Finite Group Databasebeta

← Group #72214802

Character table — Group #72214802

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size11222444444448888888888816161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232326464646464646464646464646464646464646464128128128128128128128128128128128128
order12244244488884888888161616162222444444888816161616161616161616161616164444888888888816161616161616162224448816161616161616161616161624883232323232323232
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111
χ511111111111111111111111111-1-111-1-11111111111111111111111-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1
χ611111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111
χ711111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1
χ9111111111111111111111111-1-111-1-11111111111111111111111-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ10111111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1
χ11111111111111111111111111-1-111-1-111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1
χ12111111111111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-111-1-1-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1
χ1711111-111-11111-11111-1-111111-11-11-11-1i−ii−i-1-111-1-111111111-1-1i−ii−i1-11-1i−ii−ii−i-1-1-1-1ii−i−i11-1-1i−ii−i1-11-1i−ii−iii−i−i1-1i−i1-11-1i−ii−i
χ1811111-111-11111-11111-1-111111-11-11-11-1i−ii−i-1-111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i1-11-1i−ii−ii−i1111ii−i−i11-1-1i−ii−i1-11-1i−ii−i−i−iii-11−ii-11-11−ii−ii
χ1911111-111-11111-11111-1-111111-11-11-11-1−ii−ii-1-111-1-111111111-1-1−ii−ii1-11-1−ii−ii−ii-1-1-1-1−i−iii11-1-1−ii−ii1-11-1−ii−ii−i−iii1-1−ii1-11-1−ii−ii
χ2011111-111-11111-11111-1-111111-11-11-11-1−ii−ii-1-111-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii1-11-1−ii−ii−ii1111−i−iii11-1-1−ii−ii1-11-1−ii−iiii−i−i-11i−i-11-11i−ii−i
χ2111111-111-11111-11111-1-111111-1-111-1-11i−ii−i-1-111-1-111111111-1-1i−i−ii1-1-11i−i−iii−i-1-1-1-1ii−i−i-1-111−ii−ii1-1-11i−i−iiii−i−i-11−ii1-1-11i−i−ii
χ2211111-111-11111-11111-1-111111-1-111-1-11i−ii−i-1-111-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii1-1-11i−i−iii−i1111ii−i−i-1-111−ii−ii1-1-11i−i−ii−i−iii1-1i−i-111-1−iii−i
χ2311111-111-11111-11111-1-111111-1-111-1-11−ii−ii-1-111-1-111111111-1-1−iii−i1-1-11−iii−i−ii-1-1-1-1−i−iii-1-111i−ii−i1-1-11−iii−i−i−iii-11i−i1-1-11−iii−i
χ2411111-111-11111-11111-1-111111-1-111-1-11−ii−ii-1-111-1-1-1-1-1-1-1-1-1-1-1-1−iii−i1-1-11−iii−i−ii1111−i−iii-1-111i−ii−i1-1-11−iii−iii−i−i1-1−ii-111-1i−i−ii
χ2511111-111-11111-11111-1-11111-111-1-111-1i−ii−i-1-111-1-111111111-1-1−iii−i-111-1−iii−ii−i-1-1-1-1ii−i−i-1-111−ii−ii-111-1−iii−iii−i−i-11−ii-111-1−iii−i
χ2611111-111-11111-11111-1-11111-111-1-111-1i−ii−i-1-111-1-1-1-1-1-1-1-1-1-1-1-1−iii−i-111-1−iii−ii−i1111ii−i−i-1-111−ii−ii-111-1−iii−i−i−iii1-1i−i1-1-11i−i−ii
χ2711111-111-11111-11111-1-11111-111-1-111-1−ii−ii-1-111-1-111111111-1-1i−i−ii-111-1i−i−ii−ii-1-1-1-1−i−iii-1-111i−ii−i-111-1i−i−ii−i−iii-11i−i-111-1i−i−ii
χ2811111-111-11111-11111-1-11111-111-1-111-1−ii−ii-1-111-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii-111-1i−i−ii−ii1111−i−iii-1-111i−ii−i-111-1i−i−iiii−i−i1-1−ii1-1-11−iii−i
χ2911111-111-11111-11111-1-11111-11-11-11-11i−ii−i-1-111-1-111111111-1-1−ii−ii-11-11−ii−iii−i-1-1-1-1ii−i−i11-1-1i−ii−i-11-11−ii−iiii−i−i1-1i−i-11-11−ii−ii
χ3011111-111-11111-11111-1-11111-11-11-11-11i−ii−i-1-111-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii-11-11−ii−iii−i1111ii−i−i11-1-1i−ii−i-11-11−ii−ii−i−iii-11−ii1-11-1i−ii−i
χ3111111-111-11111-11111-1-11111-11-11-11-11−ii−ii-1-111-1-111111111-1-1i−ii−i-11-11i−ii−i−ii-1-1-1-1−i−iii11-1-1−ii−ii-11-11i−ii−i−i−iii1-1−ii-11-11i−ii−i
χ3211111-111-11111-11111-1-11111-11-11-11-11−ii−ii-1-111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i-11-11i−ii−i−ii1111−i−iii11-1-1−ii−ii-11-11i−ii−iii−i−i-11i−i1-11-1−ii−ii
χ3322222222222222222222-2-2-2-200000000222222-2-2-2-200000000-2-2000000000000220000-2-2-2-22-22-222-2-2000000000000000000000000
χ3422222222222222222222-2-2-2-200000000222222-2-2-2-200000000-2-2000000000000220000-2-2-2-2-22-22-2-222000000000000000000000000
χ3522222222222222222222-2-2-2-200000000-2-2-2-222-2-2-2-200000000-2-2000000000000-2-2000022222-22-2-2-222000000000000000000000000
χ3622222222222222222222-2-2-2-200000000-2-2-2-222-2-2-2-200000000-2-2000000000000-2-200002222-22-2222-2-2000000000000000000000000
χ3722222222222222-2-2-2-22222-2-2002200222222-2-22-22-2000000002-2002200220022-2-200002-22-20000000000-2-200-2-20000000000000000
χ3822222222222222-2-2-2-22222-2-200220022-2-2-2-2-2-22-22-2000000002-200-2-2002200-2-2220000-22-220000000000-2-200220000000000000000
χ3922222222222222-2-2-2-22222-2-200-2-200-2-22222-2-22-22-2000000002-200-2-200-2-200-2-2-2-200002-22-200000000002200220000000000000000
χ4022222222222222-2-2-2-22222-2-200-2-200-2-2-2-2-2-2-2-22-22-2000000002-2002200-2-20022220000-22-2200000000002200-2-20000000000000000
χ4122222222222222-2-2-2-222-2-222220022002222-2-2-22-2200000000-22220022002200-2-20000-22-2200000000-2-200-2-2000000000000000000
χ4222222222222222-2-2-2-222-2-22222002200-2-2-2-2-2-2-22-2200000000-22-2-2002200-2-2002200002-22-200000000-2-20022000000000000000000
χ4322222222222222-2-2-2-222-2-222-2-200-2-2002222-2-2-22-2200000000-22-2-200-2-200-2-200-2-20000-22-2200000000220022000000000000000000
χ4422222222222222-2-2-2-222-2-222-2-200-2-200-2-2-2-2-2-2-22-2200000000-222200-2-20022002200002-22-2000000002200-2-2000000000000000000
χ4522222-222-22222-22222-2-2-2-2-2-2000000002i−2i2i−2i-2-2-2-22200000000220000000000002i−2i0000−2i−2i2i2i2-2-222i−2i−2i2i000000000000000000000000
χ4622222-222-22222-22222-2-2-2-2-2-2000000002i−2i2i−2i-2-2-2-22200000000220000000000002i−2i0000−2i−2i2i2i-222-2−2i2i2i−2i000000000000000000000000
χ4722222-222-22222-22222-2-2-2-2-2-200000000−2i2i−2i2i-2-2-2-2220000000022000000000000−2i2i00002i2i−2i−2i2-2-22−2i2i2i−2i000000000000000000000000
χ4822222-222-22222-22222-2-2-2-2-2-200000000−2i2i−2i2i-2-2-2-2220000000022000000000000−2i2i00002i2i−2i−2i-222-22i−2i−2i2i000000000000000000000000
χ4922222-222-22222-2-2-2-2-2-2-222-2-2002-2002-22i−2i2i−2i222-2-2200000000-22002i−2i002-2002i−2i−2i2i00002i−2i−2i2i0000000000-2200−2i2i0000000000000000
χ5022222-222-22222-2-2-2-2-2-2-222-2-2002-2002-2−2i2i−2i2i222-2-2200000000-2200−2i2i002-200−2i2i2i−2i0000−2i2i2i−2i0000000000-22002i−2i0000000000000000
χ5122222-222-22222-2-2-2-2-2-2-222-2-200-2200-222i−2i2i−2i222-2-2200000000-2200−2i2i00-2200−2i2i−2i2i00002i−2i−2i2i00000000002-2002i−2i0000000000000000
χ5222222-222-22222-2-2-2-2-2-2-222-2-200-2200-22−2i2i−2i2i222-2-2200000000-22002i−2i00-22002i−2i2i−2i0000−2i2i2i−2i00000000002-200−2i2i0000000000000000
χ5322222-222-22222-2-2-2-2-2-2-2-2-2222-2002-2002i−2i2i−2i22-222-2000000002-22i−2i002-2002i−2i00−2i2i0000−2i2i2i−2i00000000-2200−2i2i000000000000000000
χ5422222-222-22222-2-2-2-2-2-2-2-2-2222-2002-200−2i2i−2i2i22-222-2000000002-2−2i2i002-200−2i2i002i−2i00002i−2i−2i2i00000000-22002i−2i000000000000000000
χ5522222-222-22222-2-2-2-2-2-2-2-2-222-2200-22002i−2i2i−2i22-222-2000000002-2−2i2i00-2200−2i2i00−2i2i0000−2i2i2i−2i000000002-2002i−2i000000000000000000
χ5622222-222-22222-2-2-2-2-2-2-2-2-222-2200-2200−2i2i−2i2i22-222-2000000002-22i−2i00-22002i−2i002i−2i00002i−2i−2i2i000000002-200−2i2i000000000000000000
χ57444444444-4-4-4-440000-4-400000000000044-4-40000002222-2-2-2-2000000000000000022-2-2000000000000000000002-22-2000000000000
χ58444444444-4-4-4-440000-4-400000000000044-4-4000000-2-2-2-222220000000000000000-2-22200000000000000000000-22-22000000000000
χ59444444444-4-4-4-440000-4-4000000000000-4-4440000002222-2-2-2-2000000000000000022-2-200000000000000000000-22-22000000000000
χ60444444444-4-4-4-440000-4-4000000000000-4-444000000-2-2-2-222220000000000000000-2-222000000000000000000002-22-2000000000000
χ61444444-4-444-44-4-400004-40044440044000000000-404000000000-40000-4-4000000000000000000000000000000000000000000000000
χ62444444-4-444-44-4-400004-40044-4-400-4-4000000000-404000000000-4000044000000000000000000000000000000000000000000000000
χ63444444-4-444-44-4-400004-400-4-400000000000000040-4000000000444000000-4-400000000000000000000000000000000000000000000
χ64444444-4-444-44-4-400004-400-4-400000000000000040-40000000004-4-40000004400000000000000000000000000000000000000000000
χ65444444-4-44-44-44-40000-44440000440044000000-404000000000-40000000-4-40000000000000000000000000000000000000000000000
χ66444444-4-44-44-44-40000-44440000-4-400-4-4000000-404000000000-40000000440000000000000000000000000000000000000000000000
χ67444444-4-44-44-44-40000-44-4-4000000000000000040-4000000000400044000000-4-4000000000000000000000000000000000000000000
χ68444444-4-44-44-44-40000-44-4-4000000000000000040-40000000004000-4-400000044000000000000000000000000000000000000000000
χ6944444-444-4-4-4-4-4-40000440000000000004i−4i−4i4i0000002222-2-2-2-20000000000000000-2-222000000000000000000002i−2i−2i2i000000000000
χ7044444-444-4-4-4-4-4-40000440000000000004i−4i−4i4i000000-2-2-2-22222000000000000000022-2-200000000000000000000−2i2i2i−2i000000000000
χ7144444-444-4-4-4-4-4-4000044000000000000−4i4i4i−4i0000002222-2-2-2-20000000000000000-2-22200000000000000000000−2i2i2i−2i000000000000
χ7244444-444-4-4-4-4-4-4000044000000000000−4i4i4i−4i000000-2-2-2-22222000000000000000022-2-2000000000000000000002i−2i−2i2i000000000000
χ7344444-4-4-4-44-44-440000-4400444-4004-4000000000-40-400000000040000-44000000000000000000000000000000000000000000000000
χ7444444-4-4-4-44-44-440000-440044-4400-44000000000-40-4000000000400004-4000000000000000000000000000000000000000000000000
χ7544444-4-4-4-44-44-440000-4400-4-4000000000000000404000000000-44i−4i000000−4i4i00000000000000000000000000000000000000000000
χ7644444-4-4-4-44-44-440000-4400-4-4000000000000000404000000000-4−4i4i0000004i−4i00000000000000000000000000000000000000000000
χ7744444-4-4-4-4-44-44400004-44400004-4004-4000000-40-400000000040000000-440000000000000000000000000000000000000000000000
χ7844444-4-4-4-4-44-44400004-4440000-4400-44000000-40-4000000000400000004-40000000000000000000000000000000000000000000000
χ7944444-4-4-4-4-44-44400004-4-4-40000000000000000404000000000-40004i−4i000000−4i4i000000000000000000000000000000000000000000
χ8044444-4-4-4-4-44-44400004-4-4-40000000000000000404000000000-4000−4i4i0000004i−4i000000000000000000000000000000000000000000
χ81888-8-8800-80000044-4-40000000000000000004-40000000044-4-40000000000000000004-4000000000000000000000000000000000000
χ82888-8-8800-80000044-4-40000000000000000004-400000000-4-444000000000000000000-44000000000000000000000000000000000000
χ83888-8-8800-800000-4-444000000000000000000-44000044-4-4000000000000000000004-400000000000000000000000000000000000000
χ84888-8-8800-800000-4-444000000000000000000-440000-4-44400000000000000000000-4400000000000000000000000000000000000000
χ85888-8-8-80080000044-4-4000000000000000000-440000000044-4-4000000000000000000-44000000000000000000000000000000000000
χ86888-8-8-80080000044-4-4000000000000000000-4400000000-4-4440000000000000000004-4000000000000000000000000000000000000
χ87888-8-8-800800000-4-4440000000000000000004-4000044-4-400000000000000000000-4400000000000000000000000000000000000000
χ88888-8-8-800800000-4-4440000000000000000004-40000-4-444000000000000000000004-400000000000000000000000000000000000000
χ8988-88-800000-80800000008-8000008000-800000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-88-800000-80800000008-800000-8000800000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-88-800000-8080000000-8800008000-8000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-88-800000-8080000000-880000-80008000000000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-880000-80800000000008-808000-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-880000-80800000000008-80-800080000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-880000-8080000000000-888000-800000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-880000-8080000000000-88-8000800000000000000000000000000000000000000000000000000000000000000000000000000000
χ971616-1616-1600000160-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ981616-16-16160000160-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9916-1600008-8000000008-8000000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000
χ10016-1600008-8000000008-800000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000
χ10116-1600008-800000000-880000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000
χ10216-1600008-800000000-88000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000
χ10316-160000-880000008-8000000000000000000000000000000008-800000000000000000000000000000000000000000000000000000000
χ10416-160000-880000008-800000000000000000000000000000000-8800000000000000000000000000000000000000000000000000000000
χ10516-160000-88000000-880000000000000000000000000000008-80000000000000000000000000000000000000000000000000000000000
χ10616-160000-88000000-88000000000000000000000000000000-880000000000000000000000000000000000000000000000000000000000

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