Finite Group Databasebeta

← Group #328151

Character table — Group #328151

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444424444444488888888444444448888888824
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-11111-1-1
χ61111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ91111111111111111-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-11-1111-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1-11-1-1-111111-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-111111-1111-1-1-1-1-111-1-111-11
χ121111111111111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-11-1-1-1111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-11-11-1-1-111-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-11-1111-1-1-1-111-1-1111-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111-11-1-1-11111-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-11-1111-1-111-1-111-1-1-11
χ172222222222-2-222-2-22222-2-2-2-2-2000000000000000022-200-2000000000000
χ182222222222-2-222-2-22222-2-2-2-2-20000000000000000-2-22002000000000000
χ192222222222-2-222-2-2-2-2-2-222-2-2200000000000000002-2-2002000000000000
χ202222222222-2-222-2-2-2-2-2-222-2-220000000000000000-22200-2000000000000
χ2122222222-2-222-2-22222-2-222-2-2-222-2-222-2-200000000000000000000000000
χ2222222222-2-222-2-22222-2-222-2-2-2-2-222-2-22200000000000000000000000000
χ2322222222-2-222-2-222-2-222-2-2-2-2222-2-2-2-22200000000000000000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-22-2-22222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-222200000000000000000002-202-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-22220000000000000000000-220-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-200000000000000000002-20-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-20000000000000000000-2202-20000000000
χ2922-2-22-22-2002-2002-22i−2i002i−2i000002-2002i−2i22−2−2i2i2−i2−i2000000002−2i2−i2000000
χ3022-2-22-22-2002-2002-22i−2i002i−2i000002-2002i−2i−2−222−i2−i2i2i200000000−22−i2i2000000
χ3122-2-22-22-2002-2002-22i−2i002i−2i00000-2200−2i2i22−2−2i2i2−i2−i200000000−22−i2i2000000
χ3222-2-22-22-2002-2002-22i−2i002i−2i00000-2200−2i2i−2−222−i2−i2i2i2000000002−2i2−i2000000
χ3322-2-22-22-2002-2002-2−2i2i00−2i2i000002-200−2i2i22−2−2−i2−i2i2i2000000002−2−i2i2000000
χ3422-2-22-22-2002-2002-2−2i2i00−2i2i000002-200−2i2i−2−222i2i2−i2−i200000000−22i2−i2000000
χ3522-2-22-22-2002-2002-2−2i2i00−2i2i00000-22002i−2i22−2−2−i2−i2i2i200000000−22i2−i2000000
χ3622-2-22-22-2002-2002-2−2i2i00−2i2i00000-22002i−2i−2−222i2i2−i2−i2000000002−2−i2i2000000
χ374444-4-4-4-44-44-44-4-440000004-400000000000000000000000000000000000
χ384444-4-4-4-44-4-444-44-4000000-4400000000000000000000000000000000000
χ394444-4-4-4-4-444-4-44-44000000-4400000000000000000000000000000000000
χ404444-4-4-4-4-44-44-444-40000004-400000000000000000000000000000000000
χ4144-4-44-44-400-4400-444i−4i00−4i4i0000000000000000000000000000000000000
χ4244-4-44-44-400-4400-44−4i4i004i−4i0000000000000000000000000000000000000
χ4344-4-4-44-44004400-4-400000000000004i−4i0000000000000000000000000000
χ4444-4-4-44-44004400-4-40000000000000−4i4i0000000000000000000000000000
χ4544-4-4-44-4400-4-400440000000004-400000000000000000000000000000000
χ4644-4-4-44-4400-4-40044000000000-4400000000000000000000000000000000
χ474-44-444-4-44400-4-400000000000000000000000000000000000000022−220000
χ484-44-444-4-44400-4-4000000000000000000000000000000000000000−22220000
χ494-44-444-4-4-4-40044000000000000000000000000000000000000000002i2−2i200
χ504-44-444-4-4-4-4004400000000000000000000000000000000000000000−2i22i200
χ514-44-4-4-4444-400-44000000000000000000022−2222−220000000000000000000000
χ524-44-4-4-4444-400-440000000000000000000−2222−22220000000000000000000000
χ534-44-4-4-444-44004-40000000000000000000000022−2222−22000000000000000000
χ544-44-4-4-444-44004-400000000000000000000000−2222−2222000000000000000000
χ554-4-44-444-400000000004i−4i00000000000002-2-222i−2i−2i2i000000000000000000
χ564-4-44-444-400000000004i−4i0000000000000-222-2−2i2i2i−2i000000000000000000
χ574-4-44-444-40000000000−4i4i00000000000002-2-22−2i2i2i−2i000000000000000000
χ584-4-44-444-40000000000−4i4i0000000000000-222-22i−2i−2i2i000000000000000000
χ598-8-888-8-88000000000000000000000000000000000000000000000000000

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