Finite Group Databasebeta

← Group #72255863

Character table — Group #72255863

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size112222222444444444444444444888881616161616161616161616161616161616161616161616161616161616161616323232323232323232323232
order1222222222222222222222244442224422224444444444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ91111111111111-1-1-1-1-1-111111111-1-1-1-1-11-1111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111111-1-1-1-1-1-111111111-1-1-1-1-11-1111-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1
χ111111111111111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-11-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-111
χ121111111111111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-11-1-1-111-1-1-1-1-1-11111-1-1111111-1-11111-1-111-1-1-1-111
χ131111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111
χ141111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ151111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-1
χ161111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-11-1-1-1-111-1-1-1-1111111-1-1111111-1-111-1-1-1-11111-1-1
χ1722222222222-2-222222222-2-2-2-2-2-22-2-2-2-20000000000000000000022220000-2-2-2-2000000000000
χ1822222222222-2-222222222-2-2-2-2-2-22-2-2-2-200000000000000000000-2-2-2-200002222000000000000
χ1922222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-222220000000000000000000022-2-20000-2-222000000000000
χ2022222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2222200000000000000000000-2-222000022-2-2000000000000
χ21222222222-2-2222222-2-2-2-222-2-2-2-2-2-2-22200000000000022-2-222-2-2000000000000000000000000
χ22222222222-2-2222222-2-2-2-222-2-2-2-2-2-2-222000000000000-2-222-2-222000000000000000000000000
χ23222222222-2-222-2-2-2-222-2-222-2-2-2-2222-2-200000000000022-2-2-2-222000000000000000000000000
χ24222222222-2-222-2-2-2-222-2-222-2-2-2-2222-2-2000000000000-2-22222-2-2000000000000000000000000
χ25222222222-2-2-2-22222-2-2-2-2-2-22222-222-2-222002200-2-2-2-200000000000000000000000000000000
χ26222222222-2-2-2-22222-2-2-2-2-2-22222-222-2-2-2-200-2-200222200000000000000000000000000000000
χ27222222222-2-2-2-2-2-2-2-222-2-2-2-222222-2-2222-2002-200-2-22200000000000000000000000000000000
χ28222222222-2-2-2-2-2-2-2-222-2-2-2-222222-2-222-2200-220022-2-200000000000000000000000000000000
χ2922222-2-2-2-22-22-20000002-22-22-22-20000002000-200002-200002i−2i2i−2i2i−2i0000002i−2i00000000000000
χ3022222-2-2-2-22-22-20000002-22-22-22-20000002000-200002-20000−2i2i−2i2i−2i2i000000−2i2i00000000000000
χ3122222-2-2-2-22-22-20000002-22-22-22-2000000-200020000-2200002i−2i2i−2i−2i2i000000−2i2i00000000000000
χ3222222-2-2-2-22-22-20000002-22-22-22-2000000-200020000-220000−2i2i−2i2i2i−2i0000002i−2i00000000000000
χ3322222-2-2-2-22-2-220000002-2-22-22-22000002000-20002-2002i−2i2i−2i00002i−2i000000−2i2i00000000000000
χ3422222-2-2-2-22-2-220000002-2-22-22-22000002000-20002-200−2i2i−2i2i0000−2i2i0000002i−2i00000000000000
χ3522222-2-2-2-22-2-220000002-2-22-22-2200000-20002000-22002i−2i2i−2i0000−2i2i0000002i−2i00000000000000
χ3622222-2-2-2-22-2-220000002-2-22-22-2200000-20002000-2200−2i2i−2i2i00002i−2i000000−2i2i00000000000000
χ3722222-2-2-2-2-222-2000000-222-2-22-22000002000-2000-220000002i−2i−2i2i002i−2i0000002i−2i000000000000
χ3822222-2-2-2-2-222-2000000-222-2-22-22000002000-2000-22000000−2i2i2i−2i00−2i2i000000−2i2i000000000000
χ3922222-2-2-2-2-222-2000000-222-2-22-2200000-200020002-20000002i−2i−2i2i00−2i2i000000−2i2i000000000000
χ4022222-2-2-2-2-222-2000000-222-2-22-2200000-200020002-2000000−2i2i2i−2i002i−2i0000002i−2i000000000000
χ4122222-2-2-2-2-22-22000000-22-222-22-20000002000-20000-222i−2i−2i2i0000002i−2i000000−2i2i000000000000
χ4222222-2-2-2-2-22-22000000-22-222-22-20000002000-20000-22−2i2i2i−2i000000−2i2i0000002i−2i000000000000
χ4322222-2-2-2-2-22-22000000-22-222-22-2000000-2000200002-22i−2i−2i2i000000−2i2i0000002i−2i000000000000
χ4422222-2-2-2-2-22-22000000-22-222-22-2000000-2000200002-2−2i2i2i−2i0000002i−2i000000−2i2i000000000000
χ4522-2-222-2-22222222-2-222-2-2-2-222-2-2-22-22-2000000000000000000000000000000002i−2i2i−2i00000000
χ4622-2-222-2-22222222-2-222-2-2-2-222-2-2-22-22-200000000000000000000000000000000−2i2i−2i2i00000000
χ4722-2-222-2-222222-2-222-2-2-2-2-2-222-2-22-22-22000000000000000000000000000000002i−2i−2i2i00000000
χ4822-2-222-2-222222-2-222-2-2-2-2-2-222-2-22-22-2200000000000000000000000000000000−2i2i2i−2i00000000
χ4922-2-222-2-2222-2-222-2-222-2-222-2-222-2-22-2200000000000000000000000000000000000000002-22-2
χ5022-2-222-2-2222-2-222-2-222-2-222-2-222-2-22-220000000000000000000000000000000000000000-22-22
χ5122-2-222-2-2222-2-2-2-222-2-2-2-222-2-22222-22-200000000000000000000000000000000000000002-2-22
χ5222-2-222-2-2222-2-2-2-222-2-2-2-222-2-22222-22-20000000000000000000000000000000000000000-222-2
χ5322-2-222-2-22-2-22222-2-2-2-222-2-2-2-2222-222-2002-2002-2000000000000000022-2-20000000000000000
χ5422-2-222-2-22-2-22222-2-2-2-222-2-2-2-2222-222-200-2200-220000000000000000-2-2220000000000000000
χ5522-2-222-2-22-2-222-2-2222222-2-2-2-222-22-2-22002-2002-20000000000000000-2-2220000000000000000
χ5622-2-222-2-22-2-222-2-2222222-2-2-2-222-22-2-2200-2200-22000000000000000022-2-20000000000000000
χ5722-2-222-2-22-2-2-2-222-2-2-2-2222222-2-222-2-220000000000000000000000000000000000002-22-20000
χ5822-2-222-2-22-2-2-2-222-2-2-2-2222222-2-222-2-22000000000000000000000000000000000000-22-220000
χ5922-2-222-2-22-2-2-2-2-2-22222222222-2-2-2-222-20000000000000000000000000000000000002-2-220000
χ6022-2-222-2-22-2-2-2-2-2-22222222222-2-2-2-222-2000000000000000000000000000000000000-222-20000
χ61444-4-4-44-4400004-44-4000000000000000002200-2-200000000000000002-22-20000000000000000
χ62444-4-4-44-4400004-44-400000000000000000-2-200220000000000000000-22-220000000000000000
χ63444-4-4-44-440000-44-44000000000000000002200-2-20000000000000000-22-220000000000000000
χ64444-4-4-44-440000-44-4400000000000000000-2-2002200000000000000002-22-20000000000000000
χ6544-44-4-4-44400004-4-44000000000000000002-200-2200000000000000002-2-220000000000000000
χ6644-44-4-4-44400004-4-4400000000000000000-22002-20000000000000000-222-20000000000000000
χ6744-44-4-4-4440000-444-4000000000000000002-200-220000000000000000-222-20000000000000000
χ6844-44-4-4-4440000-444-400000000000000000-22002-200000000000000002-2-220000000000000000
χ6944-4-44-444-44-44-4000000-44-444-4-440000000000000000000000000000000000000000000000000
χ7044-4-44-444-44-4-44000000-444-4-444-40000000000000000000000000000000000000000000000000
χ7144-4-44-444-4-444-40000004-4-44-444-40000000000000000000000000000000000000000000000000
χ7244-4-44-444-4-44-440000004-44-44-4-440000000000000000000000000000000000000000000000000
χ73888-8-88-88-80000000000000000000000000000000000000000000000000000000000000000000
χ7488-88-888-8-80000000000000000000000000000000000000000000000000000000000000000000
χ7516-160000000000000008-8000000000000000000000000000000000000000000000000000000000
χ7616-16000000000000000-88000000000000000000000000000000000000000000000000000000000

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