Finite Group Databasebeta

← Group #278602

Character table — Group #278602

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444444444444488888888888161616161616161616161616161632323232
order12224444442224444488888844888888888448888888888882488
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-111-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-11-111-111-1-111-11-11
χ7111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111111-11-1-11-1-111-1-1-11-11
χ8111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111-1-1-111111-11-1
χ911111111111-1-11-1-111111111-1-1-1-11-1-1111111-11111-1-1-1-1-1-1-111-1-1
χ1011111111111-1-11-1-111111111-1-1-1-11-1-11111-1-1111-1-11-1-1-1-111-1-111
χ1111111111111-1-11-1-111111111-1-1-1-11-1-1-1-1-1-111-1-1-111-11111-1-1-1-111
χ1211111111111-1-11-1-111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1
χ1311111111111-1-11-1-111-1-1-1-1-1-1-1-111-11111-1-111-11-1-1-1-1-1-111111-1-11
χ1411111111111-1-11-1-111-1-1-1-1-1-1-1-111-11111-1-1-1-111-1111-1-111-1-1-111-1
χ1511111111111-1-11-1-111-1-1-1-1-1-1-1-111-111-1-11111-1-11-1-1-111-1-111-111-1
χ1611111111111-1-11-1-111-1-1-1-1-1-1-1-111-111-1-111-1-11-1111111-1-1-1-11-1-11
χ17222222-222-2-222-2-2-2-2222-2-2222-2-2-2-2220000000000000000000000
χ18222222-222-2-222-2-2-2-22-2-222-2-22-2222-2-20000000000000000000000
χ19222222-222-2-2-2-2-222-2222-2-222-2222-2-2-20000000000000000000000
χ20222222-222-2-2-2-2-222-22-2-222-2-2-22-2-22220000000000000000000000
χ2122222-22-222-222222-2-2000000-2-20000000002-220000-20000000000
χ2222222-22-222-222222-2-2000000-2-2000000000-22-2000020000000000
χ2322222-22-222-2-2-22-2-2-2-2000000220000000002-2-2000020000000000
χ2422222-22-222-2-2-22-2-2-2-200000022000000000-2220000-20000000000
χ2522222-2-2-22-2222-2-2-22-2000000-22000000000000002i−2i000002i−2i0000
χ2622222-2-2-22-2222-2-2-22-2000000-2200000000000000−2i2i00000−2i2i0000
χ2722222-2-2-22-22-2-2-2222-20000002-2000000000000002i−2i00000−2i2i0000
χ2822222-2-2-22-22-2-2-2222-20000002-200000000000000−2i2i000002i−2i0000
χ292222-2222-22-200-2002-222-2-2-2-2000020022-2-2000-220000000000000
χ302222-2222-22-200-2002-222-2-2-2-20000200-2-2220002-20000000000000
χ312222-2222-22-200-2002-2-2-222220000-2002222000-2-20000000000000
χ322222-2222-22-200-2002-2-2-222220000-200-2-2-2-2000220000000000000
χ332222-22-22-2-2200200-2-22222-2-20000-2000000000000002i−2i2i−2i000000
χ342222-22-22-2-2200200-2-22222-2-20000-200000000000000−2i2i−2i2i000000
χ352222-22-22-2-2200200-2-2-2-2-2-22200002000000000000002i−2i−2i2i000000
χ362222-22-22-2-2200200-2-2-2-2-2-2220000200000000000000−2i2i2i−2i000000
χ374444-4-44-4-44400-400-4400000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4004004400000000000000000000000000000000000
χ3944-4-40-4040000000000004i−4i0000000002i2−2i222−22000000000000000000
χ4044-4-40-4040000000000004i−4i000000000−2i22i2−2222000000000000000000
χ4144-4-40-404000000000000−4i4i0000000002i2−2i2−2222000000000000000000
χ4244-4-40-404000000000000−4i4i000000000−2i22i222−22000000000000000000
χ434-4-444000-4000004i−4i0022−220022−22002i2−2i20000000000000000000000000
χ444-4-444000-4000004i−4i00−222200−222200−2i22i20000000000000000000000000
χ454-4-444000-400000−4i4i0022−220022−2200−2i22i20000000000000000000000000
χ464-4-444000-400000−4i4i00−222200−2222002i2−2i20000000000000000000000000
χ474-4-44-40004004-40000022−2200−22220000022−220000000000000000000000
χ484-4-44-40004004-400000−22220022−2200000−22220000000000000000000000
χ494-4-44-4000400-440000022−2200−222200000−22220000000000000000000000
χ504-4-44-4000400-4400000−22220022−220000022−220000000000000000000000
χ5188-8-8080-8000000000000000000000000000000000000000000000
χ528-88-800800-80000000000000000000000000000000000000000000
χ538-88-800-80080000000000000000000000000000000000000000000

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