Subgroups — C₁₆₁₂₉ #30633192

Order 16129.

3 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₂₇	C₁₂₇	1	1	yes	maximal, characteristic

	subgroup	G/H
center	G	C₁
commutator	C₁	G
Frattini, socle, prime radical, cosocle	C₁₂₇	C₁₂₇
LCS	G ▷ C₁
UCS	C₁ ◁ G
LECS	G ▷ C₁₂₇ ▷ C₁

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

subgroup	index
C₁₂₇	127