Subgroups — C₂×#11762528 #14526993

Order 2176.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11762528	C₂	1	2	yes	maximal, direct product factor
2	C₂×C₁₇×C₃₂	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₆×C₁₇	C₄	1	1	yes	characteristic
4	C₁₇×C₃₂	C₄	1	1	yes	characteristic
5	C₁₇×C₃₂	C₂²	1	1	yes	characteristic
6	C₂×C₈×C₁₇	C₈	1	1	yes	characteristic
7	C₁₆×C₁₇	C₈	1	1	yes	characteristic
8	C₁₆×C₁₇	C₂×C₄	1	1	yes	characteristic
9	C₂×C₄×C₁₇	C₁₆	1	1	yes	characteristic
10	C₈×C₁₇	C₁₆	1	1	yes	characteristic
11	C₈×C₁₇	C₂×C₈	1	1	yes	characteristic
12	C₂×C₆₄	—	17	1	no	maximal, Sylow
13	C₂²×C₁₇	C₃₂	1	1	yes	characteristic
14	C₄×C₁₇	C₃₂	1	1	yes	characteristic
15	C₄×C₁₇	C₂×C₁₆	1	1	yes	characteristic
16	C₂×C₃₂	D₁₇	1	1	yes	characteristic
17	C₆₄	—	17	2	no	—
18	C₂×C₁₇	C₆₄	1	2	yes	complemented
19	C₂×C₁₇	C₂×C₃₂	1	1	yes	characteristic
20	C₂×C₁₆	Dic₁₇	1	1	yes	characteristic
21	C₃₂	Dic₁₇	1	1	yes	characteristic
22	C₃₂	C₂×D₁₇	1	1	yes	characteristic
23	C₁₇	C₂×C₆₄	1	1	yes	characteristic, complemented, Sylow
24	C₂×C₈	#3622	1	1	yes	characteristic
25	C₁₆	#3622	1	1	yes	characteristic
26	C₁₆	C₂×Dic₁₇	1	1	yes	characteristic
27	C₂×C₄	#63214	1	1	yes	characteristic
28	C₈	#63214	1	1	yes	characteristic
29	C₈	C₂×#3622	1	1	yes	characteristic
30	C₂²	#10587465	1	1	yes	characteristic
31	C₄	#10587465	1	1	yes	characteristic
32	C₄	C₂×#63214	1	1	yes	characteristic
33	C₂	#11762528	1	2	yes	direct product factor
34	C₂	C₂×#10587465	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.