C₂²×C₄×#13095555 #38735159

order	24896
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#13095555
unambiguous semidirect product	D₃₈₉⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₃₈₉ ⋊ C₄
derived, Sylow	C₃₈₉ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 6224

1616 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24896, 1609);