Finite Group Databasebeta

← Group #277252

Character table — Group #277252

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444444444444488888888444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111
χ91111111111111111-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-11
χ121111111111111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11-1
χ131111111111111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-1111-1
χ141111111111111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1-11
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-11
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111111-1
χ172222222222-2-2-222-222-2-222-2-2-20000000022-2-222-2-2000000000000000000
χ182222222222-2-2-222-222-2-222-2-2-200000000-2-222-2-222000000000000000000
χ192222222222-2-2-222-2-2-222-2-2-2-220000000022-2-2-2-222000000000000000000
χ202222222222-2-2-222-2-2-222-2-2-2-2200000000-2-22222-2-2000000000000000000
χ2122222222-2-2222-2-222222-2-2-2-2-222-2-222-2-200000000000000000000000000
χ2222222222-2-2222-2-222222-2-2-2-2-2-2-222-2-22200000000000000000000000000
χ2322222222-2-2222-2-22-2-2-2-222-2-2222-2-2-2-22200000000000000000000000000
χ2422222222-2-2222-2-22-2-2-2-222-2-22-2-22222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-22220000000000000000000000002i−2i2i−2i000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-2222000000000000000000000000−2i2i−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-20000000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000000000−2i2i2i−2i000000
χ2922-2-2-2-22222-22-2-2-220000002-2000002-22-2000000002i−2i002i−2i000000000000
χ3022-2-2-2-22222-22-2-2-220000002-2000002-22-200000000−2i2i00−2i2i000000000000
χ3122-2-2-2-22222-22-2-2-220000002-200000-22-22000000002i−2i00−2i2i000000000000
χ3222-2-2-2-22222-22-2-2-220000002-200000-22-2200000000−2i2i002i−2i000000000000
χ3322-2-2-2-222-2-2-22-2222000000-22000002-2-2200000000002-2000000002-20000
χ3422-2-2-2-222-2-2-22-2222000000-22000002-2-220000000000-2200000000-220000
χ3522-2-2-2-222-2-2-22-2222000000-2200000-222-200000000002-200000000-220000
χ3622-2-2-2-222-2-2-22-2222000000-2200000-222-20000000000-22000000002-20000
χ37444-4-44-4-44-40004-4000000000000000000000000000000000000000022−2200
χ38444-4-44-4-44-40004-40000000000000000000000000000000000000000−222200
χ39444-4-44-4-4-44000-440000000000000000000000000000000022−220000000000
χ40444-4-44-4-4-44000-4400000000000000000000000000000000−22220000000000
χ4144-444-4-4-44-4000-44000000000000000000004-40000000000000000000000
χ4244-444-4-4-44-4000-4400000000000000000000-440000000000000000000000
χ4344-444-4-4-4-440004-40000000000000000000000004-4000000000000000000
χ4444-444-4-4-4-440004-4000000000000000000000000-44000000000000000000
χ4544-4-4-4-444444-44-4-4-4000000-4400000000000000000000000000000000000
χ4644-4-4-4-444-4-44-4444-40000004-400000000000000000000000000000000000
χ474-444-4-44-40044-400-40000000004-400000000000000000000000000000000
χ484-444-4-44-40044-400-4000000000-4400000000000000000000000000000000
χ494-444-4-44-400-4-44004000000000004i−4i000000000000000000000000000000
χ504-444-4-44-400-4-4400400000000000−4i4i000000000000000000000000000000
χ514-44-44-4-440000000000004i−4i0000000000022−22002i2−2i200000000000000000000
χ524-44-44-4-440000000000004i−4i00000000000−222200−2i22i200000000000000000000
χ534-44-44-4-44000000000000−4i4i0000000000022−2200−2i22i200000000000000000000
χ544-44-44-4-44000000000000−4i4i00000000000−2222002i2−2i200000000000000000000
χ554-4-4-4444-4004-4-40044i−4i4i−4i000000000000000000000000000000000000000
χ564-4-4-4444-4004-4-4004−4i4i−4i4i000000000000000000000000000000000000000
χ574-4-4-4444-400-44400-44i−4i−4i4i000000000000000000000000000000000000000
χ584-4-4-4444-400-44400-4−4i4i4i−4i000000000000000000000000000000000000000
χ598-8-88-88-88000000000000000000000000000000000000000000000000000

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