Finite Group Databasebeta

← Group #11795081

Character table — Group #11795081

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222222233444466666666666666121212121212121234444666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ92222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ102222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-22-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ11222222222-122222222-1-1-1222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ12222222222-122222222-1-1-1222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ13222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-2-1-1-1-111110000
χ14222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-2221111-1-1-1-10000
χ15222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000−i3−i3i3i3−i3−i3i3i30000
χ16222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000i3i3−i3−i3i3i3−i3−i30000
χ17222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-11111-2-2-2-211112222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3−i3i3i3i3i3−i3−i30000
χ18222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-11111-2-2-2-211112222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000i3i3−i3−i3−i3−i3i3i30000
χ1922222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2122222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2222222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2322222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122221111-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000003333−3−3−3−33333−3−3−3−30000000000000000
χ2422222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122221111-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000−3−3−3−33333−3−3−3−333330000000000000000
χ2522222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-1-1-1-122221111111111111111-1-1-1-1-1-1-1-1000000003333−3−3−3−3−3−3−3−333330000000000000000
χ2622222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-1-1-1-122221111111111111111-1-1-1-1-1-1-1-100000000−3−3−3−333333333−3−3−3−30000000000000000
χ27222-22-2-2-222000022-2-222-22-2-22-2-2-20000000022-20022-2-22-2-2000022-2-222-2-200000000000000002222-2-2-2-20000000022−2−222−2−222−2−222−2−222−2−222−2−20000000000000000
χ28222-22-2-2-222000022-2-222-22-2-22-2-2-20000000022-20022-2-22-2-2000022-2-222-2-200000000000000002222-2-2-2-200000000−2−222−2−222−2−222−2−222−2−222−2−2220000000000000000
χ29222-22-2-2-222000022-2-222-22-2-22-2-2-2000000002-220022-2-22-2-20000-2-222-2-2220000000000000000-2-2-2-222220000000022−2−2−2−22222−2−222−2−2−2−222−2−2220000000000000000
χ30222-22-2-2-222000022-2-222-22-2-22-2-2-2000000002-220022-2-22-2-20000-2-222-2-2220000000000000000-2-2-2-2222200000000−2−22222−2−2−2−222−2−22222−2−222−2−20000000000000000
χ31222-22-2-2-2-120000-1-11122-2-1112-2-2-233−3−333−3−3-12-200-1-111-1110000-1-11122-2-233−3−300003333−3−3−3−3-1-1-1-111113333−3−3−3−322−2−222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ32222-22-2-2-2-120000-1-11122-2-1112-2-2-233−3−333−3−3-12-200-1-111-1110000-1-11122-2-233−3−300003333−3−3−3−3-1-1-1-111113333−3−3−3−3−2−222−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ33222-22-2-2-2-120000-1-11122-2-1112-2-2-233−3−333−3−3-1-2200-1-111-111000011-1-1-2-222−3−33300003333−3−3−3−31111-1-1-1-1−3−3−3−3333322−2−2−2−222ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ34222-22-2-2-2-120000-1-11122-2-1112-2-2-233−3−333−3−3-1-2200-1-111-111000011-1-1-2-222−3−33300003333−3−3−3−31111-1-1-1-1−3−3−3−33333−2−22222−2−2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ35222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−333−3−333-12-200-1-111-1110000-1-11122-2-2−3−3330000−3−3−3−33333-1-1-1-11111−3−3−3−3333322−2−222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ36222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−333−3−333-12-200-1-111-1110000-1-11122-2-2−3−3330000−3−3−3−33333-1-1-1-11111−3−3−3−33333−2−222−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ37222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−333−3−333-1-2200-1-111-111000011-1-1-2-22233−3−30000−3−3−3−333331111-1-1-1-13333−3−3−3−322−2−2−2−222ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ38222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−333−3−333-1-2200-1-111-111000011-1-1-2-22233−3−30000−3−3−3−333331111-1-1-1-13333−3−3−3−3−2−22222−2−2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ3922-22-22-2-2222-22-22-22-22-22-22-2-22-2-22-22-22-22-2200002-22-2-22-222-2-2000000000000000022-2-222-2-2000000000000000000002-22-2000000002-22-22-22-20000000000000000
χ4022-22-22-2-2222-22-22-22-22-22-22-2-22-2-22-22-22-22-2200002-22-2-22-222-2-2000000000000000022-2-222-2-200000000000000000000-22-2200000000-22-22-22-220000000000000000
χ4122-22-22-2-222-22-222-22-22-22-22-2-22-2-2-22-22-22-22200002-22-2-22-2-2-2220000000000000000-2-222-2-22200000000000000002-22-200002-22-22-22-2000000000000000000000000
χ4222-22-22-2-222-22-222-22-22-22-22-2-22-2-2-22-22-22-22200002-22-2-22-2-2-2220000000000000000-2-222-2-2220000000000000000-22-220000-22-22-22-22000000000000000000000000
χ4322-22-22-2-2-122-22-2-11-112-221-11-22-2-2-11-11-11-11-10000-11-111-1122-2-23−33−300003−33−30000-1-111-1-11133−3−333−3−333−3−333−3−300002-22-23−33−3−33−33-11-11-11-110000000000000000
χ4422-22-22-2-2-122-22-2-11-112-221-11-22-2-2-11-11-11-11-10000-11-111-1122-2-23−33−300003−33−30000-1-111-1-11133−3−333−3−333−3−333−3−30000-22-22−33−333−33−31-11-11-11-10000000000000000
χ4522-22-22-2-2-122-22-2-11-112-221-11-22-2-2-11-11-11-11-10000-11-111-1122-2-2−33−330000−33−330000-1-111-1-111−3−333−3−333−3−333−3−33300002-22-2−33−333−33−3-11-11-11-110000000000000000
χ4622-22-22-2-2-122-22-2-11-112-221-11-22-2-2-11-11-11-11-10000-11-111-1122-2-2−33−330000−33−330000-1-111-1-111−3−333−3−333−3−333−3−3330000-22-223−33−3−33−331-11-11-11-10000000000000000
χ4722-22-22-2-2-12-22-22-11-112-221-11-22-2-21-11-11-11-1-10000-11-111-11-2-2223−33−30000−33−33000011-1-111-1-133−3−333−3−3−3−333−3−3332-22-20000-11-11-11-11−33−333−33−30000000000000000
χ4822-22-22-2-2-12-22-22-11-112-221-11-22-2-21-11-11-11-1-10000-11-111-11-2-2223−33−30000−33−33000011-1-111-1-133−3−333−3−3−3−333−3−333-22-2200001-11-11-11-13−33−3−33−330000000000000000
χ4922-22-22-2-2-12-22-22-11-112-221-11-22-2-21-11-11-11-1-10000-11-111-11-2-222−33−3300003−33−3000011-1-111-1-1−3−333−3−33333−3−333−3−32-22-20000-11-11-11-113−33−3−33−330000000000000000
χ5022-22-22-2-2-12-22-22-11-112-221-11-22-2-21-11-11-11-1-10000-11-111-11-2-222−33−3300003−33−3000011-1-111-1-1−3−333−3−33333−3−333−3−3-22-2200001-11-11-11-1−33−333−33−30000000000000000
χ5122-2-2-2-2222200002-2-222-2-2-2-22-2-222000000002002-22-2-22-2-220000000000002-2-2222-2-2000000000000000022-2-2-2-2222−2−222−2−222−2−222−2−222−2−222−2−220000000000000000
χ5222-2-2-2-2222200002-2-222-2-2-2-22-2-222000000002002-22-2-22-2-220000000000002-2-2222-2-2000000000000000022-2-2-2-222−222−2−222−2−222−2−222−2−222−2−222−20000000000000000
χ5322-2-2-2-2222200002-2-222-2-2-2-22-2-22200000000200-222-2-22-2-22000000000000-222-2-2-2220000000000000000-2-22222-2-22−2−22−222−22−2−222−2−22−222−2−222−20000000000000000
χ5422-2-2-2-2222200002-2-222-2-2-2-22-2-22200000000200-222-2-22-2-22000000000000-222-2-2-2220000000000000000-2-22222-2-2−222−22−2−22−222−2−222−22−2−222−2−220000000000000000
χ5522-2-2-2-222-120000-111-12-2-211-1-2-2223−3−333−3−33-1002-2-111-111-10000−333−30000-111-122-2-233−3−3−3−333−3−33333−3−3-1-11111-1-12−2−222−2−22ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ230000000000000000
χ5622-2-2-2-222-120000-111-12-2-211-1-2-2223−3−333−3−33-1002-2-111-111-10000−333−30000-111-122-2-233−3−3−3−333−3−33333−3−3-1-11111-1-1−222−2−222−2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ230000000000000000
χ5722-2-2-2-222-120000-111-12-2-211-1-2-2223−3−333−3−33-100-22-111-111-100003−3−3300001-1-11-2-22233−3−3−3−33333−3−3−3−33311-1-1-1-1112−2−22−222−2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ230000000000000000
χ5822-2-2-2-222-120000-111-12-2-211-1-2-2223−3−333−3−33-100-22-111-111-100003−3−3300001-1-11-2-22233−3−3−3−33333−3−3−3−33311-1-1-1-111−222−22−2−22−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ230000000000000000
χ5922-2-2-2-222-120000-111-12-2-211-1-2-222−333−3−333−3-1002-2-111-111-100003−3−330000-111-122-2-2−3−33333−3−333−3−3−3−333-1-11111-1-12−2−222−2−22ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ70000000000000000
χ6022-2-2-2-222-120000-111-12-2-211-1-2-222−333−3−333−3-1002-2-111-111-100003−3−330000-111-122-2-2−3−33333−3−333−3−3−3−333-1-11111-1-1−222−2−222−2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ70000000000000000
χ6122-2-2-2-222-120000-111-12-2-211-1-2-222−333−3−333−3-100-22-111-111-10000−333−300001-1-11-2-222−3−33333−3−3−3−33333−3−311-1-1-1-1112−2−22−222−2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ70000000000000000
χ6222-2-2-2-222-120000-111-12-2-211-1-2-222−333−3−333−3-100-22-111-111-10000−333−300001-1-11-2-222−3−33333−3−3−3−33333−3−311-1-1-1-111−222−22−2−22−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ70000000000000000
χ632-22-2-22-222222-2-2-22-22-22-2-22-2-22-222222-2-2-2-220000-22-22-22-22-22-200000000000000002-22-22-22-200000000000000000000000000000000000000000000000000002i−2i00
χ642-22-2-22-222222-2-2-22-22-22-2-22-2-22-222222-2-2-2-220000-22-22-22-22-22-200000000000000002-22-22-22-20000000000000000000000000000000000000000000000000000−2i2i00
χ652-22-2-22-2222-2-222-22-22-22-2-22-2-22-22-2-2-2-2222220000-22-22-22-2-22-220000000000000000-22-22-22-220000000000000000000000000000000000000000000000000000002-2
χ662-22-2-22-2222-2-222-22-22-22-2-22-2-22-22-2-2-2-2222220000-22-22-22-2-22-220000000000000000-22-22-22-22000000000000000000000000000000000000000000000000000000-22
χ672-2-2-2222-2222-2-22-2-2-2-2-2-2-2222222-22-22-2-22-2220000-2-2-2-22222-2-2200000000000000002-2-222-2-220000000000000000000000000000000000000000002i−2i00002i−2i2i−2i0000
χ682-2-2-2222-2222-2-22-2-2-2-2-2-2-2222222-22-22-2-22-2220000-2-2-2-22222-2-2200000000000000002-2-222-2-22000000000000000000000000000000000000000000−2i2i0000−2i2i−2i2i0000
χ692-2-2-2222-222-222-2-2-2-2-2-2-2-2222222-2-22-222-22-220000-2-2-2-2222-222-20000000000000000-222-2-222-200000000000000000000000000000000000000002i−2i002i−2i2i−2i00000000
χ702-2-2-2222-222-222-2-2-2-2-2-2-2-2222222-2-22-222-22-220000-2-2-2-2222-222-20000000000000000-222-2-222-20000000000000000000000000000000000000000−2i2i00−2i2i−2i2i00000000
χ712-2-2-2222-22-12-2-22-2-2-2-2111222-1-1-112-22-2-22-22-100001111-1-1-1-111-10000−i3i3−i3i30000−i3i3−i3i3-111-1-111-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000002i−2i3−3−33−ii−ii0000
χ722-2-2-2222-22-12-2-22-2-2-2-2111222-1-1-112-22-2-22-22-100001111-1-1-1-111-10000−i3i3−i3i30000−i3i3−i3i3-111-1-111-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000−2i2i−333−3i−ii−i0000
χ732-2-2-2222-22-12-2-22-2-2-2-2111222-1-1-112-22-2-22-22-100001111-1-1-1-111-10000i3−i3i3−i30000i3−i3i3−i3-111-1-111-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000002i−2i−333−3−ii−ii0000
χ742-2-2-2222-22-12-2-22-2-2-2-2111222-1-1-112-22-2-22-22-100001111-1-1-1-111-10000i3−i3i3−i30000i3−i3i3−i3-111-1-111-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000−2i2i3−3−33i−ii−i0000
χ752-2-2-2222-22-1-222-2-2-2-2-2111222-1-1-11-22-222-22-2-100001111-1-1-11-1-110000−i3i3−i3i30000i3−i3i3−i31-1-111-1-11−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i30000000000000000000000002i−2i00−ii−ii3−3−330000
χ762-2-2-2222-22-1-222-2-2-2-2-2111222-1-1-11-22-222-22-2-100001111-1-1-11-1-110000−i3i3−i3i30000i3−i3i3−i31-1-111-1-11−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000−2i2i00i−ii−i−333−30000
χ772-2-2-2222-22-1-222-2-2-2-2-2111222-1-1-11-22-222-22-2-100001111-1-1-11-1-110000i3−i3i3−i30000−i3i3−i3i31-1-111-1-11i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i30000000000000000000000002i−2i00−ii−ii−333−30000
χ782-2-2-2222-22-1-222-2-2-2-2-2111222-1-1-11-22-222-22-2-100001111-1-1-11-1-110000i3−i3i3−i30000−i3i3−i3i31-1-111-1-11i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000−2i2i00i−ii−i3−3−330000
χ7944444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111110000000000000000000000000000000000000000
χ8044444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111-2-2-2-2222222222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ8144444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222144-4-411111112222-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ8244444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222221-4-4441111111222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000000000000000000000000000
χ83444-44-4-4-44-2000044-4-4-2-224-4-4-222200000000-24-400-2-222-222000044-4-4-2-2220000000000000000-2-2-2-22222000000000000000000000000000000000000000000000000
χ84444-44-4-4-44-2000044-4-4-2-224-4-4-222200000000-2-4400-2-222-2220000-4-44422-2-200000000000000002222-2-2-2-2000000000000000000000000000000000000000000000000
χ85444-44-4-4-4-2-20000-2-222-2-22-222-22222323−23−232323−23−2314-40011-1-11-1-10000-2-222-2-2222323−23−230000−3−3−3−333331111-1-1-1-1−3−3−3−333330000000000000000000000000000000000000000
χ86444-44-4-4-4-2-20000-2-222-2-22-222-22222323−23−232323−23−231-440011-1-11-1-1000022-2-222-2-2−23−2323230000−3−3−3−33333-1-1-1-111113333−3−3−3−30000000000000000000000000000000000000000
χ87444-44-4-4-4-2-20000-2-222-2-22-222-2222−23−232323−23−23232314-40011-1-11-1-10000-2-222-2-222−23−23232300003333−3−3−3−31111-1-1-1-13333−3−3−3−30000000000000000000000000000000000000000
χ88444-44-4-4-4-2-20000-2-222-2-22-222-2222−23−232323−23−2323231-440011-1-11-1-1000022-2-222-2-22323−23−2300003333−3−3−3−3-1-1-1-11111−3−3−3−333330000000000000000000000000000000000000000
χ8944-44-44-4-44-24-44-44-44-4-22-2-44-42-2224-44-44-44-4-20000-22-222-22-2-2220000000000000000-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ9044-44-44-4-44-2-44-444-44-4-22-2-44-42-222-44-44-44-44-20000-22-222-2222-2-2000000000000000022-2-222-2-200000000000000000000000000000000000000000000000000000000
χ9144-44-44-4-4-2-24-44-4-22-22-22-22-222-222-22-22-22-22100001-11-1-11-1-2-22223−2323−23000023−2323−23000011-1-111-1-1−3−333−3−333−3−333−3−3330000000000000000000000000000000000000000
χ9244-44-44-4-4-2-24-44-4-22-22-22-22-222-222-22-22-22-22100001-11-1-11-1-2-222−2323−23230000−2323−2323000011-1-111-1-133−3−333−3−333−3−333−3−30000000000000000000000000000000000000000
χ9344-44-44-4-4-2-2-44-44-22-22-22-22-222-2222-22-22-22-2100001-11-1-11-122-2-223−2323−230000−2323−23230000-1-111-1-111−3−333−3−33333−3−333−3−30000000000000000000000000000000000000000
χ9444-44-44-4-4-2-2-44-44-22-22-22-22-222-2222-22-22-22-2100001-11-1-11-122-2-2−2323−2323000023−2323−230000-1-111-1-11133−3−333−3−3−3−333−3−3330000000000000000000000000000000000000000
χ9544-4-4-4-4444-200004-4-44-222-4-4422-2-200000000-2004-4-222-222-20000000000004-4-44-2-2220000000000000000-2-22222-2-20000000000000000000000000000000000000000
χ9644-4-4-4-4444-200004-4-44-222-4-4422-2-200000000-200-44-222-222-2000000000000-444-422-2-2000000000000000022-2-2-2-2220000000000000000000000000000000000000000
χ9744-4-4-4-444-2-20000-222-2-22222-222-2-223−23−232323−23−23231004-41-1-11-1-110000−232323−230000-222-2-2-222−3−33333−3−333−3−3−3−33311-1-1-1-1110000000000000000000000000000000000000000
χ9844-4-4-4-444-2-20000-222-2-22222-222-2-223−23−232323−23−2323100-441-1-11-1-11000023−23−232300002-2-2222-2-2−3−33333−3−3−3−33333−3−3-1-11111-1-10000000000000000000000000000000000000000
χ9944-4-4-4-444-2-20000-222-2-22222-222-2-2−232323−23−232323−231004-41-1-11-1-11000023−23−23230000-222-2-2-22233−3−3−3−333−3−33333−3−311-1-1-1-1110000000000000000000000000000000000000000
χ10044-4-4-4-444-2-20000-222-2-22222-222-2-2−232323−23−232323−23100-441-1-11-1-110000−232323−2300002-2-2222-2-233−3−3−3−33333−3−3−3−333-1-11111-1-10000000000000000000000000000000000000000
χ1014-444-4-44-4440000-444-4-444-4-44-4-44-40000000040000-444-4-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-444-4-44-44-20000-444-42-2-2-4-4422-2200000000-200002-2-2222-20000000000000000−2i32i32i3−2i30000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000
χ1034-444-4-44-44-20000-444-42-2-2-4-4422-2200000000-200002-2-2222-200000000000000002i3−2i3−2i32i300000000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000
χ1044-444-4-44-4-2400002-2-22-44422-2-4-44-42323−23−23−23−232323-200002-2-2222-20000000000000000000023−2323−23−2323−232300000000000000000000000000000000000000000000000000000000
χ1054-444-4-44-4-2400002-2-22-44422-2-4-44-4−23−2323232323−23−23-200002-2-2222-200000000000000000000−2323−232323−2323−2300000000000000000000000000000000000000000000000000000000
χ1064-444-4-44-4-2-200002-2-222-2-222-222-222323−23−23−23−23232310000-111-1-1-110000000000000000−2i32i32i3−2i3−33−333−33−33i−3i−3i3i−3i3i3i−3ii3−i3−i3i3−i3i3i3−i30000000000000000000000000000000000000000
χ1074-444-4-44-4-2-200002-2-222-2-222-222-222323−23−23−23−23232310000-111-1-1-1100000000000000002i3−2i3−2i32i3−33−333−33−3−3i3i3i−3i3i−3i−3i3i−i3i3i3−i3i3−i3−i3i30000000000000000000000000000000000000000
χ1084-444-4-44-4-2-200002-2-222-2-222-222-22−23−2323232323−23−2310000-111-1-1-110000000000000000−2i32i32i3−2i33−33−3−33−33−3i3i3i−3i3i−3i−3i3ii3−i3−i3i3−i3i3i3−i30000000000000000000000000000000000000000
χ1094-444-4-44-4-2-200002-2-222-2-222-222-22−23−2323232323−23−2310000-111-1-1-1100000000000000002i3−2i3−2i32i33−33−3−33−333i−3i−3i3i−3i3i3i−3i−i3i3i3−i3i3−i3−i3i30000000000000000000000000000000000000000
χ1104-44-4-44-444-244-4-4-44-442-22-44-42-22-24444-4-4-4-4-200002-22-22-22-22-220000000000000000-22-22-22-2200000000000000000000000000000000000000000000000000000000
χ1114-44-4-44-444-2-4-444-44-442-22-44-42-22-2-4-4-4-44444-200002-22-22-222-22-200000000000000002-22-22-22-200000000000000000000000000000000000000000000000000000000
χ1124-44-4-44-44-2444-4-42-22-2-44-42-22-44-44-2-2-2-22222-200002-22-22-224-44-40000000000000000-22-22-22-2200000000000000000000000000000000000000000000000000000000
χ1134-44-4-44-44-24-4-4442-22-2-44-42-22-44-442222-2-2-2-2-200002-22-22-22-44-4400000000000000002-22-22-22-200000000000000000000000000000000000000000000000000000000
χ1144-44-4-44-44-2-244-4-42-22-22-222-222-22-2-2-2-2-2222210000-11-11-11-1-22-2200000000000000001-11-11-11-13i−3i−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000
χ1154-44-4-44-44-2-244-4-42-22-22-222-222-22-2-2-2-2-2222210000-11-11-11-1-22-2200000000000000001-11-11-11-1−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000
χ1164-44-4-44-44-2-2-4-4442-22-22-222-222-22-22222-2-2-2-210000-11-11-11-12-22-20000000000000000-11-11-11-113i−3i−3i3i3i−3i−3i3i−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000
χ1174-44-4-44-44-2-2-4-4442-22-22-222-222-22-22222-2-2-2-210000-11-11-11-12-22-20000000000000000-11-11-11-11−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000
χ1184-4-444-4-44440000-4-444-4-444-4-44-4-440000000040000-4-4444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1194-4-444-4-444-20000-4-44422-24-4-4-222-200000000-2000022-2-2-22200000000−2i32i32i3−2i30000000000000000−2i32i3−2i32i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000
χ1204-4-444-4-444-20000-4-44422-24-4-4-222-200000000-2000022-2-2-222000000002i3−2i3−2i32i300000000000000002i3−2i32i3−2i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000
χ1214-4-444-4-44-24000022-2-2-4-44-2224-4-4423−23−2323−232323−23-2000022-2-2-2220000000000000000000023−23−2323−232323−2300000000000000000000000000000000000000000000000000000000
χ1224-4-444-4-44-24000022-2-2-4-44-2224-4-44−232323−2323−23−2323-2000022-2-2-22200000000000000000000−232323−2323−23−232300000000000000000000000000000000000000000000000000000000
χ1234-4-444-4-44-2-2000022-2-222-2-222-222-223−23−2323−232323−2310000-1-1111-1-100000000−2i32i32i3−2i300000000−333−33−3−33i3−i3i3−i3−i3i3−i3i3−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000
χ1244-4-444-4-44-2-2000022-2-222-2-222-222-223−23−2323−232323−2310000-1-1111-1-1000000002i3−2i3−2i32i300000000−333−33−3−33−i3i3−i3i3i3−i3i3−i33i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000
χ1254-4-444-4-44-2-2000022-2-222-2-222-222-2−232323−2323−23−232310000-1-1111-1-100000000−2i32i32i3−2i3000000003−3−33−333−3i3−i3i3−i3−i3i3−i3i33i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000
χ1264-4-444-4-44-2-2000022-2-222-2-222-222-2−232323−2323−23−232310000-1-1111-1-1000000002i3−2i3−2i32i3000000003−3−33−333−3−i3i3−i3i3i3−i3i3−i3−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000
χ1274-4-4-4444-4-244-4-442222-4-4-4-2-2-2444-4-22-222-22-2-200002222-2-2-24-4-440000000000000000-222-2-222-200000000000000000000000000000000000000000000000000000000
χ1284-4-4-4444-4-24-444-42222-4-4-4-2-2-2444-42-22-2-22-22-200002222-2-2-2-444-400000000000000002-2-222-2-2200000000000000000000000000000000000000000000000000000000
χ1294-4-4-4444-4-2-24-4-442222222-2-2-2-2-2-22-22-222-22-210000-1-1-1-1111-222-20000−2i32i3−2i32i30000−2i32i3−2i32i31-1-111-1-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000
χ1304-4-4-4444-4-2-24-4-442222222-2-2-2-2-2-22-22-222-22-210000-1-1-1-1111-222-200002i3−2i32i3−2i300002i3−2i32i3−2i31-1-111-1-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000
χ1314-4-4-4444-4-2-2-444-42222222-2-2-2-2-2-222-22-2-22-2210000-1-1-1-11112-2-220000−2i32i3−2i32i300002i3−2i32i3−2i3-111-1-111-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000
χ1324-4-4-4444-4-2-2-444-42222222-2-2-2-2-2-222-22-2-22-2210000-1-1-1-11112-2-2200002i3−2i32i3−2i30000−2i32i3−2i32i3-111-1-111-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000

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