Finite Group Databasebeta

← Group #287394

Character table — Group #287394

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888824444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-111-111-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-11-1-1-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-111-1-1-1-111
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
χ911111111-1-1-1-111111111-1-111-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-1111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-11111-1-1-1-1-111-11
χ1111111111-1-1-1-111111111-1-111-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-11111-1-1-11
χ1211111111-1-1-1-111111111-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1111-1-1111-1
χ1311111111-1-1-1-111111111-1-111-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11-1-1-1-1111-1-111-11
χ1411111111-1-1-1-111111111-1-111-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-111-1-1-11111-1-11-1
χ1511111111-1-1-1-111111111-1-111-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-11111-1-1-1-1-1111-1
χ1611111111-1-1-1-111111111-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111-1-1111-1-111-1-1-11
χ172222222222222-222-2-22-222-2-2-2-2-200000000000000000000000022-200-200000000
χ182222222222222-222-2-22-222-2-2-2-2-2000000000000000000000000-2-2200200000000
χ19222222222222-22-2-222-22-2-2-2-222-200000000000022-2-20000-2-22200000000000000
χ20222222222222-22-2-222-22-2-2-2-222-2000000000000-2-222000022-2-200000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-222-2-22000000002i2i−2i−2i00002i2i−2i−2i000000000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-222-2-2200000000−2i−2i2i2i0000−2i−2i2i2i000000000000000000
χ2322222222-2-2-2-22-222-2-22-2-2-2-2-22220000000000000000000000002-2200-200000000
χ2422222222-2-2-2-22-222-2-22-2-2-2-2-2222000000000000000000000000-22-200200000000
χ2522222222-2-2-2-2-22-2-222-2222-2-2-2-2200000000000022220000-2-2-2-200000000000000
χ2622222222-2-2-2-2-22-2-222-2222-2-2-2-22000000000000-2-2-2-20000222200000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000002i2i−2i−2i0000−2i−2i2i2i000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000−2i−2i2i2i00002i2i−2i−2i000000000000000000
χ2922-2-2-222-22i2i−2i−2i0-200220-200002i−2i022−2−2i2i2−i2−i200002-2000000002i−2i000000002−2i2−i200
χ3022-2-2-222-22i2i−2i−2i0-200220-200002i−2i022−2−2i2i2−i2−i20000-2200000000−2i2i00000000−22−i2i200
χ3122-2-2-222-22i2i−2i−2i0-200220-200002i−2i0−2−222−i2−i2i2i200002-2000000002i−2i00000000−22−i2i200
χ3222-2-2-222-22i2i−2i−2i0-200220-200002i−2i0−2−222−i2−i2i2i20000-2200000000−2i2i000000002−2i2−i200
χ3322-2-2-222-2−2i−2i2i2i0-200220-20000−2i2i022−2−2−i2−i2i2i200002-200000000−2i2i000000002−2−i2i200
χ3422-2-2-222-2−2i−2i2i2i0-200220-20000−2i2i022−2−2−i2−i2i2i20000-22000000002i−2i00000000−22i2−i200
χ3522-2-2-222-2−2i−2i2i2i0-200220-20000−2i2i0−2−222i2i2−i2−i200002-200000000−2i2i00000000−22i2−i200
χ3622-2-2-222-2−2i−2i2i2i0-200220-20000−2i2i0−2−222i2i2−i2−i20000-22000000002i−2i000000002−2−i2i200
χ372-2-222-22-200002-22-22-2-22002-20002i−2i2i−2i0000000000002-22-200000000002i−2i000000
χ382-2-222-22-200002-22-22-2-22002-20002i−2i2i−2i000000000000-22-220000000000−2i2i000000
χ392-2-222-22-200002-22-22-2-22002-2000−2i2i−2i2i0000000000002-22-20000000000−2i2i000000
χ402-2-222-22-200002-22-22-2-22002-2000−2i2i−2i2i000000000000-22-2200000000002i−2i000000
χ412-2-222-22-20000-22-22-222-2002-200000002i−2i2i−2i000000002i−2i−2i2i00000002-2000000000
χ422-2-222-22-20000-22-22-222-2002-200000002i−2i2i−2i00000000−2i2i2i−2i0000000-22000000000
χ432-2-222-22-20000-22-22-222-2002-20000000−2i2i−2i2i000000002i−2i−2i2i0000000-22000000000
χ442-2-222-22-20000-22-22-222-2002-20000000−2i2i−2i2i00000000−2i2i2i−2i00000002-2000000000
χ454444-4-4-4-44-44-440-4-400404-40000000000000000000000000000000000000000000
χ464444-4-4-4-44-44-4-404400-40-440000000000000000000000000000000000000000000
χ474444-4-4-4-4-44-4440-4-40040-440000000000000000000000000000000000000000000
χ484444-4-4-4-4-44-44-404400-404-40000000000000000000000000000000000000000000
χ4944-4-44-4-444i−4i−4i4i000000000000000000000000000002i2−2i2000022−220000000000000000
χ5044-4-44-4-444i−4i−4i4i00000000000000000000000000000−2i22i20000−22220000000000000000
χ5144-4-44-4-44−4i4i4i−4i000000000000000000000000000002i2−2i20000−22220000000000000000
χ5244-4-44-4-44−4i4i4i−4i00000000000000000000000000000−2i22i2000022−220000000000000000
χ5344-4-4-444-44i4i−4i−4i0400-4-4040000−4i4i000000000000000000000000000000000000000
χ5444-4-4-444-4−4i−4i4i4i0400-4-40400004i−4i000000000000000000000000000000000000000
χ554-44-4-4-444000004004-40-400000002i2−2i2−2i22i20000000000000000000000000000000000
χ564-44-4-4-444000004004-40-40000000−2i22i22i2−2i20000000000000000000000000000000000
χ574-44-4-4-44400000-400-44040000000000022−22−2222000000000000000000000000000000
χ584-44-4-4-44400000-400-440400000000000−222222−22000000000000000000000000000000
χ594-4-444-44-40000444-4-44-4-400-4400000000000000000000000000000000000000000
χ604-4-444-44-40000-4-4-444-44400-4400000000000000000000000000000000000000000
χ614-4-44-44-44000040-4400-400000000000000002i2−2i22i2−2i200000000000000000000000000
χ624-4-44-44-44000040-4400-40000000000000000−2i22i2−2i22i200000000000000000000000000
χ634-4-44-44-440000-404-4004000000000000000022−22−222200000000000000000000000000
χ644-4-44-44-440000-404-40040000000000000000−222222−2200000000000000000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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