C₂×Q₈×#11929639 #35204288

order	20288
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×Q₈×#11929639
unambiguous semidirect product	D₃₁₇⋊(C₄×Q₈)

Fitting	C₂×Q₈×C₃₁₇ ⋊ C₄
Sylow	C₃₁₇ ⋊ C₂×C₄×Q₈

298 conjugacy classes of subgroups.

μ_t(G) = 5072

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20288, 1614);