Finite Group Databasebeta

← Group #72331660

Character table — Group #72331660

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size11112222222222222222222222222244444444444444444444444444888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232
order12222222222222222222222222222222222222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111
χ511111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ9111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ10111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ12111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ13111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ14111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ15111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ16111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ1711111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-11-1111-1-1-1111-1-1-1111-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1811111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-11-1111-1-1-1111-1-1-1111-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ1911111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11-11111-1-1-1-1-1-1111-1-1-1111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−iii
χ2011111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11-11111-1-1-1-1-1-1111-1-1-1111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−i
χ2111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-11-1-1-1111111-1-1-1-1-1-1111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ2211111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-11-1-1-1111111-1-1-1-1-1-1111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ2311111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-111-1-1-1-1111-1-1-1111111-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ2411111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-111-1-1-1-1111-1-1-1111111-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ2511111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-11-11-1111-1-1-1111-1-1-1111-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i
χ2611111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-11-11-1111-1-1-1111-1-1-1111-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111-1-111−i−iiiii−i−iii−i−i−i−iii
χ2711111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-11-11111-1-1-1-1-1-1111-1-1-1111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-111-1-1−i−iiiii−i−iii−i−i−i−iii
χ2811111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-11-11111-1-1-1-1-1-1111-1-1-1111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ2911111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-111-1-11-1-1-1111111-1-1-1-1-1-1111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii
χ3011111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-111-1-11-1-1-1111111-1-1-1-1-1-1111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i
χ3111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-11-111-1-1-1-1111-1-1-1111111-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ3211111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-11-111-1-1-1-1111-1-1-1111111-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ332222222222222-2-2-2-2-222-2-2-2-222-2-22-22222-2-2-2-2-2-22222-200000000-2-2-20000000000000000220000000000002-2-22-2-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000002i−2i2i−2i000000000000
χ342222222222222-2-2-2-2-222-2-2-2-222-2-22-22222-2-2-2-2-2-22222-200000000-2-2-20000000000000000220000000000002-2-22-2-20000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000−2i2i−2i2i000000000000
χ352222222222222-2-2-2-2-222-2-2-2-222-2-22-22222-2-2-2-2-2-22222-200000000-2-2-20000000000000000-2-2000000000000-222-22200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i−2i2i000000000000
χ362222222222222-2-2-2-2-222-2-2-2-222-2-22-22222-2-2-2-2-2-22222-200000000-2-2-20000000000000000-2-2000000000000-222-2220000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i2i−2i000000000000
χ3722222222222-2-222-2-2-2-2-222-2-222-2-22-22-2-2-2222-2-2-22-2-2-2-200000000222000000000000002-2000000002-2-222-200000000000000000000000000000022-2-222-2-200000000000000002-22-200000000
χ3822222222222-2-222-2-2-2-2-222-2-222-2-22-22-2-2-2222-2-2-22-2-2-2-200000000222000000000000002-2000000002-2-222-2000000000000000000000000000000-2-222-2-2220000000000000000-22-2200000000
χ3922222222222-2-222-2-2-2-2-222-2-222-2-22-22-2-2-2222-2-2-22-2-2-2-20000000022200000000000000-2200000000-222-2-2200000000000000000000000000000022-2-222-2-20000000000000000-22-2200000000
χ4022222222222-2-222-2-2-2-2-222-2-222-2-22-22-2-2-2222-2-2-22-2-2-2-20000000022200000000000000-2200000000-222-2-22000000000000000000000000000000-2-222-2-22200000000000000002-22-200000000
χ4122222222-2-2-222-2-2222-2-222-2-2-2-222-222-2-2-2222-2-2-2-2222200000000-2-2-20000000000000022000000002-2-2-2-220000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000002i−2i−2i2i00000000
χ4222222222-2-2-222-2-2222-2-222-2-2-2-222-222-2-2-2222-2-2-2-2222200000000-2-2-20000000000000022000000002-2-2-2-22000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000−2i2i2i−2i00000000
χ4322222222-2-2-222-2-2222-2-222-2-2-2-222-222-2-2-2222-2-2-2-2222200000000-2-2-200000000000000-2-200000000-22222-20000000000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000−2i2i2i−2i00000000
χ4422222222-2-2-222-2-2222-2-222-2-2-2-222-222-2-2-2222-2-2-2-2222200000000-2-2-200000000000000-2-200000000-22222-2000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000002i−2i−2i2i00000000
χ4522222222-2-2-2-2-22222222-2-2-2-2-2-222-222222-2-2-2-2-2-2-2-2-2-220000000022200000000000000002-20000000000002-2-2-222000000000000000022-2-2-2-222000000000000000000002-2-22000000000000
χ4622222222-2-2-2-2-22222222-2-2-2-2-2-222-222222-2-2-2-2-2-2-2-2-2-220000000022200000000000000002-20000000000002-2-2-2220000000000000000-2-22222-2-200000000000000000000-222-2000000000000
χ4722222222-2-2-2-2-22222222-2-2-2-2-2-222-222222-2-2-2-2-2-2-2-2-2-22000000002220000000000000000-22000000000000-2222-2-2000000000000000022-2-2-2-22200000000000000000000-222-2000000000000
χ4822222222-2-2-2-2-22222222-2-2-2-2-2-222-222222-2-2-2-2-2-2-2-2-2-22000000002220000000000000000-22000000000000-2222-2-20000000000000000-2-22222-2-2000000000000000000002-2-22000000000000
χ49222222-2-222-2222222-2-2-2-2-22222-2-2-2-2-222-222-22-2-2-22-2-22000000002-2-20000000000002200002-2-22-2-20000000000002i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000
χ50222222-2-222-2222222-2-2-2-2-22222-2-2-2-2-222-222-22-2-2-22-2-22000000002-2-20000000000002200002-2-22-2-2000000000000−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000
χ51222222-2-222-2222222-2-2-2-2-22222-2-2-2-2-222-222-22-2-2-22-2-22000000002-2-2000000000000-2-20000-222-2220000000000002i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000
χ52222222-2-222-2222222-2-2-2-2-22222-2-2-2-2-222-222-22-2-2-22-2-22000000002-2-2000000000000-2-20000-222-222000000000000−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000
χ53222222-2-222-222-2-2-2-22-2-222-2-22222-22-222-2-2-22-222-22-2-2-200000000-222000000000000002200000000-22-22-2-200000000000000000000002-2-222-2-22000000000000000000000000000000002-22-2
χ54222222-2-222-222-2-2-2-22-2-222-2-22222-22-222-2-2-22-222-22-2-2-200000000-222000000000000002200000000-22-22-2-20000000000000000000000-222-2-222-200000000000000000000000000000000-22-22
χ55222222-2-222-222-2-2-2-22-2-222-2-22222-22-222-2-2-22-222-22-2-2-200000000-22200000000000000-2-2000000002-22-22200000000000000000000002-2-222-2-2200000000000000000000000000000000-22-22
χ56222222-2-222-222-2-2-2-22-2-222-2-22222-22-222-2-2-22-222-22-2-2-200000000-22200000000000000-2-2000000002-22-2220000000000000000000000-222-2-222-2000000000000000000000000000000002-22-2
χ57222222-2-222-2-2-2-2-222-222222222-2-2-2-2-2-2-22-2-222-2-2-2-222222222222-22222-2-2-2-222-2-2-2-2002-200000000-2-222-220000000000000000000000000000000000000000002-22-200000000000000000000
χ58222222-2-222-2-2-2-2-222-222222222-2-2-2-2-2-2-22-2-222-2-2-2-222222222222-22222-2-2-2-222-2-2-2-200-220000000022-2-22-2000000000000000000000000000000000000000000-22-2200000000000000000000
χ59222222-2-222-2-2-2-2-222-222222222-2-2-2-2-2-2-22-2-222-2-2-2-2222-2-2-2-2-2-2-2-2-222-2-22222-2-22222002-200000000-2-222-22000000000000000000000000000000000000000000-22-2200000000000000000000
χ60222222-2-222-2-2-2-2-222-222222222-2-2-2-2-2-2-22-2-222-2-2-2-2222-2-2-2-2-2-2-2-2-222-2-22222-2-2222200-220000000022-2-22-20000000000000000000000000000000000000000002-22-200000000000000000000
χ61222222-2-2-2-222222-2-22222222-2-22222-2-2-22-2-222-2-222-2-2-22222-2-2-2-22-2-222-2-2-2-2-2-22222002200000000-2-22-22-20000000000000000000000000000000000000000002-2-2200000000000000000000
χ62222222-2-2-2-222222-2-22222222-2-22222-2-2-22-2-222-2-222-2-2-22222-2-2-2-22-2-222-2-2-2-2-2-2222200-2-20000000022-22-22000000000000000000000000000000000000000000-222-200000000000000000000
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Here i is the imaginary unit (i² = −1).