Finite Group Databasebeta

← Group #11801991

Character table — Group #11801991

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order12222222222233666666666666663444466666666666666622222222444444446666121212121212121212121212121212124444444444444444666666661212121212121212444412121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ1011111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ1111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-1
χ1211111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ1311111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ1411111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111
χ1511111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-111
χ1611111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ171-111-1-11-111-1-1111-1-1111-1-1-111-1-1-11i−ii−i11-1-111-1-1111-1-1-1-111-1-111-1-1ii−i−iii−i−i11-1-1ii−i−ii−ii−iii−i−iii−i−iiiii−i−i−i−ii−ii−i1-11-111-1-111-1-1ii−i−iii−i−iii−i−ii−ii−i1-11-11-11-1
χ181-111-1-11-111-1-1111-1-1111-1-1-111-1-1-11i−ii−i11-1-111-1-1111-1-1-1-111-1-111-1-1−i−iii−i−iii11-1-1ii−i−ii−ii−iii−i−iii−i−i−i−i−i−iiiiii−ii−i-11-1111-1-111-1-1−i−iii−i−iii−i−iiii−ii−i-11-11-11-11
χ191-111-1-11-111-1-1111-1-1111-1-1-111-1-1-11i−ii−i11-1-111-1-1111-1-1-1-1-1-111-1-111ii−i−iii−i−i11-1-1ii−i−ii−ii−iii−i−iii−i−i−i−i−i−iiiii−ii−ii1-11-1-1-111-1-111ii−i−iii−i−i−i−iii−ii−ii1-11-1-11-11
χ201-111-1-11-111-1-1111-1-1111-1-1-111-1-1-11i−ii−i11-1-111-1-1111-1-1-1-1-1-111-1-111−i−iii−i−iii11-1-1ii−i−ii−ii−iii−i−iii−i−iiiii−i−i−i−i−ii−ii-11-11-1-111-1-111−i−iii−i−iiiii−i−i−ii−ii-11-111-11-1
χ211-111-1-11-111-1-1111-1-1111-1-1-111-1-1-11−ii−ii11-1-111-1-1111-1-1-1-111-1-111-1-1ii−i−iii−i−i11-1-1−i−iii−ii−ii−i−iii−i−iiiiiii−i−i−i−i−ii−ii-11-1111-1-111-1-1ii−i−iii−i−iii−i−i−ii−ii-11-11-11-11
χ221-111-1-11-111-1-1111-1-1111-1-1-111-1-1-11−ii−ii11-1-111-1-1111-1-1-1-111-1-111-1-1−i−iii−i−iii11-1-1−i−iii−ii−ii−i−iii−i−iii−i−i−i−iiiii−ii−ii1-11-111-1-111-1-1−i−iii−i−iii−i−iii−ii−ii1-11-11-11-1
χ231-111-1-11-111-1-1111-1-1111-1-1-111-1-1-11−ii−ii11-1-111-1-1111-1-1-1-1-1-111-1-111ii−i−iii−i−i11-1-1−i−iii−ii−ii−i−iii−i−iii−i−i−i−iiiiii−ii−i-11-11-1-111-1-111ii−i−iii−i−i−i−iiii−ii−i-11-111-11-1
χ241-111-1-11-111-1-1111-1-1111-1-1-111-1-1-11−ii−ii11-1-111-1-1111-1-1-1-1-1-111-1-111−i−iii−i−iii11-1-1−i−iii−ii−ii−i−iii−i−iiiiiii−i−i−i−ii−ii−i1-11-1-1-111-1-111−i−iii−i−iiiii−i−ii−ii−i1-11-1-11-11
χ251-111-1-11-1-1-111111-1-1111-1-1-111-1-1-11i−i−ii-1-111-1-111111-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-111ii−i−i−ii−iiii−i−i−i−iiiiiii−i−i−i−ii−i−ii1-1-1111-1-1-1-111ii−i−i−i−iii−i−iiii−i−ii1-1-11-111-1
χ261-111-1-11-1-1-111111-1-1111-1-1-111-1-1-11i−i−ii-1-111-1-111111-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-111ii−i−i−ii−iiii−i−i−i−iii−i−i−i−iiiiii−i−ii-111-111-1-1-1-111−i−iiiii−i−iii−i−ii−i−ii-111-11-1-11
χ271-111-1-11-1-1-111111-1-1111-1-1-111-1-1-11i−i−ii-1-111-1-111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i−ii−iiii−i−i−i−iii−i−i−i−iiiii−iii−i1-1-11-1-11111-1-1ii−i−i−i−iiiii−i−i−iii−i1-1-111-1-11
χ281-111-1-11-1-1-111111-1-1111-1-1-111-1-1-11i−i−ii-1-111-1-111111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-111ii−i−i−ii−iiii−i−i−i−iiiiiii−i−i−i−i−iii−i-111-1-1-11111-1-1−i−iiiii−i−i−i−iii−iii−i-111-1-111-1
χ291-111-1-11-1-1-111111-1-1111-1-1-111-1-1-11−iii−i-1-111-1-111111-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-111−i−iiii−ii−i−i−iiiii−i−iiiii−i−i−i−i−iii−i-111-111-1-1-1-111ii−i−i−i−iii−i−iii−iii−i-111-11-1-11
χ301-111-1-11-1-1-111111-1-1111-1-1-111-1-1-11−iii−i-1-111-1-111111-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-111−i−iiii−ii−i−i−iiiii−i−i−i−i−i−iiiii−iii−i1-1-1111-1-1-1-111−i−iiiii−i−iii−i−i−iii−i1-1-11-111-1
χ311-111-1-11-1-1-111111-1-1111-1-1-111-1-1-11−iii−i-1-111-1-111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-111−i−iiii−ii−i−i−iiiii−i−i−i−i−i−iiiiii−i−ii-111-1-1-11111-1-1ii−i−i−i−iiiii−i−ii−i−ii-111-1-111-1
χ321-111-1-11-1-1-111111-1-1111-1-1-111-1-1-11−iii−i-1-111-1-111111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-111−i−iiii−ii−i−i−iiiii−i−iiiii−i−i−i−ii−i−ii1-1-11-1-11111-1-1−i−iiiii−i−i−i−iiii−i−ii1-1-111-1-11
χ332222222222222-1222-1-1-12-1-122-1-12-122222222-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-12-12-1-1-122-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ342222222222222-1222-1-1-12-1-122-1-12-122222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-12-12-1-1-122-1-1-1-1-1-1-1-100000000-2-2-2-2000011111111000000000000111100000000
χ352222222222222-1222-1-1-12-1-122-1-12-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-21-2111-2-21111111100000000-2-2-2-20000-1-1-1-1-1-1-1-1000000000000111100000000
χ362222222222222-1222-1-1-12-1-122-1-12-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-21-2111-2-211111111000000002222000011111111000000000000-1-1-1-100000000
χ37222222222222-12-1-1-1222-122-1-122-1-12222-1-1-1-12222-1-1-1-1-1-1-10000000022222222-1-1-1-1-12-1222-1-1-1-1-1-1-1-1-1-1000000000000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ38222222222222-12-1-1-1222-122-1-122-1-12222-1-1-1-12222-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-1-12-1222-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000111111110000000011110000
χ39222222222222-12-1-1-1222-122-1-122-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-10000000022222222-1-1-1-11-21-2-2-21111111111000000000000-2-2-2-200000000-1-1-1-1-1-1-1-10000000011110000
χ40222222222222-12-1-1-1222-122-1-122-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-11-21-2-2-211111111110000000000002222000000001111111100000000-1-1-1-10000
χ4122222222-2-2-2-22-1222-1-1-12-1-122-1-12-122-2-2-2-2-2-21111-1-1-1-1-1-1-12222-2-2-2-20000000011112-12-111-2-2-1-1-1-111110000000022-2-20000-1-1-1-11111000000000000-1-11100000000
χ4222222222-2-2-2-22-1222-1-1-12-1-122-1-12-122-2-2-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-222220000000011112-12-111-2-2-1-1-1-1111100000000-2-22200001111-1-1-1-100000000000011-1-100000000
χ4322222222-2-2-2-22-1222-1-1-12-1-122-1-12-1-2-222-2-2-2-21111-1-1-1-1-1-1-12222-2-2-2-2000000001111-21-21-1-1221111-1-1-1-100000000-2-2220000-1-1-1-1111100000000000011-1-100000000
χ4422222222-2-2-2-22-1222-1-1-12-1-122-1-12-1-2-222-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-22222000000001111-21-21-1-1221111-1-1-1-10000000022-2-200001111-1-1-1-1000000000000-1-11100000000
χ4522222222-2-2-2-2-12-1-1-1222-122-1-122-1-122-2-21111-2-2-2-2-1-1-1-1-1-1-1000000002222-2-2-2-21111-12-12-2-211-1-1-1-1111100000000000022-2-200000000-1-1-1-1111100000000-1-1110000
χ4622222222-2-2-2-2-12-1-1-1222-122-1-122-1-122-2-21111-2-2-2-2-1-1-1-1-1-1-100000000-2-2-2-222221111-12-12-2-211-1-1-1-11111000000000000-2-222000000001111-1-1-1-10000000011-1-10000
χ4722222222-2-2-2-2-12-1-1-1222-122-1-122-1-1-2-2221111-2-2-2-2-1-1-1-1-1-1-1000000002222-2-2-2-211111-21-222-1-11111-1-1-1-1000000000000-2-22200000000-1-1-1-111110000000011-1-10000
χ4822222222-2-2-2-2-12-1-1-1222-122-1-122-1-1-2-2221111-2-2-2-2-1-1-1-1-1-1-100000000-2-2-2-2222211111-21-222-1-11111-1-1-1-100000000000022-2-2000000001111-1-1-1-100000000-1-1110000
χ49222-22-2-2-2000022-22-22-2-222-22-22-2-220000000000002-2-22-22-200002-22-200002i−2i2i−2i000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000002-22-200002i−2i2i−2i0000000000000000
χ50222-22-2-2-2000022-22-22-2-222-22-22-2-220000000000002-2-22-22-200002-22-20000−2i2i−2i2i00000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000002-22-20000−2i2i−2i2i0000000000000000
χ51222-22-2-2-2000022-22-22-2-222-22-22-2-220000000000002-2-22-22-20000-22-2200002i−2i2i−2i00000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000-22-2200002i−2i2i−2i0000000000000000
χ52222-22-2-2-2000022-22-22-2-222-22-22-2-220000000000002-2-22-22-20000-22-220000−2i2i−2i2i000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000-22-220000−2i2i−2i2i0000000000000000
χ5322-22-22-2-2000022-2-22-22-222-2-22-22-22000000000000-22-2-222-22-22-200002i−2i2i−2i0000000000000000000000002i−2i2i−2i2i−2i2i−2i000000002-22-200002i−2i2i−2i00000000000000000000
χ5422-22-22-2-2000022-2-22-22-222-2-22-22-22000000000000-22-2-222-22-22-20000−2i2i−2i2i000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000002-22-20000−2i2i−2i2i00000000000000000000
χ5522-22-22-2-2000022-2-22-22-222-2-22-22-22000000000000-22-2-222-2-22-2200002i−2i2i−2i000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000-22-2200002i−2i2i−2i00000000000000000000
χ5622-22-22-2-2000022-2-22-22-222-2-22-22-22000000000000-22-2-222-2-22-220000−2i2i−2i2i0000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000-22-220000−2i2i−2i2i00000000000000000000
χ5722-2-2-2-2222-22-2222-2-2-2-22222-2-2-2-22200002-22-22-22-2-2-22-2-22200000000000000002-22-200000000000000002-2-222-2-220000000000000000000000002-22-2000000000000
χ5822-2-2-2-2222-22-2222-2-2-2-22222-2-2-2-22200002-22-22-22-2-2-22-2-22200000000000000002-22-20000000000000000-222-2-222-2000000000000000000000000-22-22000000000000
χ5922-2-2-2-222-22-22222-2-2-2-22222-2-2-2-2220000-22-22-22-22-2-22-2-2220000000000000000-22-2200000000000000002-2-222-2-22000000000000000000000000-22-22000000000000
χ6022-2-2-2-222-22-22222-2-2-2-22222-2-2-2-2220000-22-22-22-22-2-22-2-2220000000000000000-22-220000000000000000-222-2-222-20000000000000000000000002-22-2000000000000
χ612-222-2-22-222-2-22-12-2-2-1-1-1-2112211-2-12i−2i2i−2i22-2-2-1-111-1-1-1111122-2-222-2-200000000-1-1112i−i−2ii−ii2i−2i−i−iii−i−iii000000002i−2i2i−2i0000-1-111-1-111000000000000−ii−ii00000000
χ622-222-2-22-222-2-22-12-2-2-1-1-1-2112211-2-12i−2i2i−2i22-2-2-1-111-1-1-11111-2-222-2-22200000000-1-1112i−i−2ii−ii2i−2i−i−iii−i−iii00000000−2i2i−2i2i000011-1-111-1-1000000000000i−ii−i00000000
χ632-222-2-22-222-2-22-12-2-2-1-1-1-2112211-2-1−2i2i−2i2i22-2-2-1-111-1-1-1111122-2-222-2-200000000-1-111−2ii2i−ii−i−2i2iii−i−iii−i−i00000000−2i2i−2i2i0000-1-111-1-111000000000000i−ii−i00000000
χ642-222-2-22-222-2-22-12-2-2-1-1-1-2112211-2-1−2i2i−2i2i22-2-2-1-111-1-1-11111-2-222-2-22200000000-1-111−2ii2i−ii−i−2i2iii−i−iii−i−i000000002i−2i2i−2i000011-1-111-1-1000000000000−ii−ii00000000
χ652-222-2-22-222-2-2-12-1112221-2-2-1-1-2-21-12i−2i2i−2i-1-11122-2-2-1-1-11111000000002i2i−2i−2i2i2i−2i−2i-1-111−i2ii−2i2i−2i−ii−i−iii−i−iii0000000000002-22-200000000−i−iii−i−iii00000000-11-110000
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χ742-222-2-22-2-2-222-12-1112221-2-2-1-1-2-21-12i−2i−2i2i11-1-1-2-222-1-1-1111100000000−2i−2i2i2i2i2i−2i−2i11-1-1−i2ii−2i−2i2ii−i−i−iiiii−i−i000000000000-222-200000000ii−i−i−i−iii000000001-1-110000
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χ1284-4-4-4444-4-444-4-2-2-2-2-222-222222-2-22100002-2-222-2-22-1-1111-1-10000000000000000-111-100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000000000
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χ1318-88-8-88-880000-4-444-4-44444-4-444-4-420000000000002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-888-8-880000-4-44-444-4444-44-4-44-42000000000000-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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