C₂²×C₄⋊#13181884 #42122873

order	27712
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

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

Fitting	C₂²×C₄×C₄₃₃ ⋊ C₄
Sylow	C₄₃₃ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 6928

1768 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(27712, 1611);