Finite Group Databasebeta

← Group #72326041

Character table — Group #72326041

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1122244444444888888888888888161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232326464646464646464128128128128128128128128128128128128
order1222222222222222222222444444222222244422222244444444444444444444444444444444444444444444444444444444888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111111111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1iiii−i−i−i−iii−i−iii−i−iii−i−i
χ101111111111111111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−iii
χ111111111111111111111111111111111-1-1-1-111111-1-11111-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i−i−iii−i−iii
χ121111111111111111111111111111111-1-1-1-111111-1-11111-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iiiii−i−iii−i−i
χ131111111111111111111111111111111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iiiii−i−i−i−iii
χ141111111111111111111111111111111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−i−i−iiiii−i−i
χ151111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1iiii−i−i−i−i−i−iii−i−iiiii−i−i
χ161111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1−i−i−i−iiiiiii−i−iii−i−i−i−iii
χ1711111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-11-11-11-11-11-111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−ii−ii−ii−ii−i
χ1811111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-11-11-11-11-11-111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−ii−ii−ii−ii
χ1911111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-11-111-1-11-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1ii−i−iii−i−ii−ii−i−ii−ii−ii−ii
χ2011111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-11-111-1-11-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1−i−iii−i−iii−ii−iii−ii−ii−ii−i
χ2111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-111-1-11-111-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1ii−i−iii−i−i−ii−iii−ii−i−ii−ii
χ2211111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-111-1-11-111-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1−i−iii−i−iiii−ii−i−ii−iii−ii−i
χ2311111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-11-111-1-11-111-1111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1ii−i−iii−i−i−ii−ii−ii−iii−ii−i
χ2411111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-11-111-1-11-111-1111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1−i−iii−i−iiii−ii−ii−ii−i−ii−ii
χ2511111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-11-1-111-11-1-11-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111111-1-1-1-1111-1-111-1-111-1-11
χ2611111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-11-1-111-11-1-11-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-11111-1-1-111-1-111-1-111-1
χ2711111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-11-111-1-111-1
χ2811111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-111-11-1-111-1-11
χ2911111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-111-11-1-111-11-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-111-111-11-1-11-111-1
χ3011111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-111-11-1-111-11-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-11111-1-11-1-11-111-11-1-11
χ3111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-11-11-11-11-11-11-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-111-111-1-111-11-1-11
χ3211111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-11-11-11-11-11-11-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11111-1-11-1-111-1-11-111-1
χ33222222222222222222-2-2-2-222-2-2-2-22-2-222222-2-200002-200002-22-2-200000000-2-222000000000000000022-2-222-2-22-2-200000000000000000000
χ34222222222222222222-2-2-2-222-2-2-2-22-2-222222-2-20000-220000-222-2-20000000022-2-20000000000000000-2-222-2-2222-2-200000000000000000000
χ35222222222222222222-2-2-2-222-2-2-2-22-2-2-2-2-2-22-2-200002-200002-2-22200000000-2-2220000000000000000-2-222-2-222-22200000000000000000000
χ36222222222222222222-2-2-2-222-2-2-2-22-2-2-2-2-2-22-2-20000-220000-22-2220000000022-2-2000000000000000022-2-222-2-2-22200000000000000000000
χ372222222222222222-2-222-2-2-2-222-2-2-22-22222-22-2002-200002-200-22-20000-2-22200000000000022-2-222-2-200000000-22-200000000000000000000
χ382222222222222222-2-222-2-2-2-222-2-2-22-22222-22-200-220000-2200-22-2000022-2-2000000000000-2-222-2-22200000000-22-200000000000000000000
χ392222222222222222-2-222-2-2-2-222-2-2-22-2-2-2-2-2-22-2002-200002-2002-220000-2-222000000000000-2-222-2-222000000002-2200000000000000000000
χ402222222222222222-2-222-2-2-2-222-2-2-22-2-2-2-2-2-22-200-220000-22002-22000022-2-200000000000022-2-222-2-2000000002-2200000000000000000000
χ412222222222222222-2-2-2-222-2-2-2-222-2-222222-2-222-200002-20000-2-22-2-2220000000022-2-222-2-20000000000000000-2-2200000000000000000000
χ422222222222222222-2-2-2-222-2-2-2-222-2-222222-2-22-220000-220000-2-2222-2-200000000-2-222-2-2220000000000000000-2-2200000000000000000000
χ432222222222222222-2-2-2-222-2-2-2-222-2-22-2-2-2-2-2-222-200002-2000022-2-2-22200000000-2-222-2-222000000000000000022-200000000000000000000
χ442222222222222222-2-2-2-222-2-2-2-222-2-22-2-2-2-2-2-22-220000-22000022-222-2-20000000022-2-222-2-2000000000000000022-200000000000000000000
χ4522222-2-2222222-2-2-22222-2-22222-2-2-2-2222-2-2-2-22220000220000-2-22-2-2-2-20000000022-2-2-2-222000000000000000022-200000000000000000000
χ4622222-2-2222222-2-2-22222-2-22222-2-2-2-2222-2-2-2-22-2-20000-2-20000-2-22222200000000-2-22222-2-2000000000000000022-200000000000000000000
χ4722222-2-2222222-2-2-22222-2-22222-2-2-2-22-2-222-2-2222000022000022-2-2-2-2-200000000-2-22222-2-20000000000000000-2-2200000000000000000000
χ4822222-2-2222222-2-2-22222-2-22222-2-2-2-22-2-222-2-22-2-20000-2-2000022-222220000000022-2-2-2-2220000000000000000-2-2200000000000000000000
χ4922222-2-2222222-2-2-222-2-22222-2-222-22-222-2-2-22-2002200002200-22-20000-2-2-2-200000000000022-2-2-2-222000000002-2200000000000000000000
χ5022222-2-2222222-2-2-222-2-22222-2-222-22-222-2-2-22-200-2-20000-2-200-22-200002222000000000000-2-22222-2-2000000002-2200000000000000000000
χ5122222-2-2222222-2-2-222-2-22222-2-222-22-2-2-222-22-20022000022002-220000-2-2-2-2000000000000-2-22222-2-200000000-22-200000000000000000000
χ5222222-2-2222222-2-2-222-2-22222-2-222-22-2-2-222-22-200-2-20000-2-2002-220000222200000000000022-2-2-2-22200000000-22-200000000000000000000
χ5322222-2-2222222-2-2-2-2-22222-2-222222-2-222-2-22-2-20000220000222-2-200000000-2-2-2-2000000000000000022-2-2-2-222-22200000000000000000000
χ5422222-2-2222222-2-2-2-2-22222-2-222222-2-222-2-22-2-20000-2-20000-2-22-2-20000000022220000000000000000-2-22222-2-2-22200000000000000000000
χ5522222-2-2222222-2-2-2-2-22222-2-222222-2-2-2-2222-2-2000022000022-22200000000-2-2-2-20000000000000000-2-22222-2-22-2-200000000000000000000
χ5622222-2-2222222-2-2-2-2-22222-2-222222-2-2-2-2222-2-20000-2-20000-2-2-222000000002222000000000000000022-2-2-2-2222-2-200000000000000000000
χ57444444444-4-4-4-44-4-40000440000-4-4004000000-4000000000000000000000000000004-4004-4000000000000000000000000000000000000000
χ58444444444-4-4-4-44-4-40000440000-4-4004000000-400000000000000000000000000000-4400-44000000000000000000000000000000000000000
χ59444444444-4-4-4-44-4-40000-4-400004400-400000040000000000000000000000000004-4004-400000000000000000000000000000000000000000
χ60444444444-4-4-4-44-4-40000-4-400004400-40000004000000000000000000000000000-4400-4400000000000000000000000000000000000000000
χ614444444-4-444-4-4-44-400440000-4-40004000000-4000000000000000000000000000000000000004-4004-40000000000000000000000000000000
χ624444444-4-444-4-4-44-400440000-4-40004000000-400000000000000000000000000000000000000-4400-440000000000000000000000000000000
χ634444444-4-444-4-4-44-400-4-4000044000-400000040000000000000000000000000000000000004-4004-4000000000000000000000000000000000
χ644444444-4-444-4-4-44-400-4-4000044000-40000004000000000000000000000000000000000000-4400-44000000000000000000000000000000000
χ654444444-4-4-4-444-4-44440000-4-400004000000-40000000000000000000000000000000000000000000004-4004-40000000000000000000000000
χ664444444-4-4-4-444-4-44440000-4-400004000000-4000000000000000000000000000000000000000000000-4400-440000000000000000000000000
χ674444444-4-4-4-444-4-44-4-40000440000-40000004000000000000000000000000000000000000000000000004-4004-400000000000000000000000
χ684444444-4-4-4-444-4-44-4-40000440000-4000000400000000000000000000000000000000000000000000000-4400-4400000000000000000000000
χ6944444-4-444-4-4-4-4-4440000440000-4-400-400000040000000000000000000000000004-400-4400000000000000000000000000000000000000000
χ7044444-4-444-4-4-4-4-4440000440000-4-400-40000004000000000000000000000000000-44004-400000000000000000000000000000000000000000
χ7144444-4-444-4-4-4-4-4440000-4-4000044004000000-4000000000000000000000000000004-400-44000000000000000000000000000000000000000
χ7244444-4-444-4-4-4-4-4440000-4-4000044004000000-400000000000000000000000000000-44004-4000000000000000000000000000000000000000
χ7344444-4-4-4-444-4-44-4400440000-4-4000-400000040000000000000000000000000000000000004-400-44000000000000000000000000000000000
χ7444444-4-4-4-444-4-44-4400440000-4-4000-40000004000000000000000000000000000000000000-44004-4000000000000000000000000000000000
χ7544444-4-4-4-444-4-44-4400-4-40000440004000000-4000000000000000000000000000000000000004-400-440000000000000000000000000000000
χ7644444-4-4-4-444-4-44-4400-4-40000440004000000-400000000000000000000000000000000000000-44004-40000000000000000000000000000000
χ7744444-4-4-4-4-4-44444-4440000-4-40000-40000004000000000000000000000000000000000000000000000004-400-4400000000000000000000000
χ7844444-4-4-4-4-4-44444-4440000-4-40000-4000000400000000000000000000000000000000000000000000000-44004-400000000000000000000000
χ7944444-4-4-4-4-4-44444-4-4-400004400004000000-40000000000000000000000000000000000000000000004-400-440000000000000000000000000
χ8044444-4-4-4-4-4-44444-4-4-400004400004000000-4000000000000000000000000000000000000000000000-44004-40000000000000000000000000
χ81888-8-80000008-80000000008-80000000000000000000400000-4000000000004-40000000000000000000000000000000000000000000000000
χ82888-8-80000008-80000000008-80000000000000000000-400000400000000000-440000000000000000000000000000000000000000000000000
χ83888-8-80000008-8000000000-880000000000000000000400000-400000000000-440000000000000000000000000000000000000000000000000
χ84888-8-80000008-8000000000-880000000000000000000-4000004000000000004-40000000000000000000000000000000000000000000000000
χ85888-8-8000000-880008-8000000000000000000000000400000-4000000000000004-400000000000000000000000000000000000000000000000
χ86888-8-8000000-880008-8000000000000000000000000-400000400000000000000-4400000000000000000000000000000000000000000000000
χ87888-8-8000000-88000-88000000000000000000000000400000-400000000000000-4400000000000000000000000000000000000000000000000
χ88888-8-8000000-88000-88000000000000000000000000-4000004000000000000004-400000000000000000000000000000000000000000000000
χ8988-88-800008-800000000000008-800000000000000400000-40000000000004-4000000000000000000000000000000000000000000000000000
χ9088-88-800008-800000000000008-800000000000000-4000004000000000000-44000000000000000000000000000000000000000000000000000
χ9188-88-800008-80000000000000-8800000000000000400000-4000000000000-44000000000000000000000000000000000000000000000000000
χ9288-88-800008-80000000000000-8800000000000000-40000040000000000004-4000000000000000000000000000000000000000000000000000
χ9388-88-80000-8800000008-8000000000000000000000400000-40000000004-400000000000000000000000000000000000000000000000000000
χ9488-88-80000-8800000008-8000000000000000000000-4000004000000000-4400000000000000000000000000000000000000000000000000000
χ9588-88-80000-880000000-88000000000000000000000400000-4000000000-4400000000000000000000000000000000000000000000000000000
χ9688-88-80000-880000000-88000000000000000000000-40000040000000004-400000000000000000000000000000000000000000000000000000
χ9788-8-88008-8000000000000000008-80000000000400000-400000000004-40000000000000000000000000000000000000000000000000000000
χ9888-8-88008-8000000000000000008-80000000000-40000040000000000-440000000000000000000000000000000000000000000000000000000
χ9988-8-88008-800000000000000000-880000000000400000-40000000000-440000000000000000000000000000000000000000000000000000000
χ10088-8-88008-800000000000000000-880000000000-400000400000000004-40000000000000000000000000000000000000000000000000000000
χ10188-8-8800-88000000000008-800000000000000000400000-400000004-4000000000000000000000000000000000000000000000000000000000
χ10288-8-8800-88000000000008-800000000000000000-40000040000000-44000000000000000000000000000000000000000000000000000000000
χ10388-8-8800-8800000000000-8800000000000000000400000-40000000-44000000000000000000000000000000000000000000000000000000000
χ10488-8-8800-8800000000000-8800000000000000000-400000400000004-4000000000000000000000000000000000000000000000000000000000
χ10516-160008-80000000000000000000000004-44-40000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ10616-160008-80000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ10716-160008-8000000000000000000000000-44-440000000000000000000000000000000000000000000000000000000002-22-2-22-22000000000000
χ10816-160008-8000000000000000000000000-44-44000000000000000000000000000000000000000000000000000000000-22-222-22-2000000000000
χ10916-16000-880000000000000000000000004-4-440000000000000000000000000000000000000000000000000000000002-2-222-2-22000000000000
χ11016-16000-880000000000000000000000004-4-44000000000000000000000000000000000000000000000000000000000-222-2-222-2000000000000
χ11116-16000-88000000000000000000000000-444-40000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ11216-16000-88000000000000000000000000-444-4000000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000

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