Finite Group Databasebeta

← Group #297441

Character table — Group #297441

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-111-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-1111-1-11111-1-1-1-1111-11-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1111-1-11111-1-1-1-1-1-11-11-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1111-1-1-1-1-1-11-1-1111-11-1111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1111-1-1-1-1-1-11-1-11-1-1-11-11-1-11111-1-1-1-11111
χ9111111111111-1-1111111-1-1-11111-1-11-1-1-111-111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111-1-1-11111-1-11-1-1-1-1-1-111-111-1-111-1-111-1-111
χ11111111111111-1-1111111-1-1-111-1-111-1-1-11111-1-11-1-1-1-111-1-11111-1-1
χ12111111111111-1-1111111-1-1-111-1-111-1-1-11-1-11-1-111111-1-111-1-1-1-111
χ13111111111111-1-11111-1-1-1-1-1-1-111-1-1-111111-1-111-1-111-1-1-1-111-1-111
χ14111111111111-1-11111-1-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-11111-1-111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-1-1-1-1-1-1-111111-1-1-111-1-11111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-200-2-22002222000000-20-2000000000000000
χ1822222222222222-2-2-2-200-2-2200-2-2-2-2000000202000000000000000
χ19222222222222-2-2-2-2-2-20022-20022-2-200000020-2000000000000000
χ20222222222222-2-2-2-2-2-20022-200-2-222000000-202000000000000000
χ2122222222-2-2-2-2222-2-22222-2-2-2-200000-22000000000000000000000
χ2222222222-2-2-2-2222-2-22-2-22-2-222000002-2000000000000000000000
χ2322222222-2-2-2-222-222-200-22-20000002002000-20-200000000000000
χ2422222222-2-2-2-222-222-200-22-2000000-200-200020200000000000000
χ2522222222-2-2-2-2-2-22-2-2222-222-2-2000002-2000000000000000000000
χ2622222222-2-2-2-2-2-22-2-22-2-2-2222200000-22000000000000000000000
χ2722222222-2-2-2-2-2-2-222-2002-22000000200-2000-20200000000000000
χ2822222222-2-2-2-2-2-2-222-2002-22000000-200200020-200000000000000
χ292-2-2-2-22222-22-200-22-222-20002-20000000000000000002-2002-20000
χ302-2-2-2-22222-22-200-22-222-20002-2000000000000000000-2200-220000
χ312-2-2-2-22222-22-200-22-22-22000-220000000000000000002-200-220000
χ322-2-2-2-22222-22-200-22-22-22000-22000000000000000000-22002-20000
χ332-2-2-2-2222-22-2200-2-2222-2000-2200000000000000002-2002-2000000
χ342-2-2-2-2222-22-2200-2-2222-2000-220000000000000000-2200-22000000
χ352-2-2-2-2222-22-2200-2-222-220002-200000000000000002-200-22000000
χ362-2-2-2-2222-22-2200-2-222-220002-20000000000000000-22002-2000000
χ37444-4-4-44-444-4-400000000000004-400000000000000000000000000
χ38444-4-4-44-444-4-40000000000000-4400000000000000000000000000
χ39444-4-4-44-4-4-4440000000000000004i−4i000000000000000000000000
χ40444-4-4-44-4-4-444000000000000000−4i4i000000000000000000000000
χ4144-44-4-4-4400004i−4i00000000000000000002i−2i00002-2000000000000
χ4244-44-4-4-4400004i−4i0000000000000000000−2i2i0000-22000000000000
χ4344-44-4-4-440000−4i4i00000000000000000002i−2i0000-22000000000000
χ4444-44-4-4-440000−4i4i0000000000000000000−2i2i00002-2000000000000
χ454-4-444-44-44-4-440000000000000000000000000000000000000002i2−2i2
χ464-4-444-44-44-4-44000000000000000000000000000000000000000−2i22i2
χ474-4-444-44-4-444-400000000000000000000000000000000000002i2−2i200
χ484-4-444-44-4-444-40000000000000000000000000000000000000−2i22i200
χ494-4-4-4-44444-44-4004-44-400000000000000000000000000000000000
χ504-4-4-4-4444-44-440044-4-400000000000000000000000000000000000
χ5188-8-888-8-8000000000000000000000000000000000000000000000
χ528-888-88-8-8000000000000000000000000000000000000000000000
χ538-88-88-8-88000000000000000000000000000000000000000000000

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