Finite Group Databasebeta

← Group #13103383

Character table — Group #13103383

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111188888888888820202020202025252525404040404040404040404040100100100100100100100100
order1222555101010101010101010444444222220202020202020202020202044444444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111-1-1111111111111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111-1-11111111111-1-1-1-11111-1-111-1-1-1-1
χ4111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111111111-1-1-1-111111111-1-1-1-111-1-1
χ61111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ92222222222222222000000-2-2-2-20000000000000000002i−2i
χ102222222222222222000000-2-2-2-2000000000000000000−2i2i
χ1122-2-2222222-2-2-2-2-2-20000002-22-20000000000002-2000000
χ1222-2-2222222-2-2-2-2-2-20000002-22-2000000000000-22000000
χ1322-2-2222222-2-2-2-2-2-200002i−2i-22-22000000002i2i−2i−2i00000000
χ1422-2-2222222-2-2-2-2-2-20000−2i2i-22-2200000000−2i−2i2i2i00000000
χ152-22-2222-2-2-222-22-2-2000000-2-22200000000000000002-200
χ162-22-2222-2-2-222-22-2-2000000-2-2220000000000000000-2200
χ172-22-2222-2-2-222-22-2-22-2000022-2-222-2-20000000000000000
χ182-22-2222-2-2-222-22-2-2-22000022-2-2-2-2220000000000000000
χ192-2-22222-2-2-2-2-22-222000000-222-2000000000000002i−2i0000
χ202-2-22222-2-2-2-2-22-222000000-222-200000000000000−2i2i0000
χ212-2-22222-2-2-2-2-22-222002-2002-2-22000022-2-2000000000000
χ222-2-22222-2-2-2-2-22-22200-22002-2-220000-2-222000000000000
χ2388883-2-23-2-23-2-2-23-2000044000000000000-1-1-1-100000000
χ2488883-2-23-2-23-2-2-23-20000-4-4000000000000111100000000
χ258888-23-2-23-2-23-2-2-2300440000000000-1-1-1-1000000000000
χ268888-23-2-23-2-23-2-2-2300-4-400000000001111000000000000
χ278888-2-23-2-23-2-233-2-24400000000-1-1-1-10000000000000000
χ288888-2-23-2-23-2-233-2-2-4-40000000011110000000000000000
χ2988-8-83-2-23-2-2-3222-3200004i−4i000000000000−i−iii00000000
χ3088-8-83-2-23-2-2-3222-320000−4i4i000000000000ii−i−i00000000
χ3188-8-8-23-2-23-22-3222-300000000000000i5−i5i5−i5000000000000
χ3288-8-8-23-2-23-22-3222-300000000000000−i5i5−i5i5000000000000
χ3388-8-8-2-23-2-2322-3-3220000000000i5−i5i5−i50000000000000000
χ3488-8-8-2-23-2-2322-3-3220000000000−i5i5−i5i50000000000000000
χ358-88-83-2-2-3223-22-2-32000000000000000000i5−i5i5−i500000000
χ368-88-83-2-2-3223-22-2-32000000000000000000−i5i5−i5i500000000
χ378-88-8-23-22-32-232-22-300000000000000i5−i5−i5i5000000000000
χ388-88-8-23-22-32-232-22-300000000000000−i5i5i5−i5000000000000
χ398-88-8-2-2322-3-2-2-33224-400000000-1-1110000000000000000
χ408-88-8-2-2322-3-2-2-3322-440000000011-1-10000000000000000
χ418-8-883-2-2-322-32-223-20000000000000000005−5−5500000000
χ428-8-883-2-2-322-32-223-2000000000000000000−555−500000000
χ438-8-88-23-22-322-3-22-23004-40000000000-1-111000000000000
χ448-8-88-23-22-322-3-22-2300-44000000000011-1-1000000000000
χ458-8-88-2-2322-3223-3-2-20000000000i5−i5−i5i50000000000000000
χ468-8-88-2-2322-3223-3-2-20000000000−i5i5i5−i50000000000000000

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