Finite Group Databasebeta

← Group #10618436

Character table — Group #10618436

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size1111222222222244444444444444444444444444888888888888888888888888101010102020202020202020202020202020
order1222445510101010101022244444444444202020202020202020202020101010101010202020202020202020202020202020202020444422224444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1
χ4111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ51111111111111111-1-1111-1-1-11-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-11-1111-1-1-11-1
χ61111111111111111-1-1111-1-1-11-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-11-1-1-1111-11
χ71111111111111111-1-1-1-1-11-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-11-1-1-11
χ81111111111111111-1-1-1-1-11-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1111-1
χ911111111111111-1-11111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1
χ1011111111111111-1-11111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111
χ1111111111111111-1-111-1-111-1-11-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111
χ1211111111111111-1-111-1-111-1-11-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ1311111111111111-1-1-1-111-1111-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11-111-1111-11
χ1411111111111111-1-1-1-111-1111-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-1-11-1-1-11-1
χ1511111111111111-1-1-1-1-1-11-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1111-1-1-11-1111-1
χ1611111111111111-1-1-1-1-1-11-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-11111-1-1-1111-11-1-1-11
χ171111-1-1111111111-11-11-11-11-1-11-11-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-111-1-111111-11-1-1-11-11-11-1-11
χ181111-1-1111111111-11-11-11-11-1-11-11-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-11-1111-11-11-111-1
χ191111-1-1111111111-11-1-11-111-11-11-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-11111111-1-11-1-1-11-111-11-1
χ201111-1-1111111111-11-1-11-111-11-11-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-111-1111-11-1-11-11
χ211111-1-1111111111-1-111-111-11-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11-1-11-111-111-11-1-1
χ221111-1-1111111111-1-111-111-11-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-111-11-1-11-1-11-111
χ231111-1-1111111111-1-11-11-1-1-1111-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-111-1-11-11-1-11-11-1-1-1111
χ241111-1-1111111111-1-11-11-1-1-1111-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-11-111-11-1111-1-1-1
χ251111-1-111111111-111-11-1-11-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-11111-111-1-1-11-1-11-111-1
χ261111-1-111111111-111-11-1-11-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11-1-1111-111-11-1-11
χ271111-1-111111111-111-1-111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1-1-1111111-11-11-1-1-111-1-11-11
χ281111-1-111111111-111-1-111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11-11-1111-1-111-11-1
χ291111-1-111111111-11-111-1-1-11-11-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1-11-11-111-1-1-11-111
χ301111-1-111111111-11-111-1-1-11-11-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-111-1-111-1-1111-11-11-1-1111-11-1-1
χ311111-1-111111111-11-11-11111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-111-1-1-111-1-11-11111-1-1-1
χ321111-1-111111111-11-11-11111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1111-1-111-11-1-1-1-1111
χ33222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ34222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-222-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+52000000000000000000
χ35222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2222-2-2-22-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52000000000000000000
χ36222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2-22-2-2-2222−1+52−1+52−1−52−1−52−1+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+52−1+52−1−52−1+52−1−52000000000000000000
χ37222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22222-2-2-2-2-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ38222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-222-2-22-2-22−1+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+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−521−521+521−521+52000000000000000000
χ39222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2222-2-2-22−1+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+52000000000000000000
χ40222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-22-222222-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521+521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ41222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ42222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-222-2-2-2-21+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+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52000000000000000000
χ43222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2222-2-2-22-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52000000000000000000
χ44222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2-22-2-2-2222−1−52−1−52−1+52−1+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+521−52−1−52−1+52−1−52−1+52000000000000000000
χ45222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22222-2-2-2-2-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ46222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-222-2-22-2-22−1−52−1−52−1+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+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+521+521−521+521−52000000000000000000
χ47222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2222-2-2-22−1−52−1−52−1+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+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−52000000000000000000
χ48222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-22-222222-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521−521+521−52−1−52−1+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+52000000000000000000
χ492222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-22-22-22-2-22-221−521−521+521+521−521−521+521+52−1+52−1+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+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52000000000000000000
χ502222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-2-22-222-22-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000
χ512222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-222-222-22-2-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52000000000000000000
χ522222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-22-22-2-2-2222-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+52000000000000000000
χ532222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-22-2-22-2222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+52000000000000000000
χ542222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-222-2-22-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52000000000000000000
χ552222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-222-2-2-22-22-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000
χ562222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-22-22222-2-22-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52000000000000000000
χ572222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-22-22-22-2-22-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−52000000000000000000
χ582222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-2-22-222-22-22-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000
χ592222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-222-222-22-2-22-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52000000000000000000
χ602222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-22-22-2-2-2222-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−52000000000000000000
χ612222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-22-2-22-2222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−52000000000000000000
χ622222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-222-2-22-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+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+521+521−521+521−52−1−52−1+52000000000000000000
χ632222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-222-2-2-22-22-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000
χ642222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-22-22222-2-22-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−52000000000000000000
χ6544-4-44-444-4-444-4-40000000000000000004-44-40000000000000000000000000000000000000000000000
χ6644-4-44-4−1+5−1−51−51+5−1+5−1−51−51+500000000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7−1+51−5−1−51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000000000000000
χ6744-4-44-4−1+5−1−51−51+5−1+5−1−51−51+5000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7−1+51−5−1−51+52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000000000000000
χ6844-4-44-4−1−5−1+51+51−5−1−5−1+51+51−5000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−1−51+5−1+51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000000000000000
χ6944-4-44-4−1−5−1+51+51−5−1−5−1+51+51−500000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19−1−51+5−1+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000000000
χ7044-4-4-4444-4-444-4-4000000000000000000-44-440000000000000000000000000000000000000000000000
χ7144-4-4-44−1+5−1−51−51+5−1+5−1−51−51+500000000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ71−5−1+51+5−1−52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000000000000000
χ7244-4-4-44−1+5−1−51−51+5−1+5−1−51−51+5000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ71−5−1+51+5−1−5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000000000000000
χ7344-4-4-44−1−5−1+51+51−5−1−5−1+51+51−5000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ191+5−1−51−5−1+5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000000000
χ7444-4-4-44−1−5−1+51+51−5−1−5−1+51+51−500000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ191+5−1−51−5−1+52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000000000000000
χ754-44-4004444-4-4-4-400000000000000000000000000000000000000000000000000004i−4i00000000000000
χ764-44-4004444-4-4-4-40000000000000000000000000000000000000000000000000000−4i4i00000000000000
χ774-4-440044-4-4-4-444000000000000000000000000000000000000000000000000004-40000000000000000
χ784-4-440044-4-4-4-44400000000000000000000000000000000000000000000000000-440000000000000000
χ798-88-800−2+25−2−25−2+25−2−252−252+252−252+2500000000000000000000000000000000000000000000000000000000000000000000
χ808-88-800−2−25−2+25−2−25−2+252+252−252+252−2500000000000000000000000000000000000000000000000000000000000000000000
χ818-8-8800−2+25−2−252−252+252−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000
χ828-8-8800−2−25−2+252+252−252+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000

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