Finite Group Databasebeta

← Group #11868970

Character table — Group #11868970

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121218181818242424242424242424242424242436363636363648484848
order12223344666666223444466612121212121212121212121266666666121212121212121212121212121288882244444488242424242424242422444412121212
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
χ511111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-111-1-1-111-1-111-1-111-1-1-1-11-11-1
χ611111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11-11-1111-1-1-1-111-1-111111-1-11
χ711111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-11-11-1-1-11111-1-1-1-11111-111-1
χ811111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111-1-11111-1-1-1-1-11-11
χ911111111111111-1-1111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-111-1-11111111111111-1-11-1-111-1-111-1-1-1-1-111-1-11-11
χ1011111111111111-1-1111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-111-1-1111111-1-1-1-1-1-11-11-1-1111-1-1-1-111111-1-11-111-1
χ1111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-111-1-11111-1-111-1-1-1-1-11-111-1-1-11111-1-1111-1-111-1-11
χ1211111111111111-1-1111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-111-1-11111-1-1-1-11111-111-111-1-111-1-111-1-1-111-11-11-1
χ1311111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-1-1-11111111111-1-11-1-11-1-1-1-1
χ1411111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-111-111-1-1-111
χ1511111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1-1-1111111-111-111-1-1
χ1611111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111
χ17222222-2-2222222002002-2222-2-222222222-2-20000000000-200-2-2-2-2-20000000022-2-20000000000000000-20020000
χ18222222-2-2222222002002-2222-2-222222222-2-20000000000-200-2-2-2-2-200000000-2-2220000000000000000200-20000
χ19222222-2-222222200200-22222-2-2-2-2-2-2-2-2-2-2-2-200000000002002-2-2220000000022-2-20000000000000000200-20000
χ20222222-2-222222200200-22222-2-2-2-2-2-2-2-2-2-2-2-200000000002002-2-22200000000-2-2220000000000000000-20020000
χ2122222-1222-12-1-1222-12222-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-122000000220020-1-1-1-10000000000-1-100
χ2222222-1222-12-1-1222-12222-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-2-2000000-2-200-20111100000000001100
χ2322222-1222-12-1-1222-1-2-2-2-2-1-1-12-1-2-21111112-122-1-1-1-1-1-1-2-2111-2-1-111111122000000-2200-20-1-1110000000000-1100
χ2422222-1222-12-1-1222-1-2-2-2-2-1-1-12-1-2-21111112-122-1-1-1-1-1-1-2-2111-2-1-1111111-2-20000002-2002011-1-100000000001-100
χ2522222-1222-12-1-12-2-2-122-2-2-1-1-12-1-2-21111112-1-2-2111111221-1-1-2-1-111-1-1-1-1220000002-200-20-1-11100000000001-100
χ2622222-1222-12-1-12-2-2-122-2-2-1-1-12-1-2-21111112-1-2-2111111221-1-1-2-1-111-1-1-1-1-2-2000000-22002011-1-10000000000-1100
χ2722222-1222-12-1-12-2-2-1-2-222-1-1-12-122-1-1-1-1-1-12-1-2-2111111-2-2-1112-1-1-1-1111122000000-2-20020-1-1-1-100000000001100
χ2822222-1222-12-1-12-2-2-1-2-222-1-1-12-122-1-1-1-1-1-12-1-2-2111111-2-2-1112-1-1-1-11111-2-20000002200-2011110000000000-1-100
χ292222-1222-12-122-122-12222-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1002200000022020000-1-1-1-100000000-1-1
χ302222-1222-12-122-122-12222-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-100-2-2000000-2-20-2000011110000000011
χ312222-1222-12-122-122-1-2-2-2-2-1-1-1-1211-2-21111-12-1-122-1-1-1-111-2-2-21-1-111111100220000002-20-20000-1-11100000000-11
χ322222-1222-12-122-122-1-2-2-2-2-1-1-1-1211-2-21111-12-1-122-1-1-1-111-2-2-21-1-111111100-2-2000000-2202000011-1-1000000001-1
χ332222-1222-12-122-1-2-2-122-2-2-1-1-1-1211-2-21111-1211-2-21111-1-1-2221-1-111-1-1-1-10022000000-220-20000-1-111000000001-1
χ342222-1222-12-122-1-2-2-122-2-2-1-1-1-1211-2-21111-1211-2-21111-1-1-2221-1-111-1-1-1-100-2-20000002-202000011-1-100000000-11
χ352222-1222-12-122-1-2-2-1-2-222-1-1-1-12-1-122-1-1-1-1-1211-2-21111112-2-2-1-1-1-1-111110022000000-2-2020000-1-1-1-10000000011
χ362222-1222-12-122-1-2-2-1-2-222-1-1-1-12-1-122-1-1-1-1-1211-2-21111112-2-2-1-1-1-1-1111100-2-2000000220-20000111100000000-1-1
χ3722-2-2222-222-2-2-2-22-2200002-2-22200000000-2-22-22-222-2-20000002-200000000002-22-2000000000000002-200000000
χ3822-2-2222-222-2-2-2-22-2200002-2-22200000000-2-22-22-222-2-20000002-20000000000-22-2200000000000000-2200000000
χ3922-2-2222-222-2-2-2-2-22200002-2-22200000000-2-2-22-22-2-2220000002-200000000002-22-200000000000000-2200000000
χ4022-2-2222-222-2-2-2-2-22200002-2-22200000000-2-2-22-22-2-2220000002-20000000000-22-22000000000000002-200000000
χ4122-2-222-2222-2-2-2-20022i−2i002-2-2-2-20000000022000000002i−2i02i−2i0-22002i2i−2i−2i00002-2-22000000000000000002i−2i00000
χ4222-2-222-2222-2-2-2-20022i−2i002-2-2-2-20000000022000000002i−2i02i−2i0-22002i2i−2i−2i0000-222-200000000000000000−2i2i00000
χ4322-2-222-2222-2-2-2-2002−2i2i002-2-2-2-2000000002200000000−2i2i0−2i2i0-2200−2i−2i2i2i00002-2-2200000000000000000−2i2i00000
χ4422-2-222-2222-2-2-2-2002−2i2i002-2-2-2-2000000002200000000−2i2i0−2i2i0-2200−2i−2i2i2i0000-222-2000000000000000002i−2i00000
χ4544444-2-4-44-24-2-2400-2004-4-2-2-2-4244-2-2-2-2-2-2-420000000000200-42222000000000000000000000000000000000000
χ4644444-2-4-44-24-2-2400-200-44-2-2-2-42-4-4222222-420000000000-200422-2-2000000000000000000000000000000000000
χ474444-24-4-4-24-244-200-2004-4-2-2-22-4-2-244-2-2-2-22-40000000000-40022222000000000000000000000000000000000000
χ484444-24-4-4-24-244-200-200-44-2-2-22-422-4-422222-40000000000400-222-2-2000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-24414444111-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2441-4-4-4-4111-2-22222-1-1-1-1-2-2-2-2-2-2111122222211-1-1-1-1-1-100000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-4144-4-4111-2-22222-1-1-1-1-2-22222-1-1-1-1-2-22-2-2211-1-1111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41-4-444111-2-2-2-2-2-21111-2-22222-1-1-1-122-222-21111-1-1-1-100000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2001004-411122-2-2-2-211112200003-33-3002002-1-1-1-13-33-300000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2001004-411122-2-2-2-21111220000-33-33002002-1-1-1-1-33-3300000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-200100-44111222222-1-1-1-12200003-33-300-200-2-1-111-33-3300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-200100-44111222222-1-1-1-1220000-33-3300-200-2-1-1113-33-300000000000000000000000000000000
χ5744-4-44-24-44-2-422-44-4-20000-2224-200000000-424-4-22-2-222000000-2200000000000000000000000000000000000000
χ5844-4-44-24-44-2-422-4-44-20000-2224-200000000-42-442-222-2-2000000-2200000000000000000000000000000000000000
χ5944-4-44-2-444-2-422-400-24i−4i00-222-42000000004-2000000004i−4i0−2i2i02-200−2i−2i2i2i00000000000000000000000000000000
χ6044-4-44-2-444-2-422-400-2−4i4i00-222-42000000004-200000000−4i4i02i−2i02-2002i2i−2i−2i00000000000000000000000000000000
χ6144-4-4-244-4-242-4-424-4-20000-222-24000000002-4-224-4-2-222000000-2200000000000000000000000000000000000000
χ6244-4-4-244-4-242-4-42-44-20000-222-24000000002-42-2-4422-2-2000000-2200000000000000000000000000000000000000
χ6344-4-4-24-44-242-4-4200-24i−4i00-2222-400000000-2400000000−2i2i04i−4i02-200−2i−2i2i2i00000000000000000000000000000000
χ6444-4-4-24-44-242-4-4200-2−4i4i00-2222-400000000-24000000002i−2i0−4i4i02-2002i2i−2i−2i00000000000000000000000000000000
χ6544-4-4-2-24-4-2-222224-4100001-1-1-2-200003i3i−3i−3i22-22-2211-1-10000001-13i−3i3i−3i−3i3i00000000000000000000000000000000
χ6644-4-4-2-24-4-2-222224-4100001-1-1-2-20000−3i−3i3i3i22-22-2211-1-10000001-1−3i3i−3i3i3i−3i00000000000000000000000000000000
χ6744-4-4-2-24-4-2-22222-44100001-1-1-2-200003i3i−3i−3i222-22-2-1-1110000001-13i−3i−3i3i3i−3i00000000000000000000000000000000
χ6844-4-4-2-24-4-2-22222-44100001-1-1-2-20000−3i−3i3i3i222-22-2-1-1110000001-1−3i3i3i−3i−3i3i00000000000000000000000000000000
χ6944-4-4-2-2-44-2-222220014i−4i001-1-12200003i3i−3i−3i-2-200003-3-33−2i2i0−2i2i0-11−3i3iii−i−i00000000000000000000000000000000
χ7044-4-4-2-2-44-2-222220014i−4i001-1-1220000−3i−3i3i3i-2-20000-333-3−2i2i0−2i2i0-113i−3iii−i−i00000000000000000000000000000000
χ7144-4-4-2-2-44-2-22222001−4i4i001-1-12200003i3i−3i−3i-2-20000-333-32i−2i02i−2i0-11−3i3i−i−iii00000000000000000000000000000000
χ7244-4-4-2-2-44-2-22222001−4i4i001-1-1220000−3i−3i3i3i-2-200003-3-332i−2i02i−2i0-113i−3i−i−iii00000000000000000000000000000000
χ734-44-44400-4-44-44-40040000-4-44000000000000000000000000000000000000−2i22i200000000000000−2i22i2000000000000
χ744-44-44400-4-44-44-40040000-4-440000000000000000000000000000000000002i2−2i2000000000000002i2−2i2000000000000
χ754-44-4-24002-4-2-44200-2000022-200−2i32i300−2i32i3−2i32i300000000000000000000000000−2i22i200000000000000i2−i26−60000000000
χ764-44-4-24002-4-2-44200-2000022-200−2i32i300−2i32i3−2i32i3000000000000000000000000002i2−2i200000000000000−i2i2−660000000000
χ774-44-4-24002-4-2-44200-2000022-2002i3−2i3002i3−2i32i3−2i300000000000000000000000000−2i22i200000000000000i2−i2−660000000000
χ784-44-4-24002-4-2-44200-2000022-2002i3−2i3002i3−2i32i3−2i3000000000000000000000000002i2−2i200000000000000−i2i26−60000000000
χ794-4-444400-4-4-44-440040000-44-4000000000000000000000000000000000022−2200000000000022−220000000000000000
χ804-4-444400-4-4-44-440040000-44-40000000000000000000000000000000000−2222000000000000−22220000000000000000
χ814-4-444-200-42-4-22400-200002-22000023−2323−23−232300000000000000000000000022−22000000000000−226−600000000000000
χ824-4-444-200-42-4-22400-200002-22000023−2323−23−2323000000000000000000000000−22220000000000002−2−6600000000000000
χ834-4-444-200-42-4-22400-200002-220000−2323−232323−2300000000000000000000000022−22000000000000−22−6600000000000000
χ844-4-444-200-42-4-22400-200002-220000−2323−232323−23000000000000000000000000−22220000000000002−26−600000000000000
χ858-88-88-400-8484-4-800-4000044-4000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-40044-44-440020000-2-2200−4i34i3002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ878-88-8-4-40044-44-440020000-2-22004i3−4i300−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000
χ888-8-88-48004-848-8-400-400004-44000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400444-44-40020000-22-2000043−43−232323−2300000000000000000000000000000000000000000000000000000000
χ908-8-88-4-400444-44-40020000-22-20000−434323−23−232300000000000000000000000000000000000000000000000000000000

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