Finite Group Databasebeta

← Group #72341175

Character table — Group #72341175

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size112224444888881616161616161616161616163232323232323232323232323232323264646464
order1222222222222222244444444444444444444444448888
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ3111111111111111-1-11-1-11111111-1-11111-1-11-1-11111-1-1-1-1
χ4111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111
χ511111111111111-11-1-11-111-1-111-11-111111-1-11-1-1-1-1-111-1-1
χ611111111111111-11-1-11-111-1-111-11-1-1-1-1-11-1-11-11111-1-111
χ711111111111111-1-11-1-1111-1-111-1-111111-11-1-11-1-1-1-1-1-111
χ811111111111111-1-11-1-1111-1-111-1-11-1-1-1-1-11-1-11111111-1-1
χ911111-1-1111-1-1-11111111-1-1-1-111-1-1-111-1-1111-1-111-1-11-11-1
χ1011111-1-1111-1-1-11111111-1-1-1-111-1-1-1-1-111111-1-1-1-111-11-11
χ1111111-1-1111-1-1-111-1-11-1-1-1-1-1-111-11111-1-1-1-111111-1-1-11-11
χ1211111-1-1111-1-1-111-1-11-1-1-1-1-1-111-111-1-111-1-1111-1-1111-11-1
χ1311111-1-1111-1-1-11-11-1-11-1-1-111111-1111-1-11-1-1-11-1-1111-1-11
χ1411111-1-1111-1-1-11-11-1-11-1-1-111111-11-1-1111-1-1-1111-1-1-111-1
χ1511111-1-1111-1-1-11-1-11-1-11-1-1111111-111-1-1-11-11-1-1-111-111-1
χ1611111-1-1111-1-1-11-1-11-1-11-1-1111111-1-1-111-11-11-111-1-11-1-11
χ1722222222222222200200-2-2-2-2-2-2200000000-20000000000
χ1822222222222222-200-200-2-222-2-2-20000000020000000000
χ19222222222-22-2-2-20020022-2002-200200000-200-200000000
χ20222222222-22-2-2-200-200-22-2002-200-200000200200000000
χ21222222222-22-2-2-2020020-2200-220200000-200-2000000000
χ22222222222-22-2-2-20-200-20-2200-220-2000002002000000000
χ2322222-2-2222-2-2-222002002222-2-2-200000000-20000000000
χ2422222-2-2222-2-2-22-200-20022-2-2-2-220000000020000000000
χ2522222-2-222-2-222-2002002-22002-200-200000-200200000000
χ2622222-2-222-2-222-200-200-2-22002-200200000200-200000000
χ2722222-2-222-2-222-20200202-200-220-200000-2002000000000
χ2822222-2-222-2-222-20-200-202-200-220200000200-2000000000
χ294444444-4-40-40000000000000000002-22-20000000000000
χ304444444-4-40-4000000000000000000-22-220000000000000
χ3144444-4-4-4-4040000000000000000002-2-220000000000000
χ3244444-4-4-4-404000000000000000000-222-20000000000000
χ33444-4-4004-44000-4400-40000000000000000000000000000
χ34444-4-4004-44000-4-40040000000000000000000000000000
χ35444-4-4004-4-40004000000004i−4i0000000000000000000000
χ36444-4-4004-4-4000400000000−4i4i0000000000000000000000
χ37444-4-400-44004-400000000000000000000000002i−2i2i−2i0000
χ38444-4-400-44004-40000000000000000000000000−2i2i−2i2i0000
χ39444-4-400-4400-4400000000000000000000000002i−2i−2i2i0000
χ40444-4-400-4400-440000000000000000000000000−2i2i2i−2i0000
χ4188-88-800000000000400-400000000000000000000000000
χ4288-88-800000000000-400400000000000000000000000000
χ4388-8-880000000000400-4000000000000000000000000000
χ4488-8-880000000000-4004000000000000000000000000000
χ4516-160008-8000000000000000000000000000000000000000
χ4616-16000-88000000000000000000000000000000000000000

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