Finite Group Databasebeta

← Group #282162

Character table — Group #282162

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444288888888888888888888888844444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ31111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ5111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-111-111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
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
χ911111111-1-1-1-11111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-111-1-111-11
χ1011111111-1-1-1-11111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1111-1
χ1111111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1111-1-1-111-1-11-1
χ1211111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-111111-1-1-11
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-111111-1-11-1
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1111-1-1-111-1-1-11
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-1111-1-1-1-111-11
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-11-1-1-111-1-1111-1
χ172222222222222-2-222-2-22-2-222-2-2-200000000000000000000000022-200-200000000
χ182222222222222-2-222-2-22-2-222-2-2-2000000000000000000000000-2-2200200000000
χ19222222222222-222-2-222-2-2-2-2-222-222-2-2000022-2-200000000000000000000000000
χ20222222222222-222-2-222-2-2-2-2-222-2-2-2220000-2-22200000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-222-2-2-2-220000000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ22222222222222-2-2-2-2-2-2-2-222-2-2-2-22000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ2322222222-2-2-2-22-2-222-2-22-2-2-2-22220000000000000000000000002-2-200200000000
χ2422222222-2-2-2-22-2-222-2-22-2-2-2-2222000000000000000000000000-22200-200000000
χ2522222222-2-2-2-2-222-2-222-2-2-222-2-2222-2-20000-2-22200000000000000000000000000
χ2622222222-2-2-2-2-222-2-222-2-2-222-2-22-2-222000022-2-200000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ292-2-22-222-22i2i−2i−2i02-2002-2000002i−2i0002-2i2i2−i2−i2002i−2i0000000022−2−2000000002−2i2−i200
χ302-2-22-222-22i2i−2i−2i02-2002-2000002i−2i0002-2−i2−i2i2i2002i−2i00000000−2−22200000000−22−i2i200
χ312-2-22-222-22i2i−2i−2i02-2002-2000002i−2i000-22i2i2−i2−i200−2i2i0000000022−2−200000000−22−i2i200
χ322-2-22-222-22i2i−2i−2i02-2002-2000002i−2i000-22−i2−i2i2i200−2i2i00000000−2−222000000002−2i2−i200
χ332-2-22-222-2−2i−2i2i2i02-2002-200000−2i2i0002-2i2i2−i2−i200−2i2i00000000−2−22200000000−22i2−i200
χ342-2-22-222-2−2i−2i2i2i02-2002-200000−2i2i0002-2−i2−i2i2i200−2i2i0000000022−2−2000000002−2−i2i200
χ352-2-22-222-2−2i−2i2i2i02-2002-200000−2i2i000-22i2i2−i2−i2002i−2i00000000−2−222000000002−2−i2i200
χ362-2-22-222-2−2i−2i2i2i02-2002-200000−2i2i000-22−i2−i2i2i2002i−2i0000000022−2−200000000−22i2−i200
χ372-2-2-222-2200002222-2-2-2-22-20000000002i−2i2i−2i00002i−2i2i−2i000000000000002-2000000
χ382-2-2-222-2200002222-2-2-2-22-20000000002i−2i2i−2i0000−2i2i−2i2i00000000000000-22000000
χ392-2-2-222-2200002222-2-2-2-22-2000000000−2i2i−2i2i00002i−2i2i−2i00000000000000-22000000
χ402-2-2-222-2200002222-2-2-2-22-2000000000−2i2i−2i2i0000−2i2i−2i2i000000000000002-2000000
χ412-2-2-222-220000-2-2-2-222222-2000000000000000002-2-2200002-22-20002-2000000000
χ422-2-2-222-220000-2-2-2-222222-2000000000000000002-2-220000-22-22000-22000000000
χ432-2-2-222-220000-2-2-2-222222-200000000000000000-222-200002-22-2000-22000000000
χ442-2-2-222-220000-2-2-2-222222-200000000000000000-222-20000-22-220002-2000000000
χ45444-4-44-4-4000004-400-4400000000000022−22−2222000000000000000000000000000000
χ46444-4-44-4-4000004-400-44000000000000−222222−22000000000000000000000000000000
χ47444-4-44-4-400000-44004-4000000000000000000000000000022−22−222200000000000000
χ48444-4-44-4-400000-44004-40000000000000000000000000000−222222−2200000000000000
χ4944-444-4-4-44-44-400000000000000022−2200000022−220000000000000000000000000000
χ5044-444-4-4-44-44-4000000000000000−2222000000−22220000000000000000000000000000
χ5144-444-4-4-4-44-4400000000000000022−22000000−22220000000000000000000000000000
χ5244-444-4-4-4-44-44000000000000000−222200000022−220000000000000000000000000000
χ5344-4-4-4-4440000400-4400-4000000000000000000000002i2−2i22i2−2i2000000000000000000
χ5444-4-4-4-4440000400-4400-400000000000000000000000−2i22i2−2i22i2000000000000000000
χ5544-4-4-4-4440000-4004-40040000000000000000000000022−22−2222000000000000000000
χ5644-4-4-4-4440000-4004-400400000000000000000000000−222222−22000000000000000000
χ574-444-4-4-444i−4i−4i4i400-4-4004004i−4i00000000000000000000000000000000000000000
χ584-444-4-4-444i−4i−4i4i-4004400-400−4i4i00000000000000000000000000000000000000000
χ594-444-4-4-44−4i4i4i−4i400-4-400400−4i4i00000000000000000000000000000000000000000
χ604-444-4-4-44−4i4i4i−4i-4004400-4004i−4i00000000000000000000000000000000000000000
χ614-4-44-444-44i4i−4i−4i0-4400-4400000−4i4i000000000000000000000000000000000000000
χ624-4-44-444-4−4i−4i4i4i0-4400-44000004i−4i000000000000000000000000000000000000000
χ634-4-4-444-4400004-4-44-444-4-440000000000000000000000000000000000000000000
χ644-4-4-444-440000-444-44-4-44-440000000000000000000000000000000000000000000
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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