Finite Group Databasebeta

← Group #11921007

Character table — Group #11921007

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222223333444444446666668888888888881212121212121212161616161616161616161616161616161616363636363636363672727272
order122234466622224412121212121244666633366666666644121212121212121212121212121212121212121212121212888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-11-11-11-111-1-1i−i1-1ii−i−i-1111-1-1111-1-1-1111-1-1-1i−i1-1ii−i−i111-1-1-1iiiiii−i−i−i−i−i−i11-1-111-1-1i−ii−i
χ611-1-11-11-11-111-1-1i−i1-1ii−i−i-1111-1-1111-1-1-1111-1-1-1i−i1-1ii−i−i111-1-1-1iiiiii−i−i−i−i−i−i-1-111-1-111−ii−ii
χ711-1-11-11-11-111-1-1−ii1-1−i−iii-1111-1-1111-1-1-1111-1-1-1−ii1-1−i−iii111-1-1-1−i−i−i−i−i−iiiiiii11-1-111-1-1−ii−ii
χ811-1-11-11-11-111-1-1−ii1-1−i−iii-1111-1-1111-1-1-1111-1-1-1−ii1-1−i−iii111-1-1-1−i−i−i−i−i−iiiiiii-1-111-1-111i−ii−i
χ92222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1022222222222222-2-222-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-1-1-1111111111111000000000000
χ1122222-2-2222222200-2-20000-2-2222222222222222200-2-20000-2-2-2-2-2-2000000000000000000000000
χ1222222-2-2222222200-2-20000-2-22222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111111−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3000000000000
χ1322222-2-2222222200-2-20000-2-22222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111111i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3000000000000
χ142222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-12-1-12-1-12-1-12-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-1000000000000
χ152222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1-12-1-12-1-12-1-12-122-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1000000000000
χ162222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-12-1-12-1-1222-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12000000000000
χ172222-122-1-1-12222-2-2-1-1111122-1-1-1-12-1-12-1-12-1-12-1-1-2-2-1-111112-1-12-1-1-211-211-211-211000000000000
χ182222-122-1-1-12222-2-2-1-1111122-1-1-1-1-12-1-12-1-12-1-12-1-2-2-1-11111-12-1-12-11-211-211-211-21000000000000
χ192222-122-1-1-12222-2-2-1-1111122-1-1-1-1-1-12-1-12-1-12-1-12-2-2-1-11111-1-12-1-1211-211-211-211-2000000000000
χ202222-1-2-2-1-1-122220011−i3i3−i3i3-2-2-1-1-1-12-1-12-1-12-1-12-1-10011−i3i3−i3i3-211-2110−i3i30i3−i30−i3i30i3−i3000000000000
χ212222-1-2-2-1-1-122220011−i3i3−i3i3-2-2-1-1-1-1-12-1-12-1-12-1-12-10011−i3i3−i3i31-211-21i30−i3−i30i3i30−i3−i30i3000000000000
χ222222-1-2-2-1-1-122220011−i3i3−i3i3-2-2-1-1-1-1-1-12-1-12-1-12-1-120011−i3i3−i3i311-211-2−i3i30i3−i30−i3i30i3−i30000000000000
χ232222-1-2-2-1-1-122220011i3−i3i3−i3-2-2-1-1-1-12-1-12-1-12-1-12-1-10011i3−i3i3−i3-211-2110i3−i30−i3i30i3−i30−i3i3000000000000
χ242222-1-2-2-1-1-122220011i3−i3i3−i3-2-2-1-1-1-1-12-1-12-1-12-1-12-10011i3−i3i3−i31-211-21−i30i3i30−i3−i30i3i30−i3000000000000
χ252222-1-2-2-1-1-122220011i3−i3i3−i3-2-2-1-1-1-1-1-12-1-12-1-12-1-120011i3−i3i3−i311-211-2i3−i30−i3i30i3−i30−i3i30000000000000
χ2622-2-222-2-22-222-2-200-2200002-222-2-2222-2-2-2222-2-2-200-220000-2-2-2222000000000000000000000000
χ2722-2-222-2-22-222-2-200-2200002-222-2-2-1-1-1111-1-1-111100-220000111-1-1-1333−3−3−3−3−3−3333000000000000
χ2822-2-222-2-22-222-2-200-2200002-222-2-2-1-1-1111-1-1-111100-220000111-1-1-1−3−3−3333333−3−3−3000000000000
χ2922-2-22-22-22-222-2-22i−2i2-22i2i−2i−2i-2222-2-2-1-1-1111-1-1-11112i−2i2-22i2i−2i−2i-1-1-1111−i−i−i−i−i−iiiiiii000000000000
χ3022-2-22-22-22-222-2-2−2i2i2-2−2i−2i2i2i-2222-2-2-1-1-1111-1-1-1111−2i2i2-2−2i−2i2i2i-1-1-1111iiiiii−i−i−i−i−i−i000000000000
χ3122-2-2-12-21-1122-2-2001-13−3−332-2-1-1112-1-1-2112-1-1-211001-13−3−33-2112-1-103−30−330−3303−3000000000000
χ3222-2-2-12-21-1122-2-2001-13−3−332-2-1-111-12-11-21-12-11-21001-13−3−331-21-12-1−30330−330−3−303000000000000
χ3322-2-2-12-21-1122-2-2001-13−3−332-2-1-111-1-1211-2-1-1211-2001-13−3−3311-2-1-123−30−330−3303−30000000000000
χ3422-2-2-12-21-1122-2-2001-1−333−32-2-1-1112-1-1-2112-1-1-211001-1−333−3-2112-1-10−3303−303−30−33000000000000
χ3522-2-2-12-21-1122-2-2001-1−333−32-2-1-111-12-11-21-12-11-21001-1−333−31-21-12-130−3−303−30330−3000000000000
χ3622-2-2-12-21-1122-2-2001-1−333−32-2-1-111-1-1211-2-1-1211-2001-1−333−311-2-1-12−3303−303−30−330000000000000
χ3722-2-2-1-221-1122-2-22i−2i-11−i−iii-22-1-1112-1-1-2112-1-1-2112i−2i-11−i−iii2-1-1-2112i−i−i2i−i−i−2iii−2iii000000000000
χ3822-2-2-1-221-1122-2-22i−2i-11−i−iii-22-1-111-12-11-21-12-11-212i−2i-11−i−iii-12-11-21−i2i−i−i2i−ii−2iii−2ii000000000000
χ3922-2-2-1-221-1122-2-22i−2i-11−i−iii-22-1-111-1-1211-2-1-1211-22i−2i-11−i−iii-1-1211-2−i−i2i−i−i2iii−2iii−2i000000000000
χ4022-2-2-1-221-1122-2-2−2i2i-11ii−i−i-22-1-1112-1-1-2112-1-1-211−2i2i-11ii−i−i2-1-1-211−2iii−2iii2i−i−i2i−i−i000000000000
χ4122-2-2-1-221-1122-2-2−2i2i-11ii−i−i-22-1-111-12-11-21-12-11-21−2i2i-11ii−i−i-12-11-21i−2iii−2ii−i2i−i−i2i−i000000000000
χ4222-2-2-1-221-1122-2-2−2i2i-11ii−i−i-22-1-111-1-1211-2-1-1211-2−2i2i-11ii−i−i-1-1211-2ii−2iii−2i−i−i2i−i−i2i000000000000
χ432-22-2200-2-222-22-200000000002-22-2222-2-2-2-2-2-222200000000000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ442-22-2200-2-222-22-200000000002-22-2222-2-2-2-2-2-222200000000000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ452-2-222002-2-22-2-2200000000002-2-22222222-2-2-2-2-2-200000000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ462-2-222002-2-22-2-2200000000002-2-22222222-2-2-2-2-2-200000000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ473333333333-1-1-1-133333333-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-111-1-1
χ483333333333-1-1-1-133333333-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111-1-111
χ493333333333-1-1-1-1-3-333-3-3-3-3-1-1-1-1-1-100000000000011-1-111110000000000000000001111-1-1-1-1-1-111
χ503333333333-1-1-1-1-3-333-3-3-3-3-1-1-1-1-1-100000000000011-1-11111000000000000000000-1-1-1-1111111-1-1
χ5133-3-33-33-33-3-1-1113i−3i3-33i3i−3i−3i1-1-1-111000000000000−ii-11−i−iii00000000000000000011-1-1-1-111i−i−ii
χ5233-3-33-33-33-3-1-1113i−3i3-33i3i−3i−3i1-1-1-111000000000000−ii-11−i−iii000000000000000000-1-11111-1-1−iii−i
χ5333-3-33-33-33-3-1-111−3i3i3-3−3i−3i3i3i1-1-1-111000000000000i−i-11ii−i−i00000000000000000011-1-1-1-111−iii−i
χ5433-3-33-33-33-3-1-111−3i3i3-3−3i−3i3i3i1-1-1-111000000000000i−i-11ii−i−i000000000000000000-1-11111-1-1i−i−ii
χ554-44-4400-4-444-44-400000000004-44-4-2-2-2222222-2-2-200000000000000000000000000000000000000
χ564-44-4-20022-24-44-40000000000-22-224-2-2-422-4224-2-200000000000000000000000000000000000000
χ574-44-4-20022-24-44-40000000000-22-22-24-22-422-42-24-200000000000000000000000000000000000000
χ584-44-4-20022-24-44-40000000000-22-22-2-2422-422-4-2-2400000000000000000000000000000000000000
χ594-4-444004-4-44-4-4400000000004-4-44-2-2-2-2-2-222222200000000000000000000000000000000000000
χ604-4-44-200-2224-4-440000000000-222-24-2-24-2-2-422-42200000000000000000000000000000000000000
χ614-4-44-200-2224-4-440000000000-222-2-24-2-24-22-422-4200000000000000000000000000000000000000
χ624-4-44-200-2224-4-440000000000-222-2-2-24-2-2422-422-400000000000000000000000000000000000000
χ6366666-6-6666-2-2-2-200-6-6000022-2-2-2-200000000000000220000000000000000000000000000000000
χ646666-366-3-3-3-2-2-2-266-3-3-3-3-3-3-2-21111000000000000-2-2111111000000000000000000000000000000
χ656666-366-3-3-3-2-2-2-2-6-6-3-33333-2-211110000000000002211-1-1-1-1000000000000000000000000000000
χ666666-3-6-6-3-3-3-2-2-2-20033−3i33i3−3i33i322111100000000000000-1-1i3−i3i3−i3000000000000000000000000000000
χ676666-3-6-6-3-3-3-2-2-2-200333i3−3i33i3−3i322111100000000000000-1-1−i3i3−i3i3000000000000000000000000000000
χ6866-6-666-6-66-6-2-22200-660000-22-2-222000000000000002-20000000000000000000000000000000000
χ6966-6-6-36-63-33-2-222003-333−33−3333-2211-1-100000000000000-11−333−3000000000000000000000000000000
χ7066-6-6-36-63-33-2-222003-3−333333−33-2211-1-100000000000000-113−3−33000000000000000000000000000000
χ7166-6-6-3-663-33-2-2226i−6i-33−3i−3i3i3i2-211-1-1000000000000−2i2i1-1ii−i−i000000000000000000000000000000
χ7266-6-6-3-663-33-2-222−6i6i-333i3i−3i−3i2-211-1-10000000000002i−2i1-1−i−iii000000000000000000000000000000
χ736-66-6600-6-66-22-220000000000-22-2200000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ746-66-6600-6-66-22-220000000000-22-2200000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ756-6-666006-6-6-222-20000000000-222-200000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ766-6-666006-6-6-222-20000000000-222-200000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ7712-1212-12-60066-6-44-4400000000002-22-200000000000000000000000000000000000000000000000000
χ7812-12-1212-600-666-444-400000000002-2-2200000000000000000000000000000000000000000000000000

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