Finite Group Databasebeta

← Group #281998

Character table — Group #281998

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444888824444448888888888224444888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1
χ811111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ9111111111111111111-1-11111-1-111-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-11
χ10111111111111111111-1-11111-1-111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111-1
χ11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-11
χ12111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1-1-111-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-111-11
χ172222222222-2-22-2-22-2-2220000-2222-2-2-20000000000002-200000000000000
χ182222222222-2-22-2-22-2-2220000-22-2-2-222000000000000-2200000000000000
χ192222222222-2-22-2-22-2-2-2-200002-2222-2-2000000000000-2200000000000000
χ202222222222-2-22-2-22-2-2-2-200002-2-2-22220000000000002-200000000000000
χ2122222222-2-222-222-2-2-22222222-200-20022-2-2-2-20000000000000000000000
χ2222222222-2-222-222-2-2-222-2-2-2-22-200-200-2-222220000000000000000000000
χ2322222222-2-222-222-2-2-2-2-22222-2200200-2-222-2-20000000000000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-2-2-2-220020022-2-2220000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222220000-2-2002000000002i2i−2i−2i000000002i−2i00000000
χ2622222222-2-2-2-2-2-2-2-222220000-2-200200000000−2i−2i2i2i00000000−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-222-2-200002200-2000000002i2i−2i−2i00000000−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-222-2-200002200-200000000−2i−2i2i2i000000002i−2i00000000
χ292-2-2-22-2222-2222-2-2-22-200000000000000000002i−2i2i−2i00002-2000000002i−2i00
χ302-2-2-22-2222-2222-2-2-22-200000000000000000002i−2i2i−2i0000-2200000000−2i2i00
χ312-2-2-22-2222-2222-2-2-22-20000000000000000000−2i2i−2i2i00002-200000000−2i2i00
χ322-2-2-22-2222-2222-2-2-22-20000000000000000000−2i2i−2i2i0000-22000000002i−2i00
χ332-2-2-22-222-22-2-2-22222-200000000000000000002-2-222-200000000002-20000
χ342-2-2-22-222-22-2-2-22222-200000000000000000002-2-22-220000000000-220000
χ352-2-2-22-222-22-2-2-22222-20000000000000000000-222-22-20000000000-220000
χ362-2-2-22-222-22-2-2-22222-20000000000000000000-222-2-2200000000002-20000
χ37444-4-4-4-444400-400-400002222−22−220000000000022−220000000000000000000000
χ38444-4-4-4-444400-400-40000−22−22222200000000000−22220000000000000000000000
χ39444-4-4-4-44-4-400400400002222−22−2200000000000−22220000000000000000000000
χ40444-4-4-4-44-4-40040040000−22−2222220000000000022−220000000000000000000000
χ4144-4-4-444-4004-404-4000000000000000000000000000000002i2−2i20000000000
χ4244-4-4-444-4004-404-400000000000000000000000000000000−2i22i20000000000
χ4344-4-4-444-400-440-440000000000000000000000000000000000002i2−2i2000000
χ4444-4-4-444-400-440-44000000000000000000000000000000000000−2i22i2000000
χ454-444-4-44-4004-40-44000004i−4i4i−4i00000000000000000000000000000000000
χ464-444-4-44-4004-40-4400000−4i4i−4i4i00000000000000000000000000000000000
χ474-444-4-44-400-4404-40000000000000000004i−4i000000000000000000000000
χ484-444-4-44-400-4404-4000000000000000000−4i4i000000000000000000000000
χ494-44-444-4-400000000004i−4i2i2−2i2−2i22i2000000022−2200000000000000000000000000
χ504-44-444-4-400000000004i−4i−2i22i22i2−2i20000000−222200000000000000000000000000
χ514-44-444-4-40000000000−4i4i2i2−2i2−2i22i20000000−222200000000000000000000000000
χ524-44-444-4-40000000000−4i4i−2i22i22i2−2i2000000022−2200000000000000000000000000
χ534-4-44-44-444-400-400400000000000004-40000000000000000000000000000
χ544-4-44-44-444-400-40040000000000000-440000000000000000000000000000
χ554-4-44-44-44-4400400-400000000004i−4i0000000000000000000000000000000
χ564-4-44-44-44-4400400-40000000000−4i4i0000000000000000000000000000000
χ574-4-4-44-4444-4-4-4444-4-4400000000000000000000000000000000000000000
χ584-4-4-44-444-4444-4-4-44-4400000000000000000000000000000000000000000
χ5988-888-8-8-8000000000000000000000000000000000000000000000000000

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