Finite Group Databasebeta

← Group #11865870

Character table — Group #11865870

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order1222223344446666663666666612121212121212121212121224666666666612121212121212121212222244444444666688881212121224242424242424244424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1
χ91111-1-1111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-11-11-111-1-111-1-111-1-11-11-1
χ101111-1-1111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-11-1-11-1-11111-1-1-1-111-11-11
χ111111-1-1111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-111-111-1-1-1-11111-1-1-11-11
χ121111-1-1111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-11-11-1-111-1-111-1-1111-11-1
χ131111-1-1111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-111-1-1-11-1111-1-1-1-111-1-1111-1-11
χ141111-1-1111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-111-1-1-111-1-11111-1-1-111-1
χ151111-1-1111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1111-1-1111-1-111-1-1-1-111-111-1
χ161111-1-1111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1111-11-1-1-11111-1-111-1-11-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000222200000000000000000000-2-200
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000-2-2-2-2000000000000000000002200
χ192222222-122222-1-12-12-122-1-1-1-1-12-122-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200000000-1-1-1-122000000-1-1-1-100000000
χ202222222-122222-1-12-12-122-1-1-1-1-12-122-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000001111-2-2000000111100000000
χ212222222-122222-1-12-12-122-1-1-1-1-12-122-1-1-1-1-1-12-1-2-2-2-211-1-11111-2-211-1-11111222200000000-1-1-1-1-2-2000000111100000000
χ222222222-122222-1-12-12-122-1-1-1-1-12-122-1-1-1-1-1-12-1-2-2-2-211-1-11111-2-211-1-11111-2-2-2-200000000111122000000-1-1-1-100000000
χ23222222-122222-122-12-1-1-1-122-1-1-1-12-1-122-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100002222000000000022-1-1-1-10000-1-1-1-10000
χ24222222-122222-122-12-1-1-1-122-1-1-1-12-1-122-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-20000000000-2-21111000011110000
χ25222222-122222-122-12-1-1-1-122-1-1-1-12-1-122-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-11111000022220000000000-2-2-1-1-1-1000011110000
χ26222222-122222-122-12-1-1-1-122-1-1-1-12-1-122-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-111110000-2-2-2-200000000002211110000-1-1-1-10000
χ272222-2-222-222-22222222-2-2-2-2222-2-222222222-2-2000000-2-200000000-2-200000000000022-2-200000000000000000000-2200
χ282222-2-222-222-22222222-2-2-2-2222-2-222222222-2-2000000-2-200000000-2-2000000000000-2-222000000000000000000002-200
χ292222-2-22-12-2-222-1-12-12-1-2-211-1-1-12-1-2-21111112-12-222-1-111-1-1-1-1-2-211-1-1111122-2-200000000-1-1112-2000000-1-11100000000
χ302222-2-22-12-2-222-1-12-12-1-2-211-1-1-12-1-2-21111112-12-222-1-111-1-1-1-1-2-211-1-11111-2-2220000000011-1-1-2200000011-1-100000000
χ312222-2-22-12-2-222-1-12-12-1-2-211-1-1-12-1-2-21111112-1-22-2-21111111122-1-1-1-1-1-1-1-122-2-200000000-1-111-2200000011-1-100000000
χ322222-2-22-12-2-222-1-12-12-1-2-211-1-1-12-1-2-21111112-1-22-2-21111111122-1-1-1-1-1-1-1-1-2-2220000000011-1-12-2000000-1-11100000000
χ332222-2-2-122-2-22-122-12-1-111-2-2-1-1-1-1211-2-21111-122-2-1-12211-1-1-1-111-2-2-1-11111000022-2-200000000002-2-1-1110000-1-1110000
χ342222-2-2-122-2-22-122-12-1-111-2-2-1-1-1-1211-2-21111-122-2-1-12211-1-1-1-111-2-2-1-111110000-2-2220000000000-2211-1-1000011-1-10000
χ352222-2-2-122-2-22-122-12-1-111-2-2-1-1-1-1211-2-21111-12-2211-2-2111111-1-122-1-1-1-1-1-1000022-2-20000000000-22-1-111000011-1-10000
χ362222-2-2-122-2-22-122-12-1-111-2-2-1-1-1-1211-2-21111-12-2211-2-2111111-1-122-1-1-1-1-1-10000-2-22200000000002-211-1-10000-1-1110000
χ372-22-22-22222-2-2-2-2-222-222-22-2-2-22222-22-222-2-2-2-20000002-2000000002-2000000002i−2i2i−2i0000000000002i−2i2i−2i000000000000
χ382-22-22-22222-2-2-2-2-222-222-22-2-2-22222-22-222-2-2-2-20000002-2000000002-200000000−2i2i−2i2i000000000000−2i2i−2i2i000000000000
χ392-22-22-222-2-222-2-2-222-222-22-2-2-22-2-2-22-22-2-222220000002-200000000-2200002-22-2000000002-22-200000000000000000000
χ402-22-22-222-2-222-2-2-222-222-22-2-2-22-2-2-22-22-2-222220000002-200000000-220000-22-2200000000-22-2200000000000000000000
χ412-22-22-22-1-2-222-2112-1-2-12-2-1111-1-21-221-111-1-12-10000−i3i3-11−i3−i3i3i300−i3i31-1−i3−i3i3i32-22-200000000-11-1100000000−i3i3−i3i300000000
χ422-22-22-22-1-2-222-2112-1-2-12-2-1111-1-21-221-111-1-12-10000−i3i3-11−i3−i3i3i300−i3i31-1−i3−i3i3i3-22-22000000001-11-100000000i3−i3i3−i300000000
χ432-22-22-22-1-2-222-2112-1-2-12-2-1111-1-21-221-111-1-12-10000i3−i3-11i3i3−i3−i300i3−i31-1i3i3−i3−i32-22-200000000-11-1100000000i3−i3i3−i300000000
χ442-22-22-22-1-2-222-2112-1-2-12-2-1111-1-21-221-111-1-12-10000i3−i3-11i3i3−i3−i300i3−i31-1i3i3−i3−i3-22-22000000001-11-100000000−i3i3−i3i300000000
χ452-22-22-2-1222-2-21-2-2-121-1-112-211-1-12-112-2-1-1111-200−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i300002i−2i2i−2i000000000000−ii−ii00003−33−30000
χ462-22-22-2-1222-2-21-2-2-121-1-112-211-1-12-112-2-1-1111-200−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i30000−2i2i−2i2i000000000000i−ii−i0000−33−330000
χ472-22-22-2-1222-2-21-2-2-121-1-112-211-1-12-112-2-1-1111-200i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i300002i−2i2i−2i000000000000−ii−ii0000−33−330000
χ482-22-22-2-1222-2-21-2-2-121-1-112-211-1-12-112-2-1-1111-200i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i30000−2i2i−2i2i000000000000i−ii−i00003−33−30000
χ492-22-2-22222-22-2-2-2-222-22-22-22-2-2222-22-22-2-222-2-2000000-22000000002-2000000002i−2i−2i2i0000000000002i−2i−2i2i000000000000
χ502-22-2-22222-22-2-2-2-222-22-22-22-2-2222-22-22-2-222-2-2000000-22000000002-200000000−2i2i2i−2i000000000000−2i2i2i−2i000000000000
χ512-22-2-2222-22-22-2-2-222-22-22-22-2-22-2-22-22-222-2-222000000-2200000000-2200002-2-22000000002-2-2200000000000000000000
χ522-22-2-2222-22-22-2-2-222-22-22-22-2-22-2-22-22-222-2-222000000-2200000000-220000-222-200000000-222-200000000000000000000
χ532-22-2-222-1-22-22-2112-1-2-1-221-111-1-212-2-11-1-1112-10000−i3i31-1−i3−i3i3i300i3−i31-1i3i3−i3−i32-2-2200000000-111-100000000−i3i3i3−i300000000
χ542-22-2-222-1-22-22-2112-1-2-1-221-111-1-212-2-11-1-1112-10000−i3i31-1−i3−i3i3i300i3−i31-1i3i3−i3−i3-222-2000000001-1-1100000000i3−i3−i3i300000000
χ552-22-2-222-1-22-22-2112-1-2-1-221-111-1-212-2-11-1-1112-10000i3−i31-1i3i3−i3−i300−i3i31-1−i3−i3i3i32-2-2200000000-111-100000000i3−i3−i3i300000000
χ562-22-2-222-1-22-22-2112-1-2-1-221-111-1-212-2-11-1-1112-10000i3−i31-1i3i3−i3−i300−i3i31-1−i3−i3i3i3-222-2000000001-1-1100000000−i3i3i3−i300000000
χ572-22-2-22-122-22-21-2-2-121-11-1-2211-1-121-1-2211-1-11-200−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i300002i−2i−2i2i000000000000−iii−i00003−3−330000
χ582-22-2-22-122-22-21-2-2-121-11-1-2211-1-121-1-2211-1-11-200−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i30000−2i2i2i−2i000000000000i−i−ii0000−333−30000
χ592-22-2-22-122-22-21-2-2-121-11-1-2211-1-121-1-2211-1-11-200i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i300002i−2i−2i2i000000000000−iii−i0000−333−30000
χ602-22-2-22-122-22-21-2-2-121-11-1-2211-1-121-1-2211-1-11-200i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i30000−2i2i2i−2i000000000000i−i−ii00003−3−330000
χ614444444-2-4-4-4-44-2-24-24-244-2-2-2-2-2-42-4-4222222-42000000-2-200000000220000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-244-24-2-2-2-244-2-2-22-422-4-422222-4000000-2-200000000220000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-2-244-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-2-2-4-4222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222-1-1-1-122000000113-3-330000-1-13-3-33000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222-1-1-1-12200000011-333-30000-1-1-333-3000000000000000000000000000000000000
χ674444-4-44-2-444-44-2-24-24-2-4-422-2-2-2-4244-2-2-2-2-2-2-420000002200000000220000000000000000000000000000000000000000
χ684444-4-4-24-444-4-244-24-2-222-4-4-2-2-22-4-2-244-2-2-2-22-40000002200000000220000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-212222111-2-22222-1-1-1-1-2-24-4-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-212222111-2-22222-1-1-1-1-2-2-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-21222211122-2-2-2-2111122000000-1-13-3-330000-1-1-333-3000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-21222211122-2-2-2-2111122000000-1-1-333-30000-1-13-3-33000000000000000000000000000000000000
χ7344-4-40044000044-4-4-4-4400004-4-4000000000000000000000000000000000000000000004i−4i000000000000000000000000
χ7444-4-40044000044-4-4-4-4400004-4-400000000000000000000000000000000000000000000−4i4i000000000000000000000000
χ754-44-44-44-244-4-4-4224-2-4-24-4-2222-24-24-4-22-2-222-42000000-2200000000-220000000000000000000000000000000000000000
χ764-44-44-4-24-4-4442-4-4-242-2-224-422-22-42-2-4422-2-2-24000000-22000000002-20000000000000000000000000000000000000000
χ774-44-44-4-2-244-4-4222-2-221-22-22-1-11-2-2-22-2211-1-12200−2i32i3001-1i3−i3i3−i3−2i32i3001-1i3−i3i3−i3000000000000000000000000000000000000
χ784-44-44-4-2-244-4-4222-2-221-22-22-1-11-2-2-22-2211-1-122002i3−2i3001-1−i3i3−i3i32i3−2i3001-1−i3i3−i3i3000000000000000000000000000000000000
χ794-44-44-4-2-2-4-444222-2-221-22-22-1-11222-22-2-1-111-2-20000−2i32i31-1i3i3−i3−i300−2i32i3-11i3i3−i3−i3000000000000000000000000000000000000
χ804-44-44-4-2-2-4-444222-2-221-22-22-1-11222-22-2-1-111-2-200002i3−2i31-1−i3−i3i3i3002i3−2i3-11−i3−i3i3i3000000000000000000000000000000000000
χ814-44-4-444-24-44-4-4224-2-4-2-442-222-24-2-442-222-2-2-420000002-200000000-220000000000000000000000000000000000000000
χ824-44-4-44-24-44-442-4-4-242-22-2-4422-22-4-224-4-2-222-240000002-2000000002-20000000000000000000000000000000000000000
χ834-44-4-44-2-24-44-4222-2-2212-22-2-1-11-2-22-22-2-1-1112200−2i32i300-11i3−i3i3−i32i3−2i3001-1−i3i3−i3i3000000000000000000000000000000000000
χ844-44-4-44-2-24-44-4222-2-2212-22-2-1-11-2-22-22-2-1-11122002i3−2i300-11−i3i3−i3i3−2i32i3001-1i3−i3i3−i3000000000000000000000000000000000000
χ854-44-4-44-2-2-44-44222-2-2212-22-2-1-1122-22-2211-1-1-2-20000−2i32i3-11i3i3−i3−i3002i3−2i3-11−i3−i3i3i3000000000000000000000000000000000000
χ864-44-4-44-2-2-44-44222-2-2212-22-2-1-1122-22-2211-1-1-2-200002i3−2i3-11−i3−i3i3i300−2i32i3-11i3i3−i3−i3000000000000000000000000000000000000
χ874-4-4400440000-4-44-4-4440000-44-40000000000000000000000000000000000000000004-400000000000000000000000000
χ884-4-4400440000-4-44-4-4440000-44-4000000000000000000000000000000000000000000-4400000000000000000000000000
χ8988-8-8008-400008-44-84-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-48-84-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-4-44444200002-2-20000006i−6i6i−6i000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4-44444200002-2-2000000−6i6i−6i6i000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-84-4-848-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-884-8-4-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-4000044-444-420000-22-20000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044-444-420000-22-2000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000000

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