Subgroups — #11763705

Order 1088.

58 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#63223	C₂	1	1	yes	maximal, characteristic
2	#10587538	C₂	1	2	yes	maximal, complemented
3	C₂²×C₄×C₁₇	C₄	1	1	yes	characteristic
4	#63223	—	2	2	no	—
5	C₂×#3622	C₄	1	1	yes	characteristic
6	C₂×#3622	C₂²	1	1	yes	characteristic
7	#63216	—	2	2	no	—
8	C₂³×C₁₇	C₈	1	1	yes	characteristic
9	C₂×C₄×C₁₇	—	2	1	no	—
10	C₂×C₄×C₁₇	—	2	1	no	—
11	C₂×C₄×C₁₇	C₈	1	1	yes	characteristic
12	C₂×C₄×C₁₇	C₂×C₄	1	1	yes	characteristic
13	#3622	—	2	1	no	—
14	#3622	D₄	1	2	yes	—
15	C₂²×C₁₇	—	2	1	no	—
16	C₂²×C₁₇	—	4	1	no	—
17	C₂²×C₁₇	C₂×C₈	1	1	yes	characteristic
18	C₄×C₁₇	—	2	1	no	—
19	C₄×C₁₇	C₂²⋊C₄	1	1	yes	characteristic
20	C₄×C₁₇	M₁₆	1	1	yes	characteristic
21	#349	—	17	1	no	maximal, Sylow
22	C₂×C₁₇	—	2	1	no	—
23	C₂×C₁₇	—	4	1	no	—
24	C₂×C₁₇	C₂²⋊C₈	1	1	yes	characteristic
25	C₂×M₁₆	—	17	1	no	—
26	M₃₂	—	17	2	no	—
27	C₁₇	#349	1	1	yes	characteristic, complemented, Sylow
28	C₂²×C₄	#595	1	1	yes	characteristic
29	M₁₆	—	34	2	no	—
30	C₂×C₈	—	17	1	no	—
31	C₂×C₈	—	17	1	no	—
32	C₁₆	—	34	2	no	—
33	C₂³	#3624	1	1	yes	characteristic
34	C₂×C₄	—	2	1	no	—
35	C₂×C₄	—	2	1	no	—
36	C₂×C₄	#3624	1	1	yes	characteristic
37	C₂×C₄	C₂×#595	1	1	yes	characteristic
38	C₈	—	17	2	no	—
39	C₈	—	34	1	no	—
40	C₂²	—	2	1	no	—
41	C₂²	—	4	1	no	—
42	C₂²	C₂×#3624	1	1	yes	characteristic
43	C₄	—	2	1	no	—
44	C₄	#63247	1	1	yes	characteristic
45	C₄	C₂²⋊#595	1	1	yes	characteristic
46	C₂	—	2	1	no	—
47	C₂	—	4	1	no	—
48	C₂	C₂²⋊#3624	1	1	yes	characteristic

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

N	H ≅ G/N	type
2. #10587538	C₂	semidirect
27. C₁₇	#349	semidirect

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