Finite Group Databasebeta

← Group #13149822

Character table — Group #13149822

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222222222226666991212121212121212121212121212181818181818181818181836363636727272721122222222222666699121212121212121212121212121218181818181818181818183636363672727272
order123468812122424242433664436121212122424242424242424266881212242424242244661212226468812122424242466664466121212122424242424242424266881212242424242244661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-11-11-11-111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-11-11-11-1
χ611111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-11-11-11-1111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-11-11-11-11
χ711111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-1111111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-11
χ811111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-111-111111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-111-1
χ922222222222222-1-1200-1-1-12-1-122-1-1-1-1-1-1000000000002200-1-10022222222222222-1-1200-1-1-12-1-122-1-1-1-1-1-1000000000002200-1-100
χ1022222222222222-1-1200-1-1-12-1-122-1-1-1-1-1-100000000000-2-200110022222222222222-1-1200-1-1-12-1-122-1-1-1-1-1-100000000000-2-2001100
χ112222222222222-122-100-1-12-1-1-1-1-122-1-1-1-100000000000002200-1-12222222222222-122-100-1-12-1-1-1-1-122-1-1-1-100000000000002200-1-1
χ122222222222222-122-100-1-12-1-1-1-1-122-1-1-1-10000000000000-2-200112222222222222-122-100-1-12-1-1-1-1-122-1-1-1-10000000000000-2-20011
χ1322222-2-222-2-2-2-22-1-1200-1-1-12-1-1-2-2111111000000000002-200-110022222-2-222-2-2-2-22-1-1200-1-1-12-1-1-2-2111111000000000002-200-1100
χ1422222-2-222-2-2-2-22-1-1200-1-1-12-1-1-2-211111100000000000-22001-10022222-2-222-2-2-2-22-1-1200-1-1-12-1-1-2-211111100000000000-22001-100
χ1522222-2-222-2-2-2-2-122-100-1-12-1-1-111-2-2111100000000000002-200-1122222-2-222-2-2-2-2-122-100-1-12-1-1-111-2-2111100000000000002-200-11
χ1622222-2-222-2-2-2-2-122-100-1-12-1-1-111-2-211110000000000000-22001-122222-2-222-2-2-2-2-122-100-1-12-1-1-111-2-211110000000000000-22001-1
χ17222-2200-2-2000022222222-2-2-2-200000000-2-2-20022000000000000222-2200-2-2000022222222-2-2-2-200000000-2-2-20022000000000000
χ18222-2200-2-200002222-2-222-2-2-2-20000000022200-2-2000000000000222-2200-2-200002222-2-222-2-2-2-20000000022200-2-2000000000000
χ192-220-22−20022−2−222-2-22i−2i2-200002−22−222−2−2000−i2i22i−2i−i2−i2i2i2000000002-220-22−20022−2−222-2-22i−2i2-200002−22−222−2−2000−i2i22i−2i−i2−i2i2i200000000
χ202-220-22−20022−2−222-2-2−2i2i2-200002−22−222−2−2000i2−i2−2i2ii2i2−i2−i2000000002-220-22−20022−2−222-2-2−2i2i2-200002−22−222−2−2000i2−i2−2i2ii2i2−i2−i200000000
χ212-220-2−2200−2−22222-2-22i−2i2-20000−22−22−2−222000i2−i22i−2ii2i2−i2−i2000000002-220-2−2200−2−22222-2-22i−2i2-20000−22−22−2−222000i2−i22i−2ii2i2−i2−i200000000
χ222-220-2−2200−2−22222-2-2−2i2i2-20000−22−22−2−222000−i2i2−2i2i−i2−i2i2i2000000002-220-2−2200−2−22222-2-2−2i2i2-20000−22−22−2−222000−i2i2−2i2i−i2−i2i2i200000000
χ234444444444444-2-2-2-20011-2-211-2-2-2-2111100000000000000000004444444444444-2-2-2-20011-2-211-2-2-2-211110000000000000000000
χ2444444-4-444-4-4-4-4-2-2-2-20011-2-2112222-1-1-1-1000000000000000000044444-4-444-4-4-4-4-2-2-2-20011-2-2112222-1-1-1-10000000000000000000
χ25444-4400-4-400004-2-2400-2-22-422000000000000000000000000000444-4400-4-400004-2-2400-2-22-422000000000000000000000000000
χ26444-4400-4-40000-244-200-2-2-4222000000000000000000000000000444-4400-4-40000-244-200-2-2-4222000000000000000000000000000
χ27444-4400-4-40000-2-2-2-2001122-1-100003i−3i3i−3i0000000000000000000444-4400-4-40000-2-2-2-2001122-1-100003i−3i3i−3i0000000000000000000
χ28444-4400-4-40000-2-2-2-2001122-1-10000−3i3i−3i3i0000000000000000000444-4400-4-40000-2-2-2-2001122-1-10000−3i3i−3i3i0000000000000000000
χ294-440-422−22002222−22−224-22-400-22000022−22−22−2−22200000000000000000004-440-422−22002222−22−224-22-400-22000022−22−22−2−2220000000000000000000
χ304-440-422−22002222−22−22-24-4200-220000−2222−22−2−22200000000000000000004-440-422−22002222−22−22-24-4200-220000−2222−22−2−2220000000000000000000
χ314-440-422−22002222−22−22-2-222001-1003i−3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000000000004-440-422−22002222−22−22-2-222001-1003i−3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000
χ324-440-422−22002222−22−22-2-222001-100−3i3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2300000000000000000004-440-422−22002222−22−22-2-222001-100−3i3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000
χ334-440-4−222200−22−2222224-22-400-220000−22222−222−2−200000000000000000004-440-4−222200−22−2222224-22-400-220000−22222−222−2−20000000000000000000
χ344-440-4−222200−22−222222-24-4200-2200002−2−222222−2−200000000000000000004-440-4−222200−22−222222-24-4200-2200002−2−222222−2−20000000000000000000
χ354-440-4−222200−22−222222-2-222001-1003i−3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ2300000000000000000004-440-4−222200−22−222222-2-222001-1003i−3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000
χ364-440-4−222200−22−222222-2-222001-100−3i3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000000000004-440-4−222200−22−222222-2-222001-100−3i3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000
χ3766-36-366-3-3-3-3-3-3000022000000000000002-1-122-1-1-1-1-1-10000000066-36-366-3-3-3-3-3-3000022000000000000002-1-122-1-1-1-1-1-100000000
χ3866-36-366-3-3-3-3-3-30000-2-200000000000000-211-2-21111110000000066-36-366-3-3-3-3-3-30000-2-200000000000000-211-2-211111100000000
χ3966-36-3-6-6-3-33333000022000000000000002-1-1-2-2-1-111110000000066-36-3-6-6-3-33333000022000000000000002-1-1-2-2-1-1111100000000
χ4066-36-3-6-6-3-333330000-2-200000000000000-2112211-1-1-1-10000000066-36-3-6-6-3-333330000-2-200000000000000-2112211-1-1-1-100000000
χ4166-3-6-3003333−3333−3300002200000000000000-21100-1-13−33−30000000066-3-6-3003333−3333−3300002200000000000000-21100-1-13−33−300000000
χ4266-3-6-3003333−3333−330000-2-2000000000000002-1-10011−33−330000000066-3-6-3003333−3333−330000-2-2000000000000002-1-10011−33−3300000000
χ4366-3-6-30033−3333−333300002200000000000000-21100-1-1−33−330000000066-3-6-30033−3333−333300002200000000000000-21100-1-1−33−3300000000
χ4466-3-6-30033−3333−33330000-2-2000000000000002-1-100113−33−30000000066-3-6-30033−3333−33330000-2-2000000000000002-1-100113−33−300000000
χ456-6-30332−3233−333ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ2300002i−2i000000000000000−i3i3−i2i2−iiζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ7000000006-6-30332−3233−333ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ2300002i−2i000000000000000−i3i3−i2i2−iiζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ700000000
χ466-6-30332−3233−333ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ230000−2i2i000000000000000i3−i3i2−i2i−i−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ7000000006-6-30332−3233−333ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ230000−2i2i000000000000000i3−i3i2−i2i−i−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ700000000
χ476-6-30332−32−33333ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ700002i−2i000000000000000i3−i3−i2i2−iiζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ23000000006-6-30332−32−33333ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ700002i−2i000000000000000i3−i3−i2i2−iiζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ2300000000
χ486-6-30332−32−33333ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ70000−2i2i000000000000000−i3i3i2−i2i−i−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ23000000006-6-30332−32−33333ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ70000−2i2i000000000000000−i3i3i2−i2i−i−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ2300000000
χ496-6-303−323233−33−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ2300002i−2i000000000000000−i3i3i2−i2−ii−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ7000000006-6-303−323233−33−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ2300002i−2i000000000000000−i3i3i2−i2−ii−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ700000000
χ506-6-303−323233−33−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ230000−2i2i000000000000000i3−i3−i2i2i−iζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ7000000006-6-303−323233−33−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ230000−2i2i000000000000000i3−i3−i2i2i−iζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ700000000
χ516-6-303−3232−3333−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ700002i−2i000000000000000i3−i3i2−i2−ii−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ23000000006-6-303−3232−3333−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ700002i−2i000000000000000i3−i3i2−i2−ii−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ2300000000
χ526-6-303−3232−3333−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ70000−2i2i000000000000000−i3i3−i2i2i−iζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ23000000006-6-303−3232−3333−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ70000−2i2i000000000000000−i3i3−i2i2i−iζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ2300000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5511111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-111
χ5611111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-1
χ5711111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-11-11-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11111-11-11-11-11
χ5811111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-11-11-11-11-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-111111-11-11-11-1
χ5911111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-11-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-111-1-111-1
χ6011111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-11-1-111-1-11
χ6122222222222222-1-1200-1-1-12-1-122-1-1-1-1-1-1000000000002200-1-100-2-2-2-2-2-2-2-2-2-2-2-2-2-211-200111-211-2-211111100000000000-2-2001100
χ6222222222222222-1-1200-1-1-12-1-122-1-1-1-1-1-100000000000-2-2001100-2-2-2-2-2-2-2-2-2-2-2-2-2-211-200111-211-2-2111111000000000002200-1-100
χ632222222222222-122-100-1-12-1-1-1-1-122-1-1-1-100000000000002200-1-1-2-2-2-2-2-2-2-2-2-2-2-2-21-2-210011-211111-2-211110000000000000-2-20011
χ642222222222222-122-100-1-12-1-1-1-1-122-1-1-1-10000000000000-2-20011-2-2-2-2-2-2-2-2-2-2-2-2-21-2-210011-211111-2-2111100000000000002200-1-1
χ6522222-2-222-2-2-2-22-1-1200-1-1-12-1-1-2-2111111000000000002-200-1100-2-2-2-2-222-2-22222-211-200111-21122-1-1-1-1-1-100000000000-22001-100
χ6622222-2-222-2-2-2-22-1-1200-1-1-12-1-1-2-211111100000000000-22001-100-2-2-2-2-222-2-22222-211-200111-21122-1-1-1-1-1-1000000000002-200-1100
χ6722222-2-222-2-2-2-2-122-100-1-12-1-1-111-2-2111100000000000002-200-11-2-2-2-2-222-2-222221-2-210011-2111-1-122-1-1-1-10000000000000-22001-1
χ6822222-2-222-2-2-2-2-122-100-1-12-1-1-111-2-211110000000000000-22001-1-2-2-2-2-222-2-222221-2-210011-2111-1-122-1-1-1-100000000000002-200-11
χ69222-2200-2-2000022222222-2-2-2-200000000-2-2-20022000000000000-2-2-22-200220000-2-2-2-2-2-2-2-222220000000022200-2-2000000000000
χ70222-2200-2-200002222-2-222-2-2-2-20000000022200-2-2000000000000-2-2-22-200220000-2-2-2-222-2-2222200000000-2-2-20022000000000000
χ712-220-22−20022−2−222-2-22i−2i2-200002−22−222−2−2000−i2i22i−2i−i2−i2i2i200000000-22-202−2200−2−222-2-222−2i2i-220000−22−22−2−222000i2−i2−2i2ii2i2−i2−i200000000
χ722-220-22−20022−2−222-2-2−2i2i2-200002−22−222−2−2000i2−i2−2i2ii2i2−i2−i200000000-22-202−2200−2−222-2-2222i−2i-220000−22−22−2−222000−i2i22i−2i−i2−i2i2i200000000
χ732-220-2−2200−2−22222-2-22i−2i2-20000−22−22−2−222000i2−i22i−2ii2i2−i2−i200000000-22-2022−20022−2−2-2-222−2i2i-2200002−22−222−2−2000−i2i2−2i2i−i2−i2i2i200000000
χ742-220-2−2200−2−22222-2-2−2i2i2-20000−22−22−2−222000−i2i2−2i2i−i2−i2i2i200000000-22-2022−20022−2−2-2-2222i−2i-2200002−22−222−2−2000i2−i22i−2ii2i2−i2−i200000000
χ754444444444444-2-2-2-20011-2-211-2-2-2-211110000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4-4222200-1-122-1-12222-1-1-1-10000000000000000000
χ7644444-4-444-4-4-4-4-2-2-2-20011-2-2112222-1-1-1-10000000000000000000-4-4-4-4-444-4-44444222200-1-122-1-1-2-2-2-211110000000000000000000
χ77444-4400-4-400004-2-2400-2-22-422000000000000000000000000000-4-4-44-400440000-422-40022-24-2-2000000000000000000000000000
χ78444-4400-4-40000-244-200-2-2-4222000000000000000000000000000-4-4-44-4004400002-4-4200224-2-2-2000000000000000000000000000
χ79444-4400-4-40000-2-2-2-2001122-1-100003i−3i3i−3i0000000000000000000-4-4-44-400440000222200-1-1-2-2110000−3i3i−3i3i0000000000000000000
χ80444-4400-4-40000-2-2-2-2001122-1-10000−3i3i−3i3i0000000000000000000-4-4-44-400440000222200-1-1-2-21100003i−3i3i−3i0000000000000000000
χ814-440-422−22002222−22−224-22-400-22000022−22−22−2−2220000000000000000000-44-404−222200−22−222222-42-24002-20000−22222−222−2−20000000000000000000
χ824-440-422−22002222−22−22-24-4200-220000−2222−22−2−2220000000000000000000-44-404−222200−22−2222222-44-2002-200002−2−222222−2−20000000000000000000
χ834-440-422−22002222−22−22-2-222001-1003i−3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000-44-404−222200−22−22222222-2-200-1100−3i3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000
χ844-440-422−22002222−22−22-2-222001-100−3i3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000-44-404−222200−22−22222222-2-200-11003i−3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000
χ854-440-4−222200−22−2222224-22-400-220000−22222−222−2−20000000000000000000-44-40422−22002222−22−22-42-24002-2000022−22−22−2−2220000000000000000000
χ864-440-4−222200−22−222222-24-4200-2200002−2−222222−2−20000000000000000000-44-40422−22002222−22−222-44-2002-20000−2222−22−2−2220000000000000000000
χ874-440-4−222200−22−222222-2-222001-1003i−3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000-44-40422−22002222−22−2222-2-200-1100−3i3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000
χ884-440-4−222200−22−222222-2-222001-100−3i3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000-44-40422−22002222−22−2222-2-200-11003i−3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000
χ8966-36-366-3-3-3-3-3-3000022000000000000002-1-122-1-1-1-1-1-100000000-6-63-63-6-63333330000-2-200000000000000-211-2-211111100000000
χ9066-36-366-3-3-3-3-3-30000-2-200000000000000-211-2-211111100000000-6-63-63-6-6333333000022000000000000002-1-122-1-1-1-1-1-100000000
χ9166-36-3-6-6-3-33333000022000000000000002-1-1-2-2-1-1111100000000-6-63-636633-3-3-3-30000-2-200000000000000-2112211-1-1-1-100000000
χ9266-36-3-6-6-3-333330000-2-200000000000000-2112211-1-1-1-100000000-6-63-636633-3-3-3-3000022000000000000002-1-1-2-2-1-1111100000000
χ9366-3-6-3003333−3333−3300002200000000000000-21100-1-13−33−300000000-6-636300-3-3−3333−33330000-2-2000000000000002-1-10011−33−3300000000
χ9466-3-6-3003333−3333−330000-2-2000000000000002-1-10011−33−3300000000-6-636300-3-3−3333−333300002200000000000000-21100-1-13−33−300000000
χ9566-3-6-30033−3333−333300002200000000000000-21100-1-1−33−3300000000-6-636300-3-333−3333−330000-2-2000000000000002-1-100113−33−300000000
χ9666-3-6-30033−3333−33330000-2-2000000000000002-1-100113−33−300000000-6-636300-3-333−3333−3300002200000000000000-21100-1-1−33−3300000000
χ976-6-30332−3233−333ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ2300002i−2i000000000000000−i3i3−i2i2−iiζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ700000000-6630-3−3232−3333−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ230000−2i2i000000000000000i3−i3i2−i2i−i−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ700000000
χ986-6-30332−3233−333ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ230000−2i2i000000000000000i3−i3i2−i2i−i−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ700000000-6630-3−3232−3333−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ2300002i−2i000000000000000−i3i3−i2i2−iiζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ700000000
χ996-6-30332−32−33333ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ700002i−2i000000000000000i3−i3−i2i2−iiζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ2300000000-6630-3−323233−33−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ70000−2i2i000000000000000−i3i3i2−i2i−i−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ2300000000
χ1006-6-30332−32−33333ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ70000−2i2i000000000000000−i3i3i2−i2i−i−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ2300000000-6630-3−323233−33−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ700002i−2i000000000000000i3−i3−i2i2−iiζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ2300000000
χ1016-6-303−323233−33−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ2300002i−2i000000000000000−i3i3i2−i2−ii−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ700000000-6630-332−32−33333ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ230000−2i2i000000000000000i3−i3−i2i2i−iζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ700000000
χ1026-6-303−323233−33−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ230000−2i2i000000000000000i3−i3−i2i2i−iζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ700000000-6630-332−32−33333ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ2300002i−2i000000000000000−i3i3i2−i2−ii−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ700000000
χ1036-6-303−3232−3333−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ700002i−2i000000000000000i3−i3i2−i2−ii−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ2300000000-6630-332−3233−333ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ70000−2i2i000000000000000−i3i3−i2i2i−iζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ2300000000
χ1046-6-303−3232−3333−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ70000−2i2i000000000000000−i3i3−i2i2i−iζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ2300000000-6630-332−3233−333ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ700002i−2i000000000000000i3−i3i2−i2−ii−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ2300000000

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