Finite Group Databasebeta

← Group #72343883

Character table — Group #72343883

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size112224466668881212121212121212161616161616161624242424323232323232323232323232112224466668881212121212121212161616161616161624242424323232323232323232323232
order1222444222424422224444336612121212444466666612121212121222224442224244222244446666121212124444666666121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111−1−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−i32−1−i32−1+i32−1+i32−1+i321111111111111111111111−1−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−i32−1−i32−1+i32−1+i32−1+i32
χ31111111111111111111111−1+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+i32−1+i32−1−i32−1−i32−1−i321111111111111111111111−1+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+i32−1+i32−1−i32−1−i32−1−i32
χ411111-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-111-111-11-1-11-1-111111-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-111-111-11-1-11-1-1
χ511111-1-11111-1-1-111111111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i321+i321+i32−1+i321−i321−i3211111-1-11111-1-1-111111111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i321+i321+i32−1+i321−i321−i32
χ611111-1-11111-1-1-111111111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i321−i321−i32−1−i321+i321+i3211111-1-11111-1-1-111111111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i321−i321−i32−1−i321+i321+i32
χ7111-1-1111-11-1-11-111-1-111-1-11111111111-1-11-1-11-1-1-11-1-11-1111-1-1111-11-1-11-111-1-111-1-11111111111-1-11-1-11-1-1-11-1-11-1
χ8111-1-1111-11-1-11-111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i321+i321+i32−1+i321−i321−i321+i32−1−i321+i321−i32−1+i321−i32111-1-1111-11-1-11-111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i321+i321+i32−1+i321−i321−i321+i32−1−i321+i321−i32−1+i321−i32
χ9111-1-1111-11-1-11-111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i321−i321−i32−1−i321+i321+i321−i32−1+i321−i321+i32−1−i321+i32111-1-1111-11-1-11-111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i321−i321−i32−1−i321+i321+i321−i32−1+i321−i321+i32−1−i321+i32
χ10111-1-1-1-11-11-11-1111-1-111-1-11111-1-1-1-1-1-1111-111-11-1-11-1-11111-1-1-1-11-11-11-1111-1-111-1-11111-1-1-1-1-1-1111-111-11-1-11-1-11
χ11111-1-1-1-11-11-11-1111-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111−1−i321+i32−1−i32−1+i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32111-1-1-1-11-11-11-1111-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111−1−i321+i32−1−i32−1+i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ12111-1-1-1-11-11-11-1111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111−1+i321−i32−1+i32−1−i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32111-1-1-1-11-11-11-1111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111−1+i321−i32−1+i32−1−i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ1311-11-111-111-1-1-111-11-11-11-1111111111-11-1-11-1-11-1-1-11-1-1111-11-111-111-1-1-111-11-11-11-1111111111-11-1-11-1-11-1-1-11-1-11
χ1411-11-111-111-1-1-111-11-11-11-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-11+i32−1−i321+i321−i32−1+i321−i321+i321+i32−1−i321−i321−i32−1+i3211-11-111-111-1-1-111-11-11-11-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-11+i32−1−i321+i321−i32−1+i321−i321+i321+i32−1−i321−i321−i32−1+i32
χ1511-11-111-111-1-1-111-11-11-11-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-11−i32−1+i321−i321+i32−1−i321+i321−i321−i32−1+i321+i321+i32−1−i3211-11-111-111-1-1-111-11-11-11-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-11−i32−1+i321−i321+i32−1−i321+i321−i321−i32−1+i321+i321+i32−1−i32
χ1611-11-1-1-1-111-111-11-11-11-11-11111-1-1-1-1-11-11-111-111-11-1-11-111-11-1-1-1-111-111-11-11-11-11-11111-1-1-1-1-11-11-111-111-11-1-11-1
χ1711-11-1-1-1-111-111-11-11-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-111+i32−1−i32−1−i321−i32−1+i32−1+i321+i32−1−i321+i321−i32−1+i321−i3211-11-1-1-1-111-111-11-11-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-111+i32−1−i32−1−i321−i32−1+i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ1811-11-1-1-1-111-111-11-11-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-111−i32−1+i32−1+i321+i32−1−i32−1−i321−i32−1+i321−i321+i32−1−i321+i3211-11-1-1-1-111-111-11-11-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-111−i32−1+i32−1+i321+i32−1−i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ1911-1-1111-1-1111-1-11-1-111-1-11111111111-1-11-1-11-1-111-1-11-1-111-1-1111-1-1111-1-11-1-111-1-11111111111-1-11-1-11-1-111-1-11-1-1
χ2011-1-1111-1-1111-1-11-1-111-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-111+i321+i32−1−i321−i321−i32−1+i32−1−i321+i321+i32−1+i321−i321−i3211-1-1111-1-1111-1-11-1-111-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-111+i321+i32−1−i321−i321−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ2111-1-1111-1-1111-1-11-1-111-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-111−i321−i32−1+i321+i321+i32−1−i32−1+i321−i321−i32−1−i321+i321+i3211-1-1111-1-1111-1-11-1-111-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-111−i321−i32−1+i321+i321+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ2211-1-11-1-1-1-111-1111-1-111-1-111111-1-1-1-1-111-1-1-1-1-1-1-111111111-1-11-1-1-1-111-1111-1-111-1-111111-1-1-1-1-111-1-1-1-1-1-1-1111111
χ2311-1-11-1-1-1-111-1111-1-111-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-11+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11-1-1-1-111-1111-1-111-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-11+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ2411-1-11-1-1-1-111-1111-1-111-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11-1-1-1-111-1111-1-111-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ2533333333333333-1-1-1-1-1-1-1-100000000-1-1-1-100000000000033333333333333-1-1-1-1-1-1-1-100000000-1-1-1-1000000000000
χ2633333-3-33333-3-3-3-1-1-1-1-1-1-1-100000000111100000000000033333-3-33333-3-3-3-1-1-1-1-1-1-1-1000000001111000000000000
χ27333-3-3333-33-3-33-3-1-111-1-11100000000-1-111000000000000333-3-3333-33-3-33-3-1-111-1-11100000000-1-111000000000000
χ28333-3-3-3-33-33-33-33-1-111-1-1110000000011-1-1000000000000333-3-3-3-33-33-33-33-1-111-1-1110000000011-1-1000000000000
χ2933-33-333-333-3-3-33-11-11-11-1100000000-11-1100000000000033-33-333-333-3-3-33-11-11-11-1100000000-11-11000000000000
χ3033-33-3-3-3-333-333-3-11-11-11-11000000001-11-100000000000033-33-3-3-3-333-333-3-11-11-11-11000000001-11-1000000000000
χ3133-3-3333-3-3333-3-3-111-1-111-100000000-111-100000000000033-3-3333-3-3333-3-3-111-1-111-100000000-111-1000000000000
χ3233-3-33-3-3-3-333-333-111-1-111-1000000001-1-1100000000000033-3-33-3-3-3-333-333-111-1-111-1000000001-1-11000000000000
χ336666600-2-2-2-2000222-2-2-2-220000000000000000000000006666600-2-2-2-2000222-2-2-2-22000000000000000000000000
χ346666600-2-2-2-2000-2-2-22222-20000000000000000000000006666600-2-2-2-2000-2-2-22222-2000000000000000000000000
χ35666-6-600-22-2200022-22-2-22-2000000000000000000000000666-6-600-22-2200022-22-2-22-2000000000000000000000000
χ36666-6-600-22-22000-2-22-222-22000000000000000000000000666-6-600-22-22000-2-22-222-22000000000000000000000000
χ3766-66-6002-2-220002-222-22-2-200000000000000000000000066-66-6002-2-220002-222-22-2-2000000000000000000000000
χ3866-66-6002-2-22000-22-2-22-22200000000000000000000000066-66-6002-2-22000-22-2-22-222000000000000000000000000
χ3966-6-660022-2-20002-2-2-2-222200000000000000000000000066-6-660022-2-20002-2-2-2-2222000000000000000000000000
χ4066-6-660022-2-2000-22222-2-2-200000000000000000000000066-6-660022-2-2000-22222-2-2-2000000000000000000000000
χ418-80004i−4i00000000000000022-2-22i−2i2i−2i00000000000000008-80004i−4i00000000000000022-2-22i−2i2i−2i0000000000000000
χ428-80004i−4i000000000000000−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ700000000000000008-80004i−4i000000000000000−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ70000000000000000
χ438-80004i−4i000000000000000−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ1100000000000000008-80004i−4i000000000000000−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ110000000000000000
χ448-8000−4i4i00000000000000022-2-2−2i2i−2i2i00000000000000008-8000−4i4i00000000000000022-2-2−2i2i−2i2i0000000000000000
χ458-8000−4i4i000000000000000−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ700000000000000008-8000−4i4i000000000000000−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ70000000000000000
χ468-8000−4i4i000000000000000−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ1100000000000000008-8000−4i4i000000000000000−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ110000000000000000
χ471111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ481111111111111111111111−1−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−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32
χ491111111111111111111111−1+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+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32
χ5011111-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-111-111-11-1-11-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11-111-111
χ5111111-1-11111-1-1-111111111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i321+i321+i32−1+i321−i321−i32-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3211111+i321+i32−1−i321−i321−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32
χ5211111-1-11111-1-1-111111111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i321−i321−i32−1−i321+i321+i32-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3211111−i321−i32−1+i321+i321+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32
χ53111-1-1111-11-1-11-111-1-111-1-11111111111-1-11-1-11-1-1-11-1-11-1-1-1-111-1-1-11-111-11-1-111-1-111-1-1-1-1-1-1-1-1-1-111-111-1111-111-11
χ54111-1-1111-11-1-11-111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i321+i321+i32−1+i321−i321−i321+i32−1−i321+i321−i32−1+i321−i32-1-1-111-1-1-11-111-11-1-111-1-1111+i321−i321+i321−i321+i321+i321−i321−i32-1-1111+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ55111-1-1111-11-1-11-111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i321−i321−i32−1−i321+i321+i321−i32−1+i321−i321+i32−1−i321+i32-1-1-111-1-1-11-111-11-1-111-1-1111−i321+i321−i321+i321−i321−i321+i321+i32-1-1111−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ56111-1-1-1-11-11-11-1111-1-111-1-11111-1-1-1-1-1-1111-111-11-1-11-1-11-1-1-11111-11-11-11-1-1-111-1-111-1-1-1-1111111-1-1-11-1-11-111-111-1
χ57111-1-1-1-11-11-11-1111-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111−1−i321+i32−1−i32−1+i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32-1-1-11111-11-11-11-1-1-111-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3211-1-11+i32−1−i321+i321−i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32
χ58111-1-1-1-11-11-11-1111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111−1+i321−i32−1+i32−1−i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32-1-1-11111-11-11-11-1-1-111-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3211-1-11−i32−1+i321−i321+i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ5911-11-111-111-1-1-111-11-11-11-1111111111-11-1-11-1-11-1-1-11-1-11-1-11-11-1-11-1-1111-1-11-11-11-11-1-1-1-1-1-1-1-1-11-111-111-1111-111-1
χ6011-11-111-111-1-1-111-11-11-11-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-11+i32−1−i321+i321−i32−1+i321−i321+i321+i32−1−i321−i321−i32−1+i32-1-11-11-1-11-1-1111-1-11-11-11-111+i321−i321+i321−i321+i321+i321−i321−i32-11-11−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1+i32−1+i321−i32
χ6111-11-111-111-1-1-111-11-11-11-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-11−i32−1+i321−i321+i32−1−i321+i321−i321−i32−1+i321+i321+i32−1−i32-1-11-11-1-11-1-1111-1-11-11-11-111−i321+i321−i321+i321−i321−i321+i321+i32-11-11−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ6211-11-1-1-1-111-111-11-11-11-11-11111-1-1-1-1-11-11-111-111-11-1-11-1-1-11-11111-1-11-1-11-11-11-11-11-1-1-1-111111-11-11-1-11-1-11-111-11
χ6311-11-1-1-1-111-111-11-11-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-111+i32−1−i32−1−i321−i32−1+i32−1+i321+i32−1−i321+i321−i32−1+i321−i32-1-11-11111-1-11-1-11-11-11-11-111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-11-1−1−i321+i321+i32−1+i321−i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ6411-11-1-1-1-111-111-11-11-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-111−i32−1+i32−1+i321+i32−1−i32−1−i321−i32−1+i321−i321+i32−1−i321+i32-1-11-11111-1-11-1-11-11-11-11-111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-11-1−1+i321−i321−i32−1−i321+i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ6511-1-1111-1-1111-1-11-1-111-1-11111111111-1-11-1-11-1-111-1-11-1-1-1-111-1-1-111-1-1-111-111-1-111-1-1-1-1-1-1-1-1-1-111-111-111-1-111-111
χ6611-1-1111-1-1111-1-11-1-111-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-111+i321+i32−1−i321−i321−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1-111-1-1-111-1-1-111-111-1-111-11+i321−i321+i321−i321+i321+i321−i321−i32-111-1−1−i32−1−i321+i32−1+i32−1+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32
χ6711-1-1111-1-1111-1-11-1-111-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-111−i321−i32−1+i321+i321+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1-111-1-1-111-1-1-111-111-1-111-11−i321+i321−i321+i321−i321−i321+i321+i32-111-1−1+i32−1+i321−i32−1−i32−1−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32
χ6811-1-11-1-1-1-111-1111-1-111-1-111111-1-1-1-1-111-1-1-1-1-1-1-1111111-1-111-11111-1-11-1-1-111-1-111-1-1-1-1-111111-1-11111111-1-1-1-1-1-1
χ6911-1-11-1-1-1-111-1111-1-111-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-11+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111-11111-1-11-1-1-111-1-111-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32
χ7011-1-11-1-1-1-111-1111-1-111-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111-11111-1-11-1-1-111-1-111-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32
χ7133333333333333-1-1-1-1-1-1-1-100000000-1-1-1-1000000000000-3-3-3-3-3-3-3-3-3-3-3-3-3-311111111000000001111000000000000
χ7233333-3-33333-3-3-3-1-1-1-1-1-1-1-1000000001111000000000000-3-3-3-3-333-3-3-3-33331111111100000000-1-1-1-1000000000000
χ73333-3-3333-33-3-33-3-1-111-1-11100000000-1-111000000000000-3-3-333-3-3-33-333-3311-1-111-1-10000000011-1-1000000000000
χ74333-3-3-3-33-33-33-33-1-111-1-1110000000011-1-1000000000000-3-3-33333-33-33-33-311-1-111-1-100000000-1-111000000000000
χ7533-33-333-333-3-3-33-11-11-11-1100000000-11-11000000000000-3-33-33-3-33-3-3333-31-11-11-11-1000000001-11-1000000000000
χ7633-33-3-3-3-333-333-3-11-11-11-11000000001-11-1000000000000-3-33-33333-3-33-3-331-11-11-11-100000000-11-11000000000000
χ7733-3-3333-3-3333-3-3-111-1-111-100000000-111-1000000000000-3-333-3-3-333-3-3-3331-1-111-1-11000000001-1-11000000000000
χ7833-3-33-3-3-3-333-333-111-1-111-1000000001-1-11000000000000-3-333-33333-3-33-3-31-1-111-1-1100000000-111-1000000000000
χ796666600-2-2-2-2000222-2-2-2-22000000000000000000000000-6-6-6-6-6002222000-2-2-22222-2000000000000000000000000
χ806666600-2-2-2-2000-2-2-22222-2000000000000000000000000-6-6-6-6-6002222000222-2-2-2-22000000000000000000000000
χ81666-6-600-22-2200022-22-2-22-2000000000000000000000000-6-6-666002-22-2000-2-22-222-22000000000000000000000000
χ82666-6-600-22-22000-2-22-222-22000000000000000000000000-6-6-666002-22-200022-22-2-22-2000000000000000000000000
χ8366-66-6002-2-220002-222-22-2-2000000000000000000000000-6-66-6600-222-2000-22-2-22-222000000000000000000000000
χ8466-66-6002-2-22000-22-2-22-222000000000000000000000000-6-66-6600-222-20002-222-22-2-2000000000000000000000000
χ8566-6-660022-2-20002-2-2-2-2222000000000000000000000000-6-666-600-2-222000-22222-2-2-2000000000000000000000000
χ8666-6-660022-2-2000-22222-2-2-2000000000000000000000000-6-666-600-2-2220002-2-2-2-2222000000000000000000000000
χ878-80004i−4i00000000000000022-2-22i−2i2i−2i0000000000000000-88000−4i4i000000000000000-2-222−2i2i−2i2i0000000000000000
χ888-80004i−4i000000000000000−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ70000000000000000-88000−4i4i0000000000000001+i31−i3−1−i3−1+i3−2ζ112ζ11−2ζ72ζ70000000000000000
χ898-80004i−4i000000000000000−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ110000000000000000-88000−4i4i0000000000000001−i31+i3−1+i3−1−i3−2ζ72ζ7−2ζ112ζ110000000000000000
χ908-8000−4i4i00000000000000022-2-2−2i2i−2i2i0000000000000000-880004i−4i000000000000000-2-2222i−2i2i−2i0000000000000000
χ918-8000−4i4i000000000000000−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ70000000000000000-880004i−4i0000000000000001+i31−i3−1−i3−1+i32ζ11−2ζ112ζ7−2ζ70000000000000000
χ928-8000−4i4i000000000000000−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ110000000000000000-880004i−4i0000000000000001−i31+i3−1+i3−1−i32ζ7−2ζ72ζ11−2ζ110000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.