Finite Group Databasebeta

← #6798569

Subgroups — #6798569

Order 512.

1716 conjugacy classes of subgroups.

The subgroup lattice has 805 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36188C211yesmaximal, characteristic, complemented
2#36150C211yesmaximal, characteristic
3#33230C211yesmaximal, characteristic, complemented
4#31861C214yesmaximal, complemented
5#31859C214yesmaximal, complemented
6#29808C211yesmaximal, characteristic, complemented
7#29807C211yesmaximal, characteristic, complemented
8#29218C211yesmaximal, characteristic, complemented
9#28444C211yesmaximal, characteristic, complemented
10#27975C211yesmaximal, characteristic, complemented
11#27974C211yesmaximal, characteristic, complemented
12#25600C211yesmaximal, characteristic, complemented
13#25597C211yesmaximal, characteristic, complemented
14#25580C214yesmaximal, complemented
15#25337C214yesmaximal, complemented
16#21864C211yesmaximal, characteristic, complemented
17#21863C211yesmaximal, characteristic, complemented
18#21647C211yesmaximal, characteristic, complemented
19#21265C211yesmaximal, characteristic, complemented
20C2×#556C2212yes—
21C2×#533C2211yescharacteristic
22C2×#532C2211yescharacteristic
23C2×#494C2211yescharacteristic
24C2×#492C2211yescharacteristic
25C2×#489C2214yes—
26C2×#487C2211yescharacteristic
27C2×#464C2214yes—
28C2×#431C2211yescharacteristic
29C2×#431C2211yescharacteristic
30#2868C2211yescharacteristic
31#2858C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2857C2211yescharacteristic
35#2856C2211yescharacteristic
36#2568C2212yes—
37#2547—21no—
38#2547—21no—
39#2540C2212yes—
40#2499C2212yes—
41#2499C2212yes—
42#2496—21no—
43#2496—21no—
44#2496—21no—
45#2496—21no—
46#2490—21no—
47#2454—21no—
48#2448—21no—
49#2427C2212yes—
50#2426—21no—
51#2426C2212yes—
52#2414—21no—
53#2407—21no—
54#2367C2212yes—
55#2365—21no—
56#2365—21no—
57#2363—21no—
58#2341—21no—
59C4×C4⋊Q8C2211yescharacteristic
60C4×C4⋊Q8C2211yescharacteristic
61#2285C2211yescharacteristic
62#2285C2211yescharacteristic
63C42×D4C2211yescharacteristic
64#2100C2214yes—
65#2074C2214yes—
66#2073C2214yes—
67#2056C2214yes—
68#2055C2214yes—
69#2015C2214yes—
70#2001C2214yes—
71#2001C2214yes—
72#2000C2214yes—
73#2000C2214yes—
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1987C2214yes—
78#1959C2214yes—
79#1957C2211yescharacteristic
80#1957C2211yescharacteristic
81#1957C2211yescharacteristic
82#1956C2211yescharacteristic
83#1956C2211yescharacteristic
84#1956C2211yescharacteristic
85#1956C2211yescharacteristic
86#1955C2212yes—
87#1940C2212yes—
88#1935C2214yes—
89#1924C2212yes—
90#1924C2212yes—
91#1878C2214yes—
92#1877C2214yes—
93#1875C2214yes—
94#1875C2214yes—
95#1873C2214yes—
96#1873C2214yes—
97#1834C2211yescharacteristic
98#1834C2211yescharacteristic
99#1834C2211yescharacteristic
100#1805C2214yes—
101#1804C2214yes—
102C4×C4⋊C8C2211yescharacteristic
103#1763C2214yes—
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106C4×#97C2211yescharacteristic
107C22×#41—21no—
108C22×Q16C2314yes—
109C22×SD16C2314yes—
110#556—48no—
111#533—24no—
112#533—42no—
113#532—24no—
114#532—42no—
115C2×C4⋊Q8—21no—
116C2×C4⋊Q8—21no—
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2311yescharacteristic
119C2×C4⋊Q8C2312yes—
120C2×C4⋊Q8C2311yescharacteristic
121C2×#127C2311yescharacteristic
122C2×#126—22no—
123C2×#126—22no—
124C2×#125—21no—
125C2×#124—22no—
126C2×#124—21no—
127C2×#124C2312yes—
128C2×#124C2312yes—
129C2×C22⋊Q8—21no—
130C2×C22⋊Q8C2312yes—
131C2×C22⋊Q8C2312yes—
132C2×C22⋊Q8C2312yes—
133C2×C22⋊Q8C2312yes—
134C2×#121—21no—
135C2×#121—21no—
136C2×#121—21no—
137C2×#121C2312yes—
138C2×#121C2312yes—
139C2×C4×Q8—22no—
140C2×C4×Q8—21no—
141C2×C4×Q8—21no—
142C2×C4×Q8C2312yes—
143C2×C4×Q8C2312yes—
144C2×C4×D4—21no—
145C2×C4×D4D411yescharacteristic
146C2×C4×D4D411yescharacteristic
147C2×C4×D4C2312yes—
148C2×C4×D4C2311yescharacteristic
149C2×#117—21no—
150C2×#117C2312yes—
151C2×#117C2312yes—
152C22×C42C2311yescharacteristic
153C22×C42C2311yescharacteristic
154#494—42no—
155#492—42no—
156#489—48no—
157#487—24no—
158#464—48no—
159#431—42no—
160#431—42no—
161C2×C4⋊C8C2312yes—
162C2×C4⋊C8C2312yes—
163C2×C4⋊C8C2312yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×C22⋊C8C2312yes—
173C2×C22⋊C8C2312yes—
174C2×C22⋊C8C2312yes—
175C2×C22⋊C8C2312yes—
176C2×#97C2312yes—
177C2×#97C2312yes—
178C2×C4×C8C2311yescharacteristic
179C2×C4×C8C2311yescharacteristic
180C2×C4×C8C2311yescharacteristic
181C2×C4×C8C2311yescharacteristic
182#400—22no—
183#400—22no—
184#399—22no—
185#397—22no—
186#397—22no—
187#397—22no—
188#397—22no—
189#397—22no—
190#396—22no—
191#394—22no—
192#394—22no—
193#392—22no—
194#391—22no—
195#391—22no—
196#391—21no—
197#391C2312yes—
198#391C2312yes—
199#391C2312yes—
200#391C2312yes—
201#390—22no—
202#390—22no—
203#390—22no—
204#390—21no—
205#390—21no—
206#390—21no—
207#390—21no—
208#390—21no—
209#390—21no—
210#390C2312yes—
211#389—21no—
212#389—21no—
213#389—21no—
214#389—21no—
215#389—21no—
216#389—21no—
217#389—21no—
218#389—21no—
219#389—21no—
220#389C2312yes—
221#388—22no—
222#388—22no—
223#388—22no—
224#387—22no—
225#387—22no—
226#387—22no—
227#387—22no—
228#386—22no—
229#385—22no—
230#384—21no—
231#384—21no—
232#384C2311yescharacteristic
233#384C2311yescharacteristic
234#384C2311yescharacteristic
235#384C2311yescharacteristic
236#384C2312yes—
237#382C2312yes—
238#382C2312yes—
239#380—21no—
240#380—21no—
241#380—21no—
242#380—21no—
243#380—21no—
244#380—21no—
245#380—21no—
246#380—21no—
247#380—21no—
248#380—21no—
249#380—22no—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4—21no—
256C4×C4⋊C4—21no—
257C4×C4⋊C4D411yescharacteristic
258C4×C4⋊C4D411yescharacteristic
259C4×C4⋊C4C2312yes—
260C4×C4⋊C4C2311yescharacteristic
261C4×C22⋊C4—22no—
262C4×C22⋊C4D411yescharacteristic
263C4×C22⋊C4D411yescharacteristic
264C4×C22⋊C4D411yescharacteristic
265C4×C22⋊C4D411yescharacteristic
266C4×C22⋊C4C2311yescharacteristic
267C4×C22⋊C4C2311yescharacteristic
268C43C2311yescharacteristic
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#340C2314yes—
274#340C2314yes—
275#336C2312yes—
276#336C2312yes—
277#336C2312yes—
278C2×#41—44no—
279C2×#41—44no—
280C2×#41—82no—
281C22×Q8—21no—
282C22×Q8—22no—
283C22×Q8C2412yes—
284C22×Q8C2412yes—
285C22×D4—22no—
286C22×D4—22no—
287C22×D4—21no—
288C22×D4—21no—
289C22×D4C2×D411yescharacteristic
290C22×D4C2412yes—
291C23×C4—22no—
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D411yescharacteristic
296C23×C4C2411yescharacteristic
297C23×C4C2411yescharacteristic
298C2×Q16—44no—
299C2×Q16—44no—
300C2×Q16—44no—
301C2×SD16—44no—
302C2×SD16—44no—
303C2×SD16—44no—
304C22×C8C2412yes—
305C22×C8C2412yes—
306C22×C8C2412yes—
307C22×C8C2412yes—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—28no—
312C4⋊Q8—22no—
313C4⋊Q8—22no—
314C4⋊Q8—44no—
315C4⋊Q8—44no—
316C4⋊Q8#4114yes—
317#127—22no—
318#127—22no—
319#126—48no—
320#126—48no—
321#125—44no—
322#124—28no—
323#124—44no—
324#124—44no—
325#124—48no—
326C22⋊Q8—24no—
327C22⋊Q8—42no—
328C22⋊Q8—44no—
329C22⋊Q8—44no—
330C22⋊Q8—44no—
331C22⋊Q8—44no—
332#121—24no—
333#121—42no—
334#121—44no—
335#121—44no—
336#121—44no—
337#121—82no—
338C4×Q8—24no—
339C4×Q8—28no—
340C4×Q8—42no—
341C4×Q8—44no—
342C4×Q8—48no—
343C4×Q8—82no—
344C4×D4—24no—
345C4×D4—24no—
346C4×D4—42no—
347C4×D4—44no—
348C4×D4—42no—
349C4×D4—42no—
350#117—44no—
351#117—44no—
352#117—44no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—22no—
375C2×C4⋊C4—22no—
376C2×C4⋊C4C2×D411yescharacteristic
377C2×C4⋊C4C2×D411yescharacteristic
378C2×C4⋊C4C2×D411yescharacteristic
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⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4C2×D411yescharacteristic
400C2×C22⋊C4C2×D411yescharacteristic
401C2×C22⋊C4C2×D411yescharacteristic
402C2×C22⋊C4C2×D411yescharacteristic
403C2×C22⋊C4C2×D411yescharacteristic
404C2×C22⋊C4C2×D411yescharacteristic
405C2×C42—22no—
406C2×C42—22no—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42—22no—
413C2×C42—22no—
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2×D411yescharacteristic
418C2×C42C2×D411yescharacteristic
419C2×C42C2×D411yescharacteristic
420C2×C42C2×D411yescharacteristic
421C2×C42C2×D411yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424C2×C42C2411yescharacteristic
425C2×C42C2411yescharacteristic
426C2×C42C2411yescharacteristic
427C4⋊C8—24no—
428C4⋊C8—42no—
429C4⋊C8—42no—
430#103—28no—
431#103—44no—
432#103—44no—
433#103—44no—
434#103—44no—
435#102—44no—
436#102—44no—
437#102—44no—
438C22⋊C8—42no—
439C22⋊C8—42no—
440C22⋊C8—42no—
441C22⋊C8—42no—
442#97—24no—
443#97—42no—
444C4×C8—22no—
445C4×C8—22no—
446C4×C8—22no—
447C4×C8—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456#95—22no—
457#95—22no—
458#95—22no—
459#95—22no—
460#95—22no—
461#95—22no—
462#95C2×D411yescharacteristic
463#95C2×D411yescharacteristic
464#95C2×D411yescharacteristic
465#95C2×D411yescharacteristic
466#95C2×D411yescharacteristic
467#95C2×D411yescharacteristic
468C24—22no—
469C24C22×D411yescharacteristic
470C24C22×D411yescharacteristic
471#41—816no—
472C2×Q8—24no—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—24no—
476C2×Q8—24no—
477C2×Q8—22no—
478C2×Q8—22no—
479C2×Q8—24no—
480C2×Q8—24no—
481C2×Q8—44no—
482C2×Q8—44no—
483C2×Q8—44no—
484C2×Q8—42no—
485C2×Q8—42no—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—24no—
491C2×D4—41no—
492C2×D4—41no—
493C2×D4—44no—
494C2×D4—44no—
495C2×D4—44no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—82no—
503C2×D4—82no—
504C2×D4—82no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
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—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—82no—
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×C4C22×D411yescharacteristic
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C2511yescharacteristic
548Q16—88no—
549SD16—88no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C4⋊C4—22no—
563C4⋊C4—24no—
564C4⋊C4—22no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—41no—
570C4⋊C4—41no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C4⋊C4—44no—
574C4⋊C4—44no—
575C4⋊C4—44no—
576C4⋊C4—44no—
577C4⋊C4—44no—
578C4⋊C4—44no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—42no—
585C4⋊C4—42no—
586C4⋊C4—42no—
587C4⋊C4—42no—
588C4⋊C4—42no—
589C4⋊C4—42no—
590C4⋊C4—42no—
591C4⋊C4—82no—
592C4⋊C4—82no—
593C4⋊C4C2×#4114yes—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—41no—
597C22⋊C4—41no—
598C22⋊C4—41no—
599C22⋊C4—41no—
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—82no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C22⋊C4—82no—
614C22⋊C4—82no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—22no—
621C42—22no—
622C42—22no—
623C42—21no—
624C42—21no—
625C42—21no—
626C42—21no—
627C42—22no—
628C42—44no—
629C42—44no—
630C42—44no—
631C42—44no—
632C42—82no—
633C42C2×#4112yes—
634C42H(5,𝔽2)14yes—
635C42H(5,𝔽2)12yes—
636C23—21no—
637C23—21no—
638C23—21no—
639C23—21no—
640C23—21no—
641C23—21no—
642C23—21no—
643C23—21no—
644C23—21no—
645C23—21no—
646C23—21no—
647C23—21no—
648C23—21no—
649C23—21no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—42no—
654C23—42no—
655C23—42no—
656C23—42no—
657C23C23×D411yescharacteristic
658Q8—48no—
659Q8—44no—
660Q8—44no—
661Q8—44no—
662Q8—44no—
663Q8—88no—
664D4—44no—
665D4—44no—
666D4—44no—
667D4—88no—
668D4—84no—
669D4—84no—
670D4—164no—
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—24no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
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—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
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—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—88no—
729C2×C4#53512yes—
730C2×C4#53512yes—
731C2×C4#54612yes—
732C2×C4#54612yes—
733C2×C4#57512yes—
734C2×C4#57512yes—
735C2×C4#57712yes—
736C2×C4#57812yes—
737C2×C4C22×#4111yescharacteristic
738C2×C4C2×H(5,𝔽2)12yes—
739C2×C4C2×H(5,𝔽2)11yescharacteristic
740C2×C4#58512yes—
741C8—42no—
742C8—42no—
743C8—42no—
744C8—42no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—41no—
752C22—41no—
753C22—41no—
754C22—41no—
755C22—41no—
756C22—41no—
757C22—41no—
758C22—41no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22C2×#53511yescharacteristic
767C22C2×#54611yescharacteristic
768C22#350011yescharacteristic
769C22C2×#57511yescharacteristic
770C22C2×#57511yescharacteristic
771C22C2×#57711yescharacteristic
772C22C2×#57811yescharacteristic
773C4—22no—
774C4—22no—
775C4—41no—
776C4—41no—
777C4—41no—
778C4—41no—
779C4—41no—
780C4—41no—
781C4—44no—
782C4—41no—
783C4—41no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4—82no—
789C4—82no—
790C4#331114yes—
791C4#331314yes—
792C4#351712yes—
793C4#354612yes—
794C2—81no—
795C2—81no—
796C2—162no—
797C2#3895611yescharacteristic
798C2#6080111yescharacteristic
799C2#6082411yescharacteristic
800C2C2×#331111yescharacteristic
801C2C2×#331311yescharacteristic
802C2#6254411yescharacteristic
803C2#6254511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36150C2
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. #36188C2semidirect
3. #33230C2semidirect
4. #31861C2semidirect
5. #31859C2semidirect
6. #29808C2semidirect
7. #29807C2semidirect
8. #29218C2semidirect
9. #28444C2semidirect
10. #27975C2semidirect
11. #27974C2semidirect
12. #25600C2semidirect
13. #25597C2semidirect
14. #25580C2semidirect
15. #25337C2semidirect
16. #21864C2semidirect
17. #21863C2semidirect
18. #21647C2semidirect
19. #21265C2semidirect

Maximal subgroups

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

subgroupindex
#361882
#361502
#332302
#318612
#318592
#298082
#298072
#292182
#284442
#279752
#279742
#256002
#255972
#255802
#253372
#218642
#218632
#216472
#212652