C₄₇₈₃⋊C₈ #50304792

order	38264
automorphism	?
homology	Abelianization (H₁) = C₈ · Schur multiplier (H₂) = C₁

Aliases

C₄₇₈₃⋊C₈

C₄₇₈₃ ⋊ C₈

	subgroup	G/H
center, Frattini, hypercenter	C₄	D₄₇₈₃
commutator, hypocenter	C₄₇₈₃	C₈
Fitting, cosocle	C₄×C₄₇₈₃	C₂
socle, prime radical	C₂×C₄₇₈₃	C₄
LCS	G ▷ C₄₇₈₃
UCS	C₁ ◁ C₄

8 conjugacy classes of subgroups.

μ_t(G) = 38264

Polycyclic presentation:

2^3,4783|a^2=b,b^2=c,d^a=d^4782

9572 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38264, 6);