Finite Group Databasebeta

← Group #72243661

Character table — Group #72243661

Order 4374.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size123333333366666618181818181818181818181818181818181818181818181818181818545454545454545454545454545454545454545454545454545454545454243243243243243243243243243
order13333333339999993333333333333333333339999999333333333333333333999999999999266666666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ32222222222222222222222222222-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1000000000
χ42222222222222222222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222000000000
χ52222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ62222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ72222222222222-1-1-1-1-1-1222222222222-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000000
χ82222222222222-1-1-1-1-1-1222222222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-1-1000000000
χ92222222222222-1-1-1-1-1-1222222222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122000000000
χ102222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-122-1-1-1-1000000000
χ112222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-122222-1-1-1-1000000000
χ122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-122-1-1000000000
χ132222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1222-1-1-1-1-122-1-1000000000
χ142222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-122000000000
χ152222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-122000000000
χ162222222222-1-1-1222-1-1-1222-1-1-1-1-1-1222222222-1-122-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-1-1-1-1-1-1-1000000000
χ172222222222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12-1-12-1-12-1-12-1-12-1-12-12-1-12-1-12-12-12-1000000000
χ182222222222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-12-1-12-1-12-1-12-1-12-1-122-1-12-1-1-12-12-12000000000
χ192222222222-1-1-1222-1-1-1-1-1-1222-1-1-1222222222-1-122-1-1-1-12-1-12-1-12-1-1-12-1-12-1-12-12-1-12-1-1-1-1-1-1-1000000000
χ202222222222-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-12-1-12-1-12-1-1-12-1-12-1-12-1-12-1-12-1-12-12-12000000000
χ212222222222-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-12-1-12-1-122-1-12-1-12-1-1-12-1-12-12-12-12-1000000000
χ222222222222-1-1-1222-1-1-1-1-1-1-1-1-1222222222222-1-122-1-1-1-1-12-1-12-1-12-12-1-12-1-12-1-1-12-1-12-1-1-1-1-1-1000000000
χ232222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-1-1-12-1-12-1-12-1-1-1-12-1-12-1-12-1-12-1-122-12-12-1000000000
χ242222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12-1-12-1-12-12-1-12-1-12-1-1-1-12-1-12-12-12-12000000000
χ252222222222-1-1-1-1-1-1222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-122-1-1-12-1-1-12-12-1-1-12-1-12-1-12000000000
χ262222222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-12-1-1-122-1-1-12-1-12-1-1-12-12-1-12-1000000000
χ272222222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-12-1-1000000000
χ282222222222-1-1-1-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-122-1-1-12-1-1-122-1-1-1-12-1-12000000000
χ292222222222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-12-12-1-1-122-1-1-1-122-1-1-12-1-12-1000000000
χ302222222222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-12-12-1-1-12-1-1-12-1-122-1-12-1-12-1-1000000000
χ312222222222-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-12-1-12-1-1-122-1-12-1-1-12-1-1-12-1-12000000000
χ322222222222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-12-1-1-12-1-1-122-1-1-12-1-12-1-12-1000000000
χ332222222222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-12-1-1-12-1-122-1-1-12-12-1-1-12-12-1-12-1-1000000000
χ342222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-12-12-12-1-1-1-12-12-1-1-12-12-1-1-1-122-1000000000
χ352222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1222-12-12-1-1-1-12-12-12-1-1-1-12-1-12-12-12-1-1-1-12000000000
χ362222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1222-1-12-12-12-1-1-1-12-12-12-1-1-1-12-12-1-122-1-1-1000000000
χ372222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1222-12-12-1-1-1-12-1-12-12-12-1-12-1-1-1-12-1-1-122-1000000000
χ382222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-12-12-1-12-1-1-1-12-12-12-1-1-1-122-1-1-1-12000000000
χ392222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-12222-1-1-1-12-12-1-12-12-1-1-1-122-1-1-1-12-122-1-1-1000000000
χ402222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1222-1-12-12-12-1-1-12-12-1-1-1-12-12-12-1-1-1-1-122-1000000000
χ412222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-12222-1-1-1-12-12-1-1-12-12-12-1-1-12-12-1-12-1-1-1-12000000000
χ422222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1222-12-12-1-1-1-122-1-1-1-12-12-1-12-12-1-1-122-1-1-1000000000
χ433333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320003330000000000003−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3200−3+3i32−3−3i32000000000000000000000000000000000111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ443333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320003330000000000003−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3200−3+3i32−3−3i32000000000000000000000000000000000-1-1-11−i321−i321−i321+i321+i321+i32
χ453333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320003330000000000003−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3200−3−3i32−3+3i32000000000000000000000000000000000111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ463333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320003330000000000003−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3200−3−3i32−3+3i32000000000000000000000000000000000-1-1-11+i321+i321+i321−i321−i321−i32
χ4733−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323330000003−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000−3+3i32−3−3i32000000000000000000000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ4833−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323330000003−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000−3+3i32−3−3i3200000000000000000000000000000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ4933−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323330000003−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000−3−3i32−3+3i32000000000000000000000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ5033−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323330000003−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000−3−3i32−3+3i3200000000000000000000000000000000000-11+i321−i32-11+i321−i32-11+i321−i32
χ516666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3000666000000000000-33−3i323+3i32-33−3i323+3i32-33−3i323+3i3200−3+3i3−3−3i3000000000000000000000000000000000000000000
χ526666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3000-3-3-30000000000006−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32003−3i323+3i32000000000000000000000000000000000000000000
χ536666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3000-3-3-3000000000000-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i32003−3i323+3i32000000000000000000000000000000000000000000
χ546666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3000-3-3-3000000000000-33−3i323+3i32-33−3i323+3i326−3+3i3−3−3i3003−3i323+3i32000000000000000000000000000000000000000000
χ556666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3000666000000000000-33+3i323−3i32-33+3i323−3i32-33+3i323−3i3200−3−3i3−3+3i3000000000000000000000000000000000000000000
χ566666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3000-3-3-30000000000006−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32003+3i323−3i32000000000000000000000000000000000000000000
χ576666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3000-3-3-3000000000000-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i32003+3i323−3i32000000000000000000000000000000000000000000
χ586666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3000-3-3-3000000000000-33+3i323−3i32-33+3i323−3i326−3−3i3−3+3i3003+3i323−3i32000000000000000000000000000000000000000000
χ5966−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3666000000-33−3i323+3i32-33−3i323+3i32-33−3i323+3i32000000000−3+3i3−3−3i300000000000000000000000000000000000000000000
χ6066−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3-3-3-30000006−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i320000000003−3i323+3i3200000000000000000000000000000000000000000000
χ6166−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3-3-3-3000000-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i320000000003−3i323+3i3200000000000000000000000000000000000000000000
χ6266−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3-3-3-3000000-33−3i323+3i32-33−3i323+3i326−3+3i3−3−3i30000000003−3i323+3i3200000000000000000000000000000000000000000000
χ6366−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3666000000-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32000000000−3−3i3−3+3i300000000000000000000000000000000000000000000
χ6466−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3-3-3-30000006−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i320000000003+3i323−3i3200000000000000000000000000000000000000000000
χ6566−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3-3-3-3000000-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i320000000003+3i323−3i3200000000000000000000000000000000000000000000
χ6666−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3-3-3-3000000-33+3i323−3i32-33+3i323−3i326−3−3i3−3+3i30000000003+3i323−3i3200000000000000000000000000000000000000000000
χ6799−9+9i32−9−9i32−9+9i32−9−9i329−9−9i329−9+9i3200000000000000000000000000000000000000000000000000000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ6899−9+9i32−9−9i32−9+9i32−9−9i329−9−9i329−9+9i320000000000000000000000000000000000000000000000000000000000000000-11−i321+i321−i321+i32-11+i32-11−i32
χ6999−9+9i32−9−9i32−9−9i329−9+9i32−9+9i32−9−9i32900000000000000000000000000000000000000000000000000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ7099−9+9i32−9−9i32−9−9i329−9+9i32−9+9i32−9−9i3290000000000000000000000000000000000000000000000000000000000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ7199−9−9i32−9+9i32−9+9i329−9−9i32−9−9i32−9+9i32900000000000000000000000000000000000000000000000000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ7299−9−9i32−9+9i32−9+9i329−9−9i32−9−9i32−9+9i3290000000000000000000000000000000000000000000000000000000000000000-11+i321−i321−i32-11+i321+i321−i32-1
χ7399−9−9i32−9+9i32−9−9i32−9+9i329−9+9i329−9−9i3200000000000000000000000000000000000000000000000000000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ7499−9−9i32−9+9i32−9−9i32−9+9i329−9+9i329−9−9i320000000000000000000000000000000000000000000000000000000000000000-11+i321−i321+i321−i32-11−i32-11+i32
χ7518-9000000003ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ56-3-30000000000000000000000−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ5000000000000000000000000000000000000000
χ7618-9000000003ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ5-36-30000000000000000000000−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ7000000000000000000000000000000000000000
χ7718-9000000003ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ5−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ5-3-360000000000000000000000−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ8000000000000000000000000000000000000000
χ7818-9000000003ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ5-3-360000000000000000000000−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ7000000000000000000000000000000000000000
χ7918-9000000003ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ56-3-30000000000000000000000−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ8000000000000000000000000000000000000000
χ8018-9000000003ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ5−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ5-36-30000000000000000000000−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ5000000000000000000000000000000000000000
χ8118-900000000−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ53ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ5-36-30000000000000000000000−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ8000000000000000000000000000000000000000
χ8218-900000000−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ53ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ5-3-360000000000000000000000−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ5000000000000000000000000000000000000000
χ8318-900000000−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ56-3-30000000000000000000000−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ7000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.