C₂³×C₄×#10597010 #34061661

order	19072
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

direct product	C₂³×C₄×#10597010
unambiguous semidirect product	D₁₄₉⋊(C₂²×C₄²)

Fitting	C₂³×C₄×C₁₄₉ ⋊ C₄
derived, Sylow	C₁₄₉ ⋊ C₂³×C₄²

3000 conjugacy classes of subgroups.

μ_t(G) = 4768

1312 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19072, 21480);