Finite Group Databasebeta

← Group #11889409

Character table — Group #11889409

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444888888888888881212121212121212121212121212121216161616161624242424242424242424242424242424363636367272
order122222334466666634666666612121212446612121212121212121212244444441212121212121212121212121212446881212121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1111111111111111-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-111-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-111-1-11-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-111-1-11-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ711111111111111111111111111111-1-111-1-11-1-111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1
χ811111111111111111111111111111-1-111-1-11-1-111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111-111-1-1-1-11111-1-1-1-111
χ91111-1-111111111111-1-1-1-1-111111111-1-1-111-1-1-1-111-1-11-111-1111-1-11111111-111-1-1-1-11-11-1-1-111-1-111-1-111-1-1-11
χ101111-1-111111111111-1-1-1-1-111111111-1-1-111-1-1-1-111-1-11-111-11-1-1-1-11111111-111-1-1-1111-1-1-1-1-1-111-1-111-1-1111-1
χ111111-1-111111111111-1-1-1-1-111111111-1-1-111-1-1-1-111-1-1-11-1-11-11111-1-1-1-1-1-11-111-1-11-1-1-1111111-1-111-1-1-1-1111-1
χ121111-1-111111111111-1-1-1-1-111111111-1-1-111-1-1-1-111-1-1-11-1-11-1-1-111-1-1-1-1-1-11-111-1-111-11-1111-1-111-1-11111-1-1-11
χ131111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-111-111-1-11-1-1-1-1111-1-111-1-1-1-1-11-1-1111-111-1-11111-1-1-1-111-1-111-11
χ141111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-111-111-1-11-1-1-1-11-1-1-1-111-1-1-1-1-11-1-111111-11-111-1-11111-1-111-1-11-1
χ151111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-111-111-1-1-11111-11111-1-11111-11-1-111-1-1-11-11-1-111-1-1-1-11111-1-11-1
χ161111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-111-111-1-1-11111-1-1-111-1-11111-11-1-111-11-1-111-1-1-1-11111-1-1-1-111-11
χ1722222222-2-22222222-22222222-2-2-2-2002200-200-2-2-2-2-22200-2-200-2-2-2-200000000000020020000000000000000
χ1822222222-2-22222222-22222222-2-2-2-2002200-200-2-2-2-2-2-2-20022002222000000000000-200-20000000000000000
χ192222222-12222-1-1-12-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-12-1-1-1-122222200-1-1-1-1-1-1-1-122-1-1-1-120-100-1-1-100000000000000
χ202222222-12222-1-1-12-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-2001111111122-1-1-1-1-2010011100000000000000
χ212222222-12222-1-1-12-1222-1-1-1-1-1-1-122-2-2-1-111-1112-1-1-1-122-2-22200-1-1-1-11111-2-21111-20-100-11100000000000000
χ222222222-12222-1-1-12-1222-1-1-1-1-1-1-122-2-2-1-111-1112-1-1-1-1-2-222-2-2001111-1-1-1-1-2-21111201001-1-100000000000000
χ232222222-1-2-222-1-1-12-1-222-1-1-1-1-111-2-200-1-1−i3i31−i3i3-211112200-2-2001111−i3−i3i3i300−i3i3−i3i300-100-1−i3i300000000000000
χ242222222-1-2-222-1-1-12-1-222-1-1-1-1-111-2-200-1-1−i3i31−i3i3-21111-2-2002200-1-1-1-1i3i3−i3−i300−i3i3−i3i3001001i3−i300000000000000
χ252222222-1-2-222-1-1-12-1-222-1-1-1-1-111-2-200-1-1i3−i31i3−i3-211112200-2-2001111i3i3−i3−i300i3−i3i3−i300-100-1i3−i300000000000000
χ262222222-1-2-222-1-1-12-1-222-1-1-1-1-111-2-200-1-1i3−i31i3−i3-21111-2-2002200-1-1-1-1−i3−i3i3i300i3−i3i3−i3001001−i3i300000000000000
χ27222222-1222-1-1222-1-12-1-122-1-1-122-1-122-1-122222-1-1-1-1-10000002200000000-1-1-1-1-1-102022000-1-1-1-1-1-1-1-1000000
χ28222222-1222-1-1222-1-12-1-122-1-1-122-1-122-1-122222-1-1-1-1-1000000-2-200000000-1-1-1-1-1-10-20-2-200011111111000000
χ29222222-1222-1-1222-1-12-1-122-1-1-122-1-1-2-2-1-1-2-22-2-2-1-1-1-1-10000002200000000111111020-2-2000-1-1-1-11111000000
χ30222222-1222-1-1222-1-12-1-122-1-1-122-1-1-2-2-1-1-2-22-2-2-1-1-1-1-1000000-2-2000000001111110-20220001111-1-1-1-1000000
χ312222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-2002002-2-2222-2002-20022-2-2000000000000200-20000000000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-2002002-2-222-2200-2200-2-222000000000000-20020000000000000000
χ332222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-1222-211-1-1111-2-1-1112-222-220011-1-1-1-1-1-12-2-1-111-20-10011100000000000000
χ342222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-1222-211-1-1111-2-1-111-22-2-22-200-1-11111112-2-1-11120100-1-1-100000000000000
χ352222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-122-2211111-1-1-2-1-1112-2-2-2-220011-1-11111-2211-1-120-1001-1-100000000000000
χ362222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-122-2211111-1-1-2-1-111-22222-200-1-111-1-1-1-1-2211-1-1-20100-11100000000000000
χ372222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-2-20011−i3i3-1i3−i3211-1-12-2002-200-1-111−i3−i3i3i300−i3i3i3−i300-1001i3−i300000000000000
χ382222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-2-20011−i3i3-1i3−i3211-1-1-2200-220011-1-1i3i3−i3−i300−i3i3i3−i300100-1−i3i300000000000000
χ392222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-2-20011i3−i3-1−i3i3211-1-12-2002-200-1-111i3i3−i3−i300i3−i3−i3i300-1001−i3i300000000000000
χ402222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-2-20011i3−i3-1−i3i3211-1-1-2200-220011-1-1−i3−i3i3i300i3−i3−i3i300100-1i3−i300000000000000
χ412222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-12-21122-2-2-21-1-1110000002200000000-11-1-1110-20-22000-1-111-1-111000000
χ422222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-12-21122-2-2-21-1-111000000-2-200000000-11-1-1110202-200011-1-111-1-1000000
χ432222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-1-2211-2-2-2221-1-11100000022000000001-111-1-10-202-2000-1-11111-1-1000000
χ442222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-1-2211-2-2-2221-1-111000000-2-2000000001-111-1-1020-2200011-1-1-1-111000000
χ452-2-2200222-2-2-2-22-22200000-2-222-22-200000000002-200002i−2i002-200002i−2i2i−2i000000000000002-20000002i−2i0000
χ462-2-2200222-2-2-2-22-22200000-2-222-22-200000000002-200002i−2i00-2200002i−2i2i−2i00000000000000-22000000−2i2i0000
χ472-2-2200222-2-2-2-22-22200000-2-222-22-200000000002-20000−2i2i002-20000−2i2i−2i2i000000000000002-2000000−2i2i0000
χ482-2-2200222-2-2-2-22-22200000-2-222-22-200000000002-20000−2i2i00-220000−2i2i−2i2i00000000000000-220000002i−2i0000
χ49444444-24-4-4-2-2444-2-2-4-2-244-2-2-2-4-42200-2-200-4002222200000000000000000000000000000000000000000000
χ50444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-24411-2-2-2-2-2-211110000000000000000-2-211110000000000000000000000
χ51444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-4-41122-222-21111000000000000000022-1-1-1-10000000000000000000000
χ52444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122220011−2i32i32−2i32i32-1-1-1-1000000000000000000i3−i3i3−i30000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222200112i3−2i322i3−2i32-1-1-1-1000000000000000000−i3i3−i3i30000000000000000000000
χ544444-4-4-24-4-4-2-2444-2-2422-4-4-2-2-2-4-422002200400-222-2-200000000000000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-24-4-1-1-2-2222211-1-10000000000000000-2211-1-10000000000000000000000
χ564444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-2-44-1-1222-2-2211-1-100000000000000002-2-1-1110000000000000000000000
χ574444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200-1-1−2i32i3-22i3−2i3-2-1-111000000000000000000i3−i3−i3i30000000000000000000000
χ584444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200-1-12i3−2i3-2−2i32i3-2-1-111000000000000000000−i3i3i3−i30000000000000000000000
χ5944-4-44-444004-4-4-44-4404-44-44-4-40000004-4000000000000000000000000000000000000000000000000000000
χ6044-4-44-44-2004-422-2-4-204-4-22-222000000-2200000000000000000023−2323−2300000000000000000000000000000000
χ6144-4-44-44-2004-422-2-4-204-4-22-222000000-22000000000000000000−2323−232300000000000000000000000000000000
χ6244-4-44-4-2400-22-4-442-20-224-4-222000000-2200000000000000000000000000000000000000000000i6−i6i6−i6000000
χ6344-4-44-4-2400-22-4-442-20-224-4-222000000-2200000000000000000000000000000000000000000000−i6i6−i6i6000000
χ6444-4-4-4444004-4-4-44-440-44-444-4-4000000-44000000000000000000000000000000000000000000000000000000
χ6544-4-4-444-2004-422-2-4-20-442-2-2220000002-200000000000000000023−23−232300000000000000000000000000000000
χ6644-4-4-444-2004-422-2-4-20-442-2-2220000002-2000000000000000000−232323−2300000000000000000000000000000000
χ6744-4-4-44-2400-22-4-442-202-2-44-2220000002-200000000000000000000000000000000000000000000i6−i6−i6i6000000
χ6844-4-4-44-2400-22-4-442-202-2-44-2220000002-200000000000000000000000000000000000000000000−i6i6i6−i6000000
χ694-44-4004400-444-4-4-4400000-44-4000000000000000000000000000000000000000000000000000000000022−2200
χ704-44-4004400-444-4-4-4400000-44-40000000000000000000000000000000000000000000000000000000000−222200
χ714-4-440044-44-4-4-44-44400000-4-44-44-440000000000-440000000000000000000000000000000000000000000000
χ724-4-44004-24-4-4-42-224-20000022-2-224-40000000000-2200004i−4i00000000−2i2i−2i2i0000000000000000000000000000
χ734-4-44004-24-4-4-42-224-20000022-2-224-40000000000-220000−4i4i000000002i−2i2i−2i0000000000000000000000000000
χ744-4-44004-2-44-4-42-224-20000022-22-2-4400000000002-20000000000000023−23−23230000000000000000000000000000
χ754-4-44004-2-44-4-42-224-20000022-22-2-4400000000002-200000000000000−232323−230000000000000000000000000000
χ764-4-4400-244-422-44-4-2-20000022-24-4-220000000000-22000000004-40000000000000000000000-22000000000000
χ774-4-4400-244-422-44-4-2-20000022-24-4-220000000000-2200000000-4400000000000000000000002-2000000000000
χ784-4-4400-24-4422-44-4-2-20000022-2-442-200000000002-20000000000000000000000000000000000−2i32i30000000000
χ794-4-4400-24-4422-44-4-2-20000022-2-442-200000000002-200000000000000000000000000000000002i3−2i30000000000
χ8088-8-88-8-4-400-4444-4420-44-442-2-20000002-2000000000000000000000000000000000000000000000000000000
χ8188-8-8-88-4-400-4444-44204-44-42-2-2000000-22000000000000000000000000000000000000000000000000000000
χ828-88-8008-400-88-444-8-4000004-4400000000000000000000000000000000000000000000000000000000000000
χ838-88-800-48004-48-8-84-4000004-4400000000000000000000000000000000000000000000000000000000000000
χ848-88-800-4-4004-4-4444200000-22-200000000000000006i−6i00000000000000000000000000000000000000000000
χ858-88-800-4-4004-4-4444200000-22-20000000000000000−6i6i00000000000000000000000000000000000000000000
χ868-8-8800-4-48-8444-44-4200000-2-22-44-4400000000002-20000000000000000000000000000000000000000000000
χ878-8-8800-4-4-88444-44-4200000-2-224-44-40000000000-220000000000000000000000000000000000000000000000

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