Finite Group Databasebeta

← Group #11884408

Character table — Group #11884408

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order12223344666666234446666612121212121212121212121212121212442666666666661212121212121212222448812121212224666666681212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111-11111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-111-1-111-1-1-1-1-11-1-1-1-111111-1-1-11111-1-1-1-1-1
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
χ511111111111111111-1-1111111111111-1-1-1-11111111-11-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-11111-11-11-1-11111-11-1-1-1-1-1-1-1-111-1
χ611111111111111111-1-1111111111111-1-1-1-11111111-11-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-111111111-1-1-11-1-1-1-1-1-111-1-1111111-1-11
χ711111111111111111-1-1111111111111-1-1-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1111111-1-111-1-1-1-111-1-11
χ811111111111111111-1-1111111111111-1-1-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11-11-111-1-1-1-11-1111111-1-111-1
χ911111111111111-11-111-1-11111-1-111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1111-1-111111-1-1-1-1-1-111-1-1111-1-1
χ1011111111111111-11-111-1-11111-1-111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1111-1-1111-1-1-1-1-111-1-1-111
χ1111111111111111-11-111-1-11111-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111111-1-1-1-11-1-1-111-1-1-111111-1-1-1-1-111
χ1211111111111111-11-111-1-11111-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-111-1-1-111-1-1-1-1-1111111-1-111111-1-1
χ1311111111111111-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-11111-1-11111-1-111-1-1-1-1111-1-1-1-1-1-111-1-111-1-111-1-11-111-1-111-1-11-11
χ1411111111111111-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-11111-1-11111-1-111-1-1-1-11-1-1-1-111-1-111-1111-1-1-1-111-1-11111-1-111-11-1
χ1511111111111111-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-11111-1-111-1-1-1-1-11111-1-111-1-11-1-1-11111-1-111-1-1-1-11111-11-1
χ1611111111111111-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-11111-1-111-1-1-1-1-1-1-1111111-1-111-1-111-1-111-11-1-111-1-1-1-11-11
χ17222222-2-222222222-20022222-2-2-2-2-2-2-20000-2-2-2-2-22202000022000000-2-20000-200-2200-2-222000-20000000200000000000
χ18222222-2-222222222-20022222-2-2-2-2-2-2-20000-2-2-2-2-2-2-202000022000000-2-200002002-20022-2-200020000000-200000000000
χ19222222-2-2222222-22200-2-2222-222-2-22200002222-2220-20000-2-2000000-2-20000-2002-2002222000-20000000-200000000000
χ20222222-2-2222222-22200-2-2222-222-2-22200002222-2-2-20-20000-2-2000000-2-20000200-2200-2-2-2-200020000000200000000000
χ2122222-122-1-12-1222-1222-1-1-1-1-1-1-1-122222222-1-1-1-1-1002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-102200220000020000-1-1-1-12000-1-1-1-100000
χ2222222-122-1-12-1222-1222-1-1-1-1-1-1-1-122222222-1-1-1-1-1002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-200-2-200000-200001111-2000111100000
χ2322222-122-1-12-1222-12-2-2-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-100-22-2-211-1-1111111-1-1111102200-2-20000020000-1-1-1-1-2000111100000
χ2422222-122-1-12-1222-12-2-2-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-100-22-2-211-1-1111111-1-111110-2-2002200000-2000011112000-1-1-1-100000
χ2522222-122-1-12-122-2-1-22211-1-1-1-11122-2-222221111-100-2-2-2-211111111-1-1-1-1-1-1-1-1022002200000-20000-1-111-2000-1-11100000
χ2622222-122-1-12-122-2-1-22211-1-1-1-11122-2-222221111-100-2-2-2-211111111-1-1-1-1-1-1-1-10-2-200-2-2000002000011-1-1200011-1-100000
χ2722222-122-1-12-122-2-1-2-2-211-1-1-1-11122-2-2-2-2-2-21111-1002-222-1-111-1-1-1-111-1-1111102200-2-200000-20000-1-111200011-1-100000
χ2822222-122-1-12-122-2-1-2-2-211-1-1-1-11122-2-2-2-2-2-21111-1002-222-1-111-1-1-1-111-1-111110-2-20022000002000011-1-1-2000-1-11100000
χ292222-122222-12-1-12-122222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12002200-1-1-1-1202-1-1-100000-1-1-1000000000
χ302222-122222-12-1-12-122222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-200-2-2001111-20-211100000111000000000
χ312222-122222-12-1-12-12-2-222-1-1-1222-1-1-1-11111-1-1-1-1222-2-111-2-2-1-11111-2-2-1-111112002200-1-1-1-1-20-2-11100000-111000000000
χ322222-122222-12-1-12-12-2-222-1-1-1222-1-1-1-11111-1-1-1-12-2-2-2-111-2-2-1-11111-2-2-1-11111-200-2-20011112021-1-1000001-1-1000000000
χ332222-122222-12-1-1-2-1-222-2-2-1-1-12-2-2-1-111-1-1-1-11111222-2111-2-211111122-1-1-1-1-1-1200-2-20011-1-120-2-1-1-100000111000000000
χ342222-122222-12-1-1-2-1-222-2-2-1-1-12-2-2-1-111-1-1-1-111112-2-2-2111-2-211111122-1-1-1-1-1-1-2002200-1-111-20211100000-1-1-1000000000
χ352222-122222-12-1-1-2-1-2-2-2-2-2-1-1-12-2-2-1-1111111111122221-1-12211-1-1-1-1-2-2-1-11111200-2-20011-1-1-202-111000001-1-1000000000
χ362222-122222-12-1-1-2-1-2-2-2-2-2-1-1-12-2-2-1-111111111112-2-221-1-12211-1-1-1-1-2-2-1-11111-2002200-1-11120-21-1-100000-111000000000
χ372222-12-2-222-12-1-12-1-20022-1-1-1-2-2-21111−i3−i3i3i31111-2220-1−i3i300-1-1−i3−i3i3i30011−i3−i3i3i3-200-220011-1-10001−i3i300000-1−i3i3000000000
χ382222-12-2-222-12-1-12-1-20022-1-1-1-2-2-21111−i3−i3i3i31111-2-2-20-1−i3i300-1-1−i3−i3i3i30011−i3−i3i3i32002-200-1-111000-1i3−i3000001i3−i3000000000
χ392222-12-2-222-12-1-12-1-20022-1-1-1-2-2-21111i3i3−i3−i31111-2220-1i3−i300-1-1i3i3−i3−i30011i3i3−i3−i3-200-220011-1-10001i3−i300000-1i3−i3000000000
χ402222-12-2-222-12-1-12-1-20022-1-1-1-2-2-21111i3i3−i3−i31111-2-2-20-1i3−i300-1-1i3i3−i3−i30011i3i3−i3−i32002-200-1-111000-1−i3i3000001−i3i3000000000
χ412222-12-2-222-12-1-1-2-1200-2-2-1-1-1-22211-1-1−i3−i3i3i3-1-1-1-1-22201i3−i30011i3i3−i3−i30011−i3−i3i3i3-2002-200-1-1-1-10001−i3i3000001i3−i3000000000
χ422222-12-2-222-12-1-1-2-1200-2-2-1-1-1-22211-1-1−i3−i3i3i3-1-1-1-1-2-2-201i3−i30011i3i3−i3−i30011−i3−i3i3i3200-22001111000-1i3−i300000-1−i3i3000000000
χ432222-12-2-222-12-1-1-2-1200-2-2-1-1-1-22211-1-1i3i3−i3−i3-1-1-1-1-22201−i3i30011−i3−i3i3i30011i3i3−i3−i3-2002-200-1-1-1-10001i3−i3000001−i3i3000000000
χ442222-12-2-222-12-1-1-2-1200-2-2-1-1-1-22211-1-1i3i3−i3−i3-1-1-1-1-2-2-201−i3i30011−i3−i3i3i30011i3i3−i3−i3200-22001111000-1−i3i300000-1i3−i3000000000
χ452-22-222-22-2-2-222-20202-200-2-22-2002-2002-22-200002000000000000002-22-22-22-202-2002-200000000002-20000002-20000000
χ462-22-222-22-2-2-222-20202-200-2-22-2002-2002-22-200002000000000000002-22-22-22-20-2200-220000000000-22000000-220000000
χ472-22-222-22-2-2-222-2020-2200-2-22-2002-200-22-220000200000000000000-222-2-22-2202-200-2200000000002-2000000-220000000
χ482-22-222-22-2-2-222-2020-2200-2-22-2002-200-22-220000200000000000000-222-2-22-220-22002-20000000000-220000002-20000000
χ492-22-22-1-2211-2-12-20-102-2−i3i311-11−i3i32-2002-22-2−i3−i3i3i3-1000000−i3i3−i3i3−i3i3−i3i3-11-11-11-1102-2002-20000000000-11−i3i30000-11−i3i300000
χ502-22-22-1-2211-2-12-20-102-2−i3i311-11−i3i32-2002-22-2−i3−i3i3i3-1000000−i3i3−i3i3−i3i3−i3i3-11-11-11-110-2200-2200000000001-1i3−i300001-1i3−i300000
χ512-22-22-1-2211-2-12-20-102-2i3−i311-11i3−i32-2002-22-2i3i3−i3−i3-1000000i3−i3i3−i3i3−i3i3−i3-11-11-11-1102-2002-20000000000-11i3−i30000-11i3−i300000
χ522-22-22-1-2211-2-12-20-102-2i3−i311-11i3−i32-2002-22-2i3i3−i3−i3-1000000i3−i3i3−i3i3−i3i3−i3-11-11-11-110-2200-2200000000001-1−i3i300001-1−i3i300000
χ532-22-22-1-2211-2-12-20-10-22−i3i311-11−i3i32-200-22-22−i3−i3i3i3-1000000i3−i3−i3i3i3−i3i3−i31-1-111-11-102-200-220000000000-11−i3i300001-1i3−i300000
χ542-22-22-1-2211-2-12-20-10-22−i3i311-11−i3i32-200-22-22−i3−i3i3i3-1000000i3−i3−i3i3i3−i3i3−i31-1-111-11-10-22002-200000000001-1i3−i30000-11−i3i300000
χ552-22-22-1-2211-2-12-20-10-22i3−i311-11i3−i32-200-22-22i3i3−i3−i3-1000000−i3i3i3−i3−i3i3−i3i31-1-111-11-102-200-220000000000-11i3−i300001-1−i3i300000
χ562-22-22-1-2211-2-12-20-10-22i3−i311-11i3−i32-200-22-22i3i3−i3−i3-1000000−i3i3i3−i3−i3i3−i3i31-1-111-11-10-22002-200000000001-1−i3i30000-11i3−i300000
χ5744444-2-4-4-2-24-2444-2-400-2-2-2-2-2222-4-4-4-400002222200040000-2-20000002200000000000000000000000000000000000000
χ5844444-2-4-4-2-24-244-4-240022-2-2-22-2-2-4-4440000-2-2-2-22000-40000220000002200000000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-241444-2-2111-2-2-2-2-2-2-2-2-2-2-21111-2004-2-2-2-2-2111111-2-21111110000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-2414-4-4-2-2111-2-2-2-2-2-2-222221111-200-4-2222211-1-1-1-12211-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-41-44422111-222-2-222-2-2-2-2-1-1-1-1-200-422222-1-1-1-1-1-1-2-21111110000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-41-4-4-422111-222-2-2222222-1-1-1-1-20042-2-2-2-2-1-111112211-1-1-1-10000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-241-400-2-21112222222−2i3−2i32i32i3-1-1-1-12000-2−2i32i30011i3i3−i3−i300-1-1i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-241-400-2-211122222222i32i3−2i3−2i3-1-1-1-12000-22i3−2i30011−i3−i3i3i300-1-1−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2-41400221112-2-222-2-2−2i3−2i32i32i31111200022i3−2i300-1-1−i3−i3i3i300-1-1i3i3−i3−i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2-41400221112-2-222-2-22i32i3−2i3−2i3111120002−2i32i300-1-1i3i3−i3−i300-1-1−i3−i3i3i30000000000000000000000000000000000
χ6744-4-444004-44-4-4-404000004-4-400000000000000004i−4i000000000000000000000000000004i−4i00000000000000000000000
χ6844-4-444004-44-4-4-404000004-4-40000000000000000−4i4i00000000000000000000000000000−4i4i00000000000000000000000
χ6944-4-4-24004-4-2-4220-200000-2220000023−23000023−2323−2304i−4i000000000000000000000000000−2i32i3−2i2i00000000000000000000000
χ7044-4-4-24004-4-2-4220-200000-2220000023−23000023−2323−230−4i4i0000000000000000000000000002i3−2i32i−2i00000000000000000000000
χ7144-4-4-24004-4-2-4220-200000-22200000−23230000−2323−232304i−4i0000000000000000000000000002i3−2i3−2i2i00000000000000000000000
χ7244-4-4-24004-4-2-4220-200000-22200000−23230000−2323−23230−4i4i000000000000000000000000000−2i32i32i−2i00000000000000000000000
χ734-44-4444-4-4-4-444-40400000-4-44400-440000000000-40000000000000000-4400000000000000000000000000000000000000
χ744-44-44-24-422-4-24-40-2000−2i32i322-2-22i3−2i3-440000002i32i3−2i3−2i3200000000−2i32i30000002-200000000000000000000000000000000000000
χ754-44-44-24-422-4-24-40-20002i3−2i322-2-2−2i32i3-44000000−2i3−2i32i32i32000000002i3−2i30000002-200000000000000000000000000000000000000
χ764-44-4-244-4-4-424-220-20000022-24002-200−2i32i32i3−2i30000-400000000000000002-2−2i32i32i3−2i30000000000000000000000000000000000
χ774-44-4-244-4-4-424-220-20000022-24002-2002i3−2i3−2i32i30000-400000000000000002-22i3−2i3−2i32i30000000000000000000000000000000000
χ784-44-4-24-44-4-424-220-204-40022-2-400-2200-22-2200004000000000000004-4-22-22-220000000000000000000000000000000000
χ794-44-4-24-44-4-424-220-20-440022-2-400-22002-22-20000400000000000000-44-222-22-20000000000000000000000000000000000
χ804-44-4-2-24-4222-2-2201000−2i32i3-1-11-22i3−2i32-200−2i32i32i3−2i3−i3−i3i3i3200000000i3−i3-333-300-11i3−i3−i3i30000000000000000000000000000000000
χ814-44-4-2-24-4222-2-2201000−2i32i3-1-11-22i3−2i32-2002i3−2i3−2i32i3−i3−i3i3i3200000000i3−i33-3-3300-11−i3i3i3−i30000000000000000000000000000000000
χ824-44-4-2-24-4222-2-22010002i3−2i3-1-11-2−2i32i32-200−2i32i32i3−2i3i3i3−i3−i3200000000−i3i33-3-3300-11i3−i3−i3i30000000000000000000000000000000000
χ834-44-4-2-24-4222-2-22010002i3−2i3-1-11-2−2i32i32-2002i3−2i3−2i32i3i3i3−i3−i3200000000−i3i3-333-300-11−i3i3i3−i30000000000000000000000000000000000
χ844-44-4-2-2-44222-2-220104-4−2i32i3-1-112−2i32i3-2200-22-22i3i3−i3−i3-2000000−2i32i3i3−i3i3−i3i3−i3-221-11-11-10000000000000000000000000000000000
χ854-44-4-2-2-44222-2-220104-42i3−2i3-1-1122i3−2i3-2200-22-22−i3−i3i3i3-20000002i3−2i3−i3i3−i3i3−i3i3-221-11-11-10000000000000000000000000000000000
χ864-44-4-2-2-44222-2-22010-44−2i32i3-1-112−2i32i3-22002-22-2i3i3−i3−i3-20000002i3−2i3i3−i3−i3i3−i3i32-21-1-11-110000000000000000000000000000000000
χ874-44-4-2-2-44222-2-22010-442i3−2i3-1-1122i3−2i3-22002-22-2−i3−i3i3i3-2000000−2i32i3−i3i3i3−i3i3−i32-21-1-11-110000000000000000000000000000000000
χ884-4-444400-44-4-4-440400000-44-4000000000000000000000000000000000000000000000000000000000000000000022−22000
χ894-4-444400-44-4-4-440400000-44-40000000000000000000000000000000000000000000000000000000000000000000−2222000
χ9088-8-88-400-4484-8-80-400000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400-44-444402000002-2-20000043−430000−2323−2323000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44-444402000002-2-200000−4343000023−2323−23000000000000000000000000000000000000000000000000000000000
χ938-8-888-4004-4-84-880-4000004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-4800-884-84-40-4000004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4004-4444-40200000-22-2000000000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4004-4444-40200000-22-200000000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000

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