Subgroups — #11763728

Order 1088.

54 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Q₁₆×D₁₇	C₂	1	1	yes	maximal, characteristic
2	#10587535	C₂	1	1	yes	maximal, characteristic
3	#10587530	C₂	1	1	yes	maximal, characteristic
4	Q₈×D₁₇	—	2	1	no	—
5	#63243	—	2	1	no	—
6	Q₁₆×C₁₇	C₄	1	1	yes	characteristic
7	#63231	—	2	1	no	—
8	Dic₆₈	C₄	1	1	yes	characteristic
9	C₈×D₁₇	C₂²	1	1	yes	characteristic
10	#63216	—	2	1	no	—
11	Q₈×C₁₇	—	2	1	no	—
12	C₄×D₁₇	—	4	1	no	—
13	C₄×D₁₇	D₄	1	1	yes	characteristic
14	Dic₃₄	—	2	1	no	—
15	Dic₃₄	—	4	1	no	—
16	#3624	—	4	1	no	—
17	C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
18	#3622	D₄	1	1	yes	characteristic
19	C₂×D₁₇	SD₁₆	1	1	yes	characteristic
20	C₄×C₁₇	—	4	1	no	—
21	C₄×C₁₇	C₂²⋊C₄	1	1	yes	characteristic
22	Dic₁₇	—	4	1	no	—
23	Dic₁₇	D₈	1	1	yes	characteristic
24	#362	—	17	1	no	maximal, Sylow
25	C₂×C₁₇	#102	1	1	yes	characteristic
26	D₁₇	—	2	1	no	—
27	C₂×Q₁₆	—	17	1	no	—
28	M₃₂	—	17	1	no	—
29	#108	—	17	1	no	—
30	C₁₇	#362	1	1	yes	characteristic, complemented, Sylow
31	C₂×Q₈	—	34	1	no	—
32	Q₁₆	—	17	1	no	—
33	Q₁₆	—	34	1	no	—
34	Q₁₆	#595	1	1	yes	characteristic
35	M₁₆	—	34	1	no	—
36	C₂×C₈	—	17	1	no	—
37	C₁₆	—	34	1	no	—
38	Q₈	—	2	1	no	—
39	Q₈	—	34	1	no	—
40	Q₈	—	68	1	no	—
41	C₂×C₄	—	17	1	no	—
42	C₂×C₄	—	68	1	no	—
43	C₈	—	17	1	no	—
44	C₈	—	68	1	no	—
45	C₈	C₂×#595	1	1	yes	characteristic
46	C₂²	—	17	1	no	—
47	C₄	—	4	1	no	—
48	C₄	—	17	1	no	—
49	C₄	—	68	1	no	—
50	C₄	C₂²⋊#595	1	1	yes	characteristic
51	C₂	—	34	1	no	—
52	C₂	#10587547	1	1	yes	characteristic

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

N	H ≅ G/N	type
30. C₁₇	#362	semidirect

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