Finite Group Databasebeta

← Group #168652

Character table — Group #168652

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222444444444488888888888888888888816161616161616161616161616163232
order12222222444444444444444444444444444888888882444448888888822
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ911111111-1-1-1-1111-1-1-1-1111-111-1-111-1-111-1-11111-1-1-1-11-11-11-111-1-111-1-11-1
χ1011111111-1-1-1-1111-1-1-1-1111-111-1-111-1-111-1-1-1-1-1-111111-11-11-1-1-111-1-111-11
χ1111111111-1-1-1-1111-1-1-1-1111-111-1-1-1-111-1-1111111-1-1-1-1-111-1-1111-1-1-1-111-11
χ1211111111-1-1-1-1111-1-1-1-1111-111-1-1-1-111-1-111-1-1-1-11111-111-1-11-1-11111-1-11-1
χ1311111111-1-1-1-1111-1-1-1-1111-1-1-11111-1-1-1-1111111-1-1-1-11-1-11-11-1-11111-1-1-11
χ1411111111-1-1-1-1111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-111111-1-11-1111-1-1-1-1111-1
χ1511111111-1-1-1-1111-1-1-1-1111-1-1-111-1-11111-1-11111-1-1-1-1-11-111-1-1-111-1-1111-1
χ1611111111-1-1-1-1111-1-1-1-1111-1-1-111-1-11111-1-1-1-1-1-11111-11-111-111-1-111-1-1-11
χ172222222222222-2-2-2-2-2-22-2-22000000002222000000000000-2-20000000000
χ182222222222222-2-2-2-2-2-22-2-2200000000-2-2-2-2000000000000220000000000
χ19222222222222-22-222-2-2-22-2-200002222000000000000-2-200000000000000
χ20222222222222-22-222-2-2-22-2-20000-2-2-2-20000000000002200000000000000
χ21222222222222-2-22-2-222-2-22-22222000000000000000000-2-2000000000000
χ22222222222222-2-22-2-222-2-22-2-2-2-2-200000000000000000022000000000000
χ2322222222-2-2-2-22-2-222222-2-2-20000000022-2-2000000000000-220000000000
χ2422222222-2-2-2-22-2-222222-2-2-200000000-2-2220000000000002-20000000000
χ2522222222-2-2-2-2-22-2-2-222-22-22000022-2-2000000000000-2200000000000000
χ2622222222-2-2-2-2-22-2-2-222-22-220000-2-2220000000000002-200000000000000
χ2722222222-2-2-2-2-2-2222-2-2-2-22222-2-2000000000000000000-22000000000000
χ2822222222-2-2-2-2-2-2222-2-2-2-222-2-2220000000000000000002-2000000000000
χ2922-2-222-2-222-2-2002002-200-202i−2i2i−2i00000000i2i2−i2−i2i2i2−i2−i20000002−22−2000000
χ3022-2-222-2-222-2-2002002-200-202i−2i2i−2i00000000−i2−i2i2i2−i2−i2i2i2000000−22−22000000
χ3122-2-222-2-222-2-2002002-200-20−2i2i−2i2i00000000i2i2−i2−i2i2i2−i2−i2000000−22−22000000
χ3222-2-222-2-222-2-2002002-200-20−2i2i−2i2i00000000−i2−i2i2i2−i2−i2i2i20000002−22−2000000
χ3322-2-222-2-2-2-22200200-2200-202i−2i−2i2i00000000i2i2−i2−i2−i2−i2i2i20000002−2−22000000
χ3422-2-222-2-2-2-22200200-2200-202i−2i−2i2i00000000−i2−i2i2i2i2i2−i2−i2000000−222−2000000
χ3522-2-222-2-2-2-22200200-2200-20−2i2i2i−2i00000000i2i2−i2−i2−i2−i2i2i2000000−222−2000000
χ3622-2-222-2-2-2-22200200-2200-20−2i2i2i−2i00000000−i2−i2i2i2i2i2−i2−i20000002−2−22000000
χ3722-2-2-2-2222-22-20202-2000-20000002i−2i2i−2i00002−22−22−22−20000000000i2−i2i2−i200
χ3822-2-2-2-2222-22-20202-2000-20000002i−2i2i−2i0000−22−22−22−220000000000−i2i2−i2i200
χ3922-2-2-2-2222-22-20202-2000-2000000−2i2i−2i2i00002−22−22−22−20000000000−i2i2−i2i200
χ4022-2-2-2-2222-22-20202-2000-2000000−2i2i−2i2i0000−22−22−22−220000000000i2−i2i2−i200
χ4122-2-2-2-222-22-22020-22000-20000002i−2i−2i2i00002−22−2−22−220000000000i2−i2−i2i200
χ4222-2-2-2-222-22-22020-22000-20000002i−2i−2i2i0000−22−222−22−20000000000−i2i2i2−i200
χ4322-2-2-2-222-22-22020-22000-2000000−2i2i2i−2i00002−22−2−22−220000000000−i2i2i2−i200
χ4422-2-2-2-222-22-22020-22000-2000000−2i2i2i−2i0000−22−222−22−20000000000i2−i2−i2i200
χ454444-4-4-4-44-4-44000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ464444-4-4-4-44-4-4400000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ474444-4-4-4-4-444-4000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ484444-4-4-4-4-444-400000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ4944-4-444-4-444-4-400-400-440040000000000000000000000000000000000000
χ5044-4-444-4-4-4-44400-4004-40040000000000000000000000000000000000000
χ5144-4-4-4-4444-44-40-40-44000400000000000000000000000000000000000000
χ5244-4-4-4-444-44-440-404-4000400000000000000000000000000000000000000
χ534-44-44-44-400004000000-400000000000004i−4i000000000000000000000000
χ544-44-44-44-400004000000-40000000000000−4i4i000000000000000000000000
χ554-44-44-44-40000-40000004000000000004-400000000000000000000000000
χ564-44-44-44-40000-4000000400000000000-4400000000000000000000000000
χ578-88-8-88-88000000000000000000000000000000000000000000000000000
χ588-8-888-8-88000000000000000000000000000000000000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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