Finite Group Databasebeta

← Group #11895644

Character table — Group #11895644

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order122233444466666634446661212121212121212121212121212121244442666666661212121212121212121212124488881212121288882444661212121224242424448812124
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
χ511111111111111111-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-1-1-11-1-111111-1-111-1-1-1
χ611111111111111111-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-11-1-11-1-1-1-111-1-1111
χ711111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-111-1111111-1-1-1-11
χ811111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-11111-1
χ9111111-1-111111111111-1111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1111-1-1-1-11111111-1-11111-1-1-111-1-111-1-11-1-1
χ10111111-1-111111111111-1111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-1-111-1-111-1-1-1-111-1-1111-1-1-1-1-111-1-111-111
χ11111111-1-111111111111-1111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1111-11
χ12111111-1-111111111111-1111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-11111-1-11111-111-1-1-1-1111-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1111111-111-1-1-1111-111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1-1111-1-1-11111111-1-1
χ15111111-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-111-1-1-1111-1-11111-11-1
χ16111111-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-11-1-1-11111-1-111111-1-1111-1-1-11-1-111-1-1-1-11-11
χ1722222222-2-2222222200-2222-2-2-2222200002222-22222000000000-2-200-2-2-2-20000-2-2000022220000000000-200-200000000000
χ1822222222-2-2222222200-2222-2-2-2222200002222-2-2-2-2-2000000000-2-200-2-2-2-20000220000-2-2-2-20000000000200200000000000
χ19222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-222-2-20000000002200-2-22200002-20000-2-2220000000000-200200000000000
χ20222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-2-2-2220000000002200-2-2220000-22000022-2-20000000000200-200000000000
χ2122222-1222222-1-12-1-1222-1-1-12-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1220000-1-1-1-100002020-1-1-1-1-1-100000000000
χ2222222-1222222-1-12-1-1222-1-1-12-1-122-1-1-1-1-1-1-1-1-1-12-2-2-2-2222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2000011110000-20-2011111100000000000
χ2322222-1222222-1-12-1-1-2-22-1-1-12-1-122-1-11111-1-1-1-122222-2-2-21111112-1-2-2-1-1-1-11111220000-1-1-1-10000-20-2011-111-100000000000
χ2422222-1222222-1-12-1-1-2-22-1-1-12-1-122-1-11111-1-1-1-12-2-2-2-2-2-2-21111112-1-2-2-1-1-1-11111-2-20000111100002020-1-11-1-1100000000000
χ2522222-122-2-222-1-12-1-100-2-1-1-1-21122-1-1−i3−i3i3i3-1-1-1-1-22222000−i3i3−i3−i3i3i3-21001111−i3−i3i3i3-2-20000-1-1-1-100000000−i3i31−i3i3100000000000
χ2622222-122-2-222-1-12-1-100-2-1-1-1-21122-1-1−i3−i3i3i3-1-1-1-1-2-2-2-2-2000−i3i3−i3−i3i3i3-21001111−i3−i3i3i3220000111100000000i3−i3-1i3−i3-100000000000
χ2722222-122-2-222-1-12-1-100-2-1-1-1-21122-1-1i3i3−i3−i3-1-1-1-1-22222000i3−i3i3i3−i3−i3-21001111i3i3−i3−i3-2-20000-1-1-1-100000000i3−i31i3−i3100000000000
χ2822222-122-2-222-1-12-1-100-2-1-1-1-21122-1-1i3i3−i3−i3-1-1-1-1-2-2-2-2-2000i3−i3i3i3−i3−i3-21001111i3i3−i3−i3220000111100000000−i3i3-1−i3i3-100000000000
χ2922222-1-2-22222-1-12-1-122-2-1-1-12-1-1-2-211-1-1-1-11111222-2-2-2-2-2111111-2122-1-111-1-1-1-1-22000011-1-1000020-20-1-1-111100000000000
χ3022222-1-2-22222-1-12-1-122-2-1-1-12-1-1-2-211-1-1-1-111112-2-222-2-2-2111111-2122-1-111-1-1-1-12-20000-1-1110000-2020111-1-1-100000000000
χ3122222-1-2-22222-1-12-1-1-2-2-2-1-1-12-1-1-2-21111111111222-2-2222-1-1-1-1-1-1-21-2-2-1-1111111-22000011-1-10000-202011-1-1-1100000000000
χ3222222-1-2-22222-1-12-1-1-2-2-2-1-1-12-1-1-2-211111111112-2-222222-1-1-1-1-1-1-21-2-2-1-11111112-20000-1-111000020-20-1-1111-100000000000
χ3322222-1-2-2-2-222-1-12-1-1002-1-1-1-211-2-211−i3−i3i3i31111-222-2-2000i3−i3i3i3−i3−i32-10011-1-1−i3−i3i3i32-2000011-1-100000000−i3i31i3−i3-100000000000
χ3422222-1-2-2-2-222-1-12-1-1002-1-1-1-211-2-211−i3−i3i3i31111-2-2-222000i3−i3i3i3−i3−i32-10011-1-1−i3−i3i3i3-220000-1-11100000000i3−i3-1−i3i3100000000000
χ3522222-1-2-2-2-222-1-12-1-1002-1-1-1-211-2-211i3i3−i3−i31111-222-2-2000−i3i3−i3−i3i3i32-10011-1-1i3i3−i3−i32-2000011-1-100000000i3−i31−i3i3-100000000000
χ3622222-1-2-2-2-222-1-12-1-1002-1-1-1-211-2-211i3i3−i3−i31111-2-2-222000−i3i3−i3−i3i3i32-10011-1-1i3i3−i3−i3-220000-1-11100000000−i3i3-1i3−i3100000000000
χ372222-122222-1-122-12-1222-1-1-1-122-1-1222222-1-1-1-1-100002-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1002222000000000202000000-1-1-1-10000-1-10
χ382222-122222-1-122-12-1222-1-1-1-122-1-1222222-1-1-1-1-100002-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-100-2-2-2-2000000000-20-200000011110000110
χ392222-122222-1-122-12-1-2-22-1-1-1-122-1-122-2-2-2-2-1-1-1-1-10000-211-2-21111-1211-1-1-1-11111002222000000000-20-2000000-1-1-1-10000110
χ402222-122222-1-122-12-1-2-22-1-1-1-122-1-122-2-2-2-2-1-1-1-1-10000-211-2-21111-1211-1-1-1-1111100-2-2-2-200000000020200000011110000-1-10
χ412222-12-2-222-1-122-12-122-2-1-1-1-12211-2-222221111-10000-211-2-211111-2-1-1-1-111-1-1-1-10022-2-2000000000-202000000-1-1110000-110
χ422222-12-2-222-1-122-12-122-2-1-1-1-12211-2-222221111-10000-211-2-211111-2-1-1-1-111-1-1-1-100-2-22200000000020-200000011-1-100001-10
χ432222-12-2-222-1-122-12-1-2-2-2-1-1-1-12211-2-2-2-2-2-21111-100002-1-122-1-1-1-11-211-1-11111110022-2-200000000020-2000000-1-11100001-10
χ442222-12-2-222-1-122-12-1-2-2-2-1-1-1-12211-2-2-2-2-2-21111-100002-1-122-1-1-1-11-211-1-111111100-2-222000000000-20200000011-1-10000-110
χ452-22-22200-222-22-2-2-222i−2i02-2-2-22-200002i−2i2i−2i000020000000000000002i−2i2-2002i−2i2i−2i00000000002i2i−2i−2i000000000000002-200000
χ462-22-22200-222-22-2-2-222i−2i02-2-2-22-200002i−2i2i−2i000020000000000000002i−2i2-2002i−2i2i−2i0000000000−2i−2i2i2i00000000000000-2200000
χ472-22-22200-222-22-2-2-22−2i2i02-2-2-22-20000−2i2i−2i2i00002000000000000000−2i2i2-200−2i2i−2i2i00000000002i2i−2i−2i00000000000000-2200000
χ482-22-22200-222-22-2-2-22−2i2i02-2-2-22-20000−2i2i−2i2i00002000000000000000−2i2i2-200−2i2i−2i2i0000000000−2i−2i2i2i000000000000002-200000
χ492-2-22222i−2i00-22-22-2-22000-22-20002i−2i2i−2i00002i2i−2i−2i02i−2i2-200000000000000000000000−i2i22−22-22i−2i2−22−20000000000−i2i22−200−i2i2000
χ502-2-22222i−2i00-22-22-2-22000-22-20002i−2i2i−2i00002i2i−2i−2i02i−2i2-200000000000000000000000i2−i2−222-22i−2i−22−220000000000i2−i2−2200i2−i2000
χ512-2-22222i−2i00-22-22-2-22000-22-20002i−2i2i−2i00002i2i−2i−2i0−2i2i-2200000000000000000000000−i2i22−2-22−2i2i−22−220000000000−i2i22−200i2−i2000
χ522-2-22222i−2i00-22-22-2-22000-22-20002i−2i2i−2i00002i2i−2i−2i0−2i2i-2200000000000000000000000i2−i2−22-22−2i2i2−22−20000000000i2−i2−2200−i2i2000
χ532-2-2222−2i2i00-22-22-2-22000-22-2000−2i2i−2i2i0000−2i−2i2i2i02i−2i-2200000000000000000000000−i2i2−22-222i−2i2−22−20000000000−i2i2−2200i2−i2000
χ542-2-2222−2i2i00-22-22-2-22000-22-2000−2i2i−2i2i0000−2i−2i2i2i02i−2i-2200000000000000000000000i2−i22−2-222i−2i−22−220000000000i2−i22−200−i2i2000
χ552-2-2222−2i2i00-22-22-2-22000-22-2000−2i2i−2i2i0000−2i−2i2i2i0−2i2i2-200000000000000000000000−i2i2−222-2−2i2i−22−220000000000−i2i2−2200−i2i2000
χ562-2-2222−2i2i00-22-22-2-22000-22-2000−2i2i−2i2i0000−2i−2i2i2i0−2i2i2-200000000000000000000000i2−i22−22-2−2i2i2−22−20000000000i2−i22−200i2−i2000
χ574444-2444-4-4-2-244-24-200-4-2-2-22-4-4-2-2440000-2-2-2-2200000000000002-4002222000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-244-24-2004-2-2-22-4-422-4-40000222220000000000000-240022-2-2000000000000000000000000000000000000000
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
χ614444-2-244-4-4-2-2-2-2-2-2100-4111222-2-2-2-2−2i3−2i32i32i3111120000000−2i32i3i3i3−i3−i32200-1-1-1-1i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2100-4111222-2-2-2-22i32i3−2i3−2i31111200000002i3−2i3−i3−i3i3i32200-1-1-1-1−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2144-4111-2-2-22222-2-2-2-2-1-1-1-1-20000-42222-1-1-1-122-2-211-1-1111100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-4111-2-2-222222222-1-1-1-1-200004-2-2-2-21111222211-1-1-1-1-1-100000000000000000000000000000000000
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
χ6744-4-4440000-4-4-4-4444000-4-44000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ6844-4-4440000-4-4-4-4444000-4-440000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ694-44-444004-44-44-4-4-440004-4-44-44000000000000-400000000000000000-4400000000000000000000000000000000000000000
χ704-44-44-2004-44-4-22-42-2000-22242-2000023−23−23230000-4000000000000000002-20023−23−232300000000000000000000000000000000000
χ714-44-44-2004-44-4-22-42-2000-22242-20000−232323−230000-4000000000000000002-200−232323−2300000000000000000000000000000000000
χ724-44-44-200-444-4-22-42-24i−4i0-222-4-220000−2i2i−2i2i000040000000000000004i−4i-2200−2i2i−2i2i00000000000000000000000000000000000
χ734-44-44-200-444-4-22-42-2−4i4i0-222-4-2200002i−2i2i−2i00004000000000000000−4i4i-22002i−2i2i−2i00000000000000000000000000000000000
χ744-44-4-24004-4-224-42-4-2000-222-2-44000000000000200000−2i32i300−2i32i3−2i32i300002-200000000000000000000000000000000000000000
χ754-44-4-24004-4-224-42-4-2000-222-2-440000000000002000002i3−2i3002i3−2i32i3−2i300002-200000000000000000000000000000000000000000
χ764-44-4-2400-44-224-42-4-24i−4i0-22224-400004i−4i4i−4i0000-2000000000000000−2i2i-2200−2i2i−2i2i00000000000000000000000000000000000
χ774-44-4-2400-44-224-42-4-2−4i4i0-22224-40000−4i4i−4i4i0000-20000000000000002i−2i-22002i−2i2i−2i00000000000000000000000000000000000
χ784-44-4-2-2004-4-22-222210001-1-1-22-2000023−23−23233i−3i3i−3i200000−2i32i300i3−i3i3−i30000-113i−3i−333−300000000000000000000000000000000000
χ794-44-4-2-2004-4-22-222210001-1-1-22-2000023−23−2323−3i3i−3i3i2000002i3−2i300−i3i3−i3i30000-11−3i3i−333−300000000000000000000000000000000000
χ804-44-4-2-2004-4-22-222210001-1-1-22-20000−232323−233i−3i3i−3i2000002i3−2i300−i3i3−i3i30000-113i−3i3−3−3300000000000000000000000000000000000
χ814-44-4-2-2004-4-22-222210001-1-1-22-20000−232323−23−3i3i−3i3i200000−2i32i300i3−i3i3−i30000-11−3i3i3−3−3300000000000000000000000000000000000
χ824-44-4-2-200-44-22-222214i−4i01-1-12-220000−2i2i−2i2i3i−3i3i−3i-2000000000-333-300−2i2i1-1−3i3ii−ii−i00000000000000000000000000000000000
χ834-44-4-2-200-44-22-222214i−4i01-1-12-220000−2i2i−2i2i−3i3i−3i3i-20000000003-3-3300−2i2i1-13i−3ii−ii−i00000000000000000000000000000000000
χ844-44-4-2-200-44-22-22221−4i4i01-1-12-2200002i−2i2i−2i3i−3i3i−3i-20000000003-3-33002i−2i1-1−3i3i−ii−ii00000000000000000000000000000000000
χ854-44-4-2-200-44-22-22221−4i4i01-1-12-2200002i−2i2i−2i−3i3i−3i3i-2000000000-333-3002i−2i1-13i−3i−ii−ii00000000000000000000000000000000000
χ864-4-444-24i−4i00-442-2-42-20002-220004i−4i−2i2i0000−2i−2i2i2i04i−4i4-4000000000000000000000000000-22−2i2i0000000000000000000000000
χ874-4-444-24i−4i00-442-2-42-20002-220004i−4i−2i2i0000−2i−2i2i2i0−4i4i-440000000000000000000000000002-22i−2i0000000000000000000000000
χ884-4-444-2−4i4i00-442-2-42-20002-22000−4i4i2i−2i00002i2i−2i−2i04i−4i-440000000000000000000000000002-2−2i2i0000000000000000000000000
χ894-4-444-2−4i4i00-442-2-42-20002-22000−4i4i2i−2i00002i2i−2i−2i0−4i4i4-4000000000000000000000000000-222i−2i0000000000000000000000000
χ904-4-44-244i−4i002-2-442-4-20002-22000−2i2i4i−4i0000−2i−2i2i2i0000000000000000000000000000−2i22i222−22000000000000000000i2−i2−220000000
χ914-4-44-244i−4i002-2-442-4-20002-22000−2i2i4i−4i0000−2i−2i2i2i00000000000000000000000000002i2−2i2−2222000000000000000000−i2i22−20000000
χ924-4-44-24−4i4i002-2-442-4-20002-220002i−2i−4i4i00002i2i−2i−2i0000000000000000000000000000−2i22i2−2222000000000000000000i2−i22−20000000
χ934-4-44-24−4i4i002-2-442-4-20002-220002i−2i−4i4i00002i2i−2i−2i00000000000000000000000000002i2−2i222−22000000000000000000−i2i2−220000000
χ9488-8-88-40000-8-8448-4-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-48000044-8-8-48-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-400004444-4-42000-2-22000000000006-6-660000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-400004444-4-42000-2-2200000000000-666-60000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-48i−8i004-44-4442000-22-2000−4i4i−4i4i00002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4−8i8i004-44-4442000-22-20004i−4i4i−4i0000−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000

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