Subgroups — C₁₆×#595 #11763693

Order 1088.

58 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈×#595	C₂	1	1	yes	maximal, characteristic
2	#10587529	C₂	1	1	yes	maximal, characteristic
3	C₁₆×D₁₇	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	C₈	1	2	yes	—
11	C₄×D₁₇	C₂×C₄	1	1	yes	characteristic
12	#3624	C₈	1	2	yes	—
13	C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
14	#3622	C₂×C₄	1	1	yes	characteristic
15	C₂×D₁₇	C₂×C₈	1	1	yes	characteristic
16	#595	C₁₆	1	4	yes	direct product factor
17	C₄×C₁₇	C₄²	1	1	yes	characteristic
18	Dic₁₇	C₂×C₈	1	1	yes	characteristic
19	C₄×C₁₆	—	17	1	no	maximal, Sylow
20	C₂×C₁₇	C₄×C₈	1	1	yes	characteristic
21	D₁₇	C₂×C₁₆	1	2	yes	—
22	C₂×C₁₆	—	17	1	no	—
23	C₂×C₁₆	—	17	1	no	—
24	C₄×C₈	—	17	1	no	—
25	C₁₇	C₄×C₁₆	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, direct product factor
32	C₂×C₄	—	17	2	no	—
33	C₂×C₄	—	17	1	no	—
34	C₈	—	17	2	no	—
35	C₈	—	17	1	no	—
36	C₈	C₂×#595	1	1	yes	characteristic
37	C₂²	—	17	1	no	—
38	C₄	—	17	4	no	—
39	C₄	—	17	1	no	—
40	C₄	C₄×#595	1	1	yes	characteristic
41	C₂	—	17	2	no	—
42	C₂	C₈×#595	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.