Finite Group Databasebeta

← Group #30846

Character table — Group #30846

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244442244444488888888222244444488882244
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-11-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-11
χ51111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-111-1
χ61111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11-1-11
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111111-1-1-1-111-1-11111-1-1-1-111111-111-1-1-1-111-11-1-1
χ10111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-1111-111
χ11111111111111-1-1-1-111-1-1-1-1-1-1111111-1-11-1111111-1-1-1-1-11
χ12111111111111-1-1-1-111-1-1-1-1-1-11111-1-1111-1-1-1-1-111-1-1111-1
χ13111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-11-1-1-1-111-1-111-11
χ14111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-11111111-1-1-1-11-1
χ15111111111111-1-1-1-1-1-111-1-1-1-111111111-11-1-111-1-1111-1-1-1
χ16111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1111
χ1722222222-2-2-2-222-2-22222000000000000-2-2000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-200000000000022000000000000
χ1922222222-2-2-2-2-2-22222-2-2000000000000-22000000000000
χ2022222222-2-2-2-2-2-222-2-2220000000000002-2000000000000
χ2122-2-2-2-22200002-2002-22-222−2−222−2−200000000002−22−20000
χ2222-2-2-2-22200002-2002-22-2−2−222−2−2220000000000−22−220000
χ2322-2-2-2-22200002-200-22-2222−2−222−2−20000000000−22−220000
χ2422-2-2-2-22200002-200-22-22−2−222−2−22200000000002−22−20000
χ2522-2-2-2-2220000-22002-2-2222−2−2−2−2220000000000−222−20000
χ2622-2-2-2-2220000-22002-2-22−2−22222−2−200000000002−2−220000
χ2722-2-2-2-2220000-2200-222-222−2−2−2−22200000000002−2−220000
χ2822-2-2-2-2220000-2200-222-2−2−22222−2−20000000000−222−20000
χ292-2-22-222-22-2-22000000002-22-20000002-2002-20000000000
χ302-2-22-222-22-2-22000000002-22-2000000-2200-220000000000
χ312-2-22-222-22-2-2200000000-22-220000002-200-220000000000
χ322-2-22-222-22-2-2200000000-22-22000000-22002-20000000000
χ332-2-2-222-22-22-220000000000002-22-22-20000002-200000000
χ342-2-2-222-22-22-220000000000002-22-2-22000000-2200000000
χ352-2-2-222-22-22-22000000000000-22-222-2000000-2200000000
χ362-2-2-222-22-22-22000000000000-22-22-220000002-200000000
χ37444-4-44-4-444-4-40000000000000000000000000000000000
χ38444-4-44-4-4-4-4440000000000000000000000000000000000
χ3944-444-4-4-40000004i−4i000000000000000000000000000000
χ4044-444-4-4-4000000−4i4i000000000000000000000000000000
χ414-444-4-4-44000000000000000022−22−2222000000000000000000
χ424-444-4-4-440000000000000000−222222−22000000000000000000
χ434-44-44-44-400000000000022−22−22220000000000000000000000
χ444-44-44-44-4000000000000−222222−220000000000000000000000
χ454-4-44-444-4-444-40000000000000000000000000000000000
χ464-4-4-444-444-44-40000000000000000000000000000000000

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