Finite Group Databasebeta

← Group #11887252

Character table — Group #11887252

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222223344666666344466666666666121212121212121244444121212121212121212121212121212121212121224888812121212888844446121212121224242424228812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-111-1
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
χ511111111111111111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ611111111111111111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-1-1-1-111-1-1111
χ711111111111111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-11111111111-1-1-1-11
χ811111111111111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ91111-1-11111111111111-1-1-1-1-11-1-1-1-1111111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-11111-111-1-11-1-11111-1-111-1-11-1-1
χ101111-1-11111111111111-1-1-1-1-11-1-1-1-1111111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-111-1-111-111
χ111111-1-11111111111111-1-1-1-1-11-1-1-1-11111111111-1-111-111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-111-1-1-1-111-1-11-111-1-111-1-1-1-1111-11
χ121111-1-11111111111111-1-1-1-1-11-1-1-1-11111111111-1-111-111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-111-1-11111111-1-111-111-1-1-1-11111-1-1-11-1
χ131111-1-111111111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111-1-11-1-11111-1-111-1-1-1-1-1-11111-1111-1-111-1-111111-1-11-1111-1-111-1-1-1-1-1-1-111
χ141111-1-111111111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111-1-11-1-11111-1-111-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-111-1-1-1111-1-1-1-11111111-1-1
χ151111-1-111111111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1111-1-11111-1-111-1-1-1-1-1-111111-111-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-11111-11-1
χ161111-1-111111111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1111-1-11111-1-111-1-1-1-1-1-111111-1-1-111-1-1111111-111-11-1-1-111-1-111-1-1-1-11-11
χ1722222222-2-2222222200-2222222222220000-2-2-2-222220000000-2-2-2-2-2-200000000-2-20000222200000000-2-2000000000000000
χ1822222222-2-2222222200-2222222222220000-2-2-2-2-2-2-2-20000000-2-2-2-2-2-200000000220000-2-2-2-20000000022000000000000000
χ192222222-12222-12-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-100002020-1-1-1-1-1-100000000000
χ202222222-12222-12-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222222-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011110000-20-2011111100000000000
χ212222222-12222-12-1-1-1-2-2222-1-1-1-1-1-1-1-1-11111-1-1222222-2-2-2-2-2112-1-1-1-1-111111111220000-1-1-1-10000-20-20-1-1111100000000000
χ222222222-12222-12-1-1-1-2-2222-1-1-1-1-1-1-1-1-11111-1-122-2-2-2-2-2-2-2-2-2112-1-1-1-1-111111111-2-2000011110000202011-1-1-1-100000000000
χ232222222-1-2-222-12-1-1-100-222-1-1-1-1-1-1-1-1-1−i3−i3i3i311-2-2222200000−i3i3-211111−i3−i3i3i3−i3−i3i3i3-2-20000-1-1-1-10000000011−i3i3−i3i300000000000
χ242222222-1-2-222-12-1-1-100-222-1-1-1-1-1-1-1-1-1−i3−i3i3i311-2-2-2-2-2-200000−i3i3-211111−i3−i3i3i3−i3−i3i3i3220000111100000000-1-1i3−i3i3−i300000000000
χ252222222-1-2-222-12-1-1-100-222-1-1-1-1-1-1-1-1-1i3i3−i3−i311-2-2222200000i3−i3-211111i3i3−i3−i3i3i3−i3−i3-2-20000-1-1-1-10000000011i3−i3i3−i300000000000
χ262222222-1-2-222-12-1-1-100-222-1-1-1-1-1-1-1-1-1i3i3−i3−i311-2-2-2-2-2-200000i3−i3-211111i3i3−i3−i3i3i3−i3−i3220000111100000000-1-1−i3i3−i3i300000000000
χ27222222-1222-1-12-122-1222-1-122-1-1-1-1-1-1-1222222-1-100002-1-1-1-122-12-1-1-1-1-1-1-1-1-1-1-1-1002222000000000202000000-1-1-1-10000-1-10
χ28222222-1222-1-12-122-1222-1-122-1-1-1-1-1-1-1222222-1-100002-1-1-1-122-12-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2000000000-20-200000011110000110
χ29222222-1222-1-12-122-1-2-22-1-122-1-1-1-1-1-1-1-2-2-2-222-1-10000-21111-2-2-12-1-1-1-111111111002222000000000-20-2000000-1-1-1-10000110
χ30222222-1222-1-12-122-1-2-22-1-122-1-1-1-1-1-1-1-2-2-2-222-1-10000-21111-2-2-12-1-1-1-11111111100-2-2-2-200000000020200000011110000-1-10
χ312222-2-222-2-22222222002-2-2-2-22-2-2-2-2220000-2-2-2-222-2-2000000022-2-222000000002-2000022-2-2000000002-2000000000000000
χ322222-2-222-2-22222222002-2-2-2-22-2-2-2-2220000-2-2-2-2-2-222000000022-2-22200000000-220000-2-22200000000-22000000000000000
χ332222-2-22-12222-12-1-1-122-2-2-211-11111-1-1-1-1-1-1-1-12222-2-2-222-2-211-21-1-111-1-1-1-11111-220000-1-1110000-20201-111-1-100000000000
χ342222-2-22-12222-12-1-1-122-2-2-211-11111-1-1-1-1-1-1-1-122-2-222-222-2-211-21-1-111-1-1-1-111112-2000011-1-1000020-20-11-1-11100000000000
χ352222-2-22-12222-12-1-1-1-2-2-2-2-211-11111-1-11111-1-12222-2-22-2-222-1-1-21-1-1111111-1-1-1-1-220000-1-111000020-201-1-1-11100000000000
χ362222-2-22-12222-12-1-1-1-2-2-2-2-211-11111-1-11111-1-122-2-2222-2-222-1-1-21-1-1111111-1-1-1-12-2000011-1-10000-2020-1111-1-100000000000
χ372222-2-22-1-2-222-12-1-1-1002-2-211-11111-1-1−i3−i3i3i311-2-222-2-200000i3−i32-111-1-1−i3−i3i3i3i3i3−i3−i32-20000-1-11100000000-11i3−i3−i3i300000000000
χ382222-2-22-1-2-222-12-1-1-1002-2-211-11111-1-1−i3−i3i3i311-2-2-2-22200000i3−i32-111-1-1−i3−i3i3i3i3i3−i3−i3-22000011-1-1000000001-1−i3i3i3−i300000000000
χ392222-2-22-1-2-222-12-1-1-1002-2-211-11111-1-1i3i3−i3−i311-2-222-2-200000−i3i32-111-1-1i3i3−i3−i3−i3−i3i3i32-20000-1-11100000000-11−i3i3i3−i300000000000
χ402222-2-22-1-2-222-12-1-1-1002-2-211-11111-1-1i3i3−i3−i311-2-2-2-22200000−i3i32-111-1-1i3i3−i3−i3−i3−i3i3i3-22000011-1-1000000001-1i3−i3−i3i300000000000
χ412222-2-2-1222-1-12-122-122-211-2-2-11111-1-1222222-1-10000-2-1-111-2-21-2-1-111-1-1-1-111110022-2-200000000020-2000000-1-1110000-110
χ422222-2-2-1222-1-12-122-122-211-2-2-11111-1-1222222-1-10000-2-1-111-2-21-2-1-111-1-1-1-1111100-2-222000000000-20200000011-1-100001-10
χ432222-2-2-1222-1-12-122-1-2-2-211-2-2-11111-1-1-2-2-2-222-1-10000211-1-1221-2-1-1111111-1-1-1-10022-2-2000000000-202000000-1-11100001-10
χ442222-2-2-1222-1-12-122-1-2-2-211-2-2-11111-1-1-2-2-2-222-1-10000211-1-1221-2-1-1111111-1-1-1-100-2-22200000000020-200000011-1-10000-110
χ4522-2-22-222002-22-2-2-220002-22-2-222-2-2-22000000002i−2i2i−2i00000000000000000000000−i2i2−i2i22i−2i2i−2i22−2−20000000000−i2i2−i2i2002−2000
χ4622-2-22-222002-22-2-2-220002-22-2-222-2-2-22000000002i−2i2i−2i00000000000000000000000i2−i2i2−i22i−2i2i−2i−2−2220000000000i2−i2i2−i200−22000
χ4722-2-22-222002-22-2-2-220002-22-2-222-2-2-2200000000−2i2i−2i2i00000000000000000000000−i2i2−i2i2−2i2i−2i2i−2−2220000000000−i2i2−i2i200−22000
χ4822-2-22-222002-22-2-2-220002-22-2-222-2-2-2200000000−2i2i−2i2i00000000000000000000000i2−i2i2−i2−2i2i−2i2i22−2−20000000000i2−i2i2−i2002−2000
χ4922-2-2-2222002-22-2-2-22000-22-22-2-2-222-22000000002i−2i−2i2i00000000000000000000000−i2i2i2−i22i−2i−2i2i22−2−20000000000−i2i2i2−i200−22000
χ5022-2-2-2222002-22-2-2-22000-22-22-2-2-222-22000000002i−2i−2i2i00000000000000000000000i2−i2−i2i22i−2i−2i2i−2−2220000000000i2−i2−i2i2002−2000
χ5122-2-2-2222002-22-2-2-22000-22-22-2-2-222-2200000000−2i2i2i−2i00000000000000000000000−i2i2i2−i2−2i2i2i−2i−2−2220000000000−i2i2i2−i2002−2000
χ5222-2-2-2222002-22-2-2-22000-22-22-2-2-222-2200000000−2i2i2i−2i00000000000000000000000i2−i2−i2i2−2i2i2i−2i22−2−20000000000i2−i2−i2i200−22000
χ532-2-2200222-2-2-2-22-2222i−2i00000-200002-22i−2i2i−2i2-22-2000002i−2i0000002-2002i−2i2i−2i000000000000002i−2i2i−2i000000000000002-200000
χ542-2-2200222-2-2-2-22-2222i−2i00000-200002-22i−2i2i−2i2-22-2000002i−2i0000002-2002i−2i2i−2i00000000000000−2i2i−2i2i00000000000000-2200000
χ552-2-2200222-2-2-2-22-222−2i2i00000-200002-2−2i2i−2i2i2-22-200000−2i2i0000002-200−2i2i−2i2i000000000000002i−2i2i−2i00000000000000-2200000
χ562-2-2200222-2-2-2-22-222−2i2i00000-200002-2−2i2i−2i2i2-22-200000−2i2i0000002-200−2i2i−2i2i00000000000000−2i2i−2i2i000000000000002-200000
χ57444444-24-4-4-2-24-244-200-4-2-244-2-2-2-2-2-2-20000-4-422000000000002-422220000000000000000000000000000000000000000000
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
χ59444444-2-244-2-2-2-2-2-21-4-44-2-2-2-211111112222-2-2-2-20000-4222222-2-21111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-2100-4-2-2-2-21111111−2i3−2i32i32i32222000000000−2i32i322-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-2100-4-2-2-2-211111112i32i3−2i3−2i322220000000002i3−2i322-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ624444-4-4-24-4-4-2-24-244-200422-4-4-22222-2-20000-4-42200000000000-2422-2-20000000000000000000000000000000000000000000
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
χ644444-4-4-2-244-2-2-2-2-2-21-4-4-422221-1-1-1-1112222-2-2-2-20000422-2-2-2-22211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-2100422221-1-1-1-111−2i3−2i32i32i322220000000002i3−2i3-2-2-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-2100422221-1-1-1-1112i32i3−2i3−2i32222000000000−2i32i3-2-2-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-44-44-2004-4-2-422-20004-4-222-2-2222-2000000004i−4i4i−4i000000000000000000000000000−2i2i−2i2i0000000000000000000000000
χ6844-4-44-44-2004-4-2-422-20004-4-222-2-2222-200000000−4i4i−4i4i0000000000000000000000000002i−2i2i−2i0000000000000000000000000
χ6944-4-44-4-2400-2242-4-4-2000-224-42-2-2222-200000000000000000000000000000000000−2i22i2−2i22i2000000000000000000i2−i2i2−i20000000
χ7044-4-44-4-2400-2242-4-4-2000-224-42-2-2222-2000000000000000000000000000000000002i2−2i22i2−2i2000000000000000000−i2i2−i2i20000000
χ7144-4-4-444-2004-4-2-422-2000-442-2222-2-22-2000000004i−4i−4i4i000000000000000000000000000−2i2i2i−2i0000000000000000000000000
χ7244-4-4-444-2004-4-2-422-2000-442-2222-2-22-200000000−4i4i4i−4i0000000000000000000000000002i−2i−2i2i0000000000000000000000000
χ7344-4-4-44-2400-2242-4-4-20002-2-44222-2-22-200000000000000000000000000000000000−2i22i22i2−2i2000000000000000000i2−i2−i2i20000000
χ7444-4-4-44-2400-2242-4-4-20002-2-44222-2-22-2000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i20000000
χ754-44-4004400-44-4-44-44000000040000-4-40000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ764-44-4004400-44-4-44-44000000040000-4-400000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ774-4-440044-44-4-4-44-4440000000-400004-40000-44-440000000000000-44000000000000000000000000000000000000000000000
χ784-4-44004-24-4-4-4242-2-24i−4i0000020000-22−2i2i−2i2i-224-4000004i−4i000000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ794-4-44004-24-4-4-4242-2-2−4i4i0000020000-222i−2i2i−2i-224-400000−4i4i000000-22002i−2i2i−2i000000000000000000000000000000000000000
χ804-4-44004-2-44-4-4242-2-2000000020000-2223−23−23232-2-4400000000000002-20023−23−2323000000000000000000000000000000000000000
χ814-4-44004-2-44-4-4242-2-2000000020000-22−232323−232-2-4400000000000002-200−232323−23000000000000000000000000000000000000000
χ824-4-4400-244-422-4-2-44-24i−4i0000020000-224i−4i4i−4i4-4-2200000−2i2i000000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ834-4-4400-244-422-4-2-44-2−4i4i0000020000-22−4i4i−4i4i4-4-22000002i−2i000000-22002i−2i2i−2i000000000000000000000000000000000000000
χ844-4-4400-24-4422-4-2-44-2000000020000-220000-442-2000000023−2300002-200000023−2323−2300000000000000000000000000000000000
χ854-4-4400-24-4422-4-2-44-2000000020000-220000-442-20000000−232300002-2000000−2323−232300000000000000000000000000000000000
χ864-4-4400-2-24-4222-22-214i−4i00000-13-33-31-1−2i2i−2i2i-22-2200000−2i2i0000001-13-3i−ii−i3i−3i−3i3i00000000000000000000000000000000000
χ874-4-4400-2-24-4222-22-214i−4i00000-1-33-331-1−2i2i−2i2i-22-2200000−2i2i0000001-1-33i−ii−i−3i3i3i−3i00000000000000000000000000000000000
χ884-4-4400-2-24-4222-22-21−4i4i00000-13-33-31-12i−2i2i−2i-22-22000002i−2i0000001-13-3−ii−ii−3i3i3i−3i00000000000000000000000000000000000
χ894-4-4400-2-24-4222-22-21−4i4i00000-1-33-331-12i−2i2i−2i-22-22000002i−2i0000001-1-33−ii−ii3i−3i−3i3i00000000000000000000000000000000000
χ904-4-4400-2-2-44222-22-210000000-13-33-31-123−23−23232-22-20000000−23230000-11-33−333−33−33−300000000000000000000000000000000000
χ914-4-4400-2-2-44222-22-210000000-13-33-31-1−232323−232-22-2000000023−230000-11-333−3−33−33−3300000000000000000000000000000000000
χ924-4-4400-2-2-44222-22-210000000-1-33-331-123−23−23232-22-2000000023−230000-113-3−333−3−33−3300000000000000000000000000000000000
χ934-4-4400-2-2-44222-22-210000000-1-33-331-1−232323−232-22-20000000−23230000-113-33−3−333−33−300000000000000000000000000000000000
χ9488-8-88-8-4-400-44-44442000-44-44-222-2-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-88-4-400-44-444420004-44-4-2-2-222-2200000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8008-400-884-8-44-40000000-400004400000000000000000000000000000000000000000000000000000000000000000000
χ978-88-800-48004-4-848-8-40000000-400004400000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-4004-444-442000000026-6-66-2-200000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-4004-444-44200000002-666-6-2-200000000000000000000000000000000000000000000000000000000000000000000

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