Finite Group Databasebeta

← Group #11717394

Character table — Group #11717394

Order 800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size112444444444444888888202020202020202020202020404040405050100100
order122555510101010101010105101010101022241010101010101010101020204488
χ111111111111111111111111111111111111111111
χ211111111111111111111111-1-111111111-1-1-1-111-1-1
χ3111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1111111-1-1-1-1111-1-11-1-11-11-11111-1-1-1-111-1-1-111-1
χ611-1111111-1-1-1-1111-1-11-1-11-1-111111-1-1-1-1-1-111-11-11
χ711-1111111-1-1-1-1111-1-11-1-1-111-1-1-1-1-1111111-1-1-11-11
χ811-1111111-1-1-1-1111-1-11-1-1-11-11-1-1-1-11111-1-111-111-1
χ92222222222222222222220000000000000000-2-200
χ1022-2222222-2-2-2-2222-2-22-2-200000000000000002-200
χ11444−1+5−1−53+523−523+523−523+523+523−523−52−1+5−1−5-1−1+5−1−5-1-1-12200−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ12444−1+5−1−53+523−523+523−523+523+523−523−52−1+5−1−5-1−1+5−1−5-1-1-1-2-2001−521−521+521+521−521−521+521+5200000000
χ13444−1−5−1+53−523+523−523+523−523−523+523+52−1−5−1+5-1−1−5−1+5-1-1-12200−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ14444−1−5−1+53−523+523−523+523−523−523+523+52−1−5−1+5-1−1−5−1+5-1-1-1-2-2001+521+521−521−521+521+521−521−5200000000
χ154443+523−52−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+53+523−52-13+523−52-1-1-1002200000000−1−52−1+52−1−52−1+520000
χ164443+523−52−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+53+523−52-13+523−52-1-1-100-2-2000000001+521−521+521−520000
χ174443−523+52−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−53−523+52-13−523+52-1-1-1002200000000−1+52−1−52−1+52−1−520000
χ184443−523+52−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−53−523+52-13−523+52-1-1-100-2-2000000001−521+521−521+520000
χ1944-4−1+5−1−53+523−523+523−52−3−52−3−52−3+52−3+52−1+5−1−5-11−51+5-1112-200−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ2044-4−1+5−1−53+523−523+523−52−3−52−3−52−3+52−3+52−1+5−1−5-11−51+5-111-22001−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ2144-4−1−5−1+53−523+523−523+52−3+52−3+52−3−52−3−52−1−5−1+5-11+51−5-1112-200−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ2244-4−1−5−1+53−523+523−523+52−3+52−3+52−3−52−3−52−1−5−1+5-11+51−5-111-22001+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ2344-43+523−52−1−5−1+5−1−5−1+51+51+51−51−53+523−52-1−3−52−3+52-111002-200000000−1−52−1+521+521−520000
χ2444-43+523−52−1−5−1+5−1−5−1+51+51+51−51−53+523−52-1−3−52−3+52-11100-22000000001+521−52−1−52−1+520000
χ2544-43−523+52−1+5−1−5−1+5−1−51−51−51+51+53−523+52-1−3+52−3−52-111002-200000000−1+52−1−521−521+520000
χ2644-43−523+52−1+5−1−5−1+5−1−51−51−51+51+53−523+52-1−3+52−3−52-11100-22000000001−521+52−1+52−1−520000
χ274-404444-4-40000-4-4400-40000000000000000000000
χ284-40−1+5−1−53+523−52−3−52−3+525−52−5+525+52−5−521−51+5-1001−550000ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300000000
χ294-40−1+5−1−53+523−52−3−52−3+525−52−5+525+52−5−521−51+5-1001−550000−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300000000
χ304-40−1+5−1−53+523−52−3−52−3+52−5+525−52−5−525+521−51+5-10015−50000ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300000000
χ314-40−1+5−1−53+523−52−3−52−3+52−5+525−52−5−525+521−51+5-10015−50000−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300000000
χ324-40−1−5−1+53−523+52−3+52−3−525+52−5−525−52−5+521+51−5-10015−50000ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400000000
χ334-40−1−5−1+53−523+52−3+52−3−525+52−5−525−52−5+521+51−5-10015−50000−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400000000
χ344-40−1−5−1+53−523+52−3+52−3−52−5−525+52−5+525−521+51−5-1001−550000ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400000000
χ354-40−1−5−1+53−523+52−3+52−3−52−5−525+52−5+525−521+51−5-1001−550000−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400000000
χ36888-2-2-2-2-2-2-2-2-2-2-2-23-2-233300000000000000000000
χ3788-8-2-2-2-2-2-22222-2-23223-3-300000000000000000000
χ388-80-2-2-2-222−252525−2522300-35−500000000000000000000
χ398-80-2-2-2-22225−25−252522300-3−5500000000000000000000
χ408-803+53−5−2−25−2+252+252−250000−3−5−3+5-20020000000000000000000000
χ418-803−53+5−2+25−2−252−252+250000−3+5−3−5-20020000000000000000000000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).