Finite Group Databasebeta

← Group #11802480

Character table — Group #11802480

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order1222222233444466666666666666344446666666121212121212121244444444444444441212121212121212121212121212121212121212444444444444444412121212121212121212121212121212444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-111-1-1
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1
χ1711-1-1-11-111111-1-11-1-1-11-1111-11-1-1-11i−ii−i11-1-11-1-111-1-111-1-1ii−i−i11-1-1ii−i−i11-1-1i−iii−i−ii−i11-1-1ii−i−iii−i−iiiii−i−i−i−ii−i1-1i−i1-1ii−i−i11-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-11-1
χ1811-1-1-11-111111-1-11-1-1-11-1111-11-1-1-11i−ii−i11-1-11-1-111-1-111-1-1ii−i−i-1-111ii−i−i-1-111i−iii−i−ii−i11-1-1ii−i−iii−i−i−i−i−i−iiiii−ii1-1−ii1-1ii−i−i-1-111-1-111ii−i−i−i−iii1-11-1−ii−ii-11-11
χ1911-1-1-11-111111-1-11-1-1-11-1111-11-1-1-11i−ii−i11-1-11-1-111-1-111-1-1−i−iii11-1-1−i−iii11-1-1i−iii−i−ii−i11-1-1ii−i−iii−i−i−i−i−i−iiiiii−i-11i−i-11−i−iii11-1-111-1-1−i−iii−i−iii-11-11i−ii−i-11-11
χ2011-1-1-11-111111-1-11-1-1-11-1111-11-1-1-11i−ii−i11-1-11-1-111-1-111-1-1−i−iii-1-111−i−iii-1-111i−iii−i−ii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−ii-11−ii-11−i−iii-1-111-1-111−i−iiiii−i−i-11-11−ii−ii1-11-1
χ2111-1-1-11-111111-1-11-1-1-11-1111-11-1-1-11−ii−ii11-1-11-1-111-1-111-1-1ii−i−i11-1-1ii−i−i11-1-1−ii−i−iii−ii11-1-1−i−iii−i−iiiiiii−i−i−i−i−ii-11−ii-11ii−i−i11-1-111-1-1ii−i−iii−i−i-11-11−ii−ii-11-11
χ2211-1-1-11-111111-1-11-1-1-11-1111-11-1-1-11−ii−ii11-1-11-1-111-1-111-1-1ii−i−i-1-111ii−i−i-1-111−ii−i−iii−ii11-1-1−i−iii−i−iii−i−i−i−iiiiii−i-11i−i-11ii−i−i-1-111-1-111ii−i−i−i−iii-11-11i−ii−i1-11-1
χ2311-1-1-11-111111-1-11-1-1-11-1111-11-1-1-11−ii−ii11-1-11-1-111-1-111-1-1−i−iii11-1-1−i−iii11-1-1−ii−i−iii−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−ii1-1−ii1-1−i−iii11-1-111-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1
χ2411-1-1-11-111111-1-11-1-1-11-1111-11-1-1-11−ii−ii11-1-11-1-111-1-111-1-1−i−iii-1-111−i−iii-1-111−ii−i−iii−ii11-1-1−i−iii−i−iiiiiii−i−i−i−ii−i1-1i−i1-1−i−iii-1-111-1-111−i−iiiii−i−i1-11-1i−ii−i-11-11
χ2511-1-1-11-1111-1-1111-1-1-11-1111-11-1-1-11i−i−ii11-1-11-1-1-1-111-1-111ii−i−i11-1-1−i−iii-1-111−iiii−i−i−ii-1-111ii−i−i−i−iiiiiii−i−i−i−ii−i-11−ii1-1ii−i−i11-1-1-1-111−i−iii−i−iii1-1-11i−i−ii-111-1
χ2611-1-1-11-1111-1-1111-1-1-11-1111-11-1-1-11i−i−ii11-1-11-1-1-1-111-1-111ii−i−i-1-111−i−iii11-1-1−iiii−i−i−ii-1-111ii−i−i−i−iii−i−i−i−iiiii−ii-11i−i1-1ii−i−i-1-11111-1-1−i−iiiii−i−i1-1-11−iii−i1-1-11
χ2711-1-1-11-1111-1-1111-1-1-11-1111-11-1-1-11i−i−ii11-1-11-1-1-1-111-1-111−i−iii11-1-1ii−i−i-1-111−iiii−i−i−ii-1-111ii−i−i−i−iii−i−i−i−iiiiii−i1-1−ii-11−i−iii11-1-1-1-111ii−i−iii−i−i-111-1i−i−ii1-1-11
χ2811-1-1-11-1111-1-1111-1-1-11-1111-11-1-1-11i−i−ii11-1-11-1-1-1-111-1-111−i−iii-1-111ii−i−i11-1-1−iiii−i−i−ii-1-111ii−i−i−i−iiiiiii−i−i−i−i−ii1-1i−i-11−i−iii-1-11111-1-1ii−i−i−i−iii-111-1−iii−i-111-1
χ2911-1-1-11-1111-1-1111-1-1-11-1111-11-1-1-11−iii−i11-1-11-1-1-1-111-1-111ii−i−i11-1-1−i−iii-1-111i−i−i−iiii−i-1-111−i−iiiii−i−iiiii−i−i−i−i−ii1-1i−i-11ii−i−i11-1-1-1-111−i−iii−i−iii-111-1−iii−i1-1-11
χ3011-1-1-11-1111-1-1111-1-1-11-1111-11-1-1-11−iii−i11-1-11-1-1-1-111-1-111ii−i−i-1-111−i−iii11-1-1i−i−i−iiii−i-1-111−i−iiiii−i−i−i−i−i−iiiiii−i1-1−ii-11ii−i−i-1-11111-1-1−i−iiiii−i−i-111-1i−i−ii-111-1
χ3111-1-1-11-1111-1-1111-1-1-11-1111-11-1-1-11−iii−i11-1-11-1-1-1-111-1-111−i−iii11-1-1ii−i−i-1-111i−i−i−iiii−i-1-111−i−iiiii−i−i−i−i−i−iiiii−ii-11i−i1-1−i−iii11-1-1-1-111ii−i−iii−i−i1-1-11−iii−i-111-1
χ3211-1-1-11-1111-1-1111-1-1-11-1111-11-1-1-11−iii−i11-1-11-1-1-1-111-1-111−i−iii-1-111ii−i−i11-1-1i−i−i−iiii−i-1-111−i−iiiii−i−iiiii−i−i−i−ii−i-11−ii1-1−i−iii-1-11111-1-1ii−i−i−i−iii1-1-11i−i−ii1-1-11
χ33222222222-1222222-1-1-122-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-122220000222200002222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000220022000000-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ34222222222-1222222-1-1-122-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-20000-2-2-2-2222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-200-2-20000001111111100000000000011110000
χ35222222222-1222222-1-1-122-1-1222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122220000222200002222-2-2-21-2111-1-1-1-11111111100000000-2-200-2-2000000-1-1-1-1-1-1-1-100000000000011110000
χ36222222222-1222222-1-1-122-1-1222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-20000-2-2-2-2-2-2-21-2111-1-1-1-1111111110000000022002200000011111111000000000000-1-1-1-10000
χ37222222222-1-2-2-2-222-1-1-122-1-1222-1-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2000022220000-2-2-2-2-2-22-12-1111111-1-1-1-11111000000002200-2-2000000-1-1-1-11111000000000000-1-1110000
χ38222222222-1-2-2-2-222-1-1-122-1-1222-1-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-200002222-2-22-12-1111111-1-1-1-1111100000000-2-200220000001111-1-1-1-100000000000011-1-10000
χ39222222222-1-2-2-2-222-1-1-122-1-1222-1-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2000022220000-2-2-2-222-21-21-1-111111111-1-1-1-100000000-2-20022000000-1-1-1-1111100000000000011-1-10000
χ40222222222-1-2-2-2-222-1-1-122-1-1222-1-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-20000222222-21-21-1-111111111-1-1-1-1000000002200-2-20000001111-1-1-1-1000000000000-1-1110000
χ4122222222-122222-1-1222-1-122-1-1-122-12222-1-1-1-1-1-1-12222-1-1-1-12222000022220000-1-1-12-1222-1-1-1-1-1-1-1-1-1-1-1-10000000000220022-1-1-1-100000000-1-1-1-10000-1-1-1-100000000
χ4222222222-122222-1-1222-1-122-1-1-122-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-20000-2-2-2-20000-1-1-12-1222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200-2-211110000000011110000111100000000
χ4322222222-122222-1-1222-1-122-1-1-122-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-12222000022220000111-21-2-2-2-1-1-1-1111111110000000000-2-200-2-2-1-1-1-100000000-1-1-1-10000111100000000
χ4422222222-122222-1-1222-1-122-1-1-122-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-20000-2-2-2-20000111-21-2-2-2-1-1-1-111111111000000000022002211110000000011110000-1-1-1-100000000
χ4522222222-12-2-2-2-2-1-1222-1-122-1-1-122-122-2-2-1-1-1-1-1-1-1-2-2-2-2111122220000-2-2-2-2000011-12-12-2-21111-1-1-1-111110000000000-2-20022-1-1-1-10000000011110000-1-11100000000
χ4622222222-12-2-2-2-2-1-1222-1-122-1-1-122-122-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-200002222000011-12-12-2-21111-1-1-1-1111100000000002200-2-2111100000000-1-1-1-1000011-1-100000000
χ4722222222-12-2-2-2-2-1-1222-1-122-1-1-122-1-2-222-1-1-1-1-1-1-1-2-2-2-2111122220000-2-2-2-20000-1-11-21-22211111111-1-1-1-100000000002200-2-2-1-1-1-1000000001111000011-1-100000000
χ4822222222-12-2-2-2-2-1-1222-1-122-1-1-122-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2000022220000-1-11-21-22211111111-1-1-1-10000000000-2-20022111100000000-1-1-1-10000-1-11100000000
χ49222-22-2-2-22200002222-2-2-22-22-2-2-2-2200002-222-2-2-2000000002-22-22-22-2000000000000000000000000000022-2-222-2-2000000002-22-22-22-2000000000000000000000000
χ50222-22-2-2-22200002222-2-2-22-22-2-2-2-2200002-222-2-2-2000000002-22-2-22-220000000000000000000000000000-2-222-2-222000000002-22-2-22-22000000000000000000000000
χ51222-22-2-2-22200002222-2-2-22-22-2-2-2-2200002-222-2-2-200000000-22-222-22-20000000000000000000000000000-2-222-2-22200000000-22-222-22-2000000000000000000000000
χ52222-22-2-2-22200002222-2-2-22-22-2-2-2-2200002-222-2-2-200000000-22-22-22-22000000000000000000000000000022-2-222-2-200000000-22-22-22-22000000000000000000000000
χ5322-22-2-22-22200002-2-2-2-22-22-2-2-2222200002-2-2-2-222000000002i−2i−2i2i2-2-2200000000000000000000000000002i2i−2i−2i−2i−2i2i2i000000002i−2i−2i2i2-2-22000000000000000000000000
χ5422-22-2-22-22200002-2-2-2-22-22-2-2-2222200002-2-2-2-222000000002i−2i−2i2i-222-20000000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i-222-2000000000000000000000000
χ5522-22-2-22-22200002-2-2-2-22-22-2-2-2222200002-2-2-2-22200000000−2i2i2i−2i2-2-220000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000−2i2i2i−2i2-2-22000000000000000000000000
χ5622-22-2-22-22200002-2-2-2-22-22-2-2-2222200002-2-2-2-22200000000−2i2i2i−2i-222-200000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i-222-2000000000000000000000000
χ5722-2-2-22-222-122-2-22-211-1-22-1-1-22-211-12i−2i2i−2i-1-111-111-1-11122-2-2000022-2-2000022-2-22i−2i2i−i−2ii−ii-1-111−i−iii−i−iii000000002i−2i002i−2i000000-1-111-1-111000000000000−ii−ii0000
χ5822-2-2-22-222-122-2-22-211-1-22-1-1-22-211-12i−2i2i−2i-1-111-111-1-11122-2-20000-2-2220000-2-2222i−2i2i−i−2ii−ii-1-111−i−iii−i−iii00000000−2i2i00−2i2i00000011-1-111-1-1000000000000i−ii−i0000
χ5922-2-2-22-222-122-2-22-211-1-22-1-1-22-211-1−2i2i−2i2i-1-111-111-1-11122-2-2000022-2-2000022-2-2−2i2i−2ii2i−ii−i-1-111ii−i−iii−i−i00000000−2i2i00−2i2i000000-1-111-1-111000000000000i−ii−i0000
χ6022-2-2-22-222-122-2-22-211-1-22-1-1-22-211-1−2i2i−2i2i-1-111-111-1-11122-2-20000-2-2220000-2-222−2i2i−2ii2i−ii−i-1-111ii−i−iii−i−i000000002i−2i002i−2i00000011-1-111-1-1000000000000−ii−ii0000
χ6122-2-2-22-222-1-2-2222-211-1-22-1-1-22-211-12i−2i−2i2i-1-111-11111-1-1-2-222000022-2-20000-2-222−2i2i2i−i−2iii−i11-1-1−i−iiiii−i−i000000002i−2i00−2i2i000000-1-11111-1-1000000000000−iii−i0000
χ6222-2-2-22-222-1-2-2222-211-1-22-1-1-22-211-12i−2i−2i2i-1-111-11111-1-1-2-2220000-2-222000022-2-2−2i2i2i−i−2iii−i11-1-1−i−iiiii−i−i00000000−2i2i002i−2i00000011-1-1-1-111000000000000i−i−ii0000
χ6322-2-2-22-222-1-2-2222-211-1-22-1-1-22-211-1−2i2i2i−2i-1-111-11111-1-1-2-222000022-2-20000-2-2222i−2i−2ii2i−i−ii11-1-1ii−i−i−i−iii00000000−2i2i002i−2i000000-1-11111-1-1000000000000i−i−ii0000
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χ1274-4-4-4444-4-2400002-2-444-22-4-42-22-44-20000222-2-22-200000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000−2i2i2i−2i0000000000000000
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χ1328-8-8-8888-8-4-400004-44-4-4-44444-444-420000-2-2-222-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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