Finite Group Databasebeta

← Group #11796923

Character table — Group #11796923

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222444444448888181824242424242424242424242436363636361122244444444888818182424242424242424242424243636363636
order1224433666612126121212884488121212122424242481616161622244666666121261212128844881212121224242424816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-11111-1-1-1-11-1-1-1-1111111111111111111111-1-11111-1-1-1-11-1-1-1-1
χ31111111111111111111-1-111-1-1-1-111111-1-1-1-11111111111111111111-1-111-1-1-1-111111-1-1-1-1
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
χ511-1-1111-1-111-1-1-111-1-1-11-1i−i11-1-1ii−i−i1ii−i−i11-1-1111-1-111-1-1-111-1-1-11-1i−i11-1-1ii−i−i1ii−i−i
χ611-1-1111-1-111-1-1-111-1-1-11-1−ii11-1-1−i−iii1−i−iii11-1-1111-1-111-1-1-111-1-1-11-1−ii11-1-1−i−iii1−i−iii
χ711-1-1111-1-111-1-1-111-1-1-1-11i−i-1-111ii−i−i1−i−iii11-1-1111-1-111-1-1-111-1-1-1-11i−i-1-111ii−i−i1−i−iii
χ811-1-1111-1-111-1-1-111-1-1-1-11−ii-1-111−i−iii1ii−i−i11-1-1111-1-111-1-1-111-1-1-1-11−ii-1-111−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
χ15444441-211-21-2-2-2-211002200-1-1-1-1000000000444441-211-21-2-2-2-211002200-1-1-1-1000000000
χ16444441-211-21-2-2-2-21100-2-2001111000000000444441-211-21-2-2-2-21100-2-2001111000000000
χ1744444-21-2-21-21111-2-20000220000-1-1-1-10000044444-21-2-21-21111-2-20000220000-1-1-1-100000
χ1844444-21-2-21-21111-2-20000-2-2000011110000044444-21-2-21-21111-2-20000-2-20000111100000
χ19444-4-41-211-2122-22-1-1000000−i3i3−i3i3000000000444-4-41-211-2122-22-1-1000000−i3i3−i3i3000000000
χ20444-4-41-211-2122-22-1-1000000i3−i3i3−i3000000000444-4-41-211-2122-22-1-1000000i3−i3i3−i3000000000
χ21444-4-4-21-2-21-2-1-11-12200000000003−33−300000444-4-4-21-2-21-2-1-11-12200000000003−33−300000
χ22444-4-4-21-2-21-2-1-11-1220000000000−33−3300000444-4-4-21-2-21-2-1-11-1220000000000−33−3300000
χ2344-44-41-2-1-1-21-2-222-11000000−i3i3i3−i300000000044-44-41-2-1-1-21-2-222-11000000−i3i3i3−i3000000000
χ2444-44-41-2-1-1-21-2-222-11000000i3−i3−i3i300000000044-44-41-2-1-1-21-2-222-11000000i3−i3−i3i3000000000
χ2544-44-4-21221-211-1-12-20000000000−i3i3i3−i30000044-44-4-21221-211-1-12-20000000000−i3i3i3−i300000
χ2644-44-4-21221-211-1-12-20000000000i3−i3−i3i30000044-44-4-21221-211-1-12-20000000000i3−i3−i3i300000
χ2744-4-441-2-1-1-21222-21-1002-200-1-11100000000044-4-441-2-1-1-21222-21-1002-200-1-111000000000
χ2844-4-441-2-1-1-21222-21-100-220011-1-100000000044-4-441-2-1-1-21222-21-100-220011-1-1000000000
χ2944-4-44-21221-2-1-1-11-2200002i−2i0000−i−iii0000044-4-44-21221-2-1-1-11-2200002i−2i0000−i−iii00000
χ3044-4-44-21221-2-1-1-11-220000−2i2i0000ii−i−i0000044-4-44-21221-2-1-1-11-220000−2i2i0000ii−i−i00000
χ314-40004400-4-400000022−22000000000000000004-40004400-4-400000022−2200000000000000000
χ324-40004400-4-4000000−2222000000000000000004-40004400-4-4000000−222200000000000000000
χ338-80002-46-64-200000000000000000000000008-80002-46-64-20000000000000000000000000
χ348-80002-4-664-200000000000000000000000008-80002-4-664-20000000000000000000000000
χ358-8000-4200-246i−6i000000000000000000000008-8000-4200-246i−6i00000000000000000000000
χ368-8000-4200-24−6i6i000000000000000000000008-8000-4200-24−6i6i00000000000000000000000
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
χ38111111111111111111111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11111
χ391111111111111111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11111
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
χ4111-1-1111-1-111-1-1-111-1-1-11-1i−i11-1-1ii−i−i1ii−i−i-1-111-1-1-111-1-1111-1-1111-11−ii-1-111−i−iii-1−i−iii
χ4211-1-1111-1-111-1-1-111-1-1-11-1−ii11-1-1−i−iii1−i−iii-1-111-1-1-111-1-1111-1-1111-11i−i-1-111ii−i−i-1ii−i−i
χ4311-1-1111-1-111-1-1-111-1-1-1-11i−i-1-111ii−i−i1−i−iii-1-111-1-1-111-1-1111-1-11111-1−ii11-1-1−i−iii-1ii−i−i
χ4411-1-1111-1-111-1-1-111-1-1-1-11−ii-1-111−i−iii1ii−i−i-1-111-1-1-111-1-1111-1-11111-1i−i11-1-1ii−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
χ51444441-211-21-2-2-2-211002200-1-1-1-1000000000-4-4-4-4-4-12-1-12-12222-1-100-2-2001111000000000
χ52444441-211-21-2-2-2-21100-2-2001111000000000-4-4-4-4-4-12-1-12-12222-1-1002200-1-1-1-1000000000
χ5344444-21-2-21-21111-2-20000220000-1-1-1-100000-4-4-4-4-42-122-12-1-1-1-1220000-2-20000111100000
χ5444444-21-2-21-21111-2-20000-2-20000111100000-4-4-4-4-42-122-12-1-1-1-1220000220000-1-1-1-100000
χ55444-4-41-211-2122-22-1-1000000−i3i3−i3i3000000000-4-4-444-12-1-12-1-2-22-211000000i3−i3i3−i3000000000
χ56444-4-41-211-2122-22-1-1000000i3−i3i3−i3000000000-4-4-444-12-1-12-1-2-22-211000000−i3i3−i3i3000000000
χ57444-4-4-21-2-21-2-1-11-12200000000003−33−300000-4-4-4442-122-1211-11-2-20000000000−33−3300000
χ58444-4-4-21-2-21-2-1-11-1220000000000−33−3300000-4-4-4442-122-1211-11-2-200000000003−33−300000
χ5944-44-41-2-1-1-21-2-222-11000000−i3i3i3−i3000000000-4-44-44-12112-122-2-21-1000000i3−i3−i3i3000000000
χ6044-44-41-2-1-1-21-2-222-11000000i3−i3−i3i3000000000-4-44-44-12112-122-2-21-1000000−i3i3i3−i3000000000
χ6144-44-4-21221-211-1-12-20000000000−i3i3i3−i300000-4-44-442-1-2-2-12-1-111-220000000000i3−i3−i3i300000
χ6244-44-4-21221-211-1-12-20000000000i3−i3−i3i300000-4-44-442-1-2-2-12-1-111-220000000000−i3i3i3−i300000
χ6344-4-441-2-1-1-21222-21-1002-200-1-111000000000-4-444-4-12112-1-2-2-22-1100-220011-1-1000000000
χ6444-4-441-2-1-1-21222-21-100-220011-1-1000000000-4-444-4-12112-1-2-2-22-11002-200-1-111000000000
χ6544-4-44-21221-2-1-1-11-2200002i−2i0000−i−iii00000-4-444-42-1-2-2-12111-12-20000−2i2i0000ii−i−i00000
χ6644-4-44-21221-2-1-1-11-220000−2i2i0000ii−i−i00000-4-444-42-1-2-2-12111-12-200002i−2i0000−i−iii00000
χ674-40004400-4-400000022−2200000000000000000-44000-4-40044000000−222200000000000000000
χ684-40004400-4-4000000−222200000000000000000-44000-4-4004400000022−2200000000000000000
χ698-80002-46-64-20000000000000000000000000-88000-24-66-420000000000000000000000000
χ708-80002-4-664-20000000000000000000000000-88000-246-6-420000000000000000000000000
χ718-8000-4200-246i−6i00000000000000000000000-880004-2002-4−6i6i00000000000000000000000
χ728-8000-4200-24−6i6i00000000000000000000000-880004-2002-46i−6i00000000000000000000000

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