Finite Group Databasebeta

← Group #14511705

Character table — Group #14511705

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222222222668888121212121212121212121212121212121212121212121212121212121216161616161616161616161616161616161620202424242424242424242480808080120120120240
order122244551010101010102020202020202020443666488882020202020202020404040404040404040404040404040401212151530303030303060606060606060602288404040404040404066664884
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1
χ411111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5222222222222222222222222-1-1-1-120000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000-1-1-1-12000
χ6222222222222222222222222-1-1-1-120000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000001111-2000
χ7222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520022−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000
χ8222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-21+521+521+521+521−521−521−521−5200000000
χ9222222−1+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+52−1−52−1−5222222222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520022−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000
χ10222222−1+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+52−1−52−1−522222222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-21−521−521−521−521+521+521+521+5200000000
χ112222-2-222222222-2-2-2-2-2-2-2-2222222-200002222-2-2-2-20000000000000000-2-222222222-2-2-2-2-2-2-2-200000000000000000000
χ122222-2-222222222-2-2-2-2-2-2-2-222-1-1-1-1-200002222-2-2-2-2000000000000000011-1-1-1-1-1-1-1-111111111000000000000−i3−i3i3i30000
χ132222-2-222222222-2-2-2-2-2-2-2-222-1-1-1-1-200002222-2-2-2-2000000000000000011-1-1-1-1-1-1-1-111111111000000000000i3i3−i3−i30000
χ142222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52222222-20000−1−52−1−52−1+52−1+521+521+521−521−52−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ9400000000
χ152222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52222222-20000−1−52−1−52−1+52−1+521+521+521−521−52ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ9400000000
χ162222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52222222-20000−1+52−1+52−1−52−1−521−521−521+521+52ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ11800000000
χ172222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52222222-20000−1+52−1+52−1−52−1−521−521−521+521+52−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ11800000000
χ182-22-20022-2-22-22-2000000002-222-2-20−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200222-22-2-2-20000000000−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ192-22-20022-2-22-22-2000000002-222-2-20i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200222-22-2-2-20000000000i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ202-22-200−1−52−1+521+521−52−1−521+52−1+521−52−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ942-222-2-20−i2−i2i2i2−1−521+52−1+521−52−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ23+ζ37+ζ77+ζ103ζ23+ζ37+ζ77+ζ103−ζ23−ζ37−ζ77−ζ103−ζ23−ζ37−ζ77−ζ103ζ7+ζ13+ζ47+ζ53ζ7+ζ13+ζ47+ζ53−ζ7−ζ13−ζ47−ζ53−ζ7−ζ13−ζ47−ζ53ζ61+ζ79+ζ101+ζ119ζ61+ζ79+ζ101+ζ119−ζ61−ζ79−ζ101−ζ119−ζ61−ζ79−ζ101−ζ119ζ29+ζ31+ζ71+ζ109ζ29+ζ31+ζ71+ζ109−ζ29−ζ31−ζ71−ζ109−ζ29−ζ31−ζ71−ζ10900−1−52−1+52−1−521+52−1+521−521+521−52−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ9400−i2i2ζ23+ζ37+ζ77+ζ103−ζ23−ζ37−ζ77−ζ103ζ7+ζ13+ζ47+ζ53−ζ7−ζ13−ζ47−ζ53ζ61+ζ79+ζ101+ζ119−ζ61−ζ79−ζ101−ζ119ζ29+ζ31+ζ71+ζ109−ζ29−ζ31−ζ71−ζ10900000000
χ212-22-200−1−52−1+521+521−52−1−521+52−1+521−52−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ942-222-2-20i2i2−i2−i2−1−521+52−1+521−52−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ23−ζ37−ζ77−ζ103−ζ23−ζ37−ζ77−ζ103ζ23+ζ37+ζ77+ζ103ζ23+ζ37+ζ77+ζ103−ζ7−ζ13−ζ47−ζ53−ζ7−ζ13−ζ47−ζ53ζ7+ζ13+ζ47+ζ53ζ7+ζ13+ζ47+ζ53−ζ61−ζ79−ζ101−ζ119−ζ61−ζ79−ζ101−ζ119ζ61+ζ79+ζ101+ζ119ζ61+ζ79+ζ101+ζ119−ζ29−ζ31−ζ71−ζ109−ζ29−ζ31−ζ71−ζ109ζ29+ζ31+ζ71+ζ109ζ29+ζ31+ζ71+ζ10900−1−52−1+52−1−521+52−1+521−521+521−52−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ9400i2−i2−ζ23−ζ37−ζ77−ζ103ζ23+ζ37+ζ77+ζ103−ζ7−ζ13−ζ47−ζ53ζ7+ζ13+ζ47+ζ53−ζ61−ζ79−ζ101−ζ119ζ61+ζ79+ζ101+ζ119−ζ29−ζ31−ζ71−ζ109ζ29+ζ31+ζ71+ζ10900000000
χ222-22-200−1−52−1+521+521−52−1−521+52−1+521−52ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ942-222-2-20−i2−i2i2i2−1−521+52−1+521−52ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ7+ζ13+ζ47+ζ53ζ7+ζ13+ζ47+ζ53−ζ7−ζ13−ζ47−ζ53−ζ7−ζ13−ζ47−ζ53ζ23+ζ37+ζ77+ζ103ζ23+ζ37+ζ77+ζ103−ζ23−ζ37−ζ77−ζ103−ζ23−ζ37−ζ77−ζ103ζ29+ζ31+ζ71+ζ109ζ29+ζ31+ζ71+ζ109−ζ29−ζ31−ζ71−ζ109−ζ29−ζ31−ζ71−ζ109ζ61+ζ79+ζ101+ζ119ζ61+ζ79+ζ101+ζ119−ζ61−ζ79−ζ101−ζ119−ζ61−ζ79−ζ101−ζ11900−1−52−1+52−1−521+52−1+521−521+521−52ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ9400−i2i2ζ7+ζ13+ζ47+ζ53−ζ7−ζ13−ζ47−ζ53ζ23+ζ37+ζ77+ζ103−ζ23−ζ37−ζ77−ζ103ζ29+ζ31+ζ71+ζ109−ζ29−ζ31−ζ71−ζ109ζ61+ζ79+ζ101+ζ119−ζ61−ζ79−ζ101−ζ11900000000
χ232-22-200−1−52−1+521+521−52−1−521+52−1+521−52ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ942-222-2-20i2i2−i2−i2−1−521+52−1+521−52ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ7−ζ13−ζ47−ζ53−ζ7−ζ13−ζ47−ζ53ζ7+ζ13+ζ47+ζ53ζ7+ζ13+ζ47+ζ53−ζ23−ζ37−ζ77−ζ103−ζ23−ζ37−ζ77−ζ103ζ23+ζ37+ζ77+ζ103ζ23+ζ37+ζ77+ζ103−ζ29−ζ31−ζ71−ζ109−ζ29−ζ31−ζ71−ζ109ζ29+ζ31+ζ71+ζ109ζ29+ζ31+ζ71+ζ109−ζ61−ζ79−ζ101−ζ119−ζ61−ζ79−ζ101−ζ119ζ61+ζ79+ζ101+ζ119ζ61+ζ79+ζ101+ζ11900−1−52−1+52−1−521+52−1+521−521+521−52ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ9400i2−i2−ζ7−ζ13−ζ47−ζ53ζ7+ζ13+ζ47+ζ53−ζ23−ζ37−ζ77−ζ103ζ23+ζ37+ζ77+ζ103−ζ29−ζ31−ζ71−ζ109ζ29+ζ31+ζ71+ζ109−ζ61−ζ79−ζ101−ζ119ζ61+ζ79+ζ101+ζ11900000000
χ242-22-200−1+52−1−521−521+52−1+521−52−1−521+52ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ1182-222-2-20−i2−i2i2i2−1+521−52−1−521+52ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ61+ζ79+ζ101+ζ119ζ61+ζ79+ζ101+ζ119−ζ61−ζ79−ζ101−ζ119−ζ61−ζ79−ζ101−ζ119ζ29+ζ31+ζ71+ζ109ζ29+ζ31+ζ71+ζ109−ζ29−ζ31−ζ71−ζ109−ζ29−ζ31−ζ71−ζ109ζ7+ζ13+ζ47+ζ53ζ7+ζ13+ζ47+ζ53−ζ7−ζ13−ζ47−ζ53−ζ7−ζ13−ζ47−ζ53ζ23+ζ37+ζ77+ζ103ζ23+ζ37+ζ77+ζ103−ζ23−ζ37−ζ77−ζ103−ζ23−ζ37−ζ77−ζ10300−1+52−1−52−1+521−52−1−521+521−521+52ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ11800−i2i2ζ61+ζ79+ζ101+ζ119−ζ61−ζ79−ζ101−ζ119ζ29+ζ31+ζ71+ζ109−ζ29−ζ31−ζ71−ζ109ζ7+ζ13+ζ47+ζ53−ζ7−ζ13−ζ47−ζ53ζ23+ζ37+ζ77+ζ103−ζ23−ζ37−ζ77−ζ10300000000
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χ938-8-888-8−2+25−2−25−2+25−2−252−252−252+252+25−2+25−2+25−2−25−2−252−252−252+252+25002-2-22000000000000000000000000000002-2−1+52−1−521−521−521+521+52−1+52−1−52−1+521−52−1+521−52−1−521+52−1−521+5200000000000000000000
χ948-8-88-88−2−25−2+25−2−25−2+252+252+252−252−252+252+252−252−25−2−25−2−25−2+25−2+25002-2-2200000000000000000000000000000-22−1−52−1+521+521+521−521−52−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+5200000000000000000000
χ958-8-88-88−2+25−2−25−2+25−2−252−252−252+252+252−252−252+252+25−2+25−2+25−2−25−2−25002-2-2200000000000000000000000000000-22−1+52−1−521−521−521+521+52−1+52−1−521−52−1+521−52−1+521+52−1−521+52−1−5200000000000000000000

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