Finite Group Databasebeta

← Group #261450

Character table — Group #261450

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-11-11-111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-11-11-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-111111-1-1111-1-1-1-1-1111-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111111-1-1111-1-1-1-1-1-1-11-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1111-1-1-1-1-1-1-11-11-1111-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1111-1-1-1-1-1-1-11-11-11-1-1-11-1-111111111-1-1-1-1
χ9111111111111-1-1111111-1-1-11111-1-11-1-11-1-111-11-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111-1-1-11111-1-11-1-11-1-1-1-1-1111-1-111-1-111-1-111
χ11111111111111-1-1111111-1-1-1-1-11111-11-1-1-11111-1-1-1-1-11111-1-1-1-111
χ12111111111111-1-1111111-1-1-1-1-11111-11-1-1-11-1-11-11111-1-1-1-11111-1-1
χ13111111111111-1-11111-1-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-1-1-111-1-111
χ14111111111111-1-11111-1-1-1-1-111-1-1-1-1111-111-1-1-1-111-1-11111-1-111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1111-11111-1-1-1-111-1-11111-1-1
χ16111111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1111-1-1-1111111-1-111-1-1-1-111
χ1722222222222222-2-2-2-200-2-22220022-20000000-2000000000000000
χ1822222222222222-2-2-2-200-2-22-2-200-2-2200000002000000000000000
χ19222222222222-2-2-2-2-2-20022-22200-2-2-200000002000000000000000
χ20222222222222-2-2-2-2-2-20022-2-2-2002220000000-2000000000000000
χ2122222222-2-2-2-2222-2-22002-2-2000000020-20-2000200000000000000
χ2222222222-2-2-2-2222-2-22002-2-20000000-20202000-200000000000000
χ2322222222-2-2-2-222-222-222-22-200-2-2000020-20000000000000000000
χ2422222222-2-2-2-222-222-2-2-2-22-200220000-2020000000000000000000
χ2522222222-2-2-2-2-2-22-2-2200-22200000002020-2000-200000000000000
χ2622222222-2-2-2-2-2-22-2-2200-2220000000-20-202000200000000000000
χ2722222222-2-2-2-2-2-2-222-2222-2200-2-20000-2020000000000000000000
χ2822222222-2-2-2-2-2-2-222-2-2-22-220022000020-20000000000000000000
χ292-2-22-22-2222-2-20022-2-22-2000002-2000000002i−2i000000002i−2i000000
χ302-2-22-22-2222-2-20022-2-22-2000002-200000000−2i2i00000000−2i2i000000
χ312-2-22-22-2222-2-20022-2-2-2200000-22000000002i−2i00000000−2i2i000000
χ322-2-22-22-2222-2-20022-2-2-2200000-2200000000−2i2i000000002i−2i000000
χ332-2-22-22-22-2-22200-22-222-200000-220000000000002-20000002-20000
χ342-2-22-22-22-2-22200-22-222-200000-22000000000000-22000000-220000
χ352-2-22-22-22-2-22200-22-22-22000002-20000000000002-2000000-220000
χ362-2-22-22-22-2-22200-22-22-22000002-2000000000000-220000002-20000
χ37444-4-44-4-44-44-40000000000000004-4000000000000000000000000
χ38444-4-44-4-44-44-4000000000000000-44000000000000000000000000
χ39444-4-44-4-4-44-44000000000004i−4i0000000000000000000000000000
χ40444-4-44-4-4-44-4400000000000−4i4i0000000000000000000000000000
χ414-444-4-44-400004i−4i0000000000000000000000000002-22i−2i00000000
χ424-444-4-44-400004i−4i000000000000000000000000000-22−2i2i00000000
χ434-444-4-44-40000−4i4i0000000000000000000000000002-2−2i2i00000000
χ444-444-4-44-40000−4i4i000000000000000000000000000-222i−2i00000000
χ454-4-44-44-4444-4-400-4-44400000000000000000000000000000000000
χ464-4-44-44-44-4-444004-44-400000000000000000000000000000000000
χ474-4-4-4444-44-4-4400000000000000000000000000000000000000022−22
χ484-4-4-4444-44-4-44000000000000000000000000000000000000000−2222
χ494-4-4-4444-4-444-400000000000000000000000000000000000002i2−2i200
χ504-4-4-4444-4-444-40000000000000000000000000000000000000−2i22i200
χ5188-888-8-8-8000000000000000000000000000000000000000000000
χ5288-8-8-8-888000000000000000000000000000000000000000000000
χ538-88-88-8-88000000000000000000000000000000000000000000000

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