Finite Group Databasebeta

← Group #11920690

Character table — Group #11920690

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222446666888812121212121216161616161616161616242424242424242424242424363636363636484848487272
order122234466612122244366644661212366612121212121222666688242424244444441212121288
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
χ511-1-111-1-1-111-11-1-111-11-1i−i1-1-111-1-111-111-1-11-111-1-11-111-1-1i−iii−i−iii−i−ii−i
χ611-1-111-1-1-111-11-1-111-11-1i−i1-1-111-1-111-111-1-1-11-1-111-11-1-111i−i−i−iiiii−i−i−ii
χ711-1-111-1-1-111-11-1-111-11-1−ii1-1-111-1-111-111-1-11-111-1-11-111-1-1−ii−i−iii−i−iii−ii
χ811-1-111-1-1-111-11-1-111-11-1−ii1-1-111-1-111-111-1-1-11-1-111-11-1-111−iiii−i−i−i−iiii−i
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
χ142222-122-1-1-1-1-12222222200-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000
χ152222-122-1-1-1-1-12222222200-1-1-1-1-1-1-1-122-1-1-1-1-2-21111-2-21111000000000000
χ162222-1-2-2-1-1-111-2-22222220011-1-1-1-1-1-1-2-2111100−i3i3−i3i300−i3i3−i3i3000000000000
χ172222-1-2-2-1-1-111-2-22222220011-1-1-1-1-1-1-2-2111100i3−i3i3−i300i3−i3i3−i3000000000000
χ1822-2-222-2-2-222-22-2-22-11-112i−2i2-2-22-111-1-11-1-1110000000000002i−2i0000−i−iii00
χ1922-2-222-2-2-222-22-2-22-11-11−2i2i2-2-22-111-1-11-1-111000000000000−2i2i0000ii−i−i00
χ2022-2-22-22-2-22-22-22-222-22-200-22-222-2-22-22-2-222000000000000000000000000
χ2122-2-22-22-2-22-22-22-22-11-1100-22-22-111-11-111-1-10000000000000000003−3−3300
χ2222-2-22-22-2-22-22-22-22-11-1100-22-22-111-11-111-1-1000000000000000000−333−300
χ2322-2-2-12-211-1-112-2-222-22-200-111-1-111-12-2-1-1112-2-1-1112-2-1-111000000000000
χ2422-2-2-12-211-1-112-2-222-22-200-111-1-111-12-2-1-111-2211-1-1-2211-1-1000000000000
χ2522-2-2-1-2211-11-1-22-222-22-2001-11-1-111-1-2211-1-100−i3i3i3−i300−i3i3i3−i3000000000000
χ2622-2-2-1-2211-11-1-22-222-22-2001-11-1-111-1-2211-1-100i3−i3−i3i300i3−i3−i3i3000000000000
χ27333333333333-1-1-1-1000033-1-1-1-10000000000111111-1-1-1-1-1-1-1-1-1-1-1-1000011
χ28333333333333-1-1-1-1000033-1-1-1-10000000000-1-1-1-1-1-1111111-1-111110000-1-1
χ29333333333333-1-1-1-10000-3-3-1-1-1-10000000000111111-1-1-1-1-1-11111110000-1-1
χ30333333333333-1-1-1-10000-3-3-1-1-1-10000000000-1-1-1-1-1-111111111-1-1-1-1000011
χ3133-3-333-3-3-333-3-111-100003i−3i-111-100000000001-111-1-1-11-1-111−ii−i−iii0000i−i
χ3233-3-333-3-3-333-3-111-100003i−3i-111-10000000000-11-1-1111-111-1-1−iiii−i−i0000−ii
χ3333-3-333-3-3-333-3-111-10000−3i3i-111-100000000001-111-1-1-11-1-111i−iii−i−i0000−ii
χ3433-3-333-3-3-333-3-111-10000−3i3i-111-10000000000-11-1-1111-111-1-1i−i−i−iii0000i−i
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
χ3744-4-4-24-422-2-224-4-44-22-2200-222-21-1-11-2211-1-1000000000000000000000000
χ3844-4-4-2-4422-22-2-44-44-22-22002-22-21-1-112-2-1-111000000000000000000000000
χ394-44-44004-4-4000000-222-2000000-22-22000000000000000000002i−2i2i−2i000000
χ404-44-44004-4-4000000-222-2000000-22-2200000000000000000000−2i2i−2i2i000000
χ414-4-44400-44-4000000-2-222000000-2-222000000000000000000002-2-22000000
χ424-4-44400-44-4000000-2-222000000-2-22200000000000000000000-222-2000000
χ4366666-6-6666-6-622-2-200000022-2-20000000000000000000000000000000000
χ446666-366-3-3-3-3-3-2-2-2-20000001111000000000022-1-1-1-1-2-21111000000000000
χ456666-366-3-3-3-3-3-2-2-2-200000011110000000000-2-2111122-1-1-1-1000000000000
χ466666-3-6-6-3-3-33322-2-2000000-1-111000000000000−i3i3−i3i300i3−i3i3−i3000000000000
χ476666-3-6-6-3-3-33322-2-2000000-1-111000000000000i3−i3i3−i300−i3i3−i3i3000000000000
χ4866-6-66-66-6-66-662-22-20000002-22-20000000000000000000000000000000000
χ4966-6-6-36-633-3-33-222-20000001-1-1100000000002-2-1-111-2211-1-1000000000000
χ5066-6-6-36-633-3-33-222-20000001-1-110000000000-2211-1-12-2-1-111000000000000
χ5166-6-6-3-6633-33-32-22-2000000-11-11000000000000−i3i3i3−i300i3−i3−i3i3000000000000
χ5266-6-6-3-6633-33-32-22-2000000-11-11000000000000i3−i3−i3i300−i3i3i3−i3000000000000
χ538-88-88008-8-80000002-2-220000002-22-2000000000000000000000000000000
χ548-88-8-400-4440000002-2-22000000-11-11003i−3i3i−3i000000000000000000000000
χ558-88-8-400-4440000002-2-22000000-11-1100−3i3i−3i3i000000000000000000000000
χ568-88-8-400-444000000-444-40000002-22-2000000000000000000000000000000
χ578-8-88800-88-800000022-2-200000022-2-2000000000000000000000000000000
χ588-8-88-4004-4400000022-2-2000000-1-111003i−3i−3i3i000000000000000000000000
χ598-8-88-4004-4400000022-2-2000000-1-11100−3i3i3i−3i000000000000000000000000
χ608-8-88-4004-44000000-4-44400000022-2-2000000000000000000000000000000

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