Finite Group Databasebeta

← Group #177837

Character table — Group #177837

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111114444444444444488888888888816161616161616161616161616161616161616161616
order12222222444444444444444444444444442222444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-111-11-1111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1111-1-11-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11-1-1-1-1-1-1-111111111
χ91111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-111-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1-1-1-1-11111-1-111-1-111-1-111
χ111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-11-1-1-1-1-1-11111-1-1-1-111
χ121111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-11-1-11111-1-1-1-11111-1-1
χ131111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-11111-1-11-1-1-1-111-1-11111-1-1
χ141111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-11-1-11-1-111111-1-111-1-1-1-111
χ151111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111-1-1-111-1-1-1-111-1-111
χ161111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111-111-1-11111-1-111-1-1
χ17222222222-222-2-222-2-2-2-22-200002222000000000-20-200000000000000
χ18222222222-222-2-222-2-2-2-22-20000-2-2-2-200000000020200000000000000
χ19222222222-2-2-222-2-222-2-22-2000022-2-200000000020-200000000000000
χ20222222222-2-2-222-2-222-2-22-20000-2-222000000000-20200000000000000
χ2122222222-2222-2-2-2-222-2-2-2222-2-200000000-2000200000000000000000
χ2222222222-2222-2-2-2-222-2-2-22-2-222000000002000-200000000000000000
χ2322222222-22-2-22222-2-2-2-2-22222200000000-2000-200000000000000000
χ2422222222-22-2-22222-2-2-2-2-22-2-2-2-2000000002000200000000000000000
χ2522222222-2-22222-2-2-2-222-2-20000000022220-20000-2000000000000000
χ2622222222-2-22222-2-2-2-222-2-200000000-2-2-2-20200002000000000000000
χ2722222222-2-2-2-2-2-2222222-2-20000000022-2-2020000-2000000000000000
χ2822222222-2-2-2-2-2-2222222-2-200000000-2-2220-200002000000000000000
χ29444-4-44-4-4000000004i−4i0000000000000000002-200002i−2i000000000000
χ30444-4-44-4-4000000004i−4i000000000000000000-220000−2i2i000000000000
χ31444-4-44-4-400000000−4i4i0000000000000000002-20000−2i2i000000000000
χ32444-4-44-4-400000000−4i4i000000000000000000-2200002i−2i000000000000
χ3344-44-4-44-400004i−4i000000000000000000000000000000000000002i−2i2-2
χ3444-44-4-44-400004i−4i00000000000000000000000000000000000000−2i2i-22
χ3544-44-4-44-40000−4i4i000000000000000000000000000000000000002i−2i-22
χ3644-44-4-44-40000−4i4i00000000000000000000000000000000000000−2i2i2-2
χ3744-4-44-4-44400000000000-4000004i−4i0000000000000000000000000000
χ3844-4-44-4-44400000000000-400000−4i4i0000000000000000000000000000
χ3944-4-44-4-44-400000000000400000004-400000000000000000000000000
χ4044-4-44-4-44-40000000000040000000-4400000000000000000000000000
χ414-444-4-4-440400000000000-44i−4i00000000000000000000000000000000
χ424-444-4-4-440400000000000-4−4i4i00000000000000000000000000000000
χ434-444-4-4-440-4000000000004004-4000000000000000000000000000000
χ444-444-4-4-440-400000000000400-44000000000000000000000000000000
χ454-44-44-44-4004i−4i0000000000000000000000000000000000002-22i−2i0000
χ464-44-44-44-4004i−4i000000000000000000000000000000000000-22−2i2i0000
χ474-44-44-44-400−4i4i0000000000000000000000000000000000002-2−2i2i0000
χ484-44-44-44-400−4i4i000000000000000000000000000000000000-222i−2i0000
χ494-4-4444-4-400000000004-40000000000004i−4i0000000000000000000000
χ504-4-4444-4-400000000004-4000000000000−4i4i0000000000000000000000
χ514-4-4444-4-40000000000-4400000000004i−4i000000000000000000000000
χ524-4-4444-4-40000000000-440000000000−4i4i000000000000000000000000
χ534-4-4-4-44440000004-400000000000000000000000000002-22-200000000
χ544-4-4-4-44440000004-40000000000000000000000000000-22-2200000000
χ554-4-4-4-4444000000-4400000000000000000000000000002-2-2200000000
χ564-4-4-4-4444000000-440000000000000000000000000000-222-200000000

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