Finite Group Databasebeta

← Group #286394

Character table — Group #286394

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444428888888888888888444444448888888824
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-11111-111-1-111-1-1-1-1
χ61111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-111-1-111
χ91111111111111111-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1111-1-1-1-111-11
χ101111111111111111-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1111-1-11111-1-11-1
χ111111111111111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-11111-1-1-11
χ121111111111111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-111-1-1-1-1111-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-11111-1-1-1-11-1
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1-1-1-11111-11
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-11-1-1-1-111111-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-11111111-1-1-1-1-11
χ17222222222-2-222-2-2222-2-222-2-2-2000000000000000022-20000-20000000000
χ18222222222-2-222-2-2222-2-222-2-2-20000000000000000-2-22000020000000000
χ19222222222-2-222-2-22-2-2-2-2-2-222200000000000000002-220000-20000000000
χ20222222222-2-222-2-22-2-2-2-2-2-22220000000000000000-22-2000020000000000
χ2122222222-222-2-222-222-2-2-2-2-2-2222-2-222-2-200000000000000000000000000
χ2222222222-222-2-222-222-2-2-2-2-2-22-2-222-2-22200000000000000000000000000
χ2322222222-222-2-222-2-2-2-2-22222-222-2-2-2-22200000000000000000000000000
χ2422222222-222-2-222-2-2-2-2-22222-2-2-22222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-222-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-222-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-22000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-2200000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ2922-222-2-2-22-2-22-222-2002-200000000000002-22-20000000002i−2i000002i−2i0000
χ3022-222-2-2-22-2-22-222-2002-200000000000002-22-2000000000−2i2i00000−2i2i0000
χ3122-222-2-2-22-2-22-222-2002-20000000000000-22-220000000002i−2i00000−2i2i0000
χ3222-222-2-2-22-2-22-222-2002-20000000000000-22-22000000000−2i2i000002i−2i0000
χ3322-222-2-2-2-222-22-2-22002-200000000000002i−2i−2i2i00000002i−2i0002-200000000
χ3422-222-2-2-2-222-22-2-22002-200000000000002i−2i−2i2i0000000−2i2i000-2200000000
χ3522-222-2-2-2-222-22-2-22002-20000000000000−2i2i2i−2i00000002i−2i000-2200000000
χ3622-222-2-2-2-222-22-2-22002-20000000000000−2i2i2i−2i0000000−2i2i0002-200000000
χ37444-4-4-4-4404-4004-400000000000000004i−4i00000000000000000000000000
χ38444-4-4-4-4404-4004-40000000000000000−4i4i00000000000000000000000000
χ39444-4-4-4-440-4400-4400000000004i−4i00000000000000000000000000000000
χ40444-4-4-4-440-4400-440000000000−4i4i00000000000000000000000000000000
χ4144-444-4-4-44444-4-4-4-400-44000000000000000000000000000000000000000
χ4244-444-4-4-4-4-4-4-4444400-44000000000000000000000000000000000000000
χ4344-4-4-444-404-400-440000000000000000000000000000000000002i2−2i2000000
χ4444-4-4-444-404-400-44000000000000000000000000000000000000−2i22i2000000
χ4544-4-4-444-40-44004-400000000000000000000000000000000000000002i2−2i200
χ4644-4-4-444-40-44004-40000000000000000000000000000000000000000−2i22i200
χ474-444-44-4-4000000000000004i−4i0002i2−2i222−220000000000000000000000000000
χ484-444-44-4-4000000000000004i−4i000−2i22i2−22220000000000000000000000000000
χ494-444-44-4-400000000000000−4i4i0002i2−2i2−22220000000000000000000000000000
χ504-444-44-4-400000000000000−4i4i000−2i22i222−220000000000000000000000000000
χ514-44-44-44-4400-4-40044i−4i004i−4i0000000000000000000000000000000000000
χ524-44-44-44-4400-4-4004−4i4i00−4i4i0000000000000000000000000000000000000
χ534-44-44-44-4-4004400-44i−4i00−4i4i0000000000000000000000000000000000000
χ544-44-44-44-4-4004400-4−4i4i004i−4i0000000000000000000000000000000000000
χ554-4-4-444-44400-4400-40000000000000000000002i2−2i22i2−2i2000000000000000000
χ564-4-4-444-44400-4400-4000000000000000000000−2i22i2−2i22i2000000000000000000
χ574-4-4-444-44-4004-400400000000000000000000022−22−2222000000000000000000
χ584-4-4-444-44-4004-4004000000000000000000000−222222−22000000000000000000
χ598-8-88-8-888000000000000000000000000000000000000000000000000000

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