Finite Group Databasebeta

← Group #11887523

Character table — Group #11887523

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222223344666666344466666666666121212121212121222444121212121212121212121212121212121212121244668888121288882444661212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111-1-111111111111111-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1
χ611111111111111111-1-111111111111111-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-11-1-111-1-1-1-1-1-111-1-1111
χ711111111111111111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-111-1-111111111-1-1-1-11
χ811111111111111111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1
χ91111-1-11111111111111-1-1-1-1-11-1-1-1-1111111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1111-11
χ101111-1-11111111111111-1-1-1-1-11-1-1-1-1111111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-11111-1-111-1-1-1111-1-11111-1-1-11-1
χ111111-1-11111111111111-1-1-1-1-11-1-1-1-11111111111-1-111-111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-111-1-111111111-1-1111-1-1-111-1-111-1-11-1-1
χ121111-1-11111111111111-1-1-1-1-11-1-1-1-11111111111-1-111-111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-11-1-11111-1-1-1-1-111-1-111-111
χ131111-1-111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11111-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-11-1-1111-11-1-111-1-11111-11-1
χ141111-1-111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11111-1-1-1-1-1-11111-1111-1-111-1-1111111-1-111-11-1-1-1-111-1-1-1-11-11
χ151111-1-111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1111-1-111-1-11111-1-1-1-1-1-111111-1-1-111-1-1111111-1-111-1-11-11111-1-1-1-1-1-1-111
χ161111-1-111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1111-1-111-1-11111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-111-1-1-11-111-1-11111111-1-1
χ1722222222-2-2222222200-222222222222-2-20000-2-2222200000-2-200-2-2-2-200000000-2-2220000220000000000-2-20000000000000
χ1822222222-2-2222222200-222222222222-2-20000-2-2-2-2-2-200000-2-200-2-2-2-20000000022-2-20000-2-20000000000220000000000000
χ192222222-122-12-122-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-10000-1-100002020-1-1-1-1-1-100000000000
χ202222222-122-12-122-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2110000110000-20-2011111100000000000
χ212222222-122-12-122-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-11111222222-2-2-2-2-2-1211-1-1-1-11111111122-1-10000-1-10000-20-2011-1-11100000000000
χ222222222-122-12-122-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1111122-2-2-2-2-2-2-2-2-2-1211-1-1-1-111111111-2-21100001100002020-1-111-1-100000000000
χ232222222-1-2-2-12-122-1-100-222-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-22222000001-2−i3i31111−i3−i3i3i3−i3−i3i3i3-2-2-1-10000-1-100000000−i3i311−i3i300000000000
χ242222222-1-2-2-12-122-1-100-222-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-2-2-2-2-2000001-2−i3i31111−i3−i3i3i3−i3−i3i3i3221100001100000000i3−i3-1-1i3−i300000000000
χ252222222-1-2-2-12-122-1-100-222-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-22222000001-2i3−i31111i3i3−i3−i3i3i3−i3−i3-2-2-1-10000-1-100000000i3−i311i3−i300000000000
χ262222222-1-2-2-12-122-1-100-222-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-2-2-2-2-2000001-2i3−i31111i3i3−i3−i3i3i3−i3−i3221100001100000000−i3i3-1-1−i3i300000000000
χ27222222-12222-12-1-12-1222-1-122-1-1-1-1-1-1-1222222-1-100002-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000000202000000-1-1-1-10000-1-10
χ28222222-12222-12-1-12-1222-1-122-1-1-1-1-1-1-1222222-1-100002-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000-20-200000011110000110
χ29222222-12222-12-1-12-1-2-22-1-122-1-1-1-1-1-1-122-2-2-2-2-1-10000-211112-1-2-2-1-1-1-111111111000022220000000-20-2000000-1-1-1-10000110
χ30222222-12222-12-1-12-1-2-22-1-122-1-1-1-1-1-1-122-2-2-2-2-1-10000-211112-1-2-2-1-1-1-1111111110000-2-2-2-2000000020200000011110000-1-10
χ312222-2-222-2-22222222002-2-2-2-22-2-2-2-222-2-20000-2-222-2-2000002200-2-222000000002-2220000-2-200000000002-20000000000000
χ322222-2-222-2-22222222002-2-2-2-22-2-2-2-222-2-20000-2-2-2-222000002200-2-22200000000-22-2-20000220000000000-220000000000000
χ332222-2-22-122-12-122-1-122-2-2-211-11111-1-1-1-1-1-1-1-12222-2-2-222-2-21-211-1-111-1-1-1-11111-22-1-10000110000-2020111-1-1-100000000000
χ342222-2-22-122-12-122-1-122-2-2-211-11111-1-1-1-1-1-1-1-122-2-222-222-2-21-211-1-111-1-1-1-111112-2110000-1-1000020-20-1-1-111100000000000
χ352222-2-22-122-12-122-1-1-2-2-2-2-211-11111-1-1-1-111112222-2-22-2-2221-2-1-1-1-1111111-1-1-1-1-22-1-1000011000020-20-1-11-11100000000000
χ362222-2-22-122-12-122-1-1-2-2-2-2-211-11111-1-1-1-1111122-2-2222-2-2221-2-1-1-1-1111111-1-1-1-12-2110000-1-10000-202011-11-1-100000000000
χ372222-2-22-1-2-2-12-122-1-1002-2-211-11111-1-111−i3−i3i3i3-2-222-2-200000-12i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2-1-100001100000000i3−i3-11−i3i300000000000
χ382222-2-22-1-2-2-12-122-1-1002-2-211-11111-1-111−i3−i3i3i3-2-2-2-22200000-12i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-22110000-1-100000000−i3i31-1i3−i300000000000
χ392222-2-22-1-2-2-12-122-1-1002-2-211-11111-1-111i3i3−i3−i3-2-222-2-200000-12−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2-1-100001100000000−i3i3-11i3−i300000000000
χ402222-2-22-1-2-2-12-122-1-1002-2-211-11111-1-111i3i3−i3−i3-2-2-2-22200000-12−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-22110000-1-100000000i3−i31-1−i3i300000000000
χ412222-2-2-12222-12-1-12-122-211-2-2-11111-1-1222222-1-10000-2-1-111-21-2-2-1-111-1-1-1-11111000022-2-2000000020-2000000-1-1110000-110
χ422222-2-2-12222-12-1-12-122-211-2-2-11111-1-1222222-1-10000-2-1-111-21-2-2-1-111-1-1-1-111110000-2-2220000000-20200000011-1-100001-10
χ432222-2-2-12222-12-1-12-1-2-2-211-2-2-11111-1-122-2-2-2-2-1-10000211-1-1-2122-1-1111111-1-1-1-1000022-2-20000000-202000000-1-11100001-10
χ442222-2-2-12222-12-1-12-1-2-2-211-2-2-11111-1-122-2-2-2-2-1-10000211-1-1-2122-1-1111111-1-1-1-10000-2-222000000020-200000011-1-10000-110
χ452-22-22-22200-22-2-2-2220002-22-2-222-2-2-22000000002-22-2000000000000000000000002-2−i2i2−i2i22-2−i2−i2i2i20000000000−i2i2−i2i200−i2i2000
χ462-22-22-22200-22-2-2-2220002-22-2-222-2-2-22000000002-22-2000000000000000000000002-2i2−i2i2−i22-2i2i2−i2−i20000000000i2−i2i2−i200i2−i2000
χ472-22-22-22200-22-2-2-2220002-22-2-222-2-2-2200000000-22-2200000000000000000000000-22−i2i2−i2i2-22i2i2−i2−i20000000000−i2i2−i2i200i2−i2000
χ482-22-22-22200-22-2-2-2220002-22-2-222-2-2-2200000000-22-2200000000000000000000000-22i2−i2i2−i2-22−i2−i2i2i20000000000i2−i2i2−i200−i2i2000
χ492-22-2-222200-22-2-2-222000-22-22-2-2-222-22000000002-2-22000000000000000000000002-2−i2i2i2−i2-22i2i2−i2−i20000000000−i2i2i2−i200−i2i2000
χ502-22-2-222200-22-2-2-222000-22-22-2-2-222-22000000002-2-22000000000000000000000002-2i2−i2−i2i2-22−i2−i2i2i20000000000i2−i2−i2i200i2−i2000
χ512-22-2-222200-22-2-2-222000-22-22-2-2-222-2200000000-222-200000000000000000000000-22−i2i2i2−i22-2−i2−i2i2i20000000000−i2i2i2−i200i2−i2000
χ522-22-2-222200-22-2-2-222000-22-22-2-2-222-2200000000-222-200000000000000000000000-22i2−i2−i2i22-2i2i2−i2−i20000000000i2−i2−i2i200−i2i2000
χ532-2-2200222-2-2-22-22-222i−2i00000-200002-22-22i−2i2i−2i2-2000002i−2i0000002-2002i−2i2i−2i000000000000002i−2i2i−2i000000000000002-200000
χ542-2-2200222-2-2-22-22-222i−2i00000-200002-22-22i−2i2i−2i2-2000002i−2i0000002-2002i−2i2i−2i00000000000000−2i2i−2i2i00000000000000-2200000
χ552-2-2200222-2-2-22-22-22−2i2i00000-200002-22-2−2i2i−2i2i2-200000−2i2i0000002-200−2i2i−2i2i000000000000002i−2i2i−2i00000000000000-2200000
χ562-2-2200222-2-2-22-22-22−2i2i00000-200002-22-2−2i2i−2i2i2-200000−2i2i0000002-200−2i2i−2i2i00000000000000−2i2i−2i2i000000000000002-200000
χ57444444-24-4-44-24-2-24-200-4-2-244-2-2-2-2-2-2-2-4-4000022000000000-420022220000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-21444-2-2-2-21111111-2-2-2-2-2-2-2-200004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000
χ59444444-2-244-2-2-2-2-2-21-4-44-2-2-2-21111111-2-22222-2-20000-42222-2-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-2100-4-2-2-2-2111111122−2i3−2i32i32i32200000000022−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-2100-4-2-2-2-21111111222i32i3−2i3−2i322000000000222i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ624444-4-4-24-4-44-24-2-24-200422-4-4-22222-2-2-4-40000220000000004-20022-2-20000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-2144-422221-1-1-1-111-2-2-2-2-2-2-2-20000-4-2-222222211-1-11111-1-1-1-100000000000000000000000000000000000
χ644444-4-4-2-244-2-2-2-2-2-21-4-4-422221-1-1-1-111-2-22222-2-20000422-2-222-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-2100422221-1-1-1-11122−2i3−2i32i32i322000000000-2-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-2100422221-1-1-1-111222i32i3−2i3−2i322000000000-2-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-40044004-4-44-4-44000000040000-4-4000000000000000000000000000000000000000000022−22−2222000000000000000000000
χ6844-4-40044004-4-44-4-44000000040000-4-40000000000000000000000000000000000000000000−222222−22000000000000000000000
χ694-44-44-44-200242-4-4-2-20004-4-222-2-2222-2000000004-44-400000000000000000000000-220000-220000000000000000000000000
χ704-44-44-44-200242-4-4-2-20004-4-222-2-2222-200000000-44-44000000000000000000000002-200002-20000000000000000000000000
χ714-44-44-4-2400-4-2-4224-2000-224-42-2-2222-20000000000000000000000000000000000000−2i22i2−2i22i20000000000000000i2−i2i2−i20000000
χ724-44-44-4-2400-4-2-4224-2000-224-42-2-2222-200000000000000000000000000000000000002i2−2i22i2−2i20000000000000000−i2i2−i2i20000000
χ734-44-4-444-200242-4-4-2-2000-442-2222-2-22-2000000004-4-4400000000000000000000000-2200002-20000000000000000000000000
χ744-44-4-444-200242-4-4-2-2000-442-2222-2-22-200000000-444-4000000000000000000000002-20000-220000000000000000000000000
χ754-44-4-44-2400-4-2-4224-20002-2-44222-2-22-20000000000000000000000000000000000000−2i22i22i2−2i20000000000000000i2−i2−i2i20000000
χ764-44-4-44-2400-4-2-4224-20002-2-44222-2-22-200000000000000000000000000000000000002i2−2i2−2i22i20000000000000000−i2i2i2−i20000000
χ774-4-440044-44-4-44-44-440000000-400004-4-440000-440000000000000-44000000000000000000000000000000000000000000000
χ784-4-44004-24-42-4-2-442-24i−4i0000020000-22-22−2i2i−2i2i4-4000004i−4i000000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ794-4-44004-24-42-4-2-442-2−4i4i0000020000-22-222i−2i2i−2i4-400000−4i4i000000-22002i−2i2i−2i000000000000000000000000000000000000000
χ804-4-44004-2-442-4-2-442-2000000020000-222-223−23−2323-4400000000000002-20023−23−2323000000000000000000000000000000000000000
χ814-4-44004-2-442-4-2-442-2000000020000-222-2−232323−23-4400000000000002-200−232323−23000000000000000000000000000000000000000
χ824-4-4400-244-4-4242-2-4-24i−4i0000020000-224-44i−4i4i−4i-2200000−2i2i000000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ834-4-4400-244-4-4242-2-4-2−4i4i0000020000-224-4−4i4i−4i4i-22000002i−2i000000-22002i−2i2i−2i000000000000000000000000000000000000000
χ844-4-4400-24-44-4242-2-4-2000000020000-22-4400002-2000000023−2300002-200000023−2323−2300000000000000000000000000000000000
χ854-4-4400-24-44-4242-2-4-2000000020000-22-4400002-20000000−232300002-2000000−2323−232300000000000000000000000000000000000
χ864-4-4400-2-24-422-22-2214i−4i00000-13-33-31-1-22−2i2i−2i2i-2200000−2i2i0000001-13-3i−ii−i3i−3i−3i3i00000000000000000000000000000000000
χ874-4-4400-2-24-422-22-2214i−4i00000-1-33-331-1-22−2i2i−2i2i-2200000−2i2i0000001-1-33i−ii−i−3i3i3i−3i00000000000000000000000000000000000
χ884-4-4400-2-24-422-22-221−4i4i00000-13-33-31-1-222i−2i2i−2i-22000002i−2i0000001-13-3−ii−ii−3i3i3i−3i00000000000000000000000000000000000
χ894-4-4400-2-24-422-22-221−4i4i00000-1-33-331-1-222i−2i2i−2i-22000002i−2i0000001-1-33−ii−ii3i−3i−3i3i00000000000000000000000000000000000
χ904-4-4400-2-2-4422-22-2210000000-13-33-31-12-223−23−23232-20000000−23230000-11-33−333−33−33−300000000000000000000000000000000000
χ914-4-4400-2-2-4422-22-2210000000-13-33-31-12-2−232323−232-2000000023−230000-11-333−3−33−33−3300000000000000000000000000000000000
χ924-4-4400-2-2-4422-22-2210000000-1-33-331-12-223−23−23232-2000000023−230000-113-3−333−3−33−3300000000000000000000000000000000000
χ934-4-4400-2-2-4422-22-2210000000-1-33-331-12-2−232323−232-20000000−23230000-113-33−3−333−33−300000000000000000000000000000000000
χ9488-8-8008-400-4-848-84-40000000-400004400000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-800-480084-8-44-8-40000000-400004400000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-800-4-400-444-4442000000026-6-66-2-200000000000000000000000000000000000000000000000000000000000000000000
χ9788-8-800-4-400-444-444200000002-666-6-2-200000000000000000000000000000000000000000000000000000000000000000000
χ988-88-88-8-4-4004-4444-42000-44-44-222-2-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-88-4-4004-4444-420004-44-4-2-2-222-2200000000000000000000000000000000000000000000000000000000000000000000

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