Finite Group Databasebeta

← Group #11896069

Character table — Group #11896069

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222244444444444444444444444444444888888888888888888121212121212121212121212242424242424242424242424242424242424363636367272
order12223344446666663444446661212121212121212121212121212121212121212121212121212121212121212121212121212444412121212121212122444446612121212121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-11-1-111111-1-1-1-1-1-1-1-111111111111-1-11-1-11111-1-1-1-1-1-1-1-11111111111111-1-11-1-111-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111-1-11-1-111111-1-1-1-1-1-1-1-111111111111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111-1-11-1-111111-1-1-1-1-1-1-1-111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111-1-11-1-111111-1-1-1-1-1-1-1-111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-111111111-1-1
χ9111111-1-11111111111-1-11-1111-1-11111-1-1-1-111-1-1111111-11-1-11-1-1-1-1-11111-1-1-1-1111111111111-11-1-11-1-1-111-1-1-1-111-1-111-1-11-1
χ10111111-1-11111111111-1-11-1111-1-11111-1-1-1-111-1-1111111-11-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-11-11-11-1-111-1-111-1-111-1-111-11
χ11111111-1-11111111111-1-11-1111-1-11111-1-1-1-111-1-1111111-11-1-11-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-11-11-111-1-111-1-111-1-1-1-111-11
χ12111111-1-11111111111-1-11-1111-1-11111-1-1-1-111-1-1111111-11-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-11111-1-11111-1-11-1
χ13111111-1-1111111111-11-1-11111-1-1-1-1-1-1111111-1-1111111-1-11-1-11-1-1-1-1-1-1-1-11111111111111111-1-11-1-11-1-1-1-111-1-1-1-11111-1-1-11
χ14111111-1-1111111111-11-1-11111-1-1-1-1-1-1111111-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111-1-1-1-1-1111111-1-1-1-1111-1
χ15111111-1-1111111111-11-1-11111-1-1-1-1-1-1111111-1-1111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-111111-1-1-1-1-1-111-1-1111-1
χ16111111-1-1111111111-11-1-11111-1-1-1-1-1-1111111-1-1111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-11111-1-111-1-1-11
χ1722222222-2-2222222222-2-2-22222222-2-222-2-2-2-222-2-2-2-2-2-2-222-2-2-222-2-222-2-222-2-2000000000000000000000000000000000000
χ1822222222-2-22222222-2-2-22222222-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-222000000000000000000000000000000000000
χ19222222-2-2-2-222222222-22-22222-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-222-22-22-2-22222-2-2-2-222000000000000000000000000000000000000
χ20222222-2-2-2-22222222-2222-2222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22-2222-2-2-222-2-22222-2-2000000000000000000000000000000000000
χ2122222-122222-12-1-12-122222-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122000000-1-1-1-1222000-1-1-1-1-1-1000000000000
χ2222222-122222-12-1-12-122222-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000001111-2-2-2000111111000000000000
χ2322222-122222-12-1-12-1-2-22-2-2-1-1-122-2-211-2-21122-1-1-1-1-1-1-1-1-1112-2-2-1-1-1-11111111122000000-1-1-1-12-2-2000-1-11111000000000000
χ2422222-122222-12-1-12-1-2-22-2-2-1-1-122-2-211-2-21122-1-1-1-1-1-1-1-1-1112-2-2-1-1-1-111111111-2-20000001111-22200011-1-1-1-1000000000000
χ2522222-122-2-22-12-1-12-122-2-2-2-1-1-12222112211-2-2-1-11111111-1-1-2-2-2-1-111-1-111-1-11100000000−i3−i3i3i3000000−i3i3−i3i3−i3i3000000000000
χ2622222-122-2-22-12-1-12-122-2-2-2-1-1-12222112211-2-2-1-11111111-1-1-2-2-2-1-111-1-111-1-11100000000i3i3−i3−i3000000i3−i3i3−i3i3−i3000000000000
χ2722222-122-2-22-12-1-12-1-2-2-222-1-1-122-2-2-1-1-2-2-1-1-2-2-1-1111111111-222-1-11111-1-111-1-100000000−i3−i3i3i3000000−i3i3i3−i3i3−i3000000000000
χ2822222-122-2-22-12-1-12-1-2-2-222-1-1-122-2-2-1-1-2-2-1-1-2-2-1-1111111111-222-1-11111-1-111-1-100000000i3i3−i3−i3000000i3−i3−i3i3−i3i3000000000000
χ2922222-1-2-2222-12-1-12-12-2-22-2-1-1-1-2-222-1-1-2-2112211-1-1-1-1-1-11-11-22-21111-1-1-1-1111122000000-1-1-1-1-22-200011-1-111000000000000
χ3022222-1-2-2222-12-1-12-12-2-22-2-1-1-1-2-222-1-1-2-2112211-1-1-1-1-1-11-11-22-21111-1-1-1-11111-2-200000011112-22000-1-111-1-1000000000000
χ3122222-1-2-2222-12-1-12-1-22-2-22-1-1-1-2-2-2-21122-1-12211-1-1-1-1-1-111-1-2-2211111111-1-1-1-122000000-1-1-1-1-2-220001111-1-1000000000000
χ3222222-1-2-2222-12-1-12-1-22-2-22-1-1-1-2-2-2-21122-1-12211-1-1-1-1-1-111-1-2-2211111111-1-1-1-1-2-2000000111122-2000-1-1-1-111000000000000
χ3322222-1-2-2-2-22-12-1-12-12-22-22-1-1-1-2-22211-2-2-1-1-2-211111111-1-112-2211-1-1-1-11111-1-100000000−i3−i3i3i3000000i3−i3−i3i3i3−i3000000000000
χ3422222-1-2-2-2-22-12-1-12-12-22-22-1-1-1-2-22211-2-2-1-1-2-211111111-1-112-2211-1-1-1-11111-1-100000000i3i3−i3−i3000000−i3i3i3−i3−i3i3000000000000
χ3522222-1-2-2-2-22-12-1-12-1-2222-2-1-1-1-2-2-2-2-1-12211-2-211111111-11-122-211-1-111-1-1-1-11100000000−i3−i3i3i3000000i3−i3i3−i3−i3i3000000000000
χ3622222-1-2-2-2-22-12-1-12-1-2222-2-1-1-1-2-2-2-2-1-12211-2-211111111-11-122-211-1-111-1-1-1-11100000000i3i3−i3−i3000000−i3i3−i3i3i3−i3000000000000
χ372222-122222-12-122-1-122222-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022-1-1-1-10000000222000000-1-1-1-1-1-1000000
χ382222-122222-12-122-1-122222-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-211110000000-2-2-2000000111111000000
χ392222-122222-12-122-1-1-2-22-2-2-1-1-1-1-111-2-211-2-2-1-12222-1-1-1-12-2-2-111-1-1-1-1111111110022-1-1-1-100000002-2-2000000-1-11111000000
χ402222-122222-12-122-1-1-2-22-2-2-1-1-1-1-111-2-211-2-2-1-12222-1-1-1-12-2-2-111-1-1-1-11111111100-2-211110000000-22200000011-1-1-1-1000000
χ412222-1222-2-2-12-122-1-122-2-2-2-1-1-1-1-1-1-1-2-2-1-1-2-21122-2-21111-222111-1-111-1-111-1-1110000−i3−i3i3i30000000000000000−i3i3−i3i3−i3i3000000
χ422222-1222-2-2-12-122-1-122-2-2-2-1-1-1-1-1-1-1-2-2-1-1-2-21122-2-21111-222111-1-111-1-111-1-1110000i3i3−i3−i30000000000000000i3−i3i3−i3i3−i3000000
χ432222-1222-2-2-12-122-1-1-2-2-222-1-1-1-1-1112211221122-2-21111-2-2-21-1-1-1-11111-1-111-1-10000−i3−i3i3i30000000000000000−i3i3i3−i3i3−i3000000
χ442222-1222-2-2-12-122-1-1-2-2-222-1-1-1-1-1112211221122-2-21111-2-2-21-1-1-1-11111-1-111-1-10000i3i3−i3−i30000000000000000i3−i3−i3i3−i3i3000000
χ452222-12-2-222-12-122-1-12-2-22-2-1-1-111-1-12211-2-2-1-1-2-222-1-1-1-1-22-21-111111-1-1-1-111110022-1-1-1-10000000-22-200000011-1-111000000
χ462222-12-2-222-12-122-1-12-2-22-2-1-1-111-1-12211-2-2-1-1-2-222-1-1-1-1-22-21-111111-1-1-1-1111100-2-2111100000002-22000000-1-111-1-1000000
χ472222-12-2-222-12-122-1-1-22-2-22-1-1-11111-2-2-1-122-1-1-2-222-1-1-1-1-2-2211-111111111-1-1-1-10022-1-1-1-10000000-2-220000001111-1-1000000
χ482222-12-2-222-12-122-1-1-22-2-22-1-1-11111-2-2-1-122-1-1-2-222-1-1-1-1-2-2211-111111111-1-1-1-100-2-21111000000022-2000000-1-1-1-111000000
χ492222-12-2-2-2-2-12-122-1-12-22-22-1-1-111-1-1-2-2112211-2-2-2-2111122-2-11-111-1-1-1-11111-1-10000−i3−i3i3i30000000000000000i3−i3−i3i3i3−i3000000
χ502222-12-2-2-2-2-12-122-1-12-22-22-1-1-111-1-1-2-2112211-2-2-2-2111122-2-11-111-1-1-1-11111-1-10000i3i3−i3−i30000000000000000−i3i3i3−i3−i3i3000000
χ512222-12-2-2-2-2-12-122-1-1-2222-2-1-1-1111122-1-1-2-211-2-2-2-211112-22-1-1111-1-111-1-1-1-1110000−i3−i3i3i30000000000000000i3−i3i3−i3−i3i3000000
χ522222-12-2-2-2-2-12-122-1-1-2222-2-1-1-1111122-1-1-2-211-2-2-2-211112-22-1-1111-1-111-1-1-1-1110000i3i3−i3−i30000000000000000−i3i3−i3i3i3−i3000000
χ532-22-22200-22-2-22-22-22000002-2-200000000002-2002-222-2-20000000000000000002i−2i2-22-22-22i−2i2i−2i0000000000000000002i−2i0000
χ542-22-22200-22-2-22-22-22000002-2-200000000002-2002-222-2-20000000000000000002i−2i-22-22-222i−2i2i−2i000000000000000000−2i2i0000
χ552-22-22200-22-2-22-22-22000002-2-200000000002-2002-222-2-2000000000000000000−2i2i2-22-22-2−2i2i−2i2i000000000000000000−2i2i0000
χ562-22-22200-22-2-22-22-22000002-2-200000000002-2002-222-2-2000000000000000000−2i2i-22-22-22−2i2i−2i2i0000000000000000002i−2i0000
χ574444-2-24444-2-2-2-2-2-2144444111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-21-4-44-4-4111-2-222222222-2-2-2-2-2-21111-222-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-2144-4-4-4111-2-2-2-222-2-22222-2-222-1-1-1-12-2-222211-1-111-1-111-1-1000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-21-4-4-444111-2-222-2-222-2-222-2-222-1-1-1-12222-2-211-1-1-1-111-1-111000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-214-4-44-411122-2-2-2-22222-2-222-2-211112-222-22-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-21-44-4-44111222222-2-2-2-2-2-222-2-2111122-222-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-214-44-4411122-2-22222-2-2222222-1-1-1-1-2-22-22-2-1-11111-1-1-1-111000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-21-4444-41112222-2-2-2-222222222-1-1-1-1-22-2-2-22-1-111-1-11111-1-1000000000000000000000000000000000000
χ6544-4-4444-4004-4-44-4-4400000-44-44-400000000004-40000000000004-40000000000000000000000000000000000000000000000
χ6644-4-444-44004-4-44-4-4400000-44-4-440000000000-44000000000000-440000000000000000000000000000000000000000000000
χ6744-4-44-24-40042-4-22-4-2000002-224-40023−230023−2300-22000000000000-22000023−230023−23000000000000000000000000000000000000
χ6844-4-44-24-40042-4-22-4-2000002-224-400−232300−232300-22000000000000-220000−232300−2323000000000000000000000000000000000000
χ6944-4-44-2-440042-4-22-4-2000002-22-440023−2300−2323002-20000000000002-2000023−2300−2323000000000000000000000000000000000000
χ7044-4-44-2-440042-4-22-4-2000002-22-4400−23230023−23002-20000000000002-20000−23230023−23000000000000000000000000000000000000
χ7144-4-4-244-400-2-424-42-2000002-22-22−2i32i300−2i32i300004-4000000000000-2200−2i32i300−2i32i300000000000000000000000000000000000000
χ7244-4-4-244-400-2-424-42-2000002-22-222i3−2i3002i3−2i300004-4000000000000-22002i3−2i3002i3−2i300000000000000000000000000000000000000
χ7344-4-4-24-4400-2-424-42-2000002-222-2−2i32i3002i3−2i30000-440000000000002-200−2i32i3002i3−2i300000000000000000000000000000000000000
χ7444-4-4-24-4400-2-424-42-2000002-222-22i3−2i300−2i32i30000-440000000000002-2002i3−2i300−2i32i300000000000000000000000000000000000000
χ7544-4-4-2-24-400-222-222100000-11-1-22−2i32i323−23−2i32i323−2300-22003i−3i3i−3i0000001-13i−3ii3−i3−33i3−i3−33000000000000000000000000000000000000
χ7644-4-4-2-24-400-222-222100000-11-1-22−2i32i3−2323−2i32i3−232300-2200−3i3i−3i3i0000001-1−3i3ii3−i33−3i3−i33−3000000000000000000000000000000000000
χ7744-4-4-2-24-400-222-222100000-11-1-222i3−2i323−232i3−2i323−2300-2200−3i3i−3i3i0000001-1−3i3i−i3i3−33−i3i3−33000000000000000000000000000000000000
χ7844-4-4-2-24-400-222-222100000-11-1-222i3−2i3−23232i3−2i3−232300-22003i−3i3i−3i0000001-13i−3i−i3i33−3−i3i33−3000000000000000000000000000000000000
χ7944-4-4-2-2-4400-222-222100000-11-12-2−2i32i323−232i3−2i3−2323002-2003i−3i3i−3i000000-11−3i3ii3−i3−33−i3i33−3000000000000000000000000000000000000
χ8044-4-4-2-2-4400-222-222100000-11-12-2−2i32i3−23232i3−2i323−23002-200−3i3i−3i3i000000-113i−3ii3−i33−3−i3i3−33000000000000000000000000000000000000
χ8144-4-4-2-2-4400-222-222100000-11-12-22i3−2i323−23−2i32i3−2323002-200−3i3i−3i3i000000-113i−3i−i3i3−33i3−i33−3000000000000000000000000000000000000
χ8244-4-4-2-2-4400-222-222100000-11-12-22i3−2i3−2323−2i32i323−23002-2003i−3i3i−3i000000-11−3i3i−i3i33−3i3−i3−33000000000000000000000000000000000000
χ834-44-444004-4-4-44-44-44000004-4-40000000000-4400-44-4-444000000000000000000000000000000000000000000000000000000
χ844-44-44-2004-4-4242-2-4-200000-2220000000000-44002-222-2-20000000000000000000000000023−23−2323000000000000000000000000
χ854-44-44-2004-4-4242-2-4-200000-2220000000000-44002-222-2-200000000000000000000000000−232323−23000000000000000000000000
χ864-44-44-200-44-4242-2-4-200000-22200000000004-400-22-2-2220000000000000000004i−4i000000−2i2i−2i2i000000000000000000000000
χ874-44-44-200-44-4242-2-4-200000-22200000000004-400-22-2-222000000000000000000−4i4i0000002i−2i2i−2i000000000000000000000000
χ884-44-4-24004-42-4-2-442-200000-22200000000002-200-4422-2-20000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ894-44-4-24004-42-4-2-442-200000-22200000000002-200-4422-2-200000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ904-44-4-2400-442-4-2-442-200000-2220000000000-22004-4-2-222000000000000000000004-4-22-220000000000000000000000000000
χ914-44-4-2400-442-4-2-442-200000-2220000000000-22004-4-2-22200000000000000000000-442-22-20000000000000000000000000000
χ924-4-44440000-44-4-4-44400000-4-440000000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ934-4-44440000-44-4-4-44400000-4-4400000000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ948-88-8-4-4008-844-44-442000002-2-200000000004-4004-4-2-222000000000000000000000000000000000000000000000000000000
χ958-88-8-4-400-8844-44-442000002-2-20000000000-4400-4422-2-2000000000000000000000000000000000000000000000000000000
χ968-8-888-40000-8-4-8448-40000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-88-480000484-8-8-4-40000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-400004-4444-4200000-2-2200000000000000006i−6i−6i6i000000000000000000000000000000000000000000000000000000
χ998-8-88-4-400004-4444-4200000-2-220000000000000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000

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