Finite Group Databasebeta

← Group #72321539

Character table — Group #72321539

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11222444444448888888161616161616161616161616161632323232323232323232323232326464646464646464646464646464646464646464
order12222222222222224444222222444444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-11-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-1-1-11-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-11-1-1-11-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ91111111-1-11111-1-1-111111-111-1-1-111-1-1-1-111-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ101111111-1-11111-1-1-111111-111-1-1-111-1-1-1-111-111-1-111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-111
χ111111111-1-11111-1-1-111111-111-1-1-111-1-1-1-111-111-1-1-1-11111-1-1-11-1-11-111-1-11111-1-1-1-111
χ121111111-1-11111-1-1-111111-111-1-1-111-1-1-1-111-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1
χ131111111-1-11111-1-1-111111-1-1-111-111-1-1-1-11-11-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111
χ141111111-1-11111-1-1-111111-1-1-111-111-1-1-1-11-11-1-11111-1-1-1-1111-1-1-1-1111-1-11111-1-111-1-1
χ151111111-1-11111-1-1-111111-1-1-111-111-1-1-1-11-11-1-111-1-11111-1-1-11-1-11-11111-1-1-1-11111-1-1
χ161111111-1-11111-1-1-111111-1-1-111-111-1-1-1-11-11-1-111-1-111-1-111-1-11111-1-111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-20000-22-222-2-2-2000000000022220-2000-200000000000000
χ18222222222222222222-2-2-2-20000-22-222-2-2-20000000000-2-2-2-202000200000000000000
χ192222222222222222-2-222-2-20000-2-22-2-222-200000022220000-2000-2000000000000000
χ202222222222222222-2-222-2-20000-2-22-2-222-2000000-2-2-2-2000020002000000000000000
χ212222222222222222-2-2-2-22200002-2-2-2-2-2-2200000000000000002-2002-2000000000000
χ222222222222222222-2-2-2-22200002-2-2-2-2-2-220000000000000000-2200-22000000000000
χ23222222222-2-2-2-22-2-22222220000-2-2-22-22-2-20000000000000000000000000000002i−2i2i−2i
χ24222222222-2-2-2-22-2-22222220000-2-2-22-22-2-2000000000000000000000000000000−2i2i−2i2i
χ25222222222-2-2-2-22-2-222-2-2-2-200002-222-2-22200000000000000000000002i−2i2i−2i00000000
χ26222222222-2-2-2-22-2-222-2-2-2-200002-222-2-2220000000000000000000000−2i2i−2i2i00000000
χ27222222222-2-2-2-22-2-2-2-222-2-2000022-2-222-22000000000000000000000000002i−2i2i−2i0000
χ28222222222-2-2-2-22-2-2-2-222-2-2000022-2-222-2200000000000000000000000000−2i2i−2i2i0000
χ29222222222-2-2-2-22-2-2-2-2-2-2222222-222-22-22-222-2-2-2-20000000000000000000000000000
χ30222222222-2-2-2-22-2-2-2-2-2-222-2-2-2-2-222-22-22-2-2-222220000000000000000000000000000
χ312222222-2-22222-2-2-222-2-2-22000022-2-2-222-2000000000022-2-20-2000200000000000000
χ322222222-2-22222-2-2-222-2-2-22000022-2-2-222-20000000000-2-22202000-200000000000000
χ332222222-2-22222-2-2-2-2-222-2200002-2222-2-2-200000022-2-20000-20002000000000000000
χ342222222-2-22222-2-2-2-2-222-2200002-2222-2-2-2000000-2-22200002000-2000000000000000
χ352222222-2-22222-2-2-2-2-2-2-22-20000-2-2-22222200000000000000002-200-22000000000000
χ362222222-2-22222-2-2-2-2-2-2-22-20000-2-2-2222220000000000000000-22002-2000000000000
χ372222222-2-2-2-2-2-2-22222222-200002-2-2-22-22-20000000000000000000000000000002i−2i−2i2i
χ382222222-2-2-2-2-2-2-22222222-200002-2-2-22-22-2000000000000000000000000000000−2i2i2i−2i
χ392222222-2-2-2-2-2-2-22222-2-2-220000-2-22-222-2200000000000000000000002i−2i−2i2i00000000
χ402222222-2-2-2-2-2-2-22222-2-2-220000-2-22-222-220000000000000000000000−2i2i2i−2i00000000
χ412222222-2-2-2-2-2-2-222-2-222-220000-22-22-2-222000000000000000000000000002i−2i−2i2i0000
χ422222222-2-2-2-2-2-2-222-2-222-220000-22-22-2-22200000000000000000000000000−2i2i2i−2i0000
χ432222222-2-2-2-2-2-2-222-2-2-2-22-222-2-22222-22-2-22-2-2-2220000000000000000000000000000
χ442222222-2-2-2-2-2-2-222-2-2-2-22-2-2-2222222-22-2-2-2222-2-20000000000000000000000000000
χ4544444-4-4444-44-4-44-4000000222200000000-2-22-22-20000000000000000000000000000
χ4644444-4-4444-44-4-44-4000000-2-2-2-20000000022-22-220000000000000000000000000000
χ4744444-4-444-44-44-4-44000000222200000000-2-2-22-220000000000000000000000000000
χ4844444-4-444-44-44-4-44000000-2-2-2-200000000222-22-20000000000000000000000000000
χ4944444-4-4-4-44-44-44-4400000022-2-200000000-222-2-220000000000000000000000000000
χ5044444-4-4-4-44-44-44-44000000-2-222000000002-2-222-20000000000000000000000000000
χ5144444-4-4-4-4-44-4444-400000022-2-200000000-22-222-20000000000000000000000000000
χ5244444-4-4-4-4-44-4444-4000000-2-222000000002-22-2-220000000000000000000000000000
χ53888-8-88-8000000000008i−8i000000000000000000000000000000000000000000000000
χ54888-8-88-800000000000−8i8i000000000000000000000000000000000000000000000000
χ55888-8-8-880000000008i−8i00000000000000000000000000000000000000000000000000
χ56888-8-8-88000000000−8i8i00000000000000000000000000000000000000000000000000
χ5788-88-80000080-80000000000000000000000000000000004i−4i00000000000000000000
χ5888-88-80000080-8000000000000000000000000000000000−4i4i00000000000000000000
χ5988-88-800000-80800000000000000000000000000000004-40000000000000000000000
χ6088-88-800000-8080000000000000000000000000000000-440000000000000000000000
χ6188-8-88000080-80000000000000000000000000000004i−4i000000000000000000000000
χ6288-8-88000080-8000000000000000000000000000000−4i4i000000000000000000000000
χ6388-8-880000-80800000000000000000000000000004-400000000000000000000000000
χ6488-8-880000-8080000000000000000000000000000-4400000000000000000000000000
χ6516-16000008-800000000000004-44-4000000000000000000000000000000000000000000
χ6616-16000008-80000000000000-44-44000000000000000000000000000000000000000000
χ6716-1600000-8800000000000004-4-44000000000000000000000000000000000000000000
χ6816-1600000-880000000000000-444-4000000000000000000000000000000000000000000

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