Finite Group Databasebeta

← Group #11887227

Character table — Group #11887227

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order122233444466666623446661212121212121212121212121212121222444666612121212121212121212121212121212446688881212888824441212121212122424242422886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-1-1-1-11111-1-1-1-111-1
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
χ5111111111111111111-1-1111111111-1-1-1-11111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ6111111111111111111-1-1111111111-1-1-1-11111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-11-111-1-1-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-1111111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-1-11111111111-1-1-1-11
χ8111111111111111111-1-1111111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-111111111-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-11-111-1-111-1-1-1-111-111
χ10111111-1-111111111-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1111-1-111-1-1111111-1-11-111-1-1-1-11111-1-11-1-1
χ11111111-1-111111111-1111111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-1-111-1-1111111-1-111-11-1-11111-1-111-1-1-11-1
χ12111111-1-111111111-1111111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1-1-1-11-1-11-11-1-111-1-111-1-1111-11
χ13111111-1-111111111-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1111111-1-1-1-11111-111111-1-1-1-1-1-1-1-11-1-111-1-1-11111-1-111111-1-1
χ14111111-1-111111111-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1111111-1-1-1-11111-1111-1-111-1-11111-1-1111-1-1-111-1-111-1-1-1-1-111
χ15111111-1-111111111-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-111111-1-1-111-1-111111111-1-1-1111-1-111-1-1-1-1-1-11-11
χ16111111-1-111111111-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-11111-1-1-1-1-111-1-1111-1-1-1-1111111-11-1
χ1722222222-2-2222222-220022222-2-22200002222-2-222220-2-2-2-2000000-2-200000000-2-22200002200000000-2-2000000000000000
χ1822222222-2-2222222-220022222-2-22200002222-2-2-2-2-2-20-2-2-2-2000000-2-20000000022-2-20000-2-20000000022000000000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-2-20000-2-2-2-2-2-222-2-202222000000-2-2000000002-2220000-2-200000000-22000000000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-2-20000-2-2-2-2-2-2-2-22202222000000-2-200000000-22-2-2000022000000002-2000000000000000
χ2122222-12222-1-12-1222-122-1-1-1-1-122222222-1-1-1-1-1-1000022-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000002020000000-1-1-1-10000-1-10
χ2222222-12222-1-12-1222-122-1-1-1-1-122222222-1-1-1-1-1-1000022-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-20-2000000011110000110
χ2322222-12222-1-12-1222-1-2-2-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-10000-22-1-1-111-2-211-1-11111111100002222000000-20-20000000-1-1-1-10000110
χ2422222-12222-1-12-1222-1-2-2-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-10000-22-1-1-111-2-211-1-1111111110000-2-2-2-2000000202000000011110000-1-10
χ2522222-1-2-222-1-12-122-2-122-1-1-11122-2-222221111-1-10000-2-2111-1-1-2-211-1-1-1-1-1-11111000022-2-2000000-2020000000-1-11100001-10
χ2622222-1-2-222-1-12-122-2-122-1-1-11122-2-222221111-1-10000-2-2111-1-1-2-211-1-1-1-1-1-111110000-2-22200000020-2000000011-1-10000-110
χ2722222-1-2-222-1-12-122-2-1-2-2-1-1-11122-2-2-2-2-2-21111-1-100002-21111122-1-1-1-11111-1-1-1-1000022-2-200000020-20000000-1-1110000-110
χ2822222-1-2-222-1-12-122-2-1-2-2-1-1-11122-2-2-2-2-2-21111-1-100002-21111122-1-1-1-11111-1-1-1-10000-2-222000000-202000000011-1-100001-10
χ292222-12222222-12-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-10000-1-100000202-1-1-1-1-1-100000000000
χ302222-12222222-12-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-22-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-21100001100000-20-211111100000000000
χ312222-12222222-12-1-12-1-2-2-1-1-122-1-1-1-11111-1-1-1-1222222-2-12-1-1-2-211-2-2-1-11111111122-1-10000-1-100000-20-2-1-1111100000000000
χ322222-12222222-12-1-12-1-2-2-1-1-122-1-1-1-11111-1-1-1-122-2-2-2-2-2-12-1-1-2-211-2-2-1-111111111-2-2110000110000020211-1-1-1-100000000000
χ332222-1222-2-222-12-1-1-2-100-1-1-12211-1-1−i3−i3i3i3-1-1-1-1-2-2222201-21100−i3i30011−i3−i3i3i3−i3−i3i3i3-2-2-1-10000-1-10000000011−i3i3−i3i300000000000
χ342222-1222-2-222-12-1-1-2-100-1-1-12211-1-1−i3−i3i3i3-1-1-1-1-2-2-2-2-2-201-21100−i3i30011−i3−i3i3i3−i3−i3i3i3221100001100000000-1-1i3−i3i3−i300000000000
χ352222-1222-2-222-12-1-1-2-100-1-1-12211-1-1i3i3−i3−i3-1-1-1-1-2-2222201-21100i3−i30011i3i3−i3−i3i3i3−i3−i3-2-2-1-10000-1-10000000011i3−i3i3−i300000000000
χ362222-1222-2-222-12-1-1-2-100-1-1-12211-1-1i3i3−i3−i3-1-1-1-1-2-2-2-2-2-201-21100i3−i30011i3i3−i3−i3i3i3−i3−i3221100001100000000-1-1−i3i3−i3i300000000000
χ372222-12-2-22222-12-1-1-2-122-1-1-1-2-2-1-111-1-1-1-111112222-2-2-21-2112211-2-2-1-1-1-1-1-11111-22-1-10000110000020-2-11-1-11100000000000
χ382222-12-2-22222-12-1-1-2-122-1-1-1-2-2-1-111-1-1-1-1111122-2-222-21-2112211-2-2-1-1-1-1-1-111112-2110000-1-100000-2021-111-1-100000000000
χ392222-12-2-22222-12-1-1-2-1-2-2-1-1-1-2-2-1-111111111112222-2-221-211-2-2-1-122-1-11111-1-1-1-1-22-1-100001100000-202-1111-1-100000000000
χ402222-12-2-22222-12-1-1-2-1-2-2-1-1-1-2-2-1-1111111111122-2-22221-211-2-2-1-122-1-11111-1-1-1-12-2110000-1-10000020-21-1-1-11100000000000
χ412222-12-2-2-2-222-12-1-12-100-1-1-1-2-21111−i3−i3i3i31111-2-222-2-20-12-1-100i3−i30011−i3−i3i3i3i3i3−i3−i32-2-1-1000011000000001-1−i3i3i3−i300000000000
χ422222-12-2-2-2-222-12-1-12-100-1-1-1-2-21111−i3−i3i3i31111-2-2-2-2220-12-1-100i3−i30011−i3−i3i3i3i3i3−i3−i3-22110000-1-100000000-11i3−i3−i3i300000000000
χ432222-12-2-2-2-222-12-1-12-100-1-1-1-2-21111i3i3−i3−i31111-2-222-2-20-12-1-100−i3i30011i3i3−i3−i3−i3−i3i3i32-2-1-1000011000000001-1i3−i3−i3i300000000000
χ442222-12-2-2-2-222-12-1-12-100-1-1-1-2-21111i3i3−i3−i31111-2-2-2-2220-12-1-100−i3i30011i3i3−i3−i3−i3−i3i3i3-22110000-1-100000000-11−i3i3i3−i300000000000
χ4522-2-2222i−2i002-2-2-22-202002-2-22i−2i002i−2i00002i2i−2i−2i002-22i−2i000000000000000000000002-2−i2i22−22i−2i22−2−20000000000−i2i22−200−i2i2000
χ4622-2-2222i−2i002-2-2-22-202002-2-22i−2i002i−2i00002i2i−2i−2i002-22i−2i000000000000000000000002-2i2−i2−222i−2i−2−2220000000000i2−i2−2200i2−i2000
χ4722-2-2222i−2i002-2-2-22-202002-2-22i−2i002i−2i00002i2i−2i−2i00-22−2i2i00000000000000000000000-22−i2i22−2−2i2i−2−2220000000000−i2i22−200i2−i2000
χ4822-2-2222i−2i002-2-2-22-202002-2-22i−2i002i−2i00002i2i−2i−2i00-22−2i2i00000000000000000000000-22i2−i2−22−2i2i22−2−20000000000i2−i2−2200−i2i2000
χ4922-2-222−2i2i002-2-2-22-202002-2-2−2i2i00−2i2i0000−2i−2i2i2i002-2−2i2i000000000000000000000002-2−i2i2−22−2i2i−2−2220000000000−i2i2−2200−i2i2000
χ5022-2-222−2i2i002-2-2-22-202002-2-2−2i2i00−2i2i0000−2i−2i2i2i002-2−2i2i000000000000000000000002-2i2−i22−2−2i2i22−2−20000000000i2−i22−200i2−i2000
χ5122-2-222−2i2i002-2-2-22-202002-2-2−2i2i00−2i2i0000−2i−2i2i2i00-222i−2i00000000000000000000000-22−i2i2−222i−2i22−2−20000000000−i2i2−2200i2−i2000
χ5222-2-222−2i2i002-2-2-22-202002-2-2−2i2i00−2i2i0000−2i−2i2i2i00-222i−2i00000000000000000000000-22i2−i22−22i−2i−2−2220000000000i2−i22−200−i2i2000
χ532-2-2222002-2-22-2-2-22022i−2i-22-2002-2002i−2i2i−2i00002-20000000002i−2i00002-22i−2i2i−2i000000000000002i−2i2i−2i000000000000002-200000
χ542-2-2222002-2-22-2-2-22022i−2i-22-2002-2002i−2i2i−2i00002-20000000002i−2i00002-22i−2i2i−2i00000000000000−2i2i−2i2i00000000000000-2200000
χ552-2-2222002-2-22-2-2-2202−2i2i-22-2002-200−2i2i−2i2i00002-2000000000−2i2i00002-2−2i2i−2i2i000000000000002i−2i2i−2i00000000000000-2200000
χ562-2-2222002-2-22-2-2-2202−2i2i-22-2002-200−2i2i−2i2i00002-2000000000−2i2i00002-2−2i2i−2i2i00000000000000−2i2i−2i2i000000000000002-200000
χ5744444-244-4-4-2-24-244-4-200-2-2-2-2-2-4-4440000-2-2-2-22200000-4222000000220000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-2-24-2444-200-2-2-222-4-4-4-40000222222000004-2-2-2000000220000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-24144111-2-2-2-2-2-2-2-2-2-21111-2-200004-2-211-2-2-2-2-2-2111111111100000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-241-4-4111-2-2-2-2-2-222221111-2-20000-4-2-21122222211-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-4100111-2-222-2-2−2i3−2i32i32i31111220000022-1-100−2i32i300-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-4100111-2-222-2-22i32i3−2i3−2i31111220000022-1-1002i3−2i300-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2-414411122-2-222-2-2-2-2-1-1-1-1-2-20000-422-1-1-2-22222111111-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-2-41-4-411122-2-2222222-1-1-1-1-2-20000422-1-122-2-2-2-211-1-1-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-24100111222222−2i3−2i32i32i3-1-1-1-12200000-2-211002i3−2i300-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-241001112222222i32i3−2i3−2i3-1-1-1-12200000-2-21100−2i32i300-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-44-24i−4i00-22-424-40-200-222−2i2i004i−4i0000−2i−2i2i2i0000000000000000000000000000000−2i22i222−220000000000000000i2−i2−220000000
χ6844-4-44-24i−4i00-22-424-40-200-222−2i2i004i−4i0000−2i−2i2i2i00000000000000000000000000000002i2−2i2−22220000000000000000−i2i22−20000000
χ6944-4-44-2−4i4i00-22-424-40-200-2222i−2i00−4i4i00002i2i−2i−2i0000000000000000000000000000000−2i22i2−22220000000000000000i2−i22−20000000
χ7044-4-44-2−4i4i00-22-424-40-200-2222i−2i00−4i4i00002i2i−2i−2i00000000000000000000000000000002i2−2i222−220000000000000000−i2i2−220000000
χ7144-4-4-244i−4i004-42-4-220-200-2224i−4i00−2i2i0000−2i−2i2i2i004-44i−4i00000000000000000000000-220000−2i2i0000000000000000000000000
χ7244-4-4-244i−4i004-42-4-220-200-2224i−4i00−2i2i0000−2i−2i2i2i00-44−4i4i000000000000000000000002-200002i−2i0000000000000000000000000
χ7344-4-4-24−4i4i004-42-4-220-200-222−4i4i002i−2i00002i2i−2i−2i004-4−4i4i00000000000000000000000-2200002i−2i0000000000000000000000000
χ7444-4-4-24−4i4i004-42-4-220-200-222−4i4i002i−2i00002i2i−2i−2i00-444i−4i000000000000000000000002-20000−2i2i0000000000000000000000000
χ754-44-4440000-4-444-4-40400-4-44000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ764-44-4440000-4-444-4-40400-4-440000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ774-4-444400-44-44-4-4-440400-44-400-440000000000-44000000000000000-440000000000000000000000000000000000000000000
χ784-4-444-2004-42-2-42-440-24i−4i2-22004-4004i−4i4i−4i0000-22000000000−2i2i0000-22−2i2i−2i2i000000000000000000000000000000000000000
χ794-4-444-2004-42-2-42-440-2−4i4i2-22004-400−4i4i−4i4i0000-220000000002i−2i0000-222i−2i2i−2i000000000000000000000000000000000000000
χ804-4-444-200-442-2-42-440-2002-2200-4400000000002-2000000000000023−232-2000023−2323−2300000000000000000000000000000000000
χ814-4-444-200-442-2-42-440-2002-2200-4400000000002-20000000000000−23232-20000−2323−232300000000000000000000000000000000000
χ824-4-44-24004-4-442-42-20-24i−4i2-2200-2200−2i2i−2i2i00004-40000000004i−4i0000-22−2i2i−2i2i000000000000000000000000000000000000000
χ834-4-44-24004-4-442-42-20-2−4i4i2-2200-22002i−2i2i−2i00004-4000000000−4i4i0000-222i−2i2i−2i000000000000000000000000000000000000000
χ844-4-44-2400-44-442-42-20-2002-22002-20023−23−23230000-440000000000000002-223−23−2323000000000000000000000000000000000000000
χ854-4-44-2400-44-442-42-20-2002-22002-200−232323−230000-440000000000000002-2−232323−23000000000000000000000000000000000000000
χ864-4-44-2-2004-42-2222-2014i−4i-11-100-2200−2i2i−2i2i3-33-3-2200000003-3−2i2i00001-1i−ii−i3i−3i−3i3i00000000000000000000000000000000000
χ874-4-44-2-2004-42-2222-2014i−4i-11-100-2200−2i2i−2i2i-33-33-220000000-33−2i2i00001-1i−ii−i−3i3i3i−3i00000000000000000000000000000000000
χ884-4-44-2-2004-42-2222-201−4i4i-11-100-22002i−2i2i−2i3-33-3-2200000003-32i−2i00001-1−ii−ii−3i3i3i−3i00000000000000000000000000000000000
χ894-4-44-2-2004-42-2222-201−4i4i-11-100-22002i−2i2i−2i-33-33-220000000-332i−2i00001-1−ii−ii3i−3i−3i3i00000000000000000000000000000000000
χ904-4-44-2-200-442-2222-20100-11-1002-20023−23−23233-33-32-20000000-330000−2323-11−333−33−33−300000000000000000000000000000000000
χ914-4-44-2-200-442-2222-20100-11-1002-20023−23−2323-33-332-200000003-3000023−23-11−333−3−33−3300000000000000000000000000000000000
χ924-4-44-2-200-442-2222-20100-11-1002-200−232323−233-33-32-20000000-33000023−23-113−3−33−33−3300000000000000000000000000000000000
χ934-4-44-2-200-442-2222-20100-11-1002-200−232323−23-33-332-200000003-30000−2323-113−3−333−33−300000000000000000000000000000000000
χ9488-8-8-4-48i−8i00-4444-4402002-2-2−4i4i00−4i4i00002i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4−8i8i00-4444-4402002-2-24i−4i004i−4i0000−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000
χ968-88-88-40000448-4-8-80-40044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-480000-8-8-48440-40044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4000044-4-4440200-2-2200000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4000044-4-4440200-2-220000000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000000

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