Finite Group Databasebeta

← Group #11798752

Character table — Group #11798752

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size1124444444448888888888888242424242424363648484848484848484872144144
order122334666612124612121212121212121212122224444466681212122424288
χ1111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111-111-1-111-1-11-1-1
χ31111111111111111111111111-1-111-1-1111-1-111-1-1111-1-1
χ41111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111
χ5111111111111-1111-1-11-1-1-1-1-1-11-1111-11111-1-111-1-1-1-11-1
χ6111111111111-1111-1-11-1-1-1-1-1-11-1-1-11-111-11-11-11-111-1-11
χ7111111111111-1111-1-11-1-1-1-1-1-1-1111-11111-11-11-11-1-1-1-11
χ8111111111111-1111-1-11-1-1-1-1-1-1-11-1-1-1111-1-111-1-1111-11-1
χ92222222222222222222222222000000-2-2000000000-200
χ10222222222222-2222-2-22-2-2-2-2-2-2000000-2-2000000000200
χ1122222-22222-2-202-2-200-200000002000-22-2002000-200000
χ1222222-22222-2-202-2-200-20000000-200022-200-2000200000
χ1322222-22222-2-202-2-200-20000002000-20-2202000-2000000
χ1422222-22222-2-202-2-200-2000000-200020-220-20002000000
χ154441-24-2-21-21141-2-2-2-21-2-2111100220000-1002-100-1-1000
χ164441-24-2-21-21141-2-2-2-21-2-2111100-2-20000100-210011000
χ174441-24-2-21-211-41-2-222122-1-1-1-100220000-100-2-10011000
χ184441-24-2-21-211-41-2-222122-1-1-1-100-2-200001002100-1-1000
χ19444-21411-21-2-24-21111-211-2-2-2-2220022000-1-100-1-100000
χ20444-21411-21-2-24-21111-211-2-2-2-2-2-200-2-200011001100000
χ21444-21411-21-2-2-4-211-1-1-2-1-122222-2002-2000-1100-1100000
χ22444-21411-21-2-2-4-211-1-1-2-1-12222-2200-220001-1001-100000
χ23444-21-411-21220-2-1-1332-3-300002200-2-2000-1-1001100000
χ24444-21-411-21220-2-1-1332-3-30000-2-200220001100-1-100000
χ25444-21-411-21220-2-1-1-3-323300002-200-22000-11001-100000
χ26444-21-411-21220-2-1-1-3-32330000-22002-20001-100-1100000
χ2744-41-202-212330-10023−23-30033−3−3002-20000-10001003−3000
χ2844-41-202-212330-10023−23-30033−3−300-2200001000-100−33000
χ2944-41-202-212330-100−2323-300−3−333002-20000-1000100−33000
χ3044-41-202-212330-100−2323-300−3−33300-2200001000-1003−3000
χ3144-4440-444-4000-400000000000002-200002000-20000000
χ3244-4440-444-4000-40000000000000-220000-200020000000
χ338882-4-8-4-42-4-2-2024400-200000000000000000000000000
χ3488-82-404-424-6-60-20000600000000000000000000000000
χ3588-8-420-22-4-200040023−23000−23−23232300000000000000000000
χ3688-8-420-22-4-2000400−23230002323−23−2300000000000000000000
χ378-802-4004-2023−230023−23000−2i32i3−ζ2−3ζ7+ζ10−3ζ11ζ2+3ζ7−ζ10+3ζ11−ζ2+3ζ7+ζ10+3ζ11ζ2−3ζ7−ζ10−3ζ1100000000000000000000
χ388-802-4004-2023−230023−230002i3−2i3ζ2+3ζ7−ζ10+3ζ11−ζ2−3ζ7+ζ10−3ζ11ζ2−3ζ7−ζ10−3ζ11−ζ2+3ζ7+ζ10+3ζ1100000000000000000000
χ398-802-4004-20−232300−2323000−2i32i3−ζ2+3ζ7+ζ10+3ζ11ζ2−3ζ7−ζ10−3ζ11−ζ2−3ζ7+ζ10−3ζ11ζ2+3ζ7−ζ10+3ζ1100000000000000000000
χ408-802-4004-20−232300−23230002i3−2i3ζ2−3ζ7−ζ10−3ζ11−ζ2+3ζ7+ζ10+3ζ11ζ2+3ζ7−ζ10+3ζ11−ζ2−3ζ7+ζ10−3ζ1100000000000000000000
χ418-808800-8-8000000000000000000000000000000000000
χ428-80-4206-24-6000000000−2i32i32i3−2i32i3−2i300000000000000000000
χ438-80-4206-24-60000000002i3−2i3−2i32i3−2i32i300000000000000000000
χ448-80-420-6-24643−4300−232300000000000000000000000000000
χ458-80-420-6-246−43430023−2300000000000000000000000000000

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