Finite Group Databasebeta

← Group #72283811

Character table — Group #72283811

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11244488888816161616161616161616161616163232323232323232323232323264646464646464646464646464128128128128
order12222222224422224444444444244444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-111-111-1-11111-1-1-1-111-1-1
χ411111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-111-111-1-1-1-1-1-11111-1-111
χ511111111111111-1-1-111111111-1-111-11111111-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ611111111111111-1-1-111111111-1-111-11111111-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii
χ711111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-11-1-111ii−i−i−i−iiii−i−ii
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-11-1-111−i−iiiii−i−i−iii−i
χ9111111111111-1-1111111111-1-1111-11-111-1-1-1-1111-1-1-1-111111111-1-1-1-1
χ10111111111111-1-1111111111-1-1111-11-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ11111111111111-1-1111-1-1-1-1-1-1111-1-11-1-111-1-11111-1-1-1111111-1-1-1-1-1-111
χ12111111111111-1-1111-1-1-1-1-1-1111-1-11-1-111-1-11111-1-1-111-1-1-1-1111111-1-1
χ13111111111111-1-1-1-1-1111111-1-1-1-11-1-1-111-1-1-1-1-1-1-11111ii−i−iii−i−i−ii−ii
χ14111111111111-1-1-1-1-1111111-1-1-1-11-1-1-111-1-1-1-1-1-1-11111−i−iii−i−iiii−ii−i
χ15111111111111-1-1-1-1-1-1-1-1-1-1-111-11-111-111-1-111-1-1111-1-1ii−i−i−i−iii−iii−i
χ16111111111111-1-1-1-1-1-1-1-1-1-1-111-11-111-111-1-111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ17222222222222002222222-2-20022-2020-2-20000-2-2-20000000000000000
χ1822222222222200222-2-2-2-222002-220-20-2-20000-2-220000000000000000
χ1922222222222200-2-2-22222-2-200-2-2-20-20-2-200002220000000000000000
χ2022222222222200-2-2-2-2-2-2-22200-222020-2-2000022-20000000000000000
χ21222222-2-222-2-2002-2-2000000222002002-200-2-22-20002-2000000000000
χ22222222-2-222-2-2002-2-2000000-2-2200-2002-200222-2000-22000000000000
χ23222222-2-222-2-200-22200000022-2002002-200-2-2-22000-22000000000000
χ24222222-2-222-2-200-222000000-2-2-200-2002-20022-220002-2000000000000
χ25222222-2-222-2-2222-2-200000000200002-22-2-200-2202-200000000000000
χ26222222-2-222-2-222-22200000000-200002-22-2-2002-20-2200000000000000
χ27222222-2-222-2-2-2-22-2-20000000020000-2-222200-220-2200000000000000
χ28222222-2-222-2-2-2-2-22200000000-20000-2-2222002-202-200000000000000
χ2944444444-4-4-4-40000044-4-400000000000000000000000000000000000
χ3044444444-4-4-4-400000-4-44400000000000000000000000000000000000
χ31444444-4-4-4-444000000000440000-40000000000000000000000000000
χ32444444-4-4-4-444000000000-4-4000040000000000000000000000000000
χ334444-4-4004-4000004-400000000000000000000000000000002-22-20000
χ344444-4-4004-4000004-40000000000000000000000000000000-22-220000
χ354444-4-4004-400000-4400000000000000000000000000000002i−2i−2i2i0000
χ364444-4-4004-400000-440000000000000000000000000000000−2i2i2i−2i0000
χ374444-4-400-44000040000000000-40000000000000000002i−2i2i−2i00000000
χ384444-4-400-44000040000000000-4000000000000000000−2i2i−2i2i00000000
χ394444-4-400-440000-4000000000040000000000000000002-2-2200000000
χ404444-4-400-440000-400000000004000000000000000000-222-200000000
χ41444-4-444-4000022000004-40022000-20-2002-22-20000000000000000000
χ42444-4-444-400002200000-4400-2-200020-2002-2-220000000000000000000
χ43444-4-444-40000-2-2000004-400-2-200020200-22-220000000000000000000
χ44444-4-444-40000-2-200000-440022000-20200-222-20000000000000000000
χ45444-4-44-440000220004-4000022000-20-200-22-220000000000000000000
χ46444-4-44-44000022000-440000-2-200020-200-222-20000000000000000000
χ47444-4-44-440000-2-20004-40000-2-2000202002-22-20000000000000000000
χ48444-4-44-440000-2-2000-44000022000-202002-2-220000000000000000000
χ49888-88-800000000000000000000400-400000000000000000000000000
χ50888-88-800000000000000000000-400400000000000000000000000000
χ511616-1600000008-800000000000000000000000000000000000000000000
χ521616-160000000-8800000000000000000000000000000000000000000000
χ5316-1600000000004-400000004i−4i4i−4i0000000000000000000000000000000
χ5416-1600000000004-40000000−4i4i−4i4i0000000000000000000000000000000
χ5516-160000000000-4400000004i−4i−4i4i0000000000000000000000000000000
χ5616-160000000000-440000000−4i4i4i−4i0000000000000000000000000000000

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