Finite Group Databasebeta

← Group #349033

Character table — Group #349033

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11112222222222224444444444444444444444488888888888888888161616161616161632323232
order12222244444488884444444444488888888888822244444888888888888888882488
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-11-1-1111-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-111-1-1-11-1-111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-111-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ11111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-111111111-1-111-1-1-11-11
χ12111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1111111-1-111-1-1111-11-1
χ13111111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1111-1-11
χ14111111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-111-1
χ15111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111111-111-1-1-111-11111-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111111-111-1-1-111-11111-1-1-1-1-1-11111-1-11-1-11
χ172222222-2-22222222-2-222220000-222-2-222220000-20000-200-2-2-2000000000000000000
χ182222222-2-22222222-2-2-2-2-2-20000-222-2-2-2-2-2-2000020000200-222000000000000000000
χ192222222-2-2222-2-2-2-2-2-222220000-2-2-222-2-2-2-20000-20000-200222000000000000000000
χ202222222-2-2222-2-2-2-2-2-2-2-2-2-20000-2-2-22222220000200002002-2-2000000000000000000
χ21222222-222-2-2-200002-2000022-2-2-200002i2i−2i−2i00000002-200002i−2i002i2i−2i−2i000000000000
χ22222222-222-2-2-200002-2000022-2-2-20000−2i−2i2i2i00000002-20000−2i2i00−2i−2i2i2i000000000000
χ23222222-222-2-2-200002-20000-2-222-200002i2i−2i−2i0000000-2200002i−2i00−2i−2i2i2i000000000000
χ24222222-222-2-2-200002-20000-2-222-20000−2i−2i2i2i0000000-220000−2i2i002i2i−2i−2i000000000000
χ25222222-2-2-2-2-2-20000-2200000000200002i2i−2i−2i2i2i−2i−2i02-20002-20−2i2i2i−2i0000000000000000
χ26222222-2-2-2-2-2-20000-2200000000200002i2i−2i−2i−2i−2i2i2i0-22000-220−2i2i−2i2i0000000000000000
χ27222222-2-2-2-2-2-20000-220000000020000−2i−2i2i2i2i2i−2i−2i0-22000-2202i−2i2i−2i0000000000000000
χ28222222-2-2-2-2-2-20000-220000000020000−2i−2i2i2i−2i−2i2i2i02-20002-202i−2i−2i2i0000000000000000
χ292222-2-22222-2-20000-2-222-2-222-2-22000000000000222-22-2-2-2000000000000000000000
χ302222-2-22222-2-20000-2-222-2-2-2-22220000000000002-2-22-2-222000000000000000000000
χ312222-2-22222-2-20000-2-2-2-22222-2-22000000000000-2-2-2-22222000000000000000000000
χ322222-2-22222-2-20000-2-2-2-222-2-2222000000000000-2222-22-2-2000000000000000000000
χ332222-2-22-2-22-2-200002222-2-20000-2000000002i2i−2i−2i-20000200000−2i2i2i−2i2i−2i000000000000
χ342222-2-22-2-22-2-200002222-2-20000-200000000−2i−2i2i2i-200002000002i−2i−2i2i−2i2i000000000000
χ352222-2-22-2-22-2-2000022-2-2220000-2000000002i2i−2i−2i20000-200000−2i2i−2i2i−2i2i000000000000
χ362222-2-22-2-22-2-2000022-2-2220000-200000000−2i−2i2i2i20000-2000002i−2i2i−2i2i−2i000000000000
χ372222-2-2-222-2222222-2200002222-2-2-22200002222000-2-2000-200-2-20000000000000000
χ382222-2-2-222-2222222-220000-2-2-2-2-2-2-2220000-2-2-2-200022000-200220000000000000000
χ392222-2-2-222-222-2-2-2-2-2200002222-222-2-20000-2-2-2-2000-2-2000200220000000000000000
χ402222-2-2-222-222-2-2-2-2-220000-2-2-2-2-222-2-20000222200022000200-2-20000000000000000
χ412222-2-2-2-2-2-22222222-2000000002-2-2-2-20000000002-2000-22200002-2-22000000000000
χ422222-2-2-2-2-2-22222222-2000000002-2-2-2-2000000000-220002-220000-222-2000000000000
χ432222-2-2-2-2-2-222-2-2-2-22-200000000222220000000002-2000-22-20000-222-2000000000000
χ442222-2-2-2-2-2-222-2-2-2-22-20000000022222000000000-220002-2-200002-2-22000000000000
χ452-2-222-2200-22-222-2-2002i−2i2i−2i000002-2002i−2i2i−2i000000000000000000000i2−i2i2−i22−22−20000
χ462-2-222-2200-22-222-2-2002i−2i2i−2i000002-2002i−2i2i−2i000000000000000000000−i2i2−i2i2−22−220000
χ472-2-222-2200-22-222-2-200−2i2i−2i2i000002-200−2i2i−2i2i000000000000000000000i2−i2i2−i2−22−220000
χ482-2-222-2200-22-222-2-200−2i2i−2i2i000002-200−2i2i−2i2i000000000000000000000−i2i2−i2i22−22−20000
χ492-2-222-2200-22-2-2-222002i−2i2i−2i00000-2200−2i2i−2i2i000000000000000000000i2−i2−i2i22−2−220000
χ502-2-222-2200-22-2-2-222002i−2i2i−2i00000-2200−2i2i−2i2i000000000000000000000−i2i2i2−i2−222−20000
χ512-2-222-2200-22-2-2-22200−2i2i−2i2i00000-22002i−2i2i−2i000000000000000000000i2−i2−i2i2−222−20000
χ522-2-222-2200-22-2-2-22200−2i2i−2i2i00000-22002i−2i2i−2i000000000000000000000−i2i2i2−i22−2−220000
χ5344-4-40004-40002i2−2i22i2−2i2000000004i−4i0002i2−2i2000022−2222−2200000000000000000000000000000
χ5444-4-40004-40002i2−2i22i2−2i200000000−4i4i0002i2−2i20000−2222−222200000000000000000000000000000
χ5544-4-40004-4000−2i22i2−2i22i2000000004i−4i000−2i22i20000−2222−222200000000000000000000000000000
χ5644-4-40004-4000−2i22i2−2i22i200000000−4i4i000−2i22i2000022−2222−2200000000000000000000000000000
χ5744-4-4000-440002i2−2i22i2−2i20000004-400000−2i22i200002i2−2i2−2i22i200000000000000000000000000000
χ5844-4-4000-440002i2−2i22i2−2i2000000-4400000−2i22i20000−2i22i22i2−2i200000000000000000000000000000
χ5944-4-4000-44000−2i22i2−2i22i20000004-4000002i2−2i20000−2i22i22i2−2i200000000000000000000000000000
χ6044-4-4000-44000−2i22i2−2i22i2000000-44000002i2−2i200002i2−2i2−2i22i200000000000000000000000000000
χ614-4-444-4-4004-4400000000000000000004-4-44000000000000000000000000000000000
χ624-4-444-4-4004-440000000000000000000-444-4000000000000000000000000000000000
χ634-4-44-44400-4-440000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ644-4-44-44400-4-44000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ654-4-44-44-40044-444-4-400000000000-44000000000000000000000000000000000000000
χ664-4-44-44-40044-4-4-444000000000004-4000000000000000000000000000000000000000
χ678-88-8000000004i2−4i2−4i24i20000000000000000000000000000000000000000000000000000
χ688-88-800000000−4i24i24i2−4i20000000000000000000000000000000000000000000000000000

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