Subgroups — #14545875

Order 2176.

60 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11763918	C₂	1	2	yes	maximal
2	#11763696	C₂	1	1	yes	maximal, characteristic
3	C₈×#595	C₄	1	1	yes	characteristic
4	#10587529	C₂²	1	1	yes	characteristic
5	#10587528	C₄	1	4	yes	complemented
6	C₁₆×D₁₇	C₄	1	1	yes	characteristic
7	C₄×#595	C₈	1	1	yes	characteristic
8	#63242	C₈	1	1	yes	characteristic
9	C₈×D₁₇	C₂×C₄	1	1	yes	characteristic
10	#63216	C₂×C₄	1	2	yes	—
11	C₁₆×C₁₇	C₈	1	1	yes	characteristic
12	#63214	C₈	1	1	yes	characteristic
13	C₂×#595	—	2	1	no	—
14	C₄×D₁₇	C₂×C₈	1	1	yes	characteristic
15	#3624	—	2	1	no	—
16	C₈×C₁₇	C₂×C₈	1	1	yes	characteristic
17	#3622	C₄²	1	1	yes	characteristic
18	#1398	—	17	1	no	maximal, Sylow
19	C₂×D₁₇	M₃₂	1	1	yes	characteristic
20	#595	—	4	1	no	—
21	C₄×C₁₇	C₄×C₈	1	1	yes	characteristic
22	Dic₁₇	M₃₂	1	1	yes	characteristic
23	M₆₄	—	17	2	no	—
24	#346	—	17	1	no	—
25	C₂×C₁₇	#346	1	1	yes	characteristic
26	D₁₇	—	2	1	no	—
27	C₂×C₁₆	—	17	1	no	—
28	C₂×C₁₆	—	17	1	no	—
29	C₄×C₈	—	17	1	no	—
30	C₃₂	—	17	4	no	—
31	C₁₇	#1398	1	1	yes	characteristic, complemented, Sylow
32	C₂×C₈	—	17	1	no	—
33	C₂×C₈	—	17	1	no	—
34	C₄²	—	17	1	no	—
35	C₁₆	—	17	2	no	—
36	C₁₆	—	17	1	no	—
37	C₁₆	#3633	1	1	yes	characteristic
38	C₂×C₄	—	17	1	no	—
39	C₂×C₄	—	34	1	no	—
40	C₈	—	17	1	no	—
41	C₈	—	34	1	no	—
42	C₈	C₂×#3633	1	1	yes	characteristic
43	C₂²	—	17	1	no	—
44	C₄	—	17	1	no	—
45	C₄	—	68	1	no	—
46	C₄	C₄×#3633	1	1	yes	characteristic
47	C₂	—	34	1	no	—
48	C₂	#11763904	1	1	yes	characteristic

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

N	H ≅ G/N	type
5. #10587528	C₄	semidirect
31. C₁₇	#1398	semidirect

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