Finite Group Databasebeta

← Group #11895249

Character table — Group #11895249

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order12223344446666663444666121212121212121212121212121212124444266666666121212121212121212121212448888121212128888444412121212121224242424228812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1
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
χ5111111111111111111-1-111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ6111111111111111111-1-111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11
χ8111111111111111111-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-1111111111-1111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-111-1-111-1-111111-11-11-111-1-111-1-111-1-11-1-1
χ10111111-1-1111111111-1111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-1-11111-1-1-1-1-1-11-1-111-111-1-1-1-111-1-111-111
χ11111111-1-1111111111-1111111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1111-1-1-1-111-1-1-1-1-111-1-11-1-11111-1-1-1-1111-11
χ12111111-1-1111111111-1111111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-11-1-111-1-1111111-11-11-11-1-111-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-11-111-1-111-1-11111-11-111-1-1-11111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-111-11-1-1-111-1-11111111-1-1
χ15111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11-1-11-1111-1-111-1-11111-11-1
χ16111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-11111111-11-1-1111-1-1-1-111-1-1-1-11-11
χ1722222222-2-22222222-200222-222220000-2-22222-2222200000000000-2-2-2-2-2-20000-2-20000222200000000-2-2000000000000000
χ1822222222-2-22222222-200222-222220000-2-22222-2-2-2-2-200000000000-2-2-2-2-2-20000220000-2-2-2-20000000022000000000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-20000-2-2-2-2-2-2-222-2-20000000000022-2-2220000-22000022-2-200000000-22000000000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-20000-2-2-2-2-2-2-2-2-2220000000000022-2-22200002-20000-2-222000000002-2000000000000000
χ2122222-1222222-1-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-12-1-1-1-1-1-1-1-1220000-1-1-1-100002200-1-1-1-1-1-100000000000
χ2222222-1222222-1-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2222-1-1-1-1-1-122-12-1-1-1-1-1-1-1-1-2-2000011110000-2-20011111100000000000
χ2322222-1222222-1-12-1-12-2-2-1-1-1222-1-11111-1-1-1-1-1-122222-2-2-2111111-2-2-12-1-1-1-11111220000-1-1-1-10000-2-200-1-1111100000000000
χ2422222-1222222-1-12-1-12-2-2-1-1-1222-1-11111-1-1-1-1-1-12-2-2-2-2-2-2-2111111-2-2-12-1-1-1-11111-2-2000011110000220011-1-1-1-100000000000
χ2522222-122-2-222-1-12-1-1-200-1-1-1-222-1-1−i3−i3i3i311-1-1-1-1-22222000−i3i3−i3−i3i3i3001-21111−i3−i3i3i3-2-20000-1-1-1-10000000011−i3i3−i3i300000000000
χ2622222-122-2-222-1-12-1-1-200-1-1-1-222-1-1−i3−i3i3i311-1-1-1-1-2-2-2-2-2000−i3i3−i3−i3i3i3001-21111−i3−i3i3i3220000111100000000-1-1i3−i3i3−i300000000000
χ2722222-122-2-222-1-12-1-1-200-1-1-1-222-1-1i3i3−i3−i311-1-1-1-1-22222000i3−i3i3i3−i3−i3001-21111i3i3−i3−i3-2-20000-1-1-1-10000000011i3−i3i3−i300000000000
χ2822222-122-2-222-1-12-1-1-200-1-1-1-222-1-1i3i3−i3−i311-1-1-1-1-2-2-2-2-2000i3−i3i3i3−i3−i3001-21111i3i3−i3−i3220000111100000000-1-1−i3i3−i3i300000000000
χ2922222-1-2-22222-1-12-1-1-222-1-1-12-2-211-1-1-1-1-1-11111222-2-2-2-2-2111111221-2-1-111-1-1-1-12-20000-1-11100002-200-11-1-11100000000000
χ3022222-1-2-22222-1-12-1-1-222-1-1-12-2-211-1-1-1-1-1-111112-2-222-2-2-2111111221-2-1-111-1-1-1-1-22000011-1-10000-22001-111-1-100000000000
χ3122222-1-2-22222-1-12-1-1-2-2-2-1-1-12-2-2111111-1-11111222-2-2222-1-1-1-1-1-1-2-21-2-1-11111112-20000-1-1110000-2200-1111-1-100000000000
χ3222222-1-2-22222-1-12-1-1-2-2-2-1-1-12-2-2111111-1-111112-2-222222-1-1-1-1-1-1-2-21-2-1-1111111-22000011-1-100002-2001-1-1-11100000000000
χ3322222-1-2-2-2-222-1-12-1-1200-1-1-1-2-2-211−i3−i3i3i3111111-222-2-2000i3−i3i3i3−i3−i300-1211-1-1−i3−i3i3i3-220000-1-111000000001-1−i3i3i3−i300000000000
χ3422222-1-2-2-2-222-1-12-1-1200-1-1-1-2-2-211−i3−i3i3i3111111-2-2-222000i3−i3i3i3−i3−i300-1211-1-1−i3−i3i3i32-2000011-1-100000000-11i3−i3−i3i300000000000
χ3522222-1-2-2-2-222-1-12-1-1200-1-1-1-2-2-211i3i3−i3−i3111111-222-2-2000−i3i3−i3−i3i3i300-1211-1-1i3i3−i3−i3-220000-1-111000000001-1i3−i3−i3i300000000000
χ3622222-1-2-2-2-222-1-12-1-1200-1-1-1-2-2-211i3i3−i3−i3111111-2-2-222000−i3i3−i3−i3i3i300-1211-1-1i3i3−i3−i32-2000011-1-100000000-11−i3i3i3−i300000000000
χ372222-122222-1-122-12-1222-1-1-1-1-1-122222222-1-1-1-1-100002-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1002222000000000022000000-1-1-1-10000-1-10
χ382222-122222-1-122-12-1222-1-1-1-1-1-122222222-1-1-1-1-100002-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-200000011110000110
χ392222-122222-1-122-12-12-2-2-1-1-1-1-1-122-2-2-2-222-1-1-1-1-10000-211-2-21111112-1-1-1-1-111110022220000000000-2-2000000-1-1-1-10000110
χ402222-122222-1-122-12-12-2-2-1-1-1-1-1-122-2-2-2-222-1-1-1-1-10000-211-2-21111112-1-1-1-1-1111100-2-2-2-200000000002200000011110000-1-10
χ412222-12-2-222-1-122-12-1-222-1-1-1-111-2-22222221111-10000-211-2-21111-1-1-21-1-111-1-1-1-10022-2-200000000002-2000000-1-1110000-110
χ422222-12-2-222-1-122-12-1-222-1-1-1-111-2-22222221111-10000-211-2-21111-1-1-21-1-111-1-1-1-100-2-2220000000000-2200000011-1-100001-10
χ432222-12-2-222-1-122-12-1-2-2-2-1-1-1-111-2-2-2-2-2-2221111-100002-1-122-1-1-1-111-21-1-11111110022-2-20000000000-22000000-1-11100001-10
χ442222-12-2-222-1-122-12-1-2-2-2-1-1-1-111-2-2-2-2-2-2221111-100002-1-122-1-1-1-111-21-1-111111100-2-22200000000002-200000011-1-10000-110
χ4522-2-22200-222-2-2-2-22202i−2i2-2-2-200002i−2i2i−2i2-20000200000000000002i−2i002-2002i−2i2i−2i00000000002i2i−2i−2i000000000000002-200000
χ4622-2-22200-222-2-2-2-22202i−2i2-2-2-200002i−2i2i−2i2-20000200000000000002i−2i002-2002i−2i2i−2i0000000000−2i−2i2i2i00000000000000-2200000
χ4722-2-22200-222-2-2-2-2220−2i2i2-2-2-20000−2i2i−2i2i2-2000020000000000000−2i2i002-200−2i2i−2i2i00000000002i2i−2i−2i00000000000000-2200000
χ4822-2-22200-222-2-2-2-2220−2i2i2-2-2-20000−2i2i−2i2i2-2000020000000000000−2i2i002-200−2i2i−2i2i0000000000−2i−2i2i2i000000000000002-200000
χ492-2-22222-200-22-22-2-22000-2-2202-22-200000022-2-202i−2i2i−2i00000000000000000000000−i2i2−i2i22i−2i2i−2i2−22−20000000000−i2i2−i2i2002−2000
χ502-2-22222-200-22-22-2-22000-2-2202-22-200000022-2-202i−2i2i−2i00000000000000000000000i2−i2i2−i22i−2i2i−2i−22−220000000000i2−i2i2−i200−22000
χ512-2-22222-200-22-22-2-22000-2-2202-22-200000022-2-20−2i2i−2i2i00000000000000000000000−i2i2−i2i2−2i2i−2i2i−22−220000000000−i2i2−i2i200−22000
χ522-2-22222-200-22-22-2-22000-2-2202-22-200000022-2-20−2i2i−2i2i00000000000000000000000i2−i2i2−i2−2i2i−2i2i2−22−20000000000i2−i2i2−i2002−2000
χ532-2-2222-2200-22-22-2-22000-2-220-22-22000000-2-22202i−2i−2i2i00000000000000000000000−i2i2i2−i22i−2i−2i2i2−22−20000000000−i2i2i2−i200−22000
χ542-2-2222-2200-22-22-2-22000-2-220-22-22000000-2-22202i−2i−2i2i00000000000000000000000i2−i2−i2i22i−2i−2i2i−22−220000000000i2−i2−i2i2002−2000
χ552-2-2222-2200-22-22-2-22000-2-220-22-22000000-2-2220−2i2i2i−2i00000000000000000000000−i2i2i2−i2−2i2i2i−2i−22−220000000000−i2i2i2−i2002−2000
χ562-2-2222-2200-22-22-2-22000-2-220-22-22000000-2-2220−2i2i2i−2i00000000000000000000000i2−i2−i2i2−2i2i2i−2i2−22−20000000000i2−i2−i2i200−22000
χ574444-2444-4-4-2-244-24-2-400-2-2-22-2-2440000-4-4-2-2-2-22000000000000000-422222000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-244-24-2400-2-2-2222-4-40000-4-4222220000000000000004-222-2-2000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-200004-2-2-2-21111-2-2-2-21111111100000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-214-4-4111-2-2-2-2-22222-2-21111-20000-42222-1-1-1-122-2-21111-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4001112-2-2-2-2−2i3−2i32i32i322111120000000−2i32i3i3i3−i3−i30022-1-1-1-1i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4001112-2-2-2-22i32i3−2i3−2i3221111200000002i3−2i3−i3−i3i3i30022-1-1-1-1−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-444111-22222-2-2-2-2-2-2-1-1-1-1-20000-42222-1-1-1-1-2-22211-1-1111100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-4111-222222222-2-2-1-1-1-1-200004-2-2-2-21111222211-1-1-1-1-1-100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-2140011122222−2i3−2i32i32i322-1-1-1-1200000002i3−2i3−i3−i3i3i300-2-2-1-111i3i3−i3−i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21400111222222i32i3−2i3−2i322-1-1-1-120000000−2i32i3i3i3−i3−i300-2-2-1-111−i3−i3i3i300000000000000000000000000000000000
χ6744-4-444004-44-4-4-4-4440004-4-4400000000-440000-400000000000000000-4400000000000000000000000000000000000000000
χ6844-4-44-2004-44-422-4-2-2000-2224000023−23−23232-20000-4000000000000000002-20023−23−232300000000000000000000000000000000000
χ6944-4-44-2004-44-422-4-2-2000-22240000−232323−232-20000-4000000000000000002-200−232323−2300000000000000000000000000000000000
χ7044-4-44-200-444-422-4-2-204i−4i-222-40000−2i2i−2i2i-220000400000000000004i−4i00-2200−2i2i−2i2i00000000000000000000000000000000000
χ7144-4-44-200-444-422-4-2-20−4i4i-222-400002i−2i2i−2i-22000040000000000000−4i4i00-22002i−2i2i−2i00000000000000000000000000000000000
χ7244-4-4-24004-4-22-4-424-2000-222-200000000-440000200000−2i32i300−2i32i3−2i32i300002-200000000000000000000000000000000000000000
χ7344-4-4-24004-4-22-4-424-2000-222-200000000-4400002000002i3−2i3002i3−2i32i3−2i300002-200000000000000000000000000000000000000000
χ7444-4-4-2400-44-22-4-424-204i−4i-222200004i−4i4i−4i4-40000-20000000000000−2i2i00-2200−2i2i−2i2i00000000000000000000000000000000000
χ7544-4-4-2400-44-22-4-424-20−4i4i-22220000−4i4i−4i4i4-40000-200000000000002i−2i00-22002i−2i2i−2i00000000000000000000000000000000000
χ7644-4-4-2-2004-4-22222-210001-1-1-2000023−23−23232-23i−3i3i−3i200000−2i32i300i3−i3i3−i30000-113i−3i−333−300000000000000000000000000000000000
χ7744-4-4-2-2004-4-22222-210001-1-1-2000023−23−23232-2−3i3i−3i3i2000002i3−2i300−i3i3−i3i30000-11−3i3i−333−300000000000000000000000000000000000
χ7844-4-4-2-2004-4-22222-210001-1-1-20000−232323−232-23i−3i3i−3i2000002i3−2i300−i3i3−i3i30000-113i−3i3−3−3300000000000000000000000000000000000
χ7944-4-4-2-2004-4-22222-210001-1-1-20000−232323−232-2−3i3i−3i3i200000−2i32i300i3−i3i3−i30000-11−3i3i3−3−3300000000000000000000000000000000000
χ8044-4-4-2-200-44-22222-2104i−4i1-1-120000−2i2i−2i2i-223i−3i3i−3i-2000000000-333-3−2i2i001-1−3i3ii−ii−i00000000000000000000000000000000000
χ8144-4-4-2-200-44-22222-2104i−4i1-1-120000−2i2i−2i2i-22−3i3i−3i3i-20000000003-3-33−2i2i001-13i−3ii−ii−i00000000000000000000000000000000000
χ8244-4-4-2-200-44-22222-210−4i4i1-1-1200002i−2i2i−2i-223i−3i3i−3i-20000000003-3-332i−2i001-1−3i3i−ii−ii00000000000000000000000000000000000
χ8344-4-4-2-200-44-22222-210−4i4i1-1-1200002i−2i2i−2i-22−3i3i−3i3i-2000000000-333-32i−2i001-13i−3i−ii−ii00000000000000000000000000000000000
χ844-44-4440000-4-44-44-44000-44-4000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ854-44-4440000-4-44-44-44000-44-40000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ864-4-444-24-400-442-2-42-200022-204-4-22000000-2-22204i−4i4i−4i000000000000000000000000000−2i2i−2i2i0000000000000000000000000
χ874-4-444-24-400-442-2-42-200022-204-4-22000000-2-2220−4i4i−4i4i0000000000000000000000000002i−2i2i−2i0000000000000000000000000
χ884-4-444-2-4400-442-2-42-200022-20-442-200000022-2-204i−4i−4i4i000000000000000000000000000−2i2i2i−2i0000000000000000000000000
χ894-4-444-2-4400-442-2-42-200022-20-442-200000022-2-20−4i4i4i−4i0000000000000000000000000002i−2i−2i2i0000000000000000000000000
χ904-4-44-244-4002-2-442-4-200022-20-224-4000000-2-2220000000000000000000000000000−2i22i2−2i22i2000000000000000000i2−i2i2−i20000000
χ914-4-44-244-4002-2-442-4-200022-20-224-4000000-2-22200000000000000000000000000002i2−2i22i2−2i2000000000000000000−i2i2−i2i20000000
χ924-4-44-24-44002-2-442-4-200022-202-2-4400000022-2-20000000000000000000000000000−2i22i22i2−2i2000000000000000000i2−i2−i2i20000000
χ934-4-44-24-44002-2-442-4-200022-202-2-4400000022-2-200000000000000000000000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i20000000
χ948-88-88-40000-8-8-4484-40004-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-480000448-8-4-8-40004-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4000044-44-442000-22-2000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4000044-44-442000-22-200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-48-8004-44-4442000-2-220-44-4400000022-2-20000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-88004-44-4442000-2-2204-44-4000000-2-2220000000000000000000000000000000000000000000000000000000000000

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