Finite Group Databasebeta

← Group #287482

Character table — Group #287482

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444448888888888888888244444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-111-111-1-1-1-1-1-1-1-111
χ61111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-111
χ91111111111111111-1-1-1-1-1-111-1111111-1-1-1-1-1-111-1-111-111-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-111-1111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-11
χ111111111111111111-1-1-1-1-1-111-11111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-11
χ121111111111111111-1-1-1-1-1-111-11111-1-111-1-1-1-1-1-111-1-11-1-1111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1111-1
χ141111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-11-1-111111-1-111-1-1-11
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-11111-111-1-1-1-1-11111-1-1-11
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1111-1
χ17222222222-222-2-22-22222-2-2-2-2-200000000000000002-2200-2000000000000
χ18222222222-222-2-22-22222-2-2-2-2-20000000000000000-22-2002000000000000
χ19222222222-222-2-22-2-2-2-2-222-2-2200000000000000002-2-2002000000000000
χ20222222222-222-2-22-2-2-2-2-222-2-220000000000000000-22200-2000000000000
χ2122222222-22-2-222-2222-2-222-2-2-2000022-2-20000-2-222000000000000000000
χ2222222222-22-2-222-2222-2-222-2-2-20000-2-222000022-2-2000000000000000000
χ2322222222-22-2-222-22-2-222-2-2-2-22000022220000-2-2-2-2000000000000000000
χ2422222222-22-2-222-22-2-222-2-2-2-220000-2-2-2-200002222000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-22222i2i−2i−2i00002i2i−2i−2i0000000000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-2222−2i−2i2i2i0000−2i−2i2i2i0000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-22i2i−2i−2i0000−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2−2i−2i2i2i00002i2i−2i−2i0000000000000000000000
χ292-2-222-22-22-22-22-2-220000002-20000000002-22-200000002i−2i000002i−2i000000
χ302-2-222-22-22-22-22-2-220000002-20000000002-22-20000000−2i2i00000−2i2i000000
χ312-2-222-22-22-22-22-2-220000002-2000000000-22-2200000002i−2i00000−2i2i000000
χ322-2-222-22-22-22-22-2-220000002-2000000000-22-220000000−2i2i000002i−2i000000
χ332-2-222-22-2-22-22-222-20000002-20000000002i−2i−2i2i00000000002-22i−2i00000000
χ342-2-222-22-2-22-22-222-20000002-20000000002i−2i−2i2i0000000000-22−2i2i00000000
χ352-2-222-22-2-22-22-222-20000002-2000000000−2i2i2i−2i00000000002-2−2i2i00000000
χ362-2-222-22-2-22-22-222-20000002-2000000000−2i2i2i−2i0000000000-222i−2i00000000
χ374444-4-4-4-440-4-400404-44-4000000000000000000000000000000000000000
χ384444-4-4-4-440-4-40040-44-44000000000000000000000000000000000000000
χ394444-4-4-4-4-404400-404-4-44000000000000000000000000000000000000000
χ404444-4-4-4-4-404400-40-444-4000000000000000000000000000000000000000
χ4144-4-444-4-404004-40-4000000000000000000000000000000000000022−220000
χ4244-4-444-4-404004-40-40000000000000000000000000000000000000−22220000
χ4344-4-444-4-40-400-44040000000000000000000000000000000000000002i2−2i200
χ4444-4-444-4-40-400-4404000000000000000000000000000000000000000−2i22i200
χ454-44-44-4-440400-4-40400000000000004i−4i0000000000000000000000000000
χ464-44-44-4-440400-4-4040000000000000−4i4i0000000000000000000000000000
χ474-44-44-4-440-400440-4000000000000000000000004i−4i000000000000000000
χ484-44-44-4-440-400440-400000000000000000000000−4i4i000000000000000000
χ494-44-4-444-40000000000004-40000000002i2−2i200002i2−2i200000000000000000000
χ504-44-4-444-40000000000004-4000000000−2i22i20000−2i22i200000000000000000000
χ514-44-4-444-4000000000000-440000000002i2−2i20000−2i22i200000000000000000000
χ524-44-4-444-4000000000000-44000000000−2i22i200002i2−2i200000000000000000000
χ534-4-444-44-4444-4-44-4-4000000-4400000000000000000000000000000000000
χ544-4-444-44-4-4-4-444-444000000-4400000000000000000000000000000000000
χ554-4-44-44-4440-4400-400000000002i2−2i22i2−2i2000000000000000000000000000000
χ564-4-44-44-4440-4400-40000000000−2i22i2−2i22i2000000000000000000000000000000
χ574-4-44-44-44-404-4004000000000022−22−2222000000000000000000000000000000
χ584-4-44-44-44-404-40040000000000−222222−22000000000000000000000000000000
χ5988-8-8-8-888000000000000000000000000000000000000000000000000000

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