Subgroups — C₂×Dic₂₉₇₁ #37557740

Order 23768.

16 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₂₉₇₁	C₂	1	1	yes	maximal, characteristic
2	Dic₂₉₇₁	C₂	1	2	yes	maximal, direct product factor
3	C₂×C₂₉₇₁	C₄	1	2	yes	complemented
4	C₂×C₂₉₇₁	C₂²	1	1	yes	characteristic
5	C₂₉₇₁	C₂×C₄	1	1	yes	characteristic, complemented, Sylow
6	C₂×C₄	—	2971	1	no	maximal, Sylow
7	C₂²	D₂₉₇₁	1	1	yes	characteristic
8	C₄	—	2971	2	no	—
9	C₂	Dic₂₉₇₁	1	2	yes	direct product factor
10	C₂	C₂×D₂₉₇₁	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.