Finite Group Databasebeta

← Group #167754

Character table — Group #167754

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444444444444488888888888888882444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-111-1-1-1-1
χ3111111111111111111111111111-1-111-1-11111111111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-11111
χ51111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-1-1-1
χ61111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-11-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-11-1-1-111111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-1111-11-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11-1-111111-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1-1
χ1011111111-1-1-1-1-1-1-1-11-1-111111-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-11-1-11111-1-111
χ1111111111-1-1-1-1-1-1-1-11-1-111111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-11-1-111111-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-11-1-111111-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-11111-1-11-1-11-1-1-111
χ1411111111-1-1-1-1-1-1-1-11-1-111111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-11111-111-1-1
χ1511111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1111-1-1
χ1611111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-111-11-1-1-1-11-1-111
χ172222222222222222-2-2-222-2-2-2-2002200220000000000000000000000-2000-200000
χ182222222222222222-2-2-222-2-2-2-200-2-200-2-200000000000000000000002000200000
χ19222222222222-2-2-2-22-2-2-2-2-2-2222200-2-200000000000000000002000-20000000000
χ20222222222222-2-2-2-22-2-2-2-2-2-222-2-200220000000000000000000-200020000000000
χ21222222222222-2-2-2-2-222-2-222-2-20000000000000000000000002020000-2000-20000
χ22222222222222-2-2-2-2-222-2-222-2-2000000000000000000000000-20-20000200020000
χ2322222222-2-2-2-22222222-2-2-2-22-22200220000000000000000000-2000-20000000000
χ2422222222-2-2-2-22222222-2-2-2-22-2-2-200-2-20000000000000000000200020000000000
χ2522222222-2-2-2-22222-2-2-2-2-222-2200000000000000000000000020-200002000-20000
χ2622222222-2-2-2-22222-2-2-2-2-222-22000000000000000000000000-2020000-200020000
χ2722222222-2-2-2-2-2-2-2-2-22222-2-2-22002200-2-200000000000000000000002000-200000
χ2822222222-2-2-2-2-2-2-2-2-22222-2-2-2200-2-200220000000000000000000000-2000200000
χ292-222-2-2-222i2i−2i−2i2i2i−2i−2i0002-20000002i−2i002-20000000022−2−2i2i2−i2−i2000000000000i2−i22−2
χ302-222-2-2-222i2i−2i−2i2i2i−2i−2i0002-20000002i−2i002-200000000−2−222−i2−i2i2i2000000000000−i2i2−22
χ312-222-2-2-222i2i−2i−2i2i2i−2i−2i0002-2000000−2i2i00-220000000022−2−2i2i2−i2−i2000000000000−i2i2−22
χ322-222-2-2-222i2i−2i−2i2i2i−2i−2i0002-2000000−2i2i00-2200000000−2−222−i2−i2i2i2000000000000i2−i22−2
χ332-222-2-2-22−2i−2i2i2i−2i−2i2i2i0002-20000002i−2i00-220000000022−2−2−i2−i2i2i2000000000000i2−i2−22
χ342-222-2-2-22−2i−2i2i2i−2i−2i2i2i0002-20000002i−2i00-2200000000−2−222i2i2−i2−i2000000000000−i2i22−2
χ352-222-2-2-22−2i−2i2i2i−2i−2i2i2i0002-2000000−2i2i002-20000000022−2−2−i2−i2i2i2000000000000−i2i22−2
χ362-222-2-2-22−2i−2i2i2i−2i−2i2i2i0002-2000000−2i2i002-200000000−2−222i2i2−i2−i2000000000000i2−i2−22
χ372-2-2-222-2200002-22-222-20000-202-2002-200i2i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ382-2-2-222-2200002-22-222-20000-202-2002-200−i2−i2i2i2−i2−i2i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ392-2-2-222-2200002-22-222-20000-20-2200-2200i2i2−i2−i2i2i2−i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ402-2-2-222-2200002-22-222-20000-20-2200-2200−i2−i2i2i2−i2−i2i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ412-2-2-222-220000-22-222-220000-202-200-2200i2i2−i2−i2−i2−i2i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ422-2-2-222-220000-22-222-220000-202-200-2200−i2−i2i2i2i2i2−i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ432-2-2-222-220000-22-222-220000-20-22002-200i2i2−i2−i2−i2−i2i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ442-2-2-222-220000-22-222-220000-20-22002-200−i2−i2i2i2i2i2−i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ45444-44-4-4-44-44-40000000000000000000002-22-22-22-2000000000000000000000000
χ46444-44-4-4-44-44-4000000000000000000000-22-22-22-22000000000000000000000000
χ47444-44-4-4-4-44-440000000000000000000002-22-2-22-22000000000000000000000000
χ48444-44-4-4-4-44-44000000000000000000000-22-222-22-2000000000000000000000000
χ4944-4-4-4-44400004i−4i−4i4i00000000000000000000000002i−2i−2i2i-222-20000000000000000
χ5044-4-4-4-44400004i−4i−4i4i0000000000000000000000000−2i2i2i−2i2-2-220000000000000000
χ5144-4-4-4-4440000−4i4i4i−4i00000000000000000000000002i−2i−2i2i2-2-220000000000000000
χ5244-4-4-4-4440000−4i4i4i−4i0000000000000000000000000−2i2i2i−2i-222-20000000000000000
χ534-444-4-4-444i4i−4i−4i−4i−4i4i4i000-4400000000000000000000000000000000000000000000
χ544-444-4-4-44−4i−4i4i4i4i4i−4i−4i000-4400000000000000000000000000000000000000000000
χ554-44-4-444-44i−4i−4i4i00000000000000000000000000000000000000002i−2i0002-2000000
χ564-44-4-444-44i−4i−4i4i0000000000000000000000000000000000000000−2i2i000-22000000
χ574-44-4-444-4−4i4i4i−4i00000000000000000000000000000000000000002i−2i000-22000000
χ584-44-4-444-4−4i4i4i−4i0000000000000000000000000000000000000000−2i2i0002-2000000
χ594-4-444-44-400000000000004-4000000000000002i2−2i2−2i22i2000000000000000000000000
χ604-4-444-44-400000000000004-400000000000000−2i22i22i2−2i2000000000000000000000000
χ614-4-444-44-40000000000000-4400000000002i2−2i2−2i22i20000000000000000000000000000
χ624-4-444-44-40000000000000-440000000000−2i22i22i2−2i20000000000000000000000000000
χ634-4-4-444-4400004-44-4-4-440000400000000000000000000000000000000000000000
χ644-4-4-444-440000-44-44-44-40000400000000000000000000000000000000000000000
χ6588-88-88-8-8000000000000000000000000000000000000000000000000000000000

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