Finite Group Databasebeta

← Group #72256607

Character table — Group #72256607

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1111222222222222224444444444444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222222222222222222222222222444444442222222244444444222244444444444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1111-111-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-111-11-1-111-1-1-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1-1-111111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1111-1-111-1111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-11111111-111-1-1-1-11-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-1111111-11-1-111-1-1-11-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1511111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11-1-1-111111-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1611111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1111-1-111-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ171111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-1111-1-111-1-111-1-111-1-11-1111-11-11-1-1-11-11-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-1111-1-111-1-111-1-111-1-11-1-1-1-11-111-111-11-111-11-1-11-1111-1-111-1-1-1-111-1-111-1-111-1-111
χ191111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-1111-1-111-1-111-1-111-1-1-1111-11-11-11-1-1-11-11-11-111-11-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ201111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-1111-1-111-1-111-1-111-1-1-11-1-11-11-1-11111-11-1-11-11-11-11-1-111-1-11111-1-111-1-1-1-111-1-111
χ211111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11-1-111-1-111-1-111-1-1111-1111-11-11-1-1-11-11-11-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-111
χ221111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11-1-111-1-111-1-111-1-1111-1-1-1-11-111-111-11-111-11-1-11-11-1-111-1-11111-1-111-1-111-1-111-1-1
χ231111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11-1-111-1-111-1-111-1-111-1111-11-11-11-1-1-11-11-11-111-11-111-1-111-1-111-1-111-1-1-1-111-1-111
χ241111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11-1-111-1-111-1-111-1-111-11-1-11-11-1-11111-11-1-11-11-11-1111-1-111-1-1-1-111-1-11111-1-111-1-1
χ251111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1111-11-11-1-11-11-111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ261111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-11-111-1-111-1-111-11-1-11-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ271111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-111-111-1-111-11-1-11-111-1-111-11-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111
χ281111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-111-11-111-1-111-11-11-1-11-111-1-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ291111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-11111-1-1-1-11111-1-11-11-11-1-11-11-111-1-111-1-111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ301111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-11111-1-1-1-11111-1-11-1-11-111-1-111-1-111-11-1-11-111-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ311111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-11111-1-1-1-11111-1-1-111-1-111-11-1-11-111-1-111-11-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ321111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-11111-1-1-1-11111-1-1-11-111-1-111-11-11-1-11-111-1-111-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ332222222222222222222-222-2-222-2-222-2-22-2-2-2-2-2-2-2-2-20000000000000000000022220000-2-2-2-200000000000000000000000000000000
χ342222222222222222222-222-2-222-2-222-2-22-2-2-2-2-2-2-2-2-200000000000000000000-2-2-2-20000222200000000000000000000000000000000
χ35222222222222222222-22-2-222-2-222-2-222-22-2-2-2-2-2-2-2-200000000000000002200000022000000-2-2-2-20000000000000000000000000000
χ36222222222222222222-22-2-222-2-222-2-222-22-2-2-2-2-2-2-2-20000000000000000-2-2000000-2-200000022220000000000000000000000000000
χ37222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000220000002200000000-2-2-2-2000000000000000000000000
χ38222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000-2-2000000-2-2000000002222000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2222-222-2-2-2-222-2-2222-2-2-2-22222-20000000000000000000022-2-20000-2-22200000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2222-222-2-2-2-222-2-2222-2-2-2-22222-200000000000000000000-2-222000022-2-200000000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-222-22-2-22222-2-222-2-2-22-2-2-22222-2000000000000000022000000-2-2000000-2-2220000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-222-22-2-22222-2-222-2-2-22-2-2-22222-20000000000000000-2-20000002200000022-2-20000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222222222-2-2222-2-2-2-220000000000000000002-20000002-200000000-2-222000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222222222-2-2222-2-2-2-22000000000000000000-22000000-220000000022-2-2000000000000000000000000
χ452222-2-2-2-22222-2-2-2-2222-2-2-22222-2-2-2-2222-2-222-2-222-2000000000000000000002-22-20000-22-2200000000000000000000000000000000
χ462222-2-2-2-22222-2-2-2-2222-2-2-22222-2-2-2-2222-2-222-2-222-200000000000000000000-22-2200002-22-200000000000000000000000000000000
χ472222-2-2-2-22222-2-2-2-222-2222-2-2-2-22222-2-2-22-222-2-222-200000000000000002-20000002-2000000-22-220000000000000000000000000000
χ482222-2-2-2-22222-2-2-2-222-2222-2-2-2-22222-2-2-22-222-2-222-20000000000000000-22000000-220000002-22-20000000000000000000000000000
χ492222-2-2-2-22222-2-2-2-222-2-22222-2-2-2-22222-2-22-2-222-2-2200000000000000000022000000-2-200000000-22-22000000000000000000000000
χ502222-2-2-2-22222-2-2-2-222-2-22222-2-2-2-22222-2-22-2-222-2-22000000000000000000-2-200000022000000002-22-2000000000000000000000000
χ512222-2-2-2-2-2-2-2-22222222-2-2-222-2-22222-2-22-2-22222-2-2-2000000000000000000002-2-220000-222-200000000000000000000000000000000
χ522222-2-2-2-2-2-2-2-22222222-2-2-222-2-22222-2-22-2-22222-2-2-200000000000000000000-222-200002-2-2200000000000000000000000000000000
χ532222-2-2-2-2-2-2-2-2222222-2222-2-222-2-2-2-222-22-22222-2-2-200000000000000002-2000000-22000000-222-20000000000000000000000000000
χ542222-2-2-2-2-2-2-2-2222222-2222-2-222-2-2-2-222-22-22222-2-2-20000000000000000-220000002-20000002-2-220000000000000000000000000000
χ552222-2-2-2-2-2-2-2-2222222-2-222222222-2-2-2-2-2-22-2-2-2-22220000000000000000002-2000000-2200000000-222-2000000000000000000000000
χ562222-2-2-2-2-2-2-2-2222222-2-222222222-2-2-2-2-2-22-2-2-2-2222000000000000000000-220000002-2000000002-2-22000000000000000000000000
χ572-2-2222-2-222-2-222-2-2-22222-22-22-22-22-22-2-2-222-22-22-2-20000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ582-2-2222-2-222-2-222-2-2-22222-22-22-22-22-22-2-2-222-22-22-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ592-2-2222-2-222-2-222-2-2-222-22-2-222-2-222-2-22-22-2-22-22-2222-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000000000
χ602-2-2222-2-222-2-222-2-2-222-22-2-222-2-222-2-22-22-2-22-22-222-22-22-22-22-22-22-22-22000000000000000000000000000000000000000000000000
χ612-2-2222-2-222-2-222-2-2-22-22-222-2-222-2-222-22-2-2-22-22-222000000000000000000000000000000000000000000000000000000002-22-22-22-2
χ622-2-2222-2-222-2-222-2-2-22-22-222-2-222-2-222-22-2-2-22-22-22200000000000000000000000000000000000000000000000000000000-22-22-22-22
χ632-2-2222-2-222-2-222-2-2-22-2-2-22-22-22-22-22-222222-22-22-2-200000000000000000000000000000000000000002-22-22-22-20000000000000000
χ642-2-2222-2-222-2-222-2-2-22-2-2-22-22-22-22-22-222222-22-22-2-20000000000000000000000000000000000000000-22-22-22-220000000000000000
χ652-2-2222-2-2-2-222-2-222-22222-22-2-22-22-22-22-2-222-2-22-22-20000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ662-2-2222-2-2-2-222-2-222-22222-22-2-22-22-22-22-2-222-2-22-22-2000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ672-2-2222-2-2-2-222-2-222-222-22-2-22-222-2-222-2-22-2-222-22-222-22-2-22-222-22-2-22-22000000000000000000000000000000000000000000000000
χ682-2-2222-2-2-2-222-2-222-222-22-2-22-222-2-222-2-22-2-222-22-22-22-222-22-2-22-222-22-2000000000000000000000000000000000000000000000000
χ692-2-2222-2-2-2-222-2-222-22-22-222-22-2-222-2-222-2-2-222-22-22000000000000000000000000000000000000000000000000000000002-22-2-22-22
χ702-2-2222-2-2-2-222-2-222-22-22-222-22-2-222-2-222-2-2-222-22-2200000000000000000000000000000000000000000000000000000000-22-222-22-2
χ712-2-2222-2-2-2-222-2-222-22-2-2-22-222-22-22-22-22222-2-22-22-200000000000000000000000000000000000000002-22-2-22-220000000000000000
χ722-2-2222-2-2-2-222-2-222-22-2-2-22-222-22-22-22-22222-2-22-22-20000000000000000000000000000000000000000-22-222-22-20000000000000000
χ732-2-22-2-22222-2-2-2-222-2222-22-222-22-2-22-22-2-22-222-2-22-20000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ742-2-22-2-22222-2-2-2-222-2222-22-222-22-2-22-22-2-22-222-2-22-2000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ752-2-22-2-22222-2-2-2-222-222-2-222-22-2-22-222-2-22-22-2-222-222-2-222-2-222-2-222-2-22000000000000000000000000000000000000000000000000
χ762-2-22-2-22222-2-2-2-222-222-2-222-22-2-22-222-2-22-22-2-222-22-222-2-222-2-222-2-222-2000000000000000000000000000000000000000000000000
χ772-2-22-2-22222-2-2-2-222-22-222-2-22-222-22-2-222-2-22-2-222-22000000000000000000000000000000000000000000000000000000002-2-222-2-22
χ782-2-22-2-22222-2-2-2-222-22-222-2-22-222-22-2-222-2-22-2-222-2200000000000000000000000000000000000000000000000000000000-222-2-222-2
χ792-2-22-2-22222-2-2-2-222-22-2-22-22-2-22-222-22-2222-222-2-22-200000000000000000000000000000000000000002-2-222-2-220000000000000000
χ802-2-22-2-22222-2-2-2-222-22-2-22-22-2-22-222-22-2222-222-2-22-20000000000000000000000000000000000000000-222-2-222-20000000000000000
χ812-2-22-2-222-2-22222-2-2-2222-22-22-22-222-22-2-2-22-22-222-2-20000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ822-2-22-2-222-2-22222-2-2-2222-22-22-22-222-22-2-2-22-22-222-2-2000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ832-2-22-2-222-2-22222-2-2-222-2-222-2-222-22-2-22-22-22-22-2-2222-2-22-222-22-2-22-222-2000000000000000000000000000000000000000000000000
χ842-2-22-2-222-2-22222-2-2-222-2-222-2-222-22-2-22-22-22-22-2-222-222-22-2-22-222-22-2-22000000000000000000000000000000000000000000000000
χ852-2-22-2-222-2-22222-2-2-22-222-2-222-2-22-222-22-2-22-22-2-222000000000000000000000000000000000000000000000000000000002-2-22-222-2
χ862-2-22-2-222-2-22222-2-2-22-222-2-222-2-22-222-22-2-22-22-2-22200000000000000000000000000000000000000000000000000000000-222-22-2-22
χ872-2-22-2-222-2-22222-2-2-22-2-22-22-22-22-2-22-22222-22-222-2-200000000000000000000000000000000000000002-2-22-222-20000000000000000
χ882-2-22-2-222-2-22222-2-2-22-2-22-22-22-22-2-22-22222-22-222-2-20000000000000000000000000000000000000000-222-22-2-220000000000000000
χ8944444-44-44-44-44-44-4-4-400000000000000000000000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ9044444-44-44-44-44-44-4-4-4000000000000000000000000-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ9144444-44-4-44-44-44-44-4-40000000000000000000000002222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ9244444-44-4-44-44-44-44-4-4000000000000000000000000-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ934444-44-444-44-4-44-44-4-400000000000000000000000022-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000
χ944444-44-444-44-4-44-44-4-4000000000000000000000000-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
χ954444-44-44-44-444-44-4-4-400000000000000000000000022-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ964444-44-44-44-444-44-4-4-4000000000000000000000000-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
χ974-4-444-4-444-4-444-4-444-40000000000000000000000002-22-22-22-2-22-22-22-22000000000000000000000000000000000000000000000000
χ984-4-444-4-444-4-444-4-444-4000000000000000000000000-22-22-22-222-22-22-22-2000000000000000000000000000000000000000000000000
χ994-4-444-4-44-444-4-444-44-40000000000000000000000002-22-2-22-22-22-222-22-2000000000000000000000000000000000000000000000000
χ1004-4-444-4-44-444-4-444-44-4000000000000000000000000-22-222-22-22-22-2-22-22000000000000000000000000000000000000000000000000
χ1014-4-44-444-44-4-44-444-44-40000000000000000000000002-2-222-2-22-222-2-222-2000000000000000000000000000000000000000000000000
χ1024-4-44-444-44-4-44-444-44-4000000000000000000000000-222-2-222-22-2-222-2-22000000000000000000000000000000000000000000000000
χ1034-4-44-444-4-444-44-4-444-40000000000000000000000002-2-22-222-2-222-22-2-22000000000000000000000000000000000000000000000000
χ1044-4-44-444-4-444-44-4-444-4000000000000000000000000-222-22-2-222-2-22-222-2000000000000000000000000000000000000000000000000
χ1051616-16-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10616-1616-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).