Finite Group Databasebeta

← Group #72262757

Character table — Group #72262757

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222222244444444444444888888888888888161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222224444222244444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1111111-1-111-1-1
χ9111111111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ10111111111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1
χ11111111111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ12111111111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111
χ13111111111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ14111111111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ15111111111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ16111111111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1711111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-11-11-1
χ1811111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-1−ii−ii−ii−iiii−i−iii−i−i−i−iii−i−iii-11-11-11-11
χ1911111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-1i−ii−ii−ii−i−i−iii−i−iiiii−i−iii−i−i-11-11-11-11
χ2011111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-11-11-1
χ2111111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i-11i−i−iii−i−ii−i−iii−i−iiiii−i−i−i−iii1-1-111-1-11
χ2211111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i-11−iii−i−iii−i−i−iii−i−iii−i−iiiii−i−i-111-1-111-1
χ2311111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii-11i−i−iii−i−iiii−i−iii−i−iii−i−i−i−iii-111-1-111-1
χ2411111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii-11−iii−i−iii−iii−i−iii−i−i−i−iiiii−i−i1-1-111-1-11
χ2511111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-11i−ii−ii−ii−iii−i−i−i−iii−i−iii−i−iii1-1-11-111-1
χ2611111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-11−ii−ii−ii−iiii−i−i−i−iiiii−i−iii−i−i-111-11-1-11
χ2711111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11i−ii−ii−ii−i−i−iiiii−i−i−i−iii−i−iii-111-11-1-11
χ2811111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11−ii−ii−ii−ii−i−iiiii−i−iii−i−iii−i−i1-1-11-111-1
χ2911111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1i−i−iii−i−ii−i−iiiii−i−i−i−iiiii−i−i1-11-1-11-11
χ3011111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1−iii−i−iii−i−i−iiiii−i−iii−i−i−i−iii-11-111-11-1
χ3111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1i−i−iii−i−iiii−i−i−i−iii−i−iiiii−i−i-11-111-11-1
χ3211111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1−iii−i−iii−iii−i−i−i−iiiii−i−i−i−iii1-11-1-11-11
χ33222222222222222222222222-2-2222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000-2-200000000000000000000000000000000
χ34222222222222222222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002200000000000000000000000000000000
χ35222222222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-22222-2-2-2-200000000000000002200000000000000000000000000000000
χ36222222222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222222222220000000000000000-2-200000000000000000000000000000000
χ3722222222222-2-2-2-2000022-2-2-22-20000002-22-22-22-2002-20000002-22-20000000022-2-222-2-2000000000000002-22-20000000000000000
χ3822222222222-2-2-2-2000022-2-2-22-20000002-22-22-22-2002-20000002-22-200000000-2-222-2-22200000000000000-22-220000000000000000
χ3922222222222-2-2-2-2000022-2-2-22-20000002-22-22-2-2200-22000000-22-220000000022-2-222-2-200000000000000-22-220000000000000000
χ4022222222222-2-2-2-2000022-2-2-22-20000002-22-22-2-2200-22000000-22-2200000000-2-222-2-222000000000000002-22-20000000000000000
χ4122222222222-2-2-2-2000022-2-2-2-22000000-22-22-222-2002-2000000-22-2222-2-222-2-20000000000000000002-22-200000000000000000000
χ4222222222222-2-2-2-2000022-2-2-2-22000000-22-22-222-2002-2000000-22-22-2-222-2-222000000000000000000-22-2200000000000000000000
χ4322222222222-2-2-2-2000022-2-2-2-22000000-22-22-22-2200-220000002-22-222-2-222-2-2000000000000000000-22-2200000000000000000000
χ4422222222222-2-2-2-2000022-2-2-2-22000000-22-22-22-2200-220000002-22-2-2-222-2-2220000000000000000002-22-200000000000000000000
χ45222222222-2-222-2-222-2-2-2-222-22-22-222-2-22-2-22-22000000002-22-20000000000000000000000002200-2-20000000000002-22-200000000
χ46222222222-2-222-2-222-2-2-2-222-22-22-222-2-22-2-22-22000000002-22-2000000000000000000000000-2-20022000000000000-22-2200000000
χ47222222222-2-222-2-222-2-2-2-222-2-222-222-2-2-222-22-200000000-22-2200000000000000000000002200-2-200000000002-22-2000000000000
χ48222222222-2-222-2-222-2-2-2-222-2-222-222-2-2-222-22-200000000-22-220000000000000000000000-2-200220000000000-22-22000000000000
χ49222222222-2-222-2-2-2-222-2-222-22-2-22-2-2222-2-22-2200000000-22-220000000000000000000000002200-2-2000000000000-22-2200000000
χ50222222222-2-222-2-2-2-222-2-222-22-2-22-2-2222-2-22-2200000000-22-22000000000000000000000000-2-200220000000000002-22-200000000
χ51222222222-2-222-2-2-2-222-2-222-2-22-22-2-222-222-22-2000000002-22-200000000000000000000002200-2-20000000000-22-22000000000000
χ52222222222-2-222-2-2-2-222-2-222-2-22-22-2-222-222-22-2000000002-22-20000000000000000000000-2-2002200000000002-22-2000000000000
χ5322222-2-2-2-22222222222-2-2-2-2-22222-2-2-2-2-2-222-2-22222-2-2-2-2-2-222-2-2220000000000000000-2200000000000000000000000000000000
χ5422222-2-2-2-22222222222-2-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-22222-2-22222-2-200000000000000002-200000000000000000000000000000000
χ5522222-2-2-2-2222222-2-2-2-2-2-2-2-2-222-2-22222-2-222-2-222-2-2-2-22222-2-2-2-22200000000000000002-200000000000000000000000000000000
χ5622222-2-2-2-2222222-2-2-2-2-2-2-2-2-222-2-22222-2-222-2-2-2-22222-2-222-2-222-2-20000000000000000-2200000000000000000000000000000000
χ5722222-2-2-2-222-2-2-2-20000-2-22222-2000000-222-2-222-200-22000000-222-22i2i−2i−2i−2i−2i2i2i0000000000000000002i−2i−2i2i00000000000000000000
χ5822222-2-2-2-222-2-2-2-20000-2-22222-2000000-222-2-222-200-22000000-222-2−2i−2i2i2i2i2i−2i−2i000000000000000000−2i2i2i−2i00000000000000000000
χ5922222-2-2-2-222-2-2-2-20000-2-22222-2000000-222-2-22-22002-20000002-2-222i2i−2i−2i−2i−2i2i2i000000000000000000−2i2i2i−2i00000000000000000000
χ6022222-2-2-2-222-2-2-2-20000-2-22222-2000000-222-2-22-22002-20000002-2-22−2i−2i2i2i2i2i−2i−2i0000000000000000002i−2i−2i2i00000000000000000000
χ6122222-2-2-2-222-2-2-2-20000-2-2222-220000002-2-222-22-200-220000002-2-22000000002i2i−2i−2i−2i−2i2i2i000000000000002i−2i−2i2i0000000000000000
χ6222222-2-2-2-222-2-2-2-20000-2-2222-220000002-2-222-22-200-220000002-2-2200000000−2i−2i2i2i2i2i−2i−2i00000000000000−2i2i2i−2i0000000000000000
χ6322222-2-2-2-222-2-2-2-20000-2-2222-220000002-2-222-2-22002-2000000-222-2000000002i2i−2i−2i−2i−2i2i2i00000000000000−2i2i2i−2i0000000000000000
χ6422222-2-2-2-222-2-2-2-20000-2-2222-220000002-2-222-2-22002-2000000-222-200000000−2i−2i2i2i2i2i−2i−2i000000000000002i−2i−2i2i0000000000000000
χ6522222-2-2-2-2-2-222-2-222-2-222-2-222-22-2-2-222-22-222-200000000-222-200000000000000000000002i−2i00−2i2i00000000002i−2i−2i2i000000000000
χ6622222-2-2-2-2-2-222-2-222-2-222-2-222-22-2-2-222-22-222-200000000-222-20000000000000000000000−2i2i002i−2i0000000000−2i2i2i−2i000000000000
χ6722222-2-2-2-2-2-222-2-222-2-222-2-22-222-2-2-2222-22-2-22000000002-2-220000000000000000000000002i−2i00−2i2i0000000000002i−2i−2i2i00000000
χ6822222-2-2-2-2-2-222-2-222-2-222-2-22-222-2-2-2222-22-2-22000000002-2-22000000000000000000000000−2i2i002i−2i000000000000−2i2i2i−2i00000000
χ6922222-2-2-2-2-2-222-2-2-2-22222-2-222-2-2222-2-2-22-222-2000000002-2-2200000000000000000000002i−2i00−2i2i0000000000−2i2i2i−2i000000000000
χ7022222-2-2-2-2-2-222-2-2-2-22222-2-222-2-2222-2-2-22-222-2000000002-2-220000000000000000000000−2i2i002i−2i00000000002i−2i−2i2i000000000000
χ7122222-2-2-2-2-2-222-2-2-2-22222-2-22-22-2222-2-22-22-2-2200000000-222-20000000000000000000000002i−2i00−2i2i000000000000−2i2i2i−2i00000000
χ7222222-2-2-2-2-2-222-2-2-2-22222-2-22-22-2222-2-22-22-2-2200000000-222-2000000000000000000000000−2i2i002i−2i0000000000002i−2i−2i2i00000000
χ73444444444-4-4-4-4440000-4-4-4-444400000044-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000
χ74444444444-4-4-4-4440000-4-4-4-44-4-4000000-4-44444000000000000000000000000000000000000000000000000000000000000000000
χ7544444-4-4-4-4-4-4-4-44400004444-444000000-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000
χ7644444-4-4-4-4-4-4-4-44400004444-4-4-40000004444-4-4000000000000000000000000000000000000000000000000000000000000000000
χ77444-4-444-4-4004-4000044004-40000-4004-400000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000
χ78444-4-444-4-4004-4000044004-40000-4004-40000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000
χ79444-4-444-4-4004-40000-4-4004-40000400-4400000000000000000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000
χ80444-4-444-4-4004-40000-4-4004-40000400-440000000000000000000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000
χ81444-4-444-4-400-4400440000-44000-404-40000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000
χ82444-4-444-4-400-4400440000-44000-404-4000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000
χ83444-4-444-4-400-4400-4-40000-4400040-440000000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000
χ84444-4-444-4-400-4400-4-40000-4400040-44000000000000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000
χ85444-4-4-4-444004-400004400-440000-400-4400000000000000000000002-22-2-22-222-22-2-22-220000000000000000000000000000000000
χ86444-4-4-4-444004-400004400-440000-400-440000000000000000000000-22-222-22-2-22-222-22-20000000000000000000000000000000000
χ87444-4-4-4-444004-40000-4-400-4400004004-400000000000000000000002-22-2-22-22-22-222-22-20000000000000000000000000000000000
χ88444-4-4-4-444004-40000-4-400-4400004004-40000000000000000000000-22-222-22-22-22-2-22-220000000000000000000000000000000000
χ89444-4-4-4-44400-44004400004-4000-40-440000000000000000000000002-2-22-222-22-2-22-222-20000000000000000000000000000000000
χ90444-4-4-4-44400-44004400004-4000-40-44000000000000000000000000-222-22-2-22-222-22-2-220000000000000000000000000000000000
χ91444-4-4-4-44400-4400-4-400004-4000404-40000000000000000000000002-2-22-222-2-222-22-2-220000000000000000000000000000000000
χ92444-4-4-4-44400-4400-4-400004-4000404-4000000000000000000000000-222-22-2-222-2-22-222-20000000000000000000000000000000000
χ9388-88-88-88-800000000000000000000000000000004-4004-40000000000000000000000000000000000000000000000000000000000
χ9488-88-88-88-80000000000000000000000000000000-4400-440000000000000000000000000000000000000000000000000000000000
χ9588-88-8-88-8800000000000000000000000000000004-400-440000000000000000000000000000000000000000000000000000000000
χ9688-88-8-88-880000000000000000000000000000000-44004-40000000000000000000000000000000000000000000000000000000000
χ9788-8-888-8-888-8000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-888-8-88-8800000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-88-888-88-800000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-888-8-88000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10116-16000000000008-88-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-16000000000008-8-88-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-1600000000000-888-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-1600000000000-88-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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