Finite Group Databasebeta

← Group #11895751

Character table — Group #11895751

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order1222334466666622366688121212122424242444121212122666666121224242424242444444881212121224242424666662448121212121212122424446248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-11-11111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-11-11-1-1-1-111-1-1-1-1111111-111111-1-1-1-111-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ511111111111111111111-1-11111-1-1-1-1111111-111-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-111-1-1-111-111111-1-1-1-111-1-11-1
χ611111111111111111111-1-11111-1-1-1-1111111-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-111-1-111-11-1-1-111-1-111-1-111-11
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1111-1-1111111-111-1-1-1-11-1111-1-111-1-1-1-1-11-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-11111-111-1-11-1-11-1-1-1-1-11111111-11-1
χ911111111111111-1-111111111111111111111-1-1-1-1-1-1-111111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11
χ1011111111111111-1-111111111111111111111-1-1-1-1-1-1-111111111-1-1-11-11111-1-11111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1-1111111-1-1-111-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1111-1-11
χ1311111111111111-1-11111-1-11111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-111111-1-11111-1-1-1-11-1-1111-1-1-11-1-1-1-111-1-11111-1-1
χ1411111111111111-1-11111-1-11111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-111-11-1-1-111-1-1-1-1-1-11-1-111-1-111-111-1-11111-1-1-1-111
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11-1111-1-11111111-1-11111-1-11-1-111-1-1-1-1-1-11-111
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1111-11111-1-11111-11-1-1
χ17222222-2-222222200222200-2-2-2-200002222220000000-2-2000000002-2-200-2-2-2-200000000000002000000002-20000
χ18222222-2-222222200222200-2-2-2-200002222220000000-2-200000000-2-2200-2-2220000000000000-200000000-220000
χ19222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-20000000022-20022-2-20000000000000200000000-220000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-200000000-2220022220000000000000-2000000002-20000
χ2122222-1222-12-1-1222-1-1-1-122-122-1222200000022222-1-1-1-1-1-1-1-1-1-1002020000-1-10000-1-1-1-1-12022-1-1-10000-1-100-1000
χ2222222-1222-12-1-1222-1-1-1-122-122-1222200000022222-1-1-1-1-1-1-1-1-1-100-20-20000110000-1-1-1-1-1-20-2-2111000011001000
χ2322222-1222-12-1-1222-1-1-1-1-2-2-122-1-2-2-2-2000000-222-2-2-1-1-1-1111111002020000-1-100001-1-111-202-2-1-1-1000011001000
χ2422222-1222-12-1-1222-1-1-1-1-2-2-122-1-2-2-2-2000000-222-2-2-1-1-1-111111100-20-200001100001-1-11120-221110000-1-100-1000
χ2522222-1222-12-1-12-2-2-1-1-1-122-122-12222000000-2-2-2-2-211-1-1-1-1-1-1-1-1002020000-1-1000011111-20-22-1110000-1-1001000
χ2622222-1222-12-1-12-2-2-1-1-1-122-122-12222000000-2-2-2-2-211-1-1-1-1-1-1-1-100-20-2000011000011111202-21-1-100001100-1000
χ2722222-1222-12-1-12-2-2-1-1-1-1-2-2-122-1-2-2-2-20000002-2-22211-1-1111111002020000-1-10000-111-1-120-2-2-11100001100-1000
χ2822222-1222-12-1-12-2-2-1-1-1-1-2-2-122-1-2-2-2-20000002-2-22211-1-111111100-20-20000110000-111-1-1-20221-1-10000-1-1001000
χ292222-1222-12-122-122-1-1-1-1222-1-12-1-1-1-122-1-1-1-12-1-1-1-122-1-122-1-1-1-12202022-1-100-1-1-1-12-1-1-1-10200000-1-1-1-100000000
χ302222-1222-12-122-122-1-1-1-1222-1-12-1-1-1-1-2-211112-1-1-1-122-1-122-1-1-1-1-2-20-20-2-2110011112-1-1-1-10-200000111100000000
χ312222-1222-12-122-122-1-1-1-1-2-22-1-12111122-1-1-1-1-2-1-11122-1-1-2-21111-2-2020-2-2-1-1001111-2-1-1110200000-1-11100000000
χ322222-1222-12-122-122-1-1-1-1-2-22-1-121111-2-21111-2-1-11122-1-1-2-21111220-20221100-1-1-1-1-2-1-1110-20000011-1-100000000
χ332222-1222-12-122-1-2-2-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-21111-2-2-1-122-1-1-1-1-2-202022-1-100-1-1-1-1-211110-200000111100000000
χ342222-1222-12-122-1-2-2-1-1-1-1222-1-12-1-1-1-1-2-21111-21111-2-2-1-122-1-1-1-1220-20-2-211001111-211110200000-1-1-1-100000000
χ352222-1222-12-122-1-2-2-1-1-1-1-2-22-1-12111122-1-1-1-1211-1-1-2-2-1-1-2-2111122020-2-2-1-1001111211-1-10-20000011-1-100000000
χ362222-1222-12-122-1-2-2-1-1-1-1-2-22-1-121111-2-21111211-1-1-2-2-1-1-2-21111-2-20-20221100-1-1-1-1211-1-10200000-1-11100000000
χ3722-2-222-2222-2-2-2-22-22-2-2200-22-22000000000002-2002-2-220000002i−2i0002i−2i00002i2i−2i−2i02-2000000000002i−2i00000000
χ3822-2-222-2222-2-2-2-22-22-2-2200-22-22000000000002-2002-2-22000000−2i2i000−2i2i0000−2i−2i2i2i02-200000000000−2i2i00000000
χ3922-2-222-2222-2-2-2-2-222-2-2200-22-2200000000000-2200-22-220000002i−2i000−2i2i0000−2i−2i2i2i0-22000000000002i−2i00000000
χ4022-2-222-2222-2-2-2-2-222-2-2200-22-2200000000000-2200-22-22000000−2i2i0002i−2i00002i2i−2i−2i0-2200000000000−2i2i00000000
χ4122-2-2-12-22-121-2-212-2-111-100-2-112−i3−i3i3i30033−3−30-11−i3i32-21-100−i3−i3i3i32i−2i0002i−2i3−300−i−iii0-11−i3i300000003−3−ii00000000
χ4222-2-2-12-22-121-2-212-2-111-100-2-112−i3−i3i3i300−3−3330-11−i3i32-21-100−i3−i3i3i3−2i2i000−2i2i−3300ii−i−i0-11−i3i30000000−33i−i00000000
χ4322-2-2-12-22-121-2-212-2-111-100-2-112i3i3−i3−i30033−3−30-11i3−i32-21-100i3i3−i3−i3−2i2i000−2i2i3−300ii−i−i0-11i3−i300000003−3i−i00000000
χ4422-2-2-12-22-121-2-212-2-111-100-2-112i3i3−i3−i300−3−3330-11i3−i32-21-100i3i3−i3−i32i−2i0002i−2i−3300−i−iii0-11i3−i30000000−33−ii00000000
χ4522-2-2-12-22-121-2-21-22-111-100-2-112−i3−i3i3i30033−3−301-1i3−i3-221-100−i3−i3i3i3−2i2i0002i−2i3−300−i−iii01-1i3−i30000000−33i−i00000000
χ4622-2-2-12-22-121-2-21-22-111-100-2-112−i3−i3i3i300−3−33301-1i3−i3-221-100−i3−i3i3i32i−2i000−2i2i−3300ii−i−i01-1i3−i300000003−3−ii00000000
χ4722-2-2-12-22-121-2-21-22-111-100-2-112i3i3−i3−i30033−3−301-1−i3i3-221-100i3i3−i3−i32i−2i000−2i2i3−300ii−i−i01-1−i3i30000000−33−ii00000000
χ4822-2-2-12-22-121-2-21-22-111-100-2-112i3i3−i3−i300−3−33301-1−i3i3-221-100i3i3−i3−i3−2i2i0002i−2i−3300−i−iii01-1−i3i300000003−3i−i00000000
χ4944444-2-4-44-24-2-2400-2-2-2-2002-4-4200000000000000000220000000040-40000220000000000000-200000000000000
χ5044444-2-4-44-24-2-2400-2-2-2-2002-4-42000000000000000002200000000-4040000-2-20000000000000200000000000000
χ514444-24-4-4-24-244-200-2-2-2-200-422-4000044-2-2-2-2000000022000000000-400022000000000000000000000000000000
χ524444-24-4-4-24-244-200-2-2-2-200-422-40000-4-422220000000220000000004000-2-2000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-20000004-2-2-2-2-2-211-2-21111000000000000000-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-22222000000-4-2-222-2-21122-1-1-1-1000000000000000211-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-2000000-422222211-2-211110000000000000002-1-1-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-22222000000422-2-2221122-1-1-1-1000000000000000-2-1-1110000000000000000000
χ5744-4-4444-444-4-4-4-4004-4-44004-44-4000000000000000004-4000000000000000000000000000000000000000000000
χ5844-4-44-24-44-2-422-400-222-200-2-44200000000000000000-22000000000000000000000000000000023−23000000000000
χ5944-4-44-24-44-2-422-400-222-200-2-44200000000000000000-220000000000000000000000000000000−2323000000000000
χ6044-4-44-2-444-2-422-44-4-222-20024-4-2000000000004-400-222-20000000000000000000000-22000000000000000000000
χ6144-4-44-2-444-2-422-4-44-222-20024-4-200000000000-44002-22-200000000000000000000002-2000000000000000000000
χ6244-4-4-244-4-242-4-4200-222-20042-2-40000002323−23−230000000-220000000000000−2323000000000000000000000000000000
χ6344-4-4-244-4-242-4-4200-222-20042-2-4000000−23−2323230000000-22000000000000023−23000000000000000000000000000000
χ6444-4-4-2-2-44-2-222224-41-1-11002-22-2−2i3−2i32i32i30000000-22−2i32i3-22-1100i3i3−i3−i300000000000000001-1i3−i30000000000000000000
χ6544-4-4-2-2-44-2-222224-41-1-11002-22-22i32i3−2i3−2i30000000-222i3−2i3-22-1100−i3−i3i3i300000000000000001-1−i3i30000000000000000000
χ6644-4-4-2-2-44-2-22222-441-1-11002-22-2−2i3−2i32i32i300000002-22i3−2i32-2-1100i3i3−i3−i30000000000000000-11−i3i30000000000000000000
χ6744-4-4-2-2-44-2-22222-441-1-11002-22-22i32i3−2i3−2i300000002-2−2i32i32-2-1100−i3−i3i3i30000000000000000-11i3−i30000000000000000000
χ684-44-44400-4-4-44-440044-4-400000000004-44-44-4000000000000000000000000000000000000000000000000000000
χ694-44-44400-4-4-44-440044-4-40000000000-44-44-44000000000000000000000000000000000000000000000000000000
χ704-44-4-24002-424-4-200-2-222000000i6−i6i6−i64-4-22-2200000000000i6−i6i6−i600000000000i6−i6i6−i6000000000000000000000000
χ714-44-4-24002-424-4-200-2-222000000i6−i6i6−i6-442-22-200000000000i6−i6i6−i600000000000−i6i6−i6i6000000000000000000000000
χ724-44-4-24002-424-4-200-2-222000000−i6i6−i6i64-4-22-2200000000000−i6i6−i6i600000000000−i6i6−i6i6000000000000000000000000
χ734-44-4-24002-424-4-200-2-222000000−i6i6−i6i6-442-22-200000000000−i6i6−i6i600000000000i6−i6i6−i6000000000000000000000000
χ744-4-444400-4-44-44-4004-44-422−22000022−22−222200000000000000022−2222−22−2222000000000000000000000000000000000000000
χ754-4-444400-4-44-44-4004-44-4−22220000−222222−22000000000000000−2222−222222−22000000000000000000000000000000000000000
χ764-4-444-200-4242-2-400-22-2222−22000022−22−2222000000000000000−22−222−2000000000−2i32i300000000000000000000i6−i6000000
χ774-4-444-200-4242-2-400-22-2222−22000022−22−2222000000000000000−22−222−20000000002i3−2i300000000000000000000−i6i6000000
χ784-4-444-200-4242-2-400-22-22−22220000−222222−220000000000000002−22−2−22000000000−2i32i300000000000000000000−i6i6000000
χ794-4-444-200-4242-2-400-22-22−22220000−222222−220000000000000002−22−2−220000000002i3−2i300000000000000000000i6−i6000000
χ804-4-44-24002-4-2-44200-22-2222−220000−222−20023−23−232300000000022−22−222−2000000000006−6−66000000000000000000000000
χ814-4-44-24002-4-2-44200-22-2222−220000−222−200−232323−2300000000022−22−222−200000000000−666−6000000000000000000000000
χ824-4-44-24002-4-2-44200-22-22−222200002−2−220023−23−2323000000000−22222−2−2200000000000−666−6000000000000000000000000
χ834-4-44-24002-4-2-44200-22-22−222200002−2−2200−232323−23000000000−22222−2−22000000000006−6−66000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4-48-8-4-44444002-2-2200-44-44000000000000000002-2000000000000000000000000000000000000000000000
χ868-88-88-400-84-8-44800-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400444-44-40022-2-20000002i6−2i62i6−2i600000000000000000−i6i6−i6i6000000000000000000000000000000000000000
χ888-88-8-4-400444-44-40022-2-2000000−2i62i6−2i62i600000000000000000i6−i6i6−i6000000000000000000000000000000000000000
χ898-8-88-4-40044-44-44002-22-242−420000−222222−22000000000000000−22222−2−22000000000000000000000000000000000000000
χ908-8-88-4-40044-44-44002-22-2−4242000022−22−222200000000000000022−22−222−2000000000000000000000000000000000000000

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