Finite Group Databasebeta

← Group #11866342

Character table — Group #11866342

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121218181818242424242424242424242424242436363636363648484848
order1222334466666634444446661212121212121212121212121212121212121212121212121212121212121212121288882244222488242424242424242444444466612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-1-1-1-111-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-11-1-11
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ511111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-11-1-111-1-111-1-1-111-1-1-1-11-11
χ611111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1111-1-1-1-1111-1-111111-1-1
χ711111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-1-11111-1-11-1-1111-1-111
χ811111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-111-111-1-111-1-111-111-1-1-11-11-1
χ9111111111111111-1-111-1-1111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111111111111-1-11-1-1-1-1-1-1
χ10111111111111111-1-111-1-1111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-111-1111-1-11
χ11111111111111111-1-111-1-1111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1-1-11111-111-111-111-1
χ12111111111111111-1-111-1-1111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111
χ13111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-111-1-1-111-1-111-1-1-1-1-1-1111-11-1
χ14111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1111-1-1-1-1111111-1-1-1-111
χ15111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-11-11-11-1-1-11111-1-11111-1-111-1-1
χ16111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-111-1-111-1-1-1-111-11-11
χ17222222-2-22222222002-200222-2-2-2-2-2-2-2-2-2-2-2-20000220000-2-20000220000000022-2-200000000000000-2002000000
χ18222222-2-22222222002-200222-2-2-2-2-2-2-2-2-2-2-2-20000220000-2-200002200000000-2-22200000000000000200-2000000
χ19222222-2-2222222200-22002222222-2-22222-2-20000-2-20000-2-20000-2-20000000022-2-200000000000000200-2000000
χ20222222-2-2222222200-22002222222-2-22222-2-20000-2-20000-2-20000-2-200000000-2-22200000000000000-2002000000
χ2122222-1222-12-1-12-1222222-1-1-122-1-1-12-1-1-1-1-1222-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122000000220020-1-1-1-100000000000-1-10
χ2222222-1222-12-1-12-1222222-1-1-122-1-1-12-1-1-1-1-1222-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-200-20111100000000000110
χ2322222-1222-12-1-12-122-2-2-2-2-1-1-1-2-211-121111-1222-1-1-2111-2-2-1-1-1-1-1-1111111220000002-200-20-1-11100000000000-110
χ2422222-1222-12-1-12-122-2-2-2-2-1-1-1-2-211-121111-1222-1-1-2111-2-2-1-1-1-1-1-1111111-2-2000000-22002011-1-1000000000001-10
χ2522222-1222-12-1-12-1-2-222-2-2-1-1-122-1-1-12-1-1-1-1-12-2-2112-111-2-2-1-11111-1-1111122000000-2-20020-1-1-1-100000000000110
χ2622222-1222-12-1-12-1-2-222-2-2-1-1-122-1-1-12-1-1-1-1-12-2-2112-111-2-2-1-11111-1-11111-2-20000002200-20111100000000000-1-10
χ2722222-1222-12-1-12-1-2-2-2-222-1-1-1-2-211-121111-12-2-211-21-1-122-1-1111111-1-1-1-122000000-2200-20-1-111000000000001-10
χ2822222-1222-12-1-12-1-2-2-2-222-1-1-1-2-211-121111-12-2-211-21-1-122-1-1111111-1-1-1-1-2-20000002-2002011-1-100000000000-110
χ292222-1222-12-122-1-1222222-1-1-1-1-1222-1-1-1-1-12-1-1-122-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000022020000-1-1-1-1000000-100-1
χ302222-1222-12-122-1-1222222-1-1-1-1-1222-1-1-1-1-12-1-1-122-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000-2-20-2000011110000001001
χ312222-1222-12-122-1-122-2-2-2-2-1-1-111-2-22-111112-1-1-1221-2-2-211-1-1-1-1-1-11111110022000000-220-20000-1-111000000100-1
χ322222-1222-12-122-1-122-2-2-2-2-1-1-111-2-22-111112-1-1-1221-2-2-211-1-1-1-1-1-111111100-2-20000002-202000011-1-1000000-1001
χ332222-1222-12-122-1-1-2-222-2-2-1-1-1-1-1222-1-1-1-1-12-111-2-2-12-2-211-1-11111-1-111110022000000-2-2020000-1-1-1-10000001001
χ342222-1222-12-122-1-1-2-222-2-2-1-1-1-1-1222-1-1-1-1-12-111-2-2-12-2-211-1-11111-1-1111100-2-2000000220-200001111000000-100-1
χ352222-1222-12-122-1-1-2-2-2-222-1-1-111-2-22-111112-111-2-21-222-1-1-1-1111111-1-1-1-100220000002-20-20000-1-111000000-1001
χ362222-1222-12-122-1-1-2-2-2-222-1-1-111-2-22-111112-111-2-21-222-1-1-1-1111111-1-1-1-100-2-2000000-2202000011-1-1000000100-1
χ372-2-22222-2-2-2-22-2222i−2i0000-22-20000220000-2-22i−2i2i−2i0000002-22i2i−2i−2i00000000002-22-20000000000000002i−2i0000000
χ382-2-22222-2-2-2-22-2222i−2i0000-22-20000220000-2-22i−2i2i−2i0000002-22i2i−2i−2i0000000000-22-22000000000000000−2i2i0000000
χ392-2-22222-2-2-2-22-222−2i2i0000-22-20000220000-2-2−2i2i−2i2i0000002-2−2i−2i2i2i00000000002-22-2000000000000000−2i2i0000000
χ402-2-22222-2-2-2-22-222−2i2i0000-22-20000220000-2-2−2i2i−2i2i0000002-2−2i−2i2i2i0000000000-22-220000000000000002i−2i0000000
χ412-2-2222-22-2-2-22-22200002-2-22-20000-2-20000220000002-22-2-2200000022-2-200002-2-220000000000000000002-20000
χ422-2-2222-22-2-2-22-22200002-2-22-20000-2-20000220000002-22-2-2200000022-2-20000-222-2000000000000000000-220000
χ432-2-2222-22-2-2-22-2220000-22-22-20000-2-2000022000000-22-22-22000000-2-22200002-2-22000000000000000000-220000
χ442-2-2222-22-2-2-22-2220000-22-22-20000-2-2000022000000-22-22-22000000-2-2220000-222-20000000000000000002-20000
χ4544444-2-4-44-24-2-24-2004-400-2-2-2-4-4222-422222-400004-20000220000-2-2000000000000000000000000000000000000
χ4644444-2-4-44-24-2-24-200-4400-2-2-244-2-22-4-2-2-2-22-40000-42000022000022000000000000000000000000000000000000
χ474444-24-4-4-24-244-2-2004-400-2-2-222-4-4-422222-420000-240000220000-2-2000000000000000000000000000000000000
χ484444-24-4-4-24-244-2-200-4400-2-2-2-2-244-42-2-2-2-2-4200002-4000022000022000000000000000000000000000000000000
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
χ504444-2-244-2-2-2-2-2-2144-4-4-4-41112222-2-2-1-1-1-1-2-2-2-2-2-2222222111111-1-1-1-1-1-100000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-444-4-4111-2-2-2-2-2-21111-2-22222-2-2222211-1-1-1-111-1-1-1-100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4-4-4441112222-2-2-1-1-1-1-2-2222222-2-2-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-21004-400111222222-1-1-1-1220000-2-20000-1-13-33-3113-33-300000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-21004-400111222222-1-1-1-1220000-2-20000-1-1-33-3311-33-3300000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2100-4400111-2-2-2-2221111220000220000-1-13-33-3-1-1-33-3300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2100-4400111-2-2-2-2221111220000220000-1-1-33-33-1-13-33-300000000000000000000000000000000
χ5744-4-44400-4-44-44-44000000-4-44000000000000000000000000000000000000−2i22i200000000000000−2i22i2000000000000
χ5844-4-44400-4-44-44-44000000-4-440000000000000000000000000000000000002i2−2i2000000000000002i2−2i2000000000000
χ5944-4-4-24002-4-2-442-200000022-223−2300002323−23−2300000000000000000000000000−2i22i200000000000000i2−i2i6−i60000000000
χ6044-4-4-24002-4-2-442-200000022-223−2300002323−23−23000000000000000000000000002i2−2i200000000000000−i2i2−i6i60000000000
χ6144-4-4-24002-4-2-442-200000022-2−23230000−23−23232300000000000000000000000000−2i22i200000000000000i2−i2−i6i60000000000
χ6244-4-4-24002-4-2-442-200000022-2−23230000−23−232323000000000000000000000000002i2−2i200000000000000−i2i2i6−i60000000000
χ634-44-4440044-4-4-4-440000004-4-40000000000000000000000000000000000−2i22i2000000000000−2i22i20000000000000000
χ644-44-4440044-4-4-4-440000004-4-400000000000000000000000000000000002i2−2i20000000000002i2−2i20000000000000000
χ654-44-44-2004-2-422-4-2000000-22200−2i32i300−2i32i3−2i32i3000000000000000000000000−2i22i2000000000000i2−i26−600000000000000
χ664-44-44-2004-2-422-4-2000000-22200−2i32i300−2i32i3−2i32i30000000000000000000000002i2−2i2000000000000−i2i2−6600000000000000
χ674-44-44-2004-2-422-4-2000000-222002i3−2i3002i3−2i32i3−2i3000000000000000000000000−2i22i2000000000000i2−i2−6600000000000000
χ684-44-44-2004-2-422-4-2000000-222002i3−2i3002i3−2i32i3−2i30000000000000000000000002i2−2i2000000000000−i2i26−600000000000000
χ694-4-444-24-4-42-4-224-24i−4i00002-220000-2400002-44i−4i−2i2i000000-22−2i−2i2i2i00000000000000000000000000000000000000
χ704-4-444-24-4-42-4-224-2−4i4i00002-220000-2400002-4−4i4i2i−2i000000-222i2i−2i−2i00000000000000000000000000000000000000
χ714-4-444-2-44-42-4-224-200004-42-2200002-40000-24000000-224-42-2000000-2-22200000000000000000000000000000000
χ724-4-444-2-44-42-4-224-20000-442-2200002-40000-240000002-2-442-200000022-2-200000000000000000000000000000000
χ734-4-44-244-42-424-4-2-24i−4i00002-2200004-20000-42−2i2i4i−4i000000-22−2i−2i2i2i00000000000000000000000000000000000000
χ744-4-44-244-42-424-4-2-2−4i4i00002-2200004-20000-422i−2i−4i4i000000-222i2i−2i−2i00000000000000000000000000000000000000
χ754-4-44-24-442-424-4-2-200004-42-220000-4200004-20000004-4-222-2000000-2-22200000000000000000000000000000000
χ764-4-44-24-442-424-4-2-20000-442-220000-4200004-2000000-442-22-200000022-2-200000000000000000000000000000000
χ774-4-44-2-24-4222-22-214i−4i0000-11-10000-2-23i−3i−3i3i22−2i2i−2i2i0000001-1ii−i−i3i−3i3-3-3300000000000000000000000000000000
χ784-4-44-2-24-4222-22-214i−4i0000-11-10000-2-2−3i3i3i−3i22−2i2i−2i2i0000001-1ii−i−i−3i3i-333-300000000000000000000000000000000
χ794-4-44-2-24-4222-22-21−4i4i0000-11-10000-2-23i−3i−3i3i222i−2i2i−2i0000001-1−i−iii3i−3i-333-300000000000000000000000000000000
χ804-4-44-2-24-4222-22-21−4i4i0000-11-10000-2-2−3i3i3i−3i222i−2i2i−2i0000001-1−i−iii−3i3i3-3-3300000000000000000000000000000000
χ814-4-44-2-2-44222-22-2100004-4-11-10000223i−3i−3i3i-2-2000000-22-22-11−3i3i3i−3i−3i3i11-1-100000000000000000000000000000000
χ824-4-44-2-2-44222-22-2100004-4-11-1000022−3i3i3i−3i-2-2000000-22-22-113i−3i−3i3i3i−3i11-1-100000000000000000000000000000000
χ834-4-44-2-2-44222-22-210000-44-11-10000223i−3i−3i3i-2-20000002-22-2-113i−3i−3i3i−3i3i-1-11100000000000000000000000000000000
χ844-4-44-2-2-44222-22-210000-44-11-1000022−3i3i3i−3i-2-20000002-22-2-11−3i3i3i−3i3i−3i-1-11100000000000000000000000000000000
χ8588-8-88-400-8484-4-8-400000044-4000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-40044-44-442000000-2-2243−430000−23−23232300000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-40044-44-442000000-2-22−434300002323−23−2300000000000000000000000000000000000000000000000000000000
χ888-88-8-4800-484-8-84-4000000-444000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400-4-4444420000002-2-200−4i34i3002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-4-4444420000002-2-2004i3−4i300−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000

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