Finite Group Databasebeta

← #26226091

Subgroups — #26226091

Order 12032.

1158 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20245795C211yesmaximal, characteristic, complemented
2#20245786C211yesmaximal, characteristic, complemented
3#20244374C212yesmaximal, complemented
4#20244225C212yesmaximal
5#20243847C214yesmaximal, complemented
6#20243376C214yesmaximal, complemented
7C2×C47×#529C211yesmaximal, characteristic
8C2×#13093983C2212yes—
9C2×#13093939C2218yes—
10#15688993—21no—
11#15688991—21no—
12#15688989—21no—
13#15688989—21no—
14#15688986C2212yes—
15#15688983C2212yes—
16#15688983C2212yes—
17#15688983C2212yes—
18C4×C4⋊Dic47—21no—
19C4×C4⋊Dic47—21no—
20C4×C4⋊Dic47—21no—
21C4×C22⋊Dic47C2212yes—
22#15688969—21no—
23#15688890C2218yes—
24C47×#529—21no—
25C47×#529—21no—
26C47×#529—21no—
27C47×#529—21no—
28C47×#529—21no—
29C47×#529—21no—
30C47×#529—21no—
31C47×#529—21no—
32C2×#126×C47C412yescomplemented
33C2×#125×C47C411yescharacteristic, complemented
34C2×#124×C47C411yescharacteristic, complemented
35C2×#123×C47C2212yes—
36C2×C22⋊Q8×C47C2211yescharacteristic
37C2×#121×C47C2211yescharacteristic
38C2×C4×Q8×C47C411yescharacteristic, complemented
39C2×C4×D4×C47C411yescharacteristic, complemented
40C2×C4×D4×C47C2212yes—
41C2×#117×C47C412yescomplemented
42C22×C42×C47C2211yescharacteristic
43#13093983—44no—
44C2×C4⋊Dic47—22no—
45C2×C4⋊Dic47—22no—
46C2×C4⋊Dic47—22no—
47C2×C4⋊Dic47—22no—
48C2×C22⋊Dic47C2314yes—
49C2×C22⋊Dic47C2314yes—
50C2×C4×Dic47—22no—
51C2×C4×Dic47—22no—
52#13093939—48no—
53C47⋊#95—22no—
54C47⋊#95—22no—
55C47⋊#95—22no—
56C47⋊#95—22no—
57C47⋊#95—22no—
58C47⋊#95—22no—
59C22×Q8×C47C2×C411yescharacteristic
60C22×D4×C47C2×C411yescharacteristic
61C22×D4×C47C2312yes—
62C23×C4×C47C2×C412yes—
63C23×C4×C47C2311yescharacteristic
64C23×C4×C47C2311yescharacteristic
65C23×C4×C47C2311yescharacteristic
66#126×C47—22no—
67#126×C47—22no—
68#126×C47—22no—
69#126×C47—22no—
70#125×C47—21no—
71#125×C47—21no—
72#125×C47—21no—
73#125×C47—21no—
74#124×C47—21no—
75#124×C47—21no—
76#124×C47—21no—
77#124×C47—21no—
78#123×C47—22no—
79#123×C47—22no—
80#123×C47—22no—
81#123×C47—22no—
82C22⋊Q8×C47—21no—
83C22⋊Q8×C47—21no—
84C22⋊Q8×C47—21no—
85C22⋊Q8×C47—21no—
86#121×C47—21no—
87#121×C47—21no—
88#121×C47—21no—
89#121×C47—21no—
90C4×Q8×C47—21no—
91C4×Q8×C47—21no—
92C4×Q8×C47—21no—
93C4×Q8×C47—21no—
94C4×D4×C47—22no—
95C4×D4×C47—22no—
96C4×D4×C47—22no—
97C4×D4×C47—22no—
98C4×D4×C47—21no—
99C4×D4×C47—21no—
100C4×D4×C47—21no—
101C4×D4×C47—21no—
102#117×C47—22no—
103#117×C47—22no—
104#117×C47—22no—
105#117×C47—22no—
106C2×C4⋊C4×C47C2×C412yes—
107C2×C4⋊C4×C47C2×C412yes—
108C2×C4⋊C4×C47C2×C411yescharacteristic
109C2×C4⋊C4×C47C2×C412yes—
110C2×C4⋊C4×C47C2×C411yescharacteristic
111C2×C4⋊C4×C47C2×C412yes—
112C2×C22⋊C4×C47C2×C412yes—
113C2×C22⋊C4×C47C2×C412yes—
114C2×C22⋊C4×C47C2×C412yes—
115C2×C22⋊C4×C47C2×C412yes—
116C2×C22⋊C4×C47C2312yes—
117C2×C42×C47C2×C412yes—
118C2×C42×C47C2×C411yescharacteristic
119C2×C42×C47C2×C411yescharacteristic
120C2×C42×C47C2×C411yescharacteristic
121C2×C42×C47C2×C411yescharacteristic
122C2×C42×C47D411yescharacteristic
123C2×C42×C47D411yescharacteristic
124C2×C42×C47D411yescharacteristic
125C2×C42×C47D411yescharacteristic
126C2×C42×C47D411yescharacteristic
127C2×C42×C47D411yescharacteristic
128C2×C42×C47D411yescharacteristic
129C2×C42×C47D411yescharacteristic
130C24×C47C22×C412yes—
131C24×C47C2411yescharacteristic
132C2×Q8×C47—21no—
133C2×Q8×C47—21no—
134C2×Q8×C47—42no—
135C2×D4×C47—22no—
136C2×D4×C47—22no—
137C2×D4×C47—24no—
138C2×D4×C47—24no—
139C2×D4×C47—21no—
140C2×D4×C47—21no—
141C2×D4×C47—42no—
142C22×C4×C47—22no—
143C22×C4×C47—22no—
144C22×C4×C47—22no—
145C22×C4×C47—22no—
146C22×C4×C47—42no—
147C22×C4×C47—42no—
148C22×C4×C47—44no—
149C22×C4×C47C22×C412yes—
150C22×C4×C47C22×C411yescharacteristic
151C22×C4×C47C22×C411yescharacteristic
152C22×C4×C47C22×C411yescharacteristic
153C22×C4×C47C22×C411yescharacteristic
154C22×C4×C47C22×C412yes—
155C22×C4×C47C22×C412yes—
156C22×C4×C47C22×C411yescharacteristic
157C22×C4×C47C22×C411yescharacteristic
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D411yescharacteristic
160C22×C4×C47C2×D411yescharacteristic
161C22×C4×C47C2×D411yescharacteristic
162C22×C4×C47C2×D411yescharacteristic
163C22×C4×C47C2×D411yescharacteristic
164C22×C4×C47C2×D411yescharacteristic
165C22×C4×C47C2×D411yescharacteristic
166C22×C4×C47C2×D411yescharacteristic
167C22×C4×C47C2×D411yescharacteristic
168C22×C4×C47C2×D411yescharacteristic
169C22×C4×C47C2×D411yescharacteristic
170C22×Dic47—24no—
171C22×Dic47—24no—
172C4⋊C4×C47—22no—
173C4⋊C4×C47—22no—
174C4⋊C4×C47—22no—
175C4⋊C4×C47—22no—
176C4⋊C4×C47—21no—
177C4⋊C4×C47—21no—
178C4⋊C4×C47—22no—
179C4⋊C4×C47—22no—
180C4⋊C4×C47—21no—
181C4⋊C4×C47—21no—
182C4⋊C4×C47—22no—
183C4⋊C4×C47—22no—
184C22⋊C4×C47—22no—
185C22⋊C4×C47—22no—
186C22⋊C4×C47—22no—
187C22⋊C4×C47—22no—
188C22⋊C4×C47—22no—
189C22⋊C4×C47—22no—
190C22⋊C4×C47—22no—
191C22⋊C4×C47—22no—
192C22⋊C4×C47—22no—
193C22⋊C4×C47—22no—
194C42×C47—22no—
195C42×C47—22no—
196C42×C47C22⋊C411yescharacteristic
197C42×C47C22⋊C411yescharacteristic
198C42×C47C22⋊C411yescharacteristic
199C42×C47C22⋊C411yescharacteristic
200C42×C47C22⋊C411yescharacteristic
201C42×C47C22⋊C411yescharacteristic
202C42×C47C22⋊C411yescharacteristic
203C42×C47C22⋊C411yescharacteristic
204C42×C47C22⋊C411yescharacteristic
205C42×C47C22⋊C411yescharacteristic
206C42×C47C22⋊C411yescharacteristic
207C42×C47C22⋊C411yescharacteristic
208C42×C47C22⋊C411yescharacteristic
209C42×C47C22⋊C411yescharacteristic
210C42×C47C22⋊C411yescharacteristic
211C42×C47C22⋊C411yescharacteristic
212C22⋊Dic47—24no—
213C22⋊Dic47—28no—
214C22⋊Dic47—24no—
215C4⋊Dic47—44no—
216C4⋊Dic47—44no—
217C4⋊Dic47—44no—
218C4⋊Dic47—44no—
219C4×Dic47—44no—
220C4×Dic47—44no—
221C23×C47—22no—
222C23×C47—24no—
223C23×C47—41no—
224C23×C47—41no—
225C23×C47—42no—
226C23×C47—42no—
227C23×C47C23×C411yescharacteristic
228C23×C47C22×D411yescharacteristic
229C23×C47C22×D411yescharacteristic
230C23×C47H(5,𝔽2)12yes—
231C23×C472−1+412yes—
232Q8×C47—42no—
233Q8×C47—42no—
234D4×C47—42no—
235D4×C47—42no—
236D4×C47—42no—
237D4×C47—44no—
238D4×C47—42no—
239C2×C4×C47—22no—
240C2×C4×C47—22no—
241C2×C4×C47—21no—
242C2×C4×C47—21no—
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—22no—
246C2×C4×C47—22no—
247C2×C4×C47—22no—
248C2×C4×C47—22no—
249C2×C4×C47—22no—
250C2×C4×C47—22no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—24no—
257C2×C4×C47—41no—
258C2×C4×C47—41no—
259C2×C4×C47—41no—
260C2×C4×C47—41no—
261C2×C4×C47—41no—
262C2×C4×C47—41no—
263C2×C4×C47—44no—
264C2×C4×C47—44no—
265C2×C4×C47—42no—
266C2×C4×C47—42no—
267C2×C4×C47C2×C22⋊C411yescharacteristic
268C2×C4×C47C2×C22⋊C411yescharacteristic
269C2×C4×C47C2×C22⋊C411yescharacteristic
270C2×C4×C47C2×C22⋊C411yescharacteristic
271C2×C4×C47C2×C22⋊C411yescharacteristic
272C2×C4×C47C2×C22⋊C411yescharacteristic
273C2×C4×C47C2×C22⋊C411yescharacteristic
274C2×C4×C47C2×C22⋊C411yescharacteristic
275C2×C4×C47C2×C22⋊C411yescharacteristic
276C2×C4×C47C2×C22⋊C411yescharacteristic
277C2×C4×C47C2×C22⋊C411yescharacteristic
278C2×C4×C47C2×C22⋊C411yescharacteristic
279C2×Dic47—44no—
280C2×Dic47—44no—
281C2×Dic47—44no—
282C2×Dic47—44no—
283C2×Dic47—44no—
284C2×Dic47—44no—
285#21875—471nomaximal, Sylow
286C22×C47—21no—
287C22×C47—21no—
288C22×C47—21no—
289C22×C47—21no—
290C22×C47—21no—
291C22×C47—21no—
292C22×C47—42no—
293C22×C47—42no—
294C22×C47—42no—
295C22×C47—42no—
296C22×C47—42no—
297C22×C47—84no—
298C22×C47C22×C22⋊C411yescharacteristic
299C22×C47#52012yes—
300C22×C47#53511yescharacteristic
301C22×C47#53611yescharacteristic
302C22×C47#53712yes—
303C4×C47—21no—
304C4×C47—21no—
305C4×C47—21no—
306C4×C47—21no—
307C4×C47—21no—
308C4×C47—21no—
309C4×C47—21no—
310C4×C47—21no—
311C4×C47—21no—
312C4×C47—21no—
313C4×C47—42no—
314C4×C47—42no—
315C4×C47—42no—
316C4×C47#41012yes—
317C4×C47#41012yes—
318Dic47—84no—
319Dic47—84no—
320C2×#529D4711yescharacteristic
321#2285—471no—
322#2283—471no—
323#1996—472no—
324#1964—472no—
325#1899—474no—
326#1799—474no—
327C2×C47—21no—
328C2×C47—22no—
329C2×C47—22no—
330C2×C47—21no—
331C2×C47—82no—
332C2×C47#231111yescharacteristic
333C2×C47C2×#41011yescharacteristic
334C2×C47C2×#41011yescharacteristic
335#529—21no—
336#529—21no—
337#529—21no—
338#529—21no—
339#529—21no—
340#529—21no—
341#529—21no—
342#529—21no—
343C2×#126Dic4712yescomplemented
344C2×#125Dic4711yescharacteristic, complemented
345C2×#124Dic4711yescharacteristic, complemented
346C2×#123C2×D4712yes—
347C2×C22⋊Q8C2×D4711yescharacteristic
348C2×#121C2×D4711yescharacteristic
349C2×C4×Q8Dic4711yescharacteristic, complemented
350C2×C4×D4Dic4711yescharacteristic, complemented
351C2×C4×D4C2×D4712yes—
352C2×#117—472no—
353C2×#117Dic4712yescomplemented
354C22×C42C2×D4711yescharacteristic
355C2×#99—478no—
356#384—941no—
357#383—941no—
358#382—941no—
359#382—941no—
360#381—472no—
361#380—472no—
362#380—472no—
363#380—472no—
364C4×C4⋊C4—941no—
365C4×C4⋊C4—941no—
366C4×C4⋊C4—941no—
367C4×C22⋊C4—472no—
368#376—941no—
369#342—478no—
370C47#2187511yescharacteristic, complemented, Sylow
371C22×Q8C2×Dic4711yescharacteristic
372C22×D4C2×Dic4711yescharacteristic
373C22×D4C22×D4712yes—
374C23×C4C2×Dic4712yes—
375C23×C4C22×D4711yescharacteristic
376C23×C4C22×D4711yescharacteristic
377C23×C4C22×D4711yescharacteristic
378#126—22no—
379#126—22no—
380#126—22no—
381#126—22no—
382#125—21no—
383#125—21no—
384#125—21no—
385#125—21no—
386#124—21no—
387#124—21no—
388#124—21no—
389#124—21no—
390#123—22no—
391#123—22no—
392#123—22no—
393#123—22no—
394C22⋊Q8—21no—
395C22⋊Q8—21no—
396C22⋊Q8—21no—
397C22⋊Q8—21no—
398#121—21no—
399#121—21no—
400#121—21no—
401#121—21no—
402C4×Q8—21no—
403C4×Q8—21no—
404C4×Q8—21no—
405C4×Q8—21no—
406C4×D4—22no—
407C4×D4—22no—
408C4×D4—22no—
409C4×D4—22no—
410C4×D4—21no—
411C4×D4—21no—
412C4×D4—21no—
413C4×D4—21no—
414#117—22no—
415#117—22no—
416#117—22no—
417#117—22no—
418#117—1884no—
419C2×C4⋊C4—942no—
420C2×C4⋊C4—942no—
421C2×C4⋊C4—942no—
422C2×C4⋊C4—942no—
423C2×C4⋊C4C2×Dic4712yes—
424C2×C4⋊C4C2×Dic4712yes—
425C2×C4⋊C4C2×Dic4711yescharacteristic
426C2×C4⋊C4C2×Dic4712yes—
427C2×C4⋊C4C2×Dic4711yescharacteristic
428C2×C4⋊C4C2×Dic4712yes—
429C2×C22⋊C4—474no—
430C2×C22⋊C4—474no—
431C2×C22⋊C4C2×Dic4712yes—
432C2×C22⋊C4C2×Dic4712yes—
433C2×C22⋊C4C2×Dic4712yes—
434C2×C22⋊C4C2×Dic4712yes—
435C2×C22⋊C4C22×D4712yes—
436C2×C42—942no—
437C2×C42—942no—
438C2×C42C2×Dic4712yes—
439C2×C42C2×Dic4711yescharacteristic
440C2×C42C2×Dic4711yescharacteristic
441C2×C42C2×Dic4711yescharacteristic
442C2×C42C2×Dic4711yescharacteristic
443C2×C42C22⋊D4711yescharacteristic
444C2×C42C22⋊D4711yescharacteristic
445C2×C42C22⋊D4711yescharacteristic
446C2×C42C22⋊D4711yescharacteristic
447C2×C42C22⋊D4711yescharacteristic
448C2×C42C22⋊D4711yescharacteristic
449C2×C42C22⋊D4711yescharacteristic
450C2×C42C22⋊D4711yescharacteristic
451#99—1888no—
452#95—942no—
453#95—942no—
454#95—942no—
455#95—942no—
456#95—942no—
457#95—942no—
458C24C22×Dic4712yes—
459C24C23×D4711yescharacteristic
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—42no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—24no—
466C2×D4—24no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—42no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—44no—
477C22×C4—944no—
478C22×C4—944no—
479C22×C4C22×Dic4712yes—
480C22×C4C22×Dic4711yescharacteristic
481C22×C4C22×Dic4711yescharacteristic
482C22×C4C22×Dic4711yescharacteristic
483C22×C4C22×Dic4711yescharacteristic
484C22×C4C22×Dic4712yes—
485C22×C4C22×Dic4712yes—
486C22×C4C22×Dic4711yescharacteristic
487C22×C4C22×Dic4711yescharacteristic
488C22×C4C2×C22⋊D4711yescharacteristic
489C22×C4C2×C22⋊D4711yescharacteristic
490C22×C4C2×C22⋊D4711yescharacteristic
491C22×C4C2×C22⋊D4711yescharacteristic
492C22×C4C2×C22⋊D4711yescharacteristic
493C22×C4C2×C22⋊D4711yescharacteristic
494C22×C4C2×C22⋊D4711yescharacteristic
495C22×C4C2×C22⋊D4711yescharacteristic
496C22×C4C2×C22⋊D4711yescharacteristic
497C22×C4C2×C22⋊D4711yescharacteristic
498C22×C4C2×C22⋊D4711yescharacteristic
499C22×C4C2×C22⋊D4711yescharacteristic
500C4⋊C4—22no—
501C4⋊C4—22no—
502C4⋊C4—22no—
503C4⋊C4—22no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—22no—
507C4⋊C4—22no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—22no—
511C4⋊C4—22no—
512C4⋊C4—1884no—
513C4⋊C4—1884no—
514C4⋊C4—1884no—
515C4⋊C4—1884no—
516C22⋊C4—22no—
517C22⋊C4—22no—
518C22⋊C4—22no—
519C22⋊C4—22no—
520C22⋊C4—22no—
521C22⋊C4—22no—
522C22⋊C4—22no—
523C22⋊C4—22no—
524C22⋊C4—22no—
525C22⋊C4—22no—
526C22⋊C4—944no—
527C22⋊C4—948no—
528C22⋊C4—944no—
529C42—22no—
530C42—22no—
531C42—1884no—
532C42—1884no—
533C42C22⋊Dic4711yescharacteristic
534C42C22⋊Dic4711yescharacteristic
535C42C22⋊Dic4711yescharacteristic
536C42C22⋊Dic4711yescharacteristic
537C42C22⋊Dic4711yescharacteristic
538C42C22⋊Dic4711yescharacteristic
539C42C22⋊Dic4711yescharacteristic
540C42C22⋊Dic4711yescharacteristic
541C42C22⋊Dic4711yescharacteristic
542C42C22⋊Dic4711yescharacteristic
543C42C22⋊Dic4711yescharacteristic
544C42C22⋊Dic4711yescharacteristic
545C42C22⋊Dic4711yescharacteristic
546C42C22⋊Dic4711yescharacteristic
547C42C22⋊Dic4711yescharacteristic
548C42C22⋊Dic4711yescharacteristic
549C23—22no—
550C23—24no—
551C23—41no—
552C23—41no—
553C23—42no—
554C23—42no—
555C23C23×Dic4711yescharacteristic
556C23C22×C22⋊D4711yescharacteristic
557C23C22×C22⋊D4711yescharacteristic
558C23#1309407012yes—
559C23#1309407112yes—
560Q8—42no—
561Q8—42no—
562D4—42no—
563D4—42no—
564D4—42no—
565D4—44no—
566D4—42no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—24no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—44no—
592C2×C4—44no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—1884no—
596C2×C4—1884no—
597C2×C4—1884no—
598C2×C4—1884no—
599C2×C4—1884no—
600C2×C4—1884no—
601C2×C4C2×C22⋊Dic4711yescharacteristic
602C2×C4C2×C22⋊Dic4711yescharacteristic
603C2×C4C2×C22⋊Dic4711yescharacteristic
604C2×C4C2×C22⋊Dic4711yescharacteristic
605C2×C4C2×C22⋊Dic4711yescharacteristic
606C2×C4C2×C22⋊Dic4711yescharacteristic
607C2×C4C2×C22⋊Dic4711yescharacteristic
608C2×C4C2×C22⋊Dic4711yescharacteristic
609C2×C4C2×C22⋊Dic4711yescharacteristic
610C2×C4C2×C22⋊Dic4711yescharacteristic
611C2×C4C2×C22⋊Dic4711yescharacteristic
612C2×C4C2×C22⋊Dic4711yescharacteristic
613C22—21no—
614C22—21no—
615C22—21no—
616C22—21no—
617C22—21no—
618C22—21no—
619C22—42no—
620C22—42no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—84no—
625C22C22×C22⋊Dic4711yescharacteristic
626C22#1568960612yes—
627C22#1568968711yescharacteristic
628C22#1568969411yescharacteristic
629C22#1568970112yes—
630C4—21no—
631C4—21no—
632C4—21no—
633C4—21no—
634C4—21no—
635C4—21no—
636C4—21no—
637C4—21no—
638C4—21no—
639C4—21no—
640C4—42no—
641C4—42no—
642C4—42no—
643C4—3764no—
644C4—3764no—
645C4#1568909712yes—
646C4#1568909712yes—
647C2—21no—
648C2—22no—
649C2—22no—
650C2—21no—
651C2—82no—
652C2#2024598011yescharacteristic
653C2C2×#1568909711yescharacteristic
654C2C2×#1568909711yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic47
commutatorC23×C47C23×C4
FrattiniC24C23×D47
FittingC2×C47×#529C2
socleC22×C47C22×C22⋊C4
prime radicalC2×#121×C47C22
cosocleC24×C47C24
hypercenterC2×#529D47
hypocenterC47#21875
LCSG ▷ C23×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C22×C42 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #20245795C2semidirect
2. #20245786C2semidirect
3. #20244374C2semidirect
5. #20243847C2semidirect
6. #20243376C2semidirect
32. C2×#126×C47C4semidirect
33. C2×#125×C47C4semidirect
34. C2×#124×C47C4semidirect
38. C2×C4×Q8×C47C4semidirect
39. C2×C4×D4×C47C4semidirect
41. C2×#117×C47C4semidirect
343. C2×#126Dic47semidirect
344. C2×#125Dic47semidirect
345. C2×#124Dic47semidirect
349. C2×C4×Q8Dic47semidirect
350. C2×C4×D4Dic47semidirect
353. C2×#117Dic47semidirect
370. C47#21875semidirect

Maximal subgroups

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

subgroupindex
#202457952
#202457862
#202443742
#202442252
#202438472
#202433762
C2×C47×#5292
#2187547