Finite Group Databasebeta

← Group #72314996

Character table — Group #72314996

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112222222444444888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232646464646464
order12222222222222222222222222444444442222444444444444444444444444444444442444444444444444444444444444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ91111111111111111111-1-1-1-1111111-1-1-1-1111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ101111111111111111111-1-1-1-1111111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ111111111111111111111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ121111111111111111111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1
χ131111111111111111111-1-1-1-1111111-1-1-1-11-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ141111111111111111111-1-1-1-1111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ151111111111111111111-1-1-1-1111111-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ161111111111111111111-1-1-1-1111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111
χ17111-1-11-1-111111-1-111-1-111-1-11-1-111-111-1-1-1111-1-1-11-111-1-1ii−i−i11-1-111-1-111-1-1iiii−i−i−i−i1-1i−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1-1i−ii−i
χ18111-1-11-1-111111-1-111-1-111-1-11-1-111-111-1-1-1111-1-1-11-111-1-1−i−iii11-1-111-1-111-1-1−i−i−i−iiiii1-1−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii1-1−ii−ii
χ19111-1-11-1-111111-1-111-1-111-1-11-1-111-111-1-1-1111-1-1-11-1-1-111ii−i−i11-1-111-1-111-1-1−i−i−i−iiiii-11i−i-1-111-1-111ii−i−i−i−iii−i−iii−i−iii-11i−ii−i
χ20111-1-11-1-111111-1-111-1-111-1-11-1-111-111-1-1-1111-1-1-11-1-1-111−i−iii11-1-111-1-111-1-1iiii−i−i−i−i-11−ii-1-111-1-111−i−iiiii−i−iii−i−iii−i−i-11−ii−ii
χ21111-1-11-1-111111-1-111-1-111-1-11-1-111-111-1-1-1-1-1-1111-1111-1-1ii−i−i11-1-1-1-111-1-111iiii−i−i−i−i1-1i−i11-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-11−ii−ii
χ22111-1-11-1-111111-1-111-1-111-1-11-1-111-111-1-1-1-1-1-1111-1111-1-1−i−iii11-1-1-1-111-1-111−i−i−i−iiiii1-1−ii11-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-11i−ii−i
χ23111-1-11-1-111111-1-111-1-111-1-11-1-111-111-1-1-1-1-1-1111-11-1-111ii−i−i11-1-1-1-111-1-111−i−i−i−iiiii-11i−i-1-11111-1-1ii−i−i−i−iiiii−i−iii−i−i1-1−ii−ii
χ24111-1-11-1-111111-1-111-1-111-1-11-1-111-111-1-1-1-1-1-1111-11-1-111−i−iii11-1-1-1-111-1-111iiii−i−i−i−i-11−ii-1-11111-1-1−i−iiiii−i−i−i−iii−i−iii1-1i−ii−i
χ25111-1-11-1-111111-1-111-1-1-1-1111-1-111-1-1-111-111-11-1-1-1111-1-1ii−i−i-1-11111-1-1-1-111−i−i−i−iiiii1-1i−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-11−iii−i
χ26111-1-11-1-111111-1-111-1-1-1-1111-1-111-1-1-111-111-11-1-1-1111-1-1−i−iii-1-11111-1-1-1-111iiii−i−i−i−i1-1−ii-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-11i−i−ii
χ27111-1-11-1-111111-1-111-1-1-1-1111-1-111-1-1-111-111-11-1-1-11-1-111ii−i−i-1-11111-1-1-1-111iiii−i−i−i−i-11i−i11-1-1-1-111−i−iii−i−iii−i−iiiii−i−i1-1−iii−i
χ28111-1-11-1-111111-1-111-1-1-1-1111-1-111-1-1-111-111-11-1-1-11-1-111−i−iii-1-11111-1-1-1-111−i−i−i−iiiii-11−ii11-1-1-1-111ii−i−iii−i−iii−i−i−i−iii1-1i−i−ii
χ29111-1-11-1-111111-1-111-1-1-1-1111-1-111-1-1-111-1-1-11-1111-111-1-1ii−i−i-1-111-1-11111-1-1−i−i−i−iiiii1-1i−i-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i1-1i−i−ii
χ30111-1-11-1-111111-1-111-1-1-1-1111-1-111-1-1-111-1-1-11-1111-111-1-1−i−iii-1-111-1-11111-1-1iiii−i−i−i−i1-1−ii-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii1-1−iii−i
χ31111-1-11-1-111111-1-111-1-1-1-1111-1-111-1-1-111-1-1-11-1111-1-1-111ii−i−i-1-111-1-11111-1-1iiii−i−i−i−i-11i−i11-1-111-1-1−i−iii−i−iiiii−i−i−i−iii-11i−i−ii
χ32111-1-11-1-111111-1-111-1-1-1-1111-1-111-1-1-111-1-1-11-1111-1-1-111−i−iii-1-111-1-11111-1-1−i−i−i−iiiii-11−ii11-1-111-1-1ii−i−iii−i−i−i−iiiii−i−i-11−iii−i
χ33222222222222222-2-2222-22-22-2-2-2-2-22-22-2-200000000222200002-22-20000000000000000-2-2002-22-200000000000000000000000000
χ34222222222222222-2-2222-22-22-2-2-2-2-22-22-2-200000000-2-2-2-200002-22-200000000000000002200-22-2200000000000000000000000000
χ35222222222222222-2-222-22-222-2-2-2-2-2-22-22-20000000022220000-22-220000000000000000-2-200-22-2200000000000000000000000000
χ36222222222222222-2-222-22-222-2-2-2-2-2-22-22-200000000-2-2-2-20000-22-22000000000000000022002-22-200000000000000000000000000
χ372222222222-2-22-2-2-2-22-20000-2-2-22220000222002200000000000000-2-2-2-200002i2i−2i−2i2i2i−2i−2i0000000000000000000000002i−2i2i−2i000000
χ382222222222-2-22-2-2-2-22-20000-2-2-22220000222002200000000000000-2-2-2-20000−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i2i−2i2i000000
χ392222222222-2-22-2-2-2-22-20000-2-2-222200002-2-200-2-200000000000000222200002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i000000
χ402222222222-2-22-2-2-2-22-20000-2-2-222200002-2-200-2-20000000000000022220000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i000000
χ41222222222-222-2222-2-2-22222-2-222-222222-20000000000000000-2-2-2-2000000002-22-22-22-200000000000000002-22-200000000000000
χ42222222222-222-2222-2-2-22222-2-222-222222-20000000000000000-2-2-2-200000000-22-22-22-220000000000000000-22-2200000000000000
χ43222222222-222-2222-2-2-2-2-2-2-2-2-222-22-2-2-2-2-200000000000000002222000000002-22-22-22-20000000000000000-22-2200000000000000
χ44222222222-222-2222-2-2-2-2-2-2-2-2-222-22-2-2-2-2-20000000000000000222200000000-22-22-22-2200000000000000002-22-200000000000000
χ45222222222-222-222-22-2-22-22-2-22-2-22-22-22-220000000000002222-22-22000000000000000000-2-2000000002-22-2000000000000000000
χ46222222222-222-222-22-2-22-22-2-22-2-22-22-22-22000000000000-2-2-2-2-22-220000000000000000002200000000-22-22000000000000000000
χ47222222222-222-222-22-2-2-22-22-22-2-22-2-22-22200000000000022222-22-2000000000000000000-2-200000000-22-22000000000000000000
χ48222222222-222-222-22-2-2-22-22-22-2-22-2-22-222000000000000-2-2-2-22-22-200000000000000000022000000002-22-2000000000000000000
χ49222222222-2-2-2-2-2-2-22-22000022-22-220000-2002200220000000000000000-2-2-2-22i−2i−2i2i2i−2i−2i2i000000000000000000002i−2i2i−2i0000000000
χ50222222222-2-2-2-2-2-2-22-22000022-22-220000-2002200220000000000000000-2-2-2-2−2i2i2i−2i−2i2i2i−2i00000000000000000000−2i2i−2i2i0000000000
χ51222222222-2-2-2-2-2-2-22-22000022-22-220000-200-2-200-2-2000000000000000022222i−2i−2i2i2i−2i−2i2i00000000000000000000−2i2i−2i2i0000000000
χ52222222222-2-2-2-2-2-2-22-22000022-22-220000-200-2-200-2-200000000000000002222−2i2i2i−2i−2i2i2i−2i000000000000000000002i−2i2i−2i0000000000
χ53222-2-22-2-222222-2-2-2-2-2-22-2-22222-2-222-2-2220000000022-2-200002-2-220000000000000000-22002-2-2200000000000000000000000000
χ54222-2-22-2-222222-2-2-2-2-2-22-2-22222-2-222-2-22200000000-2-22200002-2-2200000000000000002-200-222-200000000000000000000000000
χ55222-2-22-2-222222-2-2-2-2-2-2-222-2222-2-22-222-220000000022-2-20000-222-20000000000000000-2200-222-200000000000000000000000000
χ56222-2-22-2-222222-2-2-2-2-2-2-222-2222-2-22-222-2200000000-2-2220000-222-200000000000000002-2002-2-2200000000000000000000000000
χ57222-2-22-2-222-2-2222-2-2-220000-22222-20000-22200-2-200000000000000-2-222000022-2-2-2-2220000000000000000000000002-2-22000000
χ58222-2-22-2-222-2-2222-2-2-220000-22222-20000-22200-2-200000000000000-2-2220000-2-22222-2-2000000000000000000000000-222-2000000
χ59222-2-22-2-222-2-2222-2-2-220000-22222-20000-2-2-200220000000000000022-2-2000022-2-2-2-222000000000000000000000000-222-2000000
χ60222-2-22-2-222-2-2222-2-2-220000-22222-20000-2-2-200220000000000000022-2-20000-2-22222-2-20000000000000000000000002-2-22000000
χ61222-2-22-2-22-222-2-2-22-22222-2-2-22-22-2-222-2-220000000000000000-2-222000000002i−2i2i−2i−2i2i−2i2i00000000000000002i−2i−2i2i00000000000000
χ62222-2-22-2-22-222-2-2-22-22222-2-2-22-22-2-222-2-220000000000000000-2-22200000000−2i2i−2i2i2i−2i2i−2i0000000000000000−2i2i2i−2i00000000000000
χ63222-2-22-2-22-222-2-2-22-222-2-222-22-22-2-2-2-2222000000000000000022-2-2000000002i−2i2i−2i−2i2i−2i2i0000000000000000−2i2i2i−2i00000000000000
χ64222-2-22-2-22-222-2-2-22-222-2-222-22-22-2-2-2-2222000000000000000022-2-200000000−2i2i−2i2i2i−2i2i−2i00000000000000002i−2i−2i2i00000000000000
χ65222-2-22-2-22-222-2-2-2-22222-2-22-2-22-2222-2-22-20000000000002i2i−2i−2i-222-2000000000000000000−2i2i000000002i−2i−2i2i000000000000000000
χ66222-2-22-2-22-222-2-2-2-22222-2-22-2-22-2222-2-22-2000000000000−2i−2i2i2i-222-20000000000000000002i−2i00000000−2i2i2i−2i000000000000000000
χ67222-2-22-2-22-222-2-2-2-2222-222-2-2-22-222-222-2-20000000000002i2i−2i−2i2-2-22000000000000000000−2i2i00000000−2i2i2i−2i000000000000000000
χ68222-2-22-2-22-222-2-2-2-2222-222-2-2-22-222-222-2-2000000000000−2i−2i2i2i2-2-220000000000000000002i−2i000000002i−2i−2i2i000000000000000000
χ69222-2-22-2-22-2-2-2-222-222-200002-222-2-200002002-2002-20000000000000000-2-2222-2-22-222-2000000000000000000002-2-220000000000
χ70222-2-22-2-22-2-2-2-222-222-200002-222-2-200002002-2002-20000000000000000-2-222-222-22-2-2200000000000000000000-222-20000000000
χ71222-2-22-2-22-2-2-2-222-222-200002-222-2-20000200-2200-22000000000000000022-2-22-2-22-222-200000000000000000000-222-20000000000
χ72222-2-22-2-22-2-2-2-222-222-200002-222-2-20000200-2200-22000000000000000022-2-2-222-22-2-22000000000000000000002-2-220000000000
χ734444444444-4-44-4-4444-40000-444-4-4-40000-40000000000000000000000000000000000000000000000000000000000000000000000
χ74444444444-4-4-4-4-4-44-4-4400004-44-44-4000040000000000000000000000000000000000000000000000000000000000000000000000
χ75444-4-44-4-444-4-444444-440000-4-4-4-4-44000040000000000000000000000000000000000000000000000000000000000000000000000
χ76444-4-44-4-44-4-4-4-4444-44-4000044-4-4440000-40000000000000000000000000000000000000000000000000000000000000000000000
χ7744-44-4-44-4404-404-4000004040000000-40-402-22-22-2-220000000000002-22-22-22-2000000000000000000000000000000000000000000
χ7844-44-4-44-4404-404-4000004040000000-40-40-22-22-222-2000000000000-22-22-22-22000000000000000000000000000000000000000000
χ7944-44-4-44-4404-404-400000-40-4000000040402-2-222-22-20000000000002-22-2-22-22000000000000000000000000000000000000000000
χ8044-44-4-44-4404-404-400000-40-400000004040-222-2-22-22000000000000-22-222-22-2000000000000000000000000000000000000000000
χ8144-44-4-44-440-440-4400004040000000-40-4002-2-222-22-2000000000000-22-222-22-2000000000000000000000000000000000000000000
χ8244-44-4-44-440-440-4400004040000000-40-400-222-2-22-220000000000002-22-2-22-22000000000000000000000000000000000000000000
χ8344-44-4-44-440-440-440000-40-40000000404002-22-22-2-22000000000000-22-22-22-22000000000000000000000000000000000000000000
χ8444-44-4-44-440-440-440000-40-4000000040400-22-22-222-20000000000002-22-22-22-2000000000000000000000000000000000000000000
χ8544-4-44-4-44404-40-440000040-40000000-40402-222-22-2-20000000000002-2-222-2-22000000000000000000000000000000000000000000
χ8644-4-44-4-44404-40-440000040-40000000-4040-22-2-22-222000000000000-222-2-222-2000000000000000000000000000000000000000000
χ8744-4-44-4-44404-40-4400000-404000000040-402-2-2-2-22220000000000002-2-22-222-2000000000000000000000000000000000000000000
χ8844-4-44-4-44404-40-4400000-404000000040-40-22222-2-2-2000000000000-222-22-2-22000000000000000000000000000000000000000000
χ8944-4-44-4-4440-4404-4000040-40000000-404002-2-2-2-2222000000000000-222-22-2-22000000000000000000000000000000000000000000
χ9044-4-44-4-4440-4404-4000040-40000000-40400-22222-2-2-20000000000002-2-22-222-2000000000000000000000000000000000000000000
χ9144-4-44-4-4440-4404-40000-404000000040-4002-222-22-2-2000000000000-222-2-222-2000000000000000000000000000000000000000000
χ9244-4-44-4-4440-4404-40000-404000000040-400-22-2-22-2220000000000002-2-222-2-22000000000000000000000000000000000000000000
χ9388888-8-8-8-800000000000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000
χ9488888-8-8-8-80000000000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000
χ95888-8-8-888-800000000000000000000000000000000000004-4-44000000000000000000000000000000000000000000000000000000
χ96888-8-8-888-80000000000000000000000000000000000000-444-4000000000000000000000000000000000000000000000000000000
χ9788-88-88-88-80000000000000000000000000000000004-44-40000000000000000000000000000000000000000000000000000000000
χ9888-88-88-88-8000000000000000000000000000000000-44-440000000000000000000000000000000000000000000000000000000000
χ9988-8-8888-8-80000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000000000000000
χ10088-8-8888-8-8000000000000000000000000000000000-444-40000000000000000000000000000000000000000000000000000000000
χ10116-160000000800-800000000000000000000000000000000000000000000000000000000000000000004i−4i0000000000000000000000
χ10216-160000000800-80000000000000000000000000000000000000000000000000000000000000000000−4i4i0000000000000000000000
χ10316-160000000-8008000000000000000000000000000000000000000000000000000000000000000004-4000000000000000000000000
χ10416-160000000-800800000000000000000000000000000000000000000000000000000000000000000-44000000000000000000000000

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