Finite Group Databasebeta

← Group #268462

Character table — Group #268462

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444488888888888888888888888888888888888881616161616163232
order12222222444444444444224444444444444444488888888888888888888888822444424
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ31111111111111111111111111111-1-111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111
χ41111111111111111111111111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111111111111-11-1-1-1-1-1
χ511111111111111111111111111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1
χ611111111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111
χ711111111111111111111111111-1-1-1-1-1-111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ811111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ911111111111-1-1-1-111111-1-1-1-1111111-1-11111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11-1
χ1011111111111-1-1-1-111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-11
χ1111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1111-1
χ1211111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-111-11
χ1311111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-11
χ1411111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11111-1
χ1511111111111-1-1-1-111111-1-1-1-111-1-1-1-1111111-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11
χ1611111111111-1-1-1-111111-1-1-1-111-1-1-1-1111111-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11-1
χ17222222222222222-2-2-2-2222-2-2-2-20022000000-2220000000000000000000000000-20-20000
χ18222222222222222-2-2-2-2222-2-2-2-200-2-2000000-2-2-200000000000000000000000002020000
χ1922222222222-2-2-2-2-2-2-2-22-2-222-2-200220000002-2-2000000000000000000000000020-20000
χ2022222222222-2-2-2-2-2-2-2-22-2-222-2-200-2-20000002220000000000000000000000000-2020000
χ2122222222-2-2-222222222-2-2-222-2-22200220000-200000000000000000000000000-20-200000
χ2222222222-2-2-222222222-2-2-222-2-2-2-200-2-20000-20000000000000000000000000020200000
χ2322222222-2-2-22222-2-2-2-2-2-2-2-2-22200000022-2-220000000000000000000000000000002-200
χ2422222222-2-2-22222-2-2-2-2-2-2-2-2-222000000-2-2222000000000000000000000000000000-2200
χ2522222222-2-2-2-2-2-2-22222-222-2-2-2-22200-2-2000020000000000000000000000000020-200000
χ2622222222-2-2-2-2-2-2-22222-222-2-2-2-2-2-200220000200000000000000000000000000-20200000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200000022-2-2-2000000000000000000000000000000-2200
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-2-222-20000000000000000000000000000002-200
χ29222-2-2-22-20002i2i−2i−2i2-22-20002i−2i002-2002i−2i000000000000000i2i2−i2−i222−2−2i2i2−i2−i222−2−200000000
χ30222-2-2-22-20002i2i−2i−2i2-22-20002i−2i002-2002i−2i000000000000000−i2−i2i2i2−2−222−i2−i2i2i2−2−22200000000
χ31222-2-2-22-20002i2i−2i−2i2-22-20002i−2i00-2200−2i2i000000000000000i2i2−i2−i222−2−2−i2−i2i2i2−2−22200000000
χ32222-2-2-22-20002i2i−2i−2i2-22-20002i−2i00-2200−2i2i000000000000000−i2−i2i2i2−2−222i2i2−i2−i222−2−200000000
χ33222-2-2-22-2000−2i−2i2i2i2-22-2000−2i2i002-200−2i2i000000000000000i2i2−i2−i2−2−222i2i2−i2−i2−2−22200000000
χ34222-2-2-22-2000−2i−2i2i2i2-22-2000−2i2i002-200−2i2i000000000000000−i2−i2i2i222−2−2−i2−i2i2i222−2−200000000
χ35222-2-2-22-2000−2i−2i2i2i2-22-2000−2i2i00-22002i−2i000000000000000i2i2−i2−i2−2−222−i2−i2i2i222−2−200000000
χ36222-2-2-22-2000−2i−2i2i2i2-22-2000−2i2i00-22002i−2i000000000000000−i2−i2i2i222−2−2i2i2−i2−i2−2−22200000000
χ372-22-22-2-2222-22-22-20000-22-20000002i−2i00000002i−2i22−2−222−2−200000000i2−i2i2−i2i2−i2i2−i200000000
χ382-22-22-2-2222-22-22-20000-22-20000002i−2i00000002i−2i−2−222−2−22200000000−i2i2−i2i2−i2i2−i2i200000000
χ392-22-22-2-2222-22-22-20000-22-2000000−2i2i0000000−2i2i22−2−222−2−200000000−i2i2−i2i2−i2i2−i2i200000000
χ402-22-22-2-2222-22-22-20000-22-2000000−2i2i0000000−2i2i−2−222−2−22200000000i2−i2i2−i2i2−i2i2−i200000000
χ412-22-22-2-2222-2-22-220000-2-220000002i−2i0000000−2i2i22−2−2−2−22200000000i2−i2i2−i2−i2i2−i2i200000000
χ422-22-22-2-2222-2-22-220000-2-220000002i−2i0000000−2i2i−2−22222−2−200000000−i2i2−i2i2i2−i2i2−i200000000
χ432-22-22-2-2222-2-22-220000-2-22000000−2i2i00000002i−2i22−2−2−2−22200000000−i2i2−i2i2i2−i2i2−i200000000
χ442-22-22-2-2222-2-22-220000-2-22000000−2i2i00000002i−2i−2−22222−2−200000000i2−i2i2−i2−i2i2−i2i200000000
χ452-2-2-2222-22-22000022-2-2-200002-20000002-22-20002i−2i2i−2i00002i−2i2i−2i00000000000000000000
χ462-2-2-2222-22-22000022-2-2-200002-20000002-22-2000−2i2i−2i2i0000−2i2i−2i2i00000000000000000000
χ472-2-2-2222-22-22000022-2-2-200002-2000000-22-220002i−2i2i−2i0000−2i2i−2i2i00000000000000000000
χ482-2-2-2222-22-22000022-2-2-200002-2000000-22-22000−2i2i−2i2i00002i−2i2i−2i00000000000000000000
χ492-2-2-2222-2-22-20000-2-222200002-20000002-2-2200000002-22-200002-22-20000000000000000
χ502-2-2-2222-2-22-20000-2-222200002-20000002-2-220000000-22-220000-22-220000000000000000
χ512-2-2-2222-2-22-20000-2-222200002-2000000-222-200000002-22-20000-22-220000000000000000
χ522-2-2-2222-2-22-20000-2-222200002-2000000-222-20000000-22-2200002-22-20000000000000000
χ53444-4-4-44-40004i4i−4i−4i-44-44000−4i4i00000000000000000000000000000000000000000000000
χ54444-4-4-44-4000−4i−4i4i4i-44-440004i−4i00000000000000000000000000000000000000000000000
χ5544-444-4-4-44-4-400000000400000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ5644-444-4-4-44-4-40000000040000000000000000000−2i22i22i2−2i20000000000000000000000000000
χ5744-444-4-4-4-44400000000-40000000000000000000000022−22−2222000000000000000000000000
χ5844-444-4-4-4-44400000000-400000000000000000000000−222222−22000000000000000000000000
χ594-444-44-4-40004i−4i−4i4i00000000000000000000000000000000000000002-2-22−2i2i2i−2i00000000
χ604-444-44-4-40004i−4i−4i4i0000000000000000000000000000000000000000-222-22i−2i−2i2i00000000
χ614-444-44-4-4000−4i4i4i−4i00000000000000000000000000000000000000002-2-222i−2i−2i2i00000000
χ624-444-44-4-4000−4i4i4i−4i0000000000000000000000000000000000000000-222-2−2i2i2i−2i00000000
χ634-44-44-4-44-4-444-44-400004-440000000000000000000000000000000000000000000000000
χ644-44-44-4-44-4-44-44-44000044-40000000000000000000000000000000000000000000000000
χ654-4-44-4-44400000004-4-44000000000000000000000000000022−22−222200000000000000000000
χ664-4-44-4-44400000004-4-440000000000000000000000000000−222222−2200000000000000000000
χ674-4-44-4-4440000000-444-40000000000000000000000000000000022−22−22220000000000000000
χ684-4-44-4-4440000000-444-400000000000000000000000000000000−222222−220000000000000000
χ694-4-4-4444-44-440000-4-444-40000-44000000000000000000000000000000000000000000000
χ704-4-4-4444-4-44-4000044-4-440000-44000000000000000000000000000000000000000000000
χ7188-8-8-88-88000000000000000000000000000000000000000000000000000000000000000

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