Finite Group Databasebeta

← Group #287191

Character table — Group #287191

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444888844444448888888888444444888888888824
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-11111-1-1-1-111-111-111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-11-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-111-1-11-1-1-1-1-1-11111-1-1-111-111-1-11111-1-111-1-1
χ811111111111111111111-1-1-1-111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111
χ91111111111111111-1-1111111-1-111-11111-1-11111-1-1-111-1-1-111-1-1-1-1-1-1111-1
χ101111111111111111-1-1111111-1-111-11111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-11
χ111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1
χ121111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111111-1-111-1-111-11
χ131111111111111111-1-111-1-1-1-1-1-111-111-1-111-1-1-1-111-111-1-1-1111111-1-1-1-1-11
χ141111111111111111-1-111-1-1-1-1-1-111-111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-11-1
χ17222222222-222-2-22-222-2-222222-200-200-2-2220000-2-2000000000000000000
χ18222222222-222-2-22-222-2-2-2-2-2-22-200-20022-2-2000022000000000000000000
χ19222222222-222-2-22-2-2-2-2-22222-2200200-2-2-2-2000022000000000000000000
χ20222222222-222-2-22-2-2-2-2-2-2-2-2-2-220020022220000-2-2000000000000000000
χ2122222222-22-2-222-2222-2-20000-2222-2-2-20000000000-200200000000000000
χ2222222222-22-2-222-2222-2-20000-22-2-2-2220000000000200-200000000000000
χ2322222222-22-2-222-22-2-2-2-200002-2222-2-20000000000200-200000000000000
χ2422222222-22-2-222-22-2-2-2-200002-2-2-22220000000000-200200000000000000
χ2522222222-2-2-2-2-2-2-2-222220000-2-20020000002i2i−2i−2i0000000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-222220000-2-2002000000−2i−2i2i2i000000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-22200002200-20000002i2i−2i−2i000000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-22200002200-2000000−2i−2i2i2i0000000000002i−2i000000
χ2922-2-222-2-22-22-22-2-22002-20000000000000002-22-20000002i−2i002i−2i00000000
χ3022-2-222-2-22-22-22-2-22002-20000000000000002-22-2000000−2i2i00−2i2i00000000
χ3122-2-222-2-22-22-22-2-22002-2000000000000000-22-220000002i−2i00−2i2i00000000
χ3222-2-222-2-22-22-22-2-22002-2000000000000000-22-22000000−2i2i002i−2i00000000
χ3322-2-222-2-2-22-22-222-2002-20000000000000002i−2i−2i2i0002-2000000000002i−2i00
χ3422-2-222-2-2-22-22-222-2002-20000000000000002i−2i−2i2i000-2200000000000−2i2i00
χ3522-2-222-2-2-22-22-222-2002-2000000000000000−2i2i2i−2i0002-200000000000−2i2i00
χ3622-2-222-2-2-22-22-222-2002-2000000000000000−2i2i2i−2i000-22000000000002i−2i00
χ374444-4-4-4-440-4-40040000000000000000000000000000000000000022−220000
χ384444-4-4-4-440-4-400400000000000000000000000000000000000000−22220000
χ394444-4-4-4-4-404400-40000000000000000000000000000000022−220000000000
χ404444-4-4-4-4-404400-400000000000000000000000000000000−22220000000000
χ4144-4-444-4-4444-4-44-4-400-44000000000000000000000000000000000000000
χ4244-4-444-4-4-4-4-444-44400-44000000000000000000000000000000000000000
χ4344-4-4-4-44440-4400-4000004i4i−4i−4i00000000000000000000000000000000000
χ4444-4-4-4-44440-4400-400000−4i−4i4i4i00000000000000000000000000000000000
χ4544-4-4-4-444-404-40040000000000000000000000004-4000000000000000000
χ4644-4-4-4-444-404-4004000000000000000000000000-44000000000000000000
χ474-44-44-44-4000000004i−4i0022−2222−220000000002i2−2i2000000000000000000000000
χ484-44-44-44-4000000004i−4i00−2222−2222000000000−2i22i2000000000000000000000000
χ494-44-44-44-400000000−4i4i0022−2222−22000000000−2i22i2000000000000000000000000
χ504-44-44-44-400000000−4i4i00−2222−22220000000002i2−2i2000000000000000000000000
χ514-44-4-44-4404004-40-400000000004i−4i0000000000000000000000000000000
χ524-44-4-44-4404004-40-40000000000−4i4i0000000000000000000000000000000
χ534-44-4-44-440-400-440400000000000004-40000000000000000000000000000
χ544-44-4-44-440-400-44040000000000000-440000000000000000000000000000
χ554-4-44-444-40400-4-40400002i2−2i2−2i22i200000002i2−2i200000000000000000000000000
χ564-4-44-444-40400-4-4040000−2i22i22i2−2i20000000−2i22i200000000000000000000000000
χ574-4-44-444-40-400440-400002i2−2i2−2i22i20000000−2i22i200000000000000000000000000
χ584-4-44-444-40-400440-40000−2i22i22i2−2i200000002i2−2i200000000000000000000000000
χ598-8-888-8-88000000000000000000000000000000000000000000000000000

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