Finite Group Databasebeta

← Group #13146821

Character table — Group #13146821

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222333333336666666666666666121212121212121212121212242424242424242424242424242424242424242424242424363636363636363636363636363636363636363636363636
order1222344666121212123366666644441212121212121212121212121212121212121212121212123336666666661212121212121212121212124444888812121212121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−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+i32−1+i32−1+i32−1+i32
χ411111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ511111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+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−i32−1−i32−1−i32−1−i32
χ611111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ711111-1-1111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1
χ811111-1-1111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111
χ911111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ1011111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-111-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ1111111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ1211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-111-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ131-1-111i−i-11-1ii−i−i11-1-1-1-111i−i1-1i−ii−ii−ii−i1-11-11-1i−ii−ii−i1-11-11111-11-11-1-1-1-1ii−i−iii−i−iii−i−ii−i1-1i−i1-1i−ii−i1-11-1i−i1-1i−i1-1
χ141-1-111i−i-11-1ii−i−i11-1-1-1-111i−i1-1i−ii−ii−ii−i1-11-11-1i−ii−ii−i1-11-11111-11-11-1-1-1-1ii−i−iii−i−iii−i−i−ii-11−ii-11−ii−ii-11-11−ii-11−ii-11
χ151-1-111i−i-11-1ii−i−i−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32i−i1-1ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ7−ζ7−1−i321+i32−1+i321−i321-1i−iζ11−ζ11ζ7−ζ7−1−i321+i32−1+i321−i321−1−i32−1+i321-1−1−i321+i32−1+i321−i32-11+i321−i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7i−i1-1i−i1-1ζ11−ζ11ζ7−ζ7−1−i321+i32−1+i321−i32ζ11−ζ11−1−i321+i32ζ7−ζ7−1+i321−i32
χ161-1-111i−i-11-1ii−i−i−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32i−i1-1ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ7−ζ7−1−i321+i32−1+i321−i321-1i−iζ11−ζ11ζ7−ζ7−1−i321+i32−1+i321−i321−1−i32−1+i321-1−1−i321+i32−1+i321−i32-11+i321−i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7−ii-11−ii-11−ζ11ζ11−ζ7ζ71+i32−1−i321−i32−1+i32−ζ11ζ111+i32−1−i32−ζ7ζ71−i32−1+i32
χ171-1-111i−i-11-1ii−i−i−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32i−i1-1ζ7−ζ7ζ11−ζ11ζ7−ζ7ζ11−ζ11−1+i321−i32−1−i321+i321-1i−iζ7−ζ7ζ11−ζ11−1+i321−i32−1−i321+i321−1+i32−1−i321-1−1+i321−i32−1−i321+i32-11−i321+i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11i−i1-1i−i1-1ζ7−ζ7ζ11−ζ11−1+i321−i32−1−i321+i32ζ7−ζ7−1+i321−i32ζ11−ζ11−1−i321+i32
χ181-1-111i−i-11-1ii−i−i−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32i−i1-1ζ7−ζ7ζ11−ζ11ζ7−ζ7ζ11−ζ11−1+i321−i32−1−i321+i321-1i−iζ7−ζ7ζ11−ζ11−1+i321−i32−1−i321+i321−1+i32−1−i321-1−1+i321−i32−1−i321+i32-11−i321+i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11−ii-11−ii-11−ζ7ζ7−ζ11ζ111−i32−1+i321+i32−1−i32−ζ7ζ71−i32−1+i32−ζ11ζ111+i32−1−i32
χ191-1-111−ii-11-1−i−iii11-1-1-1-111−ii1-1−ii−ii−ii−ii1-11-11-1−ii−ii−ii1-11-11111-11-11-1-1-1-1−i−iii−i−iii−i−iiii−i-11i−i-11i−ii−i-11-11i−i-11i−i-11
χ201-1-111−ii-11-1−i−iii11-1-1-1-111−ii1-1−ii−ii−ii−ii1-11-11-1−ii−ii−ii1-11-11111-11-11-1-1-1-1−i−iii−i−iii−i−iii−ii1-1−ii1-1−ii−ii1-11-1−ii1-1−ii1-1
χ211-1-111−ii-11-1−i−iii−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−ii1-1−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ7ζ7−1−i321+i32−1+i321−i321-1−ii−ζ11ζ11−ζ7ζ7−1−i321+i32−1+i321−i321−1−i32−1+i321-1−1−i321+i32−1+i321−i32-11+i321−i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7i−i-11i−i-11ζ11−ζ11ζ7−ζ71+i32−1−i321−i32−1+i32ζ11−ζ111+i32−1−i32ζ7−ζ71−i32−1+i32
χ221-1-111−ii-11-1−i−iii−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−ii1-1−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ7ζ7−1−i321+i32−1+i321−i321-1−ii−ζ11ζ11−ζ7ζ7−1−i321+i32−1+i321−i321−1−i32−1+i321-1−1−i321+i32−1+i321−i32-11+i321−i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ii1-1−ii1-1−ζ11ζ11−ζ7ζ7−1−i321+i32−1+i321−i32−ζ11ζ11−1−i321+i32−ζ7ζ7−1+i321−i32
χ231-1-111−ii-11-1−i−iii−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−ii1-1−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ11−1+i321−i32−1−i321+i321-1−ii−ζ7ζ7−ζ11ζ11−1+i321−i32−1−i321+i321−1+i32−1−i321-1−1+i321−i32−1−i321+i32-11−i321+i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11i−i-11i−i-11ζ7−ζ7ζ11−ζ111−i32−1+i321+i32−1−i32ζ7−ζ71−i32−1+i32ζ11−ζ111+i32−1−i32
χ241-1-111−ii-11-1−i−iii−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−ii1-1−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ11−1+i321−i32−1−i321+i321-1−ii−ζ7ζ7−ζ11ζ11−1+i321−i32−1−i321+i321−1+i32−1−i321-1−1+i321−i32−1−i321+i32-11−i321+i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ii1-1−ii1-1−ζ7ζ7−ζ11ζ11−1+i321−i32−1−i321+i32−ζ7ζ7−1+i321−i32−ζ11ζ11−1−i321+i32
χ2522222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ2622222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i32222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000000000
χ2722222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i32222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000000000
χ2822222-2-2222-2-2-2-222222222-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000
χ2922222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2221+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i322-2-21+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000
χ3022222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-2221−i31−i31+i31+i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i322-2-21−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000
χ312-2-2222i−2i-22-22i2i−2i−2i22-2-2-2-2222i−2i2-22i−2i2i−2i2i−2i2i−2i2-22-22-22i−2i2i−2i2i−2i2-22-2-1-1-1-11-11-11111−i−iii−i−iii−i−iii000000000000000000000000
χ322-2-2222i−2i-22-22i2i−2i−2i−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i32i−2i2-22ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ7−1−i31+i3−1+i31−i32-22i−2i2ζ11−2ζ112ζ7−2ζ7−1−i31+i3−1+i31−i3-11+i321−i32-111+i32−1−i321−i32−1+i321−1−i32−1+i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7000000000000000000000000
χ332-2-2222i−2i-22-22i2i−2i−2i−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i32i−2i2-22ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ11−1+i31−i3−1−i31+i32-22i−2i2ζ7−2ζ72ζ11−2ζ11−1+i31−i3−1−i31+i3-11−i321+i32-111−i32−1+i321+i32−1−i321−1+i32−1−i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11000000000000000000000000
χ342-2-222−2i2i-22-2−2i−2i2i2i22-2-2-2-222−2i2i2-2−2i2i−2i2i−2i2i−2i2i2-22-22-2−2i2i−2i2i−2i2i2-22-2-1-1-1-11-11-11111ii−i−iii−i−iii−i−i000000000000000000000000
χ352-2-222−2i2i-22-2−2i−2i2i2i−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i3−2i2i2-2−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−1−i31+i3−1+i31−i32-2−2i2i−2ζ112ζ11−2ζ72ζ7−1−i31+i3−1+i31−i3-11+i321−i32-111+i32−1−i321−i32−1+i321−1−i32−1+i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7000000000000000000000000
χ362-2-222−2i2i-22-2−2i−2i2i2i−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i3−2i2i2-2−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−1+i31−i3−1−i31+i32-2−2i2i−2ζ72ζ7−2ζ112ζ11−1+i31−i3−1−i31+i3-11−i321+i32-111−i32−1+i321+i32−1−i321−1+i32−1−i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11000000000000000000000000
χ373333333333333333333333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000001111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ383333333333333333333333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ3933333333333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321+i321−i321−i32−3−3i32−3−3i32−3+3i32−3+3i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i320000000000000000000000001111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ4033333333333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321+i321−i321−i32−3−3i32−3−3i32−3+3i32−3+3i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32000000000000000000000000-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ4133333333333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321−i321+i321+i32−3+3i32−3+3i32−3−3i32−3−3i321−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i320000000000000000000000001111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ4233333333333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321−i321+i321+i32−3+3i32−3+3i32−3−3i32−3−3i321−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32000000000000000000000000-1-1-1-111111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ4333333-3-3333-3-3-3-33333333311-1-11111-3-3-3-3-1-1-1-1-1-1111111-1-1-1-100000000000000000000000011-1-1-1-1111111-1-1-1-1-1-111-1-111
χ4433333-3-3333-3-3-3-33333333311-1-11111-3-3-3-3-1-1-1-1-1-1111111-1-1-1-1000000000000000000000000-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ4533333-3-3333-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3211-1-1−1−i32−1−i32−1+i32−1+i323+3i323+3i323−3i323−3i321+i321+i321−i321−i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3200000000000000000000000011-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ4633333-3-3333-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3211-1-1−1−i32−1−i32−1+i32−1+i323+3i323+3i323−3i323−3i321+i321+i321−i321−i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32000000000000000000000000-1-11111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ4733333-3-3333-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3211-1-1−1+i32−1+i32−1−i32−1−i323−3i323−3i323+3i323+3i321−i321−i321+i321+i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3200000000000000000000000011-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ4833333-3-3333-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3211-1-1−1+i32−1+i32−1−i32−1−i323−3i323−3i323+3i323+3i321−i321−i321+i321+i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32000000000000000000000000-1-11111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ493-3-3333i−3i-33-33i3i−3i−3i33-3-3-3-333−ii-11−ii−ii3i−3i3i−3i-11-11-11−ii−ii−ii-11-11000000000000000000000000i−i1-1−ii-11i−ii−i1-11-1−ii-11−ii-11
χ503-3-3333i−3i-33-33i3i−3i−3i33-3-3-3-333−ii-11−ii−ii3i−3i3i−3i-11-11-11−ii−ii−ii-11-11000000000000000000000000−ii-11i−i1-1−ii−ii-11-11i−i1-1i−i1-1
χ513-3-3333i−3i-33-33i3i−3i−3i−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−ii-11−ζ11ζ11−ζ7ζ73ζ11−3ζ113ζ7−3ζ71+i32−1−i321−i32−1+i32-11−ii−ζ11ζ11−ζ7ζ71+i32−1−i321−i32−1+i32000000000000000000000000i−i1-1−ii-11ζ11−ζ11ζ7−ζ7−1−i321+i32−1+i321−i32−ζ11ζ111+i32−1−i32−ζ7ζ71−i32−1+i32
χ523-3-3333i−3i-33-33i3i−3i−3i−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−ii-11−ζ11ζ11−ζ7ζ73ζ11−3ζ113ζ7−3ζ71+i32−1−i321−i32−1+i32-11−ii−ζ11ζ11−ζ7ζ71+i32−1−i321−i32−1+i32000000000000000000000000−ii-11i−i1-1−ζ11ζ11−ζ7ζ71+i32−1−i321−i32−1+i32ζ11−ζ11−1−i321+i32ζ7−ζ7−1+i321−i32
χ533-3-3333i−3i-33-33i3i−3i−3i−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−ii-11−ζ7ζ7−ζ11ζ113ζ7−3ζ73ζ11−3ζ111−i32−1+i321+i32−1−i32-11−ii−ζ7ζ7−ζ11ζ111−i32−1+i321+i32−1−i32000000000000000000000000i−i1-1−ii-11ζ7−ζ7ζ11−ζ11−1+i321−i32−1−i321+i32−ζ7ζ71−i32−1+i32−ζ11ζ111+i32−1−i32
χ543-3-3333i−3i-33-33i3i−3i−3i−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−ii-11−ζ7ζ7−ζ11ζ113ζ7−3ζ73ζ11−3ζ111−i32−1+i321+i32−1−i32-11−ii−ζ7ζ7−ζ11ζ111−i32−1+i321+i32−1−i32000000000000000000000000−ii-11i−i1-1−ζ7ζ7−ζ11ζ111−i32−1+i321+i32−1−i32ζ7−ζ7−1+i321−i32ζ11−ζ11−1−i321+i32
χ553-3-333−3i3i-33-3−3i−3i3i3i33-3-3-3-333i−i-11i−ii−i−3i3i−3i3i-11-11-11i−ii−ii−i-11-11000000000000000000000000i−i-11−ii1-1i−ii−i-11-11−ii1-1−ii1-1
χ563-3-333−3i3i-33-3−3i−3i3i3i33-3-3-3-333i−i-11i−ii−i−3i3i−3i3i-11-11-11i−ii−ii−i-11-11000000000000000000000000−ii1-1i−i-11−ii−ii1-11-1i−i-11i−i-11
χ573-3-333−3i3i-33-3−3i−3i3i3i−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32i−i-11ζ11−ζ11ζ7−ζ7−3ζ113ζ11−3ζ73ζ71+i32−1−i321−i32−1+i32-11i−iζ11−ζ11ζ7−ζ71+i32−1−i321−i32−1+i32000000000000000000000000i−i-11−ii1-1ζ11−ζ11ζ7−ζ71+i32−1−i321−i32−1+i32−ζ11ζ11−1−i321+i32−ζ7ζ7−1+i321−i32
χ583-3-333−3i3i-33-3−3i−3i3i3i−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32i−i-11ζ11−ζ11ζ7−ζ7−3ζ113ζ11−3ζ73ζ71+i32−1−i321−i32−1+i32-11i−iζ11−ζ11ζ7−ζ71+i32−1−i321−i32−1+i32000000000000000000000000−ii1-1i−i-11−ζ11ζ11−ζ7ζ7−1−i321+i32−1+i321−i32ζ11−ζ111+i32−1−i32ζ7−ζ71−i32−1+i32
χ593-3-333−3i3i-33-3−3i−3i3i3i−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32i−i-11ζ7−ζ7ζ11−ζ11−3ζ73ζ7−3ζ113ζ111−i32−1+i321+i32−1−i32-11i−iζ7−ζ7ζ11−ζ111−i32−1+i321+i32−1−i32000000000000000000000000i−i-11−ii1-1ζ7−ζ7ζ11−ζ111−i32−1+i321+i32−1−i32−ζ7ζ7−1+i321−i32−ζ11ζ11−1−i321+i32
χ603-3-333−3i3i-33-3−3i−3i3i3i−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32i−i-11ζ7−ζ7ζ11−ζ11−3ζ73ζ7−3ζ113ζ111−i32−1+i321+i32−1−i32-11i−iζ7−ζ7ζ11−ζ111−i32−1+i321+i32−1−i32000000000000000000000000−ii1-1i−i-11−ζ7ζ7−ζ11ζ11−1+i321−i32−1−i321+i32ζ7−ζ71−i32−1+i32ζ11−ζ111+i32−1−i32
χ6144-4-4400-4-4400004444-4-4-4-40000000000000000000000000000111-11-11-11-1-1-13−33−33−33−33−33−3000000000000000000000000
χ6244-4-4400-4-4400004444-4-4-4-40000000000000000000000000000111-11-11-11-1-1-1−33−33−33−33−33−33000000000000000000000000
χ6344-4-4400-4-4400004444-4-4-4-40000000000000000000000000000-2-2-22-22-22-2222000000000000000000000000000000000000
χ6444-4-4400-4-440000−2−2i3−2+2i3−2−2i3−2+2i32+2i32−2i32+2i32−2i300000000000000000000000000001−1−i32−1+i32-111+i32−1−i321−i32−1+i32-11+i321−i323−33−32ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000
χ6544-4-4400-4-440000−2−2i3−2+2i3−2−2i3−2+2i32+2i32−2i32+2i32−2i300000000000000000000000000001−1−i32−1+i32-111+i32−1−i321−i32−1+i32-11+i321−i32−33−33−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000
χ6644-4-4400-4-440000−2−2i3−2+2i3−2−2i3−2+2i32+2i32−2i32+2i32−2i30000000000000000000000000000-21+i31−i32-2−1−i31+i3−1+i31−i32−1−i3−1+i3000000000000000000000000000000000000
χ6744-4-4400-4-440000−2+2i3−2−2i3−2+2i3−2−2i32−2i32+2i32−2i32+2i300000000000000000000000000001−1+i32−1−i32-111−i32−1+i321+i32−1−i32-11−i321+i323−33−3−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000
χ6844-4-4400-4-440000−2+2i3−2−2i3−2+2i3−2−2i32−2i32+2i32−2i32+2i300000000000000000000000000001−1+i32−1−i32-111−i32−1+i321+i32−1−i32-11−i321+i32−33−33ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000
χ6944-4-4400-4-440000−2+2i3−2−2i3−2+2i3−2−2i32−2i32+2i32−2i32+2i30000000000000000000000000000-21−i31+i32-2−1+i31−i3−1−i31+i32−1+i3−1−i3000000000000000000000000000000000000
χ704-44-44004-4-4000044-4-444-4-40000000000000000000000000000111-1-1-1-1-1-1111−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ714-44-44004-4-4000044-4-444-4-40000000000000000000000000000111-1-1-1-1-1-1111i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ724-44-44004-4-4000044-4-444-4-40000000000000000000000000000-2-2-2222222-2-2-2000000000000000000000000000000000000
χ734-44-44004-4-40000−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i32+2i32−2i300000000000000000000000000001−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32−i3i3i3−i3−3+i323−i323−i32−3+i323+i32−3−i32−3−i323+i32000000000000000000000000
χ744-44-44004-4-40000−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i32+2i32−2i300000000000000000000000000001−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32i3−i3−i3i33−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i32000000000000000000000000
χ754-44-44004-4-40000−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i32+2i32−2i30000000000000000000000000000-21+i31−i322−1−i3−1−i3−1+i3−1+i3-21+i31−i3000000000000000000000000000000000000
χ764-44-44004-4-40000−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i300000000000000000000000000001−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32−i3i3i3−i33+i32−3−i32−3−i323+i32−3+i323−i323−i32−3+i32000000000000000000000000
χ774-44-44004-4-40000−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i300000000000000000000000000001−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32i3−i3−i3i3−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i32000000000000000000000000
χ784-44-44004-4-40000−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i30000000000000000000000000000-21−i31+i322−1+i3−1+i3−1−i3−1−i3-21−i31+i3000000000000000000000000000000000000
χ796666-366-3-3-3-3-3-3-3000000006666000000000000-3-3-3-300000000000000000000000000000000000000000000000000000000
χ806666-366-3-3-3-3-3-3-300000000-2-2-2-24444000044441111-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ816666-366-3-3-3-3-3-3-300000000-2-2-2-2−2−2i3−2−2i3−2+2i3−2+2i30000−2−2i3−2−2i3−2+2i3−2+2i311111+i31+i31−i31−i31+i31+i31−i31−i3000000000000000000000000000000000000000000000000
χ826666-366-3-3-3-3-3-3-300000000-2-2-2-2−2+2i3−2+2i3−2−2i3−2−2i30000−2+2i3−2+2i3−2−2i3−2−2i311111−i31−i31+i31+i31−i31−i31+i31+i3000000000000000000000000000000000000000000000000
χ836666-3-6-6-3-3-333330000000022-2-2-4-4-4-40000444411-1-12222-2-2-2-2000000000000000000000000000000000000000000000000
χ846666-3-6-6-3-3-333330000000022-2-22+2i32+2i32−2i32−2i30000−2−2i3−2−2i3−2+2i3−2+2i311-1-1−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3000000000000000000000000000000000000000000000000
χ856666-3-6-6-3-3-333330000000022-2-22−2i32−2i32+2i32+2i30000−2+2i3−2+2i3−2−2i3−2−2i311-1-1−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3000000000000000000000000000000000000000000000000
χ866666-3-6-6-3-3-3333300000000-6-666000000000000-3-33300000000000000000000000000000000000000000000000000000000
χ876-6-66-36i−6i3-33−3i−3i3i3i000000006i−6i6-6000000000000-33−3i3i00000000000000000000000000000000000000000000000000000000
χ886-6-66-36i−6i3-33−3i−3i3i3i00000000−2i2i-224ζ7−4ζ74ζ11−4ζ110000−2+2i32−2i3−2−2i32+2i31-1i−i−2ζ72ζ7−2ζ112ζ111−i3−1+i31+i3−1−i3000000000000000000000000000000000000000000000000
χ896-6-66-36i−6i3-33−3i−3i3i3i00000000−2i2i-224i−4i4i−4i00004-44-41-1i−i−2i2i−2i2i-22-22000000000000000000000000000000000000000000000000
χ906-6-66-36i−6i3-33−3i−3i3i3i00000000−2i2i-224ζ11−4ζ114ζ7−4ζ70000−2−2i32+2i3−2+2i32−2i31-1i−i−2ζ112ζ11−2ζ72ζ71+i3−1−i31−i3−1+i3000000000000000000000000000000000000000000000000
χ916-6-66-3−6i6i3-333i3i−3i−3i000000002i−2i-22−4ζ74ζ7−4ζ114ζ110000−2+2i32−2i3−2−2i32+2i31-1−ii2ζ7−2ζ72ζ11−2ζ111−i3−1+i31+i3−1−i3000000000000000000000000000000000000000000000000
χ926-6-66-3−6i6i3-333i3i−3i−3i000000002i−2i-22−4i4i−4i4i00004-44-41-1−ii2i−2i2i−2i-22-22000000000000000000000000000000000000000000000000
χ936-6-66-3−6i6i3-333i3i−3i−3i000000002i−2i-22−4ζ114ζ11−4ζ74ζ70000−2−2i32+2i3−2+2i32−2i31-1−ii2ζ11−2ζ112ζ7−2ζ71+i3−1−i31−i3−1+i3000000000000000000000000000000000000000000000000
χ946-6-66-3−6i6i3-333i3i−3i−3i00000000−6i6i6-6000000000000-333i−3i00000000000000000000000000000000000000000000000000000000
χ951212-12-12-60066-663−6363−63000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ961212-12-12-60066-6−6363−6363000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-1212-12-600-666−6i36i36i3−6i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-1212-12-600-6666i3−6i3−6i36i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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