Finite Group Databasebeta

← #6494858

Subgroups — #6494858

Order 512.

1678 conjugacy classes of subgroups.

The subgroup lattice has 791 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36645C211yesmaximal, characteristic, complemented
2C4×#529C211yesmaximal, characteristic
3#33200C212yesmaximal, complemented
4#33199C212yesmaximal, complemented
5#29985C212yesmaximal, complemented
6#29982C212yesmaximal, complemented
7#29227C212yesmaximal, complemented
8#29213C211yesmaximal, characteristic, complemented
9#29213C211yesmaximal, characteristic, complemented
10#29148C211yesmaximal, characteristic, complemented
11#29148C211yesmaximal, characteristic, complemented
12#28517C212yesmaximal, complemented
13#27682C212yesmaximal, complemented
14#27679C212yesmaximal
15#24306C212yesmaximal, complemented
16#24304C212yesmaximal
17#21989C212yesmaximal, complemented
18#21868C212yesmaximal
19#20810C211yesmaximal, characteristic, complemented
20C2×#533C2212yes—
21C2×#529C2211yescharacteristic
22C2×#479C2214yes—
23C2×#478C2214yes—
24C2×#432C2212yes—
25#2868C2211yescharacteristic
26#2868C2211yescharacteristic
27#2862C2212yes—
28#2859C2212yes—
29#2859C2212yes—
30#2857—21no—
31#2857—21no—
32#2857—21no—
33#2857—21no—
34C4×C4⋊Q8—21no—
35C4×C4⋊Q8—21no—
36C4×C4⋊Q8—21no—
37C4×C4⋊Q8—21no—
38C4×#125C2211yescharacteristic
39C4×#125C2211yescharacteristic
40C4×#126—21no—
41C4×#126—21no—
42C4×#124C2211yescharacteristic
43C4×#124C2211yescharacteristic
44C4×C22⋊Q8C2211yescharacteristic
45C4×C22⋊Q8C2211yescharacteristic
46C4×#123—21no—
47C4×#123—21no—
48C4×#121C2211yescharacteristic
49C4×#121C2211yescharacteristic
50#2298—21no—
51#2295C2211yescharacteristic
52#2293C2211yescharacteristic
53#2290—21no—
54#2285C2212yes—
55#2285C2212yes—
56#2283C2211yescharacteristic
57C42×Q8C2211yescharacteristic
58C42×D4—21no—
59C42×D4C2211yescharacteristic
60C4×#117—21no—
61C2×C43C2211yescharacteristic
62#2101C2214yes—
63#2101C2214yes—
64#2097C2214yes—
65#2092C2214yes—
66#2058C2212yes—
67#2058C2212yes—
68#2057C2212yes—
69#2057C2212yes—
70#2024C2212yes—
71#2024C2212yes—
72#2023C2212yes—
73#2023C2212yes—
74#1992C2212yes—
75#1992C2212yes—
76#1989C2214yes—
77#1989C2214yes—
78#1959C2212yes—
79#1959C2212yes—
80#1949C2214yes—
81#1949C2214yes—
82#1948C2212yes—
83#1948C2212yes—
84#1947C2212yes—
85#1947C2212yes—
86#1875C2214yes—
87#1873C2214yes—
88#1854C2214yes—
89#1854C2214yes—
90#1847C2212yes—
91#1847C2212yes—
92#1842C2212yes—
93#1836C2212yes—
94#1836C2212yes—
95#1831C2212yes—
96#1805C2214yes—
97#1804C2214yes—
98#1803C2212yes—
99#1803C2212yes—
100#1802C2212yes—
101#1802C2212yes—
102#1797C2212yes—
103#1797C2212yes—
104#1767C2211yescharacteristic
105#1767C2211yescharacteristic
106#1767C2212yes—
107#533—48no—
108C2×C4⋊Q8—21no—
109C2×C4⋊Q8—21no—
110C2×C4⋊Q8—21no—
111C2×C4⋊Q8—21no—
112C2×C4⋊Q8C2312yes—
113C2×C4⋊Q8C2312yes—
114#529—24no—
115#529Q818yescomplemented
116C2×#126—21no—
117C2×#125C2314yes—
118C2×#125C2311yescharacteristic
119C2×#124C2311yescharacteristic
120C2×#123—21no—
121C2×C22⋊Q8—22no—
122C2×C22⋊Q8—22no—
123C2×C22⋊Q8C2311yescharacteristic
124C2×#121C2311yescharacteristic
125C2×C4×Q8—22no—
126C2×C4×Q8—22no—
127C2×C4×Q8C2311yescharacteristic
128C2×C4×Q8C2311yescharacteristic
129C2×C4×Q8C2311yescharacteristic
130C2×C4×D4—21no—
131C2×C4×D4—21no—
132C2×C4×D4—21no—
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2311yescharacteristic
135C2×C4×D4C2311yescharacteristic
136C2×#117—21no—
137C2×#117—21no—
138C2×#117C2314yes—
139C22×C42—21no—
140C22×C42D411yescharacteristic
141C22×C42D411yescharacteristic
142C22×C42D411yescharacteristic
143C22×C42D411yescharacteristic
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147#479—48no—
148#478—48no—
149#432—28no—
150C2×#107C2314yes—
151C2×#107C2314yes—
152C2×#106C2314yes—
153C2×#106C2314yes—
154C2×C4⋊C8C2314yes—
155C2×C4⋊C8C2312yes—
156C2×C4⋊C8C2312yes—
157C2×C4⋊C8C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×C22⋊C8C2314yes—
163C2×#97C2312yes—
164C2×#97C2312yes—
165#391—22no—
166#391—22no—
167#391—22no—
168#391—22no—
169#391C2311yescharacteristic
170#391C2311yescharacteristic
171#390C2311yescharacteristic
172#390C2311yescharacteristic
173#389—22no—
174#389—22no—
175#389—22no—
176#389—22no—
177#389—22no—
178#389—22no—
179#389—22no—
180#389—22no—
181#389C2311yescharacteristic
182#389C2311yescharacteristic
183#389C2311yescharacteristic
184#389C2311yescharacteristic
185#388—21no—
186#388—21no—
187#388—21no—
188#388—21no—
189#388—21no—
190#388—21no—
191#388—21no—
192#388—21no—
193#387—21no—
194#387—21no—
195#387—21no—
196#387—21no—
197#387—21no—
198#387—21no—
199#387—21no—
200#387—21no—
201#386—21no—
202#386—21no—
203#385—21no—
204#385—21no—
205#384—21no—
206#384—21no—
207#384—21no—
208#384—21no—
209#384C2312yes—
210#384C2312yes—
211#384C2312yes—
212#384C2312yes—
213#383—21no—
214#382C2311yescharacteristic
215#382C2311yescharacteristic
216#382C2314yes—
217#382C2314yes—
218#381—21no—
219#380—22no—
220#380—22no—
221#380—22no—
222#380—22no—
223#380C2311yescharacteristic
224#380C2311yescharacteristic
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⋊C4—21no—
233C4×C4⋊C4—22no—
234C4×C4⋊C4—22no—
235C4×C4⋊C4—22no—
236C4×C4⋊C4—22no—
237C4×C4⋊C4—21no—
238C4×C4⋊C4—21no—
239C4×C4⋊C4C2311yescharacteristic
240C4×C4⋊C4C2311yescharacteristic
241C4×C4⋊C4C2311yescharacteristic
242C4×C4⋊C4C2311yescharacteristic
243C4×C4⋊C4C2311yescharacteristic
244C4×C4⋊C4C2311yescharacteristic
245C4×C22⋊C4—21no—
246C4×C22⋊C4—21no—
247C4×C22⋊C4—21no—
248C4×C22⋊C4—21no—
249C4×C22⋊C4—21no—
250C4×C22⋊C4—21no—
251C4×C22⋊C4—21no—
252C4×C22⋊C4—21no—
253C4×C22⋊C4—21no—
254C4×C22⋊C4—21no—
255C4×C22⋊C4—21no—
256C4×C22⋊C4—21no—
257C4×C22⋊C4—21no—
258#376—21no—
259#376—21no—
260C43—21no—
261C43D411yescharacteristic
262C43D411yescharacteristic
263C43D411yescharacteristic
264C43D411yescharacteristic
265C43C2311yescharacteristic
266C43C2311yescharacteristic
267C43C2311yescharacteristic
268C43C2311yescharacteristic
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#340C2314yes—
274#340C2314yes—
275#340C2314yes—
276#340C2314yes—
277#336C2312yes—
278#336C2312yes—
279#336C2314yes—
280C22×Q8—22no—
281C22×Q8—22no—
282C22×Q8C2411yescharacteristic
283C22×D4—21no—
284C22×D4C2411yescharacteristic
285C23×C4—21no—
286C23×C4—21no—
287C23×C4—21no—
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2411yescharacteristic
295C22×C8C2414yes—
296C22×C8C2414yes—
297C4⋊Q8—44no—
298C4⋊Q8—44no—
299C4⋊Q8—44no—
300C4⋊Q8—44no—
301C4⋊Q8—44no—
302C4⋊Q8—44no—
303#126—28no—
304#125—22no—
305#125—28no—
306#125—28no—
307#125C2×Q814yes—
308#124—22no—
309#124C2×Q814yes—
310#123—28no—
311C22⋊Q8—22no—
312C22⋊Q8—48no—
313C22⋊Q8—48no—
314C22⋊Q8C2×Q814yes—
315#121—22no—
316#121C2×Q814yes—
317C4×Q8—22no—
318C4×Q8—24no—
319C4×Q8—24no—
320C4×Q8—48no—
321C4×Q8—48no—
322C4×Q8C2×Q814yes—
323C4×D4—28no—
324C4×D4—22no—
325C4×D4—24no—
326C4×D4—24no—
327C4×D4—44no—
328C4×D4—44no—
329C4×D4C2×Q814yes—
330#117—28no—
331#117—44no—
332#117—44no—
333#117—44no—
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—24no—
343C2×C4⋊C4—24no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4C2414yes—
357C2×C4⋊C4C2414yes—
358C2×C4⋊C4C2411yescharacteristic
359C2×C4⋊C4C2411yescharacteristic
360C2×C4⋊C4C2411yescharacteristic
361C2×C4⋊C4C2411yescharacteristic
362C2×C4⋊C4C2411yescharacteristic
363C2×C4⋊C4C2411yescharacteristic
364C2×C22⋊C4—21no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—24no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—21no—
372C2×C22⋊C4—21no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—21no—
377C2×C22⋊C4—21no—
378C2×C42—21no—
379C2×C42—24no—
380C2×C42—24no—
381C2×C42—21no—
382C2×C42—24no—
383C2×C42—21no—
384C2×C42—21no—
385C2×C42—21no—
386C2×C42—21no—
387C2×C42—21no—
388C2×C42—21no—
389C2×C42—21no—
390C2×C42—42no—
391C2×C42—42no—
392C2×C42—42no—
393C2×C42—42no—
394C2×C42—44no—
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×C42C2×D411yescharacteristic
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×C42C2×D411yescharacteristic
417C2×C42C2×Q814yes—
418C2×C42#4114yes—
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424C2×C42C2411yescharacteristic
425#107—44no—
426#107—44no—
427#106—44no—
428#106—44no—
429C4⋊C8—28no—
430C4⋊C8—28no—
431C4⋊C8—24no—
432C4⋊C8—24no—
433#103—44no—
434#103—44no—
435#102—44no—
436#102—44no—
437C22⋊C8—28no—
438#97—24no—
439#97—24no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—24no—
461#95—24no—
462#95—24no—
463#95—24no—
464C24—21no—
465C24C22×D411yescharacteristic
466C2×Q8—21no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—44no—
470C2×Q8—44no—
471C2×Q8—44no—
472C2×Q8—44no—
473C2×Q8—44no—
474C2×Q8—44no—
475C2×Q8C22×Q812yes—
476C2×D4—24no—
477C2×D4—21no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—42no—
481C2×D4—42no—
482C2×D4C22×Q812yes—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—24no—
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—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4C22⋊Q814yes—
520C22×C4C22⋊Q814yes—
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×Q812yes—
535C22×C4C2×#4112yes—
536C22×C4C2511yescharacteristic
537C2×C8—24no—
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C4⋊C4—24no—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—42no—
568C4⋊C4—48no—
569C4⋊C4—48no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—44no—
574C4⋊C4—44no—
575C4⋊C4C22×Q812yes—
576C4⋊C4C22×Q812yes—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—48no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C42—24no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—41no—
607C42—41no—
608C42—41no—
609C42—41no—
610C42—41no—
611C42—41no—
612C42—41no—
613C42—41no—
614C42—42no—
615C42—42no—
616C42—42no—
617C42—48no—
618C42—42no—
619C42—42no—
620C42—42no—
621C42—42no—
622C42—42no—
623C42C22⋊Q814yes—
624C42C22⋊Q814yes—
625C42C22×Q812yes—
626C42C22×Q812yes—
627C42C2×#4112yes—
628C42C2×#4112yes—
629C42H(5,𝔽2)14yes—
630C422−1+414yes—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—22no—
638C23—41no—
639C23—41no—
640C23—41no—
641C23—41no—
642C23—41no—
643C23—41no—
644C23C2×C22⋊Q812yes—
645C23C23×D411yescharacteristic
646Q8—24no—
647Q8—42no—
648Q8—88no—
649Q8—88no—
650D4—24no—
651D4—48no—
652D4—42no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—48no—
689C2×C4—44no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—41no—
708C2×C4—41no—
709C2×C4—41no—
710C2×C4—41no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—84no—
716C2×C4—84no—
717C2×C4C2×C22⋊Q812yes—
718C2×C4C2×C22⋊Q812yes—
719C2×C4C2×C22⋊Q812yes—
720C2×C4C2×C22⋊Q812yes—
721C2×C4C2×C22⋊Q812yes—
722C2×C4#53512yes—
723C2×C4#53512yes—
724C2×C4#53612yes—
725C2×C4#53612yes—
726C2×C4#57512yes—
727C2×C4#57512yes—
728C2×C4#57512yes—
729C2×C4#57512yes—
730C2×C4C23×Q811yescharacteristic
731C2×C4C22×#4111yescharacteristic
732C2×C4C2×H(5,𝔽2)12yes—
733C2×C4C2×2−1+412yes—
734C8—44no—
735C8—44no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—41no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—81no—
747C22—81no—
748C22—81no—
749C22—81no—
750C22C22×C22⋊Q811yescharacteristic
751C22C2×#53511yescharacteristic
752C22C2×#53611yescharacteristic
753C22C2×#57511yescharacteristic
754C22C2×#57511yescharacteristic
755C22C2×#57511yescharacteristic
756C22C2×#57511yescharacteristic
757C4—22no—
758C4—22no—
759C4—22no—
760C4—22no—
761C4—22no—
762C4—22no—
763C4—22no—
764C4—22no—
765C4—22no—
766C4—22no—
767C4—42no—
768C4—42no—
769C4—41no—
770C4—41no—
771C4—42no—
772C4—81no—
773C4—84no—
774C4—81no—
775C4—84no—
776C4—81no—
777C4—81no—
778C4#324014yes—
779C4#350312yes—
780C4#351112yes—
781C2—42no—
782C2—82no—
783C2#3527911yescharacteristic
784C2#6048411yescharacteristic
785C2#6048411yescharacteristic
786C2#6079011yescharacteristic
787C2#6080511yescharacteristic
788C2C2×#324011yescharacteristic
789C2#6086211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#121C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36645C2semidirect
3. #33200C2semidirect
4. #33199C2semidirect
5. #29985C2semidirect
6. #29982C2semidirect
7. #29227C2semidirect
8. #29213C2semidirect
9. #29213C2semidirect
10. #29148C2semidirect
11. #29148C2semidirect
12. #28517C2semidirect
13. #27682C2semidirect
15. #24306C2semidirect
17. #21989C2semidirect
19. #20810C2semidirect
115. #529Q8semidirect

Maximal subgroups

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

subgroupindex
#366452
C4×#5292
#332002
#331992
#299852
#299822
#292272
#292132
#291482
#285172
#276822
#276792
#243062
#243042
#219892
#218682
#208102