Finite Group Databasebeta

← Group #296361

Character table — Group #296361

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444422444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-111-1-1-111-1-11111-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111
χ71111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111
χ81111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111-1-1111-1-1111111-1-1-1-1
χ9111111111111-1-1-1-111111111-1-111-1-1-1-111-1-111-111-111-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111
χ11111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ12111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-11-1-11-1-1111111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11-1-111111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-111-1-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222222-2-2-2-2-2-2-2-222-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ19222222222222-2-2-2-22222-2-2-2-222-2-2-2-222000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000
χ2122222222-2-2-2-2000022-2-222-2-2002-20000002-200200-200000000000000
χ2222222222-2-2-2-2000022-2-222-2-2002-2000000-2200-200200000000000000
χ2322222222-2-2-2-2000022-2-2-2-22200-2200002-2002-2000000000000000000
χ2422222222-2-2-2-2000022-2-2-2-22200-220000-2200-22000000000000000000
χ2522222222-2-2-2-20000-2-22222-2-200-220000002-200-200200000000000000
χ2622222222-2-2-2-20000-2-22222-2-200-22000000-2200200-200000000000000
χ2722222222-2-2-2-20000-2-222-2-222002-200002-200-22000000000000000000
χ2822222222-2-2-2-20000-2-222-2-222002-20000-22002-2000000000000000000
χ292222-2-2-2-22-2-222i2i−2i−2i00002-22-20000002i−2i000000000000000000002i−2i2-2
χ302222-2-2-2-22-2-222i2i−2i−2i00002-22-20000002i−2i00000000000000000000−2i2i-22
χ312222-2-2-2-22-2-222i2i−2i−2i0000-22-22000000−2i2i00000000000000002i−2i2-20000
χ322222-2-2-2-22-2-222i2i−2i−2i0000-22-22000000−2i2i0000000000000000−2i2i-220000
χ332222-2-2-2-22-2-22−2i−2i2i2i00002-22-2000000−2i2i000000000000000000002i−2i-22
χ342222-2-2-2-22-2-22−2i−2i2i2i00002-22-2000000−2i2i00000000000000000000−2i2i2-2
χ352222-2-2-2-22-2-22−2i−2i2i2i0000-22-220000002i−2i00000000000000002i−2i-220000
χ362222-2-2-2-22-2-22−2i−2i2i2i0000-22-220000002i−2i0000000000000000−2i2i2-20000
χ374444-4-4-4-4-444-4000000004-4-4400000000000000000000000000000000
χ384444-4-4-4-4-444-400000000-444-400000000000000000000000000000000
χ3944-4-444-4-444-4-44-44-40000000000000000000000000000000000000000
χ4044-4-444-4-444-4-4-44-440000000000000000000000000000000000000000
χ4144-4-444-4-4-4-44400000000000000004i−4i00000000000000000000000000
χ4244-4-444-4-4-4-4440000000000000000−4i4i00000000000000000000000000
χ4344-4-4-4-4444-44-44i−4i−4i4i0000000000000000000000000000000000000000
χ4444-4-4-4-4444-44-4−4i4i4i−4i0000000000000000000000000000000000000000
χ4544-4-4-4-444-44-440000000000004-4000000000000000000000000000000
χ4644-4-4-4-444-44-44000000000000-44000000000000000000000000000000
χ474-44-44-44-400000000004i−4i00000000000000000002-202i−2i000000000000
χ484-44-44-44-400000000004i−4i0000000000000000000-220−2i2i000000000000
χ494-44-44-44-40000000000−4i4i00000000000000000002-20−2i2i000000000000
χ504-44-44-44-40000000000−4i4i0000000000000000000-2202i−2i000000000000
χ514-4-44-444-4000000004i−4i000000000000000000000000002i−2i2-200000000
χ524-4-44-444-4000000004i−4i00000000000000000000000000−2i2i-2200000000
χ534-4-44-444-400000000−4i4i000000000000000000000000002i−2i-2200000000
χ544-4-44-444-400000000−4i4i00000000000000000000000000−2i2i2-200000000
χ558-88-8-88-88000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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