Finite Group Databasebeta

← Group #80784

Character table — Group #80784

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11112222223333444444446688888888881212121212121616161624242424
order1222344666444424888812124424446122424242444888861212122244
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-111111-11-111-1-1-1-111-1-1-1-111-1-11-1-11
χ41111111111111111-1-1-1-11111-11-1111-1-1-1-111-1-1-1-1-1-111-111-1
χ511111111111111-1-111-1-1111111-1-1-1-111-1-1-1-111-1-11-11-1-1-111
χ611111111111111-1-111-1-11111-1-111-1-111-1-1-1-111-1-1-11-1111-1-1
χ711111111111111-1-1-1-11111111-1-11-1-1-1-111-1-1-1-1111-1-11-11-11
χ811111111111111-1-1-1-1111111-111-1-1-1-1-111-1-1-1-111-111-11-11-1
χ91111111111-1-1-1-111111111-1-11111111111-1-1-1-1-1-11111-1-1-1-1
χ101111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ111111111111-1-1-1-111-1-1-1-111-1-11-11-111-1-1-1-1-1-1111111-1-1-111-1
χ121111111111-1-1-1-111-1-1-1-111-1-1-11-1111-1-1-1-1-1-11111-1-1111-1-11
χ131111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-1111-11-111-1-1
χ141111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-11-1-111
χ151111111111-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-1-1111111-1-11-1-111-11-1
χ161111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1111111-1-1-111-1-11-11
χ1722222-2-222222222-20000-2-2-2-200002-20000-22000000000000
χ1822222-2-22222222-220000-2-2-2-20000-2200002-2000000000000
χ1922222-2-2222-2-2-2-22-20000-2-22200002-200002-2000000000000
χ2022222-2-2222-2-2-2-2-220000-2-2220000-220000-22000000000000
χ212222-122-1-1-10000222222-1-1002222-1-1-1-1-1-1000000-1-1-1-10000
χ222222-122-1-1-10000222222-1-100-2-2-2-2-1-1-1-1-1-100000011110000
χ232222-122-1-1-1000022-2-2-2-2-1-1002-22-2-1-11111000000-1-1110000
χ242222-122-1-1-1000022-2-2-2-2-1-100-22-22-1-1111100000011-1-10000
χ252222-122-1-1-10000-2-222-2-2-1-10022-2-211-1-111000000-11-110000
χ262222-122-1-1-10000-2-222-2-2-1-100-2-22211-1-1110000001-11-10000
χ272222-122-1-1-10000-2-2-2-222-1-1002-2-221111-1-1000000-111-10000
χ282222-122-1-1-10000-2-2-2-222-1-100-222-21111-1-10000001-1-110000
χ2922-2-222-2-22-22i2i−2i−2i002-200-222i−2i0000002-200002i−2i0000000000
χ3022-2-222-2-22-22i2i−2i−2i00-2200-222i−2i000000-220000−2i2i0000000000
χ3122-2-222-2-22-2−2i−2i2i2i002-200-22−2i2i0000002-20000−2i2i0000000000
χ3222-2-222-2-22-2−2i−2i2i2i00-2200-22−2i2i000000-2200002i−2i0000000000
χ3322-2-22-22-22-22i2i−2i−2i00002i−2i2-2−2i2i000000002i−2i00002-200000000
χ3422-2-22-22-22-22i2i−2i−2i0000−2i2i2-2−2i2i00000000−2i2i0000-2200000000
χ3522-2-22-22-22-2−2i−2i2i2i00002i−2i2-22i−2i000000002i−2i0000-2200000000
χ3622-2-22-22-22-2−2i−2i2i2i0000−2i2i2-22i−2i00000000−2i2i00002-200000000
χ374444-2-4-4-2-2-200004-4000022000000-22000000000000000000
χ384444-2-4-4-2-2-20000-440000220000002-2000000000000000000
χ3944-4-4-24-42-220000004-4002-200000000-220000000000000000
χ4044-4-4-24-42-22000000-44002-2000000002-20000000000000000
χ4144-4-4-2-442-22000000004i−4i-220000000000−2i2i00000000000000
χ4244-4-4-2-442-2200000000−4i4i-2200000000002i−2i00000000000000
χ434-44-44004-4-44i−4i4i−4i0000000000000000000000000000000000
χ444-44-44004-4-4−4i4i−4i4i0000000000000000000000000000000000
χ454-4-44400-4-444-4-440000000000000000000000000000000000
χ464-4-44400-4-44-444-40000000000000000000000000000000000
χ478-88-8-400-44400000000000000000000000000000000000000
χ488-8-88-40044-400000000000000000000000000000000000000

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