Finite Group Databasebeta

← Group #71249

Character table — Group #71249

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size1111222244444888888888816161616162424242424242424
order1222366644412124488121224242424266121224448888
χ1111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111-1-111-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111-1-111111111-1-1-1-1-11-11-111-1-1
χ61111111111111-1-111111111-1-1-1-1-1-11-11-1-111
χ71111111111111-1-1-1-111-1-1-1-1111-1-11-11-1-1-111
χ81111111111111-1-1-1-111-1-1-1-1111-1-1-11-1111-1-1
χ9222222222-2-2222-200-2-200000002-200000000
χ10222222222-2-222-2200-2-20000000-2200000000
χ1122222222-22-2-2-200002-2000000000020-20000
χ1222222222-22-2-2-200002-20000000000-2020000
χ1322222222-2-22-2-20000-2200000000020-200000
χ1422222222-2-22-2-20000-22000000000-20200000
χ152222-1-1-1-1222-1-12222-1-1-1-1-1-12-1-1-1-100000000
χ162222-1-1-1-1222-1-122-2-2-1-11111-211-1-100000000
χ172222-1-1-1-1222-1-1-2-222-1-1-1-1-1-1-2111100000000
χ182222-1-1-1-1222-1-1-2-2-2-2-1-111112-1-11100000000
χ192222-1-1-1-12-2-2-1-12-20011−i3−i3i3i30−i3i3-1100000000
χ202222-1-1-1-12-2-2-1-12-20011i3i3−i3−i30i3−i3-1100000000
χ212222-1-1-1-12-2-2-1-1-220011−i3−i3i3i30i3−i31-100000000
χ222222-1-1-1-12-2-2-1-1-220011i3i3−i3−i30−i3i31-100000000
χ234444-2-2-2-2-44-4220000-2200000000000000000
χ244444-2-2-2-2-4-442200002-200000000000000000
χ2544-4-44-44-40000000000000000000000002i−2i00
χ2644-4-44-44-4000000000000000000000000−2i2i00
χ274-44-444-4-400000002i−2i002i−2i2i−2i0000000000000
χ284-44-444-4-40000000−2i2i00−2i2i−2i2i0000000000000
χ294-44-4-2-222000−2i32i3002i−2i002ζ7−2ζ72ζ11−2ζ110000000000000
χ304-44-4-2-222000−2i32i300−2i2i00−2ζ72ζ7−2ζ112ζ110000000000000
χ314-44-4-2-2220002i3−2i3002i−2i002ζ11−2ζ112ζ7−2ζ70000000000000
χ324-44-4-2-2220002i3−2i300−2i2i00−2ζ112ζ11−2ζ72ζ70000000000000
χ334-4-444-4-44000000000000000000000000002-2
χ344-4-444-4-4400000000000000000000000000-22
χ3588-8-8-44-440000000000000000000000000000
χ368-8-88-444-40000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.