Finite Group Databasebeta

← Group #6818146

Character table — Group #6818146

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11111111222222222222222244444444444444444444444444444488888888888888888888161616161616161616161616
order12222222444444448888888822444444444444444488888888888822224444444488888888444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-111-1-1-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1111111-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-111-1-111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-11-111-1-11-11-1
χ101111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11-11-1-111-11-11
χ111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-11-1111-1-1-11-11
χ121111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111-11-1-1-1111-11-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-111-1-11-11-1-1-111-1-1111-1-11-1-1111-1-11
χ141111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-111-1-1111-11-1-1-111-1-111-111-111-1-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-111-1-1-11-1111-1-111-1-1-111-1-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-111-1-111-11-1111-1-111-1-11-1-1111-1-11-1-11
χ17111111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-11-11-1-1-111
χ18111111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-11-1111-1-1
χ19111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1111-11-111-1-1
χ20111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-11-11-1-111
χ21111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-11111-1-11111-11-11-1-1-1-1
χ22111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-11-1-11111-1-1-1-1-1-11-11-11111
χ23111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-111-1-1-1-111-1-1-1-1-11-111111
χ24111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-111-1-1-1-11111111-11-1-1-1-1-1
χ25111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11-1-111-1-11-111-1
χ26111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-111-1-111-11-1-11
χ27111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-11-1-111-1-11
χ28111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111-1-11-111-1-111-1
χ29111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1111-11-1-111-1-11-11
χ30111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-11-111-1-111-11-1
χ31111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-11-11-111-11-11-1
χ32111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11-11-11-1-11-11-11
χ3322222222-22222-2-2-200000000-2-222-2-222-2-22222222200000000000000000000-2-2-2-200000000000000000000
χ3422222222-22222-2-2-200000000-2-222-2-222-2-2-2-2-2-2-2-2-2-200000000000000000000222200000000000000000000
χ3522222222-22222-2-2-200000000-2-2-2-222-2-22222-2-222-2-200000000000000000000-22-2200000000000000000000
χ3622222222-22222-2-2-200000000-2-2-2-222-2-222-2-222-2-222000000000000000000002-22-200000000000000000000
χ3722222222-2-2-2-2-2-2-2-2000000002222-2-2-2-2222222-2-2-2-200000000000000000000-2-22200000000000000000000
χ3822222222-2-2-2-2-2-2-2-2000000002222-2-2-2-222-2-2-2-222220000000000000000000022-2-200000000000000000000
χ3922222222-2-2-2-2-2-2-2-20000000022-2-22222-2-222-2-2-2-22200000000000000000000-222-200000000000000000000
χ4022222222-2-2-2-2-2-2-2-20000000022-2-22222-2-2-2-22222-2-2000000000000000000002-2-2200000000000000000000
χ412222-2-2-2-2222-2-22-2-22222-2-2-2-22-2000000000000000022-2-2000000002-22-22-22-2000000000000000000000000
χ422222-2-2-2-2222-2-22-2-22222-2-2-2-22-2000000000000000022-2-200000000-22-22-22-22000000000000000000000000
χ432222-2-2-2-2222-2-22-2-2-2-2-2-222222-20000000000000000-2-222000000002-2-222-2-22000000000000000000000000
χ442222-2-2-2-2222-2-22-2-2-2-2-2-222222-20000000000000000-2-22200000000-222-2-222-2000000000000000000000000
χ452222-2-2-2-22-2-2222-2-22222-2-2-2-2-220000000000000000-2-222000000002-2-22-222-2000000000000000000000000
χ462222-2-2-2-22-2-2222-2-22222-2-2-2-2-220000000000000000-2-22200000000-222-22-2-22000000000000000000000000
χ472222-2-2-2-22-2-2222-2-2-2-2-2-22222-22000000000000000022-2-2000000002-22-2-22-22000000000000000000000000
χ482222-2-2-2-22-2-2222-2-2-2-2-2-22222-22000000000000000022-2-200000000-22-222-22-2000000000000000000000000
χ4922-2-22-22-202i−2i2i−2i000i2i2−i2−i2i2i2−i2−i2002-2002i−2i002-22-22i−2i2i−2i2−22−2i2i2−i2−i222−2−20000000000002−22−2i2−i2i2−i2000000000000
χ5022-2-22-22-202i−2i2i−2i000i2i2−i2−i2i2i2−i2−i2002-2002i−2i00-22-22−2i2i−2i2i2−22−2i2i2−i2−i222−2−2000000000000−22−22−i2i2−i2i2000000000000
χ5122-2-22-22-202i−2i2i−2i000i2i2−i2−i2i2i2−i2−i200-2200−2i2i002-2-222i−2i−2i2i2−22−2−i2−i2i2i2−2−2220000000000002−2−22i2−i2−i2i2000000000000
χ5222-2-22-22-202i−2i2i−2i000i2i2−i2−i2i2i2−i2−i200-2200−2i2i00-222-2−2i2i2i−2i2−22−2−i2−i2i2i2−2−222000000000000−222−2−i2i2i2−i2000000000000
χ5322-2-22-22-202i−2i2i−2i000−i2−i2i2i2−i2−i2i2i2002-2002i−2i002-22-22i−2i2i−2i−22−22−i2−i2i2i2−2−222000000000000−22−22−i2i2−i2i2000000000000
χ5422-2-22-22-202i−2i2i−2i000−i2−i2i2i2−i2−i2i2i2002-2002i−2i00-22-22−2i2i−2i2i−22−22−i2−i2i2i2−2−2220000000000002−22−2i2−i2i2−i2000000000000
χ5522-2-22-22-202i−2i2i−2i000−i2−i2i2i2−i2−i2i2i200-2200−2i2i002-2-222i−2i−2i2i−22−22i2i2−i2−i222−2−2000000000000−222−2−i2i2i2−i2000000000000
χ5622-2-22-22-202i−2i2i−2i000−i2−i2i2i2−i2−i2i2i200-2200−2i2i00-222-2−2i2i2i−2i−22−22i2i2−i2−i222−2−20000000000002−2−22i2−i2−i2i2000000000000
χ5722-2-22-22-20−2i2i−2i2i000i2i2−i2−i2i2i2−i2−i2002-200−2i2i002-22-2−2i2i−2i2i−22−22i2i2−i2−i2−2−222000000000000−22−22i2−i2i2−i2000000000000
χ5822-2-22-22-20−2i2i−2i2i000i2i2−i2−i2i2i2−i2−i2002-200−2i2i00-22-222i−2i2i−2i−22−22i2i2−i2−i2−2−2220000000000002−22−2−i2i2−i2i2000000000000
χ5922-2-22-22-20−2i2i−2i2i000i2i2−i2−i2i2i2−i2−i200-22002i−2i002-2-22−2i2i2i−2i−22−22−i2−i2i2i222−2−2000000000000−222−2i2−i2−i2i2000000000000
χ6022-2-22-22-20−2i2i−2i2i000i2i2−i2−i2i2i2−i2−i200-22002i−2i00-222-22i−2i−2i2i−22−22−i2−i2i2i222−2−20000000000002−2−22−i2i2i2−i2000000000000
χ6122-2-22-22-20−2i2i−2i2i000−i2−i2i2i2−i2−i2i2i2002-200−2i2i002-22-2−2i2i−2i2i2−22−2−i2−i2i2i222−2−20000000000002−22−2−i2i2−i2i2000000000000
χ6222-2-22-22-20−2i2i−2i2i000−i2−i2i2i2−i2−i2i2i2002-200−2i2i00-22-222i−2i2i−2i2−22−2−i2−i2i2i222−2−2000000000000−22−22i2−i2i2−i2000000000000
χ6322-2-22-22-20−2i2i−2i2i000−i2−i2i2i2−i2−i2i2i200-22002i−2i002-2-22−2i2i2i−2i2−22−2i2i2−i2−i2−2−2220000000000002−2−22−i2i2i2−i2000000000000
χ6422-2-22-22-20−2i2i−2i2i000−i2−i2i2i2−i2−i2i2i200-22002i−2i00-222-22i−2i−2i2i2−22−2i2i2−i2−i2−2−222000000000000−222−2i2−i2−i2i2000000000000
χ654444-4-4-4-4-444-4-4-44400000000-44000000000000000000000000000000000000000000000000000000000000
χ664444-4-4-4-4-4-4-444-444000000004-4000000000000000000000000000000000000000000000000000000000000
χ6744-4-4-44-4404i−4i−4i4i0002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000022−22−22220000000000000000000000000000000000000000
χ6844-4-4-44-4404i−4i−4i4i000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000−222222−220000000000000000000000000000000000000000
χ6944-4-4-44-440−4i4i4i−4i0002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000−222222−220000000000000000000000000000000000000000
χ7044-4-4-44-440−4i4i4i−4i000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000022−22−22220000000000000000000000000000000000000000
χ714-44-44-4-44000000002i2−2i22i2−2i22i2−2i22i2−2i200004i−4i000000000000000022−2222−22000000000000000000000000000000000000
χ724-44-44-4-44000000002i2−2i22i2−2i22i2−2i22i2−2i20000−4i4i0000000000000000−2222−2222000000000000000000000000000000000000
χ734-44-44-4-4400000000−2i22i2−2i22i2−2i22i2−2i22i200004i−4i0000000000000000−2222−2222000000000000000000000000000000000000
χ744-44-44-4-4400000000−2i22i2−2i22i2−2i22i2−2i22i20000−4i4i000000000000000022−2222−22000000000000000000000000000000000000
χ754-44-4-444-4000000002i2−2i22i2−2i2−2i22i2−2i22i2000000004i−4i000000000000000022−2222−2200000000000000000000000000000000
χ764-44-4-444-4000000002i2−2i22i2−2i2−2i22i2−2i22i200000000−4i4i0000000000000000−2222−222200000000000000000000000000000000
χ774-44-4-444-400000000−2i22i2−2i22i22i2−2i22i2−2i2000000004i−4i0000000000000000−2222−222200000000000000000000000000000000
χ784-44-4-444-400000000−2i22i2−2i22i22i2−2i22i2−2i200000000−4i4i000000000000000022−2222−2200000000000000000000000000000000
χ794-4-4444-4-440000-44-40000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ804-4-4444-4-440000-44-4000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ814-4-4444-4-4-400004-444-4-444-4-4400000000000000000000000000000000000000000000000000000000000000
χ824-4-4444-4-4-400004-44-444-4-444-400000000000000000000000000000000000000000000000000000000000000
χ834-4-44-4-44440000-4-4400000000000000000000000000000000004-4-4400000000000000000000000000000000
χ844-4-44-4-44440000-4-440000000000000000000000000000000000-444-400000000000000000000000000000000
χ854-4-44-4-444-4000044-44-4-44-444-400000000000000000000000000000000000000000000000000000000000000
χ864-4-44-4-444-4000044-4-444-44-4-4400000000000000000000000000000000000000000000000000000000000000

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