Finite Group Databasebeta

← Group #76828

Character table — Group #76828

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11111111222222224444448888888888888888881212121212121212121212122424
order122222223666666644444424446612121212121212121212121222444444444444
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-11-1
χ411111111111111111111-1-11-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-11
χ5111111111111111111-1-111-1-1-11-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-11
χ6111111111111111111-1-111-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1111-1
χ7111111111111111111-1-1-1-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ8111111111111111111-1-1-1-1-111-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-111
χ91111111111111111-1-11111-1-11-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-11
χ101111111111111111-1-11111-1-11-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-11-1
χ111111111111111111-1-111-1-1-11-11-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1
χ121111111111111111-1-111-1-1-11-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ131111111111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111
χ141111111111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1
χ151111111111111111-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-11
χ1722222222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ1822222222-1-1-1-1-1-1-1-12222-2-22-2-2-2-1-1-1-11111-1-1111100000000000000
χ1922222222-1-1-1-1-1-1-1-122-2-222-2-2-2211-1-1-1-11111-1-11100000000000000
χ2022222222-1-1-1-1-1-1-1-122-2-2-2-2-222-211-1-111-1-11111-1-100000000000000
χ2122222222-1-1-1-1-1-1-1-1-2-22222-2-22-211111111-1-1-1-1-1-100000000000000
χ2222222222-1-1-1-1-1-1-1-1-2-222-2-2-22-221111-1-1-1-1-1-1111100000000000000
χ2322222222-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-1-11111-1-111-1-11100000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2-2-2-2-22-222-1-111-1-1111111-1-100000000000000
χ2522-22-22-2-222-2-22-2-22002-2000000000000002-20000002i−2i002i−2i000000
χ2622-22-22-2-222-2-22-2-22002-2000000000000002-2000000−2i2i00−2i2i000000
χ2722-22-22-2-222-2-22-2-2200-2200000000000000-220000002i−2i00−2i2i000000
χ2822-22-22-2-222-2-22-2-2200-2200000000000000-22000000−2i2i002i−2i000000
χ2922-2-22-22-222-2-2-222-22i−2i00000000002i−2i00000000002-20000002i−2i0000
χ3022-2-22-22-222-2-2-222-22i−2i00000000002i−2i0000000000-22000000−2i2i0000
χ3122-2-22-22-222-2-2-222-2−2i2i0000000000−2i2i00000000002-2000000−2i2i0000
χ3222-2-22-22-222-2-2-222-2−2i2i0000000000−2i2i0000000000-220000002i−2i0000
χ332-2-2-222-222-22-2-22-2200002-2000000000000002-20000002-200002-200
χ342-2-2-222-222-22-2-22-2200002-2000000000000002-2000000-220000-2200
χ352-2-2-222-222-22-2-22-220000-2200000000000000-220000002-20000-2200
χ362-2-2-222-222-22-2-22-220000-2200000000000000-22000000-2200002-200
χ37444-4-4-4-444444-4-4-4-400000000000000000000000000000000000000
χ38444-4-4-4-44-2-2-2-222220000000000−2i32i300000000000000000000000000
χ39444-4-4-4-44-2-2-2-2222200000000002i3−2i300000000000000000000000000
χ4044-44-44-4-4-2-222-222-2004-400000000000000-22000000000000000000
χ4144-44-44-4-4-2-222-222-200-44000000000000002-2000000000000000000
χ4244-4-44-44-4-2-2222-2-224i−4i0000000000−2i2i000000000000000000000000
χ4344-4-44-44-4-2-2222-2-22−4i4i00000000002i−2i000000000000000000000000
χ444-4444-4-4-44-4-4444-4-400000000000000000000000000000000000000
χ454-4444-4-4-4-222-2-2-2220000000000000023−230000000000000000000000
χ464-4444-4-4-4-222-2-2-22200000000000000−23230000000000000000000000
χ474-44-4-444-44-4-44-4-44400000000000000000000000000000000000000
χ484-44-4-444-4-222-222-2-20000000000000000000000−2i32i300000000000000
χ494-44-4-444-4-222-222-2-200000000000000000000002i3−2i300000000000000
χ504-4-44-4-4444-44-44-44-400000000000000000000000000000000000000
χ514-4-44-4-444-22-22-22-22000000000000000023−2300000000000000000000
χ524-4-44-4-444-22-22-22-220000000000000000−232300000000000000000000
χ534-4-4-444-44-22-222-22-200004-400000000000000-220000000000000000
χ544-4-4-444-44-22-222-22-20000-44000000000000002-20000000000000000

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