C₂²×C₄×#13181884 #42122871

order	27712
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#13181884
unambiguous semidirect product	D₄₃₃⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₄₃₃ ⋊ C₄
derived, Sylow	C₄₃₃ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 6928

1792 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(27712, 1609);