Finite Group Databasebeta

← Group #11859298

Character table — Group #11859298

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111224444444488889999121212121212121218181818181818181818242424242424242411112244444444888899991212121212121212181818181818181818182424242424242424
order1244883366121212122424242422442244888844448888886612122424242422448866661212121224242424224422448888444488888866121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-11-111-1-1-1-1-1-111-1-1-1-11-11-111-1-111111111111111111111111-11-111-1-1-1-1-1-111-1-1-1-11-11-111-1-1
χ31111111111111111111111-11-11-1-111-1-1-1-111-1-1-1-1-11-11-1-1111111111111111111111111-11-11-1-111-1-1-1-111-1-1-1-1-11-11-1-111
χ41111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ51111-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111-1-111111111-1-1-1-111111-11-1-1-111-1-1-1-1-1-111111-11-1-1-1111111-1-111111111-1-1-1-111111-11-1-1-111-1-1-1-1-1-111111-11-1-1-111
χ71111-1-111111111-1-1-1-11111-11-1111-1-1-1-1-1-1-1-11111-11-1111-1-11111-1-111111111-1-1-1-11111-11-1111-1-1-1-1-1-1-1-11111-11-1111-1-1
χ81111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ911-1-1i−i1111-1-1-1-1ii−i−i11-1-111-1-1i−ii−i11-1-1i−iii−i−i11-1-1i−ii−i11-1-1i−i1111-1-1-1-1ii−i−i11-1-111-1-1i−ii−i11-1-1i−iii−i−i11-1-1i−ii−i
χ1011-1-1i−i1111-1-1-1-1ii−i−i11-1-11-1-11i−i−ii-1-111i−i−i−iii1-1-11i−i−ii11-1-1i−i1111-1-1-1-1ii−i−i11-1-11-1-11i−i−ii-1-111i−i−i−iii1-1-11i−i−ii
χ1111-1-1i−i1111-1-1-1-1ii−i−i11-1-1-111-1−iii−i-1-111i−i−i−iii-111-1−iii−i11-1-1i−i1111-1-1-1-1ii−i−i11-1-1-111-1−iii−i-1-111i−i−i−iii-111-1−iii−i
χ1211-1-1i−i1111-1-1-1-1ii−i−i11-1-1-1-111−ii−ii11-1-1i−iii−i−i-1-111−ii−ii11-1-1i−i1111-1-1-1-1ii−i−i11-1-1-1-111−ii−ii11-1-1i−iii−i−i-1-111−ii−ii
χ1311-1-1−ii1111-1-1-1-1−i−iii11-1-111-1-1−ii−ii11-1-1−ii−i−iii11-1-1−ii−ii11-1-1−ii1111-1-1-1-1−i−iii11-1-111-1-1−ii−ii11-1-1−ii−i−iii11-1-1−ii−ii
χ1411-1-1−ii1111-1-1-1-1−i−iii11-1-11-1-11−iii−i-1-111−iiii−i−i1-1-11−iii−i11-1-1−ii1111-1-1-1-1−i−iii11-1-11-1-11−iii−i-1-111−iiii−i−i1-1-11−iii−i
χ1511-1-1−ii1111-1-1-1-1−i−iii11-1-1-111-1i−i−ii-1-111−iiii−i−i-111-1i−i−ii11-1-1−ii1111-1-1-1-1−i−iii11-1-1-111-1i−i−ii-1-111−iiii−i−i-111-1i−i−ii
χ1611-1-1−ii1111-1-1-1-1−i−iii11-1-1-1-111i−ii−i11-1-1−ii−i−iii-1-111i−ii−i11-1-1−ii1111-1-1-1-1−i−iii11-1-1-1-111i−ii−i11-1-1−ii−i−iii-1-111i−ii−i
χ17222222222222222222-2-2-2-2000000000000-2-2000000000000222222222222222222-2-2-2-2000000000000-2-2000000000000
χ182222-2-222222222-2-2-2-2-2-2-2-2000000000000220000000000002222-2-222222222-2-2-2-2-2-2-2-200000000000022000000000000
χ1922-2-22i−2i2222-2-2-2-22i2i−2i−2i-2-222000000000000−2i2i00000000000022-2-22i−2i2222-2-2-2-22i2i−2i−2i-2-222000000000000−2i2i000000000000
χ2022-2-2−2i2i2222-2-2-2-2−2i−2i2i2i-2-2220000000000002i−2i00000000000022-2-2−2i2i2222-2-2-2-2−2i−2i2i2i-2-2220000000000002i−2i000000000000
χ212-22i−2i0022-2-22i2i−2i−2i00002-22i−2i000000000000002ζ3−2ζ32ζ−2ζ000000002-22i−2i0022-2-22i2i−2i−2i00002-22i−2i000000000000002ζ3−2ζ32ζ−2ζ00000000
χ222-22i−2i0022-2-22i2i−2i−2i00002-22i−2i00000000000000−2ζ32ζ3−2ζ2ζ000000002-22i−2i0022-2-22i2i−2i−2i00002-22i−2i00000000000000−2ζ32ζ3−2ζ2ζ00000000
χ232-22i−2i0022-2-22i2i−2i−2i0000-22−2i2i000000002-22i−2i000000000000002-22i−2i0022-2-22i2i−2i−2i0000-22−2i2i000000002-22i−2i00000000000000
χ242-22i−2i0022-2-22i2i−2i−2i0000-22−2i2i00000000-22−2i2i000000000000002-22i−2i0022-2-22i2i−2i−2i0000-22−2i2i00000000-22−2i2i00000000000000
χ252-2−2i2i0022-2-2−2i−2i2i2i00002-2−2i2i000000000000002ζ−2ζ2ζ3−2ζ3000000002-2−2i2i0022-2-2−2i−2i2i2i00002-2−2i2i000000000000002ζ−2ζ2ζ3−2ζ300000000
χ262-2−2i2i0022-2-2−2i−2i2i2i00002-2−2i2i00000000000000−2ζ2ζ−2ζ32ζ3000000002-2−2i2i0022-2-2−2i−2i2i2i00002-2−2i2i00000000000000−2ζ2ζ−2ζ32ζ300000000
χ272-2−2i2i0022-2-2−2i−2i2i2i0000-222i−2i000000002-2−2i2i000000000000002-2−2i2i0022-2-2−2i−2i2i2i0000-222i−2i000000002-2−2i2i00000000000000
χ282-2−2i2i0022-2-2−2i−2i2i2i0000-222i−2i00000000-222i−2i000000000000002-2−2i2i0022-2-2−2i−2i2i2i0000-222i−2i00000000-222i−2i00000000000000
χ294444441-21-21-21-21-21-200000202002200000000000-10-100-1-14444441-21-21-21-21-21-200000202002200000000000-10-100-1-1
χ304444441-21-21-21-21-21-200000-20-200-2-20000000000010100114444441-21-21-21-21-21-200000-20-200-2-2000000000001010011
χ31444444-21-21-21-21-21-210000202022000000000000-10-10-1-100444444-21-21-21-21-21-210000202022000000000000-10-10-1-100
χ32444444-21-21-21-21-21-210000-20-20-2-200000000000010101100444444-21-21-21-21-21-210000-20-20-2-200000000000010101100
χ334444-4-41-21-21-21-2-12-120000020200-2-200000000000-10-100114444-4-41-21-21-21-2-12-120000020200-2-200000000000-10-10011
χ344444-4-41-21-21-21-2-12-1200000-20-200220000000000010100-1-14444-4-41-21-21-21-2-12-1200000-20-200220000000000010100-1-1
χ354444-4-4-21-21-21-212-12-100002020-2-2000000000000-10-1011004444-4-4-21-21-21-212-12-100002020-2-2000000000000-10-101100
χ364444-4-4-21-21-21-212-12-10000-20-20220000000000001010-1-1004444-4-4-21-21-21-212-12-10000-20-20220000000000001010-1-100
χ3744-4-44i−4i1-21-2-12-12i−2i−i2i0000020-2002i−2i00000000000-10100−ii44-4-44i−4i1-21-2-12-12i−2i−i2i0000020-2002i−2i00000000000-10100−ii
χ3844-4-44i−4i1-21-2-12-12i−2i−i2i00000-20200−2i2i0000000000010-100i−i44-4-44i−4i1-21-2-12-12i−2i−i2i00000-20200−2i2i0000000000010-100i−i
χ3944-4-44i−4i-21-212-12-1−2ii2i−i000020-202i−2i000000000000-1010−ii0044-4-44i−4i-21-212-12-1−2ii2i−i000020-202i−2i000000000000-1010−ii00
χ4044-4-44i−4i-21-212-12-1−2ii2i−i0000-2020−2i2i00000000000010-10i−i0044-4-44i−4i-21-212-12-1−2ii2i−i0000-2020−2i2i00000000000010-10i−i00
χ4144-4-4−4i4i1-21-2-12-12−i2ii−2i0000020-200−2i2i00000000000-10100i−i44-4-4−4i4i1-21-2-12-12−i2ii−2i0000020-200−2i2i00000000000-10100i−i
χ4244-4-4−4i4i1-21-2-12-12−i2ii−2i00000-202002i−2i0000000000010-100−ii44-4-4−4i4i1-21-2-12-12−i2ii−2i00000-202002i−2i0000000000010-100−ii
χ4344-4-4−4i4i-21-212-12-12i−i−2ii000020-20−2i2i000000000000-1010i−i0044-4-4−4i4i-21-212-12-12i−i−2ii000020-20−2i2i000000000000-1010i−i00
χ4444-4-4−4i4i-21-212-12-12i−i−2ii0000-20202i−2i00000000000010-10−ii0044-4-4−4i4i-21-212-12-12i−i−2ii0000-20202i−2i00000000000010-10−ii00
χ458-88i−8i002-4-242i−4i−2i4i00000000000000000000000000000000008-88i−8i002-4-242i−4i−2i4i0000000000000000000000000000000000
χ468-88i−8i00-424-2−4i2i4i−2i00000000000000000000000000000000008-88i−8i00-424-2−4i2i4i−2i0000000000000000000000000000000000
χ478-8−8i8i002-4-24−2i4i2i−4i00000000000000000000000000000000008-8−8i8i002-4-24−2i4i2i−4i0000000000000000000000000000000000
χ488-8−8i8i00-424-24i−2i−4i2i00000000000000000000000000000000008-8−8i8i00-424-24i−2i−4i2i0000000000000000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5011111111111111111111111-11-111-1-1-1-1-1-111-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111-1-11111-11-11-1-111
χ511111111111111111111111-11-11-1-111-1-1-1-111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-111111-11-111-1-1
χ521111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111
χ531111-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111
χ541111-1-111111111-1-1-1-111111-11-1-1-111-1-1-1-1-1-111111-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1111111-1-1-1-1-11-1111-1-1
χ551111-1-111111111-1-1-1-11111-11-1111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-111111111-1-1-1-11-11-1-1-111
χ561111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ5711-1-1i−i1111-1-1-1-1ii−i−i11-1-111-1-1i−ii−i11-1-1i−iii−i−i11-1-1i−ii−i-1-111−ii-1-1-1-11111−i−iii-1-111-1-111−ii−ii-1-111−ii−i−iii-1-111−ii−ii
χ5811-1-1i−i1111-1-1-1-1ii−i−i11-1-11-1-11i−i−ii-1-111i−i−i−iii1-1-11i−i−ii-1-111−ii-1-1-1-11111−i−iii-1-111-111-1−iii−i11-1-1−iiii−i−i-111-1−iii−i
χ5911-1-1i−i1111-1-1-1-1ii−i−i11-1-1-111-1−iii−i-1-111i−i−i−iii-111-1−iii−i-1-111−ii-1-1-1-11111−i−iii-1-1111-1-11i−i−ii11-1-1−iiii−i−i1-1-11i−i−ii
χ6011-1-1i−i1111-1-1-1-1ii−i−i11-1-1-1-111−ii−ii11-1-1i−iii−i−i-1-111−ii−ii-1-111−ii-1-1-1-11111−i−iii-1-11111-1-1i−ii−i-1-111−ii−i−iii11-1-1i−ii−i
χ6111-1-1−ii1111-1-1-1-1−i−iii11-1-111-1-1−ii−ii11-1-1−ii−i−iii11-1-1−ii−ii-1-111i−i-1-1-1-11111ii−i−i-1-111-1-111i−ii−i-1-111i−iii−i−i-1-111i−ii−i
χ6211-1-1−ii1111-1-1-1-1−i−iii11-1-11-1-11−iii−i-1-111−iiii−i−i1-1-11−iii−i-1-111i−i-1-1-1-11111ii−i−i-1-111-111-1i−i−ii11-1-1i−i−i−iii-111-1i−i−ii
χ6311-1-1−ii1111-1-1-1-1−i−iii11-1-1-111-1i−i−ii-1-111−iiii−i−i-111-1i−i−ii-1-111i−i-1-1-1-11111ii−i−i-1-1111-1-11−iii−i11-1-1i−i−i−iii1-1-11−iii−i
χ6411-1-1−ii1111-1-1-1-1−i−iii11-1-1-1-111i−ii−i11-1-1−ii−i−iii-1-111i−ii−i-1-111i−i-1-1-1-11111ii−i−i-1-11111-1-1−ii−ii-1-111i−iii−i−i11-1-1−ii−ii
χ65222222222222222222-2-2-2-2000000000000-2-2000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000022000000000000
χ662222-2-222222222-2-2-2-2-2-2-2-200000000000022000000000000-2-2-2-222-2-2-2-2-2-2-2-222222222000000000000-2-2000000000000
χ6722-2-22i−2i2222-2-2-2-22i2i−2i−2i-2-222000000000000−2i2i000000000000-2-222−2i2i-2-2-2-22222−2i−2i2i2i22-2-20000000000002i−2i000000000000
χ6822-2-2−2i2i2222-2-2-2-2−2i−2i2i2i-2-2220000000000002i−2i000000000000-2-2222i−2i-2-2-2-222222i2i−2i−2i22-2-2000000000000−2i2i000000000000
χ692-22i−2i0022-2-22i2i−2i−2i00002-22i−2i000000000000002ζ3−2ζ32ζ−2ζ00000000-22−2i2i00-2-222−2i−2i2i2i0000-22−2i2i00000000000000−2ζ32ζ3−2ζ2ζ00000000
χ702-22i−2i0022-2-22i2i−2i−2i00002-22i−2i00000000000000−2ζ32ζ3−2ζ2ζ00000000-22−2i2i00-2-222−2i−2i2i2i0000-22−2i2i000000000000002ζ3−2ζ32ζ−2ζ00000000
χ712-22i−2i0022-2-22i2i−2i−2i0000-22−2i2i000000002-22i−2i00000000000000-22−2i2i00-2-222−2i−2i2i2i00002-22i−2i00000000-22−2i2i00000000000000
χ722-22i−2i0022-2-22i2i−2i−2i0000-22−2i2i00000000-22−2i2i00000000000000-22−2i2i00-2-222−2i−2i2i2i00002-22i−2i000000002-22i−2i00000000000000
χ732-2−2i2i0022-2-2−2i−2i2i2i00002-2−2i2i000000000000002ζ−2ζ2ζ3−2ζ300000000-222i−2i00-2-2222i2i−2i−2i0000-222i−2i00000000000000−2ζ2ζ−2ζ32ζ300000000
χ742-2−2i2i0022-2-2−2i−2i2i2i00002-2−2i2i00000000000000−2ζ2ζ−2ζ32ζ300000000-222i−2i00-2-2222i2i−2i−2i0000-222i−2i000000000000002ζ−2ζ2ζ3−2ζ300000000
χ752-2−2i2i0022-2-2−2i−2i2i2i0000-222i−2i000000002-2−2i2i00000000000000-222i−2i00-2-2222i2i−2i−2i00002-2−2i2i00000000-222i−2i00000000000000
χ762-2−2i2i0022-2-2−2i−2i2i2i0000-222i−2i00000000-222i−2i00000000000000-222i−2i00-2-2222i2i−2i−2i00002-2−2i2i000000002-2−2i2i00000000000000
χ774444441-21-21-21-21-21-200000202002200000000000-10-100-1-1-4-4-4-4-4-4-12-12-12-12-12-1200000-20-200-2-2000000000001010011
χ784444441-21-21-21-21-21-200000-20-200-2-2000000000001010011-4-4-4-4-4-4-12-12-12-12-12-1200000202002200000000000-10-100-1-1
χ79444444-21-21-21-21-21-210000202022000000000000-10-10-1-100-4-4-4-4-4-42-12-12-12-12-12-10000-20-20-2-200000000000010101100
χ80444444-21-21-21-21-21-210000-20-20-2-200000000000010101100-4-4-4-4-4-42-12-12-12-12-12-10000202022000000000000-10-10-1-100
χ814444-4-41-21-21-21-2-12-120000020200-2-200000000000-10-10011-4-4-4-444-12-12-12-121-21-200000-20-200220000000000010100-1-1
χ824444-4-41-21-21-21-2-12-1200000-20-200220000000000010100-1-1-4-4-4-444-12-12-12-121-21-20000020200-2-200000000000-10-10011
χ834444-4-4-21-21-21-212-12-100002020-2-2000000000000-10-101100-4-4-4-4442-12-12-12-1-21-210000-20-20220000000000001010-1-100
χ844444-4-4-21-21-21-212-12-10000-20-20220000000000001010-1-100-4-4-4-4442-12-12-12-1-21-2100002020-2-2000000000000-10-101100
χ8544-4-44i−4i1-21-2-12-12i−2i−i2i0000020-2002i−2i00000000000-10100−ii-4-444−4i4i-12-121-21-2−i2ii−2i00000-20200−2i2i0000000000010-100i−i
χ8644-4-44i−4i1-21-2-12-12i−2i−i2i00000-20200−2i2i0000000000010-100i−i-4-444−4i4i-12-121-21-2−i2ii−2i0000020-2002i−2i00000000000-10100−ii
χ8744-4-44i−4i-21-212-12-1−2ii2i−i000020-202i−2i000000000000-1010−ii00-4-444−4i4i2-12-1-21-212i−i−2ii0000-2020−2i2i00000000000010-10i−i00
χ8844-4-44i−4i-21-212-12-1−2ii2i−i0000-2020−2i2i00000000000010-10i−i00-4-444−4i4i2-12-1-21-212i−i−2ii000020-202i−2i000000000000-1010−ii00
χ8944-4-4−4i4i1-21-2-12-12−i2ii−2i0000020-200−2i2i00000000000-10100i−i-4-4444i−4i-12-121-21-2i−2i−i2i00000-202002i−2i0000000000010-100−ii
χ9044-4-4−4i4i1-21-2-12-12−i2ii−2i00000-202002i−2i0000000000010-100−ii-4-4444i−4i-12-121-21-2i−2i−i2i0000020-200−2i2i00000000000-10100i−i
χ9144-4-4−4i4i-21-212-12-12i−i−2ii000020-20−2i2i000000000000-1010i−i00-4-4444i−4i2-12-1-21-21−2ii2i−i0000-20202i−2i00000000000010-10−ii00
χ9244-4-4−4i4i-21-212-12-12i−i−2ii0000-20202i−2i00000000000010-10−ii00-4-4444i−4i2-12-1-21-21−2ii2i−i000020-20−2i2i000000000000-1010i−i00
χ938-88i−8i002-4-242i−4i−2i4i0000000000000000000000000000000000-88−8i8i00-242-4−2i4i2i−4i0000000000000000000000000000000000
χ948-88i−8i00-424-2−4i2i4i−2i0000000000000000000000000000000000-88−8i8i004-2-424i−2i−4i2i0000000000000000000000000000000000
χ958-8−8i8i002-4-24−2i4i2i−4i0000000000000000000000000000000000-888i−8i00-242-42i−4i−2i4i0000000000000000000000000000000000
χ968-8−8i8i00-424-24i−2i−4i2i0000000000000000000000000000000000-888i−8i004-2-42−4i2i4i−2i0000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.