Finite Group Databasebeta

← Group #11752271

Character table — Group #11752271

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size145551455528101010281010102810101041620202041620202014555145552810101028101010281010104162020204162020201455514555281010102810101028101010416202020416202020
order152442102444204448408888408884204444204443156121263061212126012121224120242424241202424241260121212126012121231561212630612121260121212241202424242412024242412601212121260121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1
χ311-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i
χ411-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii
χ54-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-1000
χ61111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ7111-1-1111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111
χ811-1i−i11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii
χ911-1−ii11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i
χ104-10004-10004-10004-10004-1000-41000-410004-10004-10004-10004-10004-1000-41000-410004-10004-10004-10004-10004-1000-41000-41000
χ11111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1
χ12111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1-1-1-111111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1-1-1-111111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1-1-1-111
χ1311-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i-1-11−ii11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i-1-11−ii11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i-1-11−ii
χ1411-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii-1-11i−i11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii-1-11i−i11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii-1-11i−i
χ154-10004-10004-1000-41000-410004-1000-410004-10004-10004-1000-41000-410004-1000-410004-10004-10004-1000-41000-410004-1000-41000
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ17111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111111-1-1
χ1811-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii11-1i−i
χ1911-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i11-1−ii
χ204-10004-10004-1000-41000-41000-410004-10004-10004-10004-1000-41000-41000-410004-10004-10004-10004-1000-41000-41000-410004-1000
χ212222222222-2-2-2-2-2000000000000000000002222222222-2-2-2-2-2000000000000000000002222222222-2-2-2-2-200000000000000000000
χ22222-2-2222-2-2-2-2-22200000000000000000000222-2-2222-2-2-2-2-22200000000000000000000222-2-2222-2-2-2-2-22200000000000000000000
χ2322-22i−2i22-22i−2i-2-22−2i2i0000000000000000000022-22i−2i22-22i−2i-2-22−2i2i0000000000000000000022-22i−2i22-22i−2i-2-22−2i2i00000000000000000000
χ2422-2−2i2i22-2−2i2i-2-222i−2i0000000000000000000022-2−2i2i22-2−2i2i-2-222i−2i0000000000000000000022-2−2i2i22-2−2i2i-2-222i−2i00000000000000000000
χ258-20008-2000-82000000000000000000000008-20008-2000-82000000000000000000000008-20008-2000-8200000000000000000000000
χ2622222-2-2-2-2-20000022222−2−2−2−2−2000000000022222-2-2-2-2-20000022222−2−2−2−2−2000000000022222-2-2-2-2-20000022222−2−2−2−2−20000000000
χ27222-2-2-2-2-22200000222−2−2−2−2−2220000000000222-2-2-2-2-22200000222−2−2−2−2−2220000000000222-2-2-2-2-22200000222−2−2−2−2−2220000000000
χ2822-22i−2i-2-22−2i2i0000022−2i2−i2−2−22−i2i2000000000022-22i−2i-2-22−2i2i0000022−2i2−i2−2−22−i2i2000000000022-22i−2i-2-22−2i2i0000022−2i2−i2−2−22−i2i20000000000
χ2922-2−2i2i-2-222i−2i0000022−2−i2i2−2−22i2−i2000000000022-2−2i2i-2-222i−2i0000022−2−i2i2−2−22i2−i2000000000022-2−2i2i-2-222i−2i0000022−2−i2i2−2−22i2−i20000000000
χ308-2000-820000000042−2000−42200000000000008-2000-820000000042−2000−42200000000000008-2000-820000000042−2000−4220000000000000
χ3122222-2-2-2-2-200000−2−2−2−2−222222000000000022222-2-2-2-2-200000−2−2−2−2−222222000000000022222-2-2-2-2-200000−2−2−2−2−2222220000000000
χ32222-2-2-2-2-22200000−2−2−222222−2−20000000000222-2-2-2-2-22200000−2−2−222222−2−20000000000222-2-2-2-2-22200000−2−2−222222−2−20000000000
χ3322-22i−2i-2-22−2i2i00000−2−22−i2i222−2i2−i2000000000022-22i−2i-2-22−2i2i00000−2−22−i2i222−2i2−i2000000000022-22i−2i-2-22−2i2i00000−2−22−i2i222−2i2−i20000000000
χ3422-2−2i2i-2-222i−2i00000−2−22i2−i222−2−i2i2000000000022-2−2i2i-2-222i−2i00000−2−22i2−i222−2−i2i2000000000022-2−2i2i-2-222i−2i00000−2−22i2−i222−2−i2i20000000000
χ358-2000-8200000000−42200042−200000000000008-2000-8200000000−42200042−200000000000008-2000-8200000000−42200042−20000000000000
χ3611111111111111111111111111111111111−1+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
χ37111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ3811-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ14−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ22
χ3911-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22
χ404-10004-10004-10004-10004-10004-10004-1000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i321−i321−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−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+i321+i321+i32
χ42111-1-1111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ4311-1i−i11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ141−i321−i32−1+i32−ζ14ζ141−i321−i32−1+i32−ζ14ζ14−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ221+i321+i32−1−i32−ζ22ζ221+i321+i32−1−i32−ζ22ζ22
χ4411-1−ii11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ141−i321−i32−1+i32ζ14−ζ141−i321−i32−1+i32ζ14−ζ14−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ221+i321+i32−1−i32ζ22−ζ221+i321+i32−1−i32ζ22−ζ22
χ454-10004-10004-10004-10004-1000-41000-41000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i320002−2i3−1+i320002−2i3−1+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i320002+2i3−1−i320002+2i3−1−i32000
χ46111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ47111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1-1-1-111−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ4811-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i-1-11−ii−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ141−i321−i32−1+i32−ζ14ζ141−i321−i32−1+i32−ζ14ζ14−1+i32−1+i321−i32ζ14−ζ141−i321−i32−1+i32−ζ14ζ14−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ221+i321+i32−1−i32−ζ22ζ221+i321+i32−1−i32−ζ22ζ22−1−i32−1−i321+i32ζ22−ζ221+i321+i32−1−i32−ζ22ζ22
χ4911-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii-1-11i−i−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ141−i321−i32−1+i32ζ14−ζ141−i321−i32−1+i32ζ14−ζ14−1+i32−1+i321−i32−ζ14ζ141−i321−i32−1+i32ζ14−ζ14−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ221+i321+i32−1−i32ζ22−ζ221+i321+i32−1−i32ζ22−ζ22−1−i32−1−i321+i32−ζ22ζ221+i321+i32−1−i32ζ22−ζ22
χ504-10004-10004-1000-41000-410004-1000-41000−2+2i31−i32000−2+2i31−i32000−2+2i31−i320002−2i3−1+i320002−2i3−1+i32000−2+2i31−i320002−2i3−1+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i320002+2i3−1−i320002+2i3−1−i32000−2−2i31+i320002+2i3−1−i32000
χ51111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−1+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−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32
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χ7411-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14
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χ82111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1-1-1-111−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ8311-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i-1-11−ii−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ221+i321+i32−1−i32−ζ22ζ221+i321+i32−1−i32−ζ22ζ22−1−i32−1−i321+i32ζ22−ζ221+i321+i32−1−i32−ζ22ζ22−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ141−i321−i32−1+i32−ζ14ζ141−i321−i32−1+i32−ζ14ζ14−1+i32−1+i321−i32ζ14−ζ141−i321−i32−1+i32−ζ14ζ14
χ8411-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii-1-11i−i−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ221+i321+i32−1−i32ζ22−ζ221+i321+i32−1−i32ζ22−ζ22−1−i32−1−i321+i32−ζ22ζ221+i321+i32−1−i32ζ22−ζ22−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ141−i321−i32−1+i32ζ14−ζ141−i321−i32−1+i32ζ14−ζ14−1+i32−1+i321−i32−ζ14ζ141−i321−i32−1+i32ζ14−ζ14
χ854-10004-10004-1000-41000-410004-1000-41000−2−2i31+i32000−2−2i31+i32000−2−2i31+i320002+2i3−1−i320002+2i3−1−i32000−2−2i31+i320002+2i3−1−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i320002−2i3−1+i320002−2i3−1+i32000−2+2i31−i320002−2i3−1+i32000
χ86111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−1−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+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ87111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111111-1-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ8811-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii11-1i−i−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i32ζ22−ζ221+i321+i32−1−i32−ζ22ζ221+i321+i32−1−i32−ζ22ζ221+i321+i32−1−i32−ζ22ζ22−1−i32−1−i321+i32ζ22−ζ22−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i32ζ14−ζ141−i321−i32−1+i32−ζ14ζ141−i321−i32−1+i32−ζ14ζ141−i321−i32−1+i32−ζ14ζ14−1+i32−1+i321−i32ζ14−ζ14
χ8911-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i11-1−ii−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i32−ζ22ζ221+i321+i32−1−i32ζ22−ζ221+i321+i32−1−i32ζ22−ζ221+i321+i32−1−i32ζ22−ζ22−1−i32−1−i321+i32−ζ22ζ22−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i32−ζ14ζ141−i321−i32−1+i32ζ14−ζ141−i321−i32−1+i32ζ14−ζ141−i321−i32−1+i32ζ14−ζ14−1+i32−1+i321−i32−ζ14ζ14
χ904-10004-10004-1000-41000-41000-410004-1000−2−2i31+i32000−2−2i31+i32000−2−2i31+i320002+2i3−1−i320002+2i3−1−i320002+2i3−1−i32000−2−2i31+i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i320002−2i3−1+i320002−2i3−1+i320002−2i3−1+i32000−2+2i31−i32000
χ912222222222-2-2-2-2-200000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i300000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i300000000000000000000
χ92222-2-2222-2-2-2-2-22200000000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i300000000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i300000000000000000000
χ9322-22i−2i22-22i−2i-2-22−2i2i00000000000000000000−1−i3−1−i31+i32ζ22−2ζ22−1−i3−1−i31+i32ζ22−2ζ221+i31+i3−1−i3−2ζ222ζ2200000000000000000000−1+i3−1+i31−i32ζ14−2ζ14−1+i3−1+i31−i32ζ14−2ζ141−i31−i3−1+i3−2ζ142ζ1400000000000000000000
χ9422-2−2i2i22-2−2i2i-2-222i−2i00000000000000000000−1−i3−1−i31+i3−2ζ222ζ22−1−i3−1−i31+i3−2ζ222ζ221+i31+i3−1−i32ζ22−2ζ2200000000000000000000−1+i3−1+i31−i3−2ζ142ζ14−1+i3−1+i31−i3−2ζ142ζ141−i31−i3−1+i32ζ14−2ζ1400000000000000000000
χ958-20008-2000-8200000000000000000000000−4−4i31+i3000−4−4i31+i30004+4i3−1−i300000000000000000000000−4+4i31−i3000−4+4i31−i30004−4i3−1+i300000000000000000000000
χ9622222-2-2-2-2-20000022222−2−2−2−2−20000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i300000−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ130000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i300000ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ230000000000
χ97222-2-2-2-2-22200000222−2−2−2−2−2220000000000−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i300000−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ130000000000−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i300000ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ230000000000
χ9822-22i−2i-2-22−2i2i0000022−2i2−i2−2−22−i2i20000000000−1−i3−1−i31+i32ζ22−2ζ221+i31+i3−1−i3−2ζ222ζ2200000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ130000000000−1+i3−1+i31−i32ζ14−2ζ141−i31−i3−1+i3−2ζ142ζ1400000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ230000000000
χ9922-2−2i2i-2-222i−2i0000022−2−i2i2−2−22i2−i20000000000−1−i3−1−i31+i3−2ζ222ζ221+i31+i3−1−i32ζ22−2ζ2200000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ130000000000−1+i3−1+i31−i3−2ζ142ζ141−i31−i3−1+i32ζ14−2ζ1400000ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ230000000000
χ1008-2000-820000000042−2000−4220000000000000−4−4i31+i30004+4i3−1−i300000000−4ζ7+4ζ13ζ7−ζ130004ζ7−4ζ13−ζ7+ζ130000000000000−4+4i31−i30004−4i3−1+i3000000004ζ5−4ζ23−ζ5+ζ23000−4ζ5+4ζ23ζ5−ζ230000000000000
χ10122222-2-2-2-2-200000−2−2−2−2−2222220000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i300000ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ130000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i300000−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ230000000000
χ102222-2-2-2-2-22200000−2−2−222222−2−20000000000−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i300000ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ130000000000−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i300000−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ230000000000
χ10322-22i−2i-2-22−2i2i00000−2−22−i2i222−2i2−i20000000000−1−i3−1−i31+i32ζ22−2ζ221+i31+i3−1−i3−2ζ222ζ2200000ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ130000000000−1+i3−1+i31−i32ζ14−2ζ141−i31−i3−1+i3−2ζ142ζ1400000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ230000000000
χ10422-2−2i2i-2-222i−2i00000−2−22i2−i222−2−i2i20000000000−1−i3−1−i31+i3−2ζ222ζ221+i31+i3−1−i32ζ22−2ζ2200000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ130000000000−1+i3−1+i31−i3−2ζ142ζ141−i31−i3−1+i32ζ14−2ζ1400000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ230000000000
χ1058-2000-8200000000−42200042−20000000000000−4−4i31+i30004+4i3−1−i3000000004ζ7−4ζ13−ζ7+ζ13000−4ζ7+4ζ13ζ7−ζ130000000000000−4+4i31−i30004−4i3−1+i300000000−4ζ5+4ζ23ζ5−ζ230004ζ5−4ζ23−ζ5+ζ230000000000000

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