Finite Group Databasebeta

← #26221238

Subgroups — #26221238

Order 12032.

1442 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#10625350C211yesmaximal, characteristic
2C2×#15689174C211yesmaximal, characteristic, complemented
3C2×C4×#10625324C211yesmaximal, characteristic, complemented
4#20244326C212yesmaximal, complemented
5#20244184C212yesmaximal, complemented
6#20243684C212yesmaximal, complemented
7#20243682C212yesmaximal, complemented
8C4×(C2×D47)⋊C8C211yesmaximal, characteristic, complemented
9C4×(C2×D47)⋊C8C211yesmaximal, characteristic, complemented
10C4×C22⋊(C47⋊C8)C211yesmaximal, characteristic, complemented
11C4×C22⋊C8×C47C211yesmaximal, characteristic, complemented
12C22×#10625350C411yescharacteristic
13C22×#10625324C2212yes—
14C4×#10625350—24no—
15C4×#10625350—24no—
16C2×C4×Dic94C411yescharacteristic
17C2×C4×Dic94C2211yescharacteristic
18C2×C4×D188C411yescharacteristic
19C2×C4×D188C2211yescharacteristic
20C2×C4×C22⋊D47C411yescharacteristic
21C2×C4×C22⋊D47C411yescharacteristic
22C2×C4×C22⋊D47C2211yescharacteristic
23C2×C4×C22⋊D47C2211yescharacteristic
24C2×#13093983C411yescharacteristic
25C2×#13093981C411yescharacteristic
26C2×#13093981C411yescharacteristic
27C2×C42×D47C2211yescharacteristic
28C2×C42×D47C2211yescharacteristic
29#15689174—24no—
30C2×Dic47⋊C8C2212yes—
31C2×C22⋊(C47⋊C8)C2212yes—
32C2×(C2×D47)⋊C8C2212yes—
33C2×(C2×D47)⋊C8C2212yes—
34C2×(C2×D47)⋊C8C2212yes—
35C4×#10625324—24no—
36C2×#13093934C2212yes—
37C2×C4×C47⋊C8C2211yescharacteristic
38C2×C4×C47⋊C8C2211yescharacteristic
39#15688878C2212yes—
40#15688877C2212yes—
41#15688877C2212yes—
42C22×C42×C47C2211yescharacteristic
43C2×C22⋊C8×C47C2212yes—
44C2×C4×C8×C47C2211yescharacteristic
45C2×C4×C8×C47C2211yescharacteristic
46C47×#336C2212yes—
47C2×#10625350—24no—
48C2×#10625350—24no—
49C2×#10625350—24no—
50C22×Dic94C2×C411yescharacteristic
51C22×D188C2×C411yescharacteristic
52C22×C22⋊D47C2×C411yescharacteristic
53C22×C22⋊D47C2×C411yescharacteristic
54C22×C4×D47C2×C411yescharacteristic
55C22×C4×D47C2×C411yescharacteristic
56C22×C4×D47C2×C411yescharacteristic
57C22×C4×D47C2×C411yescharacteristic
58C22×C4×D47C2311yescharacteristic
59C22×C4×D47C2311yescharacteristic
60C2×#10625324—24no—
61C2×#10625324—24no—
62C2×#10625324—24no—
63C22×C47⋊C8C2312yes—
64C22×C47⋊C8C2312yes—
65C4×Dic94—24no—
66C4×Dic94—22no—
67C4×Dic94—22no—
68C4×D188—24no—
69C4×D188—22no—
70C4×D188—22no—
71C4×C22⋊D47—24no—
72C4×C22⋊D47—22no—
73C4×C22⋊D47—22no—
74C4×C22⋊D47—24no—
75C4×C22⋊D47—22no—
76C4×C22⋊D47—22no—
77#13093983—24no—
78#13093981—24no—
79#13093981—24no—
80C2×C4⋊Dic47C2×C411yescharacteristic
81C2×C4⋊Dic47C2×C411yescharacteristic
82C2×Dic47⋊C4C2×C411yescharacteristic
83C2×Dic47⋊C4C2×C411yescharacteristic
84C2×Dic47⋊C4C2×C411yescharacteristic
85C2×Dic47⋊C4C2×C411yescharacteristic
86C2×C22⋊Dic47C2×C411yescharacteristic
87C2×C22⋊Dic47C2×C411yescharacteristic
88C2×(C2×D47)⋊C4C2×C411yescharacteristic
89C2×(C2×D47)⋊C4C2×C411yescharacteristic
90C2×(C2×D47)⋊C4C2×C411yescharacteristic
91C2×(C2×D47)⋊C4C2×C411yescharacteristic
92C2×C4×Dic47C2×C411yescharacteristic
93C2×C4×Dic47C2×C411yescharacteristic
94C2×C4×Dic47C2×C411yescharacteristic
95C2×C4×Dic47C2×C411yescharacteristic
96C2×C4×Dic47C2311yescharacteristic
97C2×C4×Dic47C2311yescharacteristic
98C42×D47—22no—
99C42×D47—22no—
100C42×D47D414yes—
101C42×D47D414yes—
102Dic47⋊C8—24no—
103C22⋊(C47⋊C8)—24no—
104(C2×D47)⋊C8—24no—
105(C2×D47)⋊C8—24no—
106(C2×D47)⋊C8—24no—
107#13093934—24no—
108C4×C47⋊C8—22no—
109C4×C47⋊C8—22no—
110C23×C4×C47C2×C411yescharacteristic
111C23×C4×C47C2×C411yescharacteristic
112C23×C4×C47C2311yescharacteristic
113C22×C8×C47C2312yes—
114C22×C8×C47C2312yes—
115C2×C42×C47—22no—
116C2×C42×C47—22no—
117C2×C42×C47C2×C411yescharacteristic
118C2×C42×C47C2×C411yescharacteristic
119C2×C42×C47C2311yescharacteristic
120C2×C42×C47C2311yescharacteristic
121C22⋊C8×C47—24no—
122C4×C8×C47—22no—
123C4×C8×C47—22no—
124C24×C47C22×C411yescharacteristic
125C23×D47C22×C411yescharacteristic
126C23×D47C22×C411yescharacteristic
127C22×C4×C47—22no—
128C22×C4×C47—22no—
129C22×C4×C47—22no—
130C22×C4×C47—22no—
131C22×C4×C47—22no—
132C22×C4×C47—21no—
133C22×C4×C47—21no—
134C22×C4×C47—22no—
135C22×C4×C47—22no—
136C22×C4×C47M1614yescomplemented
137C22×C4×C47C22×C411yescharacteristic
138C22×C4×C47C22×C411yescharacteristic
139C22×C4×C47C22×C411yescharacteristic
140C22×C4×C47C22×C411yescharacteristic
141C22×C4×C47C22×C411yescharacteristic
142C22×C4×C47C2411yescharacteristic
143C2×C22⋊D47—22no—
144C2×C22⋊D47—22no—
145C2×C22⋊D47—22no—
146C2×C22⋊D47—22no—
147C2×C22⋊D47—22no—
148C2×C22⋊D47—22no—
149C22×Dic47C22×C411yescharacteristic
150C22×Dic47C22×C411yescharacteristic
151C22×Dic47C22×C411yescharacteristic
152C22×Dic47C22×C411yescharacteristic
153C22×Dic47C22×C411yescharacteristic
154C22×Dic47C22×C411yescharacteristic
155#10625350—232no—
156C2×D188—22no—
157C2×D188—22no—
158C2×D188—22no—
159C2×C4×D47—22no—
160C2×C4×D47—22no—
161C2×C4×D47—22no—
162C2×C4×D47—22no—
163C2×C4×D47—22no—
164C2×C4×D47—22no—
165C2×C4×D47—22no—
166C2×C4×D47—22no—
167C2×C4×D47—22no—
168C2×C4×D47—22no—
169C2×C4×D47—22no—
170C2×C4×D47—21no—
171C2×C4×D47—21no—
172C2×C4×D47—22no—
173C2×C4×D47—22no—
174C2×C4×D47C22⋊C414yes—
175C2×C4×D47C22⋊C414yes—
176C2×C4×D47M1614yescomplemented
177C2×C4×D47C2×D412yes—
178C2×C4×D47C2×D412yes—
179C2×Dic94—22no—
180C2×Dic94—22no—
181C2×Dic94—22no—
182C2×C8×C47—22no—
183C2×C8×C47—22no—
184C2×C8×C47—22no—
185C2×C8×C47—22no—
186C2×C8×C47—22no—
187C2×C8×C47#4114yescomplemented
188C42×C47—22no—
189C42×C47—22no—
190C42×C47—21no—
191C42×C47—21no—
192C42×C47C2×D412yes—
193C42×C47C2×D412yes—
194C22⋊Dic47—22no—
195C22⋊Dic47—22no—
196(C2×D47)⋊C4—22no—
197(C2×D47)⋊C4—22no—
198(C2×D47)⋊C4—22no—
199(C2×D47)⋊C4—22no—
200C4⋊Dic47—22no—
201C4⋊Dic47—22no—
202Dic47⋊C4—22no—
203Dic47⋊C4—22no—
204Dic47⋊C4—22no—
205Dic47⋊C4—22no—
206C4×Dic47—22no—
207C4×Dic47—22no—
208C4×Dic47—21no—
209C4×Dic47—21no—
210C4×Dic47C22⋊C414yes—
211C4×Dic47C22⋊C414yes—
212C4×Dic47C2×D412yes—
213C4×Dic47C2×D412yes—
214C2×C47⋊C8—22no—
215C2×C47⋊C8—22no—
216C2×C47⋊C8—22no—
217C2×C47⋊C8—22no—
218C2×C47⋊C8—22no—
219C2×C47⋊C8#4114yescomplemented
220#10625324—216no—
221C23×C47—21no—
222C23×C47—21no—
223C23×C47—21no—
224C23×C47—21no—
225C23×C47—21no—
226C23×C47—21no—
227C23×C47C2×M1612yes—
228C23×C47C23×C411yescharacteristic
229C22×D47—21no—
230C22×D47—21no—
231C22×D47—21no—
232C22×D47—21no—
233C22×D47—21no—
234C22×D47—21no—
235C22×D47—21no—
236C22×D47—21no—
237C22×D47—21no—
238C22×D47—21no—
239C22×D47—21no—
240C22×D47—21no—
241C22×D47C2×C22⋊C412yes—
242C22×D47C2×M1612yes—
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—28no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—21no—
252C2×C4×C47—42no—
253C2×C4×C47—42no—
254C2×C4×C47—44no—
255C2×C4×C47C2×C22⋊C412yes—
256C2×C4×C47C2×C22⋊C412yes—
257C2×C4×C47C2×M1612yes—
258C2×C4×C47C2×M1612yes—
259C2×C4×C47C2×M1612yes—
260C2×C4×C47#13112yes—
261C2×C4×C47#13112yes—
262C2×C4×C47C22×D411yescharacteristic
263C2×C4×C47C22×D411yescharacteristic
264C2×C4×C47C2×#4112yes—
265C2×C4×C47C2×#4112yes—
266C22⋊D47—28no—
267C22⋊D47—28no—
268C2×Dic47—21no—
269C2×Dic47—21no—
270C2×Dic47—21no—
271C2×Dic47—21no—
272C2×Dic47—21no—
273C2×Dic47—21no—
274C2×Dic47—21no—
275C2×Dic47—21no—
276C2×Dic47—21no—
277C2×Dic47—21no—
278C2×Dic47—21no—
279C2×Dic47—21no—
280C2×Dic47—21no—
281C2×Dic47—21no—
282C2×Dic47C2×C22⋊C412yes—
283C2×Dic47C2×C22⋊C412yes—
284C2×Dic47C2×C22⋊C412yes—
285C2×Dic47C2×M1612yes—
286D188—28no—
287C4×D47—24no—
288C4×D47—24no—
289C4×D47—28no—
290C4×D47—28no—
291C4×D47—28no—
292C4×D47—42no—
293C4×D47—42no—
294C4×D47—44no—
295Dic94—28no—
296C8×C47—24no—
297C8×C47—42no—
298C47⋊C8—24no—
299C47⋊C8—42no—
300#21374—471nomaximal, Sylow
301C22×C47—22no—
302C22×C47—22no—
303C22×C47—22no—
304C22×C47—41no—
305C22×C47—41no—
306C22×C47—41no—
307C22×C47—41no—
308C22×C47C22×C22⋊C411yescharacteristic
309C22×C47C4×#4111yescharacteristic
310C22×C47C4×#4111yescharacteristic
311C22×C47C22×M1611yescharacteristic
312C22×C47C22×M1611yescharacteristic
313C22×C47C2×#13111yescharacteristic
314C22×C47C2×#13111yescharacteristic
315C2×D47—22no—
316C2×D47—22no—
317C2×D47—22no—
318C2×D47—22no—
319C2×D47—22no—
320C2×D47—22no—
321C2×D47—41no—
322C2×D47—41no—
323C2×D47—41no—
324C2×D47—41no—
325C2×D47—41no—
326C2×D47—41no—
327C2×D47—41no—
328C2×D47—41no—
329C4×C47—22no—
330C4×C47—41no—
331C4×C47—41no—
332C4×C47#40714yes—
333C4×C47#40814yes—
334C4×C47#52512yes—
335C4×C47#53212yes—
336Dic47—22no—
337Dic47—22no—
338Dic47—22no—
339Dic47—22no—
340Dic47—41no—
341Dic47—41no—
342C2×C4×#41—471no—
343C2×#431—471no—
344C2×C4×M16—471no—
345#1985—472no—
346#1955—472no—
347#1870—472no—
348#1870—472no—
349C4×C22⋊C8—471no—
350C4×C22⋊C8—471no—
351C4×C22⋊C8—471no—
352C4×C22⋊C8D4711yescharacteristic, complemented
353C2×C47—42no—
354C2×C47#229711yescharacteristic
355C2×C47C2×#40711yescharacteristic
356C2×C47C2×#40811yescharacteristic
357C2×C47#296511yescharacteristic
358C2×C47#296511yescharacteristic
359C2×C47#296511yescharacteristic
360C2×C47#296511yescharacteristic
361D47—42no—
362D47—42no—
363C22×#41—471no—
364C22×M16—472no—
365C4×#41—944no—
366C4×#41—944no—
367C2×C4×Q8—471no—
368C2×C4×Q8—471no—
369C2×C4×D4—471no—
370C2×C4×D4—471no—
371C2×C4×D4—471no—
372C2×C4×D4—471no—
373C2×C4×D4—471no—
374C2×C4×D4—471no—
375C2×#117—471no—
376C2×#117—471no—
377C2×#117—471no—
378C22×C42—471no—
379C22×C42—471no—
380C22×C42C2×D4711yescharacteristic
381#431—944no—
382C2×C4⋊C8—472no—
383C2×C22⋊C8—472no—
384C2×C22⋊C8—472no—
385C2×C22⋊C8—472no—
386C2×C22⋊C8—472no—
387C2×C22⋊C8C2×D4712yes—
388C4×M16—944no—
389C2×#97—472no—
390C2×C4×C8—471no—
391C2×C4×C8—471no—
392C2×C4×C8C2×D4711yescharacteristic
393C2×C4×C8C2×D4711yescharacteristic
394#336—472no—
395#336—472no—
396#336—472no—
397#336C2×D4712yes—
398C47#2137411yescharacteristic, complemented, Sylow
399C2×#41—944no—
400C2×#41—944no—
401C2×#41—944no—
402C22×Q8—471no—
403C22×D4—471no—
404C22×D4—471no—
405C22×D4—471no—
406C23×C4—471no—
407C23×C4—471no—
408C23×C4—471no—
409C23×C4—471no—
410C23×C4—471no—
411C23×C4—471no—
412C23×C4C4×D4711yescharacteristic
413C23×C4C4×D4711yescharacteristic
414C23×C4C22×D4711yescharacteristic
415C2×M16—944no—
416C2×M16—944no—
417C2×M16—944no—
418C22×C8—472no—
419C22×C8—472no—
420C22×C8C22×D4712yes—
421C22×C8C22×D4712yes—
422C4×Q8—944no—
423C4×Q8—942no—
424C4×Q8—942no—
425C4×D4—944no—
426C4×D4—942no—
427C4×D4—942no—
428C4×D4—944no—
429C4×D4—942no—
430C4×D4—942no—
431C4×D4—944no—
432C4×D4—942no—
433C4×D4—942no—
434#117—944no—
435#117—944no—
436#117—944no—
437C2×C4⋊C4—471no—
438C2×C4⋊C4—471no—
439C2×C4⋊C4—471no—
440C2×C4⋊C4—471no—
441C2×C4⋊C4—471no—
442C2×C4⋊C4—471no—
443C2×C22⋊C4—471no—
444C2×C22⋊C4—471no—
445C2×C22⋊C4—471no—
446C2×C22⋊C4—471no—
447C2×C22⋊C4—471no—
448C2×C22⋊C4—471no—
449C2×C42—22no—
450C2×C42—22no—
451C2×C42—471no—
452C2×C42—471no—
453C2×C42—471no—
454C2×C42—474no—
455C2×C42—474no—
456C2×C42—471no—
457C2×C42—471no—
458C2×C42—471no—
459C2×C42—942no—
460C2×C42—942no—
461C2×C42C4×D4711yescharacteristic
462C2×C42C4×D4711yescharacteristic
463C2×C42C22×D4711yescharacteristic
464C2×C42C22×D4711yescharacteristic
465C4⋊C8—944no—
466C22⋊C8—24no—
467C22⋊C8—944no—
468C22⋊C8—944no—
469C22⋊C8—944no—
470C22⋊C8—944no—
471#97—944no—
472C4×C8—22no—
473C4×C8—22no—
474C4×C8—942no—
475C4×C8—942no—
476C24—471no—
477C24—471no—
478C24C2×C4×D4711yescharacteristic
479#41—9432no—
480C2×Q8—942no—
481C2×Q8—942no—
482C2×Q8—942no—
483C2×D4—942no—
484C2×D4—942no—
485C2×D4—942no—
486C2×D4—942no—
487C2×D4—942no—
488C2×D4—942no—
489C2×D4—942no—
490C2×D4—942no—
491C2×D4—942no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—471no—
502C22×C4—471no—
503C22×C4—471no—
504C22×C4—471no—
505C22×C4—474no—
506C22×C4—474no—
507C22×C4—474no—
508C22×C4—472no—
509C22×C4—472no—
510C22×C4—471no—
511C22×C4—471no—
512C22×C4—942no—
513C22×C4—942no—
514C22×C4—942no—
515C22×C4—942no—
516C22×C4—942no—
517C22×C4—942no—
518C22×C4—942no—
519C22×C4—942no—
520C22×C4—942no—
521C22×C4—942no—
522C22×C4—942no—
523C22×C4—941no—
524C22×C4—941no—
525C22×C4—942no—
526C22×C4—942no—
527C22×C4#1062532414yescomplemented
528C22×C4C2×C4×D4711yescharacteristic
529C22×C4C2×C4×D4711yescharacteristic
530C22×C4C2×C4×D4711yescharacteristic
531C22×C4C2×C4×D4711yescharacteristic
532C22×C4C2×C4×D4711yescharacteristic
533C22×C4C23×D4711yescharacteristic
534M16—9416no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—474no—
541C2×C8—942no—
542C2×C8—942no—
543C2×C8—942no—
544C2×C8—942no—
545C2×C8—942no—
546C2×C8#1062535014yescomplemented
547C4⋊C4—942no—
548C4⋊C4—942no—
549C4⋊C4—942no—
550C4⋊C4—942no—
551C4⋊C4—942no—
552C4⋊C4—942no—
553C22⋊C4—942no—
554C22⋊C4—942no—
555C22⋊C4—942no—
556C22⋊C4—942no—
557C22⋊C4—942no—
558C22⋊C4—942no—
559C42—22no—
560C42—22no—
561C42—21no—
562C42—21no—
563C42—474no—
564C42—474no—
565C42—472no—
566C42—472no—
567C42—942no—
568C42—942no—
569C42—941no—
570C42—941no—
571C42D4×D4712yes—
572C42D4×D4712yes—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—472no—
580C23—472no—
581C23—941no—
582C23—941no—
583C23—941no—
584C23—941no—
585C23—941no—
586C23—941no—
587C23—941no—
588C23—941no—
589C23—941no—
590C23—941no—
591C23—941no—
592C23—941no—
593C23C2×#1062532412yes—
594C23C22×C4×D4711yescharacteristic
595Q8—948no—
596D4—948no—
597D4—948no—
598D4—948no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—28no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—44no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—472no—
612C2×C4—472no—
613C2×C4—472no—
614C2×C4—472no—
615C2×C4—941no—
616C2×C4—941no—
617C2×C4—941no—
618C2×C4—941no—
619C2×C4—941no—
620C2×C4—941no—
621C2×C4—941no—
622C2×C4—941no—
623C2×C4—948no—
624C2×C4—948no—
625C2×C4—948no—
626C2×C4—944no—
627C2×C4—944no—
628C2×C4—941no—
629C2×C4—941no—
630C2×C4—941no—
631C2×C4—941no—
632C2×C4—941no—
633C2×C4—941no—
634C2×C4—1884no—
635C2×C4—1882no—
636C2×C4—1882no—
637C2×C4C22⋊C4×D4712yes—
638C2×C4C22⋊C4×D4712yes—
639C2×C4M16×D4712yes—
640C2×C4C2×#1062532412yes—
641C2×C4C2×#1062532412yes—
642C2×C4#1309403012yes—
643C2×C4#1309403212yes—
644C2×C4C2×D4×D4711yescharacteristic
645C2×C4C2×D4×D4711yescharacteristic
646C2×C4#41×D4712yes—
647C2×C4C2×#1062535012yes—
648C8—24no—
649C8—42no—
650C8—944no—
651C8—1882no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—41no—
656C22—41no—
657C22—41no—
658C22—41no—
659C22—942no—
660C22—942no—
661C22—942no—
662C22—942no—
663C22—942no—
664C22—942no—
665C22—1881no—
666C22—1881no—
667C22—1881no—
668C22—1881no—
669C22—1881no—
670C22—1881no—
671C22—1881no—
672C22—1881no—
673C22C2×C22⋊C4×D4711yescharacteristic
674C22#1568959111yescharacteristic
675C22C4×#1062535011yescharacteristic
676C22C2×M16×D4711yescharacteristic
677C22C22×#1062532411yescharacteristic
678C22C2×#1309403011yescharacteristic
679C22C2×#1309403211yescharacteristic
680C4—22no—
681C4—41no—
682C4—41no—
683C4—942no—
684C4—942no—
685C4—942no—
686C4—942no—
687C4—1881no—
688C4—1881no—
689C4#1568908514yes—
690C4#1568908814yes—
691C4#1568963212yes—
692C4#1568967012yes—
693C2—42no—
694C2—1882no—
695C2—1882no—
696C2#2024587411yescharacteristic
697C2C2×#1568908511yescharacteristic
698C2C2×#1568908811yescharacteristic
699C2#2025234911yescharacteristic
700C2#2025235011yescharacteristic
701C2#2025235211yescharacteristic
702C2#2025235411yescharacteristic
subgroupG/H
centerC2×C42C22×D47
commutator, socleC23×C47C23×C4
FrattiniC22×C4C23×D47
FittingC4×C22⋊C8×C47C2
prime radicalC22×#10625350C4
cosocleC22×C4×C47C24
hypercenterC4×C22⋊C8D47
hypocenterC47#21374
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C2×C42 ◁ C4×C22⋊C8

Complements

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

NH ≅ G/Ntype
2. C2×#15689174C2semidirect
3. C2×C4×#10625324C2semidirect
4. #20244326C2semidirect
5. #20244184C2semidirect
6. #20243684C2semidirect
7. #20243682C2semidirect
8. C4×(C2×D47)⋊C8C2semidirect
9. C4×(C2×D47)⋊C8C2semidirect
10. C4×C22⋊(C47⋊C8)C2semidirect
11. C4×C22⋊C8×C47C2semidirect
136. C22×C4×C47M16semidirect
176. C2×C4×D47M16semidirect
187. C2×C8×C47#41semidirect
219. C2×C47⋊C8#41semidirect
352. C4×C22⋊C8D47semidirect
398. C47#21374semidirect
527. C22×C4#10625324semidirect
546. C2×C8#10625350semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#106253502
C2×#156891742
C2×C4×#106253242
#202443262
#202441842
#202436842
#202436822
C4×(C2×D47)⋊C82
C4×C22⋊(C47⋊C8)2
C4×C22⋊C8×C472
#2137447