Finite Group Databasebeta

← Group #72313847

Character table — Group #72313847

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size11112222222244444444444444488888816161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232
order1222222222442222222244444444444442222444444448888888888888888888888882444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1
χ5111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111
χ91111-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-11-1111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-111-1-1
χ101111-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-11-1111-1-111-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-111-1-11-1-111
χ111111-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-11-1111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-11-1111-1-1
χ121111-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-11-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1-111
χ131111-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-11-11-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-11-1-1-111
χ141111-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-11-11-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-111-1-1111-1-1
χ151111-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-11-11-1-111-1-111-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-1-111
χ161111-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-11-11-1-111-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-11-1-111-111-1-1
χ1722222222222222-222-2-2-222-2-22-2-2-22-2-2-2200002222000000000000000000000000000000-2-2000000
χ1822222222222222-222-2-2-222-2-22-2-2-22-2-2-220000-2-2-2-200000000000000000000000000000022000000
χ19222222222222-2-22-2-222222-2-22-2-22-22-2-2-20000000000002222-2-2-2-200000000000000000000000000
χ20222222222222-2-22-2-222222-2-22-2-22-22-2-2-2000000000000-2-2-2-2222200000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-22222222-2-2-222-20000000000000000000000000000000000002200-2-20000
χ22222222222222-2-2-2-2-2-2-2-22222222-2-2-222-2000000000000000000000000000000000000-2-200220000
χ232222222222-2-222222222-2-222-222-2-2-2-2-2-20000000000000000000022-2-222-2-2000000000000000000
χ242222222222-2-222222222-2-222-222-2-2-2-2-2-200000000000000000000-2-222-2-222000000000000000000
χ252222222222-2-222-222-2-2-2-2-2-2-2-2-2-22-2222-20000000000000000000000000000000000000000002i−2i2i−2i
χ262222222222-2-222-222-2-2-2-2-2-2-2-2-2-22-2222-2000000000000000000000000000000000000000000−2i2i−2i2i
χ272222222222-2-2-2-22-2-2222-2-2-2-2-2-2-2-22-2222000000000000000000000000000022-2-222-2-20000000000
χ282222222222-2-2-2-22-2-2222-2-2-2-2-2-2-2-22-22220000000000000000000000000000-2-222-2-2220000000000
χ292222222222-2-2-2-2-2-2-2-2-2-2-2-222-222222-2-222-22-200002-22-20000000000000000000000000000000000
χ302222222222-2-2-2-2-2-2-2-2-2-2-2-222-222222-2-22-22-220000-22-220000000000000000000000000000000000
χ312222-2-2-2-2222222-2-2-222-2-2-2222-2-2-2-22-222000022-2-2000000000000000000000000000000-22000000
χ322222-2-2-2-2222222-2-2-222-2-2-2222-2-2-2-22-2220000-2-2220000000000000000000000000000002-2000000
χ332222-2-2-2-22222-2-2222-2-22-2-2222-2-222-2-22-200000000000022-2-2-2-22200000000000000000000000000
χ342222-2-2-2-22222-2-2222-2-22-2-2222-2-222-2-22-2000000000000-2-22222-2-200000000000000000000000000
χ352222-2-2-2-22222-2-2-22222-2-2-2-2-2222-2222-2-20000000000000000000000000000000000002-200-220000
χ362222-2-2-2-22222-2-2-22222-2-2-2-2-2222-2222-2-2000000000000000000000000000000000000-22002-20000
χ372222-2-2-2-222-2-2222-2-2-2-2222-2-2-222-222-22-20000000000000000000022-2-2-2-222000000000000000000
χ382222-2-2-2-222-2-2222-2-2-2-2222-2-2-222-222-22-200000000000000000000-2-22222-2-2000000000000000000
χ392222-2-2-2-222-2-222-2-2-222-22222-2-2-222-22-2-20000000000000000000000000000000000000000002i−2i−2i2i
χ402222-2-2-2-222-2-222-2-2-222-22222-2-2-222-22-2-2000000000000000000000000000000000000000000−2i2i2i−2i
χ412222-2-2-2-222-2-2-2-2222-2-222222-2-2-2-2-222-22000000000000000000000000000022-2-2-2-2220000000000
χ422222-2-2-2-222-2-2-2-2222-2-222222-2-2-2-2-222-220000000000000000000000000000-2-22222-2-20000000000
χ432222-2-2-2-222-2-2-2-2-22222-222-2-2-2222-2-2-2222-2-2200002-2-220000000000000000000000000000000000
χ442222-2-2-2-222-2-2-2-2-22222-222-2-2-2222-2-2-222-222-20000-222-20000000000000000000000000000000000
χ452-2-2222-2-22-2002-222-22-2-2002-202-2000000000000000000i2−i2i2−i2i2−i2i2−i2002-2002-2i2−i2i2−i2i2−i2i2−i20000000000
χ462-2-2222-2-22-2002-222-22-2-2002-202-2000000000000000000i2−i2i2−i2i2−i2i2−i200-2200-22−i2i2−i2i2−i2i2−i2i20000000000
χ472-2-2222-2-22-2002-222-22-2-2002-202-2000000000000000000−i2i2−i2i2−i2i2−i2i2002-2002-2−i2i2−i2i2−i2i2−i2i20000000000
χ482-2-2222-2-22-2002-222-22-2-2002-202-2000000000000000000−i2i2−i2i2−i2i2−i2i200-2200-22i2−i2i2−i2i2−i2i2−i20000000000
χ492-2-2222-2-22-200-222-222-2-200-220-22000000000000000000i2−i2i2−i2−i2i2−i2i22-2002-200i2−i2−i2i2i2−i2−i2i20000000000
χ502-2-2222-2-22-200-222-222-2-200-220-22000000000000000000i2−i2i2−i2−i2i2−i2i2-2200-2200−i2i2i2−i2−i2i2i2−i20000000000
χ512-2-2222-2-22-200-222-222-2-200-220-22000000000000000000−i2i2−i2i2i2−i2i2−i22-2002-200−i2i2i2−i2−i2i2i2−i20000000000
χ522-2-2222-2-22-200-222-222-2-200-220-22000000000000000000−i2i2−i2i2i2−i2i2−i2-2200-2200i2−i2−i2i2i2−i2−i2i20000000000
χ532-2-22-2-2222-2002-22-22-22-200-2202-2000000000000000000i2−i2−i2i2i2−i2−i2i2002-200-22i2−i2i2−i2−i2i2−i2i20000000000
χ542-2-22-2-2222-2002-22-22-22-200-2202-2000000000000000000i2−i2−i2i2i2−i2−i2i200-22002-2−i2i2−i2i2i2−i2i2−i20000000000
χ552-2-22-2-2222-2002-22-22-22-200-2202-2000000000000000000−i2i2i2−i2−i2i2i2−i2002-200-22−i2i2−i2i2i2−i2i2−i20000000000
χ562-2-22-2-2222-2002-22-22-22-200-2202-2000000000000000000−i2i2i2−i2−i2i2i2−i200-22002-2i2−i2i2−i2−i2i2−i2i20000000000
χ572-2-22-2-2222-200-2222-2-22-2002-20-22000000000000000000i2−i2−i2i2−i2i2i2−i22-200-2200i2−i2−i2i2−i2i2i2−i20000000000
χ582-2-22-2-2222-200-2222-2-22-2002-20-22000000000000000000i2−i2−i2i2−i2i2i2−i2-22002-200−i2i2i2−i2i2−i2−i2i20000000000
χ592-2-22-2-2222-200-2222-2-22-2002-20-22000000000000000000−i2i2i2−i2i2−i2−i2i22-200-2200−i2i2i2−i2i2−i2−i2i20000000000
χ602-2-22-2-2222-200-2222-2-22-2002-20-22000000000000000000−i2i2i2−i2i2−i2−i2i2-22002-200i2−i2−i2i2−i2i2i2−i20000000000
χ6144444-44-4-4-444000000004-400-40000000022220000-2-2-2-20000000000000000000000000000000000
χ6244444-44-4-4-444000000004-400-400000000-2-2-2-2000022220000000000000000000000000000000000
χ6344444-44-4-4-4-4-400000000-44004000000002-22-20000-22-220000000000000000000000000000000000
χ6444444-44-4-4-4-4-400000000-4400400000000-22-2200002-22-20000000000000000000000000000000000
χ654444-44-44-4-44400000000-4400-40000000022-2-20000-2-2220000000000000000000000000000000000
χ664444-44-44-4-44400000000-4400-400000000-2-222000022-2-20000000000000000000000000000000000
χ674444-44-44-4-4-4-4000000004-4004000000002-2-220000-222-20000000000000000000000000000000000
χ684444-44-44-4-4-4-4000000004-400400000000-222-200002-2-220000000000000000000000000000000000
χ694-4-4444-4-44-4004-4-44-4-44400-440-440000000000000000000000000000000000000000000000000000
χ704-4-4444-4-44-400-44-4-44-444004-404-40000000000000000000000000000000000000000000000000000
χ714-4-44-4-4444-4004-4-4-444-44004-40-440000000000000000000000000000000000000000000000000000
χ724-4-44-4-4444-400-44-44-44-4400-4404-40000000000000000000000000000000000000000000000000000
χ7388-8-80000008-80000000000000000000000000004i−4i00000000000000000000000000000000000000
χ7488-8-80000008-8000000000000000000000000000−4i4i00000000000000000000000000000000000000
χ7588-8-8000000-8800000000000000000000000004i−4i0000000000000000000000000000000000000000
χ7688-8-8000000-880000000000000000000000000−4i4i0000000000000000000000000000000000000000
χ778-8-888-8-88-88000000000000000000000000000000000000000000000000000000000000000000000
χ788-8-88-888-8-88000000000000000000000000000000000000000000000000000000000000000000000
χ7916-1616-16000000000000000000000000000000000000000000000000000000000000000000000000000

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