Finite Group Databasebeta

← Group #170241

Character table — Group #170241

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122224444444444448888888888888888888888881616161616161616161616163232
order12222222444422444444444444444444888888888888888824444444888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-11111111111111111-1-1-1-11-11-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111
χ5111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-11111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-111111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11-11-1-1-1-111
χ911111111-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-1-1111-1-11-1
χ1011111111-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-11-1-111-11
χ1111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-11
χ1211111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-11-1
χ1311111111-1-1-1-1-1-11-1-1-1-111111-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-11-111-1-1-1111-1
χ1411111111-1-1-1-1-1-11-1-1-1-111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-11-111-111-1-1-11
χ1511111111-1-1-1-1-1-11-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-11
χ1611111111-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1111-1
χ17222222222222222-2-2-2-2-2-2-2-22000000000000000000000000020-2020-2000000
χ18222222222222222-2-2-2-2-2-2-2-220000000000000000000000000-2020-202000000
χ19222222222222-2-2-222-2-2-2-222-2002200220000000000000000-20-200000000000
χ20222222222222-2-2-222-2-2-2-222-200-2-200-2-2000000000000000020200000000000
χ21222222222222-2-2-2-2-22222-2-2-22200220000000000000000000000-20-20000000
χ22222222222222-2-2-2-2-22222-2-2-2-2-200-2-200000000000000000000002020000000
χ2322222222-2-2-2-222-222-2-222-2-2-22200-2-20000000000000000000000-2020000000
χ2422222222-2-2-2-222-222-2-222-2-2-2-2-20022000000000000000000000020-20000000
χ2522222222-2-2-2-222-2-2-222-2-222-2002200-2-20000000000000000-20200000000000
χ2622222222-2-2-2-222-2-2-222-2-222-200-2-20022000000000000000020-200000000000
χ2722222222-2-2-2-2-2-222222-2-2-2-2200000000000000000000000002020-20-2000000
χ2822222222-2-2-2-2-2-222222-2-2-2-220000000000000000000000000-20-20202000000
χ2922-2-22-2-222i2i−2i−2i0002i−2i00002-20002i−2i002-200000000i2i2−i2−i222−2−2000000002−2i2−i200
χ3022-2-22-2-222i2i−2i−2i0002i−2i00002-20002i−2i002-200000000−i2−i2i2i2−2−22200000000−22−i2i200
χ3122-2-22-2-222i2i−2i−2i0002i−2i00002-2000−2i2i00-2200000000i2i2−i2−i222−2−200000000−22−i2i200
χ3222-2-22-2-222i2i−2i−2i0002i−2i00002-2000−2i2i00-2200000000−i2−i2i2i2−2−222000000002−2i2−i200
χ3322-2-22-2-22−2i−2i2i2i000−2i2i00002-20002i−2i00-2200000000i2i2−i2−i2−2−222000000002−2−i2i200
χ3422-2-22-2-22−2i−2i2i2i000−2i2i00002-20002i−2i00-2200000000−i2−i2i2i222−2−200000000−22i2−i200
χ3522-2-22-2-22−2i−2i2i2i000−2i2i00002-2000−2i2i002-200000000i2i2−i2−i2−2−22200000000−22i2−i200
χ3622-2-22-2-22−2i−2i2i2i000−2i2i00002-2000−2i2i002-200000000−i2−i2i2i222−2−2000000002−2−i2i200
χ372-22-222-2-22i−2i2i−2i000002i−2i2-20002i−2i002-200i2i2−i2−i222−2−22−22−2i2−i2i2−i200000000000000
χ382-22-222-2-22i−2i2i−2i000002i−2i2-20002i−2i002-200−i2−i2i2i2−2−222−22−22−i2i2−i2i200000000000000
χ392-22-222-2-22i−2i2i−2i000002i−2i2-2000−2i2i00-2200i2i2−i2−i222−2−2−22−22−i2i2−i2i200000000000000
χ402-22-222-2-22i−2i2i−2i000002i−2i2-2000−2i2i00-2200−i2−i2i2i2−2−2222−22−2i2−i2i2−i200000000000000
χ412-22-222-2-2−2i2i−2i2i00000−2i2i2-20002i−2i00-2200i2i2−i2−i2−2−2222−22−2−i2i2−i2i200000000000000
χ422-22-222-2-2−2i2i−2i2i00000−2i2i2-20002i−2i00-2200−i2−i2i2i222−2−2−22−22i2−i2i2−i200000000000000
χ432-22-222-2-2−2i2i−2i2i00000−2i2i2-2000−2i2i002-200i2i2−i2−i2−2−222−22−22i2−i2i2−i200000000000000
χ442-22-222-2-2−2i2i−2i2i00000−2i2i2-2000−2i2i002-200−i2−i2i2i222−2−22−22−2−i2i2−i2i200000000000000
χ45444-4-4-44-4000000400000000-40000000022−2222−2200000000000000000000000000
χ46444-4-4-44-4000000400000000-400000000−2222−222200000000000000000000000000
χ47444-4-4-44-4000000-40000000040000000000002i2−2i22i2−2i20000000000000000000000
χ48444-4-4-44-4000000-4000000004000000000000−2i22i2−2i22i20000000000000000000000
χ4944-4-44-4-444i4i−4i−4i000−4i4i0000-44000000000000000000000000000000000000000
χ5044-4-44-4-44−4i−4i4i4i0004i−4i0000-44000000000000000000000000000000000000000
χ514-444-4-4-4400004-40000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ524-444-4-4-4400004-4000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ534-444-4-4-440000-440000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ544-444-4-4-440000-44000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ554-44-444-4-44i−4i4i−4i00000−4i4i-4400000000000000000000000000000000000000000
χ564-44-444-4-4−4i4i−4i4i000004i−4i-4400000000000000000000000000000000000000000
χ574-4-444-44-44-4-4400000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ584-4-444-44-44-4-440000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ594-4-444-44-4-444-400000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ604-4-444-44-4-444-40000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ6188-88-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8-8-8-8888000000000000000000000000000000000000000000000000000000

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