C₃⋊D₃×C₁₇₂₃ #44526554

order	31014
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇₂₃ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃⋊D₃×C₁₇₂₃
unambiguous semidirect product	C₃⋊(D₃×C₁₇₂₃)

Fitting, socle, Hall	C₃²×C₁₇₂₃ ⋊ C₂
derived, Sylow	C₃² ⋊ C₂×C₁₇₂₃

	subgroup	G/H
center, hypercenter	C₁₇₂₃	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂×C₁₇₂₃
Frattini	C₁	G
Fitting, socle	C₃²×C₁₇₂₃	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₁₇₂₃

24 conjugacy classes of subgroups.

μ_t(G) = 15507

10338 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31014, 15);