Subgroups — C₁₃³ #14555588

Order 2197.

368 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃²	C₁₃	1	183	yes	maximal, direct product factor
2	C₁₃	C₁₃²	1	183	yes	direct product factor

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

N	H ≅ G/N	type
1. C₁₃²	C₁₃	direct (N × H)
2. C₁₃	C₁₃²	direct (N × H)

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

subgroup	index
C₁₃²	13