Finite Group Databasebeta

← Group #28964

Character table — Group #28964

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888844444444444488884444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11-1-111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-111-1-111111-1-11-1-1-1-1-1-111
χ6111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11111-1-111
χ9111111111-1-1-1-1111-1-11111-1-1-1-111111-1-1-11-1-1-111-1-1-111-1
χ10111111111-1-1-1-1111-1-11111-1-1-1-11111-11-1-1-1-1-11-1-1111-1-11
χ11111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11-111111-111-1-11-1-11
χ12111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1111-1111-1-111-111-1
χ13111111111-1-1-1-1111-1-1-1-1-1-1111111-1-11-1-1-1111-1-1-1111-11-1
χ14111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-11-1-1-111111-1-1-11-11
χ15111111111-1-1-1-1111-1-1-1-1-1-11111-1-1111-1111-1-1-1-1-111-11-11
χ16111111111-1-1-1-1111-1-1-1-1-1-11111-1-111-1111-1-1-1111-1-11-11-1
χ1722222222-22222-2-2-2-2-20000000000002200-200-200000000
χ1822222222-22222-2-2-2-2-2000000000000-2-200200200000000
χ1922222222-2-2-2-2-2-2-2-2220000000000002-200-200200000000
χ2022222222-2-2-2-2-2-2-2-222000000000000-2200200-200000000
χ212222-2-2-2-2200002-2-20022-2-200002-22-20000000000000000
χ222222-2-2-2-2200002-2-20022-2-20000-22-220000000000000000
χ232222-2-2-2-2200002-2-200-2-22200002-2-220000000000000000
χ242222-2-2-2-2200002-2-200-2-2220000-222-20000000000000000
χ252-2-222-22-222i2i−2i−2i-2-222i−2i2i−2i2i−2i22-2-200000000000000000000
χ262-2-222-22-222i2i−2i−2i-2-222i−2i−2i2i−2i2i-2-22200000000000000000000
χ272-2-222-22-22−2i−2i2i2i-2-22−2i2i2i−2i2i−2i-2-22200000000000000000000
χ282-2-222-22-22−2i−2i2i2i-2-22−2i2i−2i2i−2i2i22-2-200000000000000000000
χ292-2-222-22-2-22i2i−2i−2i22-2−2i2i000000000000000000002-22i−2i0000
χ302-2-222-22-2-22i2i−2i−2i22-2−2i2i00000000000000000000-22−2i2i0000
χ312-2-222-22-2-2−2i−2i2i2i22-22i−2i000000000000000000002-2−2i2i0000
χ322-2-222-22-2-2−2i−2i2i2i22-22i−2i00000000000000000000-222i−2i0000
χ332-2-22-22-2220000-22-2002i−2i−2i2i00000000002i−2i02-2000000000
χ342-2-22-22-2220000-22-2002i−2i−2i2i0000000000−2i2i0-22000000000
χ352-2-22-22-2220000-22-200−2i2i2i−2i00000000002i−2i0-22000000000
χ362-2-22-22-2220000-22-200−2i2i2i−2i0000000000−2i2i02-2000000000
χ374444-4-4-4-4-40000-444000000000000000000000000000000
χ3844-4-444-4-404-44-4000000000000000000000000000000000
χ3944-4-444-4-40-44-44000000000000000000000000000000000
χ4044-4-4-4-444000000000000002i2−2i22i2−2i200000000000000000000
χ4144-4-4-4-44400000000000000−2i22i2−2i22i200000000000000000000
χ424-44-44-4-4404i−4i−4i4i000000000000000000000000000000000
χ434-44-44-4-440−4i4i4i−4i000000000000000000000000000000000
χ444-44-4-444-4000000000000002i2−2i2−2i22i200000000000000000000
χ454-44-4-444-400000000000000−2i22i22i2−2i200000000000000000000
χ464-4-44-44-44-400004-44000000000000000000000000000000

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