C₃×C₂²⋊C₄×#67 #11804741

order	1152
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

Fitting	C₂²×C₃²×C₂²⋊C₄ ⋊ C₂
Sylow	C₃² ⋊ D₄×C₂²⋊C₄

2841 conjugacy classes of subgroups.

μ_t(G) = 96

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 38752);