C₁₇×C₃⋊D₃×C₁₀₃ #44538577

order	31518
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇×C₁₀₃ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₁₇×C₃⋊D₃×C₁₀₃
unambiguous semidirect product	C₃⋊(D₃×C₁₇×C₁₀₃)

	subgroup	G/H
center, hypercenter	C₁₇×C₁₀₃	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂×C₁₇×C₁₀₃
Frattini	C₁	G
Fitting, socle	C₃²×C₁₇×C₁₀₃	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₁₇×C₁₀₃

48 conjugacy classes of subgroups.

μ_t(G) = 15759

10506 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31518, 45);