Finite Group Databasebeta

← Group #11747472

Character table — Group #11747472

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888101010101010101012121212121212121212121220202020202020202424242460606060
order1222344556661010101010104412121212121215152020202030303030303020202020606060606060606060606060444412121212448840404040404040402266661212202020204488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ6111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ7111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111
χ8111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1
χ91-1-1111-1111-1-1-1-111-1-1i−i1-1ii−i−i11-1-111-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−ii−iii−i−ii−i1-11111-1-1-1-11-111-1-1i−iii−i−i1-1i−i
χ101-1-1111-1111-1-1-1-111-1-1i−i1-1ii−i−i11-1-111-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−ii−iii−i−i−ii-11-1-1-1-111111-111-1-1i−i−i−iii-11−ii
χ111-1-1111-1111-1-1-1-111-1-1i−i1-1ii−i−i11-1-111-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i−ii−ii−i−iiii−i1-11111-1-1-1-1-11-1-111−iiii−i−i-11−ii
χ121-1-1111-1111-1-1-1-111-1-1i−i1-1ii−i−i11-1-111-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i−ii−ii−i−iii−ii-11-1-1-1-11111-11-1-111−ii−i−iii1-1i−i
χ131-1-1111-1111-1-1-1-111-1-1−ii1-1−i−iii11-1-111-1-111-1-1−i−iii11-1-1−i−i−i−iiiiii−ii−iii−i−ii−i-11-1-1-1-11111-11-1-111i−iii−i−i1-1−ii
χ141-1-1111-1111-1-1-1-111-1-1−ii1-1−i−iii11-1-111-1-111-1-1−i−iii11-1-1−i−i−i−iiiiii−ii−iii−i−i−ii1-11111-1-1-1-1-11-1-111i−i−i−iii-11i−i
χ151-1-1111-1111-1-1-1-111-1-1−ii1-1−i−iii11-1-111-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii−ii−i−iiii−i-11-1-1-1-111111-111-1-1−iiii−i−i-11i−i
χ161-1-1111-1111-1-1-1-111-1-1−ii1-1−i−iii11-1-111-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii−ii−i−iii−ii1-11111-1-1-1-11-111-1-1−ii−i−iii1-1−ii
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+520000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−520000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000000022-2-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+520000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200000000-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−520000
χ212222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−520000
χ222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+520000
χ232222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000000022-2-21−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−520000
χ242222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+520000
χ2522222-2-22222222222200-2-2000022-2-2-2-22222220000-2-2-2-20000000022-2-2-2-2-2-20000000000000000002200000000
χ2622222-2-22222222222200-2-2000022-2-2-2-22222220000-2-2-2-200000000-2-2222222000000000000000000-2-200000000
χ272222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000000022-1-1-1-1-1-100000000
χ282222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111000000000000-2-211111100000000
χ292222-12222-1-1-1222222-2-2-1-11111-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111112222-1-1-1-1000000000000-2-21111-1-100000000
χ302222-12222-1-1-1222222-2-2-1-11111-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2111100000000000022-1-1-1-11100000000
χ312222-1-2-222-1-1-12222220011−i3i3−i3i3-1-1-2-2-2-2-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i322-2-2111100000000000000−i3i3−i3i3-1-100000000
χ322222-1-2-222-1-1-12222220011−i3i3−i3i3-1-1-2-2-2-2-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i3-2-222-1-1-1-100000000000000i3−i3i3−i31100000000
χ332222-1-2-222-1-1-12222220011i3−i3i3−i3-1-1-2-2-2-2-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i322-2-2111100000000000000i3−i3i3−i3-1-100000000
χ342222-1-2-222-1-1-12222220011i3−i3i3−i3-1-1-2-2-2-2-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i3-2-222-1-1-1-100000000000000−i3i3−i3i31100000000
χ352-2-2222-2−1−52−1+522-2-21+521−52−1−52−1+521+521−522i−2i2-22i2i−2i−2i−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94000000002i−2i2-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ940000
χ362-2-2222-2−1−52−1+522-2-21+521−52−1−52−1+521+521−522i−2i2-22i2i−2i−2i−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ9400000000−2i2i-221+521+521−521−52−1−52−1−52−1+52−1+5200000000ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ940000
χ372-2-2222-2−1−52−1+522-2-21+521−52−1−52−1+521+521−52−2i2i2-2−2i−2i2i2i−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94000000002i−2i-221+521+521−521−52−1−52−1−52−1+52−1+5200000000−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ940000
χ382-2-2222-2−1−52−1+522-2-21+521−52−1−52−1+521+521−52−2i2i2-2−2i−2i2i2i−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ9400000000−2i2i2-2−1−52−1−52−1+52−1+521+521+521−521−5200000000ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ940000
χ392-2-2222-2−1+52−1−522-2-21−521+52−1+52−1−521−521+522i−2i2-22i2i−2i−2i−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118000000002i−2i2-2−1+52−1+52−1−52−1−521−521−521+521+5200000000−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ1180000
χ402-2-2222-2−1+52−1−522-2-21−521+52−1+52−1−521−521+522i−2i2-22i2i−2i−2i−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ11800000000−2i2i-221−521−521+521+52−1+52−1+52−1−52−1−5200000000ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ1180000
χ412-2-2222-2−1+52−1−522-2-21−521+52−1+52−1−521−521+52−2i2i2-2−2i−2i2i2i−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118000000002i−2i-221−521−521+521+52−1+52−1+52−1−52−1−5200000000−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ1180000
χ422-2-2222-2−1+52−1−522-2-21−521+52−1+52−1−521−521+52−2i2i2-2−2i−2i2i2i−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ11800000000−2i2i2-2−1+52−1+52−1−52−1−521−521−521+521+5200000000ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ1180000
χ432-2-222-22222-2-2-2-222-2-200-2200002222-2-2-2-222-2-20000-2-222000000002i−2i−2i2i−2i−2i2i2i0000000000000000002i−2i00000000
χ442-2-222-22222-2-2-2-222-2-200-2200002222-2-2-2-222-2-20000-2-22200000000−2i2i2i−2i2i2i−2i−2i000000000000000000−2i2i00000000
χ452-2-22-12-222-111-2-222-2-22i−2i-11−i−iii-1-1-2-22211-1-1112i2i−2i−2i-1-111−i−i−i−iiiii2i−2i2i−2i−i−iii0000000000002-2-1-111−ii00000000
χ462-2-22-12-222-111-2-222-2-22i−2i-11−i−iii-1-1-2-22211-1-1112i2i−2i−2i-1-111−i−i−i−iiiii−2i2i−2i2iii−i−i000000000000-2211-1-1i−i00000000
χ472-2-22-12-222-111-2-222-2-2−2i2i-11ii−i−i-1-1-2-22211-1-111−2i−2i2i2i-1-111iiii−i−i−i−i2i−2i2i−2i−i−iii000000000000-2211-1-1−ii00000000
χ482-2-22-12-222-111-2-222-2-2−2i2i-11ii−i−i-1-1-2-22211-1-111−2i−2i2i2i-1-111iiii−i−i−i−i−2i2i−2i2iii−i−i0000000000002-2-1-111i−i00000000
χ492-2-22-1-2222-111-2-222-2-2001-13−3−33-1-122-2-211-1-111000011-1-13−33−3−33−332i−2i−2i2iii−i−i00000000000000−i3i3i3−i3−ii00000000
χ502-2-22-1-2222-111-2-222-2-2001-13−3−33-1-122-2-211-1-111000011-1-13−33−3−33−33−2i2i2i−2i−i−iii00000000000000i3−i3−i3i3i−i00000000
χ512-2-22-1-2222-111-2-222-2-2001-1−333−3-1-122-2-211-1-111000011-1-1−33−333−33−32i−2i−2i2iii−i−i00000000000000i3−i3−i3i3−ii00000000
χ522-2-22-1-2222-111-2-222-2-2001-1−333−3-1-122-2-211-1-111000011-1-1−33−333−33−3−2i2i2i−2i−i−iii00000000000000−i3i3i3−i3i−i00000000
χ5344444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+500-4-40000−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+500001+51−51+51−500000000000000000000000000000000000000000000
χ5444444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−500-4-40000−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−500001−51+51−51+500000000000000000000000000000000000000000000
χ554444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+544-2-2-2-2-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521−521+521−52−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−521+521+521−521−52000000000000000000000000000000000000
χ564444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-4-2-222221+521−52−1−5−1+5−1−5−1+51+521−521+521−521+521−521+51−51+51−51+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000000000
χ574444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−544-2-2-2-2-2-21−521+52−1+5−1−5−1+5−1−51−521+521−521+521−521+52−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+521−521−521+521+52000000000000000000000000000000000000
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χ594444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+50022−2i32i3−2i32i31+521−521+51−51+51−51+521−521+521−521+521−520000−1−52−1+52−1−52−1+52ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116000000000000000000000000000000000000
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χ754-44-4-2004422-2-4-4-4-44400000000-2-200002222-2-200000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ764-44-4-2004422-2-4-4-4-44400000000-2-200002222-2-2000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ774-4-444-44−1−5−1+54-4-41+51−5−1−5−1+51+51−500-440000−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+51+51−500001+51−5−1−5−1+500000000000000000000000000000000000000000000
χ784-4-444-44−1+5−1−54-4-41−51+5−1+5−1−51−51+500-440000−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−51−51+500001−51+5−1+5−1−500000000000000000000000000000000000000000000
χ794-4-44-24-4−1−5−1+5-2221+51−5−1−5−1+51+51−54i−4i-22−2i−2i2i2i1+521−521+51−5−1−5−1+5−1−52−1+521+521−52−1−52−1+52−2ζ22−2ζ38−2ζ62−2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ1182ζ14+2ζ46+2ζ86+2ζ941+521−52−1−52−1+52ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94000000000000000000000000000000000000
χ804-4-44-24-4−1−5−1+5-2221+51−5−1−5−1+51+51−5−4i4i-222i2i−2i−2i1+521−521+51−5−1−5−1+5−1−52−1+521+521−52−1−52−1+522ζ22+2ζ38+2ζ62+2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ118−2ζ14−2ζ46−2ζ86−2ζ941+521−52−1−52−1+52−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94000000000000000000000000000000000000
χ814-4-44-24-4−1+5−1−5-2221−51+5−1+5−1−51−51+54i−4i-22−2i−2i2i2i1−521+521−51+5−1+5−1−5−1+52−1−521−521+52−1+52−1−52−2ζ14−2ζ46−2ζ86−2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ942ζ22+2ζ38+2ζ62+2ζ1181−521+52−1+52−1−52ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118000000000000000000000000000000000000
χ824-4-44-24-4−1+5−1−5-2221−51+5−1+5−1−51−51+5−4i4i-222i2i−2i−2i1−521+521−51+5−1+5−1−5−1+52−1−521−521+52−1+52−1−522ζ14+2ζ46+2ζ86+2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ94−2ζ22−2ζ38−2ζ62−2ζ1181−521+52−1+52−1−52−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118000000000000000000000000000000000000
χ834-4-44-2-44−1−5−1+5-2221+51−5−1−5−1+51+51−5002-223−23−23231+521−52−1−5−1+51+51−5−1−52−1+521+521−52−1−52−1+520000−1−52−1+521+521−52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94000000000000000000000000000000000000
χ844-4-44-2-44−1−5−1+5-2221+51−5−1−5−1+51+51−5002-2−232323−231+521−52−1−5−1+51+51−5−1−52−1+521+521−52−1−52−1+520000−1−52−1+521+521−52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94000000000000000000000000000000000000
χ854-4-44-2-44−1+5−1−5-2221−51+5−1+5−1−51−51+5002-223−23−23231−521+52−1+5−1−51−51+5−1+52−1−521−521+52−1+52−1−520000−1+52−1−521−521+52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000000000000000000000000000000
χ864-4-44-2-44−1+5−1−5-2221−51+5−1+5−1−51−51+5002-2−232323−231−521+52−1+5−1−51−51+5−1+52−1−521−521+52−1+52−1−520000−1+52−1−521−521+52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118000000000000000000000000000000000000
χ8788-8-8-400−2−25−2+254-44−2−25−2+252+252−252+252−25000000001+51−500001+51−5−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000
χ8888-8-8-400−2+25−2−254-44−2+25−2−252−252+252−252+25000000001−51+500001−51+5−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000
χ898-88-8-400−2−25−2+2544-42+252−252+252−25−2−25−2+25000000001+51−50000−1−5−1+5−1−5−1+51+51−50000000000000000000000000000000000000000000000000000
χ908-88-8-400−2+25−2−2544-42−252+252−252+25−2+25−2−25000000001−51+50000−1+5−1−5−1+5−1−51−51+50000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.