Finite Group Databasebeta

← Group #286802

Character table — Group #286802

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888844444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-11111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-11
χ1111111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-11
χ1211111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-111-1-1-11
χ172222222222222-222-2-22-2-2-222-2-2-200000000222200000000-2-2-2-200000000000000
χ182222222222222-222-2-22-2-2-222-2-2-200000000-2-2-2-200000000222200000000000000
χ19222222222222-22-2-222-22-2-2-2-222-200000000000000000000000000002-22-2000000
χ20222222222222-22-2-222-22-2-2-2-222-20000000000000000000000000000-22-22000000
χ21222222222222-2-2-2-2-2-2-2-222-2-2-2-222i2i−2i−2i000000002i2i−2i−2i0000000000000000000000
χ22222222222222-2-2-2-2-2-2-2-222-2-2-2-22−2i−2i2i2i00000000−2i−2i2i2i0000000000000000000000
χ2322222222-2-2-2-22-222-2-22-2-2-2-2-22220000000022-2-200000000-2-22200000000000000
χ2422222222-2-2-2-22-222-2-22-2-2-2-2-222200000000-2-2220000000022-2-200000000000000
χ2522222222-2-2-2-2-22-2-222-22-2-222-2-2200000000000000000000000000002-2-22000000
χ2622222222-2-2-2-2-22-2-222-22-2-222-2-220000000000000000000000000000-222-2000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22i2i−2i−2i00000000−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2−2i−2i2i2i000000002i2i−2i−2i0000000000000000000000
χ292222-2-2-2-222-2-2-202-20020002-2000000022−2−22i−2i2i−2i000022−2−2000000000000i2−i2i2−i200
χ302222-2-2-2-222-2-2-202-20020002-2000000022−2−2−2i2i−2i2i000022−2−2000000000000−i2i2−i2i200
χ312222-2-2-2-222-2-2-202-20020002-20000000−2−2222i−2i2i−2i0000−2−222000000000000−i2i2−i2i200
χ322222-2-2-2-222-2-2-202-20020002-20000000−2−222−2i2i−2i2i0000−2−222000000000000i2−i2i2−i200
χ332222-2-2-2-2-2-222-202-2002000-22000000022−2−22i−2i−2i2i0000−2−222000000000000i2−i2−i2i200
χ342222-2-2-2-2-2-222-202-2002000-22000000022−2−2−2i2i2i−2i0000−2−222000000000000−i2i2i2−i200
χ352222-2-2-2-2-2-222-202-2002000-220000000−2−2222i−2i−2i2i000022−2−2000000000000−i2i2i2−i200
χ362222-2-2-2-2-2-222-202-2002000-220000000−2−222−2i2i2i−2i000022−2−2000000000000i2−i2−i2i200
χ372-22-222-2-200002-22-22-2-222-2000002-22-22i−2i2i−2i00000000000000002i−2i000000000000
χ382-22-222-2-200002-22-22-2-222-2000002-22-2−2i2i−2i2i0000000000000000−2i2i000000000000
χ392-22-222-2-200002-22-22-2-222-200000-22-222i−2i2i−2i0000000000000000−2i2i000000000000
χ402-22-222-2-200002-22-22-2-222-200000-22-22−2i2i−2i2i00000000000000002i−2i000000000000
χ412-22-222-2-20000-22-22-222-22-2000002i−2i−2i2i0000000000002i−2i2i−2i0000002-20000000000
χ422-22-222-2-20000-22-22-222-22-2000002i−2i−2i2i000000000000−2i2i−2i2i000000-220000000000
χ432-22-222-2-20000-22-22-222-22-200000−2i2i2i−2i0000000000002i−2i2i−2i000000-220000000000
χ442-22-222-2-20000-22-22-222-22-200000−2i2i2i−2i000000000000−2i2i−2i2i0000002-20000000000
χ454444-4-4-4-444-4-440-4400-4000-4400000000000000000000000000000000000000000
χ464444-4-4-4-4-4-44440-4400-40004-400000000000000000000000000000000000000000
χ4744-4-44-44-4000004004-40-4000000000000000000022−2222−220000000000000000000000
χ4844-4-44-44-4000004004-40-40000000000000000000−2222−22220000000000000000000000
χ4944-4-44-44-400000-400-440400000000000000000002i2−2i2−2i22i20000000000000000000000
χ5044-4-44-44-400000-400-44040000000000000000000−2i22i22i2−2i20000000000000000000000
χ514-44-444-4-40000444-4-44-4-4-440000000000000000000000000000000000000000000
χ524-44-444-4-40000-4-4-444-444-440000000000000000000000000000000000000000000
χ534-44-4-4-444000040-4-40040000000000000000000000002i2−2i2−2i22i2000000000000000000
χ544-44-4-4-444000040-4-4004000000000000000000000000−2i22i22i2−2i2000000000000000000
χ554-44-4-4-4440000-404400-40000000000002i2−2i2−2i22i2000000000000000000000000000000
χ564-44-4-4-4440000-404400-4000000000000−2i22i22i2−2i2000000000000000000000000000000
χ574-4-444-4-444i−4i4i−4i0400-4-40400004i−4i000000000000000000000000000000000000000
χ584-4-444-4-444i−4i4i−4i0-400440-40000−4i4i000000000000000000000000000000000000000
χ594-4-444-4-44−4i4i−4i4i0400-4-4040000−4i4i000000000000000000000000000000000000000
χ604-4-444-4-44−4i4i−4i4i0-400440-400004i−4i000000000000000000000000000000000000000
χ614-4-44-444-44i−4i−4i4i0000000000000000000000000000000000022−222i2−2i200000000000000
χ624-4-44-444-44i−4i−4i4i00000000000000000000000000000000000−2222−2i22i200000000000000
χ634-4-44-444-4−4i4i4i−4i0000000000000000000000000000000000022−22−2i22i200000000000000
χ644-4-44-444-4−4i4i4i−4i00000000000000000000000000000000000−22222i2−2i200000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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