Q₈×C₉×#67 #13153650

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₉ · Schur multiplier (H₂) = C₂⁵

Aliases

Q₈×C₉×#67

Fitting	C₂²×C₃×Q₈×C₉ ⋊ C₂
Sylow	C₃×C₉ ⋊ D₄×Q₈

996 conjugacy classes of subgroups.

μ_t(G) = 288

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 19713);