Finite Group Databasebeta

← Group #72252659

Character table — Group #72252659

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size11112222222222222222224444444444888888888816161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232
order12222222224444444488882222888888444444888822444444444444444488881616161616161616161616161616161644444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111
χ71111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ81111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111
χ91111111111111111111111-1-1-1-1111111-1-11111-1-1-1-111111111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ101111111111111111111111-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ111111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111111
χ121111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ131111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ141111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ151111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ161111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ17222222222222222222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-2000000002200000000-2-2-2-2000000000000000000000000
χ18222222222222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-2-2-200000000-2-2000000002222000000000000000000000000
χ19222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000-2-200000000-2-222000000000000000000000000
χ20222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000220000000022-2-2000000000000000000000000
χ212222222222-2-2-2-2-2-2-2-200002222000000-2-222-2-20000000000002-200000000000022−2−222−2−222−2−222−2−200000000
χ222222222222-2-2-2-2-2-2-2-200002222000000-2-222-2-20000000000002-2000000000000−2−222−2−222−2−222−2−22200000000
χ232222222222-2-2-2-2-2-2-2-200002222000000-2-2-2-222000000000000-2200000000000022−2−2−2−22222−2−2−2−22200000000
χ242222222222-2-2-2-2-2-2-2-200002222000000-2-2-2-222000000000000-22000000000000−2−22222−2−2−2−22222−2−200000000
χ252222222222-2-2-2-2-2-2-2-20000-2-2-2-20000002222-2-2000000000000-2200000000000022−2−222−2−2−2−222−2−22200000000
χ262222222222-2-2-2-2-2-2-2-20000-2-2-2-20000002222-2-2000000000000-22000000000000−2−222−2−22222−2−222−2−200000000
χ272222222222-2-2-2-2-2-2-2-20000-2-2-2-200000022-2-2220000000000002-200000000000022−2−2−2−222−2−22222−2−200000000
χ282222222222-2-2-2-2-2-2-2-20000-2-2-2-200000022-2-2220000000000002-2000000000000−2−22222−2−222−2−2−2−22200000000
χ2922222-2-22-2-222-2-2-22-22-2-2-2-20000222-22-20000000000000022-2-2002i2i−2i−2i0000000000002i−2i2i−2i0000000000000000
χ3022222-2-22-2-222-2-2-22-22-2-2-2-20000222-22-20000000000000022-2-200−2i−2i2i2i000000000000−2i2i−2i2i0000000000000000
χ3122222-2-22-2-222-2-2-22-22-2-2-2-20000222-22-200000000000000-2-222002i2i−2i−2i000000000000−2i2i−2i2i0000000000000000
χ3222222-2-22-2-222-2-2-22-22-2-2-2-20000222-22-200000000000000-2-22200−2i−2i2i2i0000000000002i−2i2i−2i0000000000000000
χ332222-22-2-22-2-2-222-22-22-2-2-2-2000022-22-22000000000022-2-20000002i−2i2i−2i000000002i−2i2i−2i00000000000000000000
χ342222-22-2-22-2-2-222-22-22-2-2-2-2000022-22-22000000000022-2-2000000−2i2i−2i2i00000000−2i2i−2i2i00000000000000000000
χ352222-22-2-22-2-2-222-22-22-2-2-2-2000022-22-220000000000-2-2220000002i−2i2i−2i00000000−2i2i−2i2i00000000000000000000
χ362222-22-2-22-2-2-222-22-22-2-2-2-2000022-22-220000000000-2-222000000−2i2i−2i2i000000002i−2i2i−2i00000000000000000000
χ372222-2-22-2-22-2-2-2-222222222000022-2-2-2-2002-22-2000000000000002-2-2200002-20000000000000000000000002-2
χ382222-2-22-2-22-2-2-2-222222222000022-2-2-2-2002-22-200000000000000-222-200002-2000000000000000000000000-22
χ392222-2-22-2-22-2-2-2-222222222000022-2-2-2-200-22-22000000000000002-2-220000-22000000000000000000000000-22
χ402222-2-22-2-22-2-2-2-222222222000022-2-2-2-200-22-2200000000000000-222-20000-220000000000000000000000002-2
χ412222-2-22-2-22-2-2-2-22222-2-2-2-20000-2-22222002-22-200000000000000000022-2-2-220000000000000000002-2000000
χ422222-2-22-2-22-2-2-2-22222-2-2-2-20000-2-22222002-22-2000000000000000000-2-222-22000000000000000000-22000000
χ432222-2-22-2-22-2-2-2-22222-2-2-2-20000-2-2222200-22-2200000000000000000022-2-22-2000000000000000000-22000000
χ442222-2-22-2-22-2-2-2-22222-2-2-2-20000-2-2222200-22-22000000000000000000-2-2222-20000000000000000002-2000000
χ4522-2-222-2-2-222-22-2-2-22222-2-200002-2-222-2000000000000002i−2i2i−2i0000002-22-200000000000000002i−2i2i−2i00000000
χ4622-2-222-2-2-222-22-2-2-22222-2-200002-2-222-2000000000000002i−2i2i−2i000000-22-220000000000000000−2i2i−2i2i00000000
χ4722-2-222-2-2-222-22-2-2-22222-2-200002-2-222-200000000000000−2i2i−2i2i0000002-22-20000000000000000−2i2i−2i2i00000000
χ4822-2-222-2-2-222-22-2-2-22222-2-200002-2-222-200000000000000−2i2i−2i2i000000-22-2200000000000000002i−2i2i−2i00000000
χ4922-2-22-22-22-22-2-222-2-2222-2-222-2-2-2222-2-22-2000022-2-22-22-20000000000000000000000000000000000002-20000
χ5022-2-22-22-22-22-2-222-2-2222-2-222-2-2-2222-2-22-2000022-2-2-22-22000000000000000000000000000000000000-220000
χ5122-2-22-22-22-22-2-222-2-2222-2-2-2-222-2222-2-2-220000-2-2222-22-2000000000000000000000000000000000000-220000
χ5222-2-22-22-22-22-2-222-2-2222-2-2-2-222-2222-2-2-220000-2-222-22-220000000000000000000000000000000000002-20000
χ5322-2-22-22-22-22-2-222-2-22-2-22222-2-22-2-2-2222-20000-2-22200002i−2i−2i2i00000000000000000000000000000000002i−2i00
χ5422-2-22-22-22-22-2-222-2-22-2-22222-2-22-2-2-2222-20000-2-2220000−2i2i2i−2i0000000000000000000000000000000000−2i2i00
χ5522-2-22-22-22-22-2-222-2-22-2-222-2-2222-2-2-222-22000022-2-200002i−2i−2i2i0000000000000000000000000000000000−2i2i00
χ5622-2-22-22-22-22-2-222-2-22-2-222-2-2222-2-2-222-22000022-2-20000−2i2i2i−2i00000000000000000000000000000000002i−2i00
χ5722-2-2-2-2-2222-22-22-2-222-2-2220000-22-222-200000000002-2-2200000000002-2-220000000000002-22-2000000000000
χ5822-2-2-2-2-2222-22-22-2-222-2-2220000-22-222-200000000002-2-220000000000-222-2000000000000-22-22000000000000
χ5922-2-2-2-2-2222-22-22-2-222-2-2220000-22-222-20000000000-222-200000000002-2-22000000000000-22-22000000000000
χ6022-2-2-2-2-2222-22-22-2-222-2-2220000-22-222-20000000000-222-20000000000-222-20000000000002-22-2000000000000
χ6144444-4-44-4-444-4-4-44-4444440000-4-4-44-4400000000000000000000000000000000000000000000000000000000
χ6244444-4-44-4-4-4-4444-44-4000000000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ6344444-4-44-4-4-4-4444-44-400000000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ644444-44-4-44-444-4-44-44-400000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ654444-44-4-44-444-4-44-44-40000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ664444-44-4-44-4-4-444-44-4444440000-4-44-44-400000000000000000000000000000000000000000000000000000000
χ674444-4-44-4-444444-4-4-4-400000000000000004-4-4400000000000000000000000000000000000000000000000000
χ684444-4-44-4-444444-4-4-4-40000000000000000-444-400000000000000000000000000000000000000000000000000
χ6944-4-444-4-4-444-44-4-4-444-4-4440000-444-4-4400000000000000000000000000000000000000000000000000000000
χ7044-4-444-4-4-44-44-4444-4-400000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000
χ7144-4-444-4-4-44-44-4444-4-40000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000
χ7244-4-44-44-44-4-444-4-444-4000044-4-4000000-44000000000000000000000000000000000000000000000000000000
χ7344-4-44-44-44-4-444-4-444-40000-4-4440000004-4000000000000000000000000000000000000000000000000000000
χ7444-4-4-4444-4-44-4-44-444-4000000000000000000000000000000000000000000004-4000000000000000000000000
χ7544-4-4-4444-4-44-4-44-444-400000000000000000000000000000000000000000000-44000000000000000000000000
χ7644-4-4-4444-4-4-444-44-4-4444-4-40000-44-4-44400000000000000000000000000000000000000000000000000000000
χ7744-4-4-4444-4-4-444-44-4-44-4-44400004-444-4-400000000000000000000000000000000000000000000000000000000
χ7844-4-4-4-4-44444-44-444-4-400000000000000000000000000000000000000000000000000000022−22−2222000000000000
χ7944-4-4-4-4-44444-44-444-4-4000000000000000000000000000000000000000000000000000000−222222−22000000000000
χ8044-4-4-4-4-4444-44-44-4-44444-4-400004-44-4-4400000000000000000000000000000000000000000000000000000000
χ818-88-8000000000000004i2−4i24i2−4i24-44-40000000000002i2−2i22i2−2i20000000000000000000000000000000000000000000000
χ828-88-8000000000000004i2−4i24i2−4i2-44-44000000000000−2i22i2−2i22i20000000000000000000000000000000000000000000000
χ838-88-800000000000000−4i24i2−4i24i24-44-4000000000000−2i22i2−2i22i20000000000000000000000000000000000000000000000
χ848-88-800000000000000−4i24i2−4i24i2-44-440000000000002i2−2i22i2−2i20000000000000000000000000000000000000000000000
χ858-8-88000000000000004i2−4i2−4i24i24-4-440000000000002i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ868-8-88000000000000004i2−4i2−4i24i2-444-4000000000000−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ878-8-8800000000000000−4i24i24i2−4i24-4-44000000000000−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ888-8-8800000000000000−4i24i24i2−4i2-444-40000000000002i2−2i2−2i22i20000000000000000000000000000000000000000000000

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