Finite Group Databasebeta

← Group #79234

Character table — Group #79234

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1111222222444444444444446688888888888888812121212122424242424
order1222344666244444668812121212444481212121212121212242424242448824448
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-111-1-11111111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1
χ411111111111111-1-111-1-11111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ511111111111-1-111111-1-1111111-11-1-1-1-1-11111-1-1-1-1111-1-11-1-11-1
χ611111111111-1-111111-1-11111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-111-111-11
χ711111111111-1-11-1-11111111111-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-11
χ811111111111-1-11-1-111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1
χ91111111111-111-111-1-1111-1-1111-1-1-111-1-111-1-111-1-1-11-11111-1-1-1
χ101111111111-111-111-1-1111-1-11-1-1-1-1-111-1-111-1-111-1-11-11-1-1-1-1111
χ111111111111-111-1-1-1-1-1-1-11-1-1111-11111-1-1-1-111-1-111-11-1-1-1-11-111
χ121111111111-111-1-1-1-1-1-1-11-1-11-1-1-11111-1-1-1-111-1-1111-11111-11-1-1
χ131111111111-1-1-1-111-1-1-1-11-1-11111-11-1-11111-1-1-1-111-11-1-1-11-11-11
χ141111111111-1-1-1-111-1-1-1-11-1-11-1-11-11-1-11111-1-1-1-1111-1111-11-11-1
χ151111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-111-1-11111-1-1-11-111-1-111-1
χ161111111111-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-111-1-11111-1-11-11-1-111-1-11
χ1722222-2-2222200-2002200-2-2-2-2220000000000000002-2-20000000
χ1822222-2-2222200-2002200-2-2-2-2-2-2000000000000000-2220000000
χ1922222-2-2222-200200-2-200-222-222000000000000000-2-220000000
χ2022222-2-2222-200200-2-200-222-2-2-200000000000000022-20000000
χ212222-122-1-1-1222222-1-122-1-1-1-100222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ222222-122-1-1-12222-2-2-1-1-2-2-1-1-1-1002-2-2-1-1-1-1111111110000000000
χ232222-122-1-1-12-2-2222-1-1-2-2-1-1-1-100-22-21111-1-1-1-111110000000000
χ242222-122-1-1-12-2-22-2-2-1-122-1-1-1-100-2-2211111111-1-1-1-10000000000
χ252222-122-1-1-1-222-2221122-111-100-2-2-2-1-111-1-111-1-1110000000000
χ262222-122-1-1-1-222-2-2-211-2-2-111-100-222-1-11111-1-111-1-10000000000
χ272222-122-1-1-1-2-2-2-22211-2-2-111-1002-2211-1-1-1-11111-1-10000000000
χ282222-122-1-1-1-2-2-2-2-2-21122-111-10022-211-1-111-1-1-1-1110000000000
χ292-22-22-222-2-202i−2i02i−2i002-2-2002000002i−2i002i−2i002-2000000000000
χ302-22-22-222-2-202i−2i0−2i2i00-22-2002000002i−2i00−2i2i00-22000000000000
χ312-22-22-222-2-20−2i2i02i−2i00-22-200200000−2i2i002i−2i00-22000000000000
χ322-22-22-222-2-20−2i2i0−2i2i002-2-200200000−2i2i00−2i2i002-2000000000000
χ332-22-2-1-22-11102i−2i02i−2i−i3i32-21−i3i3-100000−ii3−3−ii3−3-11−i3i30000000000
χ342-22-2-1-22-11102i−2i02i−2ii3−i32-21i3−i3-100000−ii−33−ii−33-11i3−i30000000000
χ352-22-2-1-22-11102i−2i0−2i2i−i3i3-221−i3i3-100000−ii3−3i−i−331-1i3−i30000000000
χ362-22-2-1-22-11102i−2i0−2i2ii3−i3-221i3−i3-100000−ii−33i−i3−31-1−i3i30000000000
χ372-22-2-1-22-1110−2i2i02i−2i−i3i3-221−i3i3-100000i−i−33−ii3−31-1i3−i30000000000
χ382-22-2-1-22-1110−2i2i02i−2ii3−i3-221i3−i3-100000i−i3−3−ii−331-1−i3i30000000000
χ392-22-2-1-22-1110−2i2i0−2i2i−i3i32-21−i3i3-100000i−i−33i−i−33-11−i3i30000000000
χ402-22-2-1-22-1110−2i2i0−2i2ii3−i32-21i3−i3-100000i−i3−3i−i3−3-11i3−i30000000000
χ414444-2-4-4-2-2-2400-400-2-2002222000000000000000000000000000
χ424444-2-4-4-2-2-2-40040022002-2-22000000000000000000000000000
χ4344-4-4400-44-4000000000000000000000000000000000022−2200000
χ4444-4-4400-44-40000000000000000000000000000000000−222200000
χ454-44-444-44-4-40000000000400-4000000000000000000000000000
χ464-44-4-24-4-222000000−2i32i300-22i3−2i32000000000000000000000000000
χ474-44-4-24-4-2220000002i3−2i300-2−2i32i32000000000000000000000000000
χ484-4-44400-4-44000000000000004-40000000000000000000000000
χ494-4-44400-4-4400000000000000-440000000000000000000000000
χ5088-8-8-4004-4400000000000000000000000000000000000000000
χ518-8-88-40044-400000000000000000000000000000000000000000

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