Finite Group Databasebeta

← Group #11807522

Character table — Group #11807522

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222244444444444444444444444444446666666666666666666666668888888888888888121212121212121212121212121212121212121212121212121212121818181824242424363636363636
order12222222334444666666666666663444466666661212121212121212121212121212121244444444444444441212121212121212121212121212121212121212121212122244444412121212121212121212121212121212121212124444661212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1
χ611111111111111111111111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111
χ711111111111111111111111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ811111111111111111111111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1
χ91111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ101111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ111111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1
χ121111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1
χ1711-1-111-1-111ii−i−i1-11-111-1-1-1-11-1-1111-1i−i11-1-1-11-111-1-1iiii−i−i−i−iii−i−iii−i−i11-1-111-1-1ii−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−iii−i−i1-1i−i1-1i−iii−i−i11-1-1ii−i−i11-1-111-1-1ii−i−i1-1i−i1-11-1i−i
χ1811-1-111-1-111ii−i−i1-11-111-1-1-1-11-1-1111-1i−i11-1-1-11-111-1-1iiii−i−i−i−iii−i−iii−i−i11-1-1-1-111ii−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−iii−i−i-11−ii1-1−iiii−i−i-1-111−i−iii11-1-111-1-1−i−iii-11−ii-11-11−ii
χ1911-1-111-1-111ii−i−i1-11-111-1-1-1-11-1-1111-1i−i11-1-1-11-111-1-1iiii−i−i−i−iii−i−i−i−iii-1-11111-1-1−i−iii−i−i−i−iiiii1-1i−i11-1-1ii−i−iii−i−i1-1i−i-11i−i−i−iii11-1-1ii−i−i-1-111-1-111−i−iii1-1i−i-11-11−ii
χ2011-1-111-1-111ii−i−i1-11-111-1-1-1-11-1-1111-1i−i11-1-1-11-111-1-1iiii−i−i−i−iii−i−i−i−iii-1-111-1-111−i−iii−i−i−i−iiiii1-1i−i11-1-1ii−i−iii−i−i-11−ii-11−ii−i−iii-1-111−i−iii-1-111-1-111ii−i−i-11−ii1-11-1i−i
χ2111-1-111-1-111ii−i−i1-11-111-1-1-1-11-1-111-11−ii11-1-1-11-1-1-111iiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1−i−iiiiiii−i−i−i−i-11−ii-1-111ii−i−i−i−iii-11i−i1-1−ii−i−iii11-1-1ii−i−i11-1-1-1-111ii−i−i-11−ii-111-1−ii
χ2211-1-111-1-111ii−i−i1-11-111-1-1-1-11-1-111-11−ii11-1-1-11-1-1-111iiii−i−i−i−i−i−iiiii−i−i-1-111-1-111−i−iiiiiii−i−i−i−i-11−ii-1-111ii−i−i−i−iii1-1−ii1-1i−i−i−iii-1-111−i−iii11-1-1-1-111−i−iii1-1i−i1-1-11i−i
χ2311-1-111-1-111ii−i−i1-11-111-1-1-1-11-1-111-11−ii11-1-1-11-1-1-111iiii−i−i−i−i−i−iii−i−iii11-1-111-1-1ii−i−i−i−i−i−iiiii-11−ii-1-111ii−i−i−i−iii-11i−i-11−iiii−i−i11-1-1ii−i−i-1-11111-1-1−i−iii-11−ii1-1-11i−i
χ2411-1-111-1-111ii−i−i1-11-111-1-1-1-11-1-111-11−ii11-1-1-11-1-1-111iiii−i−i−i−i−i−iii−i−iii11-1-1-1-111ii−i−i−i−i−i−iiiii-11−ii-1-111ii−i−i−i−iii1-1−ii-11i−iii−i−i-1-111−i−iii-1-11111-1-1ii−i−i1-1i−i-111-1−ii
χ2511-1-111-1-111−i−iii1-11-111-1-1-1-11-1-1111-1−ii11-1-1-11-111-1-1−i−i−i−iiiii−i−iiiii−i−i-1-11111-1-1ii−i−iiiii−i−i−i−i1-1−ii11-1-1−i−iii−i−iii1-1−ii-11−iiii−i−i11-1-1−i−iii-1-111-1-111ii−i−i1-1−ii-11-11i−i
χ2611-1-111-1-111−i−iii1-11-111-1-1-1-11-1-1111-1−ii11-1-1-11-111-1-1−i−i−i−iiiii−i−iiiii−i−i-1-111-1-111ii−i−iiiii−i−i−i−i1-1−ii11-1-1−i−iii−i−iii-11i−i-11i−iii−i−i-1-111ii−i−i-1-111-1-111−i−iii-11i−i1-11-1−ii
χ2711-1-111-1-111−i−iii1-11-111-1-1-1-11-1-1111-1−ii11-1-1-11-111-1-1−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1−i−iii−i−i−i−iiiii1-1−ii11-1-1−i−iii−i−iii1-1−ii1-1−ii−i−iii11-1-1−i−iii11-1-111-1-1−i−iii1-1−ii1-11-1−ii
χ2811-1-111-1-111−i−iii1-11-111-1-1-1-11-1-1111-1−ii11-1-1-11-111-1-1−i−i−i−iiiii−i−iii−i−iii11-1-1-1-111−i−iii−i−i−i−iiiii1-1−ii11-1-1−i−iii−i−iii-11i−i1-1i−i−i−iii-1-111ii−i−i11-1-111-1-1ii−i−i-11i−i-11-11i−i
χ2911-1-111-1-111−i−iii1-11-111-1-1-1-11-1-111-11i−i11-1-1-11-1-1-111−i−i−i−iiiiiii−i−iii−i−i11-1-111-1-1−i−iiiiiii−i−i−i−i-11i−i-1-111−i−iiiii−i−i-11−ii-11i−i−i−iii11-1-1−i−iii-1-11111-1-1ii−i−i-11i−i1-1-11−ii
χ3011-1-111-1-111−i−iii1-11-111-1-1-1-11-1-111-11i−i11-1-1-11-1-1-111−i−i−i−iiiiiii−i−iii−i−i11-1-1-1-111−i−iiiiiii−i−i−i−i-11i−i-1-111−i−iiiii−i−i1-1i−i-11−ii−i−iii-1-111ii−i−i-1-11111-1-1−i−iii1-1−ii-111-1i−i
χ3111-1-111-1-111−i−iii1-11-111-1-1-1-11-1-111-11i−i11-1-1-11-1-1-111−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1ii−i−i−i−i−i−iiiii-11i−i-1-111−i−iiiii−i−i-11−ii1-1i−iii−i−i11-1-1−i−iii11-1-1-1-111−i−iii-11i−i-111-1i−i
χ3211-1-111-1-111−i−iii1-11-111-1-1-1-11-1-111-11i−i11-1-1-11-1-1-111−i−i−i−iiiiiii−i−i−i−iii-1-111-1-111ii−i−i−i−i−i−iiiii-11i−i-1-111−i−iiiii−i−i1-1i−i1-1−iiii−i−i-1-111ii−i−i11-1-1-1-111ii−i−i1-1−ii1-1-11−ii
χ33222222222-1222222-1-12-12-122-1-1-12-12222-1-1-1-1-1-1-1222222-1-122-1-12222000000002222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200220000-1-1-1-1-1-1-1-1000000000000-1-1-1-1000000
χ34222222222-1222222-1-12-12-122-1-1-12-12222-1-1-1-1-1-1-1222222-1-122-1-1222200000000-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-20000111111110000000000001111000000
χ35222222222-1222222-1-12-12-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222-1-122-1-1-2-2-2-200000000222200000000000011111111-1-1-1-11111-2-22200-2-20000-1-1-1-1-1-1-1-10000000000001111000000
χ36222222222-1222222-1-12-12-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222-1-122-1-1-2-2-2-200000000-2-2-2-200000000000011111111-1-1-1-1111122-2-20022000011111111000000000000-1-1-1-1000000
χ37222222222-1-2-2-2-222-1-12-12-122-1-1-12-122-2-2-1-1-1-1-1-1-12222-2-211-2-211-2-2-2-2000000002222000000000000-1-111-1-1-1-11111111122-2-200-2-20000-1-1-1-11111000000000000-1-111000000
χ38222222222-1-2-2-2-222-1-12-12-122-1-1-12-122-2-2-1-1-1-1-1-1-12222-2-211-2-211-2-2-2-200000000-2-2-2-2000000000000-1-111-1-1-1-111111111-2-222002200001111-1-1-1-100000000000011-1-1000000
χ39222222222-1-2-2-2-222-1-12-12-122-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-2-2-211-2-211222200000000222200000000000011-1-111111111-1-1-1-1-2-2-2-200220000-1-1-1-1111100000000000011-1-1000000
χ40222222222-1-2-2-2-222-1-12-12-122-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-2-2-211-2-211222200000000-2-2-2-200000000000011-1-111111111-1-1-1-1222200-2-200001111-1-1-1-1000000000000-1-111000000
χ4122222222-122222-1-122-12-12-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-12222222200002222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002200-1-1-1-100000000-1-1-1-1-1-1-1-100000000000000
χ4222222222-122222-1-122-12-12-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2001111000000001111111100000000000000
χ4322222222-122222-1-122-12-12-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-11111-1-122-1-12211112222-2-2-2-20000-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111100002200111100000000-1-1-1-1111100000000000000
χ4422222222-122222-1-122-12-12-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-11111-1-122-1-1221111-2-2-2-222220000222211111111-2-2-2-21111-1-1-1-111110000-2-200-1-1-1-1000000001111-1-1-1-100000000000000
χ4522222222-12-2-2-2-2-1-122-12-12-1-1222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-111-2-211-2-211112222-2-2-2-200002222-1-1-1-1-1-1-1-122-2-2-1-1-1-1111111110000-2-200-1-1-1-1000000001111111100000000000000
χ4622222222-12-2-2-2-2-1-122-12-12-1-1222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-111-2-211-2-21111-2-2-2-222220000-2-2-2-21111111122-2-2-1-1-1-11111111100002200111100000000-1-1-1-1-1-1-1-100000000000000
χ4722222222-12-2-2-2-2-1-122-12-12-1-1222-1-1-2-222-1-1-1-1-1-1-1111111-2-211-2-2-1-1-1-1222222220000-2-2-2-2-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-10000-2-2001111000000001111-1-1-1-100000000000000
χ4822222222-12-2-2-2-2-1-122-12-12-1-1222-1-1-2-222-1-1-1-1-1-1-1111111-2-211-2-2-1-1-1-1-2-2-2-2-2-2-2-20000222211111111-2-22211111111-1-1-1-100002200-1-1-1-100000000-1-1-1-1111100000000000000
χ49222-2-2-22-2222-22-2-22-2-22222-2-2-22-2-220000-2-22-2-22200002-22-22-22-2000000002i−2i2i−2i00002i−2i2i−2i00000000000000002-22-20000000000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000
χ50222-2-2-22-2222-22-2-22-2-22222-2-2-22-2-220000-2-22-2-22200002-22-22-22-200000000−2i2i−2i2i0000−2i2i−2i2i00000000000000002-22-2000000000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000
χ51222-2-2-22-222-22-22-22-2-22222-2-2-22-2-220000-2-22-2-2220000-22-22-22-22000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000-22-22000000000000−2i2i−2i2i0000000000002i−2i2i−2i00000000000000
χ52222-2-2-22-222-22-22-22-2-22222-2-2-22-2-220000-2-22-2-2220000-22-22-22-2200000000−2i2i−2i2i00002i−2i2i−2i0000000000000000-22-220000000000002i−2i2i−2i000000000000−2i2i−2i2i00000000000000
χ53222-2-2-22-2-122-22-21-1-2-2-12-1211-22-21-1000011-111-1-1−i3i3−i3i3-112-2-112-2−i3i3−i3i300002i−2i2i−2i00002i−2i2i−2i33−3−333−3−30000−i3i3−i3i3-11-11−i3i3−i3i300000000−ii−ii000000003−33−3−ii−ii00000000000000
χ54222-2-2-22-2-122-22-21-1-2-2-12-1211-22-21-1000011-111-1-1−i3i3−i3i3-112-2-112-2−i3i3−i3i30000−2i2i−2i2i0000−2i2i−2i2i−3−333−3−3330000−i3i3−i3i3-11-11−i3i3−i3i300000000i−ii−i00000000−33−33i−ii−i00000000000000
χ55222-2-2-22-2-122-22-21-1-2-2-12-1211-22-21-1000011-111-1-1i3−i3i3−i3-112-2-112-2i3−i3i3−i300002i−2i2i−2i00002i−2i2i−2i−3−333−3−3330000i3−i3i3−i3-11-11i3−i3i3−i300000000−ii−ii00000000−33−33−ii−ii00000000000000
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χ1274-4-444-44-44-2000044-22-42-42-442-2-2-4-20000-22-22-222000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000002i−2i−2i2i00000000000000000000000000
χ1284-4-444-44-4-240000-2-24-42-42-42-2-4442-20000-22-22-22200000000000000004-4-44000000000000-22-222-22-20000000000000000000000000000000000000000000000000000000000
χ1294-4-444-44-4-240000-2-24-42-42-42-2-4442-20000-22-22-2220000000000000000-444-40000000000002-22-2-22-220000000000000000000000000000000000000000000000000000000000
χ1304-4-4-4-4444440000-44-44-4-4-4-44-444-4440000-4444-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-4-4-44444-20000-442-2-42-424-4-2-224-200002-2-2-222200000000000000000000000000000000000000000000000000000000000000000000000023−23−23230000000000000000000000
χ1324-4-4-4-44444-20000-442-2-42-424-4-2-224-200002-2-2-2222000000000000000000000000000000000000000000000000000000000000000000000000−232323−230000000000000000000000
χ1334-4-4-4-4444-2400002-2-442-42-4-2244-4-2-200002-2-2-22220000000000000000000000000000000023−23−2323−232323−230000000000000000000000000000000000000000000000000000000000
χ1344-4-4-4-4444-2400002-2-442-42-4-2244-4-2-200002-2-2-222200000000000000000000000000000000−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000
χ1358-888-88-8-8-4-40000444444-4-44-4-44-4-420000-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-88-88-8-88-4-40000-44-4-444-4-4-444444200002-2-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8-888-88-8-4-40000-4-4-4444444-44-4-44200002-22-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-8-8-8888-4-400004-44-44444-44-4-44-420000-2222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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