Finite Group Databasebeta

← Group #11884122

Character table — Group #11884122

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order122233446666662223466666666612121212121212121212121222466666666612121212121212121212444446688121224466812121212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-1-1-111-1-111-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111-11-1-1-1111111111-1-11-1-1-1-1-1-1111-111-11111-1-1-1-1-1-111-1-1-1-1-1-11111111-1-11-1-111-1-11-1-111-1-111-1-111-11-1
χ61111111111111111-11-1-1-1111111111-1-11-1-1-1-1-1-1111-111-11111-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-11-11111-11-1-1-1-111-1-111-1-11-11
χ71111111111111111-11-1-1-1111111111-1-11-1-1-1-1-1-11-1-1-111-11111-1-1-1-1-1-111-1-1-1-111-111-1-11111-11-1-1-1-11-11111-1-111-1-1-1-11-11
χ81111111111111111-11-1-1-1111111111-1-11-1-1-1-1-1-11-1-1-111-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-111-1-111-111-1-111-1-11111-11-1
χ911111111111111-1-111111-1-1-1-111111111111111111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11111111-1-111-1-11-1-1-111-1-11111-1-1-1-1-1-111-1
χ1011111111111111-1-111111-1-1-1-111111111111111111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-1-1111-1-1-1-1-1-1111111-1-11
χ1111111111111111-1-111111-1-1-1-1111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1111111-1-1-1-111-1-11
χ1211111111111111-1-111111-1-1-1-1111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1111-1-111-1-1-1-11111-1-111-1
χ1311111111111111-1-1-11-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111-1-111111-1-1-1-1-11-1-1-11-111111-1-1-1-111-1-1-111
χ1411111111111111-1-1-11-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111-1-11-1-11111-1-1-111-1-1-1-1111-1-11111-1-1111-1-1
χ1511111111111111-1-1-11-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1111-1-11111-1-1-111-1-1-1-111111-1-1
χ1611111111111111-1-1-11-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111111-1111-11-1-1-1-1-11111-1-1-1-1-111
χ17222222-2-22222220022-2220000222-2-2-2-2-2-2-2-2-2-2-2-22200020000220000-2-200002-2-2002200-2-20000002-2000000000000000
χ18222222-2-22222220022-2220000222-2-2-2-2-2-2-2-2-2-2-2-2-2-200020000220000-2-20000-22200-2-20022000000-22000000000000000
χ19222222-2-222222200-222-2-20000222-2-222-2222222-222000-20000-2-20000-2-20000-22-200220022000000-2-2000000000000000
χ20222222-2-222222200-222-2-20000222-2-222-2222222-2-2-2000-20000-2-20000-2-200002-2200-2-200-2-200000022000000000000000
χ2122222-12222-1-1-12222-1222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122200-1-100-1-1220-1-10-1-1-1-10000000000000
χ2222222-12222-1-1-12222-1222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-200110011-2-2011011110000000000000
χ2322222-12222-1-1-1222-2-1-2-2-2-1-1-1-1-1-1-1-1-1112-2-21111222-2221-1-1-1-11111-2-2-1-11111-2-2200-1-100112-20-1-101-1110000000000000
χ2422222-12222-1-1-1222-2-1-2-2-2-1-1-1-1-1-1-1-1-1112-2-211112-2-2-2221-1-1-1-11111-2-2-1-1111122-2001100-1-1-220110-11-1-10000000000000
χ2522222-12222-1-1-12-2-22-12221111-1-1-1-1-1-1-1222-1-1-1-1222-2-2-2-11111-1-111-2-2-1-1111122200-1-100-1-1-2-20110-1-1110000000000000
χ2622222-12222-1-1-12-2-22-12221111-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-11111-1-111-2-2-1-11111-2-2-200110011220-1-1011-1-10000000000000
χ2722222-12222-1-1-12-2-2-2-1-2-2-21111-1-1-1-1-1112-2-211112222-2-21111111-1-122-1-1-1-1-1-1-2-2200-1-10011-2201101-1-1-10000000000000
χ2822222-12222-1-1-12-2-2-2-1-2-2-21111-1-1-1-1-1112-2-211112-2-22-2-21111111-1-122-1-1-1-1-1-122-2001100-1-12-20-1-10-11110000000000000
χ2922222-1-2-222-1-1-12002-1-222−i3−i3i3i3-1-1-11111-2-2-21111-222000-1−i3−i3i3i3-1-1−i3i30011−i3−i3i3i32-2-200-1-10011000−i3i30-11−i3i30000000000000
χ3022222-1-2-222-1-1-12002-1-222−i3−i3i3i3-1-1-11111-2-2-21111-2-2-2000-1−i3−i3i3i3-1-1−i3i30011−i3−i3i3i3-222001100-1-1000i3−i301-1i3−i30000000000000
χ3122222-1-2-222-1-1-12002-1-222i3i3−i3−i3-1-1-11111-2-2-21111-222000-1i3i3−i3−i3-1-1i3−i30011i3i3−i3−i32-2-200-1-10011000i3−i30-11i3−i30000000000000
χ3222222-1-2-222-1-1-12002-1-222i3i3−i3−i3-1-1-11111-2-2-21111-2-2-2000-1i3i3−i3−i3-1-1i3−i30011i3i3−i3−i3-222001100-1-1000−i3i301-1−i3i30000000000000
χ3322222-1-2-222-1-1-1200-2-12-2-2−i3−i3i3i3-1-1-111-1-1-222-1-1-1-1-2220001−i3−i3i3i311i3−i30011i3i3−i3−i3-22-200-1-100-1-1000−i3i3011i3−i30000000000000
χ3422222-1-2-222-1-1-1200-2-12-2-2−i3−i3i3i3-1-1-111-1-1-222-1-1-1-1-2-2-20001−i3−i3i3i311i3−i30011i3i3−i3−i32-2200110011000i3−i30-1-1−i3i30000000000000
χ3522222-1-2-222-1-1-1200-2-12-2-2i3i3−i3−i3-1-1-111-1-1-222-1-1-1-1-2220001i3i3−i3−i311−i3i30011−i3−i3i3i3-22-200-1-100-1-1000i3−i3011−i3i30000000000000
χ3622222-1-2-222-1-1-1200-2-12-2-2i3i3−i3−i3-1-1-111-1-1-222-1-1-1-1-2-2-20001i3i3−i3−i311−i3i30011−i3−i3i3i32-2200110011000−i3i30-1-1i3−i30000000000000
χ372222-1222-1-1222-1222-12-1-12222-1-1-12222-1-1-1-1-1-1-1-1002-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1000220022000020020000-1-1-1-1-1-1-1-100000
χ382222-1222-1-1222-1222-12-1-12222-1-1-12222-1-1-1-1-1-1-1-1002-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1000-2-200-2-20000-200-200001111111100000
χ392222-1222-1-1222-122-2-1-2112222-1-1-122-2-2-1111111-100-2-1-1-2-1-1-1-111-2-211-1-111110002200220000-200-20000-1-111-1-11100000
χ402222-1222-1-1222-122-2-1-2112222-1-1-122-2-2-1111111-100-2-1-1-2-1-1-1-111-2-211-1-11111000-2-200-2-200002002000011-1-111-1-100000
χ412222-1222-1-1222-1-2-22-12-1-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-100-21121111-1-1-2-211-1-111110002200-2-20000200-20000-1-1-1-1111100000
χ422222-1222-1-1222-1-2-22-12-1-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-100-21121111-1-1-2-211-1-11111000-2-200220000-200200001111-1-1-1-100000
χ432222-1222-1-1222-1-2-2-2-1-211-2-2-2-2-1-1-122-2-2-1111111-100211-211111122-1-1-1-1-1-1-1-10002200-2-20000-20020000-1-11111-1-100000
χ442222-1222-1-1222-1-2-2-2-1-211-2-2-2-2-1-1-122-2-2-1111111-100211-211111122-1-1-1-1-1-1-1-1000-2-200220000200-2000011-1-1-1-11100000
χ452-2-2222-22-2-2-22-222-2020002-22-2-2-222-200-200000020002-202-22-20000002-200000002-2002-20000000000002-2002-20000000
χ462-2-2222-22-2-2-22-222-2020002-22-2-2-222-200-200000020002-202-22-20000002-20000000-2200-22000000000000-2200-220000000
χ472-2-2222-22-2-2-22-22-2202000-22-22-2-222-200-20000002000-220-22-220000002-200000002-200-220000000000002-200-220000000
χ482-2-2222-22-2-2-22-22-2202000-22-22-2-222-200-20000002000-220-22-220000002-20000000-22002-2000000000000-22002-20000000
χ492-2-22-12-2211-22-2-12-20-10−i3i32-22-211-12-2001−i3i3−i3−i3i3i3-1000-110-11-11−i3i300−i3i3-11−i3i3−i3i30002-2002-2000000000000-11−i3i3-11−i3i300000
χ502-2-22-12-2211-22-2-12-20-10−i3i32-22-211-12-2001−i3i3−i3−i3i3i3-1000-110-11-11−i3i300−i3i3-11−i3i3−i3i3000-2200-220000000000001-1i3−i31-1i3−i300000
χ512-2-22-12-2211-22-2-12-20-10i3−i32-22-211-12-2001i3−i3i3i3−i3−i3-1000-110-11-11i3−i300i3−i3-11i3−i3i3−i30002-2002-2000000000000-11i3−i3-11i3−i300000
χ522-2-22-12-2211-22-2-12-20-10i3−i32-22-211-12-2001i3−i3i3i3−i3−i3-1000-110-11-11i3−i300i3−i3-11i3−i3i3−i3000-2200-220000000000001-1−i3i31-1−i3i300000
χ532-2-22-12-2211-22-2-1-220-10−i3i3-22-2211-12-2001−i3i3−i3−i3i3i3-10001-101-11-1−i3i300i3−i3-11i3−i3i3−i30002-200-22000000000000-11−i3i31-1i3−i300000
χ542-2-22-12-2211-22-2-1-220-10−i3i3-22-2211-12-2001−i3i3−i3−i3i3i3-10001-101-11-1−i3i300i3−i3-11i3−i3i3−i3000-22002-20000000000001-1i3−i3-11−i3i300000
χ552-2-22-12-2211-22-2-1-220-10i3−i3-22-2211-12-2001i3−i3i3i3−i3−i3-10001-101-11-1i3−i300−i3i3-11−i3i3−i3i30002-200-22000000000000-11i3−i31-1−i3i300000
χ562-2-22-12-2211-22-2-1-220-10i3−i3-22-2211-12-2001i3−i3i3i3−i3−i3-10001-101-11-1i3−i300−i3i3-11−i3i3−i3i3000-22002-20000000000001-1−i3i3-11i3−i300000
χ574444-24-4-4-2-2444-2004-2-4-2-20000-2-2-2-4-4-4-4222222220000040000-2-200002200000000000000000000000000000000000000
χ584444-24-4-4-2-2444-200-4-24220000-2-2-2-4-4442-2-2-2-2-2-2200000-400002200002200000000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-244414-2-2-2-2-2-2111-2-2-2-2-2-2-21111-2004-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-244-41-422-2-2-2-2111-2-222-222-1-1-1-1-200-4-2-221111-1-1222211-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-4-4414-2-22222111-2-2-2-2-2-2-21111-200-422-2-1-1-1-111222211-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-4-4-41-4222222111-2-222-222-1-1-1-1-2004222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-20041-4-2-2−2i3−2i32i32i31112222222-1-1-1-1200000-2i3i3−i3−i311−2i32i300-1-1i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-20041-4-2-22i32i3−2i3−2i31112222222-1-1-1-1200000-2−i3−i3i3i3112i3−2i300-1-1−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-200-41422−2i3−2i32i32i311122-2-22-2-211112000002i3i3−i3−i3-1-12i3−2i300-1-1−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-200-414222i32i3−2i3−2i311122-2-22-2-211112000002−i3−i3i3i3-1-1−2i32i300-1-1i3i3−i3−i30000000000000000000000000000000000
χ6744-4-444004-44-4-4-4000400000004-4-40000000000004-400000000000000000000000004-4000000000000000000000000000
χ6844-4-444004-44-4-4-4000400000004-4-4000000000000-440000000000000000000000000-44000000000000000000000000000
χ6944-4-44-2004-4-222-4000-20000000-2220023−2300023−2323−2304-40000000000000000000000000-220023−2300000000000000000000000
χ7044-4-44-2004-4-222-4000-20000000-2220023−2300023−2323−230-4400000000000000000000000002-200−232300000000000000000000000
χ7144-4-44-2004-4-222-4000-20000000-22200−2323000−2323−232304-40000000000000000000000000-2200−232300000000000000000000000
χ7244-4-44-2004-4-222-4000-20000000-22200−2323000−2323−23230-4400000000000000000000000002-20023−2300000000000000000000000
χ734-44-44400-44-4-44-400040000000-44-4000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ744-44-44400-44-4-44-400040000000-44-40000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ754-4-44444-4-4-4-44-4400040000000-4-44-44004000000-40000000000000000-4400000000000000000000000000000000000000
χ764-4-444-24-4-4-42-224000-2000−2i32i32i3−2i322-22-2004000000-4000000−2i32i32i3−2i30000002-200000000000000000000000000000000000000
χ774-4-444-24-4-4-42-224000-20002i3−2i3−2i32i322-22-2004000000-40000002i3−2i3−2i32i30000002-200000000000000000000000000000000000000
χ784-4-444-2-44-4-42-2244-40-2000-22-2222-2-2200-400000040004-40-22-22000000-2200000000000000000000000000000000000000
χ794-4-444-2-44-4-42-224-440-20002-22-222-2-2200-40000004000-4402-22-2000000-2200000000000000000000000000000000000000
χ804-4-44-244-422-44-4-2000-20−2i32i3000022-2-4400-22i3−2i32i32i3−2i3−2i320000000000−2i32i300002-200000000000000000000000000000000000000
χ814-4-44-244-422-44-4-2000-202i3−2i3000022-2-4400-2−2i32i3−2i3−2i32i32i3200000000002i3−2i300002-200000000000000000000000000000000000000
χ824-4-44-2-24-4222-22-200010−2i32i3−2i32i32i3−2i3-1-112-200-22i3−2i3−i3−i3i3i32000000i3−i3−i3i3i3−i30000-11-333-30000000000000000000000000000000000
χ834-4-44-2-24-4222-22-200010−2i32i32i3−2i3−2i32i3-1-112-200-22i3−2i3−i3−i3i3i32000000−i3i3i3−i3i3−i30000-113-3-330000000000000000000000000000000000
χ844-4-44-2-24-4222-22-2000102i3−2i3−2i32i32i3−2i3-1-112-200-2−2i32i3i3i3−i3−i32000000i3−i3−i3i3−i3i30000-113-3-330000000000000000000000000000000000
χ854-4-44-2-24-4222-22-2000102i3−2i32i3−2i3−2i32i3-1-112-200-2−2i32i3i3i3−i3−i32000000−i3i3i3−i3−i3i30000-11-333-30000000000000000000000000000000000
χ864-4-44-2-2-44222-22-24-4010−2i32i3-22-22-1-11-22002−2i32i3i3i3−i3−i3-2000-2201-11-1i3−i300−2i32i31-1i3−i3i3−i30000000000000000000000000000000000
χ874-4-44-2-2-44222-22-24-40102i3−2i3-22-22-1-11-220022i3−2i3−i3−i3i3i3-2000-2201-11-1−i3i3002i3−2i31-1−i3i3−i3i30000000000000000000000000000000000
χ884-4-44-2-2-44222-22-2-44010−2i32i32-22-2-1-11-22002−2i32i3i3i3−i3−i3-20002-20-11-11i3−i3002i3−2i31-1−i3i3−i3i30000000000000000000000000000000000
χ894-4-44-2-2-44222-22-2-440102i3−2i32-22-2-1-11-220022i3−2i3−i3−i3i3i3-20002-20-11-11−i3i300−2i32i31-1i3−i3i3−i30000000000000000000000000000000000
χ9088-8-8-4800-448-8-84000-40000000-44400000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400-44-4444000200000002-2-20043−43000−2323−2323000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44-4444000200000002-2-200−434300023−2323−23000000000000000000000000000000000000000000000000000000000
χ938-88-88-400-8844-4-8000-400000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-48004-4-8-884000-400000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-4004-444-4400020000000-22-200000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4004-444-4400020000000-22-20000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000

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