Finite Group Databasebeta

← Group #328349

Character table — Group #328349

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444422444444444488888888888822
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1111-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-11-1-1-1111-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111111-11-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ9111111111-1-111-1-1-1-1111-1111-1-11-1-111-1-111-1-111-1-111-1-11-1
χ10111111111-1-111-1-1-1-1111-1111-1-11-1-111-1-1-1-111-1-111-1-111-11
χ11111111111-1-111-1-1-1-1111-11-11-1-1-111-1-11111-1-111-1-1-1-111-11
χ12111111111-1-111-1-1-1-1111-11-11-1-1-111-1-111-1-111-1-11111-1-11-1
χ13111111111-1-111-1-1-1-1111-1-11-1111-1-1-1-11111-1-1-1-11111-1-1-11
χ14111111111-1-111-1-1-1-1111-1-11-1111-1-1-1-111-1-11111-1-1-1-1111-1
χ15111111111-1-111-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-111-1-1111-1
χ16111111111-1-111-1-1-1-1111-1-1-1-111-11111-1-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2-2-22-2-22000000002-22-200000000000000
χ1822222222222-2-2-2-2-2-22-2-2200000000-22-2200000000000000
χ19222222222-2-2-2-222222-2-2-2000000002-2-2200000000000000
χ20222222222-2-2-2-222222-2-2-200000000-222-200000000000000
χ2122222222-2222-222-2-2-22-2-202000-22-2000000000000000000
χ2222222222-2222-222-2-2-22-2-20-20002-22000000000000000000
χ2322222222-222-22-2-222-2-22-220-22-2000000000000000000000
χ2422222222-222-22-2-222-2-22-2-202-22000000000000000000000
χ2522222222-2-2-22-2-2-222-22-2202000-2-22000000000000000000
χ2622222222-2-2-22-2-2-222-22-220-200022-2000000000000000000
χ2722222222-2-2-2-2222-2-2-2-22220-2-22000000000000000000000
χ2822222222-2-2-2-2222-2-2-2-222-2022-2000000000000000000000
χ294444-4-4-4-404-400000000000000000000002i−2i2i−2i0000000000
χ304444-4-4-4-404-40000000000000000000000−2i2i−2i2i0000000000
χ314444-4-4-4-40-4400000000000000000000002i−2i−2i2i0000000000
χ324444-4-4-4-40-440000000000000000000000−2i2i2i−2i0000000000
χ3344-4-444-4-4400440000-4-4-4000000000000000000000000000
χ3444-4-444-4-4400-4-40000-444000000000000000000000000000
χ3544-4-444-4-4-4004-400004-44000000000000000000000000000
χ3644-4-444-4-4-400-44000044-4000000000000000000000000000
χ374-4-444-44-400000004-4000000000000000000002-22-2000000
χ384-4-444-44-400000004-400000000000000000000-22-22000000
χ394-4-444-44-40000000-44000000000000000000002-2-22000000
χ404-4-444-44-40000000-4400000000000000000000-222-2000000
χ414-4-44-44-44000004-4000000000000000000000000002-22-200
χ424-4-44-44-44000004-400000000000000000000000000-22-2200
χ434-4-44-44-4400000-44000000000000000000000000002-2-2200
χ444-4-44-44-4400000-4400000000000000000000000000-222-200
χ4588-8-8-8-888000000000000000000000000000000000000000
χ468-88-88-8-88000000000000000000000000000000000000000
χ478-88-8-888-8000000000000000000000000000000000000000

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