Finite Group Databasebeta

← Group #11886916

Character table — Group #11886916

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size112222222222244444444444444444444666666888888888888888121212121212121212121212121212161616162424242424242424242424242424243636727272
order1223344668812122234466681212121212242424242424882424242466666121212121224242424242444668121212121212242466121222666688824242424242424228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111-1-11-1-11111111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-111111111111111111-1-111-111-1-1-1-1-1-11111111111-1-11-1-1-1-111-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111-1-11-1-1111111111111111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11
χ61111111111111-1-11-1-1111111111111111111111-1-1-1-11-1-1-1-1111111-1-111-1-11-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1
χ71111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ81111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-111-1-11
χ9111111111-1-1111-111-1111-111111-1-1-1-1-1-11111111-11-111-11-11-1-1-1-1-111-1-111111-1-1-1-1111-11-11-111-1-11-1-111-1-1-1-1111-1-1
χ10111111111-1-1111-111-1111-111111-1-1-1-1-1-11111111-11-111-11-11-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111-11-1-11-1-1111-1111-1-111-1-1-111
χ11111111111-1-1111-111-1111-111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-11-11-1-1-1-1-1111111-1111111-1-11-11-11-111-1-1-11-1-1-111-1-1-1-1-111
χ12111111111-1-1111-111-1111-111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-11-11-1-1-1-1-1-1-111-1-1-1-1-11111-1-11-11-1-11-1-111-111-1-11111111-1-1
χ13111111111-1-111-111-11111-111111-1-1-1-1-1-1111111-11-111-11-111-1-1-1-1-111-1-111111-1-1-1-111-11-11-11-1-111-11-1-1-111-1-111-11-1
χ14111111111-1-111-111-11111-111111-1-1-1-1-1-1111111-11-111-11-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-11-111-111-1-1-111-1-11111-1-11-11
χ15111111111-1-111-111-11111-111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-111-1-1-1-1-1111111-1111111-1-1-11-11-11-1-1111-1-111-1-1-1-1-1-11-11
χ16111111111-1-111-111-11111-111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-111-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-11-111-111-1-11-1111-1-11111-11-1
χ172222-1222-1222222-122-12-12-1-1-12-12222-1-100000022-1-1-122-1-1-1-1-1-1-1-12200-1-10-1-1000000-1-1-1-122-1-1-1-10020000-1-100000
χ182222-1222-1222222-122-12-12-1-1-12-12222-1-100000022-1-1-122-1-1-1-1-1-1-1-1-2-20011011000000-1-1-1-1-2-2111100-200001100000
χ192222-1222-12222-2-2-1-2-2-12-12-1-1-12-12222-1-1000000-2-211-1-2-211-1-1-1-1-1-12200-1-10-1-10000001111-2-211110020000-1-100000
χ202222-1222-12222-2-2-1-2-2-12-12-1-1-12-12222-1-1000000-2-211-1-2-211-1-1-1-1-1-1-2-20011011000000111122-1-1-1-100-200001100000
χ212222-1222-1-2-2222-2-12-2-12-1-2-1-1-12-1-2-2-2-2110000002-2-11-12-2-11-1111112200-1-10-1-1000000-11-112-2-1-11100-200001100000
χ222222-1222-1-2-2222-2-12-2-12-1-2-1-1-12-1-2-2-2-2110000002-2-11-12-2-11-111111-2-20011011000000-11-11-2211-1-10020000-1-100000
χ232222-1222-1-2-222-22-1-22-12-1-2-1-1-12-1-2-2-2-211000000-221-1-1-221-1-1111112200-1-10-1-10000001-11-1-2211-1-100-200001100000
χ242222-1222-1-2-222-22-1-22-12-1-2-1-1-12-1-2-2-2-211000000-221-1-1-221-1-111111-2-200110110000001-11-12-2-1-1110020000-1-100000
χ25222-1222-1222-1-122-1222-1-122-1-1-12-1-1-1-12222-1-1-1-1-1-122-1-1-122-12-1-1-1-1002200200-1-1-1-1-1-1-1-1-1-1000000220-1-1-1-10000000
χ26222-1222-1222-1-122-1222-1-122-1-1-12-1-1-1-122-2-21111-1-122-1-1-122-12-1-1-1-100-2-200-200111111-1-1-1-1000000-2-2011110000000
χ27222-1222-1222-1-1-2-2-1-2-22-1-122-1-1-12-1-1-1-12222-1-1-1-111-2-2-111-2-2-12-1-1-1-1002200200-1-1-1-1-1-11111000000-2-2011110000000
χ28222-1222-1222-1-1-2-2-1-2-22-1-122-1-1-12-1-1-1-122-2-2111111-2-2-111-2-2-12-1-1-1-100-2-200-2001111111111000000220-1-1-1-10000000
χ29222-1222-12-2-2-1-12-2-12-22-1-1-22-1-1-121111-2-222-1-1-1-1-112-2-1-112-2-1-2111100-2-2002001111-1-1-11-110000002-20-1-1110000000
χ30222-1222-12-2-2-1-12-2-12-22-1-1-22-1-1-121111-2-2-2-21111-112-2-1-112-2-1-21111002200-200-1-1-1-111-11-11000000-22011-1-10000000
χ31222-1222-12-2-2-1-1-22-1-222-1-1-22-1-1-121111-2-222-1-1-1-11-1-22-11-1-22-1-2111100-2-2002001111-1-11-11-1000000-22011-1-10000000
χ32222-1222-12-2-2-1-1-22-1-222-1-1-22-1-1-121111-2-2-2-211111-1-22-11-1-22-1-21111002200-200-1-1-1-1111-11-10000002-20-1-1110000000
χ3322-2222-222002200200-2-220222-2-20000002222220000-20000-2000002-20022-2-2-20000-2-200000000000000000002-2000
χ3422-2222-222002200200-2-220222-2-20000002222220000-20000-200000-2200-2-2-2220000-2-20000000000000000000-22000
χ3522-2222-222002200200-2-220222-2-2000000-2-2-2-2-2-20000-20000-2000002-200222-2-20000220000000000000000000-22000
χ3622-2222-222002200200-2-220222-2-2000000-2-2-2-2-2-20000-20000-200000-2200-2-222200002200000000000000000002-2000
χ3722-222-222222-2-2222-2-2-2-22-2-2-2-22222-2-2220000002222-2-2-2-2-22-222-2-200000000000000022-2-200000000000000000000
χ3822-222-222222-2-2-2-2222-2-22-2-2-2-22222-2-222000000-2-2-2-2-222222-222-2-2000000000000000-2-22200000000000000000000
χ3922-222-2222-2-2-2-22-22-22-2-222-2-2-222-2-222-2-20000002-22-2-2-22-2222-2-2220000000000000002-2-2200000000000000000000
χ4022-222-2222-2-2-2-2-2222-2-2-222-2-2-222-2-222-2-2000000-22-22-22-22-222-2-222000000000000000-222-200000000000000000000
χ4122-22-1-222-122-2-222-1-2-21-2-1-21112-122-2-2-1-100000022-1-11-2-211-11-1-1110000−i3i30−i3i3000000-1-11100−i3i3−i3i30000000−i3i300000
χ4222-22-1-222-122-2-222-1-2-21-2-1-21112-122-2-2-1-100000022-1-11-2-211-11-1-1110000i3−i30i3−i3000000-1-11100i3−i3i3−i30000000i3−i300000
χ4322-22-1-222-122-2-2-2-2-1221-2-1-21112-122-2-2-1-1000000-2-211122-1-1-11-1-1110000−i3i30−i3i300000011-1-100i3−i3i3−i30000000−i3i300000
χ4422-22-1-222-122-2-2-2-2-1221-2-1-21112-122-2-2-1-1000000-2-211122-1-1-11-1-1110000i3−i30i3−i300000011-1-100−i3i3−i3i30000000i3−i300000
χ4522-22-1-222-1-2-2-2-22-2-1-221-2-121112-1-2-222110000002-2-111-221-1-1-111-1-10000−i3i30−i3i3000000-111-100−i3i3i3−i30000000i3−i300000
χ4622-22-1-222-1-2-2-2-22-2-1-221-2-121112-1-2-222110000002-2-111-221-1-1-111-1-10000i3−i30i3−i3000000-111-100i3−i3−i3i30000000−i3i300000
χ4722-22-1-222-1-2-2-2-2-22-12-21-2-121112-1-2-22211000000-221-112-2-11-1-111-1-10000−i3i30−i3i30000001-1-1100i3−i3−i3i30000000i3−i300000
χ4822-22-1-222-1-2-2-2-2-22-12-21-2-121112-1-2-22211000000-221-112-2-11-1-111-1-10000i3−i30i3−i30000001-1-1100−i3i3i3−i30000000−i3i300000
χ4922-2-12-22-12221122-1-2-2-21-1-2-211-12-1-111220033−3−3-1-122111-2-2-1-2-1-11100000000033−3−33−3-1-1110000000003−33−30000000
χ5022-2-12-22-12221122-1-2-2-21-1-2-211-12-1-1112200−3−333-1-122111-2-2-1-2-1-111000000000−3−333−33-1-111000000000−33−330000000
χ5122-2-12-22-122211-2-2-122-21-1-2-211-12-1-111220033−3−311-2-21-1-122-1-2-1-11100000000033−3−33−311-1-1000000000−33−330000000
χ5222-2-12-22-122211-2-2-122-21-1-2-211-12-1-1112200−3−33311-2-21-1-122-1-2-1-111000000000−3−333−3311-1-10000000003−33−30000000
χ5322-2-12-22-12-2-2112-2-1-22-21-12-211-1211-1-1-2-20033−3−3-112-211-1-22-1211-1-1000000000−3−3333−3-111-10000000003−3−330000000
χ5422-2-12-22-12-2-2112-2-1-22-21-12-211-1211-1-1-2-200−3−333-112-211-1-22-1211-1-100000000033−3−3−33-111-1000000000−333−30000000
χ5522-2-12-22-12-2-211-22-12-2-21-12-211-1211-1-1-2-20033−3−31-1-221-112-2-1211-1-1000000000−3−3333−31-1-11000000000−333−30000000
χ5622-2-12-22-12-2-211-22-12-2-21-12-211-1211-1-1-2-200−3−3331-1-221-112-2-1211-1-100000000033−3−3−331-1-110000000003−3−330000000
χ5744444-4-44400-4-4004004440-4-4-4-4-4000000000000000040000-400000000000000000000000000000000000000000000
χ584444-2-4-44-200-4-400-200-24-20222-420000000000000000-200002000000000−2i32i302i3−2i3000000000000000000000000000000
χ594444-2-4-44-200-4-400-200-24-20222-420000000000000000-2000020000000002i3−2i30−2i32i3000000000000000000000000000000
χ60444-24-4-4-24002200-2004-2-20-4222-4000000002323−23−230000-200002000000000000000000−2323000000000000000000000000
χ61444-24-4-4-24002200-2004-2-20-4222-400000000−23−2323230000-20000200000000000000000023−23000000000000000000000000
χ62444-2-244-2-244-2-244144-2-214-211-2-2-2-2-2-2-2-2000000-2-2-2-21-2-2-2-21-21111000000000000000111100000000000000000000
χ63444-2-244-2-244-2-2-4-41-4-4-2-214-211-2-2-2-2-2-2-2-20000002222122221-21111000000000000000-1-1-1-100000000000000000000
χ64444-2-244-2-2-4-4-2-24-414-4-2-21-4-211-2-2222222000000-22-221-22-2212-1-1-1-10000000000000001-11-100000000000000000000
χ65444-2-244-2-2-4-4-2-2-441-44-2-21-4-211-2-22222220000002-22-212-22-212-1-1-1-1000000000000000-11-1100000000000000000000
χ6644-44-24-44-2004400-2002-4-20-2-2-2-420000000000000000200002000004-400-2-2022000000000000000000000000000000
χ6744-44-24-44-2004400-2002-4-20-2-2-2-42000000000000000020000200000-4400220-2-2000000000000000000000000000000
χ6844-4-244-4-2400-2-200-200-42-204-2-22-400000044-2-2-2-2000020000200000000000-400000022000000000000000000000000
χ6944-4-244-4-2400-2-200-200-42-204-2-22-4000000-4-422220000200002000000000004000000-2-2000000000000000000000000
χ7044-4-2-2-44-2-24422441-4-4221-42-1-1-2-2-2-222-2-2000000-2-2-2-2-122221211-1-100000000000000011-1-100000000000000000000
χ7144-4-2-2-44-2-24422-4-4144221-42-1-1-2-2-2-222-2-20000002222-1-2-2-2-21211-1-1000000000000000-1-11100000000000000000000
χ7244-4-2-2-44-2-2-4-4224-41-4422142-1-1-2-222-2-222000000-22-22-12-22-21-2-1-1110000000000000001-1-1100000000000000000000
χ7344-4-2-2-44-2-2-4-422-4414-422142-1-1-2-222-2-2220000002-22-2-1-22-221-2-1-111000000000000000-111-100000000000000000000
χ744-404400-4-422−22000040000-400000022−220022−2222−2222−2222−220000000000022−2200002-2000002-22-200000000000000000000000000
χ754-404400-4-422−22000040000-400000022−220022−22−2222−2222−22220000000000022−220000-2200000-22-2200000000000000000000000000
χ764-404400-4-4−2222000040000-4000000−222200−222222−2222−2222−2200000000000−22220000-2200000-22-2200000000000000000000000000
χ774-404400-4-4−2222000040000-4000000−222200−2222−2222−2222−222200000000000−222200002-2000002-22-200000000000000000000000000
χ784-40-24002-422−2223−2300-2000020023−2300−226−622−2222−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000−226−6002-200000−1+31−3−1−31+300000000000000000000000000
χ794-40-24002-422−2223−2300-2000020023−2300−226−622−22−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000−226−600-22000001−3−1+31+3−1−300000000000000000000000000
χ804-40-24002-422−22−232300-20000200−232300−22−6622−2222−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000−22−66002-200000−1−31+3−1+31−300000000000000000000000000
χ814-40-24002-422−22−232300-20000200−232300−22−6622−22−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000−22−6600-22000001+3−1−31−3−1+300000000000000000000000000
χ824-40-24002-4−222223−2300-2000020023−23002−2−66−222222−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000000000002−2−6600-22000001−3−1+31+3−1−300000000000000000000000000
χ834-40-24002-4−222223−2300-2000020023−23002−2−66−2222−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000000002−2−66002-200000−1+31−3−1−31+300000000000000000000000000
χ844-40-24002-4−2222−232300-20000200−2323002−26−6−222222−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000000000002−26−600-22000001+3−1−31−3−1+300000000000000000000000000
χ854-40-24002-4−2222−232300-20000200−2323002−26−6−2222−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000000002−26−6002-200000−1−31+3−1+31−300000000000000000000000000
χ86888-4-4-8-8-4-4004400200-4-4204-2-244000000000000000020000-200000000000000000000000000000000000000000000
χ8788-8-4-48-8-4-400-4-4002004420-422440000000000000000-20000-200000000000000000000000000000000000000000000
χ888-808-400-8442−420000-40000400000042−4200−222200000000000000000−222200000000000000000000000000000000000000000
χ898-808-400-84−42420000-400004000000−42420022−220000000000000000022−2200000000000000000000000000000000000000000
χ908-80-4-4004442−4243−430020000-200−232300−222226−26−2222000000000000000002−2−66000000000000000000000000000000000000000
χ918-80-4-4004442−42−43430020000-20023−2300−2222−2626−2222000000000000000002−26−6000000000000000000000000000000000000000
χ928-80-4-40044−424243−430020000-200−23230022−22−262622−2200000000000000000−226−6000000000000000000000000000000000000000
χ938-80-4-40044−4242−43430020000-20023−230022−2226−2622−2200000000000000000−22−66000000000000000000000000000000000000000

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