Finite Group Databasebeta

← Group #808

Character table — Group #808

Order 96.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24
size11112222224444444466661212
order122234466644121212121212888844
χ1111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-11111-1-1
χ41111111111-1-111-1-1-1-1-1-1-1-111
χ511-1-11-11-11-1i−i1-1ii−i−i11-1-1i−i
χ611-1-11-11-11-1i−i1-1ii−i−i-1-111−ii
χ711-1-11-11-11-1−ii1-1−i−iii11-1-1−ii
χ811-1-11-11-11-1−ii1-1−i−iii-1-111i−i
χ922222-2-222200-2-20000000000
χ102222-122-1-1-122-1-1-1-1-1-1000000
χ112222-122-1-1-1-2-2-1-11111000000
χ122222-1-2-2-1-1-10011−i3i3−i3i3000000
χ132222-1-2-2-1-1-10011i3−i3i3−i3000000
χ1422-2-222-2-22-200-220000000000
χ1522-2-2-12-21-11001-13−3−33000000
χ1622-2-2-12-21-11001-1−333−3000000
χ1722-2-2-1-221-112i−2i-11−i−iii000000
χ1822-2-2-1-221-11−2i2i-11ii−i−i000000
χ192-22-2200-2-2200000000−i2i2−i2i200
χ202-22-2200-2-2200000000i2−i2i2−i200
χ212-2-222002-2-200000000−i2i2i2−i200
χ222-2-222002-2-200000000i2−i2−i2i200
χ234-44-4-20022-200000000000000
χ244-4-44-200-22200000000000000

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