D₃×C₁₃⋊C₃×C₇₉ #32914903

order	18486
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₁₃⋊C₃×C₇₉
unambiguous semidirect product	C₃⋊(C₂×C₁₃⋊C₃×C₇₉)
unambiguous semidirect product	(D₃×C₁₃)⋊(C₃×C₇₉)

	subgroup	G/H
center, hypercenter	C₇₉	D₃×C₁₃⋊C₃
commutator, cosocle, hypocenter	C₃×C₁₃	C₂×C₃×C₇₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₃×C₇₉	C₂×C₃
LCS	G ▷ C₃×C₁₃
UCS	C₁ ◁ C₇₉

36 conjugacy classes of subgroups.

μ_t(G) = 3081

1659 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18486, 66);