Finite Group Databasebeta

← Group #289962

Character table — Group #289962

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444448888888888888888888881616161616161616161632323232
order12222244444444488888844444444888888888888844448888884488
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111-1-1-1-1111111111-1-1-1-1-111-111-1-111-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ5111111111111111111111-1-1-1-1111111111-1-1-1-111111-1-11-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-111111-1-111-1-1
χ9111111111111111-1-1-1-1-1-111111111-111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1
χ10111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111-1-11
χ11111111111111111-1-1-1-1-1-11111-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-11-11
χ12111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1
χ13111111111111111-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-111-11111-1-1-11-11
χ14111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11-11-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111111-1-11
χ1722222222-2-222-2-2-222-2-2-2-222-2-20000200000000000002-200000000000
χ1822222222-2-222-2-2-222-2-2-2-2-2-222000020000000000000-2200000000000
χ1922222222-2-222-2-2-2-2-2222222-2-20000-20000000000000-2200000000000
χ2022222222-2-222-2-2-2-2-22222-2-2220000-200000000000002-200000000000
χ21222222-2-2-2-2-2-2-222000000000022-2-202i2i−2i−2i000000000000002i−2i000000
χ22222222-2-2-2-2-2-2-222000000000022-2-20−2i−2i2i2i00000000000000−2i2i000000
χ23222222-2-2-2-2-2-2-2220000000000-2-22202i2i−2i−2i00000000000000−2i2i000000
χ24222222-2-2-2-2-2-2-2220000000000-2-2220−2i−2i2i2i000000000000002i−2i000000
χ252222-2-22-222-22-22-20000000000000002-22-2000022-2-2200-20000000000
χ262222-2-22-222-22-22-20000000000000002-22-20000-2-222-20020000000000
χ272222-2-22-222-22-22-2000000000000000-22-22000022-2-2-20020000000000
χ282222-2-22-222-22-22-2000000000000000-22-220000-2-222200-20000000000
χ292222-2-2-22222-2-2-222222-2-200000000-2000022-2-2000000002-200000000
χ302222-2-2-22222-2-2-222222-2-200000000-20000-2-22200000000-2200000000
χ312222-2-2-22222-2-2-22-2-2-2-222000000002000022-2-200000000-2200000000
χ322222-2-2-22222-2-2-22-2-2-2-2220000000020000-2-222000000002-200000000
χ332222-2-2-22-2-22-222-222-2-22200000000-22i−2i−2i2i00000000000000002i−2i0000
χ342222-2-2-22-2-22-222-222-2-22200000000-2−2i2i2i−2i0000000000000000−2i2i0000
χ352222-2-2-22-2-22-222-2-2-222-2-20000000022i−2i−2i2i0000000000000000−2i2i0000
χ362222-2-2-22-2-22-222-2-2-222-2-2000000002−2i2i2i−2i00000000000000002i−2i0000
χ37444444-4-444-4-44-4-400000000000000000000000000000000000000000
χ384444-4-44-4-4-4-444-4400000000000000000000000000000000000000000
χ3944-4-400004-40000022−2222−220000002-22-200000000022−220000000000000000
χ4044-4-400004-40000022−2222−22000000-22-22000000000−22220000000000000000
χ4144-4-400004-400000−2222−22220000002-22-2000000000−22220000000000000000
χ4244-4-400004-400000−2222−2222000000-22-2200000000022−220000000000000000
χ4344-4-40000-440000022−22−22220000002-2-220000000000022−2200000000000000
χ4444-4-40000-440000022−22−2222000000-222-200000000000−222200000000000000
χ4544-4-40000-4400000−222222−220000002-2-2200000000000−222200000000000000
χ4644-4-40000-4400000−222222−22000000-222-20000000000022−2200000000000000
χ474-44-44-44-4004-4000000000000000000000022−2222−22000000000000000000
χ484-44-44-44-4004-40000000000000000000000−2222−2222000000000000000000
χ494-44-44-4-4400-44000000000004i−4i0000000000000000000000000000000
χ504-44-44-4-4400-4400000000000−4i4i0000000000000000000000000000000
χ514-44-4-444400-4-40000000004-4000000000000000000000000000000000
χ524-44-4-444400-4-4000000000-44000000000000000000000000000000000
χ534-44-4-44-4-40044000000000000000000000022−22−2222000000000000000000
χ544-44-4-44-4-400440000000000000000000000−222222−22000000000000000000
χ558-8-880000000000000004i2−4i200000000000000000000000000000000000
χ568-8-88000000000000000−4i24i200000000000000000000000000000000000

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