Finite Group Databasebeta

← Group #11923316

Character table — Group #11923316

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222244444444666666668888888888882222444444888888881212121212121212161616161616161616161616333366666612121212121212121818181818181818242424242424242424242424
order1244248888336612121212224488886612122424242424242424361212612242424243366121212126612122424242466121224242424242424242244248888666612121212224488886612122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ31111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ4111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ5111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ6111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ71111-1-111-1-1111111111-11-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1111111111-11-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1111111111-11-111-1-1-1-1-1-111-1-111-1-1
χ81111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-111-1-11+i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-111-1-11+i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-111-1-11+i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ91111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-111-1-11−i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-111-1-11−i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-111-1-11−i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ101111-1-1-1-111111111111-11-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111111111111-11-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111111111111-11-1-1-111-1-1-1-1-1-111-1-111
χ111111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-1-1-1111+i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-1-1-1111+i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-1-1-1111+i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ121111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-1-1-1111−i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-1-1-1111−i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-1-1-1111−i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ1311-1-11-1i−ii−i1111-1-1-1-1-1-111i−ii−i11-1-1i−ii−ii−ii−i11-1-11-1i−ii−i1111-1-1-1-1-1-111i−ii−i11-1-1i−ii−ii−ii−i11-1-11-1i−ii−i1111-1-1-1-1-1-111i−ii−i11-1-1i−ii−ii−ii−i
χ1411-1-11-1i−ii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111i−ii−i−1−i32−1+i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ711-1-11-1i−ii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111i−ii−i−1−i32−1+i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ711-1-11-1i−ii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111i−ii−i−1−i32−1+i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7
χ1511-1-11-1i−ii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111i−ii−i−1+i32−1−i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ1111-1-11-1i−ii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111i−ii−i−1+i32−1−i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ1111-1-11-1i−ii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111i−ii−i−1+i32−1−i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11
χ1611-1-11-1−ii−ii1111-1-1-1-1-1-111−ii−ii11-1-1−ii−ii−ii−ii11-1-11-1−ii−ii1111-1-1-1-1-1-111−ii−ii11-1-1−ii−ii−ii−ii11-1-11-1−ii−ii1111-1-1-1-1-1-111−ii−ii11-1-1−ii−ii−ii−ii
χ1711-1-11-1−ii−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111−ii−ii−1−i32−1+i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ711-1-11-1−ii−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111−ii−ii−1−i32−1+i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ711-1-11-1−ii−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111−ii−ii−1−i32−1+i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7
χ1811-1-11-1−ii−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111−ii−ii−1+i32−1−i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ1111-1-11-1−ii−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111−ii−ii−1+i32−1−i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ1111-1-11-1−ii−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111−ii−ii−1+i32−1−i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
χ1911-1-1-11i−i−ii1111-1-1-1-1-111-1i−i−ii-1-111i−i−iii−i−ii11-1-1-11i−i−ii1111-1-1-1-1-111-1i−i−ii-1-111i−i−iii−i−ii11-1-1-11i−i−ii1111-1-1-1-1-111-1i−i−ii-1-111i−i−iii−i−ii
χ2011-1-1-11i−i−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1i−i−ii1+i321−i32−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ711-1-1-11i−i−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1i−i−ii1+i321−i32−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ711-1-1-11i−i−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1i−i−ii1+i321−i32−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7
χ2111-1-1-11i−i−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1i−i−ii1−i321+i32−1+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ1111-1-1-11i−i−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1i−i−ii1−i321+i32−1+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ1111-1-1-11i−i−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1i−i−ii1−i321+i32−1+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11
χ2211-1-1-11−iii−i1111-1-1-1-1-111-1−iii−i-1-111−iii−i−iii−i11-1-1-11−iii−i1111-1-1-1-1-111-1−iii−i-1-111−iii−i−iii−i11-1-1-11−iii−i1111-1-1-1-1-111-1−iii−i-1-111−iii−i−iii−i
χ2311-1-1-11−iii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1−iii−i1+i321−i32−1−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ711-1-1-11−iii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1−iii−i1+i321−i32−1−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ711-1-1-11−iii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1−iii−i1+i321−i32−1−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7
χ2411-1-1-11−iii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1−iii−i1−i321+i32−1+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ1111-1-1-11−iii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1−iii−i1−i321+i32−1+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ1111-1-1-11−iii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1−iii−i1−i321+i32−1+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11
χ25333333333300000000-1-1-1-1-1-1-1-1000000000000333333333300000000-1-1-1-1-1-1-1-1000000000000333333333300000000-1-1-1-1-1-1-1-1000000000000
χ26333333-3-3-3-300000000-1-1-1-11111000000000000333333-3-3-3-300000000-1-1-1-11111000000000000333333-3-3-3-300000000-1-1-1-11111000000000000
χ273333-3-333-3-300000000-11-11-1-1110000000000003333-3-333-3-300000000-11-11-1-1110000000000003333-3-333-3-300000000-11-11-1-111000000000000
χ283333-3-3-3-33300000000-11-1111-1-10000000000003333-3-3-3-33300000000-11-1111-1-10000000000003333-3-3-3-33300000000-11-1111-1-1000000000000
χ2933-3-33-33i−3i3i−3i0000000011-1-1−ii−ii00000000000033-3-33-33i−3i3i−3i0000000011-1-1−ii−ii00000000000033-3-33-33i−3i3i−3i0000000011-1-1−ii−ii000000000000
χ3033-3-33-3−3i3i−3i3i0000000011-1-1i−ii−i00000000000033-3-33-3−3i3i−3i3i0000000011-1-1i−ii−i00000000000033-3-33-3−3i3i−3i3i0000000011-1-1i−ii−i000000000000
χ3133-3-3-333i−3i−3i3i000000001-1-11−iii−i00000000000033-3-3-333i−3i−3i3i000000001-1-11−iii−i00000000000033-3-3-333i−3i−3i3i000000001-1-11−iii−i000000000000
χ3233-3-3-33−3i3i3i−3i000000001-1-11i−i−ii00000000000033-3-3-33−3i3i3i−3i000000001-1-11i−i−ii00000000000033-3-3-33−3i3i3i−3i000000001-1-11i−i−ii000000000000
χ334-44i−4i000000-2-2222i−2i2i−2i000000000000000000004-44i−4i000000-2-2222i−2i2i−2i000000000000000000004-44i−4i000000-2-2222i−2i2i−2i00000000000000000000
χ344-44i−4i0000001+i31−i3−1−i3−1+i32ζ11−2ζ112ζ7−2ζ7000000000000000000004-44i−4i0000001+i31−i3−1−i3−1+i32ζ11−2ζ112ζ7−2ζ7000000000000000000004-44i−4i0000001+i31−i3−1−i3−1+i32ζ11−2ζ112ζ7−2ζ700000000000000000000
χ354-44i−4i0000001−i31+i3−1+i3−1−i32ζ7−2ζ72ζ11−2ζ11000000000000000000004-44i−4i0000001−i31+i3−1+i3−1−i32ζ7−2ζ72ζ11−2ζ11000000000000000000004-44i−4i0000001−i31+i3−1+i3−1−i32ζ7−2ζ72ζ11−2ζ1100000000000000000000
χ364-4−4i4i000000-2-222−2i2i−2i2i000000000000000000004-4−4i4i000000-2-222−2i2i−2i2i000000000000000000004-4−4i4i000000-2-222−2i2i−2i2i00000000000000000000
χ374-4−4i4i0000001+i31−i3−1−i3−1+i3−2ζ112ζ11−2ζ72ζ7000000000000000000004-4−4i4i0000001+i31−i3−1−i3−1+i3−2ζ112ζ11−2ζ72ζ7000000000000000000004-4−4i4i0000001+i31−i3−1−i3−1+i3−2ζ112ζ11−2ζ72ζ700000000000000000000
χ384-4−4i4i0000001−i31+i3−1+i3−1−i3−2ζ72ζ7−2ζ112ζ11000000000000000000004-4−4i4i0000001−i31+i3−1+i3−1−i3−2ζ72ζ7−2ζ112ζ11000000000000000000004-4−4i4i0000001−i31+i3−1+i3−1−i3−2ζ72ζ7−2ζ112ζ1100000000000000000000
χ391111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ401111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ411111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ42111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ43111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-111111+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-111111+i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ44111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-111111−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-111111−i321+i321−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ451111-1-111-1-1111111111-11-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1111111111-11-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1111111-1-111-1-111
χ461111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-111-1-11+i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-111-1-11+i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1-111-1-1111+i321−i321+i321−i321+i321+i321−i321−i32-11-11-1-111−1−i32−1+i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ471111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-111-1-11−i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-111-1-11−i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1-111-1-1111−i321+i321−i321+i321−i321−i321+i321+i32-11-11-1-111−1+i32−1−i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ481111-1-1-1-111111111111-11-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111111111111-11-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-111-1-1
χ491111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-1-1-1111+i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-1-1-1111+i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-1-11111-1-11+i321−i321+i321−i321+i321+i321−i321−i32-11-1111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ501111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-1-1-1111−i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-1-1-1111−i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-1-11111-1-11−i321+i321−i321+i321−i321−i321+i321+i32-11-1111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ5111-1-11-1i−ii−i1111-1-1-1-1-1-111i−ii−i11-1-1i−ii−ii−ii−i11-1-11-1i−ii−i1111-1-1-1-1-1-111i−ii−i11-1-1i−ii−ii−ii−i-1-111-11−ii−ii-1-1-1-1111111-1-1−ii−ii-1-111−ii−ii−ii−ii
χ5211-1-11-1i−ii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111i−ii−i−1−i32−1+i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ711-1-11-1i−ii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111i−ii−i−1−i32−1+i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7-1-111-11−ii−ii1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1−ii−ii1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7
χ5311-1-11-1i−ii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111i−ii−i−1+i32−1−i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ1111-1-11-1i−ii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111i−ii−i−1+i32−1−i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11-1-111-11−ii−ii1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1−ii−ii1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
χ5411-1-11-1−ii−ii1111-1-1-1-1-1-111−ii−ii11-1-1−ii−ii−ii−ii11-1-11-1−ii−ii1111-1-1-1-1-1-111−ii−ii11-1-1−ii−ii−ii−ii-1-111-11i−ii−i-1-1-1-1111111-1-1i−ii−i-1-111i−ii−ii−ii−i
χ5511-1-11-1−ii−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111−ii−ii−1−i32−1+i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ711-1-11-1−ii−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111−ii−ii−1−i32−1+i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7-1-111-11i−ii−i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1i−ii−i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7
χ5611-1-11-1−ii−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111−ii−ii−1+i32−1−i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ1111-1-11-1−ii−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111−ii−ii−1+i32−1−i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11-1-111-11i−ii−i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1i−ii−i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11
χ5711-1-1-11i−i−ii1111-1-1-1-1-111-1i−i−ii-1-111i−i−iii−i−ii11-1-1-11i−i−ii1111-1-1-1-1-111-1i−i−ii-1-111i−i−iii−i−ii-1-1111-1−iii−i-1-1-1-111111-1-11−iii−i11-1-1−iii−i−iii−i
χ5811-1-1-11i−i−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1i−i−ii1+i321−i32−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ711-1-1-11i−i−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1i−i−ii1+i321−i32−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7-1-1111-1−iii−i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-11−iii−i−1−i32−1+i321+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7
χ5911-1-1-11i−i−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1i−i−ii1−i321+i32−1+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ1111-1-1-11i−i−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1i−i−ii1−i321+i32−1+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11-1-1111-1−iii−i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-11−iii−i−1+i32−1−i321−i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11
χ6011-1-1-11−iii−i1111-1-1-1-1-111-1−iii−i-1-111−iii−i−iii−i11-1-1-11−iii−i1111-1-1-1-1-111-1−iii−i-1-111−iii−i−iii−i-1-1111-1i−i−ii-1-1-1-111111-1-11i−i−ii11-1-1i−i−iii−i−ii
χ6111-1-1-11−iii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1−iii−i1+i321−i32−1−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ711-1-1-11−iii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1−iii−i1+i321−i32−1−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7-1-1111-1i−i−ii1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-11i−i−ii−1−i32−1+i321+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7
χ6211-1-1-11−iii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1−iii−i1−i321+i32−1+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ1111-1-1-11−iii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1−iii−i1−i321+i32−1+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11-1-1111-1i−i−ii1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-11i−i−ii−1+i32−1−i321−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11
χ63333333333300000000-1-1-1-1-1-1-1-1000000000000333333333300000000-1-1-1-1-1-1-1-1000000000000-3-3-3-3-3-3-3-3-3-30000000011111111000000000000
χ64333333-3-3-3-300000000-1-1-1-11111000000000000333333-3-3-3-300000000-1-1-1-11111000000000000-3-3-3-3-3-33333000000001111-1-1-1-1000000000000
χ653333-3-333-3-300000000-11-11-1-1110000000000003333-3-333-3-300000000-11-11-1-111000000000000-3-3-3-333-3-333000000001-11-111-1-1000000000000
χ663333-3-3-3-33300000000-11-1111-1-10000000000003333-3-3-3-33300000000-11-1111-1-1000000000000-3-3-3-33333-3-3000000001-11-1-1-111000000000000
χ6733-3-33-33i−3i3i−3i0000000011-1-1−ii−ii00000000000033-3-33-33i−3i3i−3i0000000011-1-1−ii−ii000000000000-3-333-33−3i3i−3i3i00000000-1-111i−ii−i000000000000
χ6833-3-33-3−3i3i−3i3i0000000011-1-1i−ii−i00000000000033-3-33-3−3i3i−3i3i0000000011-1-1i−ii−i000000000000-3-333-333i−3i3i−3i00000000-1-111−ii−ii000000000000
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χ744-4−4i4i000000-2-222−2i2i−2i2i000000000000000000004-4−4i4i000000-2-222−2i2i−2i2i00000000000000000000-444i−4i00000022-2-22i−2i2i−2i00000000000000000000
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χ7722222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ782222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i3200000000000000000000000000000000000000
χ792222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i3200000000000000000000000000000000000000
χ80222222-2-2-2-2222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111100000000000000000000000000000000000000
χ81222222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32222-2-2-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3-1-1-1-1-1-111111+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-111111+i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000000000000000000000000000000000
χ82222222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32222-2-2-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i3-1-1-1-1-1-111111−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-111111−i321+i321−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3200000000000000000000000000000000000000
χ832222-2-222-2-2222222222-22-222-2-2-2-2-2-222-2-222-2-2-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1111111-1-111-1-11100000000000000000000000000000000000000
χ842222-2-222-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-22-222-2-21+i31−i31+i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3-1-1-1-111-1-1111+i321−i321+i321−i321+i321+i321−i321−i32-11-11-1-111−1−i32−1+i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3200000000000000000000000000000000000000
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χ862222-2-2-2-222222222222-22-2-2-222-2-2-2-2-2-222-2-222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-111-1-100000000000000000000000000000000000000
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χ1118-88i−8i0000002−2i32+2i3−2+2i3−2−2i34ζ7−4ζ74ζ11−4ζ1100000000000000000000-44−4i4i000000−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ110000000000000000000000000000000000000000000000000000000000
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χ1148-8−8i8i0000002−2i32+2i3−2+2i3−2−2i3−4ζ74ζ7−4ζ114ζ1100000000000000000000-444i−4i000000−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ110000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.