Finite Group Databasebeta

← #6482940

Subgroups — #6482940

Order 512.

1894 conjugacy classes of subgroups.

The subgroup lattice has 837 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36624C211yesmaximal, characteristic
2#34012C211yesmaximal, characteristic, complemented
3#33097C214yesmaximal, complemented
4#29896C214yesmaximal, complemented
5#27897C212yesmaximal, complemented
6#27897C212yesmaximal, complemented
7#27883C212yesmaximal, complemented
8#27882C212yesmaximal, complemented
9#27627C212yesmaximal, complemented
10#27626C212yesmaximal, complemented
11#27625C212yesmaximal, complemented
12#27624C212yesmaximal, complemented
13#21988C211yesmaximal, characteristic, complemented
14#21988C211yesmaximal, characteristic, complemented
15#21869C211yesmaximal, characteristic, complemented
16#21869C211yesmaximal, characteristic, complemented
17#20715C211yesmaximal, characteristic, complemented
18C2×#532C2211yescharacteristic
19C2×#525—21no—
20C23×C42C2211yescharacteristic
21C2×#432C2211yescharacteristic
22C2×#432C2211yescharacteristic
23#2857C2211yescharacteristic
24#2857C2211yescharacteristic
25#2856C2211yescharacteristic
26#2856C2211yescharacteristic
27#2854—21no—
28#2854C2212yes—
29#2850—21no—
30#2850—21no—
31#2847—21no—
32#2847C2212yes—
33C4×#121—21no—
34C4×#121—21no—
35C4×#121C2212yes—
36C4×#121C2212yes—
37#2297—21no—
38#2285C2211yescharacteristic
39#2285C2211yescharacteristic
40#2285C2211yescharacteristic
41#2285C2211yescharacteristic
42#2285C2211yescharacteristic
43#2285C2211yescharacteristic
44#2285C2211yescharacteristic
45#2283—21no—
46#2283—21no—
47#2283—21no—
48#2283—21no—
49#2283C2212yes—
50#2283C2212yes—
51#2280—21no—
52#2280—21no—
53#2280C2212yes—
54C4×#117—21no—
55C4×#117—21no—
56C4×#117C2212yes—
57#2077C2214yes—
58#2077C2214yes—
59#2076C2214yes—
60#2075C2214yes—
61#2034C2214yes—
62#2034C2214yes—
63#2033C2214yes—
64#2033C2214yes—
65#1993C2212yescomplemented
66#1993C2212yescomplemented
67#1961C2212yescomplemented
68#1961C2212yescomplemented
69#1948C2212yescomplemented
70#1948C2212yescomplemented
71#1947C2212yescomplemented
72#1947C2212yescomplemented
73#1926C2214yescomplemented
74#1926C2214yescomplemented
75#1925C2214yescomplemented
76#1925C2214yescomplemented
77#1921C2214yescomplemented
78#1920C2214yescomplemented
79#1919C2214yescomplemented
80#1918C2214yescomplemented
81#1875C2214yes—
82#1875C2214yes—
83#1854C2214yes—
84#1854C2214yes—
85#1847C2212yescomplemented
86#1847C2212yescomplemented
87#1836C2212yescomplemented
88#1836C2212yescomplemented
89#1817C2212yes—
90#1802C2212yescomplemented
91#1802C2212yescomplemented
92#1802C2212yescomplemented
93#1802C2212yescomplemented
94#1797C2212yes—
95#1797C2212yes—
96#1779C2212yes—
97#1749C2212yes—
98#1749C2212yes—
99C22×#41—21no—
100C24×C4D411yescharacteristic
101C24×C4D411yescharacteristic
102C24×C4C2311yescharacteristic
103#532—24no—
104#532—24no—
105C2×C4⋊Q8C2311yescharacteristic
106C2×#127C2311yescharacteristic
107C2×#124—21no—
108#525—48no—
109C2×#123—22no—
110C2×C22⋊Q8—21no—
111C2×C22⋊Q8—21no—
112C2×#121—21no—
113C2×#121—21no—
114C2×#121—21no—
115C2×#121—21no—
116C2×#121—21no—
117C2×#121C2312yes—
118C2×#121C2312yes—
119C2×#121C2312yes—
120C2×#120—22no—
121C2×C4×D4—22no—
122C2×C4×D4—22no—
123C2×C4×D4—21no—
124C2×C4×D4C2312yes—
125C2×#117—21no—
126C2×#117—21no—
127C2×#117—21no—
128C2×#117—21no—
129C2×#117—21no—
130C2×#117C2312yes—
131C2×#117C2312yes—
132C22×C42—24no—
133C22×C42—24no—
134C22×C42D411yescharacteristic
135C22×C42D411yescharacteristic
136C22×C42D411yescharacteristic
137C22×C42D411yescharacteristic
138C22×C42D411yescharacteristic
139C22×C42D411yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146#432—24no—
147#432—24no—
148C2×#107C2314yes—
149C2×#107C2314yes—
150C2×#106C2314yes—
151C2×#106C2314yes—
152C2×C4⋊C8C2312yes—
153C2×C4⋊C8C2312yes—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2314yes—
161C2×C22⋊C8C2314yes—
162C2×#97C2312yes—
163C2×#97C2312yes—
164#391—21no—
165#391—21no—
166#390—21no—
167#390—21no—
168#390—21no—
169#390—21no—
170#390C2312yes—
171#390C2312yes—
172#389—21no—
173#389—21no—
174#389C2312yes—
175#389C2312yes—
176#388—22no—
177#388—22no—
178#388—22no—
179#388—22no—
180#386—22no—
181#386—22no—
182#386—22no—
183#386—22no—
184#386—22no—
185#386—22no—
186#384C2311yescharacteristic
187#384C2311yescharacteristic
188#384C2311yescharacteristic
189#384C2311yescharacteristic
190#384C2311yescharacteristic
191#384C2311yescharacteristic
192#383—22no—
193#383—22no—
194#382—21no—
195#382—21no—
196#382—21no—
197#382—21no—
198#382—21no—
199#382C2312yes—
200#382C2312yes—
201#381—22no—
202#381—22no—
203#381—22no—
204#380—21no—
205#380—21no—
206#380—21no—
207#380—21no—
208#380—21no—
209#380—21no—
210#380—21no—
211#380—21no—
212#380—21no—
213#380—21no—
214#380—21no—
215#380C2312yes—
216#380C2312yes—
217#380C2312yes—
218#380C2312yes—
219#380C2312yes—
220#380C2312yes—
221#380C2312yes—
222#379—22no—
223C4×C4⋊C4—21no—
224C4×C4⋊C4—21no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4—21no—
227C4×C4⋊C4—21no—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—21no—
232C4×C4⋊C4C2312yes—
233C4×C4⋊C4C2312yes—
234C4×C4⋊C4C2312yes—
235C4×C4⋊C4C2312yes—
236C4×C4⋊C4C2312yes—
237C4×C22⋊C4—22no—
238C4×C22⋊C4—22no—
239C4×C22⋊C4—22no—
240C4×C22⋊C4—22no—
241C4×C22⋊C4—22no—
242C4×C22⋊C4—22no—
243C4×C22⋊C4—22no—
244C4×C22⋊C4—22no—
245#376—22no—
246#376—22no—
247#376—22no—
248C43—22no—
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252#340C2314yes—
253#340C2314yes—
254#340C2314yes—
255#340C2314yes—
256#340C2314yes—
257#336C2314yes—
258#336C2314yes—
259C25C2×D411yescharacteristic
260C2×#41—44no—
261C2×#41—44no—
262C2×#41—44no—
263C22×Q8—21no—
264C22×D4—22no—
265C22×D4—22no—
266C22×D4—22no—
267C22×D4—21no—
268C22×D4—21no—
269C22×D4C2412yes—
270C23×C4—24no—
271C23×C4—24no—
272C23×C4—24no—
273C23×C4—22no—
274C23×C4—22no—
275C23×C4—22no—
276C23×C4—42no—
277C23×C4—42no—
278C23×C4—42no—
279C23×C4—42no—
280C23×C4—42no—
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D411yescharacteristic
296C23×C4C2411yescharacteristic
297C23×C4C2411yescharacteristic
298C23×C4C2411yescharacteristic
299C22×C8C2414yes—
300C22×C8C2414yes—
301C4⋊Q8—22no—
302C4⋊Q8—22no—
303#127—22no—
304#127—22no—
305#124—44no—
306#123—48no—
307C22⋊Q8—44no—
308C22⋊Q8—44no—
309#121—24no—
310#121—24no—
311#121—42no—
312#121—42no—
313#121—42no—
314#121—42no—
315#121—44no—
316#121—44no—
317#121—44no—
318#121—44no—
319#121—44no—
320#120—48no—
321C4×D4—24no—
322C4×D4—24no—
323C4×D4—48no—
324C4×D4—48no—
325C4×D4—44no—
326#117—44no—
327#117—44no—
328#117—44no—
329#117—44no—
330#117—44no—
331#117—44no—
332#117—44no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C42—24no—
373C2×C42—24no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—24no—
377C2×C42—24no—
378C2×C42—24no—
379C2×C42—24no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—22no—
388C2×C42—22no—
389C2×C42—22no—
390C2×C42—22no—
391C2×C42—22no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42#4114yes—
408C2×C42#4114yes—
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413#107—44no—
414#107—44no—
415#106—44no—
416#106—44no—
417C4⋊C8—24no—
418C4⋊C8—24no—
419#102—44no—
420#102—44no—
421#102—44no—
422#102—44no—
423C22⋊C8—24no—
424C22⋊C8—24no—
425C22⋊C8—44no—
426C22⋊C8—44no—
427#97—24no—
428#97—24no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—41no—
452C24—41no—
453C24—41no—
454C24—41no—
455C24C22×D411yescharacteristic
456C24C22×D411yescharacteristic
457C24C22×D411yescharacteristic
458#41—816no—
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—42no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—22no—
468C2×D4—42no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—42no—
472C2×D4—44no—
473C2×D4—44no—
474C2×D4—44no—
475C2×D4—44no—
476C2×D4—44no—
477C2×D4—44no—
478C2×D4—44no—
479C2×D4—44no—
480C2×D4—44no—
481C2×D4—42no—
482C2×D4—42no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
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—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4—41no—
529C22×C4—41no—
530C22×C4—41no—
531C22×C4—41no—
532C22×C4—41no—
533C22×C4—41no—
534C22×C4—41no—
535C22×C4—41no—
536C22×C4—41no—
537C22×C4—41no—
538C22×C4—41no—
539C22×C4—41no—
540C22×C4—41no—
541C22×C4—41no—
542C22×C4—416no—
543C22×C4—416no—
544C22×C4—48no—
545C22×C4—48no—
546C22×C4—44no—
547C22×C4—44no—
548C22×C4—44no—
549C22×C4#12314yes—
550C22×C4#12314yes—
551C22×C4AGL(1,ℤ/8)14yes—
552C22×C4C22×D411yescharacteristic
553C22×C4C22×D411yescharacteristic
554C22×C4C22×D411yescharacteristic
555C22×C4C22×D411yescharacteristic
556C22×C4C22×D411yescharacteristic
557C22×C4C22×D411yescharacteristic
558C22×C4C22×D411yescharacteristic
559C22×C4C22×D411yescharacteristic
560C22×C4C22×D411yescharacteristic
561C22×C4C22×D411yescharacteristic
562C22×C4C22×D411yescharacteristic
563C22×C4C2×#4112yes—
564C22×C4C2×#4112yes—
565C22×C4C2511yescharacteristic
566C2×C8—24no—
567C2×C8—24no—
568C2×C8—24no—
569C2×C8—24no—
570C2×C8—24no—
571C2×C8—24no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—42no—
585C4⋊C4—42no—
586C4⋊C4—42no—
587C4⋊C4—42no—
588C4⋊C4—44no—
589C4⋊C4—42no—
590C4⋊C4—42no—
591C4⋊C4—42no—
592C4⋊C4—42no—
593C4⋊C4—42no—
594C4⋊C4—44no—
595C4⋊C4—42no—
596C4⋊C4—42no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
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—44no—
612C22⋊C4—44no—
613C22⋊C4—44no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—22no—
621C42—22no—
622C42—22no—
623C42—22no—
624C42—21no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—44no—
629C42—44no—
630C42—44no—
631C42—44no—
632C42—44no—
633C42—44no—
634C42—44no—
635C42#12314yes—
636C42#12314yes—
637C42C2×#4112yes—
638C42C2×#4112yes—
639C42C2×#4112yes—
640C42C2×#4112yes—
641C23—21no—
642C23—21no—
643C23—21no—
644C23—21no—
645C23—21no—
646C23—21no—
647C23—21no—
648C23—21no—
649C23—21no—
650C23—21no—
651C23—21no—
652C23—21no—
653C23—21no—
654C23—21no—
655C23—21no—
656C23—21no—
657C23—21no—
658C23—21no—
659C23—44no—
660C23—44no—
661C23—44no—
662C23—44no—
663C23—44no—
664C23—44no—
665C23—44no—
666C23—42no—
667C23—42no—
668C23—42no—
669C23—42no—
670C23—42no—
671C23—42no—
672C23—42no—
673C23C2×#12312yes—
674C23C2×AGL(1,ℤ/8)12yes—
675C23#57512yes—
676C23C23×D411yescharacteristic
677Q8—84no—
678D4—42no—
679D4—42no—
680D4—42no—
681D4—42no—
682D4—84no—
683D4—84no—
684D4—88no—
685D4—88no—
686D4—88no—
687C2×C4—28no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—21no—
700C2×C4—28no—
701C2×C4—28no—
702C2×C4—24no—
703C2×C4—24no—
704C2×C4—21no—
705C2×C4—21no—
706C2×C4—21no—
707C2×C4—21no—
708C2×C4—21no—
709C2×C4—21no—
710C2×C4—21no—
711C2×C4—21no—
712C2×C4—21no—
713C2×C4—21no—
714C2×C4—21no—
715C2×C4—21no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—42no—
731C2×C4—42no—
732C2×C4—42no—
733C2×C4—42no—
734C2×C4—42no—
735C2×C4—42no—
736C2×C4—42no—
737C2×C4—42no—
738C2×C4—42no—
739C2×C4—42no—
740C2×C4—42no—
741C2×C4—42no—
742C2×C4—42no—
743C2×C4—42no—
744C2×C4—42no—
745C2×C4—42no—
746C2×C4—42no—
747C2×C4—42no—
748C2×C4—42no—
749C2×C4—42no—
750C2×C4—42no—
751C2×C4—42no—
752C2×C4—42no—
753C2×C4—88no—
754C2×C4C2×#12312yes—
755C2×C4C2×#12312yes—
756C2×C4C2×#12312yes—
757C2×C4C2×#12312yes—
758C2×C4C2×#12312yes—
759C2×C4C2×AGL(1,ℤ/8)12yes—
760C2×C4C2×AGL(1,ℤ/8)12yes—
761C2×C4#57512yes—
762C2×C4#57512yes—
763C2×C4C22×#4111yescharacteristic
764C2×C4C22×#4111yescharacteristic
765C2×C4#58512yes—
766C2×C4#58512yes—
767C8—44no—
768C8—44no—
769C22—22no—
770C22—22no—
771C22—22no—
772C22—22no—
773C22—22no—
774C22—22no—
775C22—22no—
776C22—22no—
777C22—22no—
778C22—416no—
779C22—41no—
780C22—41no—
781C22—41no—
782C22—41no—
783C22—41no—
784C22—41no—
785C22—41no—
786C22—41no—
787C22—41no—
788C22—41no—
789C22—41no—
790C22—41no—
791C22—82no—
792C22—82no—
793C22—82no—
794C22—82no—
795C22—82no—
796C22—82no—
797C22—82no—
798C22C22×#12311yescharacteristic
799C22#344911yescharacteristic
800C22#344911yescharacteristic
801C22C22×AGL(1,ℤ/8)11yescharacteristic
802C22C2×#57511yescharacteristic
803C22C2×#57511yescharacteristic
804C22C2×#57511yescharacteristic
805C4—22no—
806C4—22no—
807C4—22no—
808C4—22no—
809C4—22no—
810C4—22no—
811C4—41no—
812C4—41no—
813C4—41no—
814C4—41no—
815C4—82no—
816C4—82no—
817C4—82no—
818C4—82no—
819C4—82no—
820C4—82no—
821C4—82no—
822C4#309414yes—
823C4#349312yes—
824C4#349312yes—
825C2—42no—
826C2—42no—
827C2—42no—
828C2—162no—
829C2#3515711yescharacteristic
830C2C2×#309411yescharacteristic
831C2#6051111yescharacteristic
832C2#6095111yescharacteristic
833C2#6095311yescharacteristic
834C2#6096111yescharacteristic
835C2#6096211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36624C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34012C2semidirect
3. #33097C2semidirect
4. #29896C2semidirect
5. #27897C2semidirect
6. #27897C2semidirect
7. #27883C2semidirect
8. #27882C2semidirect
9. #27627C2semidirect
10. #27626C2semidirect
11. #27625C2semidirect
12. #27624C2semidirect
13. #21988C2semidirect
14. #21988C2semidirect
15. #21869C2semidirect
16. #21869C2semidirect
17. #20715C2semidirect
65. #1993C22semidirect
66. #1993C22semidirect
67. #1961C22semidirect
68. #1961C22semidirect
69. #1948C22semidirect
70. #1948C22semidirect
71. #1947C22semidirect
72. #1947C22semidirect
73. #1926C22semidirect
74. #1926C22semidirect
75. #1925C22semidirect
76. #1925C22semidirect
77. #1921C22semidirect
78. #1920C22semidirect
79. #1919C22semidirect
80. #1918C22semidirect
85. #1847C22semidirect
86. #1847C22semidirect
87. #1836C22semidirect
88. #1836C22semidirect
90. #1802C22semidirect
91. #1802C22semidirect
92. #1802C22semidirect
93. #1802C22semidirect

Maximal subgroups

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

subgroupindex
#366242
#340122
#330972
#298962
#278972
#278832
#278822
#276272
#276262
#276252
#276242
#219882
#218692
#207152