Finite Group Databasebeta

← Group #261437

Character table — Group #261437

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-111111-1-111-11-11-111-1-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-111111-1-111-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1111-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1111-1-1-1-1-1-11-1-1-11-1-1-111-1-111111111-1-1-1-1
χ9111111111111-1-1111111-1-1-111-1-111-1-1-1-1-111111-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111-1-1-111-1-111-1-1-1-1-1-1-111111-1-111-1-111-1-111
χ11111111111111-1-1111111-1-1-1-1-1-1-1-1-111-111111-1-1-1-111-1-1-1-111-1-111
χ12111111111111-1-1111111-1-1-1-1-1-1-1-1-111-111-1-11-1-111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-1-1-1-11111111-11-1111-1-1-1-1-1-1-11111-1-1-1-111
χ14111111111111-1-11111-1-1-1-1-11111111-11-11-1-1-1-1-11111-1-1-1-11111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-111-1-1-1111-111-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-11111-1-1-1-1-1-1-111-1-1-1111-1-1-1-1111111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2222-2-200220000-20000-20000000000000000
χ1822222222222222-2-2-2-2-2-22-2-200-2-200002000020000000000000000
χ19222222222222-2-2-2-2-2-222-22200-2-2000020000-20000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-22200220000-2000020000000000000000
χ2122222222-2-2-2-2222-2-2200-22-20000002000-2000-2200000000000000
χ2222222222-2-2-2-2222-2-2200-22-2000000-200020002-200000000000000
χ2322222222-2-2-2-222-222-200-2-222200-2-2020-200000000000000000000
χ2422222222-2-2-2-222-222-200-2-22-2-200220-20200000000000000000000
χ2522222222-2-2-2-2-2-22-2-22002-220000002000-20002-200000000000000
χ2622222222-2-2-2-2-2-22-2-22002-22000000-20002000-2200000000000000
χ2722222222-2-2-2-2-2-2-222-20022-22200-2-20-20200000000000000000000
χ2822222222-2-2-2-2-2-2-222-20022-2-2-20022020-200000000000000000000
χ292-2-22-2-22222-2-20022-2-2000002-2002-2000002i−2i0000000002i−2i000000
χ302-2-22-2-22222-2-20022-2-2000002-2002-200000−2i2i000000000−2i2i000000
χ312-2-22-2-22222-2-20022-2-200000-2200-22000002i−2i000000000−2i2i000000
χ322-2-22-2-22222-2-20022-2-200000-2200-2200000−2i2i0000000002i−2i000000
χ332-2-22-2-222-2-22200-22-22000002-200-2200000000002-20000002-20000
χ342-2-22-2-222-2-22200-22-22000002-200-220000000000-22000000-220000
χ352-2-22-2-222-2-22200-22-2200000-22002-200000000002-2000000-220000
χ362-2-22-2-222-2-22200-22-2200000-22002-20000000000-220000002-20000
χ3744-444-4-4-44-44-400000000000000000000000000000000000000022−22
χ3844-444-4-4-44-44-4000000000000000000000000000000000000000−2222
χ3944-444-4-4-4-44-4400000000000000000000000000000000000002i2−2i200
χ4044-444-4-4-4-44-440000000000000000000000000000000000000−2i22i200
χ414-444-44-4-44-4-4400000000000004i−4i00000000000000000000000000
χ424-444-44-4-44-4-440000000000000−4i4i00000000000000000000000000
χ434-444-44-4-4-444-40000004-4000000000000000000000000000000000
χ444-444-44-4-4-444-4000000-44000000000000000000000000000000000
χ454-4-44-4-44444-4-400-4-44400000000000000000000000000000000000
χ464-4-44-4-444-4-444004-44-400000000000000000000000000000000000
χ474-4-4-4444-400004i−4i0000000000000000000000000002-22i−2i00000000
χ484-4-4-4444-400004i−4i000000000000000000000000000-22−2i2i00000000
χ494-4-4-4444-40000−4i4i0000000000000000000000000002-2−2i2i00000000
χ504-4-4-4444-40000−4i4i000000000000000000000000000-222i−2i00000000
χ51888-8-8-88-8000000000000000000000000000000000000000000000
χ5288-8-8-88-88000000000000000000000000000000000000000000000
χ538-88-88-8-88000000000000000000000000000000000000000000000

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