Finite Group Databasebeta

← Group #72314750

Character table — Group #72314750

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222222244444488888888888888888888888161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222444444444444222222224444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ311111111111111111111111111111111111111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ411111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ91111111111111111111-1-1-1-1111111111111111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ101111111111111111111-1-1-1-1111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ111111111111111111111-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ121111111111111111111-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ131111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ141111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ151111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ161111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1
χ17111-1-11-1-111111-1-111-1-111111-1-11-11111-1-1-1-11-1-1-111111-1-1-1-1-11-1ii−i−i11-1-111-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−iii−i−iii−i−iii−i−i1-1i−i1-1i−i
χ18111-1-11-1-111111-1-111-1-111111-1-11-11111-1-1-1-11-1-1-111111-1-1-1-1-11-1−i−iii11-1-111-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii−i−iii−i−iii−i−iii1-1−ii1-1−ii
χ19111-1-11-1-111111-1-111-1-111111-1-11-11111-1-1-1-11-1-1-11111-11-1-1-1-1-11ii−i−i11-1-111-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i−i−iii−i−iii−i−iii-11i−i-11i−i
χ20111-1-11-1-111111-1-111-1-111111-1-11-11111-1-1-1-11-1-1-11111-11-1-1-1-1-11−i−iii11-1-111-1-1iiii−i−i−i−i-11−ii-1-111−i−iiiii−i−iii−i−iii−i−i-11−ii-11−ii
χ21111-1-11-1-111111-1-111-1-111111-1-11-1-1-1-1-111111-1-1-1-1-1-1-11-111111-1ii−i−i11-1-1-1-111−i−i−i−iiiii1-1i−i-1-111−i−iiiii−i−iii−i−i−i−iii1-1i−i-11−ii
χ22111-1-11-1-111111-1-111-1-111111-1-11-1-1-1-1-111111-1-1-1-1-1-1-11-111111-1−i−iii11-1-1-1-111iiii−i−i−i−i1-1−ii-1-111ii−i−i−i−iii−i−iiiii−i−i1-1−ii-11i−i
χ23111-1-11-1-111111-1-111-1-111111-1-11-1-1-1-1-111111-1-1-1-1-1-1-1-111111-11ii−i−i11-1-1-1-111iiii−i−i−i−i-11i−i11-1-1−i−iii−i−iii−i−iiiii−i−i-11i−i1-1−ii
χ24111-1-11-1-111111-1-111-1-111111-1-11-1-1-1-1-111111-1-1-1-1-1-1-1-111111-11−i−iii11-1-1-1-111−i−i−i−iiiii-11−ii11-1-1ii−i−iii−i−iii−i−i−i−iii-11−ii1-1i−i
χ25111-1-11-1-111111-1-111-1-1-1-1-1-11-1-11-11111-1-1-1-11-11111-1-11-1-1-1111-1ii−i−i-1-111-1-111iiii−i−i−i−i1-1i−i11-1-1ii−i−iii−i−i−i−iii−i−iii-11−ii-11−ii
χ26111-1-11-1-111111-1-111-1-1-1-1-1-11-1-11-11111-1-1-1-11-11111-1-11-1-1-1111-1−i−iii-1-111-1-111−i−i−i−iiiii1-1−ii11-1-1−i−iii−i−iiiii−i−iii−i−i-11i−i-11i−i
χ27111-1-11-1-111111-1-111-1-1-1-1-1-11-1-11-11111-1-1-1-11-11111-1-1-11-1-111-11ii−i−i-1-111-1-111−i−i−i−iiiii-11i−i-1-111ii−i−i−i−iiiii−i−iii−i−i1-1−ii1-1−ii
χ28111-1-11-1-111111-1-111-1-1-1-1-1-11-1-11-11111-1-1-1-11-11111-1-1-11-1-111-11−i−iii-1-111-1-111iiii−i−i−i−i-11−ii-1-111−i−iiiii−i−i−i−iii−i−iii1-1i−i1-1i−i
χ29111-1-11-1-111111-1-111-1-1-1-1-1-11-1-11-1-1-1-1-111111-111-1-1111-111-1-11-1ii−i−i-1-11111-1-1−i−i−i−iiiii1-1i−i-1-111−i−iiiii−i−i−i−iiiii−i−i-11−ii1-1i−i
χ30111-1-11-1-111111-1-111-1-1-1-1-1-11-1-11-1-1-1-1-111111-111-1-1111-111-1-11-1−i−iii-1-11111-1-1iiii−i−i−i−i1-1−ii-1-111ii−i−i−i−iiiii−i−i−i−iii-11i−i1-1−ii
χ31111-1-11-1-111111-1-111-1-1-1-1-1-11-1-11-1-1-1-1-111111-111-1-111-1111-1-1-11ii−i−i-1-11111-1-1iiii−i−i−i−i-11i−i11-1-1−i−iii−i−iiiii−i−i−i−iii1-1−ii-11i−i
χ32111-1-11-1-111111-1-111-1-1-1-1-1-11-1-11-1-1-1-1-111111-111-1-111-1111-1-1-11−i−iii-1-11111-1-1−i−i−i−iiiii-11−ii11-1-1ii−i−iii−i−i−i−iiiii−i−i1-1i−i-11−ii
χ332222222222222222-22-20000-2-22-2-222222222-2-200-2-20000-2-2000000000000000022-2-222-2-20000000000002-22-20000000000000000
χ342222222222222222-22-20000-2-22-2-222222222-2-200-2-20000-2-20000000000000000-2-222-2-222000000000000-22-220000000000000000
χ352222222222222222-22-20000-2-22-2-2-2-2-2-2-2-2-2-2-2-20022000022000000000000000022-2-222-2-2000000000000-22-220000000000000000
χ362222222222222222-22-20000-2-22-2-2-2-2-2-2-2-2-2-2-2-200220000220000000000000000-2-222-2-2220000000000002-22-20000000000000000
χ3722222222222-2-2-2-2-2222222222-2-2-200000000-2-2220000000000000000-2-2-2-200002i−2i2i−2i2i−2i2i−2i000000000000000000002i−2i2i−2i00000000
χ3822222222222-2-2-2-2-2222222222-2-2-200000000-2-2220000000000000000-2-2-2-20000−2i2i−2i2i−2i2i−2i2i00000000000000000000−2i2i−2i2i00000000
χ3922222222222-2-2-2-2-2222-2-2-2-222-2-2-200000000-2-2-2-20000000000000000222200002i−2i2i−2i2i−2i2i−2i00000000000000000000−2i2i−2i2i00000000
χ4022222222222-2-2-2-2-2222-2-2-2-222-2-2-200000000-2-2-2-2000000000000000022220000−2i2i−2i2i−2i2i−2i2i000000000000000000002i−2i2i−2i00000000
χ4122222222222-2-2-2-2-2-22-20000-2-2-22200000000220000220000220000000000-2-2-2-22i−2i−2i2i2i−2i−2i2i00000000000000002i−2i2i−2i000000000000
χ4222222222222-2-2-2-2-2-22-20000-2-2-22200000000220000220000220000000000-2-2-2-2−2i2i2i−2i−2i2i2i−2i0000000000000000−2i2i−2i2i000000000000
χ4322222222222-2-2-2-2-2-22-20000-2-2-22200000000220000-2-20000-2-2000000000022222i−2i−2i2i2i−2i−2i2i0000000000000000−2i2i−2i2i000000000000
χ4422222222222-2-2-2-2-2-22-20000-2-2-22200000000220000-2-20000-2-200000000002222−2i2i2i−2i−2i2i2i−2i00000000000000002i−2i2i−2i000000000000
χ45222222222-2-22222-22-2-20000-22-22-222-2-222-2-2-22002-200002-200002222000000000000000000-2-200002-22-200000000000000000000
χ46222222222-2-22222-22-2-20000-22-22-222-2-222-2-2-22002-200002-20000-2-2-2-2000000000000000000220000-22-2200000000000000000000
χ47222222222-2-22222-22-2-20000-22-22-2-2-222-2-222-2200-220000-2200002222000000000000000000-2-20000-22-2200000000000000000000
χ48222222222-2-22222-22-2-20000-22-22-2-2-222-2-222-2200-220000-220000-2-2-2-20000000000000000002200002-22-200000000000000000000
χ49222222222-2-22222-2-2-2200002-2-2-2222-2-222-2-22-200-220022-22002200000000000000000000-2-2002-22-2000000000000000000000000
χ50222222222-2-22222-2-2-2200002-2-2-2222-2-222-2-22-200-2200-2-2-2200-2-2000000000000000000002200-22-22000000000000000000000000
χ51222222222-2-22222-2-2-2200002-2-2-22-2-222-2-2222-2002-200222-2002200000000000000000000-2-200-22-22000000000000000000000000
χ52222222222-2-22222-2-2-2200002-2-2-22-2-222-2-2222-2002-200-2-22-200-2-20000000000000000000022002-22-2000000000000000000000000
χ53222-2-22-2-222222-2-22-2-220000-22-2-222222-2-2-2-2-2200-2-200002200000000000000002i2i−2i−2i−2i−2i2i2i0000000000002i−2i−2i2i0000000000000000
χ54222-2-22-2-222222-2-22-2-220000-22-2-222222-2-2-2-2-2200-2-20000220000000000000000−2i−2i2i2i2i2i−2i−2i000000000000−2i2i2i−2i0000000000000000
χ55222-2-22-2-222222-2-22-2-220000-22-2-22-2-2-2-22222-2200220000-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000−2i2i2i−2i0000000000000000
χ56222-2-22-2-222222-2-22-2-220000-22-2-22-2-2-2-22222-2200220000-2-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000002i−2i−2i2i0000000000000000
χ57222-2-22-2-2222-2-222-22-2-222222-22-2200000000-22-2-20000000000000000-2-22200002-22-2-22-22000000000000000000002-2-2200000000
χ58222-2-22-2-2222-2-222-22-2-222222-22-2200000000-22-2-20000000000000000-2-2220000-22-222-22-200000000000000000000-222-200000000
χ59222-2-22-2-2222-2-222-22-2-2-2-2-2-22-22-2200000000-2222000000000000000022-2-200002-22-2-22-2200000000000000000000-222-200000000
χ60222-2-22-2-2222-2-222-22-2-2-2-2-2-22-22-2200000000-2222000000000000000022-2-20000-22-222-22-2000000000000000000002-2-2200000000
χ61222-2-22-2-2222-2-222-2-2-220000-2222-2000000002-20000220000-2-20000000000-2-2222-2-22-222-200000000000000002-2-22000000000000
χ62222-2-22-2-2222-2-222-2-2-220000-2222-2000000002-20000220000-2-20000000000-2-222-222-22-2-220000000000000000-222-2000000000000
χ63222-2-22-2-2222-2-222-2-2-220000-2222-2000000002-20000-2-2000022000000000022-2-22-2-22-222-20000000000000000-222-2000000000000
χ64222-2-22-2-2222-2-222-2-2-220000-2222-2000000002-20000-2-2000022000000000022-2-2-222-22-2-2200000000000000002-2-22000000000000
χ65222-2-22-2-22-2-222-2-2-22220000-2-222222-2-2-2-222-2-2002-20000-2200002i2i−2i−2i000000000000000000−2i2i00002i−2i−2i2i00000000000000000000
χ66222-2-22-2-22-2-222-2-2-22220000-2-222222-2-2-2-222-2-2002-20000-220000−2i−2i2i2i0000000000000000002i−2i0000−2i2i2i−2i00000000000000000000
χ67222-2-22-2-22-2-222-2-2-22220000-2-2222-2-22222-2-2-2-200-2200002-200002i2i−2i−2i000000000000000000−2i2i0000−2i2i2i−2i00000000000000000000
χ68222-2-22-2-22-2-222-2-2-22220000-2-2222-2-22222-2-2-2-200-2200002-20000−2i−2i2i2i0000000000000000002i−2i00002i−2i−2i2i00000000000000000000
χ69222-2-22-2-22-2-222-2-2-2-22-20000222-2-222-2-2-2-2222200-22002-22-2002-200000000000000000000-22002-2-22000000000000000000000000
χ70222-2-22-2-22-2-222-2-2-2-22-20000222-2-222-2-2-2-2222200-2200-222-200-22000000000000000000002-200-222-2000000000000000000000000
χ71222-2-22-2-22-2-222-2-2-2-22-20000222-2-2-2-22222-2-222002-2002-2-22002-200000000000000000000-2200-222-2000000000000000000000000
χ72222-2-22-2-22-2-222-2-2-2-22-20000222-2-2-2-22222-2-222002-200-22-2200-22000000000000000000002-2002-2-22000000000000000000000000
χ73444444444-4-4-4-4-4-444-4-40000-444-44000000004-4000000000000000000000000000000000000000000000000000000000000000000
χ74444444444-4-4-4-4-4-44-4-4400004-444-400000000-44000000000000000000000000000000000000000000000000000000000000000000
χ75444-4-44-4-44-4-4-4-44444440000-4-4-4-4-40000000044000000000000000000000000000000000000000000000000000000000000000000
χ76444-4-44-4-44-4-4-4-4444-44-4000044-44400000000-4-4000000000000000000000000000000000000000000000000000000000000000000
χ7744-44-4-44-44004-44-4000022-2-200000004-4004-4002-2002-200002-20000002-22-22-22-20000000000000000000000000000000000000000
χ7844-44-4-44-44004-44-4000022-2-20000000-4400-44002-200-220000-220000002-22-2-22-220000000000000000000000000000000000000000
χ7944-44-4-44-44004-44-40000-2-22200000004-4004-400-2200-220000-22000000-22-22-22-220000000000000000000000000000000000000000
χ8044-44-4-44-44004-44-40000-2-2220000000-4400-4400-22002-200002-2000000-22-222-22-20000000000000000000000000000000000000000
χ8144-44-4-44-4400-44-44000022-2-2000004-4004-400002-2002-200002-2000000-22-22-22-220000000000000000000000000000000000000000
χ8244-44-4-44-4400-44-44000022-2-200000-4400-4400002-200-220000-22000000-22-222-22-20000000000000000000000000000000000000000
χ8344-44-4-44-4400-44-440000-2-222000004-4004-40000-2200-220000-220000002-22-22-22-20000000000000000000000000000000000000000
χ8444-44-4-44-4400-44-440000-2-22200000-4400-440000-22002-200002-20000002-22-2-22-220000000000000000000000000000000000000000
χ8544-4-44-4-444004-4-44000022-2-200000004-400-4400-22002-20000-220000002-2-222-2-220000000000000000000000000000000000000000
χ8644-4-44-4-444004-4-44000022-2-20000000-44004-400-2200-2200002-20000002-2-22-222-20000000000000000000000000000000000000000
χ8744-4-44-4-444004-4-440000-2-22200000004-400-44002-200-2200002-2000000-222-2-222-20000000000000000000000000000000000000000
χ8844-4-44-4-444004-4-440000-2-2220000000-44004-4002-2002-20000-22000000-222-22-2-220000000000000000000000000000000000000000
χ8944-4-44-4-44400-444-4000022-2-2000004-400-440000-22002-20000-22000000-222-2-222-20000000000000000000000000000000000000000
χ9044-4-44-4-44400-444-4000022-2-200000-44004-40000-2200-2200002-2000000-222-22-2-220000000000000000000000000000000000000000
χ9144-4-44-4-44400-444-40000-2-222000004-400-4400002-200-2200002-20000002-2-222-2-220000000000000000000000000000000000000000
χ9244-4-44-4-44400-444-40000-2-22200000-44004-400002-2002-20000-220000002-2-22-222-20000000000000000000000000000000000000000
χ9388888-8-8-8-800000000000000000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000
χ9488888-8-8-8-80000000000000000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000
χ95888-8-8-888-800000000000000000000000000000000000000000004-4-44000000000000000000000000000000000000000000000000
χ96888-8-8-888-80000000000000000000000000000000000000000000-444-4000000000000000000000000000000000000000000000000
χ9788-88-88-88-800000000000000000000000000000000000440000-4-40000000000000000000000000000000000000000000000000000
χ9888-88-88-88-800000000000000000000000000000000000-4-40000440000000000000000000000000000000000000000000000000000
χ9988-8-8888-8-8000000000000000000000000000000000004-40000-440000000000000000000000000000000000000000000000000000
χ10088-8-8888-8-800000000000000000000000000000000000-4400004-40000000000000000000000000000000000000000000000000000
χ10116-1600000008-800000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-1600000008-80000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-160000000-88000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-160000000-8800000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000

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