C₂×D₃×C₈×C₃⋊D₃ #13176611

order	1728
isoclinism	isoclinic class of D₃×C₃⋊D₃
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶×C₃

Aliases

C₂×D₃×C₈×C₃⋊D₃

Fitting	C₂×C₃³×C₈ ⋊ C₂²
derived, Sylow	C₃³ ⋊ C₂³×C₈

2332 conjugacy classes of subgroups.

μ_t(G) = 288

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

maximal subgroup of	C₂×D₃×SD₁₆×C₃⋊D₃, C₂×D₃×D₈×C₃⋊D₃, C₂×D₃×M₁₆×C₃⋊D₃, …
maximal normal subgroup of	C₂×D₃×SD₁₆×C₃⋊D₃, C₂×D₃×D₈×C₃⋊D₃, C₂×D₃×M₁₆×C₃⋊D₃, …

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 42674);