Finite Group Databasebeta

← Group #10697688

Character table — Group #10697688

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444448888888888888888888888884848484848484848
order122222344444444666666612121212121212124488888888121212121212121224242424242424242424242424242424444488881212121212121212242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-111
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ9222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000000022-2-200002222-2-2-2-20000000000000000
χ10222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000-2-2220000-2-2-2-222220000000000000000
χ112222222-2-22222-2-2222222222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000000022-2-2000000002222-2-2-2-200000000
χ122222222-2-22222-2-2222222222222222-2-200000000-2-2-2-2-2-2-2-200000000000000000000-2-22200000000-2-2-2-2222200000000
χ132222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2222i2i2i2i−2i−2i−2i−2i-2-2-2-222222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i00000000000000000000000000000000
χ142222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222−2i−2i−2i−2i2i2i2i2i-2-2-2-22222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i00000000000000000000000000000000
χ15222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ16222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000
χ17222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000
χ18222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000
χ19222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-200000000-1-1-1-111113333−3−3−3−33333−3−3−3−322-2-20000-1-1-1-1111133−3−333−3−300000000
χ20222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-200000000-1-1-1-111113333−3−3−3−33333−3−3−3−3-2-22200001111-1-1-1-1−3−333−3−33300000000
χ21222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-200000000-1-1-1-11111−3−3−3−33333−3−3−3−3333322-2-20000-1-1-1-11111−3−333−3−33300000000
χ22222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-200000000-1-1-1-11111−3−3−3−33333−3−3−3−33333-2-22200001111-1-1-1-133−3−333−3−300000000
χ23222222-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000011111111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3000022-2-2−i3−i3i3i3−i3−i3i3i3-1-1-1-1111100000000
χ24222222-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000011111111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i30000-2-222i3i3−i3−i3i3i3−i3−i31111-1-1-1-100000000
χ25222222-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000011111111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3000022-2-2i3i3−i3−i3i3i3−i3−i3-1-1-1-1111100000000
χ26222222-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000011111111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i30000-2-222−i3−i3i3i3−i3−i3i3i31111-1-1-1-100000000
χ27222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222i2i2i2i−2i−2i−2i−2i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii00000000−i3−i3i3i3i3i3−i3−i333−3−3−3−33300000000
χ28222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222i2i2i2i−2i−2i−2i−2i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii00000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−300000000
χ29222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122−2i−2i−2i−2i2i2i2i2i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i00000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−300000000
χ30222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122−2i−2i−2i−2i2i2i2i2i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i00000000i3i3−i3−i3−i3−i3i3i333−3−3−3−33300000000
χ312222-2-222-22-2-222-2-2-2-2-222222-2-2-2-2222-20000000022-2-222-2-20000000000000000000000000000000000000000020-20000
χ322222-2-222-22-2-222-2-2-2-2-222222-2-2-2-2222-20000000022-2-222-2-200000000000000000000000000000000000000000-2020000
χ332222-2-222-2-222-22-2-2-2-2-2222-2-22222-2-2-220000000022-2-2-2-222000000000000000000000000000000000000000000002-200
χ342222-2-222-2-222-22-2-2-2-2-2222-2-22222-2-2-220000000022-2-2-2-22200000000000000000000000000000000000000000000-2200
χ352222-2-22-222-2-22-22-2-2-2-222222-2-2-2-222-2200000000-2-222-2-222000000000000000000000000000000000000000020-200000
χ362222-2-22-222-2-22-22-2-2-2-222222-2-2-2-222-2200000000-2-222-2-2220000000000000000000000000000000000000000-20200000
χ372222-2-22-22-222-2-22-2-2-2-2222-2-22222-2-22-200000000-2-22222-2-200000000000000000000000000000000000000000000002-2
χ382222-2-22-22-222-2-22-2-2-2-2222-2-22222-2-22-200000000-2-22222-2-20000000000000000000000000000000000000000000000-22
χ3922-2-22-22220000-2-222-2-2-22-2000000000022−2−222−2−22-22-2000022−2−222−2−222−2−222−2−22-2002−22−22-22-200002−22−22−22−200000000
χ4022-2-22-22220000-2-222-2-2-22-2000000000022−2−222−2−22-22-2000022−2−222−2−222−2−222−2−2-2200−22−22-22-220000−22−22−22−2200000000
χ4122-2-22-22220000-2-222-2-2-22-20000000000−2−222−2−2222-22-20000−2−222−2−222−2−222−2−2222-200−22−222-22-20000−22−22−22−2200000000
χ4222-2-22-22220000-2-222-2-2-22-20000000000−2−222−2−2222-22-20000−2−222−2−222−2−222−2−222-22002−22−2-22-2200002−22−22−22−200000000
χ4322-2-22-22-2-200002222-2-2-22-20000000000−i2−i2i2i2i2i2−i2−i2-22-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2002i−2i2−2−2200002i−2i2i−2i2−22−2−22−2200000000
χ4422-2-22-22-2-200002222-2-2-22-20000000000−i2−i2i2i2i2i2−i2−i2-22-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200−2i2i−222−20000−2i2i−2i2i−22−222−22−200000000
χ4522-2-22-22-2-200002222-2-2-22-20000000000i2i2−i2−i2−i2−i2i2i2-22-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2002i−2i−222−200002i−2i2i−2i−22−222−22−200000000
χ4622-2-22-22-2-200002222-2-2-22-20000000000i2i2−i2−i2−i2−i2i2i2-22-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200−2i2i2−2−220000−2i2i−2i2i2−22−2−22−2200000000
χ4722-2-22-2-1220000-2-2-1-1111-113−333−3−33−30022−2−222−2−2-11-113−33−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ232-2002−22−2-11-11−333−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000
χ4822-2-22-2-1220000-2-2-1-1111-113−333−3−33−30022−2−222−2−2-11-113−33−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-2200−22−221-11-13−3−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000
χ4922-2-22-2-1220000-2-2-1-1111-113−333−3−33−300−2−222−2−222-11-113−33−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ232-200−22−22-11-11−333−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000
χ5022-2-22-2-1220000-2-2-1-1111-113−333−3−33−300−2−222−2−222-11-113−33−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23-22002−22−21-11-13−3−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000
χ5122-2-22-2-1220000-2-2-1-1111-11−33−3−333−330022−2−222−2−2-11-11−33−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ72-2002−22−2-11-113−3−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000
χ5222-2-22-2-1220000-2-2-1-1111-11−33−3−333−330022−2−222−2−2-11-11−33−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7-2200−22−221-11-1−333−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000
χ5322-2-22-2-1220000-2-2-1-1111-11−33−3−333−3300−2−222−2−222-11-11−33−33−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ72-200−22−22-11-113−3−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000
χ5422-2-22-2-1220000-2-2-1-1111-11−33−3−333−3300−2−222−2−222-11-11−33−33−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7-22002−22−21-11-1−333−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000
χ5522-2-22-2-1-2-2000022-1-1111-113−333−3−33−300−i2−i2i2i2i2i2−i2−i21-11-1−33−33ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23002i−2i2−2−22i3−i3−i3i3−ii−iiζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000
χ5622-2-22-2-1-2-2000022-1-1111-113−333−3−33−300−i2−i2i2i2i2i2−i2−i21-11-1−33−33ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300−2i2i−222−2−i3i3i3−i3i−ii−i−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000
χ5722-2-22-2-1-2-2000022-1-1111-113−333−3−33−300i2i2−i2−i2−i2−i2i2i21-11-1−33−33−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23002i−2i−222−2i3−i3−i3i3−ii−ii−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000
χ5822-2-22-2-1-2-2000022-1-1111-113−333−3−33−300i2i2−i2−i2−i2−i2i2i21-11-1−33−33−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300−2i2i2−2−22−i3i3i3−i3i−ii−iζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000
χ5922-2-22-2-1-2-2000022-1-1111-11−33−3−333−3300−i2−i2i2i2i2i2−i2−i21-11-13−33−3ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7002i−2i2−2−22−i3i3i3−i3−ii−iiζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000
χ6022-2-22-2-1-2-2000022-1-1111-11−33−3−333−3300−i2−i2i2i2i2i2−i2−i21-11-13−33−3ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700−2i2i−222−2i3−i3−i3i3i−ii−i−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000
χ6122-2-22-2-1-2-2000022-1-1111-11−33−3−333−3300i2i2−i2−i2−i2−i2i2i21-11-13−33−3−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7002i−2i−222−2−i3i3i3−i3−ii−ii−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000
χ6222-2-22-2-1-2-2000022-1-1111-11−33−3−333−3300i2i2−i2−i2−i2−i2i2i21-11-13−33−3−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700−2i2i2−2−22i3−i3−i3i3i−ii−iζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000
χ634444-4-4-24-44-4-444-42222-2-2-2-2-22222-2-24-400000000-2-222-2-222000000000000000000000000000000000000000000000000
χ644444-4-4-24-4-444-44-42222-2-2-222-2-2-2-222-4400000000-2-22222-2-2000000000000000000000000000000000000000000000000
χ654444-4-4-2-444-4-44-442222-2-2-2-2-22222-2-2-440000000022-2-222-2-2000000000000000000000000000000000000000000000000
χ664444-4-4-2-44-444-4-442222-2-2-222-2-2-2-2224-40000000022-2-2-2-222000000000000000000000000000000000000000000000000
χ6744-4-4-4444-40000-44-4-444-44-40000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ6844-4-4-444-4400004-4-4-444-44-4000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ6944-4-4-44-24-40000-4422-2-22-2223−23−23−23232323−230000000000-222-223−23−2323000000000000000000000000000000000000000000000000
χ7044-4-4-44-24-40000-4422-2-22-22−23232323−23−23−23230000000000-222-2−232323−23000000000000000000000000000000000000000000000000
χ7144-4-4-44-2-4400004-422-2-22-2223−23−23−23232323−2300000000002-2-22−232323−23000000000000000000000000000000000000000000000000
χ7244-4-4-44-2-4400004-422-2-22-22−23232323−23−23−232300000000002-2-2223−23−2323000000000000000000000000000000000000000000000000
χ734-44-400400400-40000004-4-4440000-4-4002-22-22-22-2000000002-22-22-22-22-22-22-22-200000000000000000000000000000000
χ744-44-400400400-40000004-4-4440000-4-400-22-22-22-2200000000-22-22-22-22-22-22-22-2200000000000000000000000000000000
χ754-44-400400-40040000004-4-4-4-4000044002i−2i2i−2i−2i2i−2i2i000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ764-44-400400-40040000004-4-4-4-400004400−2i2i−2i2i2i−2i2i−2i00000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ774-44-400-200400-400−2i32i3−2i32i3-222-2-2−2i32i3−2i32i322002-22-22-22-200000000−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i300000000000000000000000000000000
χ784-44-400-200400-400−2i32i3−2i32i3-222-2-2−2i32i3−2i32i32200-22-22-22-22000000001+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i300000000000000000000000000000000
χ794-44-400-200400-4002i3−2i32i3−2i3-222-2-22i3−2i32i3−2i322002-22-22-22-200000000−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i300000000000000000000000000000000
χ804-44-400-200400-4002i3−2i32i3−2i3-222-2-22i3−2i32i3−2i32200-22-22-22-22000000001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i300000000000000000000000000000000
χ814-44-400-200-400400−2i32i3−2i32i3-222222i3−2i32i3−2i3-2-2002i−2i2i−2i−2i2i−2i2i000000002ζ22−2ζ222ζ22−2ζ222ζ14−2ζ142ζ14−2ζ14−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22−2ζ222ζ2200000000000000000000000000000000
χ824-44-400-200-400400−2i32i3−2i32i3-222222i3−2i32i3−2i3-2-200−2i2i−2i2i2i−2i2i−2i00000000−2ζ222ζ22−2ζ222ζ22−2ζ142ζ14−2ζ142ζ142ζ14−2ζ142ζ14−2ζ142ζ22−2ζ222ζ22−2ζ2200000000000000000000000000000000
χ834-44-400-200-4004002i3−2i32i3−2i3-22222−2i32i3−2i32i3-2-2002i−2i2i−2i−2i2i−2i2i000000002ζ14−2ζ142ζ14−2ζ142ζ22−2ζ222ζ22−2ζ22−2ζ222ζ22−2ζ222ζ22−2ζ142ζ14−2ζ142ζ1400000000000000000000000000000000
χ844-44-400-200-4004002i3−2i32i3−2i3-22222−2i32i3−2i32i3-2-200−2i2i−2i2i2i−2i2i−2i00000000−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22−2ζ222ζ222ζ22−2ζ222ζ22−2ζ222ζ14−2ζ142ζ14−2ζ1400000000000000000000000000000000
χ854-4-440040004i−4i0000000-4-44004i−4i−4i4i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000
χ864-4-440040004i−4i0000000-4-44004i−4i−4i4i0000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000
χ874-4-44004000−4i4i0000000-4-4400−4i4i4i−4i0000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000
χ884-4-44004000−4i4i0000000-4-4400−4i4i4i−4i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000
χ894-4-4400-20004i−4i000−2i32i32i3−2i322-223−23−2i2i2i−2i−2323002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ72ζ72ζ7−2ζ7−2ζ232ζ232ζ23−2ζ232ζ5−2ζ5−2ζ52ζ52ζ13−2ζ13−2ζ132ζ1300000000000000000000000000000000
χ904-4-4400-20004i−4i000−2i32i32i3−2i322-223−23−2i2i2i−2i−232300−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13000000002ζ7−2ζ7−2ζ72ζ72ζ23−2ζ23−2ζ232ζ23−2ζ52ζ52ζ5−2ζ5−2ζ132ζ132ζ13−2ζ1300000000000000000000000000000000
χ914-4-4400-20004i−4i0002i3−2i3−2i32i322-2−2323−2i2i2i−2i23−23002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ232ζ232ζ23−2ζ23−2ζ72ζ72ζ7−2ζ72ζ13−2ζ13−2ζ132ζ132ζ5−2ζ5−2ζ52ζ500000000000000000000000000000000
χ924-4-4400-20004i−4i0002i3−2i3−2i32i322-2−2323−2i2i2i−2i23−2300−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13000000002ζ23−2ζ23−2ζ232ζ232ζ7−2ζ7−2ζ72ζ7−2ζ132ζ132ζ13−2ζ13−2ζ52ζ52ζ5−2ζ500000000000000000000000000000000
χ934-4-4400-2000−4i4i000−2i32i32i3−2i322-2−23232i−2i−2i2i23−2300−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23000000002ζ13−2ζ13−2ζ132ζ132ζ5−2ζ5−2ζ52ζ5−2ζ232ζ232ζ23−2ζ23−2ζ72ζ72ζ7−2ζ700000000000000000000000000000000
χ944-4-4400-2000−4i4i000−2i32i32i3−2i322-2−23232i−2i−2i2i23−23002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ132ζ132ζ13−2ζ13−2ζ52ζ52ζ5−2ζ52ζ23−2ζ23−2ζ232ζ232ζ7−2ζ7−2ζ72ζ700000000000000000000000000000000
χ954-4-4400-2000−4i4i0002i3−2i3−2i32i322-223−232i−2i−2i2i−232300−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23000000002ζ5−2ζ5−2ζ52ζ52ζ13−2ζ13−2ζ132ζ13−2ζ72ζ72ζ7−2ζ7−2ζ232ζ232ζ23−2ζ2300000000000000000000000000000000
χ964-4-4400-2000−4i4i0002i3−2i3−2i32i322-223−232i−2i−2i2i−2323002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ52ζ52ζ5−2ζ5−2ζ132ζ132ζ13−2ζ132ζ7−2ζ7−2ζ72ζ72ζ23−2ζ23−2ζ232ζ2300000000000000000000000000000000

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