Finite Group Databasebeta

← Group #29936

Character table — Group #29936

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444224444444444444444888888884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111
χ81111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1
χ91111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111-1-11-11-1
χ101111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-11-11
χ111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-11-11
χ121111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111-11-1
χ131111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-11
χ141111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-111-1
χ151111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-111-1
χ161111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-1-11
χ1722222222-2-22222-2-222-2-2-2-2-2-22200000000000000000000
χ1822222222-2-22222-2-2-2-2-2-22222-2-200000000000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-222-2-200000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000
χ212-2-222-22-22-222-2-22-2002-2000000002i−2i002i−2i000000000000
χ222-2-222-22-22-222-2-22-2002-200000000−2i2i00−2i2i000000000000
χ232-2-222-22-22-2-2-2222-200-22000000002i−2i00−2i2i000000000000
χ242-2-222-22-22-2-2-2222-200-2200000000−2i2i002i−2i000000000000
χ252-2-222-22-2-2222-2-2-2200-220000002i−2i002i−2i00000000000000
χ262-2-222-22-2-2222-2-2-2200-22000000−2i2i00−2i2i00000000000000
χ272-2-222-22-2-22-2-222-22002-20000002i−2i00−2i2i00000000000000
χ282-2-222-22-2-22-2-222-22002-2000000−2i2i002i−2i00000000000000
χ292-2-2-2-2222002-22-2002-20000002-2000000002−22−22−22−20000
χ302-2-2-2-2222002-22-2002-20000002-200000000−22−22−22−220000
χ312-2-2-2-2222002-22-200-22000000-22000000002−22−2−22−220000
χ322-2-2-2-2222002-22-200-22000000-2200000000−22−222−22−20000
χ332-2-2-2-222200-22-22002-2000000-22000000002−2−222−2−220000
χ342-2-2-2-222200-22-22002-2000000-2200000000−222−2−222−20000
χ352-2-2-2-222200-22-2200-220000002-2000000002−2−22−222−20000
χ362-2-2-2-222200-22-2200-220000002-200000000−222−22−2−220000
χ37444-4-4-44-4004-4-4400000000000000000000000000000000
χ38444-4-4-44-400-444-400000000000000000000000000000000
χ3944-44-44-4-4000000000000004-40000000000000000000000
χ4044-44-44-4-400000000000000-440000000000000000000000
χ4144-4-44-4-44440000-4-4000000000000000000000000000000
χ4244-4-44-4-44-4-4000044000000000000000000000000000000
χ434-444-4-4-440000000000004i−4i000000000000000000000000
χ444-444-4-4-44000000000000−4i4i000000000000000000000000
χ454-44-444-4-44-40000-44000000000000000000000000000000
χ464-44-444-4-4-4400004-4000000000000000000000000000000

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