D₄₃×C₃₇₃ #44545506

order	32078
automorphism	?
homology	Abelianization (H₁) = C₂×C₃₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₄₃×C₃₇₃
unambiguous semidirect product	C₄₃⋊(C₂×C₃₇₃)

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

	subgroup	G/H
center, hypercenter	C₃₇₃	D₄₃
commutator, cosocle, hypocenter	C₄₃	C₂×C₃₇₃
Frattini	C₁	G
Fitting, socle	C₄₃×C₃₇₃	C₂
LCS	G ▷ C₄₃
UCS	C₁ ◁ C₃₇₃

8 conjugacy classes of subgroups.

μ_t(G) = 16039

8579 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32078, 1);