Finite Group Databasebeta

← Group #72314665

Character table — Group #72314665

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size112222222444444888888888881616161616161616323232323232323232323232323232323232323232323232
order1222222222222222222222444422444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-1111-1-111-1-1-1-111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-1111-1-111-1-1-1-111111-1-111-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-111
χ111111-1-1-1-1111-1-111-1-1-1-111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111
χ121111-1-1-1-1111-1-111-1-1-1-111111-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1
χ131111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-111-1-111
χ141111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1
χ151111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ161111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-1-1-111
χ1722222222222222222-2-22-2-2-2-2-2-200000000000000002-22-2000000000000
χ1822222222222222222-2-22-2-2-2-2-2-20000000000000000-22-22000000000000
χ1922222222222-2-2-2-22-222-222-2-2-2-200000000000000000000000000002i−2i2i−2i
χ2022222222222-2-2-2-22-222-222-2-2-2-20000000000000000000000000000−2i2i−2i2i
χ2122222222222-2-2-2-22-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000
χ2222222222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000
χ23222222222-2-22222-2-22-2-22-22-22-20000000000002-22-20000000000000000
χ24222222222-2-22222-2-22-2-22-22-22-2000000000000-22-220000000000000000
χ25222222222-2-22222-2-2-22-2-22-22-22000000002-22-200000000000000000000
χ26222222222-2-22222-2-2-22-2-22-22-2200000000-22-2200000000000000000000
χ27222222222-2-2-2-2-2-2-222-222-2-22-22000000000000000000002i−2i2i−2i00000000
χ28222222222-2-2-2-2-2-2-222-222-2-22-2200000000000000000000−2i2i−2i2i00000000
χ29222222222-2-2-2-2-2-2-22-222-222-22-20000000000000000000000002i−2i2i−2i0000
χ30222222222-2-2-2-2-2-2-22-222-222-22-2000000000000000000000000−2i2i−2i2i0000
χ312222-2-2-2-222222-2-2-2222-2-2-222-2-222-2-2-2-222000000000000000000000000
χ322222-2-2-2-222222-2-2-2222-2-2-222-2-2-2-22222-2-2000000000000000000000000
χ332222-2-2-2-222222-2-2-22-2-2-222-2-22200000000000000000000000000002i−2i−2i2i
χ342222-2-2-2-222222-2-2-22-2-2-222-2-2220000000000000000000000000000−2i2i2i−2i
χ352222-2-2-2-2222-2-222-2-2222-2-2-2-22200000000000000002-2-22000000000000
χ362222-2-2-2-2222-2-222-2-2222-2-2-2-2220000000000000000-222-2000000000000
χ372222-2-2-2-22-2-222-2-22-22-22-222-2-220000000000000000000000002i−2i−2i2i0000
χ382222-2-2-2-22-2-222-2-22-22-22-222-2-22000000000000000000000000−2i2i2i−2i0000
χ392222-2-2-2-22-2-222-2-22-2-2222-2-222-2000000000000000000002i−2i−2i2i00000000
χ402222-2-2-2-22-2-222-2-22-2-2222-2-222-200000000000000000000−2i2i2i−2i00000000
χ412222-2-2-2-22-2-2-2-222222-2-2-22-222-2000000002-2-2200000000000000000000
χ422222-2-2-2-22-2-2-2-222222-2-2-22-222-200000000-222-200000000000000000000
χ432222-2-2-2-22-2-2-2-22222-22-22-22-2-220000000000002-2-220000000000000000
χ442222-2-2-2-22-2-2-2-22222-22-22-22-2-22000000000000-222-20000000000000000
χ4544-4-444-4-44004-44-4000000000002-22-22-22-2000000000000000000000000
χ4644-4-444-4-44004-44-400000000000-22-22-22-22000000000000000000000000
χ4744-4-444-4-4400-44-44000000000002-22-2-22-22000000000000000000000000
χ4844-4-444-4-4400-44-4400000000000-22-222-22-2000000000000000000000000
χ4944-4-4-4-4444004-4-44000000000002-2-22-222-2000000000000000000000000
χ5044-4-4-4-4444004-4-4400000000000-222-22-2-22000000000000000000000000
χ5144-4-4-4-444400-444-4000000000002-2-222-2-22000000000000000000000000
χ5244-4-4-4-444400-444-400000000000-222-2-222-2000000000000000000000000
χ53888-88-88-8-80000000000000000000000000000000000000000000000000
χ54888-8-88-88-80000000000000000000000000000000000000000000000000
χ5588-888-8-88-80000000000000000000000000000000000000000000000000
χ5688-88-888-8-80000000000000000000000000000000000000000000000000
χ5716-1600000008-800000000000000000000000000000000000000000000000
χ5816-160000000-8800000000000000000000000000000000000000000000000

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