Finite Group Databasebeta

← Group #11861021

Character table — Group #11861021

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222222244444444444444444444444444449999121212121212121218181818181824242424242424241111222222222222224444444444444444444444444444999912121212121212121818181818182424242424242424
order1244233466888812121212366666121212121212242424242424242424242424242424248888224488884444886612122424242422442664668888121212126666661212121212122424242424242424242424242424242488882244888844448866121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-1-1-1-1-1111-11-111-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-1-1-1-1-1111-11-111-1-1
χ61111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-1-1-111-11-11-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-1-1-111-11-11-1-111
χ71111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-11-11-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-11-11-1-1-111
χ81111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-11-1111-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-11-1111-1-1
χ911-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i11-1-1i−ii−iii−i−ii−i11-1-1i−ii−i11-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i11-1-1i−ii−iii−i−ii−i11-1-1i−ii−i
χ1011-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i-1-111−ii−iiii−i−ii−i-1-111−ii−ii11-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i-1-111−ii−iiii−i−ii−i-1-111−ii−ii
χ1111-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1−i−iii11-1-1−ii−ii−i−iii−ii11-1-1−ii−ii11-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1−i−iii11-1-1−ii−ii−i−iii−ii11-1-1−ii−ii
χ1211-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1−i−iii-1-111i−ii−i−i−iii−ii-1-111i−ii−i11-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1−i−iii-1-111i−ii−i−i−iii−ii-1-111i−ii−i
χ1311-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111ii−i−i1-1-11i−i−ii−i−iiii−i1-1-11i−i−ii11-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111ii−i−i1-1-11i−i−ii−i−iiii−i1-1-11i−i−ii
χ1411-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111ii−i−i-111-1−iii−i−i−iiii−i-111-1−iii−i11-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111ii−i−i-111-1−iii−i−i−iiii−i-111-1−iii−i
χ1511-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111−i−iii1-1-11−iii−iii−i−i−ii1-1-11−iii−i11-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111−i−iii1-1-11−iii−iii−i−i−ii1-1-11−iii−i
χ1611-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111−i−iii-111-1i−i−iiii−i−i−ii-111-1i−i−ii11-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111−i−iii-111-1i−i−iiii−i−i−ii-111-1i−i−ii
χ17222222-122-12222-1-122-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022220000000000-1-1-1-10000222222-122-12222-1-122-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022220000000000-1-1-1-10000
χ18222222-122-12222-1-122-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2000000000011110000222222-122-12222-1-122-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2000000000011110000
χ19222222-122-1-2-2-2-2-1-122-12-1-1-1-1-1-12-1-1-1-2-2111111-2-211111100002-22-20000000000-11-110000222222-122-1-2-2-2-2-1-122-12-1-1-1-1-1-12-1-1-1-2-2111111-2-211111100002-22-20000000000-11-110000
χ20222222-122-1-2-2-2-2-1-122-12-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000-22-2200000000001-11-10000222222-122-1-2-2-2-2-1-122-12-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000-22-2200000000001-11-10000
χ2122222-122-12222222-1-1-1-12-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000022220000000000-1-1-1-122222-122-12222222-1-1-1-12-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000022220000000000-1-1-1-1
χ2222222-122-12222222-1-1-1-12-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-20000000000111122222-122-12222222-1-1-1-12-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-200000000001111
χ2322222-122-12-2-2-2-222-1-1-1-12-1-1-1-1-1-12-1-111-2-2111111-2-211110000000022-2-20000000000-1-11122222-122-12-2-2-2-222-1-1-1-12-1-1-1-1-1-12-1-111-2-2111111-2-211110000000022-2-20000000000-1-111
χ2422222-122-12-2-2-2-222-1-1-1-12-1-1-1-1-1-12-1-111-2-2111111-2-2111100000000-2-222000000000011-1-122222-122-12-2-2-2-222-1-1-1-12-1-1-1-1-1-12-1-111-2-2111111-2-2111100000000-2-222000000000011-1-1
χ252222-222-222000022222-2-2-2-2222-2-2-2-200000000000000002222000000000000-2-2000000002222-222-222000022222-2-2-2-2222-2-2-2-200000000000000002222000000000000-2-200000000
χ262222-222-222000022222-2-2-2-2222-2-2-2-20000000000000000-2-2-2-200000000000022000000002222-222-222000022222-2-2-2-2222-2-2-2-20000000000000000-2-2-2-20000000000002200000000
χ2722-2-2222-2220000-2-2-2-2222222-2-2-2-2-2-200000000000000002i2i−2i−2i000000000000−2i2i0000000022-2-2222-2220000-2-2-2-2222222-2-2-2-2-2-200000000000000002i2i−2i−2i000000000000−2i2i00000000
χ2822-2-2222-2220000-2-2-2-2222222-2-2-2-2-2-20000000000000000−2i−2i2i2i0000000000002i−2i0000000022-2-2222-2220000-2-2-2-2222222-2-2-2-2-2-20000000000000000−2i−2i2i2i0000000000002i−2i00000000
χ2922-2-2-22-122-122-2-211-2-2-1-2111-1112-1-1-122-1-1-1-1-1-1-2-2111111000022-2-20000000000-1-111000022-2-2-22-122-122-2-211-2-2-1-2111-1112-1-1-122-1-1-1-1-1-1-2-2111111000022-2-20000000000-1-1110000
χ3022-2-2-22-122-122-2-211-2-2-1-2111-1112-1-1-122-1-1-1-1-1-1-2-21111110000-2-222000000000011-1-1000022-2-2-22-122-122-2-211-2-2-1-2111-1112-1-1-122-1-1-1-1-1-1-2-21111110000-2-222000000000011-1-10000
χ3122-2-2-22-122-1-2-22211-2-2-1-2111-1112-1-1-1-2-211111122-1-1-1-1-1-100002-2-220000000000-111-1000022-2-2-22-122-1-2-22211-2-2-1-2111-1112-1-1-1-2-211111122-1-1-1-1-1-100002-2-220000000000-111-10000
χ3222-2-2-22-122-1-2-22211-2-2-1-2111-1112-1-1-1-2-211111122-1-1-1-1-1-10000-222-200000000001-1-11000022-2-2-22-122-1-2-22211-2-2-1-2111-1112-1-1-1-2-211111122-1-1-1-1-1-10000-222-200000000001-1-110000
χ3322-2-2-2-122-1222-2-2-2-211-11-211-111-12-1-1-1-122-1-1-1-111-2-21111000000002i−2i2i−2i0000000000−ii−ii22-2-2-2-122-1222-2-2-2-211-11-211-111-12-1-1-1-122-1-1-1-111-2-21111000000002i−2i2i−2i0000000000−ii−ii
χ3422-2-2-2-122-1222-2-2-2-211-11-211-111-12-1-1-1-122-1-1-1-111-2-2111100000000−2i2i−2i2i0000000000i−ii−i22-2-2-2-122-1222-2-2-2-211-11-211-111-12-1-1-1-122-1-1-1-111-2-2111100000000−2i2i−2i2i0000000000i−ii−i
χ3522-2-2-2-122-12-2-222-2-211-11-211-111-12-1-111-2-21111-1-122-1-1-1-1000000002i−2i−2i2i0000000000−iii−i22-2-2-2-122-12-2-222-2-211-11-211-111-12-1-111-2-21111-1-122-1-1-1-1000000002i−2i−2i2i0000000000−iii−i
χ3622-2-2-2-122-12-2-222-2-211-11-211-111-12-1-111-2-21111-1-122-1-1-1-100000000−2i2i2i−2i0000000000i−i−ii22-2-2-2-122-12-2-222-2-211-11-211-111-12-1-111-2-21111-1-122-1-1-1-100000000−2i2i2i−2i0000000000i−i−ii
χ372-22i−2i0220-2-22−2i2−i22i−2i2i−2i20000-22i−2i00002−22−222−2−2i2−i2i2−i2i2i2−i2−i22ζ−2ζ2ζ3−2ζ3000000001+i−1−i1−i−1+i00000000002-22i−2i0220-2-22−2i2−i22i−2i2i−2i20000-22i−2i00002−22−222−2−2i2−i2i2−i2i2i2−i2−i22ζ−2ζ2ζ3−2ζ3000000001+i−1−i1−i−1+i0000000000
χ382-22i−2i0220-2-22−2i2−i22i−2i2i−2i20000-22i−2i00002−22−222−2−2i2−i2i2−i2i2i2−i2−i2−2ζ2ζ−2ζ32ζ300000000−1−i1+i−1+i1−i00000000002-22i−2i0220-2-22−2i2−i22i−2i2i−2i20000-22i−2i00002−22−222−2−2i2−i2i2−i2i2i2−i2−i2−2ζ2ζ−2ζ32ζ300000000−1−i1+i−1+i1−i0000000000
χ392-22i−2i0220-2-2−22−i2i22i−2i2i−2i20000-22i−2i0000−22−22−2−222−i2i2−i2i2−i2−i2i2i22ζ−2ζ2ζ3−2ζ300000000−1−i1+i−1+i1−i00000000002-22i−2i0220-2-2−22−i2i22i−2i2i−2i20000-22i−2i0000−22−22−2−222−i2i2−i2i2−i2−i2i2i22ζ−2ζ2ζ3−2ζ300000000−1−i1+i−1+i1−i0000000000
χ402-22i−2i0220-2-2−22−i2i22i−2i2i−2i20000-22i−2i0000−22−22−2−222−i2i2−i2i2−i2−i2i2i2−2ζ2ζ−2ζ32ζ3000000001+i−1−i1−i−1+i00000000002-22i−2i0220-2-2−22−i2i22i−2i2i−2i20000-22i−2i0000−22−22−2−222−i2i2−i2i2−i2−i2i2i2−2ζ2ζ−2ζ32ζ3000000001+i−1−i1−i−1+i0000000000
χ412-2−2i2i0220-2-22−2−i2i2−2i2i−2i2i20000-2−2i2i00002−22−222−2−2−i2i2−i2i2−i2−i2i2i22ζ3−2ζ32ζ−2ζ00000000−1+i1−i−1−i1+i00000000002-2−2i2i0220-2-22−2−i2i2−2i2i−2i2i20000-2−2i2i00002−22−222−2−2−i2i2−i2i2−i2−i2i2i22ζ3−2ζ32ζ−2ζ00000000−1+i1−i−1−i1+i0000000000
χ422-2−2i2i0220-2-22−2−i2i2−2i2i−2i2i20000-2−2i2i00002−22−222−2−2−i2i2−i2i2−i2−i2i2i2−2ζ32ζ3−2ζ2ζ000000001−i−1+i1+i−1−i00000000002-2−2i2i0220-2-22−2−i2i2−2i2i−2i2i20000-2−2i2i00002−22−222−2−2−i2i2−i2i2−i2−i2i2i2−2ζ32ζ3−2ζ2ζ000000001−i−1+i1+i−1−i0000000000
χ432-2−2i2i0220-2-2−22i2−i2−2i2i−2i2i20000-2−2i2i0000−22−22−2−222i2−i2i2−i2i2i2−i2−i22ζ3−2ζ32ζ−2ζ000000001−i−1+i1+i−1−i00000000002-2−2i2i0220-2-2−22i2−i2−2i2i−2i2i20000-2−2i2i0000−22−22−2−222i2−i2i2−i2i2i2−i2−i22ζ3−2ζ32ζ−2ζ000000001−i−1+i1+i−1−i0000000000
χ442-2−2i2i0220-2-2−22i2−i2−2i2i−2i2i20000-2−2i2i0000−22−22−2−222i2−i2i2−i2i2i2−i2−i2−2ζ32ζ3−2ζ2ζ00000000−1+i1−i−1−i1+i00000000002-2−2i2i0220-2-2−22i2−i2−2i2i−2i2i20000-2−2i2i0000−22−22−2−222i2−i2i2−i2i2i2−i2−i2−2ζ32ζ3−2ζ2ζ00000000−1+i1−i−1−i1+i0000000000
χ4544444-2-24-2-24444-2-2-2-21-2-211111-2-211-2-2-2-21111-2-2-2-211110000000000000000000000000044444-2-24-2-24444-2-2-2-21-2-211111-2-211-2-2-2-21111-2-2-2-2111100000000000000000000000000
χ4644444-2-24-2-2-4-4-4-4-2-2-2-21-2-211111-2-2112222-1-1-1-12222-1-1-1-10000000000000000000000000044444-2-24-2-2-4-4-4-4-2-2-2-21-2-211111-2-2112222-1-1-1-12222-1-1-1-100000000000000000000000000
χ474444-44-2-44-20000-2-244-2-4222-2-2-2-42220000000000000000000000000000000000000000004444-44-2-44-20000-2-244-2-4222-2-2-2-4222000000000000000000000000000000000000000000
χ484444-4-24-4-24000044-2-2-22-422-2-2-22-4220000000000000000000000000000000000000000004444-4-24-4-24000044-2-2-22-422-2-2-22-422000000000000000000000000000000000000000000
χ494444-4-2-2-4-2-20000-2-2-2-2122-1-111122-1-100003i−3i3i−3i00003i−3i3i−3i000000000000000000000000004444-4-2-2-4-2-20000-2-2-2-2122-1-111122-1-100003i−3i3i−3i00003i−3i3i−3i00000000000000000000000000
χ504444-4-2-2-4-2-20000-2-2-2-2122-1-111122-1-10000−3i3i−3i3i0000−3i3i−3i3i000000000000000000000000004444-4-2-2-4-2-20000-2-2-2-2122-1-111122-1-10000−3i3i−3i3i0000−3i3i−3i3i00000000000000000000000000
χ5144-4-444-2-44-2000022-4-4-24-2-2-2-222-422200000000000000000000000000000000000000000044-4-444-2-44-2000022-4-4-24-2-2-2-222-4222000000000000000000000000000000000000000000
χ5244-4-44-24-4-240000-4-422-2-24-2-2-2222-42200000000000000000000000000000000000000000044-4-44-24-4-240000-4-422-2-24-2-2-2222-422000000000000000000000000000000000000000000
χ5344-4-44-2-2-4-2-2000022221-2-2111-1-122-1-100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000044-4-44-2-2-4-2-2000022221-2-2111-1-122-1-100003i−3i3i−3i0000−3i3i−3i3i00000000000000000000000000
χ5444-4-44-2-2-4-2-2000022221-2-2111-1-122-1-10000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000044-4-44-2-2-4-2-2000022221-2-2111-1-122-1-10000−3i3i−3i3i00003i−3i3i−3i00000000000000000000000000
χ5544-4-4-4-2-24-2-244-4-42222122-1-11-1-1-2-211-2-2-2-211112222-1-1-1-10000000000000000000000000044-4-4-4-2-24-2-244-4-42222122-1-11-1-1-2-211-2-2-2-211112222-1-1-1-100000000000000000000000000
χ5644-4-4-4-2-24-2-2-4-4442222122-1-11-1-1-2-2112222-1-1-1-1-2-2-2-211110000000000000000000000000044-4-4-4-2-24-2-2-4-4442222122-1-11-1-1-2-2112222-1-1-1-1-2-2-2-2111100000000000000000000000000
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χ10822-2-2-2-122-12-2-222-2-211-11-211-111-12-1-111-2-21111-1-122-1-1-1-100000000−2i2i2i−2i0000000000i−i−ii-2-22221-2-21-222-2-222-1-11-12-1-11-1-11-211-1-122-1-1-1-111-2-21111000000002i−2i−2i2i0000000000−iii−i
χ1092-22i−2i0220-2-22−2i2−i22i−2i2i−2i20000-22i−2i00002−22−222−2−2i2−i2i2−i2i2i2−i2−i22ζ−2ζ2ζ3−2ζ3000000001+i−1−i1−i−1+i0000000000-22−2i2i0-2-2022−22−i2i2−2i2i−2i2i-200002−2i2i0000−22−22−2−222−i2i2−i2i2−i2−i2i2i2−2ζ2ζ−2ζ32ζ300000000−1−i1+i−1+i1−i0000000000
χ1102-22i−2i0220-2-22−2i2−i22i−2i2i−2i20000-22i−2i00002−22−222−2−2i2−i2i2−i2i2i2−i2−i2−2ζ2ζ−2ζ32ζ300000000−1−i1+i−1+i1−i0000000000-22−2i2i0-2-2022−22−i2i2−2i2i−2i2i-200002−2i2i0000−22−22−2−222−i2i2−i2i2−i2−i2i2i22ζ−2ζ2ζ3−2ζ3000000001+i−1−i1−i−1+i0000000000
χ1112-22i−2i0220-2-2−22−i2i22i−2i2i−2i20000-22i−2i0000−22−22−2−222−i2i2−i2i2−i2−i2i2i22ζ−2ζ2ζ3−2ζ300000000−1−i1+i−1+i1−i0000000000-22−2i2i0-2-20222−2i2−i2−2i2i−2i2i-200002−2i2i00002−22−222−2−2i2−i2i2−i2i2i2−i2−i2−2ζ2ζ−2ζ32ζ3000000001+i−1−i1−i−1+i0000000000
χ1122-22i−2i0220-2-2−22−i2i22i−2i2i−2i20000-22i−2i0000−22−22−2−222−i2i2−i2i2−i2−i2i2i2−2ζ2ζ−2ζ32ζ3000000001+i−1−i1−i−1+i0000000000-22−2i2i0-2-20222−2i2−i2−2i2i−2i2i-200002−2i2i00002−22−222−2−2i2−i2i2−i2i2i2−i2−i22ζ−2ζ2ζ3−2ζ300000000−1−i1+i−1+i1−i0000000000
χ1132-2−2i2i0220-2-22−2−i2i2−2i2i−2i2i20000-2−2i2i00002−22−222−2−2−i2i2−i2i2−i2−i2i2i22ζ3−2ζ32ζ−2ζ00000000−1+i1−i−1−i1+i0000000000-222i−2i0-2-2022−22i2−i22i−2i2i−2i-2000022i−2i0000−22−22−2−222i2−i2i2−i2i2i2−i2−i2−2ζ32ζ3−2ζ2ζ000000001−i−1+i1+i−1−i0000000000
χ1142-2−2i2i0220-2-22−2−i2i2−2i2i−2i2i20000-2−2i2i00002−22−222−2−2−i2i2−i2i2−i2−i2i2i2−2ζ32ζ3−2ζ2ζ000000001−i−1+i1+i−1−i0000000000-222i−2i0-2-2022−22i2−i22i−2i2i−2i-2000022i−2i0000−22−22−2−222i2−i2i2−i2i2i2−i2−i22ζ3−2ζ32ζ−2ζ00000000−1+i1−i−1−i1+i0000000000
χ1152-2−2i2i0220-2-2−22i2−i2−2i2i−2i2i20000-2−2i2i0000−22−22−2−222i2−i2i2−i2i2i2−i2−i22ζ3−2ζ32ζ−2ζ000000001−i−1+i1+i−1−i0000000000-222i−2i0-2-20222−2−i2i22i−2i2i−2i-2000022i−2i00002−22−222−2−2−i2i2−i2i2−i2−i2i2i2−2ζ32ζ3−2ζ2ζ00000000−1+i1−i−1−i1+i0000000000
χ1162-2−2i2i0220-2-2−22i2−i2−2i2i−2i2i20000-2−2i2i0000−22−22−2−222i2−i2i2−i2i2i2−i2−i2−2ζ32ζ3−2ζ2ζ00000000−1+i1−i−1−i1+i0000000000-222i−2i0-2-20222−2−i2i22i−2i2i−2i-2000022i−2i00002−22−222−2−2−i2i2−i2i2−i2−i2i2i22ζ3−2ζ32ζ−2ζ000000001−i−1+i1+i−1−i0000000000
χ11744444-2-24-2-24444-2-2-2-21-2-211111-2-211-2-2-2-21111-2-2-2-2111100000000000000000000000000-4-4-4-4-422-422-4-4-4-42222-122-1-1-1-1-122-1-12222-1-1-1-12222-1-1-1-100000000000000000000000000
χ11844444-2-24-2-2-4-4-4-4-2-2-2-21-2-211111-2-2112222-1-1-1-12222-1-1-1-100000000000000000000000000-4-4-4-4-422-42244442222-122-1-1-1-1-122-1-1-2-2-2-21111-2-2-2-2111100000000000000000000000000
χ1194444-44-2-44-20000-2-244-2-4222-2-2-2-4222000000000000000000000000000000000000000000-4-4-4-44-424-42000022-4-424-2-2-22224-2-2-2000000000000000000000000000000000000000000
χ1204444-4-24-4-24000044-2-2-22-422-2-2-22-422000000000000000000000000000000000000000000-4-4-4-442-442-40000-4-4222-24-2-2222-24-2-2000000000000000000000000000000000000000000
χ1214444-4-2-2-4-2-20000-2-2-2-2122-1-111122-1-100003i−3i3i−3i00003i−3i3i−3i00000000000000000000000000-4-4-4-442242200002222-1-2-211-1-1-1-2-2110000−3i3i−3i3i0000−3i3i−3i3i00000000000000000000000000
χ1224444-4-2-2-4-2-20000-2-2-2-2122-1-111122-1-10000−3i3i−3i3i0000−3i3i−3i3i00000000000000000000000000-4-4-4-442242200002222-1-2-211-1-1-1-2-21100003i−3i3i−3i00003i−3i3i−3i00000000000000000000000000
χ12344-4-444-2-44-2000022-4-4-24-2-2-2-222-4222000000000000000000000000000000000000000000-4-444-4-424-420000-2-2442-42222-2-24-2-2-2000000000000000000000000000000000000000000
χ12444-4-44-24-4-240000-4-422-2-24-2-2-2222-422000000000000000000000000000000000000000000-4-444-42-442-4000044-2-222-4222-2-2-24-2-2000000000000000000000000000000000000000000
χ12544-4-44-2-2-4-2-2000022221-2-2111-1-122-1-100003i−3i3i−3i0000−3i3i−3i3i00000000000000000000000000-4-444-4224220000-2-2-2-2-122-1-1-111-2-2110000−3i3i−3i3i00003i−3i3i−3i00000000000000000000000000
χ12644-4-44-2-2-4-2-2000022221-2-2111-1-122-1-10000−3i3i−3i3i00003i−3i3i−3i00000000000000000000000000-4-444-4224220000-2-2-2-2-122-1-1-111-2-21100003i−3i3i−3i0000−3i3i−3i3i00000000000000000000000000
χ12744-4-4-4-2-24-2-244-4-42222122-1-11-1-1-2-211-2-2-2-211112222-1-1-1-100000000000000000000000000-4-444422-422-4-444-2-2-2-2-1-2-211-11122-1-12222-1-1-1-1-2-2-2-2111100000000000000000000000000
χ12844-4-4-4-2-24-2-2-4-4442222122-1-11-1-1-2-2112222-1-1-1-1-2-2-2-2111100000000000000000000000000-4-444422-42244-4-4-2-2-2-2-1-2-211-11122-1-1-2-2-2-211112222-1-1-1-100000000000000000000000000
χ1294-44i−4i04-20-4222−222i2−2i2−2i2i4i−4i-200002−2i2i000022−22−22−2−2222i2−2i2−i2i2−i2−i2i2i200000000000000000000000000-44−4i4i0-4204-2−2222−2i22i22i−2i−4i4i20000-22i−2i0000−22222−222−2−2−2i22i2i2−i2i2i2−i2−i200000000000000000000000000
χ1304-44i−4i04-20-42−2222−2i22i2−2i2i4i−4i-200002−2i2i0000−22222−222−2−2−2i22i2i2−i2i2i2−i2−i200000000000000000000000000-44−4i4i0-4204-222−222i2−2i22i−2i−4i4i20000-22i−2i000022−22−22−2−2222i2−2i2−i2i2−i2−i2i2i200000000000000000000000000
χ1314-44i−4i0-2402-422−222i2−2i24i−4i−2i2i-200002−2i2i0000−2222−22−2−222−i2i22i2−2i2−i2−i2i2i200000000000000000000000000-44−4i4i02-40-24−2222−2i22i2−4i4i2i−2i20000-22i−2i00002−2−222222−2−2i2−i2−2i22i2i2i2−i2−i200000000000000000000000000
χ1324-44i−4i0-2402-4−2222−2i22i24i−4i−2i2i-200002−2i2i00002−2−222222−2−2i2−i2−2i22i2i2i2−i2−i200000000000000000000000000-44−4i4i02-40-2422−222i2−2i2−4i4i2i−2i20000-22i−2i0000−2222−22−2−222−i2i22i2−2i2−i2−i2i2i200000000000000000000000000
χ1334-44i−4i0-2-202222−222i2−2i2−2i2i−2i2i1003-3-1i−i003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000000000000000000-44−4i4i0220-2-2−2222−2i22i22i−2i2i−2i-100-331−ii00−3i3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000000000000000000
χ1344-44i−4i0-2-202222−222i2−2i2−2i2i−2i2i100-33-1i−i00−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000000000000000000-44−4i4i0220-2-2−2222−2i22i22i−2i2i−2i-1003-31−ii003i−3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000000000000000000
χ1354-44i−4i0-2-2022−2222−2i22i2−2i2i−2i2i1003-3-1i−i003i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000000000000000000-44−4i4i0220-2-222−222i2−2i22i−2i2i−2i-100-331−ii00−3i3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000000000000000000
χ1364-44i−4i0-2-2022−2222−2i22i2−2i2i−2i2i100-33-1i−i00−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000000000000000000-44−4i4i0220-2-222−222i2−2i22i−2i2i−2i-1003-31−ii003i−3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000000000000000000
χ1374-4−4i4i04-20-4222−22−2i22i22i−2i−4i4i-2000022i−2i000022−22−22−2−222−2i22i2i2−i2i2i2−i2−i200000000000000000000000000-444i−4i0-4204-2−22222i2−2i2−2i2i4i−4i20000-2−2i2i0000−22222−222−2−22i2−2i2−i2i2−i2−i2i2i200000000000000000000000000
χ1384-4−4i4i04-20-42−22222i2−2i22i−2i−4i4i-2000022i−2i0000−22222−222−2−22i2−2i2−i2i2−i2−i2i2i200000000000000000000000000-444i−4i0-4204-222−22−2i22i2−2i2i4i−4i20000-2−2i2i000022−22−22−2−222−2i22i2i2−i2i2i2−i2−i200000000000000000000000000
χ1394-4−4i4i0-2402-422−22−2i22i2−4i4i2i−2i-2000022i−2i0000−2222−22−2−222i2−i2−2i22i2i2i2−i2−i200000000000000000000000000-444i−4i02-40-24−22222i2−2i24i−4i−2i2i20000-2−2i2i00002−2−222222−2−2−i2i22i2−2i2−i2−i2i2i200000000000000000000000000
χ1404-4−4i4i0-2402-4−22222i2−2i2−4i4i2i−2i-2000022i−2i00002−2−222222−2−2−i2i22i2−2i2−i2−i2i2i200000000000000000000000000-444i−4i02-40-2422−22−2i22i24i−4i−2i2i20000-2−2i2i0000−2222−22−2−222i2−i2−2i22i2i2i2−i2−i200000000000000000000000000
χ1414-4−4i4i0-2-202222−22−2i22i22i−2i2i−2i1003-3-1−ii00−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000000000000000000-444i−4i0220-2-2−22222i2−2i2−2i2i−2i2i-100-331i−i003i−3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000000000000000000
χ1424-4−4i4i0-2-202222−22−2i22i22i−2i2i−2i100-33-1−ii003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000000000000000000-444i−4i0220-2-2−22222i2−2i2−2i2i−2i2i-1003-31i−i00−3i3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000000000000000000
χ1434-4−4i4i0-2-2022−22222i2−2i22i−2i2i−2i1003-3-1−ii00−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000000000000000000-444i−4i0220-2-222−22−2i22i2−2i2i−2i2i-100-331i−i003i−3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000000000000000000
χ1444-4−4i4i0-2-2022−22222i2−2i22i−2i2i−2i100-33-1−ii003i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000000000000000000-444i−4i0220-2-222−22−2i22i2−2i2i−2i2i-1003-31i−i00−3i3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000000000000000000

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