Finite Group Databasebeta

← Group #64063

Character table — Group #64063

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222244444444666612121111222222444444446666121211112222224444444466661212
order122234466622666612124444223666312126666666661212121212126636663121266666666612121212121266
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ31111111111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1111111-1-1
χ41111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111
χ511111-1-11111-111-1-1-1-111-1-11-111111-1-11111-111-1-1-1-111-1-11-111111-1-11111-111-1-1-1-111-1-11-1
χ611111-1-11111-111-1-1-1-1-1-111-1111111-1-11111-111-1-1-1-1-1-111-1111111-1-11111-111-1-1-1-1-1-111-11
χ711111-1-1111-11-1-111-1-111-1-1-1111111-1-1111-11-1-111-1-111-1-1-1111111-1-1111-11-1-111-1-111-1-1-11
χ811111-1-1111-11-1-111-1-1-1-1111-111111-1-1111-11-1-111-1-1-1-1111-111111-1-1111-11-1-111-1-1-1-1111-1
χ92222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000
χ102222-122-1-1-1-2-21111-1-10000002222-122-1-1-1-2-21111-1-10000002222-122-1-1-1-2-21111-1-1000000
χ112222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-11111000000
χ122222-1-2-2-1-1-1-2211-1-1110000002222-1-2-2-1-1-1-2211-1-1110000002222-1-2-2-1-1-1-2211-1-111000000
χ1322-2-222-2-2-220000002-200000022-2-222-2-2-220000002-200000022-2-222-2-2-220000002-2000000
χ1422-2-22-22-2-22000000-2200000022-2-22-22-2-22000000-2200000022-2-22-22-2-22000000-22000000
χ1522-2-2-12-211-100i3−i3i3−i3-1100000022-2-2-12-211-100i3−i3i3−i3-1100000022-2-2-12-211-100i3−i3i3−i3-11000000
χ1622-2-2-12-211-100−i3i3−i3i3-1100000022-2-2-12-211-100−i3i3−i3i3-1100000022-2-2-12-211-100−i3i3−i3i3-11000000
χ1722-2-2-1-2211-100i3−i3−i3i31-100000022-2-2-1-2211-100i3−i3−i3i31-100000022-2-2-1-2211-100i3−i3−i3i31-1000000
χ1822-2-2-1-2211-100−i3i3i3−i31-100000022-2-2-1-2211-100−i3i3i3−i31-100000022-2-2-1-2211-100−i3i3i3−i31-1000000
χ192-22-22002-2-200000000002-2002-22-22002-2-200000000002-2002-22-22002-2-200000000002-200
χ202-22-22002-2-20000000000-22002-22-22002-2-20000000000-22002-22-22002-2-20000000000-2200
χ212-2-22200-22-2000000002-200002-2-22200-22-2000000002-200002-2-22200-22-2000000002-20000
χ222-2-22200-22-200000000-2200002-2-22200-22-200000000-2200002-2-22200-22-200000000-220000
χ234-44-4-200-222000000000000004-44-4-200-222000000000000004-44-4-200-22200000000000000
χ244-4-44-2002-22000000000000004-4-44-2002-22000000000000004-4-44-2002-2200000000000000
χ25111111111111111111111111−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ26111111111111111111-1-1-1-1-1-1−1+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+i321−i321−i321−i321−i321−i321−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−i321+i321+i321+i321+i321+i321+i32
χ271111111111-1-1-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ281111111111-1-1-1-1-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ2911111-1-11111-111-1-1-1-111-1-11-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ3011111-1-11111-111-1-1-1-1-1-111-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ3111111-1-1111-11-1-111-1-111-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ3211111-1-1111-11-1-111-1-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ332222-122-1-1-122-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ342222-122-1-1-1-2-21111-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32000000
χ352222-1-2-2-1-1-12-2-1-11111000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32000000
χ362222-1-2-2-1-1-1-2211-1-111000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i32000000
χ3722-2-222-2-2-220000002-2000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3000000−1+i31−i3000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3000000−1−i31+i3000000
χ3822-2-22-22-2-22000000-22000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i30000001−i3−1+i3000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i30000001+i3−1−i3000000
χ3922-2-2-12-211-100i3−i3i3−i3-11000000−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i32−1+i321−i3200−3−i323+i32−3−i323+i321−i32−1+i32000000−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i32−1−i321+i32003−i32−3+i323−i32−3+i321+i32−1−i32000000
χ4022-2-2-12-211-100−i3i3−i3i3-11000000−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i32−1+i321−i32003+i32−3−i323+i32−3−i321−i32−1+i32000000−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i32−1−i321+i3200−3+i323−i32−3+i323−i321+i32−1−i32000000
χ4122-2-2-1-2211-100i3−i3−i3i31-1000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i32−1+i321−i3200−3−i323+i323+i32−3−i32−1+i321−i32000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i32−1−i321+i32003−i32−3+i32−3+i323−i32−1−i321+i32000000
χ4222-2-2-1-2211-100−i3i3i3−i31-1000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i32−1+i321−i32003+i32−3−i32−3−i323+i32−1+i321−i32000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i32−1−i321+i3200−3+i323−i323−i32−3+i32−1−i321+i32000000
χ432-22-22002-2-200000000002-200−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i30000000000−1+i31−i300−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i30000000000−1−i31+i300
χ442-22-22002-2-20000000000-2200−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i300000000001−i3−1+i300−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i300000000001+i3−1−i300
χ452-2-22200-22-2000000002-20000−1+i31−i31−i3−1+i3−1+i3001−i3−1+i31−i300000000−1+i31−i30000−1−i31+i31+i3−1−i3−1−i3001+i3−1−i31+i300000000−1−i31+i30000
χ462-2-22200-22-200000000-220000−1+i31−i31−i3−1+i3−1+i3001−i3−1+i31−i3000000001−i3−1+i30000−1−i31+i31+i3−1−i3−1−i3001+i3−1−i31+i3000000001+i3−1−i30000
χ474-44-4-200-22200000000000000−2+2i32−2i3−2+2i32−2i31−i3001−i3−1+i3−1+i300000000000000−2−2i32+2i3−2−2i32+2i31+i3001+i3−1−i3−1−i300000000000000
χ484-4-44-2002-2200000000000000−2+2i32−2i32−2i3−2+2i31−i300−1+i31−i3−1+i300000000000000−2−2i32+2i32+2i3−2−2i31+i300−1−i31+i3−1−i300000000000000
χ49111111111111111111111111−1−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−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ50111111111111111111-1-1-1-1-1-1−1−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−i321+i321+i321+i321+i321+i321+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+i321−i321−i321−i321−i321−i321−i32
χ511111111111-1-1-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ521111111111-1-1-1-1-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ5311111-1-11111-111-1-1-1-111-1-11-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ5411111-1-11111-111-1-1-1-1-1-111-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ5511111-1-1111-11-1-111-1-111-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ5611111-1-1111-11-1-111-1-1-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ572222-122-1-1-122-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ582222-122-1-1-1-2-21111-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32000000
χ592222-1-2-2-1-1-12-2-1-11111000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32000000
χ602222-1-2-2-1-1-1-2211-1-111000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i32000000
χ6122-2-222-2-2-220000002-2000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3000000−1−i31+i3000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3000000−1+i31−i3000000
χ6222-2-22-22-2-22000000-22000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i30000001+i3−1−i3000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i30000001−i3−1+i3000000
χ6322-2-2-12-211-100i3−i3i3−i3-11000000−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i32−1−i321+i32003−i32−3+i323−i32−3+i321+i32−1−i32000000−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i32−1+i321−i3200−3−i323+i32−3−i323+i321−i32−1+i32000000
χ6422-2-2-12-211-100−i3i3−i3i3-11000000−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i32−1−i321+i3200−3+i323−i32−3+i323−i321+i32−1−i32000000−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i32−1+i321−i32003+i32−3−i323+i32−3−i321−i32−1+i32000000
χ6522-2-2-1-2211-100i3−i3−i3i31-1000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i32−1−i321+i32003−i32−3+i32−3+i323−i32−1−i321+i32000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i32−1+i321−i3200−3−i323+i323+i32−3−i32−1+i321−i32000000
χ6622-2-2-1-2211-100−i3i3i3−i31-1000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i32−1−i321+i3200−3+i323−i323−i32−3+i32−1−i321+i32000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i32−1+i321−i32003+i32−3−i32−3−i323+i32−1+i321−i32000000
χ672-22-22002-2-200000000002-200−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i30000000000−1−i31+i300−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i30000000000−1+i31−i300
χ682-22-22002-2-20000000000-2200−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i300000000001+i3−1−i300−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i300000000001−i3−1+i300
χ692-2-22200-22-2000000002-20000−1−i31+i31+i3−1−i3−1−i3001+i3−1−i31+i300000000−1−i31+i30000−1+i31−i31−i3−1+i3−1+i3001−i3−1+i31−i300000000−1+i31−i30000
χ702-2-22200-22-200000000-220000−1−i31+i31+i3−1−i3−1−i3001+i3−1−i31+i3000000001+i3−1−i30000−1+i31−i31−i3−1+i3−1+i3001−i3−1+i31−i3000000001−i3−1+i30000
χ714-44-4-200-22200000000000000−2−2i32+2i3−2−2i32+2i31+i3001+i3−1−i3−1−i300000000000000−2+2i32−2i3−2+2i32−2i31−i3001−i3−1+i3−1+i300000000000000
χ724-4-44-2002-2200000000000000−2−2i32+2i32+2i3−2−2i31+i300−1−i31+i3−1−i300000000000000−2+2i32−2i32−2i3−2+2i31−i300−1+i31−i3−1+i300000000000000

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