Finite Group Databasebeta

← Group #265755

Character table — Group #265755

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11111-1-11-1-1-11-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-11-1-1111111111111-11-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-11-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-11-1-1-11-1-1-1-1-1-111111111
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ91111111111111-1-1-1-1-1-111111-111111111-1-1-1-1-1-1-111-1-1-11-111-1-111-1-111-1-1
χ101111111111111-1-1-1-1-1-111111-1111111-1-1-1-1-1-111-1-1-11-11-11-1-11111-1-1-1-111
χ111111111111111-1-1-1-1-1-111111-111-1-1-1-1111111-1-1-111-1-1-11-1-1-111-1-111-1-111
χ121111111111111-1-1-1-1-1-111111-111-1-1-1-1-1-1111111-1-1-11-11-1111-1-1-1-11111-1-1
χ131111111111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-111-111-1-1111-1-1-1-111-1-111
χ141111111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1111-11-1111-1-1-111-1-11111-1-1
χ151111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111-1-111-111-1-11-1-11111-1-111-1-1
χ161111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111111-11-1111-111-1-111-1-1-1-111
χ17222222222222-222-2-2-2-2-2-2-2002000000220000220-2000-200000000000000
χ18222222222222-222-2-2-2-2-2-2-2002000000-2-20000-2-202000200000000000000
χ19222222222222-2-2-22222-2-2-200-2000000220000-2-20-2000200000000000000
χ20222222222222-2-2-22222-2-2-200-2000000-2-200002202000-200000000000000
χ2122222222-2-2-2-222222-2-2-2-2200-200000000000000002-200-22000000000000
χ2222222222-2-2-2-222222-2-2-2-2200-20000000000000000-22002-2000000000000
χ2322222222-2-2-2-22-2-2-2-222-2-2200200000000000000002200-2-2000000000000
χ2422222222-2-2-2-22-2-2-2-222-2-220020000000000000000-2-20022000000000000
χ2522222222-2-2-2-2-222-2-22222-222-2-2-2000000000000-20002000000000000000
χ2622222222-2-2-2-2-222-2-22222-2-2-2-2220000000000002000-2000000000000000
χ2722222222-2-2-2-2-2-2-222-2-222-2222-2-20000000000002000-2000000000000000
χ2822222222-2-2-2-2-2-2-222-2-222-2-2-2222000000000000-20002000000000000000
χ292222-2-2-2-222-2-220000002-2-22-202-222-2-2000000000000000000002-2000000
χ302222-2-2-2-222-2-220000002-2-22-202-2-2-22200000000000000000000-22000000
χ312222-2-2-2-222-2-220000002-2-2-220-2222-2-200000000000000000000-22000000
χ322222-2-2-2-222-2-220000002-2-2-220-22-2-222000000000000000000002-2000000
χ332222-2-2-2-2-2-222-20000002-222-20-220000002i2i−2i−2i00000000000000002i−2i0000
χ342222-2-2-2-2-2-222-20000002-222-20-22000000−2i−2i2i2i0000000000000000−2i2i0000
χ352222-2-2-2-2-2-222-20000002-22-2202-20000002i2i−2i−2i0000000000000000−2i2i0000
χ362222-2-2-2-2-2-222-20000002-22-2202-2000000−2i−2i2i2i00000000000000002i−2i0000
χ374444-4-4-4-444-4-4-4000000-4440000000000000000000000000000000000000
χ384444-4-4-4-4-4-4444000000-44-40000000000000000000000000000000000000
χ3944-4-44-44-44-44-4000000000000000000000000000000000000000000022−2200
χ4044-4-44-44-44-44-40000000000000000000000000000000000000000000−222200
χ4144-4-44-44-4-44-440000000000000000000000000000000000000000000002i2−2i2
χ4244-4-44-44-4-44-44000000000000000000000000000000000000000000000−2i22i2
χ4344-4-4-44-444-4-4400000000000000000004i−4i00000000000000000000000000
χ4444-4-4-44-444-4-440000000000000000000−4i4i00000000000000000000000000
χ4544-4-4-44-44-444-400000000000000000000000004-400000000000000000000
χ4644-4-4-44-44-444-40000000000000000000000000-4400000000000000000000
χ474-44-44-4-44000004-40000000000002i−2i2i−2i002i−2i2i−2i0000000000000000000000
χ484-44-44-4-44000004-4000000000000−2i2i−2i2i00−2i2i−2i2i0000000000000000000000
χ494-44-44-4-4400000-440000000000002i−2i2i−2i00−2i2i−2i2i0000000000000000000000
χ504-44-44-4-4400000-44000000000000−2i2i−2i2i002i−2i2i−2i0000000000000000000000
χ514-44-4-444-40000000004i−4i000000002i−2i−2i2i002-2-220000000000000000000000
χ524-44-4-444-40000000004i−4i00000000−2i2i2i−2i00-222-20000000000000000000000
χ534-44-4-444-4000000000−4i4i000000002i−2i−2i2i00-222-20000000000000000000000
χ544-44-4-444-4000000000−4i4i00000000−2i2i2i−2i002-2-220000000000000000000000
χ554-4-4444-4-400000004i−4i0000000000000000000000000000002-22i−2i00000000
χ564-4-4444-4-400000004i−4i000000000000000000000000000000-22−2i2i00000000
χ574-4-4444-4-40000000−4i4i0000000000000000000000000000002-2−2i2i00000000
χ584-4-4444-4-40000000−4i4i000000000000000000000000000000-222i−2i00000000
χ598-8-88-8-888000000000000000000000000000000000000000000000000000

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