Finite Group Databasebeta

← Group #11863952

Character table — Group #11863952

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order122222334444666666366666661212121212121212121212122466666666661212121212121212121222222222222266666666888824242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1
χ91111-1-111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-11-111-1-111-1-11-11-1
χ101111-1-111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111-1-1111-1-1-1-111-11-11
χ111111-1-111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-1-11111-1-1-11-11
χ121111-1-111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-11-11-1-111-1-1111-11-1
χ131111-1-111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-111-1-111-1-1-11-11-1-111-1-1111-1-11
χ141111-1-111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-111-111-1-1-11111-1-1-111-1
χ151111-1-111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-11111-1-11-1-1111-1-1-1-111-111-1
χ161111-1-111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-111-1-1111-11-111-1-111-1-11-1-11
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
χ192222222-1222222-1-12-1-122-1-1-1-1-12-122-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-100220000-1-1-1-10000
χ202222222-1222222-1-12-1-122-1-1-1-1-12-122-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-200000000111100-2-2000011110000
χ212222222-1222222-1-12-1-122-1-1-1-1-12-122-1-1-1-1-1-12-1-2-2-2-211-1-11111-2-211-1-111110000222200000000-1-1-1-100-2-2000011110000
χ222222222-1222222-1-12-1-122-1-1-1-1-12-122-1-1-1-1-1-12-1-2-2-2-211-1-11111-2-211-1-111110000-2-2-2-200000000111100220000-1-1-1-10000
χ23222222-122222-1-122-12-1-1-122-1-1-1-12-1-122-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1222200000000-1-1-1-100002200-1-1-1-100000000
χ24222222-122222-1-122-12-1-1-122-1-1-1-12-1-122-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000000011110000-2-200111100000000
χ25222222-122222-1-122-12-1-1-122-1-1-1-12-1-122-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-11111222200000000-1-1-1-10000-2-200111100000000
χ26222222-122222-1-122-12-1-1-122-1-1-1-12-1-122-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-11111-2-2-2-200000000111100002200-1-1-1-100000000
χ272222-2-22222-2-22222222-2-2-2-2222-2-222222222-2-2000000-2-200000000-2-200000000000022-2-200000000000000000000-2200
χ282222-2-22222-2-22222222-2-2-2-2222-2-222222222-2-2000000-2-200000000-2-2000000000000-2-222000000000000000000002-200
χ292222-2-22-1-2-22222-1-12-1-1-2-211-1-1-12-1-2-21111112-12-222-1-111-1-1-1-1-2-211-1-11111000022-2-200000000-1-111002-20000-1-1110000
χ302222-2-22-1-2-22222-1-12-1-1-2-211-1-1-12-1-2-21111112-12-222-1-111-1-1-1-1-2-211-1-111110000-2-2220000000011-1-100-22000011-1-10000
χ312222-2-22-1-2-22222-1-12-1-1-2-211-1-1-12-1-2-21111112-1-22-2-21111111122-1-1-1-1-1-1-1-1000022-2-200000000-1-11100-22000011-1-10000
χ322222-2-22-1-2-22222-1-12-1-1-2-211-1-1-12-1-2-21111112-1-22-2-21111111122-1-1-1-1-1-1-1-10000-2-2220000000011-1-1002-20000-1-1110000
χ332222-2-2-12-2-222-1-122-12-111-2-2-1-1-1-1211-2-21111-122-2-1-12211-1-1-1-111-2-2-1-1111122-2-200000000-1-11100002-200-1-11100000000
χ342222-2-2-12-2-222-1-122-12-111-2-2-1-1-1-1211-2-21111-122-2-1-12211-1-1-1-111-2-2-1-11111-2-2220000000011-1-10000-220011-1-100000000
χ352222-2-2-12-2-222-1-122-12-111-2-2-1-1-1-1211-2-21111-12-2211-2-2111111-1-122-1-1-1-1-1-122-2-200000000-1-1110000-220011-1-100000000
χ362222-2-2-12-2-222-1-122-12-111-2-2-1-1-1-1211-2-21111-12-2211-2-2111111-1-122-1-1-1-1-1-1-2-2220000000011-1-100002-200-1-11100000000
χ372-2-222-2222-22-2-2-2-2-22222-22-2-2-222-22-22-222-2-2-220000002-2000000002-2000000002-22-2000000002-22-20000000000000000
χ382-2-222-2222-22-2-2-2-2-22222-22-2-2-222-22-22-222-2-2-220000002-2000000002-200000000-22-2200000000-22-220000000000000000
χ392-2-222-222-22-22-2-2-2-22222-22-2-2-22-22-22-22-2-2222-20000002-200000000-2200002-22-2000000002-22-200000000000000000000
χ402-2-222-222-22-22-2-2-2-22222-22-2-2-22-22-22-22-2-2222-20000002-200000000-220000-22-2200000000-22-2200000000000000000000
χ412-2-222-22-12-22-2-2-2112-1-12-2-1111-1212-2-11-1-111-2-10000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i300002-22-200000000-11-1100000000−i3i3−i3i30000
χ422-2-222-22-12-22-2-2-2112-1-12-2-1111-1212-2-11-1-111-2-10000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i30000-22-22000000001-11-100000000i3−i3i3−i30000
χ432-2-222-22-12-22-2-2-2112-1-12-2-1111-1212-2-11-1-111-2-10000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i300002-22-200000000-11-1100000000i3−i3i3−i30000
χ442-2-222-22-12-22-2-2-2112-1-12-2-1111-1212-2-11-1-111-2-10000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i30000-22-22000000001-11-100000000−i3i3−i3i30000
χ452-2-222-2-12-22-2211-2-2-12-1-112-211-1121-1-2211-1-1-1-200−i3i300-11−i3i3−i3i3−i3i3001-1−i3i3−i3i32-22-200000000-11-1100000000−i3i3−i3i300000000
χ462-2-222-2-12-22-2211-2-2-12-1-112-211-1121-1-2211-1-1-1-200−i3i300-11−i3i3−i3i3−i3i3001-1−i3i3−i3i3-22-22000000001-11-100000000i3−i3i3−i300000000
χ472-2-222-2-12-22-2211-2-2-12-1-112-211-1121-1-2211-1-1-1-200i3−i300-11i3−i3i3−i3i3−i3001-1i3−i3i3−i32-22-200000000-11-1100000000i3−i3i3−i300000000
χ482-2-222-2-12-22-2211-2-2-12-1-112-211-1121-1-2211-1-1-1-200i3−i300-11i3−i3i3−i3i3−i3001-1i3−i3i3−i3-22-22000000001-11-100000000−i3i3−i3i300000000
χ492-2-22-22222-2-22-2-2-2-2222-22-22-2-22-222-22-222-2-22-2000000-2200000000-2200002-2-22000000002-2-2200000000000000000000
χ502-2-22-22222-2-22-2-2-2-2222-22-22-2-22-222-22-222-2-22-2000000-2200000000-220000-222-200000000-222-200000000000000000000
χ512-2-22-2222-222-2-2-2-2-2222-22-22-2-222-2-22-22-2-222-22000000-22000000002-2000000002-2-22000000002-2-220000000000000000
χ522-2-22-2222-222-2-2-2-2-2222-22-22-2-222-2-22-22-2-222-22000000-22000000002-200000000-222-200000000-222-20000000000000000
χ532-2-22-222-1-222-2-2-2112-1-1-221-111-121-221-111-1-1-2-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i300002-2-2200000000-111-100000000−i3i3i3−i30000
χ542-2-22-222-1-222-2-2-2112-1-1-221-111-121-221-111-1-1-2-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i30000-222-2000000001-1-1100000000i3−i3−i3i30000
χ552-2-22-222-1-222-2-2-2112-1-1-221-111-121-221-111-1-1-2-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i300002-2-2200000000-111-100000000i3−i3−i3i30000
χ562-2-22-222-1-222-2-2-2112-1-1-221-111-121-221-111-1-1-2-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i30000-222-2000000001-1-1100000000−i3i3i3−i30000
χ572-2-22-22-122-2-2211-2-2-12-11-1-2211-112-112-2-1-111-1-200−i3i3001-1−i3i3−i3i3i3−i3001-1i3−i3i3−i32-2-2200000000-111-100000000−i3i3i3−i300000000
χ582-2-22-22-122-2-2211-2-2-12-11-1-2211-112-112-2-1-111-1-200−i3i3001-1−i3i3−i3i3i3−i3001-1i3−i3i3−i3-222-2000000001-1-1100000000i3−i3−i3i300000000
χ592-2-22-22-122-2-2211-2-2-12-11-1-2211-112-112-2-1-111-1-200i3−i3001-1i3−i3i3−i3−i3i3001-1−i3i3−i3i32-2-2200000000-111-100000000i3−i3−i3i300000000
χ602-2-22-22-122-2-2211-2-2-12-11-1-2211-112-112-2-1-111-1-200i3−i3001-1i3−i3i3−i3−i3i3001-1−i3i3−i3i3-222-2000000001-1-1100000000−i3i3i3−i300000000
χ614444444-2-4-4-4-444-2-24-2-244-2-2-2-2-2-42-4-4222222-42000000-2-200000000220000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-244-24-2-2-244-2-2-22-422-4-422222-4000000-2-200000000220000000000000000000000000000000000000000
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
χ674444-4-44-244-4-444-2-24-2-2-4-422-2-2-2-4244-2-2-2-2-2-2-420000002200000000220000000000000000000000000000000000000000
χ684444-4-4-2444-4-4-2-244-24-222-4-4-2-2-22-4-2-244-2-2-2-22-40000002200000000220000000000000000000000000000000000000000
χ694444-4-4-2-244-4-4-2-2-2-2-2-21222211122-2-2-2-2111122000000-1-13-3-330000-1-1-333-3000000000000000000000000000000000000
χ704444-4-4-2-244-4-4-2-2-2-2-2-21222211122-2-2-2-2111122000000-1-1-333-30000-1-13-3-33000000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-2-2-2-2-212222111-2-22222-1-1-1-1-2-24-4-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000000000
χ724444-4-4-2-2-4-444-2-2-2-2-2-212222111-2-22222-1-1-1-1-2-2-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000
χ7344-4-4004400004-44-4-4-4400004-4-4000000000000000000000000000000000000000000004-4000000000000000000000000
χ7444-4-4004400004-44-4-4-4400004-4-400000000000000000000000000000000000000000000-44000000000000000000000000
χ754-44-400440000-44-44-4-440000-44-40000000000000000000000000000000000000000004-400000000000000000000000000
χ764-44-400440000-44-44-4-440000-44-4000000000000000000000000000000000000000000-4400000000000000000000000000
χ774-4-444-44-2-44-44-4-4224-2-24-4-2222-2-4-2-442-222-2-242000000-22000000002-20000000000000000000000000000000000000000
χ784-4-444-4-244-44-422-4-4-24-2-224-422-2-2-4-224-4-2-22224000000-2200000000-220000000000000000000000000000000000000000
χ794-4-444-4-2-24-44-42222-2-21-22-22-1-11-22-22-2211-1-12-20000−2i32i31-1i3i3−i3−i300−2i32i31-1i3i3−i3−i3000000000000000000000000000000000000
χ804-4-444-4-2-24-44-42222-2-21-22-22-1-11-22-22-2211-1-12-200002i3−2i31-1−i3−i3i3i3002i3−2i31-1−i3−i3i3i3000000000000000000000000000000000000
χ814-4-444-4-2-2-44-442222-2-21-22-22-1-112-22-22-2-1-111-2200−2i32i3001-1i3−i3i3−i3−2i32i300-11i3−i3i3−i3000000000000000000000000000000000000
χ824-4-444-4-2-2-44-442222-2-21-22-22-1-112-22-22-2-1-111-22002i3−2i3001-1−i3i3−i3i32i3−2i300-11−i3i3−i3i3000000000000000000000000000000000000
χ834-4-44-444-24-4-44-4-4224-2-2-442-222-2-4-24-4-22-2-222420000002-2000000002-20000000000000000000000000000000000000000
χ844-4-44-44-24-444-422-4-4-24-22-2-4422-2-2-42-2-4422-2-2240000002-200000000-220000000000000000000000000000000000000000
χ854-4-44-44-2-24-4-442222-2-212-22-2-1-112-2-22-2211-1-1-2200−2i32i300-11i3−i3i3−i32i3−2i300-11−i3i3−i3i3000000000000000000000000000000000000
χ864-4-44-44-2-24-4-442222-2-212-22-2-1-112-2-22-2211-1-1-22002i3−2i300-11−i3i3−i3i3−2i32i300-11i3−i3i3−i3000000000000000000000000000000000000
χ874-4-44-44-2-2-444-42222-2-212-22-2-1-11-222-22-2-1-1112-20000−2i32i3-11i3i3−i3−i3002i3−2i31-1−i3−i3i3i3000000000000000000000000000000000000
χ884-4-44-44-2-2-444-42222-2-212-22-2-1-11-222-22-2-1-1112-200002i3−2i3-11−i3−i3i3i300−2i32i31-1i3i3−i3−i3000000000000000000000000000000000000
χ8988-8-8008-400008-8-44-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-448-84-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-44-4444200002-2-20000006i−6i6i−6i000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-4444200002-2-2000000−6i6i−6i6i000000000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-884-4-84-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-4-884-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-44-44420000-22-20000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-44-44420000-22-2000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000000

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