Finite Group Databasebeta

← Group #304157

Character table — Group #304157

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222222244448888888888888888888888816161616161616161616161616163232
order12222222444444444444444444444444444888888882244448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-11-11111-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1111111
χ511111111111111111111111-1-1-1-11111-1-1-1-111111111-11-1-1-11-1-1-1-11111-1-1
χ611111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-111
χ711111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ911111111111111111-1-11-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-11-1
χ1011111111111111111-1-11-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-11
χ1111111111111111111-1-11-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1111-1-1-1-111-11
χ1211111111111111111-1-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-111-11-1-11111-1-11-1
χ1311111111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-11111-1-1-11
χ1411111111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11111-111-1-1-1-1111-1
χ1511111111111111111-1-11-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1111-1
χ1611111111111111111-1-11-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1-11
χ172222222222-2-222-2-2-222-22-2-2000022220000000000000-2000-20000000000
χ182222222222-2-222-2-2-222-22-2-20000-2-2-2-20000000000000200020000000000
χ192222222222-2-222-2-2-2-2-2-2-222000022-2-20000000000000-200020000000000
χ202222222222-2-222-2-2-2-2-2-2-2220000-2-22200000000000002000-20000000000
χ2122222222-2-222-2-222-222-2-22-222220000000000000000-2000-200000000000
χ2222222222-2-222-2-222-222-2-22-2-2-2-2-200000000000000002000200000000000
χ2322222222-2-222-2-222-2-2-2-22-2222-2-20000000000000000-2000200000000000
χ2422222222-2-222-2-222-2-2-2-22-22-2-22200000000000000002000-200000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-220000000022-2-200000000002-2000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2200000000-2-2220000000000-22000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2222-20000000022-2-20000000000-22000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2222-200000000-2-22200000000002-2000000000000
χ292-2-222-22-22-22-22-22-2200-2000000000002-22-200000000000000002i−2i002i−2i00
χ302-2-222-22-22-22-22-22-2200-2000000000002-22-20000000000000000−2i2i00−2i2i00
χ312-2-222-22-22-22-22-22-2200-200000000000-22-2200000000000000002i−2i00−2i2i00
χ322-2-222-22-22-22-22-22-2200-200000000000-22-220000000000000000−2i2i002i−2i00
χ332-2-222-22-2-22-22-22-22200-2000000000002-2-22000000000000002i−2i002i−2i0000
χ342-2-222-22-2-22-22-22-22200-2000000000002-2-2200000000000000−2i2i00−2i2i0000
χ352-2-222-22-2-22-22-22-22200-200000000000-222-2000000000000002i−2i00−2i2i0000
χ362-2-222-22-2-22-22-22-22200-200000000000-222-200000000000000−2i2i002i−2i0000
χ3744-44-44-4-4004400-4-40000000004-400000000000000000000000000000000
χ3844-44-44-4-4004400-4-4000000000-4400000000000000000000000000000000
χ3944-44-44-4-400-4-4004400000004i−4i0000000000000000000000000000000000
χ4044-44-44-4-400-4-400440000000−4i4i0000000000000000000000000000000000
χ4144-4-44-4-444-400-440000000000000000000002i22i2−2i2−2i200000000000000000000
χ4244-4-44-4-444-400-44000000000000000000000−2i2−2i22i22i200000000000000000000
χ4344-4-44-4-44-44004-400000000000000000000000002i22i2−2i2−2i20000000000000000
χ4444-4-44-4-44-44004-40000000000000000000000000−2i2−2i22i22i20000000000000000
χ454-444-4-4-44004-400-4400000000000000000002i2−2i22i2−2i200000000000000000000
χ464-444-4-4-44004-400-440000000000000000000−2i22i2−2i22i200000000000000000000
χ474-444-4-4-4400-44004-4000000000000000000000002i2−2i22i2−2i20000000000000000
χ484-444-4-4-4400-44004-400000000000000000000000−2i22i2−2i22i20000000000000000
χ494-44-444-4-44400-4-40000000000000004-40000000000000000000000000000
χ504-44-444-4-44400-4-4000000000000000-440000000000000000000000000000
χ514-44-444-4-4-4-4004400000000000004i−4i000000000000000000000000000000
χ524-44-444-4-4-4-400440000000000000−4i4i000000000000000000000000000000
χ534-4-444-44-44-4-444-4-44-4004000000000000000000000000000000000000000
χ544-4-444-44-4-444-4-444-4-4004000000000000000000000000000000000000000
χ554-4-4-4-44440000000004-400000000000000002-2-222-2-220000000000000000
χ564-4-4-4-44440000000004-40000000000000000-222-2-222-20000000000000000
χ574-4-4-4-4444000000000-4400000000000000002-2-22-222-20000000000000000
χ584-4-4-4-4444000000000-440000000000000000-222-22-2-220000000000000000
χ59888-8-8-88-8000000000000000000000000000000000000000000000000000

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