Finite Group Databasebeta

← Group #310996

Character table — Group #310996

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222448888888888888888888888881616161616161616161616161616161632
order12222222444444444444444444444488888888888822444444888888884
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-111111-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1111
χ4111111111111111111111111-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1-11111-1-1-1
χ511111111111111111111-1-111111111-1-11111-1-1-1-1-1-111-111-1-11-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-111111
χ711111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-1-111-1-1-1
χ811111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1111
χ9111111111111111111-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-11
χ10111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111111-1-111-1-1-111-1-111-1
χ11111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111111-1-1-1-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-111-1-11111-1
χ13111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111-1-1-1-111-1
χ14111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-1111111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-11
χ172222222222-2-22-2-22-2-22222-2-2000000-2-2000022000000-200000000000000
χ182222222222-2-22-2-22-2-222-2-2-2-2000000220000-2-2000000200000000000000
χ192222222222-2-22-2-22-2-2-2-22222000000220000-2-2000000-200000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-222000000-2-2000022000000200000000000000
χ2122222222-2-222-222-2-2-20000002222-2-20022-2-20000000000000-2000000000
χ2222222222-2-222-222-2-2-200000022-2-2-2-200-2-22200000000000002000000000
χ2322222222-2-222-222-2-2-2000000-2-2222200-2-2220000000000000-2000000000
χ2422222222-2-222-222-2-2-2000000-2-2-2-2220022-2-200000000000002000000000
χ252-2-222-22-22-2222-2-2-2-222i−2i002i−2i2i−2i002i−2i0000000000000002-2000000000000
χ262-2-222-22-22-2222-2-2-2-222i−2i002i−2i−2i2i00−2i2i000000000000000-22000000000000
χ272-2-222-22-22-2222-2-2-2-22−2i2i00−2i2i2i−2i002i−2i000000000000000-22000000000000
χ282-2-222-22-22-2222-2-2-2-22−2i2i00−2i2i−2i2i00−2i2i0000000000000002-2000000000000
χ292-2-222-22-22-2-2-2222-22-22i−2i00−2i2i000000000000000000000002i−2i02-20000000
χ302-2-222-22-22-2-2-2222-22-22i−2i00−2i2i00000000000000000000000−2i2i0-220000000
χ312-2-222-22-22-2-2-2222-22-2−2i2i002i−2i000000000000000000000002i−2i0-220000000
χ322-2-222-22-22-2-2-2222-22-2−2i2i002i−2i00000000000000000000000−2i2i02-20000000
χ332-2-222-22-2-2222-2-2-222-20000002i−2i00−2i2i0000000000002-2000000002i−2i00000
χ342-2-222-22-2-2222-2-2-222-20000002i−2i00−2i2i000000000000-2200000000−2i2i00000
χ352-2-222-22-2-2222-2-2-222-2000000−2i2i002i−2i0000000000002-200000000−2i2i00000
χ362-2-222-22-2-2222-2-2-222-2000000−2i2i002i−2i000000000000-22000000002i−2i00000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-44-400-400400004-40000000000000000000000000000000000000
χ394444-4-4-4-44-400-40040000-440000000000000000000000000000000000000
χ404444-4-4-4-4-4400400-40000000000000000000000000000000000000022−22000
χ414444-4-4-4-4-4400400-400000000000000000000000000000000000000−2222000
χ4244-4-44-4-44004-404-4000000000000000000000000000000000000000002i2−2i20
χ4344-4-44-4-44004-404-400000000000000000000000000000000000000000−2i22i20
χ4444-4-44-4-4400-440-44000000000004i−4i0000000000000000000000000000000
χ4544-4-44-4-4400-440-4400000000000−4i4i0000000000000000000000000000000
χ4644-4-4-444-400000000000000000000002i2−2i222−2200002i2i−2i−2i00000000000000000
χ4744-4-4-444-400000000000000000000002i2−2i2−22220000−2i−2i2i2i00000000000000000
χ4844-4-4-444-40000000000000000000000−2i22i222−220000−2i−2i2i2i00000000000000000
χ4944-4-4-444-40000000000000000000000−2i22i2−222200002i2i−2i−2i00000000000000000
χ504-44-444-4-4004-40-44000000000000000000000002i2−2i22i2−2i200000000000000000
χ514-44-444-4-4004-40-4400000000000000000000000−2i22i2−2i22i200000000000000000
χ524-44-444-4-400-4404-400000000000000000004i−4i00000000000000000000000
χ534-44-444-4-400-4404-40000000000000000000−4i4i00000000000000000000000
χ544-4-444-44-4-44-4-4-4444-4400000000000000000000000000000000000000000
χ554-4-44-44-444400-400-4000000000000000000004i−4i000000000000000000000
χ564-4-44-44-444400-400-400000000000000000000−4i4i000000000000000000000
χ574-4-44-44-44-4-4004004000000000000000000000022−22−222200000000000000000
χ584-4-44-44-44-4-40040040000000000000000000000−222222−2200000000000000000
χ598-88-8-8-888000000000000000000000000000000000000000000000000000

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