Finite Group Databasebeta

← Group #12011744

Character table — Group #12011744

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222444444444444444444444888888888888888888888888881616161616161616161616162020323232324040404040404080808080
order122222445510101010101048888101010102020202040404040404040401616161620204040404080808080808080808080808080808080224410101010101010104420202020488161616164444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1111-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111
χ922222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2000022-2-2-2-200000000000000000000000000002200002-2-200000000
χ1022222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2000022-2-2-2-20000000000000000000000000000-2-20000-22200000000
χ1122222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200−1+52−1−52−1+52−1−5200000000000
χ1222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+52001−521+521−521+5200000000000
χ1322222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2−1+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+5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52001−521+521−521+5200000000000
χ1422222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2−1+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+52-2-2221−521−521−521−521+521+521+521+5200−1+52−1−52−1+52−1−5200000000000
χ1522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+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+522222−1−52−1+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+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200−1−52−1+52−1−52−1+5200000000000
χ1622222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+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+522222−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−52001+521−521+521−5200000000000
χ1722222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+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+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52001+521−521+521−5200000000000
χ1822222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+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+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-2221+521+521+521+521−521−521−521−5200−1−52−1+52−1−52−1+5200000000000
χ19222222-2-222222222-200002222-2-2-2-20000000022−2−2-2-200002222−2−2−2−22222−2−2−2−2000000000000220000-20022−2−20000
χ20222222-2-222222222-200002222-2-2-2-20000000022−2−2-2-200002222−2−2−2−22222−2−2−2−2000000000000-2-20000200−2−2220000
χ21222222-2-222222222-200002222-2-2-2-200000000−2−222-2-20000−2−2−2−22222−2−2−2−22222000000000000220000-200−2−2220000
χ22222222-2-222222222-200002222-2-2-2-200000000−2−222-2-20000−2−2−2−22222−2−2−2−22222000000000000-2-2000020022−2−20000
χ232222-2-22222222222-222-2-2-2-2-2-22222222222220000-2-2-2-2-2-20000000000000000002-20000000000-2-22200000000000
χ242222-2-22222222222-222-2-2-2-2-2-22222222222220000-2-2-2-2-2-2000000000000000000-22000000000022-2-200000000000
χ252222-2-22222222222-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-20000-2-22222000000000000000000000000000000000000000002-200
χ262222-2-22222222222-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-20000-2-2222200000000000000000000000000000000000000000-2200
χ272222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521+521−521−521+521+52ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72002-2ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72001−521+52−1+52−1−5200000000000
χ282222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521+521−521−521+521+52ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ7200-22−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ7200−1+52−1−521−521+5200000000000
χ292222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521+521−521−521+521+52−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72002-2−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72001−521+52−1+52−1−5200000000000
χ302222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521+521−521−521+521+52−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ7200-22ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ7200−1+52−1−521−521+5200000000000
χ312222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521−521+521+521−521−52−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56002-2−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56001+521−52−1−52−1+5200000000000
χ322222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521−521+521+521−521−52−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ5600-22ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ5600−1−52−1+521+521−5200000000000
χ332222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521−521+521+521−521−52ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56002-2ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56001+521−52−1−52−1+5200000000000
χ342222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521−521+521+521−521−52ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ5600-22−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ5600−1−52−1+521+521−5200000000000
χ3522-2-2-22002222-2-2-2-202−22−22-22-2000022−2−222−2−2−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77002−22−2−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ770000000000002-2000002−2−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ770000
χ3622-2-2-22002222-2-2-2-202−22−22-22-2000022−2−222−2−2−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77002−22−2−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77000000000000-2200000−22ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ770000
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χ908-8-880000−2+25−2−252−252+25−2+25−2−252−252+2500000000000002ζ14+2ζ26−2ζ46−2ζ74−2ζ14−2ζ26+2ζ46+2ζ74−2ζ14−2ζ26+2ζ46+2ζ742ζ14+2ζ26−2ζ46−2ζ74−2ζ42+2ζ58+2ζ62−2ζ782ζ42−2ζ58−2ζ62+2ζ782ζ42−2ζ58−2ζ62+2ζ78−2ζ42+2ζ58+2ζ62−2ζ780000000000000000000000000000000000000000000000000000000
χ918-8-880000−2−25−2+252+252−25−2−25−2+252+252−250000000000000−2ζ42+2ζ58+2ζ62−2ζ782ζ42−2ζ58−2ζ62+2ζ782ζ42−2ζ58−2ζ62+2ζ78−2ζ42+2ζ58+2ζ62−2ζ78−2ζ14−2ζ26+2ζ46+2ζ742ζ14+2ζ26−2ζ46−2ζ742ζ14+2ζ26−2ζ46−2ζ74−2ζ14−2ζ26+2ζ46+2ζ740000000000000000000000000000000000000000000000000000000
χ928-8-880000−2−25−2+252+252−25−2−25−2+252+252−2500000000000002ζ42−2ζ58−2ζ62+2ζ78−2ζ42+2ζ58+2ζ62−2ζ78−2ζ42+2ζ58+2ζ62−2ζ782ζ42−2ζ58−2ζ62+2ζ782ζ14+2ζ26−2ζ46−2ζ74−2ζ14−2ζ26+2ζ46+2ζ74−2ζ14−2ζ26+2ζ46+2ζ742ζ14+2ζ26−2ζ46−2ζ740000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.