C₄₂₄₃⋊C₈ #46800352

order	33944
automorphism	?
homology	Abelianization (H₁) = C₈ · Schur multiplier (H₂) = C₁

Aliases

C₄₂₄₃⋊C₈

C₄₂₄₃ ⋊ C₈

	subgroup	G/H
center, Frattini, hypercenter	C₄	D₄₂₄₃
commutator, hypocenter	C₄₂₄₃	C₈
Fitting, cosocle	C₄×C₄₂₄₃	C₂
socle, prime radical	C₂×C₄₂₄₃	C₄
LCS	G ▷ C₄₂₄₃
UCS	C₁ ◁ C₄

8 conjugacy classes of subgroups.

μ_t(G) = 33944

Polycyclic presentation:

2^3,4243|a^2=b,b^2=c,d^a=d^4242

8492 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33944, 6);