Finite Group Databasebeta

← Group #286631

Character table — Group #286631

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444888824444448888888888444444888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111-1-1-1-11111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-111-1-111
χ711111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-11111-11111-1-1-111-1-11111-1-1
χ811111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111
χ91111111111111111-1-1111111-1-11111-111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-11-1
χ101111111111111111-1-1111111-1-11111-111-1-1-1-11111-1-1-111-111-1-1-1-111-1-1-11
χ111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-111111-1
χ121111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-111-11
χ131111111111111111-1-111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1111111-11
χ141111111111111111-1-111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1-1111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111111-1-1-1-1-1-1-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-11111-1-11-1
χ17222222222-2-2-2222-222-2-200002-222-2-2-2000000000020000-2000000000000
χ18222222222-2-2-2222-222-2-200002-2-2-222-20000000000-200002000000000000
χ19222222222-2-2-2222-2-2-2-2-20000-2222-2-220000000000-200002000000000000
χ20222222222-2-2-2222-2-2-2-2-20000-22-2-2222000000000020000-2000000000000
χ2122222222-2222-2-2-2222-2-22222-2-200002-2-2-2-2220000000000000000000000
χ2222222222-2222-2-2-2222-2-2-2-2-2-2-2-2000022222-2-20000000000000000000000
χ2322222222-2222-2-2-22-2-2-2-22222220000-2-2-222-2-20000000000000000000000
χ2422222222-2222-2-2-22-2-2-2-2-2-2-2-2220000-222-2-2220000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222220000-220000-20000002i2i−2i−2i000000000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-222220000-220000-2000000−2i−2i2i2i00000000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-22200002-2000020000002i2i−2i−2i00000000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-22200002-200002000000−2i−2i2i2i000000000000002i−2i00
χ2922-22-2-2-2222-2-22-2-22002-2000000000000000002-22-20002i−2i00000002i−2i0000
χ3022-22-2-2-2222-2-22-2-22002-2000000000000000002-22-2000−2i2i0000000−2i2i0000
χ3122-22-2-2-2222-2-22-2-22002-200000000000000000-22-220002i−2i0000000−2i2i0000
χ3222-22-2-2-2222-2-22-2-22002-200000000000000000-22-22000−2i2i00000002i−2i0000
χ3322-22-2-2-22-2-222-222-2002-2000000000000000002i−2i−2i2i02i−2i000002-200000000
χ3422-22-2-2-22-2-222-222-2002-2000000000000000002i−2i−2i2i0−2i2i00000-2200000000
χ3522-22-2-2-22-2-222-222-2002-200000000000000000−2i2i2i−2i02i−2i00000-2200000000
χ3622-22-2-2-22-2-222-222-2002-200000000000000000−2i2i2i−2i0−2i2i000002-200000000
χ37444-4-4-44-4044-4000-4000000000000000000000000000000022−220000000000
χ38444-4-4-44-4044-4000-40000000000000000000000000000000−22220000000000
χ39444-4-4-44-40-4-440004000000000000000000000000000000000002i2−2i2000000
χ40444-4-4-44-40-4-44000400000000000000000000000000000000000−2i22i2000000
χ4144-44-4-4-444-4444-4-4-400-44000000000000000000000000000000000000000
χ4244-44-4-4-44-44-4-4-444400-44000000000000000000000000000000000000000
χ4344-4-444-4-404-44000-4000044-4-400000000000000000000000000000000000
χ4444-4-444-4-404-44000-40000-4-44400000000000000000000000000000000000
χ4544-4-444-4-40-44-40004000000000000000004i−4i000000000000000000000000
χ4644-4-444-4-40-44-4000400000000000000000−4i4i000000000000000000000000
χ474-4444-4-4-44000-44-4000000000004-40000000000000000000000000000000
χ484-4444-4-4-44000-44-400000000000-440000000000000000000000000000000
χ494-4444-4-4-4-40004-4400000000000004i−4i00000000000000000000000000000
χ504-4444-4-4-4-40004-440000000000000−4i4i00000000000000000000000000000
χ514-44-4-44-44000000004i−4i002i2−2i22i2−2i20000000000022−220000000000000000000000
χ524-44-4-44-44000000004i−4i00−2i22i2−2i22i200000000000−22220000000000000000000000
χ534-44-4-44-4400000000−4i4i002i2−2i22i2−2i200000000000−22220000000000000000000000
χ544-44-4-44-4400000000−4i4i00−2i22i2−2i22i20000000000022−220000000000000000000000
χ554-4-44-444-44000-4-44000002i2−2i2−2i22i200000002i2−2i200000000000000000000000000
χ564-4-44-444-44000-4-4400000−2i22i22i2−2i20000000−2i22i200000000000000000000000000
χ574-4-44-444-4-400044-4000002i2−2i2−2i22i20000000−2i22i200000000000000000000000000
χ584-4-44-444-4-400044-400000−2i22i22i2−2i200000002i2−2i200000000000000000000000000
χ598-8-8-88-888000000000000000000000000000000000000000000000000000

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