Finite Group Databasebeta

← Group #11868955

Character table — Group #11868955

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444444488888888888888888888888121212121212121218181818242424242424242424242424363636364848484872
order122233446666663446668812121212121212121212121281212121212122424242424242424242424242424242422224444224444446666121212124488121212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11-1-11-1-111-1-111-1-1-1-11-1-11-1
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
χ611111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1111-1-111
χ711111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111-1-1-111-1-111-1-111-111-11
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
χ9111111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111111-1-1-1-1-1-111-11-11-1
χ10111111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-11
χ11111111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111
χ12111111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-11111-1-1111-11-1-1
χ13111111111111111-1-1111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-11-11111-1-1-1-1-1-1-1-11-11-11
χ14111111111111111-1-1111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1
χ15111111111111111-1-1111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1
χ16111111111111111-1-1111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-11-11-1-1-1-11111-1-1-1-1-11-111
χ17222222-2-222222222-222200-2-222-2-2-2-2-2-2-2-202-222-2-200000000000000000000000022-2-2000000000000-220000000
χ18222222-2-222222222-222200-2-222-2-2-2-2-2-2-2-202-222-2-2000000000000000000000000-2-2220000000000002-20000000
χ19222222-2-22222222-2222200-2-2-2-222-2-2-2-2-2-20-22-2-22200000000000000000000000022-2-20000000000002-20000000
χ20222222-2-22222222-2222200-2-2-2-222-2-2-2-2-2-20-22-2-222000000000000000000000000-2-222000000000000-220000000
χ2122222-1222-12-12-1-122-1-1-1222-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1002200220000200200-1-100-1-10000-100-10
χ2222222-1222-12-12-1-122-1-1-1222-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-20000-200-200110011000010010
χ2322222-1222-12-12-1-122-1-1-1-2-22-122-1-1-1-12-1-1-1-2-12-1-1-1-1-2-2111111-2-2111111002200220000-200-200-1-100-1-1000010010
χ2422222-1222-12-12-1-122-1-1-1-2-22-122-1-1-1-12-1-1-1-2-12-1-1-1-1-2-2111111-2-211111100-2-200-2-200002002001100110000-100-10
χ2522222-1222-12-12-1-1-2-2-1-1-1222-1-2-211-1-12-1-1-1-21-2111122-1-1-1-1-1-1-2-2111111002200-2-20000-200200-1-100110000100-10
χ2622222-1222-12-12-1-1-2-2-1-1-1222-1-2-211-1-12-1-1-1-21-2111122-1-1-1-1-1-1-2-211111100-2-200220000200-2001100-1-10000-10010
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-22-1-2-211-1-12-1-1-121-21111-2-211111122-1-1-1-1-1-1002200-2-20000200-200-1-100110000-10010
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-22-1-2-211-1-12-1-1-121-21111-2-211111122-1-1-1-1-1-100-2-200220000-2002001100-1-10000100-10
χ292222-1222-12-12-12-122-1-1-122-12-1-122-1-1-12-1-122-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12200220000000220-1-100-1-10000000-1-100
χ302222-1222-12-12-12-122-1-1-122-12-1-122-1-1-12-1-122-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-20000000-2-2011001100000001100
χ312222-1222-12-12-12-122-1-1-1-2-2-12-1-122-1-1-12-1-1-22-1-1-1-1-111-2-2111111-2-211112200220000000-2-20-1-100-1-100000001100
χ322222-1222-12-12-12-122-1-1-1-2-2-12-1-122-1-1-12-1-1-22-1-1-1-1-111-2-2111111-2-21111-2-200-2-200000002201100110000000-1-100
χ332222-1222-12-12-12-1-2-2-1-1-122-1211-2-2-1-1-12-1-1-2-211111-1-122-1-1-1-111-2-211112200-2-200000002-20-1-100110000000-1100
χ342222-1222-12-12-12-1-2-2-1-1-122-1211-2-2-1-1-12-1-1-2-211111-1-122-1-1-1-111-2-21111-2-200220000000-2201100-1-100000001-100
χ352222-1222-12-12-12-1-2-2-1-1-1-2-2-1211-2-2-1-1-12-1-12-21111111-2-21111-1-122-1-1-1-12200-2-20000000-220-1-1001100000001-100
χ362222-1222-12-12-12-1-2-2-1-1-1-2-2-1211-2-2-1-1-12-1-12-21111111-2-21111-1-122-1-1-1-1-2-2002200000002-201100-1-10000000-1100
χ3722-2-2222-222-2-2-2-22002-2-20022000022-2-2-2-2000000000000000000000002-22-200002-22-200002-22-20000000000000
χ3822-2-2222-222-2-2-2-22002-2-20022000022-2-2-2-2000000000000000000000002-2-220000-22-2200002-2-220000000000000
χ3922-2-2222-222-2-2-2-22002-2-20022000022-2-2-2-200000000000000000000000-222-20000-22-220000-222-20000000000000
χ4022-2-2222-222-2-2-2-22002-2-20022000022-2-2-2-200000000000000000000000-22-2200002-22-20000-22-220000000000000
χ4122-2-222-2222-2-2-2-22002-2-200-2-20000-2-222220000000000000000000000000002i−2i2i−2i2-2-22000000002i−2i2i−2i000000000
χ4222-2-222-2222-2-2-2-22002-2-200-2-20000-2-222220000000000000000000000000002i−2i−2i2i-222-2000000002i−2i−2i2i000000000
χ4322-2-222-2222-2-2-2-22002-2-200-2-20000-2-22222000000000000000000000000000−2i2i2i−2i-222-200000000−2i2i2i−2i000000000
χ4422-2-222-2222-2-2-2-22002-2-200-2-20000-2-22222000000000000000000000000000−2i2i−2i2i2-2-2200000000−2i2i−2i2i000000000
χ4544444-2-4-44-24-24-2-24-4-2-2-200-42442222-42220-2-4-2-2220000000000000000000000000000000000000000000000000
χ4644444-2-4-44-24-24-2-2-44-2-2-200-42-4-4-2-222-422202422-2-20000000000000000000000000000000000000000000000000
χ474444-24-4-4-24-24-24-24-4-2-2-2002-4-2-2-4-4222-422042-2-2220000000000000000000000000000000000000000000000000
χ484444-24-4-4-24-24-24-2-44-2-2-2002-42244222-4220-4-222-2-20000000000000000000000000000000000000000000000000
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
χ514444-2-244-2-2-2-2-2-21-4-411144-2-2222211-2-211-422-1-1-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2222211-2-211422-1-1-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-214-41110022-2-222-1-122-1-10-2211-1-100003i3i−3i−3i00003i3i−3i−3i000000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-214-41110022-2-222-1-122-1-10-2211-1-10000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21-44111002222-2-2-1-122-1-102-2-1-11100003i3i−3i−3i0000−3i−3i3i3i000000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21-44111002222-2-2-1-122-1-102-2-1-1110000−3i−3i3i3i00003i3i−3i−3i000000000000000000000000000000000
χ5744-4-44-24-44-2-42-42-200-222004-20000-2-2-422200000000000000000000000004-400000000000000-220000000000000
χ5844-4-44-24-44-2-42-42-200-222004-20000-2-2-42220000000000000000000000000-44000000000000002-20000000000000
χ5944-4-44-2-444-2-42-42-200-22200-420000224-2-2-2000000000000000000000000000004i−4i00000000000000−2i2i000000000
χ6044-4-44-2-444-2-42-42-200-22200-420000224-2-2-200000000000000000000000000000−4i4i000000000000002i−2i000000000
χ6144-4-4-244-4-242-42-4-200-22200-240000-2-22-422000000000000000000000004-400000000000000-22000000000000000
χ6244-4-4-244-4-242-42-4-200-22200-240000-2-22-42200000000000000000000000-44000000000000002-2000000000000000
χ6344-4-4-24-44-242-42-4-200-222002-4000022-24-2-20000000000000000000000000004i−4i00000000000000−2i2i00000000000
χ6444-4-4-24-44-242-42-4-200-222002-4000022-24-2-2000000000000000000000000000−4i4i000000000000002i−2i00000000000
χ654-44-44400-4-444-4-4400-44-4−2i22i20000000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000
χ664-44-44400-4-444-4-4400-44-42i2−2i200000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000
χ674-44-44-200-424-2-42-2002-22−2i22i2000023−230000000000023−23−2i22i2i2−i2i2−i2i2−i200i6−i6i6−i6i6−i6000000000000000000000000000000000
χ684-44-44-200-424-2-42-2002-22−2i22i20000−232300000000000−2323−2i22i2i2−i2i2−i2i2−i200−i6i6−i6i6−i6i6000000000000000000000000000000000
χ694-44-44-200-424-2-42-2002-222i2−2i2000023−230000000000023−232i2−2i2−i2i2−i2i2−i2i200−i6i6−i6i6−i6i6000000000000000000000000000000000
χ704-44-44-200-424-2-42-2002-222i2−2i20000−232300000000000−23232i2−2i2−i2i2−i2i2−i2i200i6−i6i6−i6i6−i6000000000000000000000000000000000
χ714-44-4-24002-4-242-4-2002-22−2i22i200−2i32i300000000000−2i32i300i2−i2−2i22i2i2−i2i2−i26−6006−6−66000000000000000000000000000000000
χ724-44-4-24002-4-242-4-2002-22−2i22i2002i3−2i3000000000002i3−2i300i2−i2−2i22i2i2−i2i2−i2−6600−666−6000000000000000000000000000000000
χ734-44-4-24002-4-242-4-2002-222i2−2i200−2i32i300000000000−2i32i300−i2i22i2−2i2−i2i2−i2i2−6600−666−6000000000000000000000000000000000
χ744-44-4-24002-4-242-4-2002-222i2−2i2002i3−2i3000000000002i3−2i300−i2i22i2−2i2−i2i2−i2i26−6006−6−66000000000000000000000000000000000
χ754-44-4-2-20022-2-222100-11-1−2i22i200−2i32i323−233i−3i003i−3i000i3−i3−33i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000000
χ764-44-4-2-20022-2-222100-11-1−2i22i200−2i32i3−2323−3i3i00−3i3i000i3−i33−3i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000
χ774-44-4-2-20022-2-222100-11-1−2i22i2002i3−2i323−23−3i3i00−3i3i000−i3i3−33i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000
χ784-44-4-2-20022-2-222100-11-1−2i22i2002i3−2i3−23233i−3i003i−3i000−i3i33−3i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000000
χ794-44-4-2-20022-2-222100-11-12i2−2i200−2i32i323−233i−3i003i−3i000i3−i3−33−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000000
χ804-44-4-2-20022-2-222100-11-12i2−2i200−2i32i3−2323−3i3i00−3i3i000i3−i33−3−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000
χ814-44-4-2-20022-2-222100-11-12i2−2i2002i3−2i323−23−3i3i00−3i3i000−i3i3−33−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000
χ824-44-4-2-20022-2-222100-11-12i2−2i2002i3−2i3−23233i−3i003i−3i000−i3i33−3−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000000
χ834-4-444400-4-4-4-444400-4-4400000000000000000000000000000000000000000000000000000000000000022−2200000
χ844-4-444400-4-4-4-444400-4-44000000000000000000000000000000000000000000000000000000000000000−222200000
χ8588-8-8-4-48-8-4-444442002-2-200-4-400002244-2-200000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4-88-4-444442002-2-200440000-2-2-4-42200000000000000000000000000000000000000000000000000000000
χ878-8-888-400-84-848-4-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-48004-84-8-48-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004444-4-4200-2-22000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4004444-4-4200-2-2200000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000

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