Finite Group Databasebeta

← Group #126213

Character table — Group #126213

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111122228888881616161616161616161616161616161616161616161616163232
order12222222222244444422444444444488888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ92222222222222-2-22-2-20000220000-2-200000000000000
χ102222222222222-2-22-2-20000-2-200002200000000000000
χ11222222222222-22-2-22-2002200-2-2000000000000000000
χ12222222222222-22-2-22-200-2-20022000000000000000000
χ13222222222222-2-22-2-2222000000-2-20000000000000000
χ14222222222222-2-22-2-22-2-2000000220000000000000000
χ1522-222-2-2-2-2-222200-20000000000002-20000i2i2−i2−i2i2i2−i2−i200
χ1622-222-2-2-2-2-222200-20000000000002-20000−i2−i2i2i2−i2−i2i2i200
χ1722-222-2-2-2-2-222200-2000000000000-220000i2i2−i2−i2−i2−i2i2i200
χ1822-222-2-2-2-2-222200-2000000000000-220000−i2−i2i2i2i2i2−i2−i200
χ192-22-22-22-22-2-220200-20002-200000000i2i2−i2−i20000i2−i2i2−i200
χ202-22-22-22-22-2-220200-20002-200000000−i2−i2i2i20000−i2i2−i2i200
χ212-22-22-22-22-2-220200-2000-2200000000i2i2−i2−i20000−i2i2−i2i200
χ222-22-22-22-22-2-220200-2000-2200000000−i2−i2i2i20000i2−i2i2−i200
χ232-2-2-222-222-22-200200-2000000002i−2i00i2−i2i2−i22−22−2000000
χ242-2-2-222-222-22-200200-2000000002i−2i00−i2i2−i2i2−22−22000000
χ252-2-2-222-222-22-200200-200000000−2i2i00i2−i2i2−i2−22−22000000
χ262-2-2-222-222-22-200200-200000000−2i2i00−i2i2−i2i22−22−2000000
χ2744444444-4-4-4-40000000000000000000000000000002-2
χ2844444444-4-4-4-4000000000000000000000000000000-22
χ2944-444-4-4-444-4-40000000000000000002-2-220000000000
χ3044-444-4-4-444-4-4000000000000000000-222-20000000000
χ3144-444-4-4-4-4-444-40040000000000000000000000000000
χ324-444-4-4-4400000000002-2002i−2i2i−2i000000000000000000
χ334-444-4-4-4400000000002-200−2i2i−2i2i000000000000000000
χ344-444-4-4-440000000000-22002i−2i−2i2i000000000000000000
χ354-444-4-4-440000000000-2200−2i2i2i−2i000000000000000000
χ364-44-44-44-44-4-440-4004000000000000000000000000000
χ374-44-44-44-4-444-400000000000000000000002i−2i−2i2i000000
χ384-44-44-44-4-444-40000000000000000000000−2i2i2i−2i000000
χ394-4-4-444-444-44-400-400400000000000000000000000000
χ404-4-4-444-44-44-44000000000000000000000000002-2-2200
χ414-4-4-444-44-44-4400000000000000000000000000-222-200
χ42888-8-88-8-8000000000000000000000000000000000000
χ4388-8-8-8-888000000000000000000000000000000000000
χ448-8-88-888-8000000000000000000000000000000000000

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