Finite Group Databasebeta

← Group #10618729

Character table — Group #10618729

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size1111222222222222222222224444444444444444444444444444444445555888888888888888888101010101010101010101010202020202020202020
order1222224444444444551010101010102444444441010101020202020202020202020202020202020202020204444101020202020202020202020202020202020224444444444224444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-1111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1
χ4111111111111-1-1-1-1111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111
χ51111111111-1-111-1-111111111-11-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11-1-1-1-111-1-1
χ61111111111-1-111-1-111111111-11-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-11111-1-111
χ71111111111-1-1-1-11111111111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-11-1-1-1-1-111
χ81111111111-1-1-1-11111111111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11-111111-1-1
χ9111111-1-1-1-111111111111111-1-1-11-11-11-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1111111-1-1-11-11-11-1
χ10111111-1-1-1-111111111111111-1-1-11-11-11-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1111-11-11-11
χ11111111-1-1-1-111-1-1-1-111111111-1111-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-11-1-11-11
χ12111111-1-1-1-111-1-1-1-111111111-1111-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-11111-1-11-111-11-1
χ13111111-1-1-1-1-1-111-1-1111111111-11-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-111-111-1-11
χ14111111-1-1-1-1-1-111-1-1111111111-11-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1111-1-11-1-111-1
χ15111111-1-1-1-1-1-1-1-1111111111111-1-11-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1111-11-11-111-1
χ16111111-1-1-1-1-1-1-1-1111111111111-1-11-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1111111-1-1-11-11-11-1-11
χ171111-1-111-1-111111111111111-1-1-1-11-11-11-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-11-11-11
χ181111-1-111-1-111111111111111-1-1-1-11-11-11-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111-11-11-1
χ191111-1-111-1-111-1-1-1-111111111-111-111-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-11-1
χ201111-1-111-1-111-1-1-1-111111111-111-111-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-11111-1-111-1-11-11
χ211111-1-111-1-1-1-111-1-1111111111-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1111-1-111-1
χ221111-1-111-1-1-1-111-1-1111111111-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1111-1-1-111-1-11
χ231111-1-111-1-1-1-1-1-1111111111111-11-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-11-1-11
χ241111-1-111-1-1-1-1-1-1111111111111-11-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111111111-1-1-11-1-11-111-1
χ251111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1
χ261111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111
χ271111-1-1-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11-1-11111
χ281111-1-1-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-111-1-1-1-1
χ291111-1-1-1-111-1-111-1-111111111-11-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1-111-1-111
χ301111-1-1-1-111-1-111-1-111111111-11-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-111-111-1-111-1-1
χ311111-1-1-1-111-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-11-11111-1-1
χ321111-1-1-1-111-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-11-11-1-1-1-111
χ332222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000
χ342222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000
χ35222222222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-222-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+520000−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000
χ36222222222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-222-2-2-2-2−1−52−1−52−1+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+521+521+521−521−521+521+521−521−520000−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000000
χ372222222222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200001−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000
χ382222222222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200001+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000
χ392222222222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+521−521+52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000
χ402222222222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−521+521−52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000
χ41222222-2-2-2-2222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-22-22-22-2−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−5200001−521+521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52000000000000000000000
χ42222222-2-2-2-2222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-22-22-22-2−1−52−1−52−1+52−1+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+5200001+521−521+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52000000000000000000000
χ43222222-2-2-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2222-2-22-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200001−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000000
χ44222222-2-2-2-222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2222-2-22-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000000
χ45222222-2-2-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-222-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52000000000000000000000
χ46222222-2-2-2-2-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-222-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52000000000000000000000
χ47222222-2-2-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-22-222-2−1+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+52−1−52−1−520000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000000
χ48222222-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-22-222-2−1−52−1−52−1+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+520000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52000000000000000000000
χ492222-2-222-2-2222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000000
χ502222-2-222-2-2222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22-22-221+521+521−521−52−1−52−1−52−1+52−1+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+5200001+521−521+521−521+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000000
χ512222-2-222-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-222-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200001−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52000000000000000000000
χ522222-2-222-2-222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-222-22-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52000000000000000000000
χ532222-2-222-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-222-2-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000000
χ542222-2-222-2-2-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-222-2-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−52000000000000000000000
χ552222-2-222-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-22-22-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52000000000000000000000
χ562222-2-222-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-22-22-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52000000000000000000000
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χ914-4-444-44i−4i4i−4i000000−1+5−1−51−51+51−5−1+51+5−1−5000000000−1+51−5−1−51+5−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ70000000000000000000000000000000000000000000000000000000
χ924-4-444-44i−4i4i−4i000000−1−5−1+51+51−51+5−1−51−5−1+5000000000−1−51+5−1+51−5−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000000000000000000000000
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χ944-4-444-4−4i4i−4i4i000000−1−5−1+51+51−51+5−1−51−5−1+5000000000−1−51+5−1+51−52ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000000000000000000000000
χ954-4-44-444i−4i−4i4i000000−1+5−1−51−51+51−5−1+51+5−1−50000000001−5−1+51+5−1−5−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ70000000000000000000000000000000000000000000000000000000
χ964-4-44-444i−4i−4i4i000000−1−5−1+51+51−51+5−1−51−5−1+50000000001+5−1−51−5−1+5−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000000000000000000000000
χ974-4-44-44−4i4i4i−4i000000−1+5−1−51−51+51−5−1+51+5−1−50000000001−5−1+51+5−1−52ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ70000000000000000000000000000000000000000000000000000000
χ984-4-44-44−4i4i4i−4i000000−1−5−1+51+51−51+5−1−51−5−1+50000000001+5−1−51−5−1+52ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000000000000000000000000
χ9988-8-8000000000000−2+25−2−25−2+25−2−252−252−252+252+250000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8000000000000−2−25−2+25−2−25−2+252+252+252−252−250000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.