Finite Group Databasebeta

← Group #69313

Character table — Group #69313

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size1122222444444488888888812121616161616242424242448
order12234466881212242488161624484848482441212242488816162
χ1111111111111111111111111111111111111
χ211111111111111111111111-1-111111-1-1-1-1-1-1
χ31111111111111111-1-11-1-1-1-111-1-1-111111-1-1-1
χ41111111111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1111
χ511111111111111-1-1111111111-1-1-1-1-11-1-111-1
χ611111111111111-1-11111111-1-1-1-1-1-1-1-111-1-11
χ711111111111111-1-1-1-11-1-1-1-111111-1-11-1-1-1-11
χ811111111111111-1-1-1-11-1-1-1-1-1-1111-1-1-11111-1
χ922222222-2-222-2-20000-200002200000-200000
χ1022222222-2-222-2-20000-20000-2-200000200000
χ112222-2-22200-2-20000−i2i20−i2−i2i2i22-200000000−i2i20
χ122222-2-22200-2-20000−i2i20−i2−i2i2i2-2200000000i2−i20
χ132222-2-22200-2-20000i2−i20i2i2−i2−i22-200000000i2−i20
χ142222-2-22200-2-20000i2−i20i2i2−i2−i2-2200000000−i2i20
χ15222-122-1-122-1-1-1-12222-1-1-1-1-1002-1-1-1-1000000
χ16222-122-1-122-1-1-1-122-2-2-1111100-211-1-1000000
χ17222-122-1-122-1-1-1-1-2-222-1-1-1-1-100-21111000000
χ18222-122-1-122-1-1-1-1-2-2-2-2-11111002-1-111000000
χ1922-222-22-22-22-2222i−2i00-20000000002i−2i000000
χ2022-222-22-22-22-222−2i2i00-2000000000−2i2i000000
χ2122-222-22-2-222-2-2-2000020000000000002i−2i000
χ2222-222-22-2-222-2-2-200002000000000000−2i2i000
χ2322-2-12-2-112-2-11-1-12i−2i001−i3i3−i3i30003−3−ii000000
χ2422-2-12-2-112-2-11-1-12i−2i001i3−i3i3−i3000−33−ii000000
χ2522-2-12-2-112-2-11-1-1−2i2i001−i3i3−i3i3000−33i−i000000
χ2622-2-12-2-112-2-11-1-1−2i2i001i3−i3i3−i30003−3i−i000000
χ27444-244-2-2-4-4-2-2220000200000000000000000
χ28444-2-4-4-2-200220000−2i22i20i2i2−i2−i20000000000000
χ29444-2-4-4-2-2002200002i2−2i20−i2−i2i2i20000000000000
χ3044-44-444-400-44000000000000000000000000
χ3144-4-24-4-22-44-22220000-200000000000000000
χ3244-4-2-44-22002-200000006−6−660000000000000
χ3344-4-2-44-22002-20000000−666−60000000000000
χ348-80800-800000000000000000000000000000
χ358-80-40040000026−260000000000000000000000
χ368-80-400400000−26260000000000000000000000

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