Finite Group Databasebeta

← Group #67955

Character table — Group #67955

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122444444444488888888881111224444444444888888888811112244444444448888888888
order1244242224448888444488888836121261266612121224242424121212122424242424243612126126661212122424242412121212242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1
χ3111111111111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-11-1-11111ii−i−i-1-1ii−i−i1111111-1-11-1-11111ii−i−i-1-1ii−i−i1111111-1-11-1-11111ii−i−i-1-1ii−i−i
χ61111111-1-11-1-11111−i−iii-1-1−i−iii1111111-1-11-1-11111−i−iii-1-1−i−iii1111111-1-11-1-11111−i−iii-1-1−i−iii
χ71111111-1-11-1-1-1-1-1-1ii−i−i11−i−iii1111111-1-11-1-1-1-1-1-1ii−i−i11−i−iii1111111-1-11-1-1-1-1-1-1ii−i−i11−i−iii
χ81111111-1-11-1-1-1-1-1-1−i−iii11ii−i−i1111111-1-11-1-1-1-1-1-1−i−iii11ii−i−i1111111-1-11-1-1-1-1-1-1−i−iii11ii−i−i
χ911-1-11-1-1111-1-1ii−i−i1-11-1i−ii−ii−i11-1-11-1-1111-1-1ii−i−i1-11-1i−ii−ii−i11-1-11-1-1111-1-1ii−i−i1-11-1i−ii−ii−i
χ1011-1-11-1-1111-1-1ii−i−i-11-11i−i−ii−ii11-1-11-1-1111-1-1ii−i−i-11-11i−i−ii−ii11-1-11-1-1111-1-1ii−i−i-11-11i−i−ii−ii
χ1111-1-11-1-1111-1-1−i−iii1-11-1−ii−ii−ii11-1-11-1-1111-1-1−i−iii1-11-1−ii−ii−ii11-1-11-1-1111-1-1−i−iii1-11-1−ii−ii−ii
χ1211-1-11-1-1111-1-1−i−iii-11-11−iii−ii−i11-1-11-1-1111-1-1−i−iii-11-11−iii−ii−i11-1-11-1-1111-1-1−i−iii-11-11−iii−ii−i
χ1311-1-11-1-1-1-1111ii−i−ii−i−ii−ii-111-111-1-11-1-1-1-1111ii−i−ii−i−ii−ii-111-111-1-11-1-1-1-1111ii−i−ii−i−ii−ii-111-1
χ1411-1-11-1-1-1-1111ii−i−i−iii−i−ii1-1-1111-1-11-1-1-1-1111ii−i−i−iii−i−ii1-1-1111-1-11-1-1-1-1111ii−i−i−iii−i−ii1-1-11
χ1511-1-11-1-1-1-1111−i−iiii−i−iii−i1-1-1111-1-11-1-1-1-1111−i−iiii−i−iii−i1-1-1111-1-11-1-1-1-1111−i−iiii−i−iii−i1-1-11
χ1611-1-11-1-1-1-1111−i−iii−iii−ii−i-111-111-1-11-1-1-1-1111−i−iii−iii−ii−i-111-111-1-11-1-1-1-1111−i−iii−iii−ii−i-111-1
χ17222222-22-2-2-2200000000000000222222-22-2-2-2200000000000000222222-22-2-2-2200000000000000
χ18222222-2-22-22-200000000000000222222-2-22-22-200000000000000222222-2-22-22-200000000000000
χ1922-2-22-222-2-22-20000000000000022-2-22-222-2-22-20000000000000022-2-22-222-2-22-200000000000000
χ2022-2-22-22-22-2-220000000000000022-2-22-22-22-2-220000000000000022-2-22-22-22-2-2200000000000000
χ214444-4-4000000000000000000004444-4-4000000000000000000004444-4-400000000000000000000
χ2244-4-4-440000000000000000000044-4-4-440000000000000000000044-4-4-4400000000000000000000
χ234-44i−4i000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000004-44i−4i000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000004-44i−4i000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000
χ244-44i−4i00000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000004-44i−4i00000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000004-44i−4i00000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000
χ254-4−4i4i000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000004-4−4i4i000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000004-4−4i4i000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000
χ264-4−4i4i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000004-4−4i4i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000004-4−4i4i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000
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
χ281111111111111111-1-1-1-111-1-1-1-1−1+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+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ29111111111111-1-1-1-11111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−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+i321+i321+i32
χ30111111111111-1-1-1-1-1-1-1-1-1-11111−1+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−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
χ311111111-1-11-1-11111ii−i−i-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221+i321+i32ζ22ζ22−ζ22−ζ22
χ321111111-1-11-1-11111−i−iii-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ141−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221+i321+i32−ζ22−ζ22ζ22ζ22
χ331111111-1-11-1-1-1-1-1-1ii−i−i11−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i32−ζ22−ζ22ζ22ζ22
χ341111111-1-11-1-1-1-1-1-1−i−iii11ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i32ζ22ζ22−ζ22−ζ22
χ3511-1-11-1-1111-1-1ii−i−i1-11-1i−ii−ii−i−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22ζ22−ζ22
χ3611-1-11-1-1111-1-1ii−i−i-11-11i−i−ii−ii−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32ζ14−ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32ζ22−ζ22−ζ22ζ22−ζ22ζ22
χ3711-1-11-1-1111-1-1−i−iii1-11-1−ii−ii−ii−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22−ζ22ζ22
χ3811-1-11-1-1111-1-1−i−iii-11-11−iii−ii−i−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i321−i32−1+i32−ζ14ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i321+i32−1−i32−ζ22ζ22ζ22−ζ22ζ22−ζ22
χ3911-1-11-1-1-1-1111ii−i−ii−i−ii−ii-111-1−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ141−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ221+i32−1−i32−1−i321+i32
χ4011-1-11-1-1-1-1111ii−i−i−iii−i−ii1-1-11−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22−1−i321+i321+i32−1−i32
χ4111-1-11-1-1-1-1111−i−iiii−i−iii−i1-1-11−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−1−i321+i321+i32−1−i32
χ4211-1-11-1-1-1-1111−i−iii−iii−ii−i-111-1−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ141−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ221+i32−1−i32−1−i321+i32
χ43222222-22-2-2-2200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i300000000000000
χ44222222-2-22-22-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i300000000000000
χ4522-2-22-222-2-22-200000000000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i300000000000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i300000000000000
χ4622-2-22-22-22-2-2200000000000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i300000000000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i300000000000000
χ474444-4-400000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i300000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i300000000000000000000
χ4844-4-4-4400000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i300000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i300000000000000000000
χ494-44i−4i000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000−2+2i32−2i34ζ14−4ζ1400000000−2ζ232ζ23−2ζ52ζ50000000000−2−2i32+2i34ζ22−4ζ2200000000−2ζ72ζ7−2ζ132ζ130000000000
χ504-44i−4i00000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000−2+2i32−2i34ζ14−4ζ14000000002ζ23−2ζ232ζ5−2ζ50000000000−2−2i32+2i34ζ22−4ζ22000000002ζ7−2ζ72ζ13−2ζ130000000000
χ514-4−4i4i000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000−2+2i32−2i3−4ζ144ζ1400000000−2ζ52ζ5−2ζ232ζ230000000000−2−2i32+2i3−4ζ224ζ2200000000−2ζ132ζ13−2ζ72ζ70000000000
χ524-4−4i4i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000−2+2i32−2i3−4ζ144ζ14000000002ζ5−2ζ52ζ23−2ζ230000000000−2−2i32+2i3−4ζ224ζ22000000002ζ13−2ζ132ζ7−2ζ70000000000
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
χ541111111111111111-1-1-1-111-1-1-1-1−1−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−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ55111111111111-1-1-1-11111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+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−i321−i321−i32
χ56111111111111-1-1-1-1-1-1-1-1-1-11111−1−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+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
χ571111111-1-11-1-11111ii−i−i-1-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141−i321−i32ζ14ζ14−ζ14−ζ14
χ581111111-1-11-1-11111−i−iii-1-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ141−i321−i32−ζ14−ζ14ζ14ζ14
χ591111111-1-11-1-1-1-1-1-1ii−i−i11−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i32−ζ14−ζ14ζ14ζ14
χ601111111-1-11-1-1-1-1-1-1−i−iii11ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i32ζ14ζ14−ζ14−ζ14
χ6111-1-11-1-1111-1-1ii−i−i1-11-1i−ii−ii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14ζ14−ζ14
χ6211-1-11-1-1111-1-1ii−i−i-11-11i−i−ii−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32ζ22−ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32ζ14−ζ14−ζ14ζ14−ζ14ζ14
χ6311-1-11-1-1111-1-1−i−iii1-11-1−ii−ii−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14−ζ14ζ14
χ6411-1-11-1-1111-1-1−i−iii-11-11−iii−ii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i321+i32−1−i32−ζ22ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i321−i32−1+i32−ζ14ζ14ζ14−ζ14ζ14−ζ14
χ6511-1-11-1-1-1-1111ii−i−ii−i−ii−ii-111-1−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ221+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ141−i32−1+i32−1+i321−i32
χ6611-1-11-1-1-1-1111ii−i−i−iii−i−ii1-1-11−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14−1+i321−i321−i32−1+i32
χ6711-1-11-1-1-1-1111−i−iiii−i−iii−i1-1-11−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−1+i321−i321−i32−1+i32
χ6811-1-11-1-1-1-1111−i−iii−iii−ii−i-111-1−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ221+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ141−i32−1+i32−1+i321−i32
χ69222222-22-2-2-2200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i300000000000000
χ70222222-2-22-22-200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i300000000000000
χ7122-2-22-222-2-22-200000000000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i300000000000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i300000000000000
χ7222-2-22-22-22-2-2200000000000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i300000000000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i300000000000000
χ734444-4-400000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i300000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i300000000000000000000
χ7444-4-4-4400000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i300000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i300000000000000000000
χ754-44i−4i000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000−2−2i32+2i34ζ22−4ζ2200000000−2ζ72ζ7−2ζ132ζ130000000000−2+2i32−2i34ζ14−4ζ1400000000−2ζ232ζ23−2ζ52ζ50000000000
χ764-44i−4i00000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000−2−2i32+2i34ζ22−4ζ22000000002ζ7−2ζ72ζ13−2ζ130000000000−2+2i32−2i34ζ14−4ζ14000000002ζ23−2ζ232ζ5−2ζ50000000000
χ774-4−4i4i000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000−2−2i32+2i3−4ζ224ζ2200000000−2ζ132ζ13−2ζ72ζ70000000000−2+2i32−2i3−4ζ144ζ1400000000−2ζ52ζ5−2ζ232ζ230000000000
χ784-4−4i4i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000−2−2i32+2i3−4ζ224ζ22000000002ζ13−2ζ132ζ7−2ζ70000000000−2+2i32−2i3−4ζ144ζ14000000002ζ5−2ζ52ζ23−2ζ230000000000

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