Finite Group Databasebeta

← Group #274944

Character table — Group #274944

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444442244444422444444488888888444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1
χ7111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ8111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ91111111111111111-1-1-1-111-1-111-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-11
χ101111111111111111-1-1-1-111-1-111-111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111111-1
χ111111111111111111-1-1-1-111-1-111-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1111-1
χ121111111111111111-1-1-1-111-1-111-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111-1-11111-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11111-1-1-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-111-1-11-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-11
χ172222222222-2-22-2-222222-2-2-2-222-2-2-222-2-200000000000000000000000000
χ182222222222-2-22-2-222222-2-2-2-2-2-2-222-2-22200000000000000000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-222222-2-2-2-22200000000000000000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-222-2-222222-2-200000000000000000000000000
χ2122222222-2-222-222-222-2-2-2-2-2-200200000022-2-2-2-222000000000000000000
χ2222222222-2-222-222-222-2-2-2-2-2-2002000000-2-22222-2-2000000000000000000
χ2322222222-2-222-222-2-2-222-2-22200-20000002222-2-2-2-2000000000000000000
χ2422222222-2-222-222-2-2-222-2-22200-2000000-2-2-2-22222000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2222200-2000000000000000000002i−2i2i−2i00000000
χ2622222222-2-2-2-2-2-2-2-222-2-2222200-200000000000000000000−2i2i−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-2002000000000000000000002i−2i−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-200200000000000000000000−2i2i2i−2i00000000
χ292-2-222-22-22-22-222-2-200002-2002-202-2000000000000002i−2i000000002i−2i0000
χ302-2-222-22-22-22-222-2-200002-2002-202-200000000000000−2i2i00000000−2i2i0000
χ312-2-222-22-22-22-222-2-200002-200-220-22000000000000002i−2i00000000−2i2i0000
χ322-2-222-22-22-22-222-2-200002-200-220-2200000000000000−2i2i000000002i−2i0000
χ332-2-222-22-22-2-222-22-20000-22002-20-220000000000002i−2i000000002i−2i000000
χ342-2-222-22-22-2-222-22-20000-22002-20-22000000000000−2i2i00000000−2i2i000000
χ352-2-222-22-22-2-222-22-20000-2200-2202-20000000000002i−2i00000000−2i2i000000
χ362-2-222-22-22-2-222-22-20000-2200-2202-2000000000000−2i2i000000002i−2i000000
χ3744-44-44-4-400440-4-4000000000000000000000000000000000000000022−2200
χ3844-44-44-4-400440-4-40000000000000000000000000000000000000000−222200
χ3944-44-44-4-400-4-40440000000000000000000000000000002i2−2i2000000000000
χ4044-44-44-4-400-4-4044000000000000000000000000000000−2i22i2000000000000
χ4144-4-44-4-444400-400-44-44-4000000000000000000000000000000000000000
χ4244-4-44-4-444400-400-4-44-44000000000000000000000000000000000000000
χ4344-4-44-4-44-4-40040044-4-44000000000000000000000000000000000000000
χ4444-4-44-4-44-4-4004004-444-4000000000000000000000000000000000000000
χ454-444-4-4-44004-40-4400000000000000000000004i−4i00000000000000000000
χ464-444-4-4-44004-40-440000000000000000000000−4i4i00000000000000000000
χ474-444-4-4-4400-4404-40000000000000000000000004i−4i000000000000000000
χ484-444-4-4-4400-4404-4000000000000000000000000−4i4i000000000000000000
χ494-44-444-4-44-400-40040000000000000004i−4i00000000000000000000000000
χ504-44-444-4-44-400-4004000000000000000−4i4i00000000000000000000000000
χ514-44-444-4-4-4400400-400000000000004-40000000000000000000000000000
χ524-44-444-4-4-4400400-40000000000000-440000000000000000000000000000
χ534-4-444-44-4-444-4-44-440000-440000000000000000000000000000000000000
χ544-4-444-44-4-44-44-4-44400004-40000000000000000000000000000000000000
χ554-4-4-4-4444000000000000004-400000000022−2222−220000000000000000000000
χ564-4-4-4-4444000000000000004-4000000000−2222−22220000000000000000000000
χ574-4-4-4-444400000000000000-4400000000022−22−22220000000000000000000000
χ584-4-4-4-444400000000000000-44000000000−222222−220000000000000000000000
χ59888-8-8-88-8000000000000000000000000000000000000000000000000000

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