Finite Group Databasebeta

← Group #10883559

Character table — Group #10883559

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112222222224444444668888888888121212121212121616161616161616161616161616161624242424242424244848
order1222234444666612121212882244888888444488846681212121224242424242424242244444448
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111111-111-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1-1-1-111-1-11-1111-1-1-11-1
χ41111111111111111111111-1-1-1-1-1-111-1-1-1-1111-1111-1-1-1-1-1-111-1-111-1111-11-1-1-11
χ511111111111111111111-1-111-1-111-1-1-1-1-1-1111-1-1-1111-1-1-1-11111-1-11-1-1-11-111-11
χ611111111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-11111-1-1-1-1-1-111-11-1-1-11111-1
χ711111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1
χ811111111111111111111-1-1-1-111-1-1-1-111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111
χ9111111111111111111-1-11111111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-111-1-111-1-111
χ11111111111111111111-1-111-1-1-1-111-1-11111-1-1-1111-1-1-111-1-1-1-111-1-1-11-1-1-1111-11
χ12111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-111-1-1111-1-1-11-1111-1
χ13111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111-1-1-1-11111-1-1-1111-11-1-11-1
χ14111111111111111111-1-1-1-111-1-1-1-1111111-1-1-11-1-1-11111-1-1-1-1-1-1111-1111-1-1-1-11
χ15111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111
χ16111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111-1-1-1-111111111-1-1
χ1722222-12222-1-1-1-1-1-1-1-100222222222200000002-1-12-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1822222-12222-1-1-1-1-1-1-1-100222222-2-2-2-20000000-2-1-1-2-1-111-1-11111110000000000
χ1922222-12222-1-1-1-1-1-1-1-10022-2-2-2-222-2-200000002-1-1-211-1-11111-1-1110000000000
χ2022222-12222-1-1-1-1-1-1-1-10022-2-2-2-2-2-2220000000-2-1-12111111-1-111-1-10000000000
χ2122222-12222-1-1-1-1-1-1-1-100-2-222-2-222-2-20000000-2112-1-11111-1-1-1-1110000000000
χ2222222-12222-1-1-1-1-1-1-1-100-2-222-2-2-2-2220000000211-2-1-1-1-1111111-1-10000000000
χ2322222-12222-1-1-1-1-1-1-1-100-2-2-2-22222220000000-211-21111-1-111-1-1-1-10000000000
χ2422222-12222-1-1-1-1-1-1-1-100-2-2-2-222-2-2-2-20000000211211-1-1-1-1-1-111110000000000
χ25222-2-222-2-2222-2-22-2-2222002i−2i00000000002-2-200002i−2i00000000000000002i−2i00
χ26222-2-222-2-2222-2-22-2-222200−2i2i00000000002-2-20000−2i2i0000000000000000−2i2i00
χ27222-2-222-2-2222-2-22-2-22-2-2002i−2i0000000000-22200002i−2i0000000000000000−2i2i00
χ28222-2-222-2-2222-2-22-2-22-2-200−2i2i0000000000-2220000−2i2i00000000000000002i−2i00
χ29222-2-22-222-222-2-2-222-2000000002i−2i002i2i−2i−2i0000000000000002i−2i0002000-20000
χ30222-2-22-222-222-2-2-222-2000000002i−2i00−2i−2i2i2i0000000000000002i−2i000-200020000
χ31222-2-22-222-222-2-2-222-200000000−2i2i002i2i−2i−2i000000000000000−2i2i000-200020000
χ32222-2-22-222-222-2-2-222-200000000−2i2i00−2i−2i2i2i000000000000000−2i2i0002000-20000
χ3322-22-2222-2-22-22-222-2-200000000002i−2i2i−2i2i−2i000000000000000002i−2i2000-200000
χ3422-22-2222-2-22-22-222-2-200000000002i−2i−2i2i−2i2i000000000000000002i−2i-2000200000
χ3522-22-2222-2-22-22-222-2-20000000000−2i2i2i−2i2i−2i00000000000000000−2i2i-2000200000
χ3622-22-2222-2-22-22-222-2-20000000000−2i2i−2i2i−2i2i00000000000000000−2i2i2000-200000
χ3722-22-22-2-2222-22-2-2-222222-2000000000000-22-202-20000000000000002-2000000
χ3822-22-22-2-2222-22-2-2-22222-22000000000000-22-20-22000000000000000-22000000
χ3922-22-22-2-2222-22-2-2-222-2-22-20000000000002-2202-2000000000000000-22000000
χ4022-22-22-2-2222-22-2-2-222-2-2-220000000000002-220-220000000000000002-2000000
χ4122-2-222-22-222-2-22-22-222200002-200002-2-22-2-22000000002-20000000000000000
χ4222-2-222-22-222-2-22-22-22220000-220000-222-2-2-2200000000-220000000000000000
χ4322-2-222-22-222-2-22-22-22-2-200002-20000-222-222-2000000002-20000000000000000
χ4422-2-222-22-222-2-22-22-22-2-20000-2200002-2-2222-200000000-220000000000000000
χ45444444-4-4-4-44444-4-4-4-4000000000000000000000000000000000000000000000
χ4644444-2-4-4-4-4-2-2-2-222220000000000000000000000000000023−2300000000000000
χ4744444-2-4-4-4-4-2-2-2-2222200000000000000000000000000000−232300000000000000
χ48444-4-4-24-4-44-2-222-222-200004i−4i00000000000000000−2i2i00000000000000000000
χ49444-4-4-24-4-44-2-222-222-20000−4i4i000000000000000002i−2i00000000000000000000
χ50444-4-4-2-444-4-2-2222-2-22000000004i−4i000000000000000000000−2i2i000000000000
χ51444-4-4-2-444-4-2-2222-2-2200000000−4i4i0000000000000000000002i−2i000000000000
χ5244-44-4-244-4-4-22-22-2-22200000000004i−4i000000000000000000000−2i2i0000000000
χ5344-44-4-244-4-4-22-22-2-2220000000000−4i4i0000000000000000000002i−2i0000000000
χ5444-44-4-2-4-444-22-2222-2-2004-40000000000000000-2200000000000000000000000
χ5544-44-4-2-4-444-22-2222-2-200-4400000000000000002-200000000000000000000000
χ5644-4-4444-44-44-4-444-44-4000000000000000000000000000000000000000000000
χ5744-4-44-24-44-4-222-2-22-22000000000000000000000000023−23000000000000000000
χ5844-4-44-24-44-4-222-2-22-220000000000000000000000000−2323000000000000000000
χ5944-4-44-2-44-44-222-22-22-20000004-40000000000000000000-220000000000000000
χ6044-4-44-2-44-44-222-22-22-2000000-4400000000000000000002-20000000000000000
χ618-800080000-80000000−4i24i20000000000000000000000000000000000000000000
χ628-800080000-800000004i2−4i20000000000000000000000000000000000000000000
χ6316-16000-8000080000000000000000000000000000000000000000000000000000

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