Finite Group Databasebeta

← Group #258111

Character table — Group #258111

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442244444448888888822244444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-1-1111111-1-1-1-1
χ51111111111111111111111-1-1111-1-11111111111-1111-1-1-11-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-111111111
χ71111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11111
χ91111111111111-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-111-11-11-11-1-1-111-1-111-1-1
χ101111111111111-1-1-1-1-1-11111111-1-1-111-1-1-1-11111-1-1-1-11-11-11-111-1-111-1-111
χ111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1111-1111-1-11111-1-1
χ121111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1111-1111-11-1-111-1-1-1-111
χ131111111111111-1-1-1-1-1-1111-1-111-111111111-1-1-1-1111-1-11-1-1-11-1-1-1-111-1-111
χ141111111111111-1-1-1-1-1-1111-1-111-11111-1-1-1-111111-1-1-1-11-1-1-111111-1-111-1-1
χ151111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-11111-1-1-1-111
χ161111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1111111111-1-111-1-1-1-1-11111-1-1
χ17222222222222-22222-2-2-2-2-22200-2220000000000-200000-20000000000000
χ18222222222222-22222-2-2-2-2-2-2-200-2-2-2000000000020000020000000000000
χ19222222222222-2-2-2-2-222-2-2-222002-2-20000000000200000-20000000000000
χ20222222222222-2-2-2-2-222-2-2-2-2-2002220000000000-20000020000000000000
χ2122222222-2-2-2-2222-2-222-2-220000-200000000000000002200-2-20000000000
χ2222222222-2-2-2-2222-2-222-2-220000-20000000000000000-2-200220000000000
χ2322222222-2-2-2-22-2-222-2-2-2-220000200000000000000002-200-220000000000
χ2422222222-2-2-2-22-2-222-2-2-2-22000020000000000000000-22002-20000000000
χ2522222222-2-2-2-2-222-2-2-2-222-20022200-2-200000000000-20002000000000000
χ2622222222-2-2-2-2-222-2-2-2-222-200-2-220022000000000002000-2000000000000
χ2722222222-2-2-2-2-2-2-2222222-20022-200-2-2000000000002000-2000000000000
χ2822222222-2-2-2-2-2-2-2222222-200-2-2-2002200000000000-20002000000000000
χ29222-2-22-2-222-2-2-20000002-22002i−2i0002i−2i000022-2-200000000002i−2i00000000
χ30222-2-22-2-222-2-2-20000002-22002i−2i0002i−2i0000-2-2220000000000−2i2i00000000
χ31222-2-22-2-222-2-2-20000002-2200−2i2i000−2i2i000022-2-20000000000−2i2i00000000
χ32222-2-22-2-222-2-2-20000002-2200−2i2i000−2i2i0000-2-22200000000002i−2i00000000
χ33222-2-22-2-2-2-22220000002-2-2002i−2i000−2i2i2i2i−2i−2i000002-200000000000000000
χ34222-2-22-2-2-2-22220000002-2-2002i−2i000−2i2i−2i−2i2i2i00000-2200000000000000000
χ35222-2-22-2-2-2-22220000002-2-200−2i2i0002i−2i2i2i−2i−2i00000-2200000000000000000
χ36222-2-22-2-2-2-22220000002-2-200−2i2i0002i−2i−2i−2i2i2i000002-200000000000000000
χ3722-22-2-22-22-22-202i−2i2i−2i000002-20002i−2i002−22−2i2−i2i2−i200000000000000002−2i2−i2
χ3822-22-2-22-22-22-202i−2i2i−2i000002-20002i−2i00−22−22−i2i2−i2i20000000000000000−22−i2i2
χ3922-22-2-22-22-22-202i−2i2i−2i00000-22000−2i2i002−22−2i2−i2i2−i20000000000000000−22−i2i2
χ4022-22-2-22-22-22-202i−2i2i−2i00000-22000−2i2i00−22−22−i2i2−i2i200000000000000002−2i2−i2
χ4122-22-2-22-22-22-20−2i2i−2i2i000002-2000−2i2i002−22−2−i2i2−i2i200000000000000002−2−i2i2
χ4222-22-2-22-22-22-20−2i2i−2i2i000002-2000−2i2i00−22−22i2−i2i2−i20000000000000000−22i2−i2
χ4322-22-2-22-22-22-20−2i2i−2i2i00000-220002i−2i002−22−2−i2i2−i2i20000000000000000−22i2−i2
χ4422-22-2-22-22-22-20−2i2i−2i2i00000-220002i−2i00−22−22i2−i2i2−i200000000000000002−2−i2i2
χ45444-4-44-4-444-4-44000000-44-40000000000000000000000000000000000000
χ46444-4-44-4-4-4-444-4000000-4440000000000000000000000000000000000000
χ4744-44-4-44-4-44-4404i−4i−4i4i000000000000000000000000000000000000000000
χ4844-44-4-44-4-44-440−4i4i4i−4i000000000000000000000000000000000000000000
χ4944-4-44-4-444-4-44000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5044-4-44-4-444-4-4400000000000000000000000−2i22i22i2−2i200000000000000000000
χ5144-4-44-4-44-444-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ5244-4-44-4-44-444-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-4-4-4-44440000000004-4000000000000000000000000000000002-22-20000
χ544-4-4-4-44440000000004-400000000000000000000000000000000-22-220000
χ554-4-4-4-4444000000000-44000000000000000000000000000000002-2-220000
χ564-4-4-4-4444000000000-4400000000000000000000000000000000-222-20000
χ578-888-8-8-88000000000000000000000000000000000000000000000000000
χ588-88-88-88-8000000000000000000000000000000000000000000000000000
χ598-8-8888-8-8000000000000000000000000000000000000000000000000000

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