Finite Group Databasebeta

← Group #5301

Character table — Group #5301

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222222222224444444411111111222222222222444444441111111122222222222244444444
order12224444224488888888444444443666121212126612122424242424242424121212121212121236661212121266121224242424242424241212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ61111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ71111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ81111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ911-1-111-1-11-1-1111-1-111-1-1i−ii−ii−ii−i11-1-111-1-11-1-1111-1-111-1-1i−ii−ii−ii−i11-1-111-1-11-1-1111-1-111-1-1i−ii−ii−ii−i
χ1011-1-111-1-11-1-1111-1-111-1-1−ii−ii−ii−ii11-1-111-1-11-1-1111-1-111-1-1−ii−ii−ii−ii11-1-111-1-11-1-1111-1-111-1-1−ii−ii−ii−ii
χ1111-1-111-1-11-1-11-1-111-1-111i−ii−i−ii−ii11-1-111-1-11-1-11-1-111-1-111i−ii−i−ii−ii11-1-111-1-11-1-11-1-111-1-111i−ii−i−ii−ii
χ1211-1-111-1-11-1-11-1-111-1-111−ii−iii−ii−i11-1-111-1-11-1-11-1-111-1-111−ii−iii−ii−i11-1-111-1-11-1-11-1-111-1-111−ii−iii−ii−i
χ1311-1-1-1-111-11-1111-1-1-1-111i−i−iii−i−ii11-1-1-1-111-11-1111-1-1-1-111i−i−iii−i−ii11-1-1-1-111-11-1111-1-1-1-111i−i−iii−i−ii
χ1411-1-1-1-111-11-1111-1-1-1-111−iii−i−iii−i11-1-1-1-111-11-1111-1-1-1-111−iii−i−iii−i11-1-1-1-111-11-1111-1-1-1-111−iii−i−iii−i
χ1511-1-1-1-111-11-11-1-11111-1-1i−i−ii−iii−i11-1-1-1-111-11-11-1-11111-1-1i−i−ii−iii−i11-1-1-1-111-11-11-1-11111-1-1i−i−ii−iii−i
χ1611-1-1-1-111-11-11-1-11111-1-1−iii−ii−i−ii11-1-1-1-111-11-11-1-11111-1-1−iii−ii−i−ii11-1-1-1-111-11-11-1-11111-1-1−iii−ii−i−ii
χ1722222222-2-2-2-2000000000000000022222222-2-2-2-2000000000000000022222222-2-2-2-20000000000000000
χ182222-2-2-2-222-2-200000000000000002222-2-2-2-222-2-200000000000000002222-2-2-2-222-2-20000000000000000
χ1922-2-222-2-2-222-2000000000000000022-2-222-2-2-222-2000000000000000022-2-222-2-2-222-20000000000000000
χ2022-2-2-2-2222-22-2000000000000000022-2-2-2-2222-22-2000000000000000022-2-2-2-2222-22-20000000000000000
χ212-22-22i−2i2i−2i0000i2−i2i2−i22−22−2000000002-22-22i−2i2i−2i0000i2−i2i2−i22−22−2000000002-22-22i−2i2i−2i0000i2−i2i2−i22−22−200000000
χ222-22-22i−2i2i−2i0000−i2i2−i2i2−22−22000000002-22-22i−2i2i−2i0000−i2i2−i2i2−22−22000000002-22-22i−2i2i−2i0000−i2i2−i2i2−22−2200000000
χ232-22-2−2i2i−2i2i0000i2−i2i2−i2−22−22000000002-22-2−2i2i−2i2i0000i2−i2i2−i2−22−22000000002-22-2−2i2i−2i2i0000i2−i2i2−i2−22−2200000000
χ242-22-2−2i2i−2i2i0000−i2i2−i2i22−22−2000000002-22-2−2i2i−2i2i0000−i2i2−i2i22−22−2000000002-22-2−2i2i−2i2i0000−i2i2−i2i22−22−200000000
χ252-2-222i−2i−2i2i0000i2−i2−i2i22−2−22000000002-2-222i−2i−2i2i0000i2−i2−i2i22−2−22000000002-2-222i−2i−2i2i0000i2−i2−i2i22−2−2200000000
χ262-2-222i−2i−2i2i0000−i2i2i2−i2−222−2000000002-2-222i−2i−2i2i0000−i2i2i2−i2−222−2000000002-2-222i−2i−2i2i0000−i2i2i2−i2−222−200000000
χ272-2-22−2i2i2i−2i0000i2−i2−i2i2−222−2000000002-2-22−2i2i2i−2i0000i2−i2−i2i2−222−2000000002-2-22−2i2i2i−2i0000i2−i2−i2i2−222−200000000
χ282-2-22−2i2i2i−2i0000−i2i2i2−i22−2−22000000002-2-22−2i2i2i−2i0000−i2i2i2−i22−2−22000000002-2-22−2i2i2i−2i0000−i2i2i2−i22−2−2200000000
χ291111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3011111111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ31111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ32111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ331111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ341111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ351111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ361111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ3711-1-111-1-11-1-1111-1-111-1-1i−ii−ii−ii−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22
χ3811-1-111-1-11-1-1111-1-111-1-1−ii−ii−ii−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22
χ3911-1-111-1-11-1-11-1-111-1-111i−ii−i−ii−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22
χ4011-1-111-1-11-1-11-1-111-1-111−ii−iii−ii−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22
χ4111-1-1-1-111-11-1111-1-1-1-111i−i−iii−i−ii−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22
χ4211-1-1-1-111-11-1111-1-1-1-111−iii−i−iii−i−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22
χ4311-1-1-1-111-11-11-1-11111-1-1i−i−ii−iii−i−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ14−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ22
χ4411-1-1-1-111-11-11-1-11111-1-1−iii−ii−i−ii−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22
χ4522222222-2-2-2-20000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000
χ462222-2-2-2-222-2-20000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i30000000000000000
χ4722-2-222-2-2-222-20000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i30000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i30000000000000000
χ4822-2-2-2-2222-22-20000000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i30000000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i30000000000000000
χ492-22-22i−2i2i−2i0000i2−i2i2−i22−22−200000000−1+i31−i3−1+i31−i32ζ14−2ζ142ζ14−2ζ140000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000−1−i31+i3−1−i31+i32ζ22−2ζ222ζ22−2ζ220000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000
χ502-22-22i−2i2i−2i0000−i2i2−i2i2−22−2200000000−1+i31−i3−1+i31−i32ζ14−2ζ142ζ14−2ζ140000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000−1−i31+i3−1−i31+i32ζ22−2ζ222ζ22−2ζ220000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000
χ512-22-2−2i2i−2i2i0000i2−i2i2−i2−22−2200000000−1+i31−i3−1+i31−i3−2ζ142ζ14−2ζ142ζ140000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000−1−i31+i3−1−i31+i3−2ζ222ζ22−2ζ222ζ220000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000
χ522-22-2−2i2i−2i2i0000−i2i2−i2i22−22−200000000−1+i31−i3−1+i31−i3−2ζ142ζ14−2ζ142ζ140000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000−1−i31+i3−1−i31+i3−2ζ222ζ22−2ζ222ζ220000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000
χ532-2-222i−2i−2i2i0000i2−i2−i2i22−2−2200000000−1+i31−i31−i3−1+i32ζ14−2ζ14−2ζ142ζ140000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000−1−i31+i31+i3−1−i32ζ22−2ζ22−2ζ222ζ220000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000
χ542-2-222i−2i−2i2i0000−i2i2i2−i2−222−200000000−1+i31−i31−i3−1+i32ζ14−2ζ14−2ζ142ζ140000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000−1−i31+i31+i3−1−i32ζ22−2ζ22−2ζ222ζ220000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000
χ552-2-22−2i2i2i−2i0000i2−i2−i2i2−222−200000000−1+i31−i31−i3−1+i3−2ζ142ζ142ζ14−2ζ140000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000−1−i31+i31+i3−1−i3−2ζ222ζ222ζ22−2ζ220000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000
χ562-2-22−2i2i2i−2i0000−i2i2i2−i22−2−2200000000−1+i31−i31−i3−1+i3−2ζ142ζ142ζ14−2ζ140000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000−1−i31+i31+i3−1−i3−2ζ222ζ222ζ22−2ζ220000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000
χ571111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ5811111111111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ59111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ60111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ611111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ621111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ631111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ641111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ6511-1-111-1-11-1-1111-1-111-1-1i−ii−ii−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14
χ6611-1-111-1-11-1-1111-1-111-1-1−ii−ii−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14
χ6711-1-111-1-11-1-11-1-111-1-111i−ii−i−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14
χ6811-1-111-1-11-1-11-1-111-1-111−ii−iii−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14
χ6911-1-1-1-111-11-1111-1-1-1-111i−i−iii−i−ii−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14
χ7011-1-1-1-111-11-1111-1-1-1-111−iii−i−iii−i−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14
χ7111-1-1-1-111-11-11-1-11111-1-1i−i−ii−iii−i−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ22−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ14
χ7211-1-1-1-111-11-11-1-11111-1-1−iii−ii−i−ii−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14
χ7322222222-2-2-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000
χ742222-2-2-2-222-2-20000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i30000000000000000
χ7522-2-222-2-2-222-20000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i30000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i30000000000000000
χ7622-2-2-2-2222-22-20000000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i30000000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i30000000000000000
χ772-22-22i−2i2i−2i0000i2−i2i2−i22−22−200000000−1−i31+i3−1−i31+i32ζ22−2ζ222ζ22−2ζ220000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i31−i3−1+i31−i32ζ14−2ζ142ζ14−2ζ140000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000
χ782-22-22i−2i2i−2i0000−i2i2−i2i2−22−2200000000−1−i31+i3−1−i31+i32ζ22−2ζ222ζ22−2ζ220000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i31−i3−1+i31−i32ζ14−2ζ142ζ14−2ζ140000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000
χ792-22-2−2i2i−2i2i0000i2−i2i2−i2−22−2200000000−1−i31+i3−1−i31+i3−2ζ222ζ22−2ζ222ζ220000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i31−i3−1+i31−i3−2ζ142ζ14−2ζ142ζ140000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000
χ802-22-2−2i2i−2i2i0000−i2i2−i2i22−22−200000000−1−i31+i3−1−i31+i3−2ζ222ζ22−2ζ222ζ220000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i31−i3−1+i31−i3−2ζ142ζ14−2ζ142ζ140000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000
χ812-2-222i−2i−2i2i0000i2−i2−i2i22−2−2200000000−1−i31+i31+i3−1−i32ζ22−2ζ22−2ζ222ζ220000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i31−i31−i3−1+i32ζ14−2ζ14−2ζ142ζ140000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000
χ822-2-222i−2i−2i2i0000−i2i2i2−i2−222−200000000−1−i31+i31+i3−1−i32ζ22−2ζ22−2ζ222ζ220000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i31−i31−i3−1+i32ζ14−2ζ14−2ζ142ζ140000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000
χ832-2-22−2i2i2i−2i0000i2−i2−i2i2−222−200000000−1−i31+i31+i3−1−i3−2ζ222ζ222ζ22−2ζ220000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i31−i31−i3−1+i3−2ζ142ζ142ζ14−2ζ140000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000
χ842-2-22−2i2i2i−2i0000−i2i2i2−i22−2−2200000000−1−i31+i31+i3−1−i3−2ζ222ζ222ζ22−2ζ220000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i31−i31−i3−1+i3−2ζ142ζ142ζ14−2ζ140000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000

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