Finite Group Databasebeta

← Group #134682

Character table — Group #134682

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order1222444422448888888888888888161616161616161616161616161616162244444444448888888816161616161616161616161616161616161616161616161616161616161616161616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111111111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111111111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−iii−i−iii
χ12111111111111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iiiii−i−iii−i−i
χ13111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iii
χ14111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ171-1-1111-1-11-1-11ii−i−i11-1-111-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-1ii−i−iii−i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ζ2−ζ2ζ6−ζ6ζ6−ζ6ζ2−ζ2ζ2−ζ2ζ6−ζ6ζ6−ζ6ζ2−ζ2
χ181-1-1111-1-11-1-11ii−i−i11-1-111-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-1ii−i−iii−i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1−ζ2ζ2−ζ6ζ6−ζ6ζ6−ζ2ζ2−ζ2ζ2−ζ6ζ6−ζ6ζ6−ζ2ζ2
χ191-1-1111-1-11-1-11ii−i−i11-1-111-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11ii−i−i−i−iii−i−iii-1-1111111-1-1-1-1−i−i−i−iiiii-1-1-1-11111ζ2−ζ2ζ6−ζ6ζ6−ζ6ζ2−ζ2−ζ2ζ2−ζ6ζ6−ζ6ζ6−ζ2ζ2
χ201-1-1111-1-11-1-11ii−i−i11-1-111-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11ii−i−i−i−iii−i−iii-1-1111111-1-1-1-1−i−i−i−iiiii-1-1-1-11111−ζ2ζ2−ζ6ζ6−ζ6ζ6−ζ2ζ2ζ2−ζ2ζ6−ζ6ζ6−ζ6ζ2−ζ2
χ211-1-1111-1-11-1-11ii−i−i11-1-111-1-1ii−i−i−i−i−i−i−i−i−i−iiiiiiiii1-11-1ii−i−iii−i−iii−i−i11-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111ζ2−ζ2ζ6−ζ6−ζ6ζ6−ζ2ζ2ζ2−ζ2ζ6−ζ6−ζ6ζ6−ζ2ζ2
χ221-1-1111-1-11-1-11ii−i−i11-1-111-1-1ii−i−i−i−i−i−i−i−i−i−iiiiiiiii1-11-1ii−i−iii−i−iii−i−i11-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−ζ2ζ2−ζ6ζ6ζ6−ζ6ζ2−ζ2−ζ2ζ2−ζ6ζ6ζ6−ζ6ζ2−ζ2
χ231-1-1111-1-11-1-11ii−i−i11-1-111-1-1ii−i−i−i−i−i−i−i−i−i−iiiiiiiii-11-11ii−i−i−i−iii−i−iii-1-111-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1ζ2−ζ2ζ6−ζ6−ζ6ζ6−ζ2ζ2−ζ2ζ2−ζ6ζ6ζ6−ζ6ζ2−ζ2
χ241-1-1111-1-11-1-11ii−i−i11-1-111-1-1ii−i−i−i−i−i−i−i−i−i−iiiiiiiii-11-11ii−i−i−i−iii−i−iii-1-111-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−ζ2ζ2−ζ6ζ6ζ6−ζ6ζ2−ζ2ζ2−ζ2ζ6−ζ6−ζ6ζ6−ζ2ζ2
χ251-1-1111-1-11-1-11−i−iii11-1-111-1-1−i−iiiiiiiiiii−i−i−i−i−i−i−i−i1-11-1−i−iii−i−iii−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111ζ6−ζ6ζ2−ζ2−ζ2ζ2−ζ6ζ6ζ6−ζ6ζ2−ζ2−ζ2ζ2−ζ6ζ6
χ261-1-1111-1-11-1-11−i−iii11-1-111-1-1−i−iiiiiiiiiii−i−i−i−i−i−i−i−i1-11-1−i−iii−i−iii−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−ζ6ζ6−ζ2ζ2ζ2−ζ2ζ6−ζ6−ζ6ζ6−ζ2ζ2ζ2−ζ2ζ6−ζ6
χ271-1-1111-1-11-1-11−i−iii11-1-111-1-1−i−iiiiiiiiiii−i−i−i−i−i−i−i−i-11-11−i−iiiii−i−iii−i−i-1-111-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1ζ6−ζ6ζ2−ζ2−ζ2ζ2−ζ6ζ6−ζ6ζ6−ζ2ζ2ζ2−ζ2ζ6−ζ6
χ281-1-1111-1-11-1-11−i−iii11-1-111-1-1−i−iiiiiiiiiii−i−i−i−i−i−i−i−i-11-11−i−iiiii−i−iii−i−i-1-111-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1−ζ6ζ6−ζ2ζ2ζ2−ζ2ζ6−ζ6ζ6−ζ6ζ2−ζ2−ζ2ζ2−ζ6ζ6
χ291-1-1111-1-11-1-11−i−iii11-1-111-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−iii−i−iii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1ζ6−ζ6ζ2−ζ2ζ2−ζ2ζ6−ζ6ζ6−ζ6ζ2−ζ2ζ2−ζ2ζ6−ζ6
χ301-1-1111-1-11-1-11−i−iii11-1-111-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−iii−i−iii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−ζ6ζ6−ζ2ζ2−ζ2ζ2−ζ6ζ6−ζ6ζ6−ζ2ζ2−ζ2ζ2−ζ6ζ6
χ311-1-1111-1-11-1-11−i−iii11-1-111-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii-11-11−i−iiiii−i−iii−i−i-1-1111111-1-1-1-1iiii−i−i−i−i-1-1-1-11111ζ6−ζ6ζ2−ζ2ζ2−ζ2ζ6−ζ6−ζ6ζ6−ζ2ζ2−ζ2ζ2−ζ6ζ6
χ321-1-1111-1-11-1-11−i−iii11-1-111-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii-11-11−i−iiiii−i−iii−i−i-1-1111111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−ζ6ζ6−ζ2ζ2−ζ2ζ2−ζ6ζ6ζ6−ζ6ζ2−ζ2ζ2−ζ2ζ6−ζ6
χ332222222222222222-2-2-2-2-2-2-2-2222200000000000000002222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ342222222222222222-2-2-2-2-2-2-2-222220000000000000000-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222-2-2-2-2222222220000000000000000000000000000000000000000
χ3722222222-2-2-2-22-22-2000000002-22-22222−2−2−2−22222−2−2−2−2000000002i−2i2i−2i00002i−2i2i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ3822222222-2-2-2-22-22-2000000002-22-22222−2−2−2−22222−2−2−2−200000000−2i2i−2i2i0000−2i2i−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ3922222222-2-2-2-22-22-2000000002-22-2−2−2−2−22222−2−2−2−22222000000002i−2i2i−2i00002i−2i2i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ4022222222-2-2-2-22-22-2000000002-22-2−2−2−2−22222−2−2−2−2222200000000−2i2i−2i2i0000−2i2i−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ4122222222-2-2-2-2-22-2200000000-22-222222−2−2−2−22222−2−2−2−2000000002i−2i2i−2i0000−2i2i−2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ4222222222-2-2-2-2-22-2200000000-22-222222−2−2−2−22222−2−2−2−200000000−2i2i−2i2i00002i−2i2i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ4322222222-2-2-2-2-22-2200000000-22-22−2−2−2−22222−2−2−2−22222000000002i−2i2i−2i0000−2i2i−2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ4422222222-2-2-2-2-22-2200000000-22-22−2−2−2−22222−2−2−2−2222200000000−2i2i−2i2i00002i−2i2i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ452222-2-2-2-222-2-22i2i−2i−2i00000000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i222-2-2000000002i−2i2i−2i00002−22−22−22−2i2−i2i2−i2i2−i2i2−i22−22−22−22−20000000000000000
χ462222-2-2-2-222-2-22i2i−2i−2i00000000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-2-22200000000−2i2i−2i2i00002−22−22−22−2−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000000000000
χ472222-2-2-2-222-2-22i2i−2i−2i00000000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222-2-2000000002i−2i2i−2i0000−22−22−22−22−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000000000000
χ482222-2-2-2-222-2-22i2i−2i−2i00000000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-2-22200000000−2i2i−2i2i0000−22−22−22−22i2−i2i2−i2i2−i2i2−i22−22−22−22−20000000000000000
χ492222-2-2-2-222-2-2−2i−2i2i2i000000002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i222-2-200000000−2i2i−2i2i0000−22−22−22−22i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000000000
χ502222-2-2-2-222-2-2−2i−2i2i2i000000002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-2-222000000002i−2i2i−2i0000−22−22−22−22−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000000000
χ512222-2-2-2-222-2-2−2i−2i2i2i000000002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222-2-200000000−2i2i−2i2i00002−22−22−22−2−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000000000
χ522222-2-2-2-222-2-2−2i−2i2i2i000000002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-2-222000000002i−2i2i−2i00002−22−22−22−2i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000000000
χ532222-2-2-2-2-2-2222i−2i−2i2i22-2-2-2-222−2i2i2i−2i000000000000000000002i−2i2i−2i000000000000000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000
χ542222-2-2-2-2-2-2222i−2i−2i2i22-2-2-2-222−2i2i2i−2i000000000000000000002i−2i2i−2i00000000000000000000-222-2-222-22i−2i−2i2i2i−2i−2i2i0000000000000000
χ552222-2-2-2-2-2-2222i−2i−2i2i-2-22222-2-2−2i2i2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000−2i2i−2i2i0000000000002-2-222-2-2200000000000000000000000000000000
χ562222-2-2-2-2-2-2222i−2i−2i2i-2-22222-2-2−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000−2i2i−2i2i000000000000-222-2-222-200000000000000000000000000000000
χ572222-2-2-2-2-2-222−2i2i2i−2i22-2-2-2-2222i−2i−2i2i00000000000000000000−2i2i−2i2i000000000000000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i0000000000000000
χ582222-2-2-2-2-2-222−2i2i2i−2i22-2-2-2-2222i−2i−2i2i00000000000000000000−2i2i−2i2i00000000000000000000-222-2-222-2−2i2i2i−2i−2i2i2i−2i0000000000000000
χ592222-2-2-2-2-2-222−2i2i2i−2i-2-22222-2-22i−2i−2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00002i−2i2i−2i000000000000-222-2-222-200000000000000000000000000000000
χ602222-2-2-2-2-2-222−2i2i2i−2i-2-22222-2-22i−2i−2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00002i−2i2i−2i0000000000002-2-222-2-2200000000000000000000000000000000
χ612-2-2222-2-22-2-222i2i−2i−2i-2-222-2-2222i2i−2i−2i00000000000000002-22-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-2-2220000000000000000000000000000000000000000
χ622-2-2222-2-22-2-222i2i−2i−2i-2-222-2-2222i2i−2i−2i0000000000000000-22-22−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i22-2-20000000000000000000000000000000000000000
χ632-2-2222-2-22-2-22−2i−2i2i2i-2-222-2-222−2i−2i2i2i00000000000000002-22-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-2-2220000000000000000000000000000000000000000
χ642-2-2222-2-22-2-22−2i−2i2i2i-2-222-2-222−2i−2i2i2i0000000000000000-22-222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i22-2-20000000000000000000000000000000000000000
χ652-2-2222-2-2-222-22i−2i−2i2i000000002i−2i−2i2ii2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000002-2-220000−2i2i2i−2i22−2−2−2−22222−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000
χ662-2-2222-2-2-222-22i−2i−2i2i000000002i−2i−2i2ii2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200000000-222-200002i−2i−2i2i22−2−2−2−222−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ672-2-2222-2-2-222-22i−2i−2i2i000000002i−2i−2i2i−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000002-2-220000−2i2i2i−2i−2−22222−2−2−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ682-2-2222-2-2-222-22i−2i−2i2i000000002i−2i−2i2i−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200000000-222-200002i−2i−2i2i−2−22222−2−222−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000
χ692-2-2222-2-2-222-2−2i2i2i−2i00000000−2i2i2i−2ii2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000002-2-2200002i−2i−2i2i−2−22222−2−2−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ702-2-2222-2-2-222-2−2i2i2i−2i00000000−2i2i2i−2ii2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200000000-222-20000−2i2i2i−2i−2−22222−2−222−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000
χ712-2-2222-2-2-222-2−2i2i2i−2i00000000−2i2i2i−2i−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000002-2-2200002i−2i−2i2i22−2−2−2−22222−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000
χ722-2-2222-2-2-222-2−2i2i2i−2i00000000−2i2i2i−2i−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200000000-222-20000−2i2i2i−2i22−2−2−2−222−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ732-2-22-2-2222-22-2222200000000-2-2-2-222−2−222−2−2−2−222−2−2222-2-22000000002-2-2200002−22−2−22−222−22−2−22−222−22−2−22−220000000000000000
χ742-2-22-2-2222-22-2222200000000-2-2-2-222−2−222−2−2−2−222−2−222-222-200000000-222-200002−22−2−22−22−22−222−22−2−22−222−22−20000000000000000
χ752-2-22-2-2222-22-2222200000000-2-2-2-2−2−222−2−22222−2−222−2−22-2-22000000002-2-220000−22−222−22−2−22−222−22−2−22−222−22−20000000000000000
χ762-2-22-2-2222-22-2222200000000-2-2-2-2−2−222−2−22222−2−222−2−2-222-200000000-222-20000−22−222−22−22−22−2−22−222−22−2−22−220000000000000000
χ772-2-22-2-2222-22-2-2-2-2-200000000222222−2−222−2−2−2−222−2−2222-2-2200000000-222-20000−22−222−22−22−22−2−22−22−22−222−22−20000000000000000
χ782-2-22-2-2222-22-2-2-2-2-200000000222222−2−222−2−2−2−222−2−222-222-2000000002-2-220000−22−222−22−2−22−222−22−22−22−2−22−220000000000000000
χ792-2-22-2-2222-22-2-2-2-2-2000000002222−2−222−2−22222−2−222−2−22-2-2200000000-222-200002−22−2−22−22−22−222−22−22−22−2−22−220000000000000000
χ802-2-22-2-2222-22-2-2-2-2-2000000002222−2−222−2−22222−2−222−2−2-222-2000000002-2-2200002−22−2−22−222−22−2−22−22−22−222−22−20000000000000000
χ812-2-22-2-222-22-222-22-22222-2-2-2-2-22-22000000000000000000002-2-22000000000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i0000000000000000
χ822-2-22-2-222-22-222-22-22222-2-2-2-2-22-22000000000000000000002-2-2200000000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i0000000000000000
χ832-2-22-2-222-22-222-22-2-2-2-2-22222-22-2222-2-2-2-222-2-22222-2-20000-222-20000000000002-2-22-222-200000000000000000000000000000000
χ842-2-22-2-222-22-222-22-2-2-2-2-22222-22-22-2-22222-2-222-2-2-2-2220000-222-2000000000000-222-22-2-2200000000000000000000000000000000
χ852-2-22-2-222-22-22-22-222222-2-2-2-22-22-200000000000000000000-222-2000000000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000
χ862-2-22-2-222-22-22-22-222222-2-2-2-22-22-200000000000000000000-222-200000000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000
χ872-2-22-2-222-22-22-22-22-2-2-2-222222-22-222-2-2-2-222-2-22222-2-200002-2-22000000000000-222-22-2-2200000000000000000000000000000000
χ882-2-22-2-222-22-22-22-22-2-2-2-222222-22-2-2-22222-2-222-2-2-2-22200002-2-220000000000002-2-22-222-200000000000000000000000000000000
χ8944-4-44i−4i4i−4i000000002i2−2i222−2222−222i2−2i200002ζ+2ζ3−2ζ−2ζ32ζ5+2ζ7−2ζ5−2ζ72ζ−2ζ3−2ζ+2ζ32ζ5−2ζ7−2ζ5+2ζ72ζ+2ζ3−2ζ−2ζ32ζ5+2ζ7−2ζ5−2ζ72ζ−2ζ3−2ζ+2ζ32ζ5−2ζ7−2ζ5+2ζ7000000000000000000000000000000000000000000000000000000000000
χ9044-4-44i−4i4i−4i000000002i2−2i222−2222−222i2−2i20000−2ζ−2ζ32ζ+2ζ3−2ζ5−2ζ72ζ5+2ζ7−2ζ+2ζ32ζ−2ζ3−2ζ5+2ζ72ζ5−2ζ7−2ζ−2ζ32ζ+2ζ3−2ζ5−2ζ72ζ5+2ζ7−2ζ+2ζ32ζ−2ζ3−2ζ5+2ζ72ζ5−2ζ7000000000000000000000000000000000000000000000000000000000000
χ9144-4-44i−4i4i−4i00000000−2i22i2−2222−2222−2i22i200002ζ5−2ζ7−2ζ5+2ζ7−2ζ+2ζ32ζ−2ζ32ζ5+2ζ7−2ζ5−2ζ7−2ζ−2ζ32ζ+2ζ32ζ5−2ζ7−2ζ5+2ζ7−2ζ+2ζ32ζ−2ζ32ζ5+2ζ7−2ζ5−2ζ7−2ζ−2ζ32ζ+2ζ3000000000000000000000000000000000000000000000000000000000000
χ9244-4-44i−4i4i−4i00000000−2i22i2−2222−2222−2i22i20000−2ζ5+2ζ72ζ5−2ζ72ζ−2ζ3−2ζ+2ζ3−2ζ5−2ζ72ζ5+2ζ72ζ+2ζ3−2ζ−2ζ3−2ζ5+2ζ72ζ5−2ζ72ζ−2ζ3−2ζ+2ζ3−2ζ5−2ζ72ζ5+2ζ72ζ+2ζ3−2ζ−2ζ3000000000000000000000000000000000000000000000000000000000000
χ9344-4-4−4i4i−4i4i000000002i2−2i2−2222−22222i2−2i200002ζ−2ζ3−2ζ+2ζ3−2ζ5+2ζ72ζ5−2ζ7−2ζ−2ζ32ζ+2ζ32ζ5+2ζ7−2ζ5−2ζ72ζ−2ζ3−2ζ+2ζ3−2ζ5+2ζ72ζ5−2ζ7−2ζ−2ζ32ζ+2ζ32ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000000000000000000000000000000000000000
χ9444-4-4−4i4i−4i4i000000002i2−2i2−2222−22222i2−2i20000−2ζ+2ζ32ζ−2ζ32ζ5−2ζ7−2ζ5+2ζ72ζ+2ζ3−2ζ−2ζ3−2ζ5−2ζ72ζ5+2ζ7−2ζ+2ζ32ζ−2ζ32ζ5−2ζ7−2ζ5+2ζ72ζ+2ζ3−2ζ−2ζ3−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000000000000000000000000000000000000000
χ9544-4-4−4i4i−4i4i00000000−2i22i222−2222−22−2i22i200002ζ5+2ζ7−2ζ5−2ζ72ζ+2ζ3−2ζ−2ζ3−2ζ5+2ζ72ζ5−2ζ7−2ζ+2ζ32ζ−2ζ32ζ5+2ζ7−2ζ5−2ζ72ζ+2ζ3−2ζ−2ζ3−2ζ5+2ζ72ζ5−2ζ7−2ζ+2ζ32ζ−2ζ3000000000000000000000000000000000000000000000000000000000000
χ9644-4-4−4i4i−4i4i00000000−2i22i222−2222−22−2i22i20000−2ζ5−2ζ72ζ5+2ζ7−2ζ−2ζ32ζ+2ζ32ζ5−2ζ7−2ζ5+2ζ72ζ−2ζ3−2ζ+2ζ3−2ζ5−2ζ72ζ5+2ζ7−2ζ−2ζ32ζ+2ζ32ζ5−2ζ7−2ζ5+2ζ72ζ−2ζ3−2ζ+2ζ3000000000000000000000000000000000000000000000000000000000000
χ974-44-44i−4i−4i4i000000002i2−2i2−222222−22−2i22i200002ζ5+2ζ7−2ζ5−2ζ7−2ζ−2ζ32ζ+2ζ32ζ5−2ζ7−2ζ5+2ζ7−2ζ+2ζ32ζ−2ζ3−2ζ5−2ζ72ζ5+2ζ72ζ+2ζ3−2ζ−2ζ3−2ζ5+2ζ72ζ5−2ζ72ζ−2ζ3−2ζ+2ζ3000000000000000000000000000000000000000000000000000000000000
χ984-44-44i−4i−4i4i000000002i2−2i2−222222−22−2i22i20000−2ζ5−2ζ72ζ5+2ζ72ζ+2ζ3−2ζ−2ζ3−2ζ5+2ζ72ζ5−2ζ72ζ−2ζ3−2ζ+2ζ32ζ5+2ζ7−2ζ5−2ζ7−2ζ−2ζ32ζ+2ζ32ζ5−2ζ7−2ζ5+2ζ7−2ζ+2ζ32ζ−2ζ3000000000000000000000000000000000000000000000000000000000000
χ994-44-44i−4i−4i4i00000000−2i22i222−22−22222i2−2i200002ζ−2ζ3−2ζ+2ζ32ζ5−2ζ7−2ζ5+2ζ72ζ+2ζ3−2ζ−2ζ32ζ5+2ζ7−2ζ5−2ζ7−2ζ+2ζ32ζ−2ζ3−2ζ5+2ζ72ζ5−2ζ7−2ζ−2ζ32ζ+2ζ3−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000000000000000000000000000000000000000
χ1004-44-44i−4i−4i4i00000000−2i22i222−22−22222i2−2i20000−2ζ+2ζ32ζ−2ζ3−2ζ5+2ζ72ζ5−2ζ7−2ζ−2ζ32ζ+2ζ3−2ζ5−2ζ72ζ5+2ζ72ζ−2ζ3−2ζ+2ζ32ζ5−2ζ7−2ζ5+2ζ72ζ+2ζ3−2ζ−2ζ32ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000000000000000000000000000000000000000
χ1014-44-4−4i4i4i−4i000000002i2−2i222−22−2222−2i22i200002ζ5−2ζ7−2ζ5+2ζ72ζ−2ζ3−2ζ+2ζ3−2ζ5−2ζ72ζ5+2ζ7−2ζ−2ζ32ζ+2ζ3−2ζ5+2ζ72ζ5−2ζ7−2ζ+2ζ32ζ−2ζ32ζ5+2ζ7−2ζ5−2ζ72ζ+2ζ3−2ζ−2ζ3000000000000000000000000000000000000000000000000000000000000
χ1024-44-4−4i4i4i−4i000000002i2−2i222−22−2222−2i22i20000−2ζ5+2ζ72ζ5−2ζ7−2ζ+2ζ32ζ−2ζ32ζ5+2ζ7−2ζ5−2ζ72ζ+2ζ3−2ζ−2ζ32ζ5−2ζ7−2ζ5+2ζ72ζ−2ζ3−2ζ+2ζ3−2ζ5−2ζ72ζ5+2ζ7−2ζ−2ζ32ζ+2ζ3000000000000000000000000000000000000000000000000000000000000
χ1034-44-4−4i4i4i−4i00000000−2i22i2−222222−222i2−2i200002ζ+2ζ3−2ζ−2ζ3−2ζ5−2ζ72ζ5+2ζ7−2ζ+2ζ32ζ−2ζ32ζ5−2ζ7−2ζ5+2ζ7−2ζ−2ζ32ζ+2ζ32ζ5+2ζ7−2ζ5−2ζ72ζ−2ζ3−2ζ+2ζ3−2ζ5+2ζ72ζ5−2ζ7000000000000000000000000000000000000000000000000000000000000
χ1044-44-4−4i4i4i−4i00000000−2i22i2−222222−222i2−2i20000−2ζ−2ζ32ζ+2ζ32ζ5+2ζ7−2ζ5−2ζ72ζ−2ζ3−2ζ+2ζ3−2ζ5+2ζ72ζ5−2ζ72ζ+2ζ3−2ζ−2ζ3−2ζ5−2ζ72ζ5+2ζ7−2ζ+2ζ32ζ−2ζ32ζ5−2ζ7−2ζ5+2ζ7000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.