C₂²×C₄×#11929639 #35204283

order	20288
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#11929639
unambiguous semidirect product	D₃₁₇⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₃₁₇ ⋊ C₄
derived, Sylow	C₃₁₇ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 5072

1328 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20288, 1609);