Finite Group Databasebeta

← Group #14305188

Character table — Group #14305188

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222244444444444444444444555588888888888888888888888810101010101016161616161616161616161620202020202020204040404040406060606060606060120120120120
order122234466658810101012121515242424243030303030302222441212121220204040404060606060120120120120120120120120446666202020206060606060606060881212242424244412121212444488884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i
χ6111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111i−ii−iii−i−i−i−iii
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−ii−ii−i−iiiii−i−i
χ911111111111-1-11111111-1-1-1-111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11-111-1-11111-1-1-1-11-11-1
χ1011111111111-1-11111111-1-1-1-111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-1-11111-11-11
χ1111111111111-1-11111111-1-1-1-11111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-1-11-1-1111111-1-1-1-1-11-11
χ1211111111111-1-11111111-1-1-1-11111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-1-1-111111-11-1
χ1311111111111-1-11111111-1-1-1-1111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-11-1-111i−ii−i−i−iiii−i−ii
χ1411111111111-1-11111111-1-1-1-1111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-11-1-111−ii−iiii−i−i−iii−i
χ1511111111111-1-11111111-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111111-111-1-1i−ii−i−i−iii−iii−i
χ1611111111111-1-11111111-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111111-111-1-1−ii−iiii−i−ii−i−ii
χ1722222-2-2222200222-2-22200002222222222000000-2-20000-2-2-2-200000000-2-2222200000000000000-2-2000000000022-2-200000000
χ1822222-2-2222200222-2-22200002222222222000000-2-20000-2-2-2-200000000-2-2222200000000000000-2-20000000000-2-22200000000
χ1922222-2-2222200222-2-2220000222222-2-2-2-2000000-2-20000-2-2-2-20000000022-2-2-2-2000000000000002200000000002i−2i−2i2i00000000
χ2022222-2-2222200222-2-2220000222222-2-2-2-2000000-2-20000-2-2-2-20000000022-2-2-2-200000000000000220000000000−2i2i2i−2i00000000
χ212222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ222222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-21111111122-1-1-1-1-1-1-2-21111000000000000
χ232222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-2-2111111-2-21111000000000000
χ242222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-211111111-2-211111122-1-1-1-1000000000000
χ252222-122-1-1-12-2-2222-1-1-1-11111-1-1-1-1-1-122222-2-1-11122-2-2-2-2-1-1-1-11111111122-1-1-1-122-2-2-1-1-1-11111-2-2-1-111112-2-1-111000000000000
χ262222-122-1-1-12-2-2222-1-1-1-11111-1-1-1-1-1-12222-2211-1-122-2-2-2-2-1-1-1-11111111122-1-1-1-1-2-2221111-1-1-1-1-2-2-1-11111-2211-1-1000000000000
χ272222-122-1-1-12-2-2222-1-1-1-11111-1-1-1-1-1-1-2-2-2-22-2-1-11122-2-2-2-2-1-1-1-111111111-2-2111122-2-2-1-1-1-111112211-1-1-1-1-2211-1-1000000000000
χ282222-122-1-1-12-2-2222-1-1-1-11111-1-1-1-1-1-1-2-2-2-2-2211-1-122-2-2-2-2-1-1-1-111111111-2-21111-2-2221111-1-1-1-12211-1-1-1-12-2-1-111000000000000
χ2922-2-222-22-2-22002-2-22-222000022-2-2-2-222-2-20000002-2000022-2-200000000-2222-2-2000000000000002-2000000000000002-22-20000
χ3022-2-222-22-2-22002-2-22-222000022-2-2-2-222-2-20000002-2000022-2-200000000-2222-2-2000000000000002-200000000000000-22-220000
χ3122-2-222-22-2-22002-2-22-222000022-2-2-2-2-2-2220000002-2000022-2-2000000002-2-2-22200000000000000-22000000000000002i−2i−2i2i0000
χ3222-2-222-22-2-22002-2-22-222000022-2-2-2-2-2-2220000002-2000022-2-2000000002-2-2-22200000000000000-2200000000000000−2i2i2i−2i0000
χ3322-2-22-222-2-222-22-2-2-222222-2-222-2-2-2-222-2-2000000-2222-2-2-2-2222222-2-2-2-22-222-2-20000000000002-2-2222-2-2000000000000000000
χ3422-2-22-222-2-222-22-2-2-222222-2-222-2-2-2-2-2-222000000-2222-2-2-2-2222222-2-2-2-2-22-2-222000000000000-222-2-2-222000000000000000000
χ3522-2-22-222-2-22-222-2-2-2222-2-22222-2-2-2-222-2-2000000-22-2-222-2-222-2-2-2-222222-222-2-2000000000000-22-22-2-222000000000000000000
χ3622-2-22-222-2-22-222-2-2-2222-2-22222-2-2-2-2-2-222000000-22-2-222-2-222-2-2-2-22222-22-2-2220000000000002-22-222-2-2000000000000000000
χ3722-2-2-1-22-11122-22-2-21-1-1-1-1-111-1-1111122-2-2003−33−3-2222-2-211-1-1-1-1-1-111112-2-1-111000033−3−333−3−32-21-1-1-111003−33−3000000000000
χ3822-2-2-1-22-11122-22-2-21-1-1-1-1-111-1-1111122-2-200−33−33-2222-2-211-1-1-1-1-1-111112-2-1-1110000−3−333−3−3332-21-1-1-11100−33−33000000000000
χ3922-2-2-1-22-11122-22-2-21-1-1-1-1-111-1-11111-2-222003−33−3-2222-2-211-1-1-1-1-1-11111-2211-1-1000033−3−333−3−3-22-1111-1-100−33−33000000000000
χ4022-2-2-1-22-11122-22-2-21-1-1-1-1-111-1-11111-2-22200−33−33-2222-2-211-1-1-1-1-1-11111-2211-1-10000−3−333−3−333-22-1111-1-1003−33−3000000000000
χ4122-2-2-1-22-1112-222-2-21-1-1-111-1-1-1-1111122-2-2003−3−33-22-2-22211-1-11111-1-1-1-12-2-1-111000033−3−3−3−333-221-111-1-1003−3−33000000000000
χ4222-2-2-1-22-1112-222-2-21-1-1-111-1-1-1-1111122-2-200−333−3-22-2-22211-1-11111-1-1-1-12-2-1-1110000−3−33333−3−3-221-111-1-100−333−3000000000000
χ4322-2-2-1-22-1112-222-2-21-1-1-111-1-1-1-11111-2-222003−3−33-22-2-22211-1-11111-1-1-1-1-2211-1-1000033−3−3−3−3332-2-11-1-11100−333−3000000000000
χ4422-2-2-1-22-1112-222-2-21-1-1-111-1-1-1-11111-2-22200−333−3-22-2-22211-1-11111-1-1-1-1-2211-1-10000−3−33333−3−32-2-11-1-111003−3−33000000000000
χ454444444444-144-1-1-144-1-14444-1-1-1-1-1-10000444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ464444444444-144-1-1-144-1-14444-1-1-1-1-1-10000-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000011111111111100000000000000000000000000
χ474444444444-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-100004-444-4-4-1-11111-1-1-1-111111111000000-1-111-1-1-1-1111100000000000000000000000000
χ484444444444-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-10000-44-4-444-1-11111-1-1-1-11111111100000011-1-11111-1-1-1-100000000000000000000000000
χ494444-244-2-2-2-144-1-1-1-2-21−i1521+i152-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i152000044-2-2-2-2-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000000000000000000
χ504444-244-2-2-2-144-1-1-1-2-21−i1521+i152-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i1520000-4-42222-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520000001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000000000000000000000000
χ514444-244-2-2-2-144-1-1-1-2-21+i1521−i152-2-2-2-21+i1521−i1521+i1521+i1521−i1521−i152000044-2-2-2-2-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152000000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000000000000000000
χ524444-244-2-2-2-144-1-1-1-2-21+i1521−i152-2-2-2-21+i1521−i1521+i1521+i1521−i1521−i1520000-4-42222-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520000001111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000000000000000000000000
χ534444-244-2-2-2-1-4-4-1-1-1-2-21−i1521+i15222221−i1521+i1521−i1521−i1521+i1521+i15200004-4-2-222-1-111111−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152000000-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i15200000000000000000000000000
χ544444-244-2-2-2-1-4-4-1-1-1-2-21−i1521+i15222221−i1521+i1521−i1521−i1521+i1521+i1520000-4422-2-2-1-111111−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i15200000011-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i15200000000000000000000000000
χ554444-244-2-2-2-1-4-4-1-1-1-2-21+i1521−i15222221+i1521−i1521+i1521+i1521−i1521−i15200004-4-2-222-1-111111+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152000000-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i15200000000000000000000000000
χ564444-244-2-2-2-1-4-4-1-1-1-2-21+i1521−i15222221+i1521−i1521+i1521+i1521−i1521−i1520000-4422-2-2-1-111111+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i15200000011-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i15200000000000000000000000000
χ574444-2-4-4-2-2-240044422-2-20000-2-2-2-2-2-24444000000-4-40000222200000000-4-4-2-2-2-200000000000000220000000000000000000000
χ584444-2-4-4-2-2-240044422-2-20000-2-2-2-2-2-2-4-4-4-4000000-4-4000022220000000044222200000000000000-2-20000000000000000000000
χ5944-4-44-444-4-4-14-4-111-44-1-144-4-4-1-1111100000000001-1-1-11111-1-1-1-1-1-11111000000−i5i5−i5i5−i5i5i5−i5−i5i5i5−i500000000000000000000000000
χ6044-4-44-444-4-4-14-4-111-44-1-144-4-4-1-1111100000000001-1-1-11111-1-1-1-1-1-11111000000i5−i5i5−i5i5−i5−i5i5i5−i5−i5i500000000000000000000000000
χ6144-4-44-444-4-4-1-44-111-44-1-1-4-444-1-1111100000000001-111-1-111-1-11111-1-1-1-1000000−i5i5i5−i5−i5i5i5−i5i5−i5−i5i500000000000000000000000000
χ6244-4-44-444-4-4-1-44-111-44-1-1-4-444-1-1111100000000001-111-1-111-1-11111-1-1-1-1000000i5−i5−i5i5i5−i5−i5i5−i5i5i5−i500000000000000000000000000
χ6344-4-4-24-4-2224004-4-4-22-2-20000-2-2222244-4-40000004-40000-2-22200000000-44-2-22200000000000000-220000000000000000000000
χ6444-4-4-24-4-2224004-4-4-22-2-20000-2-22222-4-4440000004-40000-2-222000000004-422-2-2000000000000002-20000000000000000000000
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χ6644-4-4-2-44-222-14-4-1112-21−i1521+i152-2-2221−i1521+i152−1+i152−1+i152−1−i152−1−i152000000−2323−23231-1-1-111−1+i152−1−i1521−i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152000000−i5i5−i5i5−ζ14+ζ22−ζ86+ζ118−ζ38+ζ46−ζ62+ζ94ζ14−ζ22+ζ86−ζ118ζ38−ζ46+ζ62−ζ94−ζ14+ζ22−ζ86+ζ118−ζ38+ζ46−ζ62+ζ94ζ14−ζ22+ζ86−ζ118ζ38−ζ46+ζ62−ζ9400000000000000000000000000
χ6744-4-4-2-44-222-14-4-1112-21+i1521−i152-2-2221+i1521−i152−1−i152−1−i152−1+i152−1+i15200000023−2323−231-1-1-111−1−i152−1+i1521+i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152000000−i5i5−i5i5ζ38−ζ46+ζ62−ζ94ζ14−ζ22+ζ86−ζ118−ζ38+ζ46−ζ62+ζ94−ζ14+ζ22−ζ86+ζ118ζ38−ζ46+ζ62−ζ94ζ14−ζ22+ζ86−ζ118−ζ38+ζ46−ζ62+ζ94−ζ14+ζ22−ζ86+ζ11800000000000000000000000000
χ6844-4-4-2-44-222-14-4-1112-21+i1521−i152-2-2221+i1521−i152−1−i152−1−i152−1+i152−1+i152000000−2323−23231-1-1-111−1−i152−1+i1521+i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152000000i5−i5i5−i5−ζ38+ζ46−ζ62+ζ94−ζ14+ζ22−ζ86+ζ118ζ38−ζ46+ζ62−ζ94ζ14−ζ22+ζ86−ζ118−ζ38+ζ46−ζ62+ζ94−ζ14+ζ22−ζ86+ζ118ζ38−ζ46+ζ62−ζ94ζ14−ζ22+ζ86−ζ11800000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.