Finite Group Databasebeta

← Group #822

Character table — Group #822

Order 96.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24
size11112222224444444466661212
order1244234612126881224242424888888
χ1111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1
χ311111111111-1-11-1-1-1-11111-1-1
χ411111111111-1-11-1-1-1-1-1-1-1-111
χ511-1-1-1111-1-1-1i−i1ii−i−i11-1-1i−i
χ611-1-1-1111-1-1-1i−i1ii−i−i-1-111−ii
χ711-1-1-1111-1-1-1−ii1−i−iii11-1-1−ii
χ811-1-1-1111-1-1-1−ii1−i−iii-1-111i−i
χ922222-12-1-1-1-122-1-1-1-1-1000000
χ1022222-12-1-1-1-1-2-2-11111000000
χ112222-22-2222-200-20000000000
χ122222-2-1-2-1-1-11001−i3i3−i3i3000000
χ132222-2-1-2-1-1-11001i3−i3i3−i3000000
χ1422-2-222-22-2-2200-20000000000
χ1522-2-22-1-2-111-10013−3−33000000
χ1622-2-22-1-2-111-1001−333−3000000
χ1722-2-2-2-12-11112i−2i-1−i−iii000000
χ1822-2-2-2-12-1111−2i2i-1ii−i−i000000
χ192-22i−2i020-22i−2i000000002−2−i2i200
χ202-22i−2i020-22i−2i00000000−22i2−i200
χ212-2−2i2i020-2−2i2i000000002−2i2−i200
χ222-2−2i2i020-2−2i2i00000000−22−i2i200
χ234-44i−4i0-202−2i2i00000000000000
χ244-4−4i4i0-2022i−2i00000000000000

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