Finite Group Databasebeta

← Group #295397

Character table — Group #295397

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-1111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ91111111111111-1-111111-1-1-11111-1-11-1-1-11-11-111-1-111-1-111-1-111-1-1
χ101111111111111-1-111111-1-1-11111-1-11-1-1-11-11-1-1-111-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-111-1-111-11-1-1-11-1111-1-1-1-111-1-11111-1-1
χ121111111111111-1-111111-1-1-111-1-111-11-1-1-11-11-1-11111-1-111-1-1-1-111
χ131111111111111-1-1111-1-1-1-1-1-1-111-1-1-11111-1-1111-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-1-1-1-111-1-1-11111-1-11-1-111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-1111-111-111-111-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-1111-111-111-1-1-11111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2002-2-20022220000-2-2000000000000000000
χ18222222222222-222-2-2-2002-2-200-2-2-2-2000022000000000000000000
χ19222222222222-2-2-2-2-2-200-2220022-2-20000-22000000000000000000
χ20222222222222-2-2-2-2-2-200-22200-2-22200002-2000000000000000000
χ2122222222-2-2-2-2222-2-2222-22-2-2-20000002-200000000000000000000
χ2222222222-2-2-2-2222-2-22-2-2-22-222000000-2200000000000000000000
χ2322222222-2-2-2-22-2-2-2-22222-22-2-2000000-2200000000000000000000
χ2422222222-2-2-2-22-2-2-2-22-2-22-22220000002-200000000000000000000
χ2522222222-2-2-2-2-22222-200-2-22000000220000-2-20000000000000000
χ2622222222-2-2-2-2-22222-200-2-22000000-2-20000220000000000000000
χ2722222222-2-2-2-2-2-2-222-20022-20000002-20000-220000000000000000
χ2822222222-2-2-2-2-2-2-222-20022-2000000-2200002-20000000000000000
χ2922-222-2-2-22-22-2-2002-222i−2i0002i−2i0000000000000000002-2002i−2i0000
χ3022-222-2-2-22-22-2-2002-222i−2i0002i−2i000000000000000000-2200−2i2i0000
χ3122-222-2-2-22-22-2-2002-22−2i2i000−2i2i0000000000000000002-200−2i2i0000
χ3222-222-2-2-22-22-2-2002-22−2i2i000−2i2i000000000000000000-22002i−2i0000
χ3322-222-2-2-2-22-22-200-2222i−2i000−2i2i00000000000000002-2002i−2i000000
χ3422-222-2-2-2-22-22-200-2222i−2i000−2i2i0000000000000000-2200−2i2i000000
χ3522-222-2-2-2-22-22-200-222−2i2i0002i−2i00000000000000002-200−2i2i000000
χ3622-222-2-2-2-22-22-200-222−2i2i0002i−2i0000000000000000-22002i−2i000000
χ3744-444-4-4-44-44-4400-44-400000000000000000000000000000000000
χ3844-444-4-4-4-44-444004-4-400000000000000000000000000000000000
χ394-444-4-4-4444-4-400000000000000000000000000000000000002i2−2i200
χ404-444-4-4-4444-4-40000000000000000000000000000000000000−2i22i200
χ414-444-4-4-44-4-44400000000000000000000000000000000000000022−22
χ424-444-4-4-44-4-444000000000000000000000000000000000000000−2222
χ434-4-44-444-44-4-440000000000000004i−4i000000000000000000000000
χ444-4-44-444-44-4-44000000000000000−4i4i000000000000000000000000
χ454-4-44-444-4-444-400000000000004i−4i00000000000000000000000000
χ464-4-44-444-4-444-40000000000000−4i4i00000000000000000000000000
χ474-4-4-44-444000004-400000000000000000000002-22-2000000000000
χ484-4-4-44-444000004-40000000000000000000000-22-22000000000000
χ494-4-4-44-44400000-4400000000000000000000002-2-22000000000000
χ504-4-4-44-44400000-440000000000000000000000-222-2000000000000
χ51888-8-8-88-8000000000000000000000000000000000000000000000
χ5288-8-8-88-88000000000000000000000000000000000000000000000
χ538-88-888-8-8000000000000000000000000000000000000000000000

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