Finite Group Databasebeta

← Group #11873327

Character table — Group #11873327

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444444488888888888888888888888121212121212121218181818242424242424242424242424363636364848484872
order1222334466666634466688121212121212121212121212812121212121224242424242424242424242424242424444444444444444412121212121212122488121212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ511111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1
χ611111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111
χ711111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-11
χ811111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1
χ9111111111111111-1-111111-1-11-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-111-11
χ10111111111111111-1-111111-1-11-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11-1-1-1-11111-1-111-11-11-1
χ11111111111111111-1-111111-1-11-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-111-11111-1-1-1-1-1-1111-11-1-1
χ12111111111111111-1-111111-1-11-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-11111-1-11-1-111
χ13111111111111111-1-1111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-111111-1-11-1
χ14111111111111111-1-1111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-111-1-1-1-1-11111-1-1-1-11-11-11
χ15111111111111111-1-1111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111-1-111111-1-1-1-1-1-1-1-1-11-111
χ16111111111111111-1-1111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-111-1-1-1-1111111-111-1-1
χ17222222-2-222222222-22220022-2-2-2-2-2-2-2-2-2-20-2222-2-200000000000000000000000022-2-20000000000002-20000000
χ18222222-2-222222222-22220022-2-2-2-2-2-2-2-2-2-20-2222-2-2000000000000000000000000-2-222000000000000-220000000
χ19222222-2-22222222-2222200-2-2-222-2-2-2-2-2-2-202-2-2-22200000000000000000000000022-2-2000000000000-220000000
χ20222222-2-22222222-2222200-2-2-222-2-2-2-2-2-2-202-2-2-222000000000000000000000000-2-2220000000000002-20000000
χ2122222-12222-1-1-12-122-1-1-12222-1-1-12-1-1-12-1-122-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12200220000002200-1-100-1-1000000-1-1000
χ2222222-12222-1-1-12-122-1-1-12222-1-1-12-1-1-12-1-122-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-2000000-2-20011001100000011000
χ2322222-12222-1-1-12-122-1-1-1-2-222-1-1-12-1-1-12-1-1-22-1-1-1-1-1-2-2111111-2-2111111220022000000-2-200-1-100-1-100000011000
χ2422222-12222-1-1-12-122-1-1-1-2-222-1-1-12-1-1-12-1-1-22-1-1-1-1-1-2-2111111-2-2111111-2-200-2-20000002200110011000000-1-1000
χ2522222-12222-1-1-12-1-2-2-1-1-122-2-2-1112-1-1-12-1-1-2-21111122-1-1-1-1-1-1-2-21111112200-2-20000002-2001100-1-10000001-1000
χ2622222-12222-1-1-12-1-2-2-1-1-122-2-2-1112-1-1-12-1-1-2-21111122-1-1-1-1-1-1-2-2111111-2-20022000000-2200-1-10011000000-11000
χ2722222-12222-1-1-12-1-2-2-1-1-1-2-2-2-2-1112-1-1-12-1-12-211111-2-211111122-1-1-1-1-1-12200-2-2000000-22001100-1-1000000-11000
χ2822222-12222-1-1-12-1-2-2-1-1-1-2-2-2-2-1112-1-1-12-1-12-211111-2-211111122-1-1-1-1-1-1-2-200220000002-200-1-100110000001-1000
χ292222-1222-1-1222-1-122-1-1-122-1-1222-1-1-12-1-1-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1002200220000002200-1-100-1-1000000-1-10
χ302222-1222-1-1222-1-122-1-1-122-1-1222-1-1-12-1-1-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-200-2-2000000-2-200110011000000110
χ312222-1222-1-1222-1-122-1-1-1-2-2-1-1222-1-1-12-1-1-1-2-12-1-1-1-111-2-2111111-2-2111100220022000000-2-200-1-100-1-1000000110
χ322222-1222-1-1222-1-122-1-1-1-2-2-1-1222-1-1-12-1-1-1-2-12-1-1-1-111-2-2111111-2-2111100-2-200-2-20000002200110011000000-1-10
χ332222-1222-1-1222-1-1-2-2-1-1-122112-2-2-1-1-12-1-1-1-21-21111-1-122-1-1-1-111-2-21111002200-2-20000002-200-1-10011000000-110
χ342222-1222-1-1222-1-1-2-2-1-1-122112-2-2-1-1-12-1-1-1-21-21111-1-122-1-1-1-111-2-2111100-2-20022000000-22001100-1-10000001-10
χ352222-1222-1-1222-1-1-2-2-1-1-1-2-2112-2-2-1-1-12-1-1-121-2111111-2-21111-1-122-1-1-1-1002200-2-2000000-2200-1-100110000001-10
χ362222-1222-1-1222-1-1-2-2-1-1-1-2-2112-2-2-1-1-12-1-1-121-2111111-2-21111-1-122-1-1-1-100-2-200220000002-2001100-1-1000000-110
χ372-2-22222-2-2-22-2-222002-2-20000-200-2-2-22222000000000000000000000002i−2i00002-22i−2i2i−2i000000002i−2i2-2000000000
χ382-2-22222-2-2-22-2-222002-2-20000-200-2-2-22222000000000000000000000002i−2i0000-22−2i2i−2i2i000000002i−2i-22000000000
χ392-2-22222-2-2-22-2-222002-2-20000-200-2-2-2222200000000000000000000000−2i2i00002-2−2i2i−2i2i00000000−2i2i2-2000000000
χ402-2-22222-2-2-22-2-222002-2-20000-200-2-2-2222200000000000000000000000−2i2i0000-222i−2i2i−2i00000000−2i2i-22000000000
χ412-2-2222-22-2-22-2-222002-2-20000200222-2-2-2-200000000000000000000000002i−2i2-2002i−2i−2i2i00002-22i−2i0000000000000
χ422-2-2222-22-2-22-2-222002-2-20000200222-2-2-2-200000000000000000000000002i−2i-2200−2i2i2i−2i0000-222i−2i0000000000000
χ432-2-2222-22-2-22-2-222002-2-20000200222-2-2-2-20000000000000000000000000−2i2i2-200−2i2i2i−2i00002-2−2i2i0000000000000
χ442-2-2222-22-2-22-2-222002-2-20000200222-2-2-2-20000000000000000000000000−2i2i-22002i−2i−2i2i0000-22−2i2i0000000000000
χ4544444-2-4-444-2-2-24-24-4-2-2-20044222-4222-4220-4-2-2-2220000000000000000000000000000000000000000000000000
χ4644444-2-4-444-2-2-24-2-44-2-2-200-4-42-2-2-4222-42204222-2-20000000000000000000000000000000000000000000000000
χ474444-24-4-4-2-2444-2-24-4-2-2-200-2-2-4-4-4222-4222024-2-2220000000000000000000000000000000000000000000000000
χ484444-24-4-4-2-2444-2-2-44-2-2-20022-444222-42220-2-422-2-20000000000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-211-2-2114-2-21111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-2-211-2-211-4-2-211112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-41114422-222-211-2-211-422-1-1-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-422-222-211-2-211422-1-1-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-214-411100-2-22222-1-122-1-102-211-1-100003i3i−3i−3i00003i3i−3i−3i000000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-214-411100-2-22222-1-122-1-102-211-1-10000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21-4411100222-2-22-1-122-1-10-22-1-11100003i3i−3i−3i0000−3i−3i3i3i000000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21-4411100222-2-22-1-122-1-10-22-1-1110000−3i−3i3i3i00003i3i−3i−3i000000000000000000000000000000000
χ5744-4-444004-4-4-44-4400-44-422−22000000000000000000022−2222−2222−2222−2200000000000000000000000000000000000000000
χ5844-4-444004-4-4-44-4400-44-4−22220000000000000000000−2222−2222−2222−222200000000000000000000000000000000000000000
χ5944-4-44-2004-422-2-4-2002-2222−2200023−2300000000000023−2322−22−22−22−22006−66−66−6000000000000000000000000000000000
χ6044-4-44-2004-422-2-4-2002-2222−22000−2323000000000000−232322−22−22−22−2200−66−66−66000000000000000000000000000000000
χ6144-4-44-2004-422-2-4-2002-22−222200023−2300000000000023−23−22222−22−22−200−66−66−66000000000000000000000000000000000
χ6244-4-44-2004-422-2-4-2002-22−2222000−2323000000000000−2323−22222−22−22−2006−66−66−6000000000000000000000000000000000
χ6344-4-4-2400-22-4-442-2002-2222−22−2i32i30000000000000−2i32i300−2222−22−22−22i6−i600i6−i6−i6i6000000000000000000000000000000000
χ6444-4-4-2400-22-4-442-2002-2222−222i3−2i300000000000002i3−2i300−2222−22−22−22−i6i600−i6i6i6−i6000000000000000000000000000000000
χ6544-4-4-2400-22-4-442-2002-22−2222−2i32i30000000000000−2i32i3002−2−22222−22−2−i6i600−i6i6i6−i6000000000000000000000000000000000
χ6644-4-4-2400-22-4-442-2002-22−22222i3−2i300000000000002i3−2i3002−2−22222−22−2i6−i600i6−i6−i6i6000000000000000000000000000000000
χ6744-4-4-2-200-2222-22100-11-122−22−2i32i3023−2303i−3i003i−3i000i3−i3−33−22−22ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000000
χ6844-4-4-2-200-2222-22100-11-122−22−2i32i30−23230−3i3i00−3i3i000i3−i33−3−22−22−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000
χ6944-4-4-2-200-2222-22100-11-122−222i3−2i3023−230−3i3i00−3i3i000−i3i3−33−22−22−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000
χ7044-4-4-2-200-2222-22100-11-122−222i3−2i30−232303i−3i003i−3i000−i3i33−3−22−22ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000000
χ7144-4-4-2-200-2222-22100-11-1−2222−2i32i3023−2303i−3i003i−3i000i3−i3−332−22−2−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000000
χ7244-4-4-2-200-2222-22100-11-1−2222−2i32i30−23230−3i3i00−3i3i000i3−i33−32−22−22ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000
χ7344-4-4-2-200-2222-22100-11-1−22222i3−2i3023−230−3i3i00−3i3i000−i3i3−332−22−22ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000
χ7444-4-4-2-200-2222-22100-11-1−22222i3−2i30−232303i−3i003i−3i000−i3i33−32−22−2−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000000
χ754-44-44400-44-44-4-4400-4-4400000000000000000000000000000000000000000000000000000000000000022−2200000
χ764-44-44400-44-44-4-4400-4-44000000000000000000000000000000000000000000000000000000000000000−222200000
χ774-4-444-24-4-4-4-2224-200-2220000200-422-24-2-2000000000000000000000004i−4i000000000000000000−2i2i00000000000
χ784-4-444-24-4-4-4-2224-200-2220000200-422-24-2-200000000000000000000000−4i4i0000000000000000002i−2i00000000000
χ794-4-444-2-44-4-4-2224-200-2220000-2004-2-22-4220000000000000000000000000004-40000000000-22000000000000000
χ804-4-444-2-44-4-4-2224-200-2220000-2004-2-22-422000000000000000000000000000-4400000000002-2000000000000000
χ814-4-44-244-4224-4-4-2-200-2220000-4002224-2-2-2000000000000000000000000000004-400000000000000-22000000000
χ824-4-44-244-4224-4-4-2-200-2220000-4002224-2-2-200000000000000000000000000000-44000000000000002-2000000000
χ834-4-44-24-44224-4-4-2-200-2220000400-2-2-2-422200000000000000000000000004i−4i00000000000000−2i2i0000000000000
χ844-4-44-24-44224-4-4-2-200-2220000400-2-2-2-42220000000000000000000000000−4i4i000000000000002i−2i0000000000000
χ858-88-88-400-884-44-8-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-48004-4-88-84-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-4004-44-444200-2-22000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ888-88-8-4-4004-44-444200-2-2200000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000
χ898-8-88-4-48-844-444-42002-2-200004004-2-2-4-42200000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4-8844-444-42002-2-20000-400-42244-2-200000000000000000000000000000000000000000000000000000000

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