Finite Group Databasebeta

← Group #11887223

Character table — Group #11887223

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order12223344446666662366612121212121212122244446666121212121212121222444466888812121212121212121212121288884466121212121212242424248824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1111111-1-1-1-1111111111111-1-1-1-1-11-1-1111-1-11-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111-1-1-1-11111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-11111-1-1-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-1
χ511111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-111-1-1-111-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11111-1-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-11111-1-111
χ9111111-1-111111111-1111111-1-1-1-11111-1-11-1-1-1-1-1-1-11111-1-111-111111-1-111-1-111111-111-1-11111-1-1111-1-1-1-1-111-1-1-1-11-1
χ10111111-1-111111111-1111111-1-1-1-11111-1-11-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-1-111111-111-1-1-1-1-1-11-1-1-11-1-111-1-1-11111-11
χ11111111-1-111111111-1111111-1-1-1-11111-1-1-11-1-1-1-111-1-111-1-111-1-1-111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1111111-1-1-1-1-111111-1
χ12111111-1-111111111-1111111-1-1-1-11111-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-11-1-111111111-1-111111-111-1-1-1-1-11
χ13111111-1-111111111-1111111-1-1-1-111-1-1111-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-1-1111-111-1-1111-1-111-11
χ14111111-1-111111111-1111111-1-1-1-111-1-1111-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-111-1-111-1-1-1-11-111-1-1111111-1-1-111111-1-111-1-11-1
χ15111111-1-111111111-1111111-1-1-1-111-1-111-11-1-1-1-111-1-111-1-111111-1-1-111-1-1111111-11-1-1111111-1-111-1-1-1-1-11-1-111-1-1-11
χ16111111-1-111111111-1111111-1-1-1-111-1-111-11-1-1-1-111-1-111-1-1-1-1111-1-1-1-1-111111111-11-1-111-1-1-1-11-1-1-1-1-1-111111-1-1111-1
χ1722222222-2-2222222-22222-2-22222-2-2222200-2-2-2-20000-2-22200-200-222000022000000000000000000-20000-200000000
χ1822222222-2-2222222-22222-2-22222-2-2-2-2-2-200-2-2-2-20000-2-222002002-2-20000-2-200000000000000000020000200000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-20022220000-2-2-2-200200-2220000-2-2000000000000000000-20000200000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2220022220000-2-2-2-200-2002-2-200002200000000000000000020000-200000000
χ2122222-12222-1-122-122-1-1-1-12222-1-1-1-10000222-1-1-12222-1-1-1-1220000002222000000-1-1-1-1-1-1000020-1-1000-1-10-1-1-1-10000
χ2222222-12222-1-122-122-1-1-1-12222-1-1-1-10000222-1-1-12222-1-1-1-1-2-2000000-2-2-2-2000000-1-1-1-1-1-10000-201100011011110000
χ2322222-12222-1-122-122-1-1-1-12222-1-1-1-10000-2-22-1-1-1-2-2-2-2-1-1-1-122000000-2-2-2-2000000111111000020-1-1000-1-1011110000
χ2422222-12222-1-122-122-1-1-1-12222-1-1-1-10000-2-22-1-1-1-2-2-2-2-1-1-1-1-2-200000022220000001111110000-2011000110-1-1-1-10000
χ2522222-1-2-222-1-122-12-2-1-1-1-122-2-211-1-100002-2-2111-2-222-1-11122000000-2-222000000-11-1-1110000-20-1-1000110-1-1110000
χ2622222-1-2-222-1-122-12-2-1-1-1-122-2-211-1-100002-2-2111-2-222-1-111-2-200000022-2-2000000-11-1-11100002011000-1-1011-1-10000
χ2722222-1-2-222-1-122-12-2-1-1-1-122-2-211-1-10000-22-211122-2-2-1-1112200000022-2-20000001-111-1-10000-20-1-100011011-1-10000
χ2822222-1-2-222-1-122-12-2-1-1-1-122-2-211-1-10000-22-211122-2-2-1-111-2-2000000-2-2220000001-111-1-100002011000-1-10-1-1110000
χ292222-12222222-1-12-12-1-1-1-1-1-1-1-12222222222-12-1-1-1-1-1-1-1-1-1-1002222-1-10000-1-1-1-1-1-122-1-1-1-100000200-1-1-100-100000000
χ302222-12222222-1-12-12-1-1-1-1-1-1-1-122222222-2-2-12-1-11111-1-1-1-1002-2-22-1-10000-1-11111-2-2111100000-200-11100-100000000
χ312222-12222222-1-12-12-1-1-1-1-1-1-1-12222-2-2-2-222-12-1-1-1-1-1-1-1-1-1-100-2-2-2-211000011111122-1-1-1-100000-20011100100000000
χ322222-12222222-1-12-12-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-12-1-11111-1-1-1-100-222-211000011-1-1-1-1-2-21111000002001-1-100100000000
χ332222-1222-2-222-1-12-1-2-1-1-1-111-1-122-2-22222001-211−i3i3−i3i311-1-100-200-2-1-10000-1-1−i3−i3i3i300−i3i3−i3i3000000001−i3i300100000000
χ342222-1222-2-222-1-12-1-2-1-1-1-111-1-122-2-22222001-211i3−i3i3−i311-1-100-200-2-1-10000-1-1i3i3−i3−i300i3−i3i3−i3000000001i3−i300100000000
χ352222-1222-2-222-1-12-1-2-1-1-1-111-1-122-2-2-2-2-2-2001-211−i3i3−i3i311-1-100200211000011i3i3−i3−i300−i3i3−i3i300000000-1i3−i300-100000000
χ362222-1222-2-222-1-12-1-2-1-1-1-111-1-122-2-2-2-2-2-2001-211i3−i3i3−i311-1-100200211000011−i3−i3i3i300i3−i3i3−i300000000-1−i3i300-100000000
χ372222-12-2-22222-1-12-1-2-1-1-1-1-1-111-2-22222-2-22-21-21111-1-1-1-11100-2222-1-1000011-1-1-1-12-2-1-11100000-200-11100100000000
χ382222-12-2-22222-1-12-1-2-1-1-1-1-1-111-2-22222-2-2-221-211-1-111-1-11100-2-2-22-1-10000111111-2211-1-100000200-1-1-100100000000
χ392222-12-2-22222-1-12-1-2-1-1-1-1-1-111-2-222-2-2222-21-21111-1-1-1-111002-2-2-2110000-1-111112-2-1-111000002001-1-100-100000000
χ402222-12-2-22222-1-12-1-2-1-1-1-1-1-111-2-222-2-222-221-211-1-111-1-11100222-2110000-1-1-1-1-1-1-2211-1-100000-20011100-100000000
χ412222-12-2-2-2-222-1-12-12-1-1-1-11111-2-2-2-222-2-200-12-1-1−i3i3i3−i3111100200-2-1-1000011i3i3−i3−i300i3−i3−i3i3000000001−i3i300-100000000
χ422222-12-2-2-2-222-1-12-12-1-1-1-11111-2-2-2-222-2-200-12-1-1i3−i3−i3i3111100200-2-1-1000011−i3−i3i3i300−i3i3i3−i3000000001i3−i300-100000000
χ432222-12-2-2-2-222-1-12-12-1-1-1-11111-2-2-2-2-2-22200-12-1-1−i3i3i3−i3111100-2002110000-1-1−i3−i3i3i300i3−i3−i3i300000000-1i3−i300100000000
χ442222-12-2-2-2-222-1-12-12-1-1-1-11111-2-2-2-2-2-22200-12-1-1i3−i3−i3i3111100-2002110000-1-1i3i3−i3−i300−i3i3i3−i300000000-1−i3i300100000000
χ4522-2-2222i−2i00-22-2-2-2202-22-2002i−2i2i−2i002-22i−2i0000000000002i−2i0000002-2−i2i22−22i−2i000000000022−2−200000000002−2−i2i2−i2i200
χ4622-2-2222i−2i00-22-2-2-2202-22-2002i−2i2i−2i002-22i−2i0000000000002i−2i0000002-2i2−i2−222i−2i0000000000−2−2220000000000−22i2−i2i2−i200
χ4722-2-2222i−2i00-22-2-2-2202-22-2002i−2i2i−2i00-22−2i2i0000000000002i−2i000000-22−i2i22−2−2i2i0000000000−2−22200000000002−2−i2i2i2−i200
χ4822-2-2222i−2i00-22-2-2-2202-22-2002i−2i2i−2i00-22−2i2i0000000000002i−2i000000-22i2−i2−22−2i2i000000000022−2−20000000000−22i2−i2−i2i200
χ4922-2-222−2i2i00-22-2-2-2202-22-200−2i2i−2i2i002-2−2i2i000000000000−2i2i0000002-2−i2i2−22−2i2i0000000000−2−2220000000000−22−i2i2−i2i200
χ5022-2-222−2i2i00-22-2-2-2202-22-200−2i2i−2i2i002-2−2i2i000000000000−2i2i0000002-2i2−i22−2−2i2i000000000022−2−200000000002−2i2−i2i2−i200
χ5122-2-222−2i2i00-22-2-2-2202-22-200−2i2i−2i2i00-222i−2i000000000000−2i2i000000-22−i2i2−222i−2i000000000022−2−20000000000−22−i2i2i2−i200
χ5222-2-222−2i2i00-22-2-2-2202-22-200−2i2i−2i2i00-222i−2i000000000000−2i2i000000-22i2−i22−22i−2i0000000000−2−22200000000002−2i2−i2−i2i200
χ532-22-222002-2-2-22-22-202-2-222-200002-2000000000000002-2002-202i−2i0000000002i−2i2i−2i0000002i−2i2i−2i002-200000000000000
χ542-22-222002-2-2-22-22-202-2-222-200002-2000000000000002-2002-20−2i2i000000000−2i2i−2i2i000000−2i2i−2i2i002-200000000000000
χ552-22-222002-2-2-22-22-202-2-222-200002-2000000000000002-200-2202i−2i0000000002i−2i2i−2i000000−2i2i−2i2i00-2200000000000000
χ562-22-222002-2-2-22-22-202-2-222-200002-2000000000000002-200-220−2i2i000000000−2i2i−2i2i0000002i−2i2i−2i00-2200000000000000
χ5744444-244-4-4-2-244-24-4-2-2-2-2-4-444-2-222000000-4222000022-2-20000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-2-244-244-2-2-2-2-4-4-4-422220000004-2-2-2000022220000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-241111-2-2-2-2-2-2-2-2000044-2-211-2-2-2-21111000000000000000000-2-211110000000000000000000000
χ604444-2-24444-2-2-2-2-2-241111-2-2-2-2-2-2-2-20000-4-4-2-2112222111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-4111122-2-2-2-22200000022-1-1−2i32i3−2i32i3-1-11100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-4111122-2-2-2-22200000022-1-12i3−2i32i3−2i3-1-11100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2-41111-2-22222-2-200004-422-1-122-2-211-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-2-41111-2-22222-2-20000-4422-1-1-2-22211-1-10000000000000000002-2-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-24111122222222000000-2-211−2i32i32i3−2i3-1-1-1-100000000000000000000−i3i3i3−i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-24111122222222000000-2-2112i3−2i3−2i32i3-1-1-1-100000000000000000000i3−i3−i3i30000000000000000000000
χ6744-4-44-24i−4i002-2-4-4240-22-22004i−4i−2i2i000000000000000000−2i2i00000000−2i22i222−2200000000000000000000000000−22i2−i20000
χ6844-4-44-24i−4i002-2-4-4240-22-22004i−4i−2i2i000000000000000000−2i2i000000002i2−2i2−2222000000000000000000000000002−2−i2i20000
χ6944-4-44-2−4i4i002-2-4-4240-22-2200−4i4i2i−2i0000000000000000002i−2i00000000−2i22i2−2222000000000000000000000000002−2i2−i20000
χ7044-4-44-2−4i4i002-2-4-4240-22-2200−4i4i2i−2i0000000000000000002i−2i000000002i2−2i222−2200000000000000000000000000−22−i2i20000
χ7144-4-4-244i−4i00-4422-4-20-22-2200−2i2i4i−4i004-44i−4i000000000000−2i2i000000-220000−2i2i00000000000000000000000000000000
χ7244-4-4-244i−4i00-4422-4-20-22-2200−2i2i4i−4i00-44−4i4i000000000000−2i2i0000002-200002i−2i00000000000000000000000000000000
χ7344-4-4-24−4i4i00-4422-4-20-22-22002i−2i−4i4i004-4−4i4i0000000000002i−2i000000-2200002i−2i00000000000000000000000000000000
χ7444-4-4-24−4i4i00-4422-4-20-22-22002i−2i−4i4i00-444i−4i0000000000002i−2i0000002-20000−2i2i00000000000000000000000000000000
χ754-44-44400-44-4-44-44-404-4-44-440000-4400000000000000-44000000000000000000000000000000000000000000000000
χ764-44-44-2004-4224-4-2-40-222-24-40000-2200000000000000-22004-40000000000000000000000000000-2200000000000000
χ774-44-44-2004-4224-4-2-40-222-24-40000-2200000000000000-2200-4400000000000000000000000000002-200000000000000
χ784-44-44-200-44224-4-2-40-222-2-4400002-2000000000000002-20000000000000000000000000000000000000−2i32i3000000000
χ794-44-44-200-44224-4-2-40-222-2-4400002-2000000000000002-200000000000000000000000000000000000002i3−2i3000000000
χ804-44-4-24004-4-4-4-22420-222-2-2200004-400000000000000-22000004i−4i000000000−2i2i−2i2i0000000000000000000000000000
χ814-44-4-24004-4-4-4-22420-222-2-2200004-400000000000000-2200000−4i4i0000000002i−2i2i−2i0000000000000000000000000000
χ824-44-4-2400-44-4-4-22420-222-22-20000-44000000000000002-2000000000000000023−23−23230000000000000000000000000000
χ834-44-4-2400-44-4-4-22420-222-22-20000-44000000000000002-20000000000000000−232323−230000000000000000000000000000
χ844-4-444400004-4-44-4-4044-4-400000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ854-4-444400004-4-44-4-4044-4-4000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ8688-8-8-4-48i−8i004-4444-402-22-200−4i4i−4i4i0000000000000000002i−2i0000000000000000000000000000000000000000000000
χ8788-8-8-4-4−8i8i004-4444-402-22-2004i−4i4i−4i000000000000000000−2i2i0000000000000000000000000000000000000000000000
χ888-88-8-4-4008-844-44-4402-2-22-440000-44000000000000002-2000000000000000000000000000000000000000000000000
χ898-88-8-4-400-8844-44-4402-2-224-400004-400000000000000-22000000000000000000000000000000000000000000000000
χ908-8-888-40000-44-884-80-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-4800008-84-4-840-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40000-444-444022-2-200000000000000006-6000000000000000000000000000000000000000000000000000000
χ938-8-88-4-40000-444-444022-2-20000000000000000-66000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).