Finite Group Databasebeta

← Group #11882275

Character table — Group #11882275

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444888888888888888888888888121212121212121218181818181824242424242424242424242436484848487272
order12223344446666663466612121212121212121212121244121212121212121212121212121212121212121212128888888822444422442424242424242424466121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ5111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-111
χ8111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1
χ9111111-1-1111111111-1111-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1111-11-111-1-111-1-1-11-11-11-1
χ10111111-1-1111111111-1111-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-11-1-1111-1-1-1-11111-1-11-11
χ11111111-1-1111111111-1111-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-111-1-11
χ12111111-1-1111111111-1111-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-11-11-1-111-1-111-1-11-111-1
χ13111111-1-1111111111-1111-1-111-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-111-1-111-11-1111-1-111-1-1-1-11-11-11
χ14111111-1-1111111111-1111-1-111-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-111-111-1-1-1-1111-111-11-1
χ15111111-1-1111111111-1111-1-111-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11-1-11-1-11111-1-111-1-111-1
χ16111111-1-1111111111-1111-1-111-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11111-1-1111-11-1-1-111-1-111-11-11-1-11
χ1722222222-2-22222222-222222-2-2222222-2-200-2-200000000-2-2-2-200000000000000002222-2-2000000000000-2000000
χ1822222222-2-22222222-222222-2-2222222-2-200-2-200000000-2-2-2-20000000000000000-2-2-2-2220000000000002000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-222000000000000000022-2-2-2-20000000000002000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-2220000000000000000-2-22222000000000000-2000000
χ2122222-12222-122-1-12-12-1-1-1-1-12-122-1-1-1-12-1222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000002200-1-1-1-100000-1-10000
χ2222222-12222-122-1-12-12-1-1-1-1-12-122-1-1-1-12-1222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-200111100000110000
χ2322222-12222-122-1-12-12-1-1-1-1-12-122-1-1-1-12-1-2-22-1-2-211-2-211-1-1-1-11111111122220000000000-2-200-1-1-1-100000110000
χ2422222-12222-122-1-12-12-1-1-1-1-12-122-1-1-1-12-1-2-22-1-2-211-2-211-1-1-1-111111111-2-2-2-200000000002200111100000-1-10000
χ2522222-1-2-222-122-1-12-1-2-1-1-1112-1-2-211112-12-2-2122-1-1-2-211-1-111-1-1-1-1111122-2-200000000002-200-1-11100000-110000
χ2622222-1-2-222-122-1-12-1-2-1-1-1112-1-2-211112-12-2-2122-1-1-2-211-1-111-1-1-1-11111-2-2220000000000-220011-1-1000001-10000
χ2722222-1-2-222-122-1-12-1-2-1-1-1112-1-2-211112-1-22-21-2-21122-1-1-1-1111111-1-1-1-122-2-20000000000-2200-1-111000001-10000
χ2822222-1-2-222-122-1-12-1-2-1-1-1112-1-2-211112-1-22-21-2-21122-1-1-1-1111111-1-1-1-1-2-22200000000002-20011-1-100000-110000
χ292222-1222222-1-122-1-12-1-1-122-12-1-1-1-1-1-1-1222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000220000-1-1-1-1000-1-100
χ302222-1222222-1-122-1-12-1-1-122-12-1-1-1-1-1-1-1222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-2000011110001100
χ312222-1222222-1-122-1-12-1-1-122-12-1-1-1-1-1-1-12-2-2-1211-2-211-2-2-1-1-1-1111111110000222200000000-2-20000-1-1-1-10001100
χ322222-1222222-1-122-1-12-1-1-122-12-1-1-1-1-1-1-12-2-2-1211-2-211-2-2-1-1-1-1111111110000-2-2-2-2000000002200001111000-1-100
χ332222-12-2-2222-1-122-1-1-2-1-1-1-2-2-12111111-122-21-2-1-12211-2-2-1-111-1-1-1-11111000022-2-2000000002-20000-1-111000-1100
χ342222-12-2-2222-1-122-1-1-2-1-1-1-2-2-12111111-122-21-2-1-12211-2-2-1-111-1-1-1-111110000-2-22200000000-22000011-1-10001-100
χ352222-12-2-2222-1-122-1-1-2-1-1-1-2-2-12111111-12-221-211-2-2-1-122-1-1111111-1-1-1-1000022-2-200000000-220000-1-1110001-100
χ362222-12-2-2222-1-122-1-1-2-1-1-1-2-2-12111111-12-221-211-2-2-1-122-1-1111111-1-1-1-10000-2-222000000002-2000011-1-1000-1100
χ3722-2-2222-2002-2-2-2-22202-2-22-2002-222-2-200000000000000000000000000−i2i2−i2i2−i2i2−i2i22-22-2000000−i2i2−i2i2−i2i2−i2i20000000
χ3822-2-2222-2002-2-2-2-22202-2-22-2002-222-2-200000000000000000000000000−i2i2−i2i2i2−i2i2−i2-22-22000000−i2i2−i2i2i2−i2i2−i20000000
χ3922-2-2222-2002-2-2-2-22202-2-22-2002-222-2-200000000000000000000000000i2−i2i2−i2−i2i2−i2i2-22-22000000i2−i2i2−i2−i2i2−i2i20000000
χ4022-2-2222-2002-2-2-2-22202-2-22-2002-222-2-200000000000000000000000000i2−i2i2−i2i2−i2i2−i22-22-2000000i2−i2i2−i2i2−i2i2−i20000000
χ4122-2-222-22002-2-2-2-22202-2-2-2200-22-2-22200000000000000000000000000−i2i2i2−i2−i2i2i2−i22-2-22000000−i2i2i2−i2−i2i2i2−i20000000
χ4222-2-222-22002-2-2-2-22202-2-2-2200-22-2-22200000000000000000000000000−i2i2i2−i2i2−i2−i2i2-222-2000000−i2i2i2−i2i2−i2−i2i20000000
χ4322-2-222-22002-2-2-2-22202-2-2-2200-22-2-22200000000000000000000000000i2−i2−i2i2−i2i2i2−i2-222-2000000i2−i2−i2i2−i2i2i2−i20000000
χ4422-2-222-22002-2-2-2-22202-2-2-2200-22-2-22200000000000000000000000000i2−i2−i2i2i2−i2−i2i22-2-22000000i2−i2−i2i2i2−i2−i2i20000000
χ4544444-244-4-4-244-2-24-2-4-2-2-2-2-2-4244-2-2-2-2-4200-4200000000222200000000000000000000000000000000000000000
χ4644444-2-4-4-4-4-244-2-24-24-2-2-222-42-4-42222-42004-20000000022-2-200000000000000000000000000000000000000000
χ474444-2444-4-44-2-244-2-2-4-2-2-2442-4-2-2-2-2-2-22-4002-400000000222200000000000000000000000000000000000000000
χ484444-24-4-4-4-44-2-244-2-24-2-2-2-4-42-42222222-400-240000000022-2-200000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-244-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-2-4-4-2-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ514444-2-244-4-4-2-2-2-2-2-21-4111-2-222-2-2111122002200000000-1-1-1-133-3-333-3-3000000000000000000000000000000000
χ524444-2-244-4-4-2-2-2-2-2-21-4111-2-222-2-2111122002200000000-1-1-1-1-3-333-3-333000000000000000000000000000000000
χ534444-2-2-4-444-2-2-2-2-2-21-411122-2-222-1-1-1-1-2-24-422-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000000000000
χ544444-2-2-4-444-2-2-2-2-2-21-411122-2-222-1-1-1-1-2-2-44222222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-12200-2-200000000-1-11133-3-3-3-333000000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-12200-2-200000000-1-111-3-33333-3-3000000000000000000000000000000000
χ5744-4-44-24-400-2-4-4224-20-222-22004-4-2-22200000000000000000000000000−2i22i2−2i22i200000000000000i2−i2i2−i200000000000
χ5844-4-44-24-400-2-4-4224-20-222-22004-4-2-222000000000000000000000000002i2−2i22i2−2i200000000000000−i2i2−i2i200000000000
χ5944-4-44-2-4400-2-4-4224-20-2222-200-4422-2-200000000000000000000000000−2i22i22i2−2i200000000000000i2−i2−i2i200000000000
χ6044-4-44-2-4400-2-4-4224-20-2222-200-4422-2-2000000000000000000000000002i2−2i2−2i22i200000000000000−i2i2i2−i200000000000
χ6144-4-4-244-400422-4-4-2-20-2224-400-22-2-222000000000000000000000000000000−2i22i2−2i22i200000000000000i2−i2i2−i20000000
χ6244-4-4-244-400422-4-4-2-20-2224-400-22-2-2220000000000000000000000000000002i2−2i22i2−2i200000000000000−i2i2−i2i20000000
χ6344-4-4-24-4400422-4-4-2-20-222-44002-222-2-2000000000000000000000000000000−2i22i22i2−2i200000000000000i2−i2−i2i20000000
χ6444-4-4-24-4400422-4-4-2-20-222-44002-222-2-20000000000000000000000000000002i2−2i2−2i22i200000000000000−i2i2i2−i20000000
χ654-44-4440000-44-44-4-440-44-40000000000000000000000000000000000000000000000004i−4i0000000000000000000
χ664-44-4440000-44-44-4-440-44-4000000000000000000000000000000000000000000000000−4i4i0000000000000000000
χ674-4-4444004-4-4-44-44-440-4-440044000000-4-40000000000004-40000000000000000000000000000000000000000000
χ684-4-444400-44-4-44-44-440-4-4400-4-400000044000000000000-440000000000000000000000000000000000000000000
χ694-4-444-2004-42-442-2-4-2022-2004-2000000-4200000023−230000-220023−2323−230000000000000000000000000000000000000
χ704-4-444-2004-42-442-2-4-2022-2004-2000000-42000000−23230000-2200−2323−23230000000000000000000000000000000000000
χ714-4-444-200-442-442-2-4-2022-200-420000004-20000000000−2i32i32-2000000−2i32i3−2i32i3000000000000000000000000000000000
χ724-4-444-200-442-442-2-4-2022-200-420000004-200000000002i3−2i32-20000002i3−2i32i3−2i3000000000000000000000000000000000
χ734-4-44-24004-4-42-2-442-2022-200-240000002-400000000−2i32i300-22000000−2i32i32i3−2i3000000000000000000000000000000000
χ744-4-44-24004-4-42-2-442-2022-200-240000002-4000000002i3−2i300-220000002i3−2i3−2i32i3000000000000000000000000000000000
χ754-4-44-2400-44-42-2-442-2022-2002-4000000-24000023−230000002-20023−23−23230000000000000000000000000000000000000
χ764-4-44-2400-44-42-2-442-2022-2002-4000000-240000−23230000002-200−232323−230000000000000000000000000000000000000
χ774-4-44-2-2004-422-22-2210-1-1100-2-2003i−3i3i−3i2200000023−23−2i32i3001-13i−3i−33−33i3−i3−i3i3000000000000000000000000000000000
χ784-4-44-2-2004-422-22-2210-1-1100-2-2003i−3i3i−3i22000000−23232i3−2i3001-13i−3i3−33−3−i3i3i3−i3000000000000000000000000000000000
χ794-4-44-2-2004-422-22-2210-1-1100-2-200−3i3i−3i3i2200000023−232i3−2i3001-1−3i3i−33−33−i3i3i3−i3000000000000000000000000000000000
χ804-4-44-2-2004-422-22-2210-1-1100-2-200−3i3i−3i3i22000000−2323−2i32i3001-1−3i3i3−33−3i3−i3−i3i3000000000000000000000000000000000
χ814-4-44-2-200-4422-22-2210-1-110022003i−3i3i−3i-2-2000023−230000−2i32i3-11−3i3i−333−3i3−i3i3−i3000000000000000000000000000000000
χ824-4-44-2-200-4422-22-2210-1-110022003i−3i3i−3i-2-20000−232300002i3−2i3-11−3i3i3−3−33−i3i3−i3i3000000000000000000000000000000000
χ834-4-44-2-200-4422-22-2210-1-11002200−3i3i−3i3i-2-2000023−2300002i3−2i3-113i−3i−333−3−i3i3−i3i3000000000000000000000000000000000
χ844-4-44-2-200-4422-22-2210-1-11002200−3i3i−3i3i-2-20000−23230000−2i32i3-113i−3i3−3−33i3−i3i3−i3000000000000000000000000000000000
χ8588-8-8-4-48-800-44444-4202-2-2-4400-4422-2-200000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4-8800-44444-4202-2-24-4004-4-2-22200000000000000000000000000000000000000000000000000000000000
χ878-88-88-4000048-8-44-8-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-480000-8-448-84-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400004-44-44420-22-20000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400004-44-44420-22-2000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000

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