Finite Group Databasebeta

← Group #316602

Character table — Group #316602

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224444448888888888161616161616161616161616161616161616161616161616
order12222222444444444444442488888888444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1111111-111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1
χ9111111111111111111-1-1-1-1-1-111-1-111-1-11-1-111-1-1111-1-111-1-111-1-111-1-1
χ10111111111111111111-1-1-1-1-1-111-1-111-1-11-1-1-1-111-1-111111-1-1-1-111-1-111
χ11111111111111111111-1-1-1-1-1-111-1-111-1-1-11111-1-111-1-1-1-1-111-1-111-1-111
χ12111111111111111111-1-1-1-1-1-111-1-111-1-1-111-1-111-1-1-111-1-11111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-1-1111-1-11111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-111-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-111-11111-1-1-1-1-11111-1-1-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-111-1-111-111-1-11111-1-1-111-1-111-1-1-1-111
χ17222222222-2-2222-2-2-2-222-2-2-222222-2-2-2-2000000000000000000000000
χ18222222222-2-2222-2-2-2-222-2-2-22-2-2-2-22222000000000000000000000000
χ19222222222-2-2222-2-2-2-2-2-2222-222-2-2-2-222000000000000000000000000
χ20222222222-2-2222-2-2-2-2-2-2222-2-2-22222-2-2000000000000000000000000
χ2122222222-222-2-2-222-2-22222-2-20000000022-2000000-200000000000000
χ2222222222-222-2-2-222-2-22222-2-200000000-2-22000000200000000000000
χ2322222222-222-2-2-222-2-2-2-2-2-222000000002-22000000-200000000000000
χ2422222222-222-2-2-222-2-2-2-2-2-22200000000-22-2000000200000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-22-2000000000000000000002i−2i2i−2i00000000
χ2622222222-2-2-2-2-2-2-2-22222-2-22-200000000000000000000−2i2i−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-222-2-222-22000000000000000000002i−2i−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-222-2-222-2200000000000000000000−2i2i2i−2i00000000
χ292-2-222-2-2222-22-2-22-22-2000000002i−2i002i−2i000002i−2i2-2000000000000000
χ302-2-222-2-2222-22-2-22-22-2000000002i−2i002i−2i00000−2i2i-22000000000000000
χ312-2-222-2-2222-22-2-22-22-200000000−2i2i00−2i2i000002i−2i-22000000000000000
χ322-2-222-2-2222-22-2-22-22-200000000−2i2i00−2i2i00000−2i2i2-2000000000000000
χ332-2-222-2-222-222-2-2-22-22000000002i−2i00−2i2i0002i−2i000002-2000000000000
χ342-2-222-2-222-222-2-2-22-22000000002i−2i00−2i2i000−2i2i00000-22000000000000
χ352-2-222-2-222-222-2-2-22-2200000000−2i2i002i−2i0002i−2i00000-22000000000000
χ362-2-222-2-222-222-2-2-22-2200000000−2i2i002i−2i000−2i2i000002-2000000000000
χ37444-44-4-4-4400-4-4400000000000000000000000000000000000022−220000
χ38444-44-4-4-4400-4-44000000000000000000000000000000000000−22220000
χ39444-44-4-4-4-40044-4000000000000000000000000000000000022−22000000
χ40444-44-4-4-4-40044-40000000000000000000000000000000000−2222000000
χ4144-4-4-44-44044000-4-40000000022−220022−2200000000000000000000000000
χ4244-4-4-44-44044000-4-400000000−222200−222200000000000000000000000000
χ4344-4-4-44-440-4-4000440000000022−2200−222200000000000000000000000000
χ4444-4-4-44-440-4-40004400000000−22220022−2200000000000000000000000000
χ454-44-4-4-44404-4000-44004i−4i4i−4i0000000000000000000000000000000000
χ464-44-4-4-44404-4000-4400−4i4i−4i4i0000000000000000000000000000000000
χ474-44-4-4-4440-440004-4004i−4i−4i4i0000000000000000000000000000000000
χ484-44-4-4-4440-440004-400−4i4i4i−4i0000000000000000000000000000000000
χ494-4-444-4-44-44-4-4444-4-4400000000000000000000000000000000000000
χ504-4-444-4-44-4-44-444-444-400000000000000000000000000000000000000
χ514-4-4-4444-4400-44-4000000000000000000000000000000000000002i2−2i200
χ524-4-4-4444-4400-44-400000000000000000000000000000000000000−2i22i200
χ534-4-4-4444-4-4004-44000000000000000000000000000000000000000022−22
χ544-4-4-4444-4-4004-440000000000000000000000000000000000000000−2222
χ5588-88-8-88-8000000000000000000000000000000000000000000000000
χ568-888-88-8-8000000000000000000000000000000000000000000000000

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