Finite Group Databasebeta

← Group #328479

Character table — Group #328479

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444444444448888888844448888888822
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-11
χ1211111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-11
χ1411111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-11
χ17222222222222222-2-2-22-222-2-2-2-200002222-20000-2-2-2-20000000000000000000000
χ18222222222222222-2-2-22-222-2-2-2-20000-2-2-2-2-2000022220000000000000000000000
χ19222222222222-2-2-2222-22-2-222-2-222220000-2-2-2-2-200000000000000000000000000
χ20222222222222-2-2-2222-22-2-222-2-2-2-2-2-20000-2222200000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-22200000000200000000000000002-22-20000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2220000000020000000000000000-22-220000000000
χ2322222222-2-2-2-2222-2-2-22-2-2-222-2-2000022-2-220000-2-2220000000000000000000000
χ2422222222-2-2-2-2222-2-2-22-2-2-222-2-20000-2-2222000022-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2222-2222-2-2-2-222-2-200002-2-22200000000000000000000000000
χ2622222222-2-2-2-2-2-2-2222-2222-2-2-2-2-2-2220000222-2-200000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-200000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-20000000000000000-222-20000000000
χ292222-2-2-2-222-2-20002-2-202002-2002-22-20000000000000i2i2−i2−i2i2i2−i2−i20000i2−i2i2−i2000000
χ302222-2-2-2-222-2-20002-2-202002-2002-22-20000000000000−i2−i2i2i2−i2−i2i2i20000−i2i2−i2i2000000
χ312222-2-2-2-222-2-20002-2-202002-200-22-220000000000000i2i2−i2−i2i2i2−i2−i20000−i2i2−i2i2000000
χ322222-2-2-2-222-2-20002-2-202002-200-22-220000000000000−i2−i2i2i2−i2−i2i2i20000i2−i2i2−i2000000
χ332222-2-2-2-2-2-2220002-2-20200-22002-2-220000000000000i2i2−i2−i2−i2−i2i2i20000i2−i2−i2i2000000
χ342222-2-2-2-2-2-2220002-2-20200-22002-2-220000000000000−i2−i2i2i2i2i2−i2−i20000−i2i2i2−i2000000
χ352222-2-2-2-2-2-2220002-2-20200-2200-222-20000000000000i2i2−i2−i2−i2−i2i2i20000−i2i2i2−i2000000
χ362222-2-2-2-2-2-2220002-2-20200-2200-222-20000000000000−i2−i2i2i2i2i2−i2−i20000i2−i2−i2i2000000
χ3722-2-222-2-22-22-22-2-2000202-2000000002-22-2000000000i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i200
χ3822-2-222-2-22-22-22-2-2000202-2000000002-22-2000000000−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i200
χ3922-2-222-2-22-22-22-2-2000202-200000000-22-22000000000i2−i2i2−i2i2−i2i2−i200000000−i2i2−i2i200
χ4022-2-222-2-22-22-22-2-2000202-200000000-22-22000000000−i2i2−i2i2−i2i2−i2i200000000i2−i2i2−i200
χ4122-2-222-2-2-22-222-2-200020-22000000002-2-22000000000i2−i2i2−i2−i2i2−i2i200000000i2−i2−i2i200
χ4222-2-222-2-2-22-222-2-200020-22000000002-2-22000000000−i2i2−i2i2i2−i2i2−i200000000−i2i2i2−i200
χ4322-2-222-2-2-22-222-2-200020-2200000000-222-2000000000i2−i2i2−i2−i2i2−i2i200000000−i2i2i2−i200
χ4422-2-222-2-2-22-222-2-200020-2200000000-222-2000000000−i2i2−i2i2i2−i2i2−i200000000i2−i2−i2i200
χ454444-4-4-4-444-4-4000-4440-400-4400000000000000000000000000000000000000000
χ464444-4-4-4-4-4-444000-4440-4004-400000000000000000000000000000000000000000
χ4744-4-444-4-44-44-4-444000-40-440000000000000000000000000000000000000000000
χ4844-4-444-4-4-44-44-444000-404-40000000000000000000000000000000000000000000
χ4944-4-4-4-4444-4-4400000000000000000000000000000002-2-222-2-2200000000000000
χ5044-4-4-4-4444-4-440000000000000000000000000000000-222-2-222-200000000000000
χ5144-4-4-4-444-444-400000000000000000000000000000002-2-22-222-200000000000000
χ5244-4-4-4-444-444-40000000000000000000000000000000-222-22-2-2200000000000000
χ534-44-44-44-4000000044-40-40000000000000004i−4i0000000000000000000000000000
χ544-44-44-44-4000000044-40-4000000000000000−4i4i0000000000000000000000000000
χ554-44-44-44-40000000-4-4404000000000000000004-400000000000000000000000000
χ564-44-44-44-40000000-4-440400000000000000000-4400000000000000000000000000
χ574-44-4-44-44000044-44-44-4-400004-4000000000000000000000000000000000000000
χ584-44-4-44-44000044-4-44-4-440000-44000000000000000000000000000000000000000
χ594-44-4-44-440000-4-444-444-40000-44000000000000000000000000000000000000000
χ604-44-4-44-440000-4-44-44-44400004-4000000000000000000000000000000000000000
χ614-4-44-444-400004-44000-400000000000000000000004i−4i0000000000000000000000
χ624-4-44-444-400004-44000-40000000000000000000000−4i4i0000000000000000000000
χ634-4-44-444-40000-44-40004000000000000000000004-4000000000000000000000000
χ644-4-44-444-40000-44-4000400000000000000000000-44000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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