Finite Group Databasebeta

← Group #11807523

Character table — Group #11807523

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222244444444444444444444444444446666666666666666666666668888888888888888121212121212121212121212121212121212121212121212121212121818181824242424363636363636
order1222222233444466666666666666223446666666666612121212121212121212121244444444444444441212121212121212666666121212121212121212122244444412121212121212121212121212121212121212124444661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111-1-11-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111-1-11-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ71111111111111111111111111111-1-11-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-11-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1
χ101111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111
χ111111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ121111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1
χ131111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111
χ141111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-111-1-1
χ151111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ161111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ1711-1-11-1-1111ii−i−i1-111-1-1-1-1111-1-1-11-11i−i11-1-1111-1-1-1-1iiii−i−i−i−iii−i−iii−i−iii−i−iii−i−i11-1-1iiii−i−i−i−i1-111-1-1i−iii−i−iii−i−i1-11-1i−i1-111-1-111-1-1ii−i−i11-1-1ii−i−i11-1-11-1i−i1-1i−ii−i
χ1811-1-11-1-1111ii−i−i1-111-1-1-1-1111-1-1-11-11i−i11-1-1111-1-1-1-1iiii−i−i−i−iii−i−iii−i−iii−i−i−i−iii11-1-1iiii−i−i−i−i1-111-1-1i−iii−i−iii−i−i-111-1−ii-1111-1-111-1-1−i−iii-1-111ii−i−i-1-111-11−ii-11−ii−ii
χ1911-1-11-1-1111ii−i−i1-111-1-1-1-1111-1-1-11-11i−i11-1-1111-1-1-1-1iiii−i−i−i−iii−i−i−i−iii−i−iiiii−i−i-1-111−i−i−i−iiiii1-111-1-1i−iii−i−iii−i−i1-1-11i−i1-1-1-111-1-111ii−i−i11-1-1−i−iii-1-1111-1i−i-11−ii−ii
χ2011-1-11-1-1111ii−i−i1-111-1-1-1-1111-1-1-11-11i−i11-1-1111-1-1-1-1iiii−i−i−i−iii−i−i−i−iii−i−iii−i−iii-1-111−i−i−i−iiiii1-111-1-1i−iii−i−iii−i−i-11-11−ii-11-1-111-1-111−i−iii-1-111−i−iii11-1-1-11−ii1-1i−ii−i
χ2111-1-11-1-1111ii−i−i1-111-1-1-1-1111-1-1-1-111−ii-1-111111-1-1-1-1iiii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i11-1-1−i−i−i−iiiii-11-1-111−iiii−i−i−i−iii-11-11−ii1-111-1-1-1-111ii−i−i11-1-1ii−i−i-1-111-11−ii1-1i−i−ii
χ2211-1-11-1-1111ii−i−i1-111-1-1-1-1111-1-1-1-111−ii-1-111111-1-1-1-1iiii−i−i−i−i−i−iiiii−i−i−i−iii−i−iii11-1-1−i−i−i−iiiii-11-1-111−iiii−i−i−i−iii1-1-11i−i-1111-1-1-1-111−i−iii-1-111ii−i−i11-1-11-1i−i-11−iii−i
χ2311-1-11-1-1111ii−i−i1-111-1-1-1-1111-1-1-1-111−ii-1-111111-1-1-1-1iiii−i−i−i−i−i−iii−i−iiiii−i−iii−i−i-1-111iiii−i−i−i−i-11-1-111−iiii−i−i−i−iii-111-1−ii1-1-1-11111-1-1ii−i−i11-1-1−i−iii11-1-1-11−ii-11−iii−i
χ2411-1-11-1-1111ii−i−i1-111-1-1-1-1111-1-1-1-111−ii-1-111111-1-1-1-1iiii−i−i−i−i−i−iii−i−iiiii−i−i−i−iii-1-111iiii−i−i−i−i-11-1-111−iiii−i−i−i−iii1-11-1i−i-11-1-11111-1-1−i−iii-1-111−i−iii-1-1111-1i−i1-1i−i−ii
χ2511-1-11-1-1111−i−iii1-111-1-1-1-1111-1-1-11-11−ii11-1-1111-1-1-1-1−i−i−i−iiiii−i−iiiii−i−iii−i−iii−i−i-1-111iiii−i−i−i−i1-111-1-1−ii−i−iii−i−iii-11-11i−i-11-1-111-1-111ii−i−i-1-111ii−i−i11-1-1-11i−i1-1−ii−ii
χ2611-1-11-1-1111−i−iii1-111-1-1-1-1111-1-1-11-11−ii11-1-1111-1-1-1-1−i−i−i−iiiii−i−iiiii−i−iii−i−i−i−iii-1-111iiii−i−i−i−i1-111-1-1−ii−i−iii−i−iii1-1-11−ii1-1-1-111-1-111−i−iii11-1-1ii−i−i-1-1111-1−ii-11i−ii−i
χ2711-1-11-1-1111−i−iii1-111-1-1-1-1111-1-1-11-11−ii11-1-1111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−iiiii−i−i11-1-1−i−i−i−iiiii1-111-1-1−ii−i−iii−i−iii-111-1i−i-1111-1-111-1-1ii−i−i-1-111−i−iii-1-111-11i−i-11i−ii−i
χ2811-1-11-1-1111−i−iii1-111-1-1-1-1111-1-1-11-11−ii11-1-1111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−iii−i−iii11-1-1−i−i−i−iiiii1-111-1-1−ii−i−iii−i−iii1-11-1−ii1-111-1-111-1-1−i−iii11-1-1−i−iii11-1-11-1−ii1-1−ii−ii
χ2911-1-11-1-1111−i−iii1-111-1-1-1-1111-1-1-1-111i−i-1-111111-1-1-1-1−i−i−i−iiiiiii−i−iii−i−i−i−iiiii−i−i-1-111−i−i−i−iiiii-11-1-111i−i−i−iiiii−i−i1-11-1−ii-11-1-11111-1-1ii−i−i-1-111ii−i−i-1-1111-1−ii1-1−iii−i
χ3011-1-11-1-1111−i−iii1-111-1-1-1-1111-1-1-1-111i−i-1-111111-1-1-1-1−i−i−i−iiiiiii−i−iii−i−i−i−iii−i−iii-1-111−i−i−i−iiiii-11-1-111i−i−i−iiiii−i−i-111-1i−i1-1-1-11111-1-1−i−iii11-1-1ii−i−i11-1-1-11i−i-11i−i−ii
χ3111-1-11-1-1111−i−iii1-111-1-1-1-1111-1-1-1-111i−i-1-111111-1-1-1-1−i−i−i−iiiiiii−i−i−i−iiiii−i−iii−i−i11-1-1iiii−i−i−i−i-11-1-111i−i−i−iiiii−i−i1-1-11−ii-1111-1-1-1-111ii−i−i-1-111−i−iii11-1-11-1−ii-11i−i−ii
χ3211-1-11-1-1111−i−iii1-111-1-1-1-1111-1-1-1-111i−i-1-111111-1-1-1-1−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−iii11-1-1iiii−i−i−i−i-11-1-111i−i−i−iiiii−i−i-11-11i−i1-111-1-1-1-111−i−iii11-1-1−i−iii-1-111-11i−i1-1−iii−i
χ33222222222-1222222-1-1-122-122-1-1-1222-1222222-1-1-1-1-1-1-122-1-122-1-12222000000002222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200222200000000-1-1-1-1-1-1-1-100000000-1-1-1-1000000
χ34222222222-1222222-1-1-122-122-1-1-1222-1222222-1-1-1-1-1-1-122-1-122-1-1222200000000-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-20000000011111111000000001111000000
χ35222222222-1222222-1-1-122-122-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-122-1-122-1-1-2-2-2-200000000222200000000000011111111-1-1-1-11111-2-200-2-22200000000-1-1-1-1-1-1-1-1000000001111000000
χ36222222222-1222222-1-1-122-122-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-122-1-122-1-1-2-2-2-200000000-2-2-2-200000000000011111111-1-1-1-11111220022-2-2000000001111111100000000-1-1-1-1000000
χ37222222222-1-2-2-2-222-1-1-122-122-1-1-1222-1-2-22222-1-1-1-1-1-1-1-2-211-2-211-2-2-2-2000000002222000000000000-1-1-1-1-1-11111111111-2-20022-2-200000000-1-1-1-111110000000011-1-1000000
χ38222222222-1-2-2-2-222-1-1-122-122-1-1-1222-1-2-22222-1-1-1-1-1-1-1-2-211-2-211-2-2-2-200000000-2-2-2-2000000000000-1-1-1-1-1-111111111112200-2-222000000001111-1-1-1-100000000-1-111000000
χ39222222222-1-2-2-2-222-1-1-122-122-1-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-1-2-211-2-2112222000000002222000000000000111111-1-11111-1-1-1-12200-2-2-2-200000000-1-1-1-1111100000000-1-111000000
χ40222222222-1-2-2-2-222-1-1-122-122-1-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-1-2-211-2-211222200000000-2-2-2-2000000000000111111-1-11111-1-1-1-1-2-2002222000000001111-1-1-1-10000000011-1-1000000
χ4122222222-122222-1-1222-1-12-1-1222-122-122-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-12222222200002222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-100220000-1-1-1-1-1-1-1-100000000-1-1-1-100000000000000
χ4222222222-122222-1-1222-1-12-1-1222-122-122-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-21111111122-1-1-1-122-1-1-1-1-1-1-1-100-2-200001111111100000000111100000000000000
χ4322222222-122222-1-1222-1-12-1-1222-1-2-2-1-2-21111-1-1-1-1-1-1-1-1-122-1-12211112222-2-2-2-20000222211111111-2-21111-2-2-1-1-1-1111100-2-20000-1-1-1-1111100000000-1-1-1-100000000000000
χ4422222222-122222-1-1222-1-12-1-1222-1-2-2-1-2-21111-1-1-1-1-1-1-1-1-122-1-1221111-2-2-2-222220000-2-2-2-2-1-1-1-1-1-1-1-1-2-21111-2-2-1-1-1-11111002200001111-1-1-1-100000000111100000000000000
χ4522222222-12-2-2-2-2-1-1222-1-12-1-1222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-111-2-211-2-21111222222220000-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-2-21111111100-2-200001111111100000000-1-1-1-100000000000000
χ4622222222-12-2-2-2-2-1-1222-1-12-1-1222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-111-2-211-2-21111-2-2-2-2-2-2-2-2000022221111111122-1-1-1-1-2-21111111100220000-1-1-1-1-1-1-1-100000000111100000000000000
χ4722222222-12-2-2-2-2-1-1222-1-12-1-1222-1-2-2-1221111-1-1-1-1-1-1-111-2-211-2-2-1-1-1-12222-2-2-2-20000-2-2-2-211111111-2-21111221111-1-1-1-1002200001111-1-1-1-100000000-1-1-1-100000000000000
χ4822222222-12-2-2-2-2-1-1222-1-12-1-1222-1-2-2-1221111-1-1-1-1-1-1-111-2-211-2-2-1-1-1-1-2-2-2-2222200002222-1-1-1-1-1-1-1-1-2-21111221111-1-1-1-100-2-20000-1-1-1-1111100000000111100000000000000
χ49222-2-2-22-2220000-222-2-22-2-22-2-222-20020000002-2-22-22-200000000000000002i−2i2i−2i2-22-200002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000002-22-2000000002i−2i2i−2i0000000000
χ50222-2-2-22-2220000-222-2-22-2-22-2-222-20020000002-2-22-22-200000000000000002i−2i2i−2i-22-2200002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000-22-2200000000−2i2i−2i2i0000000000
χ51222-2-2-22-2220000-222-2-22-2-22-2-222-20020000002-2-22-22-20000000000000000−2i2i−2i2i2-22-20000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000002-22-200000000−2i2i−2i2i0000000000
χ52222-2-2-22-2220000-222-2-22-2-22-2-222-20020000002-2-22-22-20000000000000000−2i2i−2i2i-22-220000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000-22-22000000002i−2i2i−2i0000000000
χ5322-22-22-2-2220000-2-22-22-2222-2-2-2-220020000002-2-2-22-2200000000000000002-2-222i−2i−2i2i000022-2-2-2-222000000000000000000000000000000002i−2i−2i2i00000000−2i2i2i−2i0000000000
χ5422-22-22-2-2220000-2-22-22-2222-2-2-2-220020000002-2-2-22-2200000000000000002-2-22−2i2i2i−2i000022-2-2-2-22200000000000000000000000000000000−2i2i2i−2i000000002i−2i−2i2i0000000000
χ5522-22-22-2-2220000-2-22-22-2222-2-2-2-220020000002-2-2-22-220000000000000000-222-22i−2i−2i2i0000-2-22222-2-2000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i0000000000
χ5622-22-22-2-2220000-2-22-22-2222-2-2-2-220020000002-2-2-22-220000000000000000-222-2−2i2i2i−2i0000-2-22222-2-200000000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i0000000000
χ5722-2-22-2-222-12i2i−2i−2i2-2-1-11-2-2122-111-22-2-12i−2i22-2-2-1-1-111112i2i−i−i−2i−2iii2i2i−2i−2i000000002i2i−2i−2i000000000000-11-1-111−ii−i−iii−i−iii2-2002i−2i2-200000000−i−iii-1-11100000000-11−ii000000
χ5822-2-22-2-222-12i2i−2i−2i2-2-1-11-2-2122-111-22-2-12i−2i22-2-2-1-1-111112i2i−i−i−2i−2iii2i2i−2i−2i00000000−2i−2i2i2i000000000000-11-1-111−ii−i−iii−i−iii-2200−2i2i-2200000000ii−i−i11-1-1000000001-1i−i000000
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χ1314-4-4-4-44444-20000-44222-44-2-44-2-22-400-200000022-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000
χ1324-4-4-4-44444-20000-44222-44-2-44-2-22-400-200000022-2-222-20000000000000000000000000000000000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000
χ1334-4-4-4-4444-2400002-2-4-4-42-242-244-4200-200000022-2-222-2000000000000000000000000000023−23−2323−232323−230000000000000000000000000000000000000000000000000000000000
χ1344-4-4-4-4444-2400002-2-4-4-42-242-244-4200-200000022-2-222-20000000000000000000000000000−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000
χ135888-8-8-88-8-4-400004-4-444-444-444-4-440020000002-2-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-88-88-8-8-4-4000044-44-44-4-4-44444-40020000002-2-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-888-8-8-88-4-400004444-4-4444-4-44-4-4002000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-8-8-8888-4-400004-44444-4-44-4-4-444002000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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