C₂×C₃²×C₇×D₁₂₇ #44544918

order	32004
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₇ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂×C₃²×C₇×D₁₂₇

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₇	D₁₂₇
commutator, cosocle, hypocenter	C₁₂₇	C₂²×C₃²×C₇
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₇×C₁₂₇	C₂
LCS	G ▷ C₁₂₇
UCS	C₁ ◁ C₂×C₃²×C₇

120 conjugacy classes of subgroups.

μ_t(G) = 16002

8190 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32004, 300);