Finite Group Databasebeta

← Group #11798735

Character table — Group #11798735

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size1124444444448888888888888242424242424363648484848484848484872144144
order12233466661212461212121212121212121212244444226812121212122424444
χ1111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111-1-1-1-1111-1-1
χ31111111111111111111111111-1-1111111-1-1-11111-1-11-1-1
χ41111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111
χ5111111111111-11-1-1111-1-1-1-1-1-1111-11-1111-1111-1-1-1-1-11-1
χ6111111111111-11-1-1111-1-1-1-1-1-111-11-11111-11-1-111-1-1-1-11
χ7111111111111-11-1-1111-1-1-1-1-1-1-1-11-11-111-11-111-1-111-1-11
χ8111111111111-11-1-1111-1-1-1-1-1-1-1-1-11-1111-11-1-1-11111-11-1
χ92222222222222222222222222000000-2-2000000000-200
χ10222222222222-22-2-2222-2-2-2-2-2-2000000-2-2000000000200
χ1122222-22222-2-20200-2-2-200000000020-22-2000002-200000
χ1222222-22222-2-20200-2-2-2000000000-2022-200000-2200000
χ1322222-22222-2-20200-2-2-20000000020-20-220002-20000000
χ1422222-22222-2-20200-2-2-200000000-2020-22000-220000000
χ154441-241-211-2-24-211-21111-2-2-2-200222200000-1-1-1-100000
χ164441-241-211-2-24-211-21111-2-2-2-200-2-2-2-200000111100000
χ174441-241-211-2-2-4-2-1-1-211-1-12222002-22-200000-1-11100000
χ184441-241-211-2-2-4-2-1-1-211-1-1222200-22-220000011-1-100000
χ194441-2-41-211220-2332-1-1-3-30000002-2-2200000-111-100000
χ204441-2-41-211220-2332-1-1-3-3000000-222-2000001-1-1100000
χ214441-2-41-211220-2-3-32-1-13300000022-2-200000-11-1100000
χ224441-2-41-211220-2-3-32-1-133000000-2-222000001-11-100000
χ23444-214-21-2-21141-2-21-2-2-2-2111122000000-12-10000-1-1000
χ24444-214-21-2-21141-2-21-2-2-2-21111-2-20000001-21000011000
χ25444-214-21-2-211-41221-2-222-1-1-1-122000000-1-2-1000011000
χ26444-214-21-2-211-41221-2-222-1-1-1-1-2-20000001210000-1-1000
χ2744-4440-444-4000-4000000000002-200000020-2000000000
χ2844-4440-444-4000-400000000000-22000000-202000000000
χ2944-4-21021-22330-100-30023−2333−3−32-2000000-10100003−3000
χ3044-4-21021-22330-100-30023−2333−3−3-2200000010-10000−33000
χ3144-4-21021-22330-100-300−2323−3−3332-2000000-1010000−33000
χ3244-4-21021-22330-100-300−2323−3−333-2200000010-100003−3000
χ33888-42-8-42-4-4-2-20200-24400000000000000000000000000
χ3488-82-40-2-42-200040000023−23−23−23232300000000000000000000
χ3588-82-40-2-42-2000400000−23232323−23−2300000000000000000000
χ3688-8-42042-44-6-60-20060000000000000000000000000000
χ378-802-4064-2-643−430000023−2300000000000000000000000000
χ388-802-4064-2-6−434300000−232300000000000000000000000000
χ398-802-40-64-260000−2i32i300000−2i32i3−2i32i300000000000000000000
χ408-802-40-64-2600002i3−2i3000002i3−2i32i3−2i300000000000000000000
χ418-808800-8-8000000000000000000000000000000000000
χ428-80-4200-24023−2300−2i32i30−232300ζ2+3ζ7−ζ10+3ζ11−ζ2−3ζ7+ζ10−3ζ11ζ2−3ζ7−ζ10−3ζ11−ζ2+3ζ7+ζ10+3ζ1100000000000000000000
χ438-80-4200-24023−23002i3−2i30−232300−ζ2−3ζ7+ζ10−3ζ11ζ2+3ζ7−ζ10+3ζ11−ζ2+3ζ7+ζ10+3ζ11ζ2−3ζ7−ζ10−3ζ1100000000000000000000
χ448-80-4200-240−232300−2i32i3023−2300ζ2−3ζ7−ζ10−3ζ11−ζ2+3ζ7+ζ10+3ζ11ζ2+3ζ7−ζ10+3ζ11−ζ2−3ζ7+ζ10−3ζ1100000000000000000000
χ458-80-4200-240−2323002i3−2i3023−2300−ζ2+3ζ7+ζ10+3ζ11ζ2−3ζ7−ζ10−3ζ11−ζ2−3ζ7+ζ10−3ζ11ζ2+3ζ7−ζ10+3ζ1100000000000000000000

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