Finite Group Databasebeta

← Group #11887566

Character table — Group #11887566

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222334444666666344466612121212121212121212121212121212222226666666612121212121212121212121244666688888888444412121212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1
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
χ511111111111111111-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ611111111111111111-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111
χ711111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-11
χ811111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-111111111111-1111-1-1111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-111-1-111-1-111111-11-11-111-1-111-1-111-1-11-1-1
χ10111111-1-111111111111-1111-1-1111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-111-1-1-1-11-1-111-111-1-1-1-111-1-111-111
χ11111111-1-111111111111-1111-1-1111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-1-11111-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111-11
χ12111111-1-111111111111-1111-1-1111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-1-111-1-1111111-11-11-11-1-111-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-11-111-1-111-1-11111-11-111-1-1-11111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1-111-11-1-1-111-1-11111111-1-1
χ15111111-1-1111111111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-11-1111-1-111-1-11111-11-1
χ16111111-1-1111111111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-11111111-11-1-1111-1-1-1-111-1-1-1-11-11
χ1722222222-2-2222222200-222222-2-2-22200002222-22222000000000-2-200-2-2-2-20000-2-22222000000000000-2-2000000000000000
χ1822222222-2-2222222200-222222-2-2-22200002222-2-2-2-2-2000000000-2-200-2-2-2-2000022-2-2-2-200000000000022000000000000000
χ19222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-222-2-20000000002200-2-2220000-2222-2-2000000000000-22000000000000000
χ20222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-2-2-2220000000002200-2-22200002-2-2-2220000000000002-2000000000000000
χ2122222-122222-12-12-1-1222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1000000002200-1-1-1-1-1-100000000000
χ2222222-122222-12-12-1-1222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-12-2-2-2-2222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2111100000000-2-20011111100000000000
χ2322222-122222-12-12-1-1-2-22-1-1-122-1-12-1-11111-1-1-1-122222-2-2-21111112-1-2-2-1-1-1-1111122-1-1-1-100000000-2-200-1-1111100000000000
χ2422222-122222-12-12-1-1-2-22-1-1-122-1-12-1-11111-1-1-1-12-2-2-2-2-2-2-21111112-1-2-2-1-1-1-11111-2-2111100000000220011-1-1-1-100000000000
χ2522222-122-2-22-12-12-1-100-2-1-1-12211-2-1-1−i3−i3i3i3-1-1-1-1-22222000−i3i3−i3−i3i3i3-21001111−i3−i3i3i3-2-2-1-1-1-100000000000011−i3i3−i3i300000000000
χ2622222-122-2-22-12-12-1-100-2-1-1-12211-2-1-1−i3−i3i3i3-1-1-1-1-2-2-2-2-2000−i3i3−i3−i3i3i3-21001111−i3−i3i3i3221111000000000000-1-1i3−i3i3−i300000000000
χ2722222-122-2-22-12-12-1-100-2-1-1-12211-2-1-1i3i3−i3−i3-1-1-1-1-22222000i3−i3i3i3−i3−i3-21001111i3i3−i3−i3-2-2-1-1-1-100000000000011i3−i3i3−i300000000000
χ2822222-122-2-22-12-12-1-100-2-1-1-12211-2-1-1i3i3−i3−i3-1-1-1-1-2-2-2-2-2000i3−i3i3i3−i3−i3-21001111i3i3−i3−i3221111000000000000-1-1−i3i3−i3i300000000000
χ2922222-1-2-2222-12-12-1-122-2-1-1-1-2-2-1-1211-1-1-1-11111222-2-2-2-2-2111111-2122-1-111-1-1-1-12-2-1-111000000002-200-11-1-11100000000000
χ3022222-1-2-2222-12-12-1-122-2-1-1-1-2-2-1-1211-1-1-1-111112-2-222-2-2-2111111-2122-1-111-1-1-1-1-2211-1-100000000-22001-111-1-100000000000
χ3122222-1-2-2222-12-12-1-1-2-2-2-1-1-1-2-2-1-121111111111222-2-2222-1-1-1-1-1-1-21-2-2-1-11111112-2-1-11100000000-2200-1111-1-100000000000
χ3222222-1-2-2222-12-12-1-1-2-2-2-1-1-1-2-2-1-1211111111112-2-222222-1-1-1-1-1-1-21-2-2-1-1111111-2211-1-1000000002-2001-1-1-11100000000000
χ3322222-1-2-2-2-22-12-12-1-1002-1-1-1-2-211-211−i3−i3i3i31111-222-2-2000i3−i3i3i3−i3−i32-10011-1-1−i3−i3i3i3-22-1-1110000000000001-1−i3i3i3−i300000000000
χ3422222-1-2-2-2-22-12-12-1-1002-1-1-1-2-211-211−i3−i3i3i31111-2-2-222000i3−i3i3i3−i3−i32-10011-1-1−i3−i3i3i32-211-1-1000000000000-11i3−i3−i3i300000000000
χ3522222-1-2-2-2-22-12-12-1-1002-1-1-1-2-211-211i3i3−i3−i31111-222-2-2000−i3i3−i3−i3i3i32-10011-1-1i3i3−i3−i3-22-1-1110000000000001-1i3−i3−i3i300000000000
χ3622222-1-2-2-2-22-12-12-1-1002-1-1-1-2-211-211i3i3−i3−i31111-2-2-222000−i3i3−i3−i3i3i32-10011-1-1i3i3−i3−i32-211-1-1000000000000-11−i3i3i3−i300000000000
χ372222-122222-12-12-12-1222-1-1-1-1-122-1222222-1-1-1-1-100002-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1000000222200000022000000-1-1-1-10000-1-10
χ382222-122222-12-12-12-1222-1-1-1-1-122-1222222-1-1-1-1-100002-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2000000-2-200000011110000110
χ392222-122222-12-12-12-1-2-22-1-1-1-1-122-122-2-2-2-2-1-1-1-1-10000-211-2-21111-1211-1-1-1-111110000002222000000-2-2000000-1-1-1-10000110
χ402222-122222-12-12-12-1-2-22-1-1-1-1-122-122-2-2-2-2-1-1-1-1-10000-211-2-21111-1211-1-1-1-11111000000-2-2-2-20000002200000011110000-1-10
χ412222-12-2-222-12-12-12-122-2-1-1-11122-1-2-222221111-10000-211-2-211111-2-1-1-1-111-1-1-1-100000022-2-20000002-2000000-1-1110000-110
χ422222-12-2-222-12-12-12-122-2-1-1-11122-1-2-222221111-10000-211-2-211111-2-1-1-1-111-1-1-1-1000000-2-222000000-2200000011-1-100001-10
χ432222-12-2-222-12-12-12-1-2-2-2-1-1-11122-1-2-2-2-2-2-21111-100002-1-122-1-1-1-11-211-1-111111100000022-2-2000000-22000000-1-11100001-10
χ442222-12-2-222-12-12-12-1-2-2-2-1-1-11122-1-2-2-2-2-2-21111-100002-1-122-1-1-1-11-211-1-1111111000000-2-2220000002-200000011-1-10000-110
χ4522-2-2222-200-2-22-2-222000-2-222-20002-2000022-2-202-22-2000000000000000000000002-22-2−i2i2−i2i2−i2−i2i2i20000000000−i2i2−i2i200−i2i2000
χ4622-2-2222-200-2-22-2-222000-2-222-20002-2000022-2-202-22-2000000000000000000000002-22-2i2−i2i2−i2i2i2−i2−i20000000000i2−i2i2−i200i2−i2000
χ4722-2-2222-200-2-22-2-222000-2-222-20002-2000022-2-20-22-2200000000000000000000000-22-22−i2i2−i2i2i2i2−i2−i20000000000−i2i2−i2i200i2−i2000
χ4822-2-2222-200-2-22-2-222000-2-222-20002-2000022-2-20-22-2200000000000000000000000-22-22i2−i2i2−i2−i2−i2i2i20000000000i2−i2i2−i200−i2i2000
χ4922-2-222-2200-2-22-2-222000-2-22-22000-220000-2-22202-2-22000000000000000000000002-2-22−i2i2i2−i2−i2−i2i2i20000000000−i2i2i2−i200i2−i2000
χ5022-2-222-2200-2-22-2-222000-2-22-22000-220000-2-22202-2-22000000000000000000000002-2-22i2−i2−i2i2i2i2−i2−i20000000000i2−i2−i2i200−i2i2000
χ5122-2-222-2200-2-22-2-222000-2-22-22000-220000-2-2220-222-200000000000000000000000-222-2−i2i2i2−i2i2i2−i2−i20000000000−i2i2i2−i200−i2i2000
χ5222-2-222-2200-2-22-2-222000-2-22-22000-220000-2-2220-222-200000000000000000000000-222-2i2−i2−i2i2−i2−i2i2i20000000000i2−i2−i2i200i2−i2000
χ532-2-2222002-2-2-2-222-222i−2i02-2-2002-22002i−2i2i−2i0000-20000000000000002i−2i2-2002i−2i2i−2i00000000002i−2i2i−2i000000000000002-200000
χ542-2-2222002-2-2-2-222-222i−2i02-2-2002-22002i−2i2i−2i0000-20000000000000002i−2i2-2002i−2i2i−2i0000000000−2i2i−2i2i00000000000000-2200000
χ552-2-2222002-2-2-2-222-22−2i2i02-2-2002-2200−2i2i−2i2i0000-2000000000000000−2i2i2-200−2i2i−2i2i00000000002i−2i2i−2i00000000000000-2200000
χ562-2-2222002-2-2-2-222-22−2i2i02-2-2002-2200−2i2i−2i2i0000-2000000000000000−2i2i2-200−2i2i−2i2i0000000000−2i2i−2i2i000000000000002-200000
χ574444-2444-4-4-24-24-24-200-4-2-2-2-2-2-4-42440000-2-2-2-2200000000000002-4002222000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-24-24-2004-2-2-222-4-42-4-40000222220000000000000-240022-2-2000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-2-2-2-222221111-20000-42222-1-1-1-1-2-2221111-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2100-4111-2-2222-2-2−2i3−2i32i32i3111120000000−2i32i3i3i3−i3−i32200-1-1-1-1i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2100-4111-2-2222-2-22i32i3−2i3−2i31111200000002i3−2i3−i3−i3i3i32200-1-1-1-1−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2144-411122-2-2-222-2-2-2-2-1-1-1-1-20000-42222-1-1-1-122-2-211-1-1111100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-411122-2-2-2222222-1-1-1-1-200004-2-2-2-21111222211-1-1-1-1-1-100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-210041112222222−2i3−2i32i32i3-1-1-1-1200000002i3−2i3−i3−i3i3i3-2-200-1-111i3i3−i3−i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2100411122222222i32i3−2i3−2i3-1-1-1-120000000−2i32i3i3i3−i3−i3-2-200-1-111−i3−i3i3i300000000000000000000000000000000000
χ6744-4-44-24-400-4242-4-2-200022-24-4000-220000-2-22204-44-400000000000000000000000-22-2200000000000000000000000000000
χ6844-4-44-24-400-4242-4-2-200022-24-4000-220000-2-2220-44-44000000000000000000000002-22-200000000000000000000000000000
χ6944-4-44-2-4400-4242-4-2-200022-2-440002-2000022-2-204-4-4400000000000000000000000-222-200000000000000000000000000000
χ7044-4-44-2-4400-4242-4-2-200022-2-440002-2000022-2-20-444-4000000000000000000000002-2-2200000000000000000000000000000
χ7144-4-4-244-4002-4-2-424-200022-2-220004-40000-2-22200000000000000000000000000000000−2i22i2−2i22i200000000000000i2−i2i2−i20000000
χ7244-4-4-244-4002-4-2-424-200022-2-220004-40000-2-222000000000000000000000000000000002i2−2i22i2−2i200000000000000−i2i2−i2i20000000
χ7344-4-4-24-44002-4-2-424-200022-22-2000-44000022-2-200000000000000000000000000000000−2i22i22i2−2i200000000000000i2−i2−i2i20000000
χ7444-4-4-24-44002-4-2-424-200022-22-2000-44000022-2-2000000000000000000000000000000002i2−2i2−2i22i200000000000000−i2i2i2−i20000000
χ754-44-444000044-4-4-4-44000-44-400000000000000000000000000000000000000000000000000022−22−2222000000000000000000000
χ764-44-444000044-4-4-4-44000-44-4000000000000000000000000000000000000000000000000000−222222−22000000000000000000000
χ774-4-444400-44-4-4-444-440004-4-400-44-40000000000400000000000000000-4400000000000000000000000000000000000000000
χ784-4-444-2004-4-42-4-242-24i−4i0-22200-22400−2i2i−2i2i0000-40000000000000004i−4i-2200−2i2i−2i2i00000000000000000000000000000000000
χ794-4-444-2004-4-42-4-242-2−4i4i0-22200-224002i−2i2i−2i0000-4000000000000000−4i4i-22002i−2i2i−2i00000000000000000000000000000000000
χ804-4-444-200-44-42-4-242-2000-222002-2-40023−23−232300004000000000000000002-20023−23−232300000000000000000000000000000000000
χ814-4-444-200-44-42-4-242-2000-222002-2-400−232323−2300004000000000000000002-200−232323−2300000000000000000000000000000000000
χ824-4-44-24004-42-424-2-4-24i−4i0-222004-4-2004i−4i4i−4i00002000000000000000−2i2i-2200−2i2i−2i2i00000000000000000000000000000000000
χ834-4-44-24004-42-424-2-4-2−4i4i0-222004-4-200−4i4i−4i4i000020000000000000002i−2i-22002i−2i2i−2i00000000000000000000000000000000000
χ844-4-44-2400-442-424-2-4-2000-22200-4420000000000-200000−2i32i300−2i32i3−2i32i300002-200000000000000000000000000000000000000000
χ854-4-44-2400-442-424-2-4-2000-22200-4420000000000-2000002i3−2i3002i3−2i32i3−2i300002-200000000000000000000000000000000000000000
χ864-4-44-2-2004-4222-2-2214i−4i01-1-100-22-200−2i2i−2i2i3i−3i3i−3i20000000003-3-3300−2i2i1-13i−3ii−ii−i00000000000000000000000000000000000
χ874-4-44-2-2004-4222-2-2214i−4i01-1-100-22-200−2i2i−2i2i−3i3i−3i3i2000000000-333-300−2i2i1-1−3i3ii−ii−i00000000000000000000000000000000000
χ884-4-44-2-2004-4222-2-221−4i4i01-1-100-22-2002i−2i2i−2i3i−3i3i−3i2000000000-333-3002i−2i1-13i−3i−ii−ii00000000000000000000000000000000000
χ894-4-44-2-2004-4222-2-221−4i4i01-1-100-22-2002i−2i2i−2i−3i3i−3i3i20000000003-3-33002i−2i1-1−3i3i−ii−ii00000000000000000000000000000000000
χ904-4-44-2-200-44222-2-2210001-1-1002-220023−23−23233i−3i3i−3i-2000002i3−2i300−i3i3−i3i30000-11−3i3i−333−300000000000000000000000000000000000
χ914-4-44-2-200-44222-2-2210001-1-1002-220023−23−2323−3i3i−3i3i-200000−2i32i300i3−i3i3−i30000-113i−3i−333−300000000000000000000000000000000000
χ924-4-44-2-200-44222-2-2210001-1-1002-2200−232323−233i−3i3i−3i-200000−2i32i300i3−i3i3−i30000-11−3i3i3−3−3300000000000000000000000000000000000
χ934-4-44-2-200-44222-2-2210001-1-1002-2200−232323−23−3i3i−3i3i-2000002i3−2i300−i3i3−i3i30000-113i−3i3−3−3300000000000000000000000000000000000
χ9488-8-8-4-48-80044-444-42000-2-22-44000-44000022-2-20000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-880044-444-42000-2-224-40004-40000-2-2220000000000000000000000000000000000000000000000000000000000000
χ968-88-88-400008-4-84-84-40004-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-480000-484-84-8-40004-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-40000-4-444442000-22-2000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-40000-4-444442000-22-200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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