Finite Group Databasebeta

← Group #104247

Character table — Group #104247

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222224444444444422224444888888888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1
χ6111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ9222222222222-2-2-2-2-2-2-2-220000000000002i2i−2i−2i0000000000
χ10222222222222-2-2-2-2-2-2-2-22000000000000−2i−2i2i2i0000000000
χ112222222222-2-22-2-2-2-2222-20000000000000000000022-2-200
χ122222222222-2-22-2-2-2-2222-200000000000000000000-2-22200
χ132222222222-2-2-22222-2-2-2-22200-2-200000000000000000000
χ142222222222-2-2-22222-2-2-2-2-2-2002200000000000000000000
χ1522222222-2-222222-2-2-2-22-20000000000000000000000002-2
χ1622222222-2-222222-2-2-2-22-2000000000000000000000000-22
χ1722222222-2-222-2-2-22222-2-20000000022-2-200000000000000
χ1822222222-2-222-2-2-22222-2-200000000-2-22200000000000000
χ1922222222-2-2-2-22-2-222-2-222002200-2-2000000000000000000
χ2022222222-2-2-2-22-2-222-2-22200-2-20022000000000000000000
χ2122222222-2-2-2-2-222-2-222-22000000000000000022-2-2000000
χ2222222222-2-2-2-2-222-2-222-220000000000000000-2-222000000
χ23444-4-4-44-44-40000000000000000000000000000000002i2−2i200
χ24444-4-4-44-44-4000000000000000000000000000000000−2i22i200
χ25444-4-4-44-4-4400000000000000000000000000000002i2−2i20000
χ26444-4-4-44-4-440000000000000000000000000000000−2i22i20000
χ2744-444-4-4-40000000004i−4i002-2002i−2i00000000000000000000
χ2844-444-4-4-40000000004i−4i00-2200−2i2i00000000000000000000
χ2944-444-4-4-4000000000−4i4i002-200−2i2i00000000000000000000
χ3044-444-4-4-4000000000−4i4i00-22002i−2i00000000000000000000
χ3144-4-4-44-4400004000000-400000000000002i−2i2i−2i0000000000
χ3244-4-4-44-4400004000000-40000000000000−2i2i−2i2i0000000000
χ3344-4-4-44-440000-4000000400000000000002-2-220000000000
χ3444-4-4-44-440000-400000040000000000000-222-20000000000
χ354-444-44-4-400000004-4000000000000000000002i−2i2i−2i000000
χ364-444-44-4-400000004-400000000000000000000−2i2i−2i2i000000
χ374-444-44-4-40000000-44000000000000000000002i−2i−2i2i000000
χ384-444-44-4-40000000-4400000000000000000000−2i2i2i−2i000000
χ394-4-44-4-444000004-4000000002-2002-2000000000000000000
χ404-4-44-4-444000004-400000000-2200-22000000000000000000
χ414-4-44-4-44400000-44000000002-200-22000000000000000000
χ424-4-44-4-44400000-4400000000-22002-2000000000000000000
χ434-4-4-4444-4004-4000000000000000000022−2200000000000000
χ444-4-4-4444-4004-40000000000000000000−222200000000000000
χ454-4-4-4444-400-440000000000000000022−220000000000000000
χ464-4-4-4444-400-4400000000000000000−22220000000000000000
χ478-88-88-8-88000000000000000000000000000000000000000

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