Finite Group Databasebeta

← C47×#18026 #26057724

Subgroups — C47×#18026 #26057724

Order 12032.

656 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×#3100C211yesmaximal, characteristic
2C47×#2979C211yesmaximal, characteristic, complemented
3C47×#2974C211yesmaximal, characteristic, complemented
4C47×#1594C211yesmaximal, characteristic, complemented
5C47×#1589C211yesmaximal, characteristic, complemented
6C47×#1586C211yesmaximal, characteristic, complemented
7C47×#1586C211yesmaximal, characteristic, complemented
8C47×#1581C211yesmaximal, characteristic, complemented
9C47×#1581C211yesmaximal, characteristic, complemented
10C47×#1580C211yesmaximal, characteristic, complemented
11C8×D8×C47C211yesmaximal, characteristic, complemented
12C47×#1572C211yesmaximal, characteristic, complemented
13C47×#1496C211yesmaximal, characteristic, complemented
14C47×#1478C211yesmaximal, characteristic, complemented
15C47×#1454C211yesmaximal, characteristic, complemented
16C47×#532C2211yescharacteristic
17C2×C4×D4×C47C2211yescharacteristic
18C47×#480C411yescharacteristic
19C47×#480C411yescharacteristic
20C47×#474C411yescharacteristic
21C47×#474C411yescharacteristic
22C47×#459C411yescharacteristic
23C47×#459C411yescharacteristic
24C47×#447C411yescharacteristic
25C47×#447C411yescharacteristic
26C4×D8×C47C2211yescharacteristic
27C4×D8×C47C2211yescharacteristic
28C4×D8×C47C2211yescharacteristic
29C4×D8×C47C2211yescharacteristic
30C47×#436—21no—
31C47×#436C2211yescharacteristic
32C47×#436C2211yescharacteristic
33C47×#436C2211yescharacteristic, complemented
34C47×#436C2211yescharacteristic, complemented
35C47×#435—21no—
36C47×#435—21no—
37C8×D4×C47—21no—
38C8×D4×C47C2211yescharacteristic
39C8×D4×C47C2211yescharacteristic
40C8×D4×C47C2211yescharacteristic, complemented
41C8×D4×C47C2211yescharacteristic, complemented
42C47×#432C2211yescharacteristic
43C47×#431C2211yescharacteristic
44C47×#431C2211yescharacteristic
45C47×#431C2211yescharacteristic
46C47×#431C2211yescharacteristic
47C47×#408—21no—
48C47×#408—21no—
49C47×#407—21no—
50C2×C22⋊C8×C47—21no—
51C47×#335C2211yescharacteristic, complemented
52C47×#335C2211yescharacteristic, complemented
53C47×#334C2211yescharacteristic, complemented
54C47×#334C2211yescharacteristic, complemented
55C47×D4⋊C8C2211yescharacteristic
56C47×D4⋊C8C2211yescharacteristic
57C47×D4⋊C8C2211yescharacteristic
58C47×D4⋊C8C2211yescharacteristic
59C47×D4⋊C8C2211yescharacteristic, complemented
60C47×D4⋊C8C2211yescharacteristic, complemented
61C47×D4⋊C8C2211yescharacteristic, complemented
62C47×D4⋊C8C2211yescharacteristic, complemented
63C47×#322C2211yescharacteristic, complemented
64C47×#322C2211yescharacteristic, complemented
65C47×#322C2211yescharacteristic, complemented
66C82×C47C2211yescharacteristic, complemented
67C2×#41×C47—21no—
68C22×D4×C47C2×C411yescharacteristic
69C23×C4×C47—21no—
70C2×D8×C47C2×C411yescharacteristic
71C2×D8×C47C2×C411yescharacteristic
72C2×D8×C47C2×C411yescharacteristic
73C2×D8×C47C2×C411yescharacteristic
74C2×M16×C47—21no—
75C2×M16×C47—21no—
76C2×M16×C47—21no—
77C2×M16×C47—21no—
78C22×C8×C47—21no—
79C22×C8×C47—21no—
80C22×C8×C47—21no—
81C22×C8×C47—21no—
82C4⋊Q8×C47C2×C411yescharacteristic
83#127×C47C2×C411yescharacteristic
84#124×C47—21no—
85#121×C47—21no—
86#121×C47C2×C411yescharacteristic
87#121×C47C2×C411yescharacteristic
88C4×D4×C47—21no—
89C4×D4×C47—21no—
90C4×D4×C47—21no—
91C4×D4×C47C2×C411yescharacteristic
92C4×D4×C47C2×C411yescharacteristic
93C4×D4×C47C2311yescharacteristic
94C4×D4×C47C2311yescharacteristic
95C4×D4×C47C2311yescharacteristic
96C4×D4×C47C2311yescharacteristic
97C2×C4⋊C4×C47C2×C411yescharacteristic
98C2×C22⋊C4×C47—21no—
99C2×C42×C47C2311yescharacteristic
100#107×C47C2×C411yescharacteristic
101#107×C47C2×C411yescharacteristic
102#107×C47C2×C411yescharacteristic
103#107×C47C2×C411yescharacteristic
104C4⋊C8×C47—21no—
105C4⋊C8×C47C2×C411yescharacteristic
106C4⋊C8×C47C2×C411yescharacteristic
107C4⋊C8×C47D411yescharacteristic
108C4⋊C8×C47D411yescharacteristic
109C4⋊C8×C47C2311yescharacteristic
110C4⋊C8×C47C2311yescharacteristic
111C4⋊C8×C47C2311yescharacteristic
112C4⋊C8×C47C2311yescharacteristic
113#102×C47C2×C411yescharacteristic
114#102×C47C2×C411yescharacteristic
115#102×C47C2×C411yescharacteristic
116#102×C47C2×C411yescharacteristic
117#102×C47C2×C411yescharacteristic
118#102×C47C2×C411yescharacteristic
119#102×C47C2×C411yescharacteristic
120#102×C47C2×C411yescharacteristic
121C22⋊C8×C47—21no—
122C22⋊C8×C47—21no—
123C22⋊C8×C47—21no—
124C22⋊C8×C47—21no—
125C22⋊C8×C47—21no—
126C22⋊C8×C47—21no—
127C22⋊C8×C47—21no—
128C22⋊C8×C47—21no—
129C22⋊C8×C47—21no—
130C22⋊C8×C47—21no—
131C22⋊C8×C47—21no—
132C22⋊C8×C47C2×C411yescharacteristic
133C22⋊C8×C47C2×C411yescharacteristic
134C22⋊C8×C47D411yescharacteristic
135C22⋊C8×C47D411yescharacteristic
136#97×C47—21no—
137C4×C8×C47—21no—
138C4×C8×C47C2311yescharacteristic
139C4×C8×C47C2311yescharacteristic
140C4×C8×C47C2311yescharacteristic
141C4×C8×C47C2311yescharacteristic
142C4×C8×C47C2311yescharacteristic
143C4×C8×C47C2311yescharacteristic
144C24×C47—21no—
145#41×C47—81no—
146#41×C47—81no—
147C2×Q8×C47—21no—
148C2×D4×C47—22no—
149C2×D4×C47—21no—
150C2×D4×C47—21no—
151C2×D4×C47—21no—
152C2×D4×C47—21no—
153C2×D4×C47—21no—
154C2×D4×C47—41no—
155C2×D4×C47C22×C411yescharacteristic
156C2×D4×C47C22×C411yescharacteristic
157C2×D4×C47C22×C411yescharacteristic
158C2×D4×C47C22×C411yescharacteristic
159C22×C4×C47—21no—
160C22×C4×C47—21no—
161C22×C4×C47—21no—
162C22×C4×C47—21no—
163C22×C4×C47—21no—
164C22×C4×C47—21no—
165C22×C4×C47—21no—
166C22×C4×C47—81no—
167C22×C4×C47—81no—
168C22×C4×C47C22×C411yescharacteristic
169C22×C4×C47C2×D411yescharacteristic
170C22×C4×C47#4111yescharacteristic
171D8×C47—22no—
172D8×C47—22no—
173D8×C47—41no—
174D8×C47—41no—
175M16×C47—81no—
176M16×C47—81no—
177M16×C47—81no—
178M16×C47—81no—
179C2×C8×C47—21no—
180C2×C8×C47—21no—
181C2×C8×C47—21no—
182C2×C8×C47—21no—
183C2×C8×C47—21no—
184C2×C8×C47—21no—
185C2×C8×C47—81no—
186C2×C8×C47—81no—
187C2×C8×C47—81no—
188C2×C8×C47—81no—
189C2×C8×C47C22×C411yescharacteristic
190C2×C8×C47C22×C411yescharacteristic
191C2×C8×C47C22×C411yescharacteristic
192C2×C8×C47C22×C411yescharacteristic
193C2×C8×C47C2×D411yescharacteristic
194C2×C8×C47C2×D411yescharacteristic
195C2×C8×C47C2×D411yescharacteristic
196C2×C8×C47C2×D411yescharacteristic
197C4⋊C4×C47—21no—
198C4⋊C4×C47—21no—
199C4⋊C4×C47C22×C411yescharacteristic
200C4⋊C4×C47C22×C411yescharacteristic
201C4⋊C4×C47C22×C411yescharacteristic
202C4⋊C4×C47C22×C411yescharacteristic
203C22⋊C4×C47—21no—
204C22⋊C4×C47—21no—
205C22⋊C4×C47—21no—
206C22⋊C4×C47—21no—
207C22⋊C4×C47—21no—
208C22⋊C4×C47—21no—
209C22⋊C4×C47—21no—
210C22⋊C4×C47—21no—
211C42×C47C22×C411yescharacteristic
212C42×C47C2×D411yescharacteristic
213C42×C47#4111yescharacteristic
214C42×C47C2411yescharacteristic
215C23×C47—21no—
216C23×C47—21no—
217C23×C47—21no—
218C23×C47—21no—
219C23×C47—42no—
220C23×C47—42no—
221C23×C47—81no—
222C23×C47C4×D411yescharacteristic
223Q8×C47—81no—
224D4×C47—21no—
225D4×C47—21no—
226D4×C47—21no—
227D4×C47—21no—
228D4×C47—21no—
229D4×C47—21no—
230D4×C47—21no—
231D4×C47—42no—
232D4×C47—42no—
233D4×C47—81no—
234D4×C47—81no—
235D4×C47—81no—
236D4×C47#13112yes—
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—41no—
246C2×C4×C47—41no—
247C2×C4×C47—41no—
248C2×C4×C47—41no—
249C2×C4×C47—41no—
250C2×C4×C47—41no—
251C2×C4×C47—41no—
252C2×C4×C47—41no—
253C2×C4×C47—41no—
254C2×C4×C47—81no—
255C2×C4×C47—81no—
256C2×C4×C47—81no—
257C2×C4×C47C4×D411yescharacteristic
258C2×C4×C47C4×D411yescharacteristic
259C2×C4×C47C4×D411yescharacteristic
260C2×C4×C47C23×C411yescharacteristic
261C2×C4×C47C22×D411yescharacteristic
262C2×C4×C47C2×#4111yescharacteristic
263C8×C47—21no—
264C8×C47—21no—
265C8×C47—21no—
266C8×C47—21no—
267C8×C47—21no—
268C8×C47—21no—
269C8×C47—21no—
270C8×C47—21no—
271C8×C47—41no—
272C8×C47—41no—
273C8×C47—41no—
274C8×C47—41no—
275C8×C47—41no—
276C8×C47—41no—
277#18026C4711yesmaximal, characteristic, direct product factor, Sylow
278C22×C47—21no—
279C22×C47—22no—
280C22×C47—21no—
281C22×C47—21no—
282C22×C47—41no—
283C22×C47—41no—
284C22×C47—41no—
285C22×C47—41no—
286C22×C47—41no—
287C22×C47—41no—
288C22×C47—41no—
289C22×C47—41no—
290C22×C47—41no—
291C22×C47—41no—
292C22×C47—41no—
293C22×C47—84no—
294C22×C47C2×C4×D411yescharacteristic
295C4×C47—21no—
296C4×C47—21no—
297C4×C47—21no—
298C4×C47—21no—
299C4×C47—41no—
300C4×C47—41no—
301C4×C47—41no—
302C4×C47—41no—
303C4×C47C2×#13111yescharacteristic
304C4×C47#56811yescharacteristic
305C4×C47#57611yescharacteristic
306C4×C47#57611yescharacteristic
307#3100C2×C4711yescharacteristic
308#2979C2×C4711yescharacteristic, complemented
309#2974C2×C4711yescharacteristic, complemented
310#1594C2×C4711yescharacteristic, complemented
311#1589C2×C4711yescharacteristic, complemented
312#1586C2×C4711yescharacteristic, complemented
313#1586C2×C4711yescharacteristic, complemented
314#1581C2×C4711yescharacteristic, complemented
315#1581C2×C4711yescharacteristic, complemented
316#1580C2×C4711yescharacteristic, complemented
317C8×D8C2×C4711yescharacteristic, complemented
318#1572C2×C4711yescharacteristic, complemented
319#1496C2×C4711yescharacteristic, complemented
320#1478C2×C4711yescharacteristic, complemented
321#1454C2×C4711yescharacteristic, complemented
322C2×C47—41no—
323C2×C47—42no—
324C2×C47—81no—
325C2×C47—81no—
326C2×C47—81no—
327C2×C47#293311yescharacteristic
328C2×C47#294811yescharacteristic
329C2×C47#295511yescharacteristic
330#532C22×C4711yescharacteristic
331C2×C4×D4C22×C4711yescharacteristic
332#480C4×C4711yescharacteristic
333#480C4×C4711yescharacteristic
334#474C4×C4711yescharacteristic
335#474C4×C4711yescharacteristic
336#459C4×C4711yescharacteristic
337#459C4×C4711yescharacteristic
338#447C4×C4711yescharacteristic
339#447C4×C4711yescharacteristic
340C4×D8C22×C4711yescharacteristic
341C4×D8C22×C4711yescharacteristic
342C4×D8C22×C4711yescharacteristic
343C4×D8C22×C4711yescharacteristic
344#436—21no—
345#436C22×C4711yescharacteristic
346#436C22×C4711yescharacteristic
347#436C22×C4711yescharacteristic, complemented
348#436C22×C4711yescharacteristic, complemented
349#435—21no—
350#435—21no—
351C8×D4—21no—
352C8×D4C22×C4711yescharacteristic
353C8×D4C22×C4711yescharacteristic
354C8×D4C22×C4711yescharacteristic, complemented
355C8×D4C22×C4711yescharacteristic, complemented
356#432C22×C4711yescharacteristic
357#431C22×C4711yescharacteristic
358#431C22×C4711yescharacteristic
359#431C22×C4711yescharacteristic
360#431C22×C4711yescharacteristic
361#408—21no—
362#408—21no—
363#407—21no—
364C2×C22⋊C8—21no—
365#335C22×C4711yescharacteristic, complemented
366#335C22×C4711yescharacteristic, complemented
367#334C22×C4711yescharacteristic, complemented
368#334C22×C4711yescharacteristic, complemented
369D4⋊C8C22×C4711yescharacteristic
370D4⋊C8C22×C4711yescharacteristic
371D4⋊C8C22×C4711yescharacteristic
372D4⋊C8C22×C4711yescharacteristic
373D4⋊C8C22×C4711yescharacteristic, complemented
374D4⋊C8C22×C4711yescharacteristic, complemented
375D4⋊C8C22×C4711yescharacteristic, complemented
376D4⋊C8C22×C4711yescharacteristic, complemented
377#322C22×C4711yescharacteristic, complemented
378#322C22×C4711yescharacteristic, complemented
379#322C22×C4711yescharacteristic, complemented
380C82C22×C4711yescharacteristic, complemented
381C47#1802611yescharacteristic, direct product factor, Sylow
382C2×#41—21no—
383C22×D4C2×C4×C4711yescharacteristic
384C23×C4—21no—
385C2×D8C2×C4×C4711yescharacteristic
386C2×D8C2×C4×C4711yescharacteristic
387C2×D8C2×C4×C4711yescharacteristic
388C2×D8C2×C4×C4711yescharacteristic
389C2×M16—21no—
390C2×M16—21no—
391C2×M16—21no—
392C2×M16—21no—
393C22×C8—21no—
394C22×C8—21no—
395C22×C8—21no—
396C22×C8—21no—
397C4⋊Q8C2×C4×C4711yescharacteristic
398#127C2×C4×C4711yescharacteristic
399#124—21no—
400#121—21no—
401#121C2×C4×C4711yescharacteristic
402#121C2×C4×C4711yescharacteristic
403C4×D4—21no—
404C4×D4—21no—
405C4×D4—21no—
406C4×D4C2×C4×C4711yescharacteristic
407C4×D4C2×C4×C4711yescharacteristic
408C4×D4C23×C4711yescharacteristic
409C4×D4C23×C4711yescharacteristic
410C4×D4C23×C4711yescharacteristic
411C4×D4C23×C4711yescharacteristic
412C2×C4⋊C4C2×C4×C4711yescharacteristic
413C2×C22⋊C4—21no—
414C2×C42C23×C4711yescharacteristic
415#107C2×C4×C4711yescharacteristic
416#107C2×C4×C4711yescharacteristic
417#107C2×C4×C4711yescharacteristic
418#107C2×C4×C4711yescharacteristic
419C4⋊C8—21no—
420C4⋊C8C2×C4×C4711yescharacteristic
421C4⋊C8C2×C4×C4711yescharacteristic
422C4⋊C8D4×C4711yescharacteristic
423C4⋊C8D4×C4711yescharacteristic
424C4⋊C8C23×C4711yescharacteristic
425C4⋊C8C23×C4711yescharacteristic
426C4⋊C8C23×C4711yescharacteristic
427C4⋊C8C23×C4711yescharacteristic
428#102C2×C4×C4711yescharacteristic
429#102C2×C4×C4711yescharacteristic
430#102C2×C4×C4711yescharacteristic
431#102C2×C4×C4711yescharacteristic
432#102C2×C4×C4711yescharacteristic
433#102C2×C4×C4711yescharacteristic
434#102C2×C4×C4711yescharacteristic
435#102C2×C4×C4711yescharacteristic
436C22⋊C8—21no—
437C22⋊C8—21no—
438C22⋊C8—21no—
439C22⋊C8—21no—
440C22⋊C8—21no—
441C22⋊C8—21no—
442C22⋊C8—21no—
443C22⋊C8—21no—
444C22⋊C8—21no—
445C22⋊C8—21no—
446C22⋊C8—21no—
447C22⋊C8C2×C4×C4711yescharacteristic
448C22⋊C8C2×C4×C4711yescharacteristic
449C22⋊C8D4×C4711yescharacteristic
450C22⋊C8D4×C4711yescharacteristic
451#97—21no—
452C4×C8—21no—
453C4×C8C23×C4711yescharacteristic
454C4×C8C23×C4711yescharacteristic
455C4×C8C23×C4711yescharacteristic
456C4×C8C23×C4711yescharacteristic
457C4×C8C23×C4711yescharacteristic
458C4×C8C23×C4711yescharacteristic
459C24—21no—
460#41—81no—
461#41—81no—
462C2×Q8—21no—
463C2×D4—22no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—41no—
470C2×D4C22×C4×C4711yescharacteristic
471C2×D4C22×C4×C4711yescharacteristic
472C2×D4C22×C4×C4711yescharacteristic
473C2×D4C22×C4×C4711yescharacteristic
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—81no—
482C22×C4—81no—
483C22×C4C22×C4×C4711yescharacteristic
484C22×C4C2×D4×C4711yescharacteristic
485C22×C4#41×C4711yescharacteristic
486D8—22no—
487D8—22no—
488D8—41no—
489D8—41no—
490M16—81no—
491M16—81no—
492M16—81no—
493M16—81no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—81no—
501C2×C8—81no—
502C2×C8—81no—
503C2×C8—81no—
504C2×C8C22×C4×C4711yescharacteristic
505C2×C8C22×C4×C4711yescharacteristic
506C2×C8C22×C4×C4711yescharacteristic
507C2×C8C22×C4×C4711yescharacteristic
508C2×C8C2×D4×C4711yescharacteristic
509C2×C8C2×D4×C4711yescharacteristic
510C2×C8C2×D4×C4711yescharacteristic
511C2×C8C2×D4×C4711yescharacteristic
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4C22×C4×C4711yescharacteristic
515C4⋊C4C22×C4×C4711yescharacteristic
516C4⋊C4C22×C4×C4711yescharacteristic
517C4⋊C4C22×C4×C4711yescharacteristic
518C22⋊C4—21no—
519C22⋊C4—21no—
520C22⋊C4—21no—
521C22⋊C4—21no—
522C22⋊C4—21no—
523C22⋊C4—21no—
524C22⋊C4—21no—
525C22⋊C4—21no—
526C42C22×C4×C4711yescharacteristic
527C42C2×D4×C4711yescharacteristic
528C42#41×C4711yescharacteristic
529C42C24×C4711yescharacteristic
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—42no—
535C23—42no—
536C23—81no—
537C23C4×D4×C4711yescharacteristic
538Q8—81no—
539D4—21no—
540D4—21no—
541D4—21no—
542D4—21no—
543D4—21no—
544D4—21no—
545D4—21no—
546D4—42no—
547D4—42no—
548D4—81no—
549D4—81no—
550D4—81no—
551D4#131×C4712yes—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—81no—
570C2×C4—81no—
571C2×C4—81no—
572C2×C4C4×D4×C4711yescharacteristic
573C2×C4C4×D4×C4711yescharacteristic
574C2×C4C4×D4×C4711yescharacteristic
575C2×C4C23×C4×C4711yescharacteristic
576C2×C4C22×D4×C4711yescharacteristic
577C2×C4C2×#41×C4711yescharacteristic
578C8—21no—
579C8—21no—
580C8—21no—
581C8—21no—
582C8—21no—
583C8—21no—
584C8—21no—
585C8—21no—
586C8—41no—
587C8—41no—
588C8—41no—
589C8—41no—
590C8—41no—
591C8—41no—
592C22—21no—
593C22—22no—
594C22—21no—
595C22—21no—
596C22—41no—
597C22—41no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—84no—
608C22C2×C4×D4×C4711yescharacteristic
609C4—21no—
610C4—21no—
611C4—21no—
612C4—21no—
613C4—41no—
614C4—41no—
615C4—41no—
616C4—41no—
617C4C2×#131×C4711yescharacteristic
618C4C47×#56811yescharacteristic
619C4C47×#57611yescharacteristic
620C4C47×#57611yescharacteristic
621C2—41no—
622C2—42no—
623C2—81no—
624C2—81no—
625C2—81no—
626C2C47×#293311yescharacteristic
627C2C47×#294811yescharacteristic
628C2C47×#295511yescharacteristic
subgroupG/H
centerC2×C4×C47C22×D4
commutatorC2×C4C23×C4×C47
Frattini, cosocleC42C24×C47
socleC22×C47C2×C4×D4
prime radicalC47×#3100C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C47 ◁ C47×#431 ◁ G

Complements

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

NH ≅ G/Ntype
2. C47×#2979C2semidirect
3. C47×#2974C2semidirect
4. C47×#1594C2semidirect
5. C47×#1589C2semidirect
6. C47×#1586C2semidirect
7. C47×#1586C2semidirect
8. C47×#1581C2semidirect
9. C47×#1581C2semidirect
10. C47×#1580C2semidirect
11. C8×D8×C47C2semidirect
12. C47×#1572C2semidirect
13. C47×#1496C2semidirect
14. C47×#1478C2semidirect
15. C47×#1454C2semidirect
33. C47×#436C22semidirect
34. C47×#436C22semidirect
40. C8×D4×C47C22semidirect
41. C8×D4×C47C22semidirect
51. C47×#335C22semidirect
52. C47×#335C22semidirect
53. C47×#334C22semidirect
54. C47×#334C22semidirect
59. C47×D4⋊C8C22semidirect
60. C47×D4⋊C8C22semidirect
61. C47×D4⋊C8C22semidirect
62. C47×D4⋊C8C22semidirect
63. C47×#322C22semidirect
64. C47×#322C22semidirect
65. C47×#322C22semidirect
66. C82×C47C22semidirect
277. #18026C47direct (N × H)
308. #2979C2×C47semidirect
309. #2974C2×C47semidirect
310. #1594C2×C47semidirect
311. #1589C2×C47semidirect
312. #1586C2×C47semidirect
313. #1586C2×C47semidirect
314. #1581C2×C47semidirect
315. #1581C2×C47semidirect
316. #1580C2×C47semidirect
317. C8×D8C2×C47semidirect
318. #1572C2×C47semidirect
319. #1496C2×C47semidirect
320. #1478C2×C47semidirect
321. #1454C2×C47semidirect
347. #436C22×C47semidirect
348. #436C22×C47semidirect
354. C8×D4C22×C47semidirect
355. C8×D4C22×C47semidirect
365. #335C22×C47semidirect
366. #335C22×C47semidirect
367. #334C22×C47semidirect
368. #334C22×C47semidirect
373. D4⋊C8C22×C47semidirect
374. D4⋊C8C22×C47semidirect
375. D4⋊C8C22×C47semidirect
376. D4⋊C8C22×C47semidirect
377. #322C22×C47semidirect
378. #322C22×C47semidirect
379. #322C22×C47semidirect
380. C82C22×C47semidirect
381. C47#18026direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#31002
C47×#29792
C47×#29742
C47×#15942
C47×#15892
C47×#15862
C47×#15812
C47×#15802
C8×D8×C472
C47×#15722
C47×#14962
C47×#14782
C47×#14542
#1802647