Finite Group Databasebeta

← Group #72318842

Character table — Group #72318842

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109
size11112222222222222222444444444444444444444448888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222222244444422444444444444444444444224488888888888888882222224444444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-11111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1
χ911111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111-1-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1211111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-11111-1-11-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1311111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1411111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-111-11-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1511111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-1-111-11-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1611111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-11111-1-11111-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ171111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-11-1-111-1-11111111111-1-1-1-11111-1-1-1-1-111-11-1-1-11-11-11-11-1-111-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-11-1-111-1-11111111111-1-1-1-11111-1-1-1-1-11-11-11-1-1-11-11-11-11-11-11-11-1-111-1-11111-1-111-1-1-1-111-1-111
χ191111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-11-1-111-1-1111111-1-1-1-11111-1-1-1-11111-111-11-1-1-11-11-1-11-11-11-11-1111-1-111-1-1-1-111-1-111-1-111-1-111
χ201111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-11-1-111-1-1111111-1-1-1-11111-1-1-1-11111-11-11-11-1-1-11-111-11-1-111-11-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ211111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-1111-11-11-11-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-111
χ221111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11-1111-11-11-11-111-1-11-1111-1-111-1-1-1-111-1-11111-1-111-1-1
χ231111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-11-1111-11-1-11-111-1-11-11-1-111-1-11111-1-111-1-111-1-111-1-1
χ241111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-1111-11-111-11-11-11-11-111-1-111-1-111-1-111-1-1-1-111-1-111
χ251111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11-1-11111-1-111-1-11-1-11-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ261111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-111-111-111-1-111-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ271111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11-1-11111-1-11-111-1-1-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ281111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-111-111-111-11-1-11-1-11-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111
χ291111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-11-1-111-1-11111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ301111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-1-1-1-111-1-111-111-111-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ311111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11-1-11-1-11-111-111-111-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ321111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1-1-1-111-11-1-11111-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ3322222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-20000000000000000000000000000000000000000002-22-22-22-20000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2000000000000000000000000000000000000000000-22-22-22-220000000000000000
χ35222222222222222222-2-2222-222-2-222-2-2-2-2-2-2-2-2-2-2-22-20000000000000000000000222-200-2-2-220000000000000000000000000000000000
χ36222222222222222222-2-2222-222-2-222-2-2-2-2-2-2-2-2-2-2-22-20000000000000000000000-2-2-2200222-20000000000000000000000000000000000
χ37222222222222222222-2-2-2-2-22-2-222-2-222-2-2-2-2-2-2-222-2222-2-200000000000000002200002-200000000-2-20000000000000000000000000000
χ38222222222222222222-2-2-2-2-22-2-222-2-222-2-2-2-2-2-2-222-22-2-2220000000000000000-2-20000-2200000000220000000000000000000000000000
χ3922222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-22222-2-2222-2-222-2-20000000000000000000000000000000000000000002-22-2-22-220000000000000000
χ4022222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-22222-2-2222-2-222-2-2000000000000000000000000000000000000000000-22-222-22-20000000000000000
χ4122222222-2-2-2-222-2-2-2-2-2-222-22-2-22222-2-222-2-2-222-2-2-2222-2-200000000000000002-20000-2200000000-220000000000000000000000000000
χ4222222222-2-2-2-222-2-2-2-2-2-222-22-2-22222-2-222-2-2-222-2-2-22-2-2220000000000000000-2200002-2000000002-20000000000000000000000000000
χ4322222222-2-2-2-222-2-2-2-2-2-2-2-22-222-2-2-2-22222-2-2-222222-2000000000000000000000022-2200-2-22-20000000000000000000000000000000000
χ4422222222-2-2-2-222-2-2-2-2-2-2-2-22-222-2-2-2-22222-2-2-222222-20000000000000000000000-2-22-20022-220000000000000000000000000000000000
χ45222222-2-222-2-2-2-222-2-2222-22-22-22-22-22-22-2-22-22-22-2-2200000000000000000000000000000000000000000000000000000000002-22-22-22-2
χ46222222-2-222-2-2-2-222-2-2222-22-22-22-22-22-22-2-22-22-22-2-220000000000000000000000000000000000000000000000000000000000-22-22-22-22
χ47222222-2-222-2-2-2-222-2-222-22-22-22-22-22-222-2-22-22-2-222-2000022-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000
χ48222222-2-222-2-2-2-222-2-222-22-22-22-22-22-222-2-22-22-2-222-20000-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000
χ49222222-2-222-2-2-2-222-2-2-2-22-2222-2-222-2-22-222-22-22-22-2-2000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ50222222-2-222-2-2-2-222-2-2-2-22-2222-2-222-2-22-222-22-22-22-2-200000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ51222222-2-222-2-2-2-222-2-2-2-2-22-2-2-222-2-222-2-222-22-222-22200000000000000000000000000000000222-200-2-2-22000000000000000000000000
χ52222222-2-222-2-2-2-222-2-2-2-2-22-2-2-222-2-222-2-222-22-222-22200000000000000000000000000000000-2-2-2200222-2000000000000000000000000
χ53222222-2-2-2-222-2-2-2-222222-2-22-22-222-22-2-22-22-2-222-22-2000022-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000000000
χ54222222-2-2-2-222-2-2-2-222222-2-22-22-222-22-2-22-22-2-222-22-20000-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000000000
χ55222222-2-2-2-222-2-2-2-22222-222-22-22-2-22-22-22-22-2-22-22-2200000000000000000000000000000000000000000000000000000000002-22-2-22-22
χ56222222-2-2-2-222-2-2-2-22222-222-22-22-2-22-22-22-22-2-22-22-220000000000000000000000000000000000000000000000000000000000-22-222-22-2
χ57222222-2-2-2-222-2-2-2-222-2-22-2-2-2-222-22-2-222-22-222-2-22220000000000000000000000000000000022-2200-2-22-2000000000000000000000000
χ58222222-2-2-2-222-2-2-2-222-2-22-2-2-2-222-22-2-222-22-222-2-222200000000000000000000000000000000-2-22-20022-22000000000000000000000000
χ59222222-2-2-2-222-2-2-2-222-2-2-22222-2-22-222-22-22-222-22-2-2-2000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ60222222-2-2-2-222-2-2-2-222-2-2-22222-2-22-222-22-22-222-22-2-2-200000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ612222-2-22222-2-2-2-2-2-222222-2-222-22-2-22-22-22-2-222-22-22-2000022-2-2-2-22222-2-2-2-2220000000000000000000000000000000000000000000000
χ622222-2-22222-2-2-2-2-2-222222-2-222-22-2-22-22-22-2-222-22-22-20000-2-22222-2-2-2-22222-2-20000000000000000000000000000000000000000000000
χ632222-2-22222-2-2-2-2-2-22222-222-2-22-222-22-2-22-2-222-2-22-2200000000000000000000000000000000000000000000000000000000002-2-222-2-22
χ642222-2-22222-2-2-2-2-2-22222-222-2-22-222-22-2-22-2-222-2-22-220000000000000000000000000000000000000000000000000000000000-222-2-222-2
χ652222-2-22222-2-2-2-2-2-222-2-22-2-2-22-2-22-222-22-222-2-22-2222000000000000000000000000000000002-22200-22-2-2000000000000000000000000
χ662222-2-22222-2-2-2-2-2-222-2-22-2-2-22-2-22-222-22-222-2-22-222200000000000000000000000000000000-22-2-2002-222000000000000000000000000
χ672222-2-22222-2-2-2-2-2-222-2-2-2222-222-22-2-222-222-2-222-2-2-2000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ682222-2-22222-2-2-2-2-2-222-2-2-2222-222-22-2-222-222-2-222-2-2-200000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ692222-2-222-2-222-2-222-2-2222-22-2-22-22-22-222-2-2-22-222-2-2200000000000000000000000000000000000000000000000000000000002-2-22-222-2
χ702222-2-222-2-222-2-222-2-2222-22-2-22-22-22-222-2-2-22-222-2-220000000000000000000000000000000000000000000000000000000000-222-22-2-22
χ712222-2-222-2-222-2-222-2-222-22-222-22-22-22-22-2-2-22-22-222-2000022-2-2-2-222-2-22222-2-20000000000000000000000000000000000000000000000
χ722222-2-222-2-222-2-222-2-222-22-222-22-22-22-22-2-2-22-22-222-20000-2-22222-2-222-2-2-2-2220000000000000000000000000000000000000000000000
χ732222-2-222-2-222-2-222-2-2-2-22-222-222-2-222-2-2222-22-2-22-2-2000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ742222-2-222-2-222-2-222-2-2-2-22-222-222-2-222-2-2222-22-2-22-2-200000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ752222-2-222-2-222-2-222-2-2-2-2-22-2-22-2-222-2-22-2222-22-22-222000000000000000000000000000000002-2-2-200-2222000000000000000000000000
χ762222-2-222-2-222-2-222-2-2-2-2-22-2-22-2-222-2-22-2222-22-22-22200000000000000000000000000000000-2222002-2-2-2000000000000000000000000
χ772222-2-2-2-2222222-2-2-2-22222-2-22222-2-2-2-2-2-22-2-22222-2-20000000000000000000000000000000000000000002-2-222-2-220000000000000000
χ782222-2-2-2-2222222-2-2-2-22222-2-22222-2-2-2-2-2-22-2-22222-2-2000000000000000000000000000000000000000000-222-2-222-20000000000000000
χ792222-2-2-2-2222222-2-2-2-2-2-222-2222-2-2-2-22222-222-2-2-2-2-2222-2-20000000000000000-220000-22000000002-20000000000000000000000000000
χ802222-2-2-2-2222222-2-2-2-2-2-222-2222-2-2-2-22222-222-2-2-2-2-22-2-22200000000000000002-200002-200000000-220000000000000000000000000000
χ812222-2-2-2-2222222-2-2-2-2-2-2-2-22-2-2-22222-2-222-222-2-2222-200000000000000000000002-22200-22-2-20000000000000000000000000000000000
χ822222-2-2-2-2222222-2-2-2-2-2-2-2-22-2-2-22222-2-222-222-2-2222-20000000000000000000000-22-2-2002-2220000000000000000000000000000000000
χ832222-2-2-2-2-2-2-2-222222222-2-2-2-222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000002-2-22-222-20000000000000000
χ842222-2-2-2-2-2-2-2-222222222-2-2-2-222222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000-222-22-2-220000000000000000
χ852222-2-2-2-2-2-2-2-2222222-2-2222-2-2-222-2-222-2-2-22222-2-22-200000000000000000000002-2-2-200-22220000000000000000000000000000000000
χ862222-2-2-2-2-2-2-2-2222222-2-2222-2-2-222-2-222-2-2-22222-2-22-20000000000000000000000-2222002-2-2-20000000000000000000000000000000000
χ872222-2-2-2-2-2-2-2-2222222-2-2-2-2-2222-2-222-2-2-2-2-2222222-2222-2-20000000000000000-2-200002-200000000220000000000000000000000000000
χ882222-2-2-2-2-2-2-2-2222222-2-2-2-2-2222-2-222-2-2-2-2-2222222-22-2-2220000000000000000220000-2200000000-2-20000000000000000000000000000
χ8944-4-44-44-44-44-44-44-44-4000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ9044-4-44-44-44-44-44-44-44-400000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ9144-4-44-44-4-44-444-4-44-44000000000000000000000000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ9244-4-44-44-4-44-444-4-44-4400000000000000000000000000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ9344-4-44-4-444-4-44-444-4-44000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000
χ9444-4-44-4-444-4-44-444-4-4400000000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000
χ9544-4-44-4-44-444-4-44-444-4000000000000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000
χ9644-4-44-4-44-444-4-44-444-400000000000000000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000
χ9744-4-4-444-44-4-44-44-444-4000000000000000000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000
χ9844-4-4-444-44-4-44-44-444-400000000000000000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000
χ9944-4-4-444-4-444-4-444-4-44000000000000000000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000
χ10044-4-4-444-4-444-4-444-4-4400000000000000000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000
χ10144-4-4-44-444-44-44-4-44-44000000000000000000000000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ10244-4-4-44-444-44-44-4-44-4400000000000000000000000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ10344-4-4-44-44-44-444-44-44-4000000000000000000000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ10444-4-4-44-44-44-444-44-44-400000000000000000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ1058-88-8000000000000008i−8i000000000000000000000004-44i−4i00000000000000000000000000000000000000000000000000000000000000
χ1068-88-8000000000000008i−8i00000000000000000000000-44−4i4i00000000000000000000000000000000000000000000000000000000000000
χ1078-88-800000000000000−8i8i000000000000000000000004-4−4i4i00000000000000000000000000000000000000000000000000000000000000
χ1088-88-800000000000000−8i8i00000000000000000000000-444i−4i00000000000000000000000000000000000000000000000000000000000000
χ10916-16-1616000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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