Finite Group Databasebeta

← Group #11864539

Character table — Group #11864539

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666622366612121212224446666812121212242424242424242424444466881212121266121212446812121212121224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-111-1-1-111-1-1-1-11111111-11-11-1-11111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-11-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111-1-1111-1-11111-1-1111111-11-111-1-1-1-111-1-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-111-1-1-1-111111-1-111-1-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-111-11-1-1-1-11111111111-1-11-1
χ911111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-111-1-11111-1-1111111-1-1-1-1-111-1-1-1-111-1-1-1-111
χ1011111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111-11-1-111-1-11111-1-1-1-11111-1-1
χ1111111111111111-1-1111111111111-1-1-1-1-11-1-111111111111-1-11-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1
χ1211111111111111-1-1111111111111-1-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-1111-1-1-1-1-1-111-1-111-1-111
χ1311111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-111-1-1-1-111-1-111111-1
χ1411111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1111-1-1-111111-1-1111111-1-1-1-1-11
χ1511111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-111-1-1-11
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111-1
χ17222222-2-2222222002222-2-2-2-222-2-200000000-2-200000000200-2002200-2-2-2-20000000200000000000-22000000
χ18222222-2-2222222002222-2-2-2-222-2-200000000-2-200000000-200200220022-2-20000000-2000000000002-2000000
χ19222222-2-2222222002222-2-2-2-2-2-22200000000-2-200000000200-200-2-200-2-22200000002000000000002-2000000
χ20222222-2-2222222002222-2-2-2-2-2-22200000000-2-200000000-200200-2-20022220000000-200000000000-22000000
χ2122222-12222-1-1-1222-1-1-1-12-1-120000222-1-1222-1-1-1-122-1-1-1-12002220022-1-100-1-1-1-1-120-10-1-10000-1-100000000-10
χ2222222-12222-1-1-1222-1-1-1-12-1-120000222-1-1222-1-1-1-122-1-1-1-1-200-2-2-200-2-21100-1-1-1-1-1-2010110000110000000010
χ2322222-12222-1-1-1222-1-1-1-12-1-120000-222-1-1-2-2-2-1-111-2-2111120022200-2-2-1-100-1-1111-20-10-1-10000110000000010
χ2422222-12222-1-1-1222-1-1-1-12-1-120000-222-1-1-2-2-2-1-111-2-21111-200-2-2-200221100-1-11112010110000-1-100000000-10
χ2522222-12222-1-1-12-2-2-1-1-1-12-1-1200002-2-211-222-1-111-2-211112002-2-200-2-2-1-10011-1-1-120-101100001100000000-10
χ2622222-12222-1-1-12-2-2-1-1-1-12-1-1200002-2-211-222-1-111-2-21111-200-2220022110011-1-1-1-2010-1-10000-1-10000000010
χ2722222-12222-1-1-12-2-2-1-1-1-12-1-120000-2-2-2112-2-2-1-1-1-122-1-1-1-12002-2-20022-1-10011111-20-10110000-1-10000000010
χ2822222-12222-1-1-12-2-2-1-1-1-12-1-120000-2-2-2112-2-2-1-1-1-122-1-1-1-1-200-22200-2-21100111112010-1-100001100000000-10
χ292222-1222-1-1222-122-1-1-1-1-122-122222-1-1222-1-1-1-122-1-1-1-1-1-1022000-1-10000-1-1-1-12-1-1020200-1-1-1-100-1-100000000
χ302222-1222-1-1222-122-1-1-1-1-122-12222-2-1-122-211-1-1-2-2111111022000-1-10000-1-1-1-1-2110-20-200-1-111001100000000
χ312222-1222-1-1222-122-1-1-1-1-122-1-2-2-2-22-1-1222-1-1-1-122-1-1-1-1-1-10-2-200011000011-1-12-1-10-20-2001111001100000000
χ322222-1222-1-1222-122-1-1-1-1-122-1-2-2-2-2-2-1-122-211-1-1-2-21111110-2-200011000011-1-1-21102020011-1-100-1-100000000
χ332222-1222-1-1222-1-2-2-1-1-1-1-122-12222211-2-2-2-1-1-1-1-2-21111110-2-2000-1-10000-1-1112-1-1020-20011-1-1001100000000
χ342222-1222-1-1222-1-2-2-1-1-1-1-122-12222-211-2-2211-1-122-1-1-1-1-1-10-2-2000-1-10000-1-111-2110-20200111100-1-100000000
χ352222-1222-1-1222-1-2-2-1-1-1-1-122-1-2-2-2-2211-2-2-2-1-1-1-1-2-211111102200011000011112-1-10-20200-1-11100-1-100000000
χ362222-1222-1-1222-1-2-2-1-1-1-1-122-1-2-2-2-2-211-2-2211-1-122-1-1-1-1-1-10220001100001111-211020-200-1-1-1-1001100000000
χ372-2-22222-2-2-2-2-2222-22-2-22-22-222-22-202-22-2000-220000000002-20002-200002-22-20000000002-200000000000000
χ382-2-22222-2-2-2-2-2222-22-2-22-22-22-22-2202-22-2000-22000000000-22000-220000-222-2000000000-2200000000000000
χ392-2-22222-2-2-2-2-222-222-2-22-22-222-22-20-22-22000-22000000000-220002-200002-2-22000000000-2200000000000000
χ402-2-22222-2-2-2-2-222-222-2-22-22-22-22-220-22-22000-220000000002-2000-220000-22-220000000002-200000000000000
χ412-2-2222-22-2-2-2-222002-2-222-22-22-2-22000000002-20000000000002-22-20000-220000000002-200000000002-20000
χ422-2-2222-22-2-2-2-222002-2-222-22-22-2-22000000002-2000000000000-222-20000-22000000000-220000000000-220000
χ432-2-2222-22-2-2-2-222002-2-222-22-2-222-2000000002-20000000000002-2-2200002-20000000002-20000000000-220000
χ442-2-2222-22-2-2-2-222002-2-222-22-2-222-2000000002-2000000000000-22-2200002-2000000000-2200000000002-20000
χ452-2-22-122-211-2-22-12-2-111-112-2-12-22-20-112-20−i3i31-100−i3i3−i3−i3i3i302-2000-110000-11-110−i3i3000000-11−i3i300−i3i300000000
χ462-2-22-122-211-2-22-12-2-111-112-2-12-22-20-112-20i3−i31-100i3−i3i3i3−i3−i302-2000-110000-11-110i3−i3000000-11i3−i300i3−i300000000
χ472-2-22-122-211-2-22-12-2-111-112-2-1-22-220-112-20−i3i31-100−i3i3−i3−i3i3i30-220001-100001-1-110−i3i30000001-1i3−i300i3−i300000000
χ482-2-22-122-211-2-22-12-2-111-112-2-1-22-220-112-20i3−i31-100i3−i3i3i3−i3−i30-220001-100001-1-110i3−i30000001-1−i3i300−i3i300000000
χ492-2-22-122-211-2-22-1-22-111-112-2-12-22-201-1-220−i3i31-100i3−i3i3i3−i3−i30-22000-110000-111-10−i3i30000001-1−i3i300i3−i300000000
χ502-2-22-122-211-2-22-1-22-111-112-2-12-22-201-1-220i3−i31-100−i3i3−i3−i3i3i30-22000-110000-111-10i3−i30000001-1i3−i300−i3i300000000
χ512-2-22-122-211-2-22-1-22-111-112-2-1-22-2201-1-220−i3i31-100i3−i3i3i3−i3−i302-20001-100001-11-10−i3i3000000-11i3−i300−i3i300000000
χ522-2-22-122-211-2-22-1-22-111-112-2-1-22-2201-1-220i3−i31-100−i3i3−i3−i3i3i302-20001-100001-11-10i3−i3000000-11−i3i300i3−i300000000
χ5344444-2-4-444-2-2-2400-2-2-2-2-422-40000000000002200000000400-400000022000000000-20000000000000000000
χ5444444-2-4-444-2-2-2400-2-2-2-2-422-40000000000002200000000-4004000000-2-200000000020000000000000000000
χ554444-24-4-4-2-2444-200-2-2-2-22-4-4244-4-4000000002200000000000000-2-2000022000000000000000000000000000
χ564444-24-4-4-2-2444-200-2-2-2-22-4-42-4-444000000002200000000000000220000-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-200004-2-2-2-24-2-211-2-2-2-211110000000000000011-2110000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-20000-4-2-2-2-2-422112222-1-1-1-100000000000000112-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000042222-4-2-2112222-1-1-1-100000000000000-1-1-2110000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000-4222242211-2-2-2-2111100000000000000-1-12-1-10000000000000000000000
χ6144-4-444004-4-44-4-40044-4-4000000000000000000000000000000000022−22000000000000000000022−220000000000
χ6244-4-444004-4-44-4-40044-4-40000000000000000000000000000000000−22220000000000000000000−22220000000000
χ6344-4-44-2004-42-22-400-2-2220000000000000000006−6006−66−60000000022−2223−2300000000000000000−220000000000
χ6444-4-44-2004-42-22-400-2-2220000000000000000006−6006−66−600000000−2222−2323000000000000000002−20000000000
χ6544-4-44-2004-42-22-400-2-222000000000000000000−6600−66−660000000022−22−232300000000000000000−220000000000
χ6644-4-44-2004-42-22-400-2-222000000000000000000−6600−66−6600000000−222223−23000000000000000002−20000000000
χ674-44-44400-444-4-4-4004-44-400000000000000000000000000000000000000000000000000000000000000022−2200
χ684-44-44400-444-4-4-4004-44-4000000000000000000000000000000000000000000000000000000000000000−222200
χ694-4-444-24-4-4-422-244-4-222-2-4-224000004-4-220002-20000000000000000000000-220000000000000000000000000
χ704-4-444-24-4-4-422-24-44-222-2-4-22400000-442-20002-200000000000000000000002-20000000000000000000000000
χ714-4-444-2-44-4-422-2400-222-242-2-4000000000000-220000000000004-400000000000000000-220000000000000000
χ724-4-444-2-44-4-422-2400-222-242-2-4000000000000-22000000000000-44000000000000000002-20000000000000000
χ734-4-44-24-4422-4-44-200-222-2-2-4424-4-4400000000-2200000000000000-2200002-2000000000000000000000000000
χ744-4-44-24-4422-4-44-200-222-2-2-442-444-400000000-22000000000000002-20000-22000000000000000000000000000
χ754-4-44-2-24-42222-2-24-41-1-112-22-200000-22-220−2i32i3-1100−2i32i3i3i3−i3−i3000000000000001-10i3−i30000000000000000000000
χ764-4-44-2-24-42222-2-24-41-1-112-22-200000-22-2202i3−2i3-11002i3−2i3−i3−i3i3i3000000000000001-10−i3i30000000000000000000000
χ774-4-44-2-24-42222-2-2-441-1-112-22-2000002-22-20−2i32i3-11002i3−2i3−i3−i3i3i300000000000000-110i3−i30000000000000000000000
χ784-4-44-2-24-42222-2-2-441-1-112-22-2000002-22-202i3−2i3-1100−2i32i3i3i3−i3−i300000000000000-110−i3i30000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-40022224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4800-44-88-8400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-444-4440022-2-200000000000000000026−2600−66−6600000000000000000000000000000000000000000
χ8288-8-8-4-400-444-4440022-2-2000000000000000000−2626006−66−600000000000000000000000000000000000000000
χ838-88-88-400-88-444-800-44-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-48004-48-8-8400-44-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-4-4444002-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ868-88-8-4-4004-4-4444002-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-4002-2-22-44-440000000000002-20000000000000000000000000000000000000000000000000

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