Finite Group Databasebeta

← Group #11895418

Character table — Group #11895418

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order1222334444666666346661212121212121212444422666612121212121212124444448888121212121212121266666688882466121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-111111111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-111
χ9111111-1-1111111111-111111-1-11-1-1111-1-11-111-1-1-1-111-1-1-1-111111-111-1-111-1-111111-111-1-11111-1-1-1-11-111-1-111-1-1-1-11-1
χ10111111-1-1111111111-111111-1-11-1-1111-1-11-111-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-111111-111-1-1-1-1-1-1-11-1-11-1-1-111-1-11111-11
χ11111111-1-1111111111-111111-1-11-1-1111-1-1-11-1-111-1-111-1-1-1-111-1-11-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-11-1111-111-1-1-1-111111-1
χ12111111-1-1111111111-111111-1-11-1-1111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-11-1-111111111111-1-1-11111-1-1-1-1-11
χ13111111-1-1111111111-111111-1-11-1-11-1-1111-111-1-1-1-111-1-1-1-111-1-1-1111-1-1-1-111-1-1-1-11-111-1-1-1-1-1-11-111-1111-1-111-1-111-11
χ14111111-1-1111111111-111111-1-11-1-11-1-1111-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11-111-1-111111111-11-1-111-1-111-1-11-1
χ15111111-1-1111111111-111111-1-11-1-11-1-111-11-1-111-1-111-1-1-1-11111-11-1-111-1-1111111-11-1-1111111-1-1-1-1-1111-1-1-1-111-1-1-11
χ16111111-1-1111111111-111111-1-11-1-11-1-111-11-1-111-1-111-1-1-1-1-1-111-1111-1-1-1-1111111-11-1-111-1-1-1-1-11-1-1-11-1-11111-1-1111-1
χ1722222222-2-22222222-2222-2-222-222-22222000000-2-2-2-222-2-20000-2-200002222000000000000000000-2-2000000000000
χ1822222222-2-22222222-2222-2-222-222-2-2-2-2-2000000-2-2-2-222-2-20000220000-2-2-2-200000000000000000022000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200000022-2-2-2-2220000-22000022-2-2000000000000000000-22000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200000022-2-2-2-22200002-20000-2-2220000000000000000002-2000000000000
χ2122222-122222-122-1-1-12-1-1-1-1-1222-1-12222222-1-1-1-12-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-122-1-1-1-1000020-1-1-1-1000000000000
χ2222222-122222-122-1-1-12-1-1-1-1-1222-1-122222-2-211112-1-1-1-1-1-1-100-2-2220000-1-1-1-11111-2-211110000-2011-1-1000000000000
χ2322222-122222-122-1-1-12-1-1-1-1-1222-1-12-2-2-2-222-1-1-1-12-1-1-1-1-1-1-100-2-2-2-200001111111122-1-1-1-10000-201111000000000000
χ2422222-122222-122-1-1-12-1-1-1-1-1222-1-12-2-2-2-2-2-211112-1-1-1-1-1-1-10022-2-200001111-1-1-1-1-2-21111000020-1-111000000000000
χ2522222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-2222200−i3i3−i3i3-2111-1-1110000-2-20000-1-1-1-1−i3−i3i3i300−i3i3−i3i3000000−i3i311000000000000
χ2622222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-2222200i3−i3i3−i3-2111-1-1110000-2-20000-1-1-1-1i3i3−i3−i300i3−i3i3−i3000000i3−i311000000000000
χ2722222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-2-2-2-2-200−i3i3−i3i3-2111-1-11100002200001111i3i3−i3−i300−i3i3−i3i3000000i3−i3-1-1000000000000
χ2822222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-2-2-2-2-200i3−i3i3−i3-2111-1-11100002200001111−i3−i3i3i300i3−i3i3−i3000000−i3i3-1-1000000000000
χ2922222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-2211222-2-22-2-1-111-21-1-1111100222-20000-1-111-1-1-1-12-2-1-1110000-2011-11000000000000
χ3022222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-2211222-2-2-2211-1-1-21-1-1111100-2-22-20000-1-1111111-2211-1-1000020-1-1-11000000000000
χ3122222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-22112-2-2222-2-1-111-21-1-1111100-2-2-22000011-1-111112-2-1-111000020-1-11-1000000000000
χ3222222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-22112-2-222-2211-1-1-21-1-111110022-22000011-1-1-1-1-1-1-2211-1-10000-20111-1000000000000
χ3322222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-222-2-200−i3i3i3−i32-11111-1-10000-220000-1-111−i3−i3i3i300−i3i3i3−i3000000i3−i31-1000000000000
χ3422222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-222-2-200i3−i3−i3i32-11111-1-10000-220000-1-111i3i3−i3−i300i3−i3−i3i3000000−i3i31-1000000000000
χ3522222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-2-2-22200−i3i3i3−i32-11111-1-100002-2000011-1-1i3i3−i3−i300−i3i3i3−i3000000−i3i3-11000000000000
χ3622222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-2-2-22200i3−i3−i3i32-11111-1-100002-2000011-1-1−i3−i3i3i300i3−i3−i3i3000000i3−i3-11000000000000
χ372222-122222-12-1-122-12-1-1-122-1-1-122-10000222222-12-1-1-1-1-1-1220000222200000000-1-1-1-1-1-10000020000-1-1-1-1-1-1-1-10000
χ382222-122222-12-1-122-12-1-1-122-1-1-122-10000222222-12-1-1-1-1-1-1-2-20000-2-2-2-200000000-1-1-1-1-1-100000-20000111111110000
χ392222-122222-12-1-122-12-1-1-122-1-1-122-10000-2-2-2-2-2-2-12-1-1-1-1-1-1220000-2-2-2-2000000001111110000020000-1-1-1-111110000
χ402222-122222-12-1-122-12-1-1-122-1-1-122-10000-2-2-2-2-2-2-12-1-1-1-1-1-1-2-2000022220000000011111100000-200001111-1-1-1-10000
χ412222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-100002-222-2-21-2-1-1111122000022-2-200000000-11-1-11100000-20000-1-111-1-1110000
χ422222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-100002-222-2-21-2-1-11111-2-20000-2-22200000000-11-1-111000002000011-1-111-1-10000
χ432222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-10000-22-2-2221-2-1-11111220000-2-222000000001-111-1-100000-20000-1-11111-1-10000
χ442222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-10000-22-2-2221-2-1-11111-2-2000022-2-2000000001-111-1-1000002000011-1-1-1-1110000
χ4522-2-22200-22-222-2-2-2202-2-22-200-20020000000000002-200002-22i−2i00000000002i−2i2i−2i0000002i2i−2i−2i0000002-20000000000
χ4622-2-22200-22-222-2-2-2202-2-22-200-20020000000000002-200002-2−2i2i0000000000−2i2i−2i2i000000−2i−2i2i2i0000002-20000000000
χ4722-2-22200-22-222-2-2-2202-2-22-200-20020000000000002-20000-222i−2i00000000002i−2i2i−2i000000−2i−2i2i2i000000-220000000000
χ4822-2-22200-22-222-2-2-2202-2-22-200-20020000000000002-20000-22−2i2i0000000000−2i2i−2i2i0000002i2i−2i−2i000000-220000000000
χ492-22-2222-2002-2-2-2-2220-22-2002-202-202-22-200000000002-200000000−i2i2−i2i22-22-20000000000−i2i2−i2i20000000000−i2i2−i2i2−i2i200
χ502-22-2222-2002-2-2-2-2220-22-2002-202-202-22-200000000002-200000000i2−i2i2−i22-22-20000000000i2−i2i2−i20000000000i2−i2i2−i2i2−i200
χ512-22-2222-2002-2-2-2-2220-22-2002-202-20-22-2200000000002-200000000−i2i2−i2i2-22-220000000000i2−i2i2−i20000000000−i2i2−i2i2i2−i200
χ522-22-2222-2002-2-2-2-2220-22-2002-202-20-22-2200000000002-200000000i2−i2i2−i2-22-220000000000−i2i2−i2i20000000000i2−i2i2−i2−i2i200
χ532-22-222-22002-2-2-2-2220-22-200-220-2202-2-220000000000-2200000000−i2i2i2−i22-2-220000000000−i2i2−i2i20000000000−i2i2i2−i2i2−i200
χ542-22-222-22002-2-2-2-2220-22-200-220-2202-2-220000000000-2200000000i2−i2−i2i22-2-220000000000i2−i2i2−i20000000000i2−i2−i2i2−i2i200
χ552-22-222-22002-2-2-2-2220-22-200-220-220-222-20000000000-2200000000−i2i2i2−i2-222-20000000000i2−i2i2−i20000000000−i2i2i2−i2−i2i200
χ562-22-222-22002-2-2-2-2220-22-200-220-220-222-20000000000-2200000000i2−i2−i2i2-222-20000000000−i2i2−i2i20000000000i2−i2−i2i2i2−i200
χ574444-2444-4-4-24-2-244-2-4-2-2-2-4-4-2-2244200000000002-422-2-2220000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-2-244-24-2-2-2-4-4222-4-420000000000-242222-2-20000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2111111000000000000000000-2-211110000000000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-42222-2-211111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-411122-2-22-2-22000000−2i32i3−2i32i322-1-111-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-411122-2-22-2-220000002i3−2i32i3−2i322-1-111-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111-2-222-222-200004-4-2-2222211-1-1-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111-2-222-222-20000-4422-2-22211-1-1-1-10000000000000000002-2-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000−2i32i32i3−2i3-2-2-1-1-1-11100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-214111222222220000002i3−2i3−2i32i3-2-2-1-1-1-11100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-444004-4-444-4-4-4404-4-4-4400400-4000000000000-4400000000000000000000000000000000000000000000000000
χ6844-4-44-2004-4-4-24-422-20-2222-200400-40000000000002-200000000000000000023−23−23230000000000000000000000000000
χ6944-4-44-2004-4-4-24-422-20-2222-200400-40000000000002-2000000000000000000−232323−230000000000000000000000000000
χ7044-4-44-200-44-4-24-422-20-222-2200-4004000000000000-220000004i−4i0000000000−2i2i−2i2i0000000000000000000000000000
χ7144-4-44-200-44-4-24-422-20-222-2200-4004000000000000-22000000−4i4i00000000002i−2i2i−2i0000000000000000000000000000
χ7244-4-4-24004-424-22-4-4-20-222-4400-20020000000000002-2000000000000000000000000000000000000000023−2300000000
χ7344-4-4-24004-424-22-4-4-20-222-4400-20020000000000002-20000000000000000000000000000000000000000−232300000000
χ7444-4-4-2400-4424-22-4-4-20-2224-400200-2000000000000-2200004-400000000000000000000000000000000-220000000000
χ7544-4-4-2400-4424-22-4-4-20-2224-400200-2000000000000-220000-44000000000000000000000000000000002-20000000000
χ764-44-44-24-40042-4-42-2-202-22004-40-2204-44-40000000000-22000000000000-22-2200000000000000000000000000000000
χ774-44-44-24-40042-4-42-2-202-22004-40-220-44-440000000000-220000000000002-22-200000000000000000000000000000000
χ784-44-44-2-440042-4-42-2-202-2200-4402-204-4-4400000000002-2000000000000-222-200000000000000000000000000000000
χ794-44-44-2-440042-4-42-2-202-2200-4402-20-444-400000000002-20000000000002-2-2200000000000000000000000000000000
χ804-44-4-244-400-2-422-44-202-2200-2204-4000000000000000-2200000000−2i22i2−2i22i20000000000000000000000000000i2−i2i2−i20000
χ814-44-4-244-400-2-422-44-202-2200-2204-4000000000000000-22000000002i2−2i22i2−2i20000000000000000000000000000−i2i2−i2i20000
χ824-44-4-24-4400-2-422-44-202-22002-20-440000000000000002-200000000−2i22i22i2−2i20000000000000000000000000000i2−i2−i2i20000
χ834-44-4-24-4400-2-422-44-202-22002-20-440000000000000002-2000000002i2−2i2−2i22i20000000000000000000000000000−i2i2i2−i20000
χ844-4-44440000-4-4-444-440-4-440000000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ854-4-44440000-4-4-444-440-4-4400000000000000000000000000000000000000000000000000−222222−22000000000000000000
χ8688-8-8-4-4008-84-4-4444202-2-24-400-4004000000000000-2200000000000000000000000000000000000000000000000000
χ8788-8-8-4-400-884-4-4444202-2-2-4400400-40000000000002-200000000000000000000000000000000000000000000000000
χ888-88-8-4-48-800-44444-420-22-200-440-440000000000000002-2000000000000000000000000000000000000000000000000
χ898-88-8-4-4-8800-44444-420-22-2004-404-4000000000000000-22000000000000000000000000000000000000000000000000
χ908-8-888-40000-84-88-44-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-4800004-84-48-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40000444-4-4420-2-220000000000000000000000006-60000000000000000000000000000000000000000000000
χ938-8-88-4-40000444-4-4420-2-22000000000000000000000000-660000000000000000000000000000000000000000000000

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