Finite Group Databasebeta

← Group #67925

Character table — Group #67925

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222444444444448888161611112222222244444444444888816161111222222224444444444488881616
order1222444488884881616161616161616888844366612121212242424241224244848484848484848242424241212366612121212242424241224244848484848484848242424241212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1
χ3111111111111111-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-111-1-1-1-1-1-111iiii−i−i−i−iii−i−i1-11111-111-1-1-1-1-1-111iiii−i−i−i−iii−i−i1-11111-111-1-1-1-1-1-111iiii−i−i−i−iii−i−i1-1
χ61111-111-1-1-1-1-1-111iiii−i−i−i−i−i−iii-111111-111-1-1-1-1-1-111iiii−i−i−i−i−i−iii-111111-111-1-1-1-1-1-111iiii−i−i−i−i−i−iii-11
χ71111-111-1-1-1-1-1-111−i−i−i−iiiiiii−i−i-111111-111-1-1-1-1-1-111−i−i−i−iiiiiii−i−i-111111-111-1-1-1-1-1-111−i−i−i−iiiiiii−i−i-11
χ81111-111-1-1-1-1-1-111−i−i−i−iiiii−i−iii1-11111-111-1-1-1-1-1-111−i−i−i−iiiii−i−iii1-11111-111-1-1-1-1-1-111−i−i−i−iiiii−i−iii1-1
χ922222222-2-2-2-22-2-20000000000000022222222-2-2-2-22-2-20000000000000022222222-2-2-2-22-2-200000000000000
χ1022222-2-220000-20022−2−222−2−200000022222-2-220000-20022−2−222−2−200000022222-2-220000-20022−2−222−2−2000000
χ1122222-2-220000-200−2−222−2−22200000022222-2-220000-200−2−222−2−22200000022222-2-220000-200−2−222−2−222000000
χ122222-222-22222-2-2-2000000000000002222-222-22222-2-2-2000000000000002222-222-22222-2-2-200000000000000
χ132222-2-2-2-20000200i2i2−i2−i2−i2−i2i2i20000002222-2-2-2-20000200i2i2−i2−i2−i2−i2i2i20000002222-2-2-2-20000200i2i2−i2−i2−i2−i2i2i2000000
χ142222-2-2-2-20000200−i2−i2i2i2i2i2−i2−i20000002222-2-2-2-20000200−i2−i2i2i2i2i2−i2−i20000002222-2-2-2-20000200−i2−i2i2i2i2i2−i2−i2000000
χ1522-2-202-2022-2-2000000000002−22−20022-2-202-2022-2-2000000000002−22−20022-2-202-2022-2-2000000000002−22−200
χ1622-2-202-2022-2-200000000000−22−220022-2-202-2022-2-200000000000−22−220022-2-202-2022-2-200000000000−22−2200
χ1722-2-202-20-2-22200000000000i2−i2−i2i20022-2-202-20-2-22200000000000i2−i2−i2i20022-2-202-20-2-22200000000000i2−i2−i2i200
χ1822-2-202-20-2-22200000000000−i2i2i2−i20022-2-202-20-2-22200000000000−i2i2i2−i20022-2-202-20-2-22200000000000−i2i2i2−i200
χ192-22-2200-22−22−202−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000002-22-2200-22−22−202−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000002-22-2200-22−22−202−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000
χ202-22-2200-22−22−202−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000002-22-2200-22−22−202−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000002-22-2200-22−22−202−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000
χ212-22-2200-2−22−220−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000002-22-2200-2−22−220−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000002-22-2200-2−22−220−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000
χ222-22-2200-2−22−220−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000002-22-2200-2−22−220−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000002-22-2200-2−22−220−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000
χ232-22-2-20022−22−20−22ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000002-22-2-20022−22−20−22ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000002-22-2-20022−22−20−22ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000
χ242-22-2-20022−22−20−22−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000002-22-2-20022−22−20−22−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000002-22-2-20022−22−20−22−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000
χ252-22-2-2002−22−2202−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000002-22-2-2002−22−2202−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000002-22-2-2002−22−2202−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000
χ262-22-2-2002−22−2202−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000002-22-2-2002−22−2202−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000002-22-2-2002−22−2202−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000
χ2744-4-40-44000000000000000000000044-4-40-44000000000000000000000044-4-40-440000000000000000000000
χ284-4-44000022−22−2222000000000000000004-4-44000022−22−2222000000000000000004-4-44000022−22−222200000000000000000
χ294-4-440000−222222−22000000000000000004-4-440000−222222−22000000000000000004-4-440000−222222−2200000000000000000
χ3011111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3111111111111111111111111-1-1-1-1-1-1−1+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+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−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
χ32111111111111111-1-1-1-1-1-1-1-11111-1-1−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ33111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−1+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+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−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ341111-111-1-1-1-1-1-111iiii−i−i−i−iii−i−i1-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28ζ28ζ28−ζ28−ζ28−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44ζ44ζ44−ζ44−ζ44−1−i321+i32
χ351111-111-1-1-1-1-1-111iiii−i−i−i−i−i−iii-11−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28−ζ28−ζ28ζ28ζ281−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44−ζ44−ζ44ζ44ζ441+i32−1−i32
χ361111-111-1-1-1-1-1-111−i−i−i−iiiiiii−i−i-11−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28ζ28ζ28−ζ28−ζ281−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44ζ44ζ44−ζ44−ζ441+i32−1−i32
χ371111-111-1-1-1-1-1-111−i−i−i−iiiii−i−iii1-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28−ζ28−ζ28ζ28ζ28−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44−ζ44−ζ44ζ44ζ44−1−i321+i32
χ3822222222-2-2-2-22-2-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i300000000000000
χ3922222-2-220000-20022−2−222−2−2000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i300001−i300ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i300001+i300−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26000000
χ4022222-2-220000-200−2−222−2−222000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i300001−i300−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i300001+i300ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26000000
χ412222-222-22222-2-2-200000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i300000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i300000000000000
χ422222-2-2-2-20000200i2i2−i2−i2−i2−i2i2i2000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i300−ζ10−ζ46−ζ10−ζ46ζ10+ζ46ζ10+ζ46ζ10+ζ46ζ10+ζ46−ζ10−ζ46−ζ10−ζ46000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i300−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ14+ζ26ζ14+ζ26ζ14+ζ26−ζ14−ζ26−ζ14−ζ26000000
χ432222-2-2-2-20000200−i2−i2i2i2i2i2−i2−i2000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i300ζ10+ζ46ζ10+ζ46−ζ10−ζ46−ζ10−ζ46−ζ10−ζ46−ζ10−ζ46ζ10+ζ46ζ10+ζ46000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i300ζ14+ζ26ζ14+ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ14+ζ26000000
χ4422-2-202-2022-2-2000000000002−22−200−1+i3−1+i31−i31−i30−1+i31−i30−1+i3−1+i31−i31−i300000000000ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ4600−1−i3−1−i31+i31+i30−1−i31+i30−1−i3−1−i31+i31+i300000000000−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ2600
χ4522-2-202-2022-2-200000000000−22−2200−1+i3−1+i31−i31−i30−1+i31−i30−1+i3−1+i31−i31−i300000000000−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ4600−1−i3−1−i31+i31+i30−1−i31+i30−1−i3−1−i31+i31+i300000000000ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ2600
χ4622-2-202-20-2-22200000000000i2−i2−i2i200−1+i3−1+i31−i31−i30−1+i31−i301−i31−i3−1+i3−1+i300000000000−ζ10−ζ46ζ10+ζ46ζ10+ζ46−ζ10−ζ4600−1−i3−1−i31+i31+i30−1−i31+i301+i31+i3−1−i3−1−i300000000000−ζ14−ζ26ζ14+ζ26ζ14+ζ26−ζ14−ζ2600
χ4722-2-202-20-2-22200000000000−i2i2i2−i200−1+i3−1+i31−i31−i30−1+i31−i301−i31−i3−1+i3−1+i300000000000ζ10+ζ46−ζ10−ζ46−ζ10−ζ46ζ10+ζ4600−1−i3−1−i31+i31+i30−1−i31+i301+i31+i3−1−i3−1−i300000000000ζ14+ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ2600
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χ512-22-2200-2−22−220−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000−1+i31−i3−1+i31−i3−1+i3001−i3−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ460−ζ10+ζ46ζ10−ζ46−ζ25+ζ31ζ25−ζ31ζ13−ζ43−ζ13+ζ43−ζ25+ζ31ζ25−ζ31ζ13−ζ43−ζ13+ζ43000000−1−i31+i3−1−i31+i3−1−i3001+i3ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ260ζ14−ζ26−ζ14+ζ26−ζ41+ζ47ζ41−ζ47−ζ11+ζ29ζ11−ζ29−ζ41+ζ47ζ41−ζ47−ζ11+ζ29ζ11−ζ29000000
χ522-22-2-20022−22−20−22ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000−1+i31−i3−1+i31−i31−i300−1+i3ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ460−ζ10+ζ46ζ10−ζ46−ζ13−ζ43ζ13+ζ43−ζ25−ζ31ζ25+ζ31ζ13+ζ43−ζ13−ζ43ζ25+ζ31−ζ25−ζ31000000−1−i31+i3−1−i31+i31+i300−1−i3−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ260ζ14−ζ26−ζ14+ζ26−ζ11−ζ29ζ11+ζ29−ζ41−ζ47ζ41+ζ47ζ11+ζ29−ζ11−ζ29ζ41+ζ47−ζ41−ζ47000000
χ532-22-2-20022−22−20−22−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000−1+i31−i3−1+i31−i31−i300−1+i3ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ460−ζ10+ζ46ζ10−ζ46ζ13+ζ43−ζ13−ζ43ζ25+ζ31−ζ25−ζ31−ζ13−ζ43ζ13+ζ43−ζ25−ζ31ζ25+ζ31000000−1−i31+i3−1−i31+i31+i300−1−i3−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ260ζ14−ζ26−ζ14+ζ26ζ11+ζ29−ζ11−ζ29ζ41+ζ47−ζ41−ζ47−ζ11−ζ29ζ11+ζ29−ζ41−ζ47ζ41+ζ47000000
χ542-22-2-2002−22−2202−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000−1+i31−i3−1+i31−i31−i300−1+i3−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ460ζ10−ζ46−ζ10+ζ46ζ25+ζ31−ζ25−ζ31−ζ13−ζ43ζ13+ζ43−ζ25−ζ31ζ25+ζ31ζ13+ζ43−ζ13−ζ43000000−1−i31+i3−1−i31+i31+i300−1−i3ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ260−ζ14+ζ26ζ14−ζ26ζ41+ζ47−ζ41−ζ47−ζ11−ζ29ζ11+ζ29−ζ41−ζ47ζ41+ζ47ζ11+ζ29−ζ11−ζ29000000
χ552-22-2-2002−22−2202−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000−1+i31−i3−1+i31−i31−i300−1+i3−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ460ζ10−ζ46−ζ10+ζ46−ζ25−ζ31ζ25+ζ31ζ13+ζ43−ζ13−ζ43ζ25+ζ31−ζ25−ζ31−ζ13−ζ43ζ13+ζ43000000−1−i31+i3−1−i31+i31+i300−1−i3ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ260−ζ14+ζ26ζ14−ζ26−ζ41−ζ47ζ41+ζ47ζ11+ζ29−ζ11−ζ29ζ41+ζ47−ζ41−ζ47−ζ11−ζ29ζ11+ζ29000000
χ5644-4-40-440000000000000000000000−2+2i3−2+2i32−2i32−2i302−2i3−2+2i30000000000000000000000−2−2i3−2−2i32+2i32+2i302+2i3−2−2i30000000000000000000000
χ574-4-44000022−22−222200000000000000000−2+2i32−2i32−2i3−2+2i300002ζ10−2ζ46−2ζ10+2ζ46−2ζ10+2ζ462ζ10−2ζ4600000000000000000−2−2i32+2i32+2i3−2−2i30000−2ζ14+2ζ262ζ14−2ζ262ζ14−2ζ26−2ζ14+2ζ2600000000000000000
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χ5911111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
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χ61111111111111111-1-1-1-1-1-1-1-11111-1-1−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−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+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ62111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−1−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−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+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ631111-111-1-1-1-1-1-111iiii−i−i−i−iii−i−i1-1−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44ζ44ζ44−ζ44−ζ44−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28ζ28ζ28−ζ28−ζ28−1+i321−i32
χ641111-111-1-1-1-1-1-111iiii−i−i−i−i−i−iii-11−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44−ζ44−ζ44ζ44ζ441+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28−ζ28−ζ28ζ28ζ281−i32−1+i32
χ651111-111-1-1-1-1-1-111−i−i−i−iiiiiii−i−i-11−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44ζ44ζ44−ζ44−ζ441+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28ζ28ζ28−ζ28−ζ281−i32−1+i32
χ661111-111-1-1-1-1-1-111−i−i−i−iiiii−i−iii1-1−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44−ζ44−ζ44ζ44ζ44−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28−ζ28−ζ28ζ28ζ28−1+i321−i32
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χ722222-2-2-2-20000200−i2−i2i2i2i2i2−i2−i2000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i300ζ14+ζ26ζ14+ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ14+ζ26000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i300ζ10+ζ46ζ10+ζ46−ζ10−ζ46−ζ10−ζ46−ζ10−ζ46−ζ10−ζ46ζ10+ζ46ζ10+ζ46000000
χ7322-2-202-2022-2-2000000000002−22−200−1−i3−1−i31+i31+i30−1−i31+i30−1−i3−1−i31+i31+i300000000000−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ2600−1+i3−1+i31−i31−i30−1+i31−i30−1+i3−1+i31−i31−i300000000000ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ4600
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χ7522-2-202-20-2-22200000000000i2−i2−i2i200−1−i3−1−i31+i31+i30−1−i31+i301+i31+i3−1−i3−1−i300000000000−ζ14−ζ26ζ14+ζ26ζ14+ζ26−ζ14−ζ2600−1+i3−1+i31−i31−i30−1+i31−i301−i31−i3−1+i3−1+i300000000000−ζ10−ζ46ζ10+ζ46ζ10+ζ46−ζ10−ζ4600
χ7622-2-202-20-2-22200000000000−i2i2i2−i200−1−i3−1−i31+i31+i30−1−i31+i301+i31+i3−1−i3−1−i300000000000ζ14+ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ2600−1+i3−1+i31−i31−i30−1+i31−i301−i31−i3−1+i3−1+i300000000000ζ10+ζ46−ζ10−ζ46−ζ10−ζ46ζ10+ζ4600
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χ782-22-2200-22−22−202−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000−1−i31+i3−1−i31+i3−1−i3001+i3−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ260−ζ14+ζ26ζ14−ζ26ζ11−ζ29−ζ11+ζ29−ζ41+ζ47ζ41−ζ47ζ11−ζ29−ζ11+ζ29−ζ41+ζ47ζ41−ζ47000000−1+i31−i3−1+i31−i3−1+i3001−i3ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ460ζ10−ζ46−ζ10+ζ46−ζ13+ζ43ζ13−ζ43−ζ25+ζ31ζ25−ζ31−ζ13+ζ43ζ13−ζ43−ζ25+ζ31ζ25−ζ31000000
χ792-22-2200-2−22−220−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000−1−i31+i3−1−i31+i3−1−i3001+i3ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ260ζ14−ζ26−ζ14+ζ26ζ41−ζ47−ζ41+ζ47ζ11−ζ29−ζ11+ζ29ζ41−ζ47−ζ41+ζ47ζ11−ζ29−ζ11+ζ29000000−1+i31−i3−1+i31−i3−1+i3001−i3−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ460−ζ10+ζ46ζ10−ζ46ζ25−ζ31−ζ25+ζ31−ζ13+ζ43ζ13−ζ43ζ25−ζ31−ζ25+ζ31−ζ13+ζ43ζ13−ζ43000000
χ802-22-2200-2−22−220−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000−1−i31+i3−1−i31+i3−1−i3001+i3ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ260ζ14−ζ26−ζ14+ζ26−ζ41+ζ47ζ41−ζ47−ζ11+ζ29ζ11−ζ29−ζ41+ζ47ζ41−ζ47−ζ11+ζ29ζ11−ζ29000000−1+i31−i3−1+i31−i3−1+i3001−i3−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ460−ζ10+ζ46ζ10−ζ46−ζ25+ζ31ζ25−ζ31ζ13−ζ43−ζ13+ζ43−ζ25+ζ31ζ25−ζ31ζ13−ζ43−ζ13+ζ43000000
χ812-22-2-20022−22−20−22ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000−1−i31+i3−1−i31+i31+i300−1−i3−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ260ζ14−ζ26−ζ14+ζ26−ζ11−ζ29ζ11+ζ29−ζ41−ζ47ζ41+ζ47ζ11+ζ29−ζ11−ζ29ζ41+ζ47−ζ41−ζ47000000−1+i31−i3−1+i31−i31−i300−1+i3ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ460−ζ10+ζ46ζ10−ζ46−ζ13−ζ43ζ13+ζ43−ζ25−ζ31ζ25+ζ31ζ13+ζ43−ζ13−ζ43ζ25+ζ31−ζ25−ζ31000000
χ822-22-2-20022−22−20−22−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000−1−i31+i3−1−i31+i31+i300−1−i3−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ260ζ14−ζ26−ζ14+ζ26ζ11+ζ29−ζ11−ζ29ζ41+ζ47−ζ41−ζ47−ζ11−ζ29ζ11+ζ29−ζ41−ζ47ζ41+ζ47000000−1+i31−i3−1+i31−i31−i300−1+i3ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ460−ζ10+ζ46ζ10−ζ46ζ13+ζ43−ζ13−ζ43ζ25+ζ31−ζ25−ζ31−ζ13−ζ43ζ13+ζ43−ζ25−ζ31ζ25+ζ31000000
χ832-22-2-2002−22−2202−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000−1−i31+i3−1−i31+i31+i300−1−i3ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ260−ζ14+ζ26ζ14−ζ26ζ41+ζ47−ζ41−ζ47−ζ11−ζ29ζ11+ζ29−ζ41−ζ47ζ41+ζ47ζ11+ζ29−ζ11−ζ29000000−1+i31−i3−1+i31−i31−i300−1+i3−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ460ζ10−ζ46−ζ10+ζ46ζ25+ζ31−ζ25−ζ31−ζ13−ζ43ζ13+ζ43−ζ25−ζ31ζ25+ζ31ζ13+ζ43−ζ13−ζ43000000
χ842-22-2-2002−22−2202−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000−1−i31+i3−1−i31+i31+i300−1−i3ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ260−ζ14+ζ26ζ14−ζ26−ζ41−ζ47ζ41+ζ47ζ11+ζ29−ζ11−ζ29ζ41+ζ47−ζ41−ζ47−ζ11−ζ29ζ11+ζ29000000−1+i31−i3−1+i31−i31−i300−1+i3−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ460ζ10−ζ46−ζ10+ζ46−ζ25−ζ31ζ25+ζ31ζ13+ζ43−ζ13−ζ43ζ25+ζ31−ζ25−ζ31−ζ13−ζ43ζ13+ζ43000000
χ8544-4-40-440000000000000000000000−2−2i3−2−2i32+2i32+2i302+2i3−2−2i30000000000000000000000−2+2i3−2+2i32−2i32−2i302−2i3−2+2i30000000000000000000000
χ864-4-44000022−22−222200000000000000000−2−2i32+2i32+2i3−2−2i30000−2ζ14+2ζ262ζ14−2ζ262ζ14−2ζ26−2ζ14+2ζ2600000000000000000−2+2i32−2i32−2i3−2+2i300002ζ10−2ζ46−2ζ10+2ζ46−2ζ10+2ζ462ζ10−2ζ4600000000000000000
χ874-4-440000−222222−2200000000000000000−2−2i32+2i32+2i3−2−2i300002ζ14−2ζ26−2ζ14+2ζ26−2ζ14+2ζ262ζ14−2ζ2600000000000000000−2+2i32−2i32−2i3−2+2i30000−2ζ10+2ζ462ζ10−2ζ462ζ10−2ζ46−2ζ10+2ζ4600000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.