Subgroups — #11763736

Order 1088.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10587534	C₂	1	2	yes	maximal
2	C₁₆×D₁₇	C₂	1	1	yes	maximal, characteristic
3	C₄⋊#595	—	2	2	no	—
4	C₈×D₁₇	C₂²	1	1	yes	characteristic
5	C₁₆×C₁₇	C₄	1	1	yes	characteristic, complemented
6	#63214	C₄	1	1	yes	characteristic, complemented
7	C₂×#595	—	4	2	no	—
8	C₄×D₁₇	D₄	1	1	yes	characteristic
9	C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
10	#3622	Q₈	1	1	yes	characteristic
11	C₂×D₁₇	D₈	1	1	yes	characteristic
12	#595	—	8	2	no	—
13	C₄×C₁₇	C₄⋊C₄	1	1	yes	characteristic
14	Dic₁₇	Q₁₆	1	1	yes	characteristic
15	#367	—	17	1	no	maximal, Sylow
16	C₂×C₁₇	#107	1	1	yes	characteristic
17	D₁₇	SD₃₂	1	2	yes	—
18	C₂×C₁₆	—	17	1	no	—
19	#107	—	17	2	no	—
20	C₁₇	#367	1	1	yes	characteristic, complemented, Sylow
21	C₂×C₈	—	17	1	no	—
22	C₄⋊C₄	—	34	2	no	—
23	C₁₆	—	17	1	no	—
24	C₁₆	#595	1	1	yes	characteristic, complemented
25	C₂×C₄	—	17	1	no	—
26	C₂×C₄	—	68	2	no	—
27	C₈	—	17	1	no	—
28	C₈	C₂×#595	1	1	yes	characteristic
29	C₂²	—	17	1	no	—
30	C₄	—	17	1	no	—
31	C₄	—	136	2	no	—
32	C₄	C₄⋊#595	1	1	yes	characteristic
33	C₂	—	17	2	no	—
34	C₂	#10587534	1	1	yes	characteristic

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

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