Finite Group Databasebeta

← Group #72312279

Character table — Group #72312279

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size11222222244444444448888888888888161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232326464646464646464128128128128128128128128
order1222222222222222222222222222224422222222244444444444444444224444444444444444444444444444444444444444444444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ5111111111111111111111111111111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ91111111111111111111111111111111111-1-111-1-1111-1-111-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ101111111111111111111111111111111111-1-111-1-1111-1-111-1-11111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111
χ111111111111111111111111111111111111-1-111-1-1111-1-111-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111
χ121111111111111111111111111111111111-1-111-1-1111-1-111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1111111-1-1-1-1-1-11111-1-1
χ131111111111111111111111111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ141111111111111111111111111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1
χ151111111111111111111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-11111-1-1-1-111-1-1-1-111
χ1711111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-11-11-11-1-11-11-11-11-1ii−i−iii−i−i-111111-111-1-111-1-111-1-11-11-1-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−ii−ii−ii−ii−i11-1-1ii−i−i1-1i−i1-1i−i
χ1811111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-11-11-11-1-11-11-11-11-1ii−i−iii−i−i-1-1-1-1-11-111-1-111-1-111-1-11-11-11111i−ii−iii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiiii−ii−ii−ii−i-1-111−i−iii-11−ii-11−ii
χ1911111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-11-11-11-1-11-11-11-11-1−i−iii−i−iii-111111-111-1-111-1-111-1-11-11-1-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−ii−ii−ii−ii11-1-1−i−iii1-1−ii1-1−ii
χ2011111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-11-11-11-1-11-11-11-11-1−i−iii−i−iii-1-1-1-1-11-111-1-111-1-111-1-11-11-11111−ii−ii−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−i−ii−ii−ii−ii-1-111ii−i−i-11i−i-11i−i
χ2111111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-11-1-11-11-11-11-1-11-11ii−i−iii−i−i-111111-1-1-111-1-11111-1-1-11-11-1-1-1-1−ii−iiii−i−iii−i−i−i−iii−i−iiiiiii−i−i−i−ii−ii−i−ii−ii11-1-1ii−i−i-11−ii-11−ii
χ2211111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-11-1-11-11-11-11-1-11-11ii−i−iii−i−i-1-1-1-1-11-1-1-111-1-11111-1-1-11-111111−ii−iiii−i−iii−i−i−i−iii−i−iii−i−i−i−iiiiii−ii−i−ii−ii-1-111−i−iii1-1i−i1-1i−i
χ2311111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-11-1-11-11-11-11-1-11-11−i−iii−i−iii-111111-1-1-111-1-11111-1-1-11-11-1-1-1-1i−ii−i−i−iii−i−iiiii−i−iii−i−i−i−i−i−iiiii−ii−iii−ii−i11-1-1−i−iii-11i−i-11i−i
χ2411111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-11-1-11-11-11-11-1-11-11−i−iii−i−iii-1-1-1-1-11-1-1-111-1-11111-1-1-11-111111i−ii−i−i−iii−i−iiiii−i−iii−i−iiiii−i−i−i−i−ii−iii−ii−i-1-111ii−i−i1-1−ii1-1−ii
χ2511111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-1-111-1-11-11-1-111-1-11ii−i−i−i−iii-11111-1111-1-1-1-111-1-1111-1-11-1-1-1-1i−i−iiii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−ii−i−iii−i−ii-1-111−i−iii1-1i−i-11−ii
χ2611111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-1-111-1-11-11-1-111-1-11ii−i−i−i−iii-1-1-1-1-1-1111-1-1-1-111-1-1111-1-111111i−i−iiii−i−i−i−iiiii−i−i−i−iii−i−i−i−iiiiii−i−iii−i−ii11-1-1ii−i−i-11−ii1-1i−i
χ2711111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-1-111-1-11-11-1-111-1-11−i−iiiii−i−i-11111-1111-1-1-1-111-1-1111-1-11-1-1-1-1−iii−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiii−iii−i−iii−i-1-111ii−i−i1-1−ii-11i−i
χ2811111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-1-111-1-11-11-1-111-1-11−i−iiiii−i−i-1-1-1-1-1-1111-1-1-1-111-1-1111-1-111111−iii−i−i−iiiii−i−i−i−iiiii−i−iiiii−i−i−i−i−iii−i−iii−i11-1-1−i−iii-11i−i1-1−ii
χ2911111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-1-11-111-1-11-1-11-111-1ii−i−i−i−iii-11111-11-1-11111-1-1-1-111-111-1-1-1-1-1−iii−iii−i−i−i−iii−i−iiiii−i−iiiii−i−i−i−ii−i−ii−iii−i-1-111−i−iii-11−ii1-1i−i
χ3011111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-1-11-111-1-11-1-11-111-1ii−i−i−i−iii-1-1-1-1-1-11-1-11111-1-1-1-111-111-11111−iii−iii−i−i−i−iii−i−iiiii−i−i−i−i−i−iiiiii−i−ii−iii−i11-1-1ii−i−i1-1i−i-11−ii
χ3111111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-1-11-111-1-11-1-11-111-1−i−iiiii−i−i-11111-11-1-11111-1-1-1-111-111-1-1-1-1-1i−i−ii−i−iiiii−i−iii−i−i−i−iii−i−i−i−iiiii−iii−ii−i−ii-1-111ii−i−i-11i−i1-1−ii
χ3211111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-1-11-111-1-11-1-11-111-1−i−iiiii−i−i-1-1-1-1-1-11-1-11111-1-1-1-111-111-11111i−i−ii−i−iiiii−i−iii−i−i−i−iiiiiii−i−i−i−i−iii−ii−i−ii11-1-1−i−iii1-1−ii-11i−i
χ3322222222222222222222222222-2-222-2-2-2-2220000-2-2-222000022222222-20000-2-2000000002-22-2000000000000-2-2-2-2-2-2-2-20000000000000000222200000000000000000000
χ3422222222222222222222222222-2-222-2-2-2-2220000-2-2-2220000-2-2-2-2-2-2-2-2-20000-2-2000000002-22-2000000000000222222220000000000000000-2-2-2-200000000000000000000
χ3522222222222222222222222222-2-222-2-2-2-2-2-20000-2-2-2-2-200002222-2-2-2-2-200002200000000-22-22000000000000-2-2-2-22222000000000000000022-2-200000000000000000000
χ3622222222222222222222222222-2-222-2-2-2-2-2-20000-2-2-2-2-20000-2-2-2-22222-200002200000000-22-220000000000002222-2-2-2-20000000000000000-2-22200000000000000000000
χ3722222222222222-22-2-2-22-2-2-222-222-2-2-2-222002-2002-2-2002-20000002i2i−2i−2i-20000002-22-200000000-2200000000−2i2i00002i−2i2i−2i00002i−2i2i−2i0000000000−2i2i002i−2i0000000000000000
χ3822222222222222-22-2-2-22-2-2-222-222-2-2-2-222002-2002-2-2002-2000000−2i−2i2i2i-20000002-22-200000000-22000000002i−2i0000−2i2i−2i2i0000−2i2i−2i2i00000000002i−2i00−2i2i0000000000000000
χ3922222222222222-22-2-2-22-2-2-222-222-2-2-2-22200-22002-2-200-220000002i2i−2i−2i-2000000-22-22000000002-2000000002i−2i00002i−2i2i−2i0000−2i2i−2i2i0000000000−2i2i00−2i2i0000000000000000
χ4022222222222222-22-2-2-22-2-2-222-222-2-2-2-22200-22002-2-200-22000000−2i−2i2i2i-2000000-22-22000000002-200000000−2i2i0000−2i2i−2i2i00002i−2i2i−2i00000000002i−2i002i−2i0000000000000000
χ4122222222222222-22-2-2-22-2-2-222-2-2-2-2-222-2-200002-2-22200002-200002i2i−2i−2i200000000002-22-2000000-220000−2i2i000000−2i2i−2i2i2i−2i2i−2i00000000000000−2i2i2i−2i000000000000000000
χ4222222222222222-22-2-2-22-2-2-222-2-2-2-2-222-2-200002-2-22200002-20000−2i−2i2i2i200000000002-22-2000000-2200002i−2i0000002i−2i2i−2i−2i2i−2i2i000000000000002i−2i−2i2i000000000000000000
χ4322222222222222-22-2-2-22-2-2-222-2-2-2-2-222-2-20000-22-2220000-2200002i2i−2i−2i20000000000-22-220000002-200002i−2i000000−2i2i−2i2i−2i2i−2i2i00000000000000−2i2i−2i2i000000000000000000
χ4422222222222222-22-2-2-22-2-2-222-2-2-2-2-222-2-20000-22-2220000-220000−2i−2i2i2i20000000000-22-220000002-20000−2i2i0000002i−2i2i−2i2i−2i2i−2i000000000000002i−2i2i−2i000000000000000000
χ4522222222222-2-2-22-22222-2-2-2-2-2222-22-2-22-2002200-2-220022000000222220000002-2-2200000000-2-200000000-2-200002-2-2200002-2-220000000000-2-200220000000000000000
χ4622222222222-2-2-22-22222-2-2-2-2-2222-22-2-22-2002200-2-220022000000-2-2-2-220000002-2-2200000000-2-200000000220000-222-20000-222-200000000002200-2-20000000000000000
χ4722222222222-2-2-22-22222-2-2-2-2-2222-22-2-22-200-2-200-2-2200-2-200000022222000000-222-20000000022000000002200002-2-220000-222-20000000000-2-200-2-20000000000000000
χ4822222222222-2-2-22-22222-2-2-2-2-2222-22-2-22-200-2-200-2-2200-2-2000000-2-2-2-22000000-222-2000000002200000000-2-20000-222-200002-2-2200000000002200220000000000000000
χ4922222222222-2-2-22-22222-2-2-2-2-22-2-2-2222-2200002222-200002200002222-200000000002-2-22000000-2-20000-2-2000000-222-22-2-2200000000000000-2-222000000000000000000
χ5022222222222-2-2-22-22222-2-2-2-2-22-2-2-2222-2200002222-20000220000-2-2-2-2-200000000002-2-22000000-2-20000220000002-2-22-222-20000000000000022-2-2000000000000000000
χ5122222222222-2-2-22-22222-2-2-2-2-22-2-2-2222-220000-2-222-20000-2-200002222-20000000000-222-200000022000022000000-222-2-222-200000000000000-2-2-2-2000000000000000000
χ5222222222222-2-2-22-22222-2-2-2-2-22-2-2-2222-220000-2-222-20000-2-20000-2-2-2-2-20000000000-222-2000000220000-2-20000002-2-222-2-22000000000000002222000000000000000000
χ5322222222222-2-2-2-2-2-2-2-22222-2-2-2-2-22-2-2-2-222-200002-222-200002i2i−2i−2i2i2i−2i−2i20000-22000000002-2-22000000000000−2i−2i2i2i−2i−2i2i2i00000000000000002i−2i2i−2i00000000000000000000
χ5422222222222-2-2-2-2-2-2-2-22222-2-2-2-2-22-2-2-2-222-200002-222-20000−2i−2i2i2i−2i−2i2i2i20000-22000000002-2-220000000000002i2i−2i−2i2i2i−2i−2i0000000000000000−2i2i−2i2i00000000000000000000
χ5522222222222-2-2-2-2-2-2-2-22222-2-2-2-2-22-2-2-2-22-2200002-22-2200002i2i−2i−2i−2i−2i2i2i200002-200000000-222-2000000000000−2i−2i2i2i2i2i−2i−2i00000000000000002i−2i−2i2i00000000000000000000
χ5622222222222-2-2-2-2-2-2-2-22222-2-2-2-2-22-2-2-2-22-2200002-22-220000−2i−2i2i2i2i2i−2i−2i200002-200000000-222-20000000000002i2i−2i−2i−2i−2i2i2i0000000000000000−2i2i2i−2i00000000000000000000
χ57222222222-2-222-22-2222-22-2-22-2-2222-222-22222222-2-2222222200000000-20000-2-2-2-2-2-2-2-2-2-2-22-22222200000000000000000000000000000000000000000000000000000000
χ58222222222-2-222-22-2222-22-2-22-2-2222-222-2222-2-2-2-2-2-2222-2-2-2-200000000-20000-2-222222222-22-22-2-2-2-200000000000000000000000000000000000000000000000000000000
χ59222222222-2-222-22-2222-22-2-22-2-2222-222-22-2-222-2-2-2-22-2-222-2-200000000-2000022-2-2-2-222222-22-222-2-200000000000000000000000000000000000000000000000000000000
χ60222222222-2-222-22-2222-22-2-22-2-2222-222-22-2-2-2-222-2-22-2-2-2-22200000000-20000222222-2-2-2-22-22-2-2-22200000000000000000000000000000000000000000000000000000000
χ61222222222-2-222-22-2222-22-2-22-2-2-2-22-2-2-22-222000022-222000000000000200002200000000-2-2-2-200000000222200000000-2-2-2-2-2-2-2-200000000000022220000000000000000
χ62222222222-2-222-22-2222-22-2-22-2-2-2-22-2-2-22-222000022-222000000000000200002200000000-2-2-2-200000000-2-2-2-20000000022222222000000000000-2-2-2-20000000000000000
χ63222222222-2-222-22-2222-22-2-22-2-2-2-22-2-2-22-2-2-2000022-2-2-200000000000020000-2-20000000022220000000022-2-200000000-2-2-2-2222200000000000022-2-20000000000000000
χ64222222222-2-222-22-2222-22-2-22-2-2-2-22-2-2-22-2-2-2000022-2-2-200000000000020000-2-200000000222200000000-2-222000000002222-2-2-2-2000000000000-2-2220000000000000000
χ65222222222-2-222-2-2-2-2-2-2-2-2222-2222-22-2-2-22002-200-22-2002-2002i2i−2i−2i00002000000-22-2200000000-22000000−2i2i002i−2i2i−2i0000−2i2i−2i2i000000000000−2i2i002i−2i000000000000000000
χ66222222222-2-222-2-2-2-2-2-2-2-2222-2222-22-2-2-22002-200-22-2002-200−2i−2i2i2i00002000000-22-2200000000-220000002i−2i00−2i2i−2i2i00002i−2i2i−2i0000000000002i−2i00−2i2i000000000000000000
χ67222222222-2-222-2-2-2-2-2-2-2-2222-2222-22-2-2-2200-2200-22-200-22002i2i−2i−2i000020000002-22-2000000002-20000002i−2i002i−2i2i−2i00002i−2i2i−2i000000000000−2i2i00−2i2i000000000000000000
χ68222222222-2-222-2-2-2-2-2-2-2-2222-2222-22-2-2-2200-2200-22-200-2200−2i−2i2i2i000020000002-22-2000000002-2000000−2i2i00−2i2i−2i2i0000−2i2i−2i2i0000000000002i−2i002i−2i000000000000000000
χ69222222222-2-222-2-2-2-2-2-2-2-2222-22-2-2-22222-200002-22-2200002-22i2i−2i−2i0000-20000000000-22-22000000-22000000−2i2i−2i2i−2i2i00000000−2i2i−2i2i00000000−2i2i00002i−2i0000000000000000
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Here i is the imaginary unit (i² = −1).