Finite Group Databasebeta

← Group #78055

Character table — Group #78055

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111111122222222444444666688888888888888888812121212121224242424
order122222223666666644444444442444661212121212121212121212124444442444
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11
χ6111111111111111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11-11-1
χ7111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111111-11-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-11-11
χ91111111111111111-1-111-1-111111-11-111-1-111-1-111-1-1-1-1-1-111-1-11-1-11
χ101111111111111111-1-111-1-11111-11-11-1-1-1-1-1-11111-1-111-1-111-1-1-111-1
χ111111111111111111-1-111-1-1-1-1-1-11-11-111-1-111-1-111-1-1-1-111-1-111-111-1
χ121111111111111111-1-111-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-11111-1-1111-1-11
χ131111111111111111-1-1-1-11111111-1-1111-1-1-1-111-1-111-1-1-1-1-1-111-1-111
χ141111111111111111-1-1-1-1111111-111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-111-1-1-1-11-1-1111-1-1-1-111-1-111-1-11111-1-111-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ1722222222-1-1-1-1-1-1-1-122222200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1822222222-1-1-1-1-1-1-1-12222220000-2-2-2-211-1-11111-1-1-1-1110000000000
χ1922222222-1-1-1-1-1-1-1-122-2-2-2-2000022-2-2-1-1-1-111111111-1-10000000000
χ2022222222-1-1-1-1-1-1-1-122-2-2-2-20000-2-22211-1-1-1-1-1-11111110000000000
χ2122222222-1-1-1-1-1-1-1-1-2-222-2-200002-22-2-1-111-1-111-1-111110000000000
χ2222222222-1-1-1-1-1-1-1-1-2-222-2-20000-22-22111111-1-1-1-111-1-10000000000
χ2322222222-1-1-1-1-1-1-1-1-2-2-2-22200002-2-22-1-11111-1-111-1-1110000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2-2-2220000-222-21111-1-11111-1-1-1-10000000000
χ252222-2-2-2-222-2-22-2-222-200002i2i−2i−2i0000002-200000000002i−2i00000000
χ262222-2-2-2-222-2-22-2-222-20000−2i−2i2i2i0000002-20000000000−2i2i00000000
χ272222-2-2-2-222-2-22-2-22-2200002i2i−2i−2i000000-220000000000−2i2i00000000
χ282222-2-2-2-222-2-22-2-22-220000−2i−2i2i2i000000-2200000000002i−2i00000000
χ2922-2-22-22-22-22-222-2-200002i−2i2-22-2000000000000002i−2i0000002i−2i0000
χ3022-2-22-22-22-22-222-2-200002i−2i-22-22000000000000002i−2i000000−2i2i0000
χ3122-2-22-22-22-22-222-2-20000−2i2i2-22-200000000000000−2i2i000000−2i2i0000
χ3222-2-22-22-22-22-222-2-20000−2i2i-22-2200000000000000−2i2i0000002i−2i0000
χ3322-2-2-22-222-2-222-22-2002i−2i002i−2i−2i2i0000000000002i−2i0000002-2000000
χ3422-2-2-22-222-2-222-22-2002i−2i00−2i2i2i−2i0000000000002i−2i000000-22000000
χ3522-2-2-22-222-2-222-22-200−2i2i002i−2i−2i2i000000000000−2i2i000000-22000000
χ3622-2-2-22-222-2-222-22-200−2i2i00−2i2i2i−2i000000000000−2i2i0000002-2000000
χ374444-4-4-4-4-2-222-222-24-400000000000000-2200000000000000000000
χ384444-4-4-4-4-2-222-222-2-44000000000000002-200000000000000000000
χ3944-4-44-44-4-22-22-2-22200004i−4i000000000000000000−2i2i000000000000
χ4044-4-44-44-4-22-22-2-2220000−4i4i0000000000000000002i−2i000000000000
χ4144-4-4-44-44-222-2-22-22004i−4i000000000000000000−2i2i00000000000000
χ4244-4-4-44-44-222-2-22-2200−4i4i0000000000000000002i−2i00000000000000
χ434-44-444-4-44444-4-4-4-400000000000000000000000000000000000000
χ444-44-444-4-4-2-2-2-2222200000000000000−2i32i30000000000000000000000
χ454-44-444-4-4-2-2-2-22222000000000000002i3−2i30000000000000000000000
χ464-44-4-4-44444-4-4-444-400000000000000000000000000000000000000
χ474-44-4-4-444-2-2222-2-220000000000000000000000000023−230000000000
χ484-44-4-4-444-2-2222-2-2200000000000000000000000000−23230000000000
χ494-4-444-4-444-44-4-4-44400000000000000000000000000000000000000
χ504-4-444-4-44-22-2222-2-200000000000000000000−2i32i30000000000000000
χ514-4-444-4-44-22-2222-2-2000000000000000000002i3−2i30000000000000000
χ524-4-44-444-44-4-44-44-4400000000000000000000000000000000000000
χ534-4-44-444-4-222-22-22-2000000000000000000−2i32i3000000000000000000
χ544-4-44-444-4-222-22-22-20000000000000000002i3−2i3000000000000000000

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