Finite Group Databasebeta

← Group #72240547

Character table — Group #72240547

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111222222222222222222222222222222888888888888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232
order12222222222222222222222222222222222222222222222222222222222222444444444444444444444444444422224444444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-11111
χ911111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ1011111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-111
χ1111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111
χ1211111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ1311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1
χ1411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ1511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-111
χ1611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-11111-1-111-1-1
χ171111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111
χ181111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1111111-1-111-1-1-1-1
χ191111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ201111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1111111-1-1-1-111
χ211111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ221111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1
χ231111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ241111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111
χ251111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-11111-1-111-1-1
χ261111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-111
χ271111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111
χ281111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-11111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1
χ291111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-111-1-1-1-1111111-1-1-1-1
χ301111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111
χ321111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1111111-1-1
χ3322222222222-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2000022220000000022-2-2000022-2-20000-2-2-2-20000000022-2-2000022-2-2000000002i2i−2i−2i2i2i−2i−2i0000000000000000002i−2i002i−2i0000000000000000000000
χ3422222222222-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2000022220000000022-2-2000022-2-20000-2-2-2-20000000022-2-2000022-2-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000−2i2i00−2i2i0000000000000000000000
χ3522222222222-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-20000222200000000-2-2220000-2-2220000-2-2-2-200000000-2-2220000-2-222000000002i2i−2i−2i2i2i−2i−2i000000000000000000−2i2i00−2i2i0000000000000000000000
χ3622222222222-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-20000222200000000-2-2220000-2-2220000-2-2-2-200000000-2-2220000-2-22200000000−2i−2i2i2i−2i−2i2i2i0000000000000000002i−2i002i−2i0000000000000000000000
χ3722222222222-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-20000000022-2-20000-2-222000022220000000022-2-20000-2-222000000002i2i−2i−2i−2i−2i2i2i0000000000000000002i−2i00−2i2i0000000000000000000000
χ3822222222222-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-20000000022-2-20000-2-222000022220000000022-2-20000-2-22200000000−2i−2i2i2i2i2i−2i−2i000000000000000000−2i2i002i−2i0000000000000000000000
χ3922222222222-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000-2-222000022-2-20000222200000000-2-222000022-2-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000−2i2i002i−2i0000000000000000000000
χ4022222222222-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000-2-222000022-2-20000222200000000-2-222000022-2-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000002i−2i00−2i2i0000000000000000000000
χ412222222-2-2-2-22222-2222-2-2-2-22222-2-2-2-2-2-2-2000022-2-20000000022-2-200002222000022-2-200000000-2-2220000-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000002i−2i2i−2i000000000000000000
χ422222222-2-2-2-22222-2222-2-2-2-22222-2-2-2-2-2-2-2000022-2-20000000022-2-200002222000022-2-200000000-2-2220000-2-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i2i−2i2i000000000000000000
χ432222222-2-2-2-22222-2222-2-2-2-22222-2-2-2-2-2-2-2000022-2-200000000-2-2220000-2-2-2-2000022-2-20000000022-2-20000222200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000002i−2i−2i2i000000000000000000
χ442222222-2-2-2-22222-2222-2-2-2-22222-2-2-2-2-2-2-2000022-2-200000000-2-2220000-2-2-2-2000022-2-20000000022-2-2000022220000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000−2i2i2i−2i000000000000000000
χ452222222-2-2-2-22222-2222-2-2-2-22222-2-2-2-2-2-2-20000-2-2220000000022-2-20000-2-2-2-20000-2-22200000000-2-2220000222200000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000−2i2i−2i2i000000000000000000
χ462222222-2-2-2-22222-2222-2-2-2-22222-2-2-2-2-2-2-20000-2-2220000000022-2-20000-2-2-2-20000-2-22200000000-2-222000022220000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000002i−2i2i−2i000000000000000000
χ472222222-2-2-2-22222-2222-2-2-2-22222-2-2-2-2-2-2-20000-2-22200000000-2-222000022220000-2-2220000000022-2-20000-2-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000−2i2i2i−2i000000000000000000
χ482222222-2-2-2-22222-2222-2-2-2-22222-2-2-2-2-2-2-20000-2-22200000000-2-222000022220000-2-2220000000022-2-20000-2-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000002i−2i−2i2i000000000000000000
χ492222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222000022-2-2000000002222000022-2-20000-2-22200000000-2-2-2-20000-2-222000022-2-2000000000000000022-2-20000000000000000002-22-2000000000000
χ502222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222000022-2-2000000002222000022-2-20000-2-22200000000-2-2-2-20000-2-2220000-2-2220000000000000000-2-222000000000000000000-22-22000000000000
χ512222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222000022-2-200000000-2-2-2-20000-2-2220000-2-222000000002222000022-2-2000022-2-20000000000000000-2-2220000000000000000002-2-22000000000000
χ522222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222000022-2-200000000-2-2-2-20000-2-2220000-2-222000000002222000022-2-20000-2-222000000000000000022-2-2000000000000000000-222-2000000000000
χ532222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222220000-2-2220000000022220000-2-222000022-2-200000000-2-2-2-2000022-2-2000022-2-20000000000000000-2-222000000000000000000-222-2000000000000
χ542222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222220000-2-2220000000022220000-2-222000022-2-200000000-2-2-2-2000022-2-20000-2-222000000000000000022-2-20000000000000000002-2-22000000000000
χ552222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222220000-2-22200000000-2-2-2-2000022-2-2000022-2-20000000022220000-2-222000022-2-2000000000000000022-2-2000000000000000000-22-22000000000000
χ562222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222220000-2-22200000000-2-2-2-2000022-2-2000022-2-20000000022220000-2-2220000-2-2220000000000000000-2-2220000000000000000002-22-2000000000000
χ572-2-2222-2222222-2-222-2-2-2-2-2-222-2-222-22-2-2-222-2-20000000022-2-22-22-20000000022-2-20000000022-2-22-22-20000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000002i−2i2i−2i0000
χ582-2-2222-2222222-2-222-2-2-2-2-2-222-2-222-22-2-2-222-2-20000000022-2-22-22-20000000022-2-20000000022-2-22-22-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000−2i2i−2i2i0000
χ592-2-2222-2222222-2-222-2-2-2-2-2-222-2-222-22-2-2-222-2-200000000-2-222-22-220000000022-2-200000000-2-222-22-220000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000002i−2i−2i2i0000
χ602-2-2222-2222222-2-222-2-2-2-2-2-222-2-222-22-2-2-222-2-200000000-2-222-22-220000000022-2-200000000-2-222-22-22000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000−2i2i2i−2i0000
χ612-2-2222-2222222-2-222-2-2-2-2-2-222-2-222-22-2-2-2-2-2220000000022-2-2-22-2200000000-2-2220000000022-2-2-22-220000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000−2i2i2i−2i0000
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Here i is the imaginary unit (i² = −1).