Finite Group Databasebeta

← Group #13103384

Character table — Group #13103384

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111188888888888820202020202025252525404040404040404040404040100100100100100100100100
order1222555101010101010101010224444222210101010202020202020202044444444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111-1-1111111111111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111-1-11111111111-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ51111111111111111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1
χ61111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111
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
χ1122-2-222222-2-22-2-2-2-2000000-2-2220000000000002-2000000
χ1222-2-222222-2-22-2-2-2-2000000-2-222000000000000-22000000
χ1322-2-222222-2-22-2-2-2-22-2000022-2-222-2-20000000000000000
χ1422-2-222222-2-22-2-2-2-2-22000022-2-2-2-2220000000000000000
χ152-22-2222-2-22-2-22-22-20000002-22-200000000000000002i−2i00
χ162-22-2222-2-22-2-22-22-20000002-22-20000000000000000−2i2i00
χ172-22-2222-2-22-2-22-22-2002-200-22-22000022-2-2000000000000
χ182-22-2222-2-22-2-22-22-200-2200-22-220000-2-222000000000000
χ192-2-22222-2-2-22-2-22-22000000-222-2000000000000002i−2i0000
χ202-2-22222-2-2-22-2-22-22000000-222-200000000000000−2i2i0000
χ212-2-22222-2-2-22-2-22-2200002-22-2-220000000022-2-200000000
χ222-2-22222-2-2-22-2-22-220000-222-2-2200000000-2-22200000000
χ2388883-2-23-23-2-2-2-2-23000044000000000000-1-1-1-100000000
χ2488883-2-23-23-2-2-2-2-230000-4-4000000000000111100000000
χ258888-23-2-23-23-2-2-23-200440000000000-1-1-1-1000000000000
χ268888-23-2-23-23-2-2-23-200-4-400000000001111000000000000
χ278888-2-23-2-2-2-2333-2-24400000000-1-1-1-10000000000000000
χ288888-2-23-2-2-2-2333-2-2-4-40000000011110000000000000000
χ2988-8-83-2-23-2-32-2222-3000000000000000000i5−i5i5−i500000000
χ3088-8-83-2-23-2-32-2222-3000000000000000000−i5i5−i5i500000000
χ3188-8-8-23-2-232-3-222-3200000000000000i5−i5i5−i5000000000000
χ3288-8-8-23-2-232-3-222-3200000000000000−i5i5−i5i5000000000000
χ3388-8-8-2-23-2-2223-3-3224-400000000-1-1110000000000000000
χ3488-8-8-2-23-2-2223-3-322-440000000011-1-10000000000000000
χ358-88-83-2-2-32322-22-2-3000000000000000000i5−i5−i5i500000000
χ368-88-83-2-2-32322-22-2-3000000000000000000−i5i5i5−i500000000
χ378-88-8-23-22-3-2-32-2232004-40000000000-1-111000000000000
χ388-88-8-23-22-3-2-32-223200-44000000000011-1-1000000000000
χ398-88-8-2-2322-22-33-3-2200000000005−55−50000000000000000
χ408-88-8-2-2322-22-33-3-220000000000−55−550000000000000000
χ418-8-883-2-2-32-3-222-22300004-4000000000000-1-11100000000
χ428-8-883-2-2-32-3-222-2230000-4400000000000011-1-100000000
χ438-8-88-23-22-32322-2-3-200000000000000i5−i5−i5i5000000000000
χ448-8-88-23-22-32322-2-3-200000000000000−i5i5i5−i5000000000000
χ458-8-88-2-23222-2-3-332-200000000005−5−550000000000000000
χ468-8-88-2-23222-2-3-332-20000000000−555−50000000000000000

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