Finite Group Databasebeta

← Group #279452

Character table — Group #279452

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888822448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-11-1-11111111111111111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11
χ1011111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1
χ1111111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111-1
χ1211111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-11
χ1311111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1
χ1411111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ1511111111111-1-1-1-111111-1-111-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-11
χ1611111111111-1-1-1-111111-1-111-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-1
χ172222222222-22222-2-222-222-2-2-2-2000000-2000000000022-2-222-2-200000000000000
χ182222222222-22222-2-222-222-2-2-2-2000000-20000000000-2-222-2-22200000000000000
χ192222222222-2-2-2-2-2-2-222-2-2-2-2-2220000002000000000022-2-2-2-22200000000000000
χ202222222222-2-2-2-2-2-2-222-2-2-2-2-22200000020000000000-2-22222-2-200000000000000
χ2122222222-2-22222222-2-22-2-2-2-22222-2-222-2-2-2000000000000000000000000000000
χ2222222222-2-22222222-2-22-2-2-2-222-2-222-2-2-222000000000000000000000000000000
χ2322222222-2-22-2-2-2-222-2-2222-2-2-2-222-2-2-2-2222000000000000000000000000000000
χ2422222222-2-22-2-2-2-222-2-2222-2-2-2-2-2-222222-2-2000000000000000000000000000000
χ2522222222-2-2-22222-2-2-2-2-2-2-222-2-200000020000000000000000000000002i−2i2i−2i0000
χ2622222222-2-2-22222-2-2-2-2-2-2-222-2-20000002000000000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-20000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-2000000000000000000000000−2i2i2i−2i0000
χ2922-222-2-2-222200002-2-2-2-2002-2002-22-20000022-2-20000000000002-2000000000000
χ3022-222-2-2-222200002-2-2-2-2002-2002-22-200000-2-222000000000000-22000000000000
χ3122-222-2-2-222200002-2-2-2-2002-200-22-220000022-2-2000000000000-22000000000000
χ3222-222-2-2-222200002-2-2-2-2002-200-22-2200000-2-2220000000000002-2000000000000
χ3322-222-2-2-2-2-2200002-222-200-22002-2-220000000002i2i−2i−2i00000000002i−2i0000000000
χ3422-222-2-2-2-2-2200002-222-200-22002-2-22000000000−2i−2i2i2i0000000000−2i2i0000000000
χ3522-222-2-2-2-2-2200002-222-200-2200-222-20000000002i2i−2i−2i0000000000−2i2i0000000000
χ3622-222-2-2-2-2-2200002-222-200-2200-222-2000000000−2i−2i2i2i00000000002i−2i0000000000
χ3722-2-2-222-22-202i2i−2i−2i002-202i−2i0000000000000i2−i2i2−i22−22−2002i−2i002-200002−20000i2−i200
χ3822-2-2-222-22-202i2i−2i−2i002-202i−2i0000000000000i2−i2i2−i22−22−200−2i2i00-220000−220000−i2i200
χ3922-2-2-222-22-202i2i−2i−2i002-202i−2i0000000000000−i2i2−i2i2−22−22002i−2i002-20000−220000−i2i200
χ4022-2-2-222-22-202i2i−2i−2i002-202i−2i0000000000000−i2i2−i2i2−22−2200−2i2i00-2200002−20000i2−i200
χ4122-2-2-222-22-20−2i−2i2i2i002-20−2i2i0000000000000i2−i2i2−i2−22−22002i−2i00-2200002−20000−i2i200
χ4222-2-2-222-22-20−2i−2i2i2i002-20−2i2i0000000000000i2−i2i2−i2−22−2200−2i2i002-20000−220000i2−i200
χ4322-2-2-222-22-20−2i−2i2i2i002-20−2i2i0000000000000−i2i2−i2i22−22−2002i−2i00-220000−220000i2−i200
χ4422-2-2-222-22-20−2i−2i2i2i002-20−2i2i0000000000000−i2i2−i2i22−22−200−2i2i002-200002−20000−i2i200
χ45444-4-4-4-444-40000000-4400000000000000002i2−2i2−2i22i200000000000000000000000000
χ46444-4-4-4-444-40000000-440000000000000000−2i22i22i2−2i200000000000000000000000000
χ47444-4-4-4-44-4400000004-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ48444-4-4-4-44-4400000004-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ4944-444-4-4-444-40000-44-4-4400-4400000000000000000000000000000000000000000
χ5044-444-4-4-4-4-4-40000-44444004-400000000000000000000000000000000000000000
χ5144-4-4-444-4-4404i4i−4i−4i00-440−4i4i0000000000000000000000000000000000000000000
χ5244-4-4-444-4-440−4i−4i4i4i00-4404i−4i0000000000000000000000000000000000000000000
χ534-444-4-44-40044i−4i4i−4i-4-400400004i−4i000000000000000000000000000000000000000
χ544-444-4-44-4004−4i4i−4i4i-4-40040000−4i4i000000000000000000000000000000000000000
χ554-444-4-44-400-44i−4i4i−4i4400-40000−4i4i000000000000000000000000000000000000000
χ564-444-4-44-400-4−4i4i−4i4i4400-400004i−4i000000000000000000000000000000000000000
χ574-4-44-44-440040000-4400-400000000000004i−4i000000000000000000000000000000
χ584-4-44-44-440040000-4400-40000000000000−4i4i000000000000000000000000000000
χ594-4-44-44-4400-400004-400400000000004-4000000000000000000000000000000000
χ604-4-44-44-4400-400004-40040000000000-44000000000000000000000000000000000
χ614-4-4-44-4440004-4-44000000000000000000000000000022−220022−220000000000000000
χ624-4-4-44-4440004-4-440000000000000000000000000000−222200−22220000000000000000
χ634-4-4-44-444000-444-4000000000000000000000000000022−2200−22220000000000000000
χ644-4-4-44-444000-444-40000000000000000000000000000−22220022−220000000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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