Finite Group Databasebeta

← Group #253339

Character table — Group #253339

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244444444444222444444444444422444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-11-1111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-111-1111111-1-1-111-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111-1-1-111-1111111-1-1-1-1-11-11-1-1-1-1-111-1-111
χ511111111111111111-1-1111-1-11-1-111-1-111-1111-11-11-11111-1-1-1-1
χ611111111111111111-1-1111-1-11-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-11111
χ711111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-11-1111-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-11-1-11111-1-1
χ9111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-111-11-1-1-1-11-11-1
χ10111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-11-11
χ11111111111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-111111-11-1-11-1-1-1111-1-11
χ12111111111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1111-1-1111-11-111-1-1-111-1
χ13111111111-1-1-1-11111-1-1111-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-11-11
χ14111111111-1-1-1-11111-1-1111-1-1111-1-111-1-11-1-1-11-1-1-1-111111-11-1
χ15111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-111-1-1-1111-1-111-111-1
χ16111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-11-1111111-1-11-1-11
χ172222222222222-2-2-2-20022-200-200-2-200220000000-2000000000
χ182222222222222-2-2-2-200-2-2200200-2-200-2-200000002000000000
χ19222222222-2-2-2-2-2-2-2-20022-200-2002200-2-200000002000000000
χ20222222222-2-2-2-2-2-2-2-200-2-22002002200220000000-2000000000
χ21222222-2-2-2000022-2-2222-2-2-2-2200000000000000-20200000000
χ22222222-2-2-2000022-2-222-222-2-2-20000000000000020-200000000
χ23222222-2-2-2000022-2-2-2-22-2-22220000000000000020-200000000
χ24222222-2-2-2000022-2-2-2-2-22222-200000000000000-20200000000
χ25222222-2-2-20000-2-222002-2200-22200-2-200-20002000000000000
χ26222222-2-2-20000-2-222002-2200-2-2-20022002000-2000000000000
χ27222222-2-2-20000-2-22200-22-20022200-2-2002000-2000000000000
χ28222222-2-2-20000-2-22200-22-2002-2-2002200-20002000000000000
χ292222-2-2-2-222i2i−2i−2i2-22-200000000002i−2i000000020-2000002i−2i0000
χ302222-2-2-2-222i2i−2i−2i2-22-200000000002i−2i0000000-20200000−2i2i0000
χ312222-2-2-2-222i2i−2i−2i-22-220000000000−2i2i000002-20000002i−2i000000
χ322222-2-2-2-222i2i−2i−2i-22-220000000000−2i2i00000-22000000−2i2i000000
χ332222-2-2-2-22−2i−2i2i2i2-22-20000000000−2i2i000000020-200000−2i2i0000
χ342222-2-2-2-22−2i−2i2i2i2-22-20000000000−2i2i0000000-202000002i−2i0000
χ352222-2-2-2-22−2i−2i2i2i-22-2200000000002i−2i000002-2000000−2i2i000000
χ362222-2-2-2-22−2i−2i2i2i-22-2200000000002i−2i00000-220000002i−2i000000
χ374444-4-444-400004-4-44000000000000000000000000000000000
χ384444-4-444-40000-444-4000000000000000000000000000000000
χ3944-4-4004i−4i02+2i−2−2i2−2i−2+2i00002-20002i−2i02i−2i002-20000000000000000000
χ4044-4-4004i−4i02+2i−2−2i2−2i−2+2i0000-22000−2i2i0−2i2i00-220000000000000000000
χ4144-4-4004i−4i0−2−2i2+2i−2+2i2−2i00002-20002i−2i0−2i2i00-220000000000000000000
χ4244-4-4004i−4i0−2−2i2+2i−2+2i2−2i0000-22000−2i2i02i−2i002-20000000000000000000
χ4344-4-400−4i4i02−2i−2+2i2+2i−2−2i00002-2000−2i2i0−2i2i002-20000000000000000000
χ4444-4-400−4i4i02−2i−2+2i2+2i−2−2i0000-220002i−2i02i−2i00-220000000000000000000
χ4544-4-400−4i4i0−2+2i2−2i−2−2i2+2i00002-2000−2i2i02i−2i00-220000000000000000000
χ4644-4-400−4i4i0−2+2i2−2i−2−2i2+2i0000-220002i−2i0−2i2i002-20000000000000000000
χ478-88-88-800000000000000000000000000000000000000000000
χ488-88-8-8800000000000000000000000000000000000000000000
χ498-8-880000000000000000000000000004-400000000000000000
χ508-8-88000000000000000000000000000-4400000000000000000

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