Finite Group Databasebeta

← Group #286646

Character table — Group #286646

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444888824444448888888888444444888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1
χ811111111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ9111111111111111111-1-11111-111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11-1
χ10111111111111111111-1-11111-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-11
χ11111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1
χ12111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-11
χ13111111111111111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-11
χ14111111111111111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1111-1
χ172222222222-2-22-2-22-2-2220000-2222-2-2-200000000002-20000000000000000
χ182222222222-2-22-2-22-2-2220000-2-2-22-2220000000000-220000000000000000
χ192222222222-2-22-2-22-2-2-2-20000222-22-2-20000000000-220000000000000000
χ202222222222-2-22-2-22-2-2-2-200002-2-2-222200000000002-20000000000000000
χ2122222222-2-222-222-2-2-2222222200-2-200-2-222-2-20000000000000000000000
χ2222222222-2-222-222-2-2-222-2-2-2-2200-2-20022-2-2220000000000000000000000
χ2322222222-2-222-222-2-2-2-2-22222-2002200-2-2-2-2220000000000000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-2-2-2-20022002222-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222220000-200-22000000002i2i−2i−2i000000002i−2i00000000
χ2622222222-2-2-2-2-2-2-2-222220000-200-2200000000−2i−2i2i2i00000000−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-222-2-200002002-2000000002i2i−2i−2i00000000−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-222-2-200002002-200000000−2i−2i2i2i000000002i−2i00000000
χ292-222-2-22-22-222-2-2-222-200000000000000000002i−2i2i−2i00002i−2i000000002-200
χ302-222-2-22-22-222-2-2-222-200000000000000000002i−2i2i−2i0000−2i2i00000000-2200
χ312-222-2-22-22-222-2-2-222-20000000000000000000−2i2i−2i2i00002i−2i00000000-2200
χ322-222-2-22-22-222-2-2-222-20000000000000000000−2i2i−2i2i0000−2i2i000000002-200
χ332-222-2-22-2-22-2-2222-22-200000000000000000002-2-22002i−2i000000002i−2i0000
χ342-222-2-22-2-22-2-2222-22-200000000000000000002-2-2200−2i2i00000000−2i2i0000
χ352-222-2-22-2-22-2-2222-22-20000000000000000000-222-2002i−2i00000000−2i2i0000
χ362-222-2-22-2-22-2-2222-22-20000000000000000000-222-200−2i2i000000002i−2i0000
χ37444-44-4-4-44-400400-40000000004-400000000000000000000000000000000
χ38444-44-4-4-44-400400-4000000000-4400000000000000000000000000000000
χ39444-44-4-4-4-4400-400400000000000004i−4i0000000000000000000000000000
χ40444-44-4-4-4-4400-40040000000000000−4i4i0000000000000000000000000000
χ4144-4-4-4-444004-404-4000000000000000000004i−4i0000000000000000000000
χ4244-4-4-4-444004-404-400000000000000000000−4i4i0000000000000000000000
χ4344-4-4-4-44400-440-44000004i4i−4i−4i00000000000000000000000000000000000
χ4444-4-4-4-44400-440-4400000−4i−4i4i4i00000000000000000000000000000000000
χ454-444-4-44-44-4-4-4-4444-4400000000000000000000000000000000000000000
χ464-444-4-44-4-44444-4-4-4-4400000000000000000000000000000000000000000
χ474-44-4-44-444400-400-4000022−2222−22000000022−2200000000000000000000000000
χ484-44-4-44-444400-400-40000−2222−22220000000−222200000000000000000000000000
χ494-44-4-44-44-4-4004004000022−2222−220000000−222200000000000000000000000000
χ504-44-4-44-44-4-40040040000−2222−2222000000022−2200000000000000000000000000
χ514-4-444-4-4400000000004i−4i2i2−2i2−2i22i200000000022−22000000000000000000000000
χ524-4-444-4-4400000000004i−4i−2i22i22i2−2i2000000000−2222000000000000000000000000
χ534-4-444-4-440000000000−4i4i2i2−2i2−2i22i2000000000−2222000000000000000000000000
χ544-4-444-4-440000000000−4i4i−2i22i22i2−2i200000000022−22000000000000000000000000
χ554-4-4-4444-4004-40-44000000000000000000000000000000002i2−2i20000000000
χ564-4-4-4444-4004-40-4400000000000000000000000000000000−2i22i20000000000
χ574-4-4-4444-400-4404-40000000000000000000000000000000000002i2−2i2000000
χ584-4-4-4444-400-4404-4000000000000000000000000000000000000−2i22i2000000
χ5988-88-88-8-8000000000000000000000000000000000000000000000000000

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