Finite Group Databasebeta

← Group #11920686

Character table — Group #11920686

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222446666888812121212121216161616161616161616242424242424242424242424363636363636484848487272
order1222344666121222443666446612123666121212121212448812121212242424244444441212121288
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ311111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511-1-11-11-11-11-1-111-11-11-1i−i1-11-11-1-111-111-1-1i−ii−iii−i−iii−i−ii−i11-1-1ii−i−i1-1
χ611-1-11-11-11-11-1-111-11-11-1i−i1-11-11-1-111-111-1-1−ii−ii−i−iii−i−iiii−i-1-111ii−i−i-11
χ711-1-11-11-11-11-1-111-11-11-1−ii1-11-11-1-111-111-1-1i−ii−iii−i−iii−i−i−ii-1-111−i−iii-11
χ811-1-11-11-11-11-1-111-11-11-1−ii1-11-11-1-111-111-1-1−ii−ii−i−iii−i−iii−ii11-1-1−i−iii1-1
χ92222222222222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1000000000000220000-1-1-1-100
χ102222222222222222-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1000000000000-2-20000111100
χ1122222-2-2222-2-2-2-222222200-2-2222222-2-2-2-2-2-2000000000000000000000000
χ1222222-2-2222-2-2-2-222-1-1-1-100-2-222-1-1-1-1111111000000000000000000−i3i3−i3i300
χ1322222-2-2222-2-2-2-222-1-1-1-100-2-222-1-1-1-1111111000000000000000000i3−i3i3−i300
χ142222-122-1-1-1-1-12222222200-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ152222-122-1-1-1-1-12222222200-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111000000000000
χ162222-1-2-2-1-1-111-2-22222220011-1-1-1-1-1-1-2-211110000−i3i3−i3i3−i3i3−i3i3000000000000
χ172222-1-2-2-1-1-111-2-22222220011-1-1-1-1-1-1-2-211110000i3−i3i3−i3i3−i3i3−i3000000000000
χ1822-2-222-2-22-2-222-22-22-22-200-222-22-2-22-22-2-222000000000000000000000000
χ1922-2-222-2-22-2-222-22-2-11-1100-222-2-111-11-111-1-10000000000000000003−3−3300
χ2022-2-222-2-22-2-222-22-2-11-1100-222-2-111-11-111-1-1000000000000000000−333−300
χ2122-2-22-22-22-22-2-222-2-11-112i−2i2-22-2-111-1-11-1-1110000000000002i−2i0000−i−iii00
χ2222-2-22-22-22-22-2-222-2-11-11−2i2i2-22-2-111-1-11-1-111000000000000−2i2i0000ii−i−i00
χ2322-2-2-12-21-111-12-22-22-22-2001-1-11-111-1-2211-1-100003−3−333−3−33000000000000
χ2422-2-2-12-21-111-12-22-22-22-2001-1-11-111-1-2211-1-10000−333−3−333−3000000000000
χ2522-2-2-1-221-11-11-222-22-22-200-11-11-111-12-2-1-1112i−2i2i−2i−i−iii−i−iii000000000000
χ2622-2-2-1-221-11-11-222-22-22-200-11-11-111-12-2-1-111−2i2i−2i2iii−i−iii−i−i000000000000
χ27333333333333-1-1-1-1000033-1-1-1-1000000000011-1-11111-1-1-1-1-1-1-1-1-1-1000011
χ28333333333333-1-1-1-1000033-1-1-1-10000000000-1-111-1-1-1-11111-1-111110000-1-1
χ29333333333333-1-1-1-10000-3-3-1-1-1-1000000000011-1-11111-1-1-1-11111110000-1-1
χ30333333333333-1-1-1-10000-3-3-1-1-1-10000000000-1-111-1-1-1-1111111-1-1-1-1000011
χ3133-3-33-33-33-33-31-1-1100003i−3i-11-110000000000i−i−iiii−i−i−i−iii−ii-1-11100001-1
χ3233-3-33-33-33-33-31-1-1100003i−3i-11-110000000000−iii−i−i−iiiii−i−i−ii11-1-10000-11
χ3333-3-33-33-33-33-31-1-110000−3i3i-11-110000000000i−i−iiii−i−i−i−iiii−i11-1-10000-11
χ3433-3-33-33-33-33-31-1-110000−3i3i-11-110000000000−iii−i−i−iiiii−i−ii−i-1-11100001-1
χ354444-244-2-2-2-2-24444-2-2-2-200-2-2-2-21111-2-21111000000000000000000000000
χ364444-2-4-4-2-2-222-4-444-2-2-2-20022-2-2111122-1-1-1-1000000000000000000000000
χ3744-4-4-24-42-222-24-44-4-22-22002-2-221-1-112-2-1-111000000000000000000000000
χ3844-4-4-2-442-22-22-444-4-22-2200-22-221-1-11-2211-1-1000000000000000000000000
χ394-44-44004-4-4000000-2-222000000-22-22000000000000000000002i−2i2i−2i000000
χ404-44-44004-4-4000000-2-222000000-22-2200000000000000000000−2i2i−2i2i000000
χ414-4-44400-4-44000000-222-2000000-2-222000000000000000000002i−2i−2i2i000000
χ424-4-44400-4-44000000-222-2000000-2-22200000000000000000000−2i2i2i−2i000000
χ4366666-6-6666-6-622-2-200000022-2-20000000000000000000000000000000000
χ446666-366-3-3-3-3-3-2-2-2-20000001111000000000022-2-2-1-1-1-11111000000000000
χ456666-366-3-3-3-3-3-2-2-2-200000011110000000000-2-2221111-1-1-1-1000000000000
χ466666-3-6-6-3-3-33322-2-2000000-1-11100000000000000−i3i3−i3i3i3−i3i3−i3000000000000
χ476666-3-6-6-3-3-33322-2-2000000-1-11100000000000000i3−i3i3−i3−i3i3−i3i3000000000000
χ4866-6-666-6-66-6-66-22-220000002-2-220000000000000000000000000000000000
χ4966-6-6-36-63-333-3-22-22000000-111-1000000000000003−3−33−333−3000000000000
χ5066-6-6-36-63-333-3-22-22000000-111-100000000000000−333−33−3−33000000000000
χ5166-6-6-3-663-33-332-2-220000001-11-100000000002i−2i−2i2i−i−iiiii−i−i000000000000
χ5266-6-6-3-663-33-332-2-220000001-11-10000000000−2i2i2i−2iii−i−i−i−iii000000000000
χ538-88-88008-8-800000022-2-20000002-22-2000000000000000000000000000000
χ548-88-8-400-44400000022-2-2000000-11-11003i−3i3i−3i000000000000000000000000
χ558-88-8-400-44400000022-2-2000000-11-1100−3i3i−3i3i000000000000000000000000
χ568-88-8-400-444000000-4-4440000002-22-2000000000000000000000000000000
χ578-8-88800-8-880000002-2-2200000022-2-2000000000000000000000000000000
χ588-8-88-40044-40000002-2-22000000-1-111003i−3i−3i3i000000000000000000000000
χ598-8-88-40044-40000002-2-22000000-1-11100−3i3i3i−3i000000000000000000000000
χ608-8-88-40044-4000000-444-400000022-2-2000000000000000000000000000000

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