Finite Group Databasebeta

← C47×#34951 #26074649

Subgroups — C47×#34951 #26074649

Order 12032.

1692 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2585C214yesmaximal
2C47×#2582C211yesmaximal, characteristic
3C47×#2568C211yesmaximal, characteristic
4C47×#2552C211yesmaximal, characteristic
5C47×#2546C211yesmaximal, characteristic
6C47×#2511C212yesmaximal
7C47×#2509C212yesmaximal
8C47×#2453C212yesmaximal
9C47×#2446C212yesmaximal
10C47×#2402C214yesmaximal
11C4×C4⋊Q8×C47C212yesmaximal
12C4×C4⋊Q8×C47C211yesmaximal, characteristic
13C4×#125×C47C212yesmaximal
14C47×#2295C212yesmaximal
15C47×#2295C212yesmaximal
16C42×Q8×C47C211yesmaximal, characteristic
17C42×Q8×C47C211yesmaximal, characteristic
18C2×C4⋊Q8×C47C2211yescharacteristic
19C2×C4⋊Q8×C47C2212yes—
20C2×#125×C47C2212yes—
21C2×C4×Q8×C47C2211yescharacteristic
22C2×C4×Q8×C47C2211yescharacteristic
23C2×C4×Q8×C47C2211yescharacteristic
24C2×C4×Q8×C47C2211yescharacteristic
25C2×C4×Q8×C47C2211yescharacteristic
26C2×C4×Q8×C47C2212yes—
27C2×C4×Q8×C47C2211yescharacteristic
28C47×#400C2214yes—
29C47×#400C2214yes—
30C47×#400C2214yes—
31C47×#400C2214yes—
32C47×#398C2214yes—
33C47×#398C2214yes—
34C47×#398C2214yes—
35C47×#398C2214yes—
36C47×#391C2212yes—
37C47×#391C2212yes—
38C47×#391C2212yes—
39C47×#391C2212yes—
40C47×#391C2212yes—
41C47×#391C2212yes—
42C47×#391C2212yes—
43C47×#389C2212yes—
44C47×#389C2212yes—
45C47×#389C2212yes—
46C47×#389C2212yes—
47C47×#389C2212yes—
48C47×#389C2212yes—
49C47×#389C2212yes—
50C47×#389C2214yes—
51C47×#389C2214yes—
52C47×#389C2212yes—
53C47×#387C2214yes—
54C47×#387C2214yes—
55C47×#387C2214yes—
56C47×#387C2214yes—
57C47×#387C2214yes—
58C47×#387C2214yes—
59C47×#384C2211yescharacteristic
60C47×#384C2212yes—
61C47×#382C2212yes—
62C4×C4⋊C4×C47C2211yescharacteristic
63C4×C4⋊C4×C47C2211yescharacteristic
64C4×C4⋊C4×C47C2211yescharacteristic
65C4×C4⋊C4×C47C2211yescharacteristic
66C4×C4⋊C4×C47C2212yes—
67C4×C4⋊C4×C47C2212yes—
68C4×C4⋊C4×C47C2212yes—
69C4×C4⋊C4×C47C2212yes—
70C4×C4⋊C4×C47C2212yes—
71C4×C4⋊C4×C47C2212yes—
72C4×C4⋊C4×C47C2211yescharacteristic
73C4×C4⋊C4×C47C2211yescharacteristic
74C4×C4⋊C4×C47C2212yes—
75C4×C4⋊C4×C47C2214yes—
76C4×C4⋊C4×C47C2214yes—
77C4×C4⋊C4×C47C2214yes—
78C4×C4⋊C4×C47C2212yes—
79C47×#376C2214yes—
80C43×C47C2211yescharacteristic
81C43×C47C2212yes—
82C43×C47C2212yes—
83C22×Q8×C47C2312yes—
84C22×Q8×C47C2311yescharacteristic
85C22×Q8×C47C2311yescharacteristic
86C4⋊Q8×C47—28no—
87C4⋊Q8×C47—24no—
88#125×C47—28no—
89C4×Q8×C47—24no—
90C4×Q8×C47—24no—
91C4×Q8×C47—24no—
92C4×Q8×C47—28no—
93C4×Q8×C47—24no—
94C4×Q8×C47—24no—
95C4×Q8×C47Q818yescomplemented
96C2×C4⋊C4×C47C2311yescharacteristic
97C2×C4⋊C4×C47C2311yescharacteristic
98C2×C4⋊C4×C47C2312yes—
99C2×C4⋊C4×C47C2311yescharacteristic
100C2×C4⋊C4×C47C2311yescharacteristic
101C2×C4⋊C4×C47C2312yes—
102C2×C4⋊C4×C47C2312yes—
103C2×C4⋊C4×C47C2312yes—
104C2×C4⋊C4×C47C2312yes—
105C2×C4⋊C4×C47C2312yes—
106C2×C4⋊C4×C47C2314yes—
107C2×C4⋊C4×C47C2314yes—
108C2×C4⋊C4×C47C2312yes—
109C2×C4⋊C4×C47C2314yes—
110C2×C4⋊C4×C47C2312yes—
111C2×C4⋊C4×C47C2314yes—
112C2×C4⋊C4×C47C2314yes—
113C2×C4⋊C4×C47C2312yes—
114C2×C4⋊C4×C47C2314yes—
115C2×C4⋊C4×C47C2312yes—
116C2×C4⋊C4×C47C2314yes—
117C2×C4⋊C4×C47C2312yes—
118C2×C4⋊C4×C47C2311yescharacteristic
119C2×C4⋊C4×C47C2311yescharacteristic
120C2×C42×C47C2311yescharacteristic
121C2×C42×C47C2311yescharacteristic
122C2×C42×C47C2312yes—
123C2×C42×C47C2312yes—
124C2×C42×C47C2312yes—
125C2×C42×C47C2312yes—
126C2×C42×C47C2312yes—
127C2×C42×C47C2312yes—
128C2×C42×C47C2312yes—
129C2×C42×C47C2314yes—
130C2×C42×C47C2312yes—
131C2×C42×C47C2311yescharacteristic
132C2×C42×C47C2312yes—
133C2×C42×C47C2311yescharacteristic
134C2×C42×C47C2312yes—
135C2×C42×C47C2312yes—
136C2×C42×C47C2311yescharacteristic
137C2×C42×C47C2312yes—
138C2×C42×C47C2311yescharacteristic
139C2×C42×C47C2311yescharacteristic
140#95×C47C2314yes—
141#95×C47C2314yes—
142#95×C47C2314yes—
143#95×C47C2314yes—
144#95×C47C2312yes—
145#95×C47C2312yes—
146#95×C47C2312yes—
147#95×C47C2312yes—
148#95×C47C2312yes—
149#95×C47C2312yes—
150#95×C47C2314yes—
151#95×C47C2314yes—
152#95×C47C2314yes—
153#95×C47C2314yes—
154#95×C47C2314yes—
155#95×C47C2314yes—
156#95×C47C2314yes—
157#95×C47C2314yes—
158C2×Q8×C47—22no—
159C2×Q8×C47—22no—
160C2×Q8×C47—22no—
161C2×Q8×C47—22no—
162C2×Q8×C47—24no—
163C2×Q8×C47—24no—
164C2×Q8×C47—24no—
165C2×Q8×C47C2×Q814yes—
166C2×Q8×C47#4114yes—
167C22×C4×C47C2412yes—
168C22×C4×C47C2411yescharacteristic
169C22×C4×C47C2412yes—
170C22×C4×C47C2412yes—
171C22×C4×C47C2412yes—
172C22×C4×C47C2414yes—
173C22×C4×C47C2414yes—
174C22×C4×C47C2411yescharacteristic
175C22×C4×C47C2412yes—
176C22×C4×C47C2412yes—
177C22×C4×C47C2411yescharacteristic
178C22×C4×C47C2412yes—
179C22×C4×C47C2411yescharacteristic
180C22×C4×C47C2412yes—
181C22×C4×C47C2411yescharacteristic
182C22×C4×C47C2411yescharacteristic
183C22×C4×C47C2411yescharacteristic
184C4⋊C4×C47—24no—
185C4⋊C4×C47—24no—
186C4⋊C4×C47—24no—
187C4⋊C4×C47—24no—
188C4⋊C4×C47—24no—
189C4⋊C4×C47—22no—
190C4⋊C4×C47—22no—
191C4⋊C4×C47—22no—
192C4⋊C4×C47—24no—
193C4⋊C4×C47—22no—
194C4⋊C4×C47—28no—
195C4⋊C4×C47—28no—
196C4⋊C4×C47—28no—
197C4⋊C4×C47—24no—
198C4⋊C4×C47—28no—
199C4⋊C4×C47—28no—
200C4⋊C4×C47—24no—
201C4⋊C4×C47—24no—
202C4⋊C4×C47—44no—
203C4⋊C4×C47—42no—
204C4⋊C4×C47—44no—
205C4⋊C4×C47C2×Q818yes—
206C4⋊C4×C47C2×Q814yes—
207C4⋊C4×C47#4114yes—
208C42×C47—24no—
209C42×C47—24no—
210C42×C47—22no—
211C42×C47—22no—
212C42×C47—24no—
213C42×C47—24no—
214C42×C47—24no—
215C42×C47—28no—
216C42×C47—24no—
217C42×C47—24no—
218C42×C47—22no—
219C42×C47—24no—
220C42×C47—24no—
221C42×C47—41no—
222C42×C47—42no—
223C42×C47—42no—
224C42×C47C2×Q818yes—
225C42×C47C2×Q814yes—
226C42×C47#4114yes—
227C42×C47#4114yes—
228C23×C47C2511yescharacteristic
229Q8×C47—28no—
230Q8×C47—28no—
231Q8×C47—48no—
232C2×C4×C47—21no—
233C2×C4×C47—21no—
234C2×C4×C47—22no—
235C2×C4×C47—22no—
236C2×C4×C47—22no—
237C2×C4×C47—22no—
238C2×C4×C47—22no—
239C2×C4×C47—22no—
240C2×C4×C47—21no—
241C2×C4×C47—22no—
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—24no—
250C2×C4×C47—22no—
251C2×C4×C47—22no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—22no—
255C2×C4×C47—24no—
256C2×C4×C47—24no—
257C2×C4×C47—24no—
258C2×C4×C47—24no—
259C2×C4×C47—22no—
260C2×C4×C47—22no—
261C2×C4×C47—21no—
262C2×C4×C47—22no—
263C2×C4×C47—22no—
264C2×C4×C47—22no—
265C2×C4×C47—22no—
266C2×C4×C47—24no—
267C2×C4×C47C22×Q812yes—
268C2×C4×C47C22×Q814yes—
269C2×C4×C47C22×Q814yes—
270C2×C4×C47C22×Q812yes—
271C2×C4×C47C22×Q812yes—
272C2×C4×C47C2×#4114yes—
273C2×C4×C47C2×#4114yes—
274C2×C4×C47C2×#4112yes—
275C2×C4×C47C2×#4112yes—
276C2×C4×C47C2×#4112yes—
277C2×C4×C47C2×#4112yes—
278C2×C4×C47C2×#4112yes—
279C2×C4×C47C2×#4112yes—
280C2×C4×C47C2×#4112yes—
281C2×C4×C47C2×#4112yes—
282C2×C4×C472−1+412yes—
283#34951C4711yesmaximal, characteristic, direct product factor, Sylow
284C22×C47C23×Q811yescharacteristic
285C22×C47C22×#4111yescharacteristic
286C22×C47C22×#4111yescharacteristic
287C22×C47C22×#4111yescharacteristic
288C22×C47C22×#4111yescharacteristic
289C22×C47C2×2−1+411yescharacteristic
290C22×C47#58511yescharacteristic
291C4×C47—24no—
292C4×C47—24no—
293C4×C47—22no—
294C4×C47—22no—
295C4×C47—24no—
296C4×C47—22no—
297C4×C47—24no—
298C4×C47—44no—
299C4×C47—42no—
300C4×C47—42no—
301C4×C47—42no—
302C4×C47—44no—
303C4×C47—41no—
304C4×C47—42no—
305C4×C47#52914yes—
306C4×C47#53314yes—
307C4×C47#55714yes—
308#2585C2×C4714yes—
309#2582C2×C4711yescharacteristic
310#2568C2×C4711yescharacteristic
311#2552C2×C4711yescharacteristic
312#2546C2×C4711yescharacteristic
313#2511C2×C4712yes—
314#2509C2×C4712yes—
315#2453C2×C4712yes—
316#2446C2×C4712yes—
317#2402C2×C4714yes—
318C4×C4⋊Q8C2×C4712yes—
319C4×C4⋊Q8C2×C4711yescharacteristic
320C4×#125C2×C4712yes—
321#2295C2×C4712yes—
322#2295C2×C4712yes—
323C42×Q8C2×C4711yescharacteristic
324C42×Q8C2×C4711yescharacteristic
325C2×C47C2×#52911yescharacteristic
326C2×C47C2×#53311yescharacteristic
327C2×C47#346111yescharacteristic
328C2×C47C2×#55711yescharacteristic
329C2×C47Q8×#4111yescharacteristic
330C2×C47#348011yescharacteristic
331C2×C47#348211yescharacteristic
332C2×C4⋊Q8C22×C4711yescharacteristic
333C2×C4⋊Q8C22×C4712yes—
334C2×#125C22×C4712yes—
335C2×C4×Q8C22×C4711yescharacteristic
336C2×C4×Q8C22×C4712yes—
337C2×C4×Q8C22×C4711yescharacteristic
338C2×C4×Q8C22×C4711yescharacteristic
339C2×C4×Q8C22×C4711yescharacteristic
340C2×C4×Q8C22×C4711yescharacteristic
341C2×C4×Q8C22×C4711yescharacteristic
342#400C22×C4714yes—
343#400C22×C4714yes—
344#400C22×C4714yes—
345#400C22×C4714yes—
346#398C22×C4714yes—
347#398C22×C4714yes—
348#398C22×C4714yes—
349#398C22×C4714yes—
350#391C22×C4712yes—
351#391C22×C4712yes—
352#391C22×C4712yes—
353#391C22×C4712yes—
354#391C22×C4712yes—
355#391C22×C4712yes—
356#391C22×C4712yes—
357#389C22×C4712yes—
358#389C22×C4712yes—
359#389C22×C4712yes—
360#389C22×C4714yes—
361#389C22×C4714yes—
362#389C22×C4712yes—
363#389C22×C4712yes—
364#389C22×C4712yes—
365#389C22×C4712yes—
366#389C22×C4712yes—
367#387C22×C4714yes—
368#387C22×C4714yes—
369#387C22×C4714yes—
370#387C22×C4714yes—
371#387C22×C4714yes—
372#387C22×C4714yes—
373#384C22×C4711yescharacteristic
374#384C22×C4712yes—
375#382C22×C4712yes—
376C4×C4⋊C4C22×C4711yescharacteristic
377C4×C4⋊C4C22×C4714yes—
378C4×C4⋊C4C22×C4712yes—
379C4×C4⋊C4C22×C4714yes—
380C4×C4⋊C4C22×C4712yes—
381C4×C4⋊C4C22×C4714yes—
382C4×C4⋊C4C22×C4711yescharacteristic
383C4×C4⋊C4C22×C4712yes—
384C4×C4⋊C4C22×C4712yes—
385C4×C4⋊C4C22×C4712yes—
386C4×C4⋊C4C22×C4712yes—
387C4×C4⋊C4C22×C4712yes—
388C4×C4⋊C4C22×C4712yes—
389C4×C4⋊C4C22×C4711yescharacteristic
390C4×C4⋊C4C22×C4711yescharacteristic
391C4×C4⋊C4C22×C4711yescharacteristic
392C4×C4⋊C4C22×C4711yescharacteristic
393#376C22×C4714yes—
394C43C22×C4712yes—
395C43C22×C4711yescharacteristic
396C43C22×C4712yes—
397C47#3495111yescharacteristic, direct product factor, Sylow
398C22×Q8C23×C4712yes—
399C22×Q8C23×C4711yescharacteristic
400C22×Q8C23×C4711yescharacteristic
401C4⋊Q8—28no—
402C4⋊Q8—24no—
403#125—28no—
404C4×Q8—24no—
405C4×Q8—24no—
406C4×Q8—24no—
407C4×Q8—28no—
408C4×Q8—24no—
409C4×Q8—24no—
410C4×Q8Q8×C4718yescomplemented
411C2×C4⋊C4C23×C4711yescharacteristic
412C2×C4⋊C4C23×C4711yescharacteristic
413C2×C4⋊C4C23×C4712yes—
414C2×C4⋊C4C23×C4711yescharacteristic
415C2×C4⋊C4C23×C4711yescharacteristic
416C2×C4⋊C4C23×C4712yes—
417C2×C4⋊C4C23×C4712yes—
418C2×C4⋊C4C23×C4712yes—
419C2×C4⋊C4C23×C4712yes—
420C2×C4⋊C4C23×C4712yes—
421C2×C4⋊C4C23×C4714yes—
422C2×C4⋊C4C23×C4714yes—
423C2×C4⋊C4C23×C4712yes—
424C2×C4⋊C4C23×C4714yes—
425C2×C4⋊C4C23×C4712yes—
426C2×C4⋊C4C23×C4714yes—
427C2×C4⋊C4C23×C4714yes—
428C2×C4⋊C4C23×C4712yes—
429C2×C4⋊C4C23×C4714yes—
430C2×C4⋊C4C23×C4712yes—
431C2×C4⋊C4C23×C4714yes—
432C2×C4⋊C4C23×C4712yes—
433C2×C4⋊C4C23×C4711yescharacteristic
434C2×C4⋊C4C23×C4711yescharacteristic
435C2×C42C23×C4712yes—
436C2×C42C23×C4711yescharacteristic
437C2×C42C23×C4711yescharacteristic
438C2×C42C23×C4712yes—
439C2×C42C23×C4712yes—
440C2×C42C23×C4712yes—
441C2×C42C23×C4712yes—
442C2×C42C23×C4714yes—
443C2×C42C23×C4712yes—
444C2×C42C23×C4712yes—
445C2×C42C23×C4712yes—
446C2×C42C23×C4711yescharacteristic
447C2×C42C23×C4712yes—
448C2×C42C23×C4711yescharacteristic
449C2×C42C23×C4712yes—
450C2×C42C23×C4712yes—
451C2×C42C23×C4711yescharacteristic
452C2×C42C23×C4712yes—
453C2×C42C23×C4711yescharacteristic
454C2×C42C23×C4711yescharacteristic
455#95C23×C4714yes—
456#95C23×C4714yes—
457#95C23×C4714yes—
458#95C23×C4714yes—
459#95C23×C4712yes—
460#95C23×C4712yes—
461#95C23×C4712yes—
462#95C23×C4712yes—
463#95C23×C4712yes—
464#95C23×C4712yes—
465#95C23×C4714yes—
466#95C23×C4714yes—
467#95C23×C4714yes—
468#95C23×C4714yes—
469#95C23×C4714yes—
470#95C23×C4714yes—
471#95C23×C4714yes—
472#95C23×C4714yes—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—24no—
478C2×Q8—24no—
479C2×Q8—24no—
480C2×Q8C2×Q8×C4714yes—
481C2×Q8#41×C4714yes—
482C22×C4C24×C4712yes—
483C22×C4C24×C4711yescharacteristic
484C22×C4C24×C4712yes—
485C22×C4C24×C4712yes—
486C22×C4C24×C4714yes—
487C22×C4C24×C4712yes—
488C22×C4C24×C4714yes—
489C22×C4C24×C4712yes—
490C22×C4C24×C4711yescharacteristic
491C22×C4C24×C4712yes—
492C22×C4C24×C4712yes—
493C22×C4C24×C4711yescharacteristic
494C22×C4C24×C4712yes—
495C22×C4C24×C4711yescharacteristic
496C22×C4C24×C4711yescharacteristic
497C22×C4C24×C4711yescharacteristic
498C22×C4C24×C4711yescharacteristic
499C4⋊C4—24no—
500C4⋊C4—24no—
501C4⋊C4—24no—
502C4⋊C4—24no—
503C4⋊C4—24no—
504C4⋊C4—22no—
505C4⋊C4—22no—
506C4⋊C4—22no—
507C4⋊C4—24no—
508C4⋊C4—22no—
509C4⋊C4—28no—
510C4⋊C4—28no—
511C4⋊C4—28no—
512C4⋊C4—24no—
513C4⋊C4—28no—
514C4⋊C4—28no—
515C4⋊C4—24no—
516C4⋊C4—24no—
517C4⋊C4—44no—
518C4⋊C4—42no—
519C4⋊C4—44no—
520C4⋊C4C2×Q8×C4718yes—
521C4⋊C4C2×Q8×C4714yes—
522C4⋊C4#41×C4714yes—
523C42—24no—
524C42—24no—
525C42—22no—
526C42—22no—
527C42—24no—
528C42—24no—
529C42—24no—
530C42—28no—
531C42—24no—
532C42—24no—
533C42—22no—
534C42—24no—
535C42—24no—
536C42—41no—
537C42—42no—
538C42—42no—
539C42C2×Q8×C4718yes—
540C42C2×Q8×C4714yes—
541C42#41×C4714yes—
542C42#41×C4714yes—
543C23C25×C4711yescharacteristic
544Q8—28no—
545Q8—28no—
546Q8—48no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—21no—
556C2×C4—22no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—24no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4C22×Q8×C4712yes—
583C2×C4C22×Q8×C4714yes—
584C2×C4C22×Q8×C4714yes—
585C2×C4C22×Q8×C4712yes—
586C2×C4C22×Q8×C4712yes—
587C2×C4C2×#41×C4714yes—
588C2×C4C2×#41×C4714yes—
589C2×C4C2×#41×C4712yes—
590C2×C4C2×#41×C4712yes—
591C2×C4C2×#41×C4712yes—
592C2×C4C2×#41×C4712yes—
593C2×C4C2×#41×C4712yes—
594C2×C4C2×#41×C4712yes—
595C2×C4C2×#41×C4712yes—
596C2×C4C2×#41×C4712yes—
597C2×C42−1+4×C4712yes—
598C22C23×Q8×C4711yescharacteristic
599C22C22×#41×C4711yescharacteristic
600C22C22×#41×C4711yescharacteristic
601C22C22×#41×C4711yescharacteristic
602C22C22×#41×C4711yescharacteristic
603C22C2×2−1+4×C4711yescharacteristic
604C22C47×#58511yescharacteristic
605C4—24no—
606C4—24no—
607C4—22no—
608C4—22no—
609C4—24no—
610C4—22no—
611C4—24no—
612C4—44no—
613C4—42no—
614C4—42no—
615C4—42no—
616C4—44no—
617C4—41no—
618C4—42no—
619C4C47×#52914yes—
620C4C47×#53314yes—
621C4C47×#55714yes—
622C2C2×C47×#52911yescharacteristic
623C2C2×C47×#53311yescharacteristic
624C2C47×#346111yescharacteristic
625C2C2×C47×#55711yescharacteristic
626C2Q8×#41×C4711yescharacteristic
627C2C47×#348011yescharacteristic
628C2C47×#348211yescharacteristic
subgroupG/H
centerC22×C4×C47C24
commutator, Frattini, cosocleC23C25×C47
socle, prime radicalC23×C47C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C47 ◁ G

Complements

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

NH ≅ G/Ntype
95. C4×Q8×C47Q8semidirect
283. #34951C47direct (N × H)
397. C47#34951direct (N × H)
410. C4×Q8Q8×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#25852
C47×#25822
C47×#25682
C47×#25522
C47×#25462
C47×#25112
C47×#25092
C47×#24532
C47×#24462
C47×#24022
C4×C4⋊Q8×C472
C4×#125×C472
C47×#22952
C42×Q8×C472
#3495147