Finite Group Databasebeta

← Group #72314981

Character table — Group #72314981

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112222222444444888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222444444442222444444444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ911111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1011111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ1211111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1
χ1311111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ1411111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ1511111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ1611111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-111
χ171111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-1-1-11-11-11-11-1ii−i−iii−i−i11-1-111-1-111-1-11111-1-1-1-11111i−ii−i-1-1ii−i−iii−i−i11-1-1-1-111i−ii−ii−ii−i
χ181111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-1-1-11-11-11-11-1ii−i−i−i−iii11-1-111-1-111-1-1-1-1-1-11111-1-1-1-1i−i−ii11ii−i−i−i−iii-1-11111-1-1i−i−iii−i−ii
χ191111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-1-1-11-11-11-11-1−i−iiiii−i−i11-1-111-1-111-1-1-1-1-1-11111-1-1-1-1−iii−i11−i−iiiii−i−i-1-11111-1-1−iii−i−iii−i
χ201111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-1-1-11-11-11-11-1−i−iii−i−iii11-1-111-1-111-1-11111-1-1-1-11111−ii−ii-1-1−i−iii−i−iii11-1-1-1-111−ii−ii−ii−ii
χ211111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-1-1-1-11-11-11-11ii−i−iii−i−i11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1i−ii−i11ii−i−iii−i−i11-1-111-1-1−ii−ii−ii−ii
χ221111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-1-1-1-11-11-11-11ii−i−i−i−iii11-1-1-1-111-1-111-1-1-1-111111111i−i−ii-1-1ii−i−i−i−iii-1-111-1-111−iii−i−iii−i
χ231111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-1-1-1-11-11-11-11−i−iiiii−i−i11-1-1-1-111-1-111-1-1-1-111111111−iii−i-1-1−i−iiiii−i−i-1-111-1-111i−i−iii−i−ii
χ241111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-1-1-1-11-11-11-11−i−iii−i−iii11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1−ii−ii11−i−iii−i−iii11-1-111-1-1i−ii−ii−ii−i
χ251111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-111-1-11ii−i−iii−i−i-1-11111-1-1-1-111-1-1-1-111111111i−ii−i11−i−iii−i−iii11-1-1-1-1-1-1i−i−ii−iii−i
χ261111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-111-1-11ii−i−i−i−iii-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1i−i−ii-1-1−i−iiiii−i−i-1-1111111i−ii−i−ii−ii
χ271111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-111-1-11−i−iiiii−i−i-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1−iii−i-1-1ii−i−i−i−iii-1-1111111−ii−iii−ii−i
χ281111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-111-1-11−i−iii−i−iii-1-11111-1-1-1-111-1-1-1-111111111−ii−ii11ii−i−iii−i−i11-1-1-1-1-1-1−iii−ii−i−ii
χ291111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1ii−i−iii−i−i-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1i−ii−i-1-1−i−iii−i−iii11-1-11111−iii−ii−i−ii
χ301111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1ii−i−i−i−iii-1-111-1-11111-1-11111-1-1-1-11111i−i−ii11−i−iiiii−i−i-1-111-1-1-1-1−ii−iii−ii−i
χ311111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1−i−iiiii−i−i-1-111-1-11111-1-11111-1-1-1-11111−iii−i11ii−i−i−i−iii-1-111-1-1-1-1i−ii−i−ii−ii
χ321111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1−i−iii−i−iii-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1−ii−ii-1-1ii−i−iii−i−i11-1-11111i−i−ii−iii−i
χ332222222222222222-2-2222222-2-2-2-22222-2-20000000000000000-2-2-2-20000000022-2-222-2-20000000000000000002-22-2000000000000
χ342222222222222222-2-2222222-2-2-2-22222-2-20000000000000000-2-2-2-200000000-2-222-2-222000000000000000000-22-22000000000000
χ352222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022220000000022-2-222-2-2000000000000000000-22-22000000000000
χ362222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222200000000-2-222-2-2220000000000000000002-22-2000000000000
χ37222222222-22222-2-22-2-2-222-2-22-22-222-2-22-200000000000022222-22-20000000000000000000000-2-20000002-22-20000000000000000
χ38222222222-22222-2-22-2-2-222-2-22-22-222-2-22-2000000000000-2-2-2-22-22-2000000000000000000000022000000-22-220000000000000000
χ39222222222-22222-2-22-2-2-2-2-2222-22-2-2-2222-20000000000002222-22-220000000000000000000000-2-2000000-22-220000000000000000
χ40222222222-22222-2-22-2-2-2-2-2222-22-2-2-2222-2000000000000-2-2-2-2-22-220000000000000000000000220000002-22-20000000000000000
χ41222222222-22222-2-2-22-2-222-2-2-22-2222-2-2-220000000022220000-22-2200000000000000000000-2-200002-22-200000000000000000000
χ42222222222-22222-2-2-22-2-222-2-2-22-2222-2-2-2200000000-2-2-2-20000-22-2200000000000000000000220000-22-2200000000000000000000
χ43222222222-22222-2-2-22-2-2-2-222-22-22-2-222-2200000000222200002-22-200000000000000000000-2-20000-22-2200000000000000000000
χ44222222222-22222-2-2-22-2-2-2-222-22-22-2-222-2200000000-2-2-2-200002-22-2000000000000000000002200002-22-200000000000000000000
χ45222222222-2-2-2-2-2-222-22-200002-2-220000-22002200220000000000000000-2-2-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000002i−2i0000000000
χ46222222222-2-2-2-2-2-222-22-200002-2-220000-22002200220000000000000000-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i000000000000000000−2i2i0000000000
χ47222222222-2-2-2-2-2-222-22-200002-2-220000-2200-2-200-2-2000000000000000022222i−2i2i−2i2i−2i2i−2i−2i−2i2i2i000000000000000000−2i2i0000000000
χ48222222222-2-2-2-2-2-222-22-200002-2-220000-2200-2-200-2-200000000000000002222−2i2i−2i2i−2i2i−2i2i2i2i−2i−2i0000000000000000002i−2i0000000000
χ49222222222-2-2-2-2-2-22-222-20000-222-200002-222002200000000000000-2-2-2-200002i−2i−2i2i2i−2i−2i2i000000002i−2i000000000000002i−2i00000000
χ50222222222-2-2-2-2-2-22-222-20000-222-200002-222002200000000000000-2-2-2-20000−2i2i2i−2i−2i2i2i−2i00000000−2i2i00000000000000−2i2i00000000
χ51222222222-2-2-2-2-2-22-222-20000-222-200002-2-2-200-2-200000000000000222200002i−2i−2i2i2i−2i−2i2i00000000−2i2i00000000000000−2i2i00000000
χ52222222222-2-2-2-2-2-22-222-20000-222-200002-2-2-200-2-20000000000000022220000−2i2i2i−2i−2i2i2i−2i000000002i−2i000000000000002i−2i00000000
χ532222-2-2-2-22222-2-222-2-2-2-2222222-2-2-2-2-2-2220000000000000000-2-2220000000022-2-2-2-2220000000000000000002-2-22000000000000
χ542222-2-2-2-22222-2-222-2-2-2-2222222-2-2-2-2-2-2220000000000000000-2-22200000000-2-22222-2-2000000000000000000-222-2000000000000
χ552222-2-2-2-22222-2-222-2-2-2-2-2-2-2-222-2-2222222000000000000000022-2-20000000022-2-2-2-222000000000000000000-222-2000000000000
χ562222-2-2-2-22222-2-222-2-2-2-2-2-2-2-222-2-2222222000000000000000022-2-200000000-2-22222-2-20000000000000000002-2-22000000000000
χ572222-2-2-2-22-222-2-2-2-22-22222-2-2-222-2-2-222-220000000000002i2i−2i−2i2-2-220000000000000000000000−2i2i0000002i−2i−2i2i0000000000000000
χ582222-2-2-2-22-222-2-2-2-22-22222-2-2-222-2-2-222-22000000000000−2i−2i2i2i2-2-2200000000000000000000002i−2i000000−2i2i2i−2i0000000000000000
χ592222-2-2-2-22-222-2-2-2-22-222-2-222-222-222-2-2-220000000000002i2i−2i−2i-222-20000000000000000000000−2i2i000000−2i2i2i−2i0000000000000000
χ602222-2-2-2-22-222-2-2-2-22-222-2-222-222-222-2-2-22000000000000−2i−2i2i2i-222-200000000000000000000002i−2i0000002i−2i−2i2i0000000000000000
χ612222-2-2-2-22-222-2-2-2-2-222222-2-22-2-22-2-2222-2000000002i2i−2i−2i0000-222-200000000000000000000−2i2i00002i−2i−2i2i00000000000000000000
χ622222-2-2-2-22-222-2-2-2-2-222222-2-22-2-22-2-2222-200000000−2i−2i2i2i0000-222-2000000000000000000002i−2i0000−2i2i2i−2i00000000000000000000
χ632222-2-2-2-22-222-2-2-2-2-2222-2-2222-2-2222-2-22-2000000002i2i−2i−2i00002-2-2200000000000000000000−2i2i0000−2i2i2i−2i00000000000000000000
χ642222-2-2-2-22-222-2-2-2-2-2222-2-2222-2-2222-2-22-200000000−2i−2i2i2i00002-2-22000000000000000000002i−2i00002i−2i−2i2i00000000000000000000
χ652222-2-2-2-22-2-2-222-222-2-220000-22-2200002-2002-2002-20000000000000000-2-2222i−2i2i−2i−2i2i−2i2i2i2i−2i−2i000000000000000000−2i2i0000000000
χ662222-2-2-2-22-2-2-222-222-2-220000-22-2200002-2002-2002-20000000000000000-2-222−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i0000000000000000002i−2i0000000000
χ672222-2-2-2-22-2-2-222-222-2-220000-22-2200002-200-2200-22000000000000000022-2-22i−2i2i−2i−2i2i−2i2i−2i−2i2i2i0000000000000000002i−2i0000000000
χ682222-2-2-2-22-2-2-222-222-2-220000-22-2200002-200-2200-22000000000000000022-2-2−2i2i−2i2i2i−2i2i−2i2i2i−2i−2i000000000000000000−2i2i0000000000
χ692222-2-2-2-22-2-2-222-22-22-2200002-22-20000-222-2002-200000000000000-2-22200002i−2i−2i2i−2i2i2i−2i00000000−2i2i000000000000002i−2i00000000
χ702222-2-2-2-22-2-2-222-22-22-2200002-22-20000-222-2002-200000000000000-2-2220000−2i2i2i−2i2i−2i−2i2i000000002i−2i00000000000000−2i2i00000000
χ712222-2-2-2-22-2-2-222-22-22-2200002-22-20000-22-2200-220000000000000022-2-200002i−2i−2i2i−2i2i2i−2i000000002i−2i00000000000000−2i2i00000000
χ722222-2-2-2-22-2-2-222-22-22-2200002-22-20000-22-2200-220000000000000022-2-20000−2i2i2i−2i2i−2i−2i2i00000000−2i2i000000000000002i−2i00000000
χ734444444444-4-4-4-44-444-44000044-4-40000-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ744444444444-4-4-4-44-4-4-4-440000-4-4440000440000000000000000000000000000000000000000000000000000000000000000000000
χ754444-4-4-4-444-4-4444-4444-40000-4-4-4-40000440000000000000000000000000000000000000000000000000000000000000000000000
χ764444-4-4-4-444-4-4444-4-4-44-4000044440000-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ7744-4-44-4-44404-44-4000000004-40000004-400222-2-2-2-220000000000002-22-22-22-2000000000000000000000000000000000000000000
χ7844-4-44-4-44404-44-4000000004-40000004-400-2-2-22222-2000000000000-22-22-22-22000000000000000000000000000000000000000000
χ7944-4-44-4-44404-44-400000000-44000000-440022-22-2-22-20000000000002-22-2-22-22000000000000000000000000000000000000000000
χ8044-4-44-4-44404-44-400000000-44000000-4400-2-22-222-22000000000000-22-222-22-2000000000000000000000000000000000000000000
χ8144-4-44-4-4440-44-440000004-40000004-40000222-2-2-2-22000000000000-22-22-22-22000000000000000000000000000000000000000000
χ8244-4-44-4-4440-44-440000004-40000004-40000-2-2-22222-20000000000002-22-22-22-2000000000000000000000000000000000000000000
χ8344-4-44-4-4440-44-44000000-44000000-44000022-22-2-22-2000000000000-22-222-22-2000000000000000000000000000000000000000000
χ8444-4-44-4-4440-44-44000000-44000000-440000-2-22-222-220000000000002-22-2-22-22000000000000000000000000000000000000000000
χ8544-4-4-444-4404-4-44000000004-4000000-44002-222-22-2-20000000000002-2-222-2-22000000000000000000000000000000000000000000
χ8644-4-4-444-4404-4-44000000004-4000000-4400-22-2-22-222000000000000-222-2-222-2000000000000000000000000000000000000000000
χ8744-4-4-444-4404-4-4400000000-440000004-4002-2-2-2-22220000000000002-2-22-222-2000000000000000000000000000000000000000000
χ8844-4-4-444-4404-4-4400000000-440000004-400-22222-2-2-2000000000000-222-22-2-22000000000000000000000000000000000000000000
χ8944-4-4-444-440-444-40000004-4000000-4400002-222-22-2-2000000000000-222-2-222-2000000000000000000000000000000000000000000
χ9044-4-4-444-440-444-40000004-4000000-440000-22-2-22-2220000000000002-2-222-2-22000000000000000000000000000000000000000000
χ9144-4-4-444-440-444-4000000-440000004-400002-2-2-2-2222000000000000-222-22-2-22000000000000000000000000000000000000000000
χ9244-4-4-444-440-444-4000000-440000004-40000-22222-2-2-20000000000002-2-22-222-2000000000000000000000000000000000000000000
χ93888-888-8-8-800000000000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000
χ94888-888-8-8-80000000000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000
χ95888-8-8-888-800000000000000000000000000000000000004-4-44000000000000000000000000000000000000000000000000000000
χ96888-8-8-888-80000000000000000000000000000000000000-444-4000000000000000000000000000000000000000000000000000000
χ9788-888-88-8-80000000000000000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ9888-888-88-8-8000000000000000000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ9988-88-88-88-80000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000000000000000
χ10088-88-88-88-8000000000000000000000000000000000-444-40000000000000000000000000000000000000000000000000000000000
χ10116-16000000080000-800000000000000000000000000000000000000000000000000000004i−4i4i−4i000000000000000000000000000000
χ10216-16000000080000-80000000000000000000000000000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000
χ10316-160000000-80000800000000000000000000000000000000000000000000000000000004-4-44000000000000000000000000000000
χ10416-160000000-8000080000000000000000000000000000000000000000000000000000000-444-4000000000000000000000000000000

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