Finite Group Databasebeta

← Group #11802016

Character table — Group #11802016

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222223333333344444444444444444444444444446666666666666666666688888888888888881212121212121212121212121212121212121212121212121212121218181818181818182424242436363636
order122222223344446666666666666644444444344446666666121212121212121212121212121212122222222244441212121212121212121212121212121212121212121212122244444466666666121212121212121212121212222244446612124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-11111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ101111111111-1-1-1-11111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ111111111111-1-1-1-111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ121111111111-1-1-1-111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ131111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ141111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111
χ151111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ161111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1711-11-1-11-111ii−i−i1-111-11-11-11-1-1-1-1iiii−i−i−i−i11-1i−i11-1-11-1-111-1-1ii−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iiiii−i−i−i−i1-1i−iii−i−i11-1-1ii−i−i1-1i−i1-1i−i11-1-111-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i1-1i−i
χ1811-11-1-11-111ii−i−i1-111-11-11-11-1-1-1-1iiii−i−i−i−i11-1i−i11-1-11-1-111-1-1ii−i−iiiii−i−i−i−i11-1-1-1-111−i−iiiiiii−i−i−i−i1-1i−iii−i−i11-1-1ii−i−i-11i−i1-1−ii11-1-1-1-111ii−i−i11-1-1−i−iii-1-111−i−iii-11−ii-11−ii
χ1911-11-1-11-111ii−i−i1-111-11-11-11-1-1-1-1iiii−i−i−i−i1-11−ii11-1-11-1-1-1-111−i−iiiiiii−i−i−i−i11-1-111-1-1ii−i−iiiii−i−i−i−i-11−iiii−i−i-1-111−i−iii-11−ii-11−ii11-1-111-1-1−i−iii-1-111ii−i−i11-1-1ii−i−i-11−ii-11−ii
χ2011-11-1-11-111ii−i−i1-111-11-11-11-1-1-1-1iiii−i−i−i−i1-11−ii11-1-11-1-1-1-111−i−iiiiiii−i−i−i−i11-1-1-1-111−i−iiiiiii−i−i−i−i-11−iiii−i−i-1-111−i−iii1-1−ii-11i−i11-1-1-1-111−i−iii-1-111−i−iii-1-111−i−iii1-1i−i1-1i−i
χ2111-11-1-11-111ii−i−i1-111-11-11-11-1-1-1-1−i−i−i−iiiii11-1i−i11-1-11-1-111-1-1ii−i−iiiii−i−i−i−i-1-11111-1-1ii−i−i−i−i−i−iiiii1-1i−iii−i−i11-1-1ii−i−i1-1−ii-11i−i-1-11111-1-1−i−iii-1-111ii−i−i-1-111−i−iii1-1i−i-11−ii
χ2211-11-1-11-111ii−i−i1-111-11-11-11-1-1-1-1−i−i−i−iiiii11-1i−i11-1-11-1-111-1-1ii−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−i−i−iiiii1-1i−iii−i−i11-1-1ii−i−i-11−ii-11−ii-1-111-1-111−i−iii-1-111−i−iii11-1-1ii−i−i-11−ii1-1i−i
χ2311-11-1-11-111ii−i−i1-111-11-11-11-1-1-1-1−i−i−i−iiiii1-11−ii11-1-11-1-1-1-111−i−iiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−i−i−iiiii-11−iiii−i−i-1-111−i−iii-11i−i1-1−ii-1-11111-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii-11−ii1-1i−i
χ2411-11-1-11-111ii−i−i1-111-11-11-11-1-1-1-1−i−i−i−iiiii1-11−ii11-1-11-1-1-1-111−i−iiiiiii−i−i−i−i-1-111-1-111−i−iii−i−i−i−iiiii-11−iiii−i−i-1-111−i−iii1-1i−i1-1i−i-1-111-1-111ii−i−i11-1-1−i−iii11-1-1ii−i−i1-1i−i-11−ii
χ2511-11-1-11-111−i−iii1-111-11-11-11-1-1-1-1iiii−i−i−i−i11-1−ii11-1-11-1-111-1-1−i−iii−i−i−i−iiiii-1-11111-1-1−i−iiiiiii−i−i−i−i1-1−ii−i−iii11-1-1−i−iii1-1i−i-11−ii-1-11111-1-1ii−i−i-1-111−i−iii-1-111ii−i−i1-1−ii-11i−i
χ2611-11-1-11-111−i−iii1-111-11-11-11-1-1-1-1iiii−i−i−i−i11-1−ii11-1-11-1-111-1-1−i−iii−i−i−i−iiiii-1-111-1-111ii−i−iiiii−i−i−i−i1-1−ii−i−iii11-1-1−i−iii-11i−i-11i−i-1-111-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii-11i−i1-1−ii
χ2711-11-1-11-111−i−iii1-111-11-11-11-1-1-1-1iiii−i−i−i−i1-11i−i11-1-11-1-1-1-111ii−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiiiii−i−i−i−i-11i−i−i−iii-1-111ii−i−i-11−ii1-1i−i-1-11111-1-1−i−iii11-1-1−i−iii-1-111ii−i−i-11i−i1-1−ii
χ2811-11-1-11-111−i−iii1-111-11-11-11-1-1-1-1iiii−i−i−i−i1-11i−i11-1-11-1-1-1-111ii−i−i−i−i−i−iiiii-1-111-1-111ii−i−iiiii−i−i−i−i-11i−i−i−iii-1-111ii−i−i1-1−ii1-1−ii-1-111-1-111−i−iii11-1-1ii−i−i11-1-1−i−iii1-1−ii-11i−i
χ2911-11-1-11-111−i−iii1-111-11-11-11-1-1-1-1−i−i−i−iiiii11-1−ii11-1-11-1-111-1-1−i−iii−i−i−i−iiiii11-1-111-1-1−i−iii−i−i−i−iiiii1-1−ii−i−iii11-1-1−i−iii1-1−ii1-1−ii11-1-111-1-1−i−iii11-1-1−i−iii11-1-1−i−iii1-1−ii1-1−ii
χ3011-11-1-11-111−i−iii1-111-11-11-11-1-1-1-1−i−i−i−iiiii11-1−ii11-1-11-1-111-1-1−i−iii−i−i−i−iiiii11-1-1-1-111ii−i−i−i−i−i−iiiii1-1−ii−i−iii11-1-1−i−iii-11−ii1-1i−i11-1-1-1-111−i−iii11-1-1ii−i−i-1-111ii−i−i-11i−i-11i−i
χ3111-11-1-11-111−i−iii1-111-11-11-11-1-1-1-1−i−i−i−iiiii1-11i−i11-1-11-1-1-1-111ii−i−i−i−i−i−iiiii11-1-111-1-1−i−iii−i−i−i−iiiii-11i−i−i−iii-1-111ii−i−i-11i−i-11i−i11-1-111-1-1ii−i−i-1-111−i−iii11-1-1−i−iii-11i−i-11i−i
χ3211-11-1-11-111−i−iii1-111-11-11-11-1-1-1-1−i−i−i−iiiii1-11i−i11-1-11-1-1-1-111ii−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−i−i−iiiii-11i−i−i−iii-1-111ii−i−i1-1i−i-11−ii11-1-1-1-111ii−i−i-1-111ii−i−i-1-111ii−i−i1-1−ii1-1−ii
χ33222222222-1222222-1-1-122-1-122-12-100000000-12222-1-1-1-1-1-1-12222222222-1-122-1-100002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000220000-1-1-1-100000000-1-1-1-100000000-1-1-1-10000
χ34222222222-1222222-1-1-122-1-122-12-100000000-12222-1-1-1-1-1-1-12222222222-1-122-1-10000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2000011110000000011110000000011110000
χ35222222222-1222222-1-1-122-1-122-12-100000000-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-122-1-1000022222222000000001111-1-1-1-111111111-2-20000-2-20000-1-1-1-100000000-1-1-1-10000000011110000
χ36222222222-1222222-1-1-122-1-122-12-100000000-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-122-1-10000-2-2-2-2-2-2-2-2000000001111-1-1-1-111111111220000220000111100000000111100000000-1-1-1-10000
χ37222222222-1-2-2-2-222-1-1-122-1-122-12-100000000-122-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-211-2-21100002222-2-2-2-200000000-1-1111111-1-1-1-11111220000-2-20000-1-1-1-100000000111100000000-1-1110000
χ38222222222-1-2-2-2-222-1-1-122-1-122-12-100000000-122-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-211-2-2110000-2-2-2-2222200000000-1-1111111-1-1-1-11111-2-20000220000111100000000-1-1-1-10000000011-1-10000
χ39222222222-1-2-2-2-222-1-1-122-1-122-12-100000000-1-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-211-2-21100002222-2-2-2-20000000011-1-111111111-1-1-1-1-2-20000220000-1-1-1-10000000011110000000011-1-10000
χ40222222222-1-2-2-2-222-1-1-122-1-122-12-100000000-1-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-211-2-2110000-2-2-2-222220000000011-1-111111111-1-1-1-1220000-2-20000111100000000-1-1-1-100000000-1-1110000
χ4122222222-122222-1-1222-1-122-1-12-1222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122222200000000-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100222200-1-1-1-10000-1-1-1-1-1-1-1-100000000000000000000
χ4222222222-122222-1-1222-1-122-1-12-1222222222-1-2-2-2-2-1-1-1-1-1-1-111111111-1-122-1-122222200000000-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100-2-2-2-200-1-1-1-100001111111100000000000000000000
χ4322222222-122222-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-2-2-2-200000000111111112222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200111100001111111100000000000000000000
χ4422222222-122222-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111-1-122-1-122-2-2-2-20000000011111111-2-2-2-2-1-1-1-1111111110022220011110000-1-1-1-1-1-1-1-100000000000000000000
χ4522222222-12-2-2-2-2-1-1222-1-122-1-12-1222222222-122-2-2-1-1-1-1-1-1-1-1-1-1-1111111-2-211-2-2-2-2-2-200000000-1-1-1-1-1-1-1-122-2-21111-1-1-1-111110022-2-20011110000-1-1-1-1111100000000000000000000
χ4622222222-12-2-2-2-2-1-1222-1-122-1-12-1222222222-1-2-222-1-1-1-1-1-1-11111-1-1-1-111-2-211-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-100-2-22200111100001111-1-1-1-100000000000000000000
χ4722222222-12-2-2-2-2-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-1-1-1-1-1111111-2-211-2-22222000000001111111122-2-21111-1-1-1-1111100-2-22200-1-1-1-100001111-1-1-1-100000000000000000000
χ4822222222-12-2-2-2-2-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-11111-1-1-1-111-2-211-2-222220000000011111111-2-22211111111-1-1-1-10022-2-200-1-1-1-10000-1-1-1-1111100000000000000000000
χ49222-22-2-2-2220000-22-2-2-22222-2-22-2-22i2i−2i−2i2i2i−2i−2i20000-2-22-222-2000000000000000000002-22-200002i2i−2i−2i2i2i−2i−2i00000000000000000000000000002-22-200000000000000002i−2i2i−2i00000000
χ50222-22-2-2-2220000-22-2-2-22222-2-22-2-22i2i−2i−2i2i2i−2i−2i20000-2-22-222-200000000000000000000-22-2200002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000-22-220000000000000000−2i2i−2i2i00000000
χ51222-22-2-2-2220000-22-2-2-22222-2-22-2-2−2i−2i2i2i−2i−2i2i2i20000-2-22-222-2000000000000000000002-22-20000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002-22-20000000000000000−2i2i−2i2i00000000
χ52222-22-2-2-2220000-22-2-2-22222-2-22-2-2−2i−2i2i2i−2i−2i2i2i20000-2-22-222-200000000000000000000-22-220000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000-22-2200000000000000002i−2i2i−2i00000000
χ5322-22-2-22-22-12i2i−2i−2i2-2-1-112-2-112-21-2100000000-12-22i−2i-1-111-11122-2-22i2i−2i−2i2i2i−i−i−2i−2iii000022-2-22i2i−2i−2i00000000-11−ii−i−iii-1-111−i−iii2-200002i−2i0000-1-11100000000−i−iii00000000-11−ii0000
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χ1284-44-4-444-4-2-24i−4i4i−4i-222-2-22-22-22-22220000000010000-11-11-11-1−2323−23232i3−2i32i3−2i3−2i2i−2i2i−2i2i−2i2i000000000000000000000000i−ii−i3−33−3−i3i3−i3i300000000000000000000000000000000000000000000
χ1294-44-4-444-4-2-2−4i4i−4i4i-222-2-22-22-22-22220000000010000-11-11-11-123−2323−232i3−2i32i3−2i32i−2i2i−2i2i−2i2i−2i000000000000000000000000−ii−ii−33−33−i3i3−i3i300000000000000000000000000000000000000000000
χ1304-44-4-444-4-2-2−4i4i−4i4i-222-2-22-22-22-22220000000010000-11-11-11-1−2323−2323−2i32i3−2i32i32i−2i2i−2i2i−2i2i−2i000000000000000000000000−ii−ii3−33−3i3−i3i3−i300000000000000000000000000000000000000000000
χ1314-4-4444-4-44-20000-44-22-2-4-42244-2-4200000000-20000-22-2-22220000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000−2i2i2i−2i0000000000000000
χ1324-4-4444-4-44-20000-44-22-2-4-42244-2-4200000000-20000-22-2-2222000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000002i−2i−2i2i0000000000000000
χ1334-4-4444-4-4-2400002-24-4422-4-4-2-242-44i−4i4i−4i−4i4i−4i4i-20000-22-2-22220000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ1344-4-4444-4-4-2400002-24-4422-4-4-2-242-4−4i4i−4i4i4i−4i4i−4i-20000-22-2-222200000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1354-4-4-44-4444-24-4-44442-22-4-422-4-4-24-200000000-200002-2-2222-2000000004-4-22-442-2000000000000000000000000-222-20000000000000000000000000000000000000000000000000000
χ1364-4-4-44-4444-2-444-4442-22-4-422-4-4-24-200000000-200002-2-2222-200000000-442-24-4-220000000000000000000000002-2-220000000000000000000000000000000000000000000000000000
χ1374-4-4-44-444-2-24-4-44-2-22-22222222-2-2-20000000010000-111-1-1-1123−23−2323−232323−23-22-222-22-20000000000000000000000001-1-11−333−33−3−3300000000000000000000000000000000000000000000
χ1384-4-4-44-444-2-24-4-44-2-22-22222222-2-2-20000000010000-111-1-1-11−232323−2323−23−2323-22-222-22-20000000000000000000000001-1-113−3−33−333−300000000000000000000000000000000000000000000
χ1394-4-4-44-444-2-2-444-4-2-22-22222222-2-2-20000000010000-111-1-1-1123−23−232323−23−23232-22-2-22-22000000000000000000000000-111-1−333−3−333−300000000000000000000000000000000000000000000
χ1404-4-4-44-444-2-2-444-4-2-22-22222222-2-2-20000000010000-111-1-1-11−232323−23−232323−232-22-2-22-22000000000000000000000000-111-13−3−333−3−3300000000000000000000000000000000000000000000
χ141888-88-8-8-8-4-400004-4444-4-4-4-444-4440000000020000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14288-8-8-88-88-4-400004444-4-44-444-44-4-40000000020000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-888-8-8-88-4-4000044-4444-44-4-444-4-400000000200002-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8888-8-8-4-400004-4-44-44444-4-4-44400000000200002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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