Finite Group Databasebeta

← Group #11887440

Character table — Group #11887440

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order122233444466666634666121212121212121222444412121212121212121212121222244466888812121212121212121212121288882466666121212242424248824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-111111-1-1-1-1111111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-111-111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-11111-1-111
χ9111111-1-1111111111-1111111-1-1-1-1111-1-11-1-1-111-1-111-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11-111-1111-1-111-1-1111-1
χ10111111-1-1111111111-1111111-1-1-1-1111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-11-111-1-1111111-1-1-111111-1-111-1-1-11
χ11111111-1-1111111111-1111111-1-1-1-1111-1-1-11-1-1-1-11111-1-1-1-1-11111111-1-111-1-11111-11-1-1111111-1-111-1-1-11-1-1-1-111-1-11-1
χ12111111-1-1111111111-1111111-1-1-1-1111-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-11111-11-1-111-1-1-1-1-11-1-1-1-1-111111-1-111-11
χ13111111-1-1111111111-1111111-1-1-1-11-1-1111-1-1-111-1-111-1-1-1-111111-1-1-111-1-11111111-111-1-11111-1-1111-1-1-1-1-111-1-1-1-1-11
χ14111111-1-1111111111-1111111-1-1-1-11-1-1111-1-1-111-1-111-1-1-1-11-1-111-1-1-1-1-1111111111-111-1-1-1-1-1-1-11-1-11-1-1-111-1-111111-1
χ15111111-1-1111111111-1111111-1-1-1-11-1-111-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-11-111111-1-1-1-1-11111-11
χ16111111-1-1111111111-1111111-1-1-1-11-1-111-11-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-111-1-111-1-1-1-1-11-1-111111111-1-1111-11111-1-1-1-11-1
χ1722222222-2-22222222-2222-2-2-22222-2222200-2-20000-2-222-2-2-20000-222000022000000000000000000-200-20000000000
χ1822222222-2-22222222-2222-2-2-22222-2-2-2-2-200-2-20000-2-222-2-2200002-2-20000-2-200000000000000000020020000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200220000-2-2-2-22220000-2220000-2-2000000000000000000200-20000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200220000-2-2-2-222-200002-2-2000022000000000000000000-20020000000000
χ2122222-1222222-1-12-1-12-1-1-12-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1200222-1-10000-1-1-1-1-1-122-1-1-1-100002000-1-1-1-10000000000
χ2222222-1222222-1-12-1-12-1-1-12-1-122-1-122222-2-22-11111-1-1-1-1-1-1200-2-22-1-10000-1-11111-2-211110000-2000-111-10000000000
χ2322222-1222222-1-12-1-12-1-1-12-1-122-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-200-2-2-211000011111122-1-1-1-10000-200011110000000000
χ2422222-1222222-1-12-1-12-1-1-12-1-122-1-12-2-2-2-2-2-22-11111-1-1-1-1-1-1-20022-211000011-1-1-1-1-2-21111000020001-1-110000000000
χ2522222-122-2-222-1-12-1-1-2-1-1-1-21122-1-1-2222200-21−i3i3−i3i311-1-111-20000-2-1-10000-1-1−i3−i3i3i300−i3i3−i3i3000000001−i3i310000000000
χ2622222-122-2-222-1-12-1-1-2-1-1-1-21122-1-1-2222200-21i3−i3i3−i311-1-111-20000-2-1-10000-1-1i3i3−i3−i300i3−i3i3−i3000000001i3−i310000000000
χ2722222-122-2-222-1-12-1-1-2-1-1-1-21122-1-1-2-2-2-2-200-21−i3i3−i3i311-1-11120000211000011i3i3−i3−i300−i3i3−i3i300000000-1i3−i3-10000000000
χ2822222-122-2-222-1-12-1-1-2-1-1-1-21122-1-1-2-2-2-2-200-21i3−i3i3−i311-1-11120000211000011−i3−i3i3i300i3−i3i3−i300000000-1−i3i3-10000000000
χ2922222-1-2-22222-1-12-1-1-2-1-1-12-1-1-2-211222-2-22-2-21-1-111-1-11111-200-2-22-1-100001111112-2-1-111000020001-1-1-10000000000
χ3022222-1-2-22222-1-12-1-1-2-1-1-12-1-1-2-211222-2-2-22-2111-1-1-1-11111-200222-1-1000011-1-1-1-1-2211-1-10000-2000111-10000000000
χ3122222-1-2-22222-1-12-1-1-2-1-1-12-1-1-2-2112-2-2222-2-21-1-111-1-1111120022-2110000-1-1-1-1-1-12-2-1-1110000-2000-11110000000000
χ3222222-1-2-22222-1-12-1-1-2-1-1-12-1-1-2-2112-2-222-22-2111-1-1-1-11111200-2-2-2110000-1-11111-2211-1-100002000-1-1-110000000000
χ3322222-1-2-2-2-222-1-12-1-12-1-1-1-211-2-211-222-2-2002-1−i3i3i3−i31111-1-120000-2-1-1000011i3i3−i3−i300−i3i3i3−i300000000-1−i3i310000000000
χ3422222-1-2-2-2-222-1-12-1-12-1-1-1-211-2-211-222-2-2002-1i3−i3−i3i31111-1-120000-2-1-1000011−i3−i3i3i300i3−i3−i3i300000000-1i3−i310000000000
χ3522222-1-2-2-2-222-1-12-1-12-1-1-1-211-2-211-2-2-222002-1−i3i3i3−i31111-1-1-200002110000-1-1−i3−i3i3i300−i3i3i3−i3000000001i3−i3-10000000000
χ3622222-1-2-2-2-222-1-12-1-12-1-1-1-211-2-211-2-2-222002-1i3−i3−i3i31111-1-1-200002110000-1-1i3i3−i3−i300i3−i3−i3i3000000001−i3i3-10000000000
χ372222-122222-1-122-12-12-1-1-1-122-1-122-1000022-122222-1-1-1-1-1-1022000002222000000-1-1-1-1-1-1000002-1-10000-1-1-1-1-1-10000
χ382222-122222-1-122-12-12-1-1-1-122-1-122-1000022-122222-1-1-1-1-1-10-2-200000-2-2-2-2000000-1-1-1-1-1-100000-21100001111110000
χ392222-122222-1-122-12-12-1-1-1-122-1-122-10000-2-2-12-2-2-2-2-1-1-1-1-1-102200000-2-2-2-2000000111111000002-1-10000-1-111110000
χ402222-122222-1-122-12-12-1-1-1-122-1-122-10000-2-2-12-2-2-2-2-1-1-1-1-1-10-2-200000222200000011111100000-211000011-1-1-1-10000
χ412222-12-2-222-1-122-12-1-2-1-1-1-12211-2-2-100002-21-222-2-2-1-111110220000022-2-2000000-11-1-11100000-2-1-1000011-1-1110000
χ422222-12-2-222-1-122-12-1-2-1-1-1-12211-2-2-100002-21-222-2-2-1-111110-2-200000-2-222000000-11-1-111000002110000-1-111-1-10000
χ432222-12-2-222-1-122-12-1-2-1-1-1-12211-2-2-10000-221-2-2-222-1-1111102200000-2-2220000001-111-1-100000-2-1-100001111-1-10000
χ442222-12-2-222-1-122-12-1-2-1-1-1-12211-2-2-10000-221-2-2-222-1-111110-2-20000022-2-20000001-111-1-1000002110000-1-1-1-1110000
χ4522-2-2222i−2i00-222-2-2-220-22-20002i−2i2i−2i02-22i−2i00000000002i−2i000000002-22−2−i2i22i−2i0000000000−i2−i2i2i200000000002−2−i2i22−200
χ4622-2-2222i−2i00-222-2-2-220-22-20002i−2i2i−2i02-22i−2i00000000002i−2i000000002-2−22i2−i22i−2i0000000000i2i2−i2−i20000000000−22i2−i2−2200
χ4722-2-2222i−2i00-222-2-2-220-22-20002i−2i2i−2i0-22−2i2i00000000002i−2i00000000-222−2−i2i2−2i2i0000000000i2i2−i2−i200000000002−2−i2i2−2200
χ4822-2-2222i−2i00-222-2-2-220-22-20002i−2i2i−2i0-22−2i2i00000000002i−2i00000000-22−22i2−i2−2i2i0000000000−i2−i2i2i20000000000−22i2−i22−200
χ4922-2-222−2i2i00-222-2-2-220-22-2000−2i2i−2i2i02-2−2i2i0000000000−2i2i000000002-22−2i2−i2−2i2i0000000000i2i2−i2−i200000000002−2i2−i22−200
χ5022-2-222−2i2i00-222-2-2-220-22-2000−2i2i−2i2i02-2−2i2i0000000000−2i2i000000002-2−22−i2i2−2i2i0000000000−i2−i2i2i20000000000−22−i2i2−2200
χ5122-2-222−2i2i00-222-2-2-220-22-2000−2i2i−2i2i0-222i−2i0000000000−2i2i00000000-222−2i2−i22i−2i0000000000−i2−i2i2i200000000002−2i2−i2−2200
χ5222-2-222−2i2i00-222-2-2-220-22-2000−2i2i−2i2i0-222i−2i0000000000−2i2i00000000-22−22−i2i22i−2i0000000000i2i2−i2−i20000000000−22−i2i22−200
χ532-2-2222002-22-2-22-2-2202-2-222-20000-20000000000002-2000002-22i−2i0000000002i−2i2i−2i0000002i−2i2i−2i002-200000000000000
χ542-2-2222002-22-2-22-2-2202-2-222-20000-20000000000002-2000002-2−2i2i000000000−2i2i−2i2i000000−2i2i−2i2i002-200000000000000
χ552-2-2222002-22-2-22-2-2202-2-222-20000-20000000000002-200000-222i−2i0000000002i−2i2i−2i000000−2i2i−2i2i00-2200000000000000
χ562-2-2222002-22-2-22-2-2202-2-222-20000-20000000000002-200000-22−2i2i000000000−2i2i−2i2i0000002i−2i2i−2i00-2200000000000000
χ574444-2444-4-4-2-244-24-2-4-2-2-22-4-4-2-24420000002-4000022-2-2220000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-244-24-24-2-2-22-4-422-4-42000000-2400002222-2-20000000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-4-2-2222211111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-2200000022−2i32i3−2i32i3-1-111-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-22000000222i3−2i32i3−2i3-1-111-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-200004-422-2-22211-1-1-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-20000-442222-2-211-1-1-1-10000000000000000002-2-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-2−2i32i32i3−2i3-1-1-1-11100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-22i3−2i3−2i32i3-1-1-1-11100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-44-24i−4i00-44-22-42-202-220004i−4i−2i2i04-44i−4i0000000000−2i2i00000000-220000−2i2i00000000000000000000000000000000
χ6844-4-44-24i−4i00-44-22-42-202-220004i−4i−2i2i0-44−4i4i0000000000−2i2i000000002-200002i−2i00000000000000000000000000000000
χ6944-4-44-2−4i4i00-44-22-42-202-22000−4i4i2i−2i04-4−4i4i00000000002i−2i00000000-2200002i−2i00000000000000000000000000000000
χ7044-4-44-2−4i4i00-44-22-42-202-22000−4i4i2i−2i0-444i−4i00000000002i−2i000000002-20000−2i2i00000000000000000000000000000000
χ7144-4-4-244i−4i002-24-42-4-202-22000−2i2i4i−4i000000000000000−2i2i000000000022−22−2i22i200000000000000000000000000−22i2−i20000
χ7244-4-4-244i−4i002-24-42-4-202-22000−2i2i4i−4i000000000000000−2i2i0000000000−22222i2−2i2000000000000000000000000002−2−i2i20000
χ7344-4-4-24−4i4i002-24-42-4-202-220002i−2i−4i4i0000000000000002i−2i000000000022−222i2−2i200000000000000000000000000−22−i2i20000
χ7444-4-4-24−4i4i002-24-42-4-202-220002i−2i−4i4i0000000000000002i−2i0000000000−2222−2i22i2000000000000000000000000002−2i2−i20000
χ754-44-4440000-4-4-4-44440-4-440000000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ764-44-4440000-4-4-4-44440-4-4400000000000000000000000000000000000000000000000000−222222−22000000000000000000
χ774-4-444400-444-4-44-4-4404-4-4-4-4400004000000000000-4400000000000000000000000000000000000000000000000000
χ784-4-444-2004-44-42-2-42-20-2224-220000-4000000000000-2200000004i−4i000000000−2i2i−2i2i0000000000000000000000000000
χ794-4-444-2004-44-42-2-42-20-2224-220000-4000000000000-220000000−4i4i0000000002i−2i2i−2i0000000000000000000000000000
χ804-4-444-200-444-42-2-42-20-222-42-2000040000000000002-200000000000000000023−23−23230000000000000000000000000000
χ814-4-444-200-444-42-2-42-20-222-42-2000040000000000002-2000000000000000000−232323−230000000000000000000000000000
χ824-4-44-24004-4-22-442-4-20-222-24-400002000000000000-22000004-4000000000000000000000000000-2200000000000000
χ834-4-44-24004-4-22-442-4-20-222-24-400002000000000000-2200000-440000000000000000000000000002-200000000000000
χ844-4-44-2400-44-22-442-4-20-2222-440000-20000000000002-2000000000000000000000000000000000000000023−2300000000
χ854-4-44-2400-44-22-442-4-20-2222-440000-20000000000002-20000000000000000000000000000000000000000−232300000000
χ8688-8-8-4-48i−8i004-4-444420-22-2000−4i4i−4i4i0000000000000002i−2i000000000000000000000000000000000000000000000000
χ8788-8-8-4-4−8i8i004-4-444420-22-20004i−4i4i−4i000000000000000−2i2i000000000000000000000000000000000000000000000000
χ888-88-88-40000-8-8448-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-48000044-8-8-48-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400004444-4-420-2-220000000000000000000000006i−6i0000000000000000000000000000000000000000000000
χ918-88-8-4-400004444-4-420-2-22000000000000000000000000−6i6i0000000000000000000000000000000000000000000000
χ928-8-88-4-4008-8-444-444202-2-2-4-44000040000000000002-200000000000000000000000000000000000000000000000000
χ938-8-88-4-400-88-444-444202-2-244-40000-4000000000000-2200000000000000000000000000000000000000000000000000

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