Finite Group Databasebeta

← Group #11921721

Character table — Group #11921721

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222224466666666888888881212121216161616161616162424242424242424242424242424242424242424363672727272
order122234466612122244444436661212121212121212366612121212246666668812121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ3111111111111-1-111-1-111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11-11111111-1-1-1-1-1-1-111-1-1-111-11-1
χ611111-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-11-1-11111-1111-1-1-1-1-1-111-11-11-11
χ711111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-11-111-1-1-1-11-1-1-1111111-1-11-1-11-11
χ811111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-1-11111111-1-1111-11-11-1
χ922222222222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-1-1-1-10000-1-1-1-10000220000
χ10222222222222-2-222-2-222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100001111000011110000-2-20000
χ1122222-2-2222-2-222-2-2-2-222-1-1-1-11111-2-222-1-1-1-111110000-1-1-1-1000011110000-220000
χ1222222-2-2222-2-2-2-2-2-22222-1-1-1-11111-2-222-1-1-1-11111000011110000-1-1-1-100002-20000
χ132222-122-1-1-1-1-10022002222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1000022-1-10000-1-1-1-1000000
χ142222-122-1-1-1-1-10022002222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2110000-2-21100001111000000
χ152222-1-2-2-1-1-11100-2-200222222-2-2-2-211-1-1-1-1-1-111112-2-1-100002-2110000-1-111000000
χ162222-1-2-2-1-1-11100-2-200222222-2-2-2-211-1-1-1-1-1-11111-22110000-22-1-1000011-1-1000000
χ172-2-2222i−2i-22-22i−2i002i−2i002-222-2-22i2i−2i−2i2i−2i2-222-2-22i2i−2i−2i00000000000000000000000000
χ182-2-2222i−2i-22-22i−2i002i−2i002-2-1-111−i−iii2i−2i2-2-1-111−i−iii0000−i3−i3i3i3000033−3−30000000000
χ192-2-2222i−2i-22-22i−2i002i−2i002-2-1-111−i−iii2i−2i2-2-1-111−i−iii0000i3i3−i3−i30000−3−3330000000000
χ202-2-222−2i2i-22-2−2i2i00−2i2i002-222-2-2−2i−2i2i2i−2i2i2-222-2-2−2i−2i2i2i00000000000000000000000000
χ212-2-222−2i2i-22-2−2i2i00−2i2i002-2-1-111ii−i−i−2i2i2-2-1-111ii−i−i0000−i3−i3i3i30000−3−3330000000000
χ222-2-222−2i2i-22-2−2i2i00−2i2i002-2-1-111ii−i−i−2i2i2-2-1-111ii−i−i0000i3i3−i3−i3000033−3−30000000000
χ232-2-22-12i−2i1-11−ii002i−2i002-222-2-22i2i−2i−2i−ii-11-1-111−i−iii00−i3i30000003−30000−i3i33−3000000
χ242-2-22-12i−2i1-11−ii002i−2i002-222-2-22i2i−2i−2i−ii-11-1-111−i−iii00i3−i3000000−330000i3−i3−33000000
χ252-2-22-1−2i2i1-11i−i00−2i2i002-222-2-2−2i−2i2i2ii−i-11-1-111ii−i−i00−i3i3000000−330000−i3i3−33000000
χ262-2-22-1−2i2i1-11i−i00−2i2i002-222-2-2−2i−2i2i2ii−i-11-1-111ii−i−i00i3−i30000003−30000i3−i33−3000000
χ2733333333333333-1-133-1-100000000-1-1-1-10000000011110000-1-1110000-1-1-1-1-1-111-1-1
χ2833333333333333-1-133-1-100000000-1-1-1-100000000-1-1-1-1000011-1-100001111-1-1-1-111
χ29333333333333-3-3-1-1-3-3-1-100000000-1-1-1-10000000011110000-1-1110000-1-1-1-111-1-111
χ30333333333333-3-3-1-1-3-3-1-100000000-1-1-1-100000000-1-1-1-1000011-1-1000011111111-1-1
χ3133333-3-3333-3-33311-3-3-1-10000000011-1-1000000001-1110000-11-1-10000-1-1111-11-1-11
χ3233333-3-3333-3-33311-3-3-1-10000000011-1-100000000-11-1-100001-111000011-1-11-1-111-1
χ3333333-3-3333-3-3-3-31133-1-10000000011-1-1000000001-1110000-11-1-10000-1-111-11-111-1
χ3433333-3-3333-3-3-3-31133-1-10000000011-1-100000000-11-1-100001-111000011-1-1-111-1-11
χ354444-244-2-2-2-2-200440044-2-2-2-2-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ364444-2-4-4-2-2-22200-4-40044-2-2-2-2222222-2-21111-1-1-1-100000000000000000000000000
χ3744-4-4400-4-440000004i−4i001-11-13−33−300001-11-13−33−30000−i3i3−i3i30000i−ii−i0000000000
χ3844-4-4400-4-440000004i−4i001-11-1−33−3300001-11-1−33−330000i3−i3i3−i30000i−ii−i0000000000
χ3944-4-4400-4-440000004i−4i00-22-2200000000-22-220000000000000000−2i2i−2i2i0000000000
χ4044-4-4400-4-44000000−4i4i001-11-13−33−300001-11-13−33−30000i3−i3i3−i30000−ii−ii0000000000
χ4144-4-4400-4-44000000−4i4i001-11-1−33−3300001-11-1−33−330000−i3i3−i3i30000−ii−ii0000000000
χ4244-4-4400-4-44000000−4i4i00-22-2200000000-22-2200000000000000002i−2i2i−2i0000000000
χ434-44-44004-4-4004-40000001-1-11−i3i3i3−i300001-1-11−i3i3i3−i300001-1-110000−i3i3i3−i30000000000
χ444-44-44004-4-4004-40000001-1-11i3−i3−i3i300001-1-11i3−i3−i3i300001-1-110000i3−i3−i3i30000000000
χ454-44-44004-4-4004-4000000-222-200000000-222-200000000-222-2000000000000000000
χ464-44-44004-4-400-440000001-1-11−i3i3i3−i300001-1-11−i3i3i3−i30000-111-10000i3−i3−i3i30000000000
χ474-44-44004-4-400-440000001-1-11i3−i3−i3i300001-1-11i3−i3−i3i30000-111-10000−i3i3i3−i30000000000
χ484-44-44004-4-400-44000000-222-200000000-222-2000000002-2-22000000000000000000
χ494-4-44-24i−4i2-22−2i2i004i−4i004-4-2-222−2i−2i2i2i−2i2i-2211-1-1ii−i−i00000000000000000000000000
χ504-4-44-2−4i4i2-222i−2i00−4i4i004-4-2-2222i2i−2i−2i2i−2i-2211-1-1−i−iii00000000000000000000000000
χ516666-366-3-3-3-3-300-2-200-2-20000000011110000000022-1-10000-2-2-1-100001111000000
χ526666-366-3-3-3-3-300-2-200-2-200000000111100000000-2-211000022110000-1-1-1-1000000
χ536666-3-6-6-3-3-333002200-2-200000000-1-111000000002-2-1-10000-2211000011-1-1000000
χ546666-3-6-6-3-3-333002200-2-200000000-1-11100000000-221100002-2-1-10000-1-111000000
χ556-6-6666i−6i-66-66i−6i00−2i2i00-2200000000−2i2i-220000000000000000000000000000000000
χ566-6-666−6i6i-66-6−6i6i002i−2i00-22000000002i−2i-220000000000000000000000000000000000
χ576-6-66-36i−6i3-33−3i3i00−2i2i00-2200000000i−i1-10000000000−i3i30000003−30000i3−i3−33000000
χ586-6-66-36i−6i3-33−3i3i00−2i2i00-2200000000i−i1-10000000000i3−i3000000−330000−i3i33−3000000
χ596-6-66-3−6i6i3-333i−3i002i−2i00-2200000000−ii1-10000000000−i3i3000000−330000i3−i33−3000000
χ606-6-66-3−6i6i3-333i−3i002i−2i00-2200000000−ii1-10000000000i3−i30000003−30000−i3i3−33000000
χ6188-8-8-40044-400000000002-22-223−2323−230000-11-11−33−3300000000000000000000000000
χ6288-8-8-40044-400000000002-22-2−2323−23230000-11-113−33−300000000000000000000000000
χ6388-8-8-40044-40000000000-44-44000000002-22-2000000000000000000000000000000
χ648-88-8-400-44400000000002-2-22−2i32i32i3−2i30000-111-1i3−i3−i3i300000000000000000000000000
χ658-88-8-400-44400000000002-2-222i3−2i3−2i32i30000-111-1−i3i3i3−i300000000000000000000000000
χ668-88-8-400-4440000000000-444-4000000002-2-22000000000000000000000000000000

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