Finite Group Databasebeta

← Group #72262287

Character table — Group #72262287

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11222222244444444444444444488888888888888888161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222224444444422222222222224444222222224444444444444444448888888844448888888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1
χ91111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-11-111-1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−i
χ101111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-11-111-1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii−i−iii−i−i−i−iiiii11-1-1−i−iii
χ111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1-11-1-1111111-1-1-1-1iiii−i−i−i−i-1-111−i−iiiii−i−i−i−iiiiiii−i−i−i−i-1-111−i−iii
χ121111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1-11-1-1111111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i−i−iiiii−i−i−i−i−i−iiiii-1-111ii−i−i
χ131111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1111-111-1-1-1-1-1-11111iiii−i−i−i−i11-1-1ii−i−iii−i−iii−i−i−i−i−i−iiiii-1-111−i−iii
χ141111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1111-111-1-1-1-1-1-11111−i−i−i−iiiii11-1-1−i−iii−i−iii−i−iiiiiii−i−i−i−i-1-111ii−i−i
χ151111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-111-11-1-111-1-1-1-11111iiii−i−i−i−i-1-111−i−iiiii−i−i−i−iii−i−i−i−iiiii11-1-1ii−i−i
χ161111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-111-11-1-111-1-1-1-11111−i−i−i−iiiii-1-111ii−i−i−i−iiiii−i−iiiii−i−i−i−i11-1-1−i−iii
χ1711111111111-1-1-1-111111111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-111111-111111-1-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-11-1−i−iii−i−iiiii−i−iii−i−iii−i−i1-11-1i−ii−i
χ1811111111111-1-1-1-111111111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-111111-111111-1-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-11-1ii−i−iii−i−i−i−iii−i−iii−i−iii1-11-1−ii−ii
χ1911111111111-1-1-1-111111111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-11111-111111-1111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-11-11ii−i−i−i−iii−i−iiiii−i−iii−i−i-11-11−ii−ii
χ2011111111111-1-1-1-111111111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-11111-111111-1111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-11-11−i−iiiii−i−iii−i−i−i−iii−i−iii-11-11i−ii−i
χ2111111111111-1-1-1-111111111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-11111111111iiii−i−i−i−i1-11-1−i−iii−i−iiiii−i−i−i−iii−i−iii-11-11−ii−ii
χ2211111111111-1-1-1-111111111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-11111111111−i−i−i−iiiii1-11-1ii−i−iii−i−i−i−iiiii−i−iii−i−i-11-11i−ii−i
χ2311111111111-1-1-1-111111111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-111111111iiii−i−i−i−i-11-11ii−i−i−i−iii−i−iii−i−iii−i−iii1-11-1i−ii−i
χ2411111111111-1-1-1-111111111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-111111111−i−i−i−iiiii-11-11−i−iiiii−i−iii−i−iii−i−iii−i−i1-11-1−ii−ii
χ2511111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-11
χ2611111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-11111-1-11-1-11-111-1
χ2711111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-111-11111-1-1-1-1-1-1-1-111-1-1-1-111-111-1-111-1
χ2811111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-11111-1-1-111-11-1-11
χ2911111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-111-1
χ3011111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-111-1-1-1-111-111-11-1-11
χ3111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-111111111-111-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-1-11
χ3211111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-1111-1-11-111-1
χ33222222222222222-2-2-2-2222222222-2-222-2-2-2-2-2-2-2-22222-2-200000000000000000000000022-2-222-2-2000000002-22-200000000000000000000
χ34222222222222222-2-2-2-2222222222-2-222-2-2-2-2-2-2-2-22222-2-2000000000000000000000000-2-222-2-22200000000-22-2200000000000000000000
χ35222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-22222222222-2-2-2-2-2-20000000000000000000000002i2i−2i−2i−2i−2i2i2i000000002i−2i−2i2i00000000000000000000
χ36222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-22222222222-2-2-2-2-2-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000−2i2i2i−2i00000000000000000000
χ3722222222222-2-2-2-2-2-2-2-22222-2-2-2-22-2-2-2-2-2-2-2-2222222-2-2220000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i00000000000000000000
χ3822222222222-2-2-2-2-2-2-2-22222-2-2-2-22-2-2-2-2-2-2-2-2222222-2-222000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i00000000000000000000
χ3922222222222-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2222200000000000000000000000022-2-222-2-200000000-22-2200000000000000000000
χ4022222222222-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-22222000000000000000000000000-2-222-2-222000000002-22-200000000000000000000
χ41222222222-2-222-2-2222222222222-2-2-22-222-2-222-2-2-2-2-2-22-200002200002222220000000000000000-2-2-2-20000000000000000000000000000
χ42222222222-2-222-2-2222222222222-2-2-22-222-2-222-2-2-2-2-2-22-20000-2-20000-2-2-2-2-2-2000000000000000022220000000000000000000000000000
χ43222222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-22-2-2-222-2-22222222-200002-200002-222-2-20000000000000000-2-2220000000000000000000000000000
χ44222222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-22-2-2-222-2-22222222-20000-220000-22-2-222000000000000000022-2-20000000000000000000000000000
χ45222222222-2-222-2-2-2-2-2-222222222-2222-2-2-222-2-222-2-2-2-2-220000000000000000000000000000000000002-22-200002-22-20000000000000000
χ46222222222-2-222-2-2-2-2-2-222222222-2222-2-2-222-2-222-2-2-2-2-22000000000000000000000000000000000000-22-220000-22-220000000000000000
χ47222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-222-2-222-2-22222-220000000000000000000000000000000000002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ48222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-222-2-222-2-22222-22000000000000000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ49222222222-2-2-2-22222222222-2-2-2-2-2-2-2-2222-2-2-2-222-2-222-2200002-200002-2-2-2220000000000000000-22-220000000000000000000000000000
χ50222222222-2-2-2-22222222222-2-2-2-2-2-2-2-2222-2-2-2-222-2-222-220000-220000-2222-2-200000000000000002-22-20000000000000000000000000000
χ51222222222-2-2-2-2222222-2-2-2-22222-2-2-2-22-2-22222-2-222-2-2-22000022000022-2-2-2-20000000000000000-222-20000000000000000000000000000
χ52222222222-2-2-2-2222222-2-2-2-22222-2-2-2-22-2-22222-2-222-2-2-220000-2-20000-2-2222200000000000000002-2-220000000000000000000000000000
χ53222222222-2-2-2-222-2-2-2-22222-2-2-2-2-222-22-2-22222-2-2-2-2222-20000000000000000000000000000000000002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ54222222222-2-2-2-222-2-2-2-22222-2-2-2-2-222-22-2-22222-2-2-2-2222-2000000000000000000000000000000000000−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ55222222222-2-2-2-222-2-2-2-2-2-2-2-22222-222-2222-2-2-2-22222-2-22-20000000000000000000000000000000000002-22-20000-22-220000000000000000
χ56222222222-2-2-2-222-2-2-2-2-2-2-2-22222-222-2222-2-2-2-22222-2-22-2000000000000000000000000000000000000-22-2200002-22-20000000000000000
χ57222-2-22-2-2222000022-2-2000022-2-2-22-20000002-22-2002-20000220000-2-200000022-2-200002i−2i2i−2i2i−2i2i−2i0000000000000000002i−2i2i−2i0000000000
χ58222-2-22-2-2222000022-2-2000022-2-2-22-20000002-22-2002-20000220000-2-200000022-2-20000−2i2i−2i2i−2i2i−2i2i000000000000000000−2i2i−2i2i0000000000
χ59222-2-22-2-2222000022-2-2000022-2-2-22-20000002-22-2002-20000-2-2000022000000-2-22200002i−2i2i−2i2i−2i2i−2i000000000000000000−2i2i−2i2i0000000000
χ60222-2-22-2-2222000022-2-2000022-2-2-22-20000002-22-2002-20000-2-2000022000000-2-2220000−2i2i−2i2i−2i2i−2i2i0000000000000000002i−2i2i−2i0000000000
χ61222-2-22-2-2222000022-2-20000-2-222-22-2000000-22-2200-220000220000-2-2000000-2-22200002-22-2-22-22000000000000000000-222-20000000000
χ62222-2-22-2-2222000022-2-20000-2-222-22-2000000-22-2200-220000220000-2-2000000-2-2220000-22-222-22-20000000000000000002-2-220000000000
χ63222-2-22-2-2222000022-2-20000-2-222-22-2000000-22-2200-220000-2-200002200000022-2-200002-22-2-22-220000000000000000002-2-220000000000
χ64222-2-22-2-2222000022-2-20000-2-222-22-2000000-22-2200-220000-2-200002200000022-2-20000-22-222-22-2000000000000000000-222-20000000000
χ65222-2-22-2-22220000-2-222000022-2-2-2-22000000-22-22002-200220000-2-200000000000022-2-22i−2i−2i2i2i−2i−2i2i00000000000000002i−2i00002i−2i00000000
χ66222-2-22-2-22220000-2-222000022-2-2-2-22000000-22-22002-200220000-2-200000000000022-2-2−2i2i2i−2i−2i2i2i−2i0000000000000000−2i2i0000−2i2i00000000
χ67222-2-22-2-22220000-2-222000022-2-2-2-22000000-22-22002-200-2-2000022000000000000-2-2222i−2i−2i2i2i−2i−2i2i0000000000000000−2i2i0000−2i2i00000000
χ68222-2-22-2-22220000-2-222000022-2-2-2-22000000-22-22002-200-2-2000022000000000000-2-222−2i2i2i−2i−2i2i2i−2i00000000000000002i−2i00002i−2i00000000
χ69222-2-22-2-22220000-2-2220000-2-222-2-220000002-22-200-2200220000-2-2000000000000-2-2222-2-22-222-200000000000000002-20000-2200000000
χ70222-2-22-2-22220000-2-2220000-2-222-2-220000002-22-200-2200220000-2-2000000000000-2-222-222-22-2-220000000000000000-2200002-200000000
χ71222-2-22-2-22220000-2-2220000-2-222-2-220000002-22-200-2200-2-200002200000000000022-2-22-2-22-222-20000000000000000-2200002-200000000
χ72222-2-22-2-22220000-2-2220000-2-222-2-220000002-22-200-2200-2-200002200000000000022-2-2-222-22-2-2200000000000000002-20000-2200000000
χ73444-4-44-4-44-4-4000044-4-4000044-4-44-440000004-4-4400-44000000000000000000000000000000000000000000000000000000000000000000
χ74444-4-44-4-44-4-4000044-4-40000-4-4444-44000000-444-4004-4000000000000000000000000000000000000000000000000000000000000000000
χ75444-4-44-4-44-4-40000-4-444000044-4-444-4000000-444-400-44000000000000000000000000000000000000000000000000000000000000000000
χ76444-4-44-4-44-4-40000-4-4440000-4-44444-40000004-4-44004-4000000000000000000000000000000000000000000000000000000000000000000
χ7744-44-4-44-44000044000000004-44-40000-4000000004-400002-22-2002-22-20000002-22-22-22-20000000000000000000000000000000000000000
χ7844-44-4-44-44000044000000004-44-40000-4000000004-40000-22-2200-22-22000000-22-22-22-220000000000000000000000000000000000000000
χ7944-44-4-44-4400004400000000-44-440000-400000000-4400002-2-22002-2-220000002-22-2-22-220000000000000000000000000000000000000000
χ8044-44-4-44-4400004400000000-44-440000-400000000-440000-222-200-222-2000000-22-222-22-20000000000000000000000000000000000000000
χ8144-44-4-44-440000-4-4000000004-44-40000400000000-4400002-2-22002-2-22000000-22-222-22-20000000000000000000000000000000000000000
χ8244-44-4-44-440000-4-4000000004-44-40000400000000-440000-222-200-222-20000002-22-2-22-220000000000000000000000000000000000000000
χ8344-44-4-44-440000-4-400000000-44-4400004000000004-400002-22-2002-22-2000000-22-22-22-220000000000000000000000000000000000000000
χ8444-44-4-44-440000-4-400000000-44-4400004000000004-40000-22-2200-22-220000002-22-22-22-20000000000000000000000000000000000000000
χ8544-4-44-4-444004400000044-4-44-4-44000-40000000000000002-22-200-22-220000002-2-222-2-220000000000000000000000000000000000000000
χ8644-4-44-4-444004400000044-4-44-4-44000-4000000000000000-22-22002-22-2000000-222-2-222-20000000000000000000000000000000000000000
χ8744-4-44-4-4440044000000-4-444-444-4000-40000000000000002-2-2200-222-20000002-2-22-222-20000000000000000000000000000000000000000
χ8844-4-44-4-4440044000000-4-444-444-4000-4000000000000000-222-2002-2-22000000-222-22-2-220000000000000000000000000000000000000000
χ8944-4-44-4-44400-4-400000044-4-4-444-400040000000000000002-22-200-22-22000000-222-2-222-20000000000000000000000000000000000000000
χ9044-4-44-4-44400-4-400000044-4-4-444-40004000000000000000-22-22002-22-20000002-2-222-2-220000000000000000000000000000000000000000
χ9144-4-44-4-44400-4-4000000-4-4444-4-4400040000000000000002-2-2200-222-2000000-222-22-2-220000000000000000000000000000000000000000
χ9244-4-44-4-44400-4-4000000-4-4444-4-440004000000000000000-222-2002-2-220000002-2-22-222-20000000000000000000000000000000000000000
χ9344-4-4-4444-40000004-44-44-44-40000000004-400000000000000000400000-44-400000000000000000000000000000000000000000000000000
χ9444-4-4-4444-40000004-44-44-44-40000000004-400000000000000000-4000004-4400000000000000000000000000000000000000000000000000
χ9544-4-4-4444-40000004-44-4-44-44000000000-4400000000000000000400000-4-4400000000000000000000000000000000000000000000000000
χ9644-4-4-4444-40000004-44-4-44-44000000000-4400000000000000000-40000044-400000000000000000000000000000000000000000000000000
χ9744-4-4-4444-4000000-44-444-44-4000000000-440000000000000000400000-40004-4000000000000000000000000000000000000000000000000
χ9844-4-4-4444-4000000-44-444-44-4000000000-440000000000000000-4000004000-44000000000000000000000000000000000000000000000000
χ9944-4-4-4444-4000000-44-44-44-440000000004-40000000000000000400000-4000-44000000000000000000000000000000000000000000000000
χ10044-4-4-4444-4000000-44-44-44-440000000004-40000000000000000-40000040004-4000000000000000000000000000000000000000000000000
χ1018888-8-8-88-800000000008-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028888-8-8-88-80000000000-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ103888-88-88-8-800000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000
χ104888-88-88-8-80000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8888-8-8-80000008-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8888-8-8-8000000-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10716-1600000008-88-88-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10816-1600000008-8-88-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10916-160000000-888-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-160000000-88-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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