Finite Group Databasebeta

← Group #258669

Character table — Group #258669

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444444444444488888888888888882244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ71111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1
χ91111111111111111-1-1-1-11-1-11-1111111-1-11111-1-1-1-11111-1-1-1-11-111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-11-1-11-1111111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-1-1-111-1-111
χ111111111111111111-1-1-1-11-1-11-11111-1-1111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1-1-111
χ121111111111111111-1-1-1-11-1-11-11111-1-111-1-1-1-111111111-1-1-1-1-11-1-111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-11-1-11-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-111
χ141111111111111111-1-1-1-11-1-11-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1111111-1-111-1-1
χ151111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-1-111-1-11111-1-1
χ161111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-11111-1-1-1-111
χ1722222222222-2-2-2-222222-2-2-2-2-2000022220000000000000000-2-200000000000000
χ1822222222222-2-2-2-222222-2-2-2-2-20000-2-2-2-200000000000000002200000000000000
χ1922222222222-2-2-2-22-2-2-2-2-222-22000022-2-20000000000000000-2200000000000000
χ2022222222222-2-2-2-22-2-2-2-2-222-220000-2-22200000000000000002-200000000000000
χ2122222222-2-2-22222-222-2-2-222-2-222-2-2000000000000000000000000002-200000000
χ2222222222-2-2-22222-222-2-2-222-2-2-2-22200000000000000000000000000-2200000000
χ2322222222-2-2-22222-2-2-222-2-2-2-2222-2-200000000000000000000000000-2200000000
χ2422222222-2-2-22222-2-2-222-2-2-2-22-2-222000000000000000000000000002-200000000
χ2522222222-2-2-2-2-2-2-2-222-2-22-2-222000000000000000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-22-2-22200000000000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-200000000000000000000000000-222-20000000000
χ2922-222-2-2-22-2-2000022-22-20000000002i−2i2i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000
χ3022-222-2-2-22-2-2000022-22-20000000002i−2i2i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000000000
χ3122-222-2-2-22-2-2000022-22-2000000000−2i2i−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ3222-222-2-2-22-2-2000022-22-2000000000−2i2i−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000
χ3322-222-2-2-22-2-200002-22-220000000002i−2i−2i2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000
χ3422-222-2-2-22-2-200002-22-220000000002i−2i−2i2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ3522-222-2-2-22-2-200002-22-22000000000−2i2i2i−2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000
χ3622-222-2-2-22-2-200002-22-22000000000−2i2i2i−2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ3722-2-2-222-222-22-22-2-20000-200202i−2i2i−2i000000002-22-20000000000000000002i−2i0000
χ3822-2-2-222-222-22-22-2-20000-200202i−2i2i−2i00000000-22-22000000000000000000−2i2i0000
χ3922-2-2-222-222-22-22-2-20000-20020−2i2i−2i2i000000002-22-2000000000000000000−2i2i0000
χ4022-2-2-222-222-22-22-2-20000-20020−2i2i−2i2i00000000-22-220000000000000000002i−2i0000
χ4122-2-2-222-2-2-222-22-220000200-202i−2i−2i2i00002i−2i2i−2i000000000000000000002-2000000
χ4222-2-2-222-2-2-222-22-220000200-202i−2i−2i2i0000−2i2i−2i2i00000000000000000000-22000000
χ4322-2-2-222-2-2-222-22-220000200-20−2i2i2i−2i00002i−2i2i−2i00000000000000000000-22000000
χ4422-2-2-222-2-2-222-22-220000200-20−2i2i2i−2i0000−2i2i−2i2i000000000000000000002-2000000
χ45444-4-4-4-444-440000-400000000000000000000022−22−2222000000000000000000000000
χ46444-4-4-4-444-440000-4000000000000000000000−222222−22000000000000000000000000
χ47444-4-4-4-44-44-400004000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ48444-4-4-4-44-44-40000400000000000000000−2i22i22i2−2i20000000000000000000000000000
χ4944-444-4-4-4-4440000-44-4-44000000000000000000000000000000000000000000000
χ5044-444-4-4-4-4440000-4-444-4000000000000000000000000000000000000000000000
χ5144-4-4-444-444-4-44-44-40000400-400000000000000000000000000000000000000000
χ5244-4-4-444-4-4-44-44-4440000-400400000000000000000000000000000000000000000
χ534-444-44-4-400000000000004i−4i0000000000000000002-22-22i−2i2i−2i0000000000000000
χ544-444-44-4-400000000000004i−4i000000000000000000-22-22−2i2i−2i2i0000000000000000
χ554-444-44-4-40000000000000−4i4i0000000000000000002-22-2−2i2i−2i2i0000000000000000
χ564-444-44-4-40000000000000−4i4i000000000000000000-22-222i−2i2i−2i0000000000000000
χ574-44-44-44-40004-4-4400000000000000000000000000000000000000000000002i2−2i200
χ584-44-44-44-40004-4-440000000000000000000000000000000000000000000000−2i22i200
χ594-44-44-44-4000-444-40000000000000000000000000000000000000000000000002i2−2i2
χ604-44-44-44-4000-444-4000000000000000000000000000000000000000000000000−2i22i2
χ614-4-44-4-44400044-4-4000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ624-4-44-4-44400044-4-400000000000000000000000000−2i22i22i2−2i200000000000000000000
χ634-4-44-4-444000-4-44400000000000000000000000000000022−22−22220000000000000000
χ644-4-44-4-444000-4-444000000000000000000000000000000−222222−220000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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