Finite Group Databasebeta

← Group #72237537

Character table — Group #72237537

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1122244444444888888888888888888888888888161616163232323232326464646464646464
order1222222224444222222222222222224444444444244444888844888888
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1i−iiii−i−i−i
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−ii−i−i−iiii
χ51111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−i−i−iii
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−ii−iiii−i−i
χ91111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-11-1-11-1
χ101111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11-111-11
χ111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111i−i−ii−ii−ii
χ121111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111−iii−ii−ii−i
χ131111111-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-11-1-11
χ141111111-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-111-1
χ151111111-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1i−i−i−iiii−i
χ161111111-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1−iiii−i−i−ii
χ172222222222222-2-2-2-22-2-2-2-200000000220000000022-2-22-2000000000000
χ182222222222222-2-2-2-22-2-2-2-2000000002200000000-2-222-22000000000000
χ192222222-2-22222-2-2-2-2-2222200000000-2-20000000022-2-2-22000000000000
χ202222222-2-22222-2-2-2-2-2222200000000-2-200000000-2-2222-2000000000000
χ2122222-2-200-2-22222-2-200000000022-2-200000022-2-22-22-200002-200000000
χ2222222-2-200-2-22222-2-200000000022-2-200000022-2-2-22-220000-2200000000
χ2322222-2-200-2-22222-2-2000000000-2-222000000-2-2222-22-20000-2200000000
χ2422222-2-200-2-22222-2-2000000000-2-222000000-2-222-22-2200002-200000000
χ2522222-2-200-2-222-2-2220000022-2-200000022-2-200002-2-22002-20000000000
χ2622222-2-200-2-222-2-2220000022-2-200000022-2-20000-222-200-220000000000
χ2722222-2-200-2-222-2-22200000-2-222000000-2-22200002-2-2200-220000000000
χ2822222-2-200-2-222-2-22200000-2-222000000-2-2220000-222-2002-20000000000
χ29444444444-4-4-4-400004000000000000-4-400000000000000000000000000
χ304444444-4-4-4-4-4-40000-40000000000004400000000000000000000000000
χ3144444-4-40044-4-40000044-4-4000000000000000000000000000000000000
χ3244444-4-40044-4-400000-4-444000000000000000000000000000000000000
χ33444-4-40000004-4004-400000004-4000000004-40000000000000000000000
χ34444-4-40000004-4004-40000000-4400000000-440000000000000000000000
χ35444-4-40000004-400-44000004-4000000004-4000000000000000000000000
χ36444-4-40000004-400-4400000-4400000000-44000000000000000000000000
χ37444-4-4000000-444-400000000000004-4000000004-4000000000000000000
χ38444-4-4000000-444-40000000000000-4400000000-44000000000000000000
χ39444-4-4000000-44-44000000000004-4000000004-400000000000000000000
χ40444-4-4000000-44-4400000000000-4400000000-4400000000000000000000
χ4144-44-400004-40000000004-42-22-22-22-200-22-22-22-22000000000000000000
χ4244-44-400004-40000000004-4-22-22-22-22002-22-22-22-2000000000000000000
χ4344-44-400004-4000000000-442-22-2-22-2200-22-222-22-2000000000000000000
χ4444-44-400004-4000000000-44-22-222-22-2002-22-2-22-22000000000000000000
χ4544-44-40000-4400000004-4002-2-222-2-2200-222-2-222-2000000000000000000
χ4644-44-40000-4400000004-400-222-2-222-2002-2-222-2-22000000000000000000
χ4744-44-40000-440000000-44002-2-22-222-200-222-22-2-22000000000000000000
χ4844-44-40000-440000000-4400-222-22-2-22002-2-22-222-2000000000000000000
χ4944-4-444-400000000000000022-2-222-2-24-4-2-222-2-222000000000000000000
χ5044-4-444-400000000000000022-2-2-2-222-44-2-22222-2-2000000000000000000
χ5144-4-444-4000000000000000-2-22222-2-2-4422-2-2-2-222000000000000000000
χ5244-4-444-4000000000000000-2-222-2-2224-422-2-222-2-2000000000000000000
χ5344-4-44-444400000000-400002222222200-2-2-2-2-2-2-2-2000000000000000000
χ5444-4-44-444400000000-40000-2-2-2-2-2-2-2-20022222222000000000000000000
χ5544-4-44-44-4-400000000400002222-2-2-2-200-2-2-2-22222000000000000000000
χ5644-4-44-44-4-40000000040000-2-2-2-22222002222-2-2-2-2000000000000000000
χ5716-16000008-80000000000000000000000000000000000000000000000000
χ5816-1600000-880000000000000000000000000000000000000000000000000

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