C₂×Q₈×#11757210 #29508782

order	15424
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×Q₈×#11757210
unambiguous semidirect product	D₂₄₁⋊(C₄×Q₈)

Fitting	C₂×Q₈×C₂₄₁ ⋊ C₄
Sylow	C₂₄₁ ⋊ C₂×C₄×Q₈

298 conjugacy classes of subgroups.

μ_t(G) = 3856

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15424, 1614);