C₂×C₄×#14581558 #35232609

order	21152
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂²×C₄

Aliases

direct product	C₂×C₄×#14581558
unambiguous semidirect product	D₆₆₁⋊C₄²

Fitting	C₂×C₄×C₆₆₁ ⋊ C₄
derived, Sylow	C₆₆₁ ⋊ C₂×C₄²

108 conjugacy classes of subgroups.

μ_t(G) = 5288

1352 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21152, 222);