Finite Group Databasebeta

← Group #260087

Character table — Group #260087

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888822224444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-111111111-1-1-1-1-11-1-1-11-1-1-1-1-1-11111
χ41111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111111-1-1-1-1
χ51111111111111111111111-1-1111-1-111111111111-111-1-11-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-111111111
χ71111111111111111111111-1-11-1-1-1-1-1-111111111-11-1-11-1-111-1-1-11111-1-1-1-1
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-11111
χ91111111111111-1-1-1-1-1-111111-111-1-1111111-1-1-1-1-1-1111-1-11-11-1-111-1-111-1-1
χ101111111111111-1-1-1-1-1-111111-111-1-111-1-1-1-11111-1-1-1-11-1-11-1111-1-111-1-111
χ111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-11111-1-11111-1-1
χ121111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111111111-1-11-111-1-111-1-1-1-111
χ131111111111111-1-1-1-1-1-1111-1-1-11111111111-1-1-1-1-1111-11-1-11-1-1-1-1-111-1-111
χ141111111111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-11111-11-1-1-11-1-11-11111-1-111-1-1
χ151111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-11-1-1-11111-1-11111-1-1-1-111
χ161111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111111-1111111-1-1-1-1-1-11111-1-1
χ17222222222222-222-2-2-2-2-2-2-222200-2-20000000000000002000-20000000000
χ18222222222222-222-2-2-2-2-2-2-2-2-220022000000000000000-200020000000000
χ19222222222222-2-2-22222-2-2-222-20022000000000000000-2000-20000000000
χ20222222222222-2-2-22222-2-2-2-2-2-200-2-2000000000000000200020000000000
χ2122222222-2-2-2-222222-2-2-2-2200-2000000000000000200-2002-200000000000
χ2222222222-2-2-2-222222-2-2-2-2200-2000000000000000-200200-2200000000000
χ2322222222-2-2-2-22-2-2-2-222-2-22002000000000000000200200-2-200000000000
χ2422222222-2-2-2-22-2-2-2-222-2-22002000000000000000-200-2002200000000000
χ2522222222-2-2-2-2-222-2-22222-200-22200-2-200000000-20000020000000000000
χ2622222222-2-2-2-2-222-2-22222-200-2-2-2002200000000200000-20000000000000
χ2722222222-2-2-2-2-2-2-222-2-222-20022200-2-200000000200000-20000000000000
χ2822222222-2-2-2-2-2-2-222-2-222-2002-2-2002200000000-20000020000000000000
χ2922-222-2-2-222-2-2-20000002-220002i−2i002i−2i2i2i−2i−2i0000002-20000000000000000
χ3022-222-2-2-222-2-2-20000002-220002i−2i002i−2i−2i−2i2i2i000000-220000000000000000
χ3122-222-2-2-222-2-2-20000002-22000−2i2i00−2i2i2i2i−2i−2i000000-220000000000000000
χ3222-222-2-2-222-2-2-20000002-22000−2i2i00−2i2i−2i−2i2i2i0000002-20000000000000000
χ3322-222-2-2-2-2-22220000002-2-20002i−2i00−2i2i000022-2-200000000002i−2i00000000
χ3422-222-2-2-2-2-22220000002-2-20002i−2i00−2i2i0000-2-2220000000000−2i2i00000000
χ3522-222-2-2-2-2-22220000002-2-2000−2i2i002i−2i000022-2-20000000000−2i2i00000000
χ3622-222-2-2-2-2-22220000002-2-2000−2i2i002i−2i0000-2-22200000000002i−2i00000000
χ372-222-22-2-22-22-20002i−2i2i−2i0002-20002i−2i00i2−i2i2−i22−22−20000000000000000i2−i22−2
χ382-222-22-2-22-22-20002i−2i2i−2i0002-20002i−2i00−i2i2−i2i2−22−220000000000000000−i2i2−22
χ392-222-22-2-22-22-20002i−2i2i−2i000-22000−2i2i00i2−i2i2−i22−22−20000000000000000−i2i2−22
χ402-222-22-2-22-22-20002i−2i2i−2i000-22000−2i2i00−i2i2−i2i2−22−220000000000000000i2−i22−2
χ412-222-22-2-22-22-2000−2i2i−2i2i0002-2000−2i2i00i2−i2i2−i2−22−220000000000000000i2−i2−22
χ422-222-22-2-22-22-2000−2i2i−2i2i0002-2000−2i2i00−i2i2−i2i22−22−20000000000000000−i2i22−2
χ432-222-22-2-22-22-2000−2i2i−2i2i000-220002i−2i00i2−i2i2−i2−22−220000000000000000−i2i22−2
χ442-222-22-2-22-22-2000−2i2i−2i2i000-220002i−2i00−i2i2−i2i22−22−20000000000000000i2−i2−22
χ45444-4-4-44-4000004i−4i0000000000000000000000000000000000002-22i−2i0000
χ46444-4-4-44-4000004i−4i000000000000000000000000000000000000-22−2i2i0000
χ47444-4-4-44-400000−4i4i0000000000000000000000000000000000002-2−2i2i0000
χ48444-4-4-44-400000−4i4i000000000000000000000000000000000000-222i−2i0000
χ4944-444-4-4-444-4-44000000-44-40000000000000000000000000000000000000
χ5044-444-4-4-4-4-444-4000000-4440000000000000000000000000000000000000
χ514-444-44-4-4-44-440004i−4i−4i4i0000000000000000000000000000000000000000
χ524-444-44-4-4-44-44000−4i4i4i−4i0000000000000000000000000000000000000000
χ534-4-44-4-4444-4-44000000000000000000022−22−2222000000000000000000000000
χ544-4-44-4-4444-4-440000000000000000000−222222−22000000000000000000000000
χ554-4-44-4-444-444-40000000000000000000000022−22−222200000000000000000000
χ564-4-44-4-444-444-400000000000000000000000−222222−2200000000000000000000
χ5788-8-8-88-88000000000000000000000000000000000000000000000000000
χ588-88-88-8-88000000000000000000000000000000000000000000000000000
χ598-8-8-8888-8000000000000000000000000000000000000000000000000000

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