Finite Group Databasebeta

← Group #69028

Character table — Group #69028

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size11222222222224444448888888888888888882424242424242424
order12222344446121266612121244888812121212242424242424242422224444
χ1111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-11-1-1-1
χ4111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111
χ51111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ61111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-11-11-1-1
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-11-111
χ9222222-2-2-2-22-2-2222-2-2-22-2000022-2-20000000000000000
χ10222222-2-2-2-22-2-2222-2-2-2-220000-2-2220000000000000000
χ1122222-12222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1222222-12222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ1322222-12222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ1422222-12222-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ1522222-1-2-2-2-2-111-1-1-11112-20000-1-11133−3−333−3−300000000
χ1622222-1-2-2-2-2-111-1-1-11112-20000-1-111−3−333−3−33300000000
χ1722222-1-2-2-2-2-111-1-1-1111-22000011-1-133−3−3−3−33300000000
χ1822222-1-2-2-2-2-111-1-1-1111-22000011-1-1−3−33333−3−300000000
χ19222-2-2222-2-22-2-22-2-222-20000000000000000000000002i−2i
χ20222-2-2222-2-22-2-22-2-222-2000000000000000000000000−2i2i
χ21222-2-22-2-2222222-2-2-2-2200000000000000000000020-200
χ22222-2-22-2-2222222-2-2-2-22000000000000000000000-20200
χ2322-22-222-22-2222-2-222-2-20000000000000000000020-2000
χ2422-22-222-22-2222-2-222-2-200000000000000000000-202000
χ2522-22-22-22-222-2-2-2-22-2220000000000000000002-2000000
χ2622-22-22-22-222-2-2-2-22-222000000000000000000-22000000
χ2722-2-2222-2-222-2-2-22-22-2200002-2000000002-22-200000000
χ2822-2-2222-2-222-2-2-22-22-220000-2200000000-22-2200000000
χ2922-2-222-222-2222-22-2-22-2002-20000002-22-2000000000000
χ3022-2-222-222-2222-22-2-22-200-22000000-22-22000000000000
χ3122-2-22-12-2-22-1111-11-11-100002-23−33−33−3−33-11-1100000000
χ3222-2-22-12-2-22-1111-11-11-100002-2−33−33−333−3-11-1100000000
χ3322-2-22-12-2-22-1111-11-11-10000-223−33−3−333−31-11-100000000
χ3422-2-22-12-2-22-1111-11-11-10000-22−33−333−3−331-11-100000000
χ3522-2-22-1-222-2-1-1-11-111-11002-2003−3−33-11-11−333−300000000
χ3622-2-22-1-222-2-1-1-11-111-11002-200−333−3-11-113−3−3300000000
χ3722-2-22-1-222-2-1-1-11-111-1100-22003−3−331-11-13−3−3300000000
χ3822-2-22-1-222-2-1-1-11-111-1100-2200−333−31-11-1−333−300000000
χ39444-4-4-244-4-4-222-222-2-2200000000000000000000000000
χ40444-4-4-2-4-444-2-2-2-22222-200000000000000000000000000
χ4144-44-4-24-44-4-2-2-222-2-22200000000000000000000000000
χ4244-44-4-2-44-44-22222-22-2-200000000000000000000000000
χ438-800080000-80000000000000000000000000000000000
χ448-8000-40000443−4300000000000000000000000000000000
χ458-8000-400004−434300000000000000000000000000000000

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