C₃×C₄×D₃×#67 #13174652

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

C₃×C₄×D₃×#67

Fitting	C₂²×C₃³×C₄ ⋊ C₂²
Sylow	C₃³ ⋊ C₂×C₄×D₄

2182 conjugacy classes of subgroups.

μ_t(G) = 96

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

maximal subgroup of	C₄×D₃×#3811
maximal normal subgroup of	C₄×D₃×#3811

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 40715);