C₂×Q₈×#11745021 #28412546

order	14656
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×Q₈×#11745021
unambiguous semidirect product	D₂₂₉⋊(C₄×Q₈)

Fitting	C₂×Q₈×C₂₂₉ ⋊ C₄
Sylow	C₂₂₉ ⋊ C₂×C₄×Q₈

298 conjugacy classes of subgroups.

μ_t(G) = 3664

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14656, 1614);