Finite Group Databasebeta

← C47×#19758 #26059456

Subgroups — C47×#19758 #26059456

Order 12032.

736 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3334C211yesmaximal, characteristic, complemented
2C47×#3294C211yesmaximal, characteristic, complemented
3C47×#3283C211yesmaximal, characteristic, complemented
4C47×#3272C211yesmaximal, characteristic, complemented
5C47×#1722C211yesmaximal, characteristic, complemented
6C47×#1689C211yesmaximal, characteristic, complemented
7C47×#1681C211yesmaximal, characteristic, complemented
8C47×#1673C211yesmaximal, characteristic, complemented
9C47×#1665C211yesmaximal, characteristic, complemented
10C47×#1647C211yesmaximal, characteristic, complemented
11C47×#1647C211yesmaximal, characteristic, complemented
12C47×#1639C211yesmaximal, characteristic, complemented
13C47×#1625C211yesmaximal, characteristic, complemented
14C47×#1581C211yesmaximal, characteristic, complemented
15C47×#1580C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C47—21no—
17C2×#135×C47—21no—
18C47×#547C2211yescharacteristic
19C47×#547C2211yescharacteristic
20C47×#547C2211yescharacteristic, complemented
21D42×C47C2211yescharacteristic
22C47×#500C2211yescharacteristic, complemented
23C47×#500C2211yescharacteristic, complemented
24C47×#494C2211yescharacteristic, complemented
25C47×#492C2211yescharacteristic
26C47×#486C2211yescharacteristic
27C47×#486C2211yescharacteristic
28C47×#480—21no—
29C47×#480—21no—
30C47×#480—21no—
31C47×#474C2211yescharacteristic
32C47×#474C2211yescharacteristic
33C47×#474C2211yescharacteristic, complemented
34C47×#468—21no—
35C47×#467—21no—
36C47×#466—21no—
37C47×#466—21no—
38C47×#461C2211yescharacteristic
39C47×#461C2211yescharacteristic
40C47×#461C2211yescharacteristic, complemented
41C47×#459C2211yescharacteristic
42C47×#459C2211yescharacteristic
43C47×#452—21no—
44C47×#452—21no—
45C47×#450—21no—
46C47×#449—21no—
47C47×#447—21no—
48C4×D8×C47C2211yescharacteristic
49C4×D8×C47C2211yescharacteristic
50C47×#436C2211yescharacteristic
51C8×D4×C47C2211yescharacteristic
52C8×D4×C47C2211yescharacteristic, complemented
53C8×D4×C47C2211yescharacteristic, complemented
54C2×#107×C47—21no—
55C2×#102×C47—21no—
56C47×#335C2211yescharacteristic, complemented
57C47×#334C2211yescharacteristic, complemented
58C47×#332C2211yescharacteristic, complemented
59C47×#332C2211yescharacteristic, complemented
60C47×#332C2211yescharacteristic, complemented
61C47×#331C2211yescharacteristic
62C47×D4⋊C8C2211yescharacteristic
63C47×D4⋊C8C2211yescharacteristic
64C47×D4⋊C8C2211yescharacteristic, complemented
65C47×D4⋊C8C2211yescharacteristic, complemented
66C47×#322C2211yescharacteristic, complemented
67C2×#41×C47—21no—
68C2×#41×C47—21no—
69C2×#41×C47—21no—
70C22×D4×C47—21no—
71C22×D4×C47—21no—
72AGL(1,ℤ/8)×C47—44no—
73#135×C47—44no—
74C2×Q16×C47—21no—
75C2×Q16×C47—21no—
76C2×SD16×C47—21no—
77C2×SD16×C47—21no—
78C2×SD16×C47—21no—
79C2×SD16×C47—21no—
80C2×SD16×C47—21no—
81C2×D8×C47—21no—
82C2×D8×C47—21no—
83C2×D8×C47D411yescharacteristic
84C2×D8×C47D411yescharacteristic
85C2×M16×C47—21no—
86C22×C8×C47—21no—
87C22×C8×C47—21no—
88C22×C8×C47—21no—
89C4⋊Q8×C47C2311yescharacteristic
90C4⋊Q8×C47C2311yescharacteristic
91C4⋊Q8×C47C2311yescharacteristic
92#127×C47C2311yescharacteristic
93#123×C47—41no—
94#123×C47—41no—
95#123×C47—41no—
96C22⋊Q8×C47—21no—
97C22⋊Q8×C47—21no—
98C22⋊Q8×C47—21no—
99#121×C47—21no—
100#121×C47—21no—
101#121×C47—21no—
102#121×C47—21no—
103#121×C47—21no—
104#120×C47—41no—
105C4×D4×C47C2311yescharacteristic
106C4×D4×C47C2311yescharacteristic
107C4×D4×C47C2311yescharacteristic
108C4×D4×C47C2311yescharacteristic
109C2×C4⋊C4×C47—21no—
110C2×C4⋊C4×C47—21no—
111C2×C4⋊C4×C47—21no—
112#107×C47—21no—
113#107×C47—21no—
114#107×C47—21no—
115#107×C47—21no—
116#107×C47—21no—
117#107×C47—41no—
118#107×C47D411yescharacteristic
119#107×C47D411yescharacteristic
120C4⋊C8×C47C2311yescharacteristic
121C4⋊C8×C47C2311yescharacteristic
122C4⋊C8×C47C2311yescharacteristic
123C4⋊C8×C47C2311yescharacteristic
124#103×C47—21no—
125#103×C47—21no—
126#103×C47—21no—
127#102×C47—21no—
128#102×C47—21no—
129#102×C47—21no—
130#102×C47—21no—
131#102×C47—21no—
132#102×C47—21no—
133#102×C47—21no—
134#102×C47—41no—
135#102×C47D411yescharacteristic
136#102×C47D411yescharacteristic
137#102×C47D411yescharacteristic
138#102×C47D411yescharacteristic
139C22⋊C8×C47—21no—
140C22⋊C8×C47—21no—
141C22⋊C8×C47—21no—
142C22⋊C8×C47—21no—
143C4×C8×C47C2311yescharacteristic
144C4×C8×C47C2311yescharacteristic
145C4×C8×C47C2311yescharacteristic
146C24×C47—41no—
147#41×C47—42no—
148#41×C47—42no—
149#41×C47—42no—
150#41×C47—81no—
151#41×C47—81no—
152#41×C47—81no—
153C2×Q8×C47—21no—
154C2×Q8×C47—21no—
155C2×Q8×C47—21no—
156C2×D4×C47—21no—
157C2×D4×C47—21no—
158C2×D4×C47—21no—
159C2×D4×C47—41no—
160C2×D4×C47—41no—
161C2×D4×C47—42no—
162C2×D4×C47—42no—
163C2×D4×C47—41no—
164C2×D4×C47—41no—
165C2×D4×C47—41no—
166C2×D4×C47—81no—
167C2×D4×C47—81no—
168C2×D4×C47C2×D411yescharacteristic
169C2×D4×C47C2×D411yescharacteristic
170C2×D4×C47C2×D411yescharacteristic
171C2×D4×C47C2×D411yescharacteristic
172C22×C4×C47—21no—
173C22×C4×C47—21no—
174C22×C4×C47—21no—
175C22×C4×C47—21no—
176C22×C4×C47—41no—
177C22×C4×C47—41no—
178C22×C4×C47—41no—
179Q16×C47—42no—
180Q16×C47—81no—
181SD16×C47—42no—
182SD16×C47—42no—
183SD16×C47—42no—
184SD16×C47—42no—
185SD16×C47—81no—
186D8×C47—41no—
187D8×C47—42no—
188D8×C47—81no—
189D8×C47D814yescomplemented
190M16×C47—42no—
191C2×C8×C47—21no—
192C2×C8×C47—21no—
193C2×C8×C47—21no—
194C2×C8×C47—21no—
195C2×C8×C47—21no—
196C2×C8×C47—42no—
197C2×C8×C47—42no—
198C2×C8×C47—81no—
199C2×C8×C47C2×D411yescharacteristic
200C2×C8×C47C2×D411yescharacteristic
201C2×C8×C47C2×D411yescharacteristic
202C2×C8×C47C2×D411yescharacteristic
203C4⋊C4×C47—21no—
204C4⋊C4×C47—21no—
205C4⋊C4×C47—21no—
206C4⋊C4×C47—21no—
207C4⋊C4×C47—21no—
208C4⋊C4×C47—21no—
209C4⋊C4×C47—41no—
210C4⋊C4×C47—41no—
211C4⋊C4×C47—41no—
212C4⋊C4×C47C2×D411yescharacteristic
213C4⋊C4×C47C2×D411yescharacteristic
214C4⋊C4×C47C2×D411yescharacteristic
215C4⋊C4×C47C2×D411yescharacteristic
216C22⋊C4×C47—21no—
217C22⋊C4×C47—21no—
218C22⋊C4×C47—21no—
219C22⋊C4×C47—21no—
220C22⋊C4×C47—41no—
221C22⋊C4×C47—41no—
222C22⋊C4×C47—41no—
223C22⋊C4×C47—41no—
224C42×C47C2411yescharacteristic
225C23×C47—21no—
226C23×C47—21no—
227C23×C47—21no—
228C23×C47—21no—
229C23×C47—41no—
230C23×C47—82no—
231C23×C47—82no—
232C23×C47—161no—
233Q8×C47—41no—
234Q8×C47—41no—
235Q8×C47—41no—
236Q8×C47—41no—
237Q8×C47—41no—
238Q8×C47—41no—
239D4×C47—21no—
240D4×C47—21no—
241D4×C47—21no—
242D4×C47—21no—
243D4×C47—21no—
244D4×C47—21no—
245D4×C47—41no—
246D4×C47—41no—
247D4×C47—41no—
248D4×C47—41no—
249D4×C47—81no—
250D4×C47—82no—
251D4×C47—82no—
252D4×C47—82no—
253D4×C47—82no—
254D4×C47—82no—
255D4×C47C2×D812yes—
256D4×C47C2×D812yes—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
259C2×C4×C47—21no—
260C2×C4×C47—21no—
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—82no—
273C2×C4×C47—82no—
274C2×C4×C47—82no—
275C2×C4×C47C22×D411yescharacteristic
276C2×C4×C47C22×D411yescharacteristic
277C2×C4×C47H(5,𝔽2)11yescharacteristic
278C8×C47—21no—
279C8×C47—21no—
280C8×C47—21no—
281C8×C47—41no—
282C8×C47—41no—
283C8×C47—41no—
284C8×C47—41no—
285C8×C47—41no—
286C8×C47C2×D812yes—
287#19758C4711yesmaximal, characteristic, direct product factor, Sylow
288C22×C47—22no—
289C22×C47—22no—
290C22×C47—41no—
291C22×C47—41no—
292C22×C47—41no—
293C22×C47—41no—
294C22×C47—41no—
295C22×C47—41no—
296C22×C47—41no—
297C22×C47—41no—
298C22×C47—41no—
299C22×C47—41no—
300C22×C47—81no—
301C22×C47—81no—
302C22×C47—81no—
303C22×C47—164no—
304C22×C47D4211yescharacteristic
305C4×C47—21no—
306C4×C47—41no—
307C4×C47—41no—
308C4×C47—41no—
309C4×C47—41no—
310C4×C47—81no—
311C4×C47—81no—
312C4×C47—81no—
313C4×C47C22×D811yescharacteristic
314C4×C47#57511yescharacteristic
315C4×C47#57611yescharacteristic
316C4×C47#57711yescharacteristic
317#3334C2×C4711yescharacteristic, complemented
318#3294C2×C4711yescharacteristic, complemented
319#3283C2×C4711yescharacteristic, complemented
320#3272C2×C4711yescharacteristic, complemented
321#1722C2×C4711yescharacteristic, complemented
322#1689C2×C4711yescharacteristic, complemented
323#1681C2×C4711yescharacteristic, complemented
324#1673C2×C4711yescharacteristic, complemented
325#1665C2×C4711yescharacteristic, complemented
326#1647C2×C4711yescharacteristic, complemented
327#1647C2×C4711yescharacteristic, complemented
328#1639C2×C4711yescharacteristic, complemented
329#1625C2×C4711yescharacteristic, complemented
330#1581C2×C4711yescharacteristic, complemented
331#1580C2×C4711yescharacteristic, complemented
332C2×C47—42no—
333C2×C47—42no—
334C2×C47—81no—
335C2×C47—81no—
336C2×C47—161no—
337C2×C47#326711yescharacteristic
338C2×C47D4×D811yescharacteristic
339C2×C47#328911yescharacteristic
340C2×AGL(1,ℤ/8)—21no—
341C2×#135—21no—
342#547C22×C4711yescharacteristic
343#547C22×C4711yescharacteristic
344#547C22×C4711yescharacteristic, complemented
345D42C22×C4711yescharacteristic
346#500C22×C4711yescharacteristic, complemented
347#500C22×C4711yescharacteristic, complemented
348#494C22×C4711yescharacteristic, complemented
349#492C22×C4711yescharacteristic
350#486C22×C4711yescharacteristic
351#486C22×C4711yescharacteristic
352#480—21no—
353#480—21no—
354#480—21no—
355#474C22×C4711yescharacteristic
356#474C22×C4711yescharacteristic
357#474C22×C4711yescharacteristic, complemented
358#468—21no—
359#467—21no—
360#466—21no—
361#466—21no—
362#461C22×C4711yescharacteristic
363#461C22×C4711yescharacteristic
364#461C22×C4711yescharacteristic, complemented
365#459C22×C4711yescharacteristic
366#459C22×C4711yescharacteristic
367#452—21no—
368#452—21no—
369#450—21no—
370#449—21no—
371#447—21no—
372C4×D8C22×C4711yescharacteristic
373C4×D8C22×C4711yescharacteristic
374#436C22×C4711yescharacteristic
375C8×D4C22×C4711yescharacteristic
376C8×D4C22×C4711yescharacteristic, complemented
377C8×D4C22×C4711yescharacteristic, complemented
378C2×#107—21no—
379C2×#102—21no—
380#335C22×C4711yescharacteristic, complemented
381#334C22×C4711yescharacteristic, complemented
382#332C22×C4711yescharacteristic, complemented
383#332C22×C4711yescharacteristic, complemented
384#332C22×C4711yescharacteristic, complemented
385#331C22×C4711yescharacteristic
386D4⋊C8C22×C4711yescharacteristic
387D4⋊C8C22×C4711yescharacteristic
388D4⋊C8C22×C4711yescharacteristic, complemented
389D4⋊C8C22×C4711yescharacteristic, complemented
390#322C22×C4711yescharacteristic, complemented
391C47#1975811yescharacteristic, direct product factor, Sylow
392C2×#41—21no—
393C2×#41—21no—
394C2×#41—21no—
395C22×D4—21no—
396C22×D4—21no—
397AGL(1,ℤ/8)—44no—
398#135—44no—
399C2×Q16—21no—
400C2×Q16—21no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16—21no—
406C2×D8—21no—
407C2×D8—21no—
408C2×D8D4×C4711yescharacteristic
409C2×D8D4×C4711yescharacteristic
410C2×M16—21no—
411C22×C8—21no—
412C22×C8—21no—
413C22×C8—21no—
414C4⋊Q8C23×C4711yescharacteristic
415C4⋊Q8C23×C4711yescharacteristic
416C4⋊Q8C23×C4711yescharacteristic
417#127C23×C4711yescharacteristic
418#123—41no—
419#123—41no—
420#123—41no—
421C22⋊Q8—21no—
422C22⋊Q8—21no—
423C22⋊Q8—21no—
424#121—21no—
425#121—21no—
426#121—21no—
427#121—21no—
428#121—21no—
429#120—41no—
430C4×D4C23×C4711yescharacteristic
431C4×D4C23×C4711yescharacteristic
432C4×D4C23×C4711yescharacteristic
433C4×D4C23×C4711yescharacteristic
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437#107—21no—
438#107—21no—
439#107—21no—
440#107—21no—
441#107—21no—
442#107—41no—
443#107D4×C4711yescharacteristic
444#107D4×C4711yescharacteristic
445C4⋊C8C23×C4711yescharacteristic
446C4⋊C8C23×C4711yescharacteristic
447C4⋊C8C23×C4711yescharacteristic
448C4⋊C8C23×C4711yescharacteristic
449#103—21no—
450#103—21no—
451#103—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—41no—
460#102D4×C4711yescharacteristic
461#102D4×C4711yescharacteristic
462#102D4×C4711yescharacteristic
463#102D4×C4711yescharacteristic
464C22⋊C8—21no—
465C22⋊C8—21no—
466C22⋊C8—21no—
467C22⋊C8—21no—
468C4×C8C23×C4711yescharacteristic
469C4×C8C23×C4711yescharacteristic
470C4×C8C23×C4711yescharacteristic
471C24—41no—
472#41—42no—
473#41—42no—
474#41—42no—
475#41—81no—
476#41—81no—
477#41—81no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—81no—
492C2×D4—81no—
493C2×D4C2×D4×C4711yescharacteristic
494C2×D4C2×D4×C4711yescharacteristic
495C2×D4C2×D4×C4711yescharacteristic
496C2×D4C2×D4×C4711yescharacteristic
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504Q16—42no—
505Q16—81no—
506SD16—42no—
507SD16—42no—
508SD16—42no—
509SD16—42no—
510SD16—81no—
511D8—41no—
512D8—42no—
513D8—81no—
514D8D8×C4714yescomplemented
515M16—42no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—42no—
522C2×C8—42no—
523C2×C8—81no—
524C2×C8C2×D4×C4711yescharacteristic
525C2×C8C2×D4×C4711yescharacteristic
526C2×C8C2×D4×C4711yescharacteristic
527C2×C8C2×D4×C4711yescharacteristic
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—41no—
535C4⋊C4—41no—
536C4⋊C4—41no—
537C4⋊C4C2×D4×C4711yescharacteristic
538C4⋊C4C2×D4×C4711yescharacteristic
539C4⋊C4C2×D4×C4711yescharacteristic
540C4⋊C4C2×D4×C4711yescharacteristic
541C22⋊C4—21no—
542C22⋊C4—21no—
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C42C24×C4711yescharacteristic
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—41no—
555C23—82no—
556C23—82no—
557C23—161no—
558Q8—41no—
559Q8—41no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563Q8—41no—
564D4—21no—
565D4—21no—
566D4—21no—
567D4—21no—
568D4—21no—
569D4—21no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—81no—
575D4—82no—
576D4—82no—
577D4—82no—
578D4—82no—
579D4—82no—
580D4C2×D8×C4712yes—
581D4C2×D8×C4712yes—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—41no—
587C2×C4—41no—
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—82no—
598C2×C4—82no—
599C2×C4—82no—
600C2×C4C22×D4×C4711yescharacteristic
601C2×C4C22×D4×C4711yescharacteristic
602C2×C4H(5,𝔽2)×C4711yescharacteristic
603C8—21no—
604C8—21no—
605C8—21no—
606C8—41no—
607C8—41no—
608C8—41no—
609C8—41no—
610C8—41no—
611C8C2×D8×C4712yes—
612C22—22no—
613C22—22no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—164no—
628C22D42×C4711yescharacteristic
629C4—21no—
630C4—41no—
631C4—41no—
632C4—41no—
633C4—41no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4C22×D8×C4711yescharacteristic
638C4C47×#57511yescharacteristic
639C4C47×#57611yescharacteristic
640C4C47×#57711yescharacteristic
641C2—42no—
642C2—42no—
643C2—81no—
644C2—81no—
645C2—161no—
646C2C47×#326711yescharacteristic
647C2D4×D8×C4711yescharacteristic
648C2C47×#328911yescharacteristic
subgroupG/H
center, socleC22×C47D42
commutator, Frattini, cosocleC42C24×C47
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C47 ◁ C42×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3334C2semidirect
2. C47×#3294C2semidirect
3. C47×#3283C2semidirect
4. C47×#3272C2semidirect
5. C47×#1722C2semidirect
6. C47×#1689C2semidirect
7. C47×#1681C2semidirect
8. C47×#1673C2semidirect
9. C47×#1665C2semidirect
10. C47×#1647C2semidirect
11. C47×#1647C2semidirect
12. C47×#1639C2semidirect
13. C47×#1625C2semidirect
14. C47×#1581C2semidirect
15. C47×#1580C2semidirect
20. C47×#547C22semidirect
22. C47×#500C22semidirect
23. C47×#500C22semidirect
24. C47×#494C22semidirect
33. C47×#474C22semidirect
40. C47×#461C22semidirect
52. C8×D4×C47C22semidirect
53. C8×D4×C47C22semidirect
56. C47×#335C22semidirect
57. C47×#334C22semidirect
58. C47×#332C22semidirect
59. C47×#332C22semidirect
60. C47×#332C22semidirect
64. C47×D4⋊C8C22semidirect
65. C47×D4⋊C8C22semidirect
66. C47×#322C22semidirect
189. D8×C47D8semidirect
287. #19758C47direct (N × H)
317. #3334C2×C47semidirect
318. #3294C2×C47semidirect
319. #3283C2×C47semidirect
320. #3272C2×C47semidirect
321. #1722C2×C47semidirect
322. #1689C2×C47semidirect
323. #1681C2×C47semidirect
324. #1673C2×C47semidirect
325. #1665C2×C47semidirect
326. #1647C2×C47semidirect
327. #1647C2×C47semidirect
328. #1639C2×C47semidirect
329. #1625C2×C47semidirect
330. #1581C2×C47semidirect
331. #1580C2×C47semidirect
344. #547C22×C47semidirect
346. #500C22×C47semidirect
347. #500C22×C47semidirect
348. #494C22×C47semidirect
357. #474C22×C47semidirect
364. #461C22×C47semidirect
376. C8×D4C22×C47semidirect
377. C8×D4C22×C47semidirect
380. #335C22×C47semidirect
381. #334C22×C47semidirect
382. #332C22×C47semidirect
383. #332C22×C47semidirect
384. #332C22×C47semidirect
388. D4⋊C8C22×C47semidirect
389. D4⋊C8C22×C47semidirect
390. #322C22×C47semidirect
391. C47#19758direct (N × H)
514. D8D8×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#33342
C47×#32942
C47×#32832
C47×#32722
C47×#17222
C47×#16892
C47×#16812
C47×#16732
C47×#16652
C47×#16472
C47×#16392
C47×#16252
C47×#15812
C47×#15802
#1975847