Finite Group Databasebeta

← Group #11802483

Character table — Group #11802483

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order1222222233444466666666666666344446666666121212121212121244444444444444441212121212121212121212121212121212121212444444444444444412121212121212121212121212121212444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ1711-111-1-1-11111-1-11-1-1-1-1-1111-1-11-1111-11-11-1-1-1-11111-1-111-1-111-1-1ii−i−i11-1-1ii−i−i1-11-11-11-111-1-111-1-111-1-1iiii−i−i−i−i1-11-1i−ii−i11-1-1ii−i−iii−i−i11-1-1ii−i−ii−i1-1i−i1-1i−ii−i
χ1811-111-1-1-11111-1-11-1-1-1-1-1111-1-11-1111-11-11-1-1-1-11111-1-111-1-111-1-1−i−iii11-1-1−i−iii1-11-11-11-111-1-111-1-111-1-1−i−i−i−iiiii1-11-1−ii−ii11-1-1−i−iii−i−iii11-1-1−i−iii−ii1-1−ii1-1−ii−ii
χ1911-111-1-1-11111-1-11-1-1-1-1-1111-1-11-1111-11-11-1-1-1-11111-1-111-1-1-1-111ii−i−i-1-111ii−i−i1-11-11-11-111-1-111-1-111-1-1−i−i−i−iiiii-11-11i−ii−i-1-111ii−i−iii−i−i-1-111−i−iiii−i-11i−i-11−ii−ii
χ2011-111-1-1-11111-1-11-1-1-1-1-1111-1-11-1111-11-11-1-1-1-11111-1-111-1-1-1-111−i−iii-1-111−i−iii1-11-11-11-111-1-111-1-111-1-1iiii−i−i−i−i-11-11−ii−ii-1-111−i−iii−i−iii-1-111ii−i−i−ii-11−ii-11i−ii−i
χ2111-111-1-1-11111-1-11-1-1-1-1-1111-1-11-111-11-111-1-1-1-11111-1-111-1-111-1-1ii−i−i11-1-1ii−i−i-11-11-11-11-1-11111-1-1-1-111iiii−i−i−i−i-11-11−ii−ii11-1-1ii−i−iii−i−i11-1-1ii−i−i−ii-11−ii-11−ii−ii
χ2211-111-1-1-11111-1-11-1-1-1-1-1111-1-11-111-11-111-1-1-1-11111-1-111-1-111-1-1−i−iii11-1-1−i−iii-11-11-11-11-1-11111-1-1-1-111−i−i−i−iiiii-11-11i−ii−i11-1-1−i−iii−i−iii11-1-1−i−iiii−i-11i−i-11i−ii−i
χ2311-111-1-1-11111-1-11-1-1-1-1-1111-1-11-111-11-111-1-1-1-11111-1-111-1-1-1-111ii−i−i-1-111ii−i−i-11-11-11-11-1-11111-1-1-1-111−i−i−i−iiiii1-11-1−ii−ii-1-111ii−i−iii−i−i-1-111−i−iii−ii1-1−ii1-1i−ii−i
χ2411-111-1-1-11111-1-11-1-1-1-1-1111-1-11-111-11-111-1-1-1-11111-1-111-1-1-1-111−i−iii-1-111−i−iii-11-11-11-11-1-11111-1-1-1-111iiii−i−i−i−i1-11-1i−ii−i-1-111−i−iii−i−iii-1-111ii−i−ii−i1-1i−i1-1−ii−ii
χ2511-111-1-1-111-1-1111-1-1-1-1-1111-1-11-1111-1-111-1-1-1-111-1-111-1-11111-1-1ii−i−i-1-111−i−iii-111-11-1-11-1-111-1-11111-1-1iiii−i−i−i−i1-1-11−iii−i11-1-1ii−i−i−i−iii-1-111−i−iiii−i1-1−ii-11−iii−i
χ2611-111-1-1-111-1-1111-1-1-1-1-1111-1-11-1111-1-111-1-1-1-111-1-111-1-11111-1-1−i−iii-1-111ii−i−i-111-11-1-11-1-111-1-11111-1-1−i−i−i−iiiii1-1-11i−i−ii11-1-1−i−iiiii−i−i-1-111ii−i−i−ii1-1i−i-11i−i−ii
χ2711-111-1-1-111-1-1111-1-1-1-1-1111-1-11-1111-1-111-1-1-1-111-1-111-1-111-1-111ii−i−i11-1-1−i−iii-111-11-1-11-1-111-1-11111-1-1−i−i−i−iiiii-111-1−iii−i-1-111ii−i−i−i−iii11-1-1ii−i−ii−i-11−ii1-1i−i−ii
χ2811-111-1-1-111-1-1111-1-1-1-1-1111-1-11-1111-1-111-1-1-1-111-1-111-1-111-1-111−i−iii11-1-1ii−i−i-111-11-1-11-1-111-1-11111-1-1iiii−i−i−i−i-111-1i−i−ii-1-111−i−iiiii−i−i11-1-1−i−iii−ii-11i−i1-1−iii−i
χ2911-111-1-1-111-1-1111-1-1-1-1-1111-1-11-111-111-11-1-1-1-111-1-111-1-11111-1-1ii−i−i-1-111−i−iii1-1-11-111-111-1-1-1-111-1-111iiii−i−i−i−i-111-1i−i−ii11-1-1ii−i−i−i−iii-1-111−i−iii−ii-11i−i1-1i−i−ii
χ3011-111-1-1-111-1-1111-1-1-1-1-1111-1-11-111-111-11-1-1-1-111-1-111-1-11111-1-1−i−iii-1-111ii−i−i1-1-11-111-111-1-1-1-111-1-111−i−i−i−iiiii-111-1−iii−i11-1-1−i−iiiii−i−i-1-111ii−i−ii−i-11−ii1-1−iii−i
χ3111-111-1-1-111-1-1111-1-1-1-1-1111-1-11-111-111-11-1-1-1-111-1-111-1-111-1-111ii−i−i11-1-1−i−iii1-1-11-111-111-1-1-1-111-1-111−i−i−i−iiiii1-1-11i−i−ii-1-111ii−i−i−i−iii11-1-1ii−i−i−ii1-1i−i-11−iii−i
χ3211-111-1-1-111-1-1111-1-1-1-1-1111-1-11-111-111-11-1-1-1-111-1-111-1-111-1-111−i−iii11-1-1ii−i−i1-1-11-111-111-1-1-1-111-1-111iiii−i−i−i−i1-1-11−iii−i-1-111−i−iiiii−i−i11-1-1−i−iiii−i1-1−ii-11i−i−ii
χ33222222222-1222222-1-1-1-122-122-12-1-12222-1-1-1-1-1-1-12222-1-1-1-122220000222200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-100000000-1-1-1-1000000-1-100-1-10000
χ34222222222-1222222-1-1-1-122-122-12-1-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-20000-2-2-2-200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000011110000000011110000001100110000
χ35222222222-1222222-1-1-1-122-122-12-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-12222000022220000-2-2-2-211111111-1-1-1-1111100000000-2-2-2-20000-1-1-1-100000000-1-1-1-10000001100110000
χ36222222222-1222222-1-1-1-122-122-12-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-20000-2-2-2-20000-2-2-2-211111111-1-1-1-1111100000000222200001111000000001111000000-1-100-1-10000
χ37222222222-1-2-2-2-222-1-1-1-122-122-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-2111122220000-2-2-2-20000-2-222-1-11111111111-1-1-1-10000000022-2-20000-1-1-1-1000000001111000000-1-100110000
χ38222222222-1-2-2-2-222-1-1-1-122-122-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2000022220000-2-222-1-11111111111-1-1-1-100000000-2-2220000111100000000-1-1-1-10000001100-1-10000
χ39222222222-1-2-2-2-222-1-1-1-122-122-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-2111122220000-2-2-2-2000022-2-211-1-1-1-1-1-11111111100000000-2-2220000-1-1-1-10000000011110000001100-1-10000
χ40222222222-1-2-2-2-222-1-1-1-122-122-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-200002222000022-2-211-1-1-1-1-1-1111111110000000022-2-20000111100000000-1-1-1-1000000-1-100110000
χ4122222222-122222-1-12222-1-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-122220000222200002222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022220000-1-1-1-1-1-1-1-100000000-1-100-1-1000000
χ4222222222-122222-1-12222-1-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-20000-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200001111111100000000110011000000
χ4322222222-122222-1-12222-1-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1222200002222000022221111-2-2-2-21111-1-1-1-11111000000000000-2-2-2-20000-1-1-1-1-1-1-1-100000000110011000000
χ4422222222-122222-1-12222-1-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-20000-2-2-2-21111-2-2-2-21111-1-1-1-11111000000000000222200001111111100000000-1-100-1-1000000
χ4522222222-12-2-2-2-2-1-12222-1-12-1-12-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-2000022220000-2-2-2-211-1-122-2-211111111-1-1-1-1000000000000-2-2220000-1-1-1-1111100000000-1-10011000000
χ4622222222-12-2-2-2-2-1-12222-1-12-1-12-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-20000222211-1-122-2-211111111-1-1-1-100000000000022-2-200001111-1-1-1-1000000001100-1-1000000
χ4722222222-12-2-2-2-2-1-12222-1-12-1-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2000022220000-2-2-2-2-1-111-2-222-1-1-1-11111111100000000000022-2-20000-1-1-1-11111000000001100-1-1000000
χ4822222222-12-2-2-2-2-1-12222-1-12-1-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-200002222-1-111-2-222-1-1-1-111111111000000000000-2-22200001111-1-1-1-100000000-1-10011000000
χ49222-2-22-2-22200002222-2-2-2-222-2-2-2-220000222-2-2-2-2000000002-22-22-22-2000000000000000000000000000022-2-222-2-2000000002-22-22-22-2000000000000000000000000
χ50222-2-22-2-22200002222-2-2-2-222-2-2-2-220000222-2-2-2-2000000002-22-2-22-220000000000000000000000000000-2-222-2-222000000002-22-2-22-22000000000000000000000000
χ51222-2-22-2-22200002222-2-2-2-222-2-2-2-220000222-2-2-2-200000000-22-222-22-20000000000000000000000000000-2-222-2-22200000000-22-222-22-2000000000000000000000000
χ52222-2-22-2-22200002222-2-2-2-222-2-2-2-220000222-2-2-2-200000000-22-22-22-22000000000000000000000000000022-2-222-2-200000000-22-22-22-22000000000000000000000000
χ5322-222-2-2-22-122-2-22-2111122-1-2-2-1-2-1-12-22-2-11111-1-122-2-2-1-11122-2-2000022-2-200002-22-2-11-11-1-111-1-111-1-111000000002-22-20000-1-11100000000-1-111000000-1100-110000
χ5422-222-2-2-22-122-2-22-2111122-1-2-2-1-2-1-12-22-2-11111-1-122-2-2-1-111-2-2220000-2-22200002-22-2-11-11-1-111-1-111-1-11100000000-22-22000011-1-10000000011-1-10000001-1001-10000
χ5522-222-2-2-22-122-2-22-2111122-1-2-2-1-2-1-1-22-22-11111-1-122-2-2-1-11122-2-2000022-2-20000-22-221-11-111-1-1-1-11111-1-100000000-22-220000-1-11100000000-1-1110000001-1001-10000
χ5622-222-2-2-22-122-2-22-2111122-1-2-2-1-2-1-1-22-22-11111-1-122-2-2-1-111-2-2220000-2-2220000-22-221-11-111-1-1-1-11111-1-1000000002-22-2000011-1-10000000011-1-1000000-1100-110000
χ5722-222-2-2-22-1-2-2222-2111122-1-2-2-1-2-1-12-2-22-11111-1-1-2-22211-1-122-2-20000-2-2220000-222-2-111-111-1-111-1-1-1-111000000002-2-220000-1-1110000000011-1-1000000-11001-10000
χ5822-222-2-2-22-1-2-2222-2111122-1-2-2-1-2-1-12-2-22-11111-1-1-2-22211-1-1-2-222000022-2-20000-222-2-111-111-1-111-1-1-1-11100000000-222-2000011-1-100000000-1-1110000001-100-110000
χ5922-222-2-2-22-1-2-2222-2111122-1-2-2-1-2-1-1-222-2-11111-1-1-2-22211-1-122-2-20000-2-22200002-2-221-1-11-1-11111-1-111-1-100000000-222-20000-1-1110000000011-1-10000001-100-110000
χ6022-222-2-2-22-1-2-2222-2111122-1-2-2-1-2-1-1-222-2-11111-1-1-2-22211-1-1-2-222000022-2-200002-2-221-1-11-1-11111-1-111-1-1000000002-2-22000011-1-100000000-1-111000000-11001-10000
χ6122-222-2-2-2-1222-2-2-11-2-2-2-2-1-1211212-12-22-2-11111-1-1-1-11122-2-200002i2i−2i−2i00002i2i−2i−2i-11-112-22-2-1-111-1-111-1-1110000000000002i−2i2i−2i0000−i−iii−i−iii00000000−ii00−ii000000
χ6222-222-2-2-2-1222-2-2-11-2-2-2-2-1-1211212-12-22-2-11111-1-1-1-11122-2-20000−2i−2i2i2i0000−2i−2i2i2i-11-112-22-2-1-111-1-111-1-111000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000i−i00i−i000000
χ6322-222-2-2-2-1222-2-2-11-2-2-2-2-1-1211212-1-22-22-11111-1-1-1-11122-2-200002i2i−2i−2i00002i2i−2i−2i1-11-1-22-2211-1-1-1-11111-1-1000000000000−2i2i−2i2i0000−i−iii−i−iii00000000i−i00i−i000000
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χ1328-8-88-88-88-4-400004-44-44-44-444-4-44420000-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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