C₂×Q₈×#14523438 #45688497

order	33344
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×Q₈×#14523438
unambiguous semidirect product	D₅₂₁⋊(C₄×Q₈)

Fitting	C₂×Q₈×C₅₂₁ ⋊ C₄
Sylow	C₅₂₁ ⋊ C₂×C₄×Q₈

298 conjugacy classes of subgroups.

μ_t(G) = 8336

1340 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33344, 1614);