Finite Group Databasebeta

← Group #71869

Character table — Group #71869

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size11222222222224444448888888888888888882424242424242424
order12222344446666612121212244444661212121212121212121224448888
χ1111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1
χ4111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111
χ51111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ61111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ71111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ9222222-2-2-2-222222-2-2-2-200002-20022-2-200000000000000
χ10222222-2-2-2-222222-2-2-2-20000-2200-2-22200000000000000
χ1122222-12222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1222222-12222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-11111-1-1111100000000
χ1322222-12222-1-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-100000000
χ1422222-12222-1-1-1-1-1-1-1-1-1-2-2-2-22211-1-1-1-111111100000000
χ1522222-1-2-2-2-2-1-1-1-1-1111100002-2−i3i3-1-111−i3i3−i3−i3i3i300000000
χ1622222-1-2-2-2-2-1-1-1-1-1111100002-2i3−i3-1-111i3−i3i3i3−i3−i300000000
χ1722222-1-2-2-2-2-1-1-1-1-111110000-22−i3i311-1-1−i3i3i3i3−i3−i300000000
χ1822222-1-2-2-2-2-1-1-1-1-111110000-22i3−i311-1-1i3−i3−i3−i3i3i300000000
χ19222-2-2222-2-2-2-222-222-2-2000000000000000000002i−2i0000
χ20222-2-2222-2-2-2-222-222-2-200000000000000000000−2i2i0000
χ21222-2-22-2-222-2-222-2-2-2220000000000000000002-2000000
χ22222-2-22-2-222-2-222-2-2-222000000000000000000-22000000
χ2322-22-222-22-2222-2-22-22-2002-200000000002-22-200000000
χ2422-22-222-22-2222-2-22-22-200-220000000000-22-2200000000
χ2522-22-22-22-22222-2-2-22-222-20000220000-2-2000000000000
χ2622-22-22-22-22222-2-2-22-22-220000-2-2000022000000000000
χ2722-22-2-12-22-2-1-1-111-11-11002-200−i3i3−i3i3−i3i3i3−i3-11-1100000000
χ2822-22-2-12-22-2-1-1-111-11-11002-200i3−i3i3−i3i3−i3−i3i3-11-1100000000
χ2922-22-2-12-22-2-1-1-111-11-1100-2200−i3i3i3−i3i3−i3i3−i31-11-100000000
χ3022-22-2-12-22-2-1-1-111-11-1100-2200i3−i3−i3i3−i3i3−i3i31-11-100000000
χ3122-22-2-1-22-22-1-1-1111-11-12-20000-1-1−i3i3i3−i311−i3i3i3−i300000000
χ3222-22-2-1-22-22-1-1-1111-11-12-20000-1-1i3−i3−i3i311i3−i3−i3i300000000
χ3322-22-2-1-22-22-1-1-1111-11-1-22000011−i3i3i3−i3-1-1i3−i3−i3i300000000
χ3422-22-2-1-22-22-1-1-1111-11-1-22000011i3−i3−i3i3-1-1−i3i3i3−i300000000
χ3522-2-2222-2-22-2-22-222-2-2200000000000000000000002-200
χ3622-2-2222-2-22-2-22-222-2-220000000000000000000000-2200
χ3722-2-222-222-2-2-22-22-222-20000000000000000000000002-2
χ3822-2-222-222-2-2-22-22-222-2000000000000000000000000-22
χ39444-4-4-244-4-422-2-22-2-22200000000000000000000000000
χ40444-4-4-2-4-44422-2-2222-2-200000000000000000000000000
χ4144-4-44-24-4-4422-22-2-222-200000000000000000000000000
χ4244-4-44-2-444-422-22-22-2-2200000000000000000000000000
χ438-80008000000-800000000000000000000000000000000
χ448-8000-40000−4i34i3400000000000000000000000000000000
χ458-8000-400004i3−4i3400000000000000000000000000000000

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