Finite Group Databasebeta

← Group #10698978

Character table — Group #10698978

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order12222222344444444666666612121212121212124488888888121212121212121224242424242424242424242424242424224466668888121212122424242424242424888888882244
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
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1
χ9222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000000022-2-222220000-2-2-2-200000000000000000000
χ10222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000-2-222-2-2-2-20000222200000000000000000000
χ11222222222-2-2-22222-2222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ12222222222-2-2-22222-2222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ13222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-222220000000000000000000000002i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i000000000000
χ14222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-22222000000000000000000000000−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i000000000000
χ1522222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1622222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111111111000000000000
χ1722222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000
χ1822222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2111122221111-1-1-1-1-1-1-1-1000000000000
χ1922222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-111113333−3−3−3−33333−3−3−3−322-2-2-1-1-1-10000111133−3−333−3−3000000000000
χ2022222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-111113333−3−3−3−33333−3−3−3−3-2-22211110000-1-1-1-1−3−333−3−333000000000000
χ2122222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-11111−3−3−3−33333−3−3−3−3333322-2-2-1-1-1-100001111−3−333−3−333000000000000
χ2222222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-11111−3−3−3−33333−3−3−3−33333-2-22211110000-1-1-1-133−3−333−3−3000000000000
χ2322222222-1-2-2-22222-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ2422222222-1-2-2-22222-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ2522222222-1-2-2-22222-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ2622222222-1-2-2-22222-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ2722222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122000000001111-1-1-1-13333−3−3−3−3−3−3−3−333330000−i3−i3i3i32i2i−2i−2ii3i3−i3−i3−i−i−i−iiiii000000000000
χ2822222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122000000001111-1-1-1-13333−3−3−3−3−3−3−3−333330000i3i3−i3−i3−2i−2i2i2i−i3−i3i3i3iiii−i−i−i−i000000000000
χ2922222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122000000001111-1-1-1-1−3−3−3−333333333−3−3−3−30000−i3−i3i3i3−2i−2i2i2ii3i3−i3−i3iiii−i−i−i−i000000000000
χ3022222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122000000001111-1-1-1-1−3−3−3−333333333−3−3−3−30000i3i3−i3−i32i2i−2i−2i−i3−i3i3i3−i−i−i−iiiii000000000000
χ31222-2-2-22-2200022-2-2022-2-2-2-222222-2-2-2-20000002i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000022−2−2−i2−i2i2i20000
χ32222-2-2-22-2200022-2-2022-2-2-2-222222-2-2-2-20000002i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2−222i2i2−i2−i20000
χ33222-2-2-22-2200022-2-2022-2-2-2-222222-2-2-2-2000000−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000022−2−2i2i2−i2−i20000
χ34222-2-2-22-2200022-2-2022-2-2-2-222222-2-2-2-2000000−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2−222−i2−i2i2i20000
χ3522-2-22-2-22222-20000-22-22-22-2-2000000000022−2−22−22−222-2-2000022−2−222−2−22−22−22−22−2002i−2i0000−i2i2−i2i22i−2i2i−2i−i2i2−i2i2−i2i2−i2i2000000000000
χ3622-2-22-2-22222-20000-22-22-22-2-2000000000022−2−22−22−222-2-2000022−2−222−2−22−22−22−22−200−2i2i0000i2−i2i2−i2−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2000000000000
χ3722-2-22-2-22222-20000-22-22-22-2-20000000000−2−222−22−2222-2-20000−2−222−2−222−22−22−22−22002i−2i0000i2−i2i2−i22i−2i2i−2ii2−i2i2−i2i2−i2i2−i2000000000000
χ3822-2-22-2-22222-20000-22-22-22-2-20000000000−2−222−22−2222-2-20000−2−222−2−222−22−22−22−2200−2i2i0000−i2i2−i2i2−2i2i−2i2i−i2i2−i2i2−i2i2−i2i2000000000000
χ3922-2-22-2-222-2-22000022-22-22-2-2000000000022−2−2−22−22-2-222000022−2−222−2−2−22−22−22−222-2002-22-22−2−2200002−22−2−22−22000000000000
χ4022-2-22-2-222-2-22000022-22-22-2-2000000000022−2−2−22−22-2-222000022−2−222−2−2−22−22−22−22-2200-22-22−222−20000−22−222−22−2000000000000
χ4122-2-22-2-222-2-22000022-22-22-2-20000000000−2−2222−22−2-2-2220000−2−222−2−2222−22−22−22−22-2002-22-2−222−20000−22−222−22−2000000000000
χ4222-2-22-2-222-2-22000022-22-22-2-20000000000−2−2222−22−2-2-2220000−2−222−2−2222−22−22−22−2-2200-22-222−2−2200002−22−2−22−22000000000000
χ4322-2-22-2-22-122-20000-2-11-11-1113−33−33−33−30022−2−22−22−2-1-11133−3−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23002i−2ii3−i3−i3i3−i2i2−i2i2−ii−iiζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ4422-2-22-2-22-122-20000-2-11-11-1113−33−33−33−30022−2−22−22−2-1-11133−3−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300−2i2i−i3i3i3−i3i2−i2i2−i2i−ii−i−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ4522-2-22-2-22-122-20000-2-11-11-1113−33−33−33−300−2−222−22−22-1-11133−3−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23002i−2ii3−i3−i3i3i2−i2i2−i2−ii−ii−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ4622-2-22-2-22-122-20000-2-11-11-1113−33−33−33−300−2−222−22−22-1-11133−3−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300−2i2i−i3i3i3−i3−i2i2−i2i2i−ii−iζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ4722-2-22-2-22-122-20000-2-11-11-111−33−33−33−330022−2−22−22−2-1-111−3−333ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7002i−2i−i3i3i3−i3−i2i2−i2i2−ii−iiζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ4822-2-22-2-22-122-20000-2-11-11-111−33−33−33−330022−2−22−22−2-1-111−3−333ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700−2i2ii3−i3−i3i3i2−i2i2−i2i−ii−i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ4922-2-22-2-22-122-20000-2-11-11-111−33−33−33−3300−2−222−22−22-1-111−3−333−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7002i−2i−i3i3i3−i3i2−i2i2−i2−ii−ii−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ5022-2-22-2-22-122-20000-2-11-11-111−33−33−33−3300−2−222−22−22-1-111−3−333−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700−2i2ii3−i3−i3i3−i2i2−i2i2i−ii−iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ5122-2-22-2-22-1-2-2200002-11-11-1113−33−33−33−30022−2−2−22−2211-1-1−3−333ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ232-200-11-112−2−22−333−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ5222-2-22-2-22-1-2-2200002-11-11-1113−33−33−33−30022−2−2−22−2211-1-1−3−333ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23-22001-11-1−222−23−3−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ5322-2-22-2-22-1-2-2200002-11-11-1113−33−33−33−300−2−2222−22−211-1-1−3−333−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ232-200-11-11−222−2−333−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ5422-2-22-2-22-1-2-2200002-11-11-1113−33−33−33−300−2−2222−22−211-1-1−3−333−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23-22001-11-12−2−223−3−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ5522-2-22-2-22-1-2-2200002-11-11-111−33−33−33−330022−2−2−22−2211-1-133−3−3ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ72-200-11-112−2−223−3−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ5622-2-22-2-22-1-2-2200002-11-11-111−33−33−33−330022−2−2−22−2211-1-133−3−3ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7-22001-11-1−222−2−333−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ5722-2-22-2-22-1-2-2200002-11-11-111−33−33−33−3300−2−2222−22−211-1-133−3−3−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ72-200-11-11−222−23−3−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ5822-2-22-2-22-1-2-2200002-11-11-111−33−33−33−3300−2−2222−22−211-1-133−3−3−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7-22001-11-12−2−22−333−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ592-2-22-2-2222000-22-220-2-222-2-22-2-222-2-222002-22-20000000000002-22-22-22-2000000000000000000000000000000002−22−22−22−20000
χ602-2-22-2-2222000-22-220-2-222-2-22-2-222-2-222002-22-20000000000002-22-22-22-200000000000000000000000000000000−22−22−22−220000
χ612-2-22-2-2222000-22-220-2-222-2-22-2-222-2-22200-22-22000000000000-22-22-22-22000000000000000000000000000000002−22−2−22−220000
χ622-2-22-2-2222000-22-220-2-222-2-22-2-222-2-22200-22-22000000000000-22-22-22-2200000000000000000000000000000000−22−222−22−20000
χ632-2-2-2222-222-222-2-22-2-2-2-2-222222-2-2-2-2222-2000000002-22-22-22-2000000000000000000000000000000000000000000000000002i−2i
χ642-2-2-2222-222-222-2-22-2-2-2-2-222222-2-2-2-2222-2000000002-22-22-22-200000000000000000000000000000000000000000000000000−2i2i
χ652-2-2-2222-222-22-222-2-2-2-2-2-2222-2-22222-2-2-22000000002-22-2-22-22000000000000000000000000000000000000000000002i−2i−2i2i0000
χ662-2-2-2222-222-22-222-2-2-2-2-2-2222-2-22222-2-2-22000000002-22-2-22-2200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ672-2-2-2222-22-22-22-2-222-2-2-2-222222-2-2-2-222-2200000000-22-22-22-220000000000000000000000000000000000000000000000002-200
χ682-2-2-2222-22-22-22-2-222-2-2-2-222222-2-2-2-222-2200000000-22-22-22-22000000000000000000000000000000000000000000000000-2200
χ692-2-2-2222-22-22-2-222-22-2-2-2-2222-2-22222-2-22-200000000-22-222-22-200000000000000000000000000000000000000002-2-2200000000
χ702-2-2-2222-22-22-2-222-22-2-2-2-2222-2-22222-2-22-200000000-22-222-22-20000000000000000000000000000000000000000-222-200000000
χ71444-4-4-44-44000-4-444044-4-4-4-44-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000
χ72444-4-4-44-4-200044-4-40-2-22222-2-2-2-2-222220000004i4i−4i−4i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ73444-4-4-44-4-200044-4-40-2-22222-2-2-2-2-22222000000−4i−4i4i4i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ74444-4-4-44-4-2000-4-4440-2-22222-22222-2-2-2-200000000000000000000000000−2i3−2i32i32i32i32i3−2i3−2i3000000000000000000000000000000000000
χ75444-4-4-44-4-2000-4-4440-2-22222-22222-2-2-2-2000000000000000000000000002i32i3−2i3−2i3−2i3−2i32i32i3000000000000000000000000000000000000
χ7644-44-44-4-44000000004-4-44-44-400000000000000−2i22i22i2−2i20000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000
χ7744-44-44-4-44000000004-4-44-44-4000000000000002i2−2i2−2i22i200000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000
χ7844-44-44-4-4-200000000-222-22-2223−2323−23−2323−2323000000−2i22i22i2−2i200000000000000002ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000000000000000
χ7944-44-44-4-4-200000000-222-22-2223−2323−23−2323−23230000002i2−2i2−2i22i20000000000000000−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000000000000000
χ8044-44-44-4-4-200000000-222-22-22−2323−232323−2323−23000000−2i22i22i2−2i200000000000000002ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000000000000000
χ8144-44-44-4-4-200000000-222-22-22−2323−232323−2323−230000002i2−2i2−2i22i20000000000000000−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000000000000000
χ824-4444-4-4-444-4-400004-44-444-4-40000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ834-4444-4-4-44-4440000-4-44-444-4-4000000000000000000-444-400000000000000000000000000000000000000000000000000000000
χ844-4444-4-4-4-24-4-4000042-22-2-22223−23−2323−232323−230000000000-222-223−23−23230000000000000000000000000000000000000000000000000000
χ854-4444-4-4-4-24-4-4000042-22-2-222−232323−2323−23−23230000000000-222-2−232323−230000000000000000000000000000000000000000000000000000
χ864-4444-4-4-4-2-4440000-42-22-2-22223−23−2323−232323−2300000000002-2-22−232323−230000000000000000000000000000000000000000000000000000
χ874-4444-4-4-4-2-4440000-42-22-2-222−232323−2323−23−232300000000002-2-2223−23−23230000000000000000000000000000000000000000000000000000
χ884-44-4-44-44400000000-444-4-44-4000000000022−22−222200000000000022−22−222222−22−222200000000000000000000000000000000000000000000
χ894-44-4-44-44400000000-444-4-44-40000000000−222222−22000000000000−222222−22−222222−2200000000000000000000000000000000000000000000
χ904-44-4-44-44-2000000002-2-222-2223−23−232323−23−23230022−22−22220000000000002ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ700000000000000000000000000000000000000000000
χ914-44-4-44-44-2000000002-2-222-2223−23−232323−23−232300−222222−22000000000000−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ700000000000000000000000000000000000000000000
χ924-44-4-44-44-2000000002-2-222-22−232323−23−232323−230022−22−22220000000000002ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ2300000000000000000000000000000000000000000000
χ934-44-4-44-44-2000000002-2-222-22−232323−23−232323−2300−222222−22000000000000−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ2300000000000000000000000000000000000000000000
χ944-4-44-4-44440004-44-40-4-444-4-4444-4-444-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ954-4-44-4-444-20004-44-4022-2-222-2-2-222-2-22200000000000000000023−2323−23−2323−232300000000000000000000000000000000000000000000
χ964-4-44-4-444-20004-44-4022-2-222-2-2-222-2-222000000000000000000−2323−232323−2323−2300000000000000000000000000000000000000000000
χ974-4-44-4-444-2000-44-44022-2-222-222-2-222-2-2004-44-4000000000000-22-22-22-2200000000000000000000000000000000000000000000
χ984-4-44-4-444-2000-44-44022-2-222-222-2-222-2-200-44-440000000000002-22-22-22-200000000000000000000000000000000000000000000
χ994-4-4-4444-4-24-444-4-44-42222-2-2-2-2-22222-2-24-400000000-22-22-22-220000000000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-24-44-444-4-42222-2-2-222-2-2-2-222-4400000000-22-222-22-20000000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-44-44-4-4442222-2-2-2-2-22222-2-2-44000000002-22-22-22-20000000000000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-44-4-444-442222-2-2-222-2-2-2-2224-4000000002-22-2-22-220000000000000000000000000000000000000000000000000000

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