Finite Group Databasebeta

← C47×#19755 #26059453

Subgroups — C47×#19755 #26059453

Order 12032.

842 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3294C211yesmaximal, characteristic, complemented
2D4×D8×C47C211yesmaximal, characteristic, complemented
3D4×D8×C47C211yesmaximal, characteristic, complemented
4C47×#3272C211yesmaximal, characteristic, complemented
5C47×#1721C211yesmaximal, characteristic, complemented
6C47×#1687C211yesmaximal, characteristic, complemented
7C47×#1681C211yesmaximal, characteristic, complemented
8C47×#1667C211yesmaximal, characteristic, complemented
9C47×#1665C211yesmaximal, characteristic, complemented
10C47×#1639C211yesmaximal, characteristic, complemented
11C47×#1625C211yesmaximal, characteristic, complemented
12C47×#1619C211yesmaximal, characteristic, complemented
13C47×#1619C211yesmaximal, characteristic, complemented
14C47×#1581C211yesmaximal, characteristic, complemented
15C47×#1580C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C47—21no—
17C22×D8×C47—21no—
18C22×D8×C47—21no—
19C47×#547C2211yescharacteristic, complemented
20D42×C47C2211yescharacteristic
21D42×C47C2211yescharacteristic, complemented
22D42×C47C2211yescharacteristic, complemented
23C47×#493C2211yescharacteristic, complemented
24C47×#493C2211yescharacteristic, complemented
25C47×#493C2211yescharacteristic, complemented
26C47×#492C2211yescharacteristic, complemented
27C47×#486C2211yescharacteristic, complemented
28C47×#486C2211yescharacteristic, complemented
29C47×#480—21no—
30C47×#474C2211yescharacteristic, complemented
31C47×#468—21no—
32C47×#466—21no—
33C47×#466—21no—
34C47×#466—21no—
35C47×#461C2211yescharacteristic, complemented
36C47×#459C2211yescharacteristic
37C47×#459C2211yescharacteristic
38C47×#459C2211yescharacteristic, complemented
39C47×#459C2211yescharacteristic, complemented
40C47×#459C2211yescharacteristic, complemented
41C47×#459C2211yescharacteristic, complemented
42C47×#450—21no—
43C47×#449—21no—
44C47×#447—21no—
45C47×#447—21no—
46C47×#447—21no—
47C47×#447—21no—
48C47×#447—21no—
49C4×D8×C47C2211yescharacteristic
50C4×D8×C47C2211yescharacteristic
51C47×#436C2211yescharacteristic, complemented
52C8×D4×C47C2211yescharacteristic, complemented
53C8×D4×C47C2211yescharacteristic, complemented
54C8×D4×C47C2211yescharacteristic, complemented
55C2×#102×C47—21no—
56C47×#335C2211yescharacteristic, complemented
57C47×#334C2211yescharacteristic, complemented
58C47×#332C2211yescharacteristic, complemented
59C47×#331C2211yescharacteristic, complemented
60C47×#331C2211yescharacteristic, complemented
61C47×#331C2211yescharacteristic, complemented
62C47×D4⋊C8C2211yescharacteristic, complemented
63C47×D4⋊C8C2211yescharacteristic, complemented
64C47×D4⋊C8C2211yescharacteristic, complemented
65C47×D4⋊C8C2211yescharacteristic, complemented
66C47×#322C2211yescharacteristic, complemented
67C2×#41×C47—21no—
68C22×D4×C47—21no—
69C22×D4×C47—21no—
70C22×D4×C47—21no—
71C22×D4×C47—21no—
72C22×D4×C47—21no—
73C22×D4×C47—21no—
74AGL(1,ℤ/8)×C47—44no—
75C2×SD16×C47—21no—
76C2×SD16×C47—21no—
77C2×SD16×C47—21no—
78C2×D8×C47—21no—
79C2×D8×C47—21no—
80C2×D8×C47—21no—
81C2×D8×C47—21no—
82C2×D8×C47—21no—
83C2×D8×C47—21no—
84C2×D8×C47—21no—
85C2×D8×C47—21no—
86C2×D8×C47—21no—
87C2×D8×C47—21no—
88C2×D8×C47—41no—
89C2×D8×C47—44no—
90C2×D8×C47—44no—
91C2×D8×C47D411yescharacteristic
92C2×D8×C47D411yescharacteristic
93C2×M16×C47—21no—
94C22×C8×C47—21no—
95C22×C8×C47—21no—
96C22×C8×C47—21no—
97C4⋊Q8×C47C2311yescharacteristic
98#127×C47C2311yescharacteristic
99#127×C47C2311yescharacteristic
100#127×C47C2311yescharacteristic
101#123×C47—41no—
102C22⋊Q8×C47—21no—
103#121×C47—21no—
104#121×C47—21no—
105#121×C47—21no—
106#121×C47—21no—
107#121×C47—21no—
108#121×C47—21no—
109#121×C47—21no—
110#120×C47—41no—
111#120×C47—41no—
112#120×C47—41no—
113C4×D4×C47C2311yescharacteristic
114C4×D4×C47C2311yescharacteristic
115C4×D4×C47C2311yescharacteristic
116C4×D4×C47C2311yescharacteristic
117C2×C4⋊C4×C47—21no—
118#107×C47—21no—
119#107×C47D411yescharacteristic
120#107×C47D411yescharacteristic
121C4⋊C8×C47C2311yescharacteristic
122C4⋊C8×C47C2311yescharacteristic
123C4⋊C8×C47C2311yescharacteristic
124C4⋊C8×C47C2311yescharacteristic
125#103×C47—21no—
126#102×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—21no—
135#102×C47—41no—
136#102×C47D411yescharacteristic
137#102×C47D411yescharacteristic
138#102×C47D411yescharacteristic
139#102×C47D411yescharacteristic
140C22⋊C8×C47—21no—
141C22⋊C8×C47—21no—
142C22⋊C8×C47—21no—
143C22⋊C8×C47—21no—
144C4×C8×C47C2311yescharacteristic
145C4×C8×C47C2311yescharacteristic
146C4×C8×C47C2311yescharacteristic
147C24×C47—41no—
148C24×C47—41no—
149C24×C47—41no—
150#41×C47—42no—
151#41×C47—81no—
152C2×Q8×C47—21no—
153C2×D4×C47—21no—
154C2×D4×C47—21no—
155C2×D4×C47—21no—
156C2×D4×C47—21no—
157C2×D4×C47—21no—
158C2×D4×C47—21no—
159C2×D4×C47—21no—
160C2×D4×C47—21no—
161C2×D4×C47—21no—
162C2×D4×C47—41no—
163C2×D4×C47—41no—
164C2×D4×C47—41no—
165C2×D4×C47—41no—
166C2×D4×C47—41no—
167C2×D4×C47—41no—
168C2×D4×C47—42no—
169C2×D4×C47—42no—
170C2×D4×C47—42no—
171C2×D4×C47—42no—
172C2×D4×C47—42no—
173C2×D4×C47—42no—
174C2×D4×C47—41no—
175C2×D4×C47—81no—
176C2×D4×C47—81no—
177C2×D4×C47—81no—
178C2×D4×C47—81no—
179C2×D4×C47—81no—
180C2×D4×C47—81no—
181C2×D4×C47C2×D411yescharacteristic
182C2×D4×C47C2×D411yescharacteristic
183C2×D4×C47C2×D411yescharacteristic
184C2×D4×C47C2×D411yescharacteristic
185C22×C4×C47—21no—
186C22×C4×C47—21no—
187C22×C4×C47—21no—
188C22×C4×C47—21no—
189C22×C4×C47—41no—
190SD16×C47—42no—
191SD16×C47—42no—
192SD16×C47—81no—
193D8×C47—22no—
194D8×C47—42no—
195D8×C47—42no—
196D8×C47—42no—
197D8×C47—42no—
198D8×C47—42no—
199D8×C47—42no—
200D8×C47—42no—
201D8×C47—81no—
202D8×C47—81no—
203D8×C47—81no—
204D8×C47—82no—
205D8×C47D814yescomplemented
206M16×C47—42no—
207C2×C8×C47—21no—
208C2×C8×C47—21no—
209C2×C8×C47—21no—
210C2×C8×C47—21no—
211C2×C8×C47—21no—
212C2×C8×C47—42no—
213C2×C8×C47—42no—
214C2×C8×C47—81no—
215C2×C8×C47C2×D411yescharacteristic
216C2×C8×C47C2×D411yescharacteristic
217C2×C8×C47C2×D411yescharacteristic
218C2×C8×C47C2×D411yescharacteristic
219C4⋊C4×C47—21no—
220C4⋊C4×C47—21no—
221C4⋊C4×C47—41no—
222C4⋊C4×C47C2×D411yescharacteristic
223C4⋊C4×C47C2×D411yescharacteristic
224C4⋊C4×C47C2×D411yescharacteristic
225C4⋊C4×C47C2×D411yescharacteristic
226C22⋊C4×C47—21no—
227C22⋊C4×C47—21no—
228C22⋊C4×C47—21no—
229C22⋊C4×C47—21no—
230C22⋊C4×C47—41no—
231C22⋊C4×C47—41no—
232C22⋊C4×C47—41no—
233C22⋊C4×C47—41no—
234C42×C47C2411yescharacteristic
235C23×C47—21no—
236C23×C47—21no—
237C23×C47—21no—
238C23×C47—21no—
239C23×C47—41no—
240C23×C47—41no—
241C23×C47—41no—
242C23×C47—82no—
243C23×C47—82no—
244C23×C47—82no—
245C23×C47—82no—
246C23×C47—82no—
247C23×C47—82no—
248C23×C47—161no—
249C23×C47—161no—
250C23×C47—161no—
251Q8×C47—41no—
252Q8×C47—41no—
253D4×C47—21no—
254D4×C47—21no—
255D4×C47—21no—
256D4×C47—21no—
257D4×C47—21no—
258D4×C47—41no—
259D4×C47—41no—
260D4×C47—41no—
261D4×C47—41no—
262D4×C47—41no—
263D4×C47—41no—
264D4×C47—41no—
265D4×C47—41no—
266D4×C47—41no—
267D4×C47—41no—
268D4×C47—41no—
269D4×C47—41no—
270D4×C47—81no—
271D4×C47—81no—
272D4×C47—81no—
273D4×C47—82no—
274D4×C47—82no—
275D4×C47—82no—
276D4×C47—82no—
277D4×C47—82no—
278D4×C47—82no—
279D4×C47—82no—
280D4×C47C2×D812yes—
281D4×C47C2×D812yescomplemented
282D4×C47AGL(1,ℤ/8)12yescomplemented
283C2×C4×C47—21no—
284C2×C4×C47—21no—
285C2×C4×C47—21no—
286C2×C4×C47—21no—
287C2×C4×C47—41no—
288C2×C4×C47—41no—
289C2×C4×C47—41no—
290C2×C4×C47—41no—
291C2×C4×C47—41no—
292C2×C4×C47—41no—
293C2×C4×C47—41no—
294C2×C4×C47—41no—
295C2×C4×C47—41no—
296C2×C4×C47—82no—
297C2×C4×C47C22×D411yescharacteristic
298C2×C4×C47C22×D411yescharacteristic
299C2×C4×C47H(5,𝔽2)11yescharacteristic
300C8×C47—21no—
301C8×C47—21no—
302C8×C47—21no—
303C8×C47—41no—
304C8×C47—41no—
305C8×C47—41no—
306C8×C47—41no—
307C8×C47—41no—
308C8×C47C2×D812yescomplemented
309#19755C4711yesmaximal, characteristic, direct product factor, Sylow
310C22×C47—22no—
311C22×C47—22no—
312C22×C47—22no—
313C22×C47—41no—
314C22×C47—41no—
315C22×C47—41no—
316C22×C47—41no—
317C22×C47—41no—
318C22×C47—41no—
319C22×C47—41no—
320C22×C47—41no—
321C22×C47—41no—
322C22×C47—81no—
323C22×C47—81no—
324C22×C47—81no—
325C22×C47—81no—
326C22×C47—81no—
327C22×C47—81no—
328C22×C47—81no—
329C22×C47—81no—
330C22×C47—81no—
331C22×C47—164no—
332C22×C47—164no—
333C22×C47—164no—
334C22×C47D4211yescharacteristic
335C4×C47—21no—
336C4×C47—41no—
337C4×C47—41no—
338C4×C47—41no—
339C4×C47—41no—
340C4×C47—81no—
341C4×C47C22×D811yescharacteristic
342C4×C47C2×AGL(1,ℤ/8)11yescharacteristic
343C4×C47#57611yescharacteristic
344C4×C47#57611yescharacteristic
345#3294C2×C4711yescharacteristic, complemented
346D4×D8C2×C4711yescharacteristic, complemented
347D4×D8C2×C4711yescharacteristic, complemented
348#3272C2×C4711yescharacteristic, complemented
349#1721C2×C4711yescharacteristic, complemented
350#1687C2×C4711yescharacteristic, complemented
351#1681C2×C4711yescharacteristic, complemented
352#1667C2×C4711yescharacteristic, complemented
353#1665C2×C4711yescharacteristic, complemented
354#1639C2×C4711yescharacteristic, complemented
355#1625C2×C4711yescharacteristic, complemented
356#1619C2×C4711yescharacteristic, complemented
357#1619C2×C4711yescharacteristic, complemented
358#1581C2×C4711yescharacteristic, complemented
359#1580C2×C4711yescharacteristic, complemented
360C2×C47—42no—
361C2×C47—42no—
362C2×C47—42no—
363C2×C47—81no—
364C2×C47—161no—
365C2×C47—161no—
366C2×C47—161no—
367C2×C47#326411yescharacteristic
368C2×C47D4×D811yescharacteristic
369C2×C47#328811yescharacteristic
370C2×AGL(1,ℤ/8)—21no—
371C22×D8—21no—
372C22×D8—21no—
373#547C22×C4711yescharacteristic, complemented
374D42C22×C4711yescharacteristic
375D42C22×C4711yescharacteristic, complemented
376D42C22×C4711yescharacteristic, complemented
377#493C22×C4711yescharacteristic, complemented
378#493C22×C4711yescharacteristic, complemented
379#493C22×C4711yescharacteristic, complemented
380#492C22×C4711yescharacteristic, complemented
381#486C22×C4711yescharacteristic, complemented
382#486C22×C4711yescharacteristic, complemented
383#480—21no—
384#474C22×C4711yescharacteristic, complemented
385#468—21no—
386#466—21no—
387#466—21no—
388#466—21no—
389#461C22×C4711yescharacteristic, complemented
390#459C22×C4711yescharacteristic
391#459C22×C4711yescharacteristic
392#459C22×C4711yescharacteristic, complemented
393#459C22×C4711yescharacteristic, complemented
394#459C22×C4711yescharacteristic, complemented
395#459C22×C4711yescharacteristic, complemented
396#450—21no—
397#449—21no—
398#447—21no—
399#447—21no—
400#447—21no—
401#447—21no—
402#447—21no—
403C4×D8C22×C4711yescharacteristic
404C4×D8C22×C4711yescharacteristic
405#436C22×C4711yescharacteristic, complemented
406C8×D4C22×C4711yescharacteristic, complemented
407C8×D4C22×C4711yescharacteristic, complemented
408C8×D4C22×C4711yescharacteristic, complemented
409C2×#102—21no—
410#335C22×C4711yescharacteristic, complemented
411#334C22×C4711yescharacteristic, complemented
412#332C22×C4711yescharacteristic, complemented
413#331C22×C4711yescharacteristic, complemented
414#331C22×C4711yescharacteristic, complemented
415#331C22×C4711yescharacteristic, complemented
416D4⋊C8C22×C4711yescharacteristic, complemented
417D4⋊C8C22×C4711yescharacteristic, complemented
418D4⋊C8C22×C4711yescharacteristic, complemented
419D4⋊C8C22×C4711yescharacteristic, complemented
420#322C22×C4711yescharacteristic, complemented
421C47#1975511yescharacteristic, direct product factor, Sylow
422C2×#41—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—21no—
428C22×D4—21no—
429AGL(1,ℤ/8)—44no—
430C2×SD16—21no—
431C2×SD16—21no—
432C2×SD16—21no—
433C2×D8—21no—
434C2×D8—21no—
435C2×D8—21no—
436C2×D8—21no—
437C2×D8—21no—
438C2×D8—21no—
439C2×D8—21no—
440C2×D8—21no—
441C2×D8—21no—
442C2×D8—21no—
443C2×D8—41no—
444C2×D8—44no—
445C2×D8—44no—
446C2×D8D4×C4711yescharacteristic
447C2×D8D4×C4711yescharacteristic
448C2×M16—21no—
449C22×C8—21no—
450C22×C8—21no—
451C22×C8—21no—
452C4⋊Q8C23×C4711yescharacteristic
453#127C23×C4711yescharacteristic
454#127C23×C4711yescharacteristic
455#127C23×C4711yescharacteristic
456#123—41no—
457C22⋊Q8—21no—
458#121—21no—
459#121—21no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#120—41no—
466#120—41no—
467#120—41no—
468C4×D4C23×C4711yescharacteristic
469C4×D4C23×C4711yescharacteristic
470C4×D4C23×C4711yescharacteristic
471C4×D4C23×C4711yescharacteristic
472C2×C4⋊C4—21no—
473#107—21no—
474#107D4×C4711yescharacteristic
475#107D4×C4711yescharacteristic
476C4⋊C8C23×C4711yescharacteristic
477C4⋊C8C23×C4711yescharacteristic
478C4⋊C8C23×C4711yescharacteristic
479C4⋊C8C23×C4711yescharacteristic
480#103—21no—
481#102—21no—
482#102—21no—
483#102—21no—
484#102—21no—
485#102—21no—
486#102—21no—
487#102—21no—
488#102—21no—
489#102—21no—
490#102—41no—
491#102D4×C4711yescharacteristic
492#102D4×C4711yescharacteristic
493#102D4×C4711yescharacteristic
494#102D4×C4711yescharacteristic
495C22⋊C8—21no—
496C22⋊C8—21no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C4×C8C23×C4711yescharacteristic
500C4×C8C23×C4711yescharacteristic
501C4×C8C23×C4711yescharacteristic
502C24—41no—
503C24—41no—
504C24—41no—
505#41—42no—
506#41—81no—
507C2×Q8—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—41no—
520C2×D4—41no—
521C2×D4—41no—
522C2×D4—41no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—41no—
530C2×D4—81no—
531C2×D4—81no—
532C2×D4—81no—
533C2×D4—81no—
534C2×D4—81no—
535C2×D4—81no—
536C2×D4C2×D4×C4711yescharacteristic
537C2×D4C2×D4×C4711yescharacteristic
538C2×D4C2×D4×C4711yescharacteristic
539C2×D4C2×D4×C4711yescharacteristic
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—41no—
545SD16—42no—
546SD16—42no—
547SD16—81no—
548D8—22no—
549D8—42no—
550D8—42no—
551D8—42no—
552D8—42no—
553D8—42no—
554D8—42no—
555D8—42no—
556D8—81no—
557D8—81no—
558D8—81no—
559D8—82no—
560D8D8×C4714yescomplemented
561M16—42no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—42no—
568C2×C8—42no—
569C2×C8—81no—
570C2×C8C2×D4×C4711yescharacteristic
571C2×C8C2×D4×C4711yescharacteristic
572C2×C8C2×D4×C4711yescharacteristic
573C2×C8C2×D4×C4711yescharacteristic
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—41no—
577C4⋊C4C2×D4×C4711yescharacteristic
578C4⋊C4C2×D4×C4711yescharacteristic
579C4⋊C4C2×D4×C4711yescharacteristic
580C4⋊C4C2×D4×C4711yescharacteristic
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C42C24×C4711yescharacteristic
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—82no—
598C23—82no—
599C23—82no—
600C23—82no—
601C23—82no—
602C23—82no—
603C23—161no—
604C23—161no—
605C23—161no—
606Q8—41no—
607Q8—41no—
608D4—21no—
609D4—21no—
610D4—21no—
611D4—21no—
612D4—21no—
613D4—41no—
614D4—41no—
615D4—41no—
616D4—41no—
617D4—41no—
618D4—41no—
619D4—41no—
620D4—41no—
621D4—41no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—81no—
626D4—81no—
627D4—81no—
628D4—82no—
629D4—82no—
630D4—82no—
631D4—82no—
632D4—82no—
633D4—82no—
634D4—82no—
635D4C2×D8×C4712yes—
636D4C2×D8×C4712yescomplemented
637D4AGL(1,ℤ/8)×C4712yescomplemented
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—82no—
652C2×C4C22×D4×C4711yescharacteristic
653C2×C4C22×D4×C4711yescharacteristic
654C2×C4H(5,𝔽2)×C4711yescharacteristic
655C8—21no—
656C8—21no—
657C8—21no—
658C8—41no—
659C8—41no—
660C8—41no—
661C8—41no—
662C8—41no—
663C8C2×D8×C4712yescomplemented
664C22—22no—
665C22—22no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—164no—
686C22—164no—
687C22—164no—
688C22D42×C4711yescharacteristic
689C4—21no—
690C4—41no—
691C4—41no—
692C4—41no—
693C4—41no—
694C4—81no—
695C4C22×D8×C4711yescharacteristic
696C4C2×AGL(1,ℤ/8)×C4711yescharacteristic
697C4C47×#57611yescharacteristic
698C4C47×#57611yescharacteristic
699C2—42no—
700C2—42no—
701C2—42no—
702C2—81no—
703C2—161no—
704C2—161no—
705C2—161no—
706C2C47×#326411yescharacteristic
707C2D4×D8×C4711yescharacteristic
708C2C47×#328811yescharacteristic
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×#3294C2semidirect
2. D4×D8×C47C2semidirect
3. D4×D8×C47C2semidirect
4. C47×#3272C2semidirect
5. C47×#1721C2semidirect
6. C47×#1687C2semidirect
7. C47×#1681C2semidirect
8. C47×#1667C2semidirect
9. C47×#1665C2semidirect
10. C47×#1639C2semidirect
11. C47×#1625C2semidirect
12. C47×#1619C2semidirect
13. C47×#1619C2semidirect
14. C47×#1581C2semidirect
15. C47×#1580C2semidirect
19. C47×#547C22semidirect
21. D42×C47C22semidirect
22. D42×C47C22semidirect
23. C47×#493C22semidirect
24. C47×#493C22semidirect
25. C47×#493C22semidirect
26. C47×#492C22semidirect
27. C47×#486C22semidirect
28. C47×#486C22semidirect
30. C47×#474C22semidirect
35. C47×#461C22semidirect
38. C47×#459C22semidirect
39. C47×#459C22semidirect
40. C47×#459C22semidirect
41. C47×#459C22semidirect
51. C47×#436C22semidirect
52. C8×D4×C47C22semidirect
53. C8×D4×C47C22semidirect
54. C8×D4×C47C22semidirect
56. C47×#335C22semidirect
57. C47×#334C22semidirect
58. C47×#332C22semidirect
59. C47×#331C22semidirect
60. C47×#331C22semidirect
61. C47×#331C22semidirect
62. C47×D4⋊C8C22semidirect
63. C47×D4⋊C8C22semidirect
64. C47×D4⋊C8C22semidirect
65. C47×D4⋊C8C22semidirect
66. C47×#322C22semidirect
205. D8×C47D8semidirect
281. D4×C47C2×D8semidirect
282. D4×C47AGL(1,ℤ/8)semidirect
308. C8×C47C2×D8semidirect
309. #19755C47direct (N × H)
345. #3294C2×C47semidirect
346. D4×D8C2×C47semidirect
347. D4×D8C2×C47semidirect
348. #3272C2×C47semidirect
349. #1721C2×C47semidirect
350. #1687C2×C47semidirect
351. #1681C2×C47semidirect
352. #1667C2×C47semidirect
353. #1665C2×C47semidirect
354. #1639C2×C47semidirect
355. #1625C2×C47semidirect
356. #1619C2×C47semidirect
357. #1619C2×C47semidirect
358. #1581C2×C47semidirect
359. #1580C2×C47semidirect
373. #547C22×C47semidirect
375. D42C22×C47semidirect
376. D42C22×C47semidirect
377. #493C22×C47semidirect
378. #493C22×C47semidirect
379. #493C22×C47semidirect
380. #492C22×C47semidirect
381. #486C22×C47semidirect
382. #486C22×C47semidirect
384. #474C22×C47semidirect
389. #461C22×C47semidirect
392. #459C22×C47semidirect
393. #459C22×C47semidirect
394. #459C22×C47semidirect
395. #459C22×C47semidirect
405. #436C22×C47semidirect
406. C8×D4C22×C47semidirect
407. C8×D4C22×C47semidirect
408. C8×D4C22×C47semidirect
410. #335C22×C47semidirect
411. #334C22×C47semidirect
412. #332C22×C47semidirect
413. #331C22×C47semidirect
414. #331C22×C47semidirect
415. #331C22×C47semidirect
416. D4⋊C8C22×C47semidirect
417. D4⋊C8C22×C47semidirect
418. D4⋊C8C22×C47semidirect
419. D4⋊C8C22×C47semidirect
420. #322C22×C47semidirect
421. C47#19755direct (N × H)
560. D8D8×C47semidirect
636. D4C2×D8×C47semidirect
637. D4AGL(1,ℤ/8)×C47semidirect
663. C8C2×D8×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#32942
D4×D8×C472
C47×#32722
C47×#17212
C47×#16872
C47×#16812
C47×#16672
C47×#16652
C47×#16392
C47×#16252
C47×#16192
C47×#15812
C47×#15802
#1975547