Finite Group Databasebeta

← #26182089

Subgroups — #26182089

Order 12032.

1314 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#10625350C211yesmaximal, characteristic
2C2×#15689176C211yesmaximal, characteristic, complemented
3#20241711C212yesmaximal, complemented
4#20241708C212yesmaximal, complemented
5#20241704C214yesmaximal, complemented
6#20241700C214yesmaximal, complemented
7C2×C47×#431C211yesmaximal, characteristic, complemented
8C22×#10625350C411yescharacteristic
9C4×#10625350—21no—
10C4×#10625350—21no—
11C4×#10625350—21no—
12C4×#10625350—21no—
13C4×#10625350—21no—
14C4×#10625350—21no—
15C4×#10625350—21no—
16C4×#10625350—21no—
17C2×C4×Dic94C411yescharacteristic
18C2×C4×Dic94C2211yescharacteristic
19C2×C4×D188C411yescharacteristic
20C2×C4×D188C2211yescharacteristic
21C2×C4×C22⋊D47C412yes—
22C2×C4×C22⋊D47C2212yes—
23C2×#13093983C411yescharacteristic
24C2×#13093981C2212yes—
25C2×C42×D47C412yes—
26#15689176—21no—
27#15689176—21no—
28#15689176C2212yes—
29#15689176C2212yes—
30C2×C4⋊(C47⋊C8)—21no—
31C2×C22⋊(C47⋊C8)C2212yes—
32C2×C4×C47⋊C8—21no—
33#15688848C2218yes—
34#15688846C2218yes—
35C22×C42×C47C2211yescharacteristic
36C47×#431—21no—
37C47×#431—21no—
38C47×#431C2212yes—
39C47×#431C2212yes—
40C2×C4⋊C8×C47—21no—
41C2×C22⋊C8×C47C2212yes—
42C2×C4×C8×C47—21no—
43C2×#10625350—21no—
44C2×#10625350—21no—
45C2×#10625350—21no—
46C2×#10625350—21no—
47C2×#10625350—24no—
48C2×#10625350C818yescomplemented
49C22×Dic94C2×C411yescharacteristic
50C22×D188C2×C411yescharacteristic
51C22×C22⋊D47C2×C412yes—
52C22×C4×D47C2×C412yes—
53C22×C4×D47C2×C412yes—
54C22×C4×D47C2×C412yes—
55C22×C47⋊C8—22no—
56C4×Dic94—21no—
57C4×Dic94—21no—
58C4×Dic94—21no—
59C4×Dic94—21no—
60C4×Dic94—21no—
61C4×Dic94—21no—
62C4×Dic94—21no—
63C4×Dic94—21no—
64C4×D188—21no—
65C4×D188—21no—
66C4×D188—21no—
67C4×D188—21no—
68C4×D188—21no—
69C4×D188—21no—
70C4×D188—21no—
71C4×D188—21no—
72C4×C22⋊D47—22no—
73C4×C22⋊D47—22no—
74C4×C22⋊D47—22no—
75C4×C22⋊D47—22no—
76C4×C22⋊D47—22no—
77C4×C22⋊D47—22no—
78C4×C22⋊D47—22no—
79C4×C22⋊D47—22no—
80#13093983—21no—
81#13093983—21no—
82#13093983—21no—
83#13093983—21no—
84#13093981—22no—
85#13093981—22no—
86#13093981—22no—
87#13093981—22no—
88C2×C4⋊Dic47C2×C411yescharacteristic
89C2×C4⋊Dic47C2×C411yescharacteristic
90C2×Dic47⋊C4C2×C412yes—
91C2×Dic47⋊C4C2312yes—
92C2×C22⋊Dic47C2×C412yes—
93C2×(C2×D47)⋊C4C2×C412yes—
94C2×(C2×D47)⋊C4C2312yes—
95C2×C4×Dic47C2×C412yes—
96C2×C4×Dic47C2×C412yes—
97C2×C4×Dic47C2×C412yes—
98C42×D47—22no—
99C42×D47—22no—
100C42×D47—22no—
101C42×D47—22no—
102C4⋊(C47⋊C8)—22no—
103C4⋊(C47⋊C8)—22no—
104C22⋊(C47⋊C8)—22no—
105C22⋊(C47⋊C8)C2314yes—
106C4×C47⋊C8—22no—
107C4×C47⋊C8—22no—
108C23×C4×C47C2×C411yescharacteristic
109C23×C4×C47C2×C411yescharacteristic
110C23×C4×C47C2311yescharacteristic
111C22×C8×C47—22no—
112C2×C42×C47C2×C411yescharacteristic
113C2×C42×C47C2×C411yescharacteristic
114C2×C42×C47D411yescharacteristic
115C2×C42×C47D411yescharacteristic
116C2×C42×C47D411yescharacteristic
117C2×C42×C47D411yescharacteristic
118C2×C42×C47D411yescharacteristic
119C2×C42×C47D411yescharacteristic
120C2×C42×C47D411yescharacteristic
121C2×C42×C47D411yescharacteristic
122C2×C42×C47C2311yescharacteristic
123C2×C42×C47C2311yescharacteristic
124C4⋊C8×C47—22no—
125C4⋊C8×C47—22no—
126C22⋊C8×C47—22no—
127C22⋊C8×C47C2314yes—
128C4×C8×C47—22no—
129C4×C8×C47—22no—
130C24×C47C22×C411yescharacteristic
131C23×D47C22×C412yes—
132C22×C4×C47—42no—
133C22×C4×C47—42no—
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×C47C22⋊C411yescharacteristic
141C22×C4×C47C22⋊C411yescharacteristic
142C22×C4×C47C2×C814yes—
143C22×C4×C47M1614yes—
144C22×C4×C47C22×C411yescharacteristic
145C22×C4×C47C22×C411yescharacteristic
146C22×C4×C47C22×C411yescharacteristic
147C22×C4×C47C22×C411yescharacteristic
148C22×C4×C47C22×C411yescharacteristic
149C22×C4×C47C2×D411yescharacteristic
150C22×C4×C47C2×D411yescharacteristic
151C22×C4×C47C2×D411yescharacteristic
152C22×C4×C47C2×D411yescharacteristic
153C22×C4×C47C2411yescharacteristic
154C2×C22⋊D47—22no—
155C2×C22⋊D47—22no—
156C2×C22⋊D47—24no—
157C2×C22⋊D47C2×C818yes—
158C22×Dic47C22×C412yes—
159C22×Dic47C22×C412yes—
160C22×Dic47C22×C412yes—
161#10625350—28no—
162#10625350—28no—
163#10625350—28no—
164#10625350—28no—
165C2×D188—21no—
166C2×D188—21no—
167C2×D188—22no—
168C2×D188C2×C814yescomplemented
169C2×C4×D47—22no—
170C2×C4×D47—22no—
171C2×C4×D47—24no—
172C2×C4×D47—22no—
173C2×C4×D47—22no—
174C2×C4×D47—22no—
175C2×C4×D47—22no—
176C2×C4×D47—44no—
177C2×C4×D47—44no—
178C2×C4×D47C2×C818yescomplemented
179C2×Dic94—21no—
180C2×Dic94—21no—
181C2×Dic94—22no—
182C2×Dic94C2×C814yescomplemented
183C2×C8×C47—24no—
184C2×C8×C47—44no—
185C42×C47C22⋊C411yescharacteristic
186C42×C47C22⋊C411yescharacteristic
187C42×C47C22⋊C411yescharacteristic
188C42×C47C22⋊C411yescharacteristic
189C42×C47C22⋊C411yescharacteristic
190C42×C47C22⋊C411yescharacteristic
191C42×C47C22⋊C411yescharacteristic
192C42×C47C22⋊C411yescharacteristic
193C42×C47C2×D411yescharacteristic
194C42×C47C2×D411yescharacteristic
195C42×C47C2×D411yescharacteristic
196C42×C47C2×D411yescharacteristic
197C42×C47C2×D411yescharacteristic
198C42×C47C2×D411yescharacteristic
199C42×C47C2×D411yescharacteristic
200C42×C47C2×D411yescharacteristic
201C22⋊Dic47—22no—
202C22⋊Dic47—22no—
203(C2×D47)⋊C4—22no—
204(C2×D47)⋊C4—22no—
205(C2×D47)⋊C4—22no—
206(C2×D47)⋊C4—22no—
207C4⋊Dic47—21no—
208C4⋊Dic47—21no—
209C4⋊Dic47—21no—
210C4⋊Dic47—21no—
211Dic47⋊C4—22no—
212Dic47⋊C4—22no—
213Dic47⋊C4—22no—
214Dic47⋊C4—22no—
215C4×Dic47—22no—
216C4×Dic47—22no—
217C4×Dic47—22no—
218C4×Dic47—22no—
219C4×Dic47—22no—
220C4×Dic47—22no—
221C2×C47⋊C8—24no—
222C2×C47⋊C8—44no—
223C23×C47—41no—
224C23×C47—41no—
225C23×C47C2×C22⋊C411yescharacteristic
226C23×C47C2×C22⋊C411yescharacteristic
227C23×C47C22×C812yes—
228C23×C47C2×M1612yes—
229C23×C47C23×C411yescharacteristic
230C22×D47—22no—
231C22×D47—22no—
232C22×D47—42no—
233C22×D47—42no—
234C22×D47C22×C814yes—
235C2×C4×C47—22no—
236C2×C4×C47—22no—
237C2×C4×C47—22no—
238C2×C4×C47—22no—
239C2×C4×C47—22no—
240C2×C4×C47—22no—
241C2×C4×C47—41no—
242C2×C4×C47—41no—
243C2×C4×C47—41no—
244C2×C4×C47—41no—
245C2×C4×C47—41no—
246C2×C4×C47—41no—
247C2×C4×C47C22⋊C814yes—
248C2×C4×C47C22⋊C814yes—
249C2×C4×C47C22⋊C814yes—
250C2×C4×C47C22⋊C814yes—
251C2×C4×C47C2×C22⋊C411yescharacteristic
252C2×C4×C47C2×C22⋊C411yescharacteristic
253C2×C4×C47C2×C22⋊C411yescharacteristic
254C2×C4×C47C2×C22⋊C411yescharacteristic
255C2×C4×C47C2×C22⋊C411yescharacteristic
256C2×C4×C47C2×C22⋊C411yescharacteristic
257C2×C4×C47C2×C22⋊C411yescharacteristic
258C2×C4×C47C2×C22⋊C411yescharacteristic
259C2×C4×C47C2×C22⋊C411yescharacteristic
260C2×C4×C47C2×C22⋊C411yescharacteristic
261C2×C4×C47C22×C812yes—
262C2×C4×C47C22×C812yes—
263C2×C4×C47C2×M1612yes—
264C2×C4×C47C2×M1612yes—
265C2×C4×C47C22×D411yescharacteristic
266C2×C4×C47C22×D411yescharacteristic
267C22⋊D47—28no—
268C22⋊D47—28no—
269C2×Dic47—22no—
270C2×Dic47—22no—
271C2×Dic47—22no—
272C2×Dic47—22no—
273C2×Dic47—42no—
274C2×Dic47—42no—
275C2×Dic47C22×C814yes—
276D188—24no—
277D188—24no—
278C4×D47—28no—
279C4×D47—28no—
280C4×D47—44no—
281C4×D47—44no—
282C4×D47—44no—
283C4×D47—44no—
284Dic94—24no—
285Dic94—24no—
286C8×C47—44no—
287C47⋊C8—44no—
288#17349—471nomaximal, Sylow
289C22×C47—21no—
290C22×C47—21no—
291C22×C47—21no—
292C22×C47—21no—
293C22×C47—21no—
294C22×C47—21no—
295C22×C47—42no—
296C22×C47—42no—
297C22×C47C2×C22⋊C812yes—
298C22×C47C2×C22⋊C812yes—
299C22×C47C22×C22⋊C411yescharacteristic
300C22×C47C23×C811yescharacteristic
301C22×C47C22×M1611yescharacteristic
302C2×D47—24no—
303C2×D47—44no—
304C2×D47—42no—
305C2×D47—42no—
306C2×D47—44no—
307C4×C47—21no—
308C4×C47—21no—
309C4×C47—21no—
310C4×C47—21no—
311C4×C47—21no—
312C4×C47—21no—
313C4×C47C2×C22⋊C812yes—
314C4×C47C2×C22⋊C812yes—
315C4×C47C2×C22⋊C812yes—
316C4×C47C2×C22⋊C812yes—
317C4×C47#41012yes—
318C4×C47#41312yes—
319Dic47—24no—
320Dic47—42no—
321Dic47—42no—
322C2×C4×#41—471no—
323C2×#431—471no—
324C2×#431D4711yescharacteristic, complemented
325#1461—472no—
326#1460—472no—
327#1459—474no—
328#1458—474no—
329C2×C47—21no—
330C2×C47—21no—
331C2×C47—22no—
332C2×C47—22no—
333C2×C47C22×C22⋊C811yescharacteristic
334C2×C47C2×#41011yescharacteristic
335C2×C47C2×#41311yescharacteristic
336D47—44no—
337C22×#41—471no—
338C4×#41—941no—
339C4×#41—941no—
340C4×#41—941no—
341C4×#41—941no—
342C4×#41—941no—
343C4×#41—941no—
344C4×#41—941no—
345C4×#41—941no—
346C2×C4×Q8—471no—
347C2×C4×Q8—471no—
348C2×C4×D4—472no—
349C2×C4×D4—472no—
350C2×C4×D4—471no—
351C2×C4×D4—471no—
352C2×#117—471no—
353C2×#117—472no—
354C22×C42—472no—
355C22×C42C2×D4711yescharacteristic
356#431—21no—
357#431—21no—
358#431—472no—
359#431—472no—
360#431—941no—
361#431—941no—
362#431C2×D4712yes—
363#431C2×D4712yes—
364C2×C4⋊C8—21no—
365C2×C4⋊C8—941no—
366C2×C22⋊C8—472no—
367C2×C22⋊C8C2×D4712yes—
368C2×C4×C8—21no—
369C2×C4×C8—941no—
370#324—478no—
371#323—478no—
372C47#1734911yescharacteristic, complemented, Sylow
373C2×#41—478no—
374C2×#41—944no—
375C2×#41—941no—
376C2×#41—941no—
377C2×#41—941no—
378C2×#41—941no—
379C22×Q8—471no—
380C22×D4—472no—
381C22×D4—471no—
382C23×C4—472no—
383C23×C4—472no—
384C23×C4—472no—
385C23×C4C4×D4711yescharacteristic
386C23×C4C4×D4711yescharacteristic
387C23×C4C22×D4711yescharacteristic
388C22×C8—22no—
389C22×C8—942no—
390C4×Q8—941no—
391C4×Q8—941no—
392C4×Q8—941no—
393C4×Q8—941no—
394C4×Q8—941no—
395C4×Q8—941no—
396C4×Q8—941no—
397C4×Q8—941no—
398C4×D4—942no—
399C4×D4—942no—
400C4×D4—942no—
401C4×D4—942no—
402C4×D4—942no—
403C4×D4—942no—
404C4×D4—942no—
405C4×D4—942no—
406C4×D4—941no—
407C4×D4—941no—
408C4×D4—941no—
409C4×D4—941no—
410C4×D4—941no—
411C4×D4—941no—
412C4×D4—941no—
413C4×D4—941no—
414#117—941no—
415#117—941no—
416#117—941no—
417#117—941no—
418#117—942no—
419#117—942no—
420#117—942no—
421#117—942no—
422C2×C4⋊C4—472no—
423C2×C4⋊C4—471no—
424C2×C4⋊C4—471no—
425C2×C4⋊C4—472no—
426C2×C22⋊C4—472no—
427C2×C22⋊C4—472no—
428C2×C22⋊C4—472no—
429C2×C42—472no—
430C2×C42—472no—
431C2×C42—472no—
432C2×C42—942no—
433C2×C42—942no—
434C2×C42—942no—
435C2×C42—942no—
436C2×C42C4×D4711yescharacteristic
437C2×C42C4×D4711yescharacteristic
438C2×C42D18811yescharacteristic
439C2×C42D18811yescharacteristic
440C2×C42D18811yescharacteristic
441C2×C42D18811yescharacteristic
442C2×C42C22⋊D4711yescharacteristic
443C2×C42C22⋊D4711yescharacteristic
444C2×C42C22⋊D4711yescharacteristic
445C2×C42C22⋊D4711yescharacteristic
446C2×C42C22×D4711yescharacteristic
447C2×C42C22×D4711yescharacteristic
448C4⋊C8—22no—
449C4⋊C8—22no—
450C4⋊C8—942no—
451C4⋊C8—942no—
452C22⋊C8—22no—
453C22⋊C8—474no—
454C22⋊C8—942no—
455C22⋊C8C22×D4714yes—
456C4×C8—22no—
457C4×C8—22no—
458C4×C8—942no—
459C4×C8—942no—
460C24—472no—
461C24C2×C4×D4711yescharacteristic
462#41—948no—
463#41—948no—
464#41—948no—
465#41—948no—
466C2×Q8—474no—
467C2×Q8—941no—
468C2×Q8—941no—
469C2×Q8—942no—
470C2×D4—478no—
471C2×D4—474no—
472C2×D4—942no—
473C2×D4—942no—
474C2×D4—944no—
475C2×D4—941no—
476C2×D4—941no—
477C2×D4—942no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—472no—
481C22×C4—478no—
482C22×C4—472no—
483C22×C4—472no—
484C22×C4—942no—
485C22×C4—942no—
486C22×C4—944no—
487C22×C4—942no—
488C22×C4—942no—
489C22×C4—942no—
490C22×C4—942no—
491C22×C4—1884no—
492C22×C4—1884no—
493C22×C4C8×D4714yes—
494C22×C4#1062532414yes—
495C22×C4(C2×D47)⋊C411yescharacteristic
496C22×C4(C2×D47)⋊C411yescharacteristic
497C22×C4(C2×D47)⋊C411yescharacteristic
498C22×C4(C2×D47)⋊C411yescharacteristic
499C22×C4(C2×D47)⋊C411yescharacteristic
500C22×C4(C2×D47)⋊C411yescharacteristic
501C22×C4(C2×D47)⋊C411yescharacteristic
502C22×C4(C2×D47)⋊C411yescharacteristic
503C22×C4C2×C4×D4711yescharacteristic
504C22×C4C2×C4×D4711yescharacteristic
505C22×C4C2×C4×D4711yescharacteristic
506C22×C4C2×C4×D4711yescharacteristic
507C22×C4C2×C4×D4711yescharacteristic
508C22×C4C2×D18811yescharacteristic
509C22×C4C2×D18811yescharacteristic
510C22×C4C2×C22⋊D4711yescharacteristic
511C22×C4C2×C22⋊D4711yescharacteristic
512C22×C4C23×D4711yescharacteristic
513C2×C8—24no—
514C2×C8—44no—
515C2×C8—944no—
516C2×C8—1884no—
517C4⋊C4—942no—
518C4⋊C4—942no—
519C4⋊C4—941no—
520C4⋊C4—941no—
521C4⋊C4—941no—
522C4⋊C4—941no—
523C4⋊C4—942no—
524C4⋊C4—942no—
525C22⋊C4—942no—
526C22⋊C4—942no—
527C22⋊C4—942no—
528C22⋊C4—942no—
529C22⋊C4—942no—
530C22⋊C4—942no—
531C42—942no—
532C42—942no—
533C42—942no—
534C42—942no—
535C42—942no—
536C42—942no—
537C42(C2×D47)⋊C411yescharacteristic
538C42(C2×D47)⋊C411yescharacteristic
539C42(C2×D47)⋊C411yescharacteristic
540C42(C2×D47)⋊C411yescharacteristic
541C42(C2×D47)⋊C411yescharacteristic
542C42(C2×D47)⋊C411yescharacteristic
543C42(C2×D47)⋊C411yescharacteristic
544C42(C2×D47)⋊C411yescharacteristic
545C42C2×D18811yescharacteristic
546C42C2×D18811yescharacteristic
547C42C2×D18811yescharacteristic
548C42C2×D18811yescharacteristic
549C42C2×C22⋊D4711yescharacteristic
550C42C2×C22⋊D4711yescharacteristic
551C42C2×C22⋊D4711yescharacteristic
552C42C2×C22⋊D4711yescharacteristic
553C23—41no—
554C23—41no—
555C23—474no—
556C23—942no—
557C23—942no—
558C23—1882no—
559C23—1882no—
560C23C2×(C2×D47)⋊C411yescharacteristic
561C23C2×(C2×D47)⋊C411yescharacteristic
562C23C2×C8×D4712yes—
563C23C2×#1062532412yes—
564C23C22×C4×D4711yescharacteristic
565Q8—944no—
566Q8—944no—
567D4—948no—
568D4—948no—
569D4—944no—
570D4—944no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—474no—
584C2×C4—942no—
585C2×C4—942no—
586C2×C4—948no—
587C2×C4—948no—
588C2×C4—942no—
589C2×C4—942no—
590C2×C4—1884no—
591C2×C4—1884no—
592C2×C4—1884no—
593C2×C4—1884no—
594C2×C4—1882no—
595C2×C4—1882no—
596C2×C4(C2×D47)⋊C814yes—
597C2×C4(C2×D47)⋊C814yes—
598C2×C4(C2×D47)⋊C814yes—
599C2×C4(C2×D47)⋊C814yes—
600C2×C4C2×(C2×D47)⋊C411yescharacteristic
601C2×C4C2×(C2×D47)⋊C411yescharacteristic
602C2×C4C2×(C2×D47)⋊C411yescharacteristic
603C2×C4C2×(C2×D47)⋊C411yescharacteristic
604C2×C4C2×(C2×D47)⋊C411yescharacteristic
605C2×C4C2×(C2×D47)⋊C411yescharacteristic
606C2×C4C2×(C2×D47)⋊C411yescharacteristic
607C2×C4C2×(C2×D47)⋊C411yescharacteristic
608C2×C4C2×(C2×D47)⋊C411yescharacteristic
609C2×C4C2×(C2×D47)⋊C411yescharacteristic
610C2×C4C2×C8×D4712yes—
611C2×C4C2×C8×D4712yes—
612C2×C4C2×#1062532412yes—
613C2×C4C2×#1062532412yes—
614C2×C4C22×C22⋊D4711yescharacteristic
615C2×C4C22×D18811yescharacteristic
616C8—44no—
617C8—1884no—
618C22—21no—
619C22—21no—
620C22—21no—
621C22—21no—
622C22—21no—
623C22—21no—
624C22—42no—
625C22—42no—
626C22—944no—
627C22—1884no—
628C22—1884no—
629C22—1882no—
630C22—1882no—
631C22C2×(C2×D47)⋊C812yes—
632C22C2×(C2×D47)⋊C812yes—
633C22C22×(C2×D47)⋊C411yescharacteristic
634C22C22×C8×D4711yescharacteristic
635C22C22×#1062532411yescharacteristic
636C4—21no—
637C4—21no—
638C4—21no—
639C4—21no—
640C4—21no—
641C4—21no—
642C4—944no—
643C4—1882no—
644C4—1882no—
645C4C2×(C2×D47)⋊C812yes—
646C4C2×(C2×D47)⋊C812yes—
647C4C2×(C2×D47)⋊C812yes—
648C4C2×(C2×D47)⋊C812yes—
649C4#1568909612yes—
650C4#1568910512yes—
651C2—21no—
652C2—21no—
653C2—22no—
654C2—22no—
655C2—1884no—
656C2C22×(C2×D47)⋊C811yescharacteristic
657C2C2×#1568909611yescharacteristic
658C2C2×#1568910511yescharacteristic
subgroupG/H
centerC42(C2×D47)⋊C4
commutatorC22×C47C23×C8
FrattiniC22×C4C23×D47
FittingC2×C47×#431C2
socleC22×C47C22×C22⋊C4
prime radicalC22×#10625350C4
cosocleC22×C4×C47C24
hypercenterC2×#431D47
hypocenterC47#17349
LCSG ▷ C22×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C42 ◁ C22×C42 ◁ C2×#431

Complements

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

NH ≅ G/Ntype
2. C2×#15689176C2semidirect
3. #20241711C2semidirect
4. #20241708C2semidirect
5. #20241704C2semidirect
6. #20241700C2semidirect
7. C2×C47×#431C2semidirect
48. C2×#10625350C8semidirect
168. C2×D188C2×C8semidirect
178. C2×C4×D47C2×C8semidirect
182. C2×Dic94C2×C8semidirect
324. C2×#431D47semidirect
372. C47#17349semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#106253502
C2×#156891762
#202417112
#202417082
#202417042
#202417002
C2×C47×#4312
#1734947