C₂³×C₄×#10621924 #36370533

order	22144
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

direct product	C₂³×C₄×#10621924
unambiguous semidirect product	D₁₇₃⋊(C₂²×C₄²)

Fitting	C₂³×C₄×C₁₇₃ ⋊ C₄
derived, Sylow	C₁₇₃ ⋊ C₂³×C₄²

3000 conjugacy classes of subgroups.

μ_t(G) = 5536

1504 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22144, 21480);