Subgroups — C₂×#23780647 #35209262

Order 20752.

22 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23780647	C₂	1	2	yes	maximal, direct product factor
2	C₂×Dic₁₂₉₇	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₁₂₉₇	C₄	1	1	yes	characteristic
4	Dic₁₂₉₇	C₄	1	1	yes	characteristic
5	Dic₁₂₉₇	C₂²	1	1	yes	characteristic
6	C₂×C₁₂₉₇	C₈	1	2	yes	complemented
7	C₂×C₁₂₉₇	C₂×C₄	1	1	yes	characteristic
8	C₁₂₉₇	C₂×C₈	1	1	yes	characteristic, complemented, Sylow
9	C₂×C₈	—	1297	1	no	maximal, Sylow
10	C₂×C₄	—	1297	1	no	—
11	C₈	—	1297	2	no	—
12	C₂²	#19104447	1	1	yes	characteristic
13	C₄	—	1297	1	no	—
14	C₄	—	1297	1	no	—
15	C₂	#23780647	1	2	yes	direct product factor
16	C₂	C₂×#19104447	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.