Finite Group Databasebeta

← Group #14518201

Character table — Group #14518201

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1112223336666669999999999912121818181818181818181818242424242424242427272727272727272727273636363672727272108108108108108108
order133333266666999233666666669999181818181818181818999999992666666666699999999181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111−1+i32−1−i3211111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111−1+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
χ311111111111111111111111111−1−i32−1+i3211111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111−1−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
χ41111111111111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111−1+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−i3211−1+i32−1−i32−1+i32−1−i32
χ51111111111111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+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−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32
χ61111111111111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32111−1+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+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1−i32−1+i321−1+i32−1−i321
χ71111111111111111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111−1−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+i3211−1−i32−1+i32−1−i32−1+i32
χ81111111111111111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32111−1−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−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1+i32−1−i321−1−i32−1+i321
χ91111111111111111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−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+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32
χ10111111111111111-111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ11111111111111111-111-1-1111111−1+i32−1−i3211111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32
χ12111111111111111-111-1-1111111−1−i32−1+i3211111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32
χ13111111111111111-1−1+i32−1−i32-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321+i32
χ14111111111111111-1−1+i32−1−i32-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+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−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1−i3211−1+i32−1−i3211−1+i321−i321+i321+i32-1-11−i32
χ15111111111111111-1−1+i32−1−i32-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32111−1+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+i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i3211−1+i32−1−i3211+i321−i32-11−i321+i32-1
χ16111111111111111-1−1−i32−1+i32-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321−i32
χ17111111111111111-1−1−i32−1+i32-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32111−1−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−i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i3211−1−i32−1+i3211−i321+i32-11+i321−i32-1
χ18111111111111111-1−1−i32−1+i32-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−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+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1+i3211−1−i32−1+i3211−1−i321+i321−i321−i32-1-11+i32
χ19222222222222-1-1-10220022222222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000002222-1-1-1-1000000
χ20222222222222-1-1-102200222222−1+i3−1−i3-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i31−i321−i321−i321+i321+i321+i3200000000000−1+i3−1+i3−1−i3−1−i31−i321−i321+i321+i32000000
χ21222222222222-1-1-102200222222−1−i3−1+i3-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i31+i321+i321+i321−i321−i321−i3200000000000−1−i3−1−i3−1+i3−1+i31+i321+i321−i321−i32000000
χ22222222222222-1-1-10−1+i3−1−i300−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3221−i321+i32-1-1-11−i321−i321−i321+i321+i321+i3222-1-1-1-1-1-100000000000−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i32000000
χ23222222222222-1-1-10−1+i3−1−i300−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1−i31−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i3200000000000−1−i322−1+i31+i32-1-11−i32000000
χ24222222222222-1-1-10−1+i3−1−i300−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i31−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32000000000002−1+i3−1−i32-11−i321+i32-1000000
χ25222222222222-1-1-10−1−i3−1+i300−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3221+i321−i32-1-1-11+i321+i321+i321−i321−i321−i3222-1-1-1-1-1-100000000000−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i32000000
χ26222222222222-1-1-10−1−i3−1+i300−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i31+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32000000000002−1−i3−1+i32-11+i321−i32-1000000
χ27222222222222-1-1-10−1−i3−1+i300−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i31+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i3200000000000−1+i322−1−i31−i32-1-11+i32000000
χ28333333-1-1-1-1-1-133333333-1-1-1-1-1-10033-1-1-1-1-1-1-1-1-100000000-1-1-13-1-1-13-1-1-100000000000000
χ29333333-1-1-1-1-1-13333−3+3i32−3−3i32331−i321−i321−i321+i321+i321+i3200−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i3200000000-1-1-1−3+3i321−i321−i321−i32−3−3i321+i321+i321+i3200000000000000
χ30333333-1-1-1-1-1-13333−3−3i32−3+3i32331+i321+i321+i321−i321−i321−i3200−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i3200000000-1-1-1−3−3i321+i321+i321+i32−3+3i321−i321−i321−i3200000000000000
χ31333333-1-1-1-1-1-1333-333-3-3-1-1-1-1-1-10033-1-1-1-1-1-1-1-1-100000000111-3111-311100000000000000
χ32333333-1-1-1-1-1-1333-3−3+3i32−3−3i32-3-31−i321−i321−i321+i321+i321+i3200−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i32000000001113−3i32−1+i32−1+i32−1+i323+3i32−1−i32−1−i32−1−i3200000000000000
χ33333333-1-1-1-1-1-1333-3−3−3i32−3+3i32-3-31+i321+i321+i321−i321−i321−i3200−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i32000000001113+3i32−1−i32−1−i32−1−i323−3i32−1+i32−1+i32−1+i3200000000000000
χ343−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32300−3+3i32−3−3i3200000000003−3+3i32−3−3i32000000000000003−3+3i32−3−3i320000000000000000000000
χ353−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-3003−3i323+3i3200000000003−3+3i32−3−3i3200000000000000-33−3i323+3i320000000000000000000000
χ363−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32-11−i321+i323−3+3i32−3−3i32300−3+3i32−3−3i322−1+i3−1−i32−1+i3−1−i30000-11−i321+i322−1+i3−1−i32−1+i3−1−i300000000-11−i321+i3202−1+i3−1−i302−1+i3−1−i300000000000000
χ373−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32-11−i321+i323−3+3i32−3−3i32300−3+3i32−3−3i32−1+i3−1−i32−1−i32−1+i30000-11−i321+i32−1+i3−1−i32−1−i32−1+i300000000-11−i321+i320−1+i3−1−i320−1−i32−1+i300000000000000
χ383−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32-11−i321+i323−3+3i32−3−3i32300−3+3i32−3−3i32−1−i32−1+i3−1+i3−1−i320000-11−i321+i32−1−i32−1+i3−1+i3−1−i3200000000-11−i321+i320−1−i32−1+i30−1+i3−1−i3200000000000000
χ393−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32-11−i321+i323−3+3i32−3−3i32-3003−3i323+3i322−1+i3−1−i32−1+i3−1−i30000-11−i321+i322−1+i3−1−i32−1+i3−1−i3000000001−1+i32−1−i320-21−i31+i30-21−i31+i300000000000000
χ403−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32-11−i321+i323−3+3i32−3−3i32-3003−3i323+3i32−1+i3−1−i32−1−i32−1+i30000-11−i321+i32−1+i3−1−i32−1−i32−1+i3000000001−1+i32−1−i3201−i31+i3-201+i3-21−i300000000000000
χ413−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32-11−i321+i323−3+3i32−3−3i32-3003−3i323+3i32−1−i32−1+i3−1+i3−1−i320000-11−i321+i32−1−i32−1+i3−1+i3−1−i32000000001−1+i32−1−i3201+i3-21−i301−i31+i3-200000000000000
χ423−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32300−3−3i32−3+3i3200000000003−3−3i32−3+3i32000000000000003−3−3i32−3+3i320000000000000000000000
χ433−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-3003+3i323−3i3200000000003−3−3i32−3+3i3200000000000000-33+3i323−3i320000000000000000000000
χ443−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32-11+i321−i323−3−3i32−3+3i32300−3−3i32−3+3i322−1−i3−1+i32−1−i3−1+i30000-11+i321−i322−1−i3−1+i32−1−i3−1+i300000000-11+i321−i3202−1−i3−1+i302−1−i3−1+i300000000000000
χ453−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32-11+i321−i323−3−3i32−3+3i32300−3−3i32−3+3i32−1+i32−1−i3−1−i3−1+i320000-11+i321−i32−1+i32−1−i3−1−i3−1+i3200000000-11+i321−i320−1+i32−1−i30−1−i3−1+i3200000000000000
χ463−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32-11+i321−i323−3−3i32−3+3i32300−3−3i32−3+3i32−1−i3−1+i32−1+i32−1−i30000-11+i321−i32−1−i3−1+i32−1+i32−1−i300000000-11+i321−i320−1−i3−1+i320−1+i32−1−i300000000000000
χ473−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32-11+i321−i323−3−3i32−3+3i32-3003+3i323−3i322−1−i3−1+i32−1−i3−1+i30000-11+i321−i322−1−i3−1+i32−1−i3−1+i3000000001−1−i32−1+i320-21+i31−i30-21+i31−i300000000000000
χ483−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32-11+i321−i323−3−3i32−3+3i32-3003+3i323−3i32−1+i32−1−i3−1−i3−1+i320000-11+i321−i32−1+i32−1−i3−1−i3−1+i32000000001−1−i32−1+i3201−i3-21+i301+i31−i3-200000000000000
χ493−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32-11+i321−i323−3−3i32−3+3i32-3003+3i323−3i32−1−i3−1+i32−1+i32−1−i30000-11+i321−i32−1−i3−1+i32−1+i32−1−i3000000001−1−i32−1+i3201+i31−i3-201−i3-21+i300000000000000
χ50666666-2-2-2-2-2-2-3-3-306600-2-2-2-2-2-200-3-3111111111000000000000000000000000000000000
χ51666666-2-2-2-2-2-2-3-3-30−3+3i3−3−3i3001−i31−i31−i31+i31+i31+i3003−3i323+3i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000000000000000
χ52666666-2-2-2-2-2-2-3-3-30−3−3i3−3+3i3001+i31+i31+i31−i31−i31−i3003+3i323−3i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000000000000
χ53666-3-3-3666-3-3-3000000000000006600000000000-3-30000000000000000000000000000000
χ54666-3-3-3666-3-3-300000000000000−3+3i3−3−3i3000000000003−3i323+3i320000000000000000000000000000000
χ55666-3-3-3666-3-3-300000000000000−3−3i3−3+3i3000000000003+3i323−3i320000000000000000000000000000000
χ566−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32000000000000000-33−3i323+3i32000000000000000000000000000000000000000
χ576−3+3i3−3−3i36−3+3i3−3−3i3-21−i31+i3-21−i31+i3-33−3i323+3i32000004−2+2i3−2−2i34−2+2i3−2−2i300001−1+i32−1−i32-21−i31+i3-21−i31+i3000000000000000000000000000000000
χ586−3+3i3−3−3i36−3+3i3−3−3i3-21−i31+i3-21−i31+i3-33−3i323+3i3200000−2+2i3−2−2i34−2−2i34−2+2i300001−1+i32−1−i321−i31+i3-21+i3-21−i3000000000000000000000000000000000
χ596−3+3i3−3−3i36−3+3i3−3−3i3-21−i31+i3-21−i31+i3-33−3i323+3i3200000−2−2i34−2+2i3−2+2i3−2−2i3400001−1+i32−1−i321+i3-21−i31−i31+i3-2000000000000000000000000000000000
χ606−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i32000000000000000000000000000003−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000000000
χ616−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i3200000000000000000000000000000−3+3i32−3−3i323−3−3i323−3+3i320000000000000000000000000
χ626−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i3200000000000000000000000000000−3−3i323−3+3i32−3+3i32−3−3i3230000000000000000000000000
χ636−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32000000000000000-33+3i323−3i32000000000000000000000000000000000000000
χ646−3−3i3−3+3i36−3−3i3−3+3i3-21+i31−i3-21+i31−i3-33+3i323−3i32000004−2−2i3−2+2i34−2−2i3−2+2i300001−1−i32−1+i32-21+i31−i3-21+i31−i3000000000000000000000000000000000
χ656−3−3i3−3+3i36−3−3i3−3+3i3-21+i31−i3-21+i31−i3-33+3i323−3i3200000−2+2i34−2−2i3−2−2i3−2+2i3400001−1−i32−1+i321−i3-21+i31+i31−i3-2000000000000000000000000000000000
χ666−3−3i3−3+3i36−3−3i3−3+3i3-21+i31−i3-21+i31−i3-33+3i323−3i3200000−2−2i3−2+2i34−2+2i34−2−2i300001−1−i32−1+i321+i31−i3-21−i3-21+i3000000000000000000000000000000000
χ676−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i32000000000000000000000000000003−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000000000
χ686−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i3200000000000000000000000000000−3+3i323−3−3i32−3−3i32−3+3i3230000000000000000000000000
χ696−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i3200000000000000000000000000000−3−3i32−3+3i323−3+3i323−3−3i320000000000000000000000000
χ70181818-9-9-9-6-6-6333000000000000000000000000000000000000000000000000000000000000
χ7118−9+9i3−9−9i3-99−9i329+9i32-63−3i33+3i33−3+3i32−3−3i32000000000000000000000000000000000000000000000000000000000000
χ7218−9−9i3−9+9i3-99+9i329−9i32-63+3i33−3i33−3−3i32−3+3i32000000000000000000000000000000000000000000000000000000000000

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