Finite Group Databasebeta

← Group #166913

Character table — Group #166913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222444444444444442244444448888888824444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111-11-11-1-1-111-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-11-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-11111
χ71111111111111111111111-1-11-1-1-1-1-1-1111111111-11-1-1-11-1-11-1-1-1-1-1-11111
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111111111-1-1-1-1
χ911111111-1-1-1-1-1-11-1-11111111-1-1-111-1-11111-1-1-1-1-1-1111-1111-1-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-11-1-11111111-1-1-111-1-1-1-1-1-11111-1-1111-11-1-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-11-1-11111111-1-1-1-1-1111111-1-1-1-11-1-11-11-1111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-11-1-11111111-1-1-1-1-111-1-1-1-111111-1-11-11-1-1-111111-1-111-1-1
χ1311111111-1-1-1-1-1-11-1-111111-1-1-11111-1-11111-1-1-1-111-1-11-1-1-1-111111-1-1-1-111
χ1411111111-1-1-1-1-1-11-1-111111-1-1-11111-1-1-1-1-1-1111111-1-11-1-1111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-11-1-111111-1-1-111-1-1111111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-11-1-111111-1-1-111-1-111-1-1-1-11111-111-1-11111-1-1-111-1-1-1-111
χ1722222222222222-2-2-222-2-2-200-2002222000000000000-2-200000000000000
χ1822222222222222-2-2-222-2-2-200-200-2-2-2-20000000000002200000000000000
χ19222222222222-2-2222-2-2-2-2222-2-2-2000000000000020-20000000000000000
χ20222222222222-2-2222-2-2-2-22-2-2-2220000000000000-2020000000000000000
χ21222222222222-2-2-2-2-2-2-222-200200000000000000202000-200-20000000000
χ22222222222222-2-2-2-2-2-2-222-200200000000000000-20-200020020000000000
χ2322222222-2-2-2-2222-2-2-2-2-2-22222220000000000000-20-20000000000000000
χ2422222222-2-2-2-2222-2-2-2-2-2-22-2-22-2-200000000000002020000000000000000
χ2522222222-2-2-2-222-222-2-222-200-20000000000000020-2000200-20000000000
χ2622222222-2-2-2-222-222-2-222-200-200000000000000-202000-20020000000000
χ2722222222-2-2-2-2-2-2-22222-2-2-20020022-2-2000000000000-2200000000000000
χ2822222222-2-2-2-2-2-2-22222-2-2-200200-2-2220000000000002-200000000000000
χ2922-2-22-2-222i2i−2i−2i2i−2i0002-2000000002i−2i2-2i2i2−i2−i222−2−20000000000002−2i2−i20000
χ3022-2-22-2-222i2i−2i−2i2i−2i0002-2000000002i−2i2-2−i2−i2i2i2−2−222000000000000−22−i2i20000
χ3122-2-22-2-222i2i−2i−2i2i−2i0002-200000000−2i2i-22i2i2−i2−i222−2−2000000000000−22−i2i20000
χ3222-2-22-2-222i2i−2i−2i2i−2i0002-200000000−2i2i-22−i2−i2i2i2−2−2220000000000002−2i2−i20000
χ3322-2-22-2-22−2i−2i2i2i−2i2i0002-2000000002i−2i-22i2i2−i2−i2−2−2220000000000002−2−i2i20000
χ3422-2-22-2-22−2i−2i2i2i−2i2i0002-2000000002i−2i-22−i2−i2i2i222−2−2000000000000−22i2−i20000
χ3522-2-22-2-22−2i−2i2i2i−2i2i0002-200000000−2i2i2-2i2i2−i2−i2−2−222000000000000−22i2−i20000
χ3622-2-22-2-22−2i−2i2i2i−2i2i0002-200000000−2i2i2-2−i2−i2i2i222−2−20000000000002−2−i2i20000
χ374444-4-4-4-44-44-400000000000000000000000000000000000000000002-22-2
χ384444-4-4-4-44-44-40000000000000000000000000000000000000000000-22-22
χ394444-4-4-4-4-44-4400000000000000000000000000000000000000000002-2-22
χ404444-4-4-4-4-44-440000000000000000000000000000000000000000000-222-2
χ4144-4-44-4-444i4i−4i−4i−4i4i000-440000000000000000000000000000000000000000
χ4244-4-44-4-44−4i−4i4i4i4i−4i000-440000000000000000000000000000000000000000
χ4344-4-4-444-44i−4i−4i4i00000000000000000000000000000000002-202i−2i00000000
χ4444-4-4-444-44i−4i−4i4i0000000000000000000000000000000000-220−2i2i00000000
χ4544-4-4-444-4−4i4i4i−4i00000000000000000000000000000000002-20−2i2i00000000
χ4644-4-4-444-4−4i4i4i−4i0000000000000000000000000000000000-2202i−2i00000000
χ474-44-444-4-4000000000004-4000000000000002i2−2i22i2−2i200000000000000000000
χ484-44-444-4-4000000000004-400000000000000−2i22i2−2i22i200000000000000000000
χ494-44-444-4-400000000000-4400000000002i2−2i22i2−2i2000000000000000000000000
χ504-44-444-4-400000000000-440000000000−2i22i2−2i22i2000000000000000000000000
χ514-44-4-4-4440000004000000-40004i−4i00000000000000000000000000000000
χ524-44-4-4-4440000004000000-4000−4i4i00000000000000000000000000000000
χ534-44-4-4-444000000-400000044-400000000000000000000000000000000000
χ544-44-4-4-444000000-40000004-4400000000000000000000000000000000000
χ554-4-444-44-400000004i−4i000000000000002-2-222i−2i−2i2i00000000000000000000
χ564-4-444-44-400000004i−4i00000000000000-222-2−2i2i2i−2i00000000000000000000
χ574-4-444-44-40000000−4i4i000000000000002-2-22−2i2i2i−2i00000000000000000000
χ584-4-444-44-40000000−4i4i00000000000000-222-22i−2i−2i2i00000000000000000000
χ598-8-88-88-88000000000000000000000000000000000000000000000000000

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