Finite Group Databasebeta

← Group #278593

Character table — Group #278593

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444444444444488888888888161616161616161616161616161632323232
order12224444442224444488888844888888888248888888888882488
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
χ911111111111-1-1-1-1111111111-1-11-1-1-1-1111111-11111-1-1-1-1-1-1-111-1-1
χ1011111111111-1-1-1-1111111111-1-11-1-1-1-11111-1-1111-1-11-1-1-1-111-1-111
χ1111111111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-1-111
χ1211111111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1
χ1311111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-1-1-111111-1-11
χ1411111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1111-1-111-1-1-111-1
χ1511111111111-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1-111-1-111-111-1
χ1611111111111-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-111-1-11-1111111-1-1-1-11-1-11
χ17222222-2-222-222222-2-2000000-2-20000000002-2-2000020000000000
χ18222222-2-222-222222-2-2000000-2-2000000000-2220000-20000000000
χ19222222-2-222-2-2-2-2-22-2-2000000220000000002-220000-20000000000
χ20222222-2-222-2-2-2-2-22-2-200000022000000000-22-2000020000000000
χ2122222-2222-2-222-2-2-2-222222-2-22-2-222-2-20000000000000000000000
χ2222222-2222-2-222-2-2-2-22-2-2-2-2222-22-2-2220000000000000000000000
χ2322222-2222-2-2-2-222-2-222222-2-2-22-2-2-2220000000000000000000000
χ2422222-2222-2-2-2-222-2-22-2-2-2-222-22222-2-20000000000000000000000
χ2522222-2-2-22-2222-2-2-22-2000000-22000000000000002i−2i000002i−2i0000
χ2622222-2-2-22-2222-2-2-22-2000000-2200000000000000−2i2i00000−2i2i0000
χ2722222-2-2-22-22-2-222-22-20000002-2000000000000002i−2i00000−2i2i0000
χ2822222-2-2-22-22-2-222-22-20000002-200000000000000−2i2i000002i−2i0000
χ292222-2222-22-20000-22-222-2-22200-200002222000-2-20000000000000
χ302222-2222-22-20000-22-222-2-22200-20000-2-2-2-2000220000000000000
χ312222-2222-22-20000-22-2-2-222-2-2002000022-2-2000-220000000000000
χ322222-2222-22-20000-22-2-2-222-2-20020000-2-2220002-20000000000000
χ332222-2-222-2-2200002-2-222-2-2-2-200200000000000000002i−2i2i−2i000000
χ342222-2-222-2-2200002-2-222-2-2-2-20020000000000000000−2i2i−2i2i000000
χ352222-2-222-2-2200002-2-2-2-2222200-200000000000000002i−2i−2i2i000000
χ362222-2-222-2-2200002-2-2-2-2222200-20000000000000000−2i2i2i−2i000000
χ374444-44-4-4-4440000-4-4400000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4000044400000000000000000000000000000000000
χ394-44-4004-4000000000000004i−4i000000022−222i2−2i2000000000000000000
χ404-44-4004-4000000000000004i−4i0000000−2222−2i22i2000000000000000000
χ414-44-4004-400000000000000−4i4i000000022−22−2i22i2000000000000000000
χ424-44-4004-400000000000000−4i4i0000000−22222i2−2i2000000000000000000
χ434-4-444000-400004i−4i00022−2222−2200000002i2−2i20000000000000000000000
χ444-4-444000-400004i−4i000−2222−22220000000−2i22i20000000000000000000000
χ454-4-444000-40000−4i4i00022−2222−220000000−2i22i20000000000000000000000
χ464-4-444000-40000−4i4i000−2222−222200000002i2−2i20000000000000000000000
χ474-4-44-40004004-40000022−22−22220000022−22000000000000000000000000
χ484-4-44-40004004-400000−222222−2200000−2222000000000000000000000000
χ494-4-44-4000400-440000022−22−222200000−2222000000000000000000000000
χ504-4-44-4000400-4400000−222222−220000022−22000000000000000000000000
χ5188-8-808000-80000000000000000000000000000000000000000000
χ5288-8-80-800080000000000000000000000000000000000000000000
χ538-88-800-88000000000000000000000000000000000000000000000

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