Finite Group Databasebeta

← Group #246236

Character table — Group #246236

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888822244444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-1111-1-11111111111-11-1-1-1-11-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-11-1-1-1-111111111-1-111-11-11-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-111111-1-1-1-11111
χ91111111111111-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-1
χ101111111111111-1-1-1-1-1-11111111-1-1-111-1-1-1-11111-1-1-1111-1-1-1-111-1-111-1-111
χ111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-111-11-111-1-111-1-11111-1-1
χ121111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-111-11-11111-1-111-1-1-1-111
χ131111111111111-1-1-1-1-1-1111-1-111-111111111-1-1-1-11-11-1-1-1-1111-1-1-1-111-1-111
χ141111111111111-1-1-1-1-1-1111-1-111-11111-1-1-1-111111-11-1-1-1-11-1-11111-1-111-1-1
χ151111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-111-11-111-1-1-11111-1-1-1-111
χ161111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-11-111-111-1-1-1-11111-1-1
χ17222222222222-22222-2-2-2-2-22200-2220000000000-2000-2000000000000000
χ18222222222222-22222-2-2-2-2-2-2-200-2-2-2000000000020002000000000000000
χ19222222222222-2-2-2-2-222-2-2-222002-2-200000000002000-2000000000000000
χ20222222222222-2-2-2-2-222-2-2-2-2-2002220000000000-20002000000000000000
χ2122222222-2-2-2-2222-2-222-2-220022-200-2-200000000020000-20000000000000
χ2222222222-2-2-2-2222-2-222-2-2200-2-2-20022000000000-2000020000000000000
χ2322222222-2-2-2-22-2-222-2-2-2-220022200-2-2000000000-2000020000000000000
χ2422222222-2-2-2-22-2-222-2-2-2-2200-2-22002200000000020000-20000000000000
χ2522222222-2-2-2-2-222-2-2-2-222-20000200000000000000220-20-2000000000000
χ2622222222-2-2-2-2-222-2-2-2-222-20000200000000000000-2-20202000000000000
χ2722222222-2-2-2-2-2-2-2222222-20000-2000000000000002-2020-2000000000000
χ2822222222-2-2-2-2-2-2-2222222-20000-200000000000000-220-202000000000000
χ29222-2-2-22-22-22-202i−2i2i−2i000002-20002i−2i00i2i2−i2−i222−2−20000000000000000i2−i22−2
χ30222-2-2-22-22-22-202i−2i2i−2i000002-20002i−2i00−i2−i2i2i2−2−2220000000000000000−i2i2−22
χ31222-2-2-22-22-22-202i−2i2i−2i00000-22000−2i2i00i2i2−i2−i222−2−20000000000000000−i2i2−22
χ32222-2-2-22-22-22-202i−2i2i−2i00000-22000−2i2i00−i2−i2i2i2−2−2220000000000000000i2−i22−2
χ33222-2-2-22-22-22-20−2i2i−2i2i000002-2000−2i2i00i2i2−i2−i2−2−2220000000000000000i2−i2−22
χ34222-2-2-22-22-22-20−2i2i−2i2i000002-2000−2i2i00−i2−i2i2i222−2−20000000000000000−i2i22−2
χ35222-2-2-22-22-22-20−2i2i−2i2i00000-220002i−2i00i2i2−i2−i2−2−2220000000000000000−i2i22−2
χ36222-2-2-22-22-22-20−2i2i−2i2i00000-220002i−2i00−i2−i2i2i222−2−20000000000000000i2−i2−22
χ372-2-2-22-2222-2-22-20000002-22002-20002-22-22-20000000000002-20000000000
χ382-2-2-22-2222-2-22-20000002-22002-20002-2-22-22000000000000-220000000000
χ392-2-2-22-2222-2-22-20000002-2200-22000-222-22-2000000000000-220000000000
χ402-2-2-22-2222-2-22-20000002-2200-22000-22-22-220000000000002-20000000000
χ412-2-2-22-222-222-2-2000000-222002-2000-2200002-22-200000000002-200000000
χ422-2-2-22-222-222-2-2000000-222002-2000-220000-22-220000000000-2200000000
χ432-2-2-22-222-222-2-2000000-22200-220002-200002-22-20000000000-2200000000
χ442-2-2-22-222-222-2-2000000-22200-220002-20000-22-2200000000002-200000000
χ45444-4-4-44-4-44-4404i−4i−4i4i000000000000000000000000000000000000000000
χ46444-4-4-44-4-44-440−4i4i4i−4i000000000000000000000000000000000000000000
χ4744-44-4-4-440000000004i−4i000000000000000000000000000000002-22i−2i0000
χ4844-44-4-4-440000000004i−4i00000000000000000000000000000000-22−2i2i0000
χ4944-44-4-4-44000000000−4i4i000000000000000000000000000000002-2−2i2i0000
χ5044-44-4-4-44000000000−4i4i00000000000000000000000000000000-222i−2i0000
χ514-4-44-444-444-4-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-4-44-444-444-4-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-4-44-444-4-4-4440000000000000000000000022−22−222200000000000000000000
χ544-4-44-444-4-4-44400000000000000000000000−222222−2200000000000000000000
χ554-4-4-44-4444-4-444000000-44-40000000000000000000000000000000000000
χ564-4-4-44-444-444-440000004-4-40000000000000000000000000000000000000
χ5788-8-888-8-8000000000000000000000000000000000000000000000000000
χ588-8888-8-8-8000000000000000000000000000000000000000000000000000
χ598-88-8-88-88000000000000000000000000000000000000000000000000000

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