Finite Group Databasebeta

← Group #288295

Character table — Group #288295

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1111111111111111-1-1-1-11-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-1111-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-1111-1
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-11
χ91111111111111111-1-1-1-111111111-1-11111-1-1-1-111111111-111-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-111-111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1111111-1-11-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1-1111-1-1-1-111-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-11-111-1-1-111-1-111-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1111-1-1-1-111-1-11-1
χ172222222222-2-2-222-22222-2-2000000-2-20000000022-2-2000020000-20000000000
χ182222222222-2-2-222-22222-2-2000000-2-200000000-2-2220000-2000020000000000
χ192222222222-2-2-222-2-2-2-2-2-2-2000000220000000022-2-20000-2000020000000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000002200000000-2-222000020000-20000000000
χ2122222222-2-2222-2-220000-2-22222220022-2-20000000000000-2-20000000000000
χ2222222222-2-2222-2-220000-2-22222-2-200-2-2-2-20000000000000220000000000000
χ2322222222-2-2222-2-220000-2-2-2-2-2-22200-2-22200000000000002-20000000000000
χ2422222222-2-2222-2-220000-2-2-2-2-2-2-2-20022220000000000000-220000000000000
χ252-2-22-2-222222-22-2-2-22i2i−2i−2i-220000002i−2i00000000000022-2-2000000002i−2i000000
χ262-2-22-2-222222-22-2-2-22i2i−2i−2i-220000002i−2i000000000000-2-22200000000−2i2i000000
χ272-2-22-2-222222-22-2-2-2−2i−2i2i2i-22000000−2i2i00000000000022-2-200000000−2i2i000000
χ282-2-22-2-222222-22-2-2-2−2i−2i2i2i-22000000−2i2i000000000000-2-222000000002i−2i000000
χ292-2-22-2-22222-22-2-2-222i2i−2i−2i2-222-2-200−2i2i002-22i2i−2i−2i000000000000000000000000
χ302-2-22-2-22222-22-2-2-222i2i−2i−2i2-2-2-22200−2i2i00-22−2i−2i2i2i000000000000000000000000
χ312-2-22-2-22222-22-2-2-22−2i−2i2i2i2-222-2-2002i−2i002-2−2i−2i2i2i000000000000000000000000
χ322-2-22-2-22222-22-2-2-22−2i−2i2i2i2-2-2-222002i−2i00-222i2i−2i−2i000000000000000000000000
χ332-2-22-2-222-2-2-22-22220000-2222-2-2000000-220000000000000002-202-200000000
χ342-2-22-2-222-2-2-22-22220000-2222-2-2000000-22000000000000000-220-2200000000
χ352-2-22-2-222-2-2-22-22220000-22-2-2220000002-20000000000000002-20-2200000000
χ362-2-22-2-222-2-2-22-22220000-22-2-2220000002-2000000000000000-2202-200000000
χ3744444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ384444-4-4-4-44-40004-4000000000000000000022−2222−22000000000000000000000000
χ394444-4-4-4-44-40004-40000000000000000000−2222−2222000000000000000000000000
χ404444-4-4-4-4-44000-4404-44-4000000000000000000000000000000000000000000
χ414444-4-4-4-4-44000-440-44-44000000000000000000000000000000000000000000
χ4244-4-44-4-44004-4-40040000000000000000000000000000000000000000002i2−2i200
χ4344-4-44-4-44004-4-4004000000000000000000000000000000000000000000−2i22i200
χ4444-4-44-4-4400-44400-4000000000000004i−4i000000000000000000000000000000
χ4544-4-44-4-4400-44400-400000000000000−4i4i000000000000000000000000000000
χ4644-4-4-444-4000000000000002i2−2i22i2−2i2000000000000002i2−2i22-22-20000000000000000
χ4744-4-4-444-4000000000000002i2−2i22i2−2i200000000000000−2i22i2-22-220000000000000000
χ4844-4-4-444-400000000000000−2i22i2−2i22i2000000000000002i2−2i2-22-220000000000000000
χ4944-4-4-444-400000000000000−2i22i2−2i22i200000000000000−2i22i22-22-20000000000000000
χ504-44-44-44-4000000000000002i2−2i2−2i22i20000000000002i2−2i2002-2-220000000000000000
χ514-44-44-44-4000000000000002i2−2i2−2i22i2000000000000−2i22i200-222-20000000000000000
χ524-44-44-44-400000000000000−2i22i22i2−2i20000000000002i2−2i200-222-20000000000000000
χ534-44-44-44-400000000000000−2i22i22i2−2i2000000000000−2i22i2002-2-220000000000000000
χ544-44-4-44-440044-400-400000000004i−4i0000000000000000000000000000000000
χ554-44-4-44-440044-400-40000000000−4i4i0000000000000000000000000000000000
χ564-44-4-44-4400-4-44004000000000000000000000000000000000000000022−220000
χ574-44-4-44-4400-4-440040000000000000000000000000000000000000000−22220000
χ584-4-4444-4-44-4000-4400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ594-4-4444-4-44-4000-440000000000000000000−2i22i22i2−2i2000000000000000000000000
χ604-4-4444-4-4-440004-404i−4i−4i4i000000000000000000000000000000000000000000
χ614-4-4444-4-4-440004-40−4i4i4i−4i000000000000000000000000000000000000000000
χ624-4-44-4-444-4-44-4444-400004-40000000000000000000000000000000000000000

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