C₅×C₁₃×D₂₁₉ #43249695

order	28470
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₃×D₂₁₉
unambiguous semidirect product	C₃⋊(C₅×C₁₃×D₇₃)
unambiguous semidirect product	C₇₃⋊(C₅×D₃×C₁₃)

	subgroup	G/H
center, hypercenter	C₅×C₁₃	D₂₁₉
commutator, cosocle, hypocenter	C₃×C₇₃	C₂×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₇₃	C₂
LCS	G ▷ C₃×C₇₃
UCS	C₁ ◁ C₅×C₁₃

32 conjugacy classes of subgroups.

μ_t(G) = 14235

7215 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28470, 14);