Finite Group Databasebeta

← Group #11781674

Character table — Group #11781674

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222222244444444444444444888888888888888888888888242424242424242424242424363636364848484848487272
order12223344446666663466612121212121212121212121244121212121212121212121212121212121212121212128888242424242424242488882466121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111
χ7111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111
χ8111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ92222222-22-22222222-2222-2-222-2-2-2-2-2-2222-2-2-22222-2-2-2-222-2-22222-2-2-2-2000000000000000000000000
χ102222222-22-22222222-2222-2-222-2-2-2-2-2-222-22-2-2-2-2-2-2222222-2-2-2-2-2-22222000000000000000000000000
χ11222222-22-222222222-222222-2-2222222-2-200-2-200000000-2-2-2-20000000000000000000022-2-200000000
χ12222222-22-222222222-222222-2-2222222-2-200-2-200000000-2-2-2-200000000000000000000-2-22200000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-2220000000000000000000000000000002i−2i
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-222000000000000000000000000000000−2i2i
χ1522222-12222-122-1-12-12-1-1-1-1-12-122-1-1-1-12-1222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-10000000020-1-10000
χ1622222-12222-122-1-12-12-1-1-1-1-12-122-1-1-1-12-1222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200111100000000-20110000
χ1722222-12222-122-1-12-12-1-1-1-1-12-122-1-1-1-12-1-2-22-1-2-211-2-211-1-1-1-1111111112200-1-1-1-100000000-20110000
χ1822222-12222-122-1-12-12-1-1-1-1-12-122-1-1-1-12-1-2-22-1-2-211-2-211-1-1-1-111111111-2-20011110000000020-1-10000
χ1922222-12-22-2-122-1-12-1-2-1-1-1112-1-2-211112-12-2-2122-1-1-2-211-1-111-1-1-1-111110000−i3−i3i3i30000000000−i3i30000
χ2022222-12-22-2-122-1-12-1-2-1-1-1112-1-2-211112-12-2-2122-1-1-2-211-1-111-1-1-1-111110000i3i3−i3−i30000000000i3−i30000
χ2122222-12-22-2-122-1-12-1-2-1-1-1112-1-2-211112-1-22-21-2-21122-1-1-1-1111111-1-1-1-10000−i3−i3i3i30000000000i3−i30000
χ2222222-12-22-2-122-1-12-1-2-1-1-1112-1-2-211112-1-22-21-2-21122-1-1-1-1111111-1-1-1-10000i3i3−i3−i30000000000−i3i30000
χ232222-1222222-1-122-1-12-1-1-122-12-1-1-1-1-1-1-1222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100220000-1-1-1-100000200-1-100
χ242222-1222222-1-122-1-12-1-1-122-12-1-1-1-1-1-1-1222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111100000-2001100
χ252222-1222222-1-122-1-12-1-1-122-12-1-1-1-1-1-1-12-2-2-1211-2-211-2-2-1-1-1-11111111100220000-1-1-1-100000-2001100
χ262222-1222222-1-122-1-12-1-1-122-12-1-1-1-1-1-1-12-2-2-1211-2-211-2-2-1-1-1-11111111100-2-20000111100000200-1-100
χ272222-122-22-22-1-122-1-1-2-1-1-1-2-2-12111111-122-21-2-1-12211-2-2-1-111-1-1-1-1111100000000−i3−i3i3i300000000−i3i300
χ282222-122-22-22-1-122-1-1-2-1-1-1-2-2-12111111-122-21-2-1-12211-2-2-1-111-1-1-1-1111100000000i3i3−i3−i300000000i3−i300
χ292222-122-22-22-1-122-1-1-2-1-1-1-2-2-12111111-12-221-211-2-2-1-122-1-1111111-1-1-1-100000000−i3−i3i3i300000000i3−i300
χ302222-122-22-22-1-122-1-1-2-1-1-1-2-2-12111111-12-221-211-2-2-1-122-1-1111111-1-1-1-100000000i3i3−i3−i300000000−i3i300
χ312-2-2222020-22-2-2-2-22202-2-22-2002-222-2-200000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-20000000000
χ322-2-2222020-22-2-2-2-22202-2-22-2002-222-2-200000000000000000000000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2-220000000000
χ332-2-2222020-22-2-2-2-22202-2-22-2002-222-2-200000000000000000000000000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2-220000000000
χ342-2-2222020-22-2-2-2-22202-2-22-2002-222-2-200000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-20000000000
χ3544444-2-44-44-244-2-24-2-4-2-2-2-2-2-4244-2-2-2-2-4200-4200000000222200000000000000000000000000000000
χ3644444-2-4-4-4-4-244-2-24-24-2-2-222-42-4-42222-42004-20000000022-2-200000000000000000000000000000000
χ374444-24-44-444-2-244-2-2-4-2-2-2442-4-2-2-2-2-2-22-4002-400000000222200000000000000000000000000000000
χ384444-24-4-4-4-44-2-244-2-24-2-2-2-4-42-42222222-400-240000000022-2-200000000000000000000000000000000
χ394444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-244-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000
χ404444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-2-4-4-2-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000
χ414444-2-24-44-4-2-2-2-2-2-21-411122-2-222-1-1-1-1-2-24-422-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000
χ424444-2-24-44-4-2-2-2-2-2-21-411122-2-222-1-1-1-1-2-2-44222222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000
χ434444-2-2-44-44-2-2-2-2-2-21-4111-2-222-2-2111122002200000000-1-1-1-133-3-333-3-3000000000000000000000000
χ444444-2-2-44-44-2-2-2-2-2-21-4111-2-222-2-2111122002200000000-1-1-1-1-3-333-3-333000000000000000000000000
χ454444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-12200-2-200000000-1-11133-3-3-3-333000000000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-12200-2-200000000-1-111-3-33333-3-3000000000000000000000000
χ4744-4-4440000-44-44-4-440-44-400000000000000000000000000000000000000000000000000−2i22i200000000
χ4844-4-4440000-44-44-4-440-44-4000000000000000000000000000000000000000000000000002i2−2i200000000
χ494-44-44440-40-4-44-44-440-4-440044000000-4-40000000000004-40000000000000000000000000000000000
χ504-44-444-4040-4-44-44-440-4-4400-4-400000044000000000000-440000000000000000000000000000000000
χ514-44-44-240-402-442-2-4-2022-2004-2000000-4200000023−230000-220023−2323−230000000000000000000000000000
χ524-44-44-240-402-442-2-4-2022-2004-2000000-42000000−23230000-2200−2323−23230000000000000000000000000000
χ534-44-44-2-40402-442-2-4-2022-200-420000004-20000000000−2i32i32-2000000−2i32i3−2i32i3000000000000000000000000
χ544-44-44-2-40402-442-2-4-2022-200-420000004-200000000002i3−2i32-20000002i3−2i32i3−2i3000000000000000000000000
χ554-44-4-2440-40-42-2-442-2022-200-240000002-400000000−2i32i300-22000000−2i32i32i3−2i3000000000000000000000000
χ564-44-4-2440-40-42-2-442-2022-200-240000002-4000000002i3−2i300-220000002i3−2i3−2i32i3000000000000000000000000
χ574-44-4-24-4040-42-2-442-2022-2002-4000000-24000023−230000002-20023−23−23230000000000000000000000000000
χ584-44-4-24-4040-42-2-442-2022-2002-4000000-240000−23230000002-200−232323−230000000000000000000000000000
χ594-44-4-2-240-4022-22-2210-1-1100-2-2003i−3i3i−3i2200000023−23−2i32i3001-13i−3i−33−33i3−i3−i3i3000000000000000000000000
χ604-44-4-2-240-4022-22-2210-1-1100-2-2003i−3i3i−3i22000000−23232i3−2i3001-13i−3i3−33−3−i3i3i3−i3000000000000000000000000
χ614-44-4-2-240-4022-22-2210-1-1100-2-200−3i3i−3i3i2200000023−232i3−2i3001-1−3i3i−33−33−i3i3i3−i3000000000000000000000000
χ624-44-4-2-240-4022-22-2210-1-1100-2-200−3i3i−3i3i22000000−2323−2i32i3001-1−3i3i3−33−3i3−i3−i3i3000000000000000000000000
χ634-44-4-2-2-404022-22-2210-1-110022003i−3i3i−3i-2-2000023−230000−2i32i3-11−3i3i−333−3i3−i3i3−i3000000000000000000000000
χ644-44-4-2-2-404022-22-2210-1-110022003i−3i3i−3i-2-20000−232300002i3−2i3-11−3i3i3−3−33−i3i3−i3i3000000000000000000000000
χ654-44-4-2-2-404022-22-2210-1-11002200−3i3i−3i3i-2-2000023−2300002i3−2i3-113i−3i−333−3−i3i3−i3i3000000000000000000000000
χ664-44-4-2-2-404022-22-2210-1-11002200−3i3i−3i3i-2-20000−23230000−2i32i3-113i−3i3−3−33i3−i3i3−i3000000000000000000000000
χ674-4-44440-4044-4-4-4-44404-4-4-4400-44-4-44400000000000000000000000000000000000000000000000000
χ684-4-444-2040-4-2-4-4224-20-222-22004-4-2-22200000000000000000000000000−2i22i200i2−i2i2−i20000000000000000
χ694-4-444-2040-4-2-4-4224-20-222-22004-4-2-222000000000000000000000000002i2−2i200−i2i2−i2i20000000000000000
χ704-4-444-20-404-2-4-4224-20-2222-200-4422-2-20000000000000000000000000000006−6−660000000000000000
χ714-4-444-20-404-2-4-4224-20-2222-200-4422-2-2000000000000000000000000000000−666−60000000000000000
χ724-4-44-24040-4422-4-4-2-20-2224-400-22-2-2220000000000000000000000000000−2i22i20000i2−i2i2−i2000000000000
χ734-4-44-24040-4422-4-4-2-20-2224-400-22-2-22200000000000000000000000000002i2−2i20000−i2i2−i2i2000000000000
χ744-4-44-240-404422-4-4-2-20-222-44002-222-2-200000000000000000000000000000000006−6−66000000000000
χ754-4-44-240-404422-4-4-2-20-222-44002-222-2-20000000000000000000000000000000000−666−6000000000000
χ7688-8-88-4000048-8-44-8-404-44000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-480000-8-448-84-404-44000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400004-44-44420-22-20000006i−6i−6i6i00000000000000000000000000000000000000000000000000
χ7988-8-8-4-400004-44-44420-22-2000000−6i6i6i−6i00000000000000000000000000000000000000000000000000
χ808-8-88-4-4080-8-44444-4202-2-2-4400-4422-2-200000000000000000000000000000000000000000000000000
χ818-8-88-4-40-808-44444-4202-2-24-4004-4-2-22200000000000000000000000000000000000000000000000000

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