Finite Group Databasebeta

← Group #11887462

Character table — Group #11887462

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order12223344446666663466612121212121212122244246612121212121212121212222444666666888812126661212128888246661212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-111111111-1-1-1-1-11-1-1111-1-11-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111-1-11111111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-1111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-111-1-11111111-1-11-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-11-111-1-1-111-11111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-11111-1-111
χ9111111-1-1111111111-11111-1-1-1-111111-1-11-111-1-1-1-1-1-1-1-111-11111111111111-1-1-1-1111-1-1-11111-1-1-1-1-1-1-111111-1-1-1-1-11
χ10111111-1-1111111111-11111-1-1-1-111111-1-11-111-1-1-1-1-1-1-1-111-1111-1-1111111-1-111-1-1111-1-1-1-1-1-1-11-111-1-1-1-1-11-1-111111-1
χ11111111-1-1111111111-11111-1-1-1-111111-1-1-11-1-1-1-111-1-1-1-111-1-1-111111-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-11-1-1-111111-1-11111-11
χ12111111-1-1111111111-11111-1-1-1-111111-1-1-11-1-1-1-111-1-1-1-111-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-111111111111-111-1-1111-1-1-1-11-1
χ13111111-1-1111111111-11111-1-1-1-1111-1-1111-111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-11-1-111111-111-1-1111-1
χ14111111-1-1111111111-11111-1-1-1-1111-1-1111-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111111111111-1-1-1-1-111-1-1-11
χ15111111-1-1111111111-11111-1-1-1-1111-1-111-11-1-1-1-111-1-1-1-111111-111-1-11111-1-11111-1-1-11111111-1-1-1-11-1-111-1-1-111-1-11-1
χ16111111-1-1111111111-11111-1-1-1-1111-1-111-11-1-1-1-111-1-1-1-111111-1-1-1-1-1111111-1-111-1-1-1111-1-1-1-11-1111-1-1-1-1-111-1-111-11
χ1722222222-2-22222222-2222-22222-2-2-222220000-2-20022-2-2-2-2-200-20022000000002200000000000000-20000-200000000
χ1822222222-2-22222222-2222-22222-2-2-2-2-2-2-20000-2-20022-2-2-2-2200200-2-200000000-2-20000000000000020000200000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200002200-2-222-2-2200-2002200000000-2-20000000000000020000-200000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200002200-2-222-2-2-200200-2-2000000002200000000000000-20000200000000
χ2122222-122222-122-1-1-12-1-1-1222-1-1-1-12222222-1-12-1-1-1-1-1-1-1-1-1222200-1-1-1-1-1-10000-1-12-1-12-1-100000200-1-1-100-100000000
χ2222222-122222-122-1-1-12-1-1-1222-1-1-1-122222-2-2112-111-1-1-1-1-1-12-2-2200-1-111110000-1-1-211-21100000-200-11100-100000000
χ2322222-122222-122-1-1-12-1-1-1222-1-1-1-12-2-2-2-222-1-12-1-1-1-1-1-1-1-1-1-2-2-2-2001111110000112-1-12-1-100000-20011100100000000
χ2422222-122222-122-1-1-12-1-1-1222-1-1-1-12-2-2-2-2-2-2112-111-1-1-1-1-1-1-222-20011-1-1-1-1000011-211-211000002001-1-100100000000
χ2522222-122-2-22-122-1-1-1-2-1-1-1-222-1-111-2222200−i3i3-21−i3i3-1-11111-200-200-1-1−i3−i3i3i30000-1-10−i3i30−i3i3000000001−i3i300100000000
χ2622222-122-2-22-122-1-1-1-2-1-1-1-222-1-111-2222200i3−i3-21i3−i3-1-11111-200-200-1-1i3i3−i3−i30000-1-10i3−i30i3−i3000000001i3−i300100000000
χ2722222-122-2-22-122-1-1-1-2-1-1-1-222-1-111-2-2-2-2-200−i3i3-21−i3i3-1-1111120020011i3i3−i3−i30000110−i3i30−i3i300000000-1i3−i300-100000000
χ2822222-122-2-22-122-1-1-1-2-1-1-1-222-1-111-2-2-2-2-200i3−i3-21i3−i3-1-1111120020011−i3−i3i3i30000110i3−i30i3−i300000000-1−i3i300-100000000
χ2922222-1-2-2222-122-1-1-1-2-1-1-12-2-211-1-1222-2-22-2-1-1-21111111-1-1-222200-1-1-1-1-1-10000112-1-1-21100000-20011100-100000000
χ3022222-1-2-2222-122-1-1-1-2-1-1-12-2-211-1-1222-2-2-2211-21-1-11111-1-1-2-2-2200-1-11111000011-2112-1-1000002001-1-100-100000000
χ3122222-1-2-2222-122-1-1-1-2-1-1-12-2-211-1-12-2-2222-2-1-1-21111111-1-12-2-2-2001111110000-1-12-1-1-21100000200-1-1-100100000000
χ3222222-1-2-2222-122-1-1-1-2-1-1-12-2-211-1-12-2-222-2211-21-1-11111-1-1222-20011-1-1-1-10000-1-1-2112-1-100000-200-11100100000000
χ3322222-1-2-2-2-22-122-1-1-12-1-1-1-2-2-21111-222-2-200−i3i32-1i3−i311-1-111200-200-1-1−i3−i3i3i30000110−i3i30i3−i300000000-1i3−i300100000000
χ3422222-1-2-2-2-22-122-1-1-12-1-1-1-2-2-21111-222-2-200i3−i32-1−i3i311-1-111200-200-1-1i3i3−i3−i30000110i3−i30−i3i300000000-1−i3i300100000000
χ3522222-1-2-2-2-22-122-1-1-12-1-1-1-2-2-21111-2-2-22200−i3i32-1i3−i311-1-111-20020011i3i3−i3−i30000-1-10−i3i30i3−i3000000001−i3i300-100000000
χ3622222-1-2-2-2-22-122-1-1-12-1-1-1-2-2-21111-2-2-22200i3−i32-1−i3i311-1-111-20020011−i3−i3i3i30000-1-10i3−i30−i3i3000000001i3−i300-100000000
χ372222-122222-12-1-122-12-1-1-1-1-1-12222-100002222-1222-1-1-1-1-1-1000022000000222200-1-1-1-1-1-1000020-1-1000-1-10-1-1-1-10000
χ382222-122222-12-1-122-12-1-1-1-1-1-12222-100002222-1222-1-1-1-1-1-10000-2-2000000-2-2-2-200-1-1-1-1-1-10000-201100011011110000
χ392222-122222-12-1-122-12-1-1-1-1-1-12222-10000-2-2-2-2-12-2-2-1-1-1-1-1-1000022000000-2-2-2-200111111000020-1-1000-1-1011110000
χ402222-122222-12-1-122-12-1-1-1-1-1-12222-10000-2-2-2-2-12-2-2-1-1-1-1-1-10000-2-20000002222001111110000-2011000110-1-1-1-10000
χ412222-12-2-222-12-1-122-1-2-1-1-1-111-2-222-100002-2221-2-2-21111-1-100002200000022-2-200-1-1-11110000-2011000-1-10-1-1110000
χ422222-12-2-222-12-1-122-1-2-1-1-1-111-2-222-100002-2221-2-2-21111-1-10000-2-2000000-2-22200-1-1-1111000020-1-100011011-1-10000
χ432222-12-2-222-12-1-122-1-2-1-1-1-111-2-222-10000-22-2-21-2221111-1-1000022000000-2-22200111-1-1-10000-2011000-1-1011-1-10000
χ442222-12-2-222-12-1-122-1-2-1-1-1-111-2-222-10000-22-2-21-2221111-1-10000-2-200000022-2-200111-1-1-1000020-1-1000110-1-1110000
χ4522-2-222002-2-2-22-2-2220-2-22200002-2-200000000000000002-202-202i−2i002-22-20000000000002i2i−2i−2i00000002i−2i000000000
χ4622-2-222002-2-2-22-2-2220-2-22200002-2-200000000000000002-202-20−2i2i002-22-2000000000000−2i−2i2i2i0000000−2i2i000000000
χ4722-2-222002-2-2-22-2-2220-2-22200002-2-200000000000000002-20-2202i−2i00-22-22000000000000−2i−2i2i2i00000002i−2i000000000
χ4822-2-222002-2-2-22-2-2220-2-22200002-2-200000000000000002-20-220−2i2i00-22-220000000000002i2i−2i−2i0000000−2i2i000000000
χ492-22-2222i−2i0022-2-2-2-2202-2-202i−2i2i−2i0002-22i−2i000000002i−2i00000000002-20000−i2i22−22i−2i000000−i2i2−i2i20000000000−i2i22−22−200
χ502-22-2222i−2i0022-2-2-2-2202-2-202i−2i2i−2i0002-22i−2i000000002i−2i00000000002-20000i2−i2−222i−2i000000i2−i2i2−i20000000000i2−i2−22−2200
χ512-22-2222i−2i0022-2-2-2-2202-2-202i−2i2i−2i000-22−2i2i000000002i−2i0000000000-220000−i2i22−2−2i2i000000i2−i2i2−i20000000000−i2i22−2−2200
χ522-22-2222i−2i0022-2-2-2-2202-2-202i−2i2i−2i000-22−2i2i000000002i−2i0000000000-220000i2−i2−22−2i2i000000−i2i2−i2i20000000000i2−i2−222−200
χ532-22-222−2i2i0022-2-2-2-2202-2-20−2i2i−2i2i0002-2−2i2i00000000−2i2i00000000002-20000−i2i2−22−2i2i000000−i2i2−i2i20000000000−i2i2−22−2200
χ542-22-222−2i2i0022-2-2-2-2202-2-20−2i2i−2i2i0002-2−2i2i00000000−2i2i00000000002-20000i2−i22−2−2i2i000000i2−i2i2−i20000000000i2−i22−22−200
χ552-22-222−2i2i0022-2-2-2-2202-2-20−2i2i−2i2i000-222i−2i00000000−2i2i0000000000-220000−i2i2−222i−2i000000i2−i2i2−i20000000000−i2i2−222−200
χ562-22-222−2i2i0022-2-2-2-2202-2-20−2i2i−2i2i000-222i−2i00000000−2i2i0000000000-220000i2−i22−22i−2i000000−i2i2−i2i20000000000i2−i22−2−2200
χ574444-2444-4-4-24-2-244-2-4-2-2-22-2-244-4-42000000002-400-2-222220000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-2-244-24-2-2-2222-4-4-4-4200000000-240022-2-2220000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2111111000000000000000000-211-2110000000000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-422-2-2221111110000000000000000002-1-12-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-41112-2-2-2-2222000000−2i32i322−2i32i311-1-1-1-10000000000000000000i3−i30i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-41112-2-2-2-22220000002i3−2i3222i3−2i311-1-1-1-10000000000000000000−i3i30−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111-22222-2-2-200004-4-2-22222-1-1-1-111000000000000000000-2112-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111-22222-2-2-20000-442222-2-2-1-1-1-1110000000000000000002-1-1-2110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000−2i32i3-2-22i3−2i3-1-111-1-10000000000000000000i3−i30−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-214111222222220000002i3−2i3-2-2−2i32i3-1-111-1-10000000000000000000−i3i30i3−i30000000000000000000000
χ6744-4-44400-44-4-44-4-4440-4-44-40000-4440000000000000000-440000000000000000000000000000000000000000000000
χ6844-4-44-2004-4-424-42-2-2022-240000-22-40000000000000000-2204-400000-22-220000000000000000000000000000000000
χ6944-4-44-2004-4-424-42-2-2022-240000-22-40000000000000000-220-44000002-22-20000000000000000000000000000000000
χ7044-4-44-200-44-424-42-2-2022-2-400002-2400000000000000002-200000000−2i32i32i3−2i30000000000000000000000000000000000
χ7144-4-44-200-44-424-42-2-2022-2-400002-2400000000000000002-2000000002i3−2i3−2i32i30000000000000000000000000000000000
χ7244-4-4-24004-42-4-22-44-2022-2-200004-420000000000000000-2200004i−4i00000000000000000000000000000−2i2i000000000
χ7344-4-4-24004-42-4-22-44-2022-2-200004-420000000000000000-220000−4i4i000000000000000000000000000002i−2i000000000
χ7444-4-4-2400-442-4-22-44-2022-220000-44-200000000000000002-2000000000000000000000000000000−2i32i300000000000000
χ7544-4-4-2400-442-4-22-44-2022-220000-44-200000000000000002-20000000000000000000000000000002i3−2i300000000000000
χ764-44-44-24i−4i004-2-4-422-20-22204i−4i−2i2i0004-44i−4i00000000−2i2i0000000000-2200000000−2i2i0000000000000000000000000000
χ774-44-44-24i−4i004-2-4-422-20-22204i−4i−2i2i000-44−4i4i00000000−2i2i00000000002-2000000002i−2i0000000000000000000000000000
χ784-44-44-2−4i4i004-2-4-422-20-2220−4i4i2i−2i0004-4−4i4i000000002i−2i0000000000-22000000002i−2i0000000000000000000000000000
χ794-44-44-2−4i4i004-2-4-422-20-2220−4i4i2i−2i000-444i−4i000000002i−2i00000000002-200000000−2i2i0000000000000000000000000000
χ804-44-4-244i−4i00-2422-4-4-20-2220−2i2i4i−4i000000000000000−2i2i0000000000000000−2i22i222−220000000000000000000000i2−i2−220000
χ814-44-4-244i−4i00-2422-4-4-20-2220−2i2i4i−4i000000000000000−2i2i00000000000000002i2−2i2−22220000000000000000000000−i2i22−20000
χ824-44-4-24−4i4i00-2422-4-4-20-22202i−2i−4i4i0000000000000002i−2i0000000000000000−2i22i2−22220000000000000000000000i2−i22−20000
χ834-44-4-24−4i4i00-2422-4-4-20-22202i−2i−4i4i0000000000000002i−2i00000000000000002i2−2i222−220000000000000000000000−i2i2−220000
χ844-4-44440000-4-4-444-440-44-40000000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ854-4-44440000-4-4-444-440-44-400000000000000000000000000000000000000000000000000−222222−22000000000000000000
χ8688-8-8-4-4008-844-444-420-2-22-40000-44400000000000000002-20000000000000000000000000000000000000000000000
χ8788-8-8-4-400-8844-444-420-2-22400004-4-40000000000000000-220000000000000000000000000000000000000000000000
χ888-88-8-4-48i−8i00-4-44444202-2-20−4i4i−4i4i0000000000000002i−2i00000000000000000000000000000000000000000000000000
χ898-88-8-4-4−8i8i00-4-44444202-2-204i−4i4i−4i000000000000000−2i2i00000000000000000000000000000000000000000000000000
χ908-8-888-40000-84-88-44-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-4800004-84-48-8-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40000444-4-4420-22-200000000000000000000006i−6i000000000000000000000000000000000000000000000000
χ938-8-88-4-40000444-4-4420-22-20000000000000000000000−6i6i000000000000000000000000000000000000000000000000

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