Finite Group Databasebeta

← Group #11802421

Character table — Group #11802421

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order1222222233444466666666666666344446666666121212121212121244444444444444441212121212121212121212121212121212121212444444444444444412121212121212121212121212121212444412121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
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
χ611111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111
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
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-111
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111
χ1711-11-1-11-11111-1-11-11-1-1-1111-1-1-11-11i−ii−i11-1-11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-1i−iii−i−ii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i1-11-1i−ii−iii−i−i11-1-111-1-1ii−i−iii−i−i1-1i−ii−i1-11-11-1
χ1811-11-1-11-11111-1-11-11-1-1-1111-1-1-11-11i−ii−i11-1-11-1-111-1-111-1-1ii−i−iii−i−i-1-111-1-111i−iii−i−ii−i11-1-1ii−i−iii−i−i−i−i−i−iiiii1-11-1−ii−iiii−i−i-1-111-1-111ii−i−i−i−iii1-1−ii−ii1-1-11-11
χ1911-11-1-11-11111-1-11-11-1-1-1111-1-1-11-11i−ii−i11-1-11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-1i−iii−i−ii−i11-1-1ii−i−iii−i−i−i−i−i−iiiii-11-11i−ii−i−i−iii11-1-111-1-1−i−iii−i−iii-11i−ii−i-11-11-11
χ2011-11-1-11-11111-1-11-11-1-1-1111-1-1-11-11i−ii−i11-1-11-1-111-1-111-1-1−i−iii−i−iii-1-111-1-111i−iii−i−ii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i-11-11−ii−ii−i−iii-1-111-1-111−i−iiiii−i−i-11−ii−ii-111-11-1
χ2111-11-1-11-11111-1-11-11-1-1-1111-1-1-11-11−ii−ii11-1-11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-1−ii−i−iii−ii11-1-1−i−iii−i−iiiiiii−i−i−i−i-11-11−ii−iiii−i−i11-1-111-1-1ii−i−iii−i−i-11−ii−ii-11-11-11
χ2211-11-1-11-11111-1-11-11-1-1-1111-1-1-11-11−ii−ii11-1-11-1-111-1-111-1-1ii−i−iii−i−i-1-111-1-111−ii−i−iii−ii11-1-1−i−iii−i−iii−i−i−i−iiiii-11-11i−ii−iii−i−i-1-111-1-111ii−i−i−i−iii-11i−ii−i-111-11-1
χ2311-11-1-11-11111-1-11-11-1-1-1111-1-1-11-11−ii−ii11-1-11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-1−ii−i−iii−ii11-1-1−i−iii−i−iii−i−i−i−iiiii1-11-1−ii−ii−i−iii11-1-111-1-1−i−iii−i−iii1-1−ii−ii1-11-11-1
χ2411-11-1-11-11111-1-11-11-1-1-1111-1-1-11-11−ii−ii11-1-11-1-111-1-111-1-1−i−iii−i−iii-1-111-1-111−ii−i−iii−ii11-1-1−i−iii−i−iiiiiii−i−i−i−i1-11-1i−ii−i−i−iii-1-111-1-111−i−iiiii−i−i1-1i−ii−i1-1-11-11
χ2511-11-1-11-111-1-1111-11-1-1-1111-1-1-11-11i−i−ii11-1-11-1-1-1-111-1-111ii−i−i−i−iii11-1-1-1-111i−i−i−iiii−i-1-111ii−i−i−i−iii−i−i−i−iiiii1-1-11i−i−ii−i−iii11-1-1-1-111ii−i−iii−i−i-11i−i−ii1-11-1-11
χ2611-11-1-11-111-1-1111-11-1-1-1111-1-1-11-11i−i−ii11-1-11-1-1-1-111-1-111ii−i−i−i−iii-1-11111-1-1i−i−i−iiii−i-1-111ii−i−i−i−iiiiiii−i−i−i−i1-1-11−iii−i−i−iii-1-11111-1-1ii−i−i−i−iii-11−iii−i1-1-111-1
χ2711-11-1-11-111-1-1111-11-1-1-1111-1-1-11-11i−i−ii11-1-11-1-1-1-111-1-111−i−iiiii−i−i11-1-1-1-111i−i−i−iiii−i-1-111ii−i−i−i−iiiiiii−i−i−i−i-111-1i−i−iiii−i−i11-1-1-1-111−i−iii−i−iii1-1i−i−ii-11-111-1
χ2811-11-1-11-111-1-1111-11-1-1-1111-1-1-11-11i−i−ii11-1-11-1-1-1-111-1-111−i−iiiii−i−i-1-11111-1-1i−i−i−iiii−i-1-111ii−i−i−i−iii−i−i−i−iiiii-111-1−iii−iii−i−i-1-11111-1-1−i−iiiii−i−i1-1−iii−i-111-1-11
χ2911-11-1-11-111-1-1111-11-1-1-1111-1-1-11-11−iii−i11-1-11-1-1-1-111-1-111ii−i−i−i−iii11-1-1-1-111−iiii−i−i−ii-1-111−i−iiiii−i−i−i−i−i−iiiii-111-1−iii−i−i−iii11-1-1-1-111ii−i−iii−i−i1-1−iii−i-11-111-1
χ3011-11-1-11-111-1-1111-11-1-1-1111-1-1-11-11−iii−i11-1-11-1-1-1-111-1-111ii−i−i−i−iii-1-11111-1-1−iiii−i−i−ii-1-111−i−iiiii−i−iiiii−i−i−i−i-111-1i−i−ii−i−iii-1-11111-1-1ii−i−i−i−iii1-1i−i−ii-111-1-11
χ3111-11-1-11-111-1-1111-11-1-1-1111-1-1-11-11−iii−i11-1-11-1-1-1-111-1-111−i−iiiii−i−i11-1-1-1-111−iiii−i−i−ii-1-111−i−iiiii−i−iiiii−i−i−i−i1-1-11−iii−iii−i−i11-1-1-1-111−i−iii−i−iii-11−iii−i1-11-1-11
χ3211-11-1-11-111-1-1111-11-1-1-1111-1-1-11-11−iii−i11-1-11-1-1-1-111-1-111−i−iiiii−i−i-1-11111-1-1−iiii−i−i−ii-1-111−i−iiiii−i−i−i−i−i−iiiii1-1-11i−i−iiii−i−i-1-11111-1-1−i−iiiii−i−i-11i−i−ii1-1-111-1
χ33222222222-1222222-12-1-12-1-12-1-122-12222-1-1-1-1-1-1-1-1-1-1-122220000000022222222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-100000000000022220000-1-1-1-1-1-1-1-10000000000-1-1-1-1000000
χ34222222222-1222222-12-1-12-1-12-1-122-12222-1-1-1-1-1-1-1-1-1-1-1222200000000-2-2-2-2-2-2-2-2-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200001111111100000000001111000000
χ35222222222-1222222-12-1-12-1-12-1-122-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-12222000000002222222211-21-21-2-2-1-1-1-111111111000000000000-2-2-2-20000-1-1-1-1-1-1-1-100000000001111000000
χ36222222222-1222222-12-1-12-1-12-1-122-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1222200000000-2-2-2-2-2-2-2-211-21-21-2-2-1-1-1-11111111100000000000022220000111111110000000000-1-1-1-1000000
χ37222222222-1-2-2-2-222-12-1-12-1-12-1-122-122-2-2-1-1-1-1-1-1-11111-2-2-2-2000000002222-2-2-2-2-1-1-21-21221111-1-1-1-1111100000000000022-2-20000-1-1-1-111110000000000-1-111000000
χ38222222222-1-2-2-2-222-12-1-12-1-12-1-122-122-2-2-1-1-1-1-1-1-11111-2-2-2-200000000-2-2-2-22222-1-1-21-21221111-1-1-1-11111000000000000-2-22200001111-1-1-1-1000000000011-1-1000000
χ39222222222-1-2-2-2-222-12-1-12-1-12-1-122-1-2-222-1-1-1-1-1-1-11111-2-2-2-2000000002222-2-2-2-2112-12-1-2-211111111-1-1-1-1000000000000-2-2220000-1-1-1-11111000000000011-1-1000000
χ40222222222-1-2-2-2-222-12-1-12-1-12-1-122-1-2-222-1-1-1-1-1-1-11111-2-2-2-200000000-2-2-2-22222112-12-1-2-211111111-1-1-1-100000000000022-2-200001111-1-1-1-10000000000-1-111000000
χ4122222222-122222-1-12-122-122-122-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1222222220000000022-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-100000000-1-1-1-10000-1-10000-1-10000
χ4222222222-122222-1-12-122-122-122-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-20000000022-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000011110000000011110000110000110000
χ4322222222-122222-1-12-122-122-122-1-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-12222222200000000-2-21-21-211-1-1-1-11111111100000000-2-2-2-20000-1-1-1-100000000-1-1-1-10000110000110000
χ4422222222-122222-1-12-122-122-122-1-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-200000000-2-21-21-211-1-1-1-111111111000000002222000011110000000011110000-1-10000-1-10000
χ4522222222-12-2-2-2-2-1-12-122-122-122-1-1-122-2-2-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-200000000221-21-2-1-11111-1-1-1-111110000000022-2-20000111100000000-1-1-1-10000110000-1-10000
χ4622222222-12-2-2-2-2-1-12-122-122-122-1-1-122-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2222200000000221-21-2-1-11111-1-1-1-1111100000000-2-2220000-1-1-1-10000000011110000-1-10000110000
χ4722222222-12-2-2-2-2-1-12-122-122-122-1-1-1-2-222-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-200000000-2-2-12-121111111111-1-1-1-100000000-2-2220000111100000000-1-1-1-10000-1-10000110000
χ4822222222-12-2-2-2-2-1-12-122-122-122-1-1-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2222200000000-2-2-12-121111111111-1-1-1-10000000022-2-20000-1-1-1-10000000011110000110000-1-10000
χ49222-22-2-2-2220000-2-22-22-2-2-2-222-22220000-2-22-222-2000000002-22-2000000002i−2i2i−2i000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000002i−2i2i−2i2-22-20000000000000000
χ50222-22-2-2-2220000-2-22-22-2-2-2-222-22220000-2-22-222-2000000002-22-200000000−2i2i−2i2i00000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i2i−2i2i2-22-20000000000000000
χ51222-22-2-2-2220000-2-22-22-2-2-2-222-22220000-2-22-222-200000000-22-22000000002i−2i2i−2i00000000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000002i−2i2i−2i-22-220000000000000000
χ52222-22-2-2-2220000-2-22-22-2-2-2-222-22220000-2-22-222-200000000-22-2200000000−2i2i−2i2i000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000−2i2i−2i2i-22-220000000000000000
χ5322-22-2-22-22-122-2-22-2-1-2112-1-1-2112-2-12i−2i2i−2i-1-111-111-1-11122-2-20000000022-2-222-2-2−ii2i−i−2ii2i−2i-1-111−i−iii−i−iii0000000000002i−2i2i−2i0000-1-111-1-1110000000000−ii−ii000000
χ5422-22-2-22-22-122-2-22-2-1-2112-1-1-2112-2-12i−2i2i−2i-1-111-111-1-11122-2-200000000-2-222-2-222−ii2i−i−2ii2i−2i-1-111−i−iii−i−iii000000000000−2i2i−2i2i000011-1-111-1-10000000000i−ii−i000000
χ5522-22-2-22-22-122-2-22-2-1-2112-1-1-2112-2-1−2i2i−2i2i-1-111-111-1-11122-2-20000000022-2-222-2-2i−i−2ii2i−i−2i2i-1-111ii−i−iii−i−i000000000000−2i2i−2i2i0000-1-111-1-1110000000000i−ii−i000000
χ5622-22-2-22-22-122-2-22-2-1-2112-1-1-2112-2-1−2i2i−2i2i-1-111-111-1-11122-2-200000000-2-222-2-222i−i−2ii2i−i−2i2i-1-111ii−i−iii−i−i0000000000002i−2i2i−2i000011-1-111-1-10000000000−ii−ii000000
χ5722-22-2-22-22-1-2-2222-2-1-2112-1-1-2112-2-12i−2i−2i2i-1-111-11111-1-1-2-2220000000022-2-2-2-222−ii−2ii2i−i2i−2i11-1-1−i−iiiii−i−i0000000000002i−2i−2i2i0000-1-11111-1-10000000000−iii−i000000
χ5822-22-2-22-22-1-2-2222-2-1-2112-1-1-2112-2-12i−2i−2i2i-1-111-11111-1-1-2-22200000000-2-22222-2-2−ii−2ii2i−i2i−2i11-1-1−i−iiiii−i−i000000000000−2i2i2i−2i000011-1-1-1-1110000000000i−i−ii000000
χ5922-22-2-22-22-1-2-2222-2-1-2112-1-1-2112-2-1−2i2i2i−2i-1-111-11111-1-1-2-2220000000022-2-2-2-222i−i2i−i−2ii−2i2i11-1-1ii−i−i−i−iii000000000000−2i2i2i−2i0000-1-11111-1-10000000000i−i−ii000000
χ6022-22-2-22-22-1-2-2222-2-1-2112-1-1-2112-2-1−2i2i2i−2i-1-111-11111-1-1-2-22200000000-2-22222-2-2i−i2i−i−2ii−2i2i11-1-1ii−i−i−i−iii0000000000002i−2i−2i2i000011-1-1-1-1110000000000−iii−i000000
χ6122-22-2-22-2-1222-2-2-1121-2-2-1221-2-2-11-12i−2i2i−2i-1-111-11122-2-2-1-1112i2i−2i−2i2i2i−2i−2i000000002i−2i−i2ii−2i−ii-1-111−i−iii−i−iii000000002-22-20000−i−iii00000000−i−iii0000-110000-110000
χ6222-22-2-22-2-1222-2-2-1121-2-2-1221-2-2-11-12i−2i2i−2i-1-111-11122-2-2-1-111−2i−2i2i2i−2i−2i2i2i000000002i−2i−i2ii−2i−ii-1-111−i−iii−i−iii00000000-22-220000ii−i−i00000000ii−i−i00001-100001-10000
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χ1074-444-4-4-44-244i−4i4i−4i2-2-424-4-24-42-442-2-20000-222-22-224i−4i4i−4i−2i2i−2i2i000000000000000000000000−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
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χ1184-4-4444-4-44-2−4i4i4i−4i-4-4242-24-224-22-4-4-20000-22-2222-22i−2i−2i2i−4i4i4i−4i0000000000000000000000002i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ1194-4-4444-4-4-244i−4i−4i4i22-4-2-44-24-4-24-422-20000-22-2222-24i−4i−4i4i−2i2i2i−2i000000000000000000000000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
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χ1284-4-4-44-444-240000-2-2-42-4-42-44-24422-200002-2-2-2222000000000000-444-4000000000000000000000000000000000000000000002-2-220000000000000000000000000000
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χ1318-88-8-888-8-4-40000-444-4-4-444-44444-420000-22-2-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-8-88-888-4-40000-4-4444444-4-4-4-44420000-2222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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