C₃×D₅×C₁₃×C₇₃ #43249690

order	28470
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃×C₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×D₅×C₁₃×C₇₃
unambiguous semidirect product	C₅⋊(C₂×C₃×C₁₃×C₇₃)

	subgroup	G/H
center, hypercenter	C₃×C₁₃×C₇₃	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₃×C₁₃×C₇₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₇₃	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₃×C₁₃×C₇₃

32 conjugacy classes of subgroups.

μ_t(G) = 14235

11388 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28470, 9);