C₆₁×D₃₀₇ #49153758

order	37454
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₆₁×D₃₀₇
unambiguous semidirect product	C₃₀₇⋊(C₂×C₆₁)

Fitting, socle, Hall	C₆₁×C₃₀₇ ⋊ C₂
derived, Sylow	C₃₀₇ ⋊ C₂×C₆₁

	subgroup	G/H
center, hypercenter	C₆₁	D₃₀₇
commutator, cosocle, hypocenter	C₃₀₇	C₂×C₆₁
Frattini	C₁	G
Fitting, socle	C₆₁×C₃₀₇	C₂
LCS	G ▷ C₃₀₇
UCS	C₁ ◁ C₆₁

8 conjugacy classes of subgroups.

μ_t(G) = 18727

9455 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37454, 2);