Finite Group Databasebeta

← Group #284396

Character table — Group #284396

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-11-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-11-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-11
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-1-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-1111-1
χ911111111111111111-1-1-1-1111111111-1-1111111-1-1-1-11111-11-1-11-1-1-11111-1-1-1-1
χ1011111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-11-1-1-1-11111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-111-111-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-111-1111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-1-111-1-111-11
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1111-1-11-1-111-1-11-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-11-1-1-111-1-1-111111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-111111-1-1-1-1-11
χ172222222222-22-2-2-22-20000-222222222000000-2-2000000000-200-200000000000
χ182222222222-22-2-2-22-20000-22222-2-2-2-2000000-2-2000000000200200000000000
χ192222222222-22-2-2-22-20000-2-2-2-2-222-2-200000022000000000200-200000000000
χ202222222222-22-2-2-22-20000-2-2-2-2-2-2-22200000022000000000-200200000000000
χ2122222222-2-22-2222-2-22222-200000000-2-222-2-200000000002000000-200000000
χ2222222222-2-22-2222-2-22222-200000000-2-2-2-2220000000000-2000000200000000
χ2322222222-2-22-2222-2-2-2-2-2-2-2000000002222-2-20000000000-2000000200000000
χ2422222222-2-22-2222-2-2-2-2-2-2-20000000022-2-22200000000002000000-200000000
χ252222-2-2-2-22-202000-200000022-2-22-22-2002−22−200000022−2−2000000002−22−20000
χ262222-2-2-2-22-202000-200000022-2-22-22-200−22−22000000−2−22200000000−22−220000
χ272222-2-2-2-22-202000-200000022-2-2-22-22002−22−200000022−2−200000000−22−220000
χ282222-2-2-2-22-202000-200000022-2-2-22-2200−22−22000000−2−222000000002−22−20000
χ292222-2-2-2-22-202000-2000000-2-2222-2-22002−22−2000000−2−222000000002−2−220000
χ302222-2-2-2-22-202000-2000000-2-2222-2-2200−22−2200000022−2−200000000−222−20000
χ312222-2-2-2-22-202000-2000000-2-222-222-2002−22−2000000−2−22200000000−222−20000
χ322222-2-2-2-22-202000-2000000-2-222-222-200−22−2200000022−2−2000000002−2−220000
χ332-22-2-22-22222-2-22-2-2-2000022i−2i2i−2i00000000002i−2i00000000002i−2i02-2000000000
χ342-22-2-22-22222-2-22-2-2-2000022i−2i2i−2i00000000002i−2i0000000000−2i2i0-22000000000
χ352-22-2-22-22222-2-22-2-2-200002−2i2i−2i2i0000000000−2i2i00000000002i−2i0-22000000000
χ362-22-2-22-22222-2-22-2-2-200002−2i2i−2i2i0000000000−2i2i0000000000−2i2i02-2000000000
χ372-22-2-22-2222-2-22-22-2222-2-2-22i−2i2i−2i00002-20000−2i2i2i2i−2i−2i00000000000000000000
χ382-22-2-22-2222-2-22-22-2222-2-2-2−2i2i−2i2i00002-200002i−2i−2i−2i2i2i00000000000000000000
χ392-22-2-22-2222-2-22-22-22-2-222-22i−2i2i−2i0000-220000−2i2i−2i−2i2i2i00000000000000000000
χ402-22-2-22-2222-2-22-22-22-2-222-2−2i2i−2i2i0000-2200002i−2i2i2i−2i−2i00000000000000000000
χ412-22-2-22-22-2-2-222-222-222-2-2200000000-2200000000002-22-20000000000002-200
χ422-22-2-22-22-2-2-222-222-222-2-2200000000-220000000000-22-22000000000000-2200
χ432-22-2-22-22-2-2-222-222-2-2-2222000000002-200000000002-22-2000000000000-2200
χ442-22-2-22-22-2-2-222-222-2-2-2222000000002-20000000000-22-220000000000002-200
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ464444-4-4-4-4-440-40004000000000000000022−22−222200000000000000000000000000
χ474444-4-4-4-4-440-400040000000000000000−222222−2200000000000000000000000000
χ4844-4-44-4-4400404-4-4000000000000000000000002i2−2i22i2−2i200000000000000000000
χ4944-4-44-4-4400404-4-400000000000000000000000−2i22i2−2i22i200000000000000000000
χ5044-4-44-4-4400-40-444004-44-400000000000000000000000000000000000000000
χ5144-4-44-4-4400-40-44400-44-4400000000000000000000000000000000000000000
χ524-44-44-44-44-40-400040000004i−4i−4i4i000000000000000000000000000000000000
χ534-44-44-44-44-40-40004000000−4i4i4i−4i000000000000000000000000000000000000
χ544-44-44-44-4-4404000-40000000000000000000000000022−22−22220000000000000000
χ554-44-44-44-4-4404000-400000000000000000000000000−222222−220000000000000000
χ564-44-4-44-44-4-444-44-4440000-40000000000000000000000000000000000000000
χ574-4-44-4-4440040-4-44004-4-4400000000000000000000000000000000000000000
χ584-4-44-4-4440040-4-4400-444-400000000000000000000000000000000000000000
χ594-4-44-4-44400-4044-40000000000000000000000022−22−222200000000000000000000
χ604-4-44-4-44400-4044-400000000000000000000000−222222−2200000000000000000000
χ6188-8-8-888-8000000000000000000000000000000000000000000000000000000
χ628-8-8888-8-8000000000000000000000000000000000000000000000000000000

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