Finite Group Databasebeta

← C47×#63011 #26102709

Subgroups — C47×#63011 #26102709

Order 12032.

8808 conjugacy classes of subgroups.

The subgroup lattice has 500 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3549C211yesmaximal, characteristic, complemented
2C47×#3543C216yesmaximal, complemented
3C47×#3537C2112yesmaximal, complemented
4C47×#3532C218yesmaximal, complemented
5C47×#3519C2112yesmaximal, complemented
6C47×#3498C213yesmaximal, complemented
7C47×#3484C2112yesmaximal, complemented
8C47×#3481C213yesmaximal, complemented
9C2×D42×C47C216yesmaximal, complemented
10C2×H(5,𝔽2)×C47C2216yescomplemented
11C23×D4×C47C22112yescomplemented
12C47×H(3,𝔽4)C2214yescomplemented
13C47×#560C22124yescomplemented
14C47×#560C2218yescomplemented
15C47×#559C2213yescomplemented
16C47×#555C2216yescomplemented
17C47×#554C2216yescomplemented
18C47×#553C22112yescomplemented
19C47×#553C22124yescomplemented
20C47×#551C22112yescomplemented
21C47×#550C22112yescomplemented
22C47×#546C22112yescomplemented
23C47×#546C22124yescomplemented
24C47×#546C22148yescomplemented
25D42×C47C2213yescomplemented
26D42×C47C22124yescomplemented
27D42×C47C22112yescomplemented
28D42×C47C22124yescomplemented
29D42×C47C22124yescomplemented
30D42×C47C2216yescomplemented
31D42×C47C22124yescomplemented
32D42×C47C22124yescomplemented
33C47×#540C22124yescomplemented
34C47×#538C22148yescomplemented
35C47×#535C22112yescomplemented
36C47×#535C22112yescomplemented
37C47×#535C22112yescomplemented
38C47×#535C2216yescomplemented
39C47×#534C22124yescomplemented
40C47×#534C22124yescomplemented
41C47×#532C2213yescomplemented
42C47×#532C2216yescomplemented
43C2×#127×C47C2216yescomplemented
44C2×#127×C47C2211yescharacteristic, complemented
45C47×#529C22112yescomplemented
46C47×#525C22112yescomplemented
47C47×#525C22112yescomplemented
48C2×#121×C47C22124yescomplemented
49C2×#120×C47C22124yescomplemented
50C2×#120×C47C2218yescomplemented
51C47×#518C22112yescomplemented
52C4×#41×C47C2213yescomplemented
53C2×C4×D4×C47C22112yescomplemented
54C25×C47C2318yescomplemented
55H(5,𝔽2)×C47—424no—
56C2×#41×C47C2313yes—
57C2×#41×C47C2316yescomplemented
58C2×#41×C47C23112yescomplemented
59C2×#41×C47C23112yescomplemented
60C22×D4×C47—448no—
61C22×D4×C47C23112yes—
62C22×D4×C47C23112yes—
63C22×D4×C47C23112yescomplemented
64C22×D4×C47C23148yescomplemented
65C22×D4×C47C23124yescomplemented
66C22×D4×C47C23124yescomplemented
67C22×D4×C47C2316yescomplemented
68C22×D4×C47C23124yescomplemented
69C22×D4×C47C23112yescomplemented
70C23×C4×C47C23112yescomplemented
71C4⋊Q8×C47C2313yescomplemented
72#127×C47C2313yes—
73#127×C47C2316yescomplemented
74#127×C47C2312yescomplemented
75#127×C47C23112yescomplemented
76#127×C47C23124yescomplemented
77#127×C47C2318yescomplemented
78#126×C47C23124yescomplemented
79#126×C47C23116yescomplemented
80#125×C47C23112yescomplemented
81#124×C47C23112yescomplemented
82#124×C47C23112yescomplemented
83#124×C47C2316yescomplemented
84#124×C47C23124yescomplemented
85#123×C47C23124yescomplemented
86#123×C47C23112yescomplemented
87#123×C47C23112yescomplemented
88#123×C47C23124yescomplemented
89#123×C47C23148yescomplemented
90C22⋊Q8×C47C23112yescomplemented
91C22⋊Q8×C47C23124yescomplemented
92#121×C47C23112yes—
93#121×C47C23124yescomplemented
94#121×C47C23148yescomplemented
95#121×C47C23124yescomplemented
96#121×C47C23124yescomplemented
97#121×C47C23148yescomplemented
98#121×C47C23124yescomplemented
99#121×C47C23112yescomplemented
100#121×C47C23148yescomplemented
101#121×C47C23148yescomplemented
102#120×C47C23112yes—
103#120×C47C23124yescomplemented
104#120×C47C23112yescomplemented
105#120×C47C2318yescomplemented
106#120×C47C2318yescomplemented
107#120×C47C23124yescomplemented
108#120×C47C23124yescomplemented
109#120×C47C23148yescomplemented
110#120×C47C23148yescomplemented
111#120×C47C23124yescomplemented
112C4×Q8×C47C2316yescomplemented
113C4×D4×C47C2316yes—
114C4×D4×C47C23112yes—
115C4×D4×C47C23124yescomplemented
116C4×D4×C47C23112yescomplemented
117C4×D4×C47C23124yescomplemented
118C4×D4×C47C23112yescomplemented
119C4×D4×C47C23112yescomplemented
120C4×D4×C47C23148yescomplemented
121C4×D4×C47C23124yescomplemented
122#117×C47C2316yescomplemented
123#117×C47C2313yescomplemented
124#117×C47C23112yescomplemented
125#117×C47C23112yescomplemented
126C2×C4⋊C4×C47C23112yescomplemented
127C2×C22⋊C4×C47C23124yescomplemented
128C2×C22⋊C4×C47C23124yescomplemented
129C2×C22⋊C4×C47C23124yescomplemented
130C2×C42×C47C2316yescomplemented
131C2×C42×C47C2311yescharacteristic, complemented
132C24×C47—448no—
133C24×C47C24112yes—
134C24×C47C24124yes—
135C24×C47C2418yes—
136C24×C47C2414yes—
137#41×C47—212no—
138#41×C47—412no—
139#41×C47—424no—
140#41×C47—424no—
141C2×Q8×C47C2413yes—
142C2×Q8×C47C2416yes—
143C2×D4×C47—248no—
144C2×D4×C47—248no—
145C2×D4×C47—448no—
146C2×D4×C47—424no—
147C2×D4×C47—412no—
148C2×D4×C47—424no—
149C2×D4×C47—448no—
150C2×D4×C47—496no—
151C2×D4×C47—448no—
152C2×D4×C47C24124yes—
153C2×D4×C47C24124yes—
154C2×D4×C47C2416yes—
155C2×D4×C47C24112yes—
156C2×D4×C47C24112yes—
157C2×D4×C47C2416yes—
158C2×D4×C47C24112yes—
159C2×D4×C47C24124yes—
160C2×D4×C47C24124yes—
161C2×D4×C47C24112yes—
162C2×D4×C47C24148yes—
163C2×D4×C47C2413yes—
164C22×C4×C47—424no—
165C22×C4×C47C2416yes—
166C22×C4×C47C24112yes—
167C22×C4×C47C2413yes—
168C22×C4×C47C24112yes—
169C22×C4×C47C24124yes—
170C22×C4×C47C24124yes—
171C22×C4×C47C24112yes—
172C4⋊C4×C47C2416yes—
173C4⋊C4×C47C24112yes—
174C4⋊C4×C47C24124yes—
175C4⋊C4×C47C24124yes—
176C4⋊C4×C47C24112yes—
177C22⋊C4×C47C24124yes—
178C22⋊C4×C47C24112yes—
179C22⋊C4×C47C24112yes—
180C22⋊C4×C47C24124yes—
181C22⋊C4×C47C24112yes—
182C22⋊C4×C47C24124yes—
183C22⋊C4×C47C24124yes—
184C22⋊C4×C47C24148yes—
185C22⋊C4×C47C2416yes—
186C42×C47C2413yes—
187C42×C47C2411yescharacteristic
188C42×C47C24112yes—
189C42×C47C2416yes—
190C42×C47C2418yes—
191C23×C47—248no—
192C23×C47—248no—
193C23×C47—412no—
194C23×C47—448no—
195C23×C47—424no—
196C23×C47—412no—
197C23×C47—864no—
198C23×C47C25112yes—
199C23×C47C2511yescharacteristic
200C23×C47C2518yes—
201C23×C47C2516yes—
202Q8×C47—26no—
203Q8×C47—46no—
204D4×C47—248no—
205D4×C47—248no—
206D4×C47—212no—
207D4×C47—224no—
208D4×C47—224no—
209D4×C47—448no—
210D4×C47—424no—
211D4×C47—46no—
212D4×C47—412no—
213D4×C47—412no—
214D4×C47—424no—
215D4×C47H(5,𝔽2)112yescomplemented
216C2×C4×C47—212no—
217C2×C4×C47—224no—
218C2×C4×C47—224no—
219C2×C4×C47—26no—
220C2×C4×C47—412no—
221C2×C4×C47—424no—
222C2×C4×C47—424no—
223C2×C4×C47C2513yes—
224C2×C4×C47C25112yes—
225C2×C4×C47C2516yes—
226C2×C4×C47C25112yes—
227C2×C4×C47C2513yes—
228#63011C4711yesmaximal, characteristic, direct product factor, Sylow
229C22×C47—212no—
230C22×C47—212no—
231C22×C47—23no—
232C22×C47—224no—
233C22×C47—224no—
234C22×C47—448no—
235C22×C47—848no—
236C22×C47—816no—
237C22×C47—164no—
238C22×C47C2×H(5,𝔽2)112yes—
239C22×C47C2611yescharacteristic
240C4×C47—23no—
241C4×C47—212no—
242C4×C47—212no—
243C4×C47—26no—
244C4×C47C2×H(5,𝔽2)16yes—
245#3549C2×C4711yescharacteristic, complemented
246#3543C2×C4716yescomplemented
247#3537C2×C47112yescomplemented
248#3532C2×C4718yescomplemented
249#3519C2×C47112yescomplemented
250#3498C2×C4713yescomplemented
251#3484C2×C47112yescomplemented
252#3481C2×C4713yescomplemented
253C2×D42C2×C4716yescomplemented
254C2×C47—212no—
255C2×C47—412no—
256C2×C47—48no—
257C2×C47—41no—
258C2×C47C22×H(5,𝔽2)13yes—
259C2×H(5,𝔽2)C22×C4716yescomplemented
260C23×D4C22×C47112yescomplemented
261H(3,𝔽4)C22×C4714yescomplemented
262#560C22×C47124yescomplemented
263#560C22×C4718yescomplemented
264#559C22×C4713yescomplemented
265#555C22×C4716yescomplemented
266#554C22×C4716yescomplemented
267#553C22×C47112yescomplemented
268#553C22×C47124yescomplemented
269#551C22×C47112yescomplemented
270#550C22×C47112yescomplemented
271#546C22×C47112yescomplemented
272#546C22×C47148yescomplemented
273#546C22×C47124yescomplemented
274D42C22×C4713yescomplemented
275D42C22×C47124yescomplemented
276D42C22×C47112yescomplemented
277D42C22×C47124yescomplemented
278D42C22×C47124yescomplemented
279D42C22×C4716yescomplemented
280D42C22×C47124yescomplemented
281D42C22×C47124yescomplemented
282#540C22×C47124yescomplemented
283#538C22×C47148yescomplemented
284#535C22×C47112yescomplemented
285#535C22×C47112yescomplemented
286#535C22×C47112yescomplemented
287#535C22×C4716yescomplemented
288#534C22×C47124yescomplemented
289#534C22×C47124yescomplemented
290#532C22×C4713yescomplemented
291#532C22×C4716yescomplemented
292C2×#127C22×C4716yescomplemented
293C2×#127C22×C4711yescharacteristic, complemented
294#529C22×C47112yescomplemented
295#525C22×C47112yescomplemented
296#525C22×C47112yescomplemented
297C2×#121C22×C47124yescomplemented
298C2×#120C22×C47124yescomplemented
299C2×#120C22×C4718yescomplemented
300#518C22×C47112yescomplemented
301C4×#41C22×C4713yescomplemented
302C2×C4×D4C22×C47112yescomplemented
303C47#6301111yescharacteristic, direct product factor, Sylow
304C25C23×C4718yescomplemented
305H(5,𝔽2)—424no—
306C2×#41C23×C4713yes—
307C2×#41C23×C4716yescomplemented
308C2×#41C23×C47112yescomplemented
309C2×#41C23×C47112yescomplemented
310C22×D4—448no—
311C22×D4C23×C47112yes—
312C22×D4C23×C47112yes—
313C22×D4C23×C47112yescomplemented
314C22×D4C23×C47148yescomplemented
315C22×D4C23×C47124yescomplemented
316C22×D4C23×C47124yescomplemented
317C22×D4C23×C4716yescomplemented
318C22×D4C23×C47124yescomplemented
319C22×D4C23×C47112yescomplemented
320C23×C4C23×C47112yescomplemented
321C4⋊Q8C23×C4713yescomplemented
322#127C23×C4713yes—
323#127C23×C4716yescomplemented
324#127C23×C4712yescomplemented
325#127C23×C47112yescomplemented
326#127C23×C47124yescomplemented
327#127C23×C4718yescomplemented
328#126C23×C47124yescomplemented
329#126C23×C47116yescomplemented
330#125C23×C47112yescomplemented
331#124C23×C47112yescomplemented
332#124C23×C47112yescomplemented
333#124C23×C4716yescomplemented
334#124C23×C47124yescomplemented
335#123C23×C47124yescomplemented
336#123C23×C47112yescomplemented
337#123C23×C47112yescomplemented
338#123C23×C47124yescomplemented
339#123C23×C47148yescomplemented
340C22⋊Q8C23×C47112yescomplemented
341C22⋊Q8C23×C47124yescomplemented
342#121C23×C47112yes—
343#121C23×C47124yescomplemented
344#121C23×C47148yescomplemented
345#121C23×C47124yescomplemented
346#121C23×C47124yescomplemented
347#121C23×C47148yescomplemented
348#121C23×C47124yescomplemented
349#121C23×C47112yescomplemented
350#121C23×C47148yescomplemented
351#121C23×C47148yescomplemented
352#120C23×C47112yes—
353#120C23×C47124yescomplemented
354#120C23×C47112yescomplemented
355#120C23×C4718yescomplemented
356#120C23×C4718yescomplemented
357#120C23×C47124yescomplemented
358#120C23×C47124yescomplemented
359#120C23×C47148yescomplemented
360#120C23×C47148yescomplemented
361#120C23×C47124yescomplemented
362C4×Q8C23×C4716yescomplemented
363C4×D4C23×C4716yes—
364C4×D4C23×C47112yes—
365C4×D4C23×C47124yescomplemented
366C4×D4C23×C47112yescomplemented
367C4×D4C23×C47124yescomplemented
368C4×D4C23×C47112yescomplemented
369C4×D4C23×C47112yescomplemented
370C4×D4C23×C47148yescomplemented
371C4×D4C23×C47124yescomplemented
372#117C23×C4716yescomplemented
373#117C23×C4713yescomplemented
374#117C23×C47112yescomplemented
375#117C23×C47112yescomplemented
376C2×C4⋊C4C23×C47112yescomplemented
377C2×C22⋊C4C23×C47124yescomplemented
378C2×C22⋊C4C23×C47124yescomplemented
379C2×C22⋊C4C23×C47124yescomplemented
380C2×C42C23×C4716yescomplemented
381C2×C42C23×C4711yescharacteristic, complemented
382C24—448no—
383C24C24×C47112yes—
384C24C24×C47124yes—
385C24C24×C4718yes—
386C24C24×C4714yes—
387#41—212no—
388#41—412no—
389#41—424no—
390#41—424no—
391C2×Q8C24×C4713yes—
392C2×Q8C24×C4716yes—
393C2×D4—248no—
394C2×D4—248no—
395C2×D4—448no—
396C2×D4—424no—
397C2×D4—412no—
398C2×D4—424no—
399C2×D4—448no—
400C2×D4—496no—
401C2×D4—448no—
402C2×D4C24×C47124yes—
403C2×D4C24×C47124yes—
404C2×D4C24×C4716yes—
405C2×D4C24×C47112yes—
406C2×D4C24×C47112yes—
407C2×D4C24×C4716yes—
408C2×D4C24×C47112yes—
409C2×D4C24×C47124yes—
410C2×D4C24×C47124yes—
411C2×D4C24×C47112yes—
412C2×D4C24×C47148yes—
413C2×D4C24×C4713yes—
414C22×C4—424no—
415C22×C4C24×C4716yes—
416C22×C4C24×C47112yes—
417C22×C4C24×C4713yes—
418C22×C4C24×C47112yes—
419C22×C4C24×C47124yes—
420C22×C4C24×C47124yes—
421C22×C4C24×C47112yes—
422C4⋊C4C24×C4716yes—
423C4⋊C4C24×C47112yes—
424C4⋊C4C24×C47124yes—
425C4⋊C4C24×C47124yes—
426C4⋊C4C24×C47112yes—
427C22⋊C4C24×C47124yes—
428C22⋊C4C24×C47112yes—
429C22⋊C4C24×C47112yes—
430C22⋊C4C24×C47124yes—
431C22⋊C4C24×C47112yes—
432C22⋊C4C24×C47124yes—
433C22⋊C4C24×C47124yes—
434C22⋊C4C24×C47148yes—
435C22⋊C4C24×C4716yes—
436C42C24×C4713yes—
437C42C24×C4711yescharacteristic
438C42C24×C47112yes—
439C42C24×C4716yes—
440C42C24×C4718yes—
441C23—248no—
442C23—248no—
443C23—412no—
444C23—448no—
445C23—424no—
446C23—412no—
447C23—864no—
448C23C25×C47112yes—
449C23C25×C4711yescharacteristic
450C23C25×C4718yes—
451C23C25×C4716yes—
452Q8—26no—
453Q8—46no—
454D4—248no—
455D4—248no—
456D4—212no—
457D4—224no—
458D4—224no—
459D4—448no—
460D4—424no—
461D4—46no—
462D4—412no—
463D4—412no—
464D4—424no—
465D4H(5,𝔽2)×C47112yescomplemented
466C2×C4—212no—
467C2×C4—224no—
468C2×C4—224no—
469C2×C4—26no—
470C2×C4—412no—
471C2×C4—424no—
472C2×C4—424no—
473C2×C4C25×C4713yes—
474C2×C4C25×C47112yes—
475C2×C4C25×C4716yes—
476C2×C4C25×C47112yes—
477C2×C4C25×C4713yes—
478C22—212no—
479C22—212no—
480C22—23no—
481C22—224no—
482C22—224no—
483C22—448no—
484C22—848no—
485C22—816no—
486C22—164no—
487C22C2×H(5,𝔽2)×C47112yes—
488C22C26×C4711yescharacteristic
489C4—23no—
490C4—212no—
491C4—212no—
492C4—26no—
493C4C2×H(5,𝔽2)×C4716yes—
494C2—212no—
495C2—412no—
496C2—48no—
497C2—41no—
498C2C22×H(5,𝔽2)×C4713yes—
subgroupG/H
center, socleC22×C47C26
commutator, Frattini, cosocleC22C26×C47
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3549C2semidirect
2. C47×#3543C2semidirect
3. C47×#3537C2semidirect
4. C47×#3532C2semidirect
5. C47×#3519C2semidirect
6. C47×#3498C2semidirect
7. C47×#3484C2semidirect
8. C47×#3481C2semidirect
9. C2×D42×C47C2semidirect
10. C2×H(5,𝔽2)×C47C22semidirect
11. C23×D4×C47C22semidirect
12. C47×H(3,𝔽4)C22semidirect
13. C47×#560C22semidirect
14. C47×#560C22semidirect
15. C47×#559C22semidirect
16. C47×#555C22semidirect
17. C47×#554C22semidirect
18. C47×#553C22semidirect
19. C47×#553C22semidirect
20. C47×#551C22semidirect
21. C47×#550C22semidirect
22. C47×#546C22semidirect
23. C47×#546C22semidirect
24. C47×#546C22semidirect
25. D42×C47C22semidirect
26. D42×C47C22semidirect
27. D42×C47C22semidirect
28. D42×C47C22semidirect
29. D42×C47C22semidirect
30. D42×C47C22semidirect
31. D42×C47C22semidirect
32. D42×C47C22semidirect
33. C47×#540C22semidirect
34. C47×#538C22semidirect
35. C47×#535C22semidirect
36. C47×#535C22semidirect
37. C47×#535C22semidirect
38. C47×#535C22semidirect
39. C47×#534C22semidirect
40. C47×#534C22semidirect
41. C47×#532C22semidirect
42. C47×#532C22semidirect
43. C2×#127×C47C22semidirect
44. C2×#127×C47C22semidirect
45. C47×#529C22semidirect
46. C47×#525C22semidirect
47. C47×#525C22semidirect
48. C2×#121×C47C22semidirect
49. C2×#120×C47C22semidirect
50. C2×#120×C47C22semidirect
51. C47×#518C22semidirect
52. C4×#41×C47C22semidirect
53. C2×C4×D4×C47C22semidirect
54. C25×C47C23semidirect
57. C2×#41×C47C23semidirect
58. C2×#41×C47C23semidirect
59. C2×#41×C47C23semidirect
63. C22×D4×C47C23semidirect
64. C22×D4×C47C23semidirect
65. C22×D4×C47C23semidirect
66. C22×D4×C47C23semidirect
67. C22×D4×C47C23semidirect
68. C22×D4×C47C23semidirect
69. C22×D4×C47C23semidirect
70. C23×C4×C47C23semidirect
71. C4⋊Q8×C47C23semidirect
73. #127×C47C23semidirect
74. #127×C47C23semidirect
75. #127×C47C23semidirect
76. #127×C47C23semidirect
77. #127×C47C23semidirect
78. #126×C47C23semidirect
79. #126×C47C23semidirect
80. #125×C47C23semidirect
81. #124×C47C23semidirect
82. #124×C47C23semidirect
83. #124×C47C23semidirect
84. #124×C47C23semidirect
85. #123×C47C23semidirect
86. #123×C47C23semidirect
87. #123×C47C23semidirect
88. #123×C47C23semidirect
89. #123×C47C23semidirect
90. C22⋊Q8×C47C23semidirect
91. C22⋊Q8×C47C23semidirect
93. #121×C47C23semidirect
94. #121×C47C23semidirect
95. #121×C47C23semidirect
96. #121×C47C23semidirect
97. #121×C47C23semidirect
98. #121×C47C23semidirect
99. #121×C47C23semidirect
100. #121×C47C23semidirect
101. #121×C47C23semidirect
103. #120×C47C23semidirect
104. #120×C47C23semidirect
105. #120×C47C23semidirect
106. #120×C47C23semidirect
107. #120×C47C23semidirect
108. #120×C47C23semidirect
109. #120×C47C23semidirect
110. #120×C47C23semidirect
111. #120×C47C23semidirect
112. C4×Q8×C47C23semidirect
115. C4×D4×C47C23semidirect
116. C4×D4×C47C23semidirect
117. C4×D4×C47C23semidirect
118. C4×D4×C47C23semidirect
119. C4×D4×C47C23semidirect
120. C4×D4×C47C23semidirect
121. C4×D4×C47C23semidirect
122. #117×C47C23semidirect
123. #117×C47C23semidirect
124. #117×C47C23semidirect
125. #117×C47C23semidirect
126. C2×C4⋊C4×C47C23semidirect
127. C2×C22⋊C4×C47C23semidirect
128. C2×C22⋊C4×C47C23semidirect
129. C2×C22⋊C4×C47C23semidirect
130. C2×C42×C47C23semidirect
131. C2×C42×C47C23semidirect
215. D4×C47H(5,𝔽2)semidirect
228. #63011C47direct (N × H)
245. #3549C2×C47semidirect
246. #3543C2×C47semidirect
247. #3537C2×C47semidirect
248. #3532C2×C47semidirect
249. #3519C2×C47semidirect
250. #3498C2×C47semidirect
251. #3484C2×C47semidirect
252. #3481C2×C47semidirect
253. C2×D42C2×C47semidirect
259. C2×H(5,𝔽2)C22×C47semidirect
260. C23×D4C22×C47semidirect
261. H(3,𝔽4)C22×C47semidirect
262. #560C22×C47semidirect
263. #560C22×C47semidirect
264. #559C22×C47semidirect
265. #555C22×C47semidirect
266. #554C22×C47semidirect
267. #553C22×C47semidirect
268. #553C22×C47semidirect
269. #551C22×C47semidirect
270. #550C22×C47semidirect
271. #546C22×C47semidirect
272. #546C22×C47semidirect
273. #546C22×C47semidirect
274. D42C22×C47semidirect
275. D42C22×C47semidirect
276. D42C22×C47semidirect
277. D42C22×C47semidirect
278. D42C22×C47semidirect
279. D42C22×C47semidirect
280. D42C22×C47semidirect
281. D42C22×C47semidirect
282. #540C22×C47semidirect
283. #538C22×C47semidirect
284. #535C22×C47semidirect
285. #535C22×C47semidirect
286. #535C22×C47semidirect
287. #535C22×C47semidirect
288. #534C22×C47semidirect
289. #534C22×C47semidirect
290. #532C22×C47semidirect
291. #532C22×C47semidirect
292. C2×#127C22×C47semidirect
293. C2×#127C22×C47semidirect
294. #529C22×C47semidirect
295. #525C22×C47semidirect
296. #525C22×C47semidirect
297. C2×#121C22×C47semidirect
298. C2×#120C22×C47semidirect
299. C2×#120C22×C47semidirect
300. #518C22×C47semidirect
301. C4×#41C22×C47semidirect
302. C2×C4×D4C22×C47semidirect
303. C47#63011direct (N × H)
304. C25C23×C47semidirect
307. C2×#41C23×C47semidirect
308. C2×#41C23×C47semidirect
309. C2×#41C23×C47semidirect
313. C22×D4C23×C47semidirect
314. C22×D4C23×C47semidirect
315. C22×D4C23×C47semidirect
316. C22×D4C23×C47semidirect
317. C22×D4C23×C47semidirect
318. C22×D4C23×C47semidirect
319. C22×D4C23×C47semidirect
320. C23×C4C23×C47semidirect
321. C4⋊Q8C23×C47semidirect
323. #127C23×C47semidirect
324. #127C23×C47semidirect
325. #127C23×C47semidirect
326. #127C23×C47semidirect
327. #127C23×C47semidirect
328. #126C23×C47semidirect
329. #126C23×C47semidirect
330. #125C23×C47semidirect
331. #124C23×C47semidirect
332. #124C23×C47semidirect
333. #124C23×C47semidirect
334. #124C23×C47semidirect
335. #123C23×C47semidirect
336. #123C23×C47semidirect
337. #123C23×C47semidirect
338. #123C23×C47semidirect
339. #123C23×C47semidirect
340. C22⋊Q8C23×C47semidirect
341. C22⋊Q8C23×C47semidirect
343. #121C23×C47semidirect
344. #121C23×C47semidirect
345. #121C23×C47semidirect
346. #121C23×C47semidirect
347. #121C23×C47semidirect
348. #121C23×C47semidirect
349. #121C23×C47semidirect
350. #121C23×C47semidirect
351. #121C23×C47semidirect
353. #120C23×C47semidirect
354. #120C23×C47semidirect
355. #120C23×C47semidirect
356. #120C23×C47semidirect
357. #120C23×C47semidirect
358. #120C23×C47semidirect
359. #120C23×C47semidirect
360. #120C23×C47semidirect
361. #120C23×C47semidirect
362. C4×Q8C23×C47semidirect
365. C4×D4C23×C47semidirect
366. C4×D4C23×C47semidirect
367. C4×D4C23×C47semidirect
368. C4×D4C23×C47semidirect
369. C4×D4C23×C47semidirect
370. C4×D4C23×C47semidirect
371. C4×D4C23×C47semidirect
372. #117C23×C47semidirect
373. #117C23×C47semidirect
374. #117C23×C47semidirect
375. #117C23×C47semidirect
376. C2×C4⋊C4C23×C47semidirect
377. C2×C22⋊C4C23×C47semidirect
378. C2×C22⋊C4C23×C47semidirect
379. C2×C22⋊C4C23×C47semidirect
380. C2×C42C23×C47semidirect
381. C2×C42C23×C47semidirect
465. D4H(5,𝔽2)×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#35492
C47×#35432
C47×#35372
C47×#35322
C47×#35192
C47×#34982
C47×#34842
C47×#34812
C2×D42×C472
#6301147