C₃²×#5632 #13178999

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

Aliases

Fitting	C₃³×C₂²⋊Q₈ ⋊ C₂
Sylow	C₃³ ⋊ D₄×Q₈

1976 conjugacy classes of subgroups.

μ_t(G) = 288

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 45062);