Finite Group Databasebeta

← Group #72341153

Character table — Group #72341153

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11244488888816161616161616161616161616163232323232323232323232323264646464646464646464646464128128128128
order12222222224422224444444444244444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-11111-1-11111-11-111-1-1-1-1111-1-1-1-111111111-1-1-1-1
χ41111111111111111-1-11111-1-11111-11-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ611111111111111-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ9111111111111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-111-1-111-1-111-1-11-11-1
χ10111111111111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-111-1-1-1-111-1-111-11-11
χ11111111111111-1-111-1-1-1-1-1-11111-1-11-1-111-1-11111-1-1-11111-1-111-1-1-11-11
χ12111111111111-1-111-1-1-1-1-1-11111-1-11-1-111-1-11111-1-1-111-1-111-1-1111-11-1
χ13111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-1-11-1-111ii−i−i−i−iiii−i−ii
χ14111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-1-11-1-111−i−iiiii−i−i−iii−i
χ15111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-111-1-1111-1-1ii−i−i−i−iii−iii−i
χ16111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ17222222222222222200-2-2-2-20022-2-2020-2-20000-2-220000000000000000
χ1822222222222222-2-200-2-2-2-200-2-222020-2-2000022-20000000000000000
χ19222222222222-2-2220022220022220-20-2-20000-2-2-20000000000000000
χ20222222222222-2-2-2-200222200-2-2-2-20-20-2-200002220000000000000000
χ21222222-2-222-2-2002-2000000222-2002002-200-2-22-20002-2000000000000
χ22222222-2-222-2-2002-2000000-2-22-200-2002-200222-2000-22000000000000
χ23222222-2-222-2-2002-2220000002-200002-22-2-200-2202-200000000000000
χ24222222-2-222-2-2002-2-2-20000002-20000-2-222200-220-2200000000000000
χ25222222-2-222-2-200-2200000022-22002002-200-2-2-22000-22000000000000
χ26222222-2-222-2-200-22000000-2-2-2200-2002-20022-220002-2000000000000
χ27222222-2-222-2-200-2222000000-2200002-22-2-2002-20-2200000000000000
χ28222222-2-222-2-200-22-2-2000000-220000-2-2222002-202-200000000000000
χ2944444444-4-4-4-444000000000000000-400000000000000000000000000
χ3044444444-4-4-4-4-4-4000000000000000400000000000000000000000000
χ31444444-4-4-4-44400000044-4-40000000000000000000000000000000000
χ32444444-4-4-4-444000000-4-4440000000000000000000000000000000000
χ334444-4-4004-4000004000000000-40000000000000000002i−2i002i−2i000000
χ344444-4-4004-4000004000000000-4000000000000000000−2i2i00−2i2i000000
χ354444-4-4004-400000-400000000040000000000000000002-200-22000000
χ364444-4-4004-400000-40000000004000000000000000000-22002-2000000
χ374444-4-400-4400004000000000-40000000000000000000002i−2i002i−2i0000
χ384444-4-400-4400004000000000-4000000000000000000000−2i2i00−2i2i0000
χ394444-4-400-440000-400000000040000000000000000000002-200-220000
χ404444-4-400-440000-40000000004000000000000000000000-22002-20000
χ41444-4-4400004-4000022004-4220000-20-2002-22-20000000000000000000
χ42444-4-4400004-400002200-44-2-2000020-2002-2-220000000000000000000
χ43444-4-4400004-40000-2-2004-4-2-2000020200-22-220000000000000000000
χ44444-4-4400004-40000-2-200-44220000-20200-222-20000000000000000000
χ45444-4-440000-440000224-400220000-20-200-22-220000000000000000000
χ46444-4-440000-44000022-4400-2-2000020-200-222-20000000000000000000
χ47444-4-440000-440000-2-24-400-2-20000202002-22-20000000000000000000
χ48444-4-440000-440000-2-2-4400220000-202002-2-220000000000000000000
χ49888-88-8000000000000000000004-40000000000000000000000000000
χ50888-88-800000000000000000000-440000000000000000000000000000
χ511616-160008-8000000000000000000000000000000000000000000000000
χ521616-16000-88000000000000000000000000000000000000000000000000
χ5316-1600000000004-4004i−4i00004i−4i00000000000000000000000000000000
χ5416-1600000000004-400−4i4i0000−4i4i00000000000000000000000000000000
χ5516-160000000000-44004i−4i0000−4i4i00000000000000000000000000000000
χ5616-160000000000-4400−4i4i00004i−4i00000000000000000000000000000000

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