Finite Group Databasebeta

← Group #485603

Character table — Group #485603

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244224444444222244444444444422444444444448888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-1-1-111-1-11111-1-111-11-11111-1-1-1-1
χ41111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-11111
χ51111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111-11-1-1-1-111-1-1
χ61111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-111111-1-111
χ71111111111111-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-111
χ81111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1111111-1-1
χ9111111-1-111-1-1-11111-1-111-1-1-1-111-1-1-1-1111-1-111-111-111-1-11-11-1
χ10111111-1-111-1-1-11111-1-111-1-1-1-111-1-1-1-111-11-11-1111-1-1-111-11-11
χ11111111-1-111-1-1-11111-1-1-1-1-1-111-1-1-1-111111-11-11-1-11111-1-1-11-11
χ12111111-1-111-1-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-11-111-1-1111-11-1
χ13111111-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-11-11-11-1-1-1-1111-1-11
χ14111111-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-111-1-111-1-111-1-1-111-1
χ15111111-1-111-1-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-111-1-1-11-1-111-111-1
χ16111111-1-111-1-1-1-1-1-1-111-1-1-1-1111111-1-111-11-11-11-1-1111-1-11-1-11
χ17222222222222222222200-2-20000-2-200-2-20000000-2000000000
χ182222222222222-2-2-2-2-2-200-2-200002200-2-200000002000000000
χ1922222222-2-22-2-2000000002-2002200222-200-2-20000000000000
χ2022222222-2-22-2-2000000002-200-2-200-2-22-200220000000000000
χ2122222222-2-22-2-200000022-2222000000-22000000-20-200000000
χ2222222222-2-22-2-2000000-2-2-22-2-2000000-2200000020200000000
χ23222222-2-222-2-2-22222-2-2002200002200-2-20000000-2000000000
χ24222222-2-222-2-2-2-2-2-2-22200220000-2-200-2-200000002000000000
χ25222222-2-2-2-2-22200000000-22002200-2-22-2002-20000000000000
χ26222222-2-2-2-2-22200000000-2200-2-200222-200-220000000000000
χ27222222-2-2-2-2-222000000222-2-2-2000000-22000000-20200000000
χ28222222-2-2-2-2-222000000-2-22-222000000-2200000020-200000000
χ294444-4-44400-400000000000000000000002-200-2200000000000
χ304444-4-44400-40000000000000000000000-22002-200000000000
χ314444-4-4-4-400400000000000000000000002200-2-200000000000
χ324444-4-4-4-40040000000000000000000000-2-2002200000000000
χ3344-4-4004i−4i000002i2i−2i−2i2-22-2002i−2i2i−2i002-20000000000000000000
χ3444-4-4004i−4i000002i2i−2i−2i2-2-2200−2i2i−2i2i00-220000000000000000000
χ3544-4-4004i−4i00000−2i−2i2i2i-222-2002i−2i−2i2i00-220000000000000000000
χ3644-4-4004i−4i00000−2i−2i2i2i-22-2200−2i2i2i−2i002-20000000000000000000
χ3744-4-400−4i4i000002i2i−2i−2i-222-200−2i2i2i−2i00-220000000000000000000
χ3844-4-400−4i4i000002i2i−2i−2i-22-22002i−2i−2i2i002-20000000000000000000
χ3944-4-400−4i4i00000−2i−2i2i2i2-22-200−2i2i−2i2i002-20000000000000000000
χ4044-4-400−4i4i00000−2i−2i2i2i2-2-22002i−2i2i−2i00-220000000000000000000
χ414-4-444-4004-4000000000000000004i−4i000000000000000000000
χ424-4-444-4004-400000000000000000−4i4i000000000000000000000
χ434-4-444-400-440004-44-4000000000000000000000000000000000
χ444-4-444-400-44000-44-44000000000000000000000000000000000
χ454-4-44-44000004-4000000000000000000000000000002-22-20000
χ464-4-44-44000004-400000000000000000000000000000-22-220000
χ474-4-44-4400000-44000000000000000000000000000002-2-220000
χ484-4-44-4400000-4400000000000000000000000000000-222-20000
χ498-88-80000000004i−4i−4i4i000000000000000000000000000000000
χ508-88-8000000000−4i4i4i−4i000000000000000000000000000000000

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