Finite Group Databasebeta

← Group #13051753

Character table — Group #13051753

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112244446666777777778121212121212141414141414141414142424242428282828282828282828282828282828282828282828285656565656
order122244448871414143366666642828565656564412121212121212122828282844488121212121212121212122424242424242424412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111-1-1
χ311111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111−1−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+i321−1−i32−1+i32−1−i32−1+i32
χ411111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321111-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1−1−i32−1+i321+i321−i32
χ511111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111−1+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−i321−1+i32−1−i32−1+i32−1−i32
χ611111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321111-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1−1+i32−1−i321−i321+i32
χ711111111-1-1111111111111-111-1-1-1-1111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ811111111-1-1111111111111-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-111
χ911111111-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-111-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-11+i321−i321+i321−i32
χ1011111111-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-111-1-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i3211-1-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211+i321−i32−1−i32−1+i32
χ1111111111-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-111-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1111-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-11−i321+i321−i321+i32
χ1211111111-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-111-1-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i3211-1-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211−i321+i32−1+i32−1−i32
χ13111111-1-111111111111111-11111111111111111-1-1-1-11-1-111-1-1-1-11-1-11-1-111111111-1-1-1-1-1
χ14111111-1-111111111111111-1111111-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-111-1111111-1-1-1-11-1-111
χ15111111-1-1111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11-1-1111+i321+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i321−i32
χ16111111-1-1111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1111111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-1-1-1-1-111-1-11+i321+i321−i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211+i321−i32−1−i32−1+i32
χ17111111-1-1111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11-1-1111−i321−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i321+i32
χ18111111-1-1111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1111111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-1-1-1-1-111-1-11−i321−i321+i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211−i321+i32−1+i32−1−i32
χ19111111-1-1-1-1111111111111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111111
χ20111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-111-1-111-11111-1-1-1-1-111-111-1-1-1-11111-111-1-1
χ21111111-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1111-1-1-1-11+i321+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i32−1−i32−1+i32
χ22111111-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111-1-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-1-111-111111+i321+i321−i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1−1−i32−1+i321+i321−i32
χ23111111-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1111-1-1-1-11−i321−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i32−1+i32−1−i32
χ24111111-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111-1-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-1-111-111111−i321−i321+i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1−1+i32−1−i321−i321+i32
χ252222-2-200002222222222220-2-2000022-2-22222-2-20000-200000000-200-2000000000000000
χ262222-2-200002222222222220-2-20000-2-2-2-2-2-2-2-2-2-200002000000002002000000000000000
χ272222-2-200002222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i30-2-20000221+i31−i3−1−i3−1−i3−1+i3−1+i31+i31−i30000-2000000001+i3001−i3000000000000000
χ282222-2-200002222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i30-2-20000-2-21+i31−i31+i31+i31−i31−i31+i31−i30000200000000−1−i300−1+i3000000000000000
χ292222-2-200002222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i30-2-20000221−i31+i3−1+i3−1+i3−1−i3−1−i31−i31+i30000-2000000001−i3001+i3000000000000000
χ302222-2-200002222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i30-2-20000-2-21−i31+i31−i31−i31+i31+i31−i31+i30000200000000−1+i300−1−i3000000000000000
χ312-22-22-2000022-2-2222-22-2-2-202-2000000220000-2-2000002-200000002-202-20000000000000
χ322-22-22-2000022-2-2222-22-2-2-202-2000000220000-2-200000-220000000-220-220000000000000
χ332-22-22-2000022-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i302-2000000−1−i3−1+i300001+i31−i3000002-20000000−1−i31+i30−1+i31−i30000000000000
χ342-22-22-2000022-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i302-2000000−1−i3−1+i300001+i31−i300000-2200000001+i3−1−i301−i3−1+i30000000000000
χ352-22-22-2000022-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i302-2000000−1+i3−1−i300001−i31+i3000002-20000000−1+i31−i30−1−i31+i30000000000000
χ362-22-22-2000022-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i302-2000000−1+i3−1−i300001−i31+i300000-2200000001−i3−1+i301+i3−1−i30000000000000
χ372-22-2-222i−2i0022-2-2222-22-2-2-20-22000000-2-20000222i−2i00000002i−2i2i−2i0000000000000000000
χ382-22-2-222i−2i0022-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i30-220000001+i31−i30000−1−i3−1+i32i−2i00000002ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1580000000000000000000
χ392-22-2-222i−2i0022-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i30-220000001−i31+i30000−1+i3−1−i32i−2i00000002ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1660000000000000000000
χ402-22-2-22−2i2i0022-2-2222-22-2-2-20-22000000-2-2000022−2i2i0000000−2i2i−2i2i0000000000000000000
χ412-22-2-22−2i2i0022-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i30-220000001+i31−i30000−1−i3−1+i3−2i2i0000000−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ1580000000000000000000
χ422-22-2-22−2i2i0022-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i30-220000001−i31+i30000−1+i3−1−i3−2i2i0000000−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ1660000000000000000000
χ432-2-220000−i2i22-22-222-2-2-2-222000−i2−i2i2i22-2002-22-2000000000−i2i20000000000−i2i2−i2i2−i2i2−i2i200000
χ442-2-220000−i2i22-22-222-2-2-2-222000−i2−i2i2i2-2200-22-22000000000i2−i20000000000−i2i2−i2i2i2−i2i2−i200000
χ452-2-220000−i2i22-22-2−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3000−i2−i2i2i22-200−1−i31+i3−1+i31−i3000000000−i2i20000000000ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ16700000
χ462-2-220000−i2i22-22-2−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3000−i2−i2i2i2-22001+i3−1−i31−i3−1+i3000000000i2−i20000000000ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ16700000
χ472-2-220000−i2i22-22-2−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3000−i2−i2i2i22-200−1+i31−i3−1−i31+i3000000000−i2i20000000000ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ15700000
χ482-2-220000−i2i22-22-2−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3000−i2−i2i2i2-22001−i3−1+i31+i3−1−i3000000000i2−i20000000000ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ15700000
χ492-2-220000i2−i22-22-222-2-2-2-222000i2i2−i2−i22-2002-22-2000000000i2−i20000000000i2−i2i2−i2i2−i2i2−i200000
χ502-2-220000i2−i22-22-222-2-2-2-222000i2i2−i2−i2-2200-22-22000000000−i2i20000000000i2−i2i2−i2−i2i2−i2i200000
χ512-2-220000i2−i22-22-2−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3000i2i2−i2−i22-200−1−i31+i3−1+i31−i3000000000i2−i20000000000−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ16700000
χ522-2-220000i2−i22-22-2−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3000i2i2−i2−i2-22001+i3−1−i31−i3−1+i3000000000−i2i20000000000−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ16700000
χ532-2-220000i2−i22-22-2−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3000i2i2−i2−i22-200−1+i31−i3−1−i31+i3000000000i2−i20000000000−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ15700000
χ542-2-220000i2−i22-22-2−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3000i2i2−i2−i2-22001−i3−1+i31+i3−1−i3000000000−i2i20000000000−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ15700000
χ5544-4-40000004-4-4444-44-44-4-40000000000000000000000000000000000000000000000000
χ5644-4-40000004-4-44−2−2i3−2+2i32+2i3−2−2i32−2i3−2+2i32+2i32−2i30000000000000000000000000000000000000000000000000
χ5744-4-40000004-4-44−2+2i3−2−2i32−2i3−2+2i32+2i3−2−2i32−2i32+2i30000000000000000000000000000000000000000000000000
χ586666666666-1-1-1-1000000006-1-1-1-1-1-10000000000-1-1-1-10000000000000000000000000000
χ5966666666-6-6-1-1-1-100000000-6-1-111110000000000-1-1110000000000000000000000000000
χ60666666-6-666-1-1-1-100000000-6-1-1-1-1-1-1000000000011110000000000000000000000000000
χ61666666-6-6-6-6-1-1-1-1000000006-1-11111000000000011-1-10000000000000000000000000000
χ626-66-6-666i−6i00-1-1110000000001-1−i7i7−i7i70000000000−ii7−70000000000000000000000000000
χ636-66-6-666i−6i00-1-1110000000001-1i7−i7i7−i70000000000−ii−770000000000000000000000000000
χ646-66-6-66−6i6i00-1-1110000000001-1−i7i7−i7i70000000000i−i−770000000000000000000000000000
χ656-66-6-66−6i6i00-1-1110000000001-1i7−i7i7−i70000000000i−i7−70000000000000000000000000000
χ6612121212-12-120000-2-2-2-2000000000220000000000000000000000000000000000000000000000
χ671212-12-12000000-222-20000000000014−14−1414000000000000000000000000000000000000000000
χ681212-12-12000000-222-200000000000−141414−14000000000000000000000000000000000000000000
χ6912-1212-1212-120000-2-222000000000-220000000000000000000000000000000000000000000000
χ7012-12-12120000−6i26i2-22-2200000000000i2i2−i2−i2000000000000000000000000000000000000000000
χ7112-12-121200006i2−6i2-22-2200000000000−i2−i2i2i2000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 168 (ζ168 = 1); i = ζ42.