Finite Group Databasebeta

← Group #11886909

Character table — Group #11886909

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size112222222224444444444444444466666666888888888888888121212121212121212121212161616161624242424242424242424242436364848727272
order12233446612122344466612121212121212121288882424242466681212121212121212122424224488242424242424612242424226666881212242424624228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-11-11111111111111-1-11-1-1-11-11-111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-11-11-1-1-1-1-1-1-1-11111111-1111-11-11-1-1-1-111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111-1-1111-1-1-1-11111111-1-11111111-111-1-11-1-1-1-1-1-1-11-111-111-1-1-1-111-1-1-11-1-11111-1-111111-1-11-1-1
χ611111111111111-1-1111-1-1-1-11111111-1-11111111-111-1-11-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-11-1-1-1-111-1-111-1-111-111
χ711111111111111-1-1111-1-1-1-111111-1-111-1-1-1-1111-111-1-11-1-1-1-1-1-11111-11-1-1111111-1-1-11-11111-1-111-1-1-1-1-1-1-111
χ811111111111111-1-1111-1-1-1-111111-1-111-1-1-1-1111-111-1-11-1-1-1-1-1-11-11-1-11-1-1111111-1-1-1-111-1-1-1-111-1-1-111111-1-1
χ911111111111-11-11111111111111111111111-1-11-1-1-11111111-1-1-11-1111111111-1-1-1-1-1-1-1-11-1-1-11-11-1-111-11-1-11
χ1011111111111-11-11111111111111111111111-1-11-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111-1
χ1111111111111-11-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1111-1
χ1211111111111-11-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-11111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-11-111111-1-1-11
χ1311111111111-11-1-1-1111-1-1-1-11111111-1-11111-1-111-1-1-1-11-1-1-1-11111111-111-1-1-1-1-1-1111-1111-1-1-1-111-1-1111-1-11-1
χ1411111111111-11-1-1-1111-1-1-1-11111111-1-11111-1-111-1-1-1-11-1-1-1-1111-11-11-111-1-1-1-1-1-11111-11-111-111-1-1-1-1-1-111-11
χ1511111111111-11-1-1-1111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-11-1-1-1-111-11-11-11-1-11111-1-1111-11-11-1-11-1-1111-1-11-11-11
χ1611111111111-11-1-1-1111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1-11-1-11111-1-11111-1-1-11111-1-11111-11-11-1
χ172222-1222-1222-12222-1-12222-1-1-12-1000000002-1-122-1-1-1-1-1-1-1-122020200000000-1-1-1-1-1220-1-1-1020-10000-1-1000
χ182222-1222-1222-12222-1-12222-1-1-12-1000000002-1-122-1-1-1-1-1-1-1-1220-20-200000000-1-1-1-1-1-2-201110-201000011000
χ192222-1222-1222-12-2-22-1-1-2-2-2-2-1-1-12-1000000002-1-1-22-111-11111-2-2020200000000-1-11112-20-1-1-10-20-1000011000
χ202222-1222-1222-12-2-22-1-1-2-2-2-2-1-1-12-1000000002-1-1-22-111-11111-2-20-20-200000000-1-1111-22011102010000-1-1000
χ212222-1222-122-2-1-2222-1-12222-1-1-12-100000000-21-1-2-21-1-1-1-1-1-1-1-2-202020000000011111-2-20-111020-100001-1000
χ222222-1222-122-2-1-2222-1-12222-1-1-12-100000000-21-1-2-21-1-1-1-1-1-1-1-2-20-20-200000000111112201-1-10-2010000-11000
χ232222-1222-122-2-1-2-2-22-1-1-2-2-2-2-1-1-12-100000000-21-12-2111-111112202020000000011-1-1-1-220-1110-20-10000-11000
χ242222-1222-122-2-1-2-2-22-1-1-2-2-2-2-1-1-12-100000000-21-12-2111-11111220-20-20000000011-1-1-12-201-1-1020100001-1000
χ25222-1222-12-1-12-1222-12-1-1-1-1-12-1-1-122222-1-1-1-1-12-12-1222-1-1-1-1-1-1-1202022-1-1-1-1-1-1-1-12-1-100-100020-10-1-10000000
χ26222-1222-12-1-12-1222-12-1-1-1-1-12-1-1-12-2-2-2-21111-12-12-1222-1-1-1-1-1-1-1-20-20-2-2111111-1-12-1-1001000-2010110000000
χ27222-1222-12-1-12-12-2-2-12-111112-1-1-1222-2-2-1-1-1-1-12-1-2-12-2-2-1111111-20-202-2-1-11111-1-1-2110010002010-1-10000000
χ28222-1222-12-1-12-12-2-2-12-111112-1-1-12-2-2221111-12-1-2-12-2-2-11111112020-2211-1-1-1-1-1-1-21100-1000-20-10110000000
χ29222-1222-12-1-1-2-1-222-12-1-1-1-1-12-1-1-122222-1-1-1-11-2-1-21-222-1-1-1-1-111-20-2022-1-1-1-1-1-111-211001000-2010110000000
χ30222-1222-12-1-1-2-1-222-12-1-1-1-1-12-1-1-12-2-2-2-211111-2-1-21-222-1-1-1-1-1112020-2-211111111-21100-100020-10-1-10000000
χ31222-1222-12-1-1-2-1-2-2-2-12-111112-1-1-1222-2-2-1-1-1-11-2-121-2-2-2-11111-1-120202-2-1-11111112-1-100-1000-20-10110000000
χ32222-1222-12-1-1-2-1-2-2-2-12-111112-1-1-12-2-22211111-2-121-2-2-2-11111-1-1-20-20-2211-1-1-1-1112-1-10010002010-1-10000000
χ3322-2222-2222202000-2-220000222-2-22200222200-200000-2000000020-2-20-2-2000000000000200000-2002-200000
χ3422-2222-2222202000-2-220000222-2-22200222200-200000-20000000-202-20-2-2000000000000-200000200-2200000
χ3522-2222-2222202000-2-220000222-2-2-2-200-2-2-2-200-200000-2000000020-22022000000000000200000-200-2200000
χ3622-2222-2222202000-2-220000222-2-2-2-200-2-2-2-200-200000-20000000-2022022000000000000-2000002002-200000
χ3722-222-2222-2-222-200-2-220000-2-2-2220022000022-20-2-200200000020-200-20022-2-22-200000200000-20000000000
χ3822-222-2222-2-222-200-2-220000-2-2-22200-2-2000022-20-2-2002000000-20200200-2-2222-200000-20000020000000000
χ3922-222-2222-2-2-22200-2-220000-2-2-22200220000-2-2-2022002000000-20200-20022-2-2-2200000-20000020000000000
χ4022-222-2222-2-2-22200-2-220000-2-2-22200-2-20000-2-2-202200200000020-200200-2-222-2200000200000-20000000000
χ4122-2-12-22-12112-1-2001-2-133−3−3-211-12002233−3−3-12101-200-133−3−33−320-200-23−3-1-111-1103−300-100000103−30000000
χ4222-2-12-22-12112-1-2001-2-133−3−3-211-1200-2-2−3−333-12101-200-133−3−33−3-202002−3311-1-1-1103−300100000-10−330000000
χ4322-2-12-22-12112-1-2001-2-1−3−333-211-120022−3−333-12101-200-1−3−333−3320-200-2−33-1-111-110−3300-10000010−330000000
χ4422-2-12-22-12112-1-2001-2-1−3−333-211-1200-2-233−3−3-12101-200-1−3−333−33-2020023−311-1-1-110−3300100000-103−30000000
χ4522-2-12-22-1211-2-12001-2-133−3−3-211-12002233−3−31-210-1200-133−3−3−33-20200-23−3-1-1111-10−3300100000-10−330000000
χ4622-2-12-22-1211-2-12001-2-133−3−3-211-1200-2-2−3−3331-210-1200-133−3−3−3320-2002−3311-1-11-10−3300-100000103−30000000
χ4722-2-12-22-1211-2-12001-2-1−3−333-211-120022−3−3331-210-1200-1−3−3333−3-20200-2−33-1-1111-103−300100000-103−30000000
χ4822-2-12-22-1211-2-12001-2-1−3−333-211-1200-2-233−3−31-210-1200-1−3−3333−320-20023−311-1-11-103−300-10000010−330000000
χ4944444-4-444-4-4040004440000-4-4-4-4-40000000000400000-4000000000000000000000000000000000000000000
χ504444-2-4-44-2-4-40-20004-2-20000222-420000000000-2000002000000000000000000000000000−2i32i30000000000000
χ514444-2-4-44-2-4-40-20004-2-20000222-420000000000-20000020000000000000000000000000002i3−2i30000000000000
χ52444-24-4-4-24220-2000-24-20000-4222-400002323−23−2300-2000002000000000000−23230000000000000000000000000000
χ53444-24-4-4-24220-2000-24-20000-4222-40000−23−23232300-200000200000000000023−230000000000000000000000000000
χ54444-2-244-2-2-2-241444-2-21-2-2-2-2-211-2-200000000-2-214-2-2-2-211111-2-200000000000011-2110000000000000000000
χ55444-2-244-2-2-2-2414-4-4-2-212222-211-2-200000000-2-21-4-2-2221-1-1-1-122000000000000112-1-10000000000000000000
χ56444-2-244-2-2-2-2-41-444-2-21-2-2-2-2-211-2-200000000221-422-2-21111122000000000000-1-12-1-10000000000000000000
χ57444-2-244-2-2-2-2-41-4-4-4-2-212222-211-2-200000000221422221-1-1-1-1-2-2000000000000-1-1-2110000000000000000000
χ5844-44-24-44-2440-2000-42-20000-2-2-2-4200000000002000002000000040-40000000000000000-2000002000000000
χ5944-44-24-44-2440-2000-42-20000-2-2-2-42000000000020000020000000-4040000000000000000200000-2000000000
χ6044-44-2-444-2-4-44-2-400-42-200002224-2000000004-220-4200-2000000000000000000-220000000000000000000000
χ6144-44-2-444-2-4-4-4-2400-42-200002224-200000000-42204-200-20000000000000000002-20000000000000000000000
χ6244-4-244-4-24-2-20-20002-4-200004-2-22-44400-2-2-2-20020000020000000000-40220000000000000000000000000000
χ6344-4-244-4-24-2-20-20002-4-200004-2-22-4-4-4002222002000002000000000040-2-20000000000000000000000000000
χ6444-4-2-2-44-2-22241-4002212323−23−232-1-1-2-200000000-2-2-1022001−3−33323−230000000000001-10−330000000000000000000
χ6544-4-2-2-44-2-22241-400221−23−2323232-1-1-2-200000000-2-2-102200133−3−3−23230000000000001-103−30000000000000000000
χ6644-4-2-2-44-2-222-414002212323−23−232-1-1-2-20000000022-10-2-2001−3−333−2323000000000000-1103−30000000000000000000
χ6744-4-2-2-44-2-222-41400221−23−2323232-1-1-2-20000000022-10-2-200133−3−323−23000000000000-110−330000000000000000000
χ684-404400-4-4000402-200-42-22-20000022−2222−2222−2222−220000002-202-22-2000000000022−2200000000000000000000000000
χ694-404400-4-4000402-200-42-22-200000−2222−2222−2222−22220000002-202-22-20000000000−222200000000000000000000000000
χ704-404400-4-400040-2200-4-22-220000022−22−222222−2222−22000000-220-22-220000000000−222200000000000000000000000000
χ714-404400-4-400040-2200-4-22-2200000−222222−22−2222−2222000000-220-22-22000000000022−2200000000000000000000000000
χ724-40-24002-423−230-202-2002−1+31−3−1−31+3023−230022−2222−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000002-20−1+31−3−1−31+30000000000−226−6000000000000000000000000
χ734-40-24002-423−230-202-2002−1+31−3−1−31+3023−2300−2222−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000002-20−1+31−3−1−31+300000000002−2−66000000000000000000000000
χ744-40-24002-423−230-20-220021−3−1+31+3−1−3023−230022−22−22222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000000-2201−3−1+31+3−1−300000000002−2−66000000000000000000000000
χ754-40-24002-423−230-20-220021−3−1+31+3−1−3023−2300−222222−22−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000-2201−3−1+31+3−1−30000000000−226−6000000000000000000000000
χ764-40-24002-4−23230-202-2002−1−31+3−1+31−30−23230022−2222−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000002-20−1−31+3−1+31−30000000000−22−66000000000000000000000000
χ774-40-24002-4−23230-202-2002−1−31+3−1+31−30−232300−2222−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000002-20−1−31+3−1+31−300000000002−26−6000000000000000000000000
χ784-40-24002-4−23230-20-220021+3−1−31−3−1+30−23230022−22−22222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000000-2201+3−1−31−3−1+300000000002−26−6000000000000000000000000
χ794-40-24002-4−23230-20-220021+3−1−31−3−1+30−232300−222222−22−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000-2201+3−1−31−3−1+30000000000−22−66000000000000000000000000
χ80888-4-4-8-8-4-44402000-4-4200004-2-2440000000000200000-2000000000000000000000000000000000000000000
χ8188-8-4-48-8-4-4-4-4020004420000-422440000000000-200000-2000000000000000000000000000000000000000000
χ828-808-400-84000-404-40044-44-40000000000000000000-220-22-2200000000000000000000000000000000000000
χ838-808-400-84000-40-44004-44-4400000000000000000002-202-22-200000000000000000000000000000000000000
χ848-80-4-4004443−430204-400-2−2+232−23−2−232+230−23230000000000000000-2201−3−1+31+3−1−300000000000000000000000000000000000000
χ858-80-4-4004443−43020-4400-22−23−2+232+23−2−230−232300000000000000002-20−1+31−3−1−31+300000000000000000000000000000000000000
χ868-80-4-40044−43430204-400-2−2−232+23−2+232−23023−230000000000000000-2201+3−1−31−3−1+300000000000000000000000000000000000000
χ878-80-4-40044−4343020-4400-22+23−2−232−23−2+23023−2300000000000000002-20−1−31+3−1+31−300000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.