Finite Group Databasebeta

← Group #152180

Character table — Group #152180

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1122244448888888888888888888881616161616161616323232323232
order12244244422222244444448888888822888888448888
χ111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ3111111111111-1-11111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1
χ4111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111-1-11111-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111
χ61111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ71111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-1
χ81111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ9111-1-1-1-1-1111-11-1-111-11-11-1ii−i−i11-1-11-1i−i1-11-1i−ii−ii−i
χ10111-1-1-1-1-1111-11-1-111-11-11-1−i−iii11-1-11-1−ii1-11-1−ii−ii−ii
χ11111-1-1-1-1-1111-1-11-111-1-111-1ii−i−i-1-111-11i−i1-1-11i−i−ii−ii
χ12111-1-1-1-1-1111-1-11-111-1-111-1−i−iii-1-111-11−ii1-1-11−iii−ii−i
χ13111-1-1-1-1-111-111-1-11-111-11-1ii−i−i-1-111-11i−i-111-1−ii−iii−i
χ14111-1-1-1-1-111-111-1-11-111-11-1−i−iii-1-111-11−ii-111-1i−ii−i−ii
χ15111-1-1-1-1-111-11-11-11-11-111-1ii−i−i11-1-11-1i−i-11-11−iii−i−ii
χ16111-1-1-1-1-111-11-11-11-11-111-1−i−iii11-1-11-1−ii-11-11i−i−iii−i
χ17222222222-20000-2-200002-200002222-2-2000000000000
χ18222222222-20000-2-200002-20000-2-2-2-222000000000000
χ19222222-2-2220022-2-20022-2200000000000000-2-2000000
χ20222222-2-22200-2-2-2-200-2-2-220000000000000022000000
χ21222222-2-22-22200222200-2-2000000000000-2-200000000
χ22222222-2-22-2-2-20022-2-200-2-20000000000002200000000
χ23222-2-2-22222002-22-2002-2-2-200000000000000-22000000
χ24222-2-2-2222200-222-200-22-2-2000000000000002-2000000
χ25222-2-2-2222-22-200-222-200-22000000000000-2200000000
χ26222-2-2-2222-2-2200-22-2200-220000000000002-200000000
χ27222-2-2-2-2-22-200002-2000022000022-2-2-22000000000000
χ28222-2-2-2-2-22-200002-20000220000-2-2222-2000000000000
χ2944444-400-400000000000002222000000-2-20000000000
χ3044444-400-40000000000000-2-2-2-2000000220000000000
χ31444-4-4400-400000000000002i2i−2i−2i000000−2i2i0000000000
χ32444-4-4400-40000000000000−2i−2i2i2i0000002i−2i0000000000
χ3344-44-400000222-200-2-2-220000002-22-200000000000000
χ3444-44-40000022-2200-2-22-2000000-22-2200000000000000
χ3544-44-400000-2-22-20022-22000000-22-2200000000000000
χ3644-44-400000-2-2-2200222-20000002-22-200000000000000
χ3744-4-44000002-22200-22-2-20000002-2-2200000000000000
χ3844-4-44000002-2-2-200-2222000000-222-200000000000000
χ3944-4-4400000-2222002-2-2-2000000-222-200000000000000
χ4044-4-4400000-22-2-2002-2220000002-2-2200000000000000
χ418-800004-4000000000000002i2−2i22i2−2i2000000000000000000
χ428-800004-400000000000000−2i22i2−2i22i2000000000000000000
χ438-80000-440000000000000022−22−2222000000000000000000
χ448-80000-4400000000000000−222222−22000000000000000000

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