Finite Group Databasebeta

← Group #72221953

Character table — Group #72221953

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1233666666666912121218181818181818181818181818181827273636363636363636363636365454545454545454545454818181818181162162162162162162
order133333333333323333333333333366666633399999999966666666666226666666666
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111-111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-1-1
χ41111111111111-111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1111
χ511−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ611−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32
χ711−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i32-11−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321+i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i32-1-11−i321−i321−i321+i321+i321+i321-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32
χ811−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i32-11−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321+i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32
χ911−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ1011−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32
χ1111−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i32-11−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321−i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i32-1-11+i321+i321+i321−i321−i321−i321-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32
χ1211−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i32-11−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321−i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32
χ132222222222222022222222222-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-100000000000020022000-1-1-1
χ142222222222222022222222222-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000-200-2-2000111
χ152222222-1-1-12222-1-1-1-1-12-1-12-1-1222222222-1-1-12-1-12-1-12-1-1-1-1-1-1-12-1-12-1-1000000000000
χ162222222-1-1-1222-2-1-1-1-1-12-1-12-1-1222-2-2-2-2-2-2-1-1-12-1-12-1-12-1-111111-211-211000000000000
χ172222-1-1-12222222222-1-1-1-1-1-1-1-12222-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1000000000000
χ182222-1-1-1222222-2222-1-1-1-1-1-1-1-1222-2111-2-2222-1-1-1-1-1-1-1-1-1-2-2-211111111000000000000
χ192222-1-1-1-1-1-12222-1-1-12-1-12-1-12-12222-1-1-122-1-1-1-12-1-12-1-12-1-1-1-12-1-12-1-12-1000000000000
χ202222-1-1-1-1-1-12222-1-1-1-12-1-12-1-122222-1-1-122-1-1-1-1-12-1-12-1-12-1-1-1-12-1-12-1-12000000000000
χ212222-1-1-1-1-1-1222-2-1-1-12-1-12-1-12-1222-2111-2-2-1-1-1-12-1-12-1-12-1111-211-211-21000000000000
χ222222-1-1-1-1-1-1222-2-1-1-1-12-1-12-1-12222-2111-2-2-1-1-1-1-12-1-12-1-121111-211-211-2000000000000
χ2322−1+i3−1−i32222−1+i3−1−i32−1+i3−1−i302−1+i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32000000-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000200−1+i3−1−i3000-11−i321+i32
χ2422−1+i3−1−i32222−1+i3−1−i32−1+i3−1−i302−1+i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32000000-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000-2001−i31+i30001−1+i32−1−i32
χ2522−1+i3−1−i3222-11−i321+i322−1+i3−1−i32-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i322−1+i3−1−i32222−1+i3−1−i3-11−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i32000000000000
χ2622−1+i3−1−i3222-11−i321+i322−1+i3−1−i3-2-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i322−1+i3−1−i3-2-2-2-21−i31+i3-11−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i321−1+i32−1−i32111−i3−1+i32−1+i321+i3−1−i32−1−i32000000000000
χ2722−1+i3−1−i3-1-1-12−1+i3−1−i32−1+i3−1−i322−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i322−1+i3−1−i32-1-1-1−1+i3−1−i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i322−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i32000000000000
χ2822−1+i3−1−i3-1-1-12−1+i3−1−i32−1+i3−1−i3-22−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i322−1+i3−1−i3-21111−i31+i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-21−i31+i311−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000
χ2922−1+i3−1−i3-1-1-1-11−i321+i322−1+i3−1−i32-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i322−1+i3−1−i32-1-1-1−1+i3−1−i3-11−i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i32000000000000
χ3022−1+i3−1−i3-1-1-1-11−i321+i322−1+i3−1−i32-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i32−1+i3−1−i32-1-1-1−1+i3−1−i3-11−i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i3000000000000
χ3122−1+i3−1−i3-1-1-1-11−i321+i322−1+i3−1−i3-2-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i322−1+i3−1−i3-21111−i31+i3-11−i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i321−1+i32−1−i32-21−1+i321−i3−1+i32−1−i321+i3−1−i32000000000000
χ3222−1+i3−1−i3-1-1-1-11−i321+i322−1+i3−1−i3-2-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i32−1+i3−1−i3-21111−i31+i3-11−i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i31−1+i32−1−i321-2−1+i32−1+i321−i3−1−i32−1−i321+i3000000000000
χ3322−1−i3−1+i32222−1−i3−1+i32−1−i3−1+i302−1−i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32000000-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000200−1−i3−1+i3000-11+i321−i32
χ3422−1−i3−1+i32222−1−i3−1+i32−1−i3−1+i302−1−i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32000000-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000-2001+i31−i30001−1−i32−1+i32
χ3522−1−i3−1+i3222-11+i321−i322−1−i3−1+i32-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i322−1−i3−1+i32222−1−i3−1+i3-11+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i32000000000000
χ3622−1−i3−1+i3222-11+i321−i322−1−i3−1+i3-2-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i322−1−i3−1+i3-2-2-2-21+i31−i3-11+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i321−1−i32−1+i32111+i3−1−i32−1−i321−i3−1+i32−1+i32000000000000
χ3722−1−i3−1+i3-1-1-12−1−i3−1+i32−1−i3−1+i322−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i322−1−i3−1+i32-1-1-1−1−i3−1+i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i322−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i32000000000000
χ3822−1−i3−1+i3-1-1-12−1−i3−1+i32−1−i3−1+i3-22−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i322−1−i3−1+i3-21111+i31−i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-21+i31−i311−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000
χ3922−1−i3−1+i3-1-1-1-11+i321−i322−1−i3−1+i32-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i322−1−i3−1+i32-1-1-1−1−i3−1+i3-11+i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i32000000000000
χ4022−1−i3−1+i3-1-1-1-11+i321−i322−1−i3−1+i32-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i32−1−i3−1+i32-1-1-1−1−i3−1+i3-11+i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i3000000000000
χ4122−1−i3−1+i3-1-1-1-11+i321−i322−1−i3−1+i3-2-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i322−1−i3−1+i3-21111+i31−i3-11+i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i321−1−i32−1+i32-21−1−i321+i3−1−i32−1+i321−i3−1+i32000000000000
χ4222−1−i3−1+i3-1-1-1-11+i321−i322−1−i3−1+i3-2-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i32−1−i3−1+i3-21111+i31−i3-11+i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i31−1−i32−1+i321-2−1−i32−1−i321+i3−1+i32−1+i321−i3000000000000
χ434444444-2-2-24440-2-2-2-2-24-2-24-2-2-2-2-2000000111-211-211-21100000000000000000000000
χ444444-2-2-24444440444-2-2-2-2-2-2-2-2-2-2-2000000-2-2-211111111100000000000000000000000
χ454444-2-2-2-2-2-24440-2-2-24-2-24-2-24-2-2-2-20000001111-211-211-2100000000000000000000000
χ464444-2-2-2-2-2-24440-2-2-2-24-2-24-2-24-2-2-200000011111-211-211-200000000000000000000000
χ4744−2+2i3−2−2i3444-21−i31+i34−2+2i3−2−2i30-21−i31+i3-2-2−2+2i31−i31−i3−2−2i31+i31+i3-21−i31+i30000001−1+i32−1−i32-2111−i3−1+i32−1+i321+i3−1−i32−1−i3200000000000000000000000
χ4844−2+2i3−2−2i3-2-2-24−2+2i3−2−2i34−2+2i3−2−2i304−2+2i3−2−2i3-2-21−i31−i31−i31+i31+i31+i3-21−i31+i3000000-21−i31+i3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000000000000000000000
χ4944−2+2i3−2−2i3-2-2-2-21−i31+i34−2+2i3−2−2i30-21−i31+i34-21−i3−2+2i31−i31+i3−2−2i31+i3-21−i31+i30000001−1+i32−1−i321-21−1+i321−i3−1+i32−1−i321+i3−1−i3200000000000000000000000
χ5044−2+2i3−2−2i3-2-2-2-21−i31+i34−2+2i3−2−2i30-21−i31+i3-241−i31−i3−2+2i31+i31+i3−2−2i3-21−i31+i30000001−1+i32−1−i3211-2−1+i32−1+i321−i3−1−i32−1−i321+i300000000000000000000000
χ5144−2−2i3−2+2i3444-21+i31−i34−2−2i3−2+2i30-21+i31−i3-2-2−2−2i31+i31+i3−2+2i31−i31−i3-21+i31−i30000001−1−i32−1+i32-2111+i3−1−i32−1−i321−i3−1+i32−1+i3200000000000000000000000
χ5244−2−2i3−2+2i3-2-2-24−2−2i3−2+2i34−2−2i3−2+2i304−2−2i3−2+2i3-2-21+i31+i31+i31−i31−i31−i3-21+i31−i3000000-21+i31−i3111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000000000000000000
χ5344−2−2i3−2+2i3-2-2-2-21+i31−i34−2−2i3−2+2i30-21+i31−i34-21+i3−2−2i31+i31−i3−2+2i31−i3-21+i31−i30000001−1−i32−1+i321-21−1−i321+i3−1−i32−1+i321−i3−1+i3200000000000000000000000
χ5444−2−2i3−2+2i3-2-2-2-21+i31−i34−2−2i3−2+2i30-21+i31−i3-241+i31+i3−2−2i31−i31−i3−2+2i3-21+i31−i30000001−1−i32−1+i3211-2−1−i32−1−i321+i3−1+i32−1+i321−i300000000000000000000000
χ556666000666-3-3-30-3-3-30000000000000000000000000000000000000000202200-1-1-1000
χ566666000666-3-3-30-3-3-30000000000000000000000000000000000000000-20-2-200111000
χ5766−3+3i3−3−3i30006−3+3i3−3−3i3-33−3i323+3i320-33−3i323+3i32000000000000000000000000000000000000000020−1+i3−1−i300-11−i321+i32000
χ5866−3+3i3−3−3i30006−3+3i3−3−3i3-33−3i323+3i320-33−3i323+3i320000000000000000000000000000000000000000-201−i31+i3001−1+i32−1−i32000
χ5966−3−3i3−3+3i30006−3−3i3−3+3i3-33+3i323−3i320-33+3i323−3i32000000000000000000000000000000000000000020−1−i3−1+i300-11+i321−i32000
χ6066−3−3i3−3+3i30006−3−3i3−3+3i3-33+3i323−3i320-33+3i323−3i320000000000000000000000000000000000000000-201+i31−i3001−1−i32−1+i32000
χ6112121212000-6-6-6-6-6-603330000000000000000000000000000000000000000000000000000
χ621212−6+6i3−6−6i3000-63−3i33+3i3-63−3i33+3i303−3+3i32−3−3i320000000000000000000000000000000000000000000000000000
χ631212−6−6i3−6+6i3000-63+3i33−3i3-63+3i33−3i303−3−3i32−3+3i320000000000000000000000000000000000000000000000000000
χ6418-90009-9000000600000000000000-36-3-30000000000000000000000000000000000000
χ6518-90009-9000000-6000000000000003-6330000000000000000000000000000000000000
χ6618-9009-90000000600000000000000-3-3-360000000000000000000000000000000000000
χ6718-9009-90000000-600000000000000333-60000000000000000000000000000000000000
χ6818-900-909000000600000000000000-3-36-30000000000000000000000000000000000000
χ6918-900-909000000-60000000000000033-630000000000000000000000000000000000000

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