Finite Group Databasebeta

← Group #11792609

Character table — Group #11792609

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222222233444466666666666666121212121212121234444666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444412121212121212122244
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
χ51111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ92222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ102222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-22-2-2222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ11222222222-122222222-1-1-1222-1-1-1-122222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ12222222222-122222222-1-1-1222-1-1-1-122222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ13222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-2-1-1-1-111110000
χ14222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-2221111-1-1-1-10000
χ15222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000−i3−i3i3i3−i3−i3i3i30000
χ16222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000i3i3−i3−i3i3i3−i3−i30000
χ17222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-111111111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3−i3i3i3i3i3−i3−i30000
χ18222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-111111111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000i3i3−i3−i3−i3−i3i3i30000
χ1922222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2122222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-22222-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2222222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2322222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-1-1-1-122221111-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000003333−3−3−3−33333−3−3−3−30000000000000000
χ2422222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-1-1-1-122221111-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000−3−3−3−33333−3−3−3−333330000000000000000
χ2522222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-12222-2-2-2-21111111111111111-1-1-1-1-1-1-1-1000000003333−3−3−3−3−3−3−3−333330000000000000000
χ2622222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-12222-2-2-2-21111111111111111-1-1-1-1-1-1-1-100000000−3−3−3−333333333−3−3−3−30000000000000000
χ27222-2-2-2-222222-2-222-2-222-22-2-2-2-2-222222-2-2-2-22000022-2-22-2-2000000000000000022-2-22222-2-2-2-200000000000000000000000000000000000000002i−2i002i−2i2i−2i00000000
χ28222-2-2-2-222222-2-222-2-222-22-2-2-2-2-222222-2-2-2-22000022-2-22-2-2000000000000000022-2-22222-2-2-2-20000000000000000000000000000000000000000−2i2i00−2i2i−2i2i00000000
χ29222-2-2-2-2222-2-22222-2-222-22-2-2-2-2-22-2-2-2-222222000022-2-22-2-20000000000000000-2-222-2-2-2-222220000000000000000000000000000000000000000002-200002-22-20000
χ30222-2-2-2-2222-2-22222-2-222-22-2-2-2-2-22-2-2-2-222222000022-2-22-2-20000000000000000-2-222-2-2-2-22222000000000000000000000000000000000000000000-220000-22-220000
χ31222-2-2-2-222-122-2-222-2-2-1-112-2-2111-12222-2-2-2-2-10000-1-111-111000033−3−3000033−3−3-1-111-1-1-1-111113333−3−3−3−33333−3−3−3−30000000000000000000000002i−2i00−ii−ii−i3i3i3−i30000
χ32222-2-2-2-222-122-2-222-2-2-1-112-2-2111-12222-2-2-2-2-10000-1-111-111000033−3−3000033−3−3-1-111-1-1-1-111113333−3−3−3−33333−3−3−3−3000000000000000000000000−2i2i00i−ii−ii3−i3−i3i30000
χ33222-2-2-2-222-122-2-222-2-2-1-112-2-2111-12222-2-2-2-2-10000-1-111-1110000−3−3330000−3−333-1-111-1-1-1-11111−3−3−3−33333−3−3−3−333330000000000000000000000002i−2i00−ii−iii3−i3−i3i30000
χ34222-2-2-2-222-122-2-222-2-2-1-112-2-2111-12222-2-2-2-2-10000-1-111-1110000−3−3330000−3−333-1-111-1-1-1-11111−3−3−3−33333−3−3−3−33333000000000000000000000000−2i2i00i−ii−i−i3i3i3−i30000
χ35222-2-2-2-222-1-2-22222-2-2-1-112-2-2111-1-2-2-2-22222-10000-1-111-111000033−3−30000−3−33311-1-11111-1-1-1-13333−3−3−3−3−3−3−3−33333000000000000000000000000002-23−3−33-11-110000
χ36222-2-2-2-222-1-2-22222-2-2-1-112-2-2111-1-2-2-2-22222-10000-1-111-111000033−3−30000−3−33311-1-11111-1-1-1-13333−3−3−3−3−3−3−3−3333300000000000000000000000000-22−333−31-11-10000
χ37222-2-2-2-222-1-2-22222-2-2-1-112-2-2111-1-2-2-2-22222-10000-1-111-1110000−3−333000033−3−311-1-11111-1-1-1-1−3−3−3−333333333−3−3−3−3000000000000000000000000002-2−333−3-11-110000
χ38222-2-2-2-222-1-2-22222-2-2-1-112-2-2111-1-2-2-2-22222-10000-1-111-1110000−3−333000033−3−311-1-11111-1-1-1-1−3−3−3−333333333−3−3−3−300000000000000000000000000-223−3−331-11-10000
χ3922-2-22-22-22200002-22-22-2-2-22-22-22-2000000002002i−2i2-22-2-22-2000000002i2i−2i−2i2i−2i2i−2i000000000000000000002i2i−2i−2i2i2i−2i−2i22−2−2−i2−i2i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ4022-2-22-22-22200002-22-22-2-2-22-22-22-2000000002002i−2i2-22-2-22-2000000002i2i−2i−2i2i−2i2i−2i000000000000000000002i2i−2i−2i2i2i−2i−2i−2−222i2i2−i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000
χ4122-2-22-22-22200002-22-22-2-2-22-22-22-200000000200−2i2i2-22-2-22-200000000−2i−2i2i2i−2i2i−2i2i00000000000000000000−2i−2i2i2i−2i−2i2i2i22−2−2i2i2−i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000
χ4222-2-22-22-22200002-22-22-2-2-22-22-22-200000000200−2i2i2-22-2-22-200000000−2i−2i2i2i−2i2i−2i2i00000000000000000000−2i−2i2i2i−2i−2i2i2i−2−222−i2−i2i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000000000
χ4322-2-22-22-2-120000-11-112-2-21-112-22-233−3−333−3−3-1002i−2i-11-111-11−i3−i3i3i30000−i−iii2i−2i2i−2i000033−3−333−3−3−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii22−2−2−i2−i2i2i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ4422-2-22-22-2-120000-11-112-2-21-112-22-233−3−333−3−3-1002i−2i-11-111-11−i3−i3i3i30000−i−iii2i−2i2i−2i000033−3−333−3−3−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii−2−222i2i2−i2−i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ4522-2-22-22-2-120000-11-112-2-21-112-22-233−3−333−3−3-100−2i2i-11-111-11i3i3−i3−i30000ii−i−i−2i2i−2i2i000033−3−333−3−3i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i22−2−2i2i2−i2−i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ4622-2-22-22-2-120000-11-112-2-21-112-22-233−3−333−3−3-100−2i2i-11-111-11i3i3−i3−i30000ii−i−i−2i2i−2i2i000033−3−333−3−3i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i−2−222−i2−i2i2i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ4722-2-22-22-2-120000-11-112-2-21-112-22-2−3−333−3−333-1002i−2i-11-111-11i3i3−i3−i30000−i−iii2i−2i2i−2i0000−3−333−3−333i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii22−2−2−i2−i2i2i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ4822-2-22-22-2-120000-11-112-2-21-112-22-2−3−333−3−333-1002i−2i-11-111-11i3i3−i3−i30000−i−iii2i−2i2i−2i0000−3−333−3−333i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii−2−222i2i2−i2−i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ4922-2-22-22-2-120000-11-112-2-21-112-22-2−3−333−3−333-100−2i2i-11-111-11−i3−i3i3i30000ii−i−i−2i2i−2i2i0000−3−333−3−333−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i22−2−2i2i2−i2−i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ5022-2-22-22-2-120000-11-112-2-21-112-22-2−3−333−3−333-100−2i2i-11-111-11−i3−i3i3i30000ii−i−i−2i2i−2i2i0000−3−333−3−333−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i−2−222−i2−i2i2i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ512-22-2-222-2220000-222-2-22-2-2-22-222-20000000022i−2i00-222-2-2-222i−2i2i−2i2i−2i2i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i000000002−22−2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ522-22-2-222-2220000-222-2-22-2-2-22-222-20000000022i−2i00-222-2-2-222i−2i2i−2i2i−2i2i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i00000000−22−22i2−i2i2−i2−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ532-22-2-222-2220000-222-2-22-2-2-22-222-2000000002−2i2i00-222-2-2-22−2i2i−2i2i−2i2i−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i000000002−22−2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ542-22-2-222-2220000-222-2-22-2-2-22-222-2000000002−2i2i00-222-2-2-22−2i2i−2i2i−2i2i−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i00000000−22−22−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ552-22-2-222-2-1200001-1-11-22-211-1-222-23−33−33−33−3-12i−2i001-1-1111-1−ii−ii2i−2i2i−2i−i3i3−i3i3000000003−33−33−33−3−ii−ii−ii−ii−i3i3−i3i3−i3i3−i3i32−22−2−i2i2−i2i2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ70000000000000000
χ562-22-2-222-2-1200001-1-11-22-211-1-222-23−33−33−33−3-12i−2i001-1-1111-1−ii−ii2i−2i2i−2i−i3i3−i3i3000000003−33−33−33−3−ii−ii−ii−ii−i3i3−i3i3−i3i3−i3i3−22−22i2−i2i2−i2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70000000000000000
χ572-22-2-222-2-1200001-1-11-22-211-1-222-23−33−33−33−3-1−2i2i001-1-1111-1i−ii−i−2i2i−2i2ii3−i3i3−i3000000003−33−33−33−3i−ii−ii−ii−ii3−i3i3−i3i3−i3i3−i32−22−2i2−i2i2−i2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70000000000000000
χ582-22-2-222-2-1200001-1-11-22-211-1-222-23−33−33−33−3-1−2i2i001-1-1111-1i−ii−i−2i2i−2i2ii3−i3i3−i3000000003−33−33−33−3i−ii−ii−ii−ii3−i3i3−i3i3−i3i3−i3−22−22−i2i2−i2i2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ70000000000000000
χ592-22-2-222-2-1200001-1-11-22-211-1-222-2−33−33−33−33-12i−2i001-1-1111-1−ii−ii2i−2i2i−2ii3−i3i3−i300000000−33−33−33−33−ii−ii−ii−iii3−i3i3−i3i3−i3i3−i32−22−2−i2i2−i2i2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230000000000000000
χ602-22-2-222-2-1200001-1-11-22-211-1-222-2−33−33−33−33-12i−2i001-1-1111-1−ii−ii2i−2i2i−2ii3−i3i3−i300000000−33−33−33−33−ii−ii−ii−iii3−i3i3−i3i3−i3i3−i3−22−22i2−i2i2−i2−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230000000000000000
χ612-22-2-222-2-1200001-1-11-22-211-1-222-2−33−33−33−33-1−2i2i001-1-1111-1i−ii−i−2i2i−2i2i−i3i3−i3i300000000−33−33−33−33i−ii−ii−ii−i−i3i3−i3i3−i3i3−i3i32−22−2i2−i2i2−i2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230000000000000000
χ622-22-2-222-2-1200001-1-11-22-211-1-222-2−33−33−33−33-1−2i2i001-1-1111-1i−ii−i−2i2i−2i2i−i3i3−i3i300000000−33−33−33−33i−ii−ii−ii−i−i3i3−i3i3−i3i3−i3i3−22−22−i2i2−i2i2−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230000000000000000
χ632-2-22-2-222222-22-2-2-222-2-222-2-2-2-2222-2-222-2-2220000-2-2222-2-200000000000000002-22-22-2-222-2-2200000000000000002-2-2200002-2-222-2-22000000000000000000000000
χ642-2-22-2-222222-22-2-2-222-2-222-2-2-2-2222-2-222-2-2220000-2-2222-2-200000000000000002-22-22-2-222-2-220000000000000000-222-20000-222-2-222-2000000000000000000000000
χ652-2-22-2-22222-22-22-2-222-2-222-2-2-2-222-222-2-222-220000-2-2222-2-20000000000000000-22-22-222-2-222-2000000000000000000002-2-22000000002-2-222-2-220000000000000000
χ662-2-22-2-22222-22-22-2-222-2-222-2-2-2-222-222-2-222-220000-2-2222-2-20000000000000000-22-22-222-2-222-200000000000000000000-222-200000000-222-2-222-20000000000000000
χ672-2-22-2-222-122-22-211-1-1-2-22-111-2-222-111-1-111-1-1000011-1-1-1113−3−330000−333−300002-22-2-111-1-111-13−3−333−3−33−333−3−333−32-2-220000-111-1-111-13−3−33−333−30000000000000000
χ682-2-22-2-222-122-22-211-1-1-2-22-111-2-222-111-1-111-1-1000011-1-1-1113−3−330000−333−300002-22-2-111-1-111-13−3−333−3−33−333−3−333−3-222-200001-1-111-1-11−333−33−3−330000000000000000
χ692-2-22-2-222-122-22-211-1-1-2-22-111-2-222-111-1-111-1-1000011-1-1-111−333−300003−3−3300002-22-2-111-1-111-1−333−3−333−33−3−333−3−332-2-220000-111-1-111-1−333−33−3−330000000000000000
χ702-2-22-2-222-122-22-211-1-1-2-22-111-2-222-111-1-111-1-1000011-1-1-111−333−300003−3−3300002-22-2-111-1-111-1−333−3−333−33−3−333−3−33-222-200001-1-111-1-113−3−33−333−30000000000000000
χ712-2-22-2-222-12-22-2211-1-1-2-22-111-2-2221-1-111-1-11-1000011-1-1-1113−3−3300003−3−330000-22-221-1-111-1-113−3−333−3−333−3−333−3−3300002-2-22−333−33−3−33-111-1-111-10000000000000000
χ722-2-22-2-222-12-22-2211-1-1-2-22-111-2-2221-1-111-1-11-1000011-1-1-1113−3−3300003−3−330000-22-221-1-111-1-113−3−333−3−333−3−333−3−330000-222-23−3−33−333−31-1-111-1-110000000000000000
χ732-2-22-2-222-12-22-2211-1-1-2-22-111-2-2221-1-111-1-11-1000011-1-1-111−333−30000−333−30000-22-221-1-111-1-11−333−3−333−3−333−3−333−300002-2-223−3−33−333−3-111-1-111-10000000000000000
χ742-2-22-2-222-12-22-2211-1-1-2-22-111-2-2221-1-111-1-11-1000011-1-1-111−333−30000−333−30000-22-221-1-111-1-11−333−3−333−3−333−3−333−30000-222-2−333−33−3−331-1-111-1-110000000000000000
χ752-2-2-222-22222-2-22-2-2-2-2-2-2-222222-222-2-22-222-220000-2-2-2-222200000000000000002-2-222-2-22-222-200000000000000000000000000000000000000000000000000002-200
χ762-2-2-222-22222-2-22-2-2-2-2-2-2-222222-222-2-22-222-220000-2-2-2-222200000000000000002-2-222-2-22-222-20000000000000000000000000000000000000000000000000000-2200
χ772-2-2-222-2222-222-2-2-2-2-2-2-2-222222-22-222-22-2-2220000-2-2-2-22220000000000000000-222-2-222-22-2-220000000000000000000000000000000000000000000000000000002-2
χ782-2-2-222-2222-222-2-2-2-2-2-2-2-222222-22-222-22-2-2220000-2-2-2-22220000000000000000-222-2-222-22-2-22000000000000000000000000000000000000000000000000000000-22
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
χ8044444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-411111112222222222222222-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ8144444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222144-4-41111111-2-2-2-2-2-2-2-2222222222222-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ8244444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222221-4-444111111122222222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000000000000000000000000000
χ83444-4-4-4-44-2444-4-4-2-22244-4-222-4-4-44-2-2-2-22222-20000-2-222-222000000000000000044-4-4-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ84444-4-4-4-44-24-4-444-2-22244-4-222-4-4-442222-2-2-2-2-20000-2-222-2220000000000000000-4-4442222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ85444-4-4-4-44-2-244-4-4-2-222-2-22-222222-2-2-2-2-222221000011-1-11-1-100002323−23−2300002323−23−23-2-2221111-1-1-1-1−3−3−3−33333−3−3−3−333330000000000000000000000000000000000000000
χ86444-4-4-4-44-2-244-4-4-2-222-2-22-222222-2-2-2-2-222221000011-1-11-1-10000−23−2323230000−23−232323-2-2221111-1-1-1-13333−3−3−3−33333−3−3−3−30000000000000000000000000000000000000000
χ87444-4-4-4-44-2-2-4-444-2-222-2-22-222222-22222-2-2-2-21000011-1-11-1-100002323−23−230000−23−23232322-2-2-1-1-1-11111−3−3−3−333333333−3−3−3−30000000000000000000000000000000000000000
χ88444-4-4-4-44-2-2-4-444-2-222-2-22-222222-22222-2-2-2-21000011-1-11-1-10000−23−23232300002323−23−2322-2-2-1-1-1-111113333−3−3−3−3−3−3−3−333330000000000000000000000000000000000000000
χ8944-44-44-4-44400004-4-444-44-4-44-44-4-400000000400004-4-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9044-44-44-4-44-200004-4-44-22-2-4-442-22200000000-20000-222-222-2000000000000−2i32i32i3−2i300000000000000000000−2i3−2i32i32i32i32i3−2i3−2i30000000000000000000000000000000000000000
χ9144-44-44-4-44-200004-4-44-22-2-4-442-22200000000-20000-222-222-20000000000002i3−2i3−2i32i3000000000000000000002i32i3−2i3−2i3−2i3−2i32i32i30000000000000000000000000000000000000000
χ9244-44-44-4-4-240000-222-24-4422-2-44-4-42323−23−23−23−232323-20000-222-222-2000000000000000000002323−23−23−23−23232300000000000000000000000000000000000000000000000000000000
χ9344-44-44-4-4-240000-222-24-4422-2-44-4-4−23−2323232323−23−23-20000-222-222-200000000000000000000−23−2323232323−23−2300000000000000000000000000000000000000000000000000000000
χ9444-44-44-4-4-2-20000-222-2-22-222-22-2222323−23−23−23−232323100001-1-11-1-11000000000000−2i32i32i3−2i30000−3−33333−3−33i3i−3i−3i−3i−3i3i3ii3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000000
χ9544-44-44-4-4-2-20000-222-2-22-222-22-2222323−23−23−23−232323100001-1-11-1-110000000000002i3−2i3−2i32i30000−3−33333−3−3−3i−3i3i3i3i3i−3i−3i−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000000
χ9644-44-44-4-4-2-20000-222-2-22-222-22-222−23−2323232323−23−23100001-1-11-1-11000000000000−2i32i32i3−2i3000033−3−3−3−333−3i−3i3i3i3i3i−3i−3ii3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000000
χ9744-44-44-4-4-2-20000-222-2-22-222-22-222−23−2323232323−23−23100001-1-11-1-110000000000002i3−2i3−2i32i3000033−3−3−3−3333i3i−3i−3i−3i−3i3i3i−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000000
χ9844-4-44-44-44-200004-44-4-222-44-4-22-2200000000-2004i−4i-22-222-22000000004i4i−4i−4i−2i2i−2i2i00000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ9944-4-44-44-44-200004-44-4-222-44-4-22-2200000000-200−4i4i-22-222-2200000000−4i−4i4i4i2i−2i2i−2i000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ10044-4-44-44-4-2-20000-22-22-2222-22-22-222323−23−232323−23−231004i−4i1-11-1-11-1−2i3−2i32i32i30000−2i−2i2i2i−2i2i−2i2i0000−3−333−3−333i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i0000000000000000000000000000000000000000
χ10144-4-44-44-4-2-20000-22-22-2222-22-22-222323−23−232323−23−23100−4i4i1-11-1-11-12i32i3−2i3−2i300002i2i−2i−2i2i−2i2i−2i0000−3−333−3−333−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii0000000000000000000000000000000000000000
χ10244-4-44-44-4-2-20000-22-22-2222-22-22-22−23−232323−23−2323231004i−4i1-11-1-11-12i32i3−2i3−2i30000−2i−2i2i2i−2i2i−2i2i000033−3−333−3−3−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i0000000000000000000000000000000000000000
χ10344-4-44-44-4-2-20000-22-22-2222-22-22-22−23−232323−23−232323100−4i4i1-11-1-11-1−2i3−2i32i32i300002i2i−2i−2i2i−2i2i−2i000033−3−333−3−3i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii0000000000000000000000000000000000000000
χ1044-4444-4-4-4440000-44-44-444-44-44-4-4-40000000040000-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4444-4-4-44-20000-44-442-2-2-44-4-222200000000-200002-22-22-220000−2i32i32i3−2i300000000000000000000−2i32i3−2i32i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000
χ1064-4444-4-4-44-20000-44-442-2-2-44-4-222200000000-200002-22-22-2200002i3−2i3−2i32i3000000000000000000002i3−2i32i3−2i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000
χ1074-4444-4-4-4-2400002-22-2-4442-224-4-4-423−2323−23−2323−2323-200002-22-22-220000000000000000000023−2323−23−2323−232300000000000000000000000000000000000000000000000000000000
χ1084-4444-4-4-4-2400002-22-2-4442-224-4-4-4−2323−232323−2323−23-200002-22-22-2200000000000000000000−2323−232323−2323−2300000000000000000000000000000000000000000000000000000000
χ1094-4444-4-4-4-2-200002-22-22-2-22-22-222223−2323−23−2323−232310000-11-11-11-10000−2i32i32i3−2i3000000000000−33−333−33−3i3−i3i3−i3−i3i3−i3i33i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000
χ1104-4444-4-4-4-2-200002-22-22-2-22-22-222223−2323−23−2323−232310000-11-11-11-100002i3−2i3−2i32i3000000000000−33−333−33−3−i3i3−i3i3i3−i3i3−i3−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000
χ1114-4444-4-4-4-2-200002-22-22-2-22-22-2222−2323−232323−2323−2310000-11-11-11-10000−2i32i32i3−2i30000000000003−33−3−33−33i3−i3i3−i3−i3i3−i3i3−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000
χ1124-4444-4-4-4-2-200002-22-22-2-22-22-2222−2323−232323−2323−2310000-11-11-11-100002i3−2i3−2i32i30000000000003−33−3−33−33−i3i3−i3i3i3−i3i3−i33i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000
χ1134-44-4-444-44-20000-444-42-22-4-442-2-2200000000-24i−4i002-2-2222-24i−4i4i−4i−2i2i−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ1144-44-4-444-44-20000-444-42-22-4-442-2-2200000000-2−4i4i002-2-2222-2−4i4i−4i4i2i−2i2i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ1154-44-4-444-4-2-200002-2-222-2222-22-2-2223−2323−2323−2323−2314i−4i00-111-1-1-11−2i2i−2i2i−2i2i−2i2i−2i32i3−2i32i300000000−33−33−33−33i−ii−ii−ii−ii3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000
χ1164-44-4-444-4-2-200002-2-222-2222-22-2-2223−2323−2323−2323−231−4i4i00-111-1-1-112i−2i2i−2i2i−2i2i−2i2i3−2i32i3−2i300000000−33−33−33−33−ii−ii−ii−ii−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000
χ1174-44-4-444-4-2-200002-2-222-2222-22-2-22−2323−2323−2323−232314i−4i00-111-1-1-11−2i2i−2i2i−2i2i−2i2i2i3−2i32i3−2i3000000003−33−33−33−3i−ii−ii−ii−i−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000
χ1184-44-4-444-4-2-200002-2-222-2222-22-2-22−2323−2323−2323−23231−4i4i00-111-1-1-112i−2i2i−2i2i−2i2i−2i−2i32i3−2i32i3000000003−33−33−33−3−ii−ii−ii−iii3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000
χ1194-4-44-4-4444-24-44-4-4-44422-24-4-422-2-24-4-444-4-44-2000022-2-2-2220000000000000000-22-22-222-2-222-200000000000000000000000000000000000000000000000000000000
χ1204-4-44-4-4444-2-44-44-4-44422-24-4-422-2-2-444-4-444-4-2000022-2-2-22200000000000000002-22-22-2-222-2-2200000000000000000000000000000000000000000000000000000000
χ1214-4-44-4-444-2-24-44-422-2-222-2-22222-2-2-222-2-222-210000-1-1111-1-123−23−23230000−232323−230000-22-221-1-111-1-11−333−3−333−33−3−333−3−330000000000000000000000000000000000000000
χ1224-4-44-4-444-2-24-44-422-2-222-2-22222-2-2-222-2-222-210000-1-1111-1-1−232323−23000023−23−23230000-22-221-1-111-1-113−3−333−3−33−333−3−333−30000000000000000000000000000000000000000
χ1234-4-44-4-444-2-2-44-4422-2-222-2-22222-2-22-2-222-2-2210000-1-1111-1-123−23−2323000023−23−232300002-22-2-111-1-111-1−333−3−333−3−333−3−333−30000000000000000000000000000000000000000
χ1244-4-44-4-444-2-2-44-4422-2-222-2-22222-2-22-2-222-2-2210000-1-1111-1-1−232323−230000−232323−2300002-22-2-111-1-111-13−3−333−3−333−3−333−3−330000000000000000000000000000000000000000
χ1254-4-4-444-444-24-4-44-4-4-4-4222444-2-22-24-4-44-444-4-200002222-2-2-20000000000000000-222-2-222-22-2-2200000000000000000000000000000000000000000000000000000000
χ1264-4-4-444-444-2-444-4-4-4-4-4222444-2-22-2-444-44-4-44-200002222-2-2-200000000000000002-2-222-2-22-222-200000000000000000000000000000000000000000000000000000000
χ1274-4-4-444-44-244-4-442222-4-4-4-2-2-244-44-222-22-2-22-200002222-2-2-200000000000000004-4-44-222-22-2-2200000000000000000000000000000000000000000000000000000000
χ1284-4-4-444-44-24-444-42222-4-4-4-2-2-244-442-2-22-222-2-200002222-2-2-20000000000000000-444-42-2-22-222-200000000000000000000000000000000000000000000000000000000
χ1294-4-4-444-44-2-24-4-442222222-2-2-2-2-22-2-222-22-2-2210000-1-1-1-11110000000000000000-222-21-1-11-111-13-3-33-333-3-333-33-3-330000000000000000000000000000000000000000
χ1304-4-4-444-44-2-24-4-442222222-2-2-2-2-22-2-222-22-2-2210000-1-1-1-11110000000000000000-222-21-1-11-111-1-333-33-3-333-3-33-333-30000000000000000000000000000000000000000
χ1314-4-4-444-44-2-2-444-42222222-2-2-2-2-22-22-2-22-222-210000-1-1-1-111100000000000000002-2-22-111-11-1-113-3-33-333-33-3-33-333-30000000000000000000000000000000000000000
χ1324-4-4-444-44-2-2-444-42222222-2-2-2-2-22-22-2-22-222-210000-1-1-1-111100000000000000002-2-22-111-11-1-11-333-33-3-33-333-33-3-330000000000000000000000000000000000000000

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