Finite Group Databasebeta

← #8928674

Subgroups — #8928674

Order 512.

5024 conjugacy classes of subgroups.

The subgroup lattice has 824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#56635C218yesmaximal, complemented
2#56499C218yesmaximal, complemented
3#53944C218yesmaximal, complemented
4#49163C218yesmaximal, complemented
5#48795C214yesmaximal, complemented
6#47195C212yesmaximal, complemented
7#46999C211yesmaximal, characteristic, complemented
8#46389C212yesmaximal, complemented
9#46387C211yesmaximal, characteristic, complemented
10#45638C218yesmaximal, complemented
11#45457C214yesmaximal, complemented
12#36965C212yesmaximal, complemented
13#36721C212yesmaximal, complemented
14#36714C212yesmaximal, complemented
15#35354C212yesmaximal, complemented
16#35350C211yesmaximal, characteristic, complemented
17C2×#534C2212yes—
18C22×#123C2212yescomplemented
19C22×#120C2211yescharacteristic
20C2×#518C2211yescharacteristic
21#2849C2214yescomplemented
22#2847C2214yescomplemented
23#2846C2214yescomplemented
24#2842C2214yescomplemented
25#2842C2211yescharacteristic, complemented
26#2842C2211yescharacteristic, complemented
27#2837C2218yescomplemented
28#2827C2218yescomplemented
29#2826C2218yescomplemented
30#2812C2214yescomplemented
31#2803C2218yescomplemented
32#2800C2218yescomplemented
33#2796C2218yescomplemented
34#2783C2218yescomplemented
35#2779C2218yescomplemented
36#2772C2218yescomplemented
37#2771C2214yescomplemented
38#2768C2218yescomplemented
39#2752C2214yescomplemented
40#2743C2218yescomplemented
41#2735C2214yescomplemented
42#2735C2218yescomplemented
43#2727C2218yescomplemented
44#2725C2218yescomplemented
45#2724C2218yescomplemented
46#2711C2218yescomplemented
47#2707C2218yescomplemented
48#2707C2218yescomplemented
49#2706C2218yescomplemented
50#2706C2218yescomplemented
51#2705C2218yescomplemented
52#2701C2218yescomplemented
53#2701C2218yescomplemented
54#2697C2218yescomplemented
55#2697C2218yescomplemented
56#2695C2218yescomplemented
57#2694C2218yescomplemented
58#2685C2218yescomplemented
59#2685C2218yescomplemented
60#2685C2218yescomplemented
61#2679C2218yescomplemented
62#2678C2218yes—
63#2678C2218yes—
64#2678C2218yes—
65#2678C2218yescomplemented
66#2678C2218yescomplemented
67#2668C2214yescomplemented
68#2667C2214yescomplemented
69#2654C2218yescomplemented
70#2644C2218yescomplemented
71#2624C2214yescomplemented
72#2622C2214yescomplemented
73#2622C2214yescomplemented
74#2618C2214yescomplemented
75#2611C2218yescomplemented
76#2603C2218yescomplemented
77#2601C2218yescomplemented
78#2595C2218yescomplemented
79#2559C2218yescomplemented
80#2554C2218yescomplemented
81#2539C2214yes—
82#2539C2214yescomplemented
83#2534C2218yescomplemented
84#2534C2214yescomplemented
85#2531C2218yescomplemented
86#2526C2218yescomplemented
87#2526C2218yescomplemented
88#2504C2214yescomplemented
89#2487C2214yescomplemented
90#2483C2212yescomplemented
91#2483C2211yescharacteristic, complemented
92#2482C2214yescomplemented
93#2482C2214yescomplemented
94#2480C2218yescomplemented
95#2479C2218yescomplemented
96#2471C2218yescomplemented
97#2470C2218yescomplemented
98#2470C2218yescomplemented
99#2457C2218yescomplemented
100#2455C2218yescomplemented
101#2454C2218yescomplemented
102#2424C2218yescomplemented
103#2418C2218yescomplemented
104#2418C2218yescomplemented
105#2418C2218yescomplemented
106#2413C2214yescomplemented
107#2413C2214yescomplemented
108#2411C2218yescomplemented
109#2411C2214yescomplemented
110#2411C2214yescomplemented
111#2405C2212yes—
112#2405C2212yes—
113#2405C2212yes—
114#2405C2212yes—
115#2405C2212yescomplemented
116#2403C2212yes—
117#2403C2212yes—
118#2403C2211yescharacteristic, complemented
119#2377C2214yescomplemented
120#2375C2218yescomplemented
121#2346C2214yescomplemented
122#2322C2214yescomplemented
123#2315C2212yescomplemented
124#2312C2212yescomplemented
125#2312C2212yescomplemented
126#2309C2212yes—
127#2309C2212yescomplemented
128#2308C2211yescharacteristic
129C4×#120C2214yescomplemented
130C2×#379C2212yescomplemented
131C26C2311yescharacteristic
132C23×D4C2311yescharacteristic
133C23×D4C2312yes—
134C23×D4C2312yes—
135C24×C4C2312yescomplemented
136#534—48no—
137C2×#126C2318yes—
138C2×#126C2318yescomplemented
139C2×#125C2318yescomplemented
140C2×#123—48no—
141C2×#123C2314yes—
142C2×#123C2318yes—
143C2×#123C2314yes—
144C2×#123C2314yes—
145C2×#123C2314yes—
146C2×#123C2314yes—
147C2×#123C2314yes—
148C2×#123C2318yes—
149C2×#123C2318yescomplemented
150C2×#123C2314yescomplemented
151C2×#121C2314yes—
152C2×#121C2314yes—
153C2×#121C2314yes—
154C2×#121C2318yes—
155C2×#120—44no—
156C2×#120C2314yes—
157C2×#120C2318yes—
158C2×#120C2314yes—
159C2×#120C2314yes—
160C2×#120C2318yes—
161C2×#120C2314yes—
162C2×#120C2314yes—
163C2×#120C2318yes—
164C2×#120C2314yes—
165C2×#120C2314yescomplemented
166#518—44no—
167C2×C4×D4C2314yes—
168C2×C4×D4C2314yes—
169C2×C4×D4C2318yes—
170C2×#117C2314yes—
171C2×#117C2312yes—
172C2×#117C2314yes—
173C2×#117C2314yescomplemented
174C22×C4⋊C4C2312yescomplemented
175C22×C4⋊C4C2312yescomplemented
176C22×C22⋊C4C2312yes—
177C22×C22⋊C4C2312yes—
178C22×C22⋊C4C2312yes—
179C22×C22⋊C4C2311yescharacteristic
180C22×C22⋊C4C2312yes—
181C22×C22⋊C4C2312yes—
182C22×C22⋊C4C2318yes—
183C22×C22⋊C4C2312yescomplemented
184#400C2318yescomplemented
185#400C2318yescomplemented
186#400C2318yescomplemented
187#400C2318yescomplemented
188#399C2318yes—
189#399C2314yes—
190#399C2318yes—
191#399C2314yes—
192#399C2314yes—
193#399C2314yes—
194#399C2318yescomplemented
195#399C2318yescomplemented
196#398C2318yescomplemented
197#398C2318yescomplemented
198#398C2318yescomplemented
199#398C2318yescomplemented
200#398C2318yescomplemented
201#397C2318yes—
202#397C2318yes—
203#397C2318yes—
204#397C2318yes—
205#397C2318yes—
206#397C2318yes—
207#397C2318yes—
208#397C2314yes—
209#397C2314yes—
210#397C2318yescomplemented
211#397C2318yescomplemented
212#397C2318yescomplemented
213#397C2318yescomplemented
214#396C2318yes—
215#396C2318yes—
216#396C2318yes—
217#396C2318yes—
218#396C2318yes—
219#396C2318yes—
220#396C2318yes—
221#396C2318yes—
222#396C2318yescomplemented
223#396C2318yescomplemented
224#396C2318yescomplemented
225#396C2318yescomplemented
226#394C2318yes—
227#394C2318yes—
228#394C2318yes—
229#394C2318yes—
230#394C2318yes—
231#394C2318yes—
232#394C2318yes—
233#394C2318yes—
234#394C2318yes—
235#394C2318yes—
236#394C2318yes—
237#394C2318yes—
238#394C2318yes—
239#394C2318yes—
240#394C2318yes—
241#394C2318yes—
242#394C2318yescomplemented
243#392C2318yes—
244#392C2314yes—
245#392C2318yes—
246#392C2318yes—
247#392C2314yes—
248#390C2318yes—
249#390C2318yes—
250#390C2318yes—
251#390C2318yes—
252#390C2318yes—
253#390C2318yes—
254#390C2318yes—
255#390C2318yes—
256#390C2318yes—
257#390C2318yescomplemented
258#390C2318yescomplemented
259#389C2318yescomplemented
260#389C2318yescomplemented
261#389C2318yescomplemented
262#389C2318yescomplemented
263#389C2318yescomplemented
264#389C2318yescomplemented
265#389C2318yescomplemented
266#389C2318yescomplemented
267#388C2318yes—
268#388C2318yes—
269#388C2318yes—
270#388C2318yes—
271#388C2318yes—
272#388C2318yes—
273#388C2318yes—
274#388C2318yes—
275#388C2318yes—
276#388C2318yes—
277#388C2318yes—
278#388C2318yes—
279#388C2318yes—
280#388C2318yes—
281#388C2318yes—
282#388C2318yes—
283#388C2318yescomplemented
284#388C2318yescomplemented
285#388C2318yescomplemented
286#388C2318yescomplemented
287#388C2318yescomplemented
288#388C2318yescomplemented
289#387C2318yescomplemented
290#387C2318yescomplemented
291#387C2318yescomplemented
292#387C2318yescomplemented
293#387C2318yescomplemented
294#387C2318yescomplemented
295#386C2318yes—
296#386C2318yes—
297#386C2318yes—
298#386C2314yes—
299#386C2314yes—
300#386C2318yes—
301#386C2314yes—
302#386C2318yes—
303#386C2314yes—
304#386C2314yes—
305#386C2314yes—
306#386C2314yes—
307#386C2318yes—
308#386C2314yes—
309#386C2318yescomplemented
310#386C2314yescomplemented
311#386C2314yescomplemented
312#385C2318yes—
313#385C2314yes—
314#385C2314yes—
315#385C2318yes—
316#385C2314yes—
317#385C2314yes—
318#385C2318yes—
319#385C2318yescomplemented
320#385C2318yescomplemented
321#385C2314yescomplemented
322#385C2318yescomplemented
323#385C2314yescomplemented
324#385C2314yescomplemented
325#385C2314yescomplemented
326#382C2318yescomplemented
327#381C2312yes—
328#381C2314yes—
329#381C2314yescomplemented
330#381C2314yescomplemented
331#381C2314yescomplemented
332#380C2314yes—
333#380C2314yes—
334#380C2318yes—
335#380C2314yescomplemented
336#380C2314yescomplemented
337#380C2318yescomplemented
338#379C2311yescharacteristic
339#379C2311yescharacteristic
340#379C2312yes—
341#379C2312yes—
342#379C2314yes—
343#379C2318yes—
344#379C2314yes—
345#379C2314yes—
346#379C2314yes—
347#379C2318yes—
348#379C2314yes—
349#379C2314yes—
350#379C2314yes—
351#379C2314yescomplemented
352#379C2314yescomplemented
353C4×C4⋊C4C2318yescomplemented
354C4×C22⋊C4C2314yes—
355C4×C22⋊C4C2314yescomplemented
356C4×C22⋊C4C2314yescomplemented
357C4×C22⋊C4C2318yescomplemented
358#376C2318yescomplemented
359C25—42no—
360C25—44no—
361C25—84no—
362C25C2411yescharacteristic
363C25C2414yes—
364C25C2412yes—
365C25C2412yes—
366C25C2411yescharacteristic
367C22×D4—24no—
368C22×D4—28no—
369C22×D4—28no—
370C22×D4—44no—
371C22×D4—84no—
372C22×D4—84no—
373C22×D4C2414yes—
374C22×D4C2418yes—
375C22×D4C2414yes—
376C22×D4C2414yes—
377C22×D4C2414yes—
378C22×D4C2414yes—
379C22×D4C2414yes—
380C22×D4C2414yes—
381C22×D4C2418yes—
382C22×D4C2414yes—
383C23×C4—44no—
384C23×C4—84no—
385C23×C4C2414yes—
386C23×C4C2412yes—
387C23×C4C2411yescharacteristic
388C23×C4C2412yes—
389C23×C4C2412yes—
390C23×C4C2412yes—
391C23×C4C2412yes—
392C23×C4C2412yes—
393C23×C4C2414yes—
394C23×C4C2418yes—
395#126—88no—
396#126—88no—
397#125—88no—
398#123—416no—
399#123—416no—
400#123—48no—
401#123—48no—
402#123—48no—
403#123—84no—
404#123—84no—
405#123—84no—
406#123—88no—
407#123—84no—
408#121—48no—
409#121—48no—
410#121—48no—
411#121—88no—
412#120—416no—
413#120—48no—
414#120—48no—
415#120—416no—
416#120—48no—
417#120—84no—
418#120—84no—
419#120—88no—
420#120—84no—
421#120—84no—
422C4×D4—48no—
423C4×D4—48no—
424C4×D4—88no—
425#117—48no—
426#117—44no—
427#117—84no—
428#117—84no—
429C2×C4⋊C4—44no—
430C2×C4⋊C4—44no—
431C2×C4⋊C4C2418yes—
432C2×C4⋊C4C2418yes—
433C2×C4⋊C4C2414yes—
434C2×C4⋊C4C2418yes—
435C2×C4⋊C4C2414yes—
436C2×C4⋊C4C2414yes—
437C2×C4⋊C4C2418yes—
438C2×C4⋊C4C2418yes—
439C2×C4⋊C4C2414yes—
440C2×C4⋊C4C2414yes—
441C2×C4⋊C4C2418yes—
442C2×C4⋊C4C2414yes—
443C2×C4⋊C4C2418yes—
444C2×C4⋊C4C2418yes—
445C2×C4⋊C4C2418yes—
446C2×C4⋊C4C2418yes—
447C2×C4⋊C4C2418yes—
448C2×C4⋊C4C2418yes—
449C2×C4⋊C4C2418yes—
450C2×C4⋊C4C2418yes—
451C2×C22⋊C4—28no—
452C2×C22⋊C4—28no—
453C2×C22⋊C4—44no—
454C2×C22⋊C4—44no—
455C2×C22⋊C4—44no—
456C2×C22⋊C4—42no—
457C2×C22⋊C4—44no—
458C2×C22⋊C4—88no—
459C2×C22⋊C4C2414yes—
460C2×C22⋊C4C2414yes—
461C2×C22⋊C4C2414yes—
462C2×C22⋊C4C2414yes—
463C2×C22⋊C4C2418yes—
464C2×C22⋊C4C2412yes—
465C2×C22⋊C4C2412yes—
466C2×C22⋊C4C2414yes—
467C2×C22⋊C4C2418yes—
468C2×C22⋊C4C2418yes—
469C2×C22⋊C4C2418yes—
470C2×C22⋊C4C2418yes—
471C2×C22⋊C4C2418yes—
472C2×C22⋊C4C2412yes—
473C2×C22⋊C4C2412yes—
474C2×C22⋊C4C2414yes—
475C2×C22⋊C4C2418yes—
476C2×C22⋊C4C2414yes—
477C2×C22⋊C4C2414yes—
478C2×C22⋊C4C2414yes—
479C2×C22⋊C4C2414yes—
480C2×C22⋊C4C2418yes—
481C2×C22⋊C4C2418yes—
482C2×C22⋊C4C2414yes—
483C2×C22⋊C4C2414yes—
484C2×C22⋊C4C2414yes—
485C2×C22⋊C4C2414yes—
486C2×C22⋊C4C2418yes—
487C2×C22⋊C4C2418yes—
488C2×C22⋊C4C2414yes—
489C2×C22⋊C4C2418yes—
490C2×C22⋊C4C2418yes—
491C2×C22⋊C4C2418yes—
492C2×C22⋊C4C2414yes—
493C2×C22⋊C4C2418yes—
494C2×C22⋊C4C2418yes—
495C2×C22⋊C4C2418yes—
496C2×C22⋊C4C2414yes—
497C2×C22⋊C4C2418yes—
498C2×C22⋊C4C2418yes—
499C2×C22⋊C4C2418yes—
500C2×C22⋊C4C2418yes—
501C2×C22⋊C4C2414yes—
502C2×C42C2412yes—
503C2×C42C2412yes—
504C2×C42C2418yes—
505C2×C42C2418yes—
506C2×C42C2418yes—
507C2×C42C2418yes—
508#95C2414yes—
509#95C2418yes—
510#95C2418yes—
511#95C2418yes—
512#95C2414yes—
513#95C2418yes—
514#95C2418yes—
515#95C2418yes—
516#95C2418yes—
517#95C2418yes—
518#95C2418yes—
519#95C2418yes—
520#95C2418yes—
521#95C2418yes—
522#95C2414yes—
523#95C2418yes—
524#95C2414yes—
525#95C2418yes—
526#95C2418yes—
527#95C2418yes—
528C24—22no—
529C24—24no—
530C24—24no—
531C24—24no—
532C24—28no—
533C24—48no—
534C24—44no—
535C24—44no—
536C24—44no—
537C24—42no—
538C24—44no—
539C24—44no—
540C24—44no—
541C24—44no—
542C24—44no—
543C24—48no—
544C24—44no—
545C24—44no—
546C24—88no—
547C24—816no—
548C24—832no—
549C24H(5,𝔽2)14yes—
550C24C2514yes—
551C24C2514yes—
552C24C2511yescharacteristic
553C24C2512yes—
554C24C2512yes—
555C2×D4—28no—
556C2×D4—28no—
557C2×D4—28no—
558C2×D4—28no—
559C2×D4—28no—
560C2×D4—28no—
561C2×D4—216no—
562C2×D4—44no—
563C2×D4—48no—
564C2×D4—48no—
565C2×D4—44no—
566C2×D4—44no—
567C2×D4—44no—
568C2×D4—44no—
569C2×D4—44no—
570C2×D4—44no—
571C2×D4—44no—
572C2×D4—44no—
573C2×D4—44no—
574C2×D4—44no—
575C2×D4—48no—
576C2×D4—48no—
577C2×D4—48no—
578C2×D4—48no—
579C2×D4—48no—
580C2×D4—48no—
581C2×D4—44no—
582C2×D4—416no—
583C2×D4—816no—
584C2×D4—816no—
585C22×C4—22no—
586C22×C4—24no—
587C22×C4—24no—
588C22×C4—24no—
589C22×C4—24no—
590C22×C4—24no—
591C22×C4—24no—
592C22×C4—28no—
593C22×C4—44no—
594C22×C4—44no—
595C22×C4—42no—
596C22×C4—48no—
597C22×C4—48no—
598C22×C4—48no—
599C22×C4—48no—
600C22×C4—44no—
601C22×C4—44no—
602C22×C4—44no—
603C22×C4—44no—
604C22×C4—44no—
605C22×C4—48no—
606C22×C4—816no—
607C22×C4C2512yes—
608C22×C4C2514yes—
609C22×C4C2514yes—
610C22×C4C2514yes—
611C22×C4C2514yes—
612C22×C4C2518yes—
613C22×C4C2518yes—
614C22×C4C2514yes—
615C22×C4C2514yes—
616C22×C4C2514yes—
617C22×C4C2514yes—
618C4⋊C4—48no—
619C4⋊C4—48no—
620C4⋊C4—44no—
621C4⋊C4—44no—
622C4⋊C4—44no—
623C4⋊C4—48no—
624C4⋊C4—48no—
625C4⋊C4—48no—
626C4⋊C4—44no—
627C4⋊C4—44no—
628C4⋊C4—44no—
629C4⋊C4—48no—
630C4⋊C4—48no—
631C4⋊C4—48no—
632C4⋊C4—48no—
633C4⋊C4—48no—
634C4⋊C4—48no—
635C4⋊C4—48no—
636C4⋊C4—48no—
637C4⋊C4—48no—
638C22⋊C4—28no—
639C22⋊C4—28no—
640C22⋊C4—28no—
641C22⋊C4—28no—
642C22⋊C4—216no—
643C22⋊C4—42no—
644C22⋊C4—44no—
645C22⋊C4—42no—
646C22⋊C4—42no—
647C22⋊C4—42no—
648C22⋊C4—48no—
649C22⋊C4—44no—
650C22⋊C4—48no—
651C22⋊C4—48no—
652C22⋊C4—48no—
653C22⋊C4—48no—
654C22⋊C4—48no—
655C22⋊C4—44no—
656C22⋊C4—44no—
657C22⋊C4—44no—
658C22⋊C4—44no—
659C22⋊C4—48no—
660C22⋊C4—48no—
661C22⋊C4—48no—
662C22⋊C4—48no—
663C22⋊C4—44no—
664C22⋊C4—48no—
665C22⋊C4—44no—
666C22⋊C4—44no—
667C22⋊C4—44no—
668C22⋊C4—44no—
669C22⋊C4—48no—
670C22⋊C4—44no—
671C22⋊C4—48no—
672C22⋊C4—44no—
673C22⋊C4—48no—
674C22⋊C4—48no—
675C22⋊C4—48no—
676C22⋊C4—48no—
677C22⋊C4—48no—
678C22⋊C4—48no—
679C22⋊C4—44no—
680C22⋊C4—48no—
681C42—48no—
682C42—42no—
683C42—42no—
684C42—48no—
685C42—48no—
686C42—48no—
687C23—28no—
688C23—22no—
689C23—24no—
690C23—22no—
691C23—22no—
692C23—24no—
693C23—28no—
694C23—24no—
695C23—24no—
696C23—24no—
697C23—24no—
698C23—28no—
699C23—28no—
700C23—28no—
701C23—28no—
702C23—24no—
703C23—24no—
704C23—24no—
705C23—24no—
706C23—44no—
707C23—48no—
708C23—48no—
709C23—48no—
710C23—416no—
711C23—84no—
712C23—84no—
713C23—88no—
714C23—816no—
715C23—84no—
716C23—88no—
717C23—84no—
718C23—84no—
719C23—816no—
720C23—88no—
721C23—816no—
722C23—816no—
723C23—864no—
724C23—164no—
725C23C2×H(5,𝔽2)12yes—
726C23C2×H(5,𝔽2)14yes—
727C23#58514yes—
728C23C2611yescharacteristic
729D4—416no—
730D4—816no—
731D4—88no—
732D4—88no—
733D4—88no—
734D4—88no—
735D4—164no—
736D4—168no—
737D4—164no—
738D4—164no—
739C2×C4—22no—
740C2×C4—24no—
741C2×C4—24no—
742C2×C4—24no—
743C2×C4—24no—
744C2×C4—24no—
745C2×C4—24no—
746C2×C4—24no—
747C2×C4—28no—
748C2×C4—28no—
749C2×C4—28no—
750C2×C4—24no—
751C2×C4—24no—
752C2×C4—28no—
753C2×C4—24no—
754C2×C4—24no—
755C2×C4—28no—
756C2×C4—28no—
757C2×C4—28no—
758C2×C4—28no—
759C2×C4—28no—
760C2×C4—28no—
761C2×C4—24no—
762C2×C4—28no—
763C2×C4—24no—
764C2×C4—28no—
765C2×C4—44no—
766C2×C4—48no—
767C2×C4—48no—
768C2×C4—88no—
769C2×C4—84no—
770C2×C4—84no—
771C2×C4—84no—
772C2×C4—84no—
773C2×C4—816no—
774C2×C4—164no—
775C22—28no—
776C22—22no—
777C22—24no—
778C22—24no—
779C22—24no—
780C22—24no—
781C22—24no—
782C22—44no—
783C22—44no—
784C22—48no—
785C22—44no—
786C22—48no—
787C22—48no—
788C22—48no—
789C22—48no—
790C22—44no—
791C22—44no—
792C22—44no—
793C22—44no—
794C22—44no—
795C22—44no—
796C22—88no—
797C22—816no—
798C22—832no—
799C22—816no—
800C22—164no—
801C22C22×H(5,𝔽2)11yescharacteristic
802C22C2×#58512yes—
803C22H(7,𝔽2)14yes—
804C4—44no—
805C4—44no—
806C4—48no—
807C4—48no—
808C4—42no—
809C4—44no—
810C4—44no—
811C4—44no—
812C4—44no—
813C4—44no—
814C4—44no—
815C2—44no—
816C2—42no—
817C2—44no—
818C2—84no—
819C2—84no—
820C2#6282011yescharacteristic
821C2#6286212yes—
822C2#6304214yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #56635C2semidirect
2. #56499C2semidirect
3. #53944C2semidirect
4. #49163C2semidirect
5. #48795C2semidirect
6. #47195C2semidirect
7. #46999C2semidirect
8. #46389C2semidirect
9. #46387C2semidirect
10. #45638C2semidirect
11. #45457C2semidirect
12. #36965C2semidirect
13. #36721C2semidirect
14. #36714C2semidirect
15. #35354C2semidirect
16. #35350C2semidirect
18. C22×#123C22semidirect
21. #2849C22semidirect
22. #2847C22semidirect
23. #2846C22semidirect
24. #2842C22semidirect
25. #2842C22semidirect
26. #2842C22semidirect
27. #2837C22semidirect
28. #2827C22semidirect
29. #2826C22semidirect
30. #2812C22semidirect
31. #2803C22semidirect
32. #2800C22semidirect
33. #2796C22semidirect
34. #2783C22semidirect
35. #2779C22semidirect
36. #2772C22semidirect
37. #2771C22semidirect
38. #2768C22semidirect
39. #2752C22semidirect
40. #2743C22semidirect
41. #2735C22semidirect
42. #2735C22semidirect
43. #2727C22semidirect
44. #2725C22semidirect
45. #2724C22semidirect
46. #2711C22semidirect
47. #2707C22semidirect
48. #2707C22semidirect
49. #2706C22semidirect
50. #2706C22semidirect
51. #2705C22semidirect
52. #2701C22semidirect
53. #2701C22semidirect
54. #2697C22semidirect
55. #2697C22semidirect
56. #2695C22semidirect
57. #2694C22semidirect
58. #2685C22semidirect
59. #2685C22semidirect
60. #2685C22semidirect
61. #2679C22semidirect
65. #2678C22semidirect
66. #2678C22semidirect
67. #2668C22semidirect
68. #2667C22semidirect
69. #2654C22semidirect
70. #2644C22semidirect
71. #2624C22semidirect
72. #2622C22semidirect
73. #2622C22semidirect
74. #2618C22semidirect
75. #2611C22semidirect
76. #2603C22semidirect
77. #2601C22semidirect
78. #2595C22semidirect
79. #2559C22semidirect
80. #2554C22semidirect
82. #2539C22semidirect
83. #2534C22semidirect
84. #2534C22semidirect
85. #2531C22semidirect
86. #2526C22semidirect
87. #2526C22semidirect
88. #2504C22semidirect
89. #2487C22semidirect
90. #2483C22semidirect
91. #2483C22semidirect
92. #2482C22semidirect
93. #2482C22semidirect
94. #2480C22semidirect
95. #2479C22semidirect
96. #2471C22semidirect
97. #2470C22semidirect
98. #2470C22semidirect
99. #2457C22semidirect
100. #2455C22semidirect
101. #2454C22semidirect
102. #2424C22semidirect
103. #2418C22semidirect
104. #2418C22semidirect
105. #2418C22semidirect
106. #2413C22semidirect
107. #2413C22semidirect
108. #2411C22semidirect
109. #2411C22semidirect
110. #2411C22semidirect
115. #2405C22semidirect
118. #2403C22semidirect
119. #2377C22semidirect
120. #2375C22semidirect
121. #2346C22semidirect
122. #2322C22semidirect
123. #2315C22semidirect
124. #2312C22semidirect
125. #2312C22semidirect
127. #2309C22semidirect
129. C4×#120C22semidirect
130. C2×#379C22semidirect
135. C24×C4C23semidirect
138. C2×#126C23semidirect
139. C2×#125C23semidirect
149. C2×#123C23semidirect
150. C2×#123C23semidirect
165. C2×#120C23semidirect
173. C2×#117C23semidirect
174. C22×C4⋊C4C23semidirect
175. C22×C4⋊C4C23semidirect
183. C22×C22⋊C4C23semidirect
184. #400C23semidirect
185. #400C23semidirect
186. #400C23semidirect
187. #400C23semidirect
194. #399C23semidirect
195. #399C23semidirect
196. #398C23semidirect
197. #398C23semidirect
198. #398C23semidirect
199. #398C23semidirect
200. #398C23semidirect
210. #397C23semidirect
211. #397C23semidirect
212. #397C23semidirect
213. #397C23semidirect
222. #396C23semidirect
223. #396C23semidirect
224. #396C23semidirect
225. #396C23semidirect
242. #394C23semidirect
257. #390C23semidirect
258. #390C23semidirect
259. #389C23semidirect
260. #389C23semidirect
261. #389C23semidirect
262. #389C23semidirect
263. #389C23semidirect
264. #389C23semidirect
265. #389C23semidirect
266. #389C23semidirect
283. #388C23semidirect
284. #388C23semidirect
285. #388C23semidirect
286. #388C23semidirect
287. #388C23semidirect
288. #388C23semidirect
289. #387C23semidirect
290. #387C23semidirect
291. #387C23semidirect
292. #387C23semidirect
293. #387C23semidirect
294. #387C23semidirect
309. #386C23semidirect
310. #386C23semidirect
311. #386C23semidirect
319. #385C23semidirect
320. #385C23semidirect
321. #385C23semidirect
322. #385C23semidirect
323. #385C23semidirect
324. #385C23semidirect
325. #385C23semidirect
326. #382C23semidirect
329. #381C23semidirect
330. #381C23semidirect
331. #381C23semidirect
335. #380C23semidirect
336. #380C23semidirect
337. #380C23semidirect
351. #379C23semidirect
352. #379C23semidirect
353. C4×C4⋊C4C23semidirect
355. C4×C22⋊C4C23semidirect
356. C4×C22⋊C4C23semidirect
357. C4×C22⋊C4C23semidirect
358. #376C23semidirect

Maximal subgroups

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

subgroupindex
#566352
#564992
#539442
#491632
#487952
#471952
#469992
#463892
#463872
#456382
#454572
#369652
#367212
#367142
#353542
#353502