Finite Group Databasebeta

← Group #11922314

Character table — Group #11922314

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222446666888812121212121216161616161616161616242424242424242424242424363636363636484848487272
order122234466612122244366644661212366612121212121222666688242424242288881212121244
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
χ511111-1-1111-1-1-1-11111111-1-1-1111111-1-1-1-1-1-11-111-1-11-111-1-11-111-1-111-1-11-1
χ611111-1-1111-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-11-1-111-11-1-1111-1-1-11111-1-1-11
χ711111-1-1111-1-1-1-1111111-11-1-1111111-1-1-1-1-1-11-111-1-11-111-1-1-11-1-111-1-111-11
χ811111-1-1111-1-1-1-1111111-11-1-1111111-1-1-1-1-1-1-11-1-111-11-1-111-1111-1-1-1-1111-1
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
χ1122222-2-2222-2-2-2-222-1-1-1-12-2-2-222-1-1-1-11111110000000000002-20000-1-11100
χ1222222-2-2222-2-2-2-222-1-1-1-1-22-2-222-1-1-1-1111111000000000000-22000011-1-100
χ132222-122-1-1-1-1-12222222200-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000
χ142222-122-1-1-1-1-12222222200-1-1-1-1-1-1-1-122-1-1-1-1-2-21111-2-21111000000000000
χ152222-1-2-2-1-1-111-2-22222220011-1-1-1-1-1-1-2-211112-2-1-1112-2-1-111000000000000
χ162222-1-2-2-1-1-111-2-22222220011-1-1-1-1-1-1-2-21111-2211-1-1-2211-1-1000000000000
χ1722-2-222-2-2-222-22-22-22-2-22002-2-222-2-222-222-2-2000000000000000000000000
χ1822-2-222-2-2-222-22-22-2-111-1002-2-22-111-1-11-1-111000000000000000000−i3i3−i3i300
χ1922-2-222-2-2-222-22-22-2-111-1002-2-22-111-1-11-1-111000000000000000000i3−i3i3−i300
χ2022-2-22-22-2-22-22-222-22-2-2200-22-222-2-22-22-2-222000000000000000000000000
χ2122-2-22-22-2-22-22-222-2-111-100-22-22-111-11-111-1-1000000000000000000−i3i3i3−i300
χ2222-2-22-22-2-22-22-222-2-111-100-22-22-111-11-111-1-1000000000000000000i3−i3−i3i300
χ2322-2-2-12-211-1-112-22-22-2-2200-111-1-111-12-2-1-11100−i3i3−i3i300−i3i3−i3i3000000000000
χ2422-2-2-12-211-1-112-22-22-2-2200-111-1-111-12-2-1-11100i3−i3i3−i300i3−i3i3−i3000000000000
χ2522-2-2-1-2211-11-1-222-22-2-22001-11-1-111-1-2211-1-100−i3i3i3−i300−i3i3i3−i3000000000000
χ2622-2-2-1-2211-11-1-222-22-2-22001-11-1-111-1-2211-1-100i3−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
χ3133333-3-3333-3-311-1-100003-311-1-100000000001-111-1-1-11-1-111-11-1-11100001-1
χ3233333-3-3333-3-311-1-100003-311-1-10000000000-11-1-1111-111-1-1-1111-1-10000-11
χ3333333-3-3333-3-311-1-10000-3311-1-100000000001-111-1-1-11-1-1111-111-1-10000-11
χ3433333-3-3333-3-311-1-10000-3311-1-10000000000-11-1-1111-111-1-11-1-1-11100001-1
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
χ3744-4-4-24-422-2-224-44-4-222-200-222-21-1-11-2211-1-1000000000000000000000000
χ3844-4-4-2-4422-22-2-444-4-222-2002-22-21-1-112-2-1-111000000000000000000000000
χ394-44-44004-4-4000000-22-22000000-22-22000000000000000000000022−22000000
χ404-44-44004-4-4000000-22-22000000-22-220000000000000000000000−2222000000
χ414-4-44400-44-4000000-2-222000000-2-2220000000000000000000022−2200000000
χ424-4-44400-44-4000000-2-222000000-2-22200000000000000000000−222200000000
χ436666-366-3-3-3-3-3-2-2-2-20000001111000000000022-1-1-1-1-2-21111000000000000
χ446666-366-3-3-3-3-3-2-2-2-200000011110000000000-2-2111122-1-1-1-1000000000000
χ456666-3-6-6-3-3-33322-2-2000000-1-11100000000002-2-1-111-2211-1-1000000000000
χ466666-3-6-6-3-3-33322-2-2000000-1-1110000000000-2211-1-12-2-1-111000000000000
χ4766-6-666-6-6-666-6-22-22000000-222-20000000000000000000000000000000000
χ4866-6-66-66-6-66-662-2-220000002-22-20000000000000000000000000000000000
χ4966-6-6-36-633-3-33-22-220000001-1-11000000000000−i3i3−i3i300i3−i3i3−i3000000000000
χ5066-6-6-36-633-3-33-22-220000001-1-11000000000000i3−i3i3−i300−i3i3−i3i3000000000000
χ5166-6-6-3-6633-33-32-2-22000000-11-11000000000000−i3i3i3−i300i3−i3−i3i3000000000000
χ5266-6-6-3-6633-33-32-2-22000000-11-11000000000000i3−i3−i3i300−i3i3i3−i3000000000000
χ538-88-88008-8-80000002-22-20000002-22-2000000000000000000000000000000
χ548-88-8-400-4440000002-22-2000000-11-11003i−3i3i−3i000000000000000000000000
χ558-88-8-400-4440000002-22-2000000-11-1100−3i3i−3i3i000000000000000000000000
χ568-88-8-400-444000000-44-440000002-22-2000000000000000000000000000000
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).