Finite Group Databasebeta

← Group #11861014

Character table — Group #11861014

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222244444444446666666688888888889999121212121212121212121212181824242424363611112222222222444444444466666666888888888899991212121212121212121212121818242424243636
order124423346612121212234666121212124444888866666121212121288882488121212122424242488612242488224426646612121212264666121212124444888866666121212121288882488121212122424242488612242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ511111111111111-11-1111111111111111-1-11-1-1-1-11-1-11111-1-1-1-11111111111-1-1-1-1-1-111111111111111-11-1111111111111111-1-11-1-1-1-11-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ611111111111111-11-111111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111111111111111-11-111111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111
χ711111111111111-11-11111111-1-1-1-11111-1-11-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111111111-11-11111111-1-1-1-11111-1-11-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ811111111111111-11-11111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1111111-1-111111111111111-11-11111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ911-1-1-111111-1-1-1-111-1-11-11-1-11ii−i−i11-1-111-111-1-11-1-1ii−i−i1-1i−iii−i−i11-1-1i−i1-1i−ii−i11-1-1-111111-1-1-1-111-1-11-11-1-11ii−i−i11-1-111-111-1-11-1-1ii−i−i1-1i−iii−i−i11-1-1i−i1-1i−ii−i
χ1011-1-1-111111-1-1-1-111-1-11-11-1-11ii−i−i-1-11111-111-1-11-1-1−i−iii-11i−iii−i−i-1-111−ii-11i−i−ii11-1-1-111111-1-1-1-111-1-11-11-1-11ii−i−i-1-11111-111-1-11-1-1−i−iii-11i−iii−i−i-1-111−ii-11i−i−ii
χ1111-1-1-111111-1-1-1-111-1-11-11-1-11−i−iii11-1-111-111-1-11-1-1−i−iii1-1−ii−i−iii11-1-1−ii1-1−ii−ii11-1-1-111111-1-1-1-111-1-11-11-1-11−i−iii11-1-111-111-1-11-1-1−i−iii1-1−ii−i−iii11-1-1−ii1-1−ii−ii
χ1211-1-1-111111-1-1-1-111-1-11-11-1-11−i−iii-1-11111-111-1-11-1-1ii−i−i-11−ii−i−iii-1-111i−i-11−iii−i11-1-1-111111-1-1-1-111-1-11-11-1-11−i−iii-1-11111-111-1-11-1-1ii−i−i-11−ii−i−iii-1-111i−i-11−iii−i
χ1311-1-1-111111-1-1-1-1-111-11-11-1-11ii−i−i11-1-1-1-1-1-1-111111ii−i−i-11−iiii−i−i11-1-1i−i-11−ii−ii11-1-1-111111-1-1-1-1-111-11-11-1-11ii−i−i11-1-1-1-1-1-1-111111ii−i−i-11−iiii−i−i11-1-1i−i-11−ii−ii
χ1411-1-1-111111-1-1-1-1-111-11-11-1-11ii−i−i-1-111-1-1-1-1-111111−i−iii1-1−iiii−i−i-1-111−ii1-1−iii−i11-1-1-111111-1-1-1-1-111-11-11-1-11ii−i−i-1-111-1-1-1-1-111111−i−iii1-1−iiii−i−i-1-111−ii1-1−iii−i
χ1511-1-1-111111-1-1-1-1-111-11-11-1-11−i−iii11-1-1-1-1-1-1-111111−i−iii-11i−i−i−iii11-1-1−ii-11i−ii−i11-1-1-111111-1-1-1-1-111-11-11-1-11−i−iii11-1-1-1-1-1-1-111111−i−iii-11i−i−i−iii11-1-1−ii-11i−ii−i
χ1611-1-1-111111-1-1-1-1-111-11-11-1-11−i−iii-1-111-1-1-1-1-111111ii−i−i1-1i−i−i−iii-1-111i−i1-1i−i−ii11-1-1-111111-1-1-1-1-111-11-11-1-11−i−iii-1-111-1-1-1-1-111111ii−i−i1-1i−i−i−iii-1-111i−i1-1i−i−ii
χ17222222-122-1-1-1222-12-1-122-1-1-1000022222-1-1-1-12-1-1-1-1000022000000-1-1-1-100-1-10000222222-122-1-1-1222-12-1-122-1-1-1000022222-1-1-1-12-1-1-1-1000022000000-1-1-1-100-1-10000
χ18222222-122-1-1-1222-12-1-122-1-1-10000-2-2-2-22-1-1-1-12-1-1-1-10000-2-2000000111100110000222222-122-1-1-1222-12-1-122-1-1-10000-2-2-2-22-1-1-1-12-1-1-1-10000-2-2000000111100110000
χ19222222-122-1-1-122-2-1-2-1-122-1-1-100002222-21-111-21-1110000-2-2000000-1-1-1-100110000222222-122-1-1-122-2-1-2-1-122-1-1-100002222-21-111-21-1110000-2-2000000-1-1-1-100110000
χ20222222-122-1-1-122-2-1-2-1-122-1-1-10000-2-2-2-2-21-111-21-111000022000000111100-1-10000222222-122-1-1-122-2-1-2-1-122-1-1-10000-2-2-2-2-21-111-21-111000022000000111100-1-10000
χ2122222-122-1222-1-12-122-1-1-1-1-1222220000-12-1-1-1-12-1-1-100000022-1-1-1-100000000-1-10022222-122-1222-1-12-122-1-1-1-1-1222220000-12-1-1-1-12-1-1-100000022-1-1-1-100000000-1-100
χ2222222-122-1222-1-12-122-1-1-1-1-12-2-2-2-20000-12-1-1-1-12-1-1-1000000-2-2111100000000110022222-122-1222-1-12-122-1-1-1-1-12-2-2-2-20000-12-1-1-1-12-1-1-1000000-2-21111000000001100
χ2322222-122-1222-1-1-2-1-22-1-1-1-1-12222200001-2-1111-2-111000000-2-2-1-1-1-100000000110022222-122-1222-1-1-2-1-22-1-1-1-1-12222200001-2-1111-2-111000000-2-2-1-1-1-1000000001100
χ2422222-122-1222-1-1-2-1-22-1-1-1-1-12-2-2-2-200001-2-1111-2-11100000022111100000000-1-10022222-122-1222-1-1-2-1-22-1-1-1-1-12-2-2-2-200001-2-1111-2-11100000022111100000000-1-100
χ252222-222-2222222020-22-2-222-20000000000-20000-2002222000000000000-2-20000002222-222-2222222020-22-2-222-20000000000-20000-2002222000000000000-2-2000000
χ262222-222-2222222020-22-2-222-20000000000-20000-200-2-2-2-2000000000000220000002222-222-2222222020-22-2-222-20000000000-20000-200-2-2-2-200000000000022000000
χ2722-2-2222-222-2-2-2-2020222-2-2-2-2000000000020000-2002i2i−2i−2i000000000000−2i2i00000022-2-2222-222-2-2-2-2020222-2-2-2-2000000000020000-2002i2i−2i−2i000000000000−2i2i000000
χ2822-2-2222-222-2-2-2-2020222-2-2-2-2000000000020000-200−2i−2i2i2i0000000000002i−2i00000022-2-2222-222-2-2-2-2020222-2-2-2-2000000000020000-200−2i−2i2i2i0000000000002i−2i000000
χ2922-2-2-22-122-111-2-22-1-21-1-2211-1000022-2-22-11-1-1-21-11100002-2000000-1-11100-11000022-2-2-22-122-111-2-22-1-21-1-2211-1000022-2-22-11-1-1-21-11100002-2000000-1-11100-110000
χ3022-2-2-22-122-111-2-22-1-21-1-2211-10000-2-2222-11-1-1-21-1110000-2200000011-1-1001-1000022-2-2-22-122-111-2-22-1-21-1-2211-10000-2-2222-11-1-1-21-1110000-2200000011-1-1001-10000
χ3122-2-2-22-122-111-2-2-2-121-1-2211-1000022-2-2-211112-1-1-1-10000-22000000-1-111001-1000022-2-2-22-122-111-2-2-2-121-1-2211-1000022-2-2-211112-1-1-1-10000-22000000-1-111001-10000
χ3222-2-2-22-122-111-2-2-2-121-1-2211-10000-2-222-211112-1-1-1-100002-200000011-1-100-11000022-2-2-22-122-111-2-2-2-121-1-2211-10000-2-222-211112-1-1-1-100002-200000011-1-100-110000
χ3322-2-2-2-122-12-2-2112-1-2-2-11-11122i2i−2i−2i0000-121-1-11-2-1110000002i−2i−i−iii00000000−ii0022-2-2-2-122-12-2-2112-1-2-2-11-11122i2i−2i−2i0000-121-1-11-2-1110000002i−2i−i−iii00000000−ii00
χ3422-2-2-2-122-12-2-2112-1-2-2-11-1112−2i−2i2i2i0000-121-1-11-2-111000000−2i2iii−i−i00000000i−i0022-2-2-2-122-12-2-2112-1-2-2-11-1112−2i−2i2i2i0000-121-1-11-2-111000000−2i2iii−i−i00000000i−i00
χ3522-2-2-2-122-12-2-211-2-12-2-11-11122i2i−2i−2i00001-2111-12-1-1-1000000−2i2i−i−iii00000000i−i0022-2-2-2-122-12-2-211-2-12-2-11-11122i2i−2i−2i00001-2111-12-1-1-1000000−2i2i−i−iii00000000i−i00
χ3622-2-2-2-122-12-2-211-2-12-2-11-1112−2i−2i2i2i00001-2111-12-1-1-10000002i−2iii−i−i00000000−ii0022-2-2-2-122-12-2-211-2-12-2-11-1112−2i−2i2i2i00001-2111-12-1-1-10000002i−2iii−i−i00000000−ii00
χ372-22i−2i0220-2-22i−2i2i−2i0200-2002i−2i01+i−1−i1−i−1+i2−2i2−i200000000002ζ−2ζ2ζ3−2ζ300001+i−1−i1−i−1+i2−2i2−i2000000002-22i−2i0220-2-22i−2i2i−2i0200-2002i−2i01+i−1−i1−i−1+i2−2i2−i200000000002ζ−2ζ2ζ3−2ζ300001+i−1−i1−i−1+i2−2i2−i200000000
χ382-22i−2i0220-2-22i−2i2i−2i0200-2002i−2i01+i−1−i1−i−1+i−22−i2i20000000000−2ζ2ζ−2ζ32ζ300001+i−1−i1−i−1+i−22−i2i2000000002-22i−2i0220-2-22i−2i2i−2i0200-2002i−2i01+i−1−i1−i−1+i−22−i2i20000000000−2ζ2ζ−2ζ32ζ300001+i−1−i1−i−1+i−22−i2i200000000
χ392-22i−2i0220-2-22i−2i2i−2i0200-2002i−2i0−1−i1+i−1+i1−i2−2i2−i20000000000−2ζ2ζ−2ζ32ζ30000−1−i1+i−1+i1−i2−2i2−i2000000002-22i−2i0220-2-22i−2i2i−2i0200-2002i−2i0−1−i1+i−1+i1−i2−2i2−i20000000000−2ζ2ζ−2ζ32ζ30000−1−i1+i−1+i1−i2−2i2−i200000000
χ402-22i−2i0220-2-22i−2i2i−2i0200-2002i−2i0−1−i1+i−1+i1−i−22−i2i200000000002ζ−2ζ2ζ3−2ζ30000−1−i1+i−1+i1−i−22−i2i2000000002-22i−2i0220-2-22i−2i2i−2i0200-2002i−2i0−1−i1+i−1+i1−i−22−i2i200000000002ζ−2ζ2ζ3−2ζ30000−1−i1+i−1+i1−i−22−i2i200000000
χ412-2−2i2i0220-2-2−2i2i−2i2i0200-200−2i2i01−i−1+i1+i−1−i2−2−i2i20000000000−2ζ32ζ3−2ζ2ζ00001−i−1+i1+i−1−i2−2−i2i2000000002-2−2i2i0220-2-2−2i2i−2i2i0200-200−2i2i01−i−1+i1+i−1−i2−2−i2i20000000000−2ζ32ζ3−2ζ2ζ00001−i−1+i1+i−1−i2−2−i2i200000000
χ422-2−2i2i0220-2-2−2i2i−2i2i0200-200−2i2i01−i−1+i1+i−1−i−22i2−i200000000002ζ3−2ζ32ζ−2ζ00001−i−1+i1+i−1−i−22i2−i2000000002-2−2i2i0220-2-2−2i2i−2i2i0200-200−2i2i01−i−1+i1+i−1−i−22i2−i200000000002ζ3−2ζ32ζ−2ζ00001−i−1+i1+i−1−i−22i2−i200000000
χ432-2−2i2i0220-2-2−2i2i−2i2i0200-200−2i2i0−1+i1−i−1−i1+i2−2−i2i200000000002ζ3−2ζ32ζ−2ζ0000−1+i1−i−1−i1+i2−2−i2i2000000002-2−2i2i0220-2-2−2i2i−2i2i0200-200−2i2i0−1+i1−i−1−i1+i2−2−i2i200000000002ζ3−2ζ32ζ−2ζ0000−1+i1−i−1−i1+i2−2−i2i200000000
χ442-2−2i2i0220-2-2−2i2i−2i2i0200-200−2i2i0−1+i1−i−1−i1+i−22i2−i20000000000−2ζ32ζ3−2ζ2ζ0000−1+i1−i−1−i1+i−22i2−i2000000002-2−2i2i0220-2-2−2i2i−2i2i0200-200−2i2i0−1+i1−i−1−i1+i−22i2−i20000000000−2ζ32ζ3−2ζ2ζ0000−1+i1−i−1−i1+i−22i2−i200000000
χ4544444-2-24-2-2-2-2-2-2414-21-2-211-200000000-2-2111-2-211100000000000000000000000044444-2-24-2-2-2-2-2-2414-21-2-211-200000000-2-2111-2-2111000000000000000000000000
χ4644444-2-24-2-2-2-2-2-2-41-4-21-2-211-200000000221-1-1221-1-100000000000000000000000044444-2-24-2-2-2-2-2-2-41-4-21-2-211-200000000221-1-1221-1-1000000000000000000000000
χ474444-44-2-44-2-2-2440-202-2-4-4-2-220000000000200002000000000000000000000000004444-44-2-44-2-2-2440-202-2-4-4-2-22000000000020000200000000000000000000000000
χ484444-4-24-4-2444-2-20-20-4-222-2-2-40000000000200002000000000000000000000000004444-4-24-4-2444-2-20-20-4-222-2-2-4000000000020000200000000000000000000000000
χ494444-4-2-2-4-2-2-2-2-2-201021221120000000000-13-300-13-30000000000000000000000004444-4-2-2-4-2-2-2-2-2-201021221120000000000-13-300-13-3000000000000000000000000
χ504444-4-2-2-4-2-2-2-2-2-201021221120000000000-1-3300-1-330000000000000000000000004444-4-2-2-4-2-2-2-2-2-201021221120000000000-1-3300-1-33000000000000000000000000
χ5144-4-444-2-44-222-4-40-20-2-24-42220000000000-2000020000000000000000000000000044-4-444-2-44-222-4-40-20-2-24-42220000000000-20000200000000000000000000000000
χ5244-4-44-24-4-24-4-4220-204-2-2222-40000000000-2000020000000000000000000000000044-4-44-24-4-24-4-4220-204-2-2222-40000000000-20000200000000000000000000000000
χ5344-4-44-2-2-4-2-22222010-21-22-1-12000000000013-300-1-3300000000000000000000000044-4-44-2-2-4-2-22222010-21-22-1-12000000000013-300-1-33000000000000000000000000
χ5444-4-44-2-2-4-2-22222010-21-22-1-1200000000001-3300-13-300000000000000000000000044-4-44-2-2-4-2-22222010-21-22-1-1200000000001-3300-13-3000000000000000000000000
χ5544-4-4-4-2-24-2-2222241-4212-2-1-1-200000000-2-2-111221-1-100000000000000000000000044-4-4-4-2-24-2-2222241-4212-2-1-1-200000000-2-2-111221-1-1000000000000000000000000
χ5644-4-4-4-2-24-2-22222-414212-2-1-1-20000000022-1-1-1-2-211100000000000000000000000044-4-4-4-2-24-2-22222-414212-2-1-1-20000000022-1-1-1-2-2111000000000000000000000000
χ574-44i−4i04-20-42−2i2i4i−4i0-200200−2i2i0000022−222i2−2i20000000000000000000000−22−i2i2000000004-44i−4i04-20-42−2i2i4i−4i0-200200−2i2i0000022−222i2−2i20000000000000000000000−22−i2i200000000
χ584-44i−4i04-20-42−2i2i4i−4i0-200200−2i2i00000−2222−2i22i200000000000000000000002−2i2−i2000000004-44i−4i04-20-42−2i2i4i−4i0-200200−2i2i00000−2222−2i22i200000000000000000000002−2i2−i200000000
χ594-44i−4i0-2402-44i−4i−2i2i0-200200−2i2i02+2i−2−2i2−2i−2+2i0000000000000000000000−1−i1+i−1+i1−i0000000000004-44i−4i0-2402-44i−4i−2i2i0-200200−2i2i02+2i−2−2i2−2i−2+2i0000000000000000000000−1−i1+i−1+i1−i000000000000
χ604-44i−4i0-2402-44i−4i−2i2i0-200200−2i2i0−2−2i2+2i−2+2i2−2i00000000000000000000001+i−1−i1−i−1+i0000000000004-44i−4i0-2402-44i−4i−2i2i0-200200−2i2i0−2−2i2+2i−2+2i2−2i00000000000000000000001+i−1−i1−i−1+i000000000000
χ614-4−4i4i04-20-422i−2i−4i4i0-2002002i−2i0000022−22−2i22i20000000000000000000000−22i2−i2000000004-4−4i4i04-20-422i−2i−4i4i0-2002002i−2i0000022−22−2i22i20000000000000000000000−22i2−i200000000
χ624-4−4i4i04-20-422i−2i−4i4i0-2002002i−2i00000−22222i2−2i200000000000000000000002−2−i2i2000000004-4−4i4i04-20-422i−2i−4i4i0-2002002i−2i00000−22222i2−2i200000000000000000000002−2−i2i200000000
χ634-4−4i4i0-2402-4−4i4i2i−2i0-2002002i−2i02−2i−2+2i2+2i−2−2i0000000000000000000000−1+i1−i−1−i1+i0000000000004-4−4i4i0-2402-4−4i4i2i−2i0-2002002i−2i02−2i−2+2i2+2i−2−2i0000000000000000000000−1+i1−i−1−i1+i000000000000
χ644-4−4i4i0-2402-4−4i4i2i−2i0-2002002i−2i0−2+2i2−2i−2−2i2+2i00000000000000000000001−i−1+i1+i−1−i0000000000004-4−4i4i0-2402-4−4i4i2i−2i0-2002002i−2i0−2+2i2−2i−2−2i2+2i00000000000000000000001−i−1+i1+i−1−i000000000000
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χ1318-88i−8i0-4-4044−4i4i−4i4i0200-2002i−2i0000000000000000000000000000000000000000000-88−8i8i0440-4-44i−4i4i−4i0-200200−2i2i0000000000000000000000000000000000000000000
χ1328-8−8i8i0-4-40444i−4i4i−4i0200-200−2i2i0000000000000000000000000000000000000000000-888i−8i0440-4-4−4i4i−4i4i0-2002002i−2i0000000000000000000000000000000000000000000

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