Finite Group Databasebeta

← Group #30635

Character table — Group #30635

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244442244444488888888444444444488884444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11-1-11
χ511111111111111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-1-1-11111-11
χ611111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-111-1-11-1
χ711111111111111-1-1-1-1-1-1-1-1-1-11111-1111-1-1111111-1-1-11-1-1
χ811111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1-111-1-11-111
χ9111111111111-1-111-1-11111111111-111-1-1-111-1-1-1-1-1-11-11-1
χ10111111111111-1-111-1-11111111111-1-1-1-111-1-111-1-1-1-1-11-11
χ11111111111111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-111
χ12111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ13111111111111-1-1-1-111-1-11111-1-1-1-1111-111-1-11111-1-11-1-1-1
χ14111111111111-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-111-1-111-1-1-1111
χ15111111111111-1-1-1-111-1-1-1-1-1-11111111-11111-1-1-1-111-1-1-11
χ16111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-111111-1
χ1722222222-2-2-2-2222222-2-200000000-200-200000000000000
χ1822222222-2-2-2-222-2-2-2-22200000000200-200000000000000
χ1922222222-2-2-2-2-2-222-2-2-2-200000000200200000000000000
χ2022222222-2-2-2-2-2-2-2-2222200000000-200200000000000000
χ2122-222-2-2-200002-22-22-20022−2−222−2−200000000002−22−20000
χ2222-222-2-2-200002-22-22-200−2−222−2−2220000000000−22−220000
χ2322-222-2-2-200002-2-22-220022−2−2−2−2220000000000−222−20000
χ2422-222-2-2-200002-2-22-2200−2−22222−2−200000000002−2−220000
χ2522-222-2-2-20000-222-2-220022−2−222−2−20000000000−22−220000
χ2622-222-2-2-20000-222-2-2200−2−222−2−22200000000002−22−20000
χ2722-222-2-2-20000-22-222-20022−2−2−2−22200000000002−2−220000
χ2822-222-2-2-20000-22-222-200−2−22222−2−20000000000−222−20000
χ292-2-22-222-222-2-20000000000002i−2i2i−2i02-20002i−2i0000000000
χ302-2-22-222-222-2-20000000000002i−2i2i−2i0-22000−2i2i0000000000
χ312-2-22-222-222-2-2000000000000−2i2i−2i2i02-2000−2i2i0000000000
χ322-2-22-222-222-2-2000000000000−2i2i−2i2i0-220002i−2i0000000000
χ332-2-2-22-222-22-22000000002-22-2000000002-2002-200000000
χ342-2-2-22-222-22-22000000002-22-200000000-2200-2200000000
χ352-2-2-22-222-22-2200000000-22-22000000002-200-2200000000
χ362-2-2-22-222-22-2200000000-22-2200000000-22002-200000000
χ37444-4-4-44-44-4-440000000000000000000000000000000000
χ38444-4-4-44-4-444-40000000000000000000000000000000000
χ3944-4-4-44-4400000000004-400000000000000000000000000
χ4044-4-4-44-440000000000-4400000000000000000000000000
χ414-444-4-4-4400000000000000002i2−2i2−2i22i2000000000000000000
χ424-444-4-4-440000000000000000−2i22i22i2−2i2000000000000000000
χ434-44-444-4-400000000000022−22−22220000000000000000000000
χ444-44-444-4-4000000000000−222222−220000000000000000000000
χ454-4-44-444-4-4-4440000000000000000000000000000000000
χ464-4-4-44-4444-44-40000000000000000000000000000000000

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