C₃₉₃₁⋊C₈ #44537774

order	31448
automorphism	?
homology	Abelianization (H₁) = C₈ · Schur multiplier (H₂) = C₁

Aliases

C₃₉₃₁⋊C₈

C₃₉₃₁ ⋊ C₈

	subgroup	G/H
center, Frattini, hypercenter	C₄	D₃₉₃₁
commutator, hypocenter	C₃₉₃₁	C₈
Fitting, cosocle	C₄×C₃₉₃₁	C₂
socle, prime radical	C₂×C₃₉₃₁	C₄
LCS	G ▷ C₃₉₃₁
UCS	C₁ ◁ C₄

8 conjugacy classes of subgroups.

μ_t(G) = 31448

Polycyclic presentation:

2^3,3931|a^2=b,b^2=c,d^a=d^3930

7868 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31448, 6);