Finite Group Databasebeta

← Group #64233

Character table — Group #64233

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27
size11244444466668991212121212121824243636
order12233666644446222412121212261244
χ1111111111111111111111111111
χ21111111111111111-1-111111-1-1-1-1
χ3111111111-1-1-1-111111-1-1-1-1111-1-1
χ4111111111-1-1-1-1111-1-1-1-1-1-11-1-111
χ511-111-1-11111-1-1-1111-111-1-1-11-11-1
χ611-111-1-11111-1-1-111-1111-1-1-1-11-11
χ711-111-1-111-1-111-1111-1-1-111-11-1-11
χ811-111-1-111-1-111-111-11-1-111-1-111-1
χ922222222200002-2-2000000-20000
χ1022-222-2-2220000-2-2-200000020000
χ112-202200-2-2002i−2i02-200002i−2i00000
χ122-202200-2-200−2i2i02-20000−2i2i00000
χ132-202200-2-22i−2i000-22002i−2i0000000
χ142-202200-2-2−2i2i000-2200−2i2i0000000
χ154441-211-212222-20000-1-1-1-100000
χ164441-211-21-2-2-2-2-20000111100000
χ17444-21-2-21-200001002200000-1-100
χ18444-21-2-21-20000100-2-2000001100
χ1944-41-2-1-1-2122-2-220000-1-11100000
χ2044-41-2-1-1-21-2-2222000011-1-100000
χ2144-4-21221-20000-1002-200000-1100
χ2244-4-21221-20000-100-22000001-100
χ234-401-23-32-12i−2i2i−2i00000−ii−ii00000
χ244-401-23-32-1−2i2i−2i2i00000i−ii−i00000
χ254-401-2-332-12i−2i−2i2i00000−iii−i00000
χ264-401-2-332-1−2i2i2i−2i00000i−i−ii00000
χ278-80-4200-24000000000000000000

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