Finite Group Databasebeta

← Group #89114

Character table — Group #89114

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size123688818181236888181812368881818123688818181236888181812368881818
order1326333243366333612336633361226266662466666666126666666612
χ1111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ32222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-100
χ42-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-100
χ52-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100
χ62-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-1200
χ733-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-1
χ833-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-11
χ96-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-2100000
χ10111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ111111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ122222-1-1-100−1+i3−1+i3−1+i3−1+i31−i321−i321−i3200−1−i3−1−i3−1−i3−1−i31+i321+i321+i32002222-1-1-100−1+i3−1+i3−1+i3−1+i31−i321−i321−i3200−1−i3−1−i3−1−i3−1−i31+i321+i321+i3200
χ132-12-12-1-100−1+i31−i32−1+i31−i32−1+i31−i321−i3200−1−i31+i32−1−i31+i32−1−i31+i321+i32002-12-12-1-100−1+i31−i32−1+i31−i32−1+i31−i321−i3200−1−i31+i32−1−i31+i32−1−i31+i321+i3200
χ142-12-1-12-100−1+i31−i32−1+i31−i321−i32−1+i31−i3200−1−i31+i32−1−i31+i321+i32−1−i31+i32002-12-1-12-100−1+i31−i32−1+i31−i321−i32−1+i31−i3200−1−i31+i32−1−i31+i321+i32−1−i31+i3200
χ152-12-1-1-1200−1+i31−i32−1+i31−i321−i321−i32−1+i300−1−i31+i32−1−i31+i321+i321+i32−1−i3002-12-1-1-1200−1+i31−i32−1+i31−i321−i321−i32−1+i300−1−i31+i32−1−i31+i321+i321+i32−1−i300
χ1633-1-10001-1−3+3i32−3+3i321−i321−i32000−1+i321−i32−3−3i32−3−3i321+i321+i32000−1−i321+i3233-1-10001-1−3+3i32−3+3i321−i321−i32000−1+i321−i32−3−3i32−3−3i321+i321+i32000−1−i321+i32
χ1733-1-1000-11−3+3i32−3+3i321−i321−i320001−i32−1+i32−3−3i32−3−3i321+i321+i320001+i32−1−i3233-1-1000-11−3+3i32−3+3i321−i321−i320001−i32−1+i32−3−3i32−3−3i321+i321+i320001+i32−1−i32
χ186-3-2100000−3+3i33−3i321−i3−1+i3200000−3−3i33+3i321+i3−1−i32000006-3-2100000−3+3i33−3i321−i3−1+i3200000−3−3i33+3i321+i3−1−i3200000
χ19111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ201111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ212222-1-1-100−1−i3−1−i3−1−i3−1−i31+i321+i321+i3200−1+i3−1+i3−1+i3−1+i31−i321−i321−i32002222-1-1-100−1−i3−1−i3−1−i3−1−i31+i321+i321+i3200−1+i3−1+i3−1+i3−1+i31−i321−i321−i3200
χ222-12-12-1-100−1−i31+i32−1−i31+i32−1−i31+i321+i3200−1+i31−i32−1+i31−i32−1+i31−i321−i32002-12-12-1-100−1−i31+i32−1−i31+i32−1−i31+i321+i3200−1+i31−i32−1+i31−i32−1+i31−i321−i3200
χ232-12-1-12-100−1−i31+i32−1−i31+i321+i32−1−i31+i3200−1+i31−i32−1+i31−i321−i32−1+i31−i32002-12-1-12-100−1−i31+i32−1−i31+i321+i32−1−i31+i3200−1+i31−i32−1+i31−i321−i32−1+i31−i3200
χ242-12-1-1-1200−1−i31+i32−1−i31+i321+i321+i32−1−i300−1+i31−i32−1+i31−i321−i321−i32−1+i3002-12-1-1-1200−1−i31+i32−1−i31+i321+i321+i32−1−i300−1+i31−i32−1+i31−i321−i321−i32−1+i300
χ2533-1-10001-1−3−3i32−3−3i321+i321+i32000−1−i321+i32−3+3i32−3+3i321−i321−i32000−1+i321−i3233-1-10001-1−3−3i32−3−3i321+i321+i32000−1−i321+i32−3+3i32−3+3i321−i321−i32000−1+i321−i32
χ2633-1-1000-11−3−3i32−3−3i321+i321+i320001+i32−1−i32−3+3i32−3+3i321−i321−i320001−i32−1+i3233-1-1000-11−3−3i32−3−3i321+i321+i320001+i32−1−i32−3+3i32−3+3i321−i321−i320001−i32−1+i32
χ276-3-2100000−3−3i33+3i321+i3−1−i3200000−3+3i33−3i321−i3−1+i32000006-3-2100000−3−3i33+3i321+i3−1−i3200000−3+3i33−3i321−i3−1+i3200000
χ28111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ291111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ302222-1-1-1002222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-211100-2-2-2-211100
χ312-12-12-1-1002-12-12-1-1002-12-12-1-100-21-21-21100-21-21-21100-21-21-21100
χ322-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-2100
χ332-12-1-1-12002-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-200-21-2111-200
χ3433-1-10001-133-1-10001-133-1-10001-1-3-311000-11-3-311000-11-3-311000-11
χ3533-1-1000-1133-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-1-3-3110001-1
χ366-3-21000006-3-21000006-3-2100000-632-100000-632-100000-632-100000
χ37111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ381111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32-1-1-1-1-1-1-1111−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ392222-1-1-100−1+i3−1+i3−1+i3−1+i31−i321−i321−i3200−1−i3−1−i3−1−i3−1−i31+i321+i321+i3200-2-2-2-2111001−i31−i31−i31−i3−1+i32−1+i32−1+i32001+i31+i31+i31+i3−1−i32−1−i32−1−i3200
χ402-12-12-1-100−1+i31−i32−1+i31−i32−1+i31−i321−i3200−1−i31+i32−1−i31+i32−1−i31+i321+i3200-21-21-211001−i3−1+i321−i3−1+i321−i3−1+i32−1+i32001+i3−1−i321+i3−1−i321+i3−1−i32−1−i3200
χ412-12-1-12-100−1+i31−i32−1+i31−i321−i32−1+i31−i3200−1−i31+i32−1−i31+i321+i32−1−i31+i3200-21-211-21001−i3−1+i321−i3−1+i32−1+i321−i3−1+i32001+i3−1−i321+i3−1−i32−1−i321+i3−1−i3200
χ422-12-1-1-1200−1+i31−i32−1+i31−i321−i321−i32−1+i300−1−i31+i32−1−i31+i321+i321+i32−1−i300-21-2111-2001−i3−1+i321−i3−1+i32−1+i32−1+i321−i3001+i3−1−i321+i3−1−i32−1−i32−1−i321+i300
χ4333-1-10001-1−3+3i32−3+3i321−i321−i32000−1+i321−i32−3−3i32−3−3i321+i321+i32000−1−i321+i32-3-311000-113−3i323−3i32−1+i32−1+i320001−i32−1+i323+3i323+3i32−1−i32−1−i320001+i32−1−i32
χ4433-1-1000-11−3+3i32−3+3i321−i321−i320001−i32−1+i32−3−3i32−3−3i321+i321+i320001+i32−1−i32-3-3110001-13−3i323−3i32−1+i32−1+i32000−1+i321−i323+3i323+3i32−1−i32−1−i32000−1−i321+i32
χ456-3-2100000−3+3i33−3i321−i3−1+i3200000−3−3i33+3i321+i3−1−i3200000-632-1000003−3i3−3+3i32−1+i31−i32000003+3i3−3−3i32−1−i31+i3200000
χ46111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ471111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32-1-1-1-1-1-1-1111+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ482222-1-1-100−1−i3−1−i3−1−i3−1−i31+i321+i321+i3200−1+i3−1+i3−1+i3−1+i31−i321−i321−i3200-2-2-2-2111001+i31+i31+i31+i3−1−i32−1−i32−1−i32001−i31−i31−i31−i3−1+i32−1+i32−1+i3200
χ492-12-12-1-100−1−i31+i32−1−i31+i32−1−i31+i321+i3200−1+i31−i32−1+i31−i32−1+i31−i321−i3200-21-21-211001+i3−1−i321+i3−1−i321+i3−1−i32−1−i32001−i3−1+i321−i3−1+i321−i3−1+i32−1+i3200
χ502-12-1-12-100−1−i31+i32−1−i31+i321+i32−1−i31+i3200−1+i31−i32−1+i31−i321−i32−1+i31−i3200-21-211-21001+i3−1−i321+i3−1−i32−1−i321+i3−1−i32001−i3−1+i321−i3−1+i32−1+i321−i3−1+i3200
χ512-12-1-1-1200−1−i31+i32−1−i31+i321+i321+i32−1−i300−1+i31−i32−1+i31−i321−i321−i32−1+i300-21-2111-2001+i3−1−i321+i3−1−i32−1−i32−1−i321+i3001−i3−1+i321−i3−1+i32−1+i32−1+i321−i300
χ5233-1-10001-1−3−3i32−3−3i321+i321+i32000−1−i321+i32−3+3i32−3+3i321−i321−i32000−1+i321−i32-3-311000-113+3i323+3i32−1−i32−1−i320001+i32−1−i323−3i323−3i32−1+i32−1+i320001−i32−1+i32
χ5333-1-1000-11−3−3i32−3−3i321+i321+i320001+i32−1−i32−3+3i32−3+3i321−i321−i320001−i32−1+i32-3-3110001-13+3i323+3i32−1−i32−1−i32000−1−i321+i323−3i323−3i32−1+i32−1+i32000−1+i321−i32
χ546-3-2100000−3−3i33+3i321+i3−1−i3200000−3+3i33−3i321−i3−1+i3200000-632-1000003+3i3−3−3i32−1−i31+i32000003−3i3−3+3i32−1+i31−i3200000

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