D₃×C₇×C₁₉×C₂₃ #32913458

order	18354
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₉×C₂₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₇×C₁₉×C₂₃
unambiguous semidirect product	C₃⋊(C₂×C₇×C₁₉×C₂₃)

	subgroup	G/H
center, hypercenter	C₇×C₁₉×C₂₃	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₇×C₁₉×C₂₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₉×C₂₃	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₇×C₁₉×C₂₃

32 conjugacy classes of subgroups.

μ_t(G) = 9177

9177 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18354, 13);