101#2589C2214yescomplemented
102#2587C2214yescomplemented
103#2587C2214yescomplemented
104#2587C2214yescomplemented
105#2587C2214yescomplemented
106#2583C2214yescomplemented
107#2580C2212yescomplemented
108#2579C2214yescomplemented
109#2579C2214yescomplemented
110#2579C2214yescomplemented
111#2574C2214yescomplemented
112#2574C2214yescomplemented
113#2566C2214yescomplemented
114#2566C2214yescomplemented
115#2564C2212yescomplemented
116#2564C2212yescomplemented
117#2556C2214yescomplemented
118#2556C2214yescomplemented
119#2556C2214yescomplemented
120#2549C2212yescomplemented
121#2542C2212yescomplemented
122#2538C2214yescomplemented
123#2538C2214yescomplemented
124#2522C2214yescomplemented
125#2522C2214yescomplemented
126#2522C2214yescomplemented
127#2505C2214yescomplemented
128#2502C2212yescomplemented
129#2497C2214yescomplemented
130#2497C2214yescomplemented
131#2487C2212yescomplemented
132#2487C2212yescomplemented
133#2473C2214yescomplemented
134#2473C2214yescomplemented
135#2465C2214yescomplemented
136#2465C2214yescomplemented
137#2454C2214yescomplemented
138#2454C2214yescomplemented
139#2454C2214yescomplemented
140#2452C2214yescomplemented
141#2452C2214yescomplemented
142#2450C2214yescomplemented
143#2450C2214yescomplemented
144#2450C2214yescomplemented
145#2449C2214yescomplemented
146#2449C2214yescomplemented
147#2449C2214yescomplemented
148#2449C2214yescomplemented
149#2449C2214yescomplemented
150#2441C2214yescomplemented
151#2441C2214yescomplemented
152#2441C2214yescomplemented
153#2440C2214yescomplemented
154#2437C2214yes—
155#2437C2214yes—
156#2437C2214yes—
157#2437C2214yes—
158#2437C2214yescomplemented
159#2437C2214yescomplemented
160#2437C2214yescomplemented
161#2437C2214yescomplemented
162#2437C2212yescomplemented
163#2437C2212yescomplemented
164#2437C2214yescomplemented
165#2437C2214yescomplemented
166#2437C2212yescomplemented
167#2437C2214yescomplemented
168#2429C2214yescomplemented
169#2429C2214yescomplemented
170#2423C2214yescomplemented
171#2417C2214yescomplemented
172#2417C2214yescomplemented
173#2417C2214yescomplemented
174#2396C2212yescomplemented
175#2396C2214yescomplemented
176C2×#399C2212yes—
177C2×#399C2212yes—
178C2×#399C2212yescomplemented
179C2×#396C2214yescomplemented
180C2×#396C2214yescomplemented
181#2375C2214yes—
182#2375C2214yes—
183#2368C2212yescomplemented
184#2360C2214yescomplemented
185#2358C2214yes—
186#2358C2214yes—
187#2358C2214yes—
188#2358C2214yes—
189#2349C2212yescomplemented
190D4×C4⋊C4C2214yescomplemented
191#2345C2212yescomplemented
192#2342C2214yes—
193#2342C2214yes—
194#2342C2214yes—
195D4×C22⋊C4C2214yes—
196D4×C22⋊C4C2214yes—
197D4×C22⋊C4C2214yes—
198#2321C2214yes—
199#2321C2214yes—
200#2321C2214yes—
201#2321C2214yes—
202#2321C2212yes—
203#2321C2212yes—
204#2315C2211yescharacteristic
205#2315C2212yescomplemented
206#2315C2212yescomplemented
207#2315C2212yescomplemented
208#2312C2212yes—
209#2312C2212yes—
210#2309C2212yes—
211#2308C2212yes—
212#2308C2211yescharacteristic
213C4×#120C2212yes—
214C4×#120C2212yes—
215C2×#379C2212yes—
216C2×#379C2212yes—
217C2×#379C2211yescharacteristic
218#2273C2211yescharacteristic
219C26C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C23×D4C2312yes—
222C24×C4C2312yes—
223#554—48no—
224#543—48no—
225C2×C4⋊Q8C2312yescomplemented
226C2×C4⋊Q8C2314yescomplemented
227C2×#125C2314yescomplemented
228C2×#125C2314yescomplemented
229C2×#125C2314yescomplemented
230C2×C22⋊Q8C2314yes—
231C2×C22⋊Q8C2312yes—
232C2×C22⋊Q8C2314yes—
233C2×C22⋊Q8C2314yes—
234C2×C22⋊Q8C2314yes—
235C2×C22⋊Q8C2312yes—
236C2×C22⋊Q8C2314yes—
237C2×C22⋊Q8C2314yes—
238C2×C22⋊Q8C2314yes—
239C2×C22⋊Q8C2314yes—
240C2×C22⋊Q8C2314yes—
241C2×C22⋊Q8C2314yes—
242C2×C22⋊Q8C2314yes—
243C2×C22⋊Q8C2314yes—
244C2×C22⋊Q8C2312yescomplemented
245C2×C22⋊Q8C2314yescomplemented
246C2×C22⋊Q8C2314yescomplemented
247C2×C22⋊Q8C2314yescomplemented
248C2×C22⋊Q8C2314yescomplemented
249C2×#120Q8116yescomplemented
250C2×#120C2312yes—
251C2×#120C2314yes—
252C2×#120C2312yes—
253#518—44no—
254C2×C4×Q8C2312yescomplemented
255C2×C4×Q8C2314yescomplemented
256C2×C4×D4C2312yes—
257C2×C4×D4C2312yes—
258C2×C4×D4C2312yes—
259C2×C4×D4C2314yes—
260C2×C4×D4C2314yes—
261C2×C4×D4C2312yes—
262C2×C4×D4C2314yes—
263C2×C4×D4C2314yes—
264C2×C4×D4C2314yes—
265C2×C4×D4C2314yes—
266C2×#117C2312yes—
267C2×#117C2314yes—
268C22×C4⋊C4C2312yes—
269C22×C4⋊C4C2312yes—
270C22×C4⋊C4C2314yes—
271C22×C4⋊C4C2314yes—
272C22×C4⋊C4C2312yescomplemented
273C22×C4⋊C4C2314yescomplemented
274C22×C22⋊C4—44no—
275C22×C22⋊C4C2312yes—
276C22×C22⋊C4C2311yescharacteristic
277C22×C22⋊C4C2311yescharacteristic
278C22×C22⋊C4C2311yescharacteristic
279C22×C22⋊C4C2311yescharacteristic
280C22×C22⋊C4C2312yes—
281C22×C22⋊C4C2312yes—
282C22×C22⋊C4C2312yes—
283C22×C22⋊C4C2312yes—
284C22×C22⋊C4C2312yes—
285C22×C22⋊C4C2312yes—
286C22×C22⋊C4C2312yes—
287C22×C22⋊C4C2314yes—
288C22×C22⋊C4C2314yes—
289C22×C22⋊C4C2314yes—
290C22×C22⋊C4C2314yes—
291C22×C22⋊C4C2314yes—
292C22×C22⋊C4C2314yes—
293C22×C22⋊C4C2314yes—
294C22×C22⋊C4C2312yes—
295C22×C22⋊C4C2311yescharacteristic
296#400C2312yescomplemented
297#400C2312yescomplemented
298#400C2314yescomplemented
299#400C2314yescomplemented
300#400C2314yescomplemented
301#400C2314yescomplemented
302#400C2314yescomplemented
303#400C2314yescomplemented
304#400C2312yescomplemented
305#399C2312yes—
306#399C2312yes—
307#399C2312yes—
308#399C2312yes—
309#399C2314yes—
310#399C2312yes—
311#399C2312yes—
312#399C2314yes—
313#399C2314yes—
314#399C2314yes—
315#399C2312yes—
316#399C2312yes—
317#399C2312yes—
318#399C2314yes—
319#399C2312yes—
320#399C2314yes—
321#399C2314yes—
322#399C2312yes—
323#399C2314yes—
324#399C2312yes—
325#399C2314yes—
326#399C2314yes—
327#399C2312yescomplemented
328#399C2312yescomplemented
329#399C2314yescomplemented
330#399C2312yescomplemented
331#399C2314yescomplemented
332#398C2314yescomplemented
333#398C2314yescomplemented
334#398C2314yescomplemented
335#398C2314yescomplemented
336#398C2314yescomplemented
337#398C2314yescomplemented
338#398C2314yescomplemented
339#398C2314yescomplemented
340#398C2314yescomplemented
341#398C2314yescomplemented
342#398C2314yescomplemented
343#398C2314yescomplemented
344#398C2314yescomplemented
345#398C2314yescomplemented
346#398C2314yescomplemented
347#398C2314yescomplemented
348#398C2314yescomplemented
349#398C2314yescomplemented
350#398C2314yescomplemented
351#398C2314yescomplemented
352#398C2314yescomplemented
353#396C2314yes—
354#396C2314yes—
355#396C2314yes—
356#396C2314yes—
357#396C2314yes—
358#396C2314yes—
359#396C2314yes—
360#396C2314yes—
361#396C2314yes—
362#396C2314yes—
363#396C2314yes—
364#396C2314yes—
365#396C2314yes—
366#396C2314yes—
367#396C2314yes—
368#396C2314yes—
369#396C2314yes—
370#396C2314yes—
371#396C2314yes—
372#396C2314yes—
373#396C2314yes—
374#396C2314yes—
375#396C2314yes—
376#396C2314yes—
377#396C2314yes—
378#396C2314yes—
379#396C2314yes—
380#396C2314yes—
381#396C2314yes—
382#396C2314yes—
383#396C2314yes—
384#396C2314yes—
385#396C2314yescomplemented
386#396C2314yescomplemented
387#396C2314yescomplemented
388#396C2314yescomplemented
389#396C2314yescomplemented
390#396C2314yescomplemented
391#396C2314yescomplemented
392#395C2312yescomplemented
393#395C2314yescomplemented
394#395C2314yescomplemented
395#395C2314yescomplemented
396#395C2314yescomplemented
397#395C2314yescomplemented
398#395C2314yescomplemented
399#395C2314yescomplemented
400#393C2312yes—
401#393C2314yes—
402#393C2314yes—
403#393C2312yes—
404#393C2314yes—
405#393C2312yes—
406#393C2314yes—
407#393C2314yes—
408#393C2312yes—
409#393C2314yes—
410#393C2312yescomplemented
411#393C2314yescomplemented
412#391C2314yescomplemented
413#391C2314yescomplemented
414#391C2314yescomplemented
415#391C2314yescomplemented
416#391C2314yescomplemented
417#391C2314yescomplemented
418#390C2314yes—
419#390C2314yes—
420#390C2314yes—
421#390C2314yes—
422#390C2314yes—
423#390C2314yes—
424#390C2314yes—
425#390C2314yes—
426#390C2314yes—
427#390C2314yes—
428#389C2314yescomplemented
429#389C2314yescomplemented
430#389C2314yescomplemented
431#389C2314yescomplemented
432#389C2314yescomplemented
433#389C2314yescomplemented
434#389C2314yescomplemented
435#389C2314yescomplemented
436#389C2314yescomplemented
437#389C2314yescomplemented
438#389C2314yescomplemented
439#389C2314yescomplemented
440#389C2314yescomplemented
441#389C2314yescomplemented
442#389C2314yescomplemented
443#389C2314yescomplemented
444#389C2314yescomplemented
445#389C2314yescomplemented
446#389C2314yescomplemented
447#389C2314yescomplemented
448#389C2314yescomplemented
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#387C2314yescomplemented
470#387C2314yescomplemented
471#387C2314yescomplemented
472#387C2314yescomplemented
473#387C2314yescomplemented
474#387C2314yescomplemented
475#387C2314yescomplemented
476#387C2314yescomplemented
477#387C2314yescomplemented
478#387C2314yescomplemented
479#387C2314yescomplemented
480#387C2314yescomplemented
481#387C2314yescomplemented
482#387C2314yescomplemented
483#387C2314yescomplemented
484#387C2314yescomplemented
485#387C2314yescomplemented
486#387C2314yescomplemented
487#386C2314yes—
488#386C2314yes—
489#386C2312yes—
490#386C2312yes—
491#386C2314yes—
492#386C2314yes—
493#386C2314yes—
494#386C2314yes—
495#386C2314yes—
496#386C2314yes—
497#386C2314yes—
498#386C2314yes—
499#386C2314yes—
500#386C2314yes—
501#386C2314yes—
502#386C2314yes—
503#386C2314yes—
504#386C2314yes—
505#386C2314yes—
506#385C2314yes—
507#385C2314yes—
508#385C2314yes—
509#385C2314yes—
510#385C2314yes—
511#385C2312yes—
512#385C2312yes—
513#385C2314yes—
514#385C2314yes—
515#385C2314yes—
516#385C2314yes—
517#385C2314yes—
518#385C2314yes—
519#385C2314yes—
520#385C2314yes—
521#385C2314yes—
522#385C2314yes—
523#385C2314yes—
524#385C2314yes—
525#385C2314yes—
526#385C2314yes—
527#385C2314yes—
528#385C2314yes—
529#385C2314yes—
530#385C2314yes—
531#385C2314yes—
532#385C2314yes—
533#385C2314yes—
534#385C2314yes—
535#385C2314yes—
536#385C2314yes—
537#385C2314yes—
538#385C2314yes—
539#385C2314yes—
540#385C2314yes—
541#385C2314yescomplemented
542#385C2314yescomplemented
543#385C2314yescomplemented
544#385C2314yescomplemented
545#385C2314yescomplemented
546#385C2314yescomplemented
547#385C2314yescomplemented
548#385C2314yescomplemented
549#385C2314yescomplemented
550#384C2314yescomplemented
551#384C2314yescomplemented
552#384C2314yescomplemented
553#382C2314yescomplemented
554#382C2312yescomplemented
555#381C2312yes—
556#381C2314yes—
557#380C2314yes—
558#380C2314yes—
559#380C2314yes—
560#380C2314yes—
561#380C2314yes—
562#380C2314yes—
563#380C2314yes—
564#380C2314yes—
565#380C2314yes—
566#380C2314yes—
567#380C2314yes—
568#380C2314yes—
569#380C2314yes—
570#380C2314yes—
571#380C2312yes—
572#380C2312yes—
573#380C2314yes—
574#380C2314yescomplemented
575#380C2314yescomplemented
576#380C2314yescomplemented
577#380C2312yescomplemented
578#380C2314yescomplemented
579#379C2312yes—
580#379C2312yes—
581#379C2312yes—
582#379C2312yes—
583#379C2312yes—
584#379C2314yes—
585#379C2311yescharacteristic
586#379C2311yescharacteristic
587#379C2312yes—
588#379C2312yes—
589#379C2314yes—
590#379C2311yescharacteristic
591#379C2312yes—
592#379C2314yes—
593#379C2314yes—
594#379C2311yescharacteristic
595#379C2312yes—
596#379C2314yes—
597#379C2314yes—
598C4×C4⋊C4C2314yescomplemented
599C4×C4⋊C4C2314yescomplemented
600C4×C4⋊C4C2314yescomplemented
601C4×C4⋊C4C2312yescomplemented
602C4×C4⋊C4C2314yescomplemented
603C4×C22⋊C4C2314yes—
604C4×C22⋊C4C2314yes—
605C4×C22⋊C4C2314yes—
606C4×C22⋊C4C2314yes—
607C4×C22⋊C4C2314yes—
608C4×C22⋊C4C2314yes—
609C4×C22⋊C4C2312yes—
610C4×C22⋊C4C2314yes—
611C4×C22⋊C4C2312yes—
612C4×C22⋊C4C2314yes—
613C4×C22⋊C4C2314yes—
614C4×C22⋊C4C2312yes—
615C4×C22⋊C4C2312yes—
616C2×#95C2312yes—
617C2×#95C2312yes—
618C2×#95C2312yescomplemented
619C25—42no—
620C25—42no—
621C25—84no—
622C25C2×Q818yes—
623C25C2412yes—
624C25C2411yescharacteristic
625C25C2411yescharacteristic
626C25C2411yescharacteristic
627C25C2412yes—
628C25C2411yescharacteristic
629C22×Q8C2414yes—
630C22×Q8C2412yes—
631C22×Q8C2414yes—
632C22×Q8C2412yes—
633C22×D4—42no—
634C22×D4—42no—
635C22×D4—84no—
636C22×D4C2×Q818yes—
637C22×D4C2×Q8116yes—
638C22×D4C2412yes—
639C22×D4C2412yes—
640C22×D4C2414yes—
641C22×D4C2414yes—
642C23×C4—44no—
643C23×C4—84no—
644C23×C4C2412yes—
645C23×C4C2414yes—
646C23×C4C2414yes—
647C23×C4C2412yes—
648C23×C4C2412yes—
649C23×C4C2414yes—
650C23×C4C2412yes—
651C23×C4C2414yes—
652C23×C4C2414yes—
653C23×C4C2414yes—
654C23×C4C2412yes—
655C23×C4C2412yes—
656C23×C4C2414yes—
657C23×C4C2414yes—
658C23×C4C2411yescharacteristic
659C23×C4C2412yes—
660C4⋊Q8—44no—
661C4⋊Q8—84no—
662#125—48no—
663#125—84no—
664#125—84no—
665C22⋊Q8—216no—
666C22⋊Q8—44no—
667C22⋊Q8—48no—
668C22⋊Q8—44no—
669C22⋊Q8—48no—
670C22⋊Q8—48no—
671C22⋊Q8—48no—
672C22⋊Q8—48no—
673C22⋊Q8—44no—
674C22⋊Q8—48no—
675C22⋊Q8—84no—
676C22⋊Q8—84no—
677C22⋊Q8—84no—
678C22⋊Q8—84no—
679C22⋊Q8—84no—
680C22⋊Q8—84no—
681C22⋊Q8—84no—
682C22⋊Q8—84no—
683C22⋊Q8—84no—
684#120C2×Q8132yes—
685#120C2×Q8116yes—
686#120C2×Q8116yes—
687C4×Q8—44no—
688C4×Q8—84no—
689C4×D4—28no—
690C4×D4—44no—
691C4×D4—44no—
692C4×D4—48no—
693C4×D4—44no—
694C4×D4—48no—
695C4×D4—84no—
696C4×D4—84no—
697C4×D4—84no—
698C4×D4—84no—
699#117—44no—
700#117—84no—
701C2×C4⋊C4—44no—
702C2×C4⋊C4—44no—
703C2×C4⋊C4—44no—
704C2×C4⋊C4—84no—
705C2×C4⋊C4—84no—
706C2×C4⋊C4—84no—
707C2×C4⋊C4C2414yes—
708C2×C4⋊C4C2412yes—
709C2×C4⋊C4C2414yes—
710C2×C4⋊C4C2414yes—
711C2×C4⋊C4C2412yes—
712C2×C4⋊C4C2414yes—
713C2×C4⋊C4C2414yes—
714C2×C4⋊C4C2414yes—
715C2×C4⋊C4C2412yes—
716C2×C4⋊C4C2414yes—
717C2×C4⋊C4C2414yes—
718C2×C4⋊C4C2414yes—
719C2×C4⋊C4C2414yes—
720C2×C4⋊C4C2414yes—
721C2×C4⋊C4C2414yes—
722C2×C4⋊C4C2412yes—
723C2×C4⋊C4C2414yes—
724C2×C4⋊C4C2412yes—
725C2×C4⋊C4C2412yes—
726C2×C4⋊C4C2414yes—
727C2×C4⋊C4C2414yes—
728C2×C4⋊C4C2414yes—
729C2×C4⋊C4C2412yes—
730C2×C4⋊C4C2414yes—
731C2×C4⋊C4C2414yes—
732C2×C4⋊C4C2414yes—
733C2×C4⋊C4C2414yes—
734C2×C4⋊C4C2414yes—
735C2×C4⋊C4C2414yes—
736C2×C4⋊C4C2414yes—
737C2×C4⋊C4C2414yes—
738C2×C4⋊C4C2414yes—
739C2×C4⋊C4C2414yes—
740C2×C4⋊C4C2414yes—
741C2×C4⋊C4C2414yes—
742C2×C4⋊C4C2414yes—
743C2×C4⋊C4C2414yes—
744C2×C4⋊C4C2414yes—
745C2×C4⋊C4C2414yes—
746C2×C4⋊C4C2414yes—
747C2×C4⋊C4C2414yes—
748C2×C4⋊C4C2414yes—
749C2×C4⋊C4C2414yes—
750C2×C4⋊C4C2414yes—
751C2×C4⋊C4C2414yes—
752C2×C4⋊C4C2414yes—
753C2×C4⋊C4C2414yes—
754C2×C4⋊C4C2414yes—
755C2×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2412yes—
759C2×C22⋊C4—24no—
760C2×C22⋊C4—28no—
761C2×C22⋊C4—48no—
762C2×C22⋊C4—44no—
763C2×C22⋊C4—44no—
764C2×C22⋊C4—44no—
765C2×C22⋊C4—42no—
766C2×C22⋊C4—44no—
767C2×C22⋊C4—44no—
768C2×C22⋊C4—44no—
769C2×C22⋊C4—42no—
770C2×C22⋊C4—42no—
771C2×C22⋊C4—44no—
772C2×C22⋊C4—84no—
773C2×C22⋊C4—84no—
774C2×C22⋊C4—84no—
775C2×C22⋊C4—84no—
776C2×C22⋊C4—84no—
777C2×C22⋊C4—84no—
778C2×C22⋊C4C2×Q818yes—
779C2×C22⋊C4C2×Q8116yes—
780C2×C22⋊C4C2412yes—
781C2×C22⋊C4C2411yescharacteristic
782C2×C22⋊C4C2412yes—
783C2×C22⋊C4C2414yes—
784C2×C22⋊C4C2412yes—
785C2×C22⋊C4C2414yes—
786C2×C22⋊C4C2414yes—
787C2×C22⋊C4C2412yes—
788C2×C22⋊C4C2414yes—
789C2×C22⋊C4C2412yes—
790C2×C22⋊C4C2414yes—
791C2×C22⋊C4C2414yes—
792C2×C22⋊C4C2414yes—
793C2×C22⋊C4C2414yes—
794C2×C22⋊C4C2411yescharacteristic
795C2×C22⋊C4C2411yescharacteristic
796C2×C22⋊C4C2412yes—
797C2×C22⋊C4C2414yes—
798C2×C22⋊C4C2414yes—
799C2×C22⋊C4C2414yes—
800C2×C22⋊C4C2414yes—
801C2×C22⋊C4C2412yes—
802C2×C22⋊C4C2412yes—
803C2×C22⋊C4C2412yes—
804C2×C22⋊C4C2414yes—
805C2×C22⋊C4C2412yes—
806C2×C22⋊C4C2414yes—
807C2×C22⋊C4C2414yes—
808C2×C22⋊C4C2414yes—
809C2×C22⋊C4C2414yes—
810C2×C22⋊C4C2414yes—
811C2×C22⋊C4C2414yes—
812C2×C22⋊C4C2414yes—
813C2×C22⋊C4C2414yes—
814C2×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2412yes—
821C2×C22⋊C4C2411yescharacteristic
822C2×C22⋊C4C2411yescharacteristic
823C2×C22⋊C4C2412yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2412yes—
826C2×C22⋊C4C2412yes—
827C2×C22⋊C4C2412yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2412yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2412yes—
838C2×C22⋊C4C2411yescharacteristic
839C2×C42C2412yes—
840C2×C42C2412yes—
841C2×C42C2414yes—
842C2×C42C2414yes—
843C2×C42C2414yes—
844C2×C42C2414yes—
845C2×C42C2414yes—
846C2×C42C2414yes—
847C2×C42C2414yes—
848C2×C42C2414yes—
849#95C2412yes—
850#95C2412yes—
851#95C2412yes—
852#95C2414yes—
853#95C2414yes—
854#95C2412yes—
855#95C2412yes—
856#95C2414yes—
857#95C2414yes—
858#95C2414yes—
859#95C2414yes—
860#95C2414yes—
861#95C2414yes—
862#95C2414yes—
863#95C2414yes—
864#95C2414yes—
865#95C2414yes—
866#95C2414yes—
867#95C2414yes—
868#95C2414yes—
869#95C2414yes—
870#95C2414yes—
871#95C2414yes—
872#95C2414yes—
873#95C2414yes—
874#95C2414yes—
875#95C2414yes—
876#95C2414yes—
877#95C2414yes—
878#95C2414yes—
879#95C2412yes—
880#95C2414yes—
881#95C2414yes—
882#95C2414yes—
883#95C2412yes—
884#95C2414yes—
885#95C2414yes—
886#95C2414yes—
887#95C2414yes—
888#95C2412yes—
889#95C2414yes—
890#95C2414yes—
891#95C2414yes—
892#95C2414yes—
893C24—24no—
894C24—22no—
895C24—24no—
896C24—22no—
897C24—41no—
898C24—44no—
899C24—41no—
900C24—41no—
901C24—42no—
902C24—44no—
903C24—44no—
904C24—44no—
905C24—44no—
906C24—44no—
907C24—44no—
908C24—416no—
909C24—42no—
910C24—41no—
911C24—41no—
912C24—44no—
913C24—41no—
914C24—816no—
915C24—816no—
916C24—816no—
917C24C22×Q814yes—
918C24C22×Q818yes—
919C24C22×Q818yes—
920C24C22×Q814yes—
921C24C22×Q814yes—
922C24C22×Q814yes—
923C24C2511yescharacteristic
924C24C2512yes—
925C24C2512yes—
926C24C2511yescharacteristic
927C24C2512yes—
928C24C2511yescharacteristic
929C2×Q8—28no—
930C2×Q8—42no—
931C2×Q8—44no—
932C2×Q8—44no—
933C2×Q8—44no—
934C2×Q8—44no—
935C2×Q8—42no—
936C2×Q8—44no—
937C2×Q8—44no—
938C2×Q8—44no—
939C2×D4—24no—
940C2×D4—24no—
941C2×D4—42no—
942C2×D4—44no—
943C2×D4—44no—
944C2×D4—44no—
945C2×D4—44no—
946C2×D4—42no—
947C2×D4—416no—
948C2×D4—816no—
949C2×D4C22×Q818yes—
950C2×D4C22×Q818yes—
951C2×D4C22×Q8116yes—
952C2×D4C22×Q8116yes—
953C22×C4—24no—
954C22×C4—28no—
955C22×C4—28no—
956C22×C4—24no—
957C22×C4—24no—
958C22×C4—28no—
959C22×C4—24no—
960C22×C4—41no—
961C22×C4—44no—
962C22×C4—41no—
963C22×C4—44no—
964C22×C4—42no—
965C22×C4—44no—
966C22×C4—44no—
967C22×C4—44no—
968C22×C4—44no—
969C22×C4—44no—
970C22×C4—44no—
971C22×C4—44no—
972C22×C4—44no—
973C22×C4—44no—
974C22×C4—44no—
975C22×C4—44no—
976C22×C4—44no—
977C22×C4—44no—
978C22×C4—44no—
979C22×C4—44no—
980C22×C4—44no—
981C22×C4—42no—
982C22×C4—44no—
983C22×C4—44no—
984C22×C4—44no—
985C22×C4—44no—
986C22×C4—44no—
987C22×C4—44no—
988C22×C4—44no—
989C22×C4—44no—
990C22×C4—44no—
991C22×C4—44no—
992C22×C4—816no—
993C22×C4C22×Q814yes—
994C22×C4C22×Q818yes—
995C22×C4C2514yes—
996C22×C4C2512yes—
997C22×C4C2512yes—
998C22×C4C2514yes—
999C22×C4C2514yes—
1000C22×C4C2514yes—
1001C22×C4C2514yes—
1002C22×C4C2512yes—
1003C22×C4C2514yes—
1004C22×C4C2512yes—
1005C22×C4C2514yes—
1006C22×C4C2514yes—
1007C22×C4C2514yes—
1008C22×C4C2512yes—
1009C22×C4C2512yes—
1010C22×C4C2514yes—
1011C22×C4C2512yes—
1012C4⋊C4—28no—
1013C4⋊C4—24no—
1014C4⋊C4—28no—
1015C4⋊C4—28no—
1016C4⋊C4—42no—
1017C4⋊C4—42no—
1018C4⋊C4—44no—
1019C4⋊C4—42no—
1020C4⋊C4—44no—
1021C4⋊C4—42no—
1022C4⋊C4—42no—
1023C4⋊C4—44no—
1024C4⋊C4—44no—
1025C4⋊C4—44no—
1026C4⋊C4—44no—
1027C4⋊C4—44no—
1028C4⋊C4—44no—
1029C4⋊C4—44no—
1030C4⋊C4—44no—
1031C4⋊C4—44no—
1032C4⋊C4—44no—
1033C4⋊C4—44no—
1034C4⋊C4—42no—
1035C4⋊C4—44no—
1036C4⋊C4—44no—
1037C4⋊C4—44no—
1038C4⋊C4—44no—
1039C4⋊C4—44no—
1040C4⋊C4—44no—
1041C4⋊C4—44no—
1042C4⋊C4—44no—
1043C4⋊C4—44no—
1044C4⋊C4—44no—
1045C4⋊C4—42no—
1046C4⋊C4—44no—
1047C4⋊C4—44no—
1048C4⋊C4—44no—
1049C4⋊C4—44no—
1050C4⋊C4—44no—
1051C4⋊C4—44no—
1052C4⋊C4—44no—
1053C4⋊C4—44no—
1054C4⋊C4—44no—
1055C4⋊C4—44no—
1056C4⋊C4—44no—
1057C4⋊C4—44no—
1058C4⋊C4—44no—
1059C4⋊C4—44no—
1060C4⋊C4—44no—
1061C4⋊C4—44no—
1062C4⋊C4—44no—
1063C4⋊C4—44no—
1064C22⋊C4—22no—
1065C22⋊C4—24no—
1066C22⋊C4—28no—
1067C22⋊C4—28no—
1068C22⋊C4—24no—
1069C22⋊C4—28no—
1070C22⋊C4—24no—
1071C22⋊C4—44no—
1072C22⋊C4—42no—
1073C22⋊C4—42no—
1074C22⋊C4—42no—
1075C22⋊C4—42no—
1076C22⋊C4—44no—
1077C22⋊C4—42no—
1078C22⋊C4—42no—
1079C22⋊C4—41no—
1080C22⋊C4—42no—
1081C22⋊C4—41no—
1082C22⋊C4—41no—
1083C22⋊C4—42no—
1084C22⋊C4—41no—
1085C22⋊C4—42no—
1086C22⋊C4—42no—
1087C22⋊C4—44no—
1088C22⋊C4—42no—
1089C22⋊C4—42no—
1090C22⋊C4—44no—
1091C22⋊C4—44no—
1092C22⋊C4—44no—
1093C22⋊C4—44no—
1094C22⋊C4—44no—
1095C22⋊C4—44no—
1096C22⋊C4—44no—
1097C22⋊C4—44no—
1098C22⋊C4—44no—
1099C22⋊C4—44no—
1100C22⋊C4—44no—
1101C22⋊C4—44no—
1102C22⋊C4—44no—
1103C22⋊C4—44no—
1104C22⋊C4—44no—
1105C22⋊C4—44no—
1106C22⋊C4—44no—
1107C22⋊C4—44no—
1108C22⋊C4—44no—
1109C22⋊C4—44no—
1110C22⋊C4—44no—
1111C22⋊C4—44no—
1112C22⋊C4—44no—
1113C22⋊C4—44no—
1114C22⋊C4—44no—
1115C22⋊C4—44no—
1116C22⋊C4—44no—
1117C22⋊C4—44no—
1118C22⋊C4C22×Q8116yes—
1119C22⋊C4C22×Q8116yes—
1120C22⋊C4C22×Q818yes—
1121C22⋊C4C22×Q818yes—
1122C22⋊C4H(5,𝔽2)14yes—
1123C42—24no—
1124C42—42no—
1125C42—44no—
1126C42—44no—
1127C42—44no—
1128C42—44no—
1129C42—44no—
1130C42—44no—
1131C42—44no—
1132C42—44no—
1133C23—24no—
1134C23—22no—
1135C23—21no—
1136C23—22no—
1137C23—22no—
1138C23—21no—
1139C23—22no—
1140C23—22no—
1141C23—22no—
1142C23—21no—
1143C23—21no—
1144C23—24no—
1145C23—24no—
1146C23—24no—
1147C23—24no—
1148C23—24no—
1149C23—24no—
1150C23—24no—
1151C23—24no—
1152C23—28no—
1153C23—216no—
1154C23—44no—
1155C23—48no—
1156C23—48no—
1157C23—48no—
1158C23—44no—
1159C23—48no—
1160C23—48no—
1161C23—48no—
1162C23—48no—
1163C23—48no—
1164C23—44no—
1165C23—48no—
1166C23—48no—
1167C23—48no—
1168C23—88no—
1169C23—84no—
1170C23—88no—
1171C23—84no—
1172C23—84no—
1173C23—88no—
1174C23—84no—
1175C23—88no—
1176C23—864no—
1177C23—162no—
1178C23—162no—
1179C23C23×Q812yes—
1180C23C23×Q814yes—
1181C23C23×Q814yes—
1182C23C23×Q812yes—
1183C23C23×Q814yes—
1184C23C23×Q812yes—
1185C23C2×H(5,𝔽2)12yes—
1186C23#58512yes—
1187C23C2611yescharacteristic
1188Q8—88no—
1189Q8—84no—
1190Q8—164no—
1191Q8—162no—
1192D4—216no—
1193D4—48no—
1194D4—416no—
1195D4—416no—
1196C2×C4—22no—
1197C2×C4—22no—
1198C2×C4—24no—
1199C2×C4—24no—
1200C2×C4—24no—
1201C2×C4—22no—
1202C2×C4—22no—
1203C2×C4—24no—
1204C2×C4—22no—
1205C2×C4—24no—
1206C2×C4—24no—
1207C2×C4—24no—
1208C2×C4—24no—
1209C2×C4—24no—
1210C2×C4—24no—
1211C2×C4—24no—
1212C2×C4—24no—
1213C2×C4—22no—
1214C2×C4—22no—
1215C2×C4—24no—
1216C2×C4—24no—
1217C2×C4—24no—
1218C2×C4—24no—
1219C2×C4—24no—
1220C2×C4—24no—
1221C2×C4—24no—
1222C2×C4—24no—
1223C2×C4—24no—
1224C2×C4—24no—
1225C2×C4—24no—
1226C2×C4—24no—
1227C2×C4—24no—
1228C2×C4—24no—
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—44no—
1239C2×C4—48no—
1240C2×C4—84no—
1241C2×C4—84no—
1242C2×C4—88no—
1243C2×C4—84no—
1244C2×C4—88no—
1245C2×C4—88no—
1246C2×C4—84no—
1247C2×C4—88no—
1248C2×C4—88no—
1249C2×C4—84no—
1250C2×C4—162no—
1251C2×C4—164no—
1252C2×C4—164no—
1253C2×C4—164no—
1254C2×C4C23×Q814yes—
1255C2×C4C23×Q818yes—
1256C2×C4C2×H(5,𝔽2)14yes—
1257C22—24no—
1258C22—24no—
1259C22—24no—
1260C22—22no—
1261C22—24no—
1262C22—22no—
1263C22—24no—
1264C22—24no—
1265C22—24no—
1266C22—24no—
1267C22—24no—
1268C22—28no—
1269C22—24no—
1270C22—24no—
1271C22—24no—
1272C22—416no—
1273C22—44no—
1274C22—42no—
1275C22—42no—
1276C22—42no—
1277C22—44no—
1278C22—42no—
1279C22—44no—
1280C22—44no—
1281C22—44no—
1282C22—42no—
1283C22—42no—
1284C22—816no—
1285C22—88no—
1286C22—88no—
1287C22—816no—
1288C22—164no—
1289C22#350114yes—
1290C22C24×Q811yescharacteristic
1291C22C22×H(5,𝔽2)11yescharacteristic
1292C22C2×#58511yescharacteristic
1293C22H(7,𝔽2)14yes—
1294C4—24no—
1295C4—24no—
1296C4—28no—
1297C4—42no—
1298C4—44no—
1299C4—42no—
1300C4—42no—
1301C4—44no—
1302C4—44no—
1303C4—44no—
1304C4—44no—
1305C4—44no—
1306C4—42no—
1307C4—44no—
1308C4—44no—
1309C4—42no—
1310C4—44no—
1311C2—24no—
1312C2—42no—
1313C2—44no—
1314C2—44no—
1315C2—42no—
1316C2—44no—
1317C2C2×#350111yescharacteristic
1318C2#6284312yes—
1319C2#6304112yes—
1320C2#6304212yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#120C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #46434C2semidirect
2. #46433C2semidirect
3. #46431C2semidirect
4. #45493C2semidirect
5. #45492C2semidirect
6. #45491C2semidirect
7. #43123C2semidirect
8. #43122C2semidirect
9. #43055C2semidirect
10. #43025C2semidirect
11. #42490C2semidirect
12. #40623C2semidirect
13. #40623C2semidirect
14. #40613C2semidirect
15. #40612C2semidirect
16. #40612C2semidirect
17. #37475C2semidirect
18. C2×#2842C2semidirect
19. #35839C2semidirect
20. #35836C2semidirect
21. #34982C2semidirect
24. C2×#554C22semidirect
25. C2×#543C22semidirect
29. #2848C22semidirect
30. #2848C22semidirect
33. #2842C22semidirect
34. #2842C22semidirect
35. #2842C22semidirect
36. #2842C22semidirect
37. #2842C22semidirect
38. #2842C22semidirect
39. #2842C22semidirect
40. #2842C22semidirect
41. #2841C22semidirect
42. #2841C22semidirect
43. #2840C22semidirect
44. #2807C22semidirect
45. #2807C22semidirect
46. #2790C22semidirect
47. #2790C22semidirect
48. #2790C22semidirect
49. #2790C22semidirect
50. #2788C22semidirect
51. #2788C22semidirect
52. #2784C22semidirect
53. #2784C22semidirect
54. #2780C22semidirect
55. #2780C22semidirect
56. #2780C22semidirect
57. #2780C22semidirect
58. #2780C22semidirect
59. #2780C22semidirect
60. #2780C22semidirect
61. #2768C22semidirect
62. #2768C22semidirect
63. #2768C22semidirect
64. #2748C22semidirect
65. #2748C22semidirect
66. #2748C22semidirect
67. #2742C22semidirect
68. #2732C22semidirect
69. #2732C22semidirect
70. #2732C22semidirect
71. #2729C22semidirect
72. #2729C22semidirect
73. #2720C22semidirect
74. #2720C22semidirect
75. #2720C22semidirect
76. #2704C22semidirect
77. #2704C22semidirect
78. #2704C22semidirect
79. #2704C22semidirect
80. #2692C22semidirect
81. #2692C22semidirect
82. #2692C22semidirect
83. #2683C22semidirect
84. #2683C22semidirect
85. #2677C22semidirect
86. #2667C22semidirect
87. #2667C22semidirect
88. #2667C22semidirect
89. #2628C22semidirect
90. #2628C22semidirect
97. #2626C22semidirect
98. #2626C22semidirect
99. #2607C22semidirect
100. #2607C22semidirect
101. #2589C22semidirect
102. #2587C22semidirect
103. #2587C22semidirect
104. #2587C22semidirect
105. #2587C22semidirect
106. #2583C22semidirect
107. #2580C22semidirect
108. #2579C22semidirect
109. #2579C22semidirect
110. #2579C22semidirect
111. #2574C22semidirect
112. #2574C22semidirect
113. #2566C22semidirect
114. #2566C22semidirect
115. #2564C22semidirect
116. #2564C22semidirect
117. #2556C22semidirect
118. #2556C22semidirect
119. #2556C22semidirect
120. #2549C22semidirect
121. #2542C22semidirect
122. #2538C22semidirect
123. #2538C22semidirect
124. #2522C22semidirect
125. #2522C22semidirect
126. #2522C22semidirect
127. #2505C22semidirect
128. #2502C22semidirect
129. #2497C22semidirect
130. #2497C22semidirect
131. #2487C22semidirect
132. #2487C22semidirect
133. #2473C22semidirect
134. #2473C22semidirect
135. #2465C22semidirect
136. #2465C22semidirect
137. #2454C22semidirect
138. #2454C22semidirect
139. #2454C22semidirect
140. #2452C22semidirect
141. #2452C22semidirect
142. #2450C22semidirect
143. #2450C22semidirect
144. #2450C22semidirect
145. #2449C22semidirect
146. #2449C22semidirect
147. #2449C22semidirect
148. #2449C22semidirect
149. #2449C22semidirect
150. #2441C22semidirect
151. #2441C22semidirect
152. #2441C22semidirect
153. #2440C22semidirect
158. #2437C22semidirect
159. #2437C22semidirect
160. #2437C22semidirect
161. #2437C22semidirect
162. #2437C22semidirect
163. #2437C22semidirect
164. #2437C22semidirect
165. #2437C22semidirect
166. #2437C22semidirect
167. #2437C22semidirect
168. #2429C22semidirect
169. #2429C22semidirect
170. #2423C22semidirect
171. #2417C22semidirect
172. #2417C22semidirect
173. #2417C22semidirect
174. #2396C22semidirect
175. #2396C22semidirect
178. C2×#399C22semidirect
179. C2×#396C22semidirect
180. C2×#396C22semidirect
183. #2368C22semidirect
184. #2360C22semidirect
189. #2349C22semidirect
190. D4×C4⋊C4C22semidirect
191. #2345C22semidirect
205. #2315C22semidirect
206. #2315C22semidirect
207. #2315C22semidirect
225. C2×C4⋊Q8C23semidirect
226. C2×C4⋊Q8C23semidirect
227. C2×#125C23semidirect
228. C2×#125C23semidirect
229. C2×#125C23semidirect
244. C2×C22⋊Q8C23semidirect
245. C2×C22⋊Q8C23semidirect
246. C2×C22⋊Q8C23semidirect
247. C2×C22⋊Q8C23semidirect
248. C2×C22⋊Q8C23semidirect
249. C2×#120Q8semidirect
254. C2×C4×Q8C23semidirect
255. C2×C4×Q8C23semidirect
272. C22×C4⋊C4C23semidirect
273. C22×C4⋊C4C23semidirect
296. #400C23semidirect
297. #400C23semidirect
298. #400C23semidirect
299. #400C23semidirect
300. #400C23semidirect
301. #400C23semidirect
302. #400C23semidirect
303. #400C23semidirect
304. #400C23semidirect
327. #399C23semidirect
328. #399C23semidirect
329. #399C23semidirect
330. #399C23semidirect
331. #399C23semidirect
332. #398C23semidirect
333. #398C23semidirect
334. #398C23semidirect
335. #398C23semidirect
336. #398C23semidirect
337. #398C23semidirect
338. #398C23semidirect
339. #398C23semidirect
340. #398C23semidirect
341. #398C23semidirect
342. #398C23semidirect
343. #398C23semidirect
344. #398C23semidirect
345. #398C23semidirect
346. #398C23semidirect
347. #398C23semidirect
348. #398C23semidirect
349. #398C23semidirect
350. #398C23semidirect
351. #398C23semidirect
352. #398C23semidirect
385. #396C23semidirect
386. #396C23semidirect
387. #396C23semidirect
388. #396C23semidirect
389. #396C23semidirect
390. #396C23semidirect
391. #396C23semidirect
392. #395C23semidirect
393. #395C23semidirect
394. #395C23semidirect
395. #395C23semidirect
396. #395C23semidirect
397. #395C23semidirect
398. #395C23semidirect
399. #395C23semidirect
410. #393C23semidirect
411. #393C23semidirect
412. #391C23semidirect
413. #391C23semidirect
414. #391C23semidirect
415. #391C23semidirect
416. #391C23semidirect
417. #391C23semidirect
428. #389C23semidirect
429. #389C23semidirect
430. #389C23semidirect
431. #389C23semidirect
432. #389C23semidirect
433. #389C23semidirect
434. #389C23semidirect
435. #389C23semidirect
436. #389C23semidirect
437. #389C23semidirect
438. #389C23semidirect
439. #389C23semidirect
440. #389C23semidirect
441. #389C23semidirect
442. #389C23semidirect
443. #389C23semidirect
444. #389C23semidirect
445. #389C23semidirect
446. #389C23semidirect
447. #389C23semidirect
448. #389C23semidirect
469. #387C23semidirect
470. #387C23semidirect
471. #387C23semidirect
472. #387C23semidirect
473. #387C23semidirect
474. #387C23semidirect
475. #387C23semidirect
476. #387C23semidirect
477. #387C23semidirect
478. #387C23semidirect
479. #387C23semidirect
480. #387C23semidirect
481. #387C23semidirect
482. #387C23semidirect
483. #387C23semidirect
484. #387C23semidirect
485. #387C23semidirect
486. #387C23semidirect
541. #385C23semidirect
542. #385C23semidirect
543. #385C23semidirect
544. #385C23semidirect
545. #385C23semidirect
546. #385C23semidirect
547. #385C23semidirect
548. #385C23semidirect
549. #385C23semidirect
550. #384C23semidirect
551. #384C23semidirect
552. #384C23semidirect
553. #382C23semidirect
554. #382C23semidirect
574. #380C23semidirect
575. #380C23semidirect
576. #380C23semidirect
577. #380C23semidirect
578. #380C23semidirect
598. C4×C4⋊C4C23semidirect
599. C4×C4⋊C4C23semidirect
600. C4×C4⋊C4C23semidirect
601. C4×C4⋊C4C23semidirect
602. C4×C4⋊C4C23semidirect
618. C2×#95C23semidirect

Maximal subgroups

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

subgroupindex
#464342
#464332
#464312
#454932
#454922
#454912
#431232
#431222
#430552
#430252
#424902
#406232
#406132
#406122
#374752
C2×#28422
#358392
#358362
#349822
#343562
#341982