C₂×D₃×Q₈×C₃⋊D₃ #13181625

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂⁵ · Schur multiplier (H₂) = C₂⁹×C₃

Aliases

C₂×D₃×Q₈×C₃⋊D₃

Fitting	C₂×C₃³×Q₈ ⋊ C₂²
Sylow	C₃³ ⋊ C₂³×Q₈

5724 conjugacy classes of subgroups.

μ_t(G) = 288

maximal subgroup of	C₂×D₃×SD₁₆×C₃⋊D₃, C₂×D₃×#41×C₃⋊D₃
maximal normal subgroup of	C₂×D₃×SD₁₆×C₃⋊D₃, C₂×D₃×#41×C₃⋊D₃

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 47688);