Finite Group Databasebeta

← C47×#25357 #26065055

Subgroups — C47×#25357 #26065055

Order 12032.

832 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C47×#479C211yesmaximal, characteristic, complemented
2C2×C47×#435C211yesmaximal, characteristic
3C47×#2562C211yesmaximal, characteristic
4C47×#2538C211yesmaximal, characteristic
5C47×#2077C211yesmaximal, characteristic, complemented
6C47×#2076C211yesmaximal, characteristic, complemented
7C47×#2035C211yesmaximal, characteristic, complemented
8C47×#2035C211yesmaximal, characteristic, complemented
9C47×#1992C211yesmaximal, characteristic, complemented
10C47×#1948C211yesmaximal, characteristic, complemented
11C47×#1894C211yesmaximal, characteristic, complemented
12C47×#1892C211yesmaximal, characteristic, complemented
13C47×#1809C211yesmaximal, characteristic, complemented
14C47×#1807C211yesmaximal, characteristic, complemented
15C47×#1763C211yesmaximal, characteristic, complemented
16C22×M16×C47C2211yescharacteristic
17C23×C8×C47C2211yescharacteristic
18C2×#125×C47C2211yescharacteristic
19C2×C22⋊Q8×C47C2211yescharacteristic
20C2×C22⋊Q8×C47C2211yescharacteristic
21C2×C4×Q8×C47C2211yescharacteristic
22C2×C4×D4×C47C2211yescharacteristic
23C47×#479—24no—
24C47×#435—24no—
25C2×#107×C47C2211yescharacteristic
26C2×#106×C47C2211yescharacteristic
27C2×#106×C47C2211yescharacteristic
28C2×#106×C47C2211yescharacteristic
29C2×C4⋊C8×C47C2211yescharacteristic
30C2×#103×C47C2211yescharacteristic
31C2×#103×C47C2211yescharacteristic
32C2×#103×C47C2211yescharacteristic
33C2×#103×C47C2211yescharacteristic
34C2×C22⋊C8×C47C2211yescharacteristic
35C2×C22⋊C8×C47C2211yescharacteristic
36C2×#97×C47C2211yescharacteristic
37C47×#400—21no—
38C47×#396—21no—
39C47×#396—21no—
40C47×#394—21no—
41C47×#390—21no—
42C47×#389—21no—
43C47×#388—21no—
44C47×#388—21no—
45C47×#384C2211yescharacteristic
46C47×#380C2211yescharacteristic
47C47×#380C2211yescharacteristic
48C47×#380C2211yescharacteristic
49C47×#380C2211yescharacteristic
50C47×#380C2211yescharacteristic
51C47×#380C2211yescharacteristic
52C4×C4⋊C4×C47C2211yescharacteristic
53C47×#340C2211yescharacteristic
54C47×#340C2211yescharacteristic
55C47×#340C2211yescharacteristic
56C47×#340C2211yescharacteristic
57C47×#340C2211yescharacteristic
58C47×#340C2211yescharacteristic
59C47×#340C2211yescharacteristic
60C47×#340C2211yescharacteristic
61C22×Q8×C47C2311yescharacteristic
62C22×D4×C47D411yescharacteristic
63C23×C4×C47C2311yescharacteristic
64C23×C4×C47C2311yescharacteristic
65C2×M16×C47—22no—
66C2×M16×C47—22no—
67C2×M16×C47—41no—
68C22×C8×C47—22no—
69C22×C8×C47—22no—
70C22×C8×C47—41no—
71C22×C8×C47C2311yescharacteristic
72C22×C8×C47C2311yescharacteristic
73C22×C8×C47C2311yescharacteristic
74C22×C8×C47C2311yescharacteristic
75#125×C47—22no—
76#125×C47—22no—
77C22⋊Q8×C47—22no—
78C22⋊Q8×C47—22no—
79C22⋊Q8×C47—41no—
80C22⋊Q8×C47—41no—
81C4×Q8×C47—22no—
82C4×Q8×C47—22no—
83C4×D4×C47—22no—
84C4×D4×C47—22no—
85C2×C4⋊C4×C47—21no—
86C2×C4⋊C4×C47—21no—
87C2×C4⋊C4×C47—21no—
88C2×C4⋊C4×C47—21no—
89C2×C4⋊C4×C47—21no—
90C2×C4⋊C4×C47—21no—
91C2×C4⋊C4×C47—21no—
92C2×C4⋊C4×C47D411yescharacteristic
93C2×C4⋊C4×C47C2311yescharacteristic
94C2×C4⋊C4×C47C2311yescharacteristic
95C2×C4⋊C4×C47C2311yescharacteristic
96C2×C4⋊C4×C47C2311yescharacteristic
97C2×C4⋊C4×C47C2311yescharacteristic
98C2×C4⋊C4×C47C2311yescharacteristic
99C2×C4⋊C4×C47C2311yescharacteristic
100C2×C22⋊C4×C47—21no—
101C2×C22⋊C4×C47—21no—
102C2×C22⋊C4×C47—21no—
103C2×C22⋊C4×C47—21no—
104C2×C22⋊C4×C47—21no—
105C2×C22⋊C4×C47—21no—
106C2×C22⋊C4×C47—21no—
107C2×C22⋊C4×C47—21no—
108C2×C22⋊C4×C47D411yescharacteristic
109C2×C22⋊C4×C47D411yescharacteristic
110C2×C42×C47—21no—
111C2×C42×C47—21no—
112C2×C42×C47C2311yescharacteristic
113#107×C47—22no—
114#106×C47—22no—
115#106×C47—41no—
116#106×C47—41no—
117C4⋊C8×C47D414yes—
118#103×C47—22no—
119#103×C47—22no—
120#103×C47—22no—
121#103×C47—22no—
122C22⋊C8×C47—22no—
123C22⋊C8×C47—22no—
124#97×C47—22no—
125#95×C47—21no—
126#95×C47—21no—
127#95×C47—21no—
128#95×C47—21no—
129#95×C47—21no—
130#95×C47—21no—
131#95×C47—21no—
132C24×C47C2×D411yescharacteristic
133C24×C47C2×D411yescharacteristic
134C2×Q8×C47—21no—
135C2×Q8×C47—21no—
136C2×Q8×C47—21no—
137C2×Q8×C47—21no—
138C2×Q8×C47—21no—
139C2×Q8×C47#4112yes—
140C2×D4×C47—22no—
141C2×D4×C47—22no—
142C2×D4×C47—41no—
143C22×C4×C47—21no—
144C22×C4×C47—21no—
145C22×C4×C47—21no—
146C22×C4×C47—21no—
147C22×C4×C47—21no—
148C22×C4×C47—21no—
149C22×C4×C47—21no—
150C22×C4×C47—21no—
151C22×C4×C47—21no—
152C22×C4×C47—21no—
153C22×C4×C47—21no—
154C22×C4×C47—21no—
155C22×C4×C47—21no—
156C22×C4×C47—21no—
157C22×C4×C47—21no—
158C22×C4×C47—21no—
159C22×C4×C47—21no—
160C22×C4×C47—21no—
161C22×C4×C47—21no—
162C22×C4×C47—21no—
163C22×C4×C47C2×D411yescharacteristic
164C22×C4×C47C2×D411yescharacteristic
165C22×C4×C47C2×D411yescharacteristic
166C22×C4×C47C2×D411yescharacteristic
167C22×C4×C47C2411yescharacteristic
168M16×C47—44no—
169C2×C8×C47—21no—
170C2×C8×C47—21no—
171C2×C8×C47—21no—
172C2×C8×C47—21no—
173C2×C8×C47—21no—
174C2×C8×C47—21no—
175C2×C8×C47—21no—
176C2×C8×C47—21no—
177C2×C8×C47—21no—
178C2×C8×C47—44no—
179C2×C8×C47C2×D412yes—
180C2×C8×C47C2×D412yes—
181C2×C8×C47#4112yes—
182C4⋊C4×C47—22no—
183C4⋊C4×C47—21no—
184C4⋊C4×C47—21no—
185C4⋊C4×C47—21no—
186C4⋊C4×C47—21no—
187C4⋊C4×C47—21no—
188C4⋊C4×C47—21no—
189C4⋊C4×C47—21no—
190C4⋊C4×C47—21no—
191C4⋊C4×C47—21no—
192C4⋊C4×C47—21no—
193C4⋊C4×C47—21no—
194C4⋊C4×C47—21no—
195C4⋊C4×C47—21no—
196C4⋊C4×C47—21no—
197C4⋊C4×C47—42no—
198C4⋊C4×C47—42no—
199C4⋊C4×C47—42no—
200C4⋊C4×C47—42no—
201C4⋊C4×C47—42no—
202C4⋊C4×C47—42no—
203C4⋊C4×C47—81no—
204C22⋊C4×C47—22no—
205C22⋊C4×C47—22no—
206C22⋊C4×C47—42no—
207C22⋊C4×C47—42no—
208C22⋊C4×C47—42no—
209C22⋊C4×C47—42no—
210C22⋊C4×C47—81no—
211C22⋊C4×C47—81no—
212C22⋊C4×C47—81no—
213C22⋊C4×C47—81no—
214C42×C47—42no—
215C42×C47—81no—
216C42×C47C2×D412yes—
217C42×C47#4112yes—
218C23×C47—21no—
219C23×C47—21no—
220C23×C47—21no—
221C23×C47—21no—
222C23×C47—21no—
223C23×C47—21no—
224C23×C47—21no—
225C23×C47—21no—
226C23×C47—21no—
227C23×C47—21no—
228C23×C47—21no—
229C23×C47—21no—
230C23×C47—21no—
231C23×C47#13712yes—
232C23×C47C22×D411yescharacteristic
233Q8×C47—22no—
234Q8×C47—22no—
235Q8×C47—41no—
236Q8×C47—41no—
237D4×C47—44no—
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—22no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—41no—
250C2×C4×C47—41no—
251C2×C4×C47—41no—
252C2×C4×C47—41no—
253C2×C4×C47—41no—
254C2×C4×C47—41no—
255C2×C4×C47—41no—
256C2×C4×C47—41no—
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—41no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47—41no—
270C2×C4×C47—41no—
271C2×C4×C47—41no—
272C2×C4×C47—41no—
273C2×C4×C47—41no—
274C2×C4×C47—41no—
275C2×C4×C47—41no—
276C2×C4×C47—41no—
277C2×C4×C47—41no—
278C2×C4×C47—41no—
279C2×C4×C47—41no—
280C2×C4×C47#12112yes—
281C2×C4×C47#12112yes—
282C2×C4×C47C22×D411yescharacteristic
283C2×C4×C47C2×#4111yescharacteristic
284C2×C4×C47C2×#4111yescharacteristic
285C2×C4×C47C2×#4111yescharacteristic
286C2×C4×C47H(5,𝔽2)11yescharacteristic
287C2×C4×C472−1+411yescharacteristic
288C8×C47—22no—
289C8×C47—22no—
290C8×C47—22no—
291C8×C47—41no—
292#25357C4711yesmaximal, characteristic, direct product factor, Sylow
293C22×C47—22no—
294C22×C47—22no—
295C22×C47—22no—
296C22×C47—41no—
297C22×C47—41no—
298C22×C47—41no—
299C22×C47—41no—
300C22×C47—41no—
301C22×C47—41no—
302C22×C47—41no—
303C22×C47—41no—
304C22×C47—41no—
305C22×C47—41no—
306C22×C47—41no—
307C22×C47C2×#12111yescharacteristic
308C22×C47#54611yescharacteristic
309C22×C47#54711yescharacteristic
310C22×C47C2×#13711yescharacteristic
311C22×C47#57511yescharacteristic
312C22×C47#57711yescharacteristic
313C22×C47#57711yescharacteristic
314C4×C47—22no—
315C4×C47—22no—
316C4×C47—41no—
317C4×C47—41no—
318C4×C47—42no—
319C4×C47—81no—
320C4×C47—81no—
321C4×C47—81no—
322C4×C47—81no—
323C4×C47—81no—
324C4×C47—81no—
325C4×C47—81no—
326C4×C47#52911yescharacteristic
327C4×C47#54211yescharacteristic
328C4×C47#54611yescharacteristic
329C4×C47#54811yescharacteristic
330C2×#479C2×C4711yescharacteristic, complemented
331C2×#435C2×C4711yescharacteristic
332#2562C2×C4711yescharacteristic
333#2538C2×C4711yescharacteristic
334#2077C2×C4711yescharacteristic, complemented
335#2076C2×C4711yescharacteristic, complemented
336#2035C2×C4711yescharacteristic, complemented
337#2035C2×C4711yescharacteristic, complemented
338#1992C2×C4711yescharacteristic, complemented
339#1948C2×C4711yescharacteristic, complemented
340#1894C2×C4711yescharacteristic, complemented
341#1892C2×C4711yescharacteristic, complemented
342#1809C2×C4711yescharacteristic, complemented
343#1807C2×C4711yescharacteristic, complemented
344#1763C2×C4711yescharacteristic, complemented
345C2×C47—42no—
346C2×C47—81no—
347C2×C47#242711yescharacteristic
348C2×C47#305611yescharacteristic
349C2×C47#306011yescharacteristic
350C2×C47#331711yescharacteristic
351C2×C47#332011yescharacteristic
352C2×C47#334411yescharacteristic
353C2×C47#335011yescharacteristic
354C22×M16C22×C4711yescharacteristic
355C23×C8C22×C4711yescharacteristic
356C2×#125C22×C4711yescharacteristic
357C2×C22⋊Q8C22×C4711yescharacteristic
358C2×C22⋊Q8C22×C4711yescharacteristic
359C2×C4×Q8C22×C4711yescharacteristic
360C2×C4×D4C22×C4711yescharacteristic
361#479—24no—
362#435—24no—
363C2×#107C22×C4711yescharacteristic
364C2×#106C22×C4711yescharacteristic
365C2×#106C22×C4711yescharacteristic
366C2×#106C22×C4711yescharacteristic
367C2×C4⋊C8C22×C4711yescharacteristic
368C2×#103C22×C4711yescharacteristic
369C2×#103C22×C4711yescharacteristic
370C2×#103C22×C4711yescharacteristic
371C2×#103C22×C4711yescharacteristic
372C2×C22⋊C8C22×C4711yescharacteristic
373C2×C22⋊C8C22×C4711yescharacteristic
374C2×#97C22×C4711yescharacteristic
375#400—21no—
376#396—21no—
377#396—21no—
378#394—21no—
379#390—21no—
380#389—21no—
381#388—21no—
382#388—21no—
383#384C22×C4711yescharacteristic
384#380C22×C4711yescharacteristic
385#380C22×C4711yescharacteristic
386#380C22×C4711yescharacteristic
387#380C22×C4711yescharacteristic
388#380C22×C4711yescharacteristic
389#380C22×C4711yescharacteristic
390C4×C4⋊C4C22×C4711yescharacteristic
391#340C22×C4711yescharacteristic
392#340C22×C4711yescharacteristic
393#340C22×C4711yescharacteristic
394#340C22×C4711yescharacteristic
395#340C22×C4711yescharacteristic
396#340C22×C4711yescharacteristic
397#340C22×C4711yescharacteristic
398#340C22×C4711yescharacteristic
399C47#2535711yescharacteristic, direct product factor, Sylow
400C22×Q8C23×C4711yescharacteristic
401C22×D4D4×C4711yescharacteristic
402C23×C4C23×C4711yescharacteristic
403C23×C4C23×C4711yescharacteristic
404C2×M16—22no—
405C2×M16—22no—
406C2×M16—41no—
407C22×C8—22no—
408C22×C8—22no—
409C22×C8—41no—
410C22×C8C23×C4711yescharacteristic
411C22×C8C23×C4711yescharacteristic
412C22×C8C23×C4711yescharacteristic
413C22×C8C23×C4711yescharacteristic
414#125—22no—
415#125—22no—
416C22⋊Q8—22no—
417C22⋊Q8—22no—
418C22⋊Q8—41no—
419C22⋊Q8—41no—
420C4×Q8—22no—
421C4×Q8—22no—
422C4×D4—22no—
423C4×D4—22no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4D4×C4711yescharacteristic
432C2×C4⋊C4C23×C4711yescharacteristic
433C2×C4⋊C4C23×C4711yescharacteristic
434C2×C4⋊C4C23×C4711yescharacteristic
435C2×C4⋊C4C23×C4711yescharacteristic
436C2×C4⋊C4C23×C4711yescharacteristic
437C2×C4⋊C4C23×C4711yescharacteristic
438C2×C4⋊C4C23×C4711yescharacteristic
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4D4×C4711yescharacteristic
448C2×C22⋊C4D4×C4711yescharacteristic
449C2×C42—21no—
450C2×C42—21no—
451C2×C42C23×C4711yescharacteristic
452#107—22no—
453#106—22no—
454#106—41no—
455#106—41no—
456C4⋊C8D4×C4714yes—
457#103—22no—
458#103—22no—
459#103—22no—
460#103—22no—
461C22⋊C8—22no—
462C22⋊C8—22no—
463#97—22no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471C24C2×D4×C4711yescharacteristic
472C24C2×D4×C4711yescharacteristic
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8#41×C4712yes—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—41no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4C2×D4×C4711yescharacteristic
503C22×C4C2×D4×C4711yescharacteristic
504C22×C4C2×D4×C4711yescharacteristic
505C22×C4C2×D4×C4711yescharacteristic
506C22×C4C24×C4711yescharacteristic
507M16—44no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—44no—
518C2×C8C2×D4×C4712yes—
519C2×C8C2×D4×C4712yes—
520C2×C8#41×C4712yes—
521C4⋊C4—22no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—81no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—81no—
553C42—42no—
554C42—81no—
555C42C2×D4×C4712yes—
556C42#41×C4712yes—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23#137×C4712yes—
571C23C22×D4×C4711yescharacteristic
572Q8—22no—
573Q8—22no—
574Q8—41no—
575Q8—41no—
576D4—44no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4#121×C4712yes—
620C2×C4#121×C4712yes—
621C2×C4C22×D4×C4711yescharacteristic
622C2×C4C2×#41×C4711yescharacteristic
623C2×C4C2×#41×C4711yescharacteristic
624C2×C4C2×#41×C4711yescharacteristic
625C2×C4H(5,𝔽2)×C4711yescharacteristic
626C2×C42−1+4×C4711yescharacteristic
627C8—22no—
628C8—22no—
629C8—22no—
630C8—41no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22C2×#121×C4711yescharacteristic
646C22C47×#54611yescharacteristic
647C22C47×#54711yescharacteristic
648C22C2×#137×C4711yescharacteristic
649C22C47×#57511yescharacteristic
650C22C47×#57711yescharacteristic
651C22C47×#57711yescharacteristic
652C4—22no—
653C4—22no—
654C4—41no—
655C4—41no—
656C4—42no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4C47×#52911yescharacteristic
665C4C47×#54211yescharacteristic
666C4C47×#54611yescharacteristic
667C4C47×#54811yescharacteristic
668C2—42no—
669C2—81no—
670C2C47×#242711yescharacteristic
671C2C47×#305611yescharacteristic
672C2C47×#306011yescharacteristic
673C2C47×#331711yescharacteristic
674C2C47×#332011yescharacteristic
675C2C47×#334411yescharacteristic
676C2C47×#335011yescharacteristic
subgroupG/H
center, socleC23×C47C22×D4
commutator, Frattini, cosocleC22×C4C24×C47
prime radicalC22×D4×C47D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C47 ◁ C2×C4×D4×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C47×#479C2semidirect
5. C47×#2077C2semidirect
6. C47×#2076C2semidirect
7. C47×#2035C2semidirect
8. C47×#2035C2semidirect
9. C47×#1992C2semidirect
10. C47×#1948C2semidirect
11. C47×#1894C2semidirect
12. C47×#1892C2semidirect
13. C47×#1809C2semidirect
14. C47×#1807C2semidirect
15. C47×#1763C2semidirect
292. #25357C47direct (N × H)
330. C2×#479C2×C47semidirect
334. #2077C2×C47semidirect
335. #2076C2×C47semidirect
336. #2035C2×C47semidirect
337. #2035C2×C47semidirect
338. #1992C2×C47semidirect
339. #1948C2×C47semidirect
340. #1894C2×C47semidirect
341. #1892C2×C47semidirect
342. #1809C2×C47semidirect
343. #1807C2×C47semidirect
344. #1763C2×C47semidirect
399. C47#25357direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C47×#4792
C2×C47×#4352
C47×#25622
C47×#25382
C47×#20772
C47×#20762
C47×#20352
C47×#19922
C47×#19482
C47×#18942
C47×#18922
C47×#18092
C47×#18072
C47×#17632
#2535747