Finite Group Databasebeta

← Group #72287181

Character table — Group #72287181

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size111122222244444444444488888888888888881616161616161616161616161616161616161616161616161616161616161616161616163232323232323232
order1222444444888888888888161616161616161616161616161616164444888816161616161616161616161632323232323232323232323232323232248816161616
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ1011111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii
χ1111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii
χ1211111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i
χ1311111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ1411111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i
χ1511111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i
χ1611111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii
χ17111111-1-1-1-111-1-1iiii−i−i−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-1ii−i−i11-1-1ii−i−iζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-1ii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1i−iζ2−ζ2ζ6−ζ6
χ18111111-1-1-1-111-1-1iiii−i−i−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-1ii−i−i11-1-1ii−i−iζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-111−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11−ii−ζ2ζ2−ζ6ζ6
χ19111111-1-1-1-111-1-1iiii−i−i−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-1ii−i−i-1-111−i−iiiζ2−ζ2ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-1ii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11−ii−ζ2ζ2−ζ6ζ6
χ20111111-1-1-1-111-1-1iiii−i−i−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-1ii−i−i-1-111−i−iiiζ2−ζ2ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-111−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1i−iζ2−ζ2ζ6−ζ6
χ21111111-1-1-1-111-1-1iiii−i−i−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-1ii−i−i11-1-1ii−i−i−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-1ii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1i−i−ζ2ζ2−ζ6ζ6
χ22111111-1-1-1-111-1-1iiii−i−i−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-1ii−i−i11-1-1ii−i−i−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-111−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11−iiζ2−ζ2ζ6−ζ6
χ23111111-1-1-1-111-1-1iiii−i−i−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-1ii−i−i-1-111−i−iii−ζ2ζ2−ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-1ii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11−iiζ2−ζ2ζ6−ζ6
χ24111111-1-1-1-111-1-1iiii−i−i−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-1ii−i−i-1-111−i−iii−ζ2ζ2−ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-111−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1i−i−ζ2ζ2−ζ6ζ6
χ25111111-1-1-1-111-1-1−i−i−i−iiiiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-1−i−iii11-1-1−i−iiiζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-1−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1−iiζ6−ζ6ζ2−ζ2
χ26111111-1-1-1-111-1-1−i−i−i−iiiiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-1−i−iii11-1-1−i−iiiζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-111ii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11i−i−ζ6ζ6−ζ2ζ2
χ27111111-1-1-1-111-1-1−i−i−i−iiiiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-1−i−iii-1-111ii−i−iζ6−ζ6ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-1−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11i−i−ζ6ζ6−ζ2ζ2
χ28111111-1-1-1-111-1-1−i−i−i−iiiiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-1−i−iii-1-111ii−i−iζ6−ζ6ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-111ii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1−iiζ6−ζ6ζ2−ζ2
χ29111111-1-1-1-111-1-1−i−i−i−iiiii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-1−i−iii11-1-1−i−iii−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-1−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1−ii−ζ6ζ6−ζ2ζ2
χ30111111-1-1-1-111-1-1−i−i−i−iiiii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-1−i−iii11-1-1−i−iii−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-111ii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11i−iζ6−ζ6ζ2−ζ2
χ31111111-1-1-1-111-1-1−i−i−i−iiiii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-1−i−iii-1-111ii−i−i−ζ6ζ6−ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-1−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11i−iζ6−ζ6ζ2−ζ2
χ32111111-1-1-1-111-1-1−i−i−i−iiiii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-1−i−iii-1-111ii−i−i−ζ6ζ6−ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-111ii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1−ii−ζ6ζ6−ζ2ζ2
χ33222222222222222222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000
χ342222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000000000000000000000000000
χ3522222222222222-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-2-2-2222200000000−2i−2i2i2i00000000000000000000000000000000
χ3622222222222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-2-2-22222000000002i2i−2i−2i00000000000000000000000000000000
χ37222222-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6-2-222−2i−2i2i2i00000000−2ζ22ζ2−2ζ62ζ600000000000000000000000000000000
χ38222222-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ6-2-222−2i−2i2i2i000000002ζ2−2ζ22ζ6−2ζ600000000000000000000000000000000
χ39222222-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i2ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ2-2-2222i2i−2i−2i00000000−2ζ62ζ6−2ζ22ζ200000000000000000000000000000000
χ40222222-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ2-2-2222i2i−2i−2i000000002ζ6−2ζ62ζ2−2ζ200000000000000000000000000000000
χ412-22-22-22i−2i2i−2i2-22i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6000000002-22i−2i2ζ2−2ζ22ζ6−2ζ60000000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ7000000000000000000000000
χ422-22-22-22i−2i2i−2i2-22i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6000000002-22i−2i2ζ2−2ζ22ζ6−2ζ6000000000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ7000000000000000000000000
χ432-22-22-22i−2i2i−2i2-22i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ600000000-22−2i2i−2ζ22ζ2−2ζ62ζ62-22i−2i2ζ2−2ζ22ζ6−2ζ6000000000000000000000000000000000000
χ442-22-22-22i−2i2i−2i2-22i−2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ600000000-22−2i2i−2ζ22ζ2−2ζ62ζ6-22−2i2i−2ζ22ζ2−2ζ62ζ6000000000000000000000000000000000000
χ452-22-22-22i−2i2i−2i2-22i−2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ6000000002-22i−2i−2ζ22ζ2−2ζ62ζ60000000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ3000000000000000000000000
χ462-22-22-22i−2i2i−2i2-22i−2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ6000000002-22i−2i−2ζ22ζ2−2ζ62ζ6000000000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ3000000000000000000000000
χ472-22-22-22i−2i2i−2i2-22i−2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ600000000-22−2i2i2ζ2−2ζ22ζ6−2ζ62-22i−2i−2ζ22ζ2−2ζ62ζ6000000000000000000000000000000000000
χ482-22-22-22i−2i2i−2i2-22i−2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ600000000-22−2i2i2ζ2−2ζ22ζ6−2ζ6-22−2i2i2ζ2−2ζ22ζ6−2ζ6000000000000000000000000000000000000
χ492-22-22-22i−2i2i−2i-22−2i2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ62ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ700000000000000000000000000002−2i2−i21+i−1−i1−i−1+iζ3−ζ7−ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ+ζ5−ζ−ζ5ζ−ζ5−ζ+ζ500000000
χ502-22-22-22i−2i2i−2i-22−2i2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ62ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ70000000000000000000000000000−22−i2i2−1−i1+i−1+i1−i−ζ3+ζ7ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ−ζ5ζ+ζ5−ζ+ζ5ζ−ζ500000000
χ512-22-22-22i−2i2i−2i-22−2i2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ6−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ700000000000000000000000000002−2i2−i21+i−1−i1−i−1+i−ζ3+ζ7ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ−ζ5ζ+ζ5−ζ+ζ5ζ−ζ500000000
χ522-22-22-22i−2i2i−2i-22−2i2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ6−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ70000000000000000000000000000−22−i2i2−1−i1+i−1+i1−iζ3−ζ7−ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ+ζ5−ζ−ζ5ζ−ζ5−ζ+ζ500000000
χ532-22-22-22i−2i2i−2i-22−2i2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ62ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ300000000000000000000000000002−2i2−i2−1−i1+i−1+i1−iζ3+ζ7−ζ3−ζ7−ζ3+ζ7ζ3−ζ7ζ−ζ5−ζ+ζ5−ζ−ζ5ζ+ζ500000000
χ542-22-22-22i−2i2i−2i-22−2i2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ62ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ30000000000000000000000000000−22−i2i21+i−1−i1−i−1+i−ζ3−ζ7ζ3+ζ7ζ3−ζ7−ζ3+ζ7−ζ+ζ5ζ−ζ5ζ+ζ5−ζ−ζ500000000
χ552-22-22-22i−2i2i−2i-22−2i2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ6−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ300000000000000000000000000002−2i2−i2−1−i1+i−1+i1−i−ζ3−ζ7ζ3+ζ7ζ3−ζ7−ζ3+ζ7−ζ+ζ5ζ−ζ5ζ+ζ5−ζ−ζ500000000
χ562-22-22-22i−2i2i−2i-22−2i2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ6−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ30000000000000000000000000000−22−i2i21+i−1−i1−i−1+iζ3+ζ7−ζ3−ζ7−ζ3+ζ7ζ3−ζ7ζ−ζ5−ζ+ζ5−ζ−ζ5ζ+ζ500000000
χ572-22-22-2−2i2i−2i2i2-2−2i2i2ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ2000000002-2−2i2i2ζ6−2ζ62ζ2−2ζ20000000000002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ5000000000000000000000000
χ582-22-22-2−2i2i−2i2i2-2−2i2i2ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ2000000002-2−2i2i2ζ6−2ζ62ζ2−2ζ2000000000000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ5000000000000000000000000
χ592-22-22-2−2i2i−2i2i2-2−2i2i2ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ200000000-222i−2i−2ζ62ζ6−2ζ22ζ22-2−2i2i2ζ6−2ζ62ζ2−2ζ2000000000000000000000000000000000000
χ602-22-22-2−2i2i−2i2i2-2−2i2i2ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ200000000-222i−2i−2ζ62ζ6−2ζ22ζ2-222i−2i−2ζ62ζ6−2ζ22ζ2000000000000000000000000000000000000
χ612-22-22-2−2i2i−2i2i2-2−2i2i−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ2000000002-2−2i2i−2ζ62ζ6−2ζ22ζ20000000000002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ000000000000000000000000
χ622-22-22-2−2i2i−2i2i2-2−2i2i−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ2000000002-2−2i2i−2ζ62ζ6−2ζ22ζ2000000000000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ000000000000000000000000
χ632-22-22-2−2i2i−2i2i2-2−2i2i−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ200000000-222i−2i2ζ6−2ζ62ζ2−2ζ22-2−2i2i−2ζ62ζ6−2ζ22ζ2000000000000000000000000000000000000
χ642-22-22-2−2i2i−2i2i2-2−2i2i−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ200000000-222i−2i2ζ6−2ζ62ζ2−2ζ2-222i−2i2ζ6−2ζ62ζ2−2ζ2000000000000000000000000000000000000
χ652-22-22-2−2i2i−2i2i-222i−2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ22ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ500000000000000000000000000002−2−i2i2−1+i1−i−1−i1+iζ+ζ5−ζ−ζ5ζ−ζ5−ζ+ζ5−ζ3+ζ7ζ3−ζ7−ζ3−ζ7ζ3+ζ700000000
χ662-22-22-2−2i2i−2i2i-222i−2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ22ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ50000000000000000000000000000−22i2−i21−i−1+i1+i−1−i−ζ−ζ5ζ+ζ5−ζ+ζ5ζ−ζ5ζ3−ζ7−ζ3+ζ7ζ3+ζ7−ζ3−ζ700000000
χ672-22-22-2−2i2i−2i2i-222i−2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ2−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ500000000000000000000000000002−2−i2i2−1+i1−i−1−i1+i−ζ−ζ5ζ+ζ5−ζ+ζ5ζ−ζ5ζ3−ζ7−ζ3+ζ7ζ3+ζ7−ζ3−ζ700000000
χ682-22-22-2−2i2i−2i2i-222i−2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ2−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ50000000000000000000000000000−22i2−i21−i−1+i1+i−1−iζ+ζ5−ζ−ζ5ζ−ζ5−ζ+ζ5−ζ3+ζ7ζ3−ζ7−ζ3−ζ7ζ3+ζ700000000
χ692-22-22-2−2i2i−2i2i-222i−2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ22ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ00000000000000000000000000002−2−i2i21−i−1+i1+i−1−i−ζ+ζ5ζ−ζ5ζ+ζ5−ζ−ζ5ζ3+ζ7−ζ3−ζ7−ζ3+ζ7ζ3−ζ700000000
χ702-22-22-2−2i2i−2i2i-222i−2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ22ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ0000000000000000000000000000−22i2−i2−1+i1−i−1−i1+iζ−ζ5−ζ+ζ5−ζ−ζ5ζ+ζ5−ζ3−ζ7ζ3+ζ7ζ3−ζ7−ζ3+ζ700000000
χ712-22-22-2−2i2i−2i2i-222i−2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ2−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ00000000000000000000000000002−2−i2i21−i−1+i1+i−1−iζ−ζ5−ζ+ζ5−ζ−ζ5ζ+ζ5−ζ3−ζ7ζ3+ζ7ζ3−ζ7−ζ3+ζ700000000
χ722-22-22-2−2i2i−2i2i-222i−2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ2−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ0000000000000000000000000000−22i2−i2−1+i1−i−1−i1+i−ζ+ζ5ζ−ζ5ζ+ζ5−ζ−ζ5ζ3+ζ7−ζ3−ζ7−ζ3+ζ7ζ3−ζ700000000
χ734444444444-4-4-4-44-4-444-4-44000000000000000000000000000000000000000000000000000000000000
χ744444444444-4-4-4-4-444-4-444-4000000000000000000000000000000000000000000000000000000000000
χ75444444-4-4-4-4-4-4444i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ76444444-4-4-4-4-4-444−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ778888-8-888-8-8000000000000000000000000000000000000000000000000000000000000000000000000
χ788888-8-8-8-888000000000000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-888i−8i−8i8i000000000000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-88−8i8i8i−8i000000000000000000000000000000000000000000000000000000000000000000000000
χ811616-16-16000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8216-16-1616000000000000000000000000000000000000000000000000000000000000000000000000000000

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