Finite Group Databasebeta

← C47×#18006 #26057704

Subgroups — C47×#18006 #26057704

Order 12032.

670 conjugacy classes of subgroups.

The subgroup lattice has 612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3105C211yesmaximal, characteristic
2C47×#2969C211yesmaximal, characteristic, complemented
3D4×M16×C47C211yesmaximal, characteristic, complemented
4C47×#1594C211yesmaximal, characteristic, complemented
5C47×#1590C211yesmaximal, characteristic, complemented
6C47×#1588C211yesmaximal, characteristic, complemented
7C47×#1586C211yesmaximal, characteristic, complemented
8C47×#1582C211yesmaximal, characteristic, complemented
9C47×#1581C211yesmaximal, characteristic, complemented
10C47×SD16⋊C8C211yesmaximal, characteristic, complemented
11C8×D8×C47C211yesmaximal, characteristic, complemented
12C47×#1574C211yesmaximal, characteristic, complemented
13C47×#1495C211yesmaximal, characteristic, complemented
14C47×#1478C211yesmaximal, characteristic, complemented
15C47×#1453C211yesmaximal, characteristic, complemented
16C22×M16×C47—21no—
17C47×#529C2211yescharacteristic
18C2×C4×D4×C47C2211yescharacteristic
19C47×#484C411yescharacteristic
20C47×#481C411yescharacteristic
21C47×#478C411yescharacteristic
22C47×#478C411yescharacteristic
23C47×#463C411yescharacteristic
24C47×#463C411yescharacteristic
25C47×#450C411yescharacteristic
26C47×#447C411yescharacteristic
27C47×#446C2211yescharacteristic, complemented
28C8×Q8×C47C2211yescharacteristic, complemented
29C4×SD16×C47C2211yescharacteristic
30C4×SD16×C47C2211yescharacteristic
31C4×D8×C47C2211yescharacteristic
32C4×D8×C47C2211yescharacteristic
33C47×#436—21no—
34C47×#436C2211yescharacteristic
35C47×#436C2211yescharacteristic
36C47×#436C2211yescharacteristic, complemented
37C47×#435—21no—
38C47×#435—21no—
39C47×#435—21no—
40C8×D4×C47C2211yescharacteristic
41C8×D4×C47C2211yescharacteristic
42C8×D4×C47C2211yescharacteristic, complemented
43C47×#433—21no—
44C47×#431C2211yescharacteristic
45C47×#431C2211yescharacteristic
46C47×#431C2211yescharacteristic
47C47×#423C2211yescharacteristic
48C47×#407—21no—
49C47×#405—21no—
50C4×M16×C47C2211yescharacteristic
51C47×#335C2211yescharacteristic, complemented
52C47×#335C2211yescharacteristic, complemented
53C47×#334C2211yescharacteristic, complemented
54C47×#334C2211yescharacteristic, complemented
55C47×Q8⋊C8C2211yescharacteristic, complemented
56C47×Q8⋊C8C2211yescharacteristic, complemented
57C47×D4⋊C8C2211yescharacteristic
58C47×D4⋊C8C2211yescharacteristic
59C47×D4⋊C8C2211yescharacteristic
60C47×D4⋊C8C2211yescharacteristic
61C47×D4⋊C8C2211yescharacteristic, complemented
62C47×D4⋊C8C2211yescharacteristic, complemented
63C47×#322C2211yescharacteristic, complemented
64C47×#322C2211yescharacteristic, complemented
65C47×#322C2211yescharacteristic, complemented
66C82×C47C2211yescharacteristic, complemented
67C22×D4×C47C2×C411yescharacteristic
68C23×C4×C47—21no—
69C2×SD16×C47C2×C411yescharacteristic
70C2×SD16×C47C2×C411yescharacteristic
71C2×D8×C47C2×C411yescharacteristic
72C2×D8×C47C2×C411yescharacteristic
73C2×M16×C47—21no—
74C2×M16×C47—21no—
75C2×M16×C47—21no—
76C2×M16×C47—21no—
77C2×M16×C47—44no—
78C2×M16×C47D411yescharacteristic
79C2×M16×C47D411yescharacteristic
80C22×C8×C47—21no—
81C22×C8×C47—21no—
82C22×C8×C47—21no—
83#126×C47—21no—
84#125×C47C2×C411yescharacteristic
85#124×C47C2×C411yescharacteristic
86#123×C47—21no—
87C22⋊Q8×C47C2×C411yescharacteristic
88#121×C47C2×C411yescharacteristic
89C4×Q8×C47C2311yescharacteristic
90C4×D4×C47—21no—
91C4×D4×C47—21no—
92C4×D4×C47—21no—
93C4×D4×C47C2×C411yescharacteristic
94C4×D4×C47C2×C411yescharacteristic
95C4×D4×C47C2311yescharacteristic
96C4×D4×C47C2311yescharacteristic
97C4×D4×C47C2311yescharacteristic
98#117×C47—21no—
99C2×C4⋊C4×C47C2×C411yescharacteristic
100C2×C22⋊C4×C47—21no—
101C2×C42×C47C2311yescharacteristic
102#107×C47C2×C411yescharacteristic
103#107×C47C2×C411yescharacteristic
104#106×C47C2×C411yescharacteristic
105#106×C47C2×C411yescharacteristic
106C4⋊C8×C47—21no—
107C4⋊C8×C47—21no—
108C4⋊C8×C47—21no—
109C4⋊C8×C47—21no—
110C4⋊C8×C47C2×C411yescharacteristic
111C4⋊C8×C47C2×C411yescharacteristic
112C4⋊C8×C47C2311yescharacteristic
113C4⋊C8×C47C2311yescharacteristic
114C4⋊C8×C47C2311yescharacteristic
115C4⋊C8×C47C2311yescharacteristic
116#103×C47C2×C411yescharacteristic
117#103×C47C2×C411yescharacteristic
118#102×C47C2×C411yescharacteristic
119#102×C47C2×C411yescharacteristic
120#102×C47C2×C411yescharacteristic
121#102×C47C2×C411yescharacteristic
122#102×C47C2×C411yescharacteristic
123#102×C47C2×C411yescharacteristic
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
134#97×C47—21no—
135#97×C47D411yescharacteristic
136#97×C47D411yescharacteristic
137C4×C8×C47—21no—
138C4×C8×C47—21no—
139C4×C8×C47C2311yescharacteristic
140C4×C8×C47C2311yescharacteristic
141C4×C8×C47C2311yescharacteristic
142C4×C8×C47C2311yescharacteristic
143C4×C8×C47C2311yescharacteristic
144C4×C8×C47C2311yescharacteristic
145C24×C47—21no—
146C2×Q8×C47C22×C411yescharacteristic
147C2×D4×C47—22no—
148C2×D4×C47—21no—
149C2×D4×C47—21no—
150C2×D4×C47—41no—
151C2×D4×C47C22×C411yescharacteristic
152C2×D4×C47C22×C411yescharacteristic
153C2×D4×C47C22×C411yescharacteristic
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—42no—
161C22×C4×C47—42no—
162C22×C4×C47C22×C411yescharacteristic
163C22×C4×C47C2×D411yescharacteristic
164C22×C4×C47#4111yescharacteristic
165SD16×C47—22no—
166SD16×C47—41no—
167D8×C47—22no—
168D8×C47—41no—
169M16×C47—22no—
170M16×C47—41no—
171M16×C47—42no—
172M16×C47—42no—
173M16×C47—42no—
174M16×C47—42no—
175C2×C8×C47—21no—
176C2×C8×C47—21no—
177C2×C8×C47—21no—
178C2×C8×C47—21no—
179C2×C8×C47—21no—
180C2×C8×C47—21no—
181C2×C8×C47—42no—
182C2×C8×C47—42no—
183C2×C8×C47—42no—
184C2×C8×C47C22×C411yescharacteristic
185C2×C8×C47C22×C411yescharacteristic
186C2×C8×C47C22×C411yescharacteristic
187C2×C8×C47C22×C411yescharacteristic
188C2×C8×C47C2×D411yescharacteristic
189C2×C8×C47C2×D411yescharacteristic
190C2×C8×C47C2×D411yescharacteristic
191C2×C8×C47C2×D411yescharacteristic
192C4⋊C4×C47—21no—
193C4⋊C4×C47—21no—
194C4⋊C4×C47—21no—
195C4⋊C4×C47—21no—
196C4⋊C4×C47—21no—
197C4⋊C4×C47C22×C411yescharacteristic
198C4⋊C4×C47C22×C411yescharacteristic
199C4⋊C4×C47C22×C411yescharacteristic
200C4⋊C4×C47C22×C411yescharacteristic
201C22⋊C4×C47—21no—
202C22⋊C4×C47—21no—
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—
210C42×C47—21no—
211C42×C47C22×C411yescharacteristic
212C42×C47C2×D411yescharacteristic
213C42×C47#4111yescharacteristic
214C42×C47C2411yescharacteristic
215C23×C47—21no—
216C23×C47—21no—
217C23×C47—21no—
218C23×C47—42no—
219C23×C47—42no—
220C23×C47—81no—
221C23×C47C4×D411yescharacteristic
222Q8×C47—21no—
223Q8×C47—21no—
224D4×C47—21no—
225D4×C47—21no—
226D4×C47—21no—
227D4×C47—21no—
228D4×C47—21no—
229D4×C47—42no—
230D4×C47—81no—
231D4×C47#13112yes—
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—41no—
242C2×C4×C47—42no—
243C2×C4×C47—42no—
244C2×C4×C47—42no—
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×C47C4×D411yescharacteristic
252C2×C4×C47C4×D411yescharacteristic
253C2×C4×C47C4×D411yescharacteristic
254C2×C4×C47C23×C411yescharacteristic
255C2×C4×C47C22×D411yescharacteristic
256C2×C4×C47C2×#4111yescharacteristic
257C8×C47—21no—
258C8×C47—21no—
259C8×C47—21no—
260C8×C47—21no—
261C8×C47—21no—
262C8×C47—21no—
263C8×C47—21no—
264C8×C47—41no—
265C8×C47—41no—
266C8×C47—41no—
267C8×C47—41no—
268C8×C47—41no—
269C8×C47—41no—
270C8×C47AGL(1,ℤ/8)12yes—
271#18006C4711yesmaximal, characteristic, direct product factor, Sylow
272C22×C47—21no—
273C22×C47—22no—
274C22×C47—21no—
275C22×C47—21no—
276C22×C47—41no—
277C22×C47—41no—
278C22×C47—41no—
279C22×C47—41no—
280C22×C47—41no—
281C22×C47—41no—
282C22×C47—41no—
283C22×C47—41no—
284C22×C47—84no—
285C22×C47C2×C4×D411yescharacteristic
286C4×C47—21no—
287C4×C47—21no—
288C4×C47—21no—
289C4×C47—21no—
290C4×C47—41no—
291C4×C47—41no—
292C4×C47—41no—
293C4×C47—41no—
294C4×C47—41no—
295C4×C47C2×#13111yescharacteristic
296C4×C47#56811yescharacteristic
297C4×C47C2×AGL(1,ℤ/8)11yescharacteristic
298C4×C47#57511yescharacteristic
299#3105C2×C4711yescharacteristic
300#2969C2×C4711yescharacteristic, complemented
301D4×M16C2×C4711yescharacteristic, complemented
302#1594C2×C4711yescharacteristic, complemented
303#1590C2×C4711yescharacteristic, complemented
304#1588C2×C4711yescharacteristic, complemented
305#1586C2×C4711yescharacteristic, complemented
306#1582C2×C4711yescharacteristic, complemented
307#1581C2×C4711yescharacteristic, complemented
308SD16⋊C8C2×C4711yescharacteristic, complemented
309C8×D8C2×C4711yescharacteristic, complemented
310#1574C2×C4711yescharacteristic, complemented
311#1495C2×C4711yescharacteristic, complemented
312#1478C2×C4711yescharacteristic, complemented
313#1453C2×C4711yescharacteristic, complemented
314C2×C47—41no—
315C2×C47—42no—
316C2×C47—81no—
317C2×C47—81no—
318C2×C47#293311yescharacteristic
319C2×C47C4×AGL(1,ℤ/8)11yescharacteristic
320C2×C47#295711yescharacteristic
321C22×M16—21no—
322#529C22×C4711yescharacteristic
323C2×C4×D4C22×C4711yescharacteristic
324#484C4×C4711yescharacteristic
325#481C4×C4711yescharacteristic
326#478C4×C4711yescharacteristic
327#478C4×C4711yescharacteristic
328#463C4×C4711yescharacteristic
329#463C4×C4711yescharacteristic
330#450C4×C4711yescharacteristic
331#447C4×C4711yescharacteristic
332#446C22×C4711yescharacteristic, complemented
333C8×Q8C22×C4711yescharacteristic, complemented
334C4×SD16C22×C4711yescharacteristic
335C4×SD16C22×C4711yescharacteristic
336C4×D8C22×C4711yescharacteristic
337C4×D8C22×C4711yescharacteristic
338#436—21no—
339#436C22×C4711yescharacteristic
340#436C22×C4711yescharacteristic
341#436C22×C4711yescharacteristic, complemented
342#435—21no—
343#435—21no—
344#435—21no—
345C8×D4C22×C4711yescharacteristic
346C8×D4C22×C4711yescharacteristic
347C8×D4C22×C4711yescharacteristic, complemented
348#433—21no—
349#431C22×C4711yescharacteristic
350#431C22×C4711yescharacteristic
351#431C22×C4711yescharacteristic
352#423C22×C4711yescharacteristic
353#407—21no—
354#405—21no—
355C4×M16C22×C4711yescharacteristic
356#335C22×C4711yescharacteristic, complemented
357#335C22×C4711yescharacteristic, complemented
358#334C22×C4711yescharacteristic, complemented
359#334C22×C4711yescharacteristic, complemented
360Q8⋊C8C22×C4711yescharacteristic, complemented
361Q8⋊C8C22×C4711yescharacteristic, complemented
362D4⋊C8C22×C4711yescharacteristic
363D4⋊C8C22×C4711yescharacteristic
364D4⋊C8C22×C4711yescharacteristic
365D4⋊C8C22×C4711yescharacteristic
366D4⋊C8C22×C4711yescharacteristic, complemented
367D4⋊C8C22×C4711yescharacteristic, complemented
368#322C22×C4711yescharacteristic, complemented
369#322C22×C4711yescharacteristic, complemented
370#322C22×C4711yescharacteristic, complemented
371C82C22×C4711yescharacteristic, complemented
372C47#1800611yescharacteristic, direct product factor, Sylow
373C22×D4C2×C4×C4711yescharacteristic
374C23×C4—21no—
375C2×SD16C2×C4×C4711yescharacteristic
376C2×SD16C2×C4×C4711yescharacteristic
377C2×D8C2×C4×C4711yescharacteristic
378C2×D8C2×C4×C4711yescharacteristic
379C2×M16—21no—
380C2×M16—21no—
381C2×M16—21no—
382C2×M16—21no—
383C2×M16—44no—
384C2×M16D4×C4711yescharacteristic
385C2×M16D4×C4711yescharacteristic
386C22×C8—21no—
387C22×C8—21no—
388C22×C8—21no—
389#126—21no—
390#125C2×C4×C4711yescharacteristic
391#124C2×C4×C4711yescharacteristic
392#123—21no—
393C22⋊Q8C2×C4×C4711yescharacteristic
394#121C2×C4×C4711yescharacteristic
395C4×Q8C23×C4711yescharacteristic
396C4×D4—21no—
397C4×D4—21no—
398C4×D4—21no—
399C4×D4C2×C4×C4711yescharacteristic
400C4×D4C2×C4×C4711yescharacteristic
401C4×D4C23×C4711yescharacteristic
402C4×D4C23×C4711yescharacteristic
403C4×D4C23×C4711yescharacteristic
404#117—21no—
405C2×C4⋊C4C2×C4×C4711yescharacteristic
406C2×C22⋊C4—21no—
407C2×C42C23×C4711yescharacteristic
408#107C2×C4×C4711yescharacteristic
409#107C2×C4×C4711yescharacteristic
410#106C2×C4×C4711yescharacteristic
411#106C2×C4×C4711yescharacteristic
412C4⋊C8—21no—
413C4⋊C8—21no—
414C4⋊C8—21no—
415C4⋊C8—21no—
416C4⋊C8C2×C4×C4711yescharacteristic
417C4⋊C8C2×C4×C4711yescharacteristic
418C4⋊C8C23×C4711yescharacteristic
419C4⋊C8C23×C4711yescharacteristic
420C4⋊C8C23×C4711yescharacteristic
421C4⋊C8C23×C4711yescharacteristic
422#103C2×C4×C4711yescharacteristic
423#103C2×C4×C4711yescharacteristic
424#102C2×C4×C4711yescharacteristic
425#102C2×C4×C4711yescharacteristic
426#102C2×C4×C4711yescharacteristic
427#102C2×C4×C4711yescharacteristic
428#102C2×C4×C4711yescharacteristic
429#102C2×C4×C4711yescharacteristic
430C22⋊C8—21no—
431C22⋊C8—21no—
432C22⋊C8—21no—
433C22⋊C8—21no—
434C22⋊C8—21no—
435C22⋊C8—21no—
436C22⋊C8—21no—
437C22⋊C8—21no—
438C22⋊C8C2×C4×C4711yescharacteristic
439C22⋊C8C2×C4×C4711yescharacteristic
440#97—21no—
441#97D4×C4711yescharacteristic
442#97D4×C4711yescharacteristic
443C4×C8—21no—
444C4×C8—21no—
445C4×C8C23×C4711yescharacteristic
446C4×C8C23×C4711yescharacteristic
447C4×C8C23×C4711yescharacteristic
448C4×C8C23×C4711yescharacteristic
449C4×C8C23×C4711yescharacteristic
450C4×C8C23×C4711yescharacteristic
451C24—21no—
452C2×Q8C22×C4×C4711yescharacteristic
453C2×D4—22no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—41no—
457C2×D4C22×C4×C4711yescharacteristic
458C2×D4C22×C4×C4711yescharacteristic
459C2×D4C22×C4×C4711yescharacteristic
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4C22×C4×C4711yescharacteristic
469C22×C4C2×D4×C4711yescharacteristic
470C22×C4#41×C4711yescharacteristic
471SD16—22no—
472SD16—41no—
473D8—22no—
474D8—41no—
475M16—22no—
476M16—41no—
477M16—42no—
478M16—42no—
479M16—42no—
480M16—42no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—42no—
488C2×C8—42no—
489C2×C8—42no—
490C2×C8C22×C4×C4711yescharacteristic
491C2×C8C22×C4×C4711yescharacteristic
492C2×C8C22×C4×C4711yescharacteristic
493C2×C8C22×C4×C4711yescharacteristic
494C2×C8C2×D4×C4711yescharacteristic
495C2×C8C2×D4×C4711yescharacteristic
496C2×C8C2×D4×C4711yescharacteristic
497C2×C8C2×D4×C4711yescharacteristic
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4C22×C4×C4711yescharacteristic
504C4⋊C4C22×C4×C4711yescharacteristic
505C4⋊C4C22×C4×C4711yescharacteristic
506C4⋊C4C22×C4×C4711yescharacteristic
507C22⋊C4—21no—
508C22⋊C4—21no—
509C22⋊C4—21no—
510C22⋊C4—21no—
511C22⋊C4—21no—
512C22⋊C4—21no—
513C22⋊C4—21no—
514C22⋊C4—21no—
515C22⋊C4—21no—
516C42—21no—
517C42C22×C4×C4711yescharacteristic
518C42C2×D4×C4711yescharacteristic
519C42#41×C4711yescharacteristic
520C42C24×C4711yescharacteristic
521C23—21no—
522C23—21no—
523C23—21no—
524C23—42no—
525C23—42no—
526C23—81no—
527C23C4×D4×C4711yescharacteristic
528Q8—21no—
529Q8—21no—
530D4—21no—
531D4—21no—
532D4—21no—
533D4—21no—
534D4—21no—
535D4—42no—
536D4—81no—
537D4#131×C4712yes—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—41no—
548C2×C4—42no—
549C2×C4—42no—
550C2×C4—42no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4C4×D4×C4711yescharacteristic
558C2×C4C4×D4×C4711yescharacteristic
559C2×C4C4×D4×C4711yescharacteristic
560C2×C4C23×C4×C4711yescharacteristic
561C2×C4C22×D4×C4711yescharacteristic
562C2×C4C2×#41×C4711yescharacteristic
563C8—21no—
564C8—21no—
565C8—21no—
566C8—21no—
567C8—21no—
568C8—21no—
569C8—21no—
570C8—41no—
571C8—41no—
572C8—41no—
573C8—41no—
574C8—41no—
575C8—41no—
576C8AGL(1,ℤ/8)×C4712yes—
577C22—21no—
578C22—22no—
579C22—21no—
580C22—21no—
581C22—41no—
582C22—41no—
583C22—41no—
584C22—41no—
585C22—41no—
586C22—41no—
587C22—41no—
588C22—41no—
589C22—84no—
590C22C2×C4×D4×C4711yescharacteristic
591C4—21no—
592C4—21no—
593C4—21no—
594C4—21no—
595C4—41no—
596C4—41no—
597C4—41no—
598C4—41no—
599C4—41no—
600C4C2×#131×C4711yescharacteristic
601C4C47×#56811yescharacteristic
602C4C2×AGL(1,ℤ/8)×C4711yescharacteristic
603C4C47×#57511yescharacteristic
604C2—41no—
605C2—42no—
606C2—81no—
607C2—81no—
608C2C47×#293311yescharacteristic
609C2C4×AGL(1,ℤ/8)×C4711yescharacteristic
610C2C47×#295711yescharacteristic
subgroupG/H
centerC2×C4×C47C22×D4
commutatorC2×C4C23×C4×C47
Frattini, cosocleC42C24×C47
socleC22×C47C2×C4×D4
prime radicalC47×#447C4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C47 ◁ C4×M16×C47 ◁ G

Complements

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

NH ≅ G/Ntype
2. C47×#2969C2semidirect
3. D4×M16×C47C2semidirect
4. C47×#1594C2semidirect
5. C47×#1590C2semidirect
6. C47×#1588C2semidirect
7. C47×#1586C2semidirect
8. C47×#1582C2semidirect
9. C47×#1581C2semidirect
10. C47×SD16⋊C8C2semidirect
11. C8×D8×C47C2semidirect
12. C47×#1574C2semidirect
13. C47×#1495C2semidirect
14. C47×#1478C2semidirect
15. C47×#1453C2semidirect
27. C47×#446C22semidirect
28. C8×Q8×C47C22semidirect
36. C47×#436C22semidirect
42. C8×D4×C47C22semidirect
51. C47×#335C22semidirect
52. C47×#335C22semidirect
53. C47×#334C22semidirect
54. C47×#334C22semidirect
55. C47×Q8⋊C8C22semidirect
56. C47×Q8⋊C8C22semidirect
61. C47×D4⋊C8C22semidirect
62. C47×D4⋊C8C22semidirect
63. C47×#322C22semidirect
64. C47×#322C22semidirect
65. C47×#322C22semidirect
66. C82×C47C22semidirect
271. #18006C47direct (N × H)
300. #2969C2×C47semidirect
301. D4×M16C2×C47semidirect
302. #1594C2×C47semidirect
303. #1590C2×C47semidirect
304. #1588C2×C47semidirect
305. #1586C2×C47semidirect
306. #1582C2×C47semidirect
307. #1581C2×C47semidirect
308. SD16⋊C8C2×C47semidirect
309. C8×D8C2×C47semidirect
310. #1574C2×C47semidirect
311. #1495C2×C47semidirect
312. #1478C2×C47semidirect
313. #1453C2×C47semidirect
332. #446C22×C47semidirect
333. C8×Q8C22×C47semidirect
341. #436C22×C47semidirect
347. C8×D4C22×C47semidirect
356. #335C22×C47semidirect
357. #335C22×C47semidirect
358. #334C22×C47semidirect
359. #334C22×C47semidirect
360. Q8⋊C8C22×C47semidirect
361. Q8⋊C8C22×C47semidirect
366. D4⋊C8C22×C47semidirect
367. D4⋊C8C22×C47semidirect
368. #322C22×C47semidirect
369. #322C22×C47semidirect
370. #322C22×C47semidirect
371. C82C22×C47semidirect
372. C47#18006direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#31052
C47×#29692
D4×M16×C472
C47×#15942
C47×#15902
C47×#15882
C47×#15862
C47×#15822
C47×#15812
C47×SD16⋊C82
C8×D8×C472
C47×#15742
C47×#14952
C47×#14782
C47×#14532
#1800647