C₂²×C₄⋊#14267798 #43273069

order	28736
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×C₄⋊#14267798
unambiguous semidirect product	D₄₄₉⋊(C₂×C₄⋊C₄)

Fitting	C₂²×C₄×C₄₄₉ ⋊ C₄
Sylow	C₄₄₉ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 7184

1832 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28736, 1611);