Finite Group Databasebeta

← Group #13168155

Character table — Group #13168155

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222444444444466666666666612121212121236362222444444444444448888888888121212121212121212121212242424242424727233336666666666666612121212121212121212181818181818181818181818363636363636108108
order1222334466666612121212366612121212121244441212121212121212441212121244366633121266666612121212366612121212121212121212121212121212121212121212121212122222664466666612121212666612121212121244441212121212121212441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-11-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-11-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-11-1
χ6111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-11111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-11111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-11
χ7111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-11
χ8111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1
χ922222-12222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000000022222-12222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000000022222-12222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ1022222-12222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111110000000022222-12222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111110000000022222-12222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-21111111100000000
χ1122222-1-2-222-1-1-121111-1-1-1-1-2-2111122-2-2-1-1-1-111110000000022222-1-2-222-1-1-121111-1-1-1-1-2-2111122-2-2-1-1-1-111110000000022222-1-2-222-1-1-121111-1-1-1-1-2-2111122-2-2-1-1-1-1111100000000
χ1222222-1-2-222-1-1-121111-1-1-1-1-2-21111-2-2221111-1-1-1-10000000022222-1-2-222-1-1-121111-1-1-1-1-2-21111-2-2221111-1-1-1-10000000022222-1-2-222-1-1-121111-1-1-1-1-2-21111-2-2221111-1-1-1-100000000
χ132222-1222-1-1222-12222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1002222-1222-1-1222-12222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1002222-1222-1-1222-12222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100
χ142222-1222-1-1222-12222-1-1-1-1-1-1-1-1-1-1000000000000-2-21111002222-1222-1-1222-12222-1-1-1-1-1-1-1-1-1-1000000000000-2-21111002222-1222-1-1222-12222-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100
χ152222-12-2-2-1-1222-1-2-2-2-2-1-1-1-11111110000000000002-2-1-111002222-12-2-2-1-1222-1-2-2-2-2-1-1-1-11111110000000000002-2-1-111002222-12-2-2-1-1222-1-2-2-2-2-1-1-1-11111110000000000002-2-1-11100
χ162222-12-2-2-1-1222-1-2-2-2-2-1-1-1-1111111000000000000-2211-1-1002222-12-2-2-1-1222-1-2-2-2-2-1-1-1-1111111000000000000-2211-1-1002222-12-2-2-1-1222-1-2-2-2-2-1-1-1-1111111000000000000-2211-1-100
χ1722-2-222002-2-22-2-2000022-2-2000000002-2000022-2-20000000022-2-222002-2-22-2-2000022-2-2000000002-2000022-2-20000000022-2-222002-2-22-2-2000022-2-2000000002-2000022-2-200000000
χ1822-2-222002-2-22-2-2000022-2-200000000-220000-2-2220000000022-2-222002-2-22-2-2000022-2-200000000-220000-2-2220000000022-2-222002-2-22-2-2000022-2-200000000-220000-2-22200000000
χ1922-2-22-1002-21-11-233−3−3-1-1110033−3−3002-233−3−3-1-1110000000022-2-22-1002-21-11-233−3−3-1-1110033−3−3002-233−3−3-1-1110000000022-2-22-1002-21-11-233−3−3-1-1110033−3−3002-233−3−3-1-11100000000
χ2022-2-22-1002-21-11-233−3−3-1-1110033−3−300-22−3−33311-1-10000000022-2-22-1002-21-11-233−3−3-1-1110033−3−300-22−3−33311-1-10000000022-2-22-1002-21-11-233−3−3-1-1110033−3−300-22−3−33311-1-100000000
χ2122-2-22-1002-21-11-2−3−333-1-11100−3−333002-2−3−333-1-1110000000022-2-22-1002-21-11-2−3−333-1-11100−3−333002-2−3−333-1-1110000000022-2-22-1002-21-11-2−3−333-1-11100−3−333002-2−3−333-1-11100000000
χ2222-2-22-1002-21-11-2−3−333-1-11100−3−33300-2233−3−311-1-10000000022-2-22-1002-21-11-2−3−333-1-11100−3−33300-2233−3−311-1-10000000022-2-22-1002-21-11-2−3−333-1-11100−3−33300-2233−3−311-1-100000000
χ232-22-22200-22-2-22-200002-22-20000002-2002-22-20000000000002-22-22200-22-2-22-200002-22-20000002-2002-22-20000000000002-22-22200-22-2-22-200002-22-20000002-2002-22-2000000000000
χ242-22-22200-22-2-22-200002-22-2000000-2200-22-220000000000002-22-22200-22-2-22-200002-22-2000000-2200-22-220000000000002-22-22200-22-2-22-200002-22-2000000-2200-22-22000000000000
χ252-22-22-100-2211-1-23−33−3-11-11003−33−32-200-11-113−33−3000000002-22-22-100-2211-1-23−33−3-11-11003−33−32-200-11-113−33−3000000002-22-22-100-2211-1-23−33−3-11-11003−33−32-200-11-113−33−300000000
χ262-22-22-100-2211-1-23−33−3-11-11003−33−3-22001-11-1−33−33000000002-22-22-100-2211-1-23−33−3-11-11003−33−3-22001-11-1−33−33000000002-22-22-100-2211-1-23−33−3-11-11003−33−3-22001-11-1−33−3300000000
χ272-22-22-100-2211-1-2−33−33-11-1100−33−332-200-11-11−33−33000000002-22-22-100-2211-1-2−33−33-11-1100−33−332-200-11-11−33−33000000002-22-22-100-2211-1-2−33−33-11-1100−33−332-200-11-11−33−3300000000
χ282-22-22-100-2211-1-2−33−33-11-1100−33−33-22001-11-13−33−3000000002-22-22-100-2211-1-2−33−33-11-1100−33−33-22001-11-13−33−3000000002-22-22-100-2211-1-2−33−33-11-1100−33−33-22001-11-13−33−300000000
χ292-2-22222-2-2-22-2-222-2-222-2-222-22-2-22000000000000000000002-2-22222-2-2-22-2-222-2-222-2-222-22-2-22000000000000000000002-2-22222-2-2-22-2-222-2-222-2-222-22-2-2200000000000000000000
χ302-2-2222-22-2-22-2-22-222-22-2-22-22-222-2000000000000000000002-2-2222-22-2-22-2-22-222-22-2-22-22-222-2000000000000000000002-2-2222-22-2-22-2-22-222-22-2-22-22-222-200000000000000000000
χ312-2-222-12-2-2-2-1112-111-1-111-12-2-111-100003−3−33−333−3000000002-2-222-12-2-2-2-1112-111-1-111-12-2-111-100003−3−33−333−3000000002-2-222-12-2-2-2-1112-111-1-111-12-2-111-100003−3−33−333−300000000
χ322-2-222-12-2-2-2-1112-111-1-111-12-2-111-10000−333−33−3−33000000002-2-222-12-2-2-2-1112-111-1-111-12-2-111-10000−333−33−3−33000000002-2-222-12-2-2-2-1112-111-1-111-12-2-111-10000−333−33−3−3300000000
χ332-2-222-1-22-2-2-11121-1-11-111-1-221-1-1100003−3−333−3−33000000002-2-222-1-22-2-2-11121-1-11-111-1-221-1-1100003−3−333−3−33000000002-2-222-1-22-2-2-11121-1-11-111-1-221-1-1100003−3−333−3−3300000000
χ342-2-222-1-22-2-2-11121-1-11-111-1-221-1-110000−333−3−333−3000000002-2-222-1-22-2-2-11121-1-11-111-1-221-1-110000−333−3−333−3000000002-2-222-1-22-2-2-11121-1-11-111-1-221-1-110000−333−3−333−300000000
χ352-2-22-122-2112-2-2-12-2-22-111-1-11-111-100000000000000−i3i3−i3i3002-2-22-122-2112-2-2-12-2-22-111-1-11-111-100000000000000−i3i3−i3i3002-2-22-122-2112-2-2-12-2-22-111-1-11-111-100000000000000−i3i3−i3i300
χ362-2-22-122-2112-2-2-12-2-22-111-1-11-111-100000000000000i3−i3i3−i3002-2-22-122-2112-2-2-12-2-22-111-1-11-111-100000000000000i3−i3i3−i3002-2-22-122-2112-2-2-12-2-22-111-1-11-111-100000000000000i3−i3i3−i300
χ372-2-22-12-22112-2-2-1-222-2-111-11-11-1-1100000000000000−i3i3i3−i3002-2-22-12-22112-2-2-1-222-2-111-11-11-1-1100000000000000−i3i3i3−i3002-2-22-12-22112-2-2-1-222-2-111-11-11-1-1100000000000000−i3i3i3−i300
χ382-2-22-12-22112-2-2-1-222-2-111-11-11-1-1100000000000000i3−i3−i3i3002-2-22-12-22112-2-2-1-222-2-111-11-11-1-1100000000000000i3−i3−i3i3002-2-22-12-22112-2-2-1-222-2-111-11-11-1-1100000000000000i3−i3−i3i300
χ394444-2-244-2-2-2-2-2-2-2-2-2-21111-2-21111000000000000000000004444-2-244-2-2-2-2-2-2-2-2-2-21111-2-21111000000000000000000004444-2-244-2-2-2-2-2-2-2-2-2-21111-2-2111100000000000000000000
χ404444-2-2-4-4-2-2-2-2-2-22222111122-1-1-1-1000000000000000000004444-2-2-4-4-2-2-2-2-2-22222111122-1-1-1-1000000000000000000004444-2-2-4-4-2-2-2-2-2-22222111122-1-1-1-100000000000000000000
χ4144-4-4-2400-22-44-420000-2-2220000000000000000000000000044-4-4-2400-22-44-420000-2-2220000000000000000000000000044-4-4-2400-22-44-420000-2-22200000000000000000000000000
χ4244-4-4-2-200-222-2222323−23−2311-1-100−3−3330000000000000000000044-4-4-2-200-222-2222323−23−2311-1-100−3−3330000000000000000000044-4-4-2-200-222-2222323−23−2311-1-100−3−33300000000000000000000
χ4344-4-4-2-200-222-222−23−23232311-1-10033−3−30000000000000000000044-4-4-2-200-222-222−23−23232311-1-10033−3−30000000000000000000044-4-4-2-200-222-222−23−23232311-1-10033−3−300000000000000000000
χ444-44-4-24002-2-4-4420000-22-22000000000000000000000000004-44-4-24002-2-4-4420000-22-22000000000000000000000000004-44-4-24002-2-4-4420000-22-2200000000000000000000000000
χ454-44-4-2-2002-222-2223−2323−231-11-100−33−33000000000000000000004-44-4-2-2002-222-2223−2323−231-11-100−33−33000000000000000000004-44-4-2-2002-222-2223−2323−231-11-100−33−3300000000000000000000
χ464-44-4-2-2002-222-22−2323−23231-11-1003−33−3000000000000000000004-44-4-2-2002-222-22−2323−23231-11-1003−33−3000000000000000000004-44-4-2-2002-222-22−2323−23231-11-1003−33−300000000000000000000
χ474-4-44-2-24-422-222-2-222-21-1-11-221-1-11000000000000000000004-4-44-2-24-422-222-2-222-21-1-11-221-1-11000000000000000000004-4-44-2-24-422-222-2-222-21-1-11-221-1-1100000000000000000000
χ484-4-44-2-2-4422-222-22-2-221-1-112-2-111-1000000000000000000004-4-44-2-2-4422-222-22-2-221-1-112-2-111-1000000000000000000004-4-44-2-2-4422-222-22-2-221-1-112-2-111-100000000000000000000
χ49111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ501111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ521111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ53111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-11-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-11-1-111-11
χ54111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-11111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111111-111-1-11-1
χ55111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-11-1-1111-1
χ56111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-11-111-1-1-11
χ5722222-12222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000000022222-12222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-2-2-2-21-2-2-2-2111-211111111-2-21111-2-2-2-21111111100000000
χ5822222-12222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111110000000022222-12222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-21111111100000000-2-2-2-2-21-2-2-2-2111-211111111-2-211112222-1-1-1-1-1-1-1-100000000
χ5922222-1-2-222-1-1-121111-1-1-1-1-2-2111122-2-2-1-1-1-111110000000022222-1-2-222-1-1-121111-1-1-1-1-2-2111122-2-2-1-1-1-1111100000000-2-2-2-2-2122-2-2111-2-1-1-1-1111122-1-1-1-1-2-2221111-1-1-1-100000000
χ6022222-1-2-222-1-1-121111-1-1-1-1-2-21111-2-2221111-1-1-1-10000000022222-1-2-222-1-1-121111-1-1-1-1-2-21111-2-2221111-1-1-1-100000000-2-2-2-2-2122-2-2111-2-1-1-1-1111122-1-1-1-122-2-2-1-1-1-1111100000000
χ612222-1222-1-1222-12222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1002222-1222-1-1222-12222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100-2-2-2-21-2-2-211-2-2-21-2-2-2-21111111111000000000000-2-2111100
χ622222-1222-1-1222-12222-1-1-1-1-1-1-1-1-1-1000000000000-2-21111002222-1222-1-1222-12222-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100-2-2-2-21-2-2-211-2-2-21-2-2-2-2111111111100000000000022-1-1-1-100
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Here i is the imaginary unit (i² = −1).