Finite Group Databasebeta

← Group #14298638

Character table — Group #14298638

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size112222222444444444444444444444444444444444444444444448888888888888888888888888888888888881010101020202020202020202020202020202020202020202020120120120120120120120120
order1222236664444445661010101212121212121212121212121515202020203030303030306060606060606060101020202020202020202020303030306060606060606060606060606060606060606060222222444466666666121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ511111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii
χ811111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i
χ9111111111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ10111111111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ11111111111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii
χ12111111111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i
χ13111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ14111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ15111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−i
χ16111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii
χ1722222-1-1-1-12222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1822222-1-1-1-12222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2111111111111111100000000
χ1922222-1-1-1-122-2-2-2-22-1-1222-1-1-1-111111111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111222222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000
χ2022222-1-1-1-122-2-2-2-22-1-1222-1-1-1-111111111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000
χ2122222-1-1-1-1-2-222-2-22-1-12221111-1-1-1-11111-1-1-2-2-2-2-1-1-1-1-1-11111111122-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111112222-2-222-2-2-1-1-1-11111-1-1-1-1111100000000
χ2222222-1-1-1-1-2-222-2-22-1-12221111-1-1-1-11111-1-1-2-2-2-2-1-1-1-1-1-11111111122-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-2-2-222-2-2221111-1-1-1-11111-1-1-1-100000000
χ2322222-1-1-1-1-2-2-2-2222-1-122211111111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111122-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-12222-2-2-2-222-1-1-1-111111111-1-1-1-100000000
χ2422222-1-1-1-1-2-2-2-2222-1-122211111111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111122-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-2-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000
χ25222-2-222-2-200002i−2i22-22-2-2000000002i2i−2i−2i22000022-2-2-2-2000000002-20000002i2i−2i−2i22-2-20000000000002i2i2i2i−2i−2i−2i−2i22-2-200002i−2i22-2-2000000002i2i−2i−2i00000000
χ26222-2-222-2-200002i−2i22-22-2-2000000002i2i−2i−2i22000022-2-2-2-2000000002-20000002i2i−2i−2i22-2-20000000000002i2i2i2i−2i−2i−2i−2i-2-2220000−2i2i-2-22200000000−2i−2i2i2i00000000
χ27222-2-222-2-20000−2i2i22-22-2-200000000−2i−2i2i2i22000022-2-2-2-2000000002-2000000−2i−2i2i2i22-2-2000000000000−2i−2i−2i−2i2i2i2i2i22-2-20000−2i2i22-2-200000000−2i−2i2i2i00000000
χ28222-2-222-2-20000−2i2i22-22-2-200000000−2i−2i2i2i22000022-2-2-2-2000000002-2000000−2i−2i2i2i22-2-2000000000000−2i−2i−2i−2i2i2i2i2i-2-22200002i−2i-2-222000000002i2i−2i−2i00000000
χ29222-2-2-1-11100002i−2i2-112-2-2−i3−i3i3i333−3−3−i−iii-1-10000-1-11111−i3−i3−i3−i3i3i3i3i32-20000002i2i−2i−2i-1-111−i3−i3i3i33333−3−3−3−3−i−i−i−iiiii22-2-200002i−2i-1-111−i3−i3i3i333−3−3−i−iii00000000
χ30222-2-2-1-11100002i−2i2-112-2-2−i3−i3i3i333−3−3−i−iii-1-10000-1-11111−i3−i3−i3−i3i3i3i3i32-20000002i2i−2i−2i-1-111−i3−i3i3i33333−3−3−3−3−i−i−i−iiiii-2-2220000−2i2i11-1-1i3i3−i3−i3−3−333ii−i−i00000000
χ31222-2-2-1-11100002i−2i2-112-2-2i3i3−i3−i3−3−333−i−iii-1-10000-1-11111i3i3i3i3−i3−i3−i3−i32-20000002i2i−2i−2i-1-111i3i3−i3−i3−3−3−3−33333−i−i−i−iiiii22-2-200002i−2i-1-111i3i3−i3−i3−3−333−i−iii00000000
χ32222-2-2-1-11100002i−2i2-112-2-2i3i3−i3−i3−3−333−i−iii-1-10000-1-11111i3i3i3i3−i3−i3−i3−i32-20000002i2i−2i−2i-1-111i3i3−i3−i3−3−3−3−33333−i−i−i−iiiii-2-2220000−2i2i11-1-1−i3−i3i3i333−3−3ii−i−i00000000
χ33222-2-2-1-1110000−2i2i2-112-2-2−i3−i3i3i3−3−333ii−i−i-1-10000-1-11111−i3−i3−i3−i3i3i3i3i32-2000000−2i−2i2i2i-1-111−i3−i3i3i3−3−3−3−33333iiii−i−i−i−i22-2-20000−2i2i-1-111−i3−i3i3i3−3−333ii−i−i00000000
χ34222-2-2-1-1110000−2i2i2-112-2-2−i3−i3i3i3−3−333ii−i−i-1-10000-1-11111−i3−i3−i3−i3i3i3i3i32-2000000−2i−2i2i2i-1-111−i3−i3i3i3−3−3−3−33333iiii−i−i−i−i-2-22200002i−2i11-1-1i3i3−i3−i333−3−3−i−iii00000000
χ35222-2-2-1-1110000−2i2i2-112-2-2i3i3−i3−i333−3−3ii−i−i-1-10000-1-11111i3i3i3i3−i3−i3−i3−i32-2000000−2i−2i2i2i-1-111i3i3−i3−i33333−3−3−3−3iiii−i−i−i−i22-2-20000−2i2i-1-111i3i3−i3−i333−3−3ii−i−i00000000
χ36222-2-2-1-1110000−2i2i2-112-2-2i3i3−i3−i333−3−3ii−i−i-1-10000-1-11111i3i3i3i3−i3−i3−i3−i32-2000000−2i−2i2i2i-1-111i3i3−i3−i33333−3−3−3−3iiii−i−i−i−i-2-22200002i−2i11-1-1−i3−i3i3i3−3−333−i−iii00000000
χ3722-22-222-2-2002i−2i002-222-2-200002i−2i2i−2i000022000022-2-2-2-200000000-22002i2i−2i−2i0000-2-22200002i2i−2i−2i2i2i−2i−2i000000002-22-2002i−2i002-22-200002i−2i2i−2i000000000000
χ3822-22-222-2-2002i−2i002-222-2-200002i−2i2i−2i000022000022-2-2-2-200000000-22002i2i−2i−2i0000-2-22200002i2i−2i−2i2i2i−2i−2i00000000-22-2200−2i2i00-22-220000−2i2i−2i2i000000000000
χ3922-22-222-2-200−2i2i002-222-2-20000−2i2i−2i2i000022000022-2-2-2-200000000-2200−2i−2i2i2i0000-2-2220000−2i−2i2i2i−2i−2i2i2i000000002-22-200−2i2i002-22-20000−2i2i−2i2i000000000000
χ4022-22-222-2-200−2i2i002-222-2-20000−2i2i−2i2i000022000022-2-2-2-200000000-2200−2i−2i2i2i0000-2-2220000−2i−2i2i2i−2i−2i2i2i00000000-22-22002i−2i00-22-2200002i−2i2i−2i000000000000
χ4122-22-2-1-111002i−2i0021-12-2-2−i3i3−i3i3−ii−ii3−33−3-1-10000-1-11111−i3−i3−i3−i3i3i3i3i3-22002i2i−2i−2i000011-1-1i3i3−i3−i3−i−iii−i−iii33−3−333−3−32-22-2002i−2i00-11-11−i3i3−i3i3−ii−ii3−33−300000000
χ4222-22-2-1-111002i−2i0021-12-2-2−i3i3−i3i3−ii−ii3−33−3-1-10000-1-11111−i3−i3−i3−i3i3i3i3i3-22002i2i−2i−2i000011-1-1i3i3−i3−i3−i−iii−i−iii33−3−333−3−3-22-2200−2i2i001-11-1i3−i3i3−i3i−ii−i−33−3300000000
χ4322-22-2-1-111002i−2i0021-12-2-2i3−i3i3−i3−ii−ii−33−33-1-10000-1-11111i3i3i3i3−i3−i3−i3−i3-22002i2i−2i−2i000011-1-1−i3−i3i3i3−i−iii−i−iii−3−333−3−3332-22-2002i−2i00-11-11i3−i3i3−i3−ii−ii−33−3300000000
χ4422-22-2-1-111002i−2i0021-12-2-2i3−i3i3−i3−ii−ii−33−33-1-10000-1-11111i3i3i3i3−i3−i3−i3−i3-22002i2i−2i−2i000011-1-1−i3−i3i3i3−i−iii−i−iii−3−333−3−333-22-2200−2i2i001-11-1−i3i3−i3i3i−ii−i3−33−300000000
χ4522-22-2-1-11100−2i2i0021-12-2-2−i3i3−i3i3i−ii−i−33−33-1-10000-1-11111−i3−i3−i3−i3i3i3i3i3-2200−2i−2i2i2i000011-1-1i3i3−i3−i3ii−i−iii−i−i−3−333−3−3332-22-200−2i2i00-11-11−i3i3−i3i3i−ii−i−33−3300000000
χ4622-22-2-1-11100−2i2i0021-12-2-2−i3i3−i3i3i−ii−i−33−33-1-10000-1-11111−i3−i3−i3−i3i3i3i3i3-2200−2i−2i2i2i000011-1-1i3i3−i3−i3ii−i−iii−i−i−3−333−3−333-22-22002i−2i001-11-1i3−i3i3−i3−ii−ii3−33−300000000
χ4722-22-2-1-11100−2i2i0021-12-2-2i3−i3i3−i3i−ii−i3−33−3-1-10000-1-11111i3i3i3i3−i3−i3−i3−i3-2200−2i−2i2i2i000011-1-1−i3−i3i3i3ii−i−iii−i−i33−3−333−3−32-22-200−2i2i00-11-11i3−i3i3−i3i−ii−i3−33−300000000
χ4822-22-2-1-11100−2i2i0021-12-2-2i3−i3i3−i3i−ii−i3−33−3-1-10000-1-11111i3i3i3i3−i3−i3−i3−i3-2200−2i−2i2i2i000011-1-1−i3−i3i3i3ii−i−iii−i−i33−3−333−3−3-22-22002i−2i001-11-1−i3i3−i3i3−ii−ii−33−3300000000
χ4922-2-2222222-200002-2-22222-2-220000000022222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000002-2-222-200002-2-222-2-220000000000000000
χ5022-2-2222222-200002-2-22222-2-220000000022222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-222-2-220000-222-2-222-20000000000000000
χ5122-2-222222-2200002-2-2222-222-20000000022-2-2-2-2222222-2-2-2-2-2-2-2-2-2-22200000000-2-2-2-2222200000000000000002-2-22-2200002-2-22-222-20000000000000000
χ5222-2-222222-2200002-2-2222-222-20000000022-2-2-2-2222222-2-2-2-2-2-2-2-2-2-22200000000-2-2-2-222220000000000000000-222-22-20000-222-22-2-220000000000000000
χ5322-2-22-1-1-1-12-20000211222-111-1−i3i3i3−i3−i3i3i3−i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000011111111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i32-2-222-20000-111-1-111-1−i3i3i3−i3−i3i3i3−i300000000
χ5422-2-22-1-1-1-12-20000211222-111-1−i3i3i3−i3−i3i3i3−i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000011111111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-222-2-2200001-1-111-1-11i3−i3−i3i3i3−i3−i3i300000000
χ5522-2-22-1-1-1-12-20000211222-111-1i3−i3−i3i3i3−i3−i3i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000011111111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i32-2-222-20000-111-1-111-1i3−i3−i3i3i3−i3−i3i300000000
χ5622-2-22-1-1-1-12-20000211222-111-1i3−i3−i3i3i3−i3−i3i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000011111111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-222-2-2200001-1-111-1-11−i3i3i3−i3−i3i3i3−i300000000
χ5722-2-22-1-1-1-1-2200002112221-1-11−i3i3i3−i3i3−i3−i3i3-1-1-2-2-2-2-1-1-1-1-1-111111111-2-222000000001111-1-1-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i32-2-22-220000-111-11-1-11−i3i3i3−i3i3−i3−i3i300000000
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χ1238-8000-444i3−4i3000000-200225−250000000000001+i151−i15−2ζ7+2ζ11−2ζ19+2ζ23+2ζ31+2ζ43−2ζ47−2ζ592ζ7−2ζ11+2ζ19−2ζ23−2ζ31−2ζ43+2ζ47+2ζ592ζ7+2ζ11−2ζ19−2ζ23+2ζ31−2ζ43+2ζ47−2ζ59−2ζ7−2ζ11+2ζ19+2ζ23−2ζ31+2ζ43−2ζ47+2ζ59−1−i15−1+i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ19−2ζ23−2ζ31+2ζ47−2ζ19+2ζ23+2ζ31−2ζ47−2ζ7−2ζ11+2ζ43+2ζ592ζ7+2ζ11−2ζ43−2ζ592ζ19+2ζ23−2ζ31−2ζ47−2ζ19−2ζ23+2ζ31+2ζ472ζ7−2ζ11−2ζ43+2ζ59−2ζ7+2ζ11+2ζ43−2ζ590000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.