C₄₆₀₃⋊C₈ #49145674

order	36824
automorphism	?
homology	Abelianization (H₁) = C₈ · Schur multiplier (H₂) = C₁

Aliases

C₄₆₀₃⋊C₈

C₄₆₀₃ ⋊ C₈

	subgroup	G/H
center, Frattini, hypercenter	C₄	D₄₆₀₃
commutator, hypocenter	C₄₆₀₃	C₈
Fitting, cosocle	C₄×C₄₆₀₃	C₂
socle, prime radical	C₂×C₄₆₀₃	C₄
LCS	G ▷ C₄₆₀₃
UCS	C₁ ◁ C₄

8 conjugacy classes of subgroups.

μ_t(G) = 36824

Polycyclic presentation:

2^3,4603|a^2=b,b^2=c,d^a=d^4602

9212 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36824, 6);