Finite Group Databasebeta

← Group #13136824

Character table — Group #13136824

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111111222222333333666666121212121212121212121212121212121212121212121212161616161616161616161616323232323232323232323232363636363636484848484848484848484848
order123366333666226666666666444412121212121212121212121212121212121212129999991818181818189999991818181818184412121212363636363636363636363636
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4111111111111111111111111-1-111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-111-1-1-1-11111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ6111111111111111111111111-1-111-1-1-1-11111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ711−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ3411−1−i32−1−i32−1+i32−1+i32ζ14+ζ26ζ14+ζ26−ζ26−ζ26−ζ14−ζ14−ζ22−ζ22ζ22+ζ34ζ22+ζ34−ζ34−ζ34
χ811−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ3411−1−i32−1−i32−1+i32−1+i32−ζ26−ζ26−ζ14−ζ14ζ14+ζ26ζ14+ζ26−ζ34−ζ34−ζ22−ζ22ζ22+ζ34ζ22+ζ34
χ911−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ2211−1−i32−1−i32−1+i32−1+i32−ζ14−ζ14ζ14+ζ26ζ14+ζ26−ζ26−ζ26ζ22+ζ34ζ22+ζ34−ζ34−ζ34−ζ22−ζ22
χ1011−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34-1-11+i321+i321−i321−i32−ζ14−ζ26−ζ14−ζ26ζ26ζ26ζ14ζ14ζ22ζ22−ζ22−ζ34−ζ22−ζ34ζ34ζ34
χ1111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34-1-11+i321+i321−i321−i32ζ26ζ26ζ14ζ14−ζ14−ζ26−ζ14−ζ26ζ34ζ34ζ22ζ22−ζ22−ζ34−ζ22−ζ34
χ1211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22-1-11+i321+i321−i321−i32ζ14ζ14−ζ14−ζ26−ζ14−ζ26ζ26ζ26−ζ22−ζ34−ζ22−ζ34ζ34ζ34ζ22ζ22
χ1311−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ1411−1+i32−1+i32−1−i32−1−i32−ζ22−ζ22−ζ34−ζ34ζ22+ζ34ζ22+ζ34−ζ26−ζ26ζ14+ζ26ζ14+ζ26−ζ14−ζ14
χ1411−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ2611−1+i32−1+i32−1−i32−1−i32ζ22+ζ34ζ22+ζ34−ζ22−ζ22−ζ34−ζ34ζ14+ζ26ζ14+ζ26−ζ14−ζ14−ζ26−ζ26
χ1511−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ2611−1+i32−1+i32−1−i32−1−i32−ζ34−ζ34ζ22+ζ34ζ22+ζ34−ζ22−ζ22−ζ14−ζ14−ζ26−ζ26ζ14+ζ26ζ14+ζ26
χ1611−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14-1-11−i321−i321+i321+i32ζ22ζ22ζ34ζ34−ζ22−ζ34−ζ22−ζ34ζ26ζ26−ζ14−ζ26−ζ14−ζ26ζ14ζ14
χ1711−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26-1-11−i321−i321+i321+i32−ζ22−ζ34−ζ22−ζ34ζ22ζ22ζ34ζ34−ζ14−ζ26−ζ14−ζ26ζ14ζ14ζ26ζ26
χ1811−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26-1-11−i321−i321+i321+i32ζ34ζ34−ζ22−ζ34−ζ22−ζ34ζ22ζ22ζ14ζ14ζ26ζ26−ζ14−ζ26−ζ14−ζ26
χ19222222-1-1-1-1-1-1222222-1-1-1-1-1-1002200002222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ20222222-1-1-1-1-1-1222222-1-1-1-1-1-1002200002222-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32000000000000000000
χ21222222-1-1-1-1-1-1222222-1-1-1-1-1-1002200002222-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32000000000000000000
χ2222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i3222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i3200220000−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i322ζ14+2ζ26−2ζ26−2ζ14−2ζ222ζ22+2ζ34−2ζ342ζ14+2ζ26−2ζ26−2ζ14−2ζ222ζ22+2ζ34−2ζ34−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34000000000000000000
χ2322−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i3222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i3200220000−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−2ζ26−2ζ142ζ14+2ζ26−2ζ34−2ζ222ζ22+2ζ34−2ζ26−2ζ142ζ14+2ζ26−2ζ34−2ζ222ζ22+2ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34000000000000000000
χ2422−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i3222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i3200220000−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−2ζ142ζ14+2ζ26−2ζ262ζ22+2ζ34−2ζ34−2ζ22−2ζ142ζ14+2ζ26−2ζ262ζ22+2ζ34−2ζ34−2ζ22ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22000000000000000000
χ2522−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i3222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i3200220000−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−2ζ22−2ζ342ζ22+2ζ34−2ζ262ζ14+2ζ26−2ζ14−2ζ22−2ζ342ζ22+2ζ34−2ζ262ζ14+2ζ26−2ζ14ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14000000000000000000
χ2622−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i3222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i3200220000−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i322ζ22+2ζ34−2ζ22−2ζ342ζ14+2ζ26−2ζ14−2ζ262ζ22+2ζ34−2ζ22−2ζ342ζ14+2ζ26−2ζ14−2ζ26−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26000000000000000000
χ2722−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i3222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i3200220000−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−2ζ342ζ22+2ζ34−2ζ22−2ζ14−2ζ262ζ14+2ζ26−2ζ342ζ22+2ζ34−2ζ22−2ζ14−2ζ262ζ14+2ζ26ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26000000000000000000
χ282-222-2-2222-2-2-2-22-2-222222-2-2-22i−2i002i−2i2i−2i0000000000000000-1-1-1-1-1-1111111-1-1-1-1-1-1111111000000i−ii−ii−ii−ii−ii−i
χ292-222-2-2222-2-2-2-22-2-222222-2-2-22i−2i002i−2i2i−2i00000000000000001+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000−ζ15ζ15−ζ15ζ15−ζ15ζ15−ζ3ζ3−ζ3ζ3−ζ3ζ3
χ302-222-2-2222-2-2-2-22-2-222222-2-2-22i−2i002i−2i2i−2i00000000000000001−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000−ζ3ζ3−ζ3ζ3−ζ3ζ3−ζ15ζ15−ζ15ζ15−ζ15ζ15
χ312-222-2-2222-2-2-2-22-2-222222-2-2-2−2i2i00−2i2i−2i2i0000000000000000-1-1-1-1-1-1111111-1-1-1-1-1-1111111000000−ii−ii−ii−ii−ii−ii
χ322-222-2-2222-2-2-2-22-2-222222-2-2-2−2i2i00−2i2i−2i2i00000000000000001+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000ζ15−ζ15ζ15−ζ15ζ15−ζ15ζ3−ζ3ζ3−ζ3ζ3−ζ3
χ332-222-2-2222-2-2-2-22-2-222222-2-2-2−2i2i00−2i2i−2i2i00000000000000001−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000ζ3−ζ3ζ3−ζ3ζ3−ζ3ζ15−ζ15ζ15−ζ15ζ15−ζ15
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χ352-2−1−i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i3-221+i31−i3−1−i3−1+i32−1−i3−1+i3-21+i31−i32i−2i00−2ζ152ζ15−2ζ32ζ30000000000000000ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34000000−ζ35ζ35−ζ23ζ23ζ23+ζ35−ζ23−ζ35−ζ7ζ7−ζ31ζ31ζ7+ζ31−ζ7−ζ31
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χ8066−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32-2-21−i31+i31−i31+i31−1+i32−1−i321−1+i32−1−i3200−2i2i00002ζ3−2ζ32ζ15−2ζ152ζ3−ζ6+ζ30ζ6+2ζ15−ζ30−2ζ3−ζ6+ζ30ζ6−2ζ15−ζ302ζ6+2ζ15+ζ30−2ζ3−2ζ6−2ζ15−ζ302ζ6−2ζ15+ζ302ζ3−2ζ6+2ζ15−ζ30−2ζ3−ζ6−2ζ15−2ζ302ζ3+ζ6+2ζ302ζ3−ζ6+2ζ15−2ζ30−2ζ3+ζ6+2ζ30000000000000000000000000000000000000000000
χ8166−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32-2-21−i31+i31−i31+i31−1+i32−1−i321−1+i32−1−i3200−2i2i00002ζ3−2ζ32ζ15−2ζ15ζ6+2ζ15−ζ302ζ3−ζ6+ζ30ζ6−2ζ15−ζ30−2ζ3−ζ6+ζ30−2ζ3−2ζ6−2ζ15−ζ302ζ6+2ζ15+ζ302ζ3−2ζ6+2ζ15−ζ302ζ6−2ζ15+ζ302ζ3+ζ6+2ζ30−2ζ3−ζ6−2ζ15−2ζ30−2ζ3+ζ6+2ζ302ζ3−ζ6+2ζ15−2ζ30000000000000000000000000000000000000000000
χ826-666-6-6666-6-6-62-222-2-2-2-2-22220000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i000000000000
χ836-666-6-6666-6-6-62-222-2-2-2-2-2222000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i000000000000
χ846-6−3−3i3−3+3i33+3i33−3i36−3−3i3−3+3i3-63+3i33−3i32-2−1−i3−1+i31+i31−i3-21+i31−i32−1−i3−1+i30000000000000000000000000000000000000000000000002i−2i−2ζ152ζ15−2ζ32ζ3000000000000
χ856-6−3−3i3−3+3i33+3i33−3i36−3−3i3−3+3i3-63+3i33−3i32-2−1−i3−1+i31+i31−i3-21+i31−i32−1−i3−1+i3000000000000000000000000000000000000000000000000−2i2i2ζ15−2ζ152ζ3−2ζ3000000000000
χ866-6−3+3i3−3−3i33−3i33+3i36−3+3i3−3−3i3-63−3i33+3i32-2−1+i3−1−i31−i31+i3-21−i31+i32−1+i3−1−i30000000000000000000000000000000000000000000000002i−2i−2ζ32ζ3−2ζ152ζ15000000000000
χ876-6−3+3i3−3−3i33−3i33+3i36−3+3i3−3−3i3-63−3i33+3i32-2−1+i3−1−i31−i31+i3-21−i31+i32−1+i3−1−i3000000000000000000000000000000000000000000000000−2i2i2ζ3−2ζ32ζ15−2ζ15000000000000
χ8812-121212-12-12-6-6-66664-444-4-4222-2-2-2000000000000000000000000000000000000000000000000000000000000000000
χ8912-12−6−6i3−6+6i36+6i36−6i3-63+3i33−3i36−3−3i3−3+3i34-4−2−2i3−2+2i32+2i32−2i32−1−i3−1+i3-21+i31−i3000000000000000000000000000000000000000000000000000000000000000000
χ9012-12−6+6i3−6−6i36−6i36+6i3-63−3i33+3i36−3+3i3−3−3i34-4−2+2i3−2−2i32−2i32+2i32−1+i3−1−i3-21−i31+i3000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.