C₄₃×D₃₇₃ #44545507

order	32078
automorphism	?
homology	Abelianization (H₁) = C₂×C₄₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₄₃×D₃₇₃
unambiguous semidirect product	C₃₇₃⋊(C₂×C₄₃)

Fitting, socle, Hall	C₄₃×C₃₇₃ ⋊ C₂
derived, Sylow	C₃₇₃ ⋊ C₂×C₄₃

	subgroup	G/H
center, hypercenter	C₄₃	D₃₇₃
commutator, cosocle, hypocenter	C₃₇₃	C₂×C₄₃
Frattini	C₁	G
Fitting, socle	C₄₃×C₃₇₃	C₂
LCS	G ▷ C₃₇₃
UCS	C₁ ◁ C₄₃

8 conjugacy classes of subgroups.

μ_t(G) = 16039

8084 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32078, 2);