Finite Group Databasebeta

← Group #27809

Character table — Group #27809

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order1222224444888888884444888824444444888888882244
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-111-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-1-111-1-11-11-1
χ611111111111111-1-1-1-1-1-1-1-111-1-1111-111-11-1-1-1-1-1-111-11-11
χ711111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11-1111111-1-1-11-11
χ811111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111111-1-1111-11-1
χ91111111111-1-1-1-11111-1-1-1-1-1-11111-111-111-1-111-1-1-1-111-1-1
χ101111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111
χ111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ121111111111-1-1-1-11111-1-1-1-1-1-111-1-11-1-11-1-111-1-1111111-1-1
χ131111111111-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-11-111-1-1-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-1111-1-111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-111-1-111-111-1
χ161111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-11-1-11111-1-11-1-11
χ172222-2-22-22-200002222000000-2-2000220-2-2000000000000
χ182222-2-22-22-200002222000000-2-2000-2-2022000000000000
χ192222-2-22-22-20000-2-2-2-2000000220002-20-22000000000000
χ202222-2-22-22-20000-2-2-2-200000022000-2202-2000000000000
χ212222-2-2-22-22222200000000-2-2002-2-200200000000000000
χ222222-2-2-22-22222200000000-2-200-22200-200000000000000
χ232222-2-2-22-22-2-2-2-20000000022002-2200-200000000000000
χ242222-2-2-22-22-2-2-2-2000000002200-22-200200000000000000
χ2522-2-22-2-2-2222i2i−2i−2i22-2-22i2i−2i−2i2i−2i2-200000000000000000000
χ2622-2-22-2-2-2222i2i−2i−2i-2-222−2i−2i2i2i2i−2i-2200000000000000000000
χ2722-2-22-2-2-222−2i−2i2i2i22-2-2−2i−2i2i2i−2i2i2-200000000000000000000
χ2822-2-22-2-2-222−2i−2i2i2i-2-2222i2i−2i−2i−2i2i-2200000000000000000000
χ2922-2-2-222-2-222i2i−2i−2i00000000−2i2i00000000002-22i−2i00000000
χ3022-2-2-222-2-222i2i−2i−2i00000000−2i2i0000000000-22−2i2i00000000
χ3122-2-2-222-2-22−2i−2i2i2i000000002i−2i00000000002-2−2i2i00000000
χ3222-2-2-222-2-22−2i−2i2i2i000000002i−2i0000000000-222i−2i00000000
χ3322-2-2-22-222-2000022-2-2000000-220000000000002i−2i2i−2i0000
χ3422-2-2-22-222-2000022-2-2000000-22000000000000−2i2i−2i2i0000
χ3522-2-2-22-222-20000-2-2220000002-20000000000002i−2i−2i2i0000
χ3622-2-2-22-222-20000-2-2220000002-2000000000000−2i2i2i−2i0000
χ37444444-4-4-4-4000000000000000000000000000000000000
χ3844-4-44-444-4-4000000000000000000000000000000000000
χ394-44-40000002i2−2i22i2−2i222−2222−222i−2i2i−2i000000000000000000000000
χ404-44-40000002i2−2i22i2−2i2−2222−2222−2i2i−2i2i000000000000000000000000
χ414-44-4000000−2i22i2−2i22i222−2222−22−2i2i−2i2i000000000000000000000000
χ424-44-4000000−2i22i2−2i22i2−2222−22222i−2i2i−2i000000000000000000000000
χ434-4-4400000022−22−222222−22−22222-2-22000000000000000000000000
χ444-4-4400000022−22−2222−222222−22-222-2000000000000000000000000
χ454-4-44000000−222222−2222−22−2222-222-2000000000000000000000000
χ464-4-44000000−222222−22−222222−222-2-22000000000000000000000000

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