Finite Group Databasebeta

← Group #11798732

Character table — Group #11798732

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size1124444444448888888888888242424242424363648484848484848484872144144
order122233666666466661212121212121212244444244612121212121212448
χ1111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11111111-1-1-1-11-1-1
χ31111111111111111111111111-1-1111111-1-1-1-1-111111-1-1
χ41111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111
χ5111111111111-11111-1-1-1-1-1-1-1-1111-11-111-11-1-111-11-1-11-1
χ6111111111111-11111-1-1-1-1-1-1-1-111-11-1111-11-1-11-11-11-1-11
χ7111111111111-11111-1-1-1-1-1-1-1-1-1-11-11-1111-111-11-11-1-1-11
χ8111111111111-11111-1-1-1-1-1-1-1-1-1-1-11-11111-111-1-11-11-11-1
χ92222222222222222222222222000000-2-2000000000-200
χ10222222222222-22222-2-2-2-2-2-2-2-2000000-2-2000000000200
χ11222-2222-2-22220-2-22-20000000000020-2-22000000-202000
χ12222-2222-2-22220-2-22-200000000000-202-2200000020-2000
χ13222-2222-2-22220-2-22-2000000000020-202-200000-2020000
χ14222-2222-2-22220-2-22-20000000000-20202-20000020-20000
χ1544441-21-2-2-211411-2-2-2-2-2-211110022220000000-1-1-1-1000
χ1644441-21-2-2-211411-2-2-2-2-2-2111100-2-2-2-200000001111000
χ1744441-21-2-2-211-411-2-22222-1-1-1-1002-22-20000000-11-11000
χ1844441-21-2-2-211-411-2-22222-1-1-1-100-22-2200000001-11-1000
χ194444-21-2111-2-24-2-2111111-2-2-2-2220000002-1-1-1-10000000
χ204444-21-2111-2-24-2-2111111-2-2-2-2-2-2000000-211110000000
χ214444-21-2111-2-2-4-2-211-1-1-1-1222222000000-2-111-10000000
χ224444-21-2111-2-2-4-2-211-1-1-1-12222-2-200000021-1-110000000
χ23444-41-2122-2110-1-1-22000033-3-30022-2-2000000011-1-1000
χ24444-41-2122-2110-1-1-22000033-3-300-2-2220000000-1-111000
χ25444-41-2122-2110-1-1-220000-3-333002-2-2200000001-1-11000
χ26444-41-2122-2110-1-1-220000-3-33300-222-20000000-111-1000
χ2744-4044-4004-44000-40000000002-20000000200-20000000
χ2844-4044-4004-44000-4000000000-220000000-20020000000
χ2944-40-212-3-312-2000-13−i3−i3i3i300−2i32i32-20000000-1−i3i310000000
χ3044-40-212-3-312-2000-13−i3−i3i3i300−2i32i3-2200000001i3−i3-10000000
χ3144-40-212-3-312-2000-13i3i3−i3−i3002i3−2i32-20000000-1i3−i310000000
χ3244-40-212-3-312-2000-13i3i3−i3−i3002i3−2i3-2200000001−i3i3-10000000
χ33888-8-42-4-2-22-4-40442-20000000000000000000000000000
χ3488-802-4-200-4-2200040−2i3−2i32i32i3002i3−2i300000000000000000000
χ3588-802-4-200-4-22000402i32i3−2i3−2i300−2i32i300000000000000000000
χ3688-80-4246624-4000-2-60000000000000000000000000000
χ378-8002-46004-6-20000023−2323−2323−230000000000000000000000
χ388-8002-46004-6-200000−2323−2323−23230000000000000000000000
χ398-8002-4-6−4i34i346-20−2i32i3000000000000000000000000000000
χ408-8002-4-64i3−4i346-202i3−2i3000000000000000000000000000000
χ418-80088000-80-8000000000000000000000000000000000
χ428-800-420−2i32i3-20402i3−2i3002ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ11−23230000000000000000000000
χ438-800-420−2i32i3-20402i3−2i300−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ1123−230000000000000000000000
χ448-800-4202i3−2i3-2040−2i32i300−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ11−23230000000000000000000000
χ458-800-4202i3−2i3-2040−2i32i3004ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ1123−230000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.