Finite Group Databasebeta

← #26230260

Subgroups — #26230260

Order 12032.

786 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20244329C211yesmaximal, characteristic, complemented
2#20244325C211yesmaximal, characteristic, complemented
3#20244112C211yesmaximal, characteristic, complemented
4#20244107C211yesmaximal, characteristic, complemented
5#20243954C211yesmaximal, characteristic, complemented
6#20243954C211yesmaximal, characteristic, complemented
7#20243947C211yesmaximal, characteristic, complemented
8#20243947C211yesmaximal, characteristic, complemented
9#20243568C211yesmaximal, characteristic
10#20243568C211yesmaximal, characteristic
11#20243368C211yesmaximal, characteristic
12#20243166C211yesmaximal, characteristic
13C22⋊C4×C47⋊C8C211yesmaximal, characteristic
14C2×#15688878C211yesmaximal, characteristic
15C4×C22⋊Q8×C47C211yesmaximal, characteristic
16C23×C47⋊C8C2211yescharacteristic
17C23×C47⋊C8C2211yescharacteristic
18C2×C4⋊(C47⋊C8)C2211yescharacteristic
19C2×C4⋊(C47⋊C8)C2211yescharacteristic
20C2×C4⋊(C47⋊C8)C2211yescharacteristic
21C2×C4⋊(C47⋊C8)C2211yescharacteristic
22C2×C4⋊(C47⋊C8)C2211yescharacteristic
23C2×C4⋊(C47⋊C8)C2211yescharacteristic
24C2×C22⋊(C47⋊C8)C2211yescharacteristic
25C2×C22⋊(C47⋊C8)C2211yescharacteristic
26C2×#13093935C2211yescharacteristic
27C2×#13093935C2211yescharacteristic
28C2×C4×C47⋊C8C2211yescharacteristic
29C2×C4×C47⋊C8C2211yescharacteristic
30#15688878C2211yescharacteristic
31#15688878C2211yescharacteristic
32#15688878C2211yescharacteristic
33#15688878C2211yescharacteristic
34#15688878C2211yescharacteristic
35#15688878C2211yescharacteristic
36#15688878C2211yescharacteristic
37#15688878C2211yescharacteristic
38#15688878C2211yescharacteristic
39#15688878C2211yescharacteristic
40#15688878C2211yescharacteristic
41#15688878C2211yescharacteristic
42#15688878C2211yescharacteristic
43#15688878C2211yescharacteristic
44C2×C22⋊Q8×C47C411yescharacteristic
45C2×C4×Q8×C47C2211yescharacteristic
46C22×C42×C47C2211yescharacteristic
47C47×#391C411yescharacteristic
48C47×#389C411yescharacteristic
49C47×#387C411yescharacteristic
50C47×#387C411yescharacteristic
51C47×#385C411yescharacteristic
52C47×#385C411yescharacteristic
53C47×#380C411yescharacteristic
54C4×C4⋊C4×C47C2211yescharacteristic
55C4×C4⋊C4×C47C2211yescharacteristic
56C4×C4⋊C4×C47C2211yescharacteristic
57C4×C22⋊C4×C47C2211yescharacteristic
58C4×C22⋊C4×C47C2211yescharacteristic
59C22×C47⋊C8—22no—
60C22×C47⋊C8—41no—
61C22×C47⋊C8—41no—
62C22×C47⋊C8—41no—
63C22×C47⋊C8—41no—
64C22×C47⋊C8Q814yescomplemented
65C22×C47⋊C8C2311yescharacteristic
66C22×C47⋊C8C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68C22×C47⋊C8C2311yescharacteristic
69C22×C47⋊C8C2311yescharacteristic
70C22×C47⋊C8C2311yescharacteristic
71C22×C47⋊C8C2311yescharacteristic
72C22×C47⋊C8C2311yescharacteristic
73C4⋊(C47⋊C8)—41no—
74C4⋊(C47⋊C8)—41no—
75C4⋊(C47⋊C8)—41no—
76C4⋊(C47⋊C8)—41no—
77C4⋊(C47⋊C8)—41no—
78C4⋊(C47⋊C8)—41no—
79C22⋊(C47⋊C8)—22no—
80C22⋊(C47⋊C8)—22no—
81#13093935—41no—
82#13093935—41no—
83C4×C47⋊C8—41no—
84C4×C47⋊C8—41no—
85C22×Q8×C47C2×C411yescharacteristic
86C23×C4×C47C2×C411yescharacteristic
87C23×C4×C47C2×C411yescharacteristic
88C23×C4×C47C2311yescharacteristic
89C22⋊Q8×C47—24no—
90C4×Q8×C47—41no—
91C4×Q8×C47—41no—
92C2×C4⋊C4×C47C2×C411yescharacteristic
93C2×C4⋊C4×C47C2×C411yescharacteristic
94C2×C4⋊C4×C47C2×C411yescharacteristic
95C2×C4⋊C4×C47C2×C411yescharacteristic
96C2×C4⋊C4×C47C2×C411yescharacteristic
97C2×C4⋊C4×C47C2×C411yescharacteristic
98C2×C4⋊C4×C47C2×C411yescharacteristic
99C2×C4⋊C4×C47C2×C411yescharacteristic
100C2×C4⋊C4×C47C2×C411yescharacteristic
101C2×C22⋊C4×C47C2×C411yescharacteristic
102C2×C22⋊C4×C47C2×C411yescharacteristic
103C2×C22⋊C4×C47C2×C411yescharacteristic
104C2×C22⋊C4×C47C2×C411yescharacteristic
105C2×C42×C47—41no—
106C2×C42×C47—41no—
107C2×C42×C47C2×C411yescharacteristic
108C2×C42×C47C2×C411yescharacteristic
109C2×C42×C47C2311yescharacteristic
110C2×C42×C47C2311yescharacteristic
111C2×C42×C47C2311yescharacteristic
112C2×C42×C47C2311yescharacteristic
113C2×C42×C47C2311yescharacteristic
114C2×C42×C47C2311yescharacteristic
115#95×C47C2×C411yescharacteristic
116#95×C47C2×C411yescharacteristic
117#95×C47C2×C411yescharacteristic
118#95×C47C2×C411yescharacteristic
119#95×C47C2×C411yescharacteristic
120#95×C47C2×C411yescharacteristic
121#95×C47C2×C411yescharacteristic
122#95×C47C2×C411yescharacteristic
123#95×C47C2×C411yescharacteristic
124#95×C47C2×C411yescharacteristic
125C24×C47C22×C411yescharacteristic
126C2×Q8×C47—22no—
127C2×Q8×C47—22no—
128C2×Q8×C47—41no—
129C22×C4×C47—21no—
130C22×C4×C47—21no—
131C22×C4×C47—21no—
132C22×C4×C47—21no—
133C22×C4×C47—22no—
134C22×C4×C47—22no—
135C22×C4×C47—22no—
136C22×C4×C47—22no—
137C22×C4×C47—41no—
138C22×C4×C47—41no—
139C22×C4×C47C22×C411yescharacteristic
140C22×C4×C47C22×C411yescharacteristic
141C22×C4×C47C22×C411yescharacteristic
142C22×C4×C47C22×C411yescharacteristic
143C22×C4×C47C22×C411yescharacteristic
144C22×C4×C47C22×C411yescharacteristic
145C22×C4×C47C22×C411yescharacteristic
146C22×C4×C47C22×C411yescharacteristic
147C22×C4×C47C22×C411yescharacteristic
148C22×C4×C47C22×C411yescharacteristic
149C22×C4×C47C22×C411yescharacteristic
150C22×C4×C47C22×C411yescharacteristic
151C22×C4×C47C22×C411yescharacteristic
152C22×C4×C47C2×Q812yes—
153C22×C4×C47#4112yes—
154C22×C4×C47C2411yescharacteristic
155C4⋊C4×C47—22no—
156C4⋊C4×C47—22no—
157C4⋊C4×C47—22no—
158C4⋊C4×C47—22no—
159C4⋊C4×C47—22no—
160C4⋊C4×C47—22no—
161C4⋊C4×C47—41no—
162C4⋊C4×C47—41no—
163C4⋊C4×C47—41no—
164C22⋊C4×C47—22no—
165C22⋊C4×C47—22no—
166C22⋊C4×C47—22no—
167C22⋊C4×C47M1614yes—
168C42×C47—21no—
169C42×C47—21no—
170C42×C47—21no—
171C42×C47—21no—
172C42×C47—21no—
173C42×C47—21no—
174C42×C47—21no—
175C42×C47—21no—
176C42×C47—21no—
177C42×C47—21no—
178C42×C47—21no—
179C42×C47—21no—
180C42×C47—41no—
181C42×C47—41no—
182C2×C47⋊C8—21no—
183C2×C47⋊C8—21no—
184C2×C47⋊C8—21no—
185C2×C47⋊C8—21no—
186C2×C47⋊C8—21no—
187C2×C47⋊C8—21no—
188C2×C47⋊C8—21no—
189C2×C47⋊C8—21no—
190C2×C47⋊C8—21no—
191C2×C47⋊C8—21no—
192C2×C47⋊C8—21no—
193C2×C47⋊C8—21no—
194C2×C47⋊C8—21no—
195C2×C47⋊C8—21no—
196C2×C47⋊C8—21no—
197C2×C47⋊C8—21no—
198C2×C47⋊C8—21no—
199C2×C47⋊C8—21no—
200C2×C47⋊C8—21no—
201C2×C47⋊C8—21no—
202C2×C47⋊C8—21no—
203C2×C47⋊C8—21no—
204C2×C47⋊C8—44no—
205C2×C47⋊C8—44no—
206C2×C47⋊C8C2×Q812yes—
207C2×C47⋊C8C2×Q812yes—
208C23×C47—21no—
209C23×C47—21no—
210C23×C47—21no—
211C23×C47—21no—
212C23×C47C4×Q812yes—
213C23×C47C2×M1612yes—
214C23×C47#13112yes—
215C23×C47C23×C411yescharacteristic
216Q8×C47—44no—
217C2×C4×C47—21no—
218C2×C4×C47—21no—
219C2×C4×C47—21no—
220C2×C4×C47—21no—
221C2×C4×C47—21no—
222C2×C4×C47—21no—
223C2×C4×C47—21no—
224C2×C4×C47—21no—
225C2×C4×C47—21no—
226C2×C4×C47—21no—
227C2×C4×C47—22no—
228C2×C4×C47—22no—
229C2×C4×C47—22no—
230C2×C4×C47—22no—
231C2×C4×C47—21no—
232C2×C4×C47—21no—
233C2×C4×C47—21no—
234C2×C4×C47—21no—
235C2×C4×C47—21no—
236C2×C4×C47—21no—
237C2×C4×C47—21no—
238C2×C4×C47—21no—
239C2×C4×C47—21no—
240C2×C4×C47—21no—
241C2×C4×C47—21no—
242C2×C4×C47—21no—
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—21no—
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—21no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—44no—
256C2×C4×C47—44no—
257C2×C4×C47C4×Q812yes—
258C2×C4×C47C2×M1612yes—
259C2×C4×C47C2×M1612yes—
260C2×C4×C47#13112yes—
261C2×C4×C47#13112yes—
262C2×C4×C47C22×Q811yescharacteristic
263C2×C4×C47C2×#4111yescharacteristic
264C2×C4×C47H(5,𝔽2)11yescharacteristic
265C2×C4×C47H(5,𝔽2)11yescharacteristic
266C2×C4×C47H(5,𝔽2)11yescharacteristic
267C2×C4×C472−1+411yescharacteristic
268C47⋊C8—22no—
269C47⋊C8—22no—
270C47⋊C8—41no—
271C47⋊C8—41no—
272C47⋊C8—41no—
273C47⋊C8—41no—
274C47⋊C8—41no—
275C47⋊C8—41no—
276#22291—471nomaximal, Sylow
277C22×C47—22no—
278C22×C47—22no—
279C22×C47—22no—
280C22×C47—22no—
281C22×C47—22no—
282C22×C47—22no—
283C22×C47#44614yes—
284C22×C47C2×C4×Q811yescharacteristic
285C22×C47#51811yescharacteristic
286C22×C47#52011yescharacteristic
287C22×C47C22×M1611yescharacteristic
288C22×C47C2×#13111yescharacteristic
289C22×C47C2×#13111yescharacteristic
290C22×C47C2×#13111yescharacteristic
291C4×C47—22no—
292C4×C47—22no—
293C4×C47—22no—
294C4×C47—22no—
295C4×C47—22no—
296C4×C47—41no—
297C4×C47—41no—
298C4×C47—41no—
299C4×C47—41no—
300C4×C47—41no—
301C4×C47—41no—
302C4×C47—41no—
303C4×C47—41no—
304C4×C47#53811yescharacteristic
305C4×C47#53911yescharacteristic
306C4×C47#54311yescharacteristic
307C4×C47#54411yescharacteristic
308C4×C22⋊Q8D4711yescharacteristic
309#1985—471no—
310#1984—471no—
311#1940—471no—
312#1939—471no—
313#1917—471no—
314#1917—471no—
315#1916—471no—
316#1916—471no—
317#1850—471no—
318#1850—471no—
319#1797—471no—
320#1752—471no—
321C8×C22⋊C4—471no—
322C2×#336—471no—
323C2×C47—24no—
324C2×C47#232911yescharacteristic
325C2×C47C2×#44611yescharacteristic
326C2×C47#296011yescharacteristic
327C2×C47#297411yescharacteristic
328C2×C47#297711yescharacteristic
329C2×C47#299011yescharacteristic
330C2×C47#299411yescharacteristic
331C23×C8—471no—
332C23×C8—471no—
333C2×C22⋊Q8Dic4711yescharacteristic
334C2×C4×Q8C2×D4711yescharacteristic
335C22×C42C2×D4711yescharacteristic
336C2×C4⋊C8—471no—
337C2×C4⋊C8—471no—
338C2×C4⋊C8—471no—
339C2×C4⋊C8—471no—
340C2×C4⋊C8—471no—
341C2×C4⋊C8—471no—
342C2×C22⋊C8—471no—
343C2×C22⋊C8—471no—
344C2×#97—471no—
345C2×#97—471no—
346C2×C4×C8—471no—
347C2×C4×C8—471no—
348#391Dic4711yescharacteristic
349#389Dic4711yescharacteristic
350#387Dic4711yescharacteristic
351#387Dic4711yescharacteristic
352#385Dic4711yescharacteristic
353#385Dic4711yescharacteristic
354#380Dic4711yescharacteristic
355C4×C4⋊C4C2×D4711yescharacteristic
356C4×C4⋊C4C2×D4711yescharacteristic
357C4×C4⋊C4C2×D4711yescharacteristic
358C4×C22⋊C4C2×D4711yescharacteristic
359C4×C22⋊C4C2×D4711yescharacteristic
360#336—471no—
361#336—471no—
362#336—471no—
363#336—471no—
364#336—471no—
365#336—471no—
366#336—471no—
367#336—471no—
368#336—471no—
369#336—471no—
370#336—471no—
371#336—471no—
372#336—471no—
373#336—471no—
374C47#2229111yescharacteristic, complemented, Sylow
375C22×Q8C2×Dic4711yescharacteristic
376C23×C4C2×Dic4711yescharacteristic
377C23×C4C2×Dic4711yescharacteristic
378C23×C4C22×D4711yescharacteristic
379C22×C8—471no—
380C22×C8—471no—
381C22×C8—474no—
382C22×C8—471no—
383C22×C8—471no—
384C22×C8—471no—
385C22×C8—471no—
386C22×C8—471no—
387C22×C8—471no—
388C22×C8—942no—
389C22×C8—1881no—
390C22×C8—1881no—
391C22×C8—1881no—
392C22×C8—1881no—
393C22⋊Q8—24no—
394C4×Q8—41no—
395C4×Q8—41no—
396C2×C4⋊C4C2×Dic4711yescharacteristic
397C2×C4⋊C4C2×Dic4711yescharacteristic
398C2×C4⋊C4C2×Dic4711yescharacteristic
399C2×C4⋊C4C2×Dic4711yescharacteristic
400C2×C4⋊C4C2×Dic4711yescharacteristic
401C2×C4⋊C4C2×Dic4711yescharacteristic
402C2×C4⋊C4C2×Dic4711yescharacteristic
403C2×C4⋊C4C2×Dic4711yescharacteristic
404C2×C4⋊C4C2×Dic4711yescharacteristic
405C2×C22⋊C4C2×Dic4711yescharacteristic
406C2×C22⋊C4C2×Dic4711yescharacteristic
407C2×C22⋊C4C2×Dic4711yescharacteristic
408C2×C22⋊C4C2×Dic4711yescharacteristic
409C2×C42—41no—
410C2×C42—41no—
411C2×C42C2×Dic4711yescharacteristic
412C2×C42C2×Dic4711yescharacteristic
413C2×C42C22×D4711yescharacteristic
414C2×C42C22×D4711yescharacteristic
415C2×C42C22×D4711yescharacteristic
416C2×C42C22×D4711yescharacteristic
417C2×C42C22×D4711yescharacteristic
418C2×C42C22×D4711yescharacteristic
419C4⋊C8—1881no—
420C4⋊C8—1881no—
421C4⋊C8—1881no—
422C4⋊C8—1881no—
423C4⋊C8—1881no—
424C4⋊C8—1881no—
425C22⋊C8—942no—
426C22⋊C8—942no—
427#97—1881no—
428#97—1881no—
429C4×C8—1881no—
430C4×C8—1881no—
431#95C2×Dic4711yescharacteristic
432#95C2×Dic4711yescharacteristic
433#95C2×Dic4711yescharacteristic
434#95C2×Dic4711yescharacteristic
435#95C2×Dic4711yescharacteristic
436#95C2×Dic4711yescharacteristic
437#95C2×Dic4711yescharacteristic
438#95C2×Dic4711yescharacteristic
439#95C2×Dic4711yescharacteristic
440#95C2×Dic4711yescharacteristic
441C24C22×Dic4711yescharacteristic
442C2×Q8—22no—
443C2×Q8—22no—
444C2×Q8—41no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4Q8×D4712yes—
456C22×C4#1062535412yes—
457C22×C4C22×Dic4711yescharacteristic
458C22×C4C22×Dic4711yescharacteristic
459C22×C4C22×Dic4711yescharacteristic
460C22×C4C22×Dic4711yescharacteristic
461C22×C4C22×Dic4711yescharacteristic
462C22×C4C22×Dic4711yescharacteristic
463C22×C4C22×Dic4711yescharacteristic
464C22×C4C22×Dic4711yescharacteristic
465C22×C4C22×Dic4711yescharacteristic
466C22×C4C22×Dic4711yescharacteristic
467C22×C4C22×Dic4711yescharacteristic
468C22×C4C22×Dic4711yescharacteristic
469C22×C4C22×Dic4711yescharacteristic
470C22×C4C23×D4711yescharacteristic
471C2×C8—472no—
472C2×C8—472no—
473C2×C8—941no—
474C2×C8—941no—
475C2×C8—941no—
476C2×C8—941no—
477C2×C8—941no—
478C2×C8—941no—
479C2×C8—941no—
480C2×C8—941no—
481C2×C8—941no—
482C2×C8—941no—
483C2×C8—941no—
484C2×C8—941no—
485C2×C8—941no—
486C2×C8—941no—
487C2×C8—941no—
488C2×C8—941no—
489C2×C8—941no—
490C2×C8—941no—
491C2×C8—941no—
492C2×C8—941no—
493C2×C8—941no—
494C2×C8—941no—
495C2×C8—1884no—
496C2×C8—1884no—
497C4⋊C4—22no—
498C4⋊C4—22no—
499C4⋊C4—22no—
500C4⋊C4—22no—
501C4⋊C4—22no—
502C4⋊C4—22no—
503C4⋊C4—41no—
504C4⋊C4—41no—
505C4⋊C4—41no—
506C22⋊C4—22no—
507C22⋊C4—22no—
508C22⋊C4—22no—
509C22⋊C4#1062532914yes—
510C42—21no—
511C42—21no—
512C42—21no—
513C42—21no—
514C42—21no—
515C42—21no—
516C42—21no—
517C42—21no—
518C42—21no—
519C42—21no—
520C42—21no—
521C42—21no—
522C42—41no—
523C42—41no—
524C23—21no—
525C23—21no—
526C23—21no—
527C23—21no—
528C23Q8×Dic4712yes—
529C23C2×#1062532912yes—
530C23#1309403112yes—
531C23C23×Dic4711yescharacteristic
532Q8—44no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—44no—
572C2×C4—44no—
573C2×C4Q8×Dic4712yes—
574C2×C4C2×#1062532912yes—
575C2×C4C2×#1062532912yes—
576C2×C4#1309403112yes—
577C2×C4#1309403112yes—
578C2×C4C2×Q8×D4711yescharacteristic
579C2×C4C2×#1062535411yescharacteristic
580C2×C4#1309406911yescharacteristic
581C2×C4#1309406911yescharacteristic
582C2×C4#1309407011yescharacteristic
583C2×C4#1309407111yescharacteristic
584C8—942no—
585C8—942no—
586C8—1881no—
587C8—1881no—
588C8—1881no—
589C8—1881no—
590C8—1881no—
591C8—1881no—
592C22—22no—
593C22—22no—
594C22—22no—
595C22—22no—
596C22—22no—
597C22—22no—
598C22#1568925414yes—
599C22C2×Q8×Dic4711yescharacteristic
600C22#1568959811yescharacteristic
601C22#1568960611yescharacteristic
602C22C22×#1062532911yescharacteristic
603C22C2×#1309403111yescharacteristic
604C22C2×#1309403111yescharacteristic
605C22C2×#1309403111yescharacteristic
606C4—22no—
607C4—22no—
608C4—22no—
609C4—22no—
610C4—22no—
611C4—41no—
612C4—41no—
613C4—41no—
614C4—41no—
615C4—41no—
616C4—41no—
617C4—41no—
618C4—41no—
619C4#1568971311yescharacteristic
620C4#1568972211yescharacteristic
621C4#1568974811yescharacteristic
622C4#1568975211yescharacteristic
623C2—24no—
624C2#2024612311yescharacteristic
625C2C2×#1568925411yescharacteristic
626C2#2025232311yescharacteristic
627C2#2025242311yescharacteristic
628C2#2025244411yescharacteristic
629C2#2025251311yescharacteristic
630C2#2025254811yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC4×C22⋊Q8×C47C2
prime radicalC24×C47C22×C4
cosocleC22×C4×C47C24
hypercenterC4×C22⋊Q8D47
hypocenterC47#22291
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. #20244329C2semidirect
2. #20244325C2semidirect
3. #20244112C2semidirect
4. #20244107C2semidirect
5. #20243954C2semidirect
6. #20243954C2semidirect
7. #20243947C2semidirect
8. #20243947C2semidirect
64. C22×C47⋊C8Q8semidirect
374. C47#22291semidirect

Maximal subgroups

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

subgroupindex
#202443292
#202443252
#202441122
#202441072
#202439542
#202439472
#202435682
#202433682
#202431662
C22⋊C4×C47⋊C82
C2×#156888782
C4×C22⋊Q8×C472
#2229147