Finite Group Databasebeta

← Group #11713948

Character table — Group #11713948

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11222334444446668812121212121216161616161616161616161616161624242424484848484848
order1224422222244244362222446666666661212121212124444248888
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ4111111111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-11-11-111111-1-11-11-11-1-1-1-111-1-11111-1-11111-1-11-11-1
χ61111111-1-11-11-111111-1-11-11-11-1-1-1-111-1-11111-1-1-1-1-1-111-11-11
χ71111111-1-1-11-1111111-1-1-11-111-1-1-1-1-1-11111-1-1111111-1-1-11-11
χ81111111-1-1-11-1111111-1-1-11-111-1-1-1-1-1-11111-1-111-1-1-1-1111-11-1
χ92222222222222222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ10222222222-2-2-2-2222-1-122-2-2-2-2-1-1-1-1-11111-1-111110000000000
χ112222222-2-22-22-2222-1-1-2-22-22-2-11111-1-111-1-1-1-1110000000000
χ122222222-2-2-22-22222-1-1-2-2-22-22-1111111-1-1-1-111-1-10000000000
χ13222-2-2222-200002-2-2222-20000222-2-20000-2-200000000000000
χ14222-2-2222-200002-2-2-1-12-20000-1-1-111i3−i3i3−i311i3−i3i3−i30000000000
χ15222-2-2222-200002-2-2-1-12-20000-1-1-111−i3i3−i3i311−i3i3−i3i30000000000
χ16222-2-222-2200002-2-222-2200002-2-2220000-2-200000000000000
χ17222-2-222-2200002-2-2-1-1-220000-111-1-1i3−i3−i3i311i3−i3−i3i30000000000
χ18222-2-222-2200002-2-2-1-1-220000-111-1-1−i3i3i3−i311−i3i3i3−i30000000000
χ1922-22-22200020-2-22-22200020-2-2000000222-200-2-20000000000
χ2022-22-22200020-2-22-2-1-100020-21i3−i3i3−i3i3−i3-1-1-11−i3i3110000000000
χ2122-22-22200020-2-22-2-1-100020-21−i3i3−i3i3−i3i3-1-1-11i3−i3110000000000
χ2222-22-222000-202-22-222000-202-2000000-2-22-200220000000000
χ2322-22-222000-202-22-2-1-1000-2021i3−i3i3−i3−i3i311-11i3−i3-1-10000000000
χ2422-22-222000-202-22-2-1-1000-2021−i3i3−i3i3i3−i311-11−i3i3-1-10000000000
χ2522-2-22220020-20-2-22220020-20-200002200-22-2-2000000000000
χ2622-2-22220020-20-2-22-1-10020-201i3−i3−i3i3-1-1i3−i31-111−i3i30000000000
χ2722-2-22220020-20-2-22-1-10020-201−i3i3i3−i3-1-1−i3i31-111i3−i30000000000
χ2822-2-222200-2020-2-222200-2020-20000-2-200-2222000000000000
χ2922-2-222200-2020-2-22-1-100-20201i3−i3−i3i311−i3i31-1-1-1i3−i30000000000
χ3022-2-222200-2020-2-22-1-100-20201−i3i3i3−i311i3−i31-1-1-1−i3i30000000000
χ3133333-1-1333333-1-1-100-1-1-1-1-1-100000000000000011-1-11-111-1-1
χ3233333-1-1333333-1-1-100-1-1-1-1-1-1000000000000000-1-111-11-1-111
χ3333333-1-133-3-3-3-3-1-1-100-1-1111100000000000000011-1-11-1-1-111
χ3433333-1-133-3-3-3-3-1-1-100-1-11111000000000000000-1-111-1111-1-1
χ3533333-1-1-3-33-33-3-1-1-10011-11-1100000000000000011-1-1-111-1-11
χ3633333-1-1-3-33-33-3-1-1-10011-11-11000000000000000-1-1111-1-111-1
χ3733333-1-1-3-3-33-33-1-1-100111-11-100000000000000011-1-1-11-111-1
χ3833333-1-1-3-3-33-33-1-1-100111-11-1000000000000000-1-1111-11-1-11
χ394-4000-440000000004-40000000000000000000002-22-2000000
χ404-4000-440000000004-4000000000000000000000-22-22000000
χ41666-6-6-2-26-60000-22200-2200000000000000000000000000000
χ42666-6-6-2-2-660000-222002-200000000000000000000000000000
χ4366-66-6-2-200060-62-2200000-2020000000000000000000000000
χ4466-66-6-2-2000-6062-220000020-20000000000000000000000000
χ4566-6-66-2-20060-6022-20000-20200000000000000000000000000
χ4666-6-66-2-200-606022-2000020-200000000000000000000000000
χ478-8000-88000000000-440000000000000000000000000000000
χ4812-120004-4000000000000000000000000000000002-2-22000000
χ4912-120004-400000000000000000000000000000000-222-2000000

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