Finite Group Databasebeta

← Group #73129

Character table — Group #73129

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size1111224466668888121212121212161616161616242424242424
order12442488224436121244448861224242424448888
χ11111111111111111111111111111111111
χ21111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ3111111-1-1111111111111-1-111-1-1-1-1-1-1-1-111
χ4111111-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ511-1-1-11i−i1-11-111-1-111-1-1i−i-11ii−i−ii−ii−i1-1
χ611-1-1-11i−i1-11-111-1-1-1-111i−i-11ii−i−i−ii−ii-11
χ711-1-1-11−ii1-11-111-1-111-1-1−ii-11−i−iii−ii−ii1-1
χ811-1-1-11−ii1-11-111-1-1-1-111−ii-11−i−iiii−ii−i-11
χ9222222222222-1-1-1-1000022-1-1-1-1-1-1000000
χ10222222-2-22222-1-1-1-10000-2-2-1-11111000000
χ112222-2-200-222-22222000000-2-20000000000
χ122222-2-200-222-2-1-1-1-100000011−i3i3−i3i3000000
χ132222-2-200-222-2-1-1-1-100000011i3−i3i3−i3000000
χ1422-2-22-200-2-22222-2-20000002-20000000000
χ1522-2-22-200-2-222-1-111000000-113−3−33000000
χ1622-2-22-200-2-222-1-111000000-11−333−3000000
χ1722-2-2-222i−2i2-22-2-1-11100002i−2i1-1−i−iii000000
χ1822-2-2-22−2i2i2-22-2-1-1110000−2i2i1-1ii−i−i000000
χ1933333333-1-1-1-100001111-1-100000011-1-1-1-1
χ2033333333-1-1-1-10000-1-1-1-1-1-1000000-1-11111
χ21333333-3-3-1-1-1-10000111111000000-1-111-1-1
χ22333333-3-3-1-1-1-10000-1-1-1-11100000011-1-111
χ2333-3-3-333i−3i-11-11000011-1-1−ii000000i−i−ii-11
χ2433-3-3-333i−3i-11-110000-1-111−ii000000−iii−i1-1
χ2533-3-3-33−3i3i-11-11000011-1-1i−i000000−iii−i-11
χ2633-3-3-33−3i3i-11-110000-1-111i−i000000i−i−ii1-1
χ274-44i−4i00000000-222i−2i2-22i−2i00000000000000
χ284-44i−4i00000000-222i−2i-22−2i2i00000000000000
χ294-4−4i4i00000000-22−2i2i2-2−2i2i00000000000000
χ304-4−4i4i00000000-22−2i2i-222i−2i00000000000000
χ316666-6-6002-2-220000000000000000000000
χ3266-6-66-60022-2-20000000000000000000000
χ338-88i−8i000000002-2−2i2i000000000000000000
χ348-8−8i8i000000002-22i−2i000000000000000000

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