Finite Group Databasebeta

← Group #10697812

Character table — Group #10697812

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order122222223444444446666666121212121212121244888888881212121212121212242424242424242424242424242424244444888812121212121212122424242424242424888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ92222222222-2-2222-2-2222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ102222222222-2-2222-2-2222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ11222222222-222-2-2-2222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000000022-2-200002222-2-2-2-200000000000000000000
χ12222222222-222-2-2-2222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000-2-2220000-2-2-2-2222200000000000000000000
χ13222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-22222000000000000000000002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i000000000000
χ14222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-2222200000000000000000000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i000000000000
χ1522222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1622222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ1722222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ1822222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ1922222222-12-2-2222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ2022222222-12-2-2222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ2122222222-12-2-2222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000
χ2222222222-12-2-2222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000
χ2322222222-1-222-2-2-222-1-1-1-1-1-1-111111111-2-200000000-1-1-1-111113333−3−3−3−33333−3−3−3−322-2-20000-1-1-1-1111133−3−3−3−333000000000000
χ2422222222-1-222-2-2-222-1-1-1-1-1-1-111111111-2-200000000-1-1-1-111113333−3−3−3−33333−3−3−3−3-2-22200001111-1-1-1-1−3−33333−3−3000000000000
χ2522222222-1-222-2-2-222-1-1-1-1-1-1-111111111-2-200000000-1-1-1-11111−3−3−3−33333−3−3−3−3333322-2-20000-1-1-1-11111−3−33333−3−3000000000000
χ2622222222-1-222-2-2-222-1-1-1-1-1-1-111111111-2-200000000-1-1-1-11111−3−3−3−33333−3−3−3−33333-2-22200001111-1-1-1-133−3−3−3−333000000000000
χ2722222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122000000001111-1-1-1-13333−3−3−3−3−3−3−3−3333300002i2i−2i−2i−i3−i3i3i3i3i3−i3−i3−i−i−i−iiiii000000000000
χ2822222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122000000001111-1-1-1-13333−3−3−3−3−3−3−3−333330000−2i−2i2i2ii3i3−i3−i3−i3−i3i3i3iiii−i−i−i−i000000000000
χ2922222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122000000001111-1-1-1-1−3−3−3−333333333−3−3−3−300002i2i−2i−2ii3i3−i3−i3−i3−i3i3i3−i−i−i−iiiii000000000000
χ3022222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122000000001111-1-1-1-1−3−3−3−333333333−3−3−3−30000−2i−2i2i2i−i3−i3i3i3i3i3−i3−i3iiii−i−i−i−i000000000000
χ31222-2-22-2-222002-2-20022-2-22-2-22222-2-2-2-200000022-2-2000000000000000022-2-222-2-200000000000000000000000022−2−222−2−20000
χ32222-2-22-2-222002-2-20022-2-22-2-22222-2-2-2-200000022-2-2000000000000000022-2-222-2-2000000000000000000000000−2−222−2−2220000
χ33222-2-22-2-222002-2-20022-2-22-2-22222-2-2-2-2000000-2-2220000000000000000-2-222-2-22200000000000000000000000022−2−2−2−2220000
χ34222-2-22-2-222002-2-20022-2-22-2-22222-2-2-2-2000000-2-2220000000000000000-2-222-2-222000000000000000000000000−2−22222−2−20000
χ3522-22-2-22-22022000-2-22-22-2-22-2000000000022−2−22−22−222-2-2000022−2−222−2−22−22−22−22−22-2002−22−22-22-200002−22−22−22−2000000000000
χ3622-22-2-22-22022000-2-22-22-2-22-2000000000022−2−22−22−222-2-2000022−2−222−2−22−22−22−22−2-2200−22−22-22-220000−22−22−22−22000000000000
χ3722-22-2-22-22022000-2-22-22-2-22-20000000000−2−222−22−2222-2-20000−2−222−2−222−22−22−22−222-200−22−222-22-20000−22−22−22−22000000000000
χ3822-22-2-22-22022000-2-22-22-2-22-20000000000−2−222−22−2222-2-20000−2−222−2−222−22−22−22−22-22002−22−2-22-2200002−22−22−22−2000000000000
χ3922-22-2-22-220-2-2000222-22-2-22-2000000000022−2−2−22−22-2-222000022−2−222−2−2−22−22−22−22002i−2i−i2i2i2−i200002i−2i2i−2i−i2i2−i2i2i2−i2i2−i2000000000000
χ4022-22-2-22-220-2-2000222-22-2-22-2000000000022−2−2−22−22-2-222000022−2−222−2−2−22−22−22−2200−2i2ii2−i2−i2i20000−2i2i−2i2ii2−i2i2−i2−i2i2−i2i2000000000000
χ4122-22-2-22-220-2-2000222-22-2-22-20000000000−2−2222−22−2-2-2220000−2−222−2−2222−22−22−22−2002i−2ii2−i2−i2i200002i−2i2i−2ii2−i2i2−i2−i2i2−i2i2000000000000
χ4222-22-2-22-220-2-2000222-22-2-22-20000000000−2−2222−22−2-2-2220000−2−222−2−2222−22−22−22−200−2i2i−i2i2i2−i20000−2i2i−2i2i−i2i2−i2i2i2−i2i2−i2000000000000
χ4322-22-2-22-2-1022000-2-2-11-111-113−33−33−33−30022−2−22−22−2-1-11133−3−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ232-2002−22−2-11-11−333−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ4422-22-2-22-2-1022000-2-2-11-111-113−33−33−33−30022−2−22−22−2-1-11133−3−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23-2200−22−221-11-13−3−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ4522-22-2-22-2-1022000-2-2-11-111-113−33−33−33−300−2−222−22−22-1-11133−3−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ232-200−22−22-11-11−333−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ4622-22-2-22-2-1022000-2-2-11-111-113−33−33−33−300−2−222−22−22-1-11133−3−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23-22002−22−21-11-13−3−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ4722-22-2-22-2-1022000-2-2-11-111-11−33−33−33−330022−2−22−22−2-1-111−3−333ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ72-2002−22−2-11-113−3−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ4822-22-2-22-2-1022000-2-2-11-111-11−33−33−33−330022−2−22−22−2-1-111−3−333ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7-2200−22−221-11-1−333−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ4922-22-2-22-2-1022000-2-2-11-111-11−33−33−33−3300−2−222−22−22-1-111−3−333−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ72-200−22−22-11-113−3−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ5022-22-2-22-2-1022000-2-2-11-111-11−33−33−33−3300−2−222−22−22-1-111−3−333−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7-22002−22−21-11-1−333−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ5122-22-2-22-2-10-2-200022-11-111-113−33−33−33−30022−2−2−22−2211-1-1−3−333ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23002i−2i−i2i2i2−i2i3−i3−i3i3−ii−iiζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ5222-22-2-22-2-10-2-200022-11-111-113−33−33−33−30022−2−2−22−2211-1-1−3−333ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300−2i2ii2−i2−i2i2−i3i3i3−i3i−ii−i−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ5322-22-2-22-2-10-2-200022-11-111-113−33−33−33−300−2−2222−22−211-1-1−3−333−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23002i−2ii2−i2−i2i2i3−i3−i3i3−ii−ii−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ5422-22-2-22-2-10-2-200022-11-111-113−33−33−33−300−2−2222−22−211-1-1−3−333−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300−2i2i−i2i2i2−i2−i3i3i3−i3i−ii−iζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ5522-22-2-22-2-10-2-200022-11-111-11−33−33−33−330022−2−2−22−2211-1-133−3−3ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7002i−2i−i2i2i2−i2−i3i3i3−i3−ii−iiζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ5622-22-2-22-2-10-2-200022-11-111-11−33−33−33−330022−2−2−22−2211-1-133−3−3ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700−2i2ii2−i2−i2i2i3−i3−i3i3i−ii−i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ5722-22-2-22-2-10-2-200022-11-111-11−33−33−33−3300−2−2222−22−211-1-133−3−3−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7002i−2ii2−i2−i2i2−i3i3i3−i3−ii−ii−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ5822-22-2-22-2-10-2-200022-11-111-11−33−33−33−3300−2−2222−22−211-1-133−3−3−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700−2i2i−i2i2i2−i2i3−i3−i3i3i−ii−iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ592-2-2222-2-22200-22-200-2-2222-2-222-2-222-2-2002-22-20000000000002-22-22-22-2000000000000000000000000000000002−22−22−22−20000
χ602-2-2222-2-22200-22-200-2-2222-2-222-2-222-2-2002-22-20000000000002-22-22-22-200000000000000000000000000000000−22−22−22−220000
χ612-2-2222-2-22200-22-200-2-2222-2-222-2-222-2-200-22-22000000000000-22-22-22-22000000000000000000000000000000002−22−2−22−220000
χ622-2-2222-2-22200-22-200-2-2222-2-222-2-222-2-200-22-22000000000000-22-22-22-2200000000000000000000000000000000−22−222−22−20000
χ632-2-2-2-2222222-2-2-222-2-2-2-2-222222-2-2-2-2222-2000000002-22-22-22-2000000000000000000000000000000000000000000002-2-220000
χ642-2-2-2-2222222-2-2-222-2-2-2-2-222222-2-2-2-2222-2000000002-22-22-22-200000000000000000000000000000000000000000000-222-20000
χ652-2-2-2-222222-22-2-22-22-2-2-2-222222-2-2-2-222-2200000000-22-22-22-2200000000000000000000000000000000000000002-2-2200000000
χ662-2-2-2-222222-22-2-22-22-2-2-2-222222-2-2-2-222-2200000000-22-22-22-220000000000000000000000000000000000000000-222-200000000
χ672-2-2-2-22222-22-222-22-2-2-2-2-2222-2-22222-2-2-22000000002-22-2-22-22000000000000000000000000000000000000000000000000002-2
χ682-2-2-2-22222-22-222-22-2-2-2-2-2222-2-22222-2-2-22000000002-22-2-22-2200000000000000000000000000000000000000000000000000-22
χ692-2-2-2-22222-2-2222-2-22-2-2-2-2222-2-22222-2-22-200000000-22-222-22-20000000000000000000000000000000000000000000000002-200
χ702-2-2-2-22222-2-2222-2-22-2-2-2-2222-2-22222-2-22-200000000-22-222-22-2000000000000000000000000000000000000000000000000-2200
χ71444-4-44-4-44-400-4440044-4-44-4-4-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000
χ72444-4-44-4-4-24004-4-400-2-222-222-2-2-2-2222200000044-4-40000000000000000-2-222-2-222000000000000000000000000000000000000
χ73444-4-44-4-4-24004-4-400-2-222-222-2-2-2-22222000000-4-444000000000000000022-2-222-2-2000000000000000000000000000000000000
χ74444-4-44-4-4-2-400-44400-2-222-2222222-2-2-2-2000000000000000000000000002323−23−23−23−232323000000000000000000000000000000000000
χ75444-4-44-4-4-2-400-44400-2-222-2222222-2-2-2-200000000000000000000000000−23−2323232323−23−23000000000000000000000000000000000000
χ7644-4-44-4-444000000004-4-44-4-440000000000000022−22−2222000000000000000022−22−222222−22−2222000000000000000000000000000000000000
χ7744-4-44-4-444000000004-4-44-4-4400000000000000−222222−220000000000000000−222222−22−222222−22000000000000000000000000000000000000
χ7844-4-44-4-44-200000000-222-222-223−2323−23−2323−232300000022−22−222200000000000000002ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ23000000000000000000000000000000000000
χ7944-4-44-4-44-200000000-222-222-223−2323−23−2323−2323000000−222222−220000000000000000−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23000000000000000000000000000000000000
χ8044-4-44-4-44-200000000-222-222-2−2323−232323−2323−2300000022−22−222200000000000000002ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ7000000000000000000000000000000000000
χ8144-4-44-4-44-200000000-222-222-2−2323−232323−2323−23000000−222222−220000000000000000−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7000000000000000000000000000000000000
χ824-444-4-4-44400000000-444-4-4-44000000000022−22−222200000000000022−22−222222−22−222200000000000000000000000000000000000000000000
χ834-444-4-4-44400000000-444-4-4-440000000000−222222−22000000000000−222222−22−222222−2200000000000000000000000000000000000000000000
χ844-444-4-4-44-2000000002-2-2222-223−23−232323−23−23230022−22−22220000000000002ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ2300000000000000000000000000000000000000000000
χ854-444-4-4-44-2000000002-2-2222-223−23−232323−23−232300−222222−22000000000000−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ2300000000000000000000000000000000000000000000
χ864-444-4-4-44-2000000002-2-2222-2−232323−23−232323−230022−22−22220000000000002ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ700000000000000000000000000000000000000000000
χ874-444-4-4-44-2000000002-2-2222-2−232323−23−232323−2300−222222−22000000000000−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ700000000000000000000000000000000000000000000
χ884-44-44-44-4404-4000-44-44-44-44-40000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ894-44-44-44-440-440004-4-44-44-44-4000000000000000000-444-400000000000000000000000000000000000000000000000000000000
χ904-44-44-44-4-204-4000-442-22-22-2223−23−2323−232323−230000000000-222-223−23−23230000000000000000000000000000000000000000000000000000
χ914-44-44-44-4-204-4000-442-22-22-22−232323−2323−23−23230000000000-222-2−232323−230000000000000000000000000000000000000000000000000000
χ924-44-44-44-4-20-440004-42-22-22-2223−23−2323−232323−2300000000002-2-22−232323−230000000000000000000000000000000000000000000000000000
χ934-44-44-44-4-20-440004-42-22-22-22−232323−2323−23−232300000000002-2-2223−23−23230000000000000000000000000000000000000000000000000000
χ944-4-4444-4-44-4004-4400-4-4444-4-4-4-444-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ954-4-4444-4-4-2400-44-40022-2-2-222-2-222-2-222004-44-4000000000000-22-22-22-2200000000000000000000000000000000000000000000
χ964-4-4444-4-4-2400-44-40022-2-2-222-2-222-2-22200-44-440000000000002-22-22-22-200000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-4004-440022-2-2-22222-2-222-2-200000000000000000023−2323−23−2323−232300000000000000000000000000000000000000000000
χ984-4-4444-4-4-2-4004-440022-2-2-22222-2-222-2-2000000000000000000−2323−232323−2323−2300000000000000000000000000000000000000000000
χ994-4-4-4-4444-244-4-4-444-42222-2-2-2-2-22222-2-24-400000000-22-22-22-220000000000000000000000000000000000000000000000000000
χ1004-4-4-4-4444-24-44-4-44-442222-2-2-2-2-22222-2-2-44000000002-22-22-22-20000000000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-44-444-44-42222-2-2-222-2-2-2-222-4400000000-22-222-22-20000000000000000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-4-4444-4-442222-2-2-222-2-2-2-2224-4000000002-22-2-22-220000000000000000000000000000000000000000000000000000

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