Finite Group Databasebeta

← Group #13132393

Character table — Group #13132393

Order 1680.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size1677777167777742428282828284242828282828530353535353553035353535355303535353535530353535353553035353535355303535353535
order172336621426666535101515303010701030303030428412121212428412121212856824242424856824242424856824242424856824242424
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32
χ3111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32
χ411-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-1
χ511-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32
χ611-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32
χ76-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-100000
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ9111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32
χ10111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32
χ1111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111
χ1211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32
χ1311-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32
χ146-1000006-1000006-1000006-1000006-1000006-100000-6100000-6100000-6100000-6100000
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ16111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32iiiζ14ζ22ζ14ζ22iiiζ14ζ22ζ14ζ22−i−i−i−ζ14−ζ22−ζ14−ζ22−i−i−i−ζ14−ζ22−ζ14−ζ22
χ17111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32iiiζ22ζ14ζ22ζ14iiiζ22ζ14ζ22ζ14−i−i−i−ζ22−ζ14−ζ22−ζ14−i−i−i−ζ22−ζ14−ζ22−ζ14
χ1811-111-1-111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-111ii−iii−i−iii−iii−i−i−i−ii−i−iii−i−ii−i−iii
χ1911-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32ii−iζ14ζ22−ζ14−ζ22ii−iζ14ζ22−ζ14−ζ22−i−ii−ζ14−ζ22ζ14ζ22−i−ii−ζ14−ζ22ζ14ζ22
χ2011-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32ii−iζ22ζ14−ζ22−ζ14ii−iζ22ζ14−ζ22−ζ14−i−ii−ζ22−ζ14ζ22ζ14−i−ii−ζ22−ζ14ζ22ζ14
χ216-1000006-1000006-1000006-100000-6100000-61000006i−i000006i−i00000−6ii00000−6ii00000
χ221111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii
χ23111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32−i−i−i−ζ14−ζ22−ζ14−ζ22−i−i−i−ζ14−ζ22−ζ14−ζ22iiiζ14ζ22ζ14ζ22iiiζ14ζ22ζ14ζ22
χ24111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32−i−i−i−ζ22−ζ14−ζ22−ζ14−i−i−i−ζ22−ζ14−ζ22−ζ14iiiζ22ζ14ζ22ζ14iiiζ22ζ14ζ22ζ14
χ2511-111-1-111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-111−i−ii−i−iii−i−ii−i−iiiii−iii−i−iii−iii−i−i
χ2611-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32−i−ii−ζ14−ζ22ζ14ζ22−i−ii−ζ14−ζ22ζ14ζ22ii−iζ14ζ22−ζ14−ζ22ii−iζ14ζ22−ζ14−ζ22
χ2711-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32−i−ii−ζ22−ζ14ζ22ζ14−i−ii−ζ22−ζ14ζ22ζ14ii−iζ22ζ14−ζ22−ζ14ii−iζ22ζ14−ζ22−ζ14
χ286-1000006-1000006-1000006-100000-6100000-6100000−6ii00000−6ii000006i−i000006i−i00000
χ291111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1iiiiiii−i−i−i−i−i−i−iζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13
χ30111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32iiiζ14ζ22ζ14ζ22−i−i−i−ζ14−ζ22−ζ14−ζ22ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ23−ζ7−ζ23−ζ7−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ23ζ7ζ23ζ7ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5ζ13ζ5ζ13
χ31111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32iiiζ22ζ14ζ22ζ14−i−i−i−ζ22−ζ14−ζ22−ζ14ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7ζ23ζ7ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ13−ζ5−ζ13−ζ5−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ13ζ5ζ13ζ5
χ3211-111-1-1-1-11-1-11111-111-1-1-1-11-1-111ii−iii−i−i−i−ii−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ3311-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32ii−iζ14ζ22−ζ14−ζ22−i−ii−ζ14−ζ22ζ14ζ22ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ23−ζ7ζ23ζ7−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ23ζ7−ζ23−ζ7ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5ζ13−ζ5−ζ13
χ3411-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32ii−iζ22ζ14−ζ22−ζ14−i−ii−ζ22−ζ14ζ22ζ14ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ13−ζ5ζ13ζ5−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ13ζ5−ζ13−ζ5
χ356-100000-61000006-100000-61000006i−i00000−6ii000006ζ7+6ζ23−ζ7−ζ2300000−6ζ7−6ζ23ζ7+ζ23000006ζ5+6ζ13−ζ5−ζ1300000−6ζ5−6ζ13ζ5+ζ1300000
χ361111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1iiiiiii−i−i−i−i−i−i−i−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13
χ37111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32iiiζ14ζ22ζ14ζ22−i−i−i−ζ14−ζ22−ζ14−ζ22−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ23ζ7ζ23ζ7ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ23−ζ7−ζ23−ζ7−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5ζ13ζ5ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ38111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32iiiζ22ζ14ζ22ζ14−i−i−i−ζ22−ζ14−ζ22−ζ14−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7ζ23ζ7ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ13ζ5ζ13ζ5ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ13−ζ5−ζ13−ζ5
χ3911-111-1-1-1-11-1-11111-111-1-1-1-11-1-111ii−iii−i−i−i−ii−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ4011-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32ii−iζ14ζ22−ζ14−ζ22−i−ii−ζ14−ζ22ζ14ζ22−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ23ζ7−ζ23−ζ7ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ23−ζ7ζ23ζ7−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5ζ13
χ4111-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32ii−iζ22ζ14−ζ22−ζ14−i−ii−ζ22−ζ14ζ22ζ14−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ13ζ5−ζ13−ζ5ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ13−ζ5ζ13ζ5
χ426-100000-61000006-100000-61000006i−i00000−6ii00000−6ζ7−6ζ23ζ7+ζ23000006ζ7+6ζ23−ζ7−ζ2300000−6ζ5−6ζ13ζ5+ζ13000006ζ5+6ζ13−ζ5−ζ1300000
χ431111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1−i−i−i−i−i−i−iiiiiiiiζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23
χ44111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32−i−i−i−ζ14−ζ22−ζ14−ζ22iiiζ14ζ22ζ14ζ22ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5ζ13ζ5ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ23−ζ7−ζ23−ζ7−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ23ζ7ζ23ζ7
χ45111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32−i−i−i−ζ22−ζ14−ζ22−ζ14iiiζ22ζ14ζ22ζ14ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ13−ζ5−ζ13−ζ5−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ13ζ5ζ13ζ5ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7ζ23ζ7ζ23
χ4611-111-1-1-1-11-1-11111-111-1-1-1-11-1-111−i−ii−i−iiiii−iii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ4711-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32−i−ii−ζ14−ζ22ζ14ζ22ii−iζ14ζ22−ζ14−ζ22ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ23−ζ7ζ23ζ7−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ23ζ7−ζ23−ζ7
χ4811-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32−i−ii−ζ22−ζ14ζ22ζ14ii−iζ22ζ14−ζ22−ζ14ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ13−ζ5ζ13ζ5−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ13ζ5−ζ13−ζ5ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7ζ23−ζ7−ζ23
χ496-100000-61000006-100000-6100000−6ii000006i−i000006ζ5+6ζ13−ζ5−ζ1300000−6ζ5−6ζ13ζ5+ζ13000006ζ7+6ζ23−ζ7−ζ2300000−6ζ7−6ζ23ζ7+ζ2300000
χ501111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1−i−i−i−i−i−i−iiiiiiii−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23
χ51111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32−i−i−i−ζ14−ζ22−ζ14−ζ22iiiζ14ζ22ζ14ζ22−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5ζ13ζ5ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ23ζ7ζ23ζ7ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ23−ζ7−ζ23−ζ7
χ52111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32−i−i−i−ζ22−ζ14−ζ22−ζ14iiiζ22ζ14ζ22ζ14−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ13ζ5ζ13ζ5ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ13−ζ5−ζ13−ζ5−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7ζ23ζ7ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ5311-111-1-1-1-11-1-11111-111-1-1-1-11-1-111−i−ii−i−iiiii−iii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ5411-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32−i−ii−ζ14−ζ22ζ14ζ22ii−iζ14ζ22−ζ14−ζ22−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ23ζ7−ζ23−ζ7ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ23−ζ7ζ23ζ7
χ5511-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32−i−ii−ζ22−ζ14ζ22ζ14ii−iζ22ζ14−ζ22−ζ14−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ13ζ5−ζ13−ζ5ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ13−ζ5ζ13ζ5−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7ζ23
χ566-100000-61000006-100000-6100000−6ii000006i−i00000−6ζ5−6ζ13ζ5+ζ13000006ζ5+6ζ13−ζ5−ζ1300000−6ζ7−6ζ23ζ7+ζ23000006ζ7+6ζ23−ζ7−ζ2300000
χ5744444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ58444−2+2i3−2−2i3−2+2i3−2−2i3444−2+2i3−2−2i3−2+2i3−2−2i3-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32000000000000000000000000000000000000000000
χ59444−2−2i3−2+2i3−2−2i3−2+2i3444−2−2i3−2+2i3−2−2i3−2+2i3-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32000000000000000000000000000000000000000000
χ6044-444-4-444-444-4-4-1-11-1-111-1-11-1-111000000000000000000000000000000000000000000
χ6144-4−2+2i3−2−2i32−2i32+2i344-4−2+2i3−2−2i32−2i32+2i3-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32000000000000000000000000000000000000000000
χ6244-4−2−2i3−2+2i32+2i32−2i344-4−2−2i3−2+2i32+2i32−2i3-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32000000000000000000000000000000000000000000
χ6324-40000024-400000-6100000-6100000000000000000000000000000000000000000000000
χ644444444-4-4-4-4-4-4-4-1-1-1-1-1-1-11111111000000000000000000000000000000000000000000
χ65444−2+2i3−2−2i3−2+2i3−2−2i3-4-4-42−2i32+2i32−2i32+2i3-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32000000000000000000000000000000000000000000
χ66444−2−2i3−2+2i3−2−2i3−2+2i3-4-4-42+2i32−2i32+2i32−2i3-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32000000000000000000000000000000000000000000
χ6744-444-4-4-4-44-4-444-1-11-1-11111-111-1-1000000000000000000000000000000000000000000
χ6844-4−2+2i3−2−2i32−2i32+2i3-4-442−2i32+2i3−2+2i3−2−2i3-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32000000000000000000000000000000000000000000
χ6944-4−2−2i3−2+2i32+2i32−2i3-4-442+2i32−2i3−2−2i3−2+2i3-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32000000000000000000000000000000000000000000
χ7024-400000-24400000-61000006-100000000000000000000000000000000000000000000000

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