C₂×Q₈×#13132997 #41003905

order	26944
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×Q₈×#13132997
unambiguous semidirect product	D₄₂₁⋊(C₄×Q₈)

Fitting	C₂×Q₈×C₄₂₁ ⋊ C₄
Sylow	C₄₂₁ ⋊ C₂×C₄×Q₈

298 conjugacy classes of subgroups.

μ_t(G) = 6736

1090 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26944, 1614);