Finite Group Databasebeta

← Group #11921663

Character table — Group #11921663

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222224466666666888888881212121216161616161616162424242424242424242424242424242424242424363672727272
order1222344666121244444444366612121212121212123666121212122466881212121212121212121224242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ3111111111111-1-111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
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
χ511111-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11-1111-1-1-11111-1-1-1-111-1-11-1-111-1
χ611111-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-11111111-1-1-1-1-1-1111-11-1-11
χ711111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-11-1111-1-1-1-1-1-1-1111111-1-1-111-1-11
χ811111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1111-1-1-1-11111-1-111-11-111-1
χ922222222222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000220000
χ10222222222222-2-222-2-222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000111111110000-2-20000
χ1122222-2-2222-2-222-2-2-2-222-1-1-1-11111-2-222-1-1-1-1111100000000-1-1-1-1111100002-20000
χ1222222-2-2222-2-2-2-2-2-22222-1-1-1-11111-2-222-1-1-1-11111000000001111-1-1-1-10000-220000
χ132222-122-1-1-1-1-10022002222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-100000000-1-1-1-1000000
χ142222-122-1-1-1-1-10022002222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211000000001111000000
χ152222-1-2-2-1-1-11100-2-200222222-2-2-2-211-1-1-1-1-1-111112-2-1-12-21100000000-1-111000000
χ162222-1-2-2-1-1-11100-2-200222222-2-2-2-211-1-1-1-1-1-11111-2211-22-1-10000000011-1-1000000
χ1722-2-222i−2i-22-22i−2i002i−2i002-22-22-22i2i−2i−2i2i−2i2-222-2-22i2i−2i−2i00000000000000000000000000
χ1822-2-222i−2i-22-22i−2i002i−2i002-2-11-11−i−iii2i−2i2-2-1-111−i−iii00000000−i3−i3i3i333−3−30000000000
χ1922-2-222i−2i-22-22i−2i002i−2i002-2-11-11−i−iii2i−2i2-2-1-111−i−iii00000000i3i3−i3−i3−3−3330000000000
χ2022-2-22−2i2i-22-2−2i2i00−2i2i002-22-22-2−2i−2i2i2i−2i2i2-222-2-2−2i−2i2i2i00000000000000000000000000
χ2122-2-22−2i2i-22-2−2i2i00−2i2i002-2-11-11ii−i−i−2i2i2-2-1-111ii−i−i00000000−i3−i3i3i3−3−3330000000000
χ2222-2-22−2i2i-22-2−2i2i00−2i2i002-2-11-11ii−i−i−2i2i2-2-1-111ii−i−i00000000i3i3−i3−i333−3−30000000000
χ2322-2-2-12i−2i1-11−ii002i−2i002-22-22-22i2i−2i−2i−ii-11-1-111−i−iii00−i3i3003−300000000−i3i33−3000000
χ2422-2-2-12i−2i1-11−ii002i−2i002-22-22-22i2i−2i−2i−ii-11-1-111−i−iii00i3−i300−3300000000i3−i3−33000000
χ2522-2-2-1−2i2i1-11i−i00−2i2i002-22-22-2−2i−2i2i2ii−i-11-1-111ii−i−i00−i3i300−3300000000−i3i3−33000000
χ2622-2-2-1−2i2i1-11i−i00−2i2i002-22-22-2−2i−2i2i2ii−i-11-1-111ii−i−i00i3−i3003−300000000i3−i33−3000000
χ2733333333333333-1-133-1-100000000-1-1-1-1000000001111-1-11100000000-1-1-1-1-1-111-1-1
χ2833333333333333-1-133-1-100000000-1-1-1-100000000-1-1-1-111-1-1000000001111-1-1-1-111
χ29333333333333-3-3-1-1-3-3-1-100000000-1-1-1-1000000001111-1-11100000000-1-1-1-111-1-111
χ30333333333333-3-3-1-1-3-3-1-100000000-1-1-1-100000000-1-1-1-111-1-10000000011111111-1-1
χ3133333-3-3333-3-33311-3-3-1-10000000011-1-1000000001-111-11-1-100000000-1-111-11-11-11
χ3233333-3-3333-3-33311-3-3-1-10000000011-1-100000000-11-1-11-1110000000011-1-1-111-11-1
χ3333333-3-3333-3-3-3-31133-1-10000000011-1-1000000001-111-11-1-100000000-1-1111-11-11-1
χ3433333-3-3333-3-3-3-31133-1-10000000011-1-100000000-11-1-11-1110000000011-1-11-1-11-11
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
χ3744-4-4-24i−4i2-22−2i2i004i−4i004-4-22-22−2i−2i2i2i−2i2i-2211-1-1ii−i−i00000000000000000000000000
χ3844-4-4-2−4i4i2-222i−2i00−4i4i004-4-22-222i2i−2i−2i2i−2i-2211-1-1−i−iii00000000000000000000000000
χ394-44-44004-4-4004i−4i00000011-1-1−i3i3−i3i300001-1-11−i3i3−i3i300000000i−ii−i3−33−30000000000
χ404-44-44004-4-4004i−4i00000011-1-1i3−i3i3−i300001-1-11i3−i3i3−i300000000i−ii−i−33−330000000000
χ414-44-44004-4-4004i−4i000000-2-22200000000-222-2000000000000−2i2i−2i2i00000000000000
χ424-44-44004-4-400−4i4i00000011-1-1−i3i3−i3i300001-1-11−i3i3−i3i300000000−ii−ii−33−330000000000
χ434-44-44004-4-400−4i4i00000011-1-1i3−i3i3−i300001-1-11i3−i3i3−i300000000−ii−ii3−33−30000000000
χ444-44-44004-4-400−4i4i000000-2-22200000000-222-20000000000002i−2i2i−2i00000000000000
χ454-4-44400-4-440000004-4001-1-113−3−3300001-11-13−3−33000000003−3−33-111-10000000000
χ464-4-44400-4-440000004-4001-1-11−333−300001-11-1−333−300000000−333−3-111-10000000000
χ474-4-44400-4-440000004-400-222-200000000-22-2200000000000000002-2-220000000000
χ484-4-44400-4-44000000-44001-1-113−3−3300001-11-13−3−3300000000−333−31-1-110000000000
χ494-4-44400-4-44000000-44001-1-11−333−300001-11-1−333−3000000003−3−331-1-110000000000
χ504-4-44400-4-44000000-4400-222-200000000-22-220000000000000000-222-20000000000
χ516666-366-3-3-3-3-300-2-200-2-20000000011110000000022-1-1-2-2-1-1000000001111000000
χ526666-366-3-3-3-3-300-2-200-2-200000000111100000000-2-211221100000000-1-1-1-1000000
χ536666-3-6-6-3-3-333002200-2-200000000-1-111000000002-2-1-1-22110000000011-1-1000000
χ546666-3-6-6-3-3-333002200-2-200000000-1-11100000000-22112-2-1-100000000-1-111000000
χ5566-6-666i−6i-66-66i−6i00−2i2i00-2200000000−2i2i-220000000000000000000000000000000000
χ5666-6-66−6i6i-66-6−6i6i002i−2i00-22000000002i−2i-220000000000000000000000000000000000
χ5766-6-6-36i−6i3-33−3i3i00−2i2i00-2200000000i−i1-10000000000−i3i3003−300000000i3−i3−33000000
χ5866-6-6-36i−6i3-33−3i3i00−2i2i00-2200000000i−i1-10000000000i3−i300−3300000000−i3i33−3000000
χ5966-6-6-3−6i6i3-333i−3i002i−2i00-2200000000−ii1-10000000000−i3i300−3300000000i3−i33−3000000
χ6066-6-6-3−6i6i3-333i−3i002i−2i00-2200000000−ii1-10000000000i3−i3003−300000000−i3i3−33000000
χ618-88-8-400-444000000000022-2-2−2i32i3−2i32i30000-111-1i3−i3i3−i300000000000000000000000000
χ628-88-8-400-444000000000022-2-22i3−2i32i3−2i30000-111-1−i3i3−i3i300000000000000000000000000
χ638-88-8-400-4440000000000-4-444000000002-2-22000000000000000000000000000000
χ648-8-88-40044-400000000002-2-2223−23−23230000-11-11−333−300000000000000000000000000
χ658-8-88-40044-400000000002-2-22−232323−230000-11-113−3−3300000000000000000000000000
χ668-8-88-40044-40000000000-444-4000000002-22-2000000000000000000000000000000

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