Finite Group Databasebeta

← Group #72260743

Character table — Group #72260743

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11112222222222444444444444444444444488888888888888888888888888888816161616161616161616161616161616161616161616161616163232323232323232
order1222222222444422222222444444444444442222224444444444444444444444442244444444444444448888888844448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1
χ91111111111111111-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111-11-11-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-1111111111111-11-11-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111
χ141111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-11111111111-1-1-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-11111-1-11111-1-1-1-11111-1-11111-1-1
χ161111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11-111111-1-111111111-1-1-1-111-1-1-1-111
χ17111111-1-1-1-111-1-1-1-1111111111-1iiii−i−i−i−i-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1-1-11111-1-1i−iii−i−iii−i−iii−i−i1-11-1i−ii−i
χ18111111-1-1-1-111-1-1-1-1111111111-1iiii−i−i−i−i-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-1-11111-1-111-1-1i−iii−i−i−i−iii−i−iii-11-11−ii−ii
χ19111111-1-1-1-111-1-1-1-1111111111-1iiii−i−i−i−i-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−i−i−iii−i−iii11-1-1-1-111-1-111−iiii−i−iii−i−iii−i−i-11-11−ii−ii
χ20111111-1-1-1-111-1-1-1-1111111111-1iiii−i−i−i−i-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−i−i−iii−i−iii-1-11111-1-1-1-111−iiii−i−i−i−iii−i−iii1-11-1i−ii−i
χ21111111-1-1-1-111-1-1-1-1111111111-1−i−i−i−iiiii-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-1-1-11111-1-1−ii−i−iii−i−iii−i−iii1-11-1−ii−ii
χ22111111-1-1-1-111-1-1-1-1111111111-1−i−i−i−iiiii-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii-1-11111-1-111-1-1−ii−i−iiiii−i−iii−i−i-11-11i−ii−i
χ23111111-1-1-1-111-1-1-1-1111111111-1−i−i−i−iiiii-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iiiii−i−iii−i−i11-1-1-1-111-1-111i−i−i−iii−i−iii−i−iii-11-11i−ii−i
χ24111111-1-1-1-111-1-1-1-1111111111-1−i−i−i−iiiii-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iiiii−i−iii−i−i-1-11111-1-1-1-111i−i−i−iiiii−i−iii−i−i1-11-1−ii−ii
χ25111111-1-1-1-111-1-1-1-1-1-1-1-111111-1iiii−i−i−i−i-1-11111-1-111-1-1-1-111−i−iiiii−i−iii−i−iii−i−i1-1-11-111-1-1-111−ii−i−iiiii−i−i−i−iii1-1-11i−i−ii
χ26111111-1-1-1-111-1-1-1-1-1-1-1-111111-1iiii−i−i−i−i-1-11111-1-111-1-1-1-111−i−iiiii−i−iii−i−iii−i−i-111-11-1-11-1-111−ii−i−iii−i−iiiii−i−i-111-1−iii−i
χ27111111-1-1-1-111-1-1-1-1-1-1-1-111111-1iiii−i−i−i−i-1-111-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iii1-1-11-111-111-1-1i−i−i−iiiii−i−i−i−iii-111-1−iii−i
χ28111111-1-1-1-111-1-1-1-1-1-1-1-111111-1iiii−i−i−i−i-1-111-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-111-11-1-1111-1-1i−i−i−iii−i−iiiii−i−i1-1-11i−i−ii
χ29111111-1-1-1-111-1-1-1-1-1-1-1-111111-1−i−i−i−iiiii-1-11111-1-111-1-1-1-111ii−i−i−i−iii−i−iii−i−iii1-1-11-111-1-1-111i−iii−i−i−i−iiiii−i−i1-1-11−iii−i
χ30111111-1-1-1-111-1-1-1-1-1-1-1-111111-1−i−i−i−iiiii-1-11111-1-111-1-1-1-111ii−i−i−i−iii−i−iii−i−iii-111-11-1-11-1-111i−iii−i−iii−i−i−i−iii-111-1i−i−ii
χ31111111-1-1-1-111-1-1-1-1-1-1-1-111111-1−i−i−i−iiiii-1-111-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i1-1-11-111-111-1-1−iiii−i−i−i−iiiii−i−i-111-1i−i−ii
χ32111111-1-1-1-111-1-1-1-1-1-1-1-111111-1−i−i−i−iiiii-1-111-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-111-11-1-1111-1-1−iiii−i−iii−i−i−i−iii1-1-11−iii−i
χ3322222222222222-2-222-2-2-2-22-2-2222222222-2-22-2000000002-22-20000-2-2-2-200000000000000000000002-22-20000000000000000
χ3422222222222222-2-222-2-2-2-22-2-22-2-2-2-2-2-2-2-2-2-22-2000000002-22-2000022220000000000000000000000-22-220000000000000000
χ3522222222222222-2-2-2-222-2-22-2-2222222222-2-2-2200000000-22-220000-2-2-2-20000000000000000000000-22-220000000000000000
χ3622222222222222-2-2-2-222-2-22-2-22-2-2-2-2-2-2-2-2-2-2-2200000000-22-220000222200000000000000000000002-22-20000000000000000
χ372222222222-2-2-2-22222-2-222-2-2-2-200000000-2-22-22222-2-2-2-2-22-220000000000000000000000002-22-20000000000000000000000
χ382222222222-2-2-2-22222-2-222-2-2-2-200000000-2-22-2-2-2-2-22222-22-22000000000000000000000000-22-220000000000000000000000
χ392222222222-2-2-2-222-2-22222-2-2-2-200000000-2-2-222222-2-2-2-22-22-2000000000000000000000000-22-220000000000000000000000
χ402222222222-2-2-2-222-2-22222-2-2-2-200000000-2-2-22-2-2-2-222222-22-20000000000000000000000002-22-20000000000000000000000
χ412222222222-2-2-2-2-2-22222-2-2-222-200000000222200000000-2-2-2-222220000-2-2-2-22222000000000000-2-200000000000000000000
χ422222222222-2-2-2-2-2-22222-2-2-222-200000000222200000000-2-2-2-2-2-2-2-200002222-2-2-2-20000000000002200000000000000000000
χ432222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-20000000022-2-2000000002222222200002222-2-2-2-2000000000000-2-200000000000000000000
χ442222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-20000000022-2-2000000002222-2-2-2-20000-2-2-2-222220000000000002200000000000000000000
χ45222222-2-2-2-222-2-22222-2-2-2-22-2-2-22i2i2i2i−2i−2i−2i−2i22-22000000002-2-220000−2i−2i2i2i00000000000000000000002i−2i−2i2i0000000000000000
χ46222222-2-2-2-222-2-22222-2-2-2-22-2-2-2−2i−2i−2i−2i2i2i2i2i22-22000000002-2-2200002i2i−2i−2i0000000000000000000000−2i2i2i−2i0000000000000000
χ47222222-2-2-2-222-2-222-2-222-2-22-2-2-22i2i2i2i−2i−2i−2i−2i222-200000000-222-20000−2i−2i2i2i0000000000000000000000−2i2i2i−2i0000000000000000
χ48222222-2-2-2-222-2-222-2-222-2-22-2-2-2−2i−2i−2i−2i2i2i2i2i222-200000000-222-200002i2i−2i−2i00000000000000000000002i−2i−2i2i0000000000000000
χ49222222-2-2-2-2-2-222222222-2-2-222200000000-2-2-2-200000000-2-2222i2i−2i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000−2i2i00000000000000000000
χ50222222-2-2-2-2-2-222222222-2-2-222200000000-2-2-2-200000000-2-222−2i−2i2i2i00002i2i−2i−2i−2i−2i2i2i0000000000002i−2i00000000000000000000
χ51222222-2-2-2-2-2-22222-2-2-2-2-2-2-222200000000-2-2220000000022-2-22i2i−2i−2i00002i2i−2i−2i−2i−2i2i2i000000000000−2i2i00000000000000000000
χ52222222-2-2-2-2-2-22222-2-2-2-2-2-2-222200000000-2-2220000000022-2-2−2i−2i2i2i0000−2i−2i2i2i2i2i−2i−2i0000000000002i−2i00000000000000000000
χ53222222-2-2-2-2-2-222-2-222-2-222-2-2-220000000022-2222-2-2-2-222-222-20000000000000000000000002-2-220000000000000000000000
χ54222222-2-2-2-2-2-222-2-222-2-222-2-2-220000000022-22-2-22222-2-2-222-2000000000000000000000000-222-20000000000000000000000
χ55222222-2-2-2-2-2-222-2-2-2-22222-2-2-2200000000222-222-2-2-2-2222-2-22000000000000000000000000-222-20000000000000000000000
χ56222222-2-2-2-2-2-222-2-2-2-22222-2-2-2200000000222-2-2-22222-2-22-2-220000000000000000000000002-2-220000000000000000000000
χ572222-2-222-2-2-2-2-2-22-200002-222-222i2i−2i−2i2i2i−2i−2i2-20000000000000000002i−2i2i−2i0000000002020-20-2000000000000002i−2i2i−2i00000000
χ582222-2-222-2-2-2-2-2-22-200002-222-222i2i−2i−2i2i2i−2i−2i2-20000000000000000002i−2i2i−2i000000000-20-2020200000000000000−2i2i−2i2i00000000
χ592222-2-222-2-2-2-2-2-22-200002-222-22−2i−2i2i2i−2i−2i2i2i2-2000000000000000000−2i2i−2i2i0000000002020-20-200000000000000−2i2i−2i2i00000000
χ602222-2-222-2-2-2-2-2-22-200002-222-22−2i−2i2i2i−2i−2i2i2i2-2000000000000000000−2i2i−2i2i000000000-20-20202000000000000002i−2i2i−2i00000000
χ612222-2-222-2-2-2-2-2-2-220000-222-2222i2i−2i−2i2i2i−2i−2i-22000000000000000000−2i2i−2i2i000000002020-20-2000000000002i−2i2i−2i000000000000
χ622222-2-222-2-2-2-2-2-2-220000-222-2222i2i−2i−2i2i2i−2i−2i-22000000000000000000−2i2i−2i2i00000000-20-2020200000000000−2i2i−2i2i000000000000
χ632222-2-222-2-2-2-2-2-2-220000-222-222−2i−2i2i2i−2i−2i2i2i-220000000000000000002i−2i2i−2i000000002020-20-200000000000−2i2i−2i2i000000000000
χ642222-2-222-2-2-2-2-2-2-220000-222-222−2i−2i2i2i−2i−2i2i2i-220000000000000000002i−2i2i−2i00000000-20-20202000000000002i−2i2i−2i000000000000
χ652222-2-2-2-222-2-2222-20000-222-22-222-2-2-2-2222-2000000000000000000-222-20000000020-2020-2000000000002-2-22000000000000
χ662222-2-2-2-222-2-2222-20000-222-22-222-2-2-2-2222-2000000000000000000-222-200000000-2020-20200000000000-222-2000000000000
χ672222-2-2-2-222-2-2222-20000-222-22-2-2-22222-2-22-20000000000000000002-2-220000000020-2020-200000000000-222-2000000000000
χ682222-2-2-2-222-2-2222-20000-222-22-2-2-22222-2-22-20000000000000000002-2-2200000000-2020-202000000000002-2-22000000000000
χ692222-2-2-2-222-2-222-2200002-222-2-222-2-2-2-222-220000000000000000002-2-2200000000020-2020-2000000000000002-2-2200000000
χ702222-2-2-2-222-2-222-2200002-222-2-222-2-2-2-222-220000000000000000002-2-22000000000-2020-20200000000000000-222-200000000
χ712222-2-2-2-222-2-222-2200002-222-2-2-2-22222-2-2-22000000000000000000-222-200000000020-2020-200000000000000-222-200000000
χ722222-2-2-2-222-2-222-2200002-222-2-2-2-22222-2-2-22000000000000000000-222-2000000000-2020-202000000000000002-2-2200000000
χ734444-4-444-4-444444-400004-4-4-44-400000000-440000000000000000000000000000000000000000000000000000000000000000
χ744444-4-444-4-44444-440000-44-44-4-4000000004-40000000000000000000000000000000000000000000000000000000000000000
χ754444-4-4-4-44444-4-44-40000-44-44-4400000000-440000000000000000000000000000000000000000000000000000000000000000
χ764444-4-4-4-44444-4-4-4400004-4-4-444000000004-40000000000000000000000000000000000000000000000000000000000000000
χ7744-4-4004-4004i−4i4i−4i0000000000002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i00002-22-22i−2i2i−2i0000000000002i−2i2i−2i2-22-20000000000000000000000000000000000
χ7844-4-4004-4004i−4i4i−4i0000000000002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i0000-22-22−2i2i−2i2i000000000000−2i2i−2i2i-22-220000000000000000000000000000000000
χ7944-4-4004-4004i−4i4i−4i000000000000−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i00002-22-22i−2i2i−2i000000000000−2i2i−2i2i-22-220000000000000000000000000000000000
χ8044-4-4004-4004i−4i4i−4i000000000000−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i0000-22-22−2i2i−2i2i0000000000002i−2i2i−2i2-22-20000000000000000000000000000000000
χ8144-4-4004-400−4i4i−4i4i0000000000002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i00002-22-2−2i2i−2i2i000000000000−2i2i−2i2i2-22-20000000000000000000000000000000000
χ8244-4-4004-400−4i4i−4i4i0000000000002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i0000-22-222i−2i2i−2i0000000000002i−2i2i−2i-22-220000000000000000000000000000000000
χ8344-4-4004-400−4i4i−4i4i000000000000−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i00002-22-2−2i2i−2i2i0000000000002i−2i2i−2i-22-220000000000000000000000000000000000
χ8444-4-4004-400−4i4i−4i4i000000000000−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i0000-22-222i−2i2i−2i000000000000−2i2i−2i2i2-22-20000000000000000000000000000000000
χ8544-4-400-44004i−4i−4i4i0000000000002−2i−2+2i−2−2i2+2i−2+2i2−2i2+2i−2−2i00002-2-222i−2i−2i2i0000000000002-2-22−2i2i2i−2i0000000000000000000000000000000000
χ8644-4-400-44004i−4i−4i4i0000000000002−2i−2+2i−2−2i2+2i−2+2i2−2i2+2i−2−2i0000-222-2−2i2i2i−2i000000000000-222-22i−2i−2i2i0000000000000000000000000000000000
χ8744-4-400-44004i−4i−4i4i000000000000−2+2i2−2i2+2i−2−2i2−2i−2+2i−2−2i2+2i00002-2-222i−2i−2i2i000000000000-222-22i−2i−2i2i0000000000000000000000000000000000
χ8844-4-400-44004i−4i−4i4i000000000000−2+2i2−2i2+2i−2−2i2−2i−2+2i−2−2i2+2i0000-222-2−2i2i2i−2i0000000000002-2-22−2i2i2i−2i0000000000000000000000000000000000
χ8944-4-400-4400−4i4i4i−4i0000000000002+2i−2−2i−2+2i2−2i−2−2i2+2i2−2i−2+2i00002-2-22−2i2i2i−2i0000000000002-2-222i−2i−2i2i0000000000000000000000000000000000
χ9044-4-400-4400−4i4i4i−4i0000000000002+2i−2−2i−2+2i2−2i−2−2i2+2i2−2i−2+2i0000-222-22i−2i−2i2i000000000000-222-2−2i2i2i−2i0000000000000000000000000000000000
χ9144-4-400-4400−4i4i4i−4i000000000000−2−2i2+2i2−2i−2+2i2+2i−2−2i−2+2i2−2i00002-2-22−2i2i2i−2i000000000000-222-2−2i2i2i−2i0000000000000000000000000000000000
χ9244-4-400-4400−4i4i4i−4i000000000000−2−2i2+2i2−2i−2+2i2+2i−2−2i−2+2i2−2i0000-222-22i−2i−2i2i0000000000002-2-222i−2i−2i2i0000000000000000000000000000000000
χ938-88-800008-800000000000000000000000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000000000
χ948-88-800008-80000000000000000000000000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000
χ958-88-80000-8800000000000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000
χ968-88-80000-880000000000000000000000000000000000000000-444-40000000000000000000000000000000000000000000000
χ978-8-888-80000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-888-8000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-8-88-8800000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-880000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000

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