C₃⋊D₃×C₁₇₃₃ #44530052

order	31194
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇₃₃ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃⋊D₃×C₁₇₃₃
unambiguous semidirect product	C₃⋊(D₃×C₁₇₃₃)

Fitting, socle, Hall	C₃²×C₁₇₃₃ ⋊ C₂
derived, Sylow	C₃² ⋊ C₂×C₁₇₃₃

	subgroup	G/H
center, hypercenter	C₁₇₃₃	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂×C₁₇₃₃
Frattini	C₁	G
Fitting, socle	C₃²×C₁₇₃₃	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₁₇₃₃

24 conjugacy classes of subgroups.

μ_t(G) = 15597

10398 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31194, 9);