Finite Group Databasebeta

← Group #12000226

Character table — Group #12000226

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size11112222222222222222222244444444444444444444488888888888888888888888888888888888888888888161616161616161616168080808080808080
order1222224455101010101010202020202020202044444101010102020202020202020202020204444888820202020202020202020202020202020202020204040404040404040404040404040404088404040404040404044444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ5111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-111
χ8111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1111-1-1
χ9222222222222222222222222-22-2-2-222222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000000000000000002-200
χ10222222222222222222222222-22-2-2-222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000000000000-2200
χ1122222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+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+52−1−52−1−5222222222−1+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+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+52−1−52−1−52−1−52−1−5200000000
χ1222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+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+52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-21−521−521−521−521+521+521+521+5200000000
χ1322222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+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+52−1−52−1−52-2-2-2-22222−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+5200000000
χ1422222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000
χ1522222222−1−52−1+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+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+5222222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+5200000000
χ1622222222−1−52−1+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+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+522222-2-2-2-2−1−52−1−52−1+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-21+521+521+521+521−521−521−521−5200000000
χ1722222222−1−52−1+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+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+52-2-2-2-22222−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521−521−521−521−5200000000
χ1822222222−1−52−1+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+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+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+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+5200000000
χ19222222-2-222222222-2-2-2-2-2-2-2-22-2-22-22222-2-2-2-2-2-2-2-22222000000002-22-200000000000000000000000000000000000000000020-200000
χ20222222-2-222222222-2-2-2-2-2-2-2-22-2-22-22222-2-2-2-2-2-2-2-22222000000002-22-2000000000000000000000000000000000000000000-20200000
χ21222222-2-222222222-2-2-2-2-2-2-2-2-2-22-222222-2-2-2-22222-2-2-2-222-2-20000-22-222222-2-2-2-22222-2-2-2-20000000000000000000000000000000000
χ22222222-2-222222222-2-2-2-2-2-2-2-2-2-22-222222-2-2-2-22222-2-2-2-2-2-2220000-22-22-2-2-2-22222-2-2-2-222220000000000000000000000000000000000
χ23222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-22-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5222-2-200001−52−1+521+52−1−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ700−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700000000
χ24222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-22-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5222-2-200001−52−1+521+52−1−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ700ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700000000
χ25222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-22-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-22200001−52−1+521+52−1−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−52−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ700ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700000000
χ26222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-22-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-22200001−52−1+521+52−1−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−52ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ700−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700000000
χ27222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-22-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222-2-200001+52−1−521−52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ1900ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ1900000000
χ28222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-22-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222-2-200001+52−1−521−52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ1900−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ1900000000
χ29222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-22-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-2-22200001+52−1−521−52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+52ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ1900−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ1900000000
χ30222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-22-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-2-22200001+52−1−521−52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+52−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ1900ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ1900000000
χ312222-2-22222222222222222222-2-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022220000000000000000000000000000000000000000000000002-2
χ322222-2-22222222222222222222-2-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002222000000000000000000000000000000000000000000000000-22
χ332222-2-2222222222222222222-2-222-2-2-2-2-2-2-2-2-222222222000022-2-2-2-2-2-2000000000000000022-2-222-2-222-2-222-2-2000000000000000000
χ342222-2-2222222222222222222-2-222-2-2-2-2-2-2-2-2-2222222220000-2-222-2-2-2-20000000000000000-2-222-2-222-2-222-2-222000000000000000000
χ352222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022-2-21−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−521+521+52−1−52−1−521+521+5200ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ1800000000
χ362222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022-2-21−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−521+521+52−1−52−1−521+521+5200−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ2+ζ1800000000
χ372222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2221−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ181−521−52−1+52−1+521−521−52−1+52−1+521+521+52−1−52−1−521+521+52−1−52−1−5200−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ2+ζ1800000000
χ382222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2221−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ181−521−52−1+52−1+521−521−52−1+52−1+521+521+52−1−52−1−521+521+52−1−52−1−5200ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ1800000000
χ392222-2-222−1−52−1+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+52-2-222-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022-2-21+521+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−1−52−1−521+521+52−1−52−1−521+521+52−1+52−1+521−521−52−1+52−1+521−521−5200−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ1400000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.