Finite Group Databasebeta

← Group #11872366

Character table — Group #11872366

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121218181818242424242424242424242424242436363636363648484848
order12223344666666344444466612121212121212121212121212121212121212121212121212121212121212121212888844442244882424242424242424222444661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ511111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-11-1-1-111-1-111-1-1-1-1-1-1111-11-1
χ611111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1-11-1111-1-1-1-1111111-1-11-1-11
χ711111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-1-11111-1-11111-1-1-111-1
χ811111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-111-1-1-1-111-11-11
χ9111111111111111-1-111-1-1111111111111111-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111111111111-1-11-1-1-1-1-1-1
χ10111111111111111-1-111-1-1111111111111111-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-111-111-1-111
χ11111111111111111-1-111-1-1111111111111111-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1-1-11111-111-11111-1-1
χ12111111111111111-1-111-1-1111111111111111-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111
χ13111111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-1111111111111-11-11-1-111-1-111-1-1-111-1-1-1-11-11
χ14111111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1111-1-1-1-1111-1-1111-111-1
χ15111111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-11111-1-111-1-1-1-11-1-111-1-1-11111-1-11-1-11111-1-11
χ16111111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-111-111-1-1-11-11-1
χ17222222-2-22222222002-20022222-2-2222222-2-20000-200-200-2-20000-2-20000000022-2-200000000000000-2002000000
χ18222222-2-22222222002-20022222-2-2222222-2-20000-200-200-2-20000-2-200000000-2-22200000000000000200-2000000
χ19222222-2-2222222200-2200222-2-2-2-2-2-2-2-2-2-2-2-20000200200-2-20000220000000022-2-200000000000000200-2000000
χ20222222-2-2222222200-2200222-2-2-2-2-2-2-2-2-2-2-2-20000200200-2-200002200000000-2-22200000000000000-2002000000
χ2122222-122-12-1-122-1222222-1-1-1-1-12-122-1-1-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122000000220020-1-1-1-10000000000-1-100
χ2222222-122-12-1-122-1222222-1-1-1-1-12-122-1-1-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-200-20111100000000001100
χ2322222-122-12-1-122-122-2-2-2-2-1-1-1112-1-2-211112-122-1-1111-2-2-2-1-1-1-1-1-1111111220000002-200-20-1-1110000000000-1100
χ2422222-122-12-1-122-122-2-2-2-2-1-1-1112-1-2-211112-122-1-1111-2-2-2-1-1-1-1-1-1111111-2-2000000-22002011-1-100000000001-100
χ2522222-122-12-1-122-1-2-222-2-2-1-1-1-1-12-122-1-1-1-12-1-2-211-1112-2-2-1-11111-1-1111122000000-2-20020-1-1-1-100000000001100
χ2622222-122-12-1-122-1-2-222-2-2-1-1-1-1-12-122-1-1-1-12-1-2-211-1112-2-2-1-11111-1-11111-2-20000002200-2011110000000000-1-100
χ2722222-122-12-1-122-1-2-2-2-222-1-1-1112-1-2-211112-1-2-2111-1-1-222-1-1111111-1-1-1-122000000-2200-20-1-11100000000001-100
χ2822222-122-12-1-122-1-2-2-2-222-1-1-1112-1-2-211112-1-2-2111-1-1-222-1-1111111-1-1-1-1-2-20000002-2002011-1-10000000000-1100
χ292222-12222-122-1-1-1222222-1-1-122-12-1-1-1-1-1-1-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000022020000-1-1-1-100000000-1-1
χ302222-12222-122-1-1-1222222-1-1-122-12-1-1-1-1-1-1-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000-2-20-2000011110000000011
χ312222-12222-122-1-1-122-2-2-2-2-1-1-1-2-2-12111111-12-1-122-2-2-2111-1-1-1-1-1-111111100220000002-20-20000-1-11100000000-11
χ322222-12222-122-1-1-122-2-2-2-2-1-1-1-2-2-12111111-12-1-122-2-2-2111-1-1-1-1-1-111111100-2-2000000-2202000011-1-1000000001-1
χ332222-12222-122-1-1-1-2-222-2-2-1-1-122-12-1-1-1-1-1-1-1211-2-22-2-2-111-1-11111-1-111110022000000-2-2020000-1-1-1-10000000011
χ342222-12222-122-1-1-1-2-222-2-2-1-1-122-12-1-1-1-1-1-1-1211-2-22-2-2-111-1-11111-1-1111100-2-2000000220-20000111100000000-1-1
χ352222-12222-122-1-1-1-2-2-2-222-1-1-1-2-2-12111111-1211-2-2-2221-1-1-1-1111111-1-1-1-10022000000-220-20000-1-111000000001-1
χ362222-12222-122-1-1-1-2-2-2-222-1-1-1-2-2-12111111-1211-2-2-2221-1-1-1-1111111-1-1-1-100-2-20000002-202000011-1-100000000-11
χ3722-2-2222-2-222-2-2-2200002i−2i-22-200-220000002-2000002i−2i02i−2i2-20000002i2i−2i−2i00002i−2i2i−2i0000000000000002-20000000
χ3822-2-2222-2-222-2-2-2200002i−2i-22-200-220000002-2000002i−2i02i−2i2-20000002i2i−2i−2i0000−2i2i−2i2i000000000000000-220000000
χ3922-2-2222-2-222-2-2-220000−2i2i-22-200-220000002-200000−2i2i0−2i2i2-2000000−2i−2i2i2i00002i−2i2i−2i000000000000000-220000000
χ4022-2-2222-2-222-2-2-220000−2i2i-22-200-220000002-200000−2i2i0−2i2i2-2000000−2i−2i2i2i0000−2i2i−2i2i0000000000000002-20000000
χ4122-2-222-22-222-2-2-222-20000-22-2002-2000000-222-22-2000000-2222-2-200000000002i−2i−2i2i0000000000000000002i−2i0000
χ4222-2-222-22-222-2-2-222-20000-22-2002-2000000-222-22-2000000-2222-2-20000000000−2i2i2i−2i000000000000000000−2i2i0000
χ4322-2-222-22-222-2-2-22-220000-22-2002-2000000-22-22-22000000-22-2-22200000000002i−2i−2i2i000000000000000000−2i2i0000
χ4422-2-222-22-222-2-2-22-220000-22-2002-2000000-22-22-22000000-22-2-2220000000000−2i2i2i−2i0000000000000000002i−2i0000
χ4544444-2-4-4-24-2-244-2004-400-2-2-2-2-2-4244-2-2-2-2-420000200-40022000022000000000000000000000000000000000000
χ4644444-2-4-4-24-2-244-200-4400-2-2-222-42-4-42222-420000-200400220000-2-2000000000000000000000000000000000000
χ474444-24-4-44-244-2-2-2004-400-2-2-2442-4-2-2-2-2-2-22-40000-40020022000022000000000000000000000000000000000000
χ484444-24-4-44-244-2-2-200-4400-2-2-2-4-42-42222222-40000400-200220000-2-2000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-21444444111-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144-4-4-4-411122-2-222-1-1-1-1-2-2-2-2-2-2222222111111-1-1-1-1-1-100000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-444-4-4111-2-2-2-2-2-21111-2-22222-222-22211-1-1-1-111-1-1-1-100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4-4-44411122-2-222-1-1-1-1-2-222222-2-22-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-21004-400111-2-222-2-21111220000200200-1-13-33-3-1-13-33-300000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-21004-400111-2-222-2-21111220000200200-1-1-33-33-1-1-33-3300000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2100-4400111222222-1-1-1-1220000-200-200-1-13-33-311-33-3300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2100-4400111222222-1-1-1-1220000-200-200-1-1-33-33113-33-300000000000000000000000000000000
χ5744-4-44-24-424-22-4-4-200004i−4i2-2200-4-20000004200000−2i2i04i−4i-22000000−2i−2i2i2i00000000000000000000000000000000
χ5844-4-44-24-424-22-4-4-20000−4i4i2-2200-4-200000042000002i−2i0−4i4i-220000002i2i−2i−2i00000000000000000000000000000000
χ5944-4-44-2-4424-22-4-4-24-400002-220042000000-4-24-4-220000002-2-2-22200000000000000000000000000000000000000
χ6044-4-44-2-4424-22-4-4-2-4400002-220042000000-4-2-442-20000002-222-2-200000000000000000000000000000000000000
χ6144-4-4-244-4-4-24-422-200004i−4i2-220024000000-2-4000004i−4i0−2i2i-22000000−2i−2i2i2i00000000000000000000000000000000
χ6244-4-4-244-4-4-24-422-20000−4i4i2-220024000000-2-400000−4i4i02i−2i-220000002i2i−2i−2i00000000000000000000000000000000
χ6344-4-4-24-44-4-24-422-24-400002-2200-2-400000024-224-40000002-2-2-22200000000000000000000000000000000000000
χ6444-4-4-24-44-4-24-422-2-4400002-2200-2-4000000242-2-440000002-222-2-200000000000000000000000000000000000000
χ6544-4-4-2-24-42-2-2222100004i−4i-11-1002-2003i3i−3i−3i-2200000−2i2i0−2i2i1-13-3-333i−3iii−i−i00000000000000000000000000000000
χ6644-4-4-2-24-42-2-2222100004i−4i-11-1002-200−3i−3i3i3i-2200000−2i2i0−2i2i1-1-333-3−3i3iii−i−i00000000000000000000000000000000
χ6744-4-4-2-24-42-2-222210000−4i4i-11-1002-2003i3i−3i−3i-22000002i−2i02i−2i1-1-333-33i−3i−i−iii00000000000000000000000000000000
χ6844-4-4-2-24-42-2-222210000−4i4i-11-1002-200−3i−3i3i3i-22000002i−2i02i−2i1-13-3-33−3i3i−i−iii00000000000000000000000000000000
χ6944-4-4-2-2-442-2-222214-40000-11-100-22003i3i−3i−3i2-2-22-22000000-1111-1-1−3i3i3i−3i−3i3i00000000000000000000000000000000
χ7044-4-4-2-2-442-2-222214-40000-11-100-2200−3i−3i3i3i2-2-22-22000000-1111-1-13i−3i−3i3i3i−3i00000000000000000000000000000000
χ7144-4-4-2-2-442-2-22221-440000-11-100-22003i3i−3i−3i2-22-22-2000000-11-1-111−3i3i−3i3i3i−3i00000000000000000000000000000000
χ7244-4-4-2-2-442-2-22221-440000-11-100-2200−3i−3i3i3i2-22-22-2000000-11-1-1113i−3i3i−3i−3i3i00000000000000000000000000000000
χ734-44-444004-4-4-44-440000004-4-40000000000000000000000000000000000−2i22i2000000000000−2i22i20000000000000000
χ744-44-444004-4-4-44-440000004-4-400000000000000000000000000000000002i2−2i20000000000002i2−2i20000000000000000
χ754-44-44-200-2-4224-4-2000000-222−2i32i30000−2i32i3−2i32i3000000000000000000000000−2i22i2000000000000i2−i26−600000000000000
χ764-44-44-200-2-4224-4-2000000-222−2i32i30000−2i32i3−2i32i30000000000000000000000002i2−2i2000000000000−i2i2−6600000000000000
χ774-44-44-200-2-4224-4-2000000-2222i3−2i300002i3−2i32i3−2i3000000000000000000000000−2i22i2000000000000i2−i2−6600000000000000
χ784-44-44-200-2-4224-4-2000000-2222i3−2i300002i3−2i32i3−2i30000000000000000000000002i2−2i2000000000000−i2i26−600000000000000
χ794-4-444400-4-4-44-444000000-4-4400000000000000000000000000000000000022−220000000000000022−22000000000000
χ804-4-444400-4-4-44-444000000-4-44000000000000000000000000000000000000−222200000000000000−2222000000000000
χ814-4-44-2400-42-442-2-200000022-2000023−2323−23−23230000000000000000000000000022−2200000000000000−226−60000000000
χ824-4-44-2400-42-442-2-200000022-2000023−2323−23−232300000000000000000000000000−2222000000000000002−2−660000000000
χ834-4-44-2400-42-442-2-200000022-20000−2323−232323−230000000000000000000000000022−2200000000000000−22−660000000000
χ844-4-44-2400-42-442-2-200000022-20000−2323−232323−2300000000000000000000000000−2222000000000000002−26−60000000000
χ858-88-8-480084-8-8-44-4000000-444000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-400-4444-4420000002-2-2−4i34i300002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400-4444-4420000002-2-24i3−4i30000−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000
χ888-8-888-4004-84-4-88-400000044-4000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400444-44-42000000-2-22000043−43−232323−2300000000000000000000000000000000000000000000000000000000
χ908-8-88-4-400444-44-42000000-2-220000−434323−23−232300000000000000000000000000000000000000000000000000000000

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