Finite Group Databasebeta

← Group #10620450

Character table — Group #10620450

Order 672.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122446666777777771212121212121414141414141414141414141414141428282828282828282828
order12442488714282833661212121214285656565666888812122424242424242424882424242424242424
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i321111−1−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+i32−1−i32−1−i32−1+i32−1+i32
χ4111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ5111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i321111−1+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−i32−1+i32−1+i32−1−i32−1−i32
χ6111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32-1-1-1-1−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ7111111-1-111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ8111111-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ9111111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ10111111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ11111111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ12111111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1−1+i32−1−i32-1-1-1-1−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ1311-1-1-11i−i11-1-11111-1-1-1-1-11ii−i−i-1-111-1-11111-1-111-1-1i−ii−ii−ii−ii−i
χ1411-1-1-11i−i11-1-11111-1-1-1-1-11ii−i−i-1-1-1-11111-1-111-1-111−iii−ii−i−ii−ii
χ1511-1-1-11i−i11-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11ii−i−i1+i321−i3211-1-1−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−iζ22+ζ46+ζ94+ζ118+ζ142+ζ166−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166ζ38+ζ62+ζ86+ζ110+ζ134+ζ158−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158ζ22+ζ46+ζ94+ζ118+ζ142+ζ166−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166ζ38+ζ62+ζ86+ζ110+ζ134+ζ158−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158
χ1611-1-1-11i−i11-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11ii−i−i1+i321−i32-1-111−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−iiζ22+ζ46+ζ94+ζ118+ζ142+ζ166−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166ζ38+ζ62+ζ86+ζ110+ζ134+ζ158−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166ζ22+ζ46+ζ94+ζ118+ζ142+ζ166−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158ζ38+ζ62+ζ86+ζ110+ζ134+ζ158
χ1711-1-1-11i−i11-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11ii−i−i1−i321+i3211-1-1−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−iζ38+ζ62+ζ86+ζ110+ζ134+ζ158−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158ζ22+ζ46+ζ94+ζ118+ζ142+ζ166−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166ζ38+ζ62+ζ86+ζ110+ζ134+ζ158−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158ζ22+ζ46+ζ94+ζ118+ζ142+ζ166−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166
χ1811-1-1-11i−i11-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11ii−i−i1−i321+i32-1-111−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−iiζ38+ζ62+ζ86+ζ110+ζ134+ζ158−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158ζ22+ζ46+ζ94+ζ118+ζ142+ζ166−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158ζ38+ζ62+ζ86+ζ110+ζ134+ζ158−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166ζ22+ζ46+ζ94+ζ118+ζ142+ζ166
χ1911-1-1-11−ii11-1-11111-1-1-1-1-11−i−iii-1-111-1-11111-1-111-1-1−ii−ii−ii−ii−ii
χ2011-1-1-11−ii11-1-11111-1-1-1-1-11−i−iii-1-1-1-11111-1-111-1-111i−i−ii−iii−ii−i
χ2111-1-1-11−ii11-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−i−iii1+i321−i3211-1-1−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166ζ22+ζ46+ζ94+ζ118+ζ142+ζ166−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158ζ38+ζ62+ζ86+ζ110+ζ134+ζ158−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166ζ22+ζ46+ζ94+ζ118+ζ142+ζ166−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158ζ38+ζ62+ζ86+ζ110+ζ134+ζ158
χ2211-1-1-11−ii11-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−i−iii1+i321−i32-1-111−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166ζ22+ζ46+ζ94+ζ118+ζ142+ζ166−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158ζ38+ζ62+ζ86+ζ110+ζ134+ζ158ζ22+ζ46+ζ94+ζ118+ζ142+ζ166−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166ζ38+ζ62+ζ86+ζ110+ζ134+ζ158−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158
χ2311-1-1-11−ii11-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−i−iii1−i321+i3211-1-1−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158ζ38+ζ62+ζ86+ζ110+ζ134+ζ158−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166ζ22+ζ46+ζ94+ζ118+ζ142+ζ166−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158ζ38+ζ62+ζ86+ζ110+ζ134+ζ158−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166ζ22+ζ46+ζ94+ζ118+ζ142+ζ166
χ2411-1-1-11−ii11-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−i−iii1−i321+i32-1-111−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i−i−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158ζ38+ζ62+ζ86+ζ110+ζ134+ζ158−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166ζ22+ζ46+ζ94+ζ118+ζ142+ζ166ζ38+ζ62+ζ86+ζ110+ζ134+ζ158−ζ38−ζ62−ζ86−ζ110−ζ134−ζ158ζ22+ζ46+ζ94+ζ118+ζ142+ζ166−ζ22−ζ46−ζ94−ζ118−ζ142−ζ166
χ252222-2-200222222222222-2-20000-2-20000-2-2000000000000000000
χ262222-2-2002222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-200001+i31−i300001+i31−i3000000000000000000
χ272222-2-2002222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-200001−i31+i300001−i31+i3000000000000000000
χ2822-2-22-20022-2-22222-2-2-2-22-20000220000-2-2000000000000000000
χ2922-2-22-20022-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i32-20000−1−i3−1+i300001+i31−i3000000000000000000
χ3022-2-22-20022-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i32-20000−1+i3−1−i300001−i31+i3000000000000000000
χ312-22i−2i00002-22i−2i22-2-22i−2i2i−2i000000002−2−i2i2002−2−i2i22−2−i2i20000000000
χ322-22i−2i00002-22i−2i22-2-22i−2i2i−2i00000000−22i2−i200−22i2−i2−22i2−i20000000000
χ332-22i−2i00002-22i−2i−1−i3−1+i31+i31−i32ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ158000000002−2−i2i200−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−ζ1670000000000
χ342-22i−2i00002-22i−2i−1−i3−1+i31+i31−i32ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ15800000000−22i2−i200ζ13−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+ζ1670000000000
χ352-22i−2i00002-22i−2i−1+i3−1−i31−i31+i32ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ166000000002−2−i2i200−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−ζ1570000000000
χ362-22i−2i00002-22i−2i−1+i3−1−i31−i31+i32ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ16600000000−22i2−i200ζ5−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+ζ1570000000000
χ372-2−2i2i00002-2−2i2i22-2-2−2i2i−2i2i000000002−2i2−i2002−2i2−i22−2i2−i20000000000
χ382-2−2i2i00002-2−2i2i22-2-2−2i2i−2i2i00000000−22−i2i200−22−i2i2−22−i2i20000000000
χ392-2−2i2i00002-2−2i2i−1−i3−1+i31+i31−i3−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158000000002−2i2−i200−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+ζ1670000000000
χ402-2−2i2i00002-2−2i2i−1−i3−1+i31+i31−i3−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ15800000000−22−i2i200ζ13−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−ζ1670000000000
χ412-2−2i2i00002-2−2i2i−1+i3−1−i31−i31+i3−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166000000002−2i2−i200−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+ζ1570000000000
χ422-2−2i2i00002-2−2i2i−1+i3−1−i31−i31+i3−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ16600000000−22−i2i200ζ5−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−ζ1570000000000
χ4366666666-1-1-1-100000000-1-1-1-1-1-100000000000000000000000000
χ44666666-6-6-1-1-1-100000000-1-1111100000000000000000000000000
χ456666-6-600-1-1-1-10000000011−i7i7−i7i700000000000000000000000000
χ466666-6-600-1-1-1-10000000011i7−i7i7−i700000000000000000000000000
χ4766-6-66-600-1-11100000000-117−7−7700000000000000000000000000
χ4866-6-66-600-1-11100000000-11−777−700000000000000000000000000
χ4966-6-6-666i−6i-1-111000000001-1−i−iii00000000000000000000000000
χ5066-6-6-66−6i6i-1-111000000001-1ii−i−i00000000000000000000000000
χ5112-1212i−12i0000-22−2i2i0000000000000000000000000000000000000000
χ5212-12−12i12i0000-222i−2i0000000000000000000000000000000000000000

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