Finite Group Databasebeta

← Group #13147366

Character table — Group #13147366

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111112224444444449999991212121218181818181818181818181818181824242424242436363636363636363636363636363636363636363636363636363648484848
order123366412122266668242444121212123366266888824242424242424241212242424244444888881212121212121212242424242424242424246666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ3111111111111111111-1-1-1-1-1-11111-1-1-1ii−i−iiiii−i−i−i−i111111-1-1i−i-1ii−i−i-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111
χ4111111111111111111-1-1-1-1-1-11111-1-1-1−i−iii−i−i−i−iiiii111111-1-1−ii-1−i−iii-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111
χ51111111111-111-1-1-1-1-1111111111111111111111111111-1-1-1-11-1-1-1-11-11-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ61111111111-111-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-11-1111-1-11111-1-1-1-111-1-11111-1-1
χ71111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1ii−i−iiiii−i−i−i−i11-1-1-1-1-11−ii1i−i−ii-1-111−i−iii11ii−i−i−i−iii11-1-1
χ81111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1−i−iii−i−i−i−iiiii11-1-1-1-1-11i−i1−iii−i-1-111ii−i−i11−i−iiiii−i−i11-1-1
χ9111111111-11-1-111-1-1-1111111111111111111111111111-1-1-1-1-11-1-1-1-11-11-1-111-1-1-1-1-1-1-1-111-1-111-1-111
χ10111111111-11-1-111-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-11-11-1-1-1111111-1-111-1-111-1-1-1-111
χ11111111111-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-1ii−i−iiiii−i−i−i−i11-1-1-1-11-1−ii1−iii−i11-1-1−i−iii11−i−iiiii−i−i-1-111
χ12111111111-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-1−i−iii−i−i−i−iiiii11-1-1-1-11-1i−i1i−i−ii11-1-1ii−i−i11ii−i−i−i−iii-1-111
χ13111111111-1-1-1-1-1-11111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ14111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ15111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1ii−i−iiiii−i−i−i−i11111111i−i-1−i−iii1111ii−i−i-1-1−i−i−i−iiiii-1-1-1-1
χ16111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1−i−iii−i−i−i−iiiii11111111−ii-1ii−i−i1111−i−iii-1-1iiii−i−i−i−i-1-1-1-1
χ17222222-2-2-20000000002222222222-2-2-22-22-222-2-222-2-2-2-200000000000000000000000000000000000
χ18222222-2-2-20000000002222222222-2-2-2-22-22-2-222-2-222-2-200000000000000000000000000000000000
χ19222222-2-2-2000000000-2-2-2-2-2-222222222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-2-200000000000000000000000000000000000
χ20222222-2-2-2000000000-2-2-2-2-2-22222222−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-2-200000000000000000000000000000000000
χ2133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1−i32−1+i32−1+i3200001−1−i32−1+i32ii−i−iζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ2200000011i−i1ii−i−i−1−i32−1+i32−1−i32−1+i32ζ14ζ22−ζ14−ζ22−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ220000
χ2233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1−i32−1+i32−1+i3200001−1−i32−1+i32−i−iii−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ2200000011−ii1−i−iii−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22ζ14ζ22−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ220000
χ2333−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321+i321−i321−i320000-11+i321−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000-1-111-111111+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000
χ2433−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321+i321−i321−i320000-11+i321−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i320000
χ2533−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323-3−3−3i32−3+3i323+3i323−3i32-33+3i323−3i3211−1−i32−1−i32−1+i32−1+i3200001−1−i32−1+i32ii−i−iζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ220000001-1−ii-1i−i−ii−1−i32−1+i321+i321−i32−ζ14−ζ22ζ14ζ221+i321−i32ζ14ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ220000
χ2633−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323-3−3−3i32−3+3i323+3i323−3i32-33+3i323−3i3211−1−i32−1−i32−1+i32−1+i3200001−1−i32−1+i32−i−iii−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ220000001-1i−i-1−iii−i−1−i32−1+i321+i321−i32ζ14ζ22−ζ14−ζ221+i321−i32−ζ14−ζ22ζ14ζ22ζ14ζ22−ζ14−ζ220000
χ2733−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323-3−3−3i32−3+3i323+3i323−3i32-33+3i323−3i32-1-11+i321+i321−i321−i320000-11+i321−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000-11-1-111-11-11+i321−i32−1−i32−1+i321−i321+i321−i321+i32−1−i32−1+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i320000
χ2833−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323-3−3−3i32−3+3i323+3i323−3i32-33+3i323−3i32-1-11+i321+i321−i321−i320000-11+i321−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000-11111-11-111+i321−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i320000
χ2933−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-333+3i323−3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1−i32−1+i32−1+i3200001−1−i32−1+i32ii−i−iζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22000000-11−ii-1−iii−i1+i321−i32−1−i32−1+i32−ζ14−ζ22ζ14ζ221+i321−i32−ζ14−ζ22ζ14ζ22ζ14ζ22−ζ14−ζ220000
χ3033−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-333+3i323−3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1−i32−1+i32−1+i3200001−1−i32−1+i32−i−iii−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22000000-11i−i-1i−i−ii1+i321−i32−1−i32−1+i32ζ14ζ22−ζ14−ζ221+i321−i32ζ14ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ220000
χ3133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-333+3i323−3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321+i321−i321−i320000-11+i321−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000001-1-1-11-11-11−1−i32−1+i321+i321−i321−i321+i321−i321+i32−1−i32−1+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i320000
χ3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-333+3i323−3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321+i321−i321−i320000-11+i321−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i320000001-11111-11-1−1−i32−1+i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i320000
χ3333−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i3211−1−i32−1−i32−1+i32−1+i3200001−1−i32−1+i32ii−i−iζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22000000-1-1i−i1−i−iii1+i321−i321+i321−i32ζ14ζ22−ζ14−ζ22−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ220000
χ3433−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i3211−1−i32−1−i32−1+i32−1+i3200001−1−i32−1+i32−i−iii−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22000000-1-1−ii1ii−i−i1+i321−i321+i321−i32−ζ14−ζ22ζ14ζ22−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ220000
χ3533−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i32-1-11+i321+i321−i321−i320000-11+i321−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000001111-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i320000
χ3633−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i32-1-11+i321+i321−i321−i320000-11+i321−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000011-1-1-11111−1−i32−1+i32−1−i32−1+i321−i321+i321−i321+i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000
χ3733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1+i32−1−i32−1−i3200001−1+i32−1−i32ii−i−iζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ1400000011i−i1ii−i−i−1+i32−1−i32−1+i32−1−i32ζ22ζ14−ζ22−ζ14−1+i32−1−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ140000
χ3833−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1+i32−1−i32−1−i3200001−1+i32−1−i32−i−iii−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ1400000011−ii1−i−iii−1+i32−1−i32−1+i32−1−i32−ζ22−ζ14ζ22ζ14−1+i32−1−i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ140000
χ3933−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321−i321+i321+i320000-11−i321+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000-1-111-111111−i321+i321−i321+i32−1−i32−1+i32−1−i32−1+i321−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000
χ4033−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321−i321+i321+i320000-11−i321+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321+i321−i321+i321−i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i320000
χ4133−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323-3−3+3i32−3−3i323−3i323+3i32-33−3i323+3i3211−1+i32−1+i32−1−i32−1−i3200001−1+i32−1−i32ii−i−iζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ140000001-1−ii-1i−i−ii−1+i32−1−i321−i321+i32−ζ22−ζ14ζ22ζ141−i321+i32ζ22ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ140000
χ4233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323-3−3+3i32−3−3i323−3i323+3i32-33−3i323+3i3211−1+i32−1+i32−1−i32−1−i3200001−1+i32−1−i32−i−iii−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ140000001-1i−i-1−iii−i−1+i32−1−i321−i321+i32ζ22ζ14−ζ22−ζ141−i321+i32−ζ22−ζ14ζ22ζ14ζ22ζ14−ζ22−ζ140000
χ4333−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323-3−3+3i32−3−3i323−3i323+3i32-33−3i323+3i32-1-11−i321−i321+i321+i320000-11−i321+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000-11-1-111-11-11−i321+i32−1+i32−1−i321+i321−i321+i321−i32−1+i32−1−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i320000
χ4433−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323-3−3+3i32−3−3i323−3i323+3i32-33−3i323+3i32-1-11−i321−i321+i321+i320000-11−i321+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000-11111-11-111−i321+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i320000
χ4533−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-333−3i323+3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1+i32−1−i32−1−i3200001−1+i32−1−i32ii−i−iζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14000000-11−ii-1−iii−i1−i321+i32−1+i32−1−i32−ζ22−ζ14ζ22ζ141−i321+i32−ζ22−ζ14ζ22ζ14ζ22ζ14−ζ22−ζ140000
χ4633−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-333−3i323+3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1+i32−1−i32−1−i3200001−1+i32−1−i32−i−iii−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14000000-11i−i-1i−i−ii1−i321+i32−1+i32−1−i32ζ22ζ14−ζ22−ζ141−i321+i32ζ22ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ140000
χ4733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-333−3i323+3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321−i321+i321+i320000-11−i321+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000001-1-1-11-11-11−1+i32−1−i321−i321+i321+i321−i321+i321−i32−1+i32−1−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i320000
χ4833−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-333−3i323+3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321−i321+i321+i320000-11−i321+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i320000001-11111-11-1−1+i32−1−i321−i321+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i320000
χ4933−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i3211−1+i32−1+i32−1−i32−1−i3200001−1+i32−1−i32ii−i−iζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14000000-1-1i−i1−i−iii1−i321+i321−i321+i32ζ22ζ14−ζ22−ζ14−1+i32−1−i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ140000
χ5033−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i3211−1+i32−1+i32−1−i32−1−i3200001−1+i32−1−i32−i−iii−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14000000-1-1−ii1ii−i−i1−i321+i321−i321+i32−ζ22−ζ14ζ22ζ14−1+i32−1−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ140000
χ5133−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i32-1-11−i321−i321+i321+i320000-11−i321+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000001111-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i320000
χ5233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i32-1-11−i321−i321+i321+i320000-11−i321+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000011-1-1-11111−1+i32−1−i32−1+i32−1−i321+i321−i321+i321−i321−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000
χ534444444444444444440000001-21-20000000000000001-211-2-20000000000000000000000000001-21-2
χ54444444444444444444000000-21-21000000000000000-21-2-211000000000000000000000000000-21-21
χ554444444444-444-4-4-4-4-40000001-21-20000000000000001-2-1-1220000000000000000000000000001-2-12
χ564444444444-444-4-4-4-4-4000000-21-21000000000000000-2122-1-1000000000000000000000000000-212-1
χ57444444444-44-4-444-4-4-40000001-21-20000000000000001-2-1-122000000000000000000000000000-121-2
χ58444444444-44-4-444-4-4-4000000-21-21000000000000000-2122-1-10000000000000000000000000002-1-21
χ59444444444-4-4-4-4-4-44440000001-21-20000000000000001-211-2-2000000000000000000000000000-12-12
χ60444444444-4-4-4-4-4-4444000000-21-21000000000000000-21-2-2110000000000000000000000000002-12-1
χ614-444-4-40000000000004i−4i4i−4i4i−4i44-4-40000000000000000000000000000000000000000000000000000
χ624-444-4-4000000000000−4i4i−4i4i−4i4i44-4-40000000000000000000000000000000000000000000000000000
χ6366−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i300000000022−1−i3−1−i3−1+i3−1+i30000-21+i31−i32i−2i−2i2i2ζ142ζ22−2ζ14−2ζ22−2ζ14−2ζ222ζ142ζ220000000000000000000000000000000000000
χ6466−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i300000000022−1−i3−1−i3−1+i3−1+i30000-21+i31−i3−2i2i2i−2i−2ζ14−2ζ222ζ142ζ222ζ142ζ22−2ζ14−2ζ220000000000000000000000000000000000000
χ6566−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i3000000000-2-21+i31+i31−i31−i300002−1−i3−1+i32-22-2−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i30000000000000000000000000000000000000
χ6666−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i3000000000-2-21+i31+i31−i31−i300002−1−i3−1+i3-22-221−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i30000000000000000000000000000000000000
χ6766−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i300000000022−1+i3−1+i3−1−i3−1−i30000-21−i31+i32i−2i−2i2i2ζ222ζ14−2ζ22−2ζ14−2ζ22−2ζ142ζ222ζ140000000000000000000000000000000000000
χ6866−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i300000000022−1+i3−1+i3−1−i3−1−i30000-21−i31+i3−2i2i2i−2i−2ζ22−2ζ142ζ222ζ142ζ222ζ14−2ζ22−2ζ140000000000000000000000000000000000000
χ6966−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i3000000000-2-21−i31−i31+i31+i300002−1+i3−1−i32-22-2−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i30000000000000000000000000000000000000
χ7066−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i3000000000-2-21−i31−i31+i31+i300002−1+i3−1−i3-22-221+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i30000000000000000000000000000000000000
χ71888888-8-8-80000000000000002-42-4000000000000000-2400000000000000000000000000000000000
χ72888888-8-8-8000000000000000-42-420000000000000004-200000000000000000000000000000000000
χ738-888-8-80000000000000000002-4-240000000000000000032−32000000000000000000000000000000000
χ748-888-8-80000000000000000002-4-2400000000000000000−3232000000000000000000000000000000000
χ758-888-8-8000000000000000000-424-2000000000000000000032−320000000000000000000000000000000
χ768-888-8-8000000000000000000-424-20000000000000000000−32320000000000000000000000000000000
χ7712-12−6−6i3−6+6i36+6i36−6i30000000000004i−4i4ζ22−4ζ224ζ14−4ζ1400000000000000000000000000000000000000000000000000000000
χ7812-12−6−6i3−6+6i36+6i36−6i3000000000000−4i4i−4ζ224ζ22−4ζ144ζ1400000000000000000000000000000000000000000000000000000000
χ7912-12−6+6i3−6−6i36−6i36+6i30000000000004i−4i4ζ14−4ζ144ζ22−4ζ2200000000000000000000000000000000000000000000000000000000
χ8012-12−6+6i3−6−6i36−6i36+6i3000000000000−4i4i−4ζ144ζ14−4ζ224ζ2200000000000000000000000000000000000000000000000000000000

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