Finite Group Databasebeta

← Group #286392

Character table — Group #286392

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444442244444448888888888888888244444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-111-11111-1-111-1-1-1-1
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
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-111-1-111
χ91111111111111111-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1111-1-1-111-1-1-1-1111-1
χ101111111111111111-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-111-1-11111-1-1-11
χ111111111111111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-11111-1-11-1
χ121111111111111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-111111-1-1-1-111-11
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-11111-1-1-1-1-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1111-1-1-1-111111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1111-1-1-1-1-1-1-11111-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-1111111-1-1-1-11-1
χ17222222222-2-2-2222-222-2-2-2-2-2-22000000000000000022-200-2000000000000
χ18222222222-2-2-2222-222-2-2-2-2-2-220000000000000000-2-22002000000000000
χ19222222222-2-2-2222-2-2-2-2-22222-200000000000000002-2-2002000000000000
χ20222222222-2-2-2222-2-2-2-2-22222-20000000000000000-22200-2000000000000
χ2122222222-2222-2-2-2222-2-2-2-222-222-2-222-2-200000000000000000000000000
χ2222222222-2222-2-2-2222-2-2-2-222-2-2-222-2-22200000000000000000000000000
χ2322222222-2222-2-2-22-2-2-2-222-2-2222-2-2-2-22200000000000000000000000000
χ2422222222-2222-2-2-22-2-2-2-222-2-22-2-22222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-2-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ2622222222-2-2-2-2-2-2-2-2222222-2-2-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-2222000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-222200000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ292-22-22-22-222-2-22-2-22002-2000000000000000002-22-20002i−2i00000002i−2i0000
χ302-22-22-22-222-2-22-2-22002-2000000000000000002-22-2000−2i2i0000000−2i2i0000
χ312-22-22-22-222-2-22-2-22002-200000000000000000-22-220002i−2i0000000−2i2i0000
χ322-22-22-22-222-2-22-2-22002-200000000000000000-22-22000−2i2i00000002i−2i0000
χ332-22-22-22-2-2-222-222-2002-2000000000000000002i−2i−2i2i0000002i−2i2-200000000
χ342-22-22-22-2-2-222-222-2002-2000000000000000002i−2i−2i2i000000−2i2i-2200000000
χ352-22-22-22-2-2-222-222-2002-200000000000000000−2i2i2i−2i0000002i−2i-2200000000
χ362-22-22-22-2-2-222-222-2002-200000000000000000−2i2i2i−2i000000−2i2i2-200000000
χ374444-4-4-4-4000000004-4000000022−220022−220000000000000000000000000000
χ384444-4-4-4-4000000004-40000000−222200−22220000000000000000000000000000
χ394444-4-4-4-400000000-44000000022−2200−22220000000000000000000000000000
χ404444-4-4-4-400000000-440000000−22220022−220000000000000000000000000000
χ4144-4-444-4-4044-4000-400000000000000000000000000000000000000022−2200
χ4244-4-444-4-4044-4000-4000000000000000000000000000000000000000−222200
χ4344-4-444-4-40-4-440004000000000000000000000000000000000002i2−2i2000000
χ4444-4-444-4-40-4-44000400000000000000000000000000000000000−2i22i2000000
χ4544-4-4-4-4444000-44-40000000000000000002i2−2i22i2−2i20000000000000000000000
χ4644-4-4-4-4444000-44-4000000000000000000−2i22i2−2i22i20000000000000000000000
χ4744-4-4-4-444-40004-4400000000000000000022−22−22220000000000000000000000
χ4844-4-4-4-444-40004-44000000000000000000−222222−220000000000000000000000
χ494-44-44-44-44-4444-4-4-400-44000000000000000000000000000000000000000
χ504-44-44-44-4-44-4-4-444400-44000000000000000000000000000000000000000
χ514-4-444-4-4404-44000-40000000000000004i−4i00000000000000000000000000
χ524-4-444-4-4404-44000-4000000000000000−4i4i00000000000000000000000000
χ534-4-444-4-440-44-40004000000000004-4000000000000000000000000000000
χ544-4-444-4-440-44-4000400000000000-44000000000000000000000000000000
χ554-4-44-444-44000-4-44000004i−4i4i−4i00000000000000000000000000000000000
χ564-4-44-444-44000-4-4400000−4i4i−4i4i00000000000000000000000000000000000
χ574-4-44-444-4-400044-4000004i−4i−4i4i00000000000000000000000000000000000
χ584-4-44-444-4-400044-400000−4i4i4i−4i00000000000000000000000000000000000
χ598-88-8-88-88000000000000000000000000000000000000000000000000000

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