Finite Group Databasebeta

← Group #290813

Character table — Group #290813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222444444444488888888888888888888816161616161616161616161616163232
order12222222444422444444444444488888888888888882244444444888844
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111
χ51111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1
χ61111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-11-111-1-1-1-111
χ71111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-11-1-1-1-11-1111111-1-1
χ911111111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-11111-1-1-1-11-1-11-1-11-11-111-1-11-1
χ1011111111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-11-1-111-11
χ1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-111111-1-11-1-11-11-1-1-111-11
χ1211111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-11111-11-1-111-1-1-1111-1-11-1
χ1311111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-11-1111-1-1-11
χ1411111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-111111-1-1-1111-1
χ1511111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-11-11-1-1111-1
χ1611111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-111111-111-1-1-11
χ1722222222222222-2-22-2-2-22-20000-20000000000000000200-2-220000000000
χ1822222222222222-2-22-2-2-22-20000-20000000000000000-20022-20000000000
χ19222222222222-2-222-22-2-2-220000-2000000000000000002000020-2-2000000
χ20222222222222-2-222-22-2-2-220000-200000000000000000-20000-2022000000
χ21222222222222-2-2-2-2-2-222-2-222-2-22000000000000000000-20000200000000
χ22222222222222-2-2-2-2-2-222-2-2-2-222200000000000000000020000-200000000
χ2322222222-2-2-2-22222-2-222-2-222-2-2-200000000000000000020000-200000000
χ2422222222-2-2-2-22222-2-222-2-2-2-222-2000000000000000000-20000200000000
χ2522222222-2-2-2-222-2-2-22-2-2-22000020000000000000000020000-202-2000000
χ2622222222-2-2-2-222-2-2-22-2-2-220000200000000000000000-2000020-22000000
χ2722222222-2-2-2-2-2-2222-2-2-22-2000020000000000000000200-22-20000000000
χ2822222222-2-2-2-2-2-2222-2-2-22-2000020000000000000000-2002-220000000000
χ2922-22-2-22-2000000002-22-2-222i−2i2i−2i0000022-2-200002i2i−2i−2i0000000000000000
χ3022-22-2-22-2000000002-22-2-222i−2i2i−2i00000-2-2220000−2i−2i2i2i0000000000000000
χ3122-22-2-22-2000000002-22-2-22−2i2i−2i2i0000022-2-20000−2i−2i2i2i0000000000000000
χ3222-22-2-22-2000000002-22-2-22−2i2i−2i2i00000-2-22200002i2i−2i−2i0000000000000000
χ3322-22-2-22-200000000-222-22-22i−2i−2i2i02i2i−2i−2i000022-2-200000000000000000000
χ3422-22-2-22-200000000-222-22-22i−2i−2i2i0−2i−2i2i2i0000-2-22200000000000000000000
χ3522-22-2-22-200000000-222-22-2−2i2i2i−2i02i2i−2i−2i0000-2-22200000000000000000000
χ3622-22-2-22-200000000-222-22-2−2i2i2i−2i0−2i−2i2i2i000022-2-200000000000000000000
χ3744-44-4-44-40000000044-44-4-40000000000000000000000000000000000000
χ3844-44-4-44-400000000-4-4-44440000000000000000000000000000000000000
χ3944-4-44-4-444i4i−4i−4i000000000000000000000000000000000000000002-22i−2i00
χ4044-4-44-4-444i4i−4i−4i00000000000000000000000000000000000000000-22−2i2i00
χ4144-4-44-4-44−4i−4i4i4i000000000000000000000000000000000000000002-2−2i2i00
χ4244-4-44-4-44−4i−4i4i4i00000000000000000000000000000000000000000-222i−2i00
χ434-444-4-4-440000004i−4i00000000000000000002i−2i2i−2i2-22-20000000000000000
χ444-444-4-4-440000004i−4i0000000000000000000−2i2i−2i2i-22-220000000000000000
χ454-444-4-4-44000000−4i4i00000000000000000002i−2i2i−2i-22-220000000000000000
χ464-444-4-4-44000000−4i4i0000000000000000000−2i2i−2i2i2-22-20000000000000000
χ474-44-44-44-44i−4i4i−4i0000000000000002i−2i2i−2i2-22-2000000000000000000000000
χ484-44-44-44-44i−4i4i−4i000000000000000−2i2i−2i2i-22-22000000000000000000000000
χ494-44-44-44-4−4i4i−4i4i0000000000000002i−2i2i−2i-22-22000000000000000000000000
χ504-44-44-44-4−4i4i−4i4i000000000000000−2i2i−2i2i2-22-2000000000000000000000000
χ514-4-4444-4-44-4-44000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ524-4-4444-4-44-4-4400000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ534-4-4444-4-4-444-4000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ544-4-4444-4-4-444-400000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ554-4-4-4-444400004-400000000000002-2-222-2-22000000000000000000000000
χ564-4-4-4-444400004-40000000000000-222-2-222-2000000000000000000000000
χ574-4-4-4-44440000-4400000000000002-2-22-222-2000000000000000000000000
χ584-4-4-4-44440000-440000000000000-222-22-2-22000000000000000000000000
χ59888-8-88-8-8000000000000000000000000000000000000000000000000000

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