Finite Group Databasebeta

← Group #77056

Character table — Group #77056

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11111111222222224444448888888888888888881212121212121212121212122424
order1222222236666666224444244466661212121212121212121244444444444424
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11-1
χ411111111111111111111-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ5111111111111111111-1-111-11-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111-1
χ6111111111111111111-1-111-11-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-11
χ7111111111111111111-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ8111111111111111111-1-1-1-11-11-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1
χ91111111111111111-1-11111-1-11-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-11
χ101111111111111111-1-11111-1-11-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1111-1
χ111111111111111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ121111111111111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-111
χ131111111111111111-1-1-1-1111-1-11-1-111-1-111-1-111-1-11111-1-11111-1-1-1-1
χ141111111111111111-1-1-1-1111-1-11-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111
χ151111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-11
χ161111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11-1
χ1722222222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ1822222222-1-1-1-1-1-1-1-12222-2-2-2-2-22-1-111-1-1-1-111111100000000000000
χ1922222222-1-1-1-1-1-1-1-122-2-222-22-2-2-1-1111111-1-1-1-11100000000000000
χ2022222222-1-1-1-1-1-1-1-122-2-2-2-22-22-2-1-1-1-111111111-1-100000000000000
χ2122222222-1-1-1-1-1-1-1-1-2-22222-2-22-21111-1-11111-1-1-1-100000000000000
χ2222222222-1-1-1-1-1-1-1-1-2-222-2-222-2-211-1-1-1-111-1-1111100000000000000
χ2322222222-1-1-1-1-1-1-1-1-2-2-2-2222-2-2211-1-111-1-111-1-11100000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2222111111-1-1-1-111-1-100000000000000
χ25222-2-22-2-22-2-2-2222-2002-200000000002-2000000000000002i−2i002i−2i00
χ26222-2-22-2-22-2-2-2222-2002-200000000002-200000000000000−2i2i00−2i2i00
χ27222-2-22-2-22-2-2-2222-200-220000000000-22000000000000002i−2i00−2i2i00
χ28222-2-22-2-22-2-2-2222-200-220000000000-2200000000000000−2i2i002i−2i00
χ2922-222-2-2-222-2-22-2-222-2000000002-2000000000000002i−2i2i−2i00000000
χ3022-222-2-2-222-2-22-2-222-2000000002-200000000000000−2i2i−2i2i00000000
χ3122-222-2-2-222-2-22-2-22-2200000000-22000000000000002i−2i−2i2i00000000
χ3222-222-2-2-222-2-22-2-22-2200000000-2200000000000000−2i2i2i−2i00000000
χ332-22-22-22-2222-2-22-2-200002i−2i000000000000002i−2i002-20000002i−2i0000
χ342-22-22-22-2222-2-22-2-200002i−2i000000000000002i−2i00-22000000−2i2i0000
χ352-22-22-22-2222-2-22-2-20000−2i2i00000000000000−2i2i002-2000000−2i2i0000
χ362-22-22-22-2222-2-22-2-20000−2i2i00000000000000−2i2i00-220000002i−2i0000
χ37444-4-44-4-4-2222-2-2-22004-40000000000-220000000000000000000000
χ38444-4-44-4-4-2222-2-2-2200-4400000000002-20000000000000000000000
χ3944-444-4-4-4-2-222-222-24-400000000-2200000000000000000000000000
χ4044-444-4-4-4-2-222-222-2-44000000002-200000000000000000000000000
χ4144-4-4-4-4444-4444-4-4-400000000000000000000000000000000000000
χ4244-4-4-4-444-22-2-2-2222000000000000000023−2300000000000000000000
χ4344-4-4-4-444-22-2-2-22220000000000000000−232300000000000000000000
χ444-444-4-4-444-4-44-44-4400000000000000000000000000000000000000
χ454-444-4-4-44-222-22-22-20000000000000000000000−2i32i300000000000000
χ464-444-4-4-44-222-22-22-200000000000000000000002i3−2i300000000000000
χ474-44-44-44-4-2-2-222-22200004i−4i00000000000000−2i2i0000000000000000
χ484-44-44-44-4-2-2-222-2220000−4i4i000000000000002i−2i0000000000000000
χ494-4-44-444-44-44-4-4-44400000000000000000000000000000000000000
χ504-4-44-444-4-22-2222-2-2000000000000−2i32i3000000000000000000000000
χ514-4-44-444-4-22-2222-2-20000000000002i3−2i3000000000000000000000000
χ524-4-4-444-4444-44-4-44-400000000000000000000000000000000000000
χ534-4-4-444-44-2-22-222-2200000000000000000023−23000000000000000000
χ544-4-4-444-44-2-22-222-22000000000000000000−2323000000000000000000

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