Finite Group Databasebeta

← Group #259946

Character table — Group #259946

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444444444444422444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111-1-111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-11-1-11-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-111-1-1-111111111-1-1-1-1
χ91111111111111-1-1-1-1-1-1111111111-1-1-1-1-11111-1-11-1-11-1-11-111-1-111-1-111-1-1
χ101111111111111-1-1-1-1-1-1111111111-1-1-1-1-111-1-111-11-1-11-1-11-1-11111-1-1-1-111
χ111111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1-1-111-1111-111-1-1-1-111-1-111
χ121111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1111-111-11-11-1-111-1-11111-1-1
χ131111111111111-1-1-1-1-1-1111-1-1-1-111-111111111-1-11-1-11-1-11-1-1-111-1-111-1-111
χ141111111111111-1-1-1-1-1-1111-1-1-1-111-1111111-1-111-11-1-11-1-1111-1-1-1-11111-1-1
χ151111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-111-1-1-111-1111-1-1-11111-1-111-1-1
χ161111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1111-111-11-1111-1-111-1-1-1-111
χ17222222222222-22222-2-2-2-2-2000000-200000022-2-2000000-22000000000000
χ18222222222222-22222-2-2-2-2-2000000-2000000-2-2220000002-2000000000000
χ19222222222222-2-2-2-2-222-2-2-200000020000002222000000-2-2000000000000
χ20222222222222-2-2-2-2-222-2-2-20000002000000-2-2-2-200000022000000000000
χ2122222222-2-2-2-2222-2-222-2-22000000-20000000000220-2-2000000000000000
χ2222222222-2-2-2-2222-2-222-2-22000000-20000000000-2-2022000000000000000
χ2322222222-2-2-2-22-2-222-2-2-2-22000000200000000002-20-22000000000000000
χ2422222222-2-2-2-22-2-222-2-2-2-2200000020000000000-2202-2000000000000000
χ2522222222-2-2-2-2-222-2-2-2-222-200002220000-2-2000000-200200000000000000
χ2622222222-2-2-2-2-222-2-2-2-222-20000-2-22000022000000200-200000000000000
χ2722222222-2-2-2-2-2-2-2222222-2000022-20000-2-2000000200-200000000000000
χ2822222222-2-2-2-2-2-2-2222222-20000-2-2-2000022000000-200200000000000000
χ29222-2-22-2-222-2-2-20000002-2200002i−2i022-2-22i−2i0000000000000000002i−2i0000
χ30222-2-22-2-222-2-2-20000002-2200002i−2i0-2-2222i−2i000000000000000000−2i2i0000
χ31222-2-22-2-222-2-2-20000002-220000−2i2i022-2-2−2i2i000000000000000000−2i2i0000
χ32222-2-22-2-222-2-2-20000002-220000−2i2i0-2-222−2i2i0000000000000000002i−2i0000
χ33222-2-22-2-2-2-22220000002-2-22i2i−2i−2i2i−2i00000−2i2i00000000000000002-2000000
χ34222-2-22-2-2-2-22220000002-2-22i2i−2i−2i−2i2i000002i−2i0000000000000000-22000000
χ35222-2-22-2-2-2-22220000002-2-2−2i−2i2i2i2i−2i00000−2i2i0000000000000000-22000000
χ36222-2-22-2-2-2-22220000002-2-2−2i−2i2i2i−2i2i000002i−2i00000000000000002-2000000
χ37444-4-44-4-444-4-44000000-44-40000000000000000000000000000000000000
χ38444-4-44-4-4-4-444-4000000-4440000000000000000000000000000000000000
χ3944-44-4-44-40000000004-40002i−2i2i−2i0002i−2i2i−2i00000000000000000000000000
χ4044-44-4-44-40000000004-4000−2i2i−2i2i000−2i2i−2i2i00000000000000000000000000
χ4144-44-4-44-4000000000-440002i−2i2i−2i000−2i2i−2i2i00000000000000000000000000
χ4244-44-4-44-4000000000-44000−2i2i−2i2i0002i−2i2i−2i00000000000000000000000000
χ4344-4-44-4-4400000004i−4i000002-2-220002i−2i−2i2i00000000000000000000000000
χ4444-4-44-4-4400000004i−4i00000-222-2000−2i2i2i−2i00000000000000000000000000
χ4544-4-44-4-440000000−4i4i000002-2-22000−2i2i2i−2i00000000000000000000000000
χ4644-4-44-4-440000000−4i4i00000-222-20002i−2i−2i2i00000000000000000000000000
χ474-444-4-4-444-44-40000000000000000000000000000000000000000000002i2−2i2
χ484-444-4-4-444-44-4000000000000000000000000000000000000000000000−2i22i2
χ494-444-4-4-44-44-4400000000000000000000000000000000000000000002i2−2i200
χ504-444-4-4-44-44-440000000000000000000000000000000000000000000−2i22i200
χ514-44-44-44-44-4-44000000000000000000000004i−4i0000000000000000000000
χ524-44-44-44-44-4-4400000000000000000000000−4i4i0000000000000000000000
χ534-44-44-44-4-444-400000000000000000000000004i−4i00000000000000000000
χ544-44-44-44-4-444-40000000000000000000000000−4i4i00000000000000000000
χ554-4-4444-4-4000004-4000000000000000000000000000000002i−2i2i−2i00000000
χ564-4-4444-4-4000004-400000000000000000000000000000000−2i2i−2i2i00000000
χ574-4-4444-4-400000-44000000000000000000000000000000002i−2i−2i2i00000000
χ584-4-4444-4-400000-4400000000000000000000000000000000−2i2i2i−2i00000000
χ598-8-8-8-8888000000000000000000000000000000000000000000000000000

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