Finite Group Databasebeta

← Group #13085752

Character table — Group #13085752

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222224444444444444444444666666888888888810101010101012121212121212121212121212151520202020202024242424242424303030303036607272120180
order1233455661010121236121212151515152020303030306060606088242424241515303060606060606088242424242404040401201201201201201201201204424242424242461010303030302661212241010124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-111111111111111111111-1-1-1-1-1-1-111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-11-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ511111111111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-11-1-11-1
χ611111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111-11
χ711111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-11
χ811111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
χ922222−1−52−1+5222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000002−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000002−1−52−1+52−1−52−1−52−1+52−1+520000020−1−52−1+5200
χ1022222−1−52−1+5222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000-21+521−521+521+521−521−5200000-201+521−5200
χ1122222−1−52−1+5222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000021+521+521−521−521+521+521+521+521−521−521−521−52000000002−1−52−1+52−1−52−1−52−1+52−1+5200000-201+521−5200
χ1222222−1−52−1+5222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000-21+521+521−521−521+521+521+521+521−521−521−521−5200000000-21+521−521+521+521−521−520000020−1−52−1+5200
χ1322222−1+52−1−5222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000002−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000002−1+52−1−52−1+52−1+52−1−52−1−520000020−1+52−1−5200
χ1422222−1+52−1−5222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000-21−521+521−521−521+521+5200000-201−521+5200
χ1522222−1+52−1−5222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000021−521−521+521+521−521−521−521−521+521+521+521+52000000002−1+52−1−52−1+52−1+52−1−52−1−5200000-201−521+5200
χ1622222−1+52−1−5222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000-21−521−521+521+521−521−521−521−521+521+521+521+5200000000-21−521+521−521−521+521+520000020−1+52−1−5200
χ172222-2222222-2-222-2-2-22222-2-22222-2-2-2-20000002222-2-2-2-2-2-20000000000000000000220000000000000-2-2-222000000
χ182222-2222222-2-222-2-2-22222-2-22222-2-2-2-20000002222-2-2-2-2-2-20000000000000000000-2-20000000000000222-2-2000000
χ19222-1222-1222-1-1-1-12-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-102222-1-1-1-1-1-1-1-12222-1-1-1-100000002-1-1-1-1000000
χ20222-1222-1222-1-1-1-12-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2111102222-1-1-1-1-1-1-1-1-2-2-2-211110000000-21111000000
χ21222-1222-1222-1-1-1-12-1-1-1-12222-1-122-1-1-1-1-2-21111-1-1-1-122-1-1-1-122-1-1-1-10-2-2-2-211111111-2-222-1-1-1-10000000-21111000000
χ22222-1222-1222-1-1-1-12-1-1-1-12222-1-122-1-1-1-1-2-21111-1-1-1-122-1-1-1-1-2-211110-2-2-2-21111111122-2-2111100000002-1-1-1-1000000
χ23222-1-222-122211-1-1-211-1-122-2-2-1-12211110033−3−3-1-1-1-1-2-211110033−3−30000033−3−333−3−3220033−3−30000000-211-1-1000000
χ24222-1-222-122211-1-1-211-1-122-2-2-1-12211110033−3−3-1-1-1-1-2-2111100−3−3330000033−3−333−3−3-2-200−3−33300000002-1-111000000
χ25222-1-222-122211-1-1-211-1-122-2-2-1-122111100−3−333-1-1-1-1-2-211110033−3−300000−3−333−3−333-2-20033−3−300000002-1-111000000
χ26222-1-222-122211-1-1-211-1-122-2-2-1-122111100−3−333-1-1-1-1-2-2111100−3−33300000−3−333−3−3332200−3−3330000000-211-1-1000000
χ2722-122222-12222-1-1-1-1-122-1-12222-1-12222000000-1-1-1-1-1-1-1-1-1-1222222200000000000000-1-1-1-1-1-1-122-1-1-1-1000000200-10
χ2822-122222-12222-1-1-1-1-122-1-12222-1-12222000000-1-1-1-1-1-1-1-1-1-1222222-200000000000000-1-1-1-1-1-11-2-21111000000-20010
χ2922-122222-12222-1-1-1-1-122-1-12222-1-12222000000-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2200000000000000111111-122-1-1-1-1000000-20010
χ3022-122222-12222-1-1-1-1-122-1-12222-1-12222000000-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2000000000000001111111-2-21111000000200-10
χ312-222022-2-2-2-2002-2000222200-2-2-2-200002−22−22−222-2-2000000−i2i2−i2i2−i2i202−22−22−22−22−22−22i−2i−i2i2−i2i2−i2i200000000002i−2i000000
χ322-222022-2-2-2-2002-2000222200-2-2-2-200002−22−22−222-2-2000000i2−i2i2−i2i2−i202−22−22−22−22−22−2−2i2ii2−i2i2−i2i2−i20000000000−2i2i000000
χ332-222022-2-2-2-2002-2000222200-2-2-2-20000−22−22−2222-2-2000000−i2i2−i2i2−i2i20−22−22−22−22−22−22−2i2i−i2i2−i2i2−i2i20000000000−2i2i000000
χ342-222022-2-2-2-2002-2000222200-2-2-2-20000−22−22−2222-2-2000000i2−i2i2−i2i2−i20−22−22−22−22−22−222i−2ii2−i2i2−i2i2−i200000000002i−2i000000
χ352-22-10221-2-2-23−3-1103−3-1-1220011-2-23−33−32−2−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119-1-111003−33−3−i2i2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ10302−22−2−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ1192i−2i−i2i2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ10300000000−i3i3−ii000000
χ362-22-10221-2-2-23−3-1103−3-1-1220011-2-23−33−32−2−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119-1-111003−33−3i2−i2−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ10302−22−2−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−2i2ii2−i2−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ10300000000i3−i3i−i000000
χ372-22-10221-2-2-23−3-1103−3-1-1220011-2-23−33−3−22ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119-1-111003−33−3−i2i2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ1030−22−22ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−2i2i−i2i2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ10300000000i3−i3i−i000000
χ382-22-10221-2-2-23−3-1103−3-1-1220011-2-23−33−3−22ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119-1-111003−33−3i2−i2−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ1030−22−22ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ1192i−2ii2−i2−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ10300000000−i3i3−ii000000
χ392-22-10221-2-2-2−33-110−33-1-1220011-2-2−33−332−2ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103-1-11100−33−33−i2i2ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ11902−22−2ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ1032i−2i−i2i2ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ11900000000i3−i3−ii000000
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χ764-44-20−1+5−1−52-41−51+5−2323-220−23231−521+52−1+5−1−500−1+52−1−521−51+5−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ11822−222ζ13−2ζ23+2ζ37−2ζ47+2ζ61−2ζ71+2ζ109−2ζ119−2ζ13+2ζ23−2ζ37+2ζ47−2ζ61+2ζ71−2ζ109+2ζ119−2ζ7+2ζ29−2ζ31+2ζ53+2ζ77−2ζ79+2ζ101−2ζ1032ζ7−2ζ29+2ζ31−2ζ53−2ζ77+2ζ79−2ζ101+2ζ1031−521+52−1+52−1−5200−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1180000000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ61+ζ71−ζ109+ζ119ζ61−ζ71+ζ109−ζ119−ζ29+ζ31+ζ79−ζ101ζ29−ζ31−ζ79+ζ101−ζ13+ζ23−ζ37+ζ47ζ13−ζ23+ζ37−ζ47ζ7−ζ53−ζ77+ζ103−ζ7+ζ53+ζ77−ζ10300000000000000000000000000
χ774-44-20−1+5−1−52-41−51+5−2323-220−23231−521+52−1+5−1−500−1+52−1−521−51+5−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−2222−2ζ13+2ζ23−2ζ37+2ζ47−2ζ61+2ζ71−2ζ109+2ζ1192ζ13−2ζ23+2ζ37−2ζ47+2ζ61−2ζ71+2ζ109−2ζ1192ζ7−2ζ29+2ζ31−2ζ53−2ζ77+2ζ79−2ζ101+2ζ103−2ζ7+2ζ29−2ζ31+2ζ53+2ζ77−2ζ79+2ζ101−2ζ1031−521+52−1+52−1−5200−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1180000000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ61−ζ71+ζ109−ζ119−ζ61+ζ71−ζ109+ζ119ζ29−ζ31−ζ79+ζ101−ζ29+ζ31+ζ79−ζ101ζ13−ζ23+ζ37−ζ47−ζ13+ζ23−ζ37+ζ47−ζ7+ζ53+ζ77−ζ103ζ7−ζ53−ζ77+ζ10300000000000000000000000000
χ784-4-24044-42-4-400-2200044-2-200-4-4220000000000-2-222000000−2i22i2−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i2000000000000000000
χ794-4-24044-42-4-400-2200044-2-200-4-4220000000000-2-2220000002i2−2i22i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i2000000000000000000
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χ8488-4-48−2−25−2+25-4-4−2−25−2+25-4-422-4221+51−51+51−5−2−25−2+251+51−51+51−51+51+51−51−5000000−1−52−1+52−1−52−1+521+51−5−1−52−1−52−1+52−1+52000000000000000000000000000000000000000000000
χ8588-4-48−2+25−2−25-4-4−2+25−2−25-4-422-4221−51+51−51+5−2+25−2−251−51+51−51+51−51−51+51+5000000−1+52−1−52−1+52−1−521−51+5−1+52−1+52−1−52−1−52000000000000000000000000000000000000000000000
χ8688-4-4-8−2−25−2+25-4-4−2−25−2+2544224-2-21+51−51+51−52+252−251+51−51+51−5−1−5−1−5−1+5−1+5000000−1−52−1+52−1−52−1+52−1−5−1+51+521+521−521−52000000000000000000000000000000000000000000000
χ8788-4-4-8−2+25−2−25-4-4−2+25−2−2544224-2-21−51+51−51+52−252+251−51+51−51+5−1+5−1+5−1−5−1−5000000−1+52−1−52−1+52−1−52−1+5−1−51−521−521+521+52000000000000000000000000000000000000000000000
χ888-8-480−2−25−2+25-842+252−2500-44000−2−25−2+251+51−5002+252−25−1−5−1+500000000001+51−5−1−5−1+5000000000000000000000000000000000000000000000000000
χ898-8-480−2+25−2−25-842−252+2500-44000−2+25−2−251−51+5002−252+25−1+5−1−500000000001−51+5−1+5−1−5000000000000000000000000000000000000000000000000000
χ908-8-4-40−2−25−2+25442+252−2543−432-20−23231+51−51+51−500−1−5−1+5−1−5−1+5−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1182ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94000000−1−52−1+521+521−5200ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94000000000000000000000000000000000000000000000
χ918-8-4-40−2−25−2+25442+252−25−43432-2023−231+51−51+51−500−1−5−1+5−1−5−1+52ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ94000000−1−52−1+521+521−5200−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94000000000000000000000000000000000000000000000
χ928-8-4-40−2+25−2−25442−252+2543−432-20−23231−51+51−51+500−1+5−1−5−1+5−1−52ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ118000000−1+52−1−521−521+5200−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000000000000000000000000000000000000000
χ938-8-4-40−2+25−2−25442−252+25−43432-2023−231−51+51−51+500−1+5−1−5−1+5−1−5−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118000000−1+52−1−521−521+5200ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.