Finite Group Databasebeta

← Group #348634

Character table — Group #348634

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442224444488888888882224444444888888888888888248888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-11-1-1-1-11-11-1-111-1-1-1-1-1-11111-1-111-1-1
χ41111111111111111111111111111-1-1-11-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-111111111-1-1-111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-1111111-1-1111-1-111-1
χ911111111111-1-11-1-1111111-1-1-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-111-1-11-1-11-11
χ1011111111111-1-11-1-1111111-1-1-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-1-1-111-111-11-1
χ1111111111111-1-11-1-1111111-1-1-1-1-1-1-1-11-11-1-11-11-1-1-111-1-1111111-1-1-11-111-1
χ1211111111111-1-11-1-1111111-1-1-1-1-1-1-1-11-11-1-11-11-1-1-111-1-11111-1-1111-11-1-11
χ1311111111111-1-11-1-111-1-1-1-111111111-1-1-111-1-1-11-1-1-1-1-1-11111111111-1-1-1-1
χ1411111111111-1-11-1-111-1-1-1-111111111-1-1-111-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-11111
χ1511111111111-1-11-1-111-1-1-1-1111111-1-11-11-1-11-11111-1-111-1-1-1-11111-1-1-1-111
χ1611111111111-1-11-1-111-1-1-1-1111111-1-11-11-1-11-11111-1-111-1-1-1-1-1-1-1-11111-1-1
χ17222222-222-2-222-2-2-2-2200000000002222-2-2-2-2-22000000000000000000000
χ18222222-222-2-222-2-2-2-220000000000-2-2-222222-2-2000000000000000000000
χ19222222-222-2-2-2-2-222-22000000000022-2-22-2-222-2000000000000000000000
χ20222222-222-2-2-2-2-222-220000000000-2-22-2-222-222000000000000000000000
χ2122222-222-22-200-2002-200002222-2-20020-20020-2-2-2-2002200000000000000
χ2222222-222-22-200-2002-200002222-2-200-20200-202-22200-2-200000000000000
χ2322222-222-22-200-2002-20000-2-2-2-2220020-20020-222200-2-200000000000000
χ2422222-222-22-200-2002-20000-2-2-2-22200-20200-2022-2-2002200000000000000
χ2522222-2-22-2-2200200-2-22i2i−2i−2i0000000020200-20-20002i−2i002i2i−2i−2i0000000000
χ2622222-2-22-2-2200200-2-22i2i−2i−2i00000000-20-2002020002i−2i00−2i−2i2i2i0000000000
χ2722222-2-22-2-2200200-2-2−2i−2i2i2i0000000020200-20-2000−2i2i00−2i−2i2i2i0000000000
χ2822222-2-22-2-2200200-2-2−2i−2i2i2i00000000-20-200202000−2i2i002i2i−2i−2i0000000000
χ292222-222-222-222222-2-2222222-2-222000-20000-20-200-2-20000000000000000
χ302222-222-222-222222-2-2-2-2-2-2-2-222-2-2000-20000-20200220000000000000000
χ312222-222-222-2-2-22-2-2-2-22222-2-222-2-20002000020200-2-20000000000000000
χ322222-222-222-2-2-22-2-2-2-2-2-2-2-222-2-2220002000020-200220000000000000000
χ332222-22-2-22-2222-2-2-22-20000000000000-200002002i−2i002i−2i2i−2i2i−2i0000000000
χ342222-22-2-22-2222-2-2-22-20000000000000-20000200−2i2i00−2i2i−2i2i−2i2i0000000000
χ352222-22-2-22-22-2-2-2222-2000000000000020000-2002i−2i002i−2i−2i2i−2i2i0000000000
χ362222-22-2-22-22-2-2-2222-2000000000000020000-200−2i2i00−2i2i2i−2i2i−2i0000000000
χ372222-2-22-2-22200-200-22000022-2-2-2-22-20002-200020000002-2-220000000000
χ382222-2-22-2-22200-200-22000022-2-2-2-2-22000-220002000000-222-20000000000
χ392222-2-22-2-22200-200-220000-2-222222-20002-2000-2000000-222-20000000000
χ402222-2-22-2-22200-200-220000-2-22222-22000-22000-20000002-2-220000000000
χ412222-2-2-2-2-2-2-200200222i2i−2i−2i0000002-2000-220000−2i2i−2i2i2i−2i00000000000000
χ422222-2-2-2-2-2-2-200200222i2i−2i−2i000000-220002-200002i−2i−2i2i−2i2i00000000000000
χ432222-2-2-2-2-2-2-20020022−2i−2i2i2i0000002-2000-2200002i−2i2i−2i−2i2i00000000000000
χ442222-2-2-2-2-2-2-20020022−2i−2i2i2i000000-220002-20000−2i2i2i−2i2i−2i00000000000000
χ454-44-400400-4000000000000004i−4i000000000000000000000002-22i−2i000000
χ464-44-400400-4000000000000004i−4i00000000000000000000000-22−2i2i000000
χ474-44-400400-400000000000000−4i4i000000000000000000000002-2−2i2i000000
χ484-44-400400-400000000000000−4i4i00000000000000000000000-222i−2i000000
χ494-4-440400-4000004i−4i002i2−2i22i2−2i222−220022−220000000000000000000000000000000
χ504-4-440400-4000004i−4i00−2i22i2−2i22i2−222200−22220000000000000000000000000000000
χ514-4-440400-400000−4i4i002i2−2i22i2−2i2−222200−22220000000000000000000000000000000
χ524-4-440400-400000−4i4i00−2i22i2−2i22i222−220022−220000000000000000000000000000000
χ534-4-440-4004004-40000022−22−222222−2200−22220000000000000000000000000000000
χ544-4-440-4004004-400000−222222−22−22220022−220000000000000000000000000000000
χ554-4-440-400400-440000022−22−2222−22220022−220000000000000000000000000000000
χ564-4-440-400400-4400000−222222−2222−2200−22220000000000000000000000000000000
χ5788-8-8800-8000000000000000000000000000000000000000000000000000
χ5888-8-8-8008000000000000000000000000000000000000000000000000000
χ598-88-800-80080000000000000000000000000000000000000000000000000

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