Finite Group Databasebeta

← D47×#3501 #27124173

Subgroups — D47×#3501 #27124173

Order 12032.

7738 conjugacy classes of subgroups.

The subgroup lattice has 1158 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257191C211yesmaximal, characteristic, complemented
2#20257190C212yesmaximal, complemented
3#20257189C212yesmaximal, complemented
4#20257188C214yesmaximal, complemented
5#20257187C218yesmaximal, complemented
6#20257186C212yesmaximal, complemented
7#20257185C214yesmaximal, complemented
8#20257184C214yesmaximal, complemented
9#20257183C214yesmaximal, complemented
10#554×D47C218yesmaximal, complemented
11#554×D47C214yesmaximal, complemented
12D4×Q8×D47C214yesmaximal, complemented
13#544×D47C212yesmaximal, complemented
14#543×D47C214yesmaximal, complemented
15#533×D47C212yesmaximal, complemented
16C2×C22⋊Q8×D47C214yesmaximal, complemented
17#518×D47C212yesmaximal
18C2×C4×D4×D47C211yesmaximal, characteristic
19C47×#3501C211yesmaximal, characteristic, complemented
20C22×Q8×D47C2214yescomplemented
21C22×D4×D47C2211yescharacteristic
22C23×C4×D47C2212yes—
23#15689834C2218yescomplemented
24#15689834C2214yescomplemented
25#15689833C2214yescomplemented
26#15689833C2218yescomplemented
27#15689832C2218yescomplemented
28#15689832C2218yescomplemented
29#15689832C2218yescomplemented
30#15689831C2218yescomplemented
31#15689831C22116yescomplemented
32#15689830C2214yescomplemented
33#15689830C2218yescomplemented
34#15689829C2218yescomplemented
35#15689829C2218yescomplemented
36#15689829C2218yescomplemented
37#15689828C2218yescomplemented
38#15689828C22116yescomplemented
39#15689827C22116yescomplemented
40#15689827C22116yescomplemented
41#15689827C22116yescomplemented
42Q8×D188C2214yescomplemented
43D4×Dic94C2214yescomplemented
44D4×Dic94C2218yescomplemented
45#15689788C2214yescomplemented
46#15689788C2218yescomplemented
47Q8×C22⋊D47C2218yescomplemented
48#15689786C2218yescomplemented
49#15689786C22116yescomplemented
50#15689754C2212yescomplemented
51#15689753C2218yescomplemented
52#15689752C2218yescomplemented
53#15689751C2214yescomplemented
54#15689750C2218yescomplemented
55#15689749C2218yescomplemented
56#15689749C2214yescomplemented
57#15689748C2218yescomplemented
58#15689748C2218yescomplemented
59#15689748C22116yescomplemented
60#15689748C22116yescomplemented
61#15689680C2212yescomplemented
62#15689679C2214yescomplemented
63#15689678C2212yescomplemented
64#15689678C2212yescomplemented
65#15689677C2214yescomplemented
66#15689677C2214yescomplemented
67#15689676C2214yescomplemented
68#15689675C2214yescomplemented
69#15689675C2214yescomplemented
70C4⋊Q8×D47C2218yescomplemented
71C4⋊Q8×D47C2212yescomplemented
72C4⋊Q8×D47C2212yescomplemented
73#125×D47C2218yescomplemented
74#125×D47C2214yescomplemented
75C2×#13094004C2214yescomplemented
76C2×#13094003C2214yescomplemented
77C2×#13094002C2218yescomplemented
78C2×#13094001C2218yescomplemented
79C2×#13094000C2214yescomplemented
80C22⋊Q8×D47C2214yes—
81C22⋊Q8×D47C2218yes—
82C22⋊Q8×D47C2214yes—
83C22⋊Q8×D47C2218yescomplemented
84C22⋊Q8×D47C2218yescomplemented
85C22⋊Q8×D47C22116yescomplemented
86C22⋊Q8×D47C22116yescomplemented
87C22⋊Q8×D47C2218yescomplemented
88C22⋊Q8×D47C2218yescomplemented
89C22⋊Q8×D47C2218yescomplemented
90C22⋊Q8×D47C2218yescomplemented
91#15689598C2212yes—
92#15689597C2214yes—
93#15689596C2218yes—
94#15689595C2218yes—
95#15689595C2218yes—
96C4×Q8×D47C2214yescomplemented
97C4×Q8×D47C2214yescomplemented
98C2×C4×D188C2211yescharacteristic
99C2×D4×Dic47C2211yescharacteristic
100C2×#13093986C2211yescharacteristic
101C2×C4×C22⋊D47C2212yes—
102C2×(C22⋊D47)⋊C4C2212yes—
103C4×D4×D47C2214yes—
104C4×D4×D47C2214yes—
105C4×D4×D47C2214yes—
106C4×D4×D47C2214yes—
107C4×D4×D47C2218yes—
108C4×D4×D47C2218yes—
109#117×D47C2214yes—
110C2×C4⋊C4×D47C2211yescharacteristic
111C2×C4⋊C4×D47C2218yescomplemented
112C2×C4⋊C4×D47C2214yescomplemented
113C2×C22⋊C4×D47C2212yes—
114C2×C22⋊C4×D47C2218yes—
115C2×C42×D47C2211yescharacteristic
116C47×#554C2214yescomplemented
117C47×#554C2218yescomplemented
118D4×Q8×C47C2214yescomplemented
119C47×#544C2212yescomplemented
120C47×#543C2214yescomplemented
121C47×#533C2212yescomplemented
122C2×C22⋊Q8×C47C2214yescomplemented
123C47×#518C2212yes—
124C2×C4×D4×C47C2211yescharacteristic
125C24×D47C2312yes—
126C22×Dic94C2318yescomplemented
127C22×Dic94C2314yescomplemented
128C2×Q8×D47—416no—
129C2×Q8×D47C2314yes—
130C2×Q8×D47C2314yes—
131C2×Q8×D47C2318yes—
132C2×Q8×D47C2318yescomplemented
133C2×Q8×D47C2318yescomplemented
134C22×D188C2311yescharacteristic
135C22×C22⋊D47C2312yes—
136C2×D4×D47Q8116yescomplemented
137C2×D4×D47C2314yes—
138C2×D4×D47C2314yes—
139C23×Dic47C2312yes—
140C22×C4×D47—48no—
141C22×C4×D47C2311yescharacteristic
142C22×C4×D47C2314yes—
143C22×C4×D47C2311yescharacteristic
144C22×C4×D47C2312yes—
145C22×C4×D47C2318yes—
146C22×C4×D47C2318yes—
147C22×C4×D47C2314yes—
148C22×C4×D47C2314yes—
149C22×C4×D47C2314yes—
150C22×C4×D47C2312yes—
151C22×C4×D47C2312yes—
152C22×C4×D47C2311yescharacteristic
153#13094024C2318yescomplemented
154#13094024C2312yescomplemented
155#13094024C2312yescomplemented
156#13094023C2318yescomplemented
157#13094023C23116yescomplemented
158#13094023C2318yescomplemented
159#13094023C2314yescomplemented
160#13094023C2314yescomplemented
161#13094023C2314yescomplemented
162#13094023C2314yescomplemented
163#13094022C23116yescomplemented
164#13094022C2314yescomplemented
165#13094022C2314yescomplemented
166#13094016C2318yescomplemented
167#13094016C2314yescomplemented
168#13094015C2318yescomplemented
169#13094015C2318yescomplemented
170#13094015C2314yescomplemented
171#13094015C2314yescomplemented
172#13094014C23116yescomplemented
173#13094014C23116yescomplemented
174#13094014C2318yescomplemented
175#13094014C2318yescomplemented
176#13094004C2314yes—
177#13094004C2318yes—
178#13094004C2314yes—
179#13094004C23116yescomplemented
180#13094004C23116yescomplemented
181#13094004C2318yescomplemented
182#13094004C2318yescomplemented
183#13094003C2314yes—
184#13094003C2318yes—
185#13094003C2314yes—
186#13094003C23116yescomplemented
187#13094003C23116yescomplemented
188#13094003C2318yescomplemented
189#13094003C2318yescomplemented
190#13094002C2318yes—
191#13094002C23116yes—
192#13094002C2318yes—
193#13094002C23116yescomplemented
194#13094002C23116yescomplemented
195#13094002C23116yescomplemented
196#13094002C23116yescomplemented
197#13094002C23116yescomplemented
198#13094002C23116yescomplemented
199#13094001C2318yes—
200#13094001C23116yes—
201#13094001C2318yes—
202#13094001C23116yescomplemented
203#13094001C23116yescomplemented
204#13094001C23116yescomplemented
205#13094001C23116yescomplemented
206#13094001C23116yescomplemented
207#13094001C23116yescomplemented
208#13094000C2314yes—
209#13094000C2318yes—
210#13094000C2314yes—
211#13094000C23116yescomplemented
212#13094000C23116yescomplemented
213#13094000C2318yescomplemented
214#13094000C2318yescomplemented
215Q8×Dic47C2314yescomplemented
216Q8×Dic47C2314yescomplemented
217C4×Dic94C2318yescomplemented
218C4×Dic94C2314yescomplemented
219C4×Dic94C2314yescomplemented
220C4×Dic94C2318yescomplemented
221#13093989C2318yescomplemented
222#13093989C2314yescomplemented
223#13093989C2314yescomplemented
224#13093989C2318yescomplemented
225C4×D188C2318yes—
226C4×D188C2314yes—
227C4×D188C2314yes—
228C4×D188C2318yes—
229D4×Dic47C2318yes—
230D4×Dic47C2314yes—
231D4×Dic47C2314yes—
232D4×Dic47C2318yes—
233#13093986C2314yes—
234#13093986C2318yes—
235#13093986C2318yes—
236#13093986C2314yes—
237C4×C22⋊D47C23116yes—
238C4×C22⋊D47C2318yes—
239C4×C22⋊D47C2318yes—
240C4×C22⋊D47C23116yes—
241(C22⋊D47)⋊C4C2318yes—
242(C22⋊D47)⋊C4C23116yes—
243(C22⋊D47)⋊C4C23116yes—
244(C22⋊D47)⋊C4C2318yes—
245#13093983C2314yes—
246#13093982C2314yes—
247#13093982C2314yes—
248#13093981C2318yes—
249#13093980C2318yes—
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2314yescomplemented
252C2×C4⋊Dic47C2318yescomplemented
253C2×Dic47⋊C4C2312yes—
254C2×Dic47⋊C4C2318yescomplemented
255C2×Dic47⋊C4C2318yescomplemented
256C2×Dic47⋊C4C2318yescomplemented
257C4⋊C4×D47C2314yes—
258C4⋊C4×D47C2314yes—
259C4⋊C4×D47C2318yes—
260C4⋊C4×D47C2314yes—
261C4⋊C4×D47C2318yes—
262C4⋊C4×D47C23116yes—
263C4⋊C4×D47C2314yes—
264C4⋊C4×D47C2314yes—
265C4⋊C4×D47C2318yes—
266C4⋊C4×D47C2314yes—
267C4⋊C4×D47C2318yescomplemented
268C4⋊C4×D47C23116yescomplemented
269C4⋊C4×D47C23116yescomplemented
270C4⋊C4×D47C2318yescomplemented
271C2×C22⋊Dic47C2312yes—
272C2×C22⋊Dic47C2318yes—
273C2×(C2×D47)⋊C4C2312yes—
274C2×(C2×D47)⋊C4C2312yes—
275C2×(C2×D47)⋊C4C2318yes—
276C2×(C2×D47)⋊C4C2318yes—
277C22⋊C4×D47C2318yes—
278C22⋊C4×D47C23116yes—
279C22⋊C4×D47C23116yes—
280C22⋊C4×D47C2318yes—
281C22⋊C4×D47C2318yes—
282C22⋊C4×D47C23116yes—
283C2×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C42×D47C2312yes—
287C42×D47C2312yes—
288C42×D47C2312yes—
289C42×D47C2312yes—
290C42×D47C2318yes—
291C22×Q8×C47C2314yescomplemented
292C22×D4×C47C2311yescharacteristic
293C23×C4×C47C2312yes—
294C4⋊Q8×C47C2318yescomplemented
295C4⋊Q8×C47C2312yescomplemented
296C4⋊Q8×C47C2312yescomplemented
297#125×C47C2318yescomplemented
298#125×C47C2314yescomplemented
299C22⋊Q8×C47C2314yes—
300C22⋊Q8×C47C2318yes—
301C22⋊Q8×C47C2314yes—
302C22⋊Q8×C47C23116yescomplemented
303C22⋊Q8×C47C23116yescomplemented
304C22⋊Q8×C47C2318yescomplemented
305C22⋊Q8×C47C2318yescomplemented
306C4×Q8×C47C2314yescomplemented
307C4×Q8×C47C2314yescomplemented
308C4×D4×C47C2314yes—
309C4×D4×C47C2318yes—
310C4×D4×C47C2314yes—
311C4×D4×C47C2318yes—
312#117×C47C2314yes—
313C2×C4⋊C4×C47C2311yescharacteristic
314C2×C4⋊C4×C47C2318yescomplemented
315C2×C4⋊C4×C47C2314yescomplemented
316C2×C22⋊C4×C47C2312yes—
317C2×C22⋊C4×C47C2318yes—
318C2×C42×C47C2311yescharacteristic
319C24×C47C2412yes—
320C23×D47—44no—
321C23×D47—44no—
322C23×D47C2×Q8116yescomplemented
323C23×D47C2411yescharacteristic
324C23×D47C2414yes—
325C23×D47C2412yes—
326C23×D47C2414yes—
327C2×Q8×C47—48no—
328C2×Q8×C47C2414yes—
329C2×Q8×C47C2414yes—
330C2×Q8×C47C2418yes—
331C2×D4×C47C2×Q818yescomplemented
332C2×D4×C47C2414yes—
333C22×C4×C47—44no—
334C22×C4×C47C2411yescharacteristic
335C22×C4×C47C2414yes—
336C22×C4×C47C2411yescharacteristic
337C22×C4×C47C2412yes—
338C22×C4×C47C2418yes—
339C22×C4×C47C2418yes—
340C22×C4×C47C2414yes—
341C22×C4×C47C2411yescharacteristic
342C2×C22⋊D47C2×Q8116yescomplemented
343C2×C22⋊D47C2418yes—
344C22×Dic47—44no—
345C22×Dic47C2411yescharacteristic
346C22×Dic47C2414yes—
347C22×Dic47C2411yescharacteristic
348C22×Dic47C2412yes—
349C22×Dic47C2418yes—
350C22×Dic47C2418yes—
351C22×Dic47C2414yes—
352C22×Dic47C2411yescharacteristic
353Q8×D47—216no—
354Q8×D47—416no—
355Q8×D47—416no—
356Q8×D47—416no—
357Q8×D47—48no—
358D4×D47C2×Q8132yescomplemented
359D4×D47C2×Q8132yescomplemented
360C2×D188C2×Q818yescomplemented
361C2×D188C2414yes—
362C2×C4×D47—24no—
363C2×C4×D47—216no—
364C2×C4×D47—48no—
365C2×C4×D47—44no—
366C2×C4×D47—48no—
367C2×C4×D47—44no—
368C2×C4×D47—48no—
369C2×C4×D47—44no—
370C2×C4×D47—416no—
371C2×C4×D47—42no—
372C2×C4×D47—416no—
373C2×C4×D47C2×Q818yescomplemented
374C2×C4×D47C2412yes—
375C2×C4×D47C2411yescharacteristic
376C2×C4×D47C2411yescharacteristic
377C2×C4×D47C2411yescharacteristic
378C2×C4×D47C2418yes—
379C2×C4×D47C2418yes—
380C2×C4×D47C2414yes—
381C2×C4×D47C2414yes—
382C2×C4×D47C2414yes—
383C2×C4×D47C2412yes—
384C2×C4×D47C2414yes—
385C2×C4×D47C24116yes—
386C2×C4×D47C24116yes—
387C2×C4×D47C2414yes—
388C2×C4×D47C2414yes—
389C2×C4×D47C2412yes—
390C2×C4×D47C2412yes—
391C2×C4×D47C2411yescharacteristic
392C2×Dic94—416no—
393C2×Dic94—48no—
394C2×Dic94C2418yes—
395C2×Dic94C2414yes—
396C2×Dic94C2418yes—
397C2×Dic94C2414yes—
398C2×Dic94C24116yes—
399C2×Dic94C2418yes—
400C4⋊C4×C47C2414yes—
401C4⋊C4×C47C2418yes—
402C4⋊C4×C47C2414yes—
403C4⋊C4×C47C2418yes—
404C4⋊C4×C47C24116yes—
405C4⋊C4×C47C2414yes—
406C4⋊C4×C47C2414yes—
407C4⋊C4×C47C2418yes—
408C4⋊C4×C47C2414yes—
409C22⋊C4×C47C2418yes—
410C22⋊C4×C47C2418yes—
411C22⋊C4×C47C24116yes—
412C42×C47C2412yes—
413C42×C47C2412yes—
414C42×C47C2418yes—
415C22⋊Dic47C2418yes—
416C22⋊Dic47C2418yes—
417C22⋊Dic47C24116yes—
418(C2×D47)⋊C4C2418yes—
419(C2×D47)⋊C4C2418yes—
420(C2×D47)⋊C4C2418yes—
421(C2×D47)⋊C4C24116yes—
422(C2×D47)⋊C4C24116yes—
423(C2×D47)⋊C4C2418yes—
424C4⋊Dic47C2414yes—
425C4⋊Dic47C2414yes—
426C4⋊Dic47C2418yes—
427C4⋊Dic47C2418yes—
428C4⋊Dic47C24116yes—
429C4⋊Dic47C2414yes—
430C4⋊Dic47C2414yes—
431C4⋊Dic47C2414yes—
432C4⋊Dic47C2418yes—
433Dic47⋊C4C2418yes—
434Dic47⋊C4C2418yes—
435Dic47⋊C4C2418yes—
436Dic47⋊C4C2418yes—
437Dic47⋊C4C24116yes—
438Dic47⋊C4C24116yes—
439Dic47⋊C4C24116yes—
440Dic47⋊C4C2418yes—
441Dic47⋊C4C2418yes—
442Dic47⋊C4C2418yes—
443Dic47⋊C4C2418yes—
444Dic47⋊C4C2418yes—
445C4×Dic47C2412yes—
446C4×Dic47C2412yes—
447C4×Dic47C2412yes—
448C4×Dic47C2412yes—
449C4×Dic47C2412yes—
450C4×Dic47C2412yes—
451C4×Dic47C2418yes—
452C4×Dic47C2418yes—
453C4×Dic47C2418yes—
454C23×C47—42no—
455C23×C47—42no—
456C23×C47C22×Q818yescomplemented
457C23×C47C2511yescharacteristic
458C23×C47C2514yes—
459C22×D47—28no—
460C22×D47—22no—
461C22×D47—28no—
462C22×D47—22no—
463C22×D47—432no—
464C22×D47—42no—
465C22×D47—44no—
466C22×D47—42no—
467C22×D47—44no—
468C22×D47C22×Q814yes—
469C22×D47C22×Q8116yes—
470C22×D47C22×Q818yescomplemented
471C22×D47C22×Q8116yescomplemented
472C22×D47C2511yescharacteristic
473C22×D47C2514yes—
474C22×D47C2511yescharacteristic
475Q8×C47—28no—
476Q8×C47—48no—
477Q8×C47—44no—
478D4×C47C22×Q8116yescomplemented
479C2×C4×C47—28no—
480C2×C4×C47—22no—
481C2×C4×C47—48no—
482C2×C4×C47—42no—
483C2×C4×C47—44no—
484C2×C4×C47—41no—
485C2×C4×C47—48no—
486C2×C4×C47C22×Q814yescomplemented
487C2×C4×C47C2511yescharacteristic
488C2×C4×C47C2512yes—
489C2×C4×C47C2518yes—
490C2×C4×C47C2518yes—
491C2×C4×C47C2514yes—
492C2×C4×C47C2512yes—
493C2×C4×C47C2511yescharacteristic
494C22⋊D47C22×Q8132yescomplemented
495C2×Dic47—28no—
496C2×Dic47—22no—
497C2×Dic47—48no—
498C2×Dic47—42no—
499C2×Dic47—44no—
500C2×Dic47—41no—
501C2×Dic47—48no—
502C2×Dic47C22×Q814yescomplemented
503C2×Dic47C2511yescharacteristic
504C2×Dic47C2512yes—
505C2×Dic47C2518yes—
506C2×Dic47C2518yes—
507C2×Dic47C2514yes—
508C2×Dic47C2512yes—
509C2×Dic47C2511yescharacteristic
510D188C22×Q8116yescomplemented
511C4×D47—22no—
512C4×D47—28no—
513C4×D47—216no—
514C4×D47—216no—
515C4×D47—24no—
516C4×D47—22no—
517C4×D47—28no—
518C4×D47—22no—
519C4×D47—28no—
520C4×D47—44no—
521C4×D47—44no—
522C4×D47—44no—
523C4×D47—42no—
524C4×D47—416no—
525C4×D47—416no—
526C4×D47C22×Q818yes—
527C4×D47C22×Q818yescomplemented
528C4×D47H(5,𝔽2)14yes—
529Dic94—28no—
530Dic94—216no—
531Dic94—48no—
532Dic94—416no—
533Dic94—48no—
534Dic94—44no—
535C2×#3501—471nomaximal, Sylow
536C22×C47—24no—
537C22×C47—21no—
538C22×C47—24no—
539C22×C47—21no—
540C22×C47—48no—
541C22×C47C23×Q812yes—
542C22×C47C23×Q818yes—
543C22×C47C2611yescharacteristic
544C2×D47—24no—
545C2×D47—21no—
546C2×D47—24no—
547C2×D47—21no—
548C2×D47—28no—
549C2×D47—232no—
550C2×D47—416no—
551C2×D47—48no—
552C2×D47C23×Q812yes—
553C2×D47C23×Q818yes—
554C2×D47C23×Q812yes—
555C2×D47C2×H(5,𝔽2)12yes—
556C2×D47#58512yes—
557C4×C47—28no—
558C4×C47—24no—
559C4×C47—21no—
560C4×C47—22no—
561C4×C47—28no—
562C4×C47C23×Q814yes—
563C4×C47C2×H(5,𝔽2)12yes—
564Dic47—28no—
565Dic47—24no—
566Dic47—21no—
567Dic47—22no—
568Dic47—28no—
569Dic47C23×Q814yes—
570Dic47C2×H(5,𝔽2)12yes—
571#3501—474no—
572#3501—478no—
573#3501—474no—
574#3501—472no—
575#3501—474no—
576#3501—472no—
577#3501—474no—
578#3501—472no—
579#3501—471no—
580#3501D4711yescharacteristic, direct product factor
581C2×#554—474no—
582C2×#554—478no—
583C2×D4×Q8—474no—
584C2×#544—472no—
585C2×#543—474no—
586C2×#533—472no—
587C22×C22⋊Q8—474no—
588C2×#518—472no—
589C22×C4×D4—471no—
590C2×C47—22no—
591C2×C47—28no—
592C2×C47C24×Q811yescharacteristic
593C2×C47C22×H(5,𝔽2)11yescharacteristic
594C2×C47C2×#58511yescharacteristic
595D47—22no—
596D47—28no—
597D47#350114yesdirect product factor
598C23×Q8—474no—
599C23×D4—471no—
600C24×C4—472no—
601#554—478no—
602#554—474no—
603#554—478no—
604#554—478no—
605#554—478no—
606#554—4716no—
607#554—4716no—
608#554—4716no—
609#554—478no—
610#554—4716no—
611#554—474no—
612#554—478no—
613#554—478no—
614#554—474no—
615#554—478no—
616#554—478no—
617#554—478no—
618#554—478no—
619#554—4716no—
620#554C2×D4714yescomplemented
621#554C2×D4718yescomplemented
622D4×Q8—478no—
623D4×Q8—478no—
624D4×Q8—474no—
625D4×Q8—478no—
626D4×Q8—4716no—
627D4×Q8—474no—
628D4×Q8—478no—
629D4×Q8—474no—
630D4×Q8C2×D4714yescomplemented
631#544—478no—
632#544—478no—
633#544—478no—
634#544—474no—
635#544—472no—
636#544C2×D4712yescomplemented
637#543—478no—
638#543—478no—
639#543—4716no—
640#543—4716no—
641#543—478no—
642#543—474no—
643#543C2×D4714yescomplemented
644#533—472no—
645#533—472no—
646#533—474no—
647#533—474no—
648#533—474no—
649#533—474no—
650#533—474no—
651#533—474no—
652#533—472no—
653#533C2×D4712yescomplemented
654C2×C4⋊Q8—472no—
655C2×C4⋊Q8—472no—
656C2×C4⋊Q8—478no—
657C2×#125—474no—
658C2×#125—478no—
659C2×C22⋊Q8—474no—
660C2×C22⋊Q8—474no—
661C2×C22⋊Q8—474no—
662C2×C22⋊Q8—478no—
663C2×C22⋊Q8—478no—
664C2×C22⋊Q8—478no—
665C2×C22⋊Q8—474no—
666C2×C22⋊Q8—478no—
667C2×C22⋊Q8—478no—
668C2×C22⋊Q8—478no—
669C2×C22⋊Q8—478no—
670C2×C22⋊Q8—4716no—
671C2×C22⋊Q8—4716no—
672C2×C22⋊Q8—478no—
673C2×C22⋊Q8—474no—
674C2×C22⋊Q8—478no—
675C2×C22⋊Q8C2×D4714yescomplemented
676#518—472no—
677#518—478no—
678#518—478no—
679#518—474no—
680#518—478no—
681#518C2×D4712yes—
682C2×C4×Q8—474no—
683C2×C4×Q8—474no—
684C2×C4×D4—471no—
685C2×C4×D4—472no—
686C2×C4×D4—474no—
687C2×C4×D4—474no—
688C2×C4×D4—474no—
689C2×C4×D4—474no—
690C2×C4×D4—478no—
691C2×C4×D4—478no—
692C2×C4×D4—471no—
693C2×C4×D4—472no—
694C2×C4×D4—471no—
695C2×C4×D4C2×D4711yescharacteristic
696C2×#117—474no—
697C22×C4⋊C4—471no—
698C22×C4⋊C4—478no—
699C22×C4⋊C4—474no—
700C22×C22⋊C4—472no—
701C22×C22⋊C4—478no—
702C22×C42—471no—
703C47C2×#350111yescharacteristic, complemented, Sylow
704C25—472no—
705C22×Q8—474no—
706C22×Q8—474no—
707C22×Q8—478no—
708C22×Q8—478no—
709C22×Q8—478no—
710C22×Q8—478no—
711C22×Q8—474no—
712C22×Q8—18816no—
713C22×Q8C22×D4714yescomplemented
714C22×D4—472no—
715C22×D4—4716no—
716C22×D4—474no—
717C22×D4—474no—
718C22×D4—471no—
719C22×D4C22×D4711yescharacteristic
720C23×C4—471no—
721C23×C4—472no—
722C23×C4—474no—
723C23×C4—471no—
724C23×C4—471no—
725C23×C4—478no—
726C23×C4—478no—
727C23×C4—472no—
728C23×C4—474no—
729C23×C4—472no—
730C23×C4—474no—
731C23×C4—472no—
732C23×C4—474no—
733C23×C4—1888no—
734C23×C4C22×D4712yes—
735C4⋊Q8—474no—
736C4⋊Q8—474no—
737C4⋊Q8—4716no—
738C4⋊Q8—474no—
739C4⋊Q8—474no—
740C4⋊Q8—474no—
741C4⋊Q8—474no—
742C4⋊Q8—4716no—
743C4⋊Q8—478no—
744C4⋊Q8—478no—
745C4⋊Q8—472no—
746C4⋊Q8—472no—
747C4⋊Q8—478no—
748C4⋊Q8C22×D4712yescomplemented
749C4⋊Q8C22×D4712yescomplemented
750C4⋊Q8C22×D4718yescomplemented
751#125—478no—
752#125—478no—
753#125—474no—
754#125—474no—
755#125—4716no—
756#125—4716no—
757#125—478no—
758#125—478no—
759#125—474no—
760#125—478no—
761#125C22×D4714yescomplemented
762#125C22×D4718yescomplemented
763C22⋊Q8—474no—
764C22⋊Q8—478no—
765C22⋊Q8—478no—
766C22⋊Q8—478no—
767C22⋊Q8—474no—
768C22⋊Q8—4716no—
769C22⋊Q8—4716no—
770C22⋊Q8—474no—
771C22⋊Q8—478no—
772C22⋊Q8—478no—
773C22⋊Q8—478no—
774C22⋊Q8—474no—
775C22⋊Q8—4716no—
776C22⋊Q8—4716no—
777C22⋊Q8—478no—
778C22⋊Q8—474no—
779C22⋊Q8—4716no—
780C22⋊Q8—478no—
781C22⋊Q8—4716no—
782C22⋊Q8—478no—
783C22⋊Q8—4716no—
784C22⋊Q8—478no—
785C22⋊Q8—478no—
786C22⋊Q8—474no—
787C22⋊Q8—4716no—
788C22⋊Q8—4716no—
789C22⋊Q8—4716no—
790C22⋊Q8—4716no—
791C22⋊Q8—4716no—
792C22⋊Q8—4716no—
793C22⋊Q8—478no—
794C22⋊Q8—4716no—
795C22⋊Q8—4716no—
796C22⋊Q8—4716no—
797C22⋊Q8—478no—
798C22⋊Q8—4716no—
799C22⋊Q8—4716no—
800C22⋊Q8—4716no—
801C22⋊Q8—4716no—
802C22⋊Q8C22×D4714yes—
803C22⋊Q8C22×D4718yes—
804C22⋊Q8C22×D4714yes—
805C22⋊Q8C22×D4718yescomplemented
806C22⋊Q8C22×D4718yescomplemented
807C22⋊Q8C22×D47116yescomplemented
808C22⋊Q8C22×D47116yescomplemented
809C4×Q8—474no—
810C4×Q8—474no—
811C4×Q8—478no—
812C4×Q8—474no—
813C4×Q8—474no—
814C4×Q8—478no—
815C4×Q8—478no—
816C4×Q8—474no—
817C4×Q8—478no—
818C4×Q8—474no—
819C4×Q8C22×D4714yescomplemented
820C4×Q8C22×D4714yescomplemented
821C4×D4—474no—
822C4×D4—474no—
823C4×D4—478no—
824C4×D4—478no—
825C4×D4—478no—
826C4×D4—478no—
827C4×D4—4716no—
828C4×D4—4716no—
829C4×D4—474no—
830C4×D4—474no—
831C4×D4—478no—
832C4×D4—478no—
833C4×D4—478no—
834C4×D4—478no—
835C4×D4—4716no—
836C4×D4—4716no—
837C4×D4—474no—
838C4×D4—474no—
839C4×D4—478no—
840C4×D4—478no—
841C4×D4C22×D4714yes—
842C4×D4C22×D4714yes—
843C4×D4C22×D4718yes—
844C4×D4C22×D4718yes—
845#117—474no—
846#117—474no—
847#117—474no—
848#117—478no—
849#117—478no—
850#117C22×D4714yes—
851C2×C4⋊C4—472no—
852C2×C4⋊C4—471no—
853C2×C4⋊C4—478no—
854C2×C4⋊C4—478no—
855C2×C4⋊C4—478no—
856C2×C4⋊C4—478no—
857C2×C4⋊C4—474no—
858C2×C4⋊C4—478no—
859C2×C4⋊C4—474no—
860C2×C4⋊C4—474no—
861C2×C4⋊C4—474no—
862C2×C4⋊C4—478no—
863C2×C4⋊C4—4716no—
864C2×C4⋊C4—4716no—
865C2×C4⋊C4—4716no—
866C2×C4⋊C4—478no—
867C2×C4⋊C4—478no—
868C2×C4⋊C4—474no—
869C2×C4⋊C4—474no—
870C2×C4⋊C4—478no—
871C2×C4⋊C4—474no—
872C2×C4⋊C4C22×D4711yescharacteristic
873C2×C4⋊C4C22×D4718yescomplemented
874C2×C4⋊C4C22×D4714yescomplemented
875C2×C22⋊C4—472no—
876C2×C22⋊C4—478no—
877C2×C22⋊C4—472no—
878C2×C22⋊C4—472no—
879C2×C22⋊C4—478no—
880C2×C22⋊C4—478no—
881C2×C22⋊C4—478no—
882C2×C22⋊C4—478no—
883C2×C22⋊C4—4716no—
884C2×C22⋊C4—478no—
885C2×C22⋊C4—4716no—
886C2×C22⋊C4—4716no—
887C2×C22⋊C4C22×D4712yes—
888C2×C22⋊C4C22×D4718yes—
889C2×C42—471no—
890C2×C42—471no—
891C2×C42—471no—
892C2×C42—478no—
893C2×C42—472no—
894C2×C42—472no—
895C2×C42—472no—
896C2×C42—472no—
897C2×C42C22×D4711yescharacteristic
898C24—471no—
899C24—474no—
900C24—4716no—
901C24—474no—
902C24—472no—
903C24—1884no—
904C24—1884no—
905C24C23×D4712yes—
906C2×Q8—48no—
907C2×Q8—478no—
908C2×Q8—474no—
909C2×Q8—478no—
910C2×Q8—474no—
911C2×Q8—478no—
912C2×Q8—4716no—
913C2×Q8—9416no—
914C2×Q8—1888no—
915C2×Q8—18816no—
916C2×Q8—1888no—
917C2×Q8—18816no—
918C2×Q8—18816no—
919C2×Q8—18816no—
920C2×Q8C23×D4714yes—
921C2×Q8C23×D4714yes—
922C2×Q8C23×D4718yes—
923C2×D4—4716no—
924C2×D4—478no—
925C2×D4—4732no—
926C2×D4—4732no—
927C2×D4—478no—
928C2×D4—474no—
929C2×D4Q8×D4718yescomplemented
930C2×D4C23×D4714yes—
931C22×C4—44no—
932C22×C4—471no—
933C22×C4—478no—
934C22×C4—472no—
935C22×C4—471no—
936C22×C4—472no—
937C22×C4—471no—
938C22×C4—474no—
939C22×C4—471no—
940C22×C4—478no—
941C22×C4—478no—
942C22×C4—472no—
943C22×C4—474no—
944C22×C4—472no—
945C22×C4—471no—
946C22×C4—471no—
947C22×C4—471no—
948C22×C4—478no—
949C22×C4—478no—
950C22×C4—474no—
951C22×C4—474no—
952C22×C4—474no—
953C22×C4—472no—
954C22×C4—4716no—
955C22×C4—4716no—
956C22×C4—474no—
957C22×C4—474no—
958C22×C4—474no—
959C22×C4—944no—
960C22×C4—9416no—
961C22×C4—1884no—
962C22×C4—1888no—
963C22×C4—1888no—
964C22×C4—1884no—
965C22×C4—18816no—
966C22×C4—1882no—
967C22×C4—1888no—
968C22×C4—1884no—
969C22×C4—18816no—
970C22×C4—1884no—
971C22×C4C23×D4711yescharacteristic
972C22×C4C23×D4714yes—
973C22×C4C23×D4711yescharacteristic
974C22×C4C23×D4718yes—
975C22×C4C23×D4712yes—
976C22×C4C23×D4718yes—
977C22×C4C23×D4714yes—
978C22×C4C23×D4711yescharacteristic
979C4⋊C4—478no—
980C4⋊C4—478no—
981C4⋊C4—478no—
982C4⋊C4—478no—
983C4⋊C4—4716no—
984C4⋊C4—4716no—
985C4⋊C4—4716no—
986C4⋊C4—478no—
987C4⋊C4—478no—
988C4⋊C4—478no—
989C4⋊C4—478no—
990C4⋊C4—478no—
991C4⋊C4—478no—
992C4⋊C4—474no—
993C4⋊C4—474no—
994C4⋊C4—478no—
995C4⋊C4—4716no—
996C4⋊C4—474no—
997C4⋊C4—474no—
998C4⋊C4—478no—
999C4⋊C4—474no—
1000C4⋊C4C23×D4718yes—
1001C4⋊C4C23×D4714yes—
1002C4⋊C4C23×D4714yes—
1003C4⋊C4C23×D4718yes—
1004C4⋊C4C23×D47116yes—
1005C4⋊C4C23×D4714yes—
1006C4⋊C4C23×D4714yes—
1007C4⋊C4C23×D4718yes—
1008C4⋊C4C23×D4714yes—
1009C22⋊C4—478no—
1010C22⋊C4—478no—
1011C22⋊C4—4716no—
1012C22⋊C4—478no—
1013C22⋊C4—478no—
1014C22⋊C4—478no—
1015C22⋊C4—4716no—
1016C22⋊C4—4716no—
1017C22⋊C4—478no—
1018C22⋊C4C23×D4718yes—
1019C22⋊C4C23×D4718yes—
1020C22⋊C4C23×D47116yes—
1021C42—472no—
1022C42—472no—
1023C42—472no—
1024C42—472no—
1025C42—472no—
1026C42—472no—
1027C42—478no—
1028C42—478no—
1029C42—478no—
1030C42C23×D4712yes—
1031C42C23×D4712yes—
1032C42C23×D4718yes—
1033C23—42no—
1034C23—42no—
1035C23—471no—
1036C23—474no—
1037C23—4716no—
1038C23—471no—
1039C23—474no—
1040C23—4716no—
1041C23—478no—
1042C23—948no—
1043C23—942no—
1044C23—948no—
1045C23—942no—
1046C23—1884no—
1047C23—1882no—
1048C23—1884no—
1049C23—1882no—
1050C23—18832no—
1051C23C2×Q8×D4718yescomplemented
1052C23C24×D4711yescharacteristic
1053C23C24×D4714yes—
1054Q8—28no—
1055Q8—48no—
1056Q8—44no—
1057Q8—9416no—
1058Q8—948no—
1059Q8—1888no—
1060Q8—1884no—
1061Q8—1888no—
1062Q8—18816no—
1063D4—4732no—
1064D4—4716no—
1065D4C2×Q8×D47116yescomplemented
1066C2×C4—22no—
1067C2×C4—28no—
1068C2×C4—44no—
1069C2×C4—42no—
1070C2×C4—48no—
1071C2×C4—41no—
1072C2×C4—48no—
1073C2×C4—474no—
1074C2×C4—472no—
1075C2×C4—471no—
1076C2×C4—478no—
1077C2×C4—478no—
1078C2×C4—474no—
1079C2×C4—472no—
1080C2×C4—471no—
1081C2×C4—478no—
1082C2×C4—478no—
1083C2×C4—474no—
1084C2×C4—942no—
1085C2×C4—948no—
1086C2×C4—942no—
1087C2×C4—948no—
1088C2×C4—9416no—
1089C2×C4—9416no—
1090C2×C4—944no—
1091C2×C4—942no—
1092C2×C4—948no—
1093C2×C4—942no—
1094C2×C4—948no—
1095C2×C4—18816no—
1096C2×C4—1882no—
1097C2×C4—1884no—
1098C2×C4—1884no—
1099C2×C4—1884no—
1100C2×C4—18816no—
1101C2×C4—1888no—
1102C2×C4—1881no—
1103C2×C4—1884no—
1104C2×C4—1882no—
1105C2×C4—1888no—
1106C2×C4C2×Q8×D4714yescomplemented
1107C2×C4C24×D4712yes—
1108C2×C4C24×D4711yescharacteristic
1109C2×C4C24×D4718yes—
1110C2×C4C24×D4718yes—
1111C2×C4C24×D4714yes—
1112C2×C4C24×D4712yes—
1113C2×C4C24×D4711yescharacteristic
1114C22—24no—
1115C22—21no—
1116C22—24no—
1117C22—21no—
1118C22—48no—
1119C22—472no—
1120C22—472no—
1121C22—472no—
1122C22—472no—
1123C22—478no—
1124C22—948no—
1125C22—9432no—
1126C22—944no—
1127C22—941no—
1128C22—944no—
1129C22—941no—
1130C22—1888no—
1131C22—18816no—
1132C22C22×Q8×D4712yes—
1133C22C22×Q8×D4718yes—
1134C22C25×D4711yescharacteristic
1135C4—21no—
1136C4—24no—
1137C4—28no—
1138C4—28no—
1139C4—22no—
1140C4—474no—
1141C4—472no—
1142C4—941no—
1143C4—944no—
1144C4—948no—
1145C4—948no—
1146C4—942no—
1147C4C22×Q8×D4714yes—
1148C4H(5,𝔽2)×D4712yes—
1149C2—22no—
1150C2—28no—
1151C2—474no—
1152C2—942no—
1153C2—948no—
1154C2C23×Q8×D4711yescharacteristic
1155C2C2×H(5,𝔽2)×D4711yescharacteristic
1156C2#585×D4711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D47
commutator, socle, cosocleC22×C47C26
FittingC47×#3501C2
prime radicalC22×D4×D47C22
hypercenter#3501D47
hypocenterC47C2×#3501
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ #3501

Complements

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

NH ≅ G/Ntype
1. #20257191C2semidirect
2. #20257190C2semidirect
3. #20257189C2semidirect
4. #20257188C2semidirect
5. #20257187C2semidirect
6. #20257186C2semidirect
7. #20257185C2semidirect
8. #20257184C2semidirect
9. #20257183C2semidirect
10. #554×D47C2semidirect
11. #554×D47C2semidirect
12. D4×Q8×D47C2semidirect
13. #544×D47C2semidirect
14. #543×D47C2semidirect
15. #533×D47C2semidirect
16. C2×C22⋊Q8×D47C2semidirect
19. C47×#3501C2semidirect
20. C22×Q8×D47C22semidirect
23. #15689834C22semidirect
24. #15689834C22semidirect
25. #15689833C22semidirect
26. #15689833C22semidirect
27. #15689832C22semidirect
28. #15689832C22semidirect
29. #15689832C22semidirect
30. #15689831C22semidirect
31. #15689831C22semidirect
32. #15689830C22semidirect
33. #15689830C22semidirect
34. #15689829C22semidirect
35. #15689829C22semidirect
36. #15689829C22semidirect
37. #15689828C22semidirect
38. #15689828C22semidirect
39. #15689827C22semidirect
40. #15689827C22semidirect
41. #15689827C22semidirect
42. Q8×D188C22semidirect
43. D4×Dic94C22semidirect
44. D4×Dic94C22semidirect
45. #15689788C22semidirect
46. #15689788C22semidirect
47. Q8×C22⋊D47C22semidirect
48. #15689786C22semidirect
49. #15689786C22semidirect
50. #15689754C22semidirect
51. #15689753C22semidirect
52. #15689752C22semidirect
53. #15689751C22semidirect
54. #15689750C22semidirect
55. #15689749C22semidirect
56. #15689749C22semidirect
57. #15689748C22semidirect
58. #15689748C22semidirect
59. #15689748C22semidirect
60. #15689748C22semidirect
61. #15689680C22semidirect
62. #15689679C22semidirect
63. #15689678C22semidirect
64. #15689678C22semidirect
65. #15689677C22semidirect
66. #15689677C22semidirect
67. #15689676C22semidirect
68. #15689675C22semidirect
69. #15689675C22semidirect
70. C4⋊Q8×D47C22semidirect
71. C4⋊Q8×D47C22semidirect
72. C4⋊Q8×D47C22semidirect
73. #125×D47C22semidirect
74. #125×D47C22semidirect
75. C2×#13094004C22semidirect
76. C2×#13094003C22semidirect
77. C2×#13094002C22semidirect
78. C2×#13094001C22semidirect
79. C2×#13094000C22semidirect
83. C22⋊Q8×D47C22semidirect
84. C22⋊Q8×D47C22semidirect
85. C22⋊Q8×D47C22semidirect
86. C22⋊Q8×D47C22semidirect
87. C22⋊Q8×D47C22semidirect
88. C22⋊Q8×D47C22semidirect
89. C22⋊Q8×D47C22semidirect
90. C22⋊Q8×D47C22semidirect
96. C4×Q8×D47C22semidirect
97. C4×Q8×D47C22semidirect
111. C2×C4⋊C4×D47C22semidirect
112. C2×C4⋊C4×D47C22semidirect
116. C47×#554C22semidirect
117. C47×#554C22semidirect
118. D4×Q8×C47C22semidirect
119. C47×#544C22semidirect
120. C47×#543C22semidirect
121. C47×#533C22semidirect
122. C2×C22⋊Q8×C47C22semidirect
126. C22×Dic94C23semidirect
127. C22×Dic94C23semidirect
132. C2×Q8×D47C23semidirect
133. C2×Q8×D47C23semidirect
136. C2×D4×D47Q8semidirect
153. #13094024C23semidirect
154. #13094024C23semidirect
155. #13094024C23semidirect
156. #13094023C23semidirect
157. #13094023C23semidirect
158. #13094023C23semidirect
159. #13094023C23semidirect
160. #13094023C23semidirect
161. #13094023C23semidirect
162. #13094023C23semidirect
163. #13094022C23semidirect
164. #13094022C23semidirect
165. #13094022C23semidirect
166. #13094016C23semidirect
167. #13094016C23semidirect
168. #13094015C23semidirect
169. #13094015C23semidirect
170. #13094015C23semidirect
171. #13094015C23semidirect
172. #13094014C23semidirect
173. #13094014C23semidirect
174. #13094014C23semidirect
175. #13094014C23semidirect
179. #13094004C23semidirect
180. #13094004C23semidirect
181. #13094004C23semidirect
182. #13094004C23semidirect
186. #13094003C23semidirect
187. #13094003C23semidirect
188. #13094003C23semidirect
189. #13094003C23semidirect
193. #13094002C23semidirect
194. #13094002C23semidirect
195. #13094002C23semidirect
196. #13094002C23semidirect
197. #13094002C23semidirect
198. #13094002C23semidirect
202. #13094001C23semidirect
203. #13094001C23semidirect
204. #13094001C23semidirect
205. #13094001C23semidirect
206. #13094001C23semidirect
207. #13094001C23semidirect
211. #13094000C23semidirect
212. #13094000C23semidirect
213. #13094000C23semidirect
214. #13094000C23semidirect
215. Q8×Dic47C23semidirect
216. Q8×Dic47C23semidirect
217. C4×Dic94C23semidirect
218. C4×Dic94C23semidirect
219. C4×Dic94C23semidirect
220. C4×Dic94C23semidirect
221. #13093989C23semidirect
222. #13093989C23semidirect
223. #13093989C23semidirect
224. #13093989C23semidirect
251. C2×C4⋊Dic47C23semidirect
252. C2×C4⋊Dic47C23semidirect
254. C2×Dic47⋊C4C23semidirect
255. C2×Dic47⋊C4C23semidirect
256. C2×Dic47⋊C4C23semidirect
267. C4⋊C4×D47C23semidirect
268. C4⋊C4×D47C23semidirect
269. C4⋊C4×D47C23semidirect
270. C4⋊C4×D47C23semidirect
291. C22×Q8×C47C23semidirect
294. C4⋊Q8×C47C23semidirect
295. C4⋊Q8×C47C23semidirect
296. C4⋊Q8×C47C23semidirect
297. #125×C47C23semidirect
298. #125×C47C23semidirect
302. C22⋊Q8×C47C23semidirect
303. C22⋊Q8×C47C23semidirect
304. C22⋊Q8×C47C23semidirect
305. C22⋊Q8×C47C23semidirect
306. C4×Q8×C47C23semidirect
307. C4×Q8×C47C23semidirect
314. C2×C4⋊C4×C47C23semidirect
315. C2×C4⋊C4×C47C23semidirect
322. C23×D47C2×Q8semidirect
331. C2×D4×C47C2×Q8semidirect
342. C2×C22⋊D47C2×Q8semidirect
358. D4×D47C2×Q8semidirect
359. D4×D47C2×Q8semidirect
360. C2×D188C2×Q8semidirect
373. C2×C4×D47C2×Q8semidirect
456. C23×C47C22×Q8semidirect
470. C22×D47C22×Q8semidirect
471. C22×D47C22×Q8semidirect
478. D4×C47C22×Q8semidirect
486. C2×C4×C47C22×Q8semidirect
494. C22⋊D47C22×Q8semidirect
502. C2×Dic47C22×Q8semidirect
510. D188C22×Q8semidirect
527. C4×D47C22×Q8semidirect
580. #3501D47direct (N × H)
597. D47#3501direct (N × H)
620. #554C2×D47semidirect
621. #554C2×D47semidirect
630. D4×Q8C2×D47semidirect
636. #544C2×D47semidirect
643. #543C2×D47semidirect
653. #533C2×D47semidirect
675. C2×C22⋊Q8C2×D47semidirect
703. C47C2×#3501semidirect
713. C22×Q8C22×D47semidirect
748. C4⋊Q8C22×D47semidirect
749. C4⋊Q8C22×D47semidirect
750. C4⋊Q8C22×D47semidirect
761. #125C22×D47semidirect
762. #125C22×D47semidirect
805. C22⋊Q8C22×D47semidirect
806. C22⋊Q8C22×D47semidirect
807. C22⋊Q8C22×D47semidirect
808. C22⋊Q8C22×D47semidirect
819. C4×Q8C22×D47semidirect
820. C4×Q8C22×D47semidirect
873. C2×C4⋊C4C22×D47semidirect
874. C2×C4⋊C4C22×D47semidirect
929. C2×D4Q8×D47semidirect
1051. C23C2×Q8×D47semidirect
1065. D4C2×Q8×D47semidirect
1106. C2×C4C2×Q8×D47semidirect

Maximal subgroups

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

subgroupindex
#202571912
#202571902
#202571892
#202571882
#202571872
#202571862
#202571852
#202571842
#202571832
#554×D472
D4×Q8×D472
#544×D472
#543×D472
#533×D472
C2×C22⋊Q8×D472
#518×D472
C2×C4×D4×D472
C47×#35012
C2×#350147