Subgroups — #11763700

Order 1088.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10587532	C₂	1	1	yes	maximal, characteristic
2	#10587530	C₂	1	1	yes	maximal, characteristic
3	#10587469	C₂	1	1	yes	maximal, characteristic
4	C₄×#595	C₄	1	1	yes	characteristic
5	#63242	C₄	1	1	yes	characteristic
6	C₈×D₁₇	C₂²	1	1	yes	characteristic
7	#63216	C₄	1	2	yes	complemented
8	C₁₆×C₁₇	C₄	1	1	yes	characteristic, complemented
9	#63214	C₄	1	1	yes	characteristic, complemented
10	C₂×#595	—	2	1	no	—
11	C₄×D₁₇	C₂×C₄	1	1	yes	characteristic
12	#3624	—	2	1	no	—
13	C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
14	#3622	C₂×C₄	1	1	yes	characteristic
15	C₂×D₁₇	M₁₆	1	1	yes	characteristic
16	#595	—	4	1	no	—
17	C₄×C₁₇	C₄²	1	1	yes	characteristic
18	Dic₁₇	M₁₆	1	1	yes	characteristic
19	#347	—	17	1	no	maximal, Sylow
20	C₂×C₁₇	#97	1	1	yes	characteristic
21	D₁₇	—	2	1	no	—
22	M₃₂	—	17	1	no	—
23	M₃₂	—	17	1	no	—
24	#97	—	17	1	no	—
25	C₁₇	#347	1	1	yes	characteristic, complemented, Sylow
26	C₂×C₈	—	17	1	no	—
27	C₂×C₈	—	17	1	no	—
28	C₄²	—	17	1	no	—
29	C₁₆	—	17	2	no	—
30	C₁₆	—	17	1	no	—
31	C₁₆	#595	1	1	yes	characteristic, complemented
32	C₂×C₄	—	17	1	no	—
33	C₂×C₄	—	34	1	no	—
34	C₈	—	17	1	no	—
35	C₈	—	34	1	no	—
36	C₈	C₂×#595	1	1	yes	characteristic
37	C₂²	—	17	1	no	—
38	C₄	—	17	1	no	—
39	C₄	—	68	1	no	—
40	C₄	C₄×#595	1	1	yes	characteristic
41	C₂	—	34	1	no	—
42	C₂	#10587532	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.