Finite Group Databasebeta

← #6798450

Subgroups — #6798450

Order 512.

1699 conjugacy classes of subgroups.

The subgroup lattice has 800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36189C211yesmaximal, characteristic, complemented
2#36127C211yesmaximal, characteristic
3#33294C211yesmaximal, characteristic, complemented
4#31370C214yesmaximal, complemented
5#31369C214yesmaximal, complemented
6#29877C211yesmaximal, characteristic, complemented
7#29877C211yesmaximal, characteristic, complemented
8#29143C211yesmaximal, characteristic, complemented
9#28687C211yesmaximal, characteristic, complemented
10#27962C211yesmaximal, characteristic, complemented
11#27960C211yesmaximal, characteristic, complemented
12#26118C214yesmaximal, complemented
13#25671C211yesmaximal, characteristic, complemented
14#25671C211yesmaximal, characteristic, complemented
15#24982C214yesmaximal, complemented
16#21863C211yesmaximal, characteristic, complemented
17#21859C211yesmaximal, characteristic, complemented
18#21646C211yesmaximal, characteristic, complemented
19#21265C211yesmaximal, characteristic, complemented
20C2×#547—21no—
21C2×#532C2211yescharacteristic
22C2×#532C2211yescharacteristic
23C2×#498C2211yescharacteristic
24C2×#498C2211yescharacteristic
25C2×#486C2211yescharacteristic
26C2×#431C2211yescharacteristic
27C2×#431C2211yescharacteristic
28#2868C2211yescharacteristic
29#2859C2211yescharacteristic
30#2857C2211yescharacteristic
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2570C2212yes—
35#2547—21no—
36#2537—21no—
37#2537C2212yes—
38#2511—21no—
39#2507—21no—
40#2497—21no—
41#2487—21no—
42#2442C2212yes—
43#2441C2212yes—
44#2432—21no—
45#2432—21no—
46#2423—21no—
47#2422—21no—
48#2422—21no—
49#2422C2212yes—
50#2422C2212yes—
51#2417—21no—
52#2360—21no—
53#2352C2212yes—
54D4×C4⋊C4—21no—
55D4×C4⋊C4C2212yes—
56#2345—21no—
57C4×C4⋊Q8C2211yescharacteristic
58C4×#127C2211yescharacteristic
59#2285C2211yescharacteristic
60C2×#384C2211yescharacteristic
61C42×D4C2211yescharacteristic
62#2101C2214yes—
63#2099C2214yes—
64#2088C2214yes—
65#2088C2214yes—
66#2084C2214yes—
67#2077C2214yes—
68#2077C2214yes—
69#2034C2214yes—
70#2034C2214yes—
71#2025C2214yes—
72#1992C2214yes—
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1990C2211yescharacteristic
79#1990C2211yescharacteristic
80#1957C2211yescharacteristic
81#1957C2211yescharacteristic
82#1957C2211yescharacteristic
83#1955C2212yes—
84#1948C2214yes—
85#1940C2212yes—
86#1936C2214yes—
87#1924C2212yes—
88#1924C2212yes—
89#1875C2214yes—
90#1874C2214yes—
91#1864C2214yes—
92#1864C2214yes—
93#1836C2214yes—
94#1834C2211yescharacteristic
95#1834C2211yescharacteristic
96#1834C2211yescharacteristic
97#1825C2214yes—
98#1823C2214yes—
99#1804C2214yes—
100#1804C2214yes—
101#1802C2214yes—
102C4×C4⋊C8C2211yescharacteristic
103#1762C2214yes—
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106C4×#97C2211yescharacteristic
107C22×#41—21no—
108C22×#41—21no—
109#547—48no—
110#532—24no—
111#532—24no—
112#532—42no—
113#532—42no—
114C2×C4⋊Q8—21no—
115C2×C4⋊Q8—21no—
116C2×C4⋊Q8C2311yescharacteristic
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2311yescharacteristic
119C2×#127C2311yescharacteristic
120C2×#125C2312yes—
121C2×#124—21no—
122C2×#124—21no—
123C2×#123—22no—
124C2×#123—22no—
125C2×C22⋊Q8—21no—
126C2×C22⋊Q8—21no—
127C2×C22⋊Q8—21no—
128C2×C22⋊Q8—21no—
129C2×#121—22no—
130C2×#121—21no—
131C2×#121—21no—
132C2×#121C2312yes—
133C2×#121C2312yes—
134C2×C4×Q8—21no—
135C2×C4×D4—21no—
136C2×C4×D4—21no—
137C2×C4×D4—21no—
138C2×C4×D4—21no—
139C2×C4×D4D411yescharacteristic
140C2×C4×D4D411yescharacteristic
141C2×C4×D4C2312yes—
142C2×C4×D4C2312yes—
143C2×C4×D4C2312yes—
144C2×C4×D4C2311yescharacteristic
145C2×#117C2312yes—
146C22×C4⋊C4—21no—
147C22×C4⋊C4—21no—
148C22×C4⋊C4—22no—
149C22×C4⋊C4C2312yes—
150C22×C42C2311yescharacteristic
151C22×C42C2311yescharacteristic
152#498—42no—
153#498—42no—
154#486—24no—
155#431—42no—
156#431—42no—
157C2×#106C2314yes—
158C2×#106C2314yes—
159C2×C4⋊C8C2312yes—
160C2×C4⋊C8C2312yes—
161C2×C4⋊C8C2312yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×C22⋊C8C2312yes—
167C2×C22⋊C8C2312yes—
168C2×C22⋊C8C2312yes—
169C2×C22⋊C8C2312yes—
170C2×#97C2312yes—
171C2×#97C2312yes—
172C2×C4×C8C2311yescharacteristic
173C2×C4×C8C2311yescharacteristic
174C2×C4×C8C2311yescharacteristic
175C2×C4×C8C2311yescharacteristic
176#400—22no—
177#400—22no—
178#399—22no—
179#398—22no—
180#398—22no—
181#397—22no—
182#397—22no—
183#396—22no—
184#394—22no—
185#394—22no—
186#394—22no—
187#394—22no—
188#391—21no—
189#391—21no—
190#391—21no—
191#391—21no—
192#391—21no—
193#390—21no—
194#390—21no—
195#390C2312yes—
196#389—21no—
197#389—21no—
198#389—21no—
199#389—21no—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—22no—
206#389C2312yes—
207#389C2312yes—
208#389C2312yes—
209#389C2312yes—
210#389C2312yes—
211#388—22no—
212#387—22no—
213#387—22no—
214#387—22no—
215#387—22no—
216#386—22no—
217#385—22no—
218#385—22no—
219#385—22no—
220#385—22no—
221#385—22no—
222#384—21no—
223#384—21no—
224#384—21no—
225#384—21no—
226#384C2311yescharacteristic
227#384C2311yescharacteristic
228#384C2312yes—
229#384C2312yes—
230#384C2311yescharacteristic
231#384C2311yescharacteristic
232#384C2312yes—
233#382C2312yes—
234#382C2312yes—
235#380—21no—
236#380—21no—
237#380—21no—
238#380—21no—
239#380—21no—
240#380—21no—
241#380—22no—
242#380—22no—
243#380—22no—
244#380C2312yes—
245#380C2312yes—
246#380C2312yes—
247#380C2312yes—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4—21no—
251C4×C4⋊C4D411yescharacteristic
252C4×C4⋊C4D411yescharacteristic
253C4×C4⋊C4C2312yes—
254C4×C4⋊C4C2311yescharacteristic
255C4×C22⋊C4—22no—
256C4×C22⋊C4D411yescharacteristic
257C4×C22⋊C4D411yescharacteristic
258C4×C22⋊C4D411yescharacteristic
259C4×C22⋊C4D411yescharacteristic
260C4×C22⋊C4C2311yescharacteristic
261C4×C22⋊C4C2311yescharacteristic
262C43C2311yescharacteristic
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C2×#41—44no—
277C2×#41—44no—
278C2×#41—44no—
279C2×#41—44no—
280C2×#41—82no—
281C2×#41—82no—
282C22×Q8—21no—
283C22×Q8—21no—
284C22×Q8—21no—
285C22×D4—22no—
286C22×D4—22no—
287C22×D4—21no—
288C22×D4—21no—
289C22×D4C2×D411yescharacteristic
290C22×D4C2412yes—
291C23×C4—22no—
292C23×C4—22no—
293C23×C4—22no—
294C23×C4—22no—
295C23×C4C2×D411yescharacteristic
296C23×C4C2×D411yescharacteristic
297C23×C4C2×D411yescharacteristic
298C23×C4C2×D411yescharacteristic
299C23×C4C2411yescharacteristic
300C23×C4C2411yescharacteristic
301C22×C8C2412yes—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C22×C8C2412yes—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8—22no—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—44no—
312C4⋊Q8—82no—
313#127—22no—
314#127#4114yes—
315#125—44no—
316#124—44no—
317#124—44no—
318#123—48no—
319#123—48no—
320C22⋊Q8—44no—
321C22⋊Q8—44no—
322C22⋊Q8—44no—
323C22⋊Q8—82no—
324#121—24no—
325#121—24no—
326#121—42no—
327#121—42no—
328#121—44no—
329#121—44no—
330#121—48no—
331C4×Q8—82no—
332C4×D4—24no—
333C4×D4—24no—
334C4×D4—24no—
335C4×D4—24no—
336C4×D4—28no—
337C4×D4—42no—
338C4×D4—42no—
339C4×D4—42no—
340C4×D4—44no—
341C4×D4—44no—
342C4×D4—44no—
343C4×D4—44no—
344#117—44no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—44no—
371C2×C4⋊C4—48no—
372C2×C4⋊C4—44no—
373C2×C4⋊C4—82no—
374C2×C4⋊C4C2×D411yescharacteristic
375C2×C4⋊C4C2×D411yescharacteristic
376C2×C4⋊C4C2×D411yescharacteristic
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2412yes—
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2412yes—
381C2×C4⋊C4C2412yes—
382C2×C4⋊C4C2412yes—
383C2×C4⋊C4C2412yes—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4C2×D411yescharacteristic
397C2×C22⋊C4C2×D411yescharacteristic
398C2×C22⋊C4C2×D411yescharacteristic
399C2×C22⋊C4C2×D411yescharacteristic
400C2×C22⋊C4C2×D411yescharacteristic
401C2×C22⋊C4C2×D411yescharacteristic
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42—22no—
407C2×C42—22no—
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421#106—44no—
422#106—44no—
423C4⋊C8—24no—
424C4⋊C8—42no—
425C4⋊C8—42no—
426#102—28no—
427#102—44no—
428#102—44no—
429#102—44no—
430C22⋊C8—42no—
431C22⋊C8—42no—
432C22⋊C8—42no—
433C22⋊C8—42no—
434#97—24no—
435#97—42no—
436C4×C8—22no—
437C4×C8—22no—
438C4×C8—22no—
439C4×C8—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95C2×D411yescharacteristic
455#95C2×D411yescharacteristic
456#95C2×D411yescharacteristic
457#95C2×D411yescharacteristic
458#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460C24—22no—
461C24C22×D411yescharacteristic
462C24C22×D411yescharacteristic
463#41—816no—
464#41—816no—
465C2×Q8—42no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×Q8—42no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—24no—
477C2×D4—24no—
478C2×D4—22no—
479C2×D4—24no—
480C2×D4—24no—
481C2×D4—41no—
482C2×D4—44no—
483C2×D4—44no—
484C2×D4—44no—
485C2×D4—44no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—82no—
491C2×D4—82no—
492C2×D4C2×#4114yes—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—82no—
528C22×C4—82no—
529C22×C4—82no—
530C22×C4—82no—
531C22×C4AGL(1,ℤ/8)14yes—
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C2511yescharacteristic
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—41no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C4⋊C4—44no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—44no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—44no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—42no—
585C4⋊C4—42no—
586C4⋊C4—42no—
587C4⋊C4—82no—
588C4⋊C4—82no—
589C4⋊C4—82no—
590C4⋊C4—82no—
591C4⋊C4—82no—
592C4⋊C4—82no—
593C4⋊C4—82no—
594C4⋊C4—82no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—41no—
600C22⋊C4—41no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—44no—
606C22⋊C4—44no—
607C22⋊C4—44no—
608C22⋊C4—44no—
609C22⋊C4—44no—
610C22⋊C4—44no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—22no—
621C42—21no—
622C42—21no—
623C42—21no—
624C42—21no—
625C42—22no—
626C42—82no—
627C42—82no—
628C42C2×#4112yes—
629C42H(5,𝔽2)12yes—
630C422−1+414yes—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—21no—
638C23—24no—
639C23—21no—
640C23—21no—
641C23—21no—
642C23—21no—
643C23—21no—
644C23—21no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23C2×AGL(1,ℤ/8)12yes—
652C23C23×D411yescharacteristic
653Q8—84no—
654Q8—84no—
655Q8—84no—
656D4—28no—
657D4—44no—
658D4—44no—
659D4—48no—
660D4—48no—
661D4—88no—
662D4—88no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—28no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—88no—
720C2×C4—88no—
721C2×C4—88no—
722C2×C4—164no—
723C2×C4#53612yes—
724C2×C4#53612yes—
725C2×C4#54612yes—
726C2×C4#54612yes—
727C2×C4C2×AGL(1,ℤ/8)12yes—
728C2×C4C2×AGL(1,ℤ/8)12yes—
729C2×C4#57512yes—
730C2×C4#57712yes—
731C2×C4#57712yes—
732C2×C4C22×#4111yescharacteristic
733C2×C4C2×H(5,𝔽2)11yescharacteristic
734C2×C4C2×2−1+412yes—
735C2×C4#58512yes—
736C8—42no—
737C8—42no—
738C8—42no—
739C8—42no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—44no—
749C22—41no—
750C22—41no—
751C22—41no—
752C22—41no—
753C22—44no—
754C22—41no—
755C22—44no—
756C22—41no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22C2×#53611yescharacteristic
762C22C2×#54611yescharacteristic
763C22#350011yescharacteristic
764C22C22×AGL(1,ℤ/8)11yescharacteristic
765C22C2×#57511yescharacteristic
766C22C2×#57711yescharacteristic
767C22C2×#57711yescharacteristic
768C4—22no—
769C4—22no—
770C4—22no—
771C4—41no—
772C4—41no—
773C4—41no—
774C4—41no—
775C4—41no—
776C4—41no—
777C4—41no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4#330714yes—
786C4#331014yes—
787C4#351512yes—
788C4#354712yes—
789C2—42no—
790C2—81no—
791C2—84no—
792C2#3895511yescharacteristic
793C2#6086411yescharacteristic
794C2#6088111yescharacteristic
795C2C2×#331011yescharacteristic
796C2C2×#330711yescharacteristic
797C2#6254111yescharacteristic
798C2#6254311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36127C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36189C2semidirect
3. #33294C2semidirect
4. #31370C2semidirect
5. #31369C2semidirect
6. #29877C2semidirect
7. #29877C2semidirect
8. #29143C2semidirect
9. #28687C2semidirect
10. #27962C2semidirect
11. #27960C2semidirect
12. #26118C2semidirect
13. #25671C2semidirect
14. #25671C2semidirect
15. #24982C2semidirect
16. #21863C2semidirect
17. #21859C2semidirect
18. #21646C2semidirect
19. #21265C2semidirect

Maximal subgroups

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

subgroupindex
#361892
#361272
#332942
#313702
#313692
#298772
#291432
#286872
#279622
#279602
#261182
#256712
#249822
#218632
#218592
#216462
#212652