Finite Group Databasebeta

← Group #13052076

Character table — Group #13052076

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112244446666777777778121212121212141414141414141414142424242428282828282828282828282828282828282828282828285656565656
order1222444488714141433666666228285656565644121212121212121214142828222666666881212121224242424242424244661212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1
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+i321111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−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+i321111111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111-1-1-11+i321+i321+i321−i321−i321−i32-1-1−1−i32−1−i32−1+i32−1+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−i321111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+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−i321111111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111-1-1-11−i321−i321−i321+i321+i321+i32-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1−1+i32−1−i321−i321+i32
χ711111111-1-1111111111111-111-1-1-1-11111111111-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ811111111-1-1111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-111
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+i32-1-111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1−1−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+i32-111-1-1-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+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−i32-1-111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1−1+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−i32-111-1-1-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211−i321+i32−1+i32−1−i32
χ13111111-1-111111111111111-11111111111111111-1-1-1-11-1-11-1-11-1-111-1-1-1-111111111-1-1-1-1-1
χ14111111-1-111111111111111-1111111-1-1-1-1-1-11111-1-1-1-1-111-111-111-1-1-1-1-1-11111-1-1-1-11-1-111
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+i32-1-1-1-11-1-1−1−i321+i321+i32−1+i321−i321−i32111+i321+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+i32-1111111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1111+i32−1−i32−1−i321−i32−1+i32−1+i32-1-11+i321+i321−i321−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−i32-1-1-1-11-1-1−1+i321−i321−i32−1−i321+i321+i32111−i321−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−i32-1111111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1111−i32−1+i32−1+i321+i32−1−i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211−i321+i32−1+i32−1−i32
χ19111111-1-1-1-1111111111111111-1-1-1-1111111111111-1-11-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ20111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-11111-1-1-1-1-1-1-1-11111-111-1-1
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+i3211-1-11-1-1−1−i321+i321+i32−1+i321−i321−i32-1-11+i321+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+i32111-1-1-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1-1111+i32−1−i32−1−i321−i32−1+i32−1+i32111+i321+i321−i321−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−i3211-1-11-1-1−1+i321−i321−i32−1−i321+i321+i32-1-11−i321−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−i32111-1-1-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1-1111−i32−1+i32−1+i321+i32−1−i32−1−i32111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1−1+i32−1−i321−i321+i32
χ252222-2-200002222222222220-2-20000222222-2-2-2-20000-200-200-2000000000000000000000
χ262222-2-200002222222222220-2-20000-2-2-2-2-2-2-2-2-2-200002002002000000000000000000000
χ272222-2-200002222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30-2-2000022−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i30000-2001+i3001−i3000000000000000000000
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−i30000200−1−i300−1+i3000000000000000000000
χ292222-2-200002222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30-2-2000022−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i30000-2001−i3001+i3000000000000000000000
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+i30000200−1+i300−1−i3000000000000000000000
χ3122-2-20000−i2i222-2-22222-2-2-2-2000−i2−i2i2i22i−2i2i−2i2i−2i000000000000000002−20000−i2i2−i2i22−22−200000
χ3222-2-20000−i2i222-2-22222-2-2-2-2000−i2−i2i2i2−2i2i−2i2i−2i2i00000000000000000−220000−i2i2−i2i2−22−2200000
χ3322-2-20000−i2i222-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3000−i2−i2i2i22i−2i2ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ158000000000000000002−20000ζ13+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
χ3422-2-20000−i2i222-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3000−i2−i2i2i2−2i2i−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ15800000000000000000−220000ζ13+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
χ3522-2-20000−i2i222-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3000−i2−i2i2i22i−2i2ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ166000000000000000002−20000ζ5+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
χ3622-2-20000−i2i222-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3000−i2−i2i2i2−2i2i−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ16600000000000000000−220000ζ5+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
χ3722-2-20000i2−i222-2-22222-2-2-2-2000i2i2−i2−i22i−2i2i−2i2i−2i00000000000000000−220000i2−i2i2−i2−22−2200000
χ3822-2-20000i2−i222-2-22222-2-2-2-2000i2i2−i2−i2−2i2i−2i2i−2i2i000000000000000002−20000i2−i2i2−i22−22−200000
χ3922-2-20000i2−i222-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3000i2i2−i2−i22i−2i2ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ15800000000000000000−220000−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
χ4022-2-20000i2−i222-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3000i2i2−i2−i2−2i2i−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158000000000000000002−20000−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
χ4122-2-20000i2−i222-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3000i2i2−i2−i22i−2i2ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ16600000000000000000−220000−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
χ4222-2-20000i2−i222-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3000i2i2−i2−i2−2i2i−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166000000000000000002−20000−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
χ432-22-22-22-2002-2-2222-2-2-2-2220-2200000000002-22-2002-2000000000002-22-20000000000000
χ442-22-22-22-2002-2-22−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i30-220000000000−1−i31+i3−1+i31−i3002-200000000000−1−i31+i3−1+i31−i30000000000000
χ452-22-22-22-2002-2-22−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i30-220000000000−1+i31−i3−1−i31+i3002-200000000000−1+i31−i3−1−i31+i30000000000000
χ462-22-22-2-22002-2-2222-2-2-2-2220-2200000000002-22-200-2200000000000-22-220000000000000
χ472-22-22-2-22002-2-22−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i30-220000000000−1−i31+i3−1+i31−i300-22000000000001+i3−1−i31−i3−1+i30000000000000
χ482-22-22-2-22002-2-22−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i30-220000000000−1+i31−i3−1−i31+i300-22000000000001−i3−1+i31+i3−1−i30000000000000
χ492-22-2-2200002-2-2222-2-2-2-22202-20000000000-22-22000002-202-202-20000000000000000000
χ502-22-2-2200002-2-2222-2-2-2-22202-20000000000-22-2200000-220-220-220000000000000000000
χ512-22-2-2200002-2-22−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i302-200000000001+i3−1−i31−i3−1+i3000002-20−1−i31+i30−1+i31−i30000000000000000000
χ522-22-2-2200002-2-22−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i302-200000000001+i3−1−i31−i3−1+i300000-2201+i3−1−i301−i3−1+i30000000000000000000
χ532-22-2-2200002-2-22−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i302-200000000001−i3−1+i31+i3−1−i3000002-20−1+i31−i30−1−i31+i30000000000000000000
χ542-22-2-2200002-2-22−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i302-200000000001−i3−1+i31+i3−1−i300000-2201−i3−1+i301+i3−1−i30000000000000000000
χ554-4-440000004-44-444-4-444-4-40000000000000000000000000000000000000000000000000
χ564-4-440000004-44-4−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i32+2i32−2i30000000000000000000000000000000000000000000000000
χ574-4-440000004-44-4−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i30000000000000000000000000000000000000000000000000
χ586666666666-1-1-1-1000000006-1-1-1-1-1-10000000000-1-1-1-10000000000000000000000000000
χ5966666666-6-6-1-1-1-100000000-6-1-11111000000000011-1-10000000000000000000000000000
χ60666666-6-666-1-1-1-100000000-6-1-1-1-1-1-1000000000011110000000000000000000000000000
χ61666666-6-6-6-6-1-1-1-1000000006-1-111110000000000-1-1110000000000000000000000000000
χ626-66-66-66-600-111-10000000001-1−i7i7−i7i70000000000−i7i7-110000000000000000000000000000
χ636-66-66-66-600-111-10000000001-1i7−i7i7−i70000000000i7−i7-110000000000000000000000000000
χ646-66-66-6-6600-111-10000000001-1−i7i7−i7i70000000000i7−i71-10000000000000000000000000000
χ656-66-66-6-6600-111-10000000001-1i7−i7i7−i70000000000−i7i71-10000000000000000000000000000
χ6612121212-12-120000-2-2-2-2000000000220000000000000000000000000000000000000000000000
χ671212-12-120000−6i26i2-2-22200000000000i2i2−i2−i2000000000000000000000000000000000000000000
χ681212-12-1200006i2−6i2-2-22200000000000−i2−i2i2i2000000000000000000000000000000000000000000
χ6912-1212-12-12120000-222-2000000000-220000000000000000000000000000000000000000000000
χ7012-12-1212000000-22-220000000000014−14−1414000000000000000000000000000000000000000000
χ7112-12-1212000000-22-2200000000000−141414−14000000000000000000000000000000000000000000

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