Finite Group Databasebeta

← Group #10591986

Character table — Group #10591986

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222244444444444466668888121212121212111122222244444444444466668888121212121212111122222244444444444466668888121212121212
order12223446664444881212242424244444121212122244883666312126661212121224241212242424241212121212121212661212242436663121266612121212242412122424242412121212121212126612122424
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
χ3111111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1
χ4111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111-1-111-1-111-1-1-1-11111-1-111-1-111-1-11111111111-1-111-1-111-1-1-1-11111-1-111-1-111-1-11111111111-1-111-1-111-1-1-1-11111-1-111-1-111-1-1
χ61111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ81111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ91-11-111-1-11-1i−ii−i1-1-1111-1-1i−ii−ii−ii−i1-11-1i−i1-11-111-1-11-1i−ii−i1-1-1111-1-1i−ii−ii−ii−i1-11-1i−i1-11-111-1-11-1i−ii−i1-1-1111-1-1i−ii−ii−ii−i1-11-1i−i
χ101-11-111-1-11-1i−ii−i1-1-1111-1-1−ii−iii−ii−i-11-11−ii1-11-111-1-11-1i−ii−i1-1-1111-1-1−ii−iii−ii−i-11-11−ii1-11-111-1-11-1i−ii−i1-1-1111-1-1−ii−iii−ii−i-11-11−ii
χ111-11-111-1-11-1i−i−ii-11-11-1-111i−ii−ii−i−ii1-1-11−ii1-11-111-1-11-1i−i−ii-11-11-1-111i−ii−ii−i−ii1-1-11−ii1-11-111-1-11-1i−i−ii-11-11-1-111i−ii−ii−i−ii1-1-11−ii
χ121-11-111-1-11-1i−i−ii-11-11-1-111−ii−iii−i−ii-111-1i−i1-11-111-1-11-1i−i−ii-11-11-1-111−ii−iii−i−ii-111-1i−i1-11-111-1-11-1i−i−ii-11-11-1-111−ii−iii−i−ii-111-1i−i
χ131-11-111-1-11-1−iii−i-11-11-1-111i−ii−i−iii−i-111-1−ii1-11-111-1-11-1−iii−i-11-11-1-111i−ii−i−iii−i-111-1−ii1-11-111-1-11-1−iii−i-11-11-1-111i−ii−i−iii−i-111-1−ii
χ141-11-111-1-11-1−iii−i-11-11-1-111−ii−ii−iii−i1-1-11i−i1-11-111-1-11-1−iii−i-11-11-1-111−ii−ii−iii−i1-1-11i−i1-11-111-1-11-1−iii−i-11-11-1-111−ii−ii−iii−i1-1-11i−i
χ151-11-111-1-11-1−ii−ii1-1-1111-1-1i−ii−i−ii−ii-11-11i−i1-11-111-1-11-1−ii−ii1-1-1111-1-1i−ii−i−ii−ii-11-11i−i1-11-111-1-11-1−ii−ii1-1-1111-1-1i−ii−i−ii−ii-11-11i−i
χ161-11-111-1-11-1−ii−ii1-1-1111-1-1−ii−ii−ii−ii1-11-1−ii1-11-111-1-11-1−ii−ii1-1-1111-1-1−ii−ii−ii−ii1-11-1−ii1-11-111-1-11-1−ii−ii1-1-1111-1-1−ii−ii−ii−ii1-11-1−ii
χ1722222-2-2222000000-2-2000022-2-2000000000022222-2-2222000000-2-2000022-2-2000000000022222-2-2222000000-2-2000022-2-20000000000
χ1822222-2-2222000000-2-20000-2-222000000000022222-2-2222000000-2-20000-2-222000000000022222-2-2222000000-2-20000-2-2220000000000
χ192222-122-1-1-1222222-1-1-1-1-1-10000-1-1-1-10000002222-122-1-1-1222222-1-1-1-1-1-10000-1-1-1-10000002222-122-1-1-1222222-1-1-1-1-1-10000-1-1-1-1000000
χ202222-122-1-1-122-2-2-2-2-1-111110000-1-1110000002222-122-1-1-122-2-2-2-2-1-111110000-1-1110000002222-122-1-1-122-2-2-2-2-1-111110000-1-111000000
χ212222-122-1-1-1-2-222-2-2-1-11111000011-1-10000002222-122-1-1-1-2-222-2-2-1-11111000011-1-10000002222-122-1-1-1-2-222-2-2-1-11111000011-1-1000000
χ222222-122-1-1-1-2-2-2-222-1-1-1-1-1-1000011110000002222-122-1-1-1-2-2-2-222-1-1-1-1-1-1000011110000002222-122-1-1-1-2-2-2-222-1-1-1-1-1-100001111000000
χ232-22-22-22-22-20000002-200002i−2i−2i2i00000000002-22-22-22-22-20000002-200002i−2i−2i2i00000000002-22-22-22-22-20000002-200002i−2i−2i2i0000000000
χ242-22-22-22-22-20000002-20000−2i2i2i−2i00000000002-22-22-22-22-20000002-20000−2i2i2i−2i00000000002-22-22-22-22-20000002-20000−2i2i2i−2i0000000000
χ252-22-2-12-21-112i−2i2i−2i2-21-1-1-1110000−ii−ii0000002-22-2-12-21-112i−2i2i−2i2-21-1-1-1110000−ii−ii0000002-22-2-12-21-112i−2i2i−2i2-21-1-1-1110000−ii−ii000000
χ262-22-2-12-21-112i−2i−2i2i-221-111-1-10000−iii−i0000002-22-2-12-21-112i−2i−2i2i-221-111-1-10000−iii−i0000002-22-2-12-21-112i−2i−2i2i-221-111-1-10000−iii−i000000
χ272-22-2-12-21-11−2i2i2i−2i-221-111-1-10000i−i−ii0000002-22-2-12-21-11−2i2i2i−2i-221-111-1-10000i−i−ii0000002-22-2-12-21-11−2i2i2i−2i-221-111-1-10000i−i−ii000000
χ282-22-2-12-21-11−2i2i−2i2i2-21-1-1-1110000i−ii−i0000002-22-2-12-21-11−2i2i−2i2i2-21-1-1-1110000i−ii−i0000002-22-2-12-21-11−2i2i−2i2i2-21-1-1-1110000i−ii−i000000
χ294444-2-4-4-2-2-2000000220000000000000000004444-2-4-4-2-2-2000000220000000000000000004444-2-4-4-2-2-200000022000000000000000000
χ3044-4-44004-4-40000000000000000000000000044-4-44004-4-40000000000000000000000000044-4-44004-4-400000000000000000000000000
χ3144-4-4-200-22200000000i6−i6i6−i60000000000000044-4-4-200-22200000000i6−i6i6−i60000000000000044-4-4-200-22200000000i6−i6i6−i600000000000000
χ3244-4-4-200-22200000000−i6i6−i6i60000000000000044-4-4-200-22200000000−i6i6−i6i60000000000000044-4-4-200-22200000000−i6i6−i6i600000000000000
χ334-44-4-2-442-22000000-220000000000000000004-44-4-2-442-22000000-220000000000000000004-44-4-2-442-22000000-22000000000000000000
χ344-4-44400-4-44000000000000000000000000004-4-44400-4-44000000000000000000000000004-4-44400-4-4400000000000000000000000000
χ354-4-44-20022-200000000i6−i6−i6i6000000000000004-4-44-20022-200000000i6−i6−i6i6000000000000004-4-44-20022-200000000i6−i6−i6i600000000000000
χ364-4-44-20022-200000000−i6i6i6−i6000000000000004-4-44-20022-200000000−i6i6i6−i6000000000000004-4-44-20022-200000000−i6i6i6−i600000000000000
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
χ39111111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−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
χ40111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−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
χ411111111111-1-111-1-111-1-1-1-11111-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i32−1−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
χ421111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i32−1−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
χ431111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ441111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i321−i321−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ451-11-111-1-11-1i−ii−i1-1-1111-1-1i−ii−ii−ii−i1-11-1i−i−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22
χ461-11-111-1-11-1i−ii−i1-1-1111-1-1−ii−iii−ii−i-11-11−ii−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ141−i32−1+i321−i32−1+i32−ζ14ζ14−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ221+i32−1−i321+i32−1−i32−ζ22ζ22
χ471-11-111-1-11-1i−i−ii-11-11-1-111i−ii−ii−i−ii1-1-11−ii−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14−ζ14−ζ14ζ141−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14−1+i321−i321−i32−1+i32−ζ14ζ14−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22−ζ22−ζ22ζ221+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22−1−i321+i321+i32−1−i32−ζ22ζ22
χ481-11-111-1-11-1i−i−ii-11-11-1-111−ii−iii−i−ii-111-1i−i−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14−ζ14−ζ14ζ141−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ141−i32−1+i32−1+i321−i32ζ14−ζ14−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22−ζ22−ζ22ζ221+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ221+i32−1−i32−1−i321+i32ζ22−ζ22
χ491-11-111-1-11-1−iii−i-11-11-1-111i−ii−i−iii−i-111-1−ii−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14ζ14ζ14−ζ141−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i321−i32−ζ14ζ14−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22ζ22ζ22−ζ221+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ221+i32−1−i32−1−i321+i32−ζ22ζ22
χ501-11-111-1-11-1−iii−i-11-11-1-111−ii−ii−iii−i1-1-11i−i−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14ζ14ζ14−ζ141−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ14−1+i321−i321−i32−1+i32ζ14−ζ14−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22ζ22ζ22−ζ221+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ22−1−i321+i321+i32−1−i32ζ22−ζ22
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χ801111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i321+i321+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ811-11-111-1-11-1i−ii−i1-1-1111-1-1i−ii−ii−ii−i1-11-1i−i−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14
χ821-11-111-1-11-1i−ii−i1-1-1111-1-1−ii−iii−ii−i-11-11−ii−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ221+i32−1−i321+i32−1−i32−ζ22ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ141−i32−1+i321−i32−1+i32−ζ14ζ14
χ831-11-111-1-11-1i−i−ii-11-11-1-111i−ii−ii−i−ii1-1-11−ii−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22−ζ22−ζ22ζ221+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22−1−i321+i321+i32−1−i32−ζ22ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14−ζ14−ζ14ζ141−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14−1+i321−i321−i32−1+i32−ζ14ζ14
χ841-11-111-1-11-1i−i−ii-11-11-1-111−ii−iii−i−ii-111-1i−i−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22−ζ22−ζ22ζ221+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ221+i32−1−i32−1−i321+i32ζ22−ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14−ζ14−ζ14ζ141−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ141−i32−1+i32−1+i321−i32ζ14−ζ14
χ851-11-111-1-11-1−iii−i-11-11-1-111i−ii−i−iii−i-111-1−ii−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22ζ22ζ22−ζ221+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ221+i32−1−i32−1−i321+i32−ζ22ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14ζ14ζ14−ζ141−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i321−i32−ζ14ζ14
χ861-11-111-1-11-1−iii−i-11-11-1-111−ii−ii−iii−i1-1-11i−i−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22ζ22ζ22−ζ221+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ22−1−i321+i321+i32−1−i32ζ22−ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14ζ14ζ14−ζ141−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ14−1+i321−i321−i32−1+i32ζ14−ζ14
χ871-11-111-1-11-1−ii−ii1-1-1111-1-1i−ii−i−ii−ii-11-11i−i−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ221+i32−1−i321+i32−1−i32ζ22−ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ141−i32−1+i321−i32−1+i32ζ14−ζ14
χ881-11-111-1-11-1−ii−ii1-1-1111-1-1−ii−ii−ii−ii1-11-1−ii−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−1−i321+i32−1−i321+i32−ζ22ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−1+i321−i32−1+i321−i32−ζ14ζ14
χ8922222-2-2222000000-2-2000022-2-20000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i30000001+i31+i30000−1−i3−1−i31+i31+i30000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i30000001−i31−i30000−1+i3−1+i31−i31−i30000000000
χ9022222-2-2222000000-2-20000-2-2220000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i30000001+i31+i300001+i31+i3−1−i3−1−i30000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i30000001−i31−i300001−i31−i3−1+i3−1+i30000000000
χ912222-122-1-1-1222222-1-1-1-1-1-10000-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i3200001+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i3200001−i321−i321−i321−i32000000
χ922222-122-1-1-122-2-2-2-2-1-111110000-1-111000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200001+i321+i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200001−i321−i32−1+i32−1+i32000000
χ932222-122-1-1-1-2-222-2-2-1-11111000011-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i321−i321−i32000000
χ942222-122-1-1-1-2-2-2-222-1-1-1-1-1-100001111000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32000000
χ952-22-22-22-22-20000002-200002i−2i−2i2i0000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3000000−1−i31+i300002ζ22−2ζ22−2ζ222ζ220000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3000000−1+i31−i300002ζ14−2ζ14−2ζ142ζ140000000000
χ962-22-22-22-22-20000002-20000−2i2i2i−2i0000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3000000−1−i31+i30000−2ζ222ζ222ζ22−2ζ220000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3000000−1+i31−i30000−2ζ142ζ142ζ14−2ζ140000000000
χ972-22-2-12-21-112i−2i2i−2i2-21-1-1-1110000−ii−ii000000−1−i31+i3−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i322ζ22−2ζ222ζ22−2ζ22−1−i31+i3−1−i321+i321+i321+i32−1−i32−1−i320000−ζ22ζ22−ζ22ζ22000000−1+i31−i3−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i322ζ14−2ζ142ζ14−2ζ14−1+i31−i3−1+i321−i321−i321−i32−1+i32−1+i320000−ζ14ζ14−ζ14ζ14000000
χ982-22-2-12-21-112i−2i−2i2i-221-111-1-10000−iii−i000000−1−i31+i3−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i322ζ22−2ζ22−2ζ222ζ221+i3−1−i3−1−i321+i32−1−i32−1−i321+i321+i320000−ζ22ζ22ζ22−ζ22000000−1+i31−i3−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i322ζ14−2ζ14−2ζ142ζ141−i3−1+i3−1+i321−i32−1+i32−1+i321−i321−i320000−ζ14ζ14ζ14−ζ14000000
χ992-22-2-12-21-11−2i2i2i−2i-221-111-1-10000i−i−ii000000−1−i31+i3−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i32−2ζ222ζ222ζ22−2ζ221+i3−1−i3−1−i321+i32−1−i32−1−i321+i321+i320000ζ22−ζ22−ζ22ζ22000000−1+i31−i3−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i32−2ζ142ζ142ζ14−2ζ141−i3−1+i3−1+i321−i32−1+i32−1+i321−i321−i320000ζ14−ζ14−ζ14ζ14000000
χ1002-22-2-12-21-11−2i2i−2i2i2-21-1-1-1110000i−ii−i000000−1−i31+i3−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i32−2ζ222ζ22−2ζ222ζ22−1−i31+i3−1−i321+i321+i321+i32−1−i32−1−i320000ζ22−ζ22ζ22−ζ22000000−1+i31−i3−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i32−2ζ142ζ14−2ζ142ζ14−1+i31−i3−1+i321−i321−i321−i32−1+i32−1+i320000ζ14−ζ14ζ14−ζ14000000
χ1014444-2-4-4-2-2-200000022000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i32+2i31+i31+i31+i3000000−1−i3−1−i3000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i32−2i31−i31−i31−i3000000−1+i3−1+i3000000000000000000
χ10244-4-44004-4-400000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i300−2−2i32+2i32+2i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i300−2+2i32−2i32−2i300000000000000000000000000
χ10344-4-4-200-22200000000i6−i6i6−i600000000000000−2−2i3−2−2i32+2i32+2i31+i3001+i3−1−i3−1−i300000000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ2300000000000000−2+2i3−2+2i32−2i32−2i31−i3001−i3−1+i3−1+i300000000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ2300000000000000
χ10444-4-4-200-22200000000−i6i6−i6i600000000000000−2−2i3−2−2i32+2i32+2i31+i3001+i3−1−i3−1−i3000000002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ2300000000000000−2+2i3−2+2i32−2i32−2i31−i3001−i3−1+i3−1+i300000000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ2300000000000000
χ1054-44-4-2-442-22000000-22000000000000000000−2−2i32+2i3−2−2i32+2i31+i32+2i3−2−2i3−1−i31+i3−1−i30000001+i3−1−i3000000000000000000−2+2i32−2i3−2+2i32−2i31−i32−2i3−2+2i3−1+i31−i3−1+i30000001−i3−1+i3000000000000000000
χ1064-4-44400-4-4400000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3002+2i32+2i3−2−2i300000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3002−2i32−2i3−2+2i300000000000000000000000000
χ1074-4-44-20022-200000000i6−i6−i6i600000000000000−2−2i32+2i32+2i3−2−2i31+i300−1−i3−1−i31+i300000000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ2300000000000000−2+2i32−2i32−2i3−2+2i31−i300−1+i3−1+i31−i300000000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ2300000000000000
χ1084-4-44-20022-200000000−i6i6i6−i600000000000000−2−2i32+2i32+2i3−2−2i31+i300−1−i3−1−i31+i3000000002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ2300000000000000−2+2i32−2i32−2i3−2+2i31−i300−1+i3−1+i31−i300000000−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.