C₅×C₇₃×D₃₉ #43249696

order	28470
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₇₃×D₃₉
unambiguous semidirect product	C₃⋊(C₅×D₁₃×C₇₃)
unambiguous semidirect product	C₁₃⋊(C₅×D₃×C₇₃)

	subgroup	G/H
center, hypercenter	C₅×C₇₃	D₃₉
commutator, cosocle, hypocenter	C₃×C₁₃	C₂×C₅×C₇₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₇₃	C₂
LCS	G ▷ C₃×C₁₃
UCS	C₁ ◁ C₅×C₇₃

32 conjugacy classes of subgroups.

μ_t(G) = 14235

7665 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28470, 15);