Finite Group Databasebeta

← Group #154191

Character table — Group #154191

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111111111111111111111111111222222222222222244444444444444444444444444444444444444444444444488888888888888888888888888888888
order12222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ911111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ17111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ18111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ19111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ20111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ21111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ22111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ23111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ24111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ25111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ26111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ27111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ28111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ29111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ30111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ31111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ32111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ3322222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000022-2-222-2-222-2-222-2-200000000000000000000000000000000
χ3422222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ3522222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000022-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ3622222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ3722222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2222222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000022-2-2-2-22222-2-2-2-22200000000000000000000000000000000
χ3822222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2222222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ3922222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-222222222-2-2-2-222222222-2-2-2-20000000000000000000000000000000022-2-2-2-222-2-22222-2-200000000000000000000000000000000
χ4022222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-222222222-2-2-2-222222222-2-2-2-200000000000000000000000000000000-2-22222-2-222-2-2-2-22200000000000000000000000000000000
χ41222-2-222-2-22222-2-2-2-22-2-222-2-22222-2-2-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000022-2-222-2-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ42222-2-222-2-22222-2-2-2-22-2-222-2-22222-2-2-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000-2-222-2-222−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ43222-2-222-2-22222-2-2-2-22-2-222-2-22222-2-2-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000022-2-222-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ44222-2-222-2-22222-2-2-2-22-2-222-2-22222-2-2-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000-2-222-2-2222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ45222-2-222-2-2-2-2-2-222222-2-222-2-2-2-2-2-222220000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000022-2-2-2-2222i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000
χ46222-2-222-2-2-2-2-2-222222-2-222-2-2-2-2-2-222220000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000-2-22222-2-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000
χ47222-2-222-2-2-2-2-2-222222-2-222-2-2-2-2-2-22222000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000022-2-2-2-222−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000
χ48222-2-222-2-2-2-2-2-222222-2-222-2-2-2-2-2-22222000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000-2-22222-2-22i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000
χ49222-2-2-2-2222222-2-2-2-22-2-2-2-222-2-2-2-2222200000000000000002i2i−2i−2i2i2i−2i−2i0000000022-2-222-2-2000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ50222-2-2-2-2222222-2-2-2-22-2-2-2-222-2-2-2-2222200000000000000002i2i−2i−2i2i2i−2i−2i00000000-2-222-2-22200000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ51222-2-2-2-2222222-2-2-2-22-2-2-2-222-2-2-2-222220000000000000000−2i−2i2i2i−2i−2i2i2i0000000022-2-222-2-200000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ52222-2-2-2-2222222-2-2-2-22-2-2-2-222-2-2-2-222220000000000000000−2i−2i2i2i−2i−2i2i2i00000000-2-222-2-222000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ53222-2-2-2-222-2-2-2-222222-2-2-2-2222222-2-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i0000000022-2-2-2-222000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000
χ54222-2-2-2-222-2-2-2-222222-2-2-2-2222222-2-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000-2-22222-2-200000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000
χ55222-2-2-2-222-2-2-2-222222-2-2-2-2222222-2-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000022-2-2-2-22200000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000
χ56222-2-2-2-222-2-2-2-222222-2-2-2-2222222-2-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000-2-22222-2-2000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000
χ5722-22-222-2-222-2-222-2-2-22-2-2-22222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000002-22-22i−2i2i−2i
χ5822-22-222-2-222-2-222-2-2-22-2-2-22222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000-22-22−2i2i−2i2i
χ5922-22-222-2-222-2-222-2-2-22-2-2-22222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000002-22-2−2i2i−2i2i
χ6022-22-222-2-222-2-222-2-2-22-2-2-22222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000-22-222i−2i2i−2i
χ6122-22-222-2-2-2-222-2-222-22-2-2-222-2-222-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i-222-2
χ6222-22-222-2-2-2-222-2-222-22-2-2-222-2-222-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i2-2-22
χ6322-22-222-2-2-2-222-2-222-22-2-2-222-2-222-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i2-2-22
χ6422-22-222-2-2-2-222-2-222-22-2-2-222-2-222-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i-222-2
χ6522-22-2-2-22222-2-222-2-2-22-222-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000002i−2i2i−2i2-22-2000000000000000000000000
χ6622-22-2-2-22222-2-222-2-2-22-222-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000−2i2i−2i2i-22-22000000000000000000000000
χ6722-22-2-2-22222-2-222-2-2-22-222-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000002i−2i2i−2i-22-22000000000000000000000000
χ6822-22-2-2-22222-2-222-2-2-22-222-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000−2i2i−2i2i2-22-2000000000000000000000000
χ6922-22-2-2-222-2-222-2-222-22-222-2-222-2-222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000002-2-22−2i2i2i−2i000000000000000000000000
χ7022-22-2-2-222-2-222-2-222-22-222-2-222-2-222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000-222-22i−2i−2i2i000000000000000000000000
χ7122-22-2-2-222-2-222-2-222-22-222-2-222-2-222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000002-2-222i−2i−2i2i000000000000000000000000
χ7222-22-2-2-222-2-222-2-222-22-222-2-222-2-222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000-222-2−2i2i2i−2i000000000000000000000000
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χ1162-2-222-222-22-2-222-2-222-2-22-2-22-222-2-222-2−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i2-22-200000000
χ1172-2-222-222-2-222-2-222-22-2-22-2-222-2-222-2-222i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000002-2-22−2i2i2i−2i00000000
χ1182-2-222-222-2-222-2-222-22-2-22-2-222-2-222-2-222i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000-222-22i−2i−2i2i00000000
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χ1202-2-222-222-2-222-2-222-22-2-22-2-222-2-222-2-22−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000-222-2−2i2i2i−2i00000000
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χ12344-4-44-4-4-4-444-4-4-4-444-4-444444-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12444-4-44-4-4-4-4-4-44444-4-4-4-44444444-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1284-4-4-4-4-44-44-444-44-4-444444-44-44-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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