Finite Group Databasebeta

← Group #12972191

Character table — Group #12972191

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222222222222444444444444444455558888888888888888888810101010101016161616161616161616161616161616161616161616161620202020404040404040404040404040
order1222444444551010101010102444202020202020202020202020444422244444888810102020202020202244441010101010102020202020202020202040404040404040402444244444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-111-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-11-1-1111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-111-111-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111111111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ9111111-1-11111111111-11-1-1111111-1-1-1-1111111111-1-11-1-111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-111-1-11111-1-1
χ10111111-1-11111111111-11-1-1111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-111
χ11111111-1-11111111111-11-1-1111111-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-11111-1-111
χ12111111-1-11111111111-11-1-1111111-1-1-1-1111111-1-1-111-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-11-1-111-1-111-1-111-1-1
χ13111111-1-11111111111-11-1-1111111-1-1-1-111-1-1-1-1111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-111-1-1-1-111
χ14111111-1-11111111111-11-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1111111-1-1
χ15111111-1-11111111111-11-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111111-1111111-1-1-1-111-1-1
χ16111111-1-11111111111-11-1-1111111-1-1-1-111-1-1-1-1-1-1-111-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1-1-11-111-1-111-1-111-1-111
χ171111-1-1111111111111-1-11-111-1-1-1-111111111111-111-1-11-11-11-1-1-1-1-111-1-111-1-11111-1-11111-1-111-1-1-1-111-1-111-1-1-1-11-11-11-11-11-11-11-1
χ181111-1-1111111111111-1-11-111-1-1-1-111111111111-1-11-11-11-11-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-11-1-111-11-1-11-11-11
χ191111-1-1111111111111-1-11-111-1-1-1-11111111111-111-11-11-1-11-11-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-111-1-111-1-11-11-1-11-111-1-11-11
χ201111-1-1111111111111-1-11-111-1-1-1-11111111111-11-1-111-111-11-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-11-1-11-11-11-111-11-1
χ211111-1-1111111111111-1-11-111-1-1-1-1111111-1-1-1-11-111-1-11-11-11-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-11-11-11-11-11-11-11
χ221111-1-1111111111111-1-11-111-1-1-1-1111111-1-1-1-11-1-11-11-11-11-11-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-11111-111-1-11-111-11-11-1
χ231111-1-1111111111111-1-11-111-1-1-1-1111111-1-1-1-1-111-11-11-1-11-11-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-11-111-11-1-111-11-1
χ241111-1-1111111111111-1-11-111-1-1-1-1111111-1-1-1-1-11-1-111-111-11-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-111-1-111-111-11-11-11-1-11-11
χ251111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-11111111-11-11-1-111-1-1111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1111-1-11-111-1-111-11-1-11
χ261111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-11111111-1-1-1111-1-111-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-11-1-111-11-1-11-11-111-1
χ271111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1111111-1111-1-1-11-111-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-11-1-11-11-111-11-1-111-1
χ281111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1111111-11-11-111-11-1-1111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1111-1-111-1-111-1-111-1-11
χ291111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-11-11-11-1-111-1-1111-1-1-1-111-1-1111111-1-111-1-111-1-111-1-111-1-1-1-111-111-11-1-111-1-11-111-1
χ301111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1111-1-111-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-1-111-1-11-111-11-11-1-11
χ311111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-11-111-111-1-1-1-111-1-11111-1-11111-1-11111-1-1-1-1-1-11111-1-1-111-11-11-1-11-111-1-11
χ321111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-11-11-111-11-1-1111-1-1-1-111-1-11111-1-111-1-111-1-111-1-11111-1-1-1-111-111-1-111-1-111-1-111-1
χ332222222222−1+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+52−1−520000222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ342222222222−1+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+52−1−52000022-222-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+521−521+520000000000000000
χ352222222222−1+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+52−1−520000-2-22-2-2222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000001−521+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+521−521+521−521+520000000000000000
χ362222222222−1+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+52−1−520000-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000001−521+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+52−1−520000000000000000
χ372222222222−1−52−1+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+520000222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ382222222222−1−52−1+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+52000022-222-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−521+521−520000000000000000
χ392222222222−1−52−1+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+520000-2-22-2-2222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000001+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+521−521+521−521+521−520000000000000000
χ402222222222−1−52−1+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+520000-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000001+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+520000000000000000
χ4122222222-2-2222222222-2-2-2-2-222222222-2-2222200000000000022-2-2-2-2-2-2-2-22222000000000000000000000000-2-2-22000000000000
χ4222222222-2-2222222222-2-2-2-2-222222222-2-2-2-2-2-200000000000022-2-2-2-2-2-222-2-2-2-2000000000000000000000000222-2000000000000
χ43222222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−520000222-2-22-2-222-2-21−521+52−1+52−1−521−521+521−521+52000000−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ44222222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52000022-2-2-2-222-2-2221−521+52−1+52−1−521−521+521−521+52000000−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ45222222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−520000-2-22222-2-2-2-2221−521+52−1+52−1−521−521+521−521+520000001−521+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+52−1−52−1+52−1−520000000000000000
χ46222222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−520000-2-2-222-22222-2-21−521+52−1+52−1−521−521+521−521+520000001−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ47222222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+520000222-2-22-2-222-2-21+521−52−1−52−1+521+521−521+521−52000000−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ48222222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52000022-2-2-2-222-2-2221+521−52−1−52−1+521+521−521+521−52000000−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ49222222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+520000-2-22222-2-2-2-2221+521−52−1−52−1+521+521−521+521−520000001+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+52−1−52−1+520000000000000000
χ50222222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+520000-2-2-222-22222-2-21+521−52−1−52−1+521+521−521+521−520000001+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ51222222-2-2-2-222222222-2-222-2-22222-2-2-2-2-2-22222000000000000-2-2-2-22222-2-222-2-20000000000000000000000002-22-2000000000000
χ52222222-2-2-2-222222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2000000000000-2-2-2-2222222-2-222000000000000000000000000-22-22000000000000
χ532222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5200002-222-2-22-22-22-21−521+521−521+52−1+52−1−521−521+52000000−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000000000
χ542222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5200002-2-22-22-22-22-221−521+521−521+52−1+52−1−521−521+52000000−1+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+52−1−521−521+52−1+52−1−520000000000000000
χ552222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−520000-222-22-22-2-22-221−521+521−521+52−1+52−1−521−521+520000001−521+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+52−1−521−521+52−1+52−1−520000000000000000
χ562222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−520000-22-2-222-222-22-21−521+521−521+52−1+52−1−521−521+520000001−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000000000000000
χ572222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5200002-222-2-22-22-22-21+521−521+521−52−1−52−1+521+521−52000000−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000000000
χ582222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5200002-2-22-22-22-22-221+521−521+521−52−1−52−1+521+521−52000000−1−52−1+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+521+521−52−1−52−1+520000000000000000
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χ7344444444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-4-4-41−51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51+50000000000000000−1+5−1−51−51+51−51+51−51+50000000000000000000000000000000000000000000000
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χ1018-8-88008i−8i00−2+25−2−252−25−2+252+25−2−252−252+250000000000−4ζ11−4ζ194ζ11+4ζ19−4ζ3−4ζ74ζ3+4ζ7000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88008i−8i00−2−25−2+252+25−2−252−25−2+252+252−250000000000−4ζ3−4ζ74ζ3+4ζ7−4ζ11−4ζ194ζ11+4ζ19000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-8800−8i8i00−2+25−2−252−25−2+252+25−2−252−252+2500000000004ζ11+4ζ19−4ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ7000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-8800−8i8i00−2−25−2+252+25−2−252−25−2+252+252−2500000000004ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ19000000000000000000000000000000000000000000000000000000000000000000000000

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