Finite Group Databasebeta

← Group #13178456

Character table — Group #13178456

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888181818181818181818181818181818181818181818181818181818181818181818181818363636363636363636363636363636363636
order1244233346668888121212121212333336666666612121212121212121212121212242424242424242424242424666661212121212242424242424242424242424242424242424242422222244444466888888888888121224242424242424246666612121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111-1-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-1-111
χ5111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111
χ7111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-111-1-1-111-1-11111-1-111
χ8111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-111111111-1-1
χ91111-1111-111111-1-111111111111-1-1-111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11111-1-111-1-111-1-11111111111-11-11-1-11-11-111-1-1-1-1-1-1
χ101111-1111-111111-1-111111111111-1-1-111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-11-111-1-11-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-11-1111-1-11111
χ111111-1111-111111-1-111111111111-1-1-111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-11-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1111-1-11-1-111-1-111
χ121111-1111-111111-1-111111111111-1-1-111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-111-11-111-1-1-11111-1-1
χ131111-1111-1111-1-11111111111111-1-1-111111-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-11-11-11-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-11-11-1-1-1111111
χ141111-1111-1111-1-11111111111111-1-1-111111-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-111-1-11-1111-1-11111-1-111-1-11111111111-1-11-11-1-11-11-1-111-1-1-1-1
χ151111-1111-1111-1-11111111111111-1-1-111111-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-11-111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1111-1-111-1-1
χ161111-1111-1111-1-11111111111111-1-1-111111-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-111-1-11-111-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11-111-11-111-111-1-1-1-111
χ1711-1-11111-1111i−ii−i-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i111-1-11-1-1-111-111i−ii−ii−ii−ii−ii−i-1-1ii−i−iii−i−i11-1-11-1-111-1i−ii−ii−ii−i
χ1811-1-11111-1111i−ii−i-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i11-111-1-1-11-1-1111i−ii−i−ii−ii−ii−ii-1-1−i−iii−i−iii1-111-1-11-1-11i−ii−i−ii−ii
χ1911-1-11111-1111i−ii−i-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i-1-11-11-111-11-11-1-1−ii−iii−ii−i−ii−ii11ii−i−i−i−iii-11-11-11-11-11−ii−iii−i−ii
χ2011-1-11111-1111i−ii−i-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i-1-1-11-11111-11-1-1-1−ii−ii−ii−iii−ii−i11−i−iiiii−i−i-1-11-1111-11-1−ii−ii−iii−i
χ2111-1-11111-1111−ii−ii-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii111-1-11-1-1-111-111−ii−ii−ii−ii−ii−ii-1-1−i−iii−i−iii11-1-11-1-111-1−ii−ii−ii−ii
χ2211-1-11111-1111−ii−ii-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii11-111-1-1-11-1-1111−ii−iii−ii−ii−ii−i-1-1ii−i−iii−i−i1-111-1-11-1-11−ii−iii−ii−i
χ2311-1-11111-1111−ii−ii-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii-1-11-11-111-11-11-1-1i−ii−i−ii−iii−ii−i11−i−iiiii−i−i-11-11-11-11-11i−ii−i−iii−i
χ2411-1-11111-1111−ii−ii-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii-1-1-11-11111-11-1-1-1i−ii−ii−ii−i−ii−ii11ii−i−i−i−iii-1-11-1111-11-1i−ii−ii−i−ii
χ2511-1-1-11111111i−i−ii-1-1-1-1-1-111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1iii−i−i−i−i−i−iiii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii1-111-1-1-11-1-11111i−i−iii−i−iii−i−ii-1-1ii−i−iii−i−i-111-1-11-1-111i−i−ii−ii−ii
χ2611-1-1-11111111i−i−ii-1-1-1-1-1-111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1iii−i−i−i−i−i−iiii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii1-1-1-111-1111-1-111i−i−ii−iii−i−iii−i-1-1−i−iii−i−iii-1-1-111111-1-1i−i−iii−ii−i
χ2711-1-1-11111111i−i−ii-1-1-1-1-1-111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1iii−i−i−i−i−i−iiii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii-1111111-1-1-1-1-1-1-1−iii−ii−i−ii−iii−i11ii−i−i−i−iii11111-1-1-1-1-1−iii−i−iii−i
χ2811-1-1-11111111i−i−ii-1-1-1-1-1-111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1iii−i−i−i−i−i−iiii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii-11-1-1-1-11-11111-1-1−iii−i−iii−ii−i−ii11−i−iiiii−i−i1-1-1-1-1-11111−iii−ii−i−ii
χ2911-1-1-11111111−iii−i-1-1-1-1-1-111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1−i−i−iiiiiii−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i1-111-1-1-11-1-11111−iii−i−iii−i−iii−i-1-1−i−iii−i−iii-111-1-11-1-111−iii−ii−ii−i
χ3011-1-1-11111111−iii−i-1-1-1-1-1-111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1−i−i−iiiiiii−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i1-1-1-111-1111-1-111−iii−ii−i−iii−i−ii-1-1ii−i−iii−i−i-1-1-111111-1-1−iii−i−ii−ii
χ3111-1-1-11111111−iii−i-1-1-1-1-1-111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1−i−i−iiiiiii−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-1111111-1-1-1-1-1-1-1i−i−ii−iii−ii−i−ii11−i−iiiii−i−i11111-1-1-1-1-1i−i−iii−i−ii
χ3211-1-1-11111111−iii−i-1-1-1-1-1-111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1−i−i−iiiiiii−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-11-1-1-1-11-11111-1-1i−i−iii−i−ii−iii−i11ii−i−i−i−iii1-1-1-1-1-11111i−i−ii−iii−i
χ332222222-1222-122222222-1-12-1-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1-1-122-122-122-122-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-100002200002200000000002222000000-1-1-1-1000-1-1000-1-1000000-1-1
χ342222222-1222-122222222-1-12-1-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1-1-122-122-122-122-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-10000-2-20000-2-20000000000-2-2-2-20000001111000110001100000011
χ352222222-1222-1-2-2-2-22222-1-12-1-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1-1-1-2-21-2-21-2-21-2-212-1-1-1-12-1-1-1-1-21111-21111-21111-211110000220000220000000000-2-2-2-20000001111000-1-1000-1-100000011
χ362222222-1222-1-2-2-2-22222-1-12-1-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1-1-1-2-21-2-21-2-21-2-212-1-1-1-12-1-1-1-1-21111-21111-21111-211110000-2-20000-2-200000000002222000000-1-1-1-10001100011000000-1-1
χ37222222-1222-12222222-1-122-12-1-1-12-12-12-1-1-12-12-1-122-1-1-1-1-1-12-122-122-122-12-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-10022000022000000002222000000-1-1-1-100000-1-1000-1-1000000-1-100
χ38222222-1222-12222222-1-122-12-1-1-12-12-12-1-1-12-12-1-122-1-1-1-1-1-12-122-122-122-12-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-100-2-20000-2-200000000-2-2-2-200000011110000011000110000001100
χ39222222-1222-12-2-2-2-222-1-122-12-1-1-12-12-12-1-1-12-12-1-122-1-1-1-1-1-1-21-2-21-2-21-2-21-2-12-1-1-1-12-1-1-11-21111-21111-21111-2111002200002200000000-2-2-2-2000000111100000-1-1000-1-10000001100
χ40222222-1222-12-2-2-2-222-1-122-12-1-1-12-12-12-1-1-12-12-1-122-1-1-1-1-1-1-21-2-21-2-21-2-21-2-12-1-1-1-12-1-1-11-21111-21111-21111-211100-2-20000-2-2000000002222000000-1-1-1-1000001100011000000-1-100
χ4122222-1222-1222222-1-12222-1-12-1-1-122-1-12-1-1-122-1-1-1-122-1-1-1-1-122-122-122-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1220000220000-1-1222200000000-1-100000000-10000-10000-1-1-1-10000
χ4222222-1222-1222222-1-12222-1-12-1-1-122-1-12-1-1-122-1-1-1-122-1-1-1-1-122-122-122-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-2-20000-2-2000011-2-2-2-2000000001100000000100001000011110000
χ4322222-1222-122-2-2-2-2-1-12222-1-12-1-1-122-1-12-1-1-122-1-1-1-122-1-1-1-11-2-21-2-21-2-21-2-2-1-12-1-1-1-12-1-111-21111-21111-21111-211220000220000-1-1-2-2-2-200000000-1-100000000-10000-1000011110000
χ4422222-1222-122-2-2-2-2-1-12222-1-12-1-1-122-1-12-1-1-122-1-1-1-122-1-1-1-11-2-21-2-21-2-21-2-2-1-12-1-1-1-12-1-111-21111-21111-21111-211-2-20000-2-200001122220000000011000000001000010000-1-1-1-10000
χ452222-222-1-222-122-2-22222-1-12-1-1-1-1-2-212-1-1-1-1-2-2122-1-1-1-1-1-1-1-122-122-1-2-21-2-21-21111-211112-1-1-1-12-1-1-1-1-21111-2111100002-200002-2000000000022-2-2000000-1-1-1-1000-11000-1100000011
χ462222-222-1-222-122-2-22222-1-12-1-1-1-1-2-212-1-1-1-1-2-2122-1-1-1-1-1-1-1-122-122-1-2-21-2-21-21111-211112-1-1-1-12-1-1-1-1-21111-211110000-220000-220000000000-2-22200000011110001-10001-1000000-1-1
χ472222-222-1-222-1-2-2222222-1-12-1-1-1-1-2-212-1-1-1-1-2-2122-1-1-1-1-1-1-1-1-2-21-2-2122-122-1-21111-21111-21111-211112-1-1-1-12-1-1-1-100002-200002-20000000000-2-2220000001111000-11000-11000000-1-1
χ482222-222-1-222-1-2-2222222-1-12-1-1-1-1-2-212-1-1-1-1-2-2122-1-1-1-1-1-1-1-1-2-21-2-2122-122-1-21111-21111-21111-211112-1-1-1-12-1-1-1-10000-220000-22000000000022-2-2000000-1-1-1-10001-10001-100000011
χ492222-22-12-22-1222-2-222-1-122-12-1-1-1-21-2-12-1-1-1-21-2-1-122-1-1-1-1-1-12-122-12-21-2-21-21-21111-2111-12-1-1-1-12-1-1-11-21111-2111002-200002-20000000022-2-2000000-1-1-1-100000-11000-110000001100
χ502222-22-12-22-1222-2-222-1-122-12-1-1-1-21-2-12-1-1-1-21-2-1-122-1-1-1-1-1-12-122-12-21-2-21-21-21111-2111-12-1-1-1-12-1-1-11-21111-211100-220000-2200000000-2-2220000001111000001-10001-1000000-1-100
χ512222-22-12-22-12-2-22222-1-122-12-1-1-1-21-2-12-1-1-1-21-2-1-122-1-1-1-1-1-1-21-2-21-22-122-121-21111-21111-21111-2111-12-1-1-1-12-1-1-1002-200002-200000000-2-222000000111100000-11000-11000000-1-100
χ522222-22-12-22-12-2-22222-1-122-12-1-1-1-21-2-12-1-1-1-21-2-1-122-1-1-1-1-1-1-21-2-21-22-122-121-21111-21111-21111-2111-12-1-1-1-12-1-1-100-220000-220000000022-2-2000000-1-1-1-1000001-10001-10000001100
χ532222-2-122-2-12222-2-2-1-12222-1-12-1-11-2-2-1-12-1-11-2-2-1-1-1-122-1-1-1-1-122-1221-2-21-2-211-21111-211-1-12-1-1-1-12-1-111-21111-2112-200002-20000-1-122-2-200000000-1-1000000001000010000-1-1110000
χ542222-2-122-2-12222-2-2-1-12222-1-12-1-11-2-2-1-12-1-11-2-2-1-1-1-122-1-1-1-1-122-1221-2-21-2-211-21111-211-1-12-1-1-1-12-1-111-21111-211-220000-22000011-2-222000000001100000000-10000-1000011-1-10000
χ552222-2-122-2-122-2-222-1-12222-1-12-1-11-2-2-1-12-1-11-2-2-1-1-1-122-1-1-1-11-2-21-2-2-122-12211-21111-21111-21111-211-1-12-1-1-1-12-1-12-200002-20000-1-1-2-22200000000-1-100000000100001000011-1-10000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.