Finite Group Databasebeta

← Group #64005

Character table — Group #64005

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222244444444666612121111222222444444446666121211112222224444444466661212
order122222366644661212121222222436666636661212661212121266666123666663666121266121212126666612
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1
χ41111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111
χ51111-1-111111-1-1-111-1-111-1-11-11111-1-111111-1-1-111-1-111-1-11-11111-1-111111-1-1-111-1-111-1-11-1
χ61111-1-111111-1-1-111-1-1-1-111-111111-1-111111-1-1-111-1-1-1-111-111111-1-111111-1-1-111-1-1-1-111-11
χ71111-1-11111-11-1-1-1-11111-1-1-111111-1-11111-11-1-1-1-11111-1-1-111111-1-11111-11-1-1-1-11111-1-1-11
χ81111-1-11111-11-1-1-1-111-1-1111-11111-1-11111-11-1-1-1-111-1-1111-11111-1-11111-11-1-1-1-111-1-1111-1
χ9222222-1-1-1-122-1-1-1-1-1-1000000222222-1-1-1-122-1-1-1-1-1-1000000222222-1-1-1-122-1-1-1-1-1-1000000
χ10222222-1-1-1-1-2-2-1-11111000000222222-1-1-1-1-2-2-1-11111000000222222-1-1-1-1-2-2-1-11111000000
χ112222-2-2-1-1-1-12-211-1-1110000002222-2-2-1-1-1-12-211-1-1110000002222-2-2-1-1-1-12-211-1-111000000
χ122222-2-2-1-1-1-1-221111-1-10000002222-2-2-1-1-1-1-221111-1-10000002222-2-2-1-1-1-1-221111-1-1000000
χ1322-2-2002-22-2000000002-2000022-2-2002-22-2000000002-2000022-2-2002-22-2000000002-20000
χ1422-2-2002-22-200000000-22000022-2-2002-22-200000000-22000022-2-2002-22-200000000-220000
χ152-22-2002-2-2200000000002-2002-22-2002-2-2200000000002-2002-22-2002-2-2200000000002-200
χ162-22-2002-2-220000000000-22002-22-2002-2-220000000000-22002-22-2002-2-220000000000-2200
χ172-2-222-222-2-2002-200000000002-2-222-222-2-2002-200000000002-2-222-222-2-2002-20000000000
χ182-2-222-2-1-11100-113−33−30000002-2-222-2-1-11100-113−33−30000002-2-222-2-1-11100-113−33−3000000
χ192-2-222-2-1-11100-11−33−330000002-2-222-2-1-11100-11−33−330000002-2-222-2-1-11100-11−33−33000000
χ202-2-22-2222-2-200-2200000000002-2-22-2222-2-200-2200000000002-2-22-2222-2-200-220000000000
χ212-2-22-22-1-111001-13−3−330000002-2-22-22-1-111001-13−3−330000002-2-22-22-1-111001-13−3−33000000
χ222-2-22-22-1-111001-1−333−30000002-2-22-22-1-111001-1−333−30000002-2-22-22-1-111001-1−333−3000000
χ2344-4-400-22-220000000000000044-4-400-22-220000000000000044-4-400-22-2200000000000000
χ244-44-400-222-2000000000000004-44-400-222-2000000000000004-44-400-222-200000000000000
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
χ271111111111-1-111-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ281111111111-1-111-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−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−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ291111-1-111111-1-1-111-1-111-1-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ301111-1-111111-1-1-111-1-1-1-111-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ311111-1-11111-11-1-1-1-11111-1-1-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ321111-1-11111-11-1-1-1-111-1-1111-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32
χ33222222-1-1-1-122-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ34222222-1-1-1-1-2-2-1-11111000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32000000
χ352222-2-2-1-1-1-12-211-1-111000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32000000
χ362222-2-2-1-1-1-1-221111-1-1000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i32000000
χ3722-2-2002-22-2000000002-20000−1+i3−1+i31−i31−i300−1+i31−i3−1+i31−i300000000−1+i31−i30000−1−i3−1−i31+i31+i300−1−i31+i3−1−i31+i300000000−1−i31+i30000
χ3822-2-2002-22-200000000-220000−1+i3−1+i31−i31−i300−1+i31−i3−1+i31−i3000000001−i3−1+i30000−1−i3−1−i31+i31+i300−1−i31+i3−1−i31+i3000000001+i3−1−i30000
χ392-22-2002-2-2200000000002-200−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i30000000000−1+i31−i300−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i30000000000−1−i31+i300
χ402-22-2002-2-220000000000-2200−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i300000000001−i3−1+i300−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i300000000001+i3−1−i300
χ412-2-222-222-2-2002-20000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i300−1+i31−i30000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i300−1−i31+i30000000000
χ422-2-222-2-1-11100-113−33−3000000−1+i31−i31−i3−1+i3−1+i31−i31−i321−i32−1+i32−1+i32001−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11000000−1−i31+i31+i3−1−i3−1−i31+i31+i321+i32−1−i32−1−i32001+i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11000000
χ432-2-222-2-1-11100-11−33−33000000−1+i31−i31−i3−1+i3−1+i31−i31−i321−i32−1+i32−1+i32001−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11000000−1−i31+i31+i3−1−i3−1−i31+i31+i321+i32−1−i32−1−i32001+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11000000
χ442-2-22-2222-2-200-220000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i30000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i30000000000
χ452-2-22-22-1-111001-13−3−33000000−1+i31−i31−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i3200−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000−1−i31+i31+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i3200−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000
χ462-2-22-22-1-111001-1−333−3000000−1+i31−i31−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i3200−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000−1−i31+i31+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i3200−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000
χ4744-4-400-22-2200000000000000−2+2i3−2+2i32−2i32−2i3001−i3−1+i31−i3−1+i300000000000000−2−2i3−2−2i32+2i32+2i3001+i3−1−i31+i3−1−i300000000000000
χ484-44-400-222-200000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i3−1+i31−i300000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i3−1−i31+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
χ511111111111-1-111-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ521111111111-1-111-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+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+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ531111-1-111111-1-1-111-1-111-1-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ541111-1-111111-1-1-111-1-1-1-111-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ551111-1-11111-11-1-1-1-11111-1-1-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
χ561111-1-11111-11-1-1-1-111-1-1111-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ57222222-1-1-1-122-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ58222222-1-1-1-1-2-2-1-11111000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32000000
χ592222-2-2-1-1-1-12-211-1-111000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32000000
χ602222-2-2-1-1-1-1-221111-1-1000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i32000000
χ6122-2-2002-22-2000000002-20000−1−i3−1−i31+i31+i300−1−i31+i3−1−i31+i300000000−1−i31+i30000−1+i3−1+i31−i31−i300−1+i31−i3−1+i31−i300000000−1+i31−i30000
χ6222-2-2002-22-200000000-220000−1−i3−1−i31+i31+i300−1−i31+i3−1−i31+i3000000001+i3−1−i30000−1+i3−1+i31−i31−i300−1+i31−i3−1+i31−i3000000001−i3−1+i30000
χ632-22-2002-2-2200000000002-200−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i30000000000−1−i31+i300−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i30000000000−1+i31−i300
χ642-22-2002-2-220000000000-2200−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i300000000001+i3−1−i300−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i300000000001−i3−1+i300
χ652-2-222-222-2-2002-20000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i300−1−i31+i30000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i300−1+i31−i30000000000
χ662-2-222-2-1-11100-113−33−3000000−1−i31+i31+i3−1−i3−1−i31+i31+i321+i32−1−i32−1−i32001+i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11000000−1+i31−i31−i3−1+i3−1+i31−i31−i321−i32−1+i32−1+i32001−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ672-2-222-2-1-11100-11−33−33000000−1−i31+i31+i3−1−i3−1−i31+i31+i321+i32−1−i32−1−i32001+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11000000−1+i31−i31−i3−1+i3−1+i31−i31−i321−i32−1+i32−1+i32001−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ682-2-22-2222-2-200-220000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i30000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i30000000000
χ692-2-22-22-1-111001-13−3−33000000−1−i31+i31+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i3200−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000−1+i31−i31−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i3200−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ702-2-22-22-1-111001-1−333−3000000−1−i31+i31+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i3200−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000−1+i31−i31−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i3200−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ7144-4-400-22-2200000000000000−2−2i3−2−2i32+2i32+2i3001+i3−1−i31+i3−1−i300000000000000−2+2i3−2+2i32−2i32−2i3001−i3−1+i31−i3−1+i300000000000000
χ724-44-400-222-200000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i3−1−i31+i300000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i3−1+i31−i300000000000000

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