C₃²×D₇×D₁₂₇ #44544886

order	32004
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃² · Schur multiplier (H₂) = C₂×C₃

Aliases

C₃²×D₇×D₁₂₇

	subgroup	G/H
center, hypercenter	C₃²	D₇×D₁₂₇
commutator, cosocle, hypocenter	C₇×C₁₂₇	C₂²×C₃²
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₁₂₇	C₂²
LCS	G ▷ C₇×C₁₂₇
UCS	C₁ ◁ C₃²

120 conjugacy classes of subgroups.

μ_t(G) = 8001

2925 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32004, 268);