Finite Group Databasebeta

← Group #13170703

Character table — Group #13170703

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222224444444444446666666699991212121212121212181822224444444444888888888888121212121212121218181818242424242424242436363333666666666612121212121212121212121218181818181818182727272736363636363636365454
order12223344666666366612121212121212122244444444446612121212121244366633121266666636661212121212121212661212121212121212121266121212121212121222226644666666666612121212121212122244444444446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ5111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111
χ6111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1
χ7111111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1
χ8111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ91-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i1-1i−ii−i1-111-1-11-1i−i1-1i−ii−i1-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i1-1i−ii−i1-111-1-11-1i−i1-1i−ii−i1-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i1-1i−ii−i1-111-1-11-1i−i1-1i−ii−i
χ101-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i1-1−iii−i-11-1-1111-1i−i-11−ii−ii1-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i1-1−iii−i-11-1-1111-1i−i-11−ii−ii1-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i1-1−iii−i-11-1-1111-1i−i-11−ii−ii
χ111-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i-11i−i−ii1-1-1-111-11−ii1-1i−i−ii1-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i-11i−i−ii1-1-1-111-11−ii1-1i−i−ii1-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i-11i−i−ii1-1-1-111-11−ii1-1i−i−ii
χ121-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i-11−ii−ii-1111-1-1-11−ii-11−iii−i1-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i-11−ii−ii-1111-1-1-11−ii-11−iii−i1-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i-11−ii−ii-1111-1-1-11−ii-11−iii−i
χ131-11-111−ii-11-11-1-111-1-1−ii−ii−i−iii1-1i−i−ii-11-1-1111-1−ii-11i−ii−i1-11-111−ii-11-11-1-111-1-1−ii−ii−i−iii1-1i−i−ii-11-1-1111-1−ii-11i−ii−i1-11-111−ii-11-11-1-111-1-1−ii−ii−i−iii1-1i−i−ii-11-1-1111-1−ii-11i−ii−i
χ141-11-111−ii-11-11-1-111-1-1−ii−ii−i−iii1-1−ii−ii1-111-1-11-1−ii1-1−ii−ii1-11-111−ii-11-11-1-111-1-1−ii−ii−i−iii1-1−ii−ii1-111-1-11-1−ii1-1−ii−ii1-11-111−ii-11-11-1-111-1-1−ii−ii−i−iii1-1−ii−ii1-111-1-11-1−ii1-1−ii−ii
χ151-11-111−ii-11-11-1-111-1-1−ii−ii−i−iii-11i−ii−i-1111-1-1-11i−i-11i−i−ii1-11-111−ii-11-11-1-111-1-1−ii−ii−i−iii-11i−ii−i-1111-1-1-11i−i-11i−i−ii1-11-111−ii-11-11-1-111-1-1−ii−ii−i−iii-11i−ii−i-1111-1-1-11i−i-11i−i−ii
χ161-11-111−ii-11-11-1-111-1-1−ii−ii−i−iii-11−iii−i1-1-1-111-11i−i1-1−iii−i1-11-111−ii-11-11-1-111-1-1−ii−ii−i−iii-11−iii−i1-1-1-111-11i−i1-1−iii−i1-11-111−ii-11-11-1-111-1-1−ii−ii−i−iii-11−iii−i1-1-1-111-11i−i1-1−iii−i
χ1722222-1222-1-12-12-1-1-1-1-1-122-1-1-1-1220022000000-1-1-1-100000022222-1222-1-12-12-1-1-1-1-1-122-1-1-1-1220022000000-1-1-1-100000022222-1222-1-12-12-1-1-1-1-1-122-1-1-1-1220022000000-1-1-1-1000000
χ1822222-1222-1-12-12-1-1-1-1-1-122-1-1-1-1-2-200-2-2000000111100000022222-1222-1-12-12-1-1-1-1-1-122-1-1-1-1-2-200-2-2000000111100000022222-1222-1-12-12-1-1-1-1-1-122-1-1-1-1-2-200-2-20000001111000000
χ1922222-1-2-22-1-12-12-1-1-1-111-2-211112200-2-2000000-1-11100000022222-1-2-22-1-12-12-1-1-1-111-2-211112200-2-2000000-1-11100000022222-1-2-22-1-12-12-1-1-1-111-2-211112200-2-2000000-1-111000000
χ2022222-1-2-22-1-12-12-1-1-1-111-2-21111-2-2002200000011-1-100000022222-1-2-22-1-12-12-1-1-1-111-2-21111-2-2002200000011-1-100000022222-1-2-22-1-12-12-1-1-1-111-2-21111-2-2002200000011-1-1000000
χ212222-1222-122-12-1-1-1-1-122-1-1-1-1-1-10022002200000000-1-1-1-1002222-1222-122-12-1-1-1-1-122-1-1-1-1-1-10022002200000000-1-1-1-1002222-1222-122-12-1-1-1-1-122-1-1-1-1-1-10022002200000000-1-1-1-100
χ222222-1222-122-12-1-1-1-1-122-1-1-1-1-1-100-2-200-2-2000000001111002222-1222-122-12-1-1-1-1-122-1-1-1-1-1-100-2-200-2-2000000001111002222-1222-122-12-1-1-1-1-122-1-1-1-1-1-100-2-200-2-200000000111100
χ232222-12-2-2-122-12-1-1-1-1-1-2-2111111002200-2-20000000011-1-1002222-12-2-2-122-12-1-1-1-1-1-2-2111111002200-2-20000000011-1-1002222-12-2-2-122-12-1-1-1-1-1-2-2111111002200-2-20000000011-1-100
χ242222-12-2-2-122-12-1-1-1-1-1-2-211111100-2-2002200000000-1-111002222-12-2-2-122-12-1-1-1-1-1-2-211111100-2-2002200000000-1-111002222-12-2-2-122-12-1-1-1-1-1-2-211111100-2-2002200000000-1-11100
χ2522-2-22200-2-22-2-222-2-2200000000000000002i−2i2i−2i000000000022-2-22200-2-22-2-222-2-2200000000000000002i−2i2i−2i000000000022-2-22200-2-22-2-222-2-2200000000000000002i−2i2i−2i0000000000
χ2622-2-22200-2-22-2-222-2-220000000000000000−2i2i−2i2i000000000022-2-22200-2-22-2-222-2-220000000000000000−2i2i−2i2i000000000022-2-22200-2-22-2-222-2-220000000000000000−2i2i−2i2i0000000000
χ272-22-22-12i−2i-2-1121-2-1-111−ii2i−2i−i−iii2-2002i−2i000000-11−ii0000002-22-22-12i−2i-2-1121-2-1-111−ii2i−2i−i−iii2-2002i−2i000000-11−ii0000002-22-22-12i−2i-2-1121-2-1-111−ii2i−2i−i−iii2-2002i−2i000000-11−ii000000
χ282-22-22-12i−2i-2-1121-2-1-111−ii2i−2i−i−iii-2200−2i2i0000001-1i−i0000002-22-22-12i−2i-2-1121-2-1-111−ii2i−2i−i−iii-2200−2i2i0000001-1i−i0000002-22-22-12i−2i-2-1121-2-1-111−ii2i−2i−i−iii-2200−2i2i0000001-1i−i000000
χ292-22-22-1−2i2i-2-1121-2-1-111i−i−2i2iii−i−i2-200−2i2i000000-11i−i0000002-22-22-1−2i2i-2-1121-2-1-111i−i−2i2iii−i−i2-200−2i2i000000-11i−i0000002-22-22-1−2i2i-2-1121-2-1-111i−i−2i2iii−i−i2-200−2i2i000000-11i−i000000
χ302-22-22-1−2i2i-2-1121-2-1-111i−i−2i2iii−i−i-22002i−2i0000001-1−ii0000002-22-22-1−2i2i-2-1121-2-1-111i−i−2i2iii−i−i-22002i−2i0000001-1−ii0000002-22-22-1−2i2i-2-1121-2-1-111i−i−2i2iii−i−i-22002i−2i0000001-1−ii000000
χ312-22-2-122i−2i12-2-1-21-1-1112i−2i−ii−i−iii002i−2i002-200000000-11−ii002-22-2-122i−2i12-2-1-21-1-1112i−2i−ii−i−iii002i−2i002-200000000-11−ii002-22-2-122i−2i12-2-1-21-1-1112i−2i−ii−i−iii002i−2i002-200000000-11−ii00
χ322-22-2-122i−2i12-2-1-21-1-1112i−2i−ii−i−iii00−2i2i00-22000000001-1i−i002-22-2-122i−2i12-2-1-21-1-1112i−2i−ii−i−iii00−2i2i00-22000000001-1i−i002-22-2-122i−2i12-2-1-21-1-1112i−2i−ii−i−iii00−2i2i00-22000000001-1i−i00
χ332-22-2-12−2i2i12-2-1-21-1-111−2i2ii−iii−i−i002i−2i00-22000000001-1−ii002-22-2-12−2i2i12-2-1-21-1-111−2i2ii−iii−i−i002i−2i00-22000000001-1−ii002-22-2-12−2i2i12-2-1-21-1-111−2i2ii−iii−i−i002i−2i00-22000000001-1−ii00
χ342-22-2-12−2i2i12-2-1-21-1-111−2i2ii−iii−i−i00−2i2i002-200000000-11i−i002-22-2-12−2i2i12-2-1-21-1-111−2i2ii−iii−i−i00−2i2i002-200000000-11i−i002-22-2-12−2i2i12-2-1-21-1-111−2i2ii−iii−i−i00−2i2i002-200000000-11i−i00
χ352-2-2222002-2-2-22-22-22-200000000000000002i−2i−2i2i00000000002-2-2222002-2-2-22-22-22-200000000000000002i−2i−2i2i00000000002-2-2222002-2-2-22-22-22-200000000000000002i−2i−2i2i0000000000
χ362-2-2222002-2-2-22-22-22-20000000000000000−2i2i2i−2i00000000002-2-2222002-2-2-22-22-22-20000000000000000−2i2i2i−2i00000000002-2-2222002-2-2-22-22-22-20000000000000000−2i2i2i−2i0000000000
χ374444-2-244-2-2-2-2-2-21111-2-2-2-2111100000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2111100000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-211110000000000000000000000
χ384444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-100000000000000000000004444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-100000000000000000000004444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-10000000000000000000000
χ3944-4-44-200-42-2-424-222-200000000000000000000000000000044-4-44-200-42-2-424-222-200000000000000000000000000000044-4-44-200-42-2-424-222-2000000000000000000000000000000
χ4044-4-4-24002-442-4-2-222-200000000000000000000000000000044-4-4-24002-442-4-2-222-200000000000000000000000000000044-4-4-24002-442-4-2-222-2000000000000000000000000000000
χ4144-4-4-2-20022-222-21-1-1100003-33-3000000000000000000000044-4-4-2-20022-222-21-1-1100003-33-3000000000000000000000044-4-4-2-20022-222-21-1-1100003-33-30000000000000000000000
χ4244-4-4-2-20022-222-21-1-110000-33-33000000000000000000000044-4-4-2-20022-222-21-1-110000-33-33000000000000000000000044-4-4-2-20022-222-21-1-110000-33-330000000000000000000000
χ434-44-4-2-24i−4i2-22-22211-1-1−2i2i−2i2iii−i−i00000000000000000000004-44-4-2-24i−4i2-22-22211-1-1−2i2i−2i2iii−i−i00000000000000000000004-44-4-2-24i−4i2-22-22211-1-1−2i2i−2i2iii−i−i0000000000000000000000
χ444-44-4-2-2−4i4i2-22-22211-1-12i−2i2i−2i−i−iii00000000000000000000004-44-4-2-2−4i4i2-22-22211-1-12i−2i2i−2i−i−iii00000000000000000000004-44-4-2-2−4i4i2-22-22211-1-12i−2i2i−2i−i−iii0000000000000000000000
χ454-4-444-200422-4-2-4-22-220000000000000000000000000000004-4-444-200422-4-2-4-22-220000000000000000000000000000004-4-444-200422-4-2-4-22-22000000000000000000000000000000
χ464-4-44-2400-2-4-4242-22-220000000000000000000000000000004-4-44-2400-2-4-4242-22-220000000000000000000000000000004-4-44-2400-2-4-4242-22-22000000000000000000000000000000
χ474-4-44-2-200-2222-221-11-100003i−3i−3i3i00000000000000000000004-4-44-2-200-2222-221-11-100003i−3i−3i3i00000000000000000000004-4-44-2-200-2222-221-11-100003i−3i−3i3i0000000000000000000000
χ484-4-44-2-200-2222-221-11-10000−3i3i3i−3i00000000000000000000004-4-44-2-200-2222-221-11-10000−3i3i3i−3i00000000000000000000004-4-44-2-200-2222-221-11-10000−3i3i3i−3i0000000000000000000000
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
χ501111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111
χ5111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-111
χ5211111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ53111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1
χ54111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111
χ55111111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-111
χ56111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-111-1-1
χ571-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i1-1i−ii−i1-111-1-11-1i−i1-1i−ii−i1-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i1-1i−ii−i1-111-1-11-1i−i1-1i−ii−i-11-11-1-1−ii1-11-111-1-111−ii−ii−i−iii-11−ii−ii-11-1-111-11−ii-11−ii−ii
χ581-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i1-1−iii−i-11-1-1111-1i−i-11−ii−ii1-11-111i−i-11-11-1-111-1-1i−ii−iii−i−i1-1−iii−i-11-1-1111-1i−i-11−ii−ii-11-11-1-1−ii1-11-111-1-111−ii−ii−i−iii-11i−i−ii1-111-1-1-11−ii1-1i−ii−i
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χ1294-44-4-24−4i4i24-4-2-42-2-222−4i4i2i−2i2i2i−2i−2i004i−4i00-44000000002-2−2i2i00-22-221-22i−2i-1-2212-111-1-12i−2i−ii−i−iii00−2i2i002-200000000-11i−i00000000000000000000000000000000000000000000000000
χ1304-44-4-24−4i4i24-4-2-42-2-222−4i4i2i−2i2i2i−2i−2i00−4i4i004-400000000-222i−2i00-22-221-22i−2i-1-2212-111-1-12i−2i−ii−i−iii002i−2i00-22000000001-1−ii00000000000000000000000000000000000000000000000000
χ1314-4-4444004-4-4-44-44-44-400000000000000004i−4i−4i4i0000000000-222-2-2-200-2222-22-22-220000000000000000−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ1324-4-4444004-4-4-44-44-44-40000000000000000−4i4i4i−4i0000000000-222-2-2-200-2222-22-22-2200000000000000002i−2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ1338888-4-488-4-4-4-4-4-42222-4-4-4-422220000000000000000000000-4-4-4-422-4-4222222-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000
χ1348888-4-4-8-8-4-4-4-4-4-422224444-2-2-2-20000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000000000
χ13588-8-88-400-84-4-848-444-4000000000000000000000000000000-4-444-42004-224-2-42-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-8-48004-884-8-4-444-4000000000000000000000000000000-4-4442-400-24-4-2422-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13788-8-8-4-40044-444-42-2-2200006-66-60000000000000000000000-4-4442200-2-22-2-22-111-10000-33-330000000000000000000000000000000000000000000000000000000000000000000000
χ13888-8-8-4-40044-444-42-2-220000-66-660000000000000000000000-4-4442200-2-22-2-22-111-100003-33-30000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-8-4-48i−8i4-44-44422-2-2−4i4i−4i4i2i2i−2i−2i0000000000000000000000-44-4422−4i4i-22-22-2-2-1-1112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-8-4-4−8i8i4-44-44422-2-24i−4i4i−4i−2i−2i2i2i0000000000000000000000-44-44224i−4i-22-22-2-2-1-111−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000000000000
χ1418-8-888-400844-8-4-8-44-44000000000000000000000000000000-444-4-4200-4-2-24242-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-8-88-4800-4-8-8484-44-44000000000000000000000000000000-444-42-400244-2-4-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-4-400-4444-442-22-200006i−6i−6i6i0000000000000000000000-444-422002-2-2-22-2-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-4-400-4444-442-22-20000−6i6i6i−6i0000000000000000000000-444-422002-2-2-22-2-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).