Finite Group Databasebeta

← Group #11886868

Character table — Group #11886868

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size112222222222244444444444444444444666666888888888888888121212121212121212121212121212161616162424242424242424242424242424243636727272
order122334466881212223446668121212121224242424242488242424246666612121212122424242424244466812121212121224246612122466888121224242424242424248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111-1-11-1-11111111111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-111111111111111111-1-111-111-1-1-1-1-1-111111111-1-1111-1-1-1-111-1-1-1-1-1
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
χ51111111111111-1-11-1-1111111111111111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11
χ61111111111111-1-11-1-1111111111111111111111-1-1-1-11-1-1-1-1111111-1-111-1-11-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-111-1
χ71111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-1
χ81111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-111-1-11
χ9111111111-1-1111-111-1111-111111-1-1-1-1-1-11111111-11-111-11-11-1-1-1-1-111-1-111111-1-1-1-1111-11-11-1111-1-1-1-111-1-1-1-111-11-1
χ10111111111-1-1111-111-1111-111111-1-1-1-1-1-11111111-11-111-11-11-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111-11-1-11-1-11-111111-1-111-1-11-11
χ11111111111-1-1111-111-1111-111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-11-11-1-1-1-1-1111111-1111111-1-11-11-11-111-11-1-1-1-1-111-1-1-1-11-11
χ12111111111-1-1111-111-1111-111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-11-11-1-1-1-1-1-1-111-1-1-1-1-11111-1-11-11-1-11-1-1-11111-1-1111111-11-1
χ13111111111-1-111-111-11111-111111-1-1-1-1-1-1111111-11-111-11-111-1-1-1-1-111-1-111111-1-1-1-111-11-11-11-1-1-11-111-1-111-1-1111-1-1
χ14111111111-1-111-111-11111-111111-1-1-1-1-1-1111111-11-111-11-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-11-111-111-111-1-1-1-11111-1-1-111
χ15111111111-1-111-111-11111-111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-111-1-1-1-1-1111111-1111111-1-1-11-11-11-1-11-1-11111-1-1-1-1-1-1-111
χ16111111111-1-111-111-11111-111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-111-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-11-111-1111-11-1-111-1-111111-1-1
χ172222-1222-1222222-122-12-12-1-1-12-12222-1-100000022-1-1-122-1-1-1-1-1-1-1-12200-1-10-1-1000000-1-1-1-122-1-1002-1-10000-1-100000
χ182222-1222-1222222-122-12-12-1-1-12-12222-1-100000022-1-1-122-1-1-1-1-1-1-1-1-2-20011011000000-1-1-1-1-2-21100-21100001100000
χ192222-1222-12222-2-2-1-2-2-12-12-1-1-12-12222-1-1000000-2-211-1-2-211-1-1-1-1-1-12200-1-10-1-10000001111-2-211002110000-1-100000
χ202222-1222-12222-2-2-1-2-2-12-12-1-1-12-12222-1-1000000-2-211-1-2-211-1-1-1-1-1-1-2-20011011000000111122-1-100-2-1-100001100000
χ212222-1222-1-2-2222-2-12-2-12-1-2-1-1-12-1-2-2-2-2110000002-2-11-12-2-11-1111112200-1-10-1-1000000-11-112-2-1-100-21100001100000
χ222222-1222-1-2-2222-2-12-2-12-1-2-1-1-12-1-2-2-2-2110000002-2-11-12-2-11-111111-2-20011011000000-11-11-2211002-1-10000-1-100000
χ232222-1222-1-2-222-22-1-22-12-1-2-1-1-12-1-2-2-2-211000000-221-1-1-221-1-1111112200-1-10-1-10000001-11-1-221100-2-1-100001100000
χ242222-1222-1-2-222-22-1-22-12-1-2-1-1-12-1-2-2-2-211000000-221-1-1-221-1-111111-2-200110110000001-11-12-2-1-1002110000-1-100000
χ25222-1222-1222-1-122-1222-1-122-1-1-12-1-1-1-12222-1-1-1-1-1-122-1-1-122-12-1-1-1-1002200200-1-1-1-1-1-1-1-1-1-1000022000-1-1-1-10000000
χ26222-1222-1222-1-122-1222-1-122-1-1-12-1-1-1-122-2-21111-1-122-1-1-122-12-1-1-1-100-2-200-200111111-1-1-1-10000-2-200011110000000
χ27222-1222-1222-1-1-2-2-1-2-22-1-122-1-1-12-1-1-1-12222-1-1-1-111-2-2-111-2-2-12-1-1-1-1002200200-1-1-1-1-1-111110000-2-200011110000000
χ28222-1222-1222-1-1-2-2-1-2-22-1-122-1-1-12-1-1-1-122-2-2111111-2-2-111-2-2-12-1-1-1-100-2-200-2001111111111000022000-1-1-1-10000000
χ29222-1222-12-2-2-1-12-2-12-22-1-1-22-1-1-121111-2-222-1-1-1-1-112-2-1-112-2-1-2111100-2-2002001111-1-1-11-1100002-2000-1-1110000000
χ30222-1222-12-2-2-1-12-2-12-22-1-1-22-1-1-121111-2-2-2-21111-112-2-1-112-2-1-21111002200-200-1-1-1-111-11-110000-2200011-1-10000000
χ31222-1222-12-2-2-1-1-22-1-222-1-1-22-1-1-121111-2-222-1-1-1-11-1-22-11-1-22-1-2111100-2-2002001111-1-11-11-10000-2200011-1-10000000
χ32222-1222-12-2-2-1-1-22-1-222-1-1-22-1-1-121111-2-2-2-211111-1-22-11-1-22-1-21111002200-200-1-1-1-1111-11-100002-2000-1-1110000000
χ3322-2222-222002200200-2-220222-2-20000002222220000-20000-2000002-20022-2-2-20000-2-20000000000000000000-22000
χ3422-2222-222002200200-2-220222-2-20000002222220000-20000-200000-2200-2-2-2220000-2-200000000000000000002-2000
χ3522-2222-222002200200-2-220222-2-2000000-2-2-2-2-2-20000-20000-2000002-200222-2-200002200000000000000000002-2000
χ3622-2222-222002200200-2-220222-2-2000000-2-2-2-2-2-20000-20000-200000-2200-2-22220000220000000000000000000-22000
χ3722-222-222222-2-22-22-22-2-22-2-2-2-22222-2-2220000002-22-2-2-22-222-222-2-20000000000000002-2-2200000000000000000000
χ3822-222-222222-2-2-2222-2-2-22-2-2-2-22222-2-222000000-22-22-22-22-22-222-2-2000000000000000-222-200000000000000000000
χ3922-222-2222-2-2-2-2222-2-2-2-222-2-2-222-2-222-2-20000002222-2-2-2-2-222-2-22200000000000000022-2-200000000000000000000
χ4022-222-2222-2-2-2-2-2-2222-2-222-2-2-222-2-222-2-2000000-2-2-2-2-2222222-2-222000000000000000-2-22200000000000000000000
χ4122-22-1-222-122-2-22-2-1-221-2-1-21112-122-2-2-1-10000002-2-111-221-1-11-1-1110000−i3i30−i3i3000000-111-100−i3i3000−i3i30000−i3i300000
χ4222-22-1-222-122-2-22-2-1-221-2-1-21112-122-2-2-1-10000002-2-111-221-1-11-1-1110000i3−i30i3−i3000000-111-100i3−i3000i3−i30000i3−i300000
χ4322-22-1-222-122-2-2-22-12-21-2-1-21112-122-2-2-1-1000000-221-112-2-11-11-1-1110000−i3i30−i3i30000001-1-1100i3−i3000i3−i30000−i3i300000
χ4422-22-1-222-122-2-2-22-12-21-2-1-21112-122-2-2-1-1000000-221-112-2-11-11-1-1110000i3−i30i3−i30000001-1-1100−i3i3000−i3i30000i3−i300000
χ4522-22-1-222-1-2-2-2-222-1-2-21-2-121112-1-2-2221100000022-1-11-2-211-1-111-1-10000−i3i30−i3i3000000-1-11100−i3i3000i3−i30000i3−i300000
χ4622-22-1-222-1-2-2-2-222-1-2-21-2-121112-1-2-2221100000022-1-11-2-211-1-111-1-10000i3−i30i3−i3000000-1-11100i3−i3000−i3i30000−i3i300000
χ4722-22-1-222-1-2-2-2-2-2-2-1221-2-121112-1-2-22211000000-2-211122-1-1-1-111-1-10000−i3i30−i3i300000011-1-100i3−i3000−i3i30000i3−i300000
χ4822-22-1-222-1-2-2-2-2-2-2-1221-2-121112-1-2-22211000000-2-211122-1-1-1-111-1-10000i3−i30i3−i300000011-1-100−i3i3000i3−i30000−i3i300000
χ4922-2-12-22-1222112-2-1-22-21-1-2-211-12-1-111220033−3−3-112-211-1-22-1-2-1-11100000000033−3−33−3-111-10000000003−33−30000000
χ5022-2-12-22-1222112-2-1-22-21-1-2-211-12-1-1112200−3−333-112-211-1-22-1-2-1-111000000000−3−333−33-111-1000000000−33−330000000
χ5122-2-12-22-122211-22-12-2-21-1-2-211-12-1-111220033−3−31-1-221-112-2-1-2-1-11100000000033−3−33−31-1-11000000000−33−330000000
χ5222-2-12-22-122211-22-12-2-21-1-2-211-12-1-1112200−3−3331-1-221-112-2-1-2-1-111000000000−3−333−331-1-110000000003−33−30000000
χ5322-2-12-22-12-2-21122-1-2-2-21-12-211-1211-1-1-2-20033−3−3-1-122111-2-2-1211-1-1000000000−3−3333−3-1-1110000000003−3−330000000
χ5422-2-12-22-12-2-21122-1-2-2-21-12-211-1211-1-1-2-200−3−333-1-122111-2-2-1211-1-100000000033−3−3−33-1-111000000000−333−30000000
χ5522-2-12-22-12-2-211-2-2-122-21-12-211-1211-1-1-2-20033−3−311-2-21-1-122-1211-1-1000000000−3−3333−311-1-1000000000−333−30000000
χ5622-2-12-22-12-2-211-2-2-122-21-12-211-1211-1-1-2-200−3−33311-2-21-1-122-1211-1-100000000033−3−3−3311-1-10000000003−3−330000000
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
χ7044-4-2-2-44-2-244224-41-44221-42-1-1-2-2-2-222-2-2000000-22-22-12-22-21211-1-10000000000000001-1-1100000000000000000000
χ7144-4-2-2-44-2-24422-4414-4221-42-1-1-2-2-2-222-2-20000002-22-2-1-22-221211-1-1000000000000000-111-100000000000000000000
χ7244-4-2-2-44-2-2-4-422441-4-422142-1-1-2-222-2-222000000-2-2-2-2-122221-2-1-11100000000000000011-1-100000000000000000000
χ7344-4-2-2-44-2-2-4-422-4-414422142-1-1-2-222-2-2220000002222-1-2-2-2-21-2-1-111000000000000000-1-11100000000000000000000
χ744-404400-4-4−2i22i2000040000-4000000−2i22i200−2i22i2−2i22i2−2i22i2−2i22i200000000000−2i22i200002-2000002-22-200000000000000000000000000
χ754-404400-4-4−2i22i2000040000-4000000−2i22i200−2i22i22i2−2i22i2−2i22i2−2i200000000000−2i22i20000-2200000-22-2200000000000000000000000000
χ764-404400-4-42i2−2i2000040000-40000002i2−2i2002i2−2i2−2i22i2−2i22i2−2i22i2000000000002i2−2i20000-2200000-22-2200000000000000000000000000
χ774-404400-4-42i2−2i2000040000-40000002i2−2i2002i2−2i22i2−2i22i2−2i22i2−2i2000000000002i2−2i200002-2000002-22-200000000000000000000000000
χ784-40-24002-4−2i22i223−2300-2000020023−2300i2−i2i6−i6−2i22i2−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000000i2−i2i6−i6002-200000−1−31+3−1+31−300000000000000000000000000
χ794-40-24002-4−2i22i223−2300-2000020023−2300i2−i2i6−i6−2i22i22i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000000i2−i2i6−i600-22000001+3−1−31−3−1+300000000000000000000000000
χ804-40-24002-4−2i22i2−232300-20000200−232300i2−i2−i6i6−2i22i2−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000000i2−i2−i6i6002-200000−1+31−3−1−31+300000000000000000000000000
χ814-40-24002-4−2i22i2−232300-20000200−232300i2−i2−i6i6−2i22i22i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000000i2−i2−i6i600-22000001−3−1+31+3−1−300000000000000000000000000
χ824-40-24002-42i2−2i223−2300-2000020023−2300−i2i2−i6i62i2−2i2−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000000−i2i2−i6i600-22000001+3−1−31−3−1+300000000000000000000000000
χ834-40-24002-42i2−2i223−2300-2000020023−2300−i2i2−i6i62i2−2i22i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000000−i2i2−i6i6002-200000−1−31+3−1+31−300000000000000000000000000
χ844-40-24002-42i2−2i2−232300-20000200−232300−i2i2i6−i62i2−2i2−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000000−i2i2i6−i600-22000001−3−1+31+3−1−300000000000000000000000000
χ854-40-24002-42i2−2i2−232300-20000200−232300−i2i2i6−i62i2−2i22i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000000−i2i2i6−i6002-200000−1+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
χ888-808-400-84−4i24i20000-400004000000−4i24i2002i2−2i2000000000000000002i2−2i200000000000000000000000000000000000000000
χ898-808-400-844i2−4i20000-4000040000004i2−4i200−2i22i200000000000000000−2i22i200000000000000000000000000000000000000000
χ908-80-4-40044−4i24i243−430020000-200−2323002i2−2i22i6−2i62i2−2i200000000000000000−i2i2−i6i6000000000000000000000000000000000000000
χ918-80-4-40044−4i24i2−43430020000-20023−23002i2−2i2−2i62i62i2−2i200000000000000000−i2i2i6−i6000000000000000000000000000000000000000
χ928-80-4-400444i2−4i243−430020000-200−232300−2i22i2−2i62i6−2i22i200000000000000000i2−i2i6−i6000000000000000000000000000000000000000
χ938-80-4-400444i2−4i2−43430020000-20023−2300−2i22i22i6−2i6−2i22i200000000000000000i2−i2−i6i6000000000000000000000000000000000000000

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