Finite Group Databasebeta

← Group #11884253

Character table — Group #11884253

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order12223344666666222346666666661212121212121212121212124446666666661212121212121212121222244881212121224466666812121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-111-1-111-1-1-1-11-1-1-111111-1-1-1-1-11111-1-1-1-1-1
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
χ51111111111111111-11-11111-1-11111-1-111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-111-11-1
χ61111111111111111-11-11111-1-11111-1-111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1111-111-1-1111-1-1-111-1-111-1-11-11
χ71111111111111111-11-11111-1-11111-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-11-1-111-1-1-1111-1-111-1-1-1-11-11
χ81111111111111111-11-11111-1-11111-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11111-11-1
χ911111111111111-1-1111-1-1-1-11111111111111111111-11-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-111111-1-111111-11-1-1-1-1-1-1-1-1-1-111-1
χ1011111111111111-1-1111-1-1-1-11111111111111111111-11-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-111111111-1-1-11-1-1-1-111-1-1-1-1111111-1-11
χ1111111111111111-1-1111-1-1-1-111111111111111111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-11
χ1211111111111111-1-1111-1-1-1-111111111111111111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-11-111111111-1-111-1
χ1311111111111111-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111-11-1111-1-11-111-1-1-1-111-1-1-111
χ1411111111111111-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-11111-11-1-111-1-111-1-111-1-1111-1-1
χ1511111111111111-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-11111111111-11111-1-111-1-1-1-11-111-1-111-1-111-1-111111-1-1
χ1611111111111111-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-11111111111-1-1-1111111-1-11-11-1-1-111-11-1-11111-1-1-1-1-111
χ17222222-2-22222220022-2000022222-2-2-2-2-2-2-2-2-2-2-2-22202000000220000-2-20000-200-2200-2-222000-20000020000000000000
χ18222222-2-22222220022-2000022222-2-2-2-2-2-2-2-2-2-2-2-2-2-202000000220000-2-200002002-20022-2-2000200000-20000000000000
χ19222222-2-222222200-2220000-2-2222-222-2-2222222-2220-2000000-2-20000-2-20000-2002-2002222000-200000-20000000000000
χ20222222-2-222222200-2220000-2-2222-222-2-2222222-2-2-20-2000000-2-20000-2-20000200-2200-2-2-2-200020000020000000000000
χ2122222-122-1-12-122222-122222-1-1-1-1-1-1-1-12222-1-1-1-1-10022-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1022002200002000-1-1-1-1200000-1-1-1-100000
χ2222222-122-1-12-122222-122222-1-1-1-1-1-1-1-12222-1-1-1-1-10022-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10-2-200-2-20000-20001111-200000111100000
χ2322222-122-1-12-12222-2-1-2222211-1-1-1-11122-2-21111-100-2-2-1-1-1-1-1-11111-2-2-1-1111102200220000-2000-1-111-200000-1-11100000
χ2422222-122-1-12-12222-2-1-2222211-1-1-1-11122-2-21111-100-2-2-1-1-1-1-1-11111-2-2-1-111110-2-200-2-20000200011-1-120000011-1-100000
χ2522222-122-1-12-122-2-22-12-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-100-22111111-1-111-2-2-1-1111102200-2-200002000-1-1-1-1-200000111100000
χ2622222-122-1-12-122-2-22-12-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-100-22111111-1-111-2-2-1-111110-2-200220000-20001111200000-1-1-1-100000
χ2722222-122-1-12-122-2-2-2-1-2-2-2-2-211-1-1-1-11122-2-21111-1002-211111111-1-122-1-1-1-1-1-102200-2-20000-2000-1-11120000011-1-100000
χ2822222-122-1-12-122-2-2-2-1-2-2-2-2-211-1-1-1-11122-2-21111-1002-211111111-1-122-1-1-1-1-1-10-2-200220000200011-1-1-200000-1-11100000
χ292222-122222-12-1-1222-12-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-12222-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12002200-1-1-1-1022-100000-1-1-1-1-1000000000
χ302222-122222-12-1-1222-12-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-12-2-22-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-200-2-20011110-2-210000011111000000000
χ312222-122222-12-1-122-2-1-2-1-1-1-1-2-2-1-1-12-2-2-1-1111111222-2122-1-1-1-111-2-211-1-11111200-2-20011-1-10-22-100000111-1-1000000000
χ322222-122222-12-1-122-2-1-2-1-1-1-1-2-2-1-1-12-2-2-1-11111112-2-2-2122-1-1-1-111-2-211-1-11111-2002200-1-11102-2100000-1-1-111000000000
χ332222-122222-12-1-1-2-22-12111122-1-1-1222-1-1-1-1-1-1-1-1222-2-1-2-21111-1-1-2-211-1-111112002200-1-1-1-10-2-2-100000-11111000000000
χ342222-122222-12-1-1-2-22-12111122-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-1-2-21111-1-1-2-211-1-11111-200-2-20011110221000001-1-1-1-1000000000
χ352222-122222-12-1-1-2-2-2-1-21111-2-2-1-1-12-2-2-1-111111122221-2-211111122-1-1-1-1-1-1-1-1200-2-20011-1-102-2-1000001-1-111000000000
χ362222-122222-12-1-1-2-2-2-1-21111-2-2-1-1-12-2-2-1-11111112-2-221-2-211111122-1-1-1-1-1-1-1-1-2002200-1-1110-22100000-111-1-1000000000
χ372222-12-2-222-12-1-1002-1-2−i3−i3i3i322-1-1-1-2-2-211111111-2220-100−i3−i3i3i3-1-100−i3i311−i3−i3i3i3-200-220011-1-1000100000-1−i3i3−i3i3000000000
χ382222-12-2-222-12-1-1002-1-2−i3−i3i3i322-1-1-1-2-2-211111111-2-2-20-100−i3−i3i3i3-1-100−i3i311−i3−i3i3i32002-200-1-111000-1000001i3−i3i3−i3000000000
χ392222-12-2-222-12-1-1002-1-2i3i3−i3−i322-1-1-1-2-2-211111111-2220-100i3i3−i3−i3-1-100i3−i311i3i3−i3−i3-200-220011-1-1000100000-1i3−i3i3−i3000000000
χ402222-12-2-222-12-1-1002-1-2i3i3−i3−i322-1-1-1-2-2-211111111-2-2-20-100i3i3−i3−i3-1-100i3−i311i3i3−i3−i32002-200-1-111000-1000001−i3i3−i3i3000000000
χ412222-12-2-222-12-1-100-2-12−i3−i3i3i3-2-2-1-1-1-22211-1-1-1-1-1-1-2220100−i3−i3i3i31100i3−i311i3i3−i3−i3-2002-200-1-1-1-10001000001i3−i3−i3i3000000000
χ422222-12-2-222-12-1-100-2-12−i3−i3i3i3-2-2-1-1-1-22211-1-1-1-1-1-1-2-2-20100−i3−i3i3i31100i3−i311i3i3−i3−i3200-22001111000-100000-1−i3i3i3−i3000000000
χ432222-12-2-222-12-1-100-2-12i3i3−i3−i3-2-2-1-1-1-22211-1-1-1-1-1-1-2220100i3i3−i3−i31100−i3i311−i3−i3i3i3-2002-200-1-1-1-10001000001−i3i3i3−i3000000000
χ442222-12-2-222-12-1-100-2-12i3i3−i3−i3-2-2-1-1-1-22211-1-1-1-1-1-1-2-2-20100i3i3−i3−i31100−i3i311−i3−i3i3i3200-22001111000-100000-1i3−i3−i3i3000000000
χ452-2-2222-22-2-2-22-222-20202-22-200-2-22-2002-2000000200002-22-22-20000002-2000002-2002-2000000002-2000000002-20000000
χ462-2-2222-22-2-2-22-222-20202-22-200-2-22-2002-2000000200002-22-22-20000002-200000-2200-2200000000-2200000000-220000000
χ472-2-2222-22-2-2-22-22-22020-22-2200-2-22-2002-200000020000-22-22-220000002-2000002-200-22000000002-200000000-220000000
χ482-2-2222-22-2-2-22-22-22020-22-2200-2-22-2002-200000020000-22-22-220000002-200000-22002-200000000-22000000002-20000000
χ492-2-222-1-2211-2-1-222-20-102-22-2−i3i311-11−i3i32-200−i3−i3i3i3-10000-11-11-11−i3i3−i3i300-11−i3i3−i3i302-2002-200000000-11−i3i3000000-11−i3i300000
χ502-2-222-1-2211-2-1-222-20-102-22-2−i3i311-11−i3i32-200−i3−i3i3i3-10000-11-11-11−i3i3−i3i300-11−i3i3−i3i30-2200-22000000001-1i3−i30000001-1i3−i300000
χ512-2-222-1-2211-2-1-222-20-102-22-2i3−i311-11i3−i32-200i3i3−i3−i3-10000-11-11-11i3−i3i3−i300-11i3−i3i3−i302-2002-200000000-11i3−i3000000-11i3−i300000
χ522-2-222-1-2211-2-1-222-20-102-22-2i3−i311-11i3−i32-200i3i3−i3−i3-10000-11-11-11i3−i3i3−i300-11i3−i3i3−i30-2200-22000000001-1−i3i30000001-1−i3i300000
χ532-2-222-1-2211-2-1-22-220-10-22-22−i3i311-11−i3i32-200−i3−i3i3i3-100001-11-11-1−i3i3i3−i300-11i3−i3i3−i302-200-2200000000-11−i3i30000001-1i3−i300000
χ542-2-222-1-2211-2-1-22-220-10-22-22−i3i311-11−i3i32-200−i3−i3i3i3-100001-11-11-1−i3i3i3−i300-11i3−i3i3−i30-22002-2000000001-1i3−i3000000-11−i3i300000
χ552-2-222-1-2211-2-1-22-220-10-22-22i3−i311-11i3−i32-200i3i3−i3−i3-100001-11-11-1i3−i3−i3i300-11−i3i3−i3i302-200-2200000000-11i3−i30000001-1−i3i300000
χ562-2-222-1-2211-2-1-22-220-10-22-22i3−i311-11i3−i32-200i3i3−i3−i3-100001-11-11-1i3−i3−i3i300-11−i3i3−i3i30-22002-2000000001-1−i3i3000000-11i3−i300000
χ5744444-2-4-4-2-24-244004-2-40000-2-2-2-2-2222-4-4-4-4222220004000000-2-200002200000000000000000000000000000000000000
χ5844444-2-4-4-2-24-24400-4-24000022-2-2-22-2-2-4-444-2-2-2-22000-40000002200002200000000000000000000000000000000000000
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
χ604444-2-244-2-2-2-2-2-244-41-4-2-2-2-222111-222-2-222-1-1-1-1-200-42-2-21111-1-1222211-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-4-44142222-2-2111-2-2-2-2-2-2-21111-200-4-222-1-1-1-111222211-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-4-4-41-4222222111-222-2-222-1-1-1-1-2004222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-20041-4−2i3−2i32i32i3-2-21112222222-1-1-1-12000-200i3i3−i3−i31100−2i32i3-1-1i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-20041-42i32i3−2i3−2i3-2-21112222222-1-1-1-12000-200−i3−i3i3i311002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-200-414−2i3−2i32i32i3221112-2-222-2-211112000200i3i3−i3−i3-1-1002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-200-4142i32i3−2i3−2i3221112-2-222-2-211112000200−i3−i3i3i3-1-100−2i32i3-1-1i3i3−i3−i30000000000000000000000000000000000
χ6744-4-444004-4-4-44-4000400000004-4-40000000000004i−4i000000000000000000000000000004i−4i00000000000000000000000
χ6844-4-444004-4-4-44-4000400000004-4-4000000000000−4i4i00000000000000000000000000000−4i4i00000000000000000000000
χ6944-4-4-24004-42-4-22000-20000000-2220000023−2323−2323−2304i−4i000000000000000000000000000−2i32i3−2i2i00000000000000000000000
χ7044-4-4-24004-42-4-22000-20000000-2220000023−2323−2323−230−4i4i0000000000000000000000000002i3−2i32i−2i00000000000000000000000
χ7144-4-4-24004-42-4-22000-20000000-22200000−2323−2323−232304i−4i0000000000000000000000000002i3−2i3−2i2i00000000000000000000000
χ7244-4-4-24004-42-4-22000-20000000-22200000−2323−2323−23230−4i4i000000000000000000000000000−2i32i32i−2i00000000000000000000000
χ734-44-44400-444-4-4-400040000000-44-4000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ744-44-44400-444-4-4-400040000000-44-40000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ754-4-44444-4-4-4-44-4400040000000-4-44400-44000000-40000000000000000-4400000000000000000000000000000000000000
χ764-4-444-24-422-4-2-44000-200000−2i32i322-2-22i3−2i3-44002i32i3−2i3−2i320000000000−2i32i300002-200000000000000000000000000000000000000
χ774-4-444-24-422-4-2-44000-2000002i3−2i322-2-2−2i32i3-4400−2i3−2i32i32i3200000000002i3−2i300002-200000000000000000000000000000000000000
χ784-4-44-244-4-4-4242-2000-20−2i32i32i3−2i30022-24002-2000000-4000000−2i32i32i3−2i30000002-200000000000000000000000000000000000000
χ794-4-44-244-4-4-4242-2000-202i3−2i3−2i32i30022-24002-2000000-40000002i3−2i3−2i32i30000002-200000000000000000000000000000000000000
χ804-4-44-24-44-4-4242-24-40-20-22-220022-2-400-22000000400004-4-22-22000000-2200000000000000000000000000000000000000
χ814-4-44-24-44-4-4242-2-440-202-22-20022-2-400-2200000040000-442-22-2000000-2200000000000000000000000000000000000000
χ824-4-44-2-24-4222-22-200010−2i32i32i3−2i3−2i32i3-1-11-22i3−2i32-200−i3−i3i3i32000000i3−i3−i3i3i3−i30000-11-333-30000000000000000000000000000000000
χ834-4-44-2-24-4222-22-200010−2i32i32i3−2i32i3−2i3-1-11-2−2i32i32-200i3i3−i3−i32000000i3−i3−i3i3−i3i30000-113-3-330000000000000000000000000000000000
χ844-4-44-2-24-4222-22-2000102i3−2i3−2i32i3−2i32i3-1-11-22i3−2i32-200−i3−i3i3i32000000−i3i3i3−i3i3−i30000-113-3-330000000000000000000000000000000000
χ854-4-44-2-24-4222-22-2000102i3−2i3−2i32i32i3−2i3-1-11-2−2i32i32-200i3i3−i3−i32000000−i3i3i3−i3−i3i30000-11-333-30000000000000000000000000000000000
χ864-4-44-2-2-44222-22-24-4010-22-22−2i32i3-1-112−2i32i3-2200i3i3−i3−i3-20000-221-11-1i3−i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000000000
χ874-4-44-2-2-44222-22-24-4010-22-222i3−2i3-1-1122i3−2i3-2200−i3−i3i3i3-20000-221-11-1−i3i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000000000
χ884-4-44-2-2-44222-22-2-440102-22-2−2i32i3-1-112−2i32i3-2200i3i3−i3−i3-200002-2-11-11i3−i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000000000
χ894-4-44-2-2-44222-22-2-440102-22-22i3−2i3-1-1122i3−2i3-2200−i3−i3i3i3-200002-2-11-11−i3i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000000000
χ9088-8-88-400-44-848-8000-40000000-44400000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400-4444-44000200000002-2-20000043−43−2323−2323000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-4444-44000200000002-2-200000−434323−2323−23000000000000000000000000000000000000000000000000000000000
χ938-88-88-4004-484-8-8000-400000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4800-88-4-844000-400000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-4004-4-444400020000000-22-200000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4004-4-444400020000000-22-20000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000

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