C₃²×D₃×#120 #13178966

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₃² · Schur multiplier (H₂) = C₂⁷×C₃

Aliases

C₃²×D₃×#120

Fitting	C₃³×#120 ⋊ C₂
Sylow	C₃³ ⋊ C₂×#120

4492 conjugacy classes of subgroups.

μ_t(G) = 144

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

maximal subgroup of	D₃×C₃⋊D₃×#120, C₃²×D₃×#1020, C₃×D₃×#5032
maximal normal subgroup of	D₃×C₃⋊D₃×#120, C₃×D₃×#5032

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 45029);