Finite Group Databasebeta

← Group #14519512

Character table — Group #14519512

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size12444488888888888888888888888888882727818181108108108108162162162243243
order13333333333333333333333333333333332224466666121244
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111111-1-1-1-1
χ311111111111111111111111111111111111-1-1i−i11-1-1-1i−ii−i
χ411111111111111111111111111111111111-1-1−ii11-1-1-1−ii−ii
χ51111111111111111111111111111111111-11-1i−i-1-111-1i−i−ii
χ61111111111111111111111111111111111-11-1−ii-1-111-1−iii−i
χ71111111111111111111111111111111111-1-1111-1-1-1-1111-1-1
χ81111111111111111111111111111111111-1-11-1-1-1-1-1-11-1-111
χ92-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002220000-1-1-100
χ102-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002-2-20000-11100
χ112-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-22i−2i00001−ii00
χ122-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2−2i2i00001i−i00
χ1344144-21111-2-2-2-211111111144-2-2-2-2-2-2-2-2-204000001-200000
χ1444144-21111-2-2-2-211111111144-2-2-2-2-2-2-2-2-20-400000-1200000
χ154441-2411-2-211-2-211114-2-2-2-21-211114-2-2-2-2400001-20000000
χ164441-2411-2-211-2-211114-2-2-2-21-211114-2-2-2-2-40000-120000000
χ17444-214-2-211-2-211-2-2-2-241111-21-2-2-2-24111140000-210000000
χ18444-214-2-211-2-211-2-2-2-241111-21-2-2-2-241111-400002-10000000
χ1944-2441-2-2-2-21111-2-2-2-2-2-2-2-2-2441111111110400000-2100000
χ2044-2441-2-2-2-21111-2-2-2-2-2-2-2-2-2441111111110-4000002-100000
χ218822-4-45-4-1-1-1-12255-4-42-1-1-1-12-4-1-1-1-1-4222200000000000000
χ228822-4-4-45-1-1-1-122-4-4552-1-1-1-12-4-1-1-1-1-4222200000000000000
χ23882-42-4-1-15-422-1-1-1-1-1-1255-4-4-422222-4-1-1-1-100000000000000
χ24882-42-4-1-1-4522-1-1-1-1-1-12-4-455-422222-4-1-1-1-100000000000000
χ2588-42-42-1-1225-4-1-1-1-1-1-1-422222-455-4-42-1-1-1-100000000000000
χ2688-42-42-1-122-45-1-1-1-1-1-1-422222-4-4-4552-1-1-1-100000000000000
χ2788-4-42222-1-1-1-15-42222-4-1-1-1-1-42-1-1-1-1255-4-400000000000000
χ2888-4-42222-1-1-1-1-452222-4-1-1-1-1-42-1-1-1-12-4-45500000000000000
χ298-422-4-45-4-1-1-1-122−5+3i32−5−3i3222-11−3i321+3i321−3i321+3i32-121−3i321+3i321−3i321+3i322-1-1−1−3i3−1+3i300000000000000
χ308-422-4-45-4-1-1-1-122−5−3i32−5+3i3222-11+3i321−3i321+3i321−3i32-121+3i321−3i321+3i321−3i322-1-1−1+3i3−1−3i300000000000000
χ318-422-4-4-45-1-1-1-12222−5+3i32−5−3i32-11−3i321+3i321+3i321−3i32-121−3i321+3i321+3i321−3i322−1−3i3−1+3i3-1-100000000000000
χ328-422-4-4-45-1-1-1-12222−5−3i32−5+3i32-11+3i321−3i321−3i321+3i32-121+3i321−3i321−3i321+3i322−1+3i3−1−3i3-1-100000000000000
χ338-4288-42222-4-4-4-4-1-1-1-1-1-1-1-1-1-4-422222222200000000000000
χ348-42-42-4-1-15-422-1-11−3i321+3i321−3i321+3i32-1−5−3i32−5+3i32222-1−1+3i3−1−3i3-1-121−3i321+3i321−3i321+3i3200000000000000
χ358-42-42-4-1-15-422-1-11+3i321−3i321+3i321−3i32-1−5+3i32−5−3i32222-1−1−3i3−1+3i3-1-121+3i321−3i321+3i321−3i3200000000000000
χ368-42-42-4-1-1-4522-1-11−3i321+3i321+3i321−3i32-122−5−3i32−5+3i322-1-1-1−1+3i3−1−3i321+3i321−3i321−3i321+3i3200000000000000
χ378-42-42-4-1-1-4522-1-11+3i321−3i321−3i321+3i32-122−5+3i32−5−3i322-1-1-1−1−3i3−1+3i321−3i321+3i321+3i321−3i3200000000000000
χ388-482-4822-4-422-4-4-1-1-1-1-42222-12-1-1-1-1-4222200000000000000
χ398-48-428-4-422-4-4222222-4-1-1-1-12-12222-4-1-1-1-100000000000000
χ408-4-42-42-1-1225-4-1-11−3i321+3i321−3i321+3i322−1+3i3−1−3i3-1-1-12−5−3i32−5+3i3222-11−3i321+3i321−3i321+3i3200000000000000
χ418-4-42-42-1-1225-4-1-11+3i321−3i321+3i321−3i322−1−3i3−1+3i3-1-1-12−5+3i32−5−3i3222-11+3i321−3i321+3i321−3i3200000000000000
χ428-4-42-42-1-122-45-1-11−3i321+3i321+3i321−3i322-1-1−1+3i3−1−3i3-1222−5−3i32−5+3i32-11+3i321−3i321−3i321+3i3200000000000000
χ438-4-42-42-1-122-45-1-11+3i321−3i321−3i321+3i322-1-1−1−3i3−1+3i3-1222−5+3i32−5−3i32-11−3i321+3i321+3i321−3i3200000000000000
χ448-4-4882-4-4-4-42222222222222-4-4-1-1-1-1-1-1-1-1-100000000000000
χ458-4-4-42222-1-1-1-15-4-1-1−1−3i3−1+3i321−3i321+3i321+3i321−3i322-11−3i321+3i321+3i321−3i32-1−5+3i32−5−3i322200000000000000
χ468-4-4-42222-1-1-1-15-4-1-1−1+3i3−1−3i321+3i321−3i321−3i321+3i322-11+3i321−3i321−3i321+3i32-1−5−3i32−5+3i322200000000000000
χ478-4-4-42222-1-1-1-1-45−1−3i3−1+3i3-1-121−3i321+3i321−3i321+3i322-11−3i321+3i321−3i321+3i32-122−5+3i32−5−3i3200000000000000
χ488-4-4-42222-1-1-1-1-45−1+3i3−1−3i3-1-121+3i321−3i321+3i321−3i322-11+3i321−3i321+3i321−3i32-122−5−3i32−5+3i3200000000000000

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