C₂×C₃²×D₃×SD₁₆ #13179135

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₃² · Schur multiplier (H₂) = C₂⁵×C₃

Aliases

C₂×C₃²×D₃×SD₁₆

Fitting	C₂×C₃³×SD₁₆ ⋊ C₂
Sylow	C₃³ ⋊ C₂²×SD₁₆

2060 conjugacy classes of subgroups.

μ_t(G) = 288

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

maximal subgroup of	C₂×D₃×SD₁₆×C₃⋊D₃
maximal normal subgroup of	C₂×D₃×SD₁₆×C₃⋊D₃

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 45198);