Finite Group Databasebeta

← Group #11887381

Character table — Group #11887381

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222334444666666234466612121212121212121212121212121212224446666121212121212121212121212121212124466888812128888224466121212122424242422886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-111-1
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
χ5111111111111111111-1-1111111111-1-1-1-11111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1
χ6111111111111111111-1-1111111111-1-1-1-11111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-11-1-111-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-1111111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-111-1-111111111-1-1-1-11
χ8111111111111111111-1-1111111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1
χ9111111-1-111111111-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-111-111
χ10111111-1-111111111-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-111-1-11111-111-1-1-11-111-1-11111-1-11-1-1
χ11111111-1-111111111-1111111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-111-1-11111111-1-1111-11-1-111-1-111-1-1-11-1
χ12111111-1-111111111-1111111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-111-1-111-11-1-1-1-111-1-1111-11
χ13111111-1-111111111-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-1-111-1-1-1-11111-111111-1-1-1-1-1-1-1-111-1-1111-1-1-111-1-111111-1-1
χ14111111-1-111111111-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-1-111-1-1-1-11111-1111-1-111-1-111111-1-11111-1-1-1-1-111-1-1-1-1-111
χ15111111-1-111111111-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111-1-111-1-1-1-111111-1-1-111-1-1111111-111-1-1-1-111111-1-1-1-1-1-11-11
χ16111111-1-111111111-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111-1-111-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1111-1-1111111-11-1
χ1722222222-2-2222222-220022222-2-22200002222-2-222220-2-2-2-2000000-2-200000000-2-2220000220000000000-2-20000000000000
χ1822222222-2-2222222-220022222-2-22200002222-2-2-2-2-2-20-2-2-2-2000000-2-20000000022-2-20000-2-20000000000220000000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-2-20000-2-2-2-2-2-222-2-202222000000-2-2000000002-2220000-2-20000000000-220000000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-2-20000-2-2-2-2-2-2-2-22202222000000-2-200000000-22-2-200002200000000002-20000000000000
χ2122222-1222222-1-12-12-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-10000-1-100002020-1-1-1-1-1-100000000000
χ2222222-1222222-1-12-12-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2110000110000-20-2011111100000000000
χ2322222-1222222-1-12-12-1-2-2-1-1-122-1-1-1-11111-1-1-1-1222222-22-1-1-1-2-211-2-2-1-11111111122-1-10000-1-10000-20-2011-1-11100000000000
χ2422222-1222222-1-12-12-1-2-2-1-1-122-1-1-1-11111-1-1-1-122-2-2-2-2-22-1-1-1-2-211-2-2-1-111111111-2-21100001100002020-1-111-1-100000000000
χ2522222-122-2-222-1-12-1-2-100-1-1-12211-1-1−i3−i3i3i3-1-1-1-1-2-222220-211100−i3i30011−i3−i3i3i3−i3−i3i3i3-2-2-1-10000-1-100000000−i3i311−i3i300000000000
χ2622222-122-2-222-1-12-1-2-100-1-1-12211-1-1−i3−i3i3i3-1-1-1-1-2-2-2-2-2-20-211100−i3i30011−i3−i3i3i3−i3−i3i3i3221100001100000000i3−i3-1-1i3−i300000000000
χ2722222-122-2-222-1-12-1-2-100-1-1-12211-1-1i3i3−i3−i3-1-1-1-1-2-222220-211100i3−i30011i3i3−i3−i3i3i3−i3−i3-2-2-1-10000-1-100000000i3−i311i3−i300000000000
χ2822222-122-2-222-1-12-1-2-100-1-1-12211-1-1i3i3−i3−i3-1-1-1-1-2-2-2-2-2-20-211100i3−i30011i3i3−i3−i3i3i3−i3−i3221100001100000000−i3i3-1-1−i3i300000000000
χ2922222-1-2-22222-1-12-1-2-122-1-1-1-2-2-1-111-1-1-1-111112222-2-2-2-2111-2-21122-1-1-1-1-1-11111-22-1-10000110000-202011-11-1-100000000000
χ3022222-1-2-22222-1-12-1-2-122-1-1-1-2-2-1-111-1-1-1-1111122-2-222-2-2111-2-21122-1-1-1-1-1-111112-2110000-1-1000020-20-1-11-11100000000000
χ3122222-1-2-22222-1-12-1-2-1-2-2-1-1-1-2-2-1-111111111112222-2-22-211122-1-1-2-2-1-11111-1-1-1-1-22-1-1000011000020-20-1-1-111100000000000
χ3222222-1-2-22222-1-12-1-2-1-2-2-1-1-1-2-2-1-1111111111122-2-2222-211122-1-1-2-2-1-11111-1-1-1-12-2110000-1-10000-2020111-1-1-100000000000
χ3322222-1-2-2-2-222-1-12-12-100-1-1-1-2-21111−i3−i3i3i31111-2-222-2-202-1-1-100i3−i30011−i3−i3i3i3i3i3−i3−i32-2-1-100001100000000i3−i31-1−i3i300000000000
χ3422222-1-2-2-2-222-1-12-12-100-1-1-1-2-21111−i3−i3i3i31111-2-2-2-22202-1-1-100i3−i30011−i3−i3i3i3i3i3−i3−i3-22110000-1-100000000−i3i3-11i3−i300000000000
χ3522222-1-2-2-2-222-1-12-12-100-1-1-1-2-21111i3i3−i3−i31111-2-222-2-202-1-1-100−i3i30011i3i3−i3−i3−i3−i3i3i32-2-1-100001100000000−i3i31-1i3−i300000000000
χ3622222-1-2-2-2-222-1-12-12-100-1-1-1-2-21111i3i3−i3−i31111-2-2-2-22202-1-1-100−i3i30011i3i3−i3−i3−i3−i3i3i3-22110000-1-100000000i3−i3-11−i3i300000000000
χ372222-122222-1-122-122-122-1-1-1-1-122222222-1-1-1-1-1-100002-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000000202000000-1-1-1-10000-1-10
χ382222-122222-1-122-122-122-1-1-1-1-122222222-1-1-1-1-1-100002-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000-20-200000011110000110
χ392222-122222-1-122-122-1-2-2-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-10000-2-12-1-111-2-211-1-111111111000022220000000-20-2000000-1-1-1-10000110
χ402222-122222-1-122-122-1-2-2-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-10000-2-12-1-111-2-211-1-1111111110000-2-2-2-2000000020200000011110000-1-10
χ412222-12-2-222-1-122-12-2-122-1-1-11122-2-222221111-1-10000-21-21111-2-2-1-1-1-1-1-1-1-11111000022-2-20000000-202000000-1-11100001-10
χ422222-12-2-222-1-122-12-2-122-1-1-11122-2-222221111-1-10000-21-21111-2-2-1-1-1-1-1-1-1-111110000-2-222000000020-200000011-1-10000-110
χ432222-12-2-222-1-122-12-2-1-2-2-1-1-11122-2-2-2-2-2-21111-1-1000021-211-1-12211-1-11111-1-1-1-1000022-2-2000000020-2000000-1-1110000-110
χ442222-12-2-222-1-122-12-2-1-2-2-1-1-11122-2-2-2-2-2-21111-1-1000021-211-1-12211-1-11111-1-1-1-10000-2-2220000000-20200000011-1-100001-10
χ4522-2-2222i−2i002-22-2-2-202002-2-22i−2i002i−2i00002i2i−2i−2i002-22i−2i000000000000000000000002-22−2−i2i22i−2i−i2−i2i2i200000000002−2−i2i2002−2000
χ4622-2-2222i−2i002-22-2-2-202002-2-22i−2i002i−2i00002i2i−2i−2i002-22i−2i000000000000000000000002-2−22i2−i22i−2ii2i2−i2−i20000000000−22i2−i200−22000
χ4722-2-2222i−2i002-22-2-2-202002-2-22i−2i002i−2i00002i2i−2i−2i00-22−2i2i00000000000000000000000-222−2−i2i2−2i2ii2i2−i2−i200000000002−2−i2i200−22000
χ4822-2-2222i−2i002-22-2-2-202002-2-22i−2i002i−2i00002i2i−2i−2i00-22−2i2i00000000000000000000000-22−22i2−i2−2i2i−i2−i2i2i20000000000−22i2−i2002−2000
χ4922-2-222−2i2i002-22-2-2-202002-2-2−2i2i00−2i2i0000−2i−2i2i2i002-2−2i2i000000000000000000000002-22−2i2−i2−2i2ii2i2−i2−i200000000002−2i2−i2002−2000
χ5022-2-222−2i2i002-22-2-2-202002-2-2−2i2i00−2i2i0000−2i−2i2i2i002-2−2i2i000000000000000000000002-2−22−i2i2−2i2i−i2−i2i2i20000000000−22−i2i200−22000
χ5122-2-222−2i2i002-22-2-2-202002-2-2−2i2i00−2i2i0000−2i−2i2i2i00-222i−2i00000000000000000000000-222−2i2−i22i−2i−i2−i2i2i200000000002−2i2−i200−22000
χ5222-2-222−2i2i002-22-2-2-202002-2-2−2i2i00−2i2i0000−2i−2i2i2i00-222i−2i00000000000000000000000-22−22−i2i22i−2ii2i2−i2−i20000000000−22−i2i2002−2000
χ532-2-2222002-2-22-22-2-2022i−2i-22-2002-2002i−2i2i−2i00002-200000000000002i−2i2-22i−2i2i−2i000000000000002i−2i2i−2i000000000000002-200000
χ542-2-2222002-2-22-22-2-2022i−2i-22-2002-2002i−2i2i−2i00002-200000000000002i−2i2-22i−2i2i−2i00000000000000−2i2i−2i2i00000000000000-2200000
χ552-2-2222002-2-22-22-2-202−2i2i-22-2002-200−2i2i−2i2i00002-20000000000000−2i2i2-2−2i2i−2i2i000000000000002i−2i2i−2i00000000000000-2200000
χ562-2-2222002-2-22-22-2-202−2i2i-22-2002-200−2i2i−2i2i00002-20000000000000−2i2i2-2−2i2i−2i2i00000000000000−2i2i−2i2i000000000000002-200000
χ574444-2444-4-4-2-244-24-4-200-2-2-2-2-2-4-4440000-2-2-2-222000002-422000000220000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-244-244-200-2-2-222-4-4-4-4000022222200000-24-2-2000000220000000000000000000000000000000000000000000
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
χ634444-2-2-4-444-2-2-2-2-2-2-414411122-2-222-2-2-2-2-1-1-1-1-2-20000-422-1-12222-2-2111111-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-2-41-4-411122-2-2222222-1-1-1-1-2-20000422-1-1-2-2-2-22211-1-1-1-1111100000000000000000000000000000000000
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−4i004-4-22-420-200-2224i−4i00−2i2i0000−2i−2i2i2i004-44i−4i00000000000000000000000-220000−2i2i0000000000000000000000000
χ6844-4-44-24i−4i004-4-22-420-200-2224i−4i00−2i2i0000−2i−2i2i2i00-44−4i4i000000000000000000000002-200002i−2i0000000000000000000000000
χ6944-4-44-2−4i4i004-4-22-420-200-222−4i4i002i−2i00002i2i−2i−2i004-4−4i4i00000000000000000000000-2200002i−2i0000000000000000000000000
χ7044-4-44-2−4i4i004-4-22-420-200-222−4i4i002i−2i00002i2i−2i−2i00-444i−4i000000000000000000000002-20000−2i2i0000000000000000000000000
χ7144-4-4-244i−4i00-224-42-40-200-222−2i2i004i−4i0000−2i−2i2i2i000000000000000000000000000000022−22−2i22i20000000000000000−22i2−i20000000
χ7244-4-4-244i−4i00-224-42-40-200-222−2i2i004i−4i0000−2i−2i2i2i0000000000000000000000000000000−22222i2−2i200000000000000002−2−i2i20000000
χ7344-4-4-24−4i4i00-224-42-40-200-2222i−2i00−4i4i00002i2i−2i−2i000000000000000000000000000000022−222i2−2i20000000000000000−22−i2i20000000
χ7444-4-4-24−4i4i00-224-42-40-200-2222i−2i00−4i4i00002i2i−2i−2i0000000000000000000000000000000−2222−2i22i200000000000000002−2i2−i20000000
χ754-44-4440000-4-4-4-4440400-4-4400000000000000000000000000000000000000000000000000022−22−2222000000000000000000000
χ764-44-4440000-4-4-4-4440400-4-44000000000000000000000000000000000000000000000000000−222222−22000000000000000000000
χ774-4-444400-44-44-44-4-40400-44-400-440000000000-44000000000000000-440000000000000000000000000000000000000000000
χ784-4-444-2004-4-442-2-420-24i−4i2-2200-2200−2i2i−2i2i00004-400000000000004i−4i-22−2i2i−2i2i000000000000000000000000000000000000000
χ794-4-444-2004-4-442-2-420-2−4i4i2-2200-22002i−2i2i−2i00004-40000000000000−4i4i-222i−2i2i−2i000000000000000000000000000000000000000
χ804-4-444-200-44-442-2-420-2002-22002-20023−23−23230000-440000000000000002-223−23−2323000000000000000000000000000000000000000
χ814-4-444-200-44-442-2-420-2002-22002-200−232323−230000-440000000000000002-2−232323−23000000000000000000000000000000000000000
χ824-4-44-24004-42-2-442-40-24i−4i2-22004-4004i−4i4i−4i0000-220000000000000−2i2i-22−2i2i−2i2i000000000000000000000000000000000000000
χ834-4-44-24004-42-2-442-40-2−4i4i2-22004-400−4i4i−4i4i0000-2200000000000002i−2i-222i−2i2i−2i000000000000000000000000000000000000000
χ844-4-44-2400-442-2-442-40-2002-2200-4400000000002-200000000023−2300002-2000023−2323−2300000000000000000000000000000000000
χ854-4-44-2400-442-2-442-40-2002-2200-4400000000002-2000000000−232300002-20000−2323−232300000000000000000000000000000000000
χ864-4-44-2-2004-42-22-222014i−4i-11-100-2200−2i2i−2i2i3-33-3-2200000003-30000−2i2i1-1i−ii−i3i−3i−3i3i00000000000000000000000000000000000
χ874-4-44-2-2004-42-22-222014i−4i-11-100-2200−2i2i−2i2i-33-33-220000000-330000−2i2i1-1i−ii−i−3i3i3i−3i00000000000000000000000000000000000
χ884-4-44-2-2004-42-22-22201−4i4i-11-100-22002i−2i2i−2i3-33-3-2200000003-300002i−2i1-1−ii−ii−3i3i3i−3i00000000000000000000000000000000000
χ894-4-44-2-2004-42-22-22201−4i4i-11-100-22002i−2i2i−2i-33-33-220000000-3300002i−2i1-1−ii−ii3i−3i−3i3i00000000000000000000000000000000000
χ904-4-44-2-200-442-22-2220100-11-1002-20023−23−23233-33-32-20000000-33−23230000-11−333−33−33−300000000000000000000000000000000000
χ914-4-44-2-200-442-22-2220100-11-1002-20023−23−2323-33-332-200000003-323−230000-11−333−3−33−3300000000000000000000000000000000000
χ924-4-44-2-200-442-22-2220100-11-1002-200−232323−233-33-32-20000000-3323−230000-113−3−33−33−3300000000000000000000000000000000000
χ934-4-44-2-200-442-22-2220100-11-1002-200−232323−23-33-332-200000003-3−23230000-113−3−333−33−300000000000000000000000000000000000
χ9488-8-8-4-48i−8i00-44-444402002-2-2−4i4i00−4i4i00002i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4−8i8i00-44-444402002-2-24i−4i004i−4i0000−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000
χ968-88-88-40000-8-8448-40-40044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-48000044-8-8-480-40044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-400004444-4-40200-2-2200000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-400004444-4-40200-2-220000000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000000

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