Finite Group Databasebeta

← Group #11920249

Character table — Group #11920249

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444666666668888888888881212121212121212161616161616161616161616161616161616181818183636363636363636363636363636
order122222344446666612121212444444449991818181818181818181212121212121212181818181818363636363636363636363636888844444444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ41111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ51111-1-1111-1-1111-1-111-1-111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1
χ61111-1-1111-1-1111-1-111-1-111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111-1-11-1-111111-1-1-1-111-1-111-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111-1-11-1-111111-1-1-1-111-1-111-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1
χ91-1-111-11i−ii−i-1-111-1i−ii−ii−ii−i1-11-1111111-1-1-1-1-1-1i−ii−i1-11-1111-1-1-1iii−i−i−iiii−i−i−i11-1-1i−ii−i1-11-11-1i−ii−i
χ101-1-111-11i−ii−i-1-111-1i−ii−ii−ii−i1-11-1111111-1-1-1-1-1-1i−ii−i1-11-1111-1-1-1iii−i−i−iiii−i−i−i-1-111−ii−ii-11-11-11−ii−ii
χ111-1-111-11−ii−ii-1-111-1−ii−ii−ii−ii1-11-1111111-1-1-1-1-1-1−ii−ii1-11-1111-1-1-1−i−i−iiii−i−i−iiii11-1-1−ii−ii1-11-11-1−ii−ii
χ121-1-111-11−ii−ii-1-111-1−ii−ii−ii−ii1-11-1111111-1-1-1-1-1-1−ii−ii1-11-1111-1-1-1−i−i−iiii−i−i−iiii-1-111i−ii−i-11-11-11i−ii−i
χ131-1-11-111i−i−ii-1-11-11i−i−iii−i−ii-111-1111111-1-1-1-1-1-1i−i−ii1-1-11-1-1-1111iii−i−i−i−i−i−iiii11-1-1i−i−ii1-1-11-11i−i−ii
χ141-1-11-111i−i−ii-1-11-11i−i−iii−i−ii-111-1111111-1-1-1-1-1-1i−i−ii1-1-11-1-1-1111iii−i−i−i−i−i−iiii-1-111−iii−i-111-11-1−iii−i
χ151-1-11-111−iii−i-1-11-11−iii−i−iii−i-111-1111111-1-1-1-1-1-1−iii−i1-1-11-1-1-1111−i−i−iiiiiii−i−i−i11-1-1−iii−i1-1-11-11−iii−i
χ161-1-11-111−iii−i-1-11-11−iii−i−iii−i-111-1111111-1-1-1-1-1-1−iii−i1-1-11-1-1-1111−i−i−iiiiiii−i−i−i-1-111i−i−ii-111-11-1i−i−ii
χ172222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ182222222-2-2-2-222222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1111111111111000000000000000000
χ19222222-12222-1-1-1-1-1-1-1-1-122222222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000000000
χ20222222-12222-1-1-1-1-1-1-1-1-122222222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-1-1-1-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000000000000
χ21222222-12222-1-1-1-1-1-1-1-1-122222222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-1-1-1-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000000000000000
χ22222222-1-2-2-2-2-1-1-1-1-11111-2-2-2-22222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ681111-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000000000
χ23222222-1-2-2-2-2-1-1-1-1-11111-2-2-2-22222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ681111-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000000000000
χ24222222-1-2-2-2-2-1-1-1-1-11111-2-2-2-22222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ521111-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000000000000
χ252222-2-2222-2-2222-2-222-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-2111111-1-1-1-1-1-1111111000000000000000000
χ262222-2-22-2-222222-2-2-2-222-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2111111111111-1-1-1-1-1-1000000000000000000
χ272222-2-2-122-2-2-1-1-111-1-11122-2-2-2-222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1-111-1-111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000000000
χ282222-2-2-122-2-2-1-1-111-1-11122-2-2-2-222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-111-1-111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000000000000
χ292222-2-2-122-2-2-1-1-111-1-11122-2-2-2-222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-111-1-111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000000000000
χ302222-2-2-1-2-222-1-1-11111-1-1-2-222-2-222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6811-1-1-1-111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000000000
χ312222-2-2-1-2-222-1-1-11111-1-1-2-222-2-222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6811-1-1-1-111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000000000000
χ322222-2-2-1-2-222-1-1-11111-1-1-2-222-2-222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5211-1-1-1-111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000000000000000
χ332-2-222-222i−2i2i−2i-2-222-22i−2i2i−2i2i−2i2i−2i2-22-2-1-1-1-1-1-11111112i−2i2i−2i2-22-2-1-1-1111−i−i−iiii−i−i−iiii000000000000000000
χ342-2-222-22−2i2i−2i2i-2-222-2−2i2i−2i2i−2i2i−2i2i2-22-2-1-1-1-1-1-1111111−2i2i−2i2i2-22-2-1-1-1111iii−i−i−iiii−i−i−i000000000000000000
χ352-2-222-2-12i−2i2i−2i11-1-11−ii−ii2i−2i2i−2i2-22-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ii−ii-11-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22000000000000000000
χ362-2-222-2-12i−2i2i−2i11-1-11−ii−ii2i−2i2i−2i2-22-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ii−ii-11-11ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70000000000000000000
χ372-2-222-2-12i−2i2i−2i11-1-11−ii−ii2i−2i2i−2i2-22-2−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ii−ii-11-11−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70000000000000000000
χ382-2-222-2-1−2i2i−2i2i11-1-11i−ii−i−2i2i−2i2i2-22-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68i−ii−i-11-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22000000000000000000
χ392-2-222-2-1−2i2i−2i2i11-1-11i−ii−i−2i2i−2i2i2-22-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68i−ii−i-11-11ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70000000000000000000
χ402-2-222-2-1−2i2i−2i2i11-1-11i−ii−i−2i2i−2i2i2-22-2−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52i−ii−i-11-11−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70000000000000000000
χ412-2-22-2222i−2i−2i2i-2-22-222i−2i−2i2i2i−2i−2i2i-222-2-1-1-1-1-1-11111112i−2i−2i2i2-2-22111-1-1-1−i−i−iiiiiii−i−i−i000000000000000000
χ422-2-22-222−2i2i2i−2i-2-22-22−2i2i2i−2i−2i2i2i−2i-222-2-1-1-1-1-1-1111111−2i2i2i−2i2-2-22111-1-1-1iii−i−i−i−i−i−iiii000000000000000000
χ432-2-22-22-12i−2i−2i2i11-11-1−iii−i2i−2i−2i2i-222-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−iii−i-111-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22000000000000000000
χ442-2-22-22-12i−2i−2i2i11-11-1−iii−i2i−2i−2i2i-222-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−iii−i-111-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70000000000000000000
χ452-2-22-22-12i−2i−2i2i11-11-1−iii−i2i−2i−2i2i-222-2−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−iii−i-111-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70000000000000000000
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χ848-88-800-400004-4400000000000000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ6800000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.