Subgroups — C₅×#16861391 #35205296

Order 20420.

12 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×D₁₀₂₁	C₂	1	1	yes	maximal, characteristic
2	C₅×C₁₀₂₁	C₄	1	1	yes	characteristic, complemented, Hall
3	#16861391	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
4	D₁₀₂₁	C₂×C₅	1	1	yes	characteristic
5	C₁₀₂₁	C₄×C₅	1	1	yes	characteristic, complemented, Sylow
6	C₄×C₅	—	1021	1	no	maximal, Hall
7	C₂×C₅	—	1021	1	no	—
8	C₅	#16861391	1	1	yes	characteristic, direct product factor, Sylow
9	C₄	—	1021	1	no	Sylow
10	C₂	—	1021	1	no	—

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.