Finite Group Databasebeta

← Group #12013291

Character table — Group #12013291

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111122222222222222224444444444444444444888888888888888888888888881616161616161616161616162020202020202020202032323232404040404080160
order1222444455888810101010101048820202020202020204040404040404040161616162020404040408080808080808080808080808080808044884040404040404040221616161616161616202020204448844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1
χ6111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11
χ7111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11
χ8111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-111-1-11-1
χ92222222222-2-2-2-22222222-2-222222222-2-2-2-2-2-2-2-2000022-2-2-2-2000000000000000000000000000022000000000000200-2-200
χ102222222222-2-2-2-22222222-2-222222222-2-2-2-2-2-2-2-2000022-2-2-2-20000000000000000000000000000-2-2000000000000-2002200
χ1122222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−520000000000−1+52−1+52−1−52−1−520000000
χ1222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+5200000000001−521−521+521+520000000
χ1322222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+5222-2-21−521−521−521−521+521+521+521+520000000000−1+52−1+52−1−52−1−520000000
χ1422222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000001−521−521+521+520000000
χ1522222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+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+520000000000−1−52−1−52−1+52−1+520000000
χ1622222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+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+521−521−521−521−5200000000001+521+521−521−520000000
χ1722222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+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+521−521−521−521−521−521−521−521−5222-2-21+521+521+521+521−521−521−521−520000000000−1−52−1−52−1+52−1+520000000
χ1822222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+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+521−521−521−521−521−521−521−521−52-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000001+521+521−521−520000000
χ1922222-22-2220000222222-20022-2-2-2-2220000000022−2−2-2-200002222−2−2−2−22222−2−2−2−2000000000000222222−2−2−2−20000-2000000
χ2022222-22-2220000222222-20022-2-2-2-2220000000022−2−2-2-200002222−2−2−2−22222−2−2−2−2000000000000-2-2−2−2−2−2222200002000000
χ2122222-22-2220000222222-20022-2-2-2-22200000000−2−222-2-20000−2−2−2−22222−2−2−2−2222200000000000022−2−2−2−222220000-2000000
χ2222222-22-2220000222222-20022-2-2-2-22200000000−2−222-2-20000−2−2−2−22222−2−2−2−22222000000000000-2-22222−2−2−2−200002000000
χ232222-22-22222222222222-2-2-2-2-22222-2-2222222220000-2-2-2-2-2-200000000000000000000000000000000000000000002200-20
χ242222-22-22222222222222-2-2-2-2-22222-2-2222222220000-2-2-2-2-2-20000000000000000000000000000000000000000000-2-20020
χ252222-22-2222-2-2-2-2222222-222-2-22222-2-2-2-2-2-2-2-2-2-20000-2-2222200000000000000002-2000000000000000000002-22-20000000
χ262222-22-2222-2-2-2-2222222-222-2-22222-2-2-2-2-2-2-2-2-2-20000-2-222220000000000000000-2200000000000000000000-22-220000000
χ272222-22-22−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2221−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521+521+5200001−521+52−1+52−1+52−1−52−1−52−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ282-200−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280000000000−1+521−52−1−521+520000000
χ282222-22-22−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2221−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521+521+5200001−521+52−1+52−1+52−1−52−1−52−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28-2200ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800000000001−52−1+521+52−1−520000000
χ292222-22-22−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2221−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521+521+5200001−521+52−1+52−1+52−1−52−1−52ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ282-200ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280000000000−1+521−52−1−521+520000000
χ302222-22-22−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2221−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521+521+5200001−521+52−1+52−1+52−1−52−1−52ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28-2200−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800000000001−52−1+521+52−1−520000000
χ312222-22-22−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2221+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521−521−5200001+521−52−1−52−1−52−1+52−1+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ762-200ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ760000000000−1−521+52−1+521−520000000
χ322222-22-22−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2221+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521−521−5200001+521−52−1−52−1−52−1+52−1+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76-2200−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ7600000000001+52−1−521−52−1+520000000
χ332222-22-22−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2221+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521−521−5200001+521−52−1−52−1−52−1+52−1+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ762-200−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ760000000000−1−521+52−1+521−520000000
χ342222-22-22−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2221+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521−521−5200001+521−52−1−52−1−52−1+52−1+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76-2200ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ7600000000001+52−1−521−52−1+520000000
χ3522-2-220-20222−22−22-22-2-2-202−2220000-2-22−22−22−22−2ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77002−22−2ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+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−ζ77ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+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−ζ770000000000002-2ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ7700000002−200
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χ904-4-4400004422−22−2222-4-4-4-4440000000000022−2222−22−2222−22220000000000000000000000000000000000000000−ζ9+ζ11−ζ13+ζ27−ζ29+ζ31−ζ41+ζ43+ζ47−ζ57+ζ59−ζ61+ζ63−ζ73−ζ77+ζ79ζ9−ζ11+ζ13−ζ27+ζ29−ζ31+ζ41−ζ43−ζ47+ζ57−ζ59+ζ61−ζ63+ζ73+ζ77−ζ79ζ9−ζ11+ζ13−ζ27+ζ29−ζ31+ζ41−ζ43−ζ47+ζ57−ζ59+ζ61−ζ63+ζ73+ζ77−ζ79−ζ9+ζ11−ζ13+ζ27−ζ29+ζ31−ζ41+ζ43+ζ47−ζ57+ζ59−ζ61+ζ63−ζ73−ζ77+ζ79−ζ9−ζ11+ζ13−ζ27+ζ29+ζ31−ζ41−ζ43+ζ47−ζ57−ζ59+ζ61+ζ63−ζ73+ζ77+ζ79ζ9+ζ11−ζ13+ζ27−ζ29−ζ31+ζ41+ζ43−ζ47+ζ57+ζ59−ζ61−ζ63+ζ73−ζ77−ζ79ζ9+ζ11−ζ13+ζ27−ζ29−ζ31+ζ41+ζ43−ζ47+ζ57+ζ59−ζ61−ζ63+ζ73−ζ77−ζ79−ζ9−ζ11+ζ13−ζ27+ζ29+ζ31−ζ41−ζ43+ζ47−ζ57−ζ59+ζ61+ζ63−ζ73+ζ77+ζ7900000000000
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χ978-8-880000−2−25−2+2542−42−42422+252+252−252−25−2−25−2+25000000000002ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ74−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ782ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ7400000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.