Finite Group Databasebeta

← Group #11793898

Character table — Group #11793898

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1222223344446666663666666612121212121212121212121224666666666612121212121212121212224466668888121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ922222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000000000000000000000002i−2i
χ1022222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000000000000000000000000000−2i2i
χ112222222-122222-1-12-12-122-1-1-1-1-1222-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12200-1-1-1-122000000-1-1-1-10000000000
χ122222222-122222-1-12-12-122-1-1-1-1-1222-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2001111-2-200000011110000000000
χ132222222-122222-1-12-12-122-1-1-1-1-1222-1-1-1-1-1-1-12-1-2-2-2-211-1-11111-2-211-1-111112200-1-1-1-1-2-200000011110000000000
χ142222222-122222-1-12-12-122-1-1-1-1-1222-1-1-1-1-1-1-12-1-2-2-2-211-1-11111-2-211-1-11111-2-200111122000000-1-1-1-10000000000
χ15222222-122222-122-12-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1002200000022-1-1-1-10000-1-1-1-1000000
χ16222222-122222-122-12-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-2000000-2-2111100001111000000
χ17222222-122222-122-12-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-111110022000000-2-2-1-1-1-100001111000000
χ18222222-122222-122-12-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-1111100-2-20000002211110000-1-1-1-1000000
χ192222-2-22222-2-22222222-2-2-2-22222-2-22-2-2-2-2-2-2222-22222-2-22222-2-2-2-222-2-2-2-2000000000000000000000000000000
χ202222-2-22222-2-22222222-2-2-2-22222-2-22-2-2-2-2-2-222-22-2-2-2-2-2-2-2-2-2-22222222222000000000000000000000000000000
χ212222-2-222-2-2222222222-2-2-2-2222-222-2222222-2-2000000-2-200000000-2-2000000000000000000000000000022-2-200
χ222222-2-222-2-2222222222-2-2-2-2222-222-2222222-2-2000000-2-200000000-2-20000000000000000000000000000-2-22200
χ232222-2-22-122-2-22-1-12-12-1-2-211-1-1-12-2-2-11111112-12-222-1-111-1-1-1-1-2-211-1-111110000−i3−i3i3i300000000−i3−i3i3i30000000000
χ242222-2-22-122-2-22-1-12-12-1-2-211-1-1-12-2-2-11111112-12-222-1-111-1-1-1-1-2-211-1-111110000i3i3−i3−i300000000i3i3−i3−i30000000000
χ252222-2-22-122-2-22-1-12-12-1-2-211-1-1-12-2-2-11111112-1-22-2-21111111122-1-1-1-1-1-1-1-10000−i3−i3i3i300000000i3i3−i3−i30000000000
χ262222-2-22-122-2-22-1-12-12-1-2-211-1-1-12-2-2-11111112-1-22-2-21111111122-1-1-1-1-1-1-1-10000i3i3−i3−i300000000−i3−i3i3i30000000000
χ272222-2-2-1222-2-2-122-12-1-111-2-2-1-1-1-1112-2-21111-122-2-1-12211-1-1-1-111-2-2-1-11111000000000000−i3−i3i3i30000−i3−i3i3i3000000
χ282222-2-2-1222-2-2-122-12-1-111-2-2-1-1-1-1112-2-21111-122-2-1-12211-1-1-1-111-2-2-1-11111000000000000i3i3−i3−i30000i3i3−i3−i3000000
χ292222-2-2-1222-2-2-122-12-1-111-2-2-1-1-1-1112-2-21111-12-2211-2-2111111-1-122-1-1-1-1-1-1000000000000−i3−i3i3i30000i3i3−i3−i3000000
χ302222-2-2-1222-2-2-122-12-1-111-2-2-1-1-1-1112-2-21111-12-2211-2-2111111-1-122-1-1-1-1-1-1000000000000i3i3−i3−i30000−i3−i3i3i3000000
χ312-22-22-2222-22-2-2-2-222-222-22-2-2-2222-222-222-2-2-2-20000002-2000000002-2000000000000002i−2i000000002i−2i2i−2i000000
χ322-22-22-2222-22-2-2-2-222-222-22-2-2-2222-222-222-2-2-2-20000002-2000000002-200000000000000−2i2i00000000−2i2i−2i2i000000
χ332-22-22-222-22-22-2-2-222-222-22-2-2-22-2-22-2-22-2-222220000002-200000000-2200002-2002-22-20000000000000000000000
χ342-22-22-222-22-22-2-2-222-222-22-2-2-22-2-22-2-22-2-222220000002-200000000-220000-2200-22-220000000000000000000000
χ352-22-22-22-1-22-22-2112-1-2-12-2-1111-1-2-2211-111-1-12-10000−i3i3-11−i3−i3i3i300−i3i31-1−i3−i3i3i32-200-11-1100000000−i3i3−i3i30000000000
χ362-22-22-22-1-22-22-2112-1-2-12-2-1111-1-2-2211-111-1-12-10000−i3i3-11−i3−i3i3i300−i3i31-1−i3−i3i3i3-22001-11-100000000i3−i3i3−i30000000000
χ372-22-22-22-1-22-22-2112-1-2-12-2-1111-1-2-2211-111-1-12-10000i3−i3-11i3i3−i3−i300i3−i31-1i3i3−i3−i32-200-11-1100000000i3−i3i3−i30000000000
χ382-22-22-22-1-22-22-2112-1-2-12-2-1111-1-2-2211-111-1-12-10000i3−i3-11i3i3−i3−i300i3−i31-1i3i3−i3−i3-22001-11-100000000−i3i3−i3i30000000000
χ392-22-22-2-122-22-21-2-2-121-1-112-211-1-1-1122-2-1-1111-200−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i300000000002i−2i3−33−30000−ii−ii000000
χ402-22-22-2-122-22-21-2-2-121-1-112-211-1-1-1122-2-1-1111-200−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i30000000000−2i2i−33−330000i−ii−i000000
χ412-22-22-2-122-22-21-2-2-121-1-112-211-1-1-1122-2-1-1111-200i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i300000000002i−2i−33−330000−ii−ii000000
χ422-22-22-2-122-22-21-2-2-121-1-112-211-1-1-1122-2-1-1111-200i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i30000000000−2i2i3−33−30000i−ii−i000000
χ432-22-2-22222-2-22-2-2-222-22-22-22-2-222-222-22-2-222-2-2000000-22000000002-20000002i−2i000000002i−2i−2i2i00000000000000
χ442-22-2-22222-2-22-2-2-222-22-22-22-2-222-222-22-2-222-2-2000000-22000000002-2000000−2i2i00000000−2i2i2i−2i00000000000000
χ452-22-2-2222-222-2-2-2-222-22-22-22-2-22-22-2-22-222-2-222000000-2200000000-220000000000002-20000002-2-220000000000
χ462-22-2-2222-222-2-2-2-222-22-22-22-2-22-22-2-22-222-2-222000000-2200000000-22000000000000-22000000-222-20000000000
χ472-22-2-222-1-222-2-2112-1-2-1-221-111-1-22-21-11-1-1112-10000−i3i31-1−i3−i3i3i300i3−i31-1i3i3−i3−i30000−i3i3i3−i32-2000000-111-10000000000
χ482-22-2-222-1-222-2-2112-1-2-1-221-111-1-22-21-11-1-1112-10000−i3i31-1−i3−i3i3i300i3−i31-1i3i3−i3−i30000i3−i3−i3i3-220000001-1-110000000000
χ492-22-2-222-1-222-2-2112-1-2-1-221-111-1-22-21-11-1-1112-10000i3−i31-1i3i3−i3−i300−i3i31-1−i3−i3i3i30000−i3i3i3−i3-220000001-1-110000000000
χ502-22-2-222-1-222-2-2112-1-2-1-221-111-1-22-21-11-1-1112-10000i3−i31-1i3i3−i3−i300−i3i31-1−i3−i3i3i30000i3−i3−i3i32-2000000-111-10000000000
χ512-22-2-22-122-2-221-2-2-121-11-1-2211-1-11-12-2211-1-11-200−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i3002i−2i00000000−iii−i00003−3−33000000
χ522-22-2-22-122-2-221-2-2-121-11-1-2211-1-11-12-2211-1-11-200−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i300−2i2i00000000i−i−ii0000−333−3000000
χ532-22-2-22-122-2-221-2-2-121-11-1-2211-1-11-12-2211-1-11-200i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i3002i−2i00000000−iii−i0000−333−3000000
χ542-22-2-22-122-2-221-2-2-121-11-1-2211-1-11-12-2211-1-11-200i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i300−2i2i00000000i−i−ii00003−3−33000000
χ554444444-2-4-4-4-44-2-24-24-244-2-2-2-2-2-4-4-42222222-42000000-2-200000000220000000000000000000000000000000000
χ56444444-24-4-4-4-4-244-24-2-2-2-244-2-2-2222-4-4-422222-4000000-2-200000000220000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-2-244-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-2-2-4-4222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222-1-1-1-122000000113-3-330000-1-13-3-33000000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222-1-1-1-12200000011-333-30000-1-1-333-3000000000000000000000000000000
χ614444-4-44-2-4-4444-2-24-24-2-4-422-2-2-2-4442-2-2-2-2-2-2-420000002200000000220000000000000000000000000000000000
χ624444-4-4-24-4-444-244-24-2-222-4-4-2-2-22-2-2-444-2-2-2-22-40000002200000000220000000000000000000000000000000000
χ634444-4-4-2-244-4-4-2-2-2-2-2-212222111-222-222-1-1-1-1-2-24-4-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000
χ644444-4-4-2-244-4-4-2-2-2-2-2-212222111-222-222-1-1-1-1-2-2-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000
χ654444-4-4-2-2-4-444-2-2-2-2-2-2122221112-2-22-2-2111122000000-1-13-3-330000-1-1-333-3000000000000000000000000000000
χ664444-4-4-2-2-4-444-2-2-2-2-2-2122221112-2-22-2-2111122000000-1-1-333-30000-1-13-3-33000000000000000000000000000000
χ6744-4-40044000044-4-4-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6844-4-40044000044-4-4-4-4400004-4-40000000000000000000000000000000000000000000000000000000000002i2−2i200
χ694-44-44-44-24-44-4-4224-2-4-24-4-2222-244-4-2-22-2-222-42000000-2200000000-220000000000000000000000000000000000
χ704-44-44-4-24-44-442-4-4-242-2-224-422-222-2-4-4422-2-2-24000000-22000000002-20000000000000000000000000000000000
χ714-44-44-4-2-24-44-4222-2-221-22-22-1-11-2-22-2-2211-1-12200−2i32i3001-1i3−i3i3−i3−2i32i3001-1i3−i3i3−i3000000000000000000000000000000
χ724-44-44-4-2-24-44-4222-2-221-22-22-1-11-2-22-2-2211-1-122002i3−2i3001-1−i3i3−i3i32i3−2i3001-1−i3i3−i3i3000000000000000000000000000000
χ734-44-44-4-2-2-44-44222-2-221-22-22-1-1122-222-2-1-111-2-20000−2i32i31-1i3i3−i3−i300−2i32i3-11i3i3−i3−i3000000000000000000000000000000
χ744-44-44-4-2-2-44-44222-2-221-22-22-1-1122-222-2-1-111-2-200002i3−2i31-1−i3−i3i3i3002i3−2i3-11−i3−i3i3i3000000000000000000000000000000
χ754-44-4-444-24-4-44-4224-2-4-2-442-222-24-44-22-222-2-2-420000002-200000000-220000000000000000000000000000000000
χ764-44-4-44-24-444-42-4-4-242-22-2-4422-22-22-44-4-2-222-240000002-2000000002-20000000000000000000000000000000000
χ774-44-4-44-2-24-4-44222-2-2212-22-2-1-11-22-2-22-2-1-1112200−2i32i300-11i3−i3i3−i32i3−2i3001-1−i3i3−i3i3000000000000000000000000000000
χ784-44-4-44-2-24-4-44222-2-2212-22-2-1-11-22-2-22-2-1-11122002i3−2i300-11−i3i3−i3i3−2i32i3001-1i3−i3i3−i3000000000000000000000000000000
χ794-44-4-44-2-2-444-4222-2-2212-22-2-1-112-222-2211-1-1-2-20000−2i32i3-11i3i3−i3−i3002i3−2i3-11−i3−i3i3i3000000000000000000000000000000
χ804-44-4-44-2-2-444-4222-2-2212-22-2-1-112-222-2211-1-1-2-200002i3−2i3-11−i3−i3i3i300−2i32i3-11i3i3−i3−i3000000000000000000000000000000
χ814-4-4400440000-4-44-4-4440000-44-4000000000000000000000000000000000000000000000000000000000022−220000
χ824-4-4400440000-4-44-4-4440000-44-40000000000000000000000000000000000000000000000000000000000−22220000
χ8388-8-8008-400008-44-84-8-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-480000-48-84-84-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-40000-4-44444200002-2-20000006i−6i6i−6i000000000000000000000000000000000000000000000000000000
χ8688-8-800-4-40000-4-44444200002-2-2000000−6i6i−6i6i000000000000000000000000000000000000000000000000000000
χ878-8-88008-40000-84-4-848-400004-440000000000000000000000000000000000000000000000000000000000000000
χ888-8-8800-4800004-884-8-4-400004-440000000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-4000044-444-420000-22-20000006i−6i−6i6i000000000000000000000000000000000000000000000000000000
χ908-8-8800-4-4000044-444-420000-22-2000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000

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