Finite Group Databasebeta

← Group #11887636

Character table — Group #11887636

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order122222334466666634446666666666612121212121212122244412121212121212121212121212121212121212124466888812128888444412121212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ5111111111111111111-1-11111111111111-1-1-1-1111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1-11-1-11111-1-111-1-1-1
χ6111111111111111111-1-11111111111111-1-1-1-1111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-111-1-11-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-11111111111111-1-1-1-111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-111-111111111-1-1-1-11
χ8111111111111111111-1-11111111111111-1-1-1-111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-11111-1
χ91111-1-111111111111-111-1-1-1-111-1-1-1-111111111111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-111-111
χ101111-1-111111111111-111-1-1-1-111-1-1-1-111111111111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-111111-1-11-1-1-1111-1-11111-1-11-1-1
χ111111-1-111111111111-111-1-1-1-111-1-1-1-1111111111-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-1111111-111-1111-1-1-111-1-111-1-1-11-1
χ121111-1-111111111111-111-1-1-1-111-1-1-1-1111111111-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-111-1-1111-11
χ131111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-11-1-1-111-11111-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-111111-1-1
χ141111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-11-1-1-111-11111-1-1-1-1-1-111111-111-1-111-1-11111-111-1-1111-1-1-1-111-1-1-1-1-111
χ151111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-1111-1-1-111-11111-1-1-1-1-1-11111-11-1-111-1-11111111-1-111-1-1-11111-1-1-1-1-1-11-11
χ161111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-1111-1-1-111-11111-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-111-1-11-1-1-111-1-1111111-11-1
χ1722222222-2-22222222-20022222222222-2-20000-2-222220-20000-200-2-2-2-200000000-2-22200002200000000-200-20000000000000
χ1822222222-2-22222222-20022222222222-2-20000-2-2-2-2-2-20-20000-200-2-2-2-20000000022-2-20000-2-20000000020020000000000000
χ192222222-1222-12-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-10000-1-100002020-1-1-1-1-1-100000000000
χ202222222-1222-12-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2110000110000-20-2011111100000000000
χ212222222-1222-12-12-1-12-2-222-1-1-1-1-1-1-1-1-1-1-11111222222-22-2-2-2-2-111-1-1-1-11111111122-1-10000-1-10000-20-20-111-11100000000000
χ222222222-1222-12-12-1-12-2-222-1-1-1-1-1-1-1-1-1-1-1111122-2-2-2-2-22-2-2-2-2-111-1-1-1-111111111-2-211000011000020201-1-11-1-100000000000
χ232222222-1-2-22-12-12-1-1-20022-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-222220-200001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-2-1-10000-1-1000000001−i3i31−i3i300000000000
χ242222222-1-2-22-12-12-1-1-20022-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-2-2-2-2-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i3221100001100000000-1i3−i3-1i3−i300000000000
χ252222222-1-2-22-12-12-1-1-20022-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-222220-200001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-2-1-10000-1-1000000001i3−i31i3−i300000000000
χ262222222-1-2-22-12-12-1-1-20022-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-2-2-2-2-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i3221100001100000000-1−i3i3-1−i3i300000000000
χ27222222-1222-12-12-12-1222-1-122-1-1-1-1-1-1-1222222-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000022220000000202000000-1-1-1-10000-1-10
χ28222222-1222-12-12-12-1222-1-122-1-1-1-1-1-1-1222222-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000-20-200000011110000110
χ29222222-1222-12-12-12-12-2-2-1-122-1-1-1-1-1-1-122-2-2-2-2-1-10000-2-111112-2-2-1-1-1-111111111000022220000000-20-2000000-1-1-1-10000110
χ30222222-1222-12-12-12-12-2-2-1-122-1-1-1-1-1-1-122-2-2-2-2-1-10000-2-111112-2-2-1-1-1-1111111110000-2-2-2-2000000020200000011110000-1-10
χ312222-2-222-2-22222222200-2-2-2-222-2-2-2-22-2-20000-2-222-2-2020000200-2-22200000000-22220000-2-200000000200-20000000000000
χ322222-2-222-2-22222222200-2-2-2-222-2-2-2-22-2-20000-2-2-2-222020000200-2-222000000002-2-2-200002200000000-20020000000000000
χ332222-2-22-1222-12-12-1-1-222-2-211-1-11111-1-1-1-1-1-1-12222-2-2-2-222-2-2111-1-111-1-1-1-111112-2-1-1000011000020-20111-1-1-100000000000
χ342222-2-22-1222-12-12-1-1-222-2-211-1-11111-1-1-1-1-1-1-122-2-222-2-222-2-2111-1-111-1-1-1-11111-22110000-1-10000-2020-1-1-111100000000000
χ352222-2-22-1222-12-12-1-1-2-2-2-2-211-1-11111-1-1-111112222-2-22-2-2-2221-1-1-1-1111111-1-1-1-12-2-1-10000110000-20201-1-1-11100000000000
χ362222-2-22-1222-12-12-1-1-2-2-2-2-211-1-11111-1-1-1111122-2-2222-2-2-2221-1-1-1-1111111-1-1-1-1-22110000-1-1000020-20-1111-1-100000000000
χ372222-2-22-1-2-22-12-12-1-1200-2-211-1-11111-111−i3−i3i3i3-2-222-2-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-22-1-100001100000000-1i3−i31−i3i300000000000
χ382222-2-22-1-2-22-12-12-1-1200-2-211-1-11111-111−i3−i3i3i3-2-2-2-222020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2110000-1-1000000001−i3i3-1i3−i300000000000
χ392222-2-22-1-2-22-12-12-1-1200-2-211-1-11111-111i3i3−i3−i3-2-222-2-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-22-1-100001100000000-1−i3i31i3−i300000000000
χ402222-2-22-1-2-22-12-12-1-1200-2-211-1-11111-111i3i3−i3−i3-2-2-2-222020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2110000-1-1000000001i3−i3-1−i3i300000000000
χ412222-2-2-1222-12-12-12-1-22211-2-2-1-11111-1222222-1-10000-21-1-111-2-2-2-1-111-1-1-1-11111000022-2-2000000020-2000000-1-11100001-10
χ422222-2-2-1222-12-12-12-1-22211-2-2-1-11111-1222222-1-10000-21-1-111-2-2-2-1-111-1-1-1-111110000-2-2220000000-20200000011-1-10000-110
χ432222-2-2-1222-12-12-12-1-2-2-211-2-2-1-11111-122-2-2-2-2-1-100002111-1-1-222-1-1111111-1-1-1-1000022-2-20000000-202000000-1-1110000-110
χ442222-2-2-1222-12-12-12-1-2-2-211-2-2-1-11111-122-2-2-2-2-1-100002111-1-1-222-1-1111111-1-1-1-10000-2-222000000020-200000011-1-100001-10
χ4522-2-22-2220022-2-2-2-220002-22-22-222-2-2-2000000002-22-2000000000000000000000002-22−22−22-222−2−200000000002−22−2002−2000
χ4622-2-22-2220022-2-2-2-220002-22-22-222-2-2-2000000002-22-2000000000000000000000002-2−22−222-2−2−2220000000000−22−2200−22000
χ4722-2-22-2220022-2-2-2-220002-22-22-222-2-2-200000000-22-2200000000000000000000000-222−22−2-22−2−22200000000002−22−200−22000
χ4822-2-22-2220022-2-2-2-220002-22-22-222-2-2-200000000-22-2200000000000000000000000-22−22−22-2222−2−20000000000−22−22002−2000
χ4922-2-2-22220022-2-2-2-22000-22-222-2-2-222-2000000002-2-22000000000000000000000002-22−2−22-22−2−22200000000002−2−22002−2000
χ5022-2-2-22220022-2-2-2-22000-22-222-2-2-222-2000000002-2-22000000000000000000000002-2−222−2-2222−2−20000000000−222−200−22000
χ5122-2-2-22220022-2-2-2-22000-22-222-2-2-222-200000000-222-200000000000000000000000-222−2−222-222−2−200000000002−2−2200−22000
χ5222-2-2-22220022-2-2-2-22000-22-222-2-2-222-200000000-222-200000000000000000000000-22−222−22-2−2−2220000000000−222−2002−2000
χ532-22-200222-2-2-2-2-222202-20000-2-2000022-22-22-22-20000002-2000002-2002-22-2000000000000002i−2i2i−2i000000000000002i−2i00000
χ542-22-200222-2-2-2-2-222202-20000-2-2000022-22-22-22-20000002-2000002-2002-22-200000000000000−2i2i−2i2i00000000000000−2i2i00000
χ552-22-200222-2-2-2-2-22220-220000-2-2000022-2-22-222-2000000-22000002-200-22-22000000000000002i−2i2i−2i00000000000000−2i2i00000
χ562-22-200222-2-2-2-2-22220-220000-2-2000022-2-22-222-2000000-22000002-200-22-2200000000000000−2i2i−2i2i000000000000002i−2i00000
χ57444444-24-4-4-24-24-24-2-400-2-244-2-2-2-2-2-2-2-4-40000220000020000-40022220000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-21444-2-2-2-21111111-2-2-2-2-2-2-2-200004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000
χ59444444-2-244-2-2-2-2-2-214-4-4-2-2-2-21111111-2-22222-2-20000-4-22222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-21-400-2-2-2-2111111122−2i3−2i32i32i32200000200002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-21-400-2-2-2-21111111222i32i3−2i3−2i322000002000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ624444-4-4-24-4-4-24-24-24-240022-4-4-2-22222-2-4-400002200000-2000040022-2-20000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-21-444222211-1-1-1-11-2-2-2-2-2-2-2-20000-42-2-22222211-1-11111-1-1-1-100000000000000000000000000000000000
χ644444-4-4-2-244-2-2-2-2-2-21-4-4-4222211-1-1-1-11-2-22222-2-200004222-2-22-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-21400222211-1-1-1-1122−2i3−2i32i32i32200000-20000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-21400222211-1-1-1-11222i32i3−2i3−2i32200000-20000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-44-44-2004-2-42-42-20004-4-22-22-2-2222000000004-44-400000000000000000000000-220000-220000000000000000000000000
χ6844-4-44-44-2004-2-42-42-20004-4-22-22-2-222200000000-44-44000000000000000000000002-200002-20000000000000000000000000
χ6944-4-44-4-2400-242-42-4-2000-224-4-22-2-2222000000000000000000000000000000000000022−2222−220000000000000000−22−220000000
χ7044-4-44-4-2400-242-42-4-2000-224-4-22-2-22220000000000000000000000000000000000000−2222−222200000000000000002−22−20000000
χ7144-4-4-444-2004-2-42-42-2000-442-2-2222-2-22000000004-4-4400000000000000000000000-2200002-20000000000000000000000000
χ7244-4-4-444-2004-2-42-42-2000-442-2-2222-2-2200000000-444-4000000000000000000000002-20000-220000000000000000000000000
χ7344-4-4-44-2400-242-42-4-20002-2-44-2222-2-22000000000000000000000000000000000000022−22−22220000000000000000−222−20000000
χ7444-4-4-44-2400-242-42-4-20002-2-44-2222-2-220000000000000000000000000000000000000−222222−2200000000000000002−2−220000000
χ754-44-40044-44-4-4-4-44440000000-4-400004-440000-440000000000000-44000000000000000000000000000000000000000000000
χ764-44-4004-24-4-42-424-2-204-40000220000-2-22-22-224-40000004-400000-2200-22-22000000000000000000000000000000000000000
χ774-44-4004-24-4-42-424-2-20-440000220000-2-222-22-24-4000000-4400000-22002-22-2000000000000000000000000000000000000000
χ784-44-4004-2-44-42-424-2-20000000220000-22-2−2i32i32i3−2i3-4400000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000000
χ794-44-4004-2-44-42-424-2-20000000220000-22-22i3−2i3−2i32i3-4400000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000000
χ804-44-400-244-42-42-4-24-204-40000220000-24-44-44-4-22000000-2200000-2200-22-22000000000000000000000000000000000000000
χ814-44-400-244-42-42-4-24-20-440000220000-24-4-44-44-220000002-200000-22002-22-2000000000000000000000000000000000000000
χ824-44-400-24-442-42-4-24-20000000220000-2-4400002-200000000−2i32i30002-2000000−2i32i3−2i32i300000000000000000000000000000000000
χ834-44-400-24-442-42-4-24-20000000220000-2-4400002-2000000002i3−2i30002-20000002i3−2i32i3−2i300000000000000000000000000000000000
χ844-44-400-2-24-42222-2-2104-40000-1-13-33-31-22-22-22-22000000-22000001-13-31-11-13-3-3300000000000000000000000000000000000
χ854-44-400-2-24-42222-2-2104-40000-1-1-33-331-22-22-22-22000000-22000001-1-331-11-1-333-300000000000000000000000000000000000
χ864-44-400-2-24-42222-2-210-440000-1-13-33-31-222-22-2-220000002-2000001-13-3-11-11-333-300000000000000000000000000000000000
χ874-44-400-2-24-42222-2-210-440000-1-1-33-331-222-22-2-220000002-2000001-1-33-11-113-3-3300000000000000000000000000000000000
χ884-44-400-2-2-442222-2-210000000-1-13-33-312-2−2i32i32i3−2i32-2000000002i3−2i3000-11-33i3−i3−i3i3−i3i3−i3i300000000000000000000000000000000000
χ894-44-400-2-2-442222-2-210000000-1-13-33-312-22i3−2i3−2i32i32-200000000−2i32i3000-11-33−i3i3i3−i3i3−i3i3−i300000000000000000000000000000000000
χ904-44-400-2-2-442222-2-210000000-1-1-33-3312-2−2i32i32i3−2i32-200000000−2i32i3000-113-3i3−i3−i3i3i3−i3i3−i300000000000000000000000000000000000
χ914-44-400-2-2-442222-2-210000000-1-1-33-3312-22i3−2i3−2i32i32-2000000002i3−2i3000-113-3−i3i3i3−i3−i3i3−i3i300000000000000000000000000000000000
χ924-4-44004400-4-444-4-440000000-440000-40000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ934-4-44004400-4-444-4-440000000-440000-400000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ9488-8-88-8-4-400-4-444442000-44-442-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-88-4-400-4-4444420004-44-42-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88008-400-848-4-84-400000004-40000400000000000000000000000000000000000000000000000000000000000000000000
χ978-8-8800-48004-8-484-8-400000004-40000400000000000000000000000000000000000000000000000000000000000000000000
χ988-8-8800-4-40044-4-44420000000-226-6-66-200000000000000000000000000000000000000000000000000000000000000000000
χ998-8-8800-4-40044-4-44420000000-22-666-6-200000000000000000000000000000000000000000000000000000000000000000000

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