Finite Group Databasebeta

← Group #28249

Character table — Group #28249

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order1244222444888888884444888822224444888888888888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-111-1-1111-1111-1-1-1-1-111-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-111-1-111-1111-11-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11-1111111-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-111111-1-11111-1-1
χ91111111111-1-1-1-11111-1-1-1-1-1-1111-1111-11111-1-1-1-1-1-11-11-1
χ101111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-11-1-1-111-1-11111-11-11
χ111111111111-1-1-1-11111-1-1-1-1-1-111-1111-1111-1-111-1-1-1-1-11-11
χ121111111111-1-1-1-11111-1-1-1-1-1-111-11-1-1-11-1-1-1-11111111-11-1
χ131111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-1-1-111-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-11-1-11111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-111-1-1-1-111-111-1
χ161111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-1111-1-111-1-11-1-11
χ1722222-2-22-2-200002222000000-2-20000000000002i−2i2i−2i0000
χ1822222-2-22-2-200002222000000-2-2000000000000−2i2i−2i2i0000
χ1922222-2-22-2-20000-2-2-2-2000000220000000000002i−2i−2i2i0000
χ2022222-2-22-2-20000-2-2-2-200000022000000000000−2i2i2i−2i0000
χ212222-22-2-22-2222200000000-2-200000000002i−2i2i−2i00000000
χ222222-22-2-22-2222200000000-2-20000000000−2i2i−2i2i00000000
χ232222-22-2-22-2-2-2-2-2000000002200000000002i−2i−2i2i00000000
χ242222-22-2-22-2-2-2-2-200000000220000000000−2i2i2i−2i00000000
χ2522-2-22-2-2-22222-2-2000000002-2002200-2-200000000000000
χ2622-2-22-2-2-22222-2-2000000002-200-2-2002200000000000000
χ2722-2-22-2-2-222-2-22200000000-22002-200-2200000000000000
χ2822-2-22-2-2-222-2-22200000000-2200-22002-200000000000000
χ2922-2-2-22-22-22000022-2-20000002-2002200-2-2000000000000
χ3022-2-2-22-22-22000022-2-20000002-200-2-20022000000000000
χ3122-2-2-22-22-220000-2-222000000-22002-200-22000000000000
χ3222-2-2-22-22-220000-2-222000000-2200-22002-2000000000000
χ3322-2-2-2-2222-222-2-222-2-222-2-2-22-2200000000000000000000
χ3422-2-2-2-2222-222-2-2-2-222-2-222-222-200000000000000000000
χ3522-2-2-2-2222-2-2-22222-2-2-2-2222-2-2200000000000000000000
χ3622-2-2-2-2222-2-2-222-2-22222-2-22-22-200000000000000000000
χ374444-4-44-4-44000000000000000000000000000000000000
χ3844-4-4444-4-4-4000000000000000000000000000000000000
χ394-44i−4i00000022−222i2−2i222−222i2−2i22-22i−2i000000000000000000000000
χ404-44i−4i00000022−222i2−2i2−2222−2i22i2-22−2i2i000000000000000000000000
χ414-44i−4i000000−2222−2i22i222−222i2−2i2-22−2i2i000000000000000000000000
χ424-44i−4i000000−2222−2i22i2−2222−2i22i22-22i−2i000000000000000000000000
χ434-4−4i4i00000022−22−2i22i222−22−2i22i22-2−2i2i000000000000000000000000
χ444-4−4i4i00000022−22−2i22i2−22222i2−2i2-222i−2i000000000000000000000000
χ454-4−4i4i000000−22222i2−2i222−22−2i22i2-222i−2i000000000000000000000000
χ464-4−4i4i000000−22222i2−2i2−22222i2−2i22-2−2i2i000000000000000000000000

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