D₄₁×C₃₄₇ #43249607

order	28454
automorphism	?
homology	Abelianization (H₁) = C₂×C₃₄₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₄₁×C₃₄₇
unambiguous semidirect product	C₄₁⋊(C₂×C₃₄₇)

Fitting, socle, Hall	C₄₁×C₃₄₇ ⋊ C₂
derived, Sylow	C₄₁ ⋊ C₂×C₃₄₇

	subgroup	G/H
center, hypercenter	C₃₄₇	D₄₁
commutator, cosocle, hypocenter	C₄₁	C₂×C₃₄₇
Frattini	C₁	G
Fitting, socle	C₄₁×C₃₄₇	C₂
LCS	G ▷ C₄₁
UCS	C₁ ◁ C₃₄₇

8 conjugacy classes of subgroups.

μ_t(G) = 14227

7634 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28454, 1);