Finite Group Databasebeta

← Group #302674

Character table — Group #302674

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444444488888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-111-11111-1-1-1-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-11111-11
χ51111111111111111111111-1-1111-1-1111111111-111-1-1-1-1-111-1-111-1-1-1-1
χ61111111111111111111111-1-1111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11111
χ71111111111111111111111-1-1-1-1-111-11111-1-1-1-1-1-1-111-1-1111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-111-1-1-1-1-11111-1-1-111-1-11-1-11111-1-11-1
χ9111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-11-1-111-1-111-1-1
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111-1-111-1-111
χ11111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1111-1
χ13111111111111111111-1-1-1-1-1-1111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-111-1-1111-1-1-1-111111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-111-1-11111111-1-1-1-1-11
χ172222222222-2-222-2-2-2-222-2-20022-200-2000000000-22000000000000000
χ182222222222-2-222-2-2-2-222-2-200-2-220020000000002-2000000000000000
χ192222222222-2-222-2-2-2-2-2-2220022-200-20000000002-2000000000000000
χ202222222222-2-222-2-2-2-2-2-22200-2-22002000000000-22000000000000000
χ2122222222-2-222-2-222-2-20000222-2-2-2-2200000000-200000020000000000
χ2222222222-2-222-2-222-2-2000022-22222-200000000-2000000-20000000000
χ2322222222-2-222-2-222-2-20000-2-22-2-2222000000002000000-20000000000
χ2422222222-2-222-2-222-2-20000-2-2-222-2-2-200000000200000020000000000
χ2522222222-2-2-2-2-2-2-2-2220000002-2200-2000000000002-22-200000000000
χ2622222222-2-2-2-2-2-2-2-2220000002-2200-200000000000-22-2200000000000
χ2722222222-2-2-2-2-2-2-2-222000000-22-2002000000000002-2-2200000000000
χ2822222222-2-2-2-2-2-2-2-222000000-22-200200000000000-222-200000000000
χ292222-2-2-2-2222-2-2-22-22-22-22-200000000000022-2-20000000000002-20000
χ302222-2-2-2-2222-2-2-22-22-22-22-2000000000000-2-222000000000000-220000
χ312222-2-2-2-2222-2-2-22-22-2-22-2200000000000022-2-2000000000000-220000
χ322222-2-2-2-2222-2-2-22-22-2-22-22000000000000-2-2220000000000002-20000
χ332222-2-2-2-222-22-2-2-22-222-2-220000000022-2-20000000000002-200000000
χ342222-2-2-2-222-22-2-2-22-222-2-2200000000-2-222000000000000-2200000000
χ352222-2-2-2-222-22-2-2-22-22-222-20000000022-2-2000000000000-2200000000
χ362222-2-2-2-222-22-2-2-22-22-222-200000000-2-2220000000000002-200000000
χ374444-4-4-4-4-4-44-4444-4-4400000000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4444-444-400000000000000000000000000000000000000
χ3944-4-444-4-44-4004-40000000000000000000022−2222−22000000000000000000
χ4044-4-444-4-44-4004-400000000000000000000−2222−2222000000000000000000
χ4144-4-444-4-4-4400-44000000000000000022−2222−220000000000000000000000
χ4244-4-444-4-4-4400-440000000000000000−2222−22220000000000000000000000
χ4344-4-4-4-4444-400-440000000000000000000022−22−2222000000000000000000
χ4444-4-4-4-4444-400-4400000000000000000000−222222−22000000000000000000
χ4544-4-4-4-444-44004-4000000000000000022−22−22220000000000000000000000
χ4644-4-4-4-444-44004-40000000000000000−222222−220000000000000000000000
χ474-4-444-4-44004400-4-4000000000004i−4i000000000000000000000000000
χ484-4-444-4-44004400-4-400000000000−4i4i000000000000000000000000000
χ494-4-444-4-4400-4-400440000004-400000000000000000000000000000000
χ504-4-444-4-4400-4-40044000000-4400000000000000000000000000000000
χ514-4-44-444-4004-400-44000000000000000000000000000000002i2−2i2000000
χ524-4-44-444-4004-400-4400000000000000000000000000000000−2i22i2000000
χ534-4-44-444-400-44004-40000000000000000000000000000000000002i2−2i200
χ544-4-44-444-400-44004-4000000000000000000000000000000000000−2i22i200
χ558-88-88-88-8000000000000000000000000000000000000000000000000
χ568-88-8-88-88000000000000000000000000000000000000000000000000

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