Finite Group Databasebeta

← Group #81149

Character table — Group #81149

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size11112222222244444668888888888888881212121616242424242424
order1222344446664121212124424446688121212242424242441212224488
χ1111111111111111111111111111111111111111111111
χ211111111111111111111-11-111-1-1111-1-1-1-1111-1-11-1-11-1-1
χ31111111111111111111-11-11-1-1-1-11-1-1-1-1-1-111111-111-1-1-1
χ41111111111111111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-111
χ511111111111111111-1-1111111111111111-1-1-111-1-1-1-1-1-1
χ611111111111111111-1-11-11-111-1-1111-1-1-1-1-1-1-1-1-1-111-111
χ711111111111111111-1-1-11-11-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1111
χ811111111111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-11111-1-1
χ9111111-1-11111-11-1-111111-1-1111-1-1-1-111-1-1-11-11-11-11-11-1
χ10111111-1-11111-11-1-11111-1-1111-11-1-1-1-1-111-11-1-1111-1-1-11
χ11111111-1-11111-11-1-1111-111-1-1-1-11-111-1-111-11-11-1-1-111-11
χ12111111-1-11111-11-1-1111-1-111-1-11-1-11111-1-1-11-1-11-11-111-1
χ13111111-1-11111-11-1-11-1-111-1-1111-1-1-1-111-1-11-111-1-11-11-11
χ14111111-1-11111-11-1-11-1-11-1-1111-11-1-1-1-1-1111-11-11-1-1111-1
χ15111111-1-11111-11-1-11-1-1-111-1-1-1-11-111-1-1111-111-111-1-11-1
χ16111111-1-11111-11-1-11-1-1-1-111-1-11-1-11111-1-11-11-111-11-1-11
χ1722222-222-2222-2-222-22200000000-20000002-2-200000000
χ1822222-222-2222-2-222-2-2-200000000-2000000-22200000000
χ1922222-2-2-2-22222-2-2-2-222000000002000000-2-2200000000
χ2022222-2-2-2-22222-2-2-2-2-2-200000000200000022-200000000
χ212222-12222-1-1-12-1-1-1-1002222-1-122-1-1-1-1-1-1-1000-1-1000000
χ222222-12222-1-1-12-1-1-1-1002-22-2-1-1-2-2-1-1-1111100011000000
χ232222-12222-1-1-12-1-1-1-100-22-2211-2-2-1111111000-1-1000000
χ242222-12222-1-1-12-1-1-1-100-2-2-2-21122-111-1-1-1-100011000000
χ252222-12-2-22-1-1-1-2-111-10022-2-2-1-12-2111-1-111000-11000000
χ262222-12-2-22-1-1-1-2-111-1002-2-22-1-1-2211111-1-10001-1000000
χ272222-12-2-22-1-1-1-2-111-100-222-211-221-1-111-1-1000-11000000
χ282222-12-2-22-1-1-1-2-111-100-2-222112-21-1-1-1-1110001-1000000
χ294444-2-444-4-2-2-2-42-2-220000000000200000000000000000
χ304444-2-4-4-4-4-2-2-2422220000000000-200000000000000000
χ3144-4-4404i−4i0-44-4004i−4i00000000000000000000000000000
χ3244-4-440−4i4i0-44-400−4i4i00000000000000000000000000000
χ3344-4-4-204i−4i02-2200−2i2i00000000000000i6−i66−600000000000
χ3444-4-4-204i−4i02-2200−2i2i00000000000000−i6i6−6600000000000
χ3544-4-4-20−4i4i02-22002i−2i00000000000000i6−i6−6600000000000
χ3644-4-4-20−4i4i02-22002i−2i00000000000000−i6i66−600000000000
χ374-44-44400-44-4-40400-40000000000000000000000000000
χ384-44-44-40044-4-40-40040000000000000000000000000000
χ394-44-4-2400-4-2220-2002000000−2i32i300000000000000000000
χ404-44-4-2400-4-2220-20020000002i3−2i300000000000000000000
χ414-44-4-2-4004-2220200-20000000000023−23000000000000000
χ424-44-4-2-4004-2220200-200000000000−2323000000000000000
χ434-4-4440000-4-44000004-400000000000000000000000000
χ444-4-4440000-4-4400000-4400000000000000000000000000
χ458-8-88-4000044-4000000000000000000000000000000000

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