C₅×C₄₃×D₅₇ #37587768

order	24510
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₄₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₄₃×D₅₇
unambiguous semidirect product	C₃⋊(C₅×D₁₉×C₄₃)
unambiguous semidirect product	C₁₉⋊(C₅×D₃×C₄₃)

	subgroup	G/H
center, hypercenter	C₅×C₄₃	D₅₇
commutator, cosocle, hypocenter	C₃×C₁₉	C₂×C₅×C₄₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₄₃	C₂
LCS	G ▷ C₃×C₁₉
UCS	C₁ ◁ C₅×C₄₃

32 conjugacy classes of subgroups.

μ_t(G) = 12255

6450 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24510, 15);