Subgroups — C₂×D₁₇×C₅₂₉ #49112607

Order 35972.

30 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₇×C₅₂₉	C₂	1	2	yes	maximal, direct product factor
2	C₂×C₁₇×C₅₂₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₇×C₅₂₉	C₂²	1	1	yes	characteristic, complemented, Hall
4	C₂²×C₅₂₉	—	17	1	no	maximal, Hall
5	C₂×C₂₃×D₁₇	C₂₃	1	1	yes	maximal, characteristic
6	C₂×C₅₂₉	—	17	2	no	—
7	C₂×C₅₂₉	D₁₇	1	1	yes	characteristic, direct product factor
8	C₂×C₁₇×C₂₃	C₂×C₂₃	1	1	yes	characteristic
9	C₂₃×D₁₇	C₂×C₂₃	1	2	yes	—
10	C₅₂₉	C₂×D₁₇	1	1	yes	characteristic, direct product factor, Sylow
11	C₁₇×C₂₃	C₂²×C₂₃	1	1	yes	characteristic
12	C₂²×C₂₃	—	17	1	no	—
13	C₂×D₁₇	C₅₂₉	1	1	yes	characteristic, direct product factor, Hall
14	C₂×C₂₃	—	17	2	no	—
15	C₂×C₂₃	C₂₃×D₁₇	1	1	yes	characteristic
16	C₂×C₁₇	C₂×C₅₂₉	1	1	yes	characteristic, complemented
17	D₁₇	C₂×C₅₂₉	1	2	yes	direct product factor
18	C₂₃	C₂×C₂₃×D₁₇	1	1	yes	characteristic
19	C₁₇	C₂²×C₅₂₉	1	1	yes	characteristic, complemented, Sylow
20	C₂²	—	17	1	no	Sylow
21	C₂	—	17	2	no	—
22	C₂	D₁₇×C₅₂₉	1	1	yes	characteristic, direct product factor

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.