Finite Group Databasebeta

← Group #11896049

Character table — Group #11896049

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order1222334466666634444666121212121212121212121212121241212121212121212121212121212121212121212124488884444488121212122424242424242424444121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ511111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1111111-1-1-1-1-1-111111111-11-1-1-1-1-11111-1-111-1-1-11-11-11-1
χ611111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-11111-1-1-1-1111-11-11-11
χ711111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-11-111-1-1-1-11111-1-11-111-1-11
χ811111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-111111-1-1-1-111-1-111-11-1-111-1
χ9111111111111111-1-11111111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-11-1-1-111111-1-1-1-11111-1-1-1-1-111
χ10111111111111111-1-11111111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1
χ11111111111111111-1-11111111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1-1-1-111111111111-1-1-1-1
χ12111111111111111-1-11111111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-11111
χ13111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-111-1-11111-1-11-11-111-1
χ14111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-11-111-1-111-1-111-1-111-11-11-1-11
χ15111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111111-11-1-111-1-111-1-111-1-1-11-1-11-11
χ16111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111-1-111-1-1-1-1111-111-11-1
χ17222222-2-22222222002-2222-222-2-2-2-2-2-2-2-2-2-2-20000020000-2-2000022000000000022000000000000000002-2-20000
χ18222222-2-22222222002-2222-222-2-2-2-2-2-2-2-2-2-2-20000020000-2-20000220000000000-2-200000000000000000-2220000
χ19222222-2-2222222200-22222-2-2-222222222-2-2-200000-20000-2-20000-2-200000000002200000000000000000-2-220000
χ20222222-2-2222222200-22222-2-2-222222222-2-2-200000-20000-2-20000-2-20000000000-2-20000000000000000022-20000
χ2122222-12222-1-1-12-12222-1-1-12-1-1-1-122-1-1-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000020020-1-1-1-1-1-1-1-100000000000
χ2222222-12222-1-1-12-12222-1-1-12-1-1-1-122-1-1-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-200-201111111100000000000
χ2322222-12222-1-1-12-122-2-2-1-1-121111-2-21111-1-12-222-1-1-2-2-211-1-1-1-1-1-111111122220000-200-2011-1-1-1-11100000000000
χ2422222-12222-1-1-12-122-2-2-1-1-121111-2-21111-1-12-222-1-1-2-2-211-1-1-1-1-1-1111111-2-2-2-2000020020-1-11111-1-100000000000
χ2522222-12222-1-1-12-1-2-222-1-1-12-1-1-1-122-1-1-1-1-1-12-2-2-2112-2-211-1-11111-1-1111122-2-20000200-20-1-1-1-1111100000000000
χ2622222-12222-1-1-12-1-2-222-1-1-12-1-1-1-122-1-1-1-1-1-12-2-2-2112-2-211-1-11111-1-11111-2-2220000-200201111-1-1-1-100000000000
χ2722222-12222-1-1-12-1-2-2-2-2-1-1-121111-2-21111-1-122-2-211-222-1-1-1-1111111-1-1-1-122-2-20000-2002011-1-111-1-100000000000
χ2822222-12222-1-1-12-1-2-2-2-2-1-1-121111-2-21111-1-122-2-211-222-1-1-1-1111111-1-1-1-1-2-2220000200-20-1-111-1-11100000000000
χ292222-1222-1-1222-1-12222-1-1-1-12222-1-1-1-1-1-122-12-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022000220200000000-1-1-1-1000-1-100
χ302222-1222-1-1222-1-12222-1-1-1-12222-1-1-1-1-1-122-12-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2000-2-20-20000000011110001100
χ312222-1222-1-1222-1-122-2-2-1-1-1-1-2-2-2-211111122-1-2-1-122111-2-2-1-1-1-1-1-11111110000220002-20-200000000-1-111000-1100
χ322222-1222-1-1222-1-122-2-2-1-1-1-1-2-2-2-211111122-1-2-1-122111-2-2-1-1-1-1-1-11111110000-2-2000-22020000000011-1-10001-100
χ332222-1222-1-1222-1-1-2-222-1-1-1-12222-1-1-1-1-1-122-1-211-2-2-111-2-2-1-11111-1-11111000022000-2-20200000000-1-1-1-10001100
χ342222-1222-1-1222-1-1-2-222-1-1-1-12222-1-1-1-1-1-122-1-211-2-2-111-2-2-1-11111-1-111110000-2-2000220-2000000001111000-1-100
χ352222-1222-1-1222-1-1-2-2-2-2-1-1-1-1-2-2-2-211111122-1211-2-21-1-122-1-1111111-1-1-1-1000022000-220-200000000-1-1110001-100
χ362222-1222-1-1222-1-1-2-2-2-2-1-1-1-1-2-2-2-211111122-1211-2-21-1-122-1-1111111-1-1-1-10000-2-20002-2020000000011-1-1000-1100
χ372-22-222-222-2-2-22-222i−2i00-22-2-200000000002-2202i−2i2i−2i000002-22i2i−2i−2i0000002-22i−2i000000000002-22i−2i0000000000000
χ382-22-222-222-2-2-22-222i−2i00-22-2-200000000002-2202i−2i2i−2i000002-22i2i−2i−2i000000-22−2i2i00000000000-22−2i2i0000000000000
χ392-22-222-222-2-2-22-22−2i2i00-22-2-200000000002-220−2i2i−2i2i000002-2−2i−2i2i2i0000002-2−2i2i000000000002-2−2i2i0000000000000
χ402-22-222-222-2-2-22-22−2i2i00-22-2-200000000002-220−2i2i−2i2i000002-2−2i−2i2i2i000000-222i−2i00000000000-222i−2i0000000000000
χ412-22-22-1-222-211-1-2-12i−2i001-11-23−33−30033−3−3-11202i−2i−ii000−i3i3-11−i−iii3−3−i3−i3i3i32-22i−2i0000000003−3-11−ii−i3i300000000000
χ422-22-22-1-222-211-1-2-12i−2i001-11-23−33−30033−3−3-11202i−2i−ii000−i3i3-11−i−iii3−3−i3−i3i3i3-22−2i2i000000000−331-1i−ii3−i300000000000
χ432-22-22-1-222-211-1-2-12i−2i001-11-2−33−3300−3−333-11202i−2i−ii000i3−i3-11−i−iii−33i3i3−i3−i32-22i−2i000000000−33-11−iii3−i300000000000
χ442-22-22-1-222-211-1-2-12i−2i001-11-2−33−3300−3−333-11202i−2i−ii000i3−i3-11−i−iii−33i3i3−i3−i3-22−2i2i0000000003−31-1i−i−i3i300000000000
χ452-22-22-1-222-211-1-2-1−2i2i001-11-23−33−30033−3−3-1120−2i2ii−i000i3−i3-11ii−i−i3−3i3i3−i3−i32-2−2i2i0000000003−3-11i−ii3−i300000000000
χ462-22-22-1-222-211-1-2-1−2i2i001-11-23−33−30033−3−3-1120−2i2ii−i000i3−i3-11ii−i−i3−3i3i3−i3−i3-222i−2i000000000−331-1−ii−i3i300000000000
χ472-22-22-1-222-211-1-2-1−2i2i001-11-2−33−3300−3−333-1120−2i2ii−i000−i3i3-11ii−i−i−33−i3−i3i3i32-2−2i2i000000000−33-11i−i−i3i300000000000
χ482-22-22-1-222-211-1-2-1−2i2i001-11-2−33−3300−3−333-1120−2i2ii−i000−i3i3-11ii−i−i−33−i3−i3i3i3-222i−2i0000000003−31-1−iii3−i300000000000
χ4944444-2-4-444-2-2-24-2004-4-2-2-2-4-2-222-4-4222222-40000040000220000-2-2000000000000000000000000000000000000
χ5044444-2-4-444-2-2-24-200-44-2-2-2-422-2-244-2-2-2-222-400000-4000022000022000000000000000000000000000000000000
χ514444-24-4-4-2-2444-2-2004-4-2-2-2244-4-4222222-4-4200000-20000220000-2-2000000000000000000000000000000000000
χ524444-24-4-4-2-2444-2-200-44-2-2-22-4-444-2-2-2-2-2-2-4-42000002000022000022000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-214444111-2-2-2-2-2-2-21111-2-2-24-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2144-4-4111-2222222-1-1-1-1-2-2-2-4-2-2-2-222222111111-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-444111-2-2-2-2-2-2-21111-2-2-2-42222-2222211-1-1-1-111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4-4-4111-2222222-1-1-1-1-2-2-2422222-2-2-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21004-41112-2-22222-1-1-1-122200000-20000-1-13-33-3113-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21004-41112-2-22222-1-1-1-122200000-20000-1-1-33-3311-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2100-44111222-2-2-2-211112220000020000-1-13-33-3-1-1-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2100-44111222-2-2-2-211112220000020000-1-1-33-33-1-13-33-300000000000000000000000000000000
χ6144-4-44400-444-4-4-440000-4-440000000000000000000000000000000000000000004-4000000000000000000000000
χ6244-4-44400-444-4-4-440000-4-44000000000000000000000000000000000000000000-44000000000000000000000000
χ634-44-4444-44-4-4-44-440000-44-440000000000-44-40000000000-44000000000000000000000000000000000000000000
χ644-44-44-24-44-422-2-4-200002-22423−23−232300−23−2323232-2-400000000002-2000023−23000000000000000000000000000000000000
χ654-44-44-24-44-422-2-4-200002-224−232323−23002323−23−232-2-400000000002-20000−2323000000000000000000000000000000000000
χ664-44-4-244-4-22-4-442-200002-22-20000000000-442000000−2i32i3002-2000000−2i32i32i3−2i300000000000000000000000000000000
χ674-44-4-244-4-22-4-442-200002-22-20000000000-4420000002i3−2i3002-20000002i3−2i3−2i32i300000000000000000000000000000000
χ684-44-4-24-44-22-4-442-24i−4i002-22200000000004-4-20−2i2i4i−4i00000-22−2i−2i2i2i00000000000000000000000000000000000000
χ694-44-4-24-44-22-4-442-2−4i4i002-22200000000004-4-202i−2i−4i4i00000-222i2i−2i−2i00000000000000000000000000000000000000
χ704-44-4-2-24-4-2222-2210000-11-1-223−23−23230033−3−32-22000000−2i32i300-11−3i3i3i−3i−33i3−i3−i3i300000000000000000000000000000000
χ714-44-4-2-24-4-2222-2210000-11-1-223−23−23230033−3−32-220000002i3−2i300-113i−3i−3i3i−33−i3i3i3−i300000000000000000000000000000000
χ724-44-4-2-24-4-2222-2210000-11-1-2−232323−2300−3−3332-22000000−2i32i300-113i−3i−3i3i3−3i3−i3−i3i300000000000000000000000000000000
χ734-44-4-2-24-4-2222-2210000-11-1-2−232323−2300−3−3332-220000002i3−2i300-11−3i3i3i−3i3−3−i3i3i3−i300000000000000000000000000000000
χ744-44-4-2-2-44-2222-2214i−4i00-11-1223−2323−2300−3−333-22-20−2i2i−2i2i000−2i32i31-1ii−i−i−33i3i3−i3−i300000000000000000000000000000000
χ754-44-4-2-2-44-2222-2214i−4i00-11-12−2323−23230033−3−3-22-20−2i2i−2i2i0002i3−2i31-1ii−i−i3−3−i3−i3i3i300000000000000000000000000000000
χ764-44-4-2-2-44-2222-221−4i4i00-11-1223−2323−2300−3−333-22-202i−2i2i−2i0002i3−2i31-1−i−iii−33−i3−i3i3i300000000000000000000000000000000
χ774-44-4-2-2-44-2222-221−4i4i00-11-12−2323−23230033−3−3-22-202i−2i2i−2i000−2i32i31-1−i−iii3−3i3i3−i3−i300000000000000000000000000000000
χ784-4-444400-4-4-44-44400004-4-40000000000000000000000000000000000000000−2i22i2000000000000000−2i22i2000000000
χ794-4-444400-4-4-44-44400004-4-400000000000000000000000000000000000000002i2−2i20000000000000002i2−2i2000000000
χ804-4-44-240022-44-4-2-20000-22200000−2i32i3−2i32i3−2i32i300000000000000000000000000000−2i22i2000000000000000i2−i26−60000000
χ814-4-44-240022-44-4-2-20000-22200000−2i32i3−2i32i3−2i32i3000000000000000000000000000002i2−2i2000000000000000−i2i2−660000000
χ824-4-44-240022-44-4-2-20000-222000002i3−2i32i3−2i32i3−2i300000000000000000000000000000−2i22i2000000000000000i2−i2−660000000
χ834-4-44-240022-44-4-2-20000-222000002i3−2i32i3−2i32i3−2i3000000000000000000000000000002i2−2i2000000000000000−i2i26−60000000
χ8488-8-88-400-88-444-8-4000044-400000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-48004-48-8-84-4000044-400000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-4-444420000-2-2200000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-4004-4-444420000-2-220000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000
χ888-8-888-400-8-84-448-40000-44400000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400444-44-4200002-2-200000−4i34i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-400444-44-4200002-2-2000004i3−4i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000

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