Finite Group Databasebeta

← Group #244776

Character table — Group #244776

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444444488888888888888161616161616161616161616161616161616161632
order12224444442444444422444444448888222244444488888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1-1-1-111111
χ3111111111111111111111111-1-1-1-111-1-1111-11-111-1-11-111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1111-1-11-111-111-11-1-111-1-1-1-1-1
χ51111111111111-1-11111-1-111-111111111-1-1-1-11-1-11-1-111-1-11111-1-1-1
χ61111111111111-1-11111-1-111-11111-1-1-1-1-1111-11-1-111-1-111-1-111-1-1-1
χ71111111111111-1-11111-1-111-1-1-1-1-111-1-1-1-1-1111-11111-1-1-1-1-1-1-1111
χ81111111111111-1-11111-1-111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111111-1-1111
χ911111111111-1-111111-111-1-1111111111-1-1-11-11-1-1-1-11111-1-1-1-111-1
χ1011111111111-1-111111-111-1-111111-1-1-1-1-111-11-1-1111-1-1-1-111-1-111-1
χ1111111111111-1-111111-111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1111111-1-11
χ1211111111111-1-111111-111-1-11-1-1-1-1-1-111-111111-11-1-1-11-1-1-1-111-1-11
χ1311111111111-1-1-1-1111-1-1-1-1-1-111111111111-1-1-11-11111-1-1-1-1-1-1-1-11
χ1411111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-11
χ1511111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1-11-1-1-1111111-1
χ1611111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-11111-1111-1-11111-1
χ17222222-222-2-20022-2-220-2200-200000022000-20200000-2000000000
χ18222222-222-2-20022-2-220-2200-2000000-2-200020-2000002000000000
χ19222222-222-2-200-2-2-2-2202-20020000002200020-200000-2000000000
χ20222222-222-2-200-2-2-2-2202-2002000000-2-2000-202000002000000000
χ2122222-222-22-22200-22-2-2002-20000022000000200-200-20000000000
χ2222222-222-22-22200-22-2-2002-200000-2-2000000-20020020000000000
χ2322222-222-22-2-2-200-22-2200-220000022000000-200200-20000000000
χ2422222-222-22-2-2-200-22-2200-2200000-2-2000000200-20020000000000
χ252222-222-222-222222-2-222-2-2-2-200000000-200000200000000000000
χ262222-222-222-222-2-22-2-22-22-2-2200000000200000-200000000000000
χ272222-222-222-2-2-2222-2-2-22-222-200000000200000-200000000000000
χ282222-222-222-2-2-2-2-22-2-2-2-2222200000000-200000200000000000000
χ292222-22-2-22-220022-22-20-2-200200000000000000002-200002-200000
χ302222-22-2-22-220022-22-20-2-20020000000000000000-220000-2200000
χ312222-22-2-22-2200-2-2-22-202200-200000000000000002-20000-2200000
χ322222-22-2-22-2200-2-2-22-202200-20000000000000000-2200002-200000
χ332222-2-22-2-2222200-2-22-200-2200000000002-20000000002-20000000
χ342222-2-22-2-2222200-2-22-200-220000000000-22000000000-220000000
χ352222-2-22-2-222-2-200-2-222002-200000000002-2000000000-220000000
χ362222-2-22-2-222-2-200-2-222002-20000000000-220000000002-20000000
χ3744444-4-44-4-4400004-4-400000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4000044400000000000000000000000000000000000
χ3944-4-40-400400004i−4i0000000002i2i−2i−2i00000000000000000000002-20
χ4044-4-40-400400004i−4i000000000−2i−2i2i2i0000000000000000000000-220
χ4144-4-40-40040000−4i4i0000000002i2i−2i−2i0000000000000000000000-220
χ4244-4-40-40040000−4i4i000000000−2i−2i2i2i00000000000000000000002-20
χ434-44-400400-404i−4i000000000002i−2i2i−2i000000000000000000002-2000
χ444-44-400400-404i−4i00000000000−2i2i−2i2i00000000000000000000-22000
χ454-44-400400-40−4i4i000000000002i−2i2i−2i00000000000000000000-22000
χ464-44-400400-40−4i4i00000000000−2i2i−2i2i000000000000000000002-2000
χ474-4-44-400400000000000000002-2-2222−2222−22000000000000000000000
χ484-4-44-400400000000000000002-2-22−2222−2222000000000000000000000
χ494-4-44-40040000000000000000-222-222−22−2222000000000000000000000
χ504-4-44-40040000000000000000-222-2−222222−22000000000000000000000
χ5188-8-80800-800000000000000000000000000000000000000000000
χ528-88-800-80080000000000000000000000000000000000000000000
χ538-8-88800-8000000000000000000000000000000000000000000000

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