C₂×C₃²×#914 #13179136

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

Aliases

C₂×C₃²×#914

Fitting	C₂×C₃³×SD₁₆ ⋊ C₂
Sylow	C₃³ ⋊ C₂×AGL(1,ℤ/8)

2060 conjugacy classes of subgroups.

μ_t(G) = 288

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

maximal subgroup of	C₂×C₃⋊D₃×#914
maximal normal subgroup of	C₂×C₃⋊D₃×#914

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 45199);