Finite Group Databasebeta

← Group #72813

Character table — Group #72813

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222244448888888888881111222222444488888888888811112222224444888888888888
order1244222444888824444488888836121266612121224242424612121212122424242424243612126661212122424242461212121212242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ311111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-1
χ411111111111111-1-1-1-111-1-111-1-111111111111111-1-1-1-111-1-111-1-111111111111111-1-1-1-111-1-111-1-1
χ51111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1
χ71111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111
χ922222-2-2-2-22000000000000002-222222-2-2-2-22000000000000002-222222-2-2-2-22000000000000002-2
χ1022222-2-2-2-2200000000000000-2222222-2-2-2-2200000000000000-2222222-2-2-2-2200000000000000-22
χ112222-22-22-2-2000000002-20000002222-22-22-2-2000000002-20000002222-22-22-2-2000000002-2000000
χ122222-22-22-2-200000000-220000002222-22-22-2-200000000-220000002222-22-22-2-200000000-22000000
χ132222-2-22-22-20000002-2000000002222-2-22-22-20000002-2000000002222-2-22-22-20000002-200000000
χ142222-2-22-22-2000000-22000000002222-2-22-22-2000000-22000000002222-2-22-22-2000000-2200000000
χ1522-2-2222-2-2-22i2i−2i−2i00000000000022-2-2222-2-2-22i2i−2i−2i00000000000022-2-2222-2-2-22i2i−2i−2i000000000000
χ1622-2-2222-2-2-2−2i−2i2i2i00000000000022-2-2222-2-2-2−2i−2i2i2i00000000000022-2-2222-2-2-2−2i−2i2i2i000000000000
χ1722-2-22-2-222-200002-2000000000022-2-22-2-222-200002-2000000000022-2-22-2-222-200002-20000000000
χ1822-2-22-2-222-20000-22000000000022-2-22-2-222-20000-22000000000022-2-22-2-222-20000-220000000000
χ1922-2-2-22-2-2220000000000002i−2i0022-2-2-22-2-2220000000000002i−2i0022-2-2-22-2-2220000000000002i−2i00
χ2022-2-2-22-2-222000000000000−2i2i0022-2-2-22-2-222000000000000−2i2i0022-2-2-22-2-222000000000000−2i2i00
χ2122-2-2-2-222-2200000000002i−2i000022-2-2-2-222-2200000000002i−2i000022-2-2-2-222-2200000000002i−2i0000
χ2222-2-2-2-222-220000000000−2i2i000022-2-2-2-222-220000000000−2i2i000022-2-2-2-222-220000000000−2i2i0000
χ234-44i−4i0000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000004-44i−4i0000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000004-44i−4i0000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ244-44i−4i000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000004-44i−4i000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000004-44i−4i000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ254-4−4i4i0000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000004-4−4i4i0000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000004-4−4i4i0000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ264-4−4i4i000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000004-4−4i4i000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000004-4−4i4i000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ2711111111111111111111111111−1+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
χ281111111111111111-1-1-1-1-1-1-1-111−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ2911111111111111-1-111-1-111-1-1-1-1−1+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+i321−i321−i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ3011111111111111-1-1-1-111-1-111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ311111111111-1-1-1-11111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ321111111111-1-1-1-111-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ331111111111-1-1-1-1-1-11111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ341111111111-1-1-1-1-1-1-1-1-1-1111111−1+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−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3522222-2-2-2-22000000000000002-2−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i300000000000000−1+i31−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i300000000000000−1−i31+i3
χ3622222-2-2-2-2200000000000000-22−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3000000000000001−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3000000000000001+i3−1−i3
χ372222-22-22-2-2000000002-2000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i300000000−1+i31−i3000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i300000000−1−i31+i3000000
χ382222-22-22-2-200000000-22000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3000000001−i3−1+i3000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3000000001+i3−1−i3000000
χ392222-2-22-22-20000002-200000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3000000−1+i31−i300000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3000000−1−i31+i300000000
χ402222-2-22-22-2000000-2200000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i30000001−i3−1+i300000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i30000001+i3−1−i300000000
χ4122-2-2222-2-2-22i2i−2i−2i000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i32ζ142ζ14−2ζ14−2ζ14000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i32ζ222ζ22−2ζ22−2ζ22000000000000
χ4222-2-2222-2-2-2−2i−2i2i2i000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−2ζ14−2ζ142ζ142ζ14000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−2ζ22−2ζ222ζ222ζ22000000000000
χ4322-2-22-2-222-200002-20000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i30000−1+i31−i30000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i30000−1−i31+i30000000000
χ4422-2-22-2-222-20000-220000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i300001−i3−1+i30000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i300001+i3−1−i30000000000
χ4522-2-2-22-2-2220000000000002i−2i00−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000000000002ζ14−2ζ1400−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000000000002ζ22−2ζ2200
χ4622-2-2-22-2-222000000000000−2i2i00−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3000000000000−2ζ142ζ1400−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3000000000000−2ζ222ζ2200
χ4722-2-2-2-222-2200000000002i−2i0000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i300000000002ζ14−2ζ140000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i300000000002ζ22−2ζ220000
χ4822-2-2-2-222-220000000000−2i2i0000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i30000000000−2ζ142ζ140000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i30000000000−2ζ222ζ220000
χ494-44i−4i0000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−2+2i32−2i34ζ14−4ζ14000000−2ζ232ζ23−2ζ52ζ5000000000000−2−2i32+2i34ζ22−4ζ22000000−2ζ72ζ7−2ζ132ζ13000000000000
χ504-44i−4i000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−2+2i32−2i34ζ14−4ζ140000002ζ23−2ζ232ζ5−2ζ5000000000000−2−2i32+2i34ζ22−4ζ220000002ζ7−2ζ72ζ13−2ζ13000000000000
χ514-4−4i4i0000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−2+2i32−2i3−4ζ144ζ14000000−2ζ52ζ5−2ζ232ζ23000000000000−2−2i32+2i3−4ζ224ζ22000000−2ζ132ζ13−2ζ72ζ7000000000000
χ524-4−4i4i000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000−2+2i32−2i3−4ζ144ζ140000002ζ5−2ζ52ζ23−2ζ23000000000000−2−2i32+2i3−4ζ224ζ220000002ζ13−2ζ132ζ7−2ζ7000000000000
χ5311111111111111111111111111−1−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
χ541111111111111111-1-1-1-1-1-1-1-111−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ5511111111111111-1-111-1-111-1-1-1-1−1−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−i321+i321+i32−1−i32−1−i321+i321+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ5611111111111111-1-1-1-111-1-111-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ571111111111-1-1-1-11111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ581111111111-1-1-1-111-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ591111111111-1-1-1-1-1-11111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ601111111111-1-1-1-1-1-1-1-1-1-1111111−1−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+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6122222-2-2-2-22000000000000002-2−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i300000000000000−1−i31+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i300000000000000−1+i31−i3
χ6222222-2-2-2-2200000000000000-22−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3000000000000001+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3000000000000001−i3−1+i3
χ632222-22-22-2-2000000002-2000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i300000000−1−i31+i3000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i300000000−1+i31−i3000000
χ642222-22-22-2-200000000-22000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3000000001+i3−1−i3000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3000000001−i3−1+i3000000
χ652222-2-22-22-20000002-200000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3000000−1−i31+i300000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3000000−1+i31−i300000000
χ662222-2-22-22-2000000-2200000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i30000001+i3−1−i300000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i30000001−i3−1+i300000000
χ6722-2-2222-2-2-22i2i−2i−2i000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i32ζ222ζ22−2ζ22−2ζ22000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i32ζ142ζ14−2ζ14−2ζ14000000000000
χ6822-2-2222-2-2-2−2i−2i2i2i000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−2ζ22−2ζ222ζ222ζ22000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−2ζ14−2ζ142ζ142ζ14000000000000
χ6922-2-22-2-222-200002-20000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i30000−1−i31+i30000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i30000−1+i31−i30000000000
χ7022-2-22-2-222-20000-220000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i300001+i3−1−i30000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i300001−i3−1+i30000000000
χ7122-2-2-22-2-2220000000000002i−2i00−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000000000002ζ22−2ζ2200−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000000000002ζ14−2ζ1400
χ7222-2-2-22-2-222000000000000−2i2i00−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3000000000000−2ζ222ζ2200−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3000000000000−2ζ142ζ1400
χ7322-2-2-2-222-2200000000002i−2i0000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i300000000002ζ22−2ζ220000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i300000000002ζ14−2ζ140000
χ7422-2-2-2-222-220000000000−2i2i0000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i30000000000−2ζ222ζ220000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i30000000000−2ζ142ζ140000
χ754-44i−4i0000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−2−2i32+2i34ζ22−4ζ22000000−2ζ72ζ7−2ζ132ζ13000000000000−2+2i32−2i34ζ14−4ζ14000000−2ζ232ζ23−2ζ52ζ5000000000000
χ764-44i−4i000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−2−2i32+2i34ζ22−4ζ220000002ζ7−2ζ72ζ13−2ζ13000000000000−2+2i32−2i34ζ14−4ζ140000002ζ23−2ζ232ζ5−2ζ5000000000000
χ774-4−4i4i0000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−2−2i32+2i3−4ζ224ζ22000000−2ζ132ζ13−2ζ72ζ7000000000000−2+2i32−2i3−4ζ144ζ14000000−2ζ52ζ5−2ζ232ζ23000000000000
χ784-4−4i4i000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000−2−2i32+2i3−4ζ224ζ220000002ζ13−2ζ132ζ7−2ζ7000000000000−2+2i32−2i3−4ζ144ζ140000002ζ5−2ζ52ζ23−2ζ23000000000000

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