Finite Group Databasebeta

← Group #11887051

Character table — Group #11887051

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order12223344446666663466612121212121212122222441212121212121212121212122244446666888812121212121212121212888824666612121212242424248822
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-111111111-1-1-1-11111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-111-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-111
χ9111111-1-1111111111-1111111-1-1-1-1111-1-11-1-1-111-1-111-1-1-1-1111-11111-1-111-1-111111-111-1-11111-1-111-1-11-1-1-111-1-1-1-11-1
χ10111111-1-1111111111-1111111-1-1-1-1111-1-11-1-1-111-1-111-1-1-1-1-1-11-11111-1-1-1-11111111-111-1-1-1-1-1-1-11-1-1-1-11-111-1-11111-11
χ11111111-1-1111111111-1111111-1-1-1-1111-1-1-11-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-111-1-1-1-1-11-1-111-1-1-1-11-111111-1-1-1-1-111111-1
χ12111111-1-1111111111-1111111-1-1-1-1111-1-1-11-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-11-1-111111111-1-1111-11111-1-1-1-1-11
χ13111111-1-1111111111-1111111-1-1-1-11-1-1111-1-1-111-1-111-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-11-11111-11-1-111-1-111-11
χ14111111-1-1111111111-1111111-1-1-1-11-1-1111-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-11-111-1-1111111-1-111-1111-1-111-1-11-1
χ15111111-1-1111111111-1111111-1-1-1-11-1-111-11-1-1-1-11111-1-1-1-111-1111-1-111-1-1111111-11-1-1111111-1-111-1-1-11-1-1-1-111-1-1-11
χ16111111-1-1111111111-1111111-1-1-1-11-1-111-11-1-1-1-11111-1-1-1-1-1-1-1111-1-11111-1-11111-11-1-111-1-1-1-1-11-1-1-1-1-111111-1-1111-1
χ1722222222-2-22222222-2222-2-2-22222-2222200-2-20000-2-2-2-22200-2-2002222000000000000000000000000-2-20000000000
χ1822222222-2-22222222-2222-2-2-22222-2-2-2-2-200-2-20000-2-2-2-222002200-2-2-2-2000000000000000000000000220000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200220000-2-222-2-200-220022-2-2000000000000000000000000-220000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200220000-2-222-2-2002-200-2-2220000000000000000000000002-20000000000
χ2122222-1222222-1-12-1-12-1-1-12-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1002222-1-1-1-10000-1-1-1-122-1-1-1-100002000-1-1-1-10000000000
χ2222222-1222222-1-12-1-12-1-1-12-1-122-1-122222-2-22-11111-1-1-1-1-1-10022-2-2-1-1-1-100001111-2-211110000-200011-1-10000000000
χ2322222-1222222-1-12-1-12-1-1-12-1-122-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-100-2-2-2-211110000111122-1-1-1-10000-200011110000000000
χ2422222-1222222-1-12-1-12-1-1-12-1-122-1-12-2-2-2-2-2-22-11111-1-1-1-1-1-100-2-22211110000-1-1-1-1-2-2111100002000-1-1110000000000
χ2522222-122-2-222-1-12-1-1-2-1-1-1-21122-1-1-2222200-21−i3i3−i3i31111-1-100-2-200-1-1-1-10000−i3−i3i3i300−i3i3−i3i300000000−i3i3110000000000
χ2622222-122-2-222-1-12-1-1-2-1-1-1-21122-1-1-2222200-21i3−i3i3−i31111-1-100-2-200-1-1-1-10000i3i3−i3−i300i3−i3i3−i300000000i3−i3110000000000
χ2722222-122-2-222-1-12-1-1-2-1-1-1-21122-1-1-2-2-2-2-200-21−i3i3−i3i31111-1-100220011110000i3i3−i3−i300−i3i3−i3i300000000i3−i3-1-10000000000
χ2822222-122-2-222-1-12-1-1-2-1-1-1-21122-1-1-2-2-2-2-200-21i3−i3i3−i31111-1-100220011110000−i3−i3i3i300i3−i3i3−i300000000−i3i3-1-10000000000
χ2922222-1-2-22222-1-12-1-1-2-1-1-12-1-1-2-211222-2-22-2-21-1-111-1-11111002-222-1-1110000-1-1-1-12-2-1-1110000-200011-110000000000
χ3022222-1-2-22222-1-12-1-1-2-1-1-12-1-1-2-211222-2-2-22-2111-1-1-1-11111002-2-2-2-1-11100001111-2211-1-100002000-1-1-110000000000
χ3122222-1-2-22222-1-12-1-1-2-1-1-12-1-1-2-2112-2-2222-2-21-1-111-1-1111100-22-2-211-1-1000011112-2-1-11100002000-1-11-10000000000
χ3222222-1-2-22222-1-12-1-1-2-1-1-12-1-1-2-2112-2-222-22-2111-1-1-1-1111100-222211-1-10000-1-1-1-1-2211-1-10000-2000111-10000000000
χ3322222-1-2-2-2-222-1-12-1-12-1-1-1-211-2-211-222-2-2002-1−i3i3i3−i311-1-11100-2200-1-1110000−i3−i3i3i300−i3i3i3−i300000000i3−i31-10000000000
χ3422222-1-2-2-2-222-1-12-1-12-1-1-1-211-2-211-222-2-2002-1i3−i3−i3i311-1-11100-2200-1-1110000i3i3−i3−i300i3−i3−i3i300000000−i3i31-10000000000
χ3522222-1-2-2-2-222-1-12-1-12-1-1-1-211-2-211-2-2-222002-1−i3i3i3−i311-1-111002-20011-1-10000i3i3−i3−i300−i3i3i3−i300000000−i3i3-110000000000
χ3622222-1-2-2-2-222-1-12-1-12-1-1-1-211-2-211-2-2-222002-1i3−i3−i3i311-1-111002-20011-1-10000−i3−i3i3i300i3−i3−i3i300000000i3−i3-110000000000
χ372222-122222-1-122-12-12-1-1-1-122-1-122-1000022-122222-1-1-1-1-1-1220000000022220000-1-1-1-1-1-1000002-1-10000-1-1-1-1-1-10000
χ382222-122222-1-122-12-12-1-1-1-122-1-122-1000022-122222-1-1-1-1-1-1-2-200000000-2-2-2-20000-1-1-1-1-1-100000-21100001111110000
χ392222-122222-1-122-12-12-1-1-1-122-1-122-10000-2-2-12-2-2-2-2-1-1-1-1-1-12200000000-2-2-2-20000111111000002-1-10000-1-111110000
χ402222-122222-1-122-12-12-1-1-1-122-1-122-10000-2-2-12-2-2-2-2-1-1-1-1-1-1-2-2000000002222000011111100000-211000011-1-1-1-10000
χ412222-12-2-222-1-122-12-1-2-1-1-1-12211-2-2-100002-21-222-2-2-1-11111220000000022-2-20000-11-1-11100000-2-1-1000011-1-1110000
χ422222-12-2-222-1-122-12-1-2-1-1-1-12211-2-2-100002-21-222-2-2-1-11111-2-200000000-2-2220000-11-1-111000002110000-1-111-1-10000
χ432222-12-2-222-1-122-12-1-2-1-1-1-12211-2-2-10000-221-2-2-222-1-111112200000000-2-22200001-111-1-100000-2-1-100001111-1-10000
χ442222-12-2-222-1-122-12-1-2-1-1-1-12211-2-2-10000-221-2-2-222-1-11111-2-20000000022-2-200001-111-1-1000002110000-1-1-1-1110000
χ452-22-222002-22-2-22-2-2202-2-222-20000-20000000000002-200002-2002i−2i000000002i−2i2i−2i0000002i2i−2i−2i002-200000000000000
χ462-22-222002-22-2-22-2-2202-2-222-20000-20000000000002-200002-200−2i2i00000000−2i2i−2i2i000000−2i−2i2i2i002-200000000000000
χ472-22-222002-22-2-22-2-2202-2-222-20000-20000000000002-20000-22002i−2i000000002i−2i2i−2i000000−2i−2i2i2i00-2200000000000000
χ482-22-222002-22-2-22-2-2202-2-222-20000-20000000000002-20000-2200−2i2i00000000−2i2i−2i2i0000002i2i−2i−2i00-2200000000000000
χ492-2-22222-200-2-2-2-22220-2-220002-22-202-22-20000000000002-20000002-22-22−22−200000000002−22−200000000002−22−22−200
χ502-2-22222-200-2-2-2-22220-2-220002-22-202-22-20000000000002-20000002-22-2−22−220000000000−22−220000000000−22−22−2200
χ512-2-22222-200-2-2-2-22220-2-220002-22-20-22-220000000000002-2000000-22-222−22−20000000000−22−2200000000002−22−2−2200
χ522-2-22222-200-2-2-2-22220-2-220002-22-20-22-220000000000002-2000000-22-22−22−2200000000002−22−20000000000−22−222−200
χ532-2-2222-2200-2-2-2-22220-2-22000-22-2202-2-22000000000000-220000002-2-222−2−2200000000002−22−200000000002−2−22−2200
χ542-2-2222-2200-2-2-2-22220-2-22000-22-2202-2-22000000000000-220000002-2-22−222−20000000000−22−220000000000−222−22−200
χ552-2-2222-2200-2-2-2-22220-2-22000-22-220-222-2000000000000-22000000-222-22−2−220000000000−22−2200000000002−2−222−200
χ562-2-2222-2200-2-2-2-22220-2-22000-22-220-222-2000000000000-22000000-222-2−222−200000000002−22−20000000000−222−2−2200
χ574444-2444-4-4-2-244-24-2-4-2-2-22-4-4-2-24420000002-400002222-2-20000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-244-24-24-2-2-22-4-422-4-42000000-24000022-2-2220000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2111111000000000000000000-2-211110000000000000000000000
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
χ614444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-2200000022−2i32i3−2i32i3-1-1-1-11100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-22000000222i3−2i32i3−2i3-1-1-1-11100000000000000000000−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
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-2−2i32i32i3−2i3-1-111-1-100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-22i3−2i3−2i32i3-1-111-1-100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-4440000-444-4-4-440-44-400000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ6844-4-4440000-444-4-4-440-44-4000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ694-44-44400-444-4-44-4-4404-4-4-4-4400004000000000000-4400000000000000000000000000000000000000000000000000
χ704-44-44-2004-44-42-2-42-20-2224-220000-4000000000000-22000000004i−4i00000000−2i2i−2i2i0000000000000000000000000000
χ714-44-44-2004-44-42-2-42-20-2224-220000-4000000000000-2200000000−4i4i000000002i−2i2i−2i0000000000000000000000000000
χ724-44-44-200-444-42-2-42-20-222-42-2000040000000000002-200000000000000000023−23−23230000000000000000000000000000
χ734-44-44-200-444-42-2-42-20-222-42-2000040000000000002-2000000000000000000−232323−230000000000000000000000000000
χ744-44-4-24004-4-22-442-4-20-222-24-400002000000000000-2200004-40000000000000000000000000000-2200000000000000
χ754-44-4-24004-4-22-442-4-20-222-24-400002000000000000-220000-4400000000000000000000000000002-200000000000000
χ764-44-4-2400-44-22-442-4-20-2222-440000-20000000000002-2000000000000000000000000000000000000000023−2300000000
χ774-44-4-2400-44-22-442-4-20-2222-440000-20000000000002-20000000000000000000000000000000000000000−232300000000
χ784-4-444-24-400-4-4224-2-2022-20004-4-2204-44-4000000000000-22000000-22-22000000000000000000000000000000000000
χ794-4-444-24-400-4-4224-2-2022-20004-4-220-44-44000000000000-220000002-22-2000000000000000000000000000000000000
χ804-4-444-2-4400-4-4224-2-2022-2000-442-204-4-440000000000002-2000000-222-2000000000000000000000000000000000000
χ814-4-444-2-4400-4-4224-2-2022-2000-442-20-444-40000000000002-20000002-2-22000000000000000000000000000000000000
χ824-4-44-244-40022-4-4-24-2022-2000-224-400000000000000000-22000000000022−2222−22000000000000000000000000−22−220000
χ834-4-44-244-40022-4-4-24-2022-2000-224-400000000000000000-220000000000−2222−22220000000000000000000000002−22−20000
χ844-4-44-24-440022-4-4-24-2022-20002-2-44000000000000000002-2000000000022−22−2222000000000000000000000000−222−20000
χ854-4-44-24-440022-4-4-24-2022-20002-2-44000000000000000002-20000000000−222222−220000000000000000000000002−2−220000
χ8688-8-88-40000-88-44-84-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4800004-48-84-8-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-400004-4-444420-22-200000000000000000000006-6000000000000000000000000000000000000000000000000
χ8988-8-8-4-400004-4-444420-22-20000000000000000000000-66000000000000000000000000000000000000000000000000
χ908-88-8-4-4008-8-444-444202-2-2-4-44000040000000000002-200000000000000000000000000000000000000000000000000
χ918-88-8-4-400-88-444-444202-2-244-40000-4000000000000-2200000000000000000000000000000000000000000000000000
χ928-8-88-4-48-8004444-4-420-2-22000-44-44000000000000000002-20000000000000000000000000000000000000000000000
χ938-8-88-4-4-88004444-4-420-2-220004-44-400000000000000000-220000000000000000000000000000000000000000000000

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