Finite Group Databasebeta

← Group #13051909

Character table — Group #13051909

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222444446666666677777777121212121212121212121212141414141414141428282828282828282828282828282828282828282828565656565656
order12224444224447141414282828283366666614141414282828282828282812121212121212126666888812121212121224242424242424244412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111111111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ4111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321−i321+i321−i32
χ5111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111111111−1+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+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ6111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321+i321−i321+i32
χ711111111-1-11-1-11111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1
χ811111111-1-11-1-11111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ911111111-1-11-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ1011111111-1-11-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1+i32−1−i32−1+i32
χ1111111111-1-11-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ1211111111-1-11-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1−i32−1+i32−1−i32
χ1311111-1-1111-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-111-1-1
χ1411111-1-1111-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-111-11-1-111
χ1511111-1-1111-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321−i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i32−1+i321+i321−i32
χ1611111-1-1111-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−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−i321−i321−i32−1+i32−1+i32-111+i321−i32−1−i32−1+i32
χ1711111-1-1111-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111-1-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321+i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i32−1−i321−i321+i32
χ1811111-1-1111-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111-1-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+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+i321+i321+i32−1−i32−1−i32-111−i321+i32−1+i32−1−i32
χ1911111-1-11-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-11-1-111
χ2011111-1-11-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-1111-111-1-1
χ2111111-1-11-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-111-1-11111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i3211-1-11+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111+i321−i32−1−i32−1+i32
χ2211111-1-11-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-111-1-11111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i32−1+i321+i321−i32
χ2311111-1-11-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-111-1-11111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i3211-1-11−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111−i321+i32−1+i32−1−i32
χ2411111-1-11-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-111-1-11111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i32−1−i321−i321+i32
χ252222-222-200-20022222222222222220000-2-2-2-20000-2-22222-2-200000000-2-2000000000000000000
χ262222-222-200-20022222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30000-2-2-2-200001+i31−i3−1−i3−1−i3−1+i3−1+i31+i31−i3000000001+i31−i3000000000000000000
χ272222-222-200-20022222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30000-2-2-2-200001−i31+i3−1+i3−1+i3−1−i3−1−i31−i31+i3000000001−i31+i3000000000000000000
χ282222-2-2-2-2002002222-2-2-2-2222222220000-2-2220000-2-2-2-2-2-2-2-20000000022000000000000000000
χ292222-2-2-2-2002002222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30000-2-22200001+i31−i31+i31+i31−i31−i31+i31−i300000000−1−i3−1+i3000000000000000000
χ302222-2-2-2-2002002222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30000-2-22200001−i31+i31−i31−i31+i31+i31−i31+i300000000−1+i3−1−i3000000000000000000
χ3122-2-2200-22-200022-2-200002222-2-2-2-222-2-22-2000000220000-2-22-22-2000000000000000000000000
χ3222-2-2200-22-200022-2-20000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i322-2-22-2000000−1−i3−1+i300001+i31−i3−1−i31+i3−1+i31−i3000000000000000000000000
χ3322-2-2200-22-200022-2-20000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i322-2-22-2000000−1+i3−1−i300001−i31+i3−1+i31−i3−1−i31+i3000000000000000000000000
χ3422-2-2200-2-2200022-2-200002222-2-2-2-2-2-2222-2000000220000-2-2-22-22000000000000000000000000
χ3522-2-2200-2-2200022-2-20000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3-2-2222-2000000−1−i3−1+i300001+i31−i31+i3−1−i31−i3−1+i3000000000000000000000000
χ3622-2-2200-2-2200022-2-20000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3-2-2222-2000000−1+i3−1−i300001−i31+i31−i3−1+i31+i3−1−i3000000000000000000000000
χ3722-2-2-20020002i−2i22-2-200002222-2-2-2-20000-22002i2i−2i−2i-2-200002200000000002i−2i2i−2i00000000000000
χ3822-2-2-20020002i−2i22-2-20000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000-22002i2i−2i−2i1+i31−i30000−1−i3−1+i300000000002ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ15800000000000000
χ3922-2-2-20020002i−2i22-2-20000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000-22002i2i−2i−2i1−i31+i30000−1+i3−1−i300000000002ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ16600000000000000
χ4022-2-2-2002000−2i2i22-2-200002222-2-2-2-20000-2200−2i−2i2i2i-2-20000220000000000−2i2i−2i2i00000000000000
χ4122-2-2-2002000−2i2i22-2-20000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000-2200−2i−2i2i2i1+i31−i30000−1−i3−1+i30000000000−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ15800000000000000
χ4222-2-2-2002000−2i2i22-2-20000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000-2200−2i−2i2i2i1−i31+i30000−1+i3−1−i30000000000−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ16600000000000000
χ432-22-202i−2i0000002-22-22i2i−2i−2i22-2-222-2-2000000000000002i−2i2i−2i0000002−2−i2i20000002−2−i2i22−2−i2i2000000
χ442-22-202i−2i0000002-22-22i2i−2i−2i22-2-222-2-2000000000000002i−2i2i−2i000000−22i2−i2000000−22i2−i2−22i2−i2000000
χ452-22-202i−2i0000002-22-22i2i−2i−2i−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3000000000000002ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1580000002−2−i2i2000000−ζ13+ζ31−ζ37+ζ55−ζ61+ζ79−ζ85+ζ103−ζ109+ζ127+ζ151−ζ157ζ13−ζ31+ζ37−ζ55+ζ61−ζ79+ζ85−ζ103+ζ109−ζ127−ζ151+ζ157ζ13+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−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167000000
χ462-22-202i−2i0000002-22-22i2i−2i−2i−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3000000000000002ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ158000000−22i2−i2000000ζ13−ζ31+ζ37−ζ55+ζ61−ζ79+ζ85−ζ103+ζ109−ζ127−ζ151+ζ157−ζ13+ζ31−ζ37+ζ55−ζ61+ζ79−ζ85+ζ103−ζ109+ζ127+ζ151−ζ157−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+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167000000
χ472-22-202i−2i0000002-22-22i2i−2i−2i−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i3000000000000002ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1660000002−2−i2i2000000−ζ5+ζ23−ζ29+ζ47−ζ53+ζ71+ζ95−ζ101−ζ125+ζ143−ζ149+ζ167ζ5−ζ23+ζ29−ζ47+ζ53−ζ71−ζ95+ζ101+ζ125−ζ143+ζ149−ζ167ζ5+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+ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157000000
χ482-22-202i−2i0000002-22-22i2i−2i−2i−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i3000000000000002ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ166000000−22i2−i2000000ζ5−ζ23+ζ29−ζ47+ζ53−ζ71−ζ95+ζ101+ζ125−ζ143+ζ149−ζ167−ζ5+ζ23−ζ29+ζ47−ζ53+ζ71+ζ95−ζ101−ζ125+ζ143−ζ149+ζ167−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−ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157000000
χ492-22-20−2i2i0000002-22-2−2i−2i2i2i22-2-222-2-200000000000000−2i2i−2i2i0000002−2i2−i20000002−2i2−i22−2i2−i2000000
χ502-22-20−2i2i0000002-22-2−2i−2i2i2i22-2-222-2-200000000000000−2i2i−2i2i000000−22−i2i2000000−22−i2i2−22−i2i2000000
χ512-22-20−2i2i0000002-22-2−2i−2i2i2i−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i300000000000000−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ1580000002−2i2−i2000000−ζ13+ζ31−ζ37+ζ55−ζ61+ζ79−ζ85+ζ103−ζ109+ζ127+ζ151−ζ157ζ13−ζ31+ζ37−ζ55+ζ61−ζ79+ζ85−ζ103+ζ109−ζ127−ζ151+ζ157−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−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167000000
χ522-22-20−2i2i0000002-22-2−2i−2i2i2i−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i300000000000000−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158000000−22−i2i2000000ζ13−ζ31+ζ37−ζ55+ζ61−ζ79+ζ85−ζ103+ζ109−ζ127−ζ151+ζ157−ζ13+ζ31−ζ37+ζ55−ζ61+ζ79−ζ85+ζ103−ζ109+ζ127+ζ151−ζ157ζ13+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+ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167000000
χ532-22-20−2i2i0000002-22-2−2i−2i2i2i−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i300000000000000−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ1660000002−2i2−i2000000−ζ5+ζ23−ζ29+ζ47−ζ53+ζ71+ζ95−ζ101−ζ125+ζ143−ζ149+ζ167ζ5−ζ23+ζ29−ζ47+ζ53−ζ71−ζ95+ζ101+ζ125−ζ143+ζ149−ζ167−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−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157000000
χ542-22-20−2i2i0000002-22-2−2i−2i2i2i−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i300000000000000−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166000000−22−i2i2000000ζ5−ζ23+ζ29−ζ47+ζ53−ζ71−ζ95+ζ101+ζ125−ζ143+ζ149−ζ167−ζ5+ζ23−ζ29+ζ47−ζ53+ζ71+ζ95−ζ101−ζ125+ζ143−ζ149+ζ167ζ5+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−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157000000
χ554-4-440000000004-4-44000044-4-4-4-444000000000000000000000000000000000000000000000000
χ564-4-440000000004-4-440000−2−2i3−2+2i32+2i32−2i32+2i32−2i3−2−2i3−2+2i3000000000000000000000000000000000000000000000000
χ574-4-440000000004-4-440000−2+2i3−2−2i32−2i32+2i32−2i32+2i3−2+2i3−2−2i3000000000000000000000000000000000000000000000000
χ586666666666666-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5966666666-6-66-6-6-1-1-1-1-1-1-1-1000000001111-1-1-1-11111000000000000000000000000000000000000
χ6066666-6-6666-6-6-6-1-1-1-1111100000000-1-1-1-1-1-1111111000000000000000000000000000000000000
χ6166666-6-66-6-6-666-1-1-1-11111000000001111-1-111-1-1-1-1000000000000000000000000000000000000
χ626666-666-600-600-1-1-1-1-1-1-1-100000000−i7i7−i7i71111−i7i7−i7i7000000000000000000000000000000000000
χ636666-666-600-600-1-1-1-1-1-1-1-100000000i7−i7i7−i71111i7−i7i7−i7000000000000000000000000000000000000
χ646666-6-6-6-600600-1-1-1-1111100000000−i7i7−i7i711-1-1i7−i7i7−i7000000000000000000000000000000000000
χ656666-6-6-6-600600-1-1-1-1111100000000i7−i7i7−i711-1-1−i7i7−i7i7000000000000000000000000000000000000
χ6666-6-6600-66-6000-1-1117−77−700000000-1-111-117−77−7−77000000000000000000000000000000000000
χ6766-6-6600-66-6000-1-111−77−7700000000-1-111-11−77−777−7000000000000000000000000000000000000
χ6866-6-6600-6-66000-1-1117−77−70000000011-1-1-117−7−777−7000000000000000000000000000000000000
χ6966-6-6600-6-66000-1-111−77−770000000011-1-1-11−777−7−77000000000000000000000000000000000000
χ7066-6-6-60060006i−6i-1-1117−77−700000000−i7i7i7−i71-1−77−i−iii000000000000000000000000000000000000
χ7166-6-6-60060006i−6i-1-111−77−7700000000i7−i7−i7i71-17−7−i−iii000000000000000000000000000000000000
χ7266-6-6-6006000−6i6i-1-1117−77−700000000i7−i7−i7i71-1−77ii−i−i000000000000000000000000000000000000
χ7366-6-6-6006000−6i6i-1-111−77−7700000000−i7i7i7−i71-17−7ii−i−i000000000000000000000000000000000000
χ7412-1212-12012i−12i000000-22-22−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ7512-1212-120−12i12i000000-22-222i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ7612-12-1212000000000-222-2−2i72i72i7−2i700000000000000000000000000000000000000000000000000000000
χ7712-12-1212000000000-222-22i7−2i7−2i72i700000000000000000000000000000000000000000000000000000000

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