Finite Group Databasebeta

← Group #72338987

Character table — Group #72338987

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size1124448816161616161616161616161632323232323232323264646464646464646464646464646464128128128128128128128128128128128128256256256256
order1222224422222222224422444444444448888888888884444444444448888
χ11111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ511111111111-1-1-1-11111111111-1-1111-1-1111111111-1-1-1-111-1-1111111-1-1-1-1-1-1
χ611111111111-1-1-1-11111111111-1-1111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111
χ711111111111-1-1-1-11111111111-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ811111111111-1-1-1-11111111111-1-1111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ9111111111-1-111-1-11-1-1-1-11-11-1-11-11111-1-11111ii−i−iii−i−i-1-11-1ii−i−ii−ii−i1-1i−i
χ10111111111-1-111-1-11-1-1-1-11-11-1-11-11111-1-11111−i−iii−i−iii-1-11-1−i−iii−ii−ii1-1−ii
χ11111111111-1-111-1-11-1-1-1-11-11-1-11-11111-1-1-1-1-1-1ii−i−iii−i−i111-1−i−iiii−ii−i-11−ii
χ12111111111-1-111-1-11-1-1-1-11-11-1-11-11111-1-1-1-1-1-1−i−iii−i−iii111-1ii−i−i−ii−ii-11i−i
χ13111111111-1-1-1-1111-1-1-1-11-11-1-1-11111-11-11111ii−i−i−i−iii-1-1-11ii−i−ii−i−ii-11−ii
χ14111111111-1-1-1-1111-1-1-1-11-11-1-1-11111-11-11111−i−iiiii−i−i-1-1-11−i−iii−iii−i-11i−i
χ15111111111-1-1-1-1111-1-1-1-11-11-1-1-11111-11-1-1-1-1-1ii−i−i−i−iii11-11−i−iiii−i−ii1-1i−i
χ16111111111-1-1-1-1111-1-1-1-11-11-1-1-11111-11-1-1-1-1-1−i−iiiii−i−i11-11ii−i−i−iii−i1-1−ii
χ17222222222220000222-2-22-222200-2-2-200-2000000002i2i−2i−2i0000000000−2i2i0000
χ18222222222220000222-2-22-222200-2-2-200-200000000−2i−2i2i2i00000000002i−2i0000
χ192222222222200002-2-2-2-2-2-2-22-200-2-2200200002i2i−2i−2i000000000000−2i2i000000
χ202222222222200002-2-2-2-2-2-2-22-200-2-220020000−2i−2i2i2i0000000000002i−2i000000
χ212222222222222222-2-222-22-22-22222-222-200000000000000-2-2000000000000
χ2222222222222-2-2-2-22-2-222-22-22-2-2-222-2-2-2-20000000000000022000000000000
χ23222222222-2-2000022222-22-2-2200-2-2200-200002222000000000000-2-2000000
χ24222222222-2-2000022222-22-2-2200-2-2200-20000-2-2-2-200000000000022000000
χ25222222222-2-200002-2-222222-2-200-2-2-20020000000022220000000000-2-20000
χ26222222222-2-200002-2-222222-2-200-2-2-200200000000-2-2-2-20000000000220000
χ27222222222-2-222-2-2222-2-2-2-2-2-222-222-22-2200000000000000-22000000000000
χ28222222222-2-2-2-222222-2-2-2-2-2-22-2222-2-222000000000000002-2000000000000
χ2944444444-4000000-400440-40000000000022-2-2000000002-200000000000000
χ3044444444-4000000-400440-400000000000-2-22200000000-2200000000000000
χ3144444444-4000000-400-4-4040000000000022-2-200000000-2200000000000000
χ3244444444-4000000-400-4-40400000000000-2-222000000002-200000000000000
χ33444444-4-4-40000444000000000044-400-400000000000000000000000000000
χ34444444-4-4-40000-4-440000000000-44-400400000000000000000000000000000
χ35444444-4-4-4004400400000000040-440-4000000000000000000000000000000
χ36444444-4-4-400-4-4004000000000-40-4404000000000000000000000000000000
χ37888888-8-88000000-8000000000000000000000000000000000000000000000
χ388888-8-80000000000000040-40000000000004i−4i000000000000000000000000
χ398888-8-80000000000000040-4000000000000−4i4i000000000000000000000000
χ408888-8-800000000000000-40400000000004i−4i00000000000000000000000000
χ418888-8-800000000000000-4040000000000−4i4i00000000000000000000000000
χ42888-88-8000000000044000000-40000000000000000000000002-22-200000000
χ43888-88-8000000000044000000-4000000000000000000000000-22-2200000000
χ44888-88-80000000000-4-400000040000000000000000000000002i−2i−2i2i00000000
χ45888-88-80000000000-4-40000004000000000000000000000000−2i2i2i−2i00000000
χ46888-8-8800044444400000000-40-4-40000000000000000000000000000000000
χ47888-8-8800044-4-4-4-400000000-40440000000000000000000000000000000000
χ48888-8-88000-4-444-4-40000000040-440000000000000000000000000000000000
χ49888-8-88000-4-4-4-44400000000404-40000000000000000000000000000000000
χ501616-160008-8000000008-80000000000000000000000000000000000000000000
χ511616-160008-800000000-880000000000000000000000000000000000000000000
χ521616-16000-8808-800000000000000000000000000000000000000000000000000
χ531616-16000-880-8800000000000000000000000000000000000000000000000000
χ5416-160000000004-44-40004-4000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ5516-160000000004-44-40004-400000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ5616-160000000004-4-44000-44000000000000000002-2-222-2-220000000000000000
χ5716-160000000004-4-44000-4400000000000000000-222-2-222-20000000000000000
χ5816-16000000000-444-4000-44000000000000000002-2-22-222-20000000000000000
χ5916-16000000000-444-4000-4400000000000000000-222-22-2-220000000000000000
χ6016-16000000000-44-440004-4000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ6116-16000000000-44-440004-400000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000

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