C₂×Q₈×#13062438 #36342370

order	21568
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×Q₈×#13062438
unambiguous semidirect product	D₃₃₇⋊(C₄×Q₈)

Fitting	C₂×Q₈×C₃₃₇ ⋊ C₄
Sylow	C₃₃₇ ⋊ C₂×C₄×Q₈

298 conjugacy classes of subgroups.

μ_t(G) = 5392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21568, 1614);