Finite Group Databasebeta

← Group #72255639

Character table — Group #72255639

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size111111112222222222222222222222222222222222224444444444448888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616
order1222222222222222222222222222444444444444444422224444444422222222222222224444444444444444888888888888888844444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ911111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1211111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1311111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1411111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1511111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1611111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ171111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ181111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ191111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ201111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ211111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ221111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ231111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ241111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ251111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ261111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ271111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ281111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ291111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ301111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ311111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ321111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ332222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000002-22-22-22-200000000
χ342222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000-22-22-22-2200000000
χ3522222222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000002-22-2-22-2200000000
χ3622222222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000-22-222-22-200000000
χ372222222222-2-2-222-2-222-2-222-2-2-2-2-22222-2-2-22222-2-2-2-2-22-22-222-2-222-2-200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ382222222222-2-2-222-2-222-2-222-2-2-2-2-22222-2-2-22222-2-2-2-2-22-22-222-2-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ392222222222-2-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2222-2-2-2-2222222-22-2-2-222-2-222000000000000000000000000000000000000000000000000000000002-22-22-22-20000000000000000
χ402222222222-2-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2222-2-2-2-2222222-22-2-2-222-2-22200000000000000000000000000000000000000000000000000000000-22-22-22-220000000000000000
χ412222222222-2-2-222-2-2-2-222-2-222-2-2-22222-2-2-22222-2-2-2-2-2-22-22-2-222-2-22200000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ422222222222-2-2-222-2-2-2-222-2-222-2-2-22222-2-2-22222-2-2-2-2-2-22-22-2-222-2-2220000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ432222222222-2-2-222-2-2-2-222-2-222-2-2-2-2-2-2-2222-2-2-2-222222-22-2222-2-222-2-2000000000000000000000000000000000000000000000000000000002-22-2-22-220000000000000000
χ442222222222-2-2-222-2-2-2-222-2-222-2-2-2-2-2-2-2222-2-2-2-222222-22-2222-2-222-2-200000000000000000000000000000000000000000000000000000000-22-222-22-20000000000000000
χ4522222222-2-222-2-2-2-2-222-2-222-2-222-222-2-222-222-2-2-2-222-2-22-222-22-22-22-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ4622222222-2-222-2-2-2-2-222-2-222-2-222-222-2-222-222-2-2-2-222-2-22-222-22-22-22-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ4722222222-2-222-2-2-2-2-222-2-222-2-222-2-2-222-2-22-2-22222-2-22-22-22-22-22-22-220000000000000000000000000000000000000000000000002-22-22-22-2000000000000000000000000
χ4822222222-2-222-2-2-2-2-222-2-222-2-222-2-2-222-2-22-2-22222-2-22-22-22-22-22-22-22000000000000000000000000000000000000000000000000-22-22-22-22000000000000000000000000
χ4922222222-2-222-2-2-2-2-2-2-222-2-22222-222-2-222-222-2-2-2-222-22-22-2-22-22-22-2222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ5022222222-2-222-2-2-2-2-2-2-222-2-22222-222-2-222-222-2-2-2-222-22-22-2-22-22-22-22-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ5122222222-2-222-2-2-2-2-2-2-222-2-22222-2-2-222-2-22-2-22222-2-222-22-22-22-22-22-20000000000000000000000000000000000000000000000002-22-2-22-22000000000000000000000000
χ5222222222-2-222-2-2-2-2-2-2-222-2-22222-2-2-222-2-22-2-22222-2-222-22-22-22-22-22-2000000000000000000000000000000000000000000000000-22-222-22-2000000000000000000000000
χ5322222222-2-2-2-22-2-22222222222-2-2222-2-2-2-2222-2-222-2-22-2-2-2-22-2-222-2-220000000000000000000000000000000022-2-222-2-222-2-222-2-200000000000000000000000000000000
χ5422222222-2-2-2-22-2-22222222222-2-2222-2-2-2-2222-2-222-2-22-2-2-2-22-2-222-2-2200000000000000000000000000000000-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ5522222222-2-2-2-22-2-22222222222-2-22-2-22222-2-2-222-2-222-2-2-2-2-2-222-2-222-20000000000000000000000000000000000000000000000000000000000000000000000002-22-22-22-2
χ5622222222-2-2-2-22-2-22222222222-2-22-2-22222-2-2-222-2-222-2-2-2-2-2-222-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000-22-22-22-22
χ5722222222-2-2-2-22-2-222-2-2-2-2-2-2-2-2-2-2222-2-2-2-2222-2-222-2-222222-222-2-222-20000000000000000000000000000000022-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ5822222222-2-2-2-22-2-222-2-2-2-2-2-2-2-2-2-2222-2-2-2-2222-2-222-2-222222-222-2-222-200000000000000000000000000000000-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ5922222222-2-2-2-22-2-222-2-2-2-2-2-2-2-2-2-22-2-22222-2-2-222-2-222-222222-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000002-22-2-22-22
χ6022222222-2-2-2-22-2-222-2-2-2-2-2-2-2-2-2-22-2-22222-2-2-222-2-222-222222-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000-22-222-22-2
χ612222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-22-2-2-2-2-2-2-222222222-222-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ622222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-22-2-2-2-2-2-2-222222222-222-2-2-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ632222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-22-2-2-2-2-2-2-222222222-2-2-2222222-2-2-2-200000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ642222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-22-2-2-2-2-2-2-222222222-2-2-2222222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ652222-2-2-2-222-2-2-2-2-22222-2-2-2-22222-22222-2-2-2-2-2-2-22222-22-2-2222-2-2-2-22200000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ662222-2-2-2-222-2-2-2-2-22222-2-2-2-22222-22222-2-2-2-2-2-2-22222-22-2-2222-2-2-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ672222-2-2-2-222-2-2-2-2-22222-2-2-2-22222-2-2-2-2-22222222-2-2-2-222-2-22-2-22222-2-2000000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ682222-2-2-2-222-2-2-2-2-22222-2-2-2-22222-2-2-2-2-22222222-2-2-2-222-2-22-2-22222-2-200000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ692222-2-2-2-222-2-2-2-2-222-2-22222-2-222-22222-2-2-2-2-2-2-22222-2-222-2-2-22222-2-200000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ702222-2-2-2-222-2-2-2-2-222-2-22222-2-222-22222-2-2-2-2-2-2-22222-2-222-2-2-22222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).