Finite Group Databasebeta

← Group #258113

Character table — Group #258113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442244444448888888824444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1111111-1-1-1-1
χ51111111111111111111111-1-1111-1-11111111111-1-11-111-11-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111
χ71111111111111111111111-1-1-1-11-1-1-1-111111111-11-11-1-1-1-111-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-11111
χ91111111111111-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-11111-11-1-1-111-1-111-1-1
χ101111111111111-1-1-1-1-1-11111111-1-1-111-1-1-1-11111-1-1-11-1-11-11-111-1-111-1-111
χ111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-111-1111-1-11111-1-1
χ121111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-111-11111-11-1-111-1-1-1-111
χ131111111111111-1-1-1-1-1-1111-1-111-111111111-1-1-1-111-1-111-1-1-11-1-1-1-111-1-111
χ141111111111111-1-1-1-1-1-1111-1-111-11111-1-1-1-1111111-1-1-1-1-1-1-111111-1-111-1-1
χ151111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-111-11111-1-1-1-111
χ161111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111111-11111-111-1-1-1-1-11111-1-1
χ17222222222222-222-2-2-2-2-2-2-222002-2-20000000000200000-20000000000000
χ18222222222222-222-2-2-2-2-2-2-2-2-2002220000000000-20000020000000000000
χ19222222222222-2-2-22222-2-2-22200-2220000000000-200000-20000000000000
χ20222222222222-2-2-22222-2-2-2-2-200-2-2-2000000000020000020000000000000
χ2122222222-2-2-2-222222-2-2-2-220000-2000000000000020-200002-20000000000
χ2222222222-2-2-2-222222-2-2-2-220000-20000000000000-2020000-220000000000
χ2322222222-2-2-2-22-2-2-2-222-2-220000200000000000002020000-2-20000000000
χ2422222222-2-2-2-22-2-2-2-222-2-22000020000000000000-20-20000220000000000
χ2522222222-2-2-2-2-222-2-22222-20022-200-2-2000000000020000-2000000000000
χ2622222222-2-2-2-2-222-2-22222-200-2-2-200220000000000-200002000000000000
χ2722222222-2-2-2-2-2-2-222-2-222-20022200-2-20000000000-200002000000000000
χ2822222222-2-2-2-2-2-2-222-2-222-200-2-220022000000000020000-2000000000000
χ292-222-22-2-222-2-2-20000002-22002i−2i0002i−2i000022-2-200000000002i−2i00000000
χ302-222-22-2-222-2-2-20000002-22002i−2i0002i−2i0000-2-2220000000000−2i2i00000000
χ312-222-22-2-222-2-2-20000002-2200−2i2i000−2i2i000022-2-20000000000−2i2i00000000
χ322-222-22-2-222-2-2-20000002-2200−2i2i000−2i2i0000-2-22200000000002i−2i00000000
χ332-222-22-2-2-2-22220000002-2-2002i−2i000−2i2i2i2i−2i−2i000000002-200000000000000
χ342-222-22-2-2-2-22220000002-2-2002i−2i000−2i2i−2i−2i2i2i00000000-2200000000000000
χ352-222-22-2-2-2-22220000002-2-200−2i2i0002i−2i2i2i−2i−2i00000000-2200000000000000
χ362-222-22-2-2-2-22220000002-2-200−2i2i0002i−2i−2i−2i2i2i000000002-200000000000000
χ372-22-22-22-22-22-20002i−2i2i−2i0002-20002i−2i002−22−2i2−i2i2−i200000000000000002−2i2−i2
χ382-22-22-22-22-22-20002i−2i2i−2i0002-20002i−2i00−22−22−i2i2−i2i20000000000000000−22−i2i2
χ392-22-22-22-22-22-20002i−2i2i−2i000-22000−2i2i002−22−2i2−i2i2−i20000000000000000−22−i2i2
χ402-22-22-22-22-22-20002i−2i2i−2i000-22000−2i2i00−22−22−i2i2−i2i200000000000000002−2i2−i2
χ412-22-22-22-22-22-2000−2i2i−2i2i0002-2000−2i2i002−22−2−i2i2−i2i200000000000000002−2−i2i2
χ422-22-22-22-22-22-2000−2i2i−2i2i0002-2000−2i2i00−22−22i2−i2i2−i20000000000000000−22i2−i2
χ432-22-22-22-22-22-2000−2i2i−2i2i000-220002i−2i002−22−2−i2i2−i2i20000000000000000−22i2−i2
χ442-22-22-22-22-22-2000−2i2i−2i2i000-220002i−2i00−22−22i2−i2i2−i200000000000000002−2−i2i2
χ45444-4-4-4-444-4-44000000000000000000000002i2−2i2−2i22i200000000000000000000
χ46444-4-4-4-444-4-4400000000000000000000000−2i22i22i2−2i200000000000000000000
χ47444-4-4-4-44-444-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ48444-4-4-4-44-444-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ4944-4-4-444-4000004-40000000000000000000000000000000000002i−2i2i−2i0000
χ5044-4-4-444-4000004-4000000000000000000000000000000000000−2i2i−2i2i0000
χ5144-4-4-444-400000-440000000000000000000000000000000000002i−2i−2i2i0000
χ5244-4-4-444-400000-44000000000000000000000000000000000000−2i2i2i−2i0000
χ534-444-44-4-444-4-44000000-44-40000000000000000000000000000000000000
χ544-444-44-4-4-4-444-4000000-4440000000000000000000000000000000000000
χ554-44-44-44-4-44-440004i−4i−4i4i0000000000000000000000000000000000000000
χ564-44-44-44-4-44-44000−4i4i4i−4i0000000000000000000000000000000000000000
χ5788-888-8-8-8000000000000000000000000000000000000000000000000000
χ588-8-88-8-888000000000000000000000000000000000000000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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