C₂×C₃²×D₁₀₂₇ #49149657

order	36972
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃² · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂×C₃²×D₁₀₂₇

	subgroup	G/H
center, hypercenter	C₂×C₃²	D₁₀₂₇
commutator, cosocle, hypocenter	C₁₃×C₇₉	C₂²×C₃²
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₁₃×C₇₉	C₂
LCS	G ▷ C₁₃×C₇₉
UCS	C₁ ◁ C₂×C₃²

120 conjugacy classes of subgroups.

μ_t(G) = 18486

9270 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36972, 305);