Subgroups — C₂×C₁₃₄₅₇ #41002142

Order 26914.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃₄₅₇	C₂	1	1	yes	maximal, characteristic, direct product factor, Sylow
2	C₂	C₁₃₄₅₇	1	1	yes	maximal, characteristic, direct product factor, Sylow

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₁₃₄₅₇	C₂	direct (N × H)
2. C₂	C₁₃₄₅₇	direct (N × H)

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₃₄₅₇	2
C₂	13457