Finite Group Databasebeta

← Group #11796894

Character table — Group #11796894

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222444444448888181824242424242424242424242436363636361122244444444888818182424242424242424242424243636363636
order12244336666121261212128822666688242424248161616162224466666612126121212882266668824242424816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-11-1-1-1-11111111111111111111111111-1-1-1-1-1-11-1-1-1-1
χ31111111111111111111-1-1-1-1-1-11111111-1-1-1-11111111111111111111-1-1-1-1-1-11111111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ511-1-1111-1-111-1-1-111-1-1-11-111-1-1i−iii−i−i1ii−i−i11-1-1111-1-111-1-1-111-1-1-11-111-1-1i−iii−i−i1ii−i−i
χ611-1-1111-1-111-1-1-111-1-1-11-111-1-1−ii−i−iii1−i−iii11-1-1111-1-111-1-1-111-1-1-11-111-1-1−ii−i−iii1−i−iii
χ711-1-1111-1-111-1-1-111-1-1-1-11-1-111i−iii−i−i1−i−iii11-1-1111-1-111-1-1-111-1-1-1-11-1-111i−iii−i−i1−i−iii
χ811-1-1111-1-111-1-1-111-1-1-1-11-1-111−ii−i−iii1ii−i−i11-1-1111-1-111-1-1-111-1-1-1-11-1-111−ii−i−iii1ii−i−i
χ922222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-20000
χ10222-2-2222222-2-22-2-2-2000000000000000−i2i2−i2i2222-2-2222222-2-22-2-2-2000000000000000−i2i2−i2i2
χ11222-2-2222222-2-22-2-2-2000000000000000i2−i2i2−i2222-2-2222222-2-22-2-2-2000000000000000i2−i2i2−i2
χ1222-22-222-2-22222-2-2-220000000000000002−2−2222-22-222-2-22222-2-2-220000000000000002−2−22
χ1322-22-222-2-22222-2-2-22000000000000000−222−222-22-222-2-22222-2-2-22000000000000000−222−2
χ1422-2-2222-2-222-2-2-222-222000000000000-2000022-2-2222-2-222-2-2-222-222000000000000-20000
χ15444441-2-2-21-21111-2-20000000022-1-1-1-100000444441-2-2-21-21111-2-20000000022-1-1-1-100000
χ16444441-2-2-21-21111-2-200000000-2-2111100000444441-2-2-21-21111-2-200000000-2-2111100000
χ1744444-2111-21-2-2-2-2110022-1-1-1-10000000000044444-2111-21-2-2-2-2110022-1-1-1-100000000000
χ1844444-2111-21-2-2-2-21100-2-211110000000000044444-2111-21-2-2-2-21100-2-2111100000000000
χ19444-4-41-2-2-21-2-1-11-12200000000003−33−300000444-4-41-2-2-21-2-1-11-12200000000003−33−300000
χ20444-4-41-2-2-21-2-1-11-1220000000000−33−3300000444-4-41-2-2-21-2-1-11-1220000000000−33−3300000
χ21444-4-4-2111-2122-22-1-10000−i3i3−i3i300000000000444-4-4-2111-2122-22-1-10000−i3i3−i3i300000000000
χ22444-4-4-2111-2122-22-1-10000i3−i3i3−i300000000000444-4-4-2111-2122-22-1-10000i3−i3i3−i300000000000
χ2344-44-41-2221-211-1-12-20000000000−i3i3i3−i30000044-44-41-2221-211-1-12-20000000000−i3i3i3−i300000
χ2444-44-41-2221-211-1-12-20000000000i3−i3−i3i30000044-44-41-2221-211-1-12-20000000000i3−i3−i3i300000
χ2544-44-4-21-1-1-21-2-222-110000−i3i3i3−i30000000000044-44-4-21-1-1-21-2-222-110000−i3i3i3−i300000000000
χ2644-44-4-21-1-1-21-2-222-110000i3−i3−i3i30000000000044-44-4-21-1-1-21-2-222-110000i3−i3−i3i300000000000
χ2744-4-441-2221-2-1-1-11-22000000002i−2i−i−iii0000044-4-441-2221-2-1-1-11-22000000002i−2i−i−iii00000
χ2844-4-441-2221-2-1-1-11-2200000000−2i2iii−i−i0000044-4-441-2221-2-1-1-11-2200000000−2i2iii−i−i00000
χ2944-4-44-21-1-1-21222-21-1002-2-1-1110000000000044-4-44-21-1-1-21222-21-1002-2-1-11100000000000
χ3044-4-44-21-1-1-21222-21-100-2211-1-10000000000044-4-44-21-1-1-21222-21-100-2211-1-100000000000
χ314-40004400-4-400000022−22000000000000000004-40004400-4-400000022−2200000000000000000
χ324-40004400-4-4000000−2222000000000000000004-40004400-4-4000000−222200000000000000000
χ338-80002-400-246i−6i000000000000000000000008-80002-400-246i−6i00000000000000000000000
χ348-80002-400-24−6i6i000000000000000000000008-80002-400-24−6i6i00000000000000000000000
χ358-8000-426-64-200000000000000000000000008-8000-426-64-20000000000000000000000000
χ368-8000-42-664-200000000000000000000000008-8000-42-664-20000000000000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111
χ391111111111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111
χ401111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1
χ4111-1-1111-1-111-1-1-111-1-1-11-111-1-1i−iii−i−i1ii−i−i-1-111-1-1-111-1-1111-1-1111-11-1-111−ii−i−iii-1−i−iii
χ4211-1-1111-1-111-1-1-111-1-1-11-111-1-1−ii−i−iii1−i−iii-1-111-1-1-111-1-1111-1-1111-11-1-111i−iii−i−i-1ii−i−i
χ4311-1-1111-1-111-1-1-111-1-1-1-11-1-111i−iii−i−i1−i−iii-1-111-1-1-111-1-1111-1-11111-111-1-1−ii−i−iii-1ii−i−i
χ4411-1-1111-1-111-1-1-111-1-1-1-11-1-111−ii−i−iii1ii−i−i-1-111-1-1-111-1-1111-1-11111-111-1-1i−iii−i−i-1−i−iii
χ4522222222222222222-2-2000000000000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200000000000020000
χ46222-2-2222222-2-22-2-2-2000000000000000−i2i2−i2i2-2-2-222-2-2-2-2-2-222-2222000000000000000i2−i2i2−i2
χ47222-2-2222222-2-22-2-2-2000000000000000i2−i2i2−i2-2-2-222-2-2-2-2-2-222-2222000000000000000−i2i2−i2i2
χ4822-22-222-2-22222-2-2-220000000000000002−2−22-2-22-22-2-222-2-2-2-2222-2000000000000000−222−2
χ4922-22-222-2-22222-2-2-22000000000000000−222−2-2-22-22-2-222-2-2-2-2222-20000000000000002−2−22
χ5022-2-2222-2-222-2-2-222-222000000000000-20000-2-222-2-2-222-2-2222-2-22-2-200000000000020000
χ51444441-2-2-21-21111-2-20000000022-1-1-1-100000-4-4-4-4-4-1222-12-1-1-1-12200000000-2-2111100000
χ52444441-2-2-21-21111-2-200000000-2-2111100000-4-4-4-4-4-1222-12-1-1-1-1220000000022-1-1-1-100000
χ5344444-2111-21-2-2-2-2110022-1-1-1-100000000000-4-4-4-4-42-1-1-12-12222-1-100-2-2111100000000000
χ5444444-2111-21-2-2-2-21100-2-2111100000000000-4-4-4-4-42-1-1-12-12222-1-10022-1-1-1-100000000000
χ55444-4-41-2-2-21-2-1-11-12200000000003−33−300000-4-4-444-1222-1211-11-2-20000000000−33−3300000
χ56444-4-41-2-2-21-2-1-11-1220000000000−33−3300000-4-4-444-1222-1211-11-2-200000000003−33−300000
χ57444-4-4-2111-2122-22-1-10000−i3i3−i3i300000000000-4-4-4442-1-1-12-1-2-22-2110000i3−i3i3−i300000000000
χ58444-4-4-2111-2122-22-1-10000i3−i3i3−i300000000000-4-4-4442-1-1-12-1-2-22-2110000−i3i3−i3i300000000000
χ5944-44-41-2221-211-1-12-20000000000−i3i3i3−i300000-4-44-44-12-2-2-12-1-111-220000000000i3−i3−i3i300000
χ6044-44-41-2221-211-1-12-20000000000i3−i3−i3i300000-4-44-44-12-2-2-12-1-111-220000000000−i3i3i3−i300000
χ6144-44-4-21-1-1-21-2-222-110000−i3i3i3−i300000000000-4-44-442-1112-122-2-21-10000i3−i3−i3i300000000000
χ6244-44-4-21-1-1-21-2-222-110000i3−i3−i3i300000000000-4-44-442-1112-122-2-21-10000−i3i3i3−i300000000000
χ6344-4-441-2221-2-1-1-11-22000000002i−2i−i−iii00000-4-444-4-12-2-2-12111-12-200000000−2i2iii−i−i00000
χ6444-4-441-2221-2-1-1-11-2200000000−2i2iii−i−i00000-4-444-4-12-2-2-12111-12-2000000002i−2i−i−iii00000
χ6544-4-44-21-1-1-21222-21-1002-2-1-11100000000000-4-444-42-1112-1-2-2-22-1100-2211-1-100000000000
χ6644-4-44-21-1-1-21222-21-100-2211-1-100000000000-4-444-42-1112-1-2-2-22-11002-2-1-11100000000000
χ674-40004400-4-400000022−2200000000000000000-44000-4-40044000000−222200000000000000000
χ684-40004400-4-4000000−222200000000000000000-44000-4-4004400000022−2200000000000000000
χ698-80002-400-246i−6i00000000000000000000000-88000-24002-4−6i6i00000000000000000000000
χ708-80002-400-24−6i6i00000000000000000000000-88000-24002-46i−6i00000000000000000000000
χ718-8000-426-64-20000000000000000000000000-880004-2-66-420000000000000000000000000
χ728-8000-42-664-20000000000000000000000000-880004-26-6-420000000000000000000000000

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