Finite Group Databasebeta

← Group #10591990

Character table — Group #10591990

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222244444444444466668888121212121212111122222244444444444466668888121212121212111122222244444444444466668888121212121212
order1244234612126888888122424242422442424242488888836121263126121262424242424241224242424661212242424242424242424243612126312612126242424242424122424242466121224242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ31111111111111-1-1-1-11-1-1-1-1111111-1-111-1-1-1-11111111111111-1-1-1-11-1-1-1-1111111-1-111-1-1-1-11111111111111-1-1-1-11-1-1-1-1111111-1-111-1-1-1-1
χ41111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111-1-111-1-11-1-1-1-11111-1-111-1-111-1-111111111111-1-111-1-11-1-1-1-11111-1-111-1-111-1-111111111111-1-111-1-11-1-1-1-11111-1-111-1-111-1-1
χ611111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111
χ811111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1
χ911-1-1-1111-1-1-1i−ii−i1-1111-1-11-11-1i−ii−ii−ii−i1-111-1-1-1111-1-1-1i−ii−i1-1111-1-11-11-1i−ii−ii−ii−i1-111-1-1-1111-1-1-1i−ii−i1-1111-1-11-11-1i−ii−ii−ii−i1-1
χ1011-1-1-1111-1-1-1i−ii−i1-1111-1-1-11-11i−ii−i−ii−ii-1111-1-1-1111-1-1-1i−ii−i1-1111-1-1-11-11i−ii−i−ii−ii-1111-1-1-1111-1-1-1i−ii−i1-1111-1-1-11-11i−ii−i−ii−ii-11
χ1111-1-1-1111-1-1-1i−i−ii-111-1-1111-11-1i−i−iii−i−ii-1111-1-1-1111-1-1-1i−i−ii-111-1-1111-11-1i−i−iii−i−ii-1111-1-1-1111-1-1-1i−i−ii-111-1-1111-11-1i−i−iii−i−ii-11
χ1211-1-1-1111-1-1-1i−i−ii-111-1-111-11-11i−i−ii−iii−i1-111-1-1-1111-1-1-1i−i−ii-111-1-111-11-11i−i−ii−iii−i1-111-1-1-1111-1-1-1i−i−ii-111-1-111-11-11i−i−ii−iii−i1-1
χ1311-1-1-1111-1-1-1−iii−i-111-1-1111-11-1−iii−i−iii−i-1111-1-1-1111-1-1-1−iii−i-111-1-1111-11-1−iii−i−iii−i-1111-1-1-1111-1-1-1−iii−i-111-1-1111-11-1−iii−i−iii−i-11
χ1411-1-1-1111-1-1-1−iii−i-111-1-111-11-11−iii−ii−i−ii1-111-1-1-1111-1-1-1−iii−i-111-1-111-11-11−iii−ii−i−ii1-111-1-1-1111-1-1-1−iii−i-111-1-111-11-11−iii−ii−i−ii1-1
χ1511-1-1-1111-1-1-1−ii−ii1-1111-1-11-11-1−ii−ii−ii−ii1-111-1-1-1111-1-1-1−ii−ii1-1111-1-11-11-1−ii−ii−ii−ii1-111-1-1-1111-1-1-1−ii−ii1-1111-1-11-11-1−ii−ii−ii−ii1-1
χ1611-1-1-1111-1-1-1−ii−ii1-1111-1-1-11-11−ii−iii−ii−i-1111-1-1-1111-1-1-1−ii−ii1-1111-1-1-11-11−ii−iii−ii−i-1111-1-1-1111-1-1-1−ii−ii1-1111-1-1-11-11−ii−iii−ii−i-11
χ1722222-12-1-1-1-1222222-1-1-1-1-10000-1-1-1-100000022222-12-1-1-1-1222222-1-1-1-1-10000-1-1-1-100000022222-12-1-1-1-1222222-1-1-1-1-10000-1-1-1-1000000
χ1822222-12-1-1-1-122-2-2-2-2-111110000-1-11100000022222-12-1-1-1-122-2-2-2-2-111110000-1-11100000022222-12-1-1-1-122-2-2-2-2-111110000-1-111000000
χ1922222-12-1-1-1-1-2-222-2-2-11111000011-1-100000022222-12-1-1-1-1-2-222-2-2-11111000011-1-100000022222-12-1-1-1-1-2-222-2-2-11111000011-1-1000000
χ2022222-12-1-1-1-1-2-2-2-222-1-1-1-1-10000111100000022222-12-1-1-1-1-2-2-2-222-1-1-1-1-10000111100000022222-12-1-1-1-1-2-2-2-222-1-1-1-1-100001111000000
χ212222-22-2222-2000000-200002-2-2200000000002222-22-2222-2000000-200002-2-2200000000002222-22-2222-2000000-200002-2-220000000000
χ222222-22-2222-2000000-20000-222-200000000002222-22-2222-2000000-20000-222-200000000002222-22-2222-2000000-20000-222-20000000000
χ2322-2-222-22-2-22000000-2000022-2-2000000000022-2-222-22-2-22000000-2000022-2-2000000000022-2-222-22-2-22000000-2000022-2-20000000000
χ2422-2-222-22-2-22000000-20000-2-222000000000022-2-222-22-2-22000000-20000-2-222000000000022-2-222-22-2-22000000-20000-2-2220000000000
χ2522-2-2-2-12-11112i−2i2i−2i2-2-1-1-1110000−ii−ii00000022-2-2-2-12-11112i−2i2i−2i2-2-1-1-1110000−ii−ii00000022-2-2-2-12-11112i−2i2i−2i2-2-1-1-1110000−ii−ii000000
χ2622-2-2-2-12-11112i−2i−2i2i-22-111-1-10000−iii−i00000022-2-2-2-12-11112i−2i−2i2i-22-111-1-10000−iii−i00000022-2-2-2-12-11112i−2i−2i2i-22-111-1-10000−iii−i000000
χ2722-2-2-2-12-1111−2i2i2i−2i-22-111-1-10000i−i−ii00000022-2-2-2-12-1111−2i2i2i−2i-22-111-1-10000i−i−ii00000022-2-2-2-12-1111−2i2i2i−2i-22-111-1-10000i−i−ii000000
χ2822-2-2-2-12-1111−2i2i−2i2i2-2-1-1-1110000i−ii−i00000022-2-2-2-12-1111−2i2i−2i2i2-2-1-1-1110000i−ii−i00000022-2-2-2-12-1111−2i2i−2i2i2-2-1-1-1110000i−ii−i000000
χ294444-4-2-4-2-2-2200000020000000000000000004444-4-2-4-2-2-2200000020000000000000000004444-4-2-4-2-2-220000002000000000000000000
χ3044-4-44-2-4-222-2000000200000000000000000044-4-44-2-4-222-2000000200000000000000000044-4-44-2-4-222-20000002000000000000000000
χ314-44i−4i040-44i−4i000000000000000000000000004-44i−4i040-44i−4i000000000000000000000000004-44i−4i040-44i−4i00000000000000000000000000
χ324-44i−4i0-202−2i2i00000000i6−i66−6000000000000004-44i−4i0-202−2i2i00000000i6−i66−6000000000000004-44i−4i0-202−2i2i00000000i6−i66−600000000000000
χ334-44i−4i0-202−2i2i00000000−i6i6−66000000000000004-44i−4i0-202−2i2i00000000−i6i6−66000000000000004-44i−4i0-202−2i2i00000000−i6i6−6600000000000000
χ344-4−4i4i040-4−4i4i000000000000000000000000004-4−4i4i040-4−4i4i000000000000000000000000004-4−4i4i040-4−4i4i00000000000000000000000000
χ354-4−4i4i0-2022i−2i00000000i6−i6−66000000000000004-4−4i4i0-2022i−2i00000000i6−i6−66000000000000004-4−4i4i0-2022i−2i00000000i6−i6−6600000000000000
χ364-4−4i4i0-2022i−2i00000000−i6i66−6000000000000004-4−4i4i0-2022i−2i00000000−i6i66−6000000000000004-4−4i4i0-2022i−2i00000000−i6i66−600000000000000
χ37111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ381111111111111111111111-1-1-1-11111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ391111111111111-1-1-1-11-1-1-1-1111111-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ401111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ4111111111111-1-111-1-11-1-1-1-11111-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ4211111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ4311111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ4411111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4511-1-1-1111-1-1-1i−ii−i1-1111-1-11-11-1i−ii−ii−ii−i1-1−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14−1+i321−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22−1−i321+i32
χ4611-1-1-1111-1-1-1i−ii−i1-1111-1-1-11-11i−ii−i−ii−ii-11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ141−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ221+i32−1−i32
χ4711-1-1-1111-1-1-1i−i−ii-111-1-1111-11-1i−i−iii−i−ii-11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ14−ζ14−ζ14ζ141−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ141−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ22−ζ22−ζ22ζ221+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ221+i32−1−i32
χ4811-1-1-1111-1-1-1i−i−ii-111-1-111-11-11i−i−ii−iii−i1-1−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ14−ζ14−ζ14ζ141−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32ζ14−ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ14−1+i321−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ22−ζ22−ζ22ζ221+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32ζ22−ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ22−1−i321+i32
χ4911-1-1-1111-1-1-1−iii−i-111-1-1111-11-1−iii−i−iii−i-11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ22ζ22ζ22−ζ221+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ221+i32−1−i32
χ5011-1-1-1111-1-1-1−iii−i-111-1-111-11-11−iii−ii−i−ii1-1−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−ζ14ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14−1+i321−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ22ζ22ζ22−ζ221+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−ζ22ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22−1−i321+i32
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χ8011111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ8111-1-1-1111-1-1-1i−ii−i1-1111-1-11-11-1i−ii−ii−ii−i1-1−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22−1−i321+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14−1+i321−i32
χ8211-1-1-1111-1-1-1i−ii−i1-1111-1-1-11-11i−ii−i−ii−ii-11−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ221+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ141−i32−1+i32
χ8311-1-1-1111-1-1-1i−i−ii-111-1-1111-11-1i−i−iii−i−ii-11−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ22−ζ22−ζ22ζ221+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ221+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ14−ζ14−ζ14ζ141−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ141−i32−1+i32
χ8411-1-1-1111-1-1-1i−i−ii-111-1-111-11-11i−i−ii−iii−i1-1−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ22−ζ22−ζ22ζ221+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32ζ22−ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ22−1−i321+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ14−ζ14−ζ14ζ141−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32ζ14−ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ14−1+i321−i32
χ8511-1-1-1111-1-1-1−iii−i-111-1-1111-11-1−iii−i−iii−i-11−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ22ζ22ζ22−ζ221+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ221+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32
χ8611-1-1-1111-1-1-1−iii−i-111-1-111-11-11−iii−ii−i−ii1-1−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ22ζ22ζ22−ζ221+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−ζ22ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22−1−i321+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−ζ14ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14−1+i321−i32
χ8711-1-1-1111-1-1-1−ii−ii1-1111-1-11-11-1−ii−ii−ii−ii1-1−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ22ζ22−ζ22ζ22−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−1−i321+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ14ζ14−ζ14ζ14−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−1+i321−i32
χ8811-1-1-1111-1-1-1−ii−ii1-1111-1-1-11-11−ii−iii−ii−i-11−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ22ζ22−ζ22ζ22−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ221+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ14ζ14−ζ14ζ14−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ141−i32−1+i32
χ8922222-12-1-1-1-1222222-1-1-1-1-10000-1-1-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i3200001+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i3200001−i321−i321−i321−i32000000
χ9022222-12-1-1-1-122-2-2-2-2-111110000-1-111000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i3200001+i321+i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i3200001−i321−i32−1+i32−1+i32000000
χ9122222-12-1-1-1-1-2-222-2-2-11111000011-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i321+i321+i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i321−i321−i32000000
χ9222222-12-1-1-1-1-2-2-2-222-1-1-1-1-100001111000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32000000
χ932222-22-2222-2000000-200002-2-220000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i30000001+i30000−1−i31+i31+i3−1−i30000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i30000001−i30000−1+i31−i31−i3−1+i30000000000
χ942222-22-2222-2000000-20000-222-20000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i30000001+i300001+i3−1−i3−1−i31+i30000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i30000001−i300001−i3−1+i3−1+i31−i30000000000
χ9522-2-222-22-2-22000000-2000022-2-20000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i30000001+i30000−1−i3−1−i31+i31+i30000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i30000001−i30000−1+i3−1+i31−i31−i30000000000
χ9622-2-222-22-2-22000000-20000-2-2220000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i30000001+i300001+i31+i3−1−i3−1−i30000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i30000001−i300001−i31−i3−1+i3−1+i30000000000
χ9722-2-2-2-12-11112i−2i2i−2i2-2-1-1-1110000−ii−ii000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i32−1−i32−1−i322ζ22−2ζ222ζ22−2ζ22−1−i31+i31+i321+i321+i32−1−i32−1−i320000−ζ22ζ22−ζ22ζ22000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i32−1+i32−1+i322ζ14−2ζ142ζ14−2ζ14−1+i31−i31−i321−i321−i32−1+i32−1+i320000−ζ14ζ14−ζ14ζ14000000
χ9822-2-2-2-12-11112i−2i−2i2i-22-111-1-10000−iii−i000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i32−1−i32−1−i322ζ22−2ζ22−2ζ222ζ221+i3−1−i31+i32−1−i32−1−i321+i321+i320000−ζ22ζ22ζ22−ζ22000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i32−1+i32−1+i322ζ14−2ζ14−2ζ142ζ141−i3−1+i31−i32−1+i32−1+i321−i321−i320000−ζ14ζ14ζ14−ζ14000000
χ9922-2-2-2-12-1111−2i2i2i−2i-22-111-1-10000i−i−ii000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i32−1−i32−1−i32−2ζ222ζ222ζ22−2ζ221+i3−1−i31+i32−1−i32−1−i321+i321+i320000ζ22−ζ22−ζ22ζ22000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i32−1+i32−1+i32−2ζ142ζ142ζ14−2ζ141−i3−1+i31−i32−1+i32−1+i321−i321−i320000ζ14−ζ14−ζ14ζ14000000
χ10022-2-2-2-12-1111−2i2i−2i2i2-2-1-1-1110000i−ii−i000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i32−1−i32−1−i32−2ζ222ζ22−2ζ222ζ22−1−i31+i31+i321+i321+i32−1−i32−1−i320000ζ22−ζ22ζ22−ζ22000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i32−1+i32−1+i32−2ζ142ζ14−2ζ142ζ14−1+i31−i31−i321−i321−i32−1+i32−1+i320000ζ14−ζ14ζ14−ζ14000000
χ1014444-4-2-4-2-2-220000002000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i32+2i31+i31+i31+i3−1−i3000000−1−i3000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i32−2i31−i31−i31−i3−1+i3000000−1+i3000000000000000000
χ10244-4-44-2-4-222-20000002000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i32+2i31+i3−1−i3−1−i31+i3000000−1−i3000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i32−2i31−i3−1+i3−1+i31−i3000000−1+i3000000000000000000
χ1034-44i−4i040-44i−4i00000000000000000000000000−2−2i32+2i34ζ22−4ζ220−2−2i302+2i34ζ22−4ζ2200000000000000000000000000−2+2i32−2i34ζ14−4ζ140−2+2i302−2i34ζ14−4ζ1400000000000000000000000000
χ1044-44i−4i0-202−2i2i00000000i6−i66−600000000000000−2−2i32+2i34ζ22−4ζ2201+i30−1−i3−2ζ222ζ2200000000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ2300000000000000−2+2i32−2i34ζ14−4ζ1401−i30−1+i3−2ζ142ζ1400000000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ2300000000000000
χ1054-44i−4i0-202−2i2i00000000−i6i6−6600000000000000−2−2i32+2i34ζ22−4ζ2201+i30−1−i3−2ζ222ζ22000000002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ2300000000000000−2+2i32−2i34ζ14−4ζ1401−i30−1+i3−2ζ142ζ1400000000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ2300000000000000
χ1064-4−4i4i040-4−4i4i00000000000000000000000000−2−2i32+2i3−4ζ224ζ220−2−2i302+2i3−4ζ224ζ2200000000000000000000000000−2+2i32−2i3−4ζ144ζ140−2+2i302−2i3−4ζ144ζ1400000000000000000000000000
χ1074-4−4i4i0-2022i−2i00000000i6−i6−6600000000000000−2−2i32+2i3−4ζ224ζ2201+i30−1−i32ζ22−2ζ2200000000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ2300000000000000−2+2i32−2i3−4ζ144ζ1401−i30−1+i32ζ14−2ζ1400000000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ2300000000000000
χ1084-4−4i4i0-2022i−2i00000000−i6i66−600000000000000−2−2i32+2i3−4ζ224ζ2201+i30−1−i32ζ22−2ζ22000000002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ2300000000000000−2+2i32−2i3−4ζ144ζ1401−i30−1+i32ζ14−2ζ1400000000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ2300000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.