Finite Group Databasebeta

← Group #257298

Character table — Group #257298

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888844444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1111-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1-111111111
χ511111111111111111111111-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1111111-1-1-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-11-1-11111-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-1-1-11111
χ9111111111111-1-1-1-1-1-11111-1111111-1-11111-1-1-1-1-11-11-1-111-11-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-11111-1111111-1-1-1-1-1-11111-11-11-1-1-1-1-1111-1-111-1-111
χ11111111111111-1-1-1-1-1-11111-11111-1-1111111-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-111
χ12111111111111-1-1-1-1-1-11111-11111-1-111-1-1-1-11111-1-11-111-1-1-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-111-1-11111-1-1
χ14111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1111111-1-111111-1-1-111-1-1-1-111
χ15111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-11-111-1-1-1-1111111-1-1-1-111
χ16111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-111111-111-1-11111-1-1-1-11111-1-1
χ172222222222222222-2-2-2-2-2-2-200002222000000000-2-200000000000000000
χ182222222222222222-2-2-2-2-2-2-20000-2-2-2-20000000002200000000000000000
χ19222222222222-2-2-2-222-2-2-2-22000022-2-2000000000-2200000000000000000
χ20222222222222-2-2-2-222-2-2-2-220000-2-2220000000002-200000000000000000
χ2122222222-2-2-2-222-2-2222-2-22-222-2-200000000000020000000-200000000000
χ2222222222-2-2-2-222-2-2222-2-22-2-2-222000000000000-20000000200000000000
χ2322222222-2-2-2-222-2-2-2-2-222-2200000000000000000002-22000-20000000000
χ2422222222-2-2-2-222-2-2-2-2-222-220000000000000000000-22-200020000000000
χ2522222222-2-2-2-2-2-22222-222-2-2000000000000000000022-2000-20000000000
χ2622222222-2-2-2-2-2-22222-222-2-20000000000000000000-2-2200020000000000
χ2722222222-2-2-2-2-2-222-2-22-2-22222-2-2000000000000-20000000200000000000
χ2822222222-2-2-2-2-2-222-2-22-2-222-2-22200000000000020000000-200000000000
χ29222-2-22-2-22-22-2000000-22-2202i−2i2i−2i0000000022-2-200000000002i−2i00000000
χ30222-2-22-2-22-22-2000000-22-2202i−2i2i−2i00000000-2-2220000000000−2i2i00000000
χ31222-2-22-2-22-22-2000000-22-220−2i2i−2i2i0000000022-2-20000000000−2i2i00000000
χ32222-2-22-2-22-22-2000000-22-220−2i2i−2i2i00000000-2-22200000000002i−2i00000000
χ33222-2-22-2-2-22-22000000-2-22202i−2i−2i2i000022-2-200000000002i−2i000000000000
χ34222-2-22-2-2-22-22000000-2-22202i−2i−2i2i0000-2-2220000000000−2i2i000000000000
χ35222-2-22-2-2-22-22000000-2-2220−2i2i2i−2i000022-2-20000000000−2i2i000000000000
χ36222-2-22-2-2-22-22000000-2-2220−2i2i2i−2i0000-2-22200000000002i−2i000000000000
χ3722-22-2-2-22-222-22i−2i2i−2i000000000002i−2i2-22−22−2i2−i2i2−i20000000000000000i2−i22−2
χ3822-22-2-2-22-222-22i−2i2i−2i000000000002i−2i2-2−22−22−i2i2−i2i20000000000000000−i2i2−22
χ3922-22-2-2-22-222-22i−2i2i−2i00000000000−2i2i-222−22−2i2−i2i2−i20000000000000000−i2i2−22
χ4022-22-2-2-22-222-22i−2i2i−2i00000000000−2i2i-22−22−22−i2i2−i2i20000000000000000i2−i22−2
χ4122-22-2-2-22-222-2−2i2i−2i2i000000000002i−2i-222−22−2−i2i2−i2i20000000000000000i2−i2−22
χ4222-22-2-2-22-222-2−2i2i−2i2i000000000002i−2i-22−22−22i2−i2i2−i20000000000000000−i2i22−2
χ4322-22-2-2-22-222-2−2i2i−2i2i00000000000−2i2i2-22−22−2−i2i2−i2i20000000000000000−i2i22−2
χ4422-22-2-2-22-222-2−2i2i−2i2i00000000000−2i2i2-2−22−22i2−i2i2−i20000000000000000i2−i2−22
χ45444-4-44-4-44-44-40000004-44-40000000000000000000000000000000000000
χ46444-4-44-4-4-44-4400000044-4-40000000000000000000000000000000000000
χ4744-44-4-4-444-4-444i−4i−4i4i0000000000000000000000000000000000000000000
χ4844-44-4-4-444-4-44−4i4i4i−4i0000000000000000000000000000000000000000000
χ4944-4-44-44-444-4-4000000000000000000022−22−2222000000000000000000000000
χ5044-4-44-44-444-4-40000000000000000000−222222−22000000000000000000000000
χ5144-4-44-44-4-4-444000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5244-4-44-44-4-4-44400000000000000000000000−2i22i22i2−2i200000000000000000000
χ534-44-44-4-44000000004i−4i0000000000000000000000000000000002-22i−2i0000
χ544-44-44-4-44000000004i−4i000000000000000000000000000000000-22−2i2i0000
χ554-44-44-4-4400000000−4i4i0000000000000000000000000000000002-2−2i2i0000
χ564-44-44-4-4400000000−4i4i000000000000000000000000000000000-222i−2i0000
χ578-888-8-88-8000000000000000000000000000000000000000000000000000
χ588-8-8888-8-8000000000000000000000000000000000000000000000000000
χ598-8-8-8-8888000000000000000000000000000000000000000000000000000

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