Finite Group Databasebeta

← Group #72338770

Character table — Group #72338770

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11244488888816161616161616161616161616163232323232323232323232323264646464646464646464646464128128128128
order12222222224422222222224444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-1111-1-1111111-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ411111111111111111111-1-111-1-1111-1-1111111-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ51111111111111111-1-1-1-11111111-1-11111-1-1-1-1111-1-1-1-111111111-1-1-1-1
χ61111111111111111-1-1-1-11111111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-1-1-111-1-11-1-1-1-111-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ81111111111111111-1-1-1-1-1-111-1-11-1-1-1-111-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ9111111111111-1-1-1-111-1-111-1-111-11-1-1-11111-1-111-111-1-111-1-111-1-11-11-1
χ10111111111111-1-1-1-111-1-111-1-111-11-1-1-11111-1-111-111-1-1-1-111-1-111-11-11
χ11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111111-1-1-1-11-1-111ii−i−i−i−iiii−i−ii
χ12111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111111-1-1-1-11-1-111−i−iiiii−i−i−iii−i
χ13111111111111-1-1-1-1-1-11111-1-111-1-11-1-111-1-11111-1-1-11111-1-111-1-1-11-11
χ14111111111111-1-1-1-1-1-11111-1-111-1-11-1-111-1-11111-1-1-111-1-111-1-1111-11-1
χ15111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1ii−i−i−i−iii−iii−i
χ16111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ1722222222222222-2-20000222222-20022-2-20000-2-2-20000000000000000
χ1822222222222222-2-20000-2-222-2-2-200-2-2-2-200002220000000000000000
χ19222222222222-2-222000022-2-222200-2-2-2-20000-2-220000000000000000
χ20222222222222-2-2220000-2-2-2-2-2-220022-2-2000022-20000000000000000
χ21222222-2-222-2-2000000222-2002-2002002-200-2-22-20002-2000000000000
χ22222222-2-222-2-200000022-2200-22002002-200-2-2-22000-22000000000000
χ23222222-2-222-2-2000000-2-22-2002-200-2002-200222-2000-22000000000000
χ24222222-2-222-2-2000000-2-2-2200-2200-2002-20022-220002-2000000000000
χ25222222-2-222-2-2000022002-2002-202000-22-2-200-2202-200000000000000
χ26222222-2-222-2-200002200-2200-2202000-22-2-2002-20-2200000000000000
χ27222222-2-222-2-20000-2-2002-2002-20-2000-222200-220-2200000000000000
χ28222222-2-222-2-20000-2-200-2200-220-2000-2222002-202-200000000000000
χ2944444444-4-4-4-400440000000000-400000000000000000000000000000
χ3044444444-4-4-4-400-4-40000000000400000000000000000000000000000
χ31444444-4-4-4-4444-4000000004-400000000000000000000000000000000
χ32444444-4-4-4-444-4400000000-4400000000000000000000000000000000
χ334444-4-4004-4000000000004000-40000000000000000002i−2i002i−2i000000
χ344444-4-4004-4000000000004000-4000000000000000000−2i2i00−2i2i000000
χ354444-4-4004-400000000000-400040000000000000000002-200-22000000
χ364444-4-4004-400000000000-40004000000000000000000-22002-2000000
χ374444-4-400-4400000000004000-40000000000000000000002i−2i002i−2i0000
χ384444-4-400-4400000000004000-4000000000000000000000−2i2i00−2i2i0000
χ394444-4-400-440000000000-400040000000000000000000002-200-220000
χ404444-4-400-440000000000-40004000000000000000000000-22002-20000
χ41444-4-4400004-404002222000-4000-2-200002-22-20000000000000000000
χ42444-4-4400004-40400-2-2-2-2000-4000220000-22-220000000000000000000
χ43444-4-4400004-40-40022-2-20004000-2200002-2-220000000000000000000
χ44444-4-4400004-40-400-2-22200040002-20000-222-20000000000000000000
χ45444-4-440000-444000222200-40000-2-20000-22-220000000000000000000
χ46444-4-440000-444000-2-2-2-200-400002200002-22-20000000000000000000
χ47444-4-440000-44-400022-2-20040000-220000-222-20000000000000000000
χ48444-4-440000-44-4000-2-22200400002-200002-2-220000000000000000000
χ49888-88-8000000000000000000000004-40000000000000000000000000
χ50888-88-800000000000000000000000-440000000000000000000000000
χ511616-160008-8000000000000000000000000000000000000000000000000
χ521616-16000-88000000000000000000000000000000000000000000000000
χ5316-160000000000004-44-44-4000000000000000000000000000000000000
χ5416-160000000000004-4-44-44000000000000000000000000000000000000
χ5516-16000000000000-444-4-44000000000000000000000000000000000000
χ5616-16000000000000-44-444-4000000000000000000000000000000000000

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