Subgroups — #11763737

Order 1088.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10587536	C₂	1	2	yes	maximal
2	C₁₆×D₁₇	C₂	1	1	yes	maximal, characteristic
3	#63243	—	2	2	no	—
4	C₈×D₁₇	C₂²	1	1	yes	characteristic
5	C₁₆×C₁₇	C₄	1	1	yes	characteristic
6	#63214	C₄	1	1	yes	characteristic
7	C₄×D₁₇	D₄	1	1	yes	characteristic
8	#3624	—	4	2	no	—
9	C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
10	#3622	Q₈	1	1	yes	characteristic
11	C₂×D₁₇	Q₁₆	1	1	yes	characteristic
12	C₄×C₁₇	C₄⋊C₄	1	1	yes	characteristic
13	Dic₁₇	D₈	1	1	yes	characteristic
14	#368	—	17	1	no	maximal, Sylow
15	C₂×C₁₇	#107	1	1	yes	characteristic
16	D₁₇	—	2	1	no	—
17	C₂×C₁₆	—	17	1	no	—
18	#108	—	17	2	no	—
19	C₁₇	#368	1	1	yes	characteristic, complemented, Sylow
20	M₁₆	—	34	2	no	—
21	C₂×C₈	—	17	1	no	—
22	C₁₆	—	17	1	no	—
23	C₁₆	#595	1	1	yes	characteristic
24	C₂×C₄	—	17	1	no	—
25	C₈	—	17	1	no	—
26	C₈	—	68	2	no	—
27	C₈	C₂×#595	1	1	yes	characteristic
28	C₂²	—	17	1	no	—
29	C₄	—	17	1	no	—
30	C₄	C₄⋊#595	1	1	yes	characteristic
31	C₂	—	34	1	no	—
32	C₂	#10587534	1	1	yes	characteristic

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

N	H ≅ G/N	type
19. C₁₇	#368	semidirect

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