Finite Group Databasebeta

← Group #14437872

Character table — Group #14437872

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222224444444444444444442424242422224444444444888888888888888888484848482222444444444488888888888888888848484848555510101010101010101010202020202020202020202020202020202020120120120120
order1222344666121212124488881212121224242424242424242444510101015202030303060606060202040404040606060601201201201201201201201201020202051010101520203030306060606020204040404060606060120120120120120120120120102020202222644666121212124488881212121224242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1
χ31111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ511111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-1
χ611111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1
χ922222-2-2222-2-2-2-22-2000022-2-200000000000022222-2-2222-2-2-2-22-2000022-2-200000000000022222-2-2222-2-2-2-22-2000022-2-200000000000022222-2-2222-2-2-2-22-2000022-2-2000000000000
χ1022222-2-2222-2-2-2-2-220000-2-22200000000000022222-2-2222-2-2-2-2-220000-2-22200000000000022222-2-2222-2-2-2-2-220000-2-22200000000000022222-2-2222-2-2-2-2-220000-2-222000000000000
χ112222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000
χ122222-122-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100002222-122-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100002222-122-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100002222-122-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000
χ132222-122-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100002222-122-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100002222-122-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100002222-122-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000
χ142222-122-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100002222-122-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100002222-122-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100002222-122-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000
χ152222-1-2-2-1-1-111112-20000-1-11133−3−333−3−300002222-1-2-2-1-1-111112-20000-1-11133−3−333−3−300002222-1-2-2-1-1-111112-20000-1-11133−3−333−3−300002222-1-2-2-1-1-111112-20000-1-11133−3−333−3−30000
χ162222-1-2-2-1-1-111112-20000-1-111−3−333−3−33300002222-1-2-2-1-1-111112-20000-1-111−3−333−3−33300002222-1-2-2-1-1-111112-20000-1-111−3−333−3−33300002222-1-2-2-1-1-111112-20000-1-111−3−333−3−3330000
χ172222-1-2-2-1-1-11111-22000011-1-133−3−3−3−33300002222-1-2-2-1-1-11111-22000011-1-133−3−3−3−33300002222-1-2-2-1-1-11111-22000011-1-133−3−3−3−33300002222-1-2-2-1-1-11111-22000011-1-133−3−3−3−3330000
χ182222-1-2-2-1-1-11111-22000011-1-1−3−33333−3−300002222-1-2-2-1-1-11111-22000011-1-1−3−33333−3−300002222-1-2-2-1-1-11111-22000011-1-1−3−33333−3−300002222-1-2-2-1-1-11111-22000011-1-1−3−33333−3−30000
χ192-22-222-22-2-222-2-200002i−2i000000002i−2i2i−2i00002-22-222-22-2-222-2-200002i−2i000000002i−2i2i−2i00002-22-222-22-2-222-2-200002i−2i000000002i−2i2i−2i00002-22-222-22-2-222-2-200002i−2i000000002i−2i2i−2i0000
χ202-22-222-22-2-222-2-20000−2i2i00000000−2i2i−2i2i00002-22-222-22-2-222-2-20000−2i2i00000000−2i2i−2i2i00002-22-222-22-2-222-2-20000−2i2i00000000−2i2i−2i2i00002-22-222-22-2-222-2-20000−2i2i00000000−2i2i−2i2i0000
χ212-22-22-222-2-2-2-222002i−2i0000002i−2i2i−2i000000002-22-22-222-2-2-2-222002i−2i0000002i−2i2i−2i000000002-22-22-222-2-2-2-222002i−2i0000002i−2i2i−2i000000002-22-22-222-2-2-2-222002i−2i0000002i−2i2i−2i00000000
χ222-22-22-222-2-2-2-22200−2i2i000000−2i2i−2i2i000000002-22-22-222-2-2-2-22200−2i2i000000−2i2i−2i2i000000002-22-22-222-2-2-2-22200−2i2i000000−2i2i−2i2i000000002-22-22-222-2-2-2-22200−2i2i000000−2i2i−2i2i00000000
χ232-22-2-12-2-111-1-11100002i−2i3−33−3−i3i3i3−i3−ii−ii00002-22-2-12-2-111-1-11100002i−2i3−33−3−i3i3i3−i3−ii−ii00002-22-2-12-2-111-1-11100002i−2i3−33−3−i3i3i3−i3−ii−ii00002-22-2-12-2-111-1-11100002i−2i3−33−3−i3i3i3−i3−ii−ii0000
χ242-22-2-12-2-111-1-11100002i−2i−33−33i3−i3−i3i3−ii−ii00002-22-2-12-2-111-1-11100002i−2i−33−33i3−i3−i3i3−ii−ii00002-22-2-12-2-111-1-11100002i−2i−33−33i3−i3−i3i3−ii−ii00002-22-2-12-2-111-1-11100002i−2i−33−33i3−i3−i3i3−ii−ii0000
χ252-22-2-12-2-111-1-1110000−2i2i3−33−3i3−i3−i3i3i−ii−i00002-22-2-12-2-111-1-1110000−2i2i3−33−3i3−i3−i3i3i−ii−i00002-22-2-12-2-111-1-1110000−2i2i3−33−3i3−i3−i3i3i−ii−i00002-22-2-12-2-111-1-1110000−2i2i3−33−3i3−i3−i3i3i−ii−i0000
χ262-22-2-12-2-111-1-1110000−2i2i−33−33−i3i3i3−i3i−ii−i00002-22-2-12-2-111-1-1110000−2i2i−33−33−i3i3i3−i3i−ii−i00002-22-2-12-2-111-1-1110000−2i2i−33−33−i3i3i3−i3i−ii−i00002-22-2-12-2-111-1-1110000−2i2i−33−33−i3i3i3−i3i−ii−i0000
χ272-22-2-1-22-11111-1-1002i−2i003−3−33−ii−iii3−i3−i3i300002-22-2-1-22-11111-1-1002i−2i003−3−33−ii−iii3−i3−i3i300002-22-2-1-22-11111-1-1002i−2i003−3−33−ii−iii3−i3−i3i300002-22-2-1-22-11111-1-1002i−2i003−3−33−ii−iii3−i3−i3i30000
χ282-22-2-1-22-11111-1-1002i−2i00−333−3−ii−ii−i3i3i3−i300002-22-2-1-22-11111-1-1002i−2i00−333−3−ii−ii−i3i3i3−i300002-22-2-1-22-11111-1-1002i−2i00−333−3−ii−ii−i3i3i3−i300002-22-2-1-22-11111-1-1002i−2i00−333−3−ii−ii−i3i3i3−i30000
χ292-22-2-1-22-11111-1-100−2i2i003−3−33i−ii−i−i3i3i3−i300002-22-2-1-22-11111-1-100−2i2i003−3−33i−ii−i−i3i3i3−i300002-22-2-1-22-11111-1-100−2i2i003−3−33i−ii−i−i3i3i3−i300002-22-2-1-22-11111-1-100−2i2i003−3−33i−ii−i−i3i3i3−i30000
χ302-22-2-1-22-11111-1-100−2i2i00−333−3i−ii−ii3−i3−i3i300002-22-2-1-22-11111-1-100−2i2i00−333−3i−ii−ii3−i3−i3i300002-22-2-1-22-11111-1-100−2i2i00−333−3i−ii−ii3−i3−i3i300002-22-2-1-22-11111-1-100−2i2i00−333−3i−ii−ii3−i3−i3i30000
χ3144-4-4400-44-40000000000000000000000000044-4-4400-44-40000000000000000000000000044-4-4400-44-40000000000000000000000000044-4-4400-44-400000000000000000000000000
χ3244-4-4-2002-2223−2323−23000000000000000000000044-4-4-2002-2223−2323−23000000000000000000000044-4-4-2002-2223−2323−23000000000000000000000044-4-4-2002-2223−2323−230000000000000000000000
χ3344-4-4-2002-22−2323−2323000000000000000000000044-4-4-2002-22−2323−2323000000000000000000000044-4-4-2002-22−2323−2323000000000000000000000044-4-4-2002-22−2323−23230000000000000000000000
χ344-4-44400-4-44000000000000000000000000004-4-44400-4-44000000000000000000000000004-4-44400-4-44000000000000000000000000004-4-44400-4-4400000000000000000000000000
χ354-4-44-20022-223−23−232300000000000000000000004-4-44-20022-223−23−232300000000000000000000004-4-44-20022-223−23−232300000000000000000000004-4-44-20022-223−23−23230000000000000000000000
χ364-4-44-20022-2−232323−2300000000000000000000004-4-44-20022-2−232323−2300000000000000000000004-4-44-20022-2−232323−2300000000000000000000004-4-44-20022-2−232323−230000000000000000000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ391111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111
χ401111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ4111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-11-11
χ4211111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111-11-1
χ4311111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-111-1
χ4411111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11-1-11
χ4522222-2-2222-2-2-2-22-2000022-2-200000000000022222-2-2222-2-2-2-22-2000022-2-200000000000022222-2-2222-2-2-2-22-2000022-2-2000000000000-2-2-2-2-222-2-2-22222-220000-2-222000000000000
χ4622222-2-2222-2-2-2-2-220000-2-22200000000000022222-2-2222-2-2-2-2-220000-2-22200000000000022222-2-2222-2-2-2-2-220000-2-222000000000000-2-2-2-2-222-2-2-222222-2000022-2-2000000000000
χ472222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-21-2-21111111-2-2-2-2-2-21111111111110000
χ482222-122-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100002222-122-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100002222-122-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000-2-2-2-21-2-21111111-2-222221111-1-1-1-1-1-1-1-10000
χ492222-122-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100002222-122-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100002222-122-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000-2-2-2-21-2-2111111122-2-222-1-1-1-11111-1-1-1-10000
χ502222-122-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100002222-122-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100002222-122-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000-2-2-2-21-2-211111112222-2-2-1-1-1-1-1-1-1-111110000
χ512222-1-2-2-1-1-111112-20000-1-11133−3−333−3−300002222-1-2-2-1-1-111112-20000-1-11133−3−333−3−300002222-1-2-2-1-1-111112-20000-1-11133−3−333−3−30000-2-2-2-2122111-1-1-1-1-22000011-1-1−3−333−3−3330000
χ522222-1-2-2-1-1-111112-20000-1-111−3−333−3−33300002222-1-2-2-1-1-111112-20000-1-111−3−333−3−33300002222-1-2-2-1-1-111112-20000-1-111−3−333−3−3330000-2-2-2-2122111-1-1-1-1-22000011-1-133−3−333−3−30000
χ532222-1-2-2-1-1-11111-22000011-1-133−3−3−3−33300002222-1-2-2-1-1-11111-22000011-1-133−3−3−3−33300002222-1-2-2-1-1-11111-22000011-1-133−3−3−3−3330000-2-2-2-2122111-1-1-1-12-20000-1-111−3−33333−3−30000
χ542222-1-2-2-1-1-11111-22000011-1-1−3−33333−3−300002222-1-2-2-1-1-11111-22000011-1-1−3−33333−3−300002222-1-2-2-1-1-11111-22000011-1-1−3−33333−3−30000-2-2-2-2122111-1-1-1-12-20000-1-11133−3−3−3−3330000
χ552-22-222-22-2-222-2-200002i−2i000000002i−2i2i−2i00002-22-222-22-2-222-2-200002i−2i000000002i−2i2i−2i00002-22-222-22-2-222-2-200002i−2i000000002i−2i2i−2i0000-22-22-2-22-222-2-2220000−2i2i00000000−2i2i−2i2i0000
χ562-22-222-22-2-222-2-20000−2i2i00000000−2i2i−2i2i00002-22-222-22-2-222-2-20000−2i2i00000000−2i2i−2i2i00002-22-222-22-2-222-2-20000−2i2i00000000−2i2i−2i2i0000-22-22-2-22-222-2-22200002i−2i000000002i−2i2i−2i0000
χ572-22-22-222-2-2-2-222002i−2i0000002i−2i2i−2i000000002-22-22-222-2-2-2-222002i−2i0000002i−2i2i−2i000000002-22-22-222-2-2-2-222002i−2i0000002i−2i2i−2i00000000-22-22-22-2-22222-2-200−2i2i000000−2i2i−2i2i00000000
χ582-22-22-222-2-2-2-22200−2i2i000000−2i2i−2i2i000000002-22-22-222-2-2-2-22200−2i2i000000−2i2i−2i2i000000002-22-22-222-2-2-2-22200−2i2i000000−2i2i−2i2i00000000-22-22-22-2-22222-2-2002i−2i0000002i−2i2i−2i00000000
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χ1438-8-88-40044-443−43−43430000000000000000000000−2−252+252+25−2−251+500−1−5−1−51+5−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ590000000000000000000000−2+252−252−25−2+251−500−1+5−1+51−52ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ470000000000000000000000000000000000000000000000000000000000
χ1448-8-88-40044-4−434343−430000000000000000000000−2−252+252+25−2−251+500−1−5−1−51+52ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ590000000000000000000000−2+252−252−25−2+251−500−1+5−1+51−5−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ470000000000000000000000000000000000000000000000000000000000

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