Finite Group Databasebeta

← Group #11722451

Character table — Group #11722451

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11111122222222299999999999999999912121212181818181818181818181818181818181818181818181818181818242424242424
order1233664441212121212124488881212121224242424242424243366222666666888888242424242424242424242424121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3111111111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-1-1iii−i−i−iiiiiii−i−i−i−i−i−i111111
χ4111111111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−i−i−i−iiiiiii111111
χ51111111-1-111-1-1-1-111111111111111111111111-1-111-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1
χ61111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-111-111-1-11111-1-1111111-1-1-1-1
χ71111111-1-111-1-1-1-1-1-1ii−i−i-1-1-1-1iiii−i−i−i−i1111-111-1-11111i−i−i−iiiii−i−i−i−i−i−iiiii11-1-1-1-1
χ81111111-1-111-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−iiiii1111-111-1-11111−iiii−i−i−i−iiiiiii−i−i−i−i11-1-1-1-1
χ9111111-11-1-1-111-1-11111111111111111111111-11-1-1-111-1-1-11-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1
χ10111111-11-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-111-1-11-111-1111-1-11111-1-111-1-111-1-1
χ11111111-11-1-1-111-1-1-1-1ii−i−i-1-1-1-1iiii−i−i−i−i11111-1111-1-111−ii−ii−ii−i−iii−i−iii−i−iii-1-111-1-1
χ12111111-11-1-1-111-1-1-1-1−i−iii-1-1-1-1−i−i−i−iiiii11111-1111-1-111i−ii−ii−iii−i−iii−i−iii−i−i-1-111-1-1
χ13111111-1-11-1-1-1-1111111111111111111111111-1-11-1-1-1-111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-111
χ14111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-111-11111-1-11111-1-1-1-1-1-111
χ15111111-1-11-1-1-1-111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i111111-11111-1-1−i−iiii−i−i−i−i−iiiiiii−i−i-1-1-1-111
χ16111111-1-11-1-1-1-111-1-1−i−iii-1-1-1-1−i−i−i−iiiii111111-11111-1-1ii−i−i−iiiiii−i−i−i−i−i−iii-1-1-1-111
χ172-222-2-20000000002i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i2i−2i−2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1322-2-2000000000000000000000000000000000
χ182-222-2-20000000002i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i2i−2i−2i−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1322-2-2000000000000000000000000000000000
χ192-222-2-2000000000−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2i−2i2i2i−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ2322-2-2000000000000000000000000000000000
χ202-222-2-2000000000−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2i−2i2i2i2ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2322-2-2000000000000000000000000000000000
χ2133−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3211ii−i−i−1−i32−1+i32−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ220000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32iii−i−i−iζ14ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22000000
χ2233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3211−i−iii−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ220000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−i−i−iiii−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22ζ14ζ22000000
χ2333−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-111111+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000-1-1-11+i321−i321+i321−i321+i321−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000
χ2433−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i320000-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32000000
χ2533−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3211ii−i−i−1−i32−1+i32−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ2200001-1-1−1−i32−1+i321+i321−i321+i321−i32i−i−i−iiiζ14ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22000000
χ2633−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3211−i−iii−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ2200001-1-1−1−i32−1+i321+i321−i321+i321−i32−iiii−i−i−ζ14−ζ22ζ14ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22000000
χ2733−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-111111+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000-1111+i321−i32−1−i32−1+i32−1−i32−1+i321-1-11-1-1−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32000000
χ2833−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i320000-1111+i321−i32−1−i32−1+i32−1−i32−1+i32-111-1111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i32000000
χ2933−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i3211ii−i−i−1−i32−1+i32−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ220000-11-11+i321−i32−1−i32−1+i321+i321−i32−ii−ii−ii−ζ14−ζ22ζ14ζ22−ζ14−ζ22ζ14ζ22−ζ14−ζ22ζ14ζ22000000
χ3033−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i3211−i−iii−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ220000-11-11+i321−i32−1−i32−1+i321+i321−i32i−ii−ii−iζ14ζ22−ζ14−ζ22ζ14ζ22−ζ14−ζ22ζ14ζ22−ζ14−ζ22000000
χ3133−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32-1-111111+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200001-11−1−i32−1+i321+i321−i32−1−i32−1+i32-11-1-11-11−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32000000
χ3233−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i3200001-11−1−i32−1+i321+i321−i32−1−i32−1+i321-111-11−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32000000
χ3333−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i3211ii−i−i−1−i32−1+i32−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ220000-1-111+i321−i321+i321−i32−1−i32−1+i32−i−iiii−i−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22000000
χ3433−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i3211−i−iii−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ220000-1-111+i321−i321+i321−i32−1−i32−1+i32ii−i−i−iiζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22000000
χ3533−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32-1-111111+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000011-1−1−i32−1+i32−1−i32−1+i321+i321−i32-1-11-1-111−i321+i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32000000
χ3633−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32000011-1−1−i32−1+i32−1−i32−1+i321+i321−i3211-111-1−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32000000
χ3733−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3211ii−i−i−1+i32−1−i32−1+i32−1−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ140000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32iii−i−i−iζ22ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14000000
χ3833−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3211−i−iii−1+i32−1−i32−1+i32−1−i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ140000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−i−i−iiii−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14ζ22ζ14000000
χ3933−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-111111−i321+i321−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000-1-1-11−i321+i321−i321+i321−i321+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000
χ4033−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11−i321+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i320000-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32000000
χ4133−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3211ii−i−i−1+i32−1−i32−1+i32−1−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ1400001-1-1−1+i32−1−i321−i321+i321−i321+i32i−i−i−iiiζ22ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14000000
χ4233−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3211−i−iii−1+i32−1−i32−1+i32−1−i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ1400001-1-1−1+i32−1−i321−i321+i321−i321+i32−iiii−i−i−ζ22−ζ14ζ22ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14000000
χ4333−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-111111−i321+i321−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000-1111−i321+i32−1+i32−1−i32−1+i32−1−i321-1-11-1-1−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32000000
χ4433−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-1-1-1-1-11−i321+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i320000-1111−i321+i32−1+i32−1−i32−1+i32−1−i32-111-1111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000
χ4533−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i3211ii−i−i−1+i32−1−i32−1+i32−1−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ140000-11-11−i321+i32−1+i32−1−i321−i321+i32−ii−ii−ii−ζ22−ζ14ζ22ζ14−ζ22−ζ14ζ22ζ14−ζ22−ζ14ζ22ζ14000000
χ4633−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i3211−i−iii−1+i32−1−i32−1+i32−1−i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ140000-11-11−i321+i32−1+i32−1−i321−i321+i32i−ii−ii−iζ22ζ14−ζ22−ζ14ζ22ζ14−ζ22−ζ14ζ22ζ14−ζ22−ζ14000000
χ4733−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i32-1-111111−i321+i321−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200001-11−1+i32−1−i321−i321+i32−1+i32−1−i32-11-1-11-11+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32000000
χ4833−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i32-1-1-1-1-1-11−i321+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i3200001-11−1+i32−1−i321−i321+i32−1+i32−1−i321-111-11−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32000000
χ4933−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i3211ii−i−i−1+i32−1−i32−1+i32−1−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ140000-1-111−i321+i321−i321+i32−1+i32−1−i32−i−iiii−i−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14000000
χ5033−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i3211−i−iii−1+i32−1−i32−1+i32−1−i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ140000-1-111−i321+i321−i321+i32−1+i32−1−i32ii−i−i−iiζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14000000
χ5133−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i32-1-111111−i321+i321−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000011-1−1+i32−1−i32−1+i32−1−i321−i321+i32-1-11-1-111+i321−i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32000000
χ5233−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i32-1-1-1-1-1-11−i321+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32000011-1−1+i32−1−i32−1+i32−1−i321−i321+i3211-111-1−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32000000
χ534444444444444440000000000000000001-21-20000000000000000000000000001-21-21-2
χ54444444444444444000000000000000000-21-21000000000000000000000000000-21-21-21
χ554444444-4-444-4-4-4-40000000000000000001-21-20000000000000000000000000001-2-12-12
χ564444444-4-444-4-4-4-4000000000000000000-21-21000000000000000000000000000-212-12-1
χ57444444-44-4-4-444-4-40000000000000000001-21-2000000000000000000000000000-121-2-12
χ58444444-44-4-4-444-4-4000000000000000000-21-210000000000000000000000000002-1-212-1
χ59444444-4-44-4-4-4-4440000000000000000001-21-2000000000000000000000000000-12-121-2
χ60444444-4-44-4-4-4-444000000000000000000-21-210000000000000000000000000002-12-1-21
χ616-6−3−3i3−3+3i33+3i33−3i30000000002i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ222ζ14−2ζ22−2ζ142ζ52ζ13−2ζ5−2ζ13−2ζ23−2ζ72ζ232ζ70000000000000000000000000000000000000
χ626-6−3−3i3−3+3i33+3i33−3i30000000002i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ222ζ14−2ζ22−2ζ14−2ζ5−2ζ132ζ52ζ132ζ232ζ7−2ζ23−2ζ70000000000000000000000000000000000000
χ636-6−3−3i3−3+3i33+3i33−3i3000000000−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ22−2ζ142ζ222ζ14−2ζ23−2ζ72ζ232ζ72ζ52ζ13−2ζ5−2ζ130000000000000000000000000000000000000
χ646-6−3−3i3−3+3i33+3i33−3i3000000000−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ22−2ζ142ζ222ζ142ζ232ζ7−2ζ23−2ζ7−2ζ5−2ζ132ζ52ζ130000000000000000000000000000000000000
χ656-6−3+3i3−3−3i33−3i33+3i30000000002i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ142ζ22−2ζ14−2ζ222ζ132ζ5−2ζ13−2ζ5−2ζ7−2ζ232ζ72ζ230000000000000000000000000000000000000
χ666-6−3+3i3−3−3i33−3i33+3i30000000002i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ142ζ22−2ζ14−2ζ22−2ζ13−2ζ52ζ132ζ52ζ72ζ23−2ζ7−2ζ230000000000000000000000000000000000000
χ676-6−3+3i3−3−3i33−3i33+3i3000000000−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ14−2ζ222ζ142ζ22−2ζ7−2ζ232ζ72ζ232ζ132ζ5−2ζ13−2ζ50000000000000000000000000000000000000
χ686-6−3+3i3−3−3i33−3i33+3i3000000000−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ14−2ζ222ζ142ζ222ζ72ζ23−2ζ7−2ζ23−2ζ13−2ζ52ζ132ζ50000000000000000000000000000000000000
χ698-888-8-80000000000000000000000000002-4-24000000000000000000000000000000000
χ708-888-8-8000000000000000000000000000-424-2000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.