Finite Group Databasebeta

← Group #77150

Character table — Group #77150

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11111111222222224444448888888888888888881212121212121212121212122424
order1222222236666666222244444466661212121212121212121222444444444444
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-11
χ411111111111111111111-1-1-1-11-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1
χ5111111111111111111-1-1111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-11
χ6111111111111111111-1-1111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11-1
χ7111111111111111111-1-1-1-1-11-1111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-11-1111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1
χ91111111111111111-1-11111-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1111-1
χ101111111111111111-1-11111-1-1-11-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-11
χ111111111111111111-1-111-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ121111111111111111-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ131111111111111111-1-1-1-111-111-1-1-1-1-111-1-11111-1-111-1-111-1-11111-1-1
χ141111111111111111-1-1-1-111-111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-111
χ151111111111111111-1-1-1-1-1-11-111-1-1-1-1-1-111-1-111111111-1-1-1-111-1-11-1
χ161111111111111111-1-1-1-1-1-11-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-11
χ1722222222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ1822222222-1-1-1-1-1-1-1-12222-2-2-2-22-2-1-1-1-1111111-1-11100000000000000
χ1922222222-1-1-1-1-1-1-1-122-2-2222-2-2-2-1-111-1-1-1-111111100000000000000
χ2022222222-1-1-1-1-1-1-1-122-2-2-2-2-22-22-1-1111111-1-111-1-100000000000000
χ2122222222-1-1-1-1-1-1-1-1-2-22222-2-2-2211-1-1-1-1111111-1-100000000000000
χ2222222222-1-1-1-1-1-1-1-1-2-222-2-222-2-211-1-111-1-1-1-1111100000000000000
χ2322222222-1-1-1-1-1-1-1-1-2-2-2-222-222-21111-1-111-1-1-1-11100000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2-2-2-2-22-222111111-1-111-1-1-1-100000000000000
χ25222-2-22-2-222-2-22-2-222-2000000002-2000000000000002i−2i0000002i−2i00
χ26222-2-22-2-222-2-22-2-222-2000000002-200000000000000−2i2i000000−2i2i00
χ27222-2-22-2-222-2-22-2-22-2200000000-22000000000000002i−2i000000−2i2i00
χ28222-2-22-2-222-2-22-2-22-2200000000-2200000000000000−2i2i0000002i−2i00
χ292-22-22-22-22-2222-2-2-200002i−2i000000002i−2i0000000000002-2002i−2i0000
χ302-22-22-22-22-2222-2-2-200002i−2i000000002i−2i000000000000-2200−2i2i0000
χ312-22-22-22-22-2222-2-2-20000−2i2i00000000−2i2i0000000000002-200−2i2i0000
χ322-22-22-22-22-2222-2-2-20000−2i2i00000000−2i2i000000000000-22002i−2i0000
χ332-2-2-222-222-22-2-22-22002-2000000002-200000000002-200002-2000000
χ342-2-2-222-222-22-2-22-22002-2000000002-20000000000-220000-22000000
χ352-2-2-222-222-22-2-22-2200-2200000000-2200000000002-20000-22000000
χ362-2-2-222-222-22-2-22-2200-2200000000-220000000000-2200002-2000000
χ37444-4-44-4-4-2-222-222-24-400000000-2200000000000000000000000000
χ38444-4-44-4-4-2-222-222-2-44000000002-200000000000000000000000000
χ3944-444-4-4-4444-4-4-44-400000000000000000000000000000000000000
χ4044-444-4-4-4-2-2-2222-22000000000000000000000023−2300000000000000
χ4144-444-4-4-4-2-2-2222-220000000000000000000000−232300000000000000
χ4244-4-4-4-44444-44-44-4-400000000000000000000000000000000000000
χ4344-4-4-4-444-2-22-22-22200000000000000000023−23000000000000000000
χ4444-4-4-4-444-2-22-22-222000000000000000000−2323000000000000000000
χ454-444-4-4-444-4-4-4444-400000000000000000000000000000000000000
χ464-444-4-4-44-2222-2-2-220000000000000000−2i32i300000000000000000000
χ474-444-4-4-44-2222-2-2-2200000000000000002i3−2i300000000000000000000
χ484-44-44-44-4-22-2-2-222200004i−4i00000000−2i2i0000000000000000000000
χ494-44-44-44-4-22-2-2-22220000−4i4i000000002i−2i0000000000000000000000
χ504-4-44-444-44-4-44-4-44400000000000000000000000000000000000000
χ514-4-44-444-4-222-222-2-200000000000000000000−2i32i30000000000000000
χ524-4-44-444-4-222-222-2-2000000000000000000002i3−2i30000000000000000
χ534-4-4-444-44-22-222-22-2004-400000000-22000000000000000000000000
χ544-4-4-444-44-22-222-22-200-44000000002-2000000000000000000000000

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