Finite Group Databasebeta

← Group #11717395

Character table — Group #11717395

Order 800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size112444444448888888820202020252540404040404040405050505050
order122555510101010510101010101010224444101010102020202048888
χ111111111111111111111111111111111111111
χ211111111111111111111-11-11111-1-111-1-11-1-1-1-1
χ31111111111111111111-11-1111-1-111-1-1111-1-1-1-1
χ41111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111
χ511-1111111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111-1-1
χ611-1111111111-1-1-1-11-1-11-1-11-1-111-1-1-1-1111-1-111
χ711-1111111111-1-1-1-11-1-1-111-1-1-1-1-11111-1-11-1-111
χ811-1111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111111-1-1
χ922222222222222222220000-2-200000000-20000
χ1022-2222222222-2-2-2-22-2-200002200000000-20000
χ112-202222-2-2-2-220000-20000002i−2i0000000002−2i2−i2
χ122-202222-2-2-2-220000-20000002i−2i000000000−22−i2i2
χ132-202222-2-2-2-220000-2000000−2i2i0000000002−2−i2i2
χ142-202222-2-2-2-220000-2000000−2i2i000000000−22i2−i2
χ15444−1+53−523+52−1−5−1+53−523+52−1−5-1−1+53−523+52−1−5-1-1-102020000−1+52−1−5200−1+52−1−5200000
χ16444−1+53−523+52−1−5−1+53−523+52−1−5-1−1+53−523+52−1−5-1-1-10-20-200001−521+52001−521+5200000
χ174443−52−1−5−1+53+523−52−1−5−1+53+52-13−52−1−5−1+53+52-1-1-1202000−1+52−1−5200−1+52−1−520000000
χ184443−52−1−5−1+53+523−52−1−5−1+53+52-13−52−1−5−1+53+52-1-1-1-20-20001−521+52001−521+520000000
χ194443+52−1+5−1−53−523+52−1+5−1−53−52-13+52−1+5−1−53−52-1-1-1202000−1−52−1+5200−1−52−1+520000000
χ204443+52−1+5−1−53−523+52−1+5−1−53−52-13+52−1+5−1−53−52-1-1-1-20-20001+521−52001+521−520000000
χ21444−1−53+523−52−1+5−1−53+523−52−1+5-1−1−53+523−52−1+5-1-1-102020000−1−52−1+5200−1−52−1+5200000
χ22444−1−53+523−52−1+5−1−53+523−52−1+5-1−1−53+523−52−1+5-1-1-10-20-200001+521−52001+521−5200000
χ2344-4−1+53−523+52−1−5−1+53−523+52−1−5-11−5−3+52−3−521+5-111020-20000−1+52−1−52001−521+5200000
χ2444-4−1+53−523+52−1−5−1+53−523+52−1−5-11−5−3+52−3−521+5-1110-20200001−521+5200−1+52−1−5200000
χ2544-43−52−1−5−1+53+523−52−1−5−1+53+52-1−3+521+51−5−3−52-11120-2000−1+52−1−52001−521+520000000
χ2644-43−52−1−5−1+53+523−52−1−5−1+53+52-1−3+521+51−5−3−52-111-2020001−521+5200−1+52−1−520000000
χ2744-43+52−1+5−1−53−523+52−1+5−1−53−52-1−3−521−51+5−3+52-11120-2000−1−52−1+52001+521−520000000
χ2844-43+52−1+5−1−53−523+52−1+5−1−53−52-1−3−521−51+5−3+52-111-2020001+521−5200−1−52−1+520000000
χ2944-4−1−53+523−52−1+5−1−53+523−52−1+5-11+5−3−52−3+521−5-111020-20000−1−52−1+52001+521−5200000
χ3044-4−1−53+523−52−1+5−1−53+523−52−1+5-11+5−3−52−3+521−5-1110-20200001+521−5200−1−52−1+5200000
χ31888-2-2-2-2-2-2-2-23-2-2-2-23330000000000000000000
χ3288-8-2-2-2-2-2-2-2-2322223-3-30000000000000000000
χ338-80-2-2-2-2222230000-35-50000000000000000000
χ348-80-2-2-2-2222230000-3-550000000000000000000
χ358-80−2+253−53+5−2−252−25−3+5−3−52+25-200002000000000000000000000
χ368-803−5−2−25−2+253+5−3+52+252−25−3−5-200002000000000000000000000
χ378-803+5−2+25−2−253−5−3−52−252+25−3+5-200002000000000000000000000
χ388-80−2−253+53−5−2+252+25−3−5−3+52−25-200002000000000000000000000

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