Finite Group Databasebeta

← Group #11889284

Character table — Group #11889284

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order1222334466666634444666121212121212121212121212121241212121212121212121212121212121212121212122288884424466881212242424242424242422461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1111-1111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11-11-1-1-11-1-1-1-1-1-11111-1-1-111-1-1
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
χ511111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1111-111-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1111-1-1-1-111-1-111-1-11-1-1-111-1
χ611111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1111-111-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-111-11-1-111-1-1-1-111-1111-1-11
χ711111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1111-111-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11-111-1-11111-1-1-111-11-11
χ811111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1111-111-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-1111-1-11-11-1
χ9111111111111111-1-11111111111111111111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-11-111-1111-1-1-1-11111-1-1-1-1-111
χ10111111111111111-1-11111111111111111111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-1
χ11111111111111111-1-11111111111111111111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-111-1-111111111111-1-1-1-1
χ12111111111111111-1-11111111111111111111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11-11-1-11-1-1-11111-1-1-1-1-1-1-11111
χ13111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-11-1-1111-1-1-1-1-11111-1-1-1111-11-1
χ14111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111111-1-1-1-111-1-1111-1-1-11-11
χ15111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-11111-1-111-1-11-1-11-1-11
χ16111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-111111-1-1-1-111-111-111-1
χ17222222-2-22222222002-2222-2-2-2-2-222-2-2-2-2-2-2-20002000000-2-200002200000000002200000000000000000-22-20000
χ18222222-2-22222222002-2222-2-2-2-2-222-2-2-2-2-2-2-20002000000-2-20000220000000000-2-2000000000000000002-220000
χ19222222-2-2222222200-222222222-2-2-22222-2-2-2000-2000000-2-20000-2-200000000002200000000000000000-2-220000
χ20222222-2-2222222200-222222222-2-2-22222-2-2-2000-2000000-2-20000-2-20000000000-2-20000000000000000022-20000
χ2122222-1222-12-12-1-12222-1-1-122-1-12-1-1-1-1-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000020-1-120-1-1-1-1-1-100000000000
χ2222222-1222-12-12-1-12222-1-1-122-1-12-1-1-1-1-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000-2011-2011111100000000000
χ2322222-1222-12-12-1-122-2-2-1-1-1-2-2112111111-1-12-222-211-1-1-2-2-1-1-1-1-1-1111111222200000-20-1-1-2011-1-11100000000000
χ2422222-1222-12-12-1-122-2-2-1-1-1-2-2112111111-1-12-222-211-1-1-2-2-1-1-1-1-1-1111111-2-2-2-200000201120-1-111-1-100000000000
χ2522222-1222-12-12-1-1-2-222-1-1-122-1-12-1-1-1-1-1-1-1-12-2-2-221111-2-2-1-11111-1-1111122-2-20000020-1-1-20-1-1111100000000000
χ2622222-1222-12-12-1-1-2-222-1-1-122-1-12-1-1-1-1-1-1-1-12-2-2-221111-2-2-1-11111-1-11111-2-22200000-20112011-1-1-1-100000000000
χ2722222-1222-12-12-1-1-2-2-2-2-1-1-1-2-2112111111-1-122-2-2-2-1-11122-1-1111111-1-1-1-122-2-200000-20-1-1201111-1-100000000000
χ2822222-1222-12-12-1-1-2-2-2-2-1-1-1-2-2112111111-1-122-2-2-2-1-11122-1-1111111-1-1-1-1-2-222000002011-20-1-1-1-11100000000000
χ292222-1222-12-12-12-12222-1-1-1-1-122-122-1-1-1-122-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022002020002000000-1-1-1-1000-1-100
χ302222-1222-12-12-12-12222-1-1-1-1-122-122-1-1-1-122-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-20-2000-200000011110001100
χ312222-1222-12-12-12-122-2-2-1-1-111-2-2-1-2-2111122-1-2-1-11-2-22211-1-1-1-1-1-111111100002200-202000-2000000-1-1110001-100
χ322222-1222-12-12-12-122-2-2-1-1-111-2-2-1-2-2111122-1-2-1-11-2-22211-1-1-1-1-1-11111110000-2-20020-2000200000011-1-1000-1100
χ332222-1222-12-12-12-1-2-222-1-1-1-1-122-122-1-1-1-122-1-211-1-2-2-2-211-1-11111-1-1111100002200-20-20002000000-1-1-1-10001100
χ342222-1222-12-12-12-1-2-222-1-1-1-1-122-122-1-1-1-122-1-211-1-2-2-2-211-1-11111-1-111110000-2-200202000-20000001111000-1-100
χ352222-1222-12-12-12-1-2-2-2-2-1-1-111-2-2-1-2-2111122-1211122-2-2-1-1-1-1111111-1-1-1-10000220020-2000-2000000-1-111000-1100
χ362222-1222-12-12-12-1-2-2-2-2-1-1-111-2-2-1-2-2111122-1211122-2-2-1-1-1-1111111-1-1-1-10000-2-200-202000200000011-1-10001-100
χ372-22-2222-2-2-2-222-222i−2i00-22-2000020000002-2-202i−2i0002i−2i002-22i2i−2i−2i0000002-22i−2i00000002-200002i−2i0000000000000
χ382-22-2222-2-2-2-222-222i−2i00-22-2000020000002-2-202i−2i0002i−2i002-22i2i−2i−2i000000-22−2i2i0000000-220000−2i2i0000000000000
χ392-22-2222-2-2-2-222-22−2i2i00-22-2000020000002-2-20−2i2i000−2i2i002-2−2i−2i2i2i0000002-2−2i2i00000002-20000−2i2i0000000000000
χ402-22-2222-2-2-2-222-22−2i2i00-22-2000020000002-2-20−2i2i000−2i2i002-2−2i−2i2i2i000000-222i−2i0000000-2200002i−2i0000000000000
χ412-22-22-12-2-21-2-121-12i−2i001-11003−323−333−3−3-11-202i−2i0−i3i3−ii00-11−i−iii3−3−i3−i3i3i32-22i−2i0000000-11003−3−ii−i3i300000000000
χ422-22-22-12-2-21-2-121-12i−2i001-11003−323−333−3−3-11-202i−2i0−i3i3−ii00-11−i−iii3−3−i3−i3i3i3-22−2i2i00000001-100−33i−ii3−i300000000000
χ432-22-22-12-2-21-2-121-12i−2i001-1100−332−33−3−333-11-202i−2i0i3−i3−ii00-11−i−iii−33i3i3−i3−i32-22i−2i0000000-1100−33−iii3−i300000000000
χ442-22-22-12-2-21-2-121-12i−2i001-1100−332−33−3−333-11-202i−2i0i3−i3−ii00-11−i−iii−33i3i3−i3−i3-22−2i2i00000001-1003−3i−i−i3i300000000000
χ452-22-22-12-2-21-2-121-1−2i2i001-11003−323−333−3−3-11-20−2i2i0i3−i3i−i00-11ii−i−i3−3i3i3−i3−i32-2−2i2i0000000-11003−3i−ii3−i300000000000
χ462-22-22-12-2-21-2-121-1−2i2i001-11003−323−333−3−3-11-20−2i2i0i3−i3i−i00-11ii−i−i3−3i3i3−i3−i3-222i−2i00000001-100−33−ii−i3i300000000000
χ472-22-22-12-2-21-2-121-1−2i2i001-1100−332−33−3−333-11-20−2i2i0−i3i3i−i00-11ii−i−i−33−i3−i3i3i32-2−2i2i0000000-1100−33i−i−i3i300000000000
χ482-22-22-12-2-21-2-121-1−2i2i001-1100−332−33−3−333-11-20−2i2i0−i3i3i−i00-11ii−i−i−33−i3−i3i3i3-222i−2i00000001-1003−3−iii3−i300000000000
χ4944444-2-4-44-24-24-2-2004-4-2-2-2-4-422-4-2-2222222-40004000000220000-2-2000000000000000000000000000000000000
χ5044444-2-4-44-24-24-2-200-44-2-2-244-2-2-422-2-2-2-222-4000-400000022000022000000000000000000000000000000000000
χ514444-24-4-4-24-24-24-2004-4-2-2-222-4-42442222-4-42000-2000000220000-2-2000000000000000000000000000000000000
χ524444-24-4-4-24-24-24-200-44-2-2-2-2-2442-4-4-2-2-2-2-4-42000200000022000022000000000000000000000000000000000000
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
χ544444-2-244-2-2-2-2-2-2144-4-41112222-222-1-1-1-1-2-2-2-4-2-2222-2-222111111-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-444111-2-2-2-2-2-2-21111-2-2-2-422-222222211-1-1-1-111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4-4-41112222-222-1-1-1-1-2-2-24222-2-222-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21004-411122222-2-2-1-1-1-1222000-2000000-1-13-33-3113-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21004-411122222-2-2-1-1-1-1222000-2000000-1-1-33-3311-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2100-44111-2-2-2-222211112220002000000-1-13-33-3-1-1-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2100-44111-2-2-2-222211112220002000000-1-1-33-33-1-13-33-300000000000000000000000000000000
χ6144-4-44400-4-44-4-4440000-4-440000000000000000000000000000000000000000−2i22i2000000000000000−2i22i2000000000
χ6244-4-44400-4-44-4-4440000-4-4400000000000000000000000000000000000000002i2−2i20000000000000002i2−2i2000000000
χ6344-4-4-24002-4-2-424-2000022-223−230000023−2323−2300000000000000000000000000000−2i22i2000000000000000i2−i2i6−i60000000
χ6444-4-4-24002-4-2-424-2000022-223−230000023−2323−23000000000000000000000000000002i2−2i2000000000000000−i2i2−i6i60000000
χ6544-4-4-24002-4-2-424-2000022-2−232300000−2323−232300000000000000000000000000000−2i22i2000000000000000i2−i2−i6i60000000
χ6644-4-4-24002-4-2-424-2000022-2−232300000−2323−2323000000000000000000000000000002i2−2i2000000000000000−i2i2i6−i60000000
χ674-44-444-44-4-4-444-440000-44-40000-4000000-4440000000000-44000000000000000000000000000000000000000000
χ684-44-44-2-44-42-4-242-200002-220023−23-4−23232323−23−232-2400000000002-20000−2323000000000000000000000000000000000000
χ694-44-44-2-44-42-4-242-200002-2200−2323-423−23−23−2323232-2400000000002-2000023−23000000000000000000000000000000000000
χ704-44-4-244-42-424-2-4-24i−4i002-220000-20000004-420−2i2i0004i−4i00-22−2i−2i2i2i00000000000000000000000000000000000000
χ714-44-4-244-42-424-2-4-2−4i4i002-220000-20000004-4202i−2i000−4i4i00-222i2i−2i−2i00000000000000000000000000000000000000
χ724-44-4-24-442-424-2-4-200002-2200002000000-44-200000000−2i32i32-2000000−2i32i32i3−2i300000000000000000000000000000000
χ734-44-4-24-442-424-2-4-200002-2200002000000-44-2000000002i3−2i32-20000002i3−2i3−2i32i300000000000000000000000000000000
χ744-44-4-2-24-4222-2-2214i−4i00-11-10023−23-223−23−3−333-2220−2i2i0−2i32i3−2i2i001-1ii−i−i−33i3i3−i3−i300000000000000000000000000000000
χ754-44-4-2-24-4222-2-2214i−4i00-11-100−2323-2−232333−3−3-2220−2i2i02i3−2i3−2i2i001-1ii−i−i3−3−i3−i3i3i300000000000000000000000000000000
χ764-44-4-2-24-4222-2-221−4i4i00-11-10023−23-223−23−3−333-22202i−2i02i3−2i32i−2i001-1−i−iii−33−i3−i3i3i300000000000000000000000000000000
χ774-44-4-2-24-4222-2-221−4i4i00-11-100−2323-2−232333−3−3-22202i−2i0−2i32i32i−2i001-1−i−iii3−3i3i3−i3−i300000000000000000000000000000000
χ784-44-4-2-2-44222-2-2210000-11-10023−232−2323−3−3332-2-200000000−2i32i3-113i−3i−3i3i3−3i3−i3−i3i300000000000000000000000000000000
χ794-44-4-2-2-44222-2-2210000-11-10023−232−2323−3−3332-2-2000000002i3−2i3-11−3i3i3i−3i3−3−i3i3i3−i300000000000000000000000000000000
χ804-44-4-2-2-44222-2-2210000-11-100−2323223−2333−3−32-2-200000000−2i32i3-11−3i3i3i−3i−33i3−i3−i3i300000000000000000000000000000000
χ814-44-4-2-2-44222-2-2210000-11-100−2323223−2333−3−32-2-2000000002i3−2i3-113i−3i−3i3i−33−i3i3i3−i300000000000000000000000000000000
χ824-4-44440044-4-4-4-4400004-4-40000000000000000000000000000000000000000004i−4i000000000000000000000000
χ834-4-44440044-4-4-4-4400004-4-4000000000000000000000000000000000000000000−4i4i000000000000000000000000
χ8488-8-88-400-8484-8-4-4000044-400000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-40044-444-420000-2-2243−4300000−2323−2323000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-40044-444-420000-2-22−43430000023−2323−23000000000000000000000000000000000000000000000000000000000
χ878-8-888-4008-4-84-84-40000-44400000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800-484-84-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400-4-44444200002-2-200000006-6-66000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-400-4-44444200002-2-20000000-666-6000000000000000000000000000000000000000000000000000000000

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