Finite Group Databasebeta

← Group #72229662

Character table — Group #72229662

Order 2688.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115
size11222222244448888888816163366666661212121224242424242424244848336666666121212122424242424242424484877141414141414142828282856565656565656561121127714141414141414282828285656565656565656112112
order12244888844882488161616164471414282856565656282856561428565611211211211228287141428285656565628285656142856561121121121122828366121224242424121224246122424484848481212366121224242424121224246122424484848481212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1
χ31111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-1
χ41111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111
χ511111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-1
χ611111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-11
χ711111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-11
χ811111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-1
χ92222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-220000000000
χ1022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-20000000000
χ1122-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i000000
χ1222-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i000000
χ1322-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-200000000
χ1422-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-2200000000
χ1522-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i200
χ1622-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i200
χ1722-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i200
χ1822-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i200
χ19444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000
χ204-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-2000000000000
χ214-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-22000000000000
χ224-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-22000000000000
χ234-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-2000000000000
χ24111111111111111111111111111111111111111111111111111111111111111111111−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2511111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1−1+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−i321−i321−i321−i321−i321−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+i321+i321+i321+i321+i321+i32
χ261111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-1−1+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−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ271111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111−1+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−i321−i321−i321−i321−i321−i321−i321−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+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ2811111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ2911111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ3011111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ3111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32
χ322222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-220000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i30000000000
χ3322222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-20000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i30000000000
χ3422-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i000000−1+i3−1+i31−i3−1+i31−i300−1+i3−1+i3001−i30002ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ158000000−1−i3−1−i31+i3−1−i31+i300−1−i3−1−i3001+i30002ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ166000000
χ3522-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i000000−1+i3−1+i31−i3−1+i31−i300−1+i3−1+i3001−i3000−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158000000−1−i3−1−i31+i3−1−i31+i300−1−i3−1−i3001+i3000−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166000000
χ3622-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-200000000−1+i3−1+i31−i3−1+i31−i3001−i31−i300−1+i30−1+i31−i300000000−1−i3−1−i31+i3−1−i31+i3001+i31+i300−1−i30−1−i31+i300000000
χ3722-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-2200000000−1+i3−1+i31−i3−1+i31−i3001−i31−i300−1+i301−i3−1+i300000000−1−i3−1−i31+i3−1−i31+i3001+i31+i300−1−i301+i3−1−i300000000
χ3822-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i200−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3000001−i30000−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+ζ16700−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3000001+i30000−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+ζ15700
χ3922-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i200−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3000001−i30000ζ5+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−ζ16700−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3000001+i30000ζ13+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−ζ15700
χ4022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i200−1+i3−1+i31−i31−i3−1+i31−i31−i300000−1+i30000−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−ζ16700−1−i3−1−i31+i31+i3−1−i31+i31+i300000−1−i30000−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−ζ15700
χ4122-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i200−1+i3−1+i31−i31−i3−1+i31−i31−i300000−1+i30000ζ5+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+ζ16700−1−i3−1−i31+i31+i3−1−i31+i31+i300000−1−i30000ζ13+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+ζ15700
χ42444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i3000000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i3000000000000000000
χ434-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-2000000000000−2+2i32−2i3000−2ζ5−2ζ23−2ζ29−2ζ47−2ζ53−2ζ71−2ζ95−2ζ101−2ζ125−2ζ143−2ζ149−2ζ1672ζ5+2ζ23+2ζ29+2ζ47+2ζ53+2ζ71+2ζ95+2ζ101+2ζ125+2ζ143+2ζ149+2ζ167−2ζ5−2ζ23−2ζ29−2ζ47−2ζ53−2ζ71−2ζ95−2ζ101−2ζ125−2ζ143−2ζ149−2ζ1672ζ5+2ζ23+2ζ29+2ζ47+2ζ53+2ζ71+2ζ95+2ζ101+2ζ125+2ζ143+2ζ149+2ζ167−1+i31−i3000000000000−2−2i32+2i3000−2ζ13−2ζ31−2ζ37−2ζ55−2ζ61−2ζ79−2ζ85−2ζ103−2ζ109−2ζ127−2ζ151−2ζ1572ζ13+2ζ31+2ζ37+2ζ55+2ζ61+2ζ79+2ζ85+2ζ103+2ζ109+2ζ127+2ζ151+2ζ157−2ζ13−2ζ31−2ζ37−2ζ55−2ζ61−2ζ79−2ζ85−2ζ103−2ζ109−2ζ127−2ζ151−2ζ1572ζ13+2ζ31+2ζ37+2ζ55+2ζ61+2ζ79+2ζ85+2ζ103+2ζ109+2ζ127+2ζ151+2ζ157−1−i31+i3000000000000
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χ4811111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1−1−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+i321+i321+i321+i321+i321+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−i321−i321−i321−i321−i321−i32
χ491111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-1−1−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+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ501111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111−1−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+i321+i321+i321+i321+i321+i321+i321+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−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ5111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ5211111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ5311111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
χ5411111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
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Here ζ is a primitive root of unity of order 168 (ζ168 = 1); i = ζ42.