Finite Group Databasebeta

← Group #11797108

Character table — Group #11797108

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
χ511-1-1111-111-1-1-1-111-111i−ii−iii−i−iii−i−i-111-1-111-1-1111-111-1-1-1-111-111i−ii−iii−i−iii−i−i-111-1-1
χ611-1-1111-111-1-1-1-111-111i−i−iiii−i−i−i−iii-1-1-11111-1-1111-111-1-1-1-111-111i−i−iiii−i−i−i−iii-1-1-111
χ711-1-1111-111-1-1-1-111-111−iii−i−i−iiiii−i−i-1-1-11111-1-1111-111-1-1-1-111-111−iii−i−i−iiiii−i−i-1-1-111
χ811-1-1111-111-1-1-1-111-111−ii−ii−i−iii−i−iii-111-1-111-1-1111-111-1-1-1-111-111−ii−ii−i−iii−i−iii-111-1-1
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
χ1222-22-222-222-222-2-2-22000000000000000−i2i2i2−i222-22-222-222-222-2-2-22000000000000000−i2i2i2−i2
χ1322-22-222-222-222-2-2-22000000000000000i2−i2−i2i222-22-222-222-222-2-2-22000000000000000i2−i2−i2i2
χ1422-2-2222-222-2-2-2-222-2-2-20000000000002000022-2-2222-222-2-2-2-222-2-2-200000000000020000
χ15444441-211-21-2-2-21-21002200-1-1-1-1000000000444441-211-21-2-2-21-21002200-1-1-1-1000000000
χ16444441-211-21-2-2-21-2100-2-2001111000000000444441-211-21-2-2-21-2100-2-2001111000000000
χ1744444-21-2-21-2111-21-20000220000-1-1-1-10000044444-21-2-21-2111-21-20000220000-1-1-1-100000
χ1844444-21-2-21-2111-21-20000-2-2000011110000044444-21-2-21-2111-21-20000-2-20000111100000
χ19444-4-41-211-2122-2-12-1000000−i3i3−i3i3000000000444-4-41-211-2122-2-12-1000000−i3i3−i3i3000000000
χ20444-4-41-211-2122-2-12-1000000i3−i3i3−i3000000000444-4-41-211-2122-2-12-1000000i3−i3i3−i3000000000
χ21444-4-4-21-2-21-2-1-112-1200000000003−33−300000444-4-4-21-2-21-2-1-112-1200000000003−33−300000
χ22444-4-4-21-2-21-2-1-112-120000000000−33−3300000444-4-4-21-2-21-2-1-112-120000000000−33−3300000
χ2344-44-41-2-11-2-1-2-22-1210000003−3−3300000000044-44-41-2-11-2-1-2-22-1210000003−3−33000000000
χ2444-44-41-2-11-2-1-2-22-121000000−333−300000000044-44-41-2-11-2-1-2-22-121000000−333−3000000000
χ2544-44-4-212-21211-12-1-20000000000−i3i3i3−i30000044-44-4-212-21211-12-1-20000000000−i3i3i3−i300000
χ2644-44-4-212-21211-12-1-20000000000i3−i3−i3i30000044-44-4-212-21211-12-1-20000000000i3−i3−i3i300000
χ2744-4-441-2-11-2-12221-2-1002i−2i00−i−iii00000000044-4-441-2-11-2-12221-2-1002i−2i00−i−iii000000000
χ2844-4-441-2-11-2-12221-2-100−2i2i00ii−i−i00000000044-4-441-2-11-2-12221-2-100−2i2i00ii−i−i000000000
χ2944-4-44-212-212-1-1-1-21200002i−2i0000−i−iii0000044-4-44-212-212-1-1-1-21200002i−2i0000−i−iii00000
χ3044-4-44-212-212-1-1-1-2120000−2i2i0000ii−i−i0000044-4-44-212-212-1-1-1-2120000−2i2i0000ii−i−i00000
χ314-4000440-4-40000000−2i22i2000000000000000004-4000440-4-40000000−2i22i200000000000000000
χ324-4000440-4-400000002i2−2i2000000000000000004-4000440-4-400000002i2−2i200000000000000000
χ338-80002-46-24-600000000000000000000000008-80002-46-24-60000000000000000000000000
χ348-80002-4-6-24600000000000000000000000008-80002-4-6-2460000000000000000000000000
χ358-8000-4204-206i−6i000000000000000000000008-8000-4204-206i−6i00000000000000000000000
χ368-8000-4204-20−6i6i000000000000000000000008-8000-4204-20−6i6i00000000000000000000000
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
χ4111-1-1111-111-1-1-1-111-111i−ii−iii−i−iii−i−i-111-1-1-1-111-1-1-11-1-11111-1-11-1-1−ii−ii−i−iii−i−iii1-1-111
χ4211-1-1111-111-1-1-1-111-111i−i−iiii−i−i−i−iii-1-1-111-1-111-1-1-11-1-11111-1-11-1-1−iii−i−i−iiiii−i−i111-1-1
χ4311-1-1111-111-1-1-1-111-111−iii−i−i−iiiii−i−i-1-1-111-1-111-1-1-11-1-11111-1-11-1-1i−i−iiii−i−i−i−iii111-1-1
χ4411-1-1111-111-1-1-1-111-111−ii−ii−i−iii−i−iii-111-1-1-1-111-1-1-11-1-11111-1-11-1-1i−ii−iii−i−iii−i−i1-1-111
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
χ4822-22-222-222-222-2-2-22000000000000000−i2i2i2−i2-2-22-22-2-22-2-22-2-2222-2000000000000000i2−i2−i2i2
χ4922-22-222-222-222-2-2-22000000000000000i2−i2−i2i2-2-22-22-2-22-2-22-2-2222-2000000000000000−i2i2i2−i2
χ5022-2-2222-222-2-2-2-222-2-2-200000000000020000-2-222-2-2-22-2-22222-2-2222000000000000-20000
χ51444441-211-21-2-2-21-21002200-1-1-1-1000000000-4-4-4-4-4-12-1-12-1222-12-100-2-2001111000000000
χ52444441-211-21-2-2-21-2100-2-2001111000000000-4-4-4-4-4-12-1-12-1222-12-1002200-1-1-1-1000000000
χ5344444-21-2-21-2111-21-20000220000-1-1-1-100000-4-4-4-4-42-122-12-1-1-12-120000-2-20000111100000
χ5444444-21-2-21-2111-21-20000-2-20000111100000-4-4-4-4-42-122-12-1-1-12-120000220000-1-1-1-100000
χ55444-4-41-211-2122-2-12-1000000−i3i3−i3i3000000000-4-4-444-12-1-12-1-2-221-21000000i3−i3i3−i3000000000
χ56444-4-41-211-2122-2-12-1000000i3−i3i3−i3000000000-4-4-444-12-1-12-1-2-221-21000000−i3i3−i3i3000000000
χ57444-4-4-21-2-21-2-1-112-1200000000003−33−300000-4-4-4442-122-1211-1-21-20000000000−33−3300000
χ58444-4-4-21-2-21-2-1-112-120000000000−33−3300000-4-4-4442-122-1211-1-21-200000000003−33−300000
χ5944-44-41-2-11-2-1-2-22-1210000003−3−33000000000-4-44-44-121-12122-21-2-1000000−333−3000000000
χ6044-44-41-2-11-2-1-2-22-121000000−333−3000000000-4-44-44-121-12122-21-2-10000003−3−33000000000
χ6144-44-4-212-21211-12-1-20000000000−i3i3i3−i300000-4-44-442-1-22-1-2-1-11-2120000000000i3−i3−i3i300000
χ6244-44-4-212-21211-12-1-20000000000i3−i3−i3i300000-4-44-442-1-22-1-2-1-11-2120000000000−i3i3i3−i300000
χ6344-4-441-2-11-2-12221-2-1002i−2i00−i−iii000000000-4-444-4-121-121-2-2-2-12100−2i2i00ii−i−i000000000
χ6444-4-441-2-11-2-12221-2-100−2i2i00ii−i−i000000000-4-444-4-121-121-2-2-2-121002i−2i00−i−iii000000000
χ6544-4-44-212-212-1-1-1-21200002i−2i0000−i−iii00000-4-444-42-1-22-1-21112-1-20000−2i2i0000ii−i−i00000
χ6644-4-44-212-212-1-1-1-2120000−2i2i0000ii−i−i00000-4-444-42-1-22-1-21112-1-200002i−2i0000−i−iii00000
χ674-4000440-4-40000000−2i22i200000000000000000-44000-4-404400000002i2−2i200000000000000000
χ684-4000440-4-400000002i2−2i200000000000000000-44000-4-40440000000−2i22i200000000000000000
χ698-80002-46-24-60000000000000000000000000-88000-24-62-460000000000000000000000000
χ708-80002-4-6-2460000000000000000000000000-88000-2462-4-60000000000000000000000000
χ718-8000-4204-206i−6i00000000000000000000000-880004-20-420−6i6i00000000000000000000000
χ728-8000-4204-20−6i6i00000000000000000000000-880004-20-4206i−6i00000000000000000000000

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