Finite Group Databasebeta

← Group #73075

Character table — Group #73075

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size1111224466668888121212121212161616161616242424242424
order1222444422443666444444121212121212448888
χ11111111111111111111111111111111111
χ2111111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ3111111-1-111111111-1-1111111-1-1-1-1-1-111-1-1
χ4111111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111
χ511-1-1-11i−i-111-11-11-1i−i11-1-11-1ii−i−ii−i1-1i−i
χ611-1-1-11i−i-111-11-11-1i−i-1-1111-1ii−i−i−ii-11−ii
χ711-1-1-11−ii-111-11-11-1−ii11-1-11-1−i−iii−ii1-1−ii
χ811-1-1-11−ii-111-11-11-1−ii-1-1111-1−i−iiii−i-11i−i
χ9222222222222-1-1-1-1220000-1-1-1-1-1-1000000
χ10222222-2-22222-1-1-1-1-2-20000-1-11111000000
χ112222-2-200-2-2222222000000-2-20000000000
χ122222-2-200-2-222-1-1-1-100000011−i3i3−i3i3000000
χ132222-2-200-2-222-1-1-1-100000011i3−i3i3−i3000000
χ1422-2-22-2002-22-22-22-2000000-220000000000
χ1522-2-22-2002-22-2-11-110000001-13−3−33000000
χ1622-2-22-2002-22-2-11-110000001-1−333−3000000
χ1722-2-2-222i−2i-222-2-11-112i−2i0000-11−i−iii000000
χ1822-2-2-22−2i2i-222-2-11-11−2i2i0000-11ii−i−i000000
χ1933333333-1-1-1-10000-1-11111000000-1-1-1-111
χ2033333333-1-1-1-10000-1-1-1-1-1-10000001111-1-1
χ21333333-3-3-1-1-1-1000011111100000011-1-1-1-1
χ22333333-3-3-1-1-1-1000011-1-1-1-1000000-1-11111
χ2333-3-3-333i−3i1-1-110000−ii11-1-1000000−ii-11i−i
χ2433-3-3-333i−3i1-1-110000−ii-1-111000000i−i1-1−ii
χ2533-3-3-33−3i3i1-1-110000i−i11-1-1000000i−i-11−ii
χ2633-3-3-33−3i3i1-1-110000i−i-1-111000000−ii1-1i−i
χ274-44-400000000-2-222002i−2i2i−2i000000000000
χ284-44-400000000-2-22200−2i2i−2i2i000000000000
χ294-4-4400000000-222-2002i−2i−2i2i000000000000
χ304-4-4400000000-222-200−2i2i2i−2i000000000000
χ316666-6-60022-2-20000000000000000000000
χ3266-6-66-600-22-220000000000000000000000
χ338-88-80000000022-2-2000000000000000000
χ348-8-88000000002-2-22000000000000000000

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