Finite Group Databasebeta

← Group #275498

Character table — Group #275498

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444442244444444444444488888888444488888888888824
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
χ91111111111111111-1-111-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-11
χ101111111111111111-1-111-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-111111-1
χ111111111111111111-1-111-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111-1
χ121111111111111111-1-111-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-11
χ131111111111111111-1-111-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111-11
χ141111111111111111-1-111-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-11-1
χ151111111111111111-1-111-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-111-1-11-1
χ161111111111111111-1-111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-11
χ17222222222-2-222-2-2222-2-2-2-2-2-222222-2-2-2-200000000000000000000000000
χ18222222222-2-222-2-2222-2-2-2-2-2-22-2-2-2-2222200000000000000000000000000
χ19222222222-2-222-2-22-2-2-2-22222-222-2-2-2-22200000000000000000000000000
χ20222222222-2-222-2-22-2-2-2-22222-2-2-22222-2-200000000000000000000000000
χ2122222222-222-2-222-222-2-222-2-2-2000000002222-2-2-2-2000000000000000000
χ2222222222-222-2-222-222-2-222-2-2-200000000-2-2-2-22222000000000000000000
χ2322222222-222-2-222-2-2-2-2-2-2-22220000000022-2-2-2-222000000000000000000
χ2422222222-222-2-222-2-2-2-2-2-2-222200000000-2-22222-2-2000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-222-20000000000000000000000002i−2i2i−2i000000
χ2622222222-2-2-2-2-2-2-2-22222-2-222-2000000000000000000000000−2i2i−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-220000000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-22000000000000000000000000−2i2i2i−2i000000
χ292-2222-2-2-2-22-22-22-22002-200000002i−2i002i−2i000000002i−2i00000000002-20000
χ302-2222-2-2-2-22-22-22-22002-200000002i−2i002i−2i00000000−2i2i0000000000-220000
χ312-2222-2-2-2-22-22-22-22002-20000000−2i2i00−2i2i000000002i−2i0000000000-220000
χ322-2222-2-2-2-22-22-22-22002-20000000−2i2i00−2i2i00000000−2i2i00000000002-20000
χ332-2222-2-2-2-2-222-2-22200-2200000002i−2i00−2i2i00000000002i−2i2-2000000000000
χ342-2222-2-2-2-2-222-2-22200-2200000002i−2i00−2i2i0000000000−2i2i-22000000000000
χ352-2222-2-2-2-2-222-2-22200-220000000−2i2i002i−2i00000000002i−2i-22000000000000
χ362-2222-2-2-2-2-222-2-22200-220000000−2i2i002i−2i0000000000−2i2i2-2000000000000
χ37444-4-44-4-404400-4-4000000000000000000004-40000000000000000000000
χ38444-4-44-4-404400-4-400000000000000000000-440000000000000000000000
χ39444-4-44-4-40-4-400440000000000000000004i−4i000000000000000000000000
χ40444-4-44-4-40-4-40044000000000000000000−4i4i000000000000000000000000
χ4144-44-4-4-444004-400-40000000004i−4i00000000000000000000000000000000
χ4244-44-4-4-444004-400-4000000000−4i4i00000000000000000000000000000000
χ4344-44-4-4-44-400-4400400000000000004-40000000000000000000000000000
χ4444-44-4-4-44-400-440040000000000000-440000000000000000000000000000
χ454-4444-4-4-444-4-444-4-400-44000000000000000000000000000000000000000
χ464-4444-4-4-44-44-44-44-4004-4000000000000000000000000000000000000000
χ474-44-4-4-44404-400-440000000000000000000000000000000022−220000000000
χ484-44-4-4-44404-400-4400000000000000000000000000000000−22220000000000
χ494-44-4-4-4440-44004-4000000000000000000000000000000000000000022−2200
χ504-44-4-4-4440-44004-40000000000000000000000000000000000000000−222200
χ514-4-44-444-4400-4-400400004i−4i4i−4i00000000000000000000000000000000000
χ524-4-44-444-4400-4-40040000−4i4i−4i4i00000000000000000000000000000000000
χ534-4-44-444-4-4004400-400004i−4i−4i4i00000000000000000000000000000000000
χ544-4-44-444-4-4004400-40000−4i4i4i−4i00000000000000000000000000000000000
χ554-4-4-444-44000000004-4000000000000000000022−2222−22000000000000000000
χ564-4-4-444-44000000004-40000000000000000000−2222−2222000000000000000000
χ574-4-4-444-4400000000-44000000000000000000022−22−2222000000000000000000
χ584-4-4-444-4400000000-440000000000000000000−222222−22000000000000000000
χ5988-8-88-88-8000000000000000000000000000000000000000000000000000

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