Finite Group Databasebeta

← #26223315

Subgroups — #26223315

Order 12032.

906 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C8×D188C211yesmaximal, characteristic
2C2×#15689077C211yesmaximal, characteristic, complemented
3#20246651C211yesmaximal, characteristic
4#20244000C211yesmaximal, characteristic, complemented
5#20243999C211yesmaximal, characteristic, complemented
6#20243955C211yesmaximal, characteristic, complemented
7#20243954C211yesmaximal, characteristic, complemented
8#20243684C211yesmaximal, characteristic
9#20243569C211yesmaximal, characteristic, complemented
10#20243458C211yesmaximal, characteristic, complemented
11C8×Dic47⋊C4C211yesmaximal, characteristic, complemented
12C8×(C2×D47)⋊C4C211yesmaximal, characteristic, complemented
13C8×(C2×D47)⋊C4C211yesmaximal, characteristic, complemented
14C8×(C2×D47)⋊C4C211yesmaximal, characteristic, complemented
15C8×C4⋊C4×C47C211yesmaximal, characteristic, complemented
16C22×#10625324C2211yescharacteristic
17C22×C8×D47C2211yescharacteristic
18C22×C8×D47C2211yescharacteristic
19C2×C4×D188C2211yescharacteristic
20C2×#13093981C2211yescharacteristic
21C8×D188—24no—
22C2×C4⋊(C47⋊C8)C2211yescharacteristic
23C2×Dic47⋊C8C2211yescharacteristic
24C2×(C2×D47)⋊C8C2211yescharacteristic
25C2×(C2×D47)⋊C8C2211yescharacteristic
26C2×(C2×D47)⋊C8C2211yescharacteristic
27C2×(C2×D47)⋊C8C2211yescharacteristic
28C2×(C2×D47)⋊C8C2211yescharacteristic
29#15689077—24no—
30C2×#13093935C2211yescharacteristic
31C2×#13093934C2211yescharacteristic
32C2×C8×Dic47C2211yescharacteristic
33C2×C8×Dic47C2211yescharacteristic
34#15689065C411yescharacteristic
35#15689058C411yescharacteristic
36#15689056C411yescharacteristic
37#15689052C411yescharacteristic
38#15689052C411yescharacteristic
39#15689049C411yescharacteristic
40#15689041C411yescharacteristic
41#15689040C411yescharacteristic
42C4×Dic47⋊C4C2211yescharacteristic
43C4×(C2×D47)⋊C4C2211yescharacteristic
44C4×(C2×D47)⋊C4C2211yescharacteristic
45C4×(C2×D47)⋊C4C2211yescharacteristic
46#15688878C2211yescharacteristic
47#15688878C2211yescharacteristic
48#15688878C2211yescharacteristic
49#15688878C2211yescharacteristic
50#15688877C2211yescharacteristic
51#15688877C2211yescharacteristic
52#15688877C2211yescharacteristic
53#15688877C2211yescharacteristic
54C2×C4⋊C8×C47C2211yescharacteristic
55C2×C4×C8×C47C2211yescharacteristic
56C2×C4×C8×C47C2211yescharacteristic
57C2×C4×C8×C47C2211yescharacteristic
58C4×C4⋊C4×C47C2211yescharacteristic
59C47×#336C2211yescharacteristic
60C47×#336C2211yescharacteristic
61C22×D188C2×C411yescharacteristic
62C22×C4×D47C2311yescharacteristic
63C22×C4×D47C2311yescharacteristic
64C2×#10625324—22no—
65C2×#10625324—22no—
66C2×#10625324—22no—
67C22×C47⋊C8C2311yescharacteristic
68C22×C47⋊C8C2311yescharacteristic
69C22×C47⋊C8C2311yescharacteristic
70C22×C47⋊C8C2311yescharacteristic
71C2×C8×D47—22no—
72C2×C8×D47—22no—
73C2×C8×D47—22no—
74C2×C8×D47—22no—
75C2×C8×D47—22no—
76C2×C8×D47D414yes—
77C4×D188—22no—
78C4×D188—22no—
79#13093981—22no—
80#13093981—22no—
81C2×C4⋊Dic47C2×C411yescharacteristic
82C2×Dic47⋊C4C2×C411yescharacteristic
83C2×Dic47⋊C4C2×C411yescharacteristic
84C2×Dic47⋊C4C2×C411yescharacteristic
85C2×Dic47⋊C4C2×C411yescharacteristic
86C2×(C2×D47)⋊C4C2×C411yescharacteristic
87C2×(C2×D47)⋊C4C2×C411yescharacteristic
88C2×(C2×D47)⋊C4C2×C411yescharacteristic
89C2×(C2×D47)⋊C4C2×C411yescharacteristic
90C2×(C2×D47)⋊C4C2×C411yescharacteristic
91C2×(C2×D47)⋊C4C2×C411yescharacteristic
92C2×(C2×D47)⋊C4C2×C411yescharacteristic
93C2×(C2×D47)⋊C4C2×C411yescharacteristic
94C2×(C2×D47)⋊C4C2×C411yescharacteristic
95C2×(C2×D47)⋊C4C2×C411yescharacteristic
96C2×C4×Dic47C2311yescharacteristic
97C2×C4×Dic47C2311yescharacteristic
98C4⋊(C47⋊C8)—22no—
99Dic47⋊C8—22no—
100(C2×D47)⋊C8—22no—
101(C2×D47)⋊C8—22no—
102(C2×D47)⋊C8—22no—
103(C2×D47)⋊C8—22no—
104(C2×D47)⋊C8—22no—
105#13093935—22no—
106#13093934—22no—
107C8×Dic47—22no—
108C8×Dic47—22no—
109C47⋊#95C2×C411yescharacteristic
110C47⋊#95C2×C411yescharacteristic
111C47⋊#95C2×C411yescharacteristic
112C47⋊#95C2×C411yescharacteristic
113C47⋊#95C2×C411yescharacteristic
114C47⋊#95C2×C411yescharacteristic
115C47⋊#95C2×C411yescharacteristic
116C47⋊#95C2×C411yescharacteristic
117C22×C8×C47C2311yescharacteristic
118C22×C8×C47C2311yescharacteristic
119C22×C8×C47C2311yescharacteristic
120C22×C8×C47C2311yescharacteristic
121C2×C4⋊C4×C47C2×C411yescharacteristic
122C2×C4⋊C4×C47C2×C411yescharacteristic
123C2×C42×C47C2311yescharacteristic
124C2×C42×C47C2311yescharacteristic
125C2×C42×C47C2311yescharacteristic
126C4⋊C8×C47—22no—
127C4×C8×C47—22no—
128C4×C8×C47—22no—
129C4×C8×C47—22no—
130#95×C47C2×C411yescharacteristic
131#95×C47C2×C411yescharacteristic
132C23×D47C22×C411yescharacteristic
133C23×D47C22×C411yescharacteristic
134C22×C4×C47C22×C411yescharacteristic
135C22×C4×C47C22×C411yescharacteristic
136C22×C4×C47C22×C411yescharacteristic
137C22×C4×C47C22×C411yescharacteristic
138C22×C4×C47C22×C411yescharacteristic
139C22×C4×C47C22×C411yescharacteristic
140C22×C4×C47C2411yescharacteristic
141C22×Dic47C22×C411yescharacteristic
142C22×Dic47C22×C411yescharacteristic
143C22×Dic47C22×C411yescharacteristic
144C22×Dic47C22×C411yescharacteristic
145C22×Dic47C22×C411yescharacteristic
146C22×Dic47C22×C411yescharacteristic
147C2×D188—22no—
148C2×D188—22no—
149C2×D188—22no—
150C2×C4×D47—21no—
151C2×C4×D47—21no—
152C2×C4×D47—21no—
153C2×C4×D47—21no—
154C2×C4×D47—21no—
155C2×C4×D47—21no—
156C2×C4×D47—21no—
157C2×C4×D47—21no—
158C2×C4×D47—21no—
159C2×C4×D47—21no—
160C2×C4×D47C2×D412yes—
161C2×C4×D47#4112yes—
162C2×C8×C47—21no—
163C2×C8×C47—21no—
164C2×C8×C47—21no—
165C2×C8×C47—21no—
166C2×C8×C47—21no—
167C2×C8×C47—21no—
168C2×C8×C47—21no—
169C2×C8×C47—21no—
170C2×C8×C47C2×D412yes—
171C2×C8×C47#4112yes—
172C2×C8×C47#4112yes—
173C2×C8×C47#4112yes—
174C4⋊C4×C47—22no—
175C4⋊C4×C47—22no—
176C42×C47—21no—
177C42×C47—21no—
178C42×C47—21no—
179C42×C47—21no—
180C42×C47—21no—
181C42×C47—21no—
182(C2×D47)⋊C4—22no—
183(C2×D47)⋊C4—22no—
184(C2×D47)⋊C4—22no—
185(C2×D47)⋊C4—22no—
186(C2×D47)⋊C4—22no—
187(C2×D47)⋊C4—22no—
188(C2×D47)⋊C4—22no—
189(C2×D47)⋊C4—22no—
190(C2×D47)⋊C4—22no—
191(C2×D47)⋊C4—22no—
192C4⋊Dic47—22no—
193Dic47⋊C4—22no—
194Dic47⋊C4—22no—
195Dic47⋊C4—22no—
196Dic47⋊C4—22no—
197C4×Dic47—21no—
198C4×Dic47—21no—
199C4×Dic47—21no—
200C4×Dic47—21no—
201C2×C47⋊C8—21no—
202C2×C47⋊C8—21no—
203C2×C47⋊C8—21no—
204C2×C47⋊C8—21no—
205C2×C47⋊C8—21no—
206C2×C47⋊C8—21no—
207C2×C47⋊C8—21no—
208C2×C47⋊C8—21no—
209C2×C47⋊C8—21no—
210C2×C47⋊C8—21no—
211C2×C47⋊C8C2×D412yes—
212C2×C47⋊C8#4112yes—
213#10625324—28no—
214C8×D47—28no—
215C8×D47—44no—
216C23×C47C23×C411yescharacteristic
217C22×D47—21no—
218C22×D47—21no—
219C22×D47—21no—
220C22×D47—21no—
221C22×D47—21no—
222C22×D47—21no—
223C22×D47—21no—
224C22×D47—21no—
225C22×D47—21no—
226C22×D47—21no—
227C22×D47—21no—
228C22×D47—21no—
229C22×D47C4×D412yes—
230C22×D47#13112yes—
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#13112yes—
248C2×C4×C47#13112yes—
249C2×C4×C47C22×D411yescharacteristic
250C2×C4×C47C2×#4111yescharacteristic
251C2×C4×C47C2×#4111yescharacteristic
252C2×C4×C47C2×#4111yescharacteristic
253C2×C4×C47C2×#4111yescharacteristic
254C2×C4×C47C2×#4111yescharacteristic
255C2×Dic47—21no—
256C2×Dic47—21no—
257C2×Dic47—21no—
258C2×Dic47—21no—
259C2×Dic47—21no—
260C2×Dic47—21no—
261C2×Dic47—21no—
262C2×Dic47—21no—
263C2×Dic47—21no—
264C2×Dic47—21no—
265C2×Dic47—21no—
266C2×Dic47—21no—
267C2×Dic47—21no—
268C2×Dic47—21no—
269C2×Dic47—21no—
270C2×Dic47—21no—
271C2×Dic47C4×D412yes—
272C2×Dic47#13112yes—
273D188—28no—
274C4×D47—22no—
275C4×D47—22no—
276C4×D47—22no—
277C4×D47—22no—
278C4×D47—41no—
279C4×D47—41no—
280C4×D47—41no—
281C4×D47—41no—
282C8×C47—22no—
283C8×C47—41no—
284C8×C47—41no—
285C8×C47#12314yes—
286C47⋊C8—22no—
287C47⋊C8—22no—
288C47⋊C8—41no—
289C47⋊C8—41no—
290#21566—471nomaximal, Sylow
291C22×C47C2×C4×D411yescharacteristic
292C22×C47C4×#4111yescharacteristic
293C22×C47C4×#4111yescharacteristic
294C22×C47C2×#13111yescharacteristic
295C22×C47C2×#13111yescharacteristic
296C22×C47C2×#13111yescharacteristic
297C22×C47C2×#13111yescharacteristic
298C2×D47—22no—
299C2×D47—22no—
300C2×D47—22no—
301C2×D47—22no—
302C2×D47—22no—
303C2×D47—22no—
304C2×D47—41no—
305C2×D47—41no—
306C2×D47—41no—
307C2×D47—41no—
308C2×D47—41no—
309C2×D47—41no—
310C2×D47—41no—
311C2×D47—41no—
312C4×C47—22no—
313C4×C47—22no—
314C4×C47—41no—
315C4×C47—41no—
316C4×C47—41no—
317C4×C47—41no—
318C4×C47C2×#12311yescharacteristic
319C4×C47#52511yescharacteristic
320C4×C47#52911yescharacteristic
321C4×C47#52911yescharacteristic
322Dic47—22no—
323Dic47—22no—
324Dic47—41no—
325Dic47—41no—
326Dic47—41no—
327Dic47—41no—
328C2×C8×D4—471no—
329C2×#405—471no—
330#2395—471no—
331#1924—471no—
332#1924—471no—
333#1917—471no—
334#1917—471no—
335#1870—471no—
336#1851—471no—
337#1818—471no—
338C8×C4⋊C4—471no—
339C8×C4⋊C4D4711yescharacteristic, complemented
340C8×C22⋊C4—471no—
341C8×C22⋊C4—471no—
342C8×C22⋊C4—471no—
343C2×C47C4×#12311yescharacteristic
344C2×C47#292911yescharacteristic
345C2×C47#293111yescharacteristic
346C2×C47#296611yescharacteristic
347C2×C47#296611yescharacteristic
348C2×C47#296611yescharacteristic
349C2×C47#296611yescharacteristic
350D47—42no—
351D47—42no—
352C22×M16—471no—
353C23×C8—471no—
354C23×C8—471no—
355C2×C4×D4—471no—
356C2×#117—471no—
357C8×D4—944no—
358C2×C4⋊C8—471no—
359C2×C4⋊C8—471no—
360C2×C4⋊C8C2×D4711yescharacteristic
361C2×C22⋊C8—471no—
362C2×C22⋊C8—471no—
363C2×C22⋊C8—471no—
364C2×C22⋊C8—471no—
365C2×C22⋊C8—471no—
366#405—944no—
367C2×#97—471no—
368C2×#97—471no—
369C2×C4×C8—471no—
370C2×C4×C8—471no—
371C2×C4×C8C2×D4711yescharacteristic
372C2×C4×C8C2×D4711yescharacteristic
373C2×C4×C8C2×D4711yescharacteristic
374#400—471no—
375#399—471no—
376#398—471no—
377#397—471no—
378#397—471no—
379#397—471no—
380#394—471no—
381#394—471no—
382C4×C4⋊C4—471no—
383C4×C4⋊C4C2×D4711yescharacteristic
384C4×C22⋊C4—471no—
385C4×C22⋊C4—471no—
386C4×C22⋊C4—471no—
387#336—471no—
388#336—471no—
389#336—471no—
390#336—471no—
391#336—471no—
392#336—471no—
393#336—471no—
394#336—471no—
395#336C2×D4711yescharacteristic
396#336C2×D4711yescharacteristic
397C47#2156611yescharacteristic, complemented, Sylow
398C22×D4—471no—
399C23×C4—471no—
400C23×C4—471no—
401C2×M16—942no—
402C2×M16—942no—
403C2×M16—942no—
404C22×C8—471no—
405C22×C8—471no—
406C22×C8—474no—
407C22×C8—471no—
408C22×C8—471no—
409C22×C8—942no—
410C22×C8—942no—
411C22×C8—942no—
412C22×C8—942no—
413C22×C8—942no—
414C22×C8C22×D4711yescharacteristic
415C22×C8C22×D4711yescharacteristic
416C22×C8C22×D4711yescharacteristic
417C22×C8C22×D4711yescharacteristic
418C4×D4—942no—
419C4×D4—942no—
420#117—942no—
421#117—942no—
422C2×C4⋊C4—471no—
423C2×C4⋊C4—471no—
424C2×C4⋊C4—471no—
425C2×C4⋊C4—471no—
426C2×C4⋊C4—471no—
427C2×C4⋊C4C4×D4711yescharacteristic
428C2×C4⋊C4C4×D4711yescharacteristic
429C2×C22⋊C4—471no—
430C2×C22⋊C4—471no—
431C2×C22⋊C4—471no—
432C2×C22⋊C4—471no—
433C2×C22⋊C4—471no—
434C2×C22⋊C4—471no—
435C2×C22⋊C4—471no—
436C2×C22⋊C4—471no—
437C2×C22⋊C4—471no—
438C2×C22⋊C4—471no—
439C2×C42—471no—
440C2×C42—471no—
441C2×C42C22×D4711yescharacteristic
442C2×C42C22×D4711yescharacteristic
443C2×C42C22×D4711yescharacteristic
444C4⋊C8—22no—
445C4⋊C8—942no—
446C4⋊C8—942no—
447C22⋊C8—942no—
448C22⋊C8—942no—
449C22⋊C8—942no—
450C22⋊C8—942no—
451C22⋊C8—942no—
452#97—942no—
453#97—942no—
454C4×C8—22no—
455C4×C8—22no—
456C4×C8—22no—
457C4×C8—942no—
458C4×C8—942no—
459#95—471no—
460#95—471no—
461#95—471no—
462#95—471no—
463#95—471no—
464#95—471no—
465#95—471no—
466#95—471no—
467#95C4×D4711yescharacteristic
468#95C4×D4711yescharacteristic
469C24—471no—
470C24—471no—
471C2×D4—942no—
472C2×D4—942no—
473C2×D4—942no—
474C22×C4—471no—
475C22×C4—471no—
476C22×C4—472no—
477C22×C4—472no—
478C22×C4—471no—
479C22×C4—471no—
480C22×C4—471no—
481C22×C4—471no—
482C22×C4—941no—
483C22×C4—941no—
484C22×C4—941no—
485C22×C4—941no—
486C22×C4—941no—
487C22×C4—941no—
488C22×C4—941no—
489C22×C4—941no—
490C22×C4—941no—
491C22×C4—941no—
492C22×C4C2×C4×D4711yescharacteristic
493C22×C4C2×C4×D4711yescharacteristic
494C22×C4C2×C4×D4711yescharacteristic
495C22×C4C2×C4×D4711yescharacteristic
496C22×C4C2×C4×D4711yescharacteristic
497C22×C4C2×C4×D4711yescharacteristic
498C22×C4C23×D4711yescharacteristic
499M16—948no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—472no—
509C2×C8—472no—
510C2×C8—941no—
511C2×C8—941no—
512C2×C8—941no—
513C2×C8—941no—
514C2×C8—948no—
515C2×C8—941no—
516C2×C8—941no—
517C2×C8—941no—
518C2×C8—941no—
519C2×C8—941no—
520C2×C8—941no—
521C2×C8—1884no—
522C2×C8#1062535012yes—
523C2×C8#1062535012yes—
524C2×C8D4×D4712yes—
525C2×C8#1062535412yes—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—942no—
529C4⋊C4—942no—
530C4⋊C4—942no—
531C4⋊C4—942no—
532C4⋊C4—942no—
533C22⋊C4—942no—
534C22⋊C4—942no—
535C22⋊C4—942no—
536C22⋊C4—942no—
537C22⋊C4—942no—
538C22⋊C4—942no—
539C22⋊C4—942no—
540C22⋊C4—942no—
541C22⋊C4—942no—
542C22⋊C4—942no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—941no—
550C42—941no—
551C42—941no—
552C42—941no—
553C23—472no—
554C23—472no—
555C23—941no—
556C23—941no—
557C23—941no—
558C23—941no—
559C23—941no—
560C23—941no—
561C23—941no—
562C23—941no—
563C23—941no—
564C23—941no—
565C23—941no—
566C23—941no—
567C23C22×C4×D4711yescharacteristic
568D4—948no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—472no—
586C2×C4—472no—
587C2×C4—941no—
588C2×C4—941no—
589C2×C4—941no—
590C2×C4—941no—
591C2×C4—942no—
592C2×C4—942no—
593C2×C4—942no—
594C2×C4—942no—
595C2×C4—941no—
596C2×C4—941no—
597C2×C4—941no—
598C2×C4—941no—
599C2×C4—941no—
600C2×C4—941no—
601C2×C4—941no—
602C2×C4—941no—
603C2×C4—941no—
604C2×C4—941no—
605C2×C4—941no—
606C2×C4—941no—
607C2×C4—1881no—
608C2×C4—1881no—
609C2×C4—1881no—
610C2×C4—1881no—
611C2×C4#1309403012yes—
612C2×C4#1309403012yes—
613C2×C4C2×D4×D4711yescharacteristic
614C2×C4#41×D4711yescharacteristic
615C2×C4#41×D4711yescharacteristic
616C2×C4C2×#1062535011yescharacteristic
617C2×C4C2×#1062535011yescharacteristic
618C2×C4C2×#1062535411yescharacteristic
619C8—22no—
620C8—41no—
621C8—41no—
622C8—942no—
623C8—942no—
624C8—1881no—
625C8—1881no—
626C8#1309400914yes—
627C22—942no—
628C22—942no—
629C22—942no—
630C22—942no—
631C22—942no—
632C22—942no—
633C22—1881no—
634C22—1881no—
635C22—1881no—
636C22—1881no—
637C22—1881no—
638C22—1881no—
639C22—1881no—
640C22—1881no—
641C22C4×D4×D4711yescharacteristic
642C22C4×#1062535011yescharacteristic
643C22C4×#1062535411yescharacteristic
644C22#131×D4711yescharacteristic
645C22#131×D4711yescharacteristic
646C22C2×#1309403011yescharacteristic
647C22C2×#1309403011yescharacteristic
648C4—22no—
649C4—22no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—41no—
654C4—942no—
655C4—942no—
656C4—1881no—
657C4—1881no—
658C4—1881no—
659C4—1881no—
660C4C2×#1309400911yescharacteristic
661C4#1568963211yescharacteristic
662C4#1568965111yescharacteristic
663C4#1568966011yescharacteristic
664C2—1882no—
665C2—1882no—
666C2C4×#1309400911yescharacteristic
667C2#2025207711yescharacteristic
668C2#2025209511yescharacteristic
669C2#2025235911yescharacteristic
670C2#2025236311yescharacteristic
671C2#2025236511yescharacteristic
672C2#2025236511yescharacteristic
subgroupG/H
centerC22×C8C22×D47
commutator, socleC23×C47C23×C4
FrattiniC22×C4C23×D47
FittingC8×C4⋊C4×C47C2
prime radicalC22×D188C2×C4
cosocleC22×C4×C47C24
hypercenterC8×C4⋊C4D47
hypocenterC47#21566
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C8 ◁ C8×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#15689077C2semidirect
4. #20244000C2semidirect
5. #20243999C2semidirect
6. #20243955C2semidirect
7. #20243954C2semidirect
9. #20243569C2semidirect
10. #20243458C2semidirect
11. C8×Dic47⋊C4C2semidirect
12. C8×(C2×D47)⋊C4C2semidirect
13. C8×(C2×D47)⋊C4C2semidirect
14. C8×(C2×D47)⋊C4C2semidirect
15. C8×C4⋊C4×C47C2semidirect
339. C8×C4⋊C4D47semidirect
397. C47#21566semidirect

Maximal subgroups

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

subgroupindex
C2×C8×D1882
C2×#156890772
#202466512
#202440002
#202439992
#202439552
#202439542
#202436842
#202435692
#202434582
C8×Dic47⋊C42
C8×(C2×D47)⋊C42
C8×C4⋊C4×C472
#2156647