Finite Group Databasebeta

← Group #11870878

Character table — Group #11870878

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order12223344666666444422366688121212122424242444441212121226666661212242424242424444448888121212122424242466666224412121212121212242422488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-11111-1-1111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-111-1-111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-11111-1-111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111-1-111-1-1-11111
χ5111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-1111111111111-1-1-1-1-111-1-11-1-1-1-1-1-111-1-1111-1-1
χ6111111111111111111-1-11111111111111111-1-11111-1-1-1-1-1-1-111111111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-111
χ7111111111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-1-1-111-1-1-1-11-1-111
χ8111111111111111111-1-11111-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-111-1-1-11-111-1-1111111-111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-1111111111111111-1-111111-1-1-1-111-1-1-1-111111-1-11-1111-1-1-1-111-1-1-1-1-11-1
χ1011111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111111-11
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-111-1-1111111-111-1-1-1-1-11111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-11111111-1-11-1
χ1311111111111111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11
χ1411111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-11111-1
χ1511111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-1-1-111-1-11111111-1-111-1-11-11-1-111-1-1-1-111-1111-1
χ1611111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1111111-1-1-1-111111-1-11111-1-1-11111-1-111-1-11-1-1-11
χ17222222-2-2222222222200222200-2-2-2-20000-2-22222220000000-2-200000000-2000000-2-2220000000002200-20000000000-20000
χ18222222-2-2222222222200222200-2-2-2-20000-2-2-2-222220000000-2-2000000002000000-2-2-2-2000000000-2-2002000000000020000
χ19222222-2-2222222-2-2-2-200222200-2-2-2-200002222-2-2-2-20000000-2-200000000-20000002222000000000-2-200-2000000000020000
χ20222222-2-2222222-2-2-2-200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000200000022-2-2000000000220020000000000-20000
χ2122222-12222-1-1-12000022-1-1-1-122-122-1222200220000222-1-122-1-1-1-1-1-1-1-100222220000-1-10000-1-1-1-1-10020-1-1-10000-1-100000-10
χ2222222-12222-1-1-12000022-1-1-1-122-122-1222200-2-20000222-1-122-1-1-1-1-1-1-1-100-2-2-2-2-20000110000-1-1-1-1-100-201110000110000010
χ2322222-12222-1-1-12000022-1-1-1-1-2-2-122-1-2-2-2-200220000-222-1-1-2-2-1-111111100222-2-20000-1-100001-1-11100-20-1-1-10000110000010
χ2422222-12222-1-1-12000022-1-1-1-1-2-2-122-1-2-2-2-200-2-20000-222-1-1-2-2-1-111111100-2-2-22200001100001-1-11100201110000-1-100000-10
χ2522222-12222-1-1-120000-2-2-1-1-1-122-122-1222200220000-2-2-211-2-2-1-1-1-1-1-1-1-1002-2-2220000-1-100001111100-20-1110000-1-10000010
χ2622222-12222-1-1-120000-2-2-1-1-1-122-122-1222200-2-20000-2-2-211-2-2-1-1-1-1-1-1-1-100-222-2-200001100001111100201-1-100001100000-10
χ2722222-12222-1-1-120000-2-2-1-1-1-1-2-2-122-1-2-2-2-2002200002-2-21122-1-1111111002-2-2-2-20000-1-10000-111-1-10020-11100001100000-10
χ2822222-12222-1-1-120000-2-2-1-1-1-1-2-2-122-1-2-2-2-200-2-200002-2-21122-1-111111100-222220000110000-111-1-100-201-1-10000-1-10000010
χ292222-1222-1-1222-1222222-1-1-1-1222-1-12-1-1-1-12200-1-1-1-12-1-122-1-1-1-122-1-1-1-1220000022-1-100-1-1-1-12-1-1-1-10002000-1-1-1-1000000000
χ302222-1222-1-1222-1222222-1-1-1-1-2-22-1-1211112200-1-1-1-1-2-1-12211-1-1-2-211112200000-2-2-1-1001111-2-1-111000-2000-1-111000000000
χ312222-1222-1-1222-12222-2-2-1-1-1-1222-1-12-1-1-1-12200-1-1-1-1-211-2-211-1-122-1-1-1-1-2-20000022-1-100-1-1-1-1-21111000-20001111000000000
χ322222-1222-1-1222-12222-2-2-1-1-1-1-2-22-1-1211112200-1-1-1-1211-2-2-1-1-1-1-2-21111-2-200000-2-2-1-1001111211-1-1000200011-1-1000000000
χ332222-1222-1-1222-1-2-2-2-222-1-1-1-1222-1-12-1-1-1-1-2-20011112-1-122-1-1-1-122-1-1-1-1-2-200000-2-2110011112-1-1-1-1000-20001111000000000
χ342222-1222-1-1222-1-2-2-2-222-1-1-1-1-2-22-1-121111-2-2001111-2-1-12211-1-1-2-21111-2-200000221100-1-1-1-1-2-1-111000200011-1-1000000000
χ352222-1222-1-1222-1-2-2-2-2-2-2-1-1-1-1222-1-12-1-1-1-1-2-2001111-211-2-211-1-122-1-1-1-12200000-2-211001111-211110002000-1-1-1-1000000000
χ362222-1222-1-1222-1-2-2-2-2-2-2-1-1-1-1-2-22-1-121111-2-2001111211-2-2-1-1-1-1-2-211112200000221100-1-1-1-1211-1-1000-2000-1-111000000000
χ3722-2-2222-22-2-22-2-22i2i−2i−2i2-22-2-2200-22-2200002i−2i002i2i−2i−2i02-22-200-220000002i−2i00000002i−2i00000002-20000000002i−2i00000000000
χ3822-2-2222-22-2-22-2-22i2i−2i−2i-222-2-2200-22-2200002i−2i002i2i−2i−2i0-22-2200-22000000−2i2i00000002i−2i0000000-22000000000−2i2i00000000000
χ3922-2-2222-22-2-22-2-2−2i−2i2i2i2-22-2-2200-22-220000−2i2i00−2i−2i2i2i02-22-200-22000000−2i2i0000000−2i2i00000002-2000000000−2i2i00000000000
χ4022-2-2222-22-2-22-2-2−2i−2i2i2i-222-2-2200-22-220000−2i2i00−2i−2i2i2i0-22-2200-220000002i−2i0000000−2i2i0000000-220000000002i−2i00000000000
χ4122-2-222-222-2-22-2-22i2i−2i−2i002-2-22002-22-20000−2i2i002i2i−2i−2i00000002-20000000002i−2i0000−2i2i00000000000000002i−2i0000002-200000
χ4222-2-222-222-2-22-2-22i2i−2i−2i002-2-22002-22-20000−2i2i002i2i−2i−2i00000002-2000000000−2i2i0000−2i2i0000000000000000−2i2i000000-2200000
χ4322-2-222-222-2-22-2-2−2i−2i2i2i002-2-22002-22-200002i−2i00−2i−2i2i2i00000002-20000000002i−2i00002i−2i00000000000000002i−2i000000-2200000
χ4422-2-222-222-2-22-2-2−2i−2i2i2i002-2-22002-22-200002i−2i00−2i−2i2i2i00000002-2000000000−2i2i00002i−2i0000000000000000−2i2i0000002-200000
χ4522-2-2-122-2-11-22-212i2i−2i−2i2-2-111-100-2-112−i3−i3i3i32i−2i00−i−iii0-112-2−i3i31-100−i3−i3i3i32i−2i0000000−ii0033−3−30-11−i3i30000000−ii3−3000000000
χ4622-2-2-122-2-11-22-212i2i−2i−2i2-2-111-100-2-112i3i3−i3−i32i−2i00−i−iii0-112-2i3−i31-100i3i3−i3−i32i−2i0000000−ii00−3−3330-11i3−i30000000−ii−33000000000
χ4722-2-2-122-2-11-22-212i2i−2i−2i-22-111-100-2-112−i3−i3i3i32i−2i00−i−iii01-1-22i3−i31-100−i3−i3i3i3−2i2i0000000−ii0033−3−301-1i3−i30000000i−i−33000000000
χ4822-2-2-122-2-11-22-212i2i−2i−2i-22-111-100-2-112i3i3−i3−i32i−2i00−i−iii01-1-22−i3i31-100i3i3−i3−i3−2i2i0000000−ii00−3−33301-1−i3i30000000i−i3−3000000000
χ4922-2-2-122-2-11-22-21−2i−2i2i2i2-2-111-100-2-112−i3−i3i3i3−2i2i00ii−i−i0-112-2−i3i31-100−i3−i3i3i3−2i2i0000000i−i00−3−3330-11−i3i30000000i−i−33000000000
χ5022-2-2-122-2-11-22-21−2i−2i2i2i2-2-111-100-2-112i3i3−i3−i3−2i2i00ii−i−i0-112-2i3−i31-100i3i3−i3−i3−2i2i0000000i−i0033−3−30-11i3−i30000000i−i3−3000000000
χ5122-2-2-122-2-11-22-21−2i−2i2i2i-22-111-100-2-112−i3−i3i3i3−2i2i00ii−i−i01-1-22i3−i31-100−i3−i3i3i32i−2i0000000i−i00−3−33301-1i3−i30000000−ii3−3000000000
χ5222-2-2-122-2-11-22-21−2i−2i2i2i-22-111-100-2-112i3i3−i3−i3−2i2i00ii−i−i01-1-22−i3i31-100i3i3−i3−i32i−2i0000000i−i0033−3−301-1−i3i30000000−ii−33000000000
χ532-22-22200-222-2-2-22i−2i2i−2i0022-2-22−200002−22−2002i−2i2i−2i2i−2i0000000002−22−22−200000−i2i2−i2i2002i−2i−i2i2−i2i2000002-2000000000−i2i20002−200
χ542-22-22200-222-2-2-22i−2i2i−2i0022-2-22−200002−22−200−2i2i2i−2i2i−2i0000000002−22−22−200000i2−i2−i2i200−2i2i−i2i2−i2i200000-22000000000i2−i2000−2200
χ552-22-22200-222-2-2-22i−2i2i−2i0022-2-2−220000−22−22002i−2i2i−2i2i−2i000000000−22−22−2200000i2−i2i2−i2002i−2ii2−i2i2−i2000002-2000000000i2−i2000−2200
χ562-22-22200-222-2-2-22i−2i2i−2i0022-2-2−220000−22−2200−2i2i2i−2i2i−2i000000000−22−22−2200000−i2i2i2−i200−2i2ii2−i2i2−i200000-22000000000−i2i20002−200
χ572-22-22200-222-2-2-2−2i2i−2i2i0022-2-22−200002−22−2002i−2i−2i2i−2i2i0000000002−22−22−200000−i2i2i2−i2002i−2ii2−i2i2−i200000-22000000000−i2i2000−2200
χ582-22-22200-222-2-2-2−2i2i−2i2i0022-2-22−200002−22−200−2i2i−2i2i−2i2i0000000002−22−22−200000i2−i2i2−i200−2i2ii2−i2i2−i2000002-2000000000i2−i20002−200
χ592-22-22200-222-2-2-2−2i2i−2i2i0022-2-2−220000−22−22002i−2i−2i2i−2i2i000000000−22−22−2200000i2−i2−i2i2002i−2i−i2i2−i2i200000-22000000000i2−i20002−200
χ602-22-22200-222-2-2-2−2i2i−2i2i0022-2-2−220000−22−2200−2i2i−2i2i−2i2i000000000−22−22−2200000−i2i2−i2i200−2i2i−i2i2−i2i2000002-2000000000−i2i2000−2200
χ6144444-2-4-444-2-2-24000000-2-2-2-2002-4-4200000044000000000002200000000-400000000-2-200000000000002000000000000000
χ6244444-2-4-444-2-2-24000000-2-2-2-2002-4-42000000-4-4000000000002200000000400000000220000000000000-2000000000000000
χ634444-24-4-4-2-2444-2444400-2-2-2-200-422-40000-4-400-2-2-2-2000000022000000000000000220000000000000000000000000000000
χ644444-24-4-4-2-2444-2-4-4-4-400-2-2-2-200-422-4000044002222000000022000000000000000-2-20000000000000000000000000000000
χ654444-2-244-2-2-2-2-2-2000044111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-2111100000000000000000-2111100000000000000000000
χ664444-2-244-2-2-2-2-2-20000441111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-100000000000000000211-1-100000000000000000000
χ674444-2-244-2-2-2-2-2-20000-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-21111000000000000000002-1-1-1-100000000000000000000
χ684444-2-244-2-2-2-2-2-20000-4-41111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-100000000000000000-2-1-11100000000000000000000
χ6944-4-44-24-44-42-22-400004-4-222-20024-4-200000000000004-4-22002-2000000000000000000000000-220000000000000000000000
χ7044-4-44-24-44-42-22-40000-44-222-20024-4-20000000000000-442-2002-20000000000000000000000002-20000000000000000000000
χ7144-4-44-2-444-42-22-4000000-222-200-2-4420000000000000000000-220000000004i−4i0000000000000000000000−2i2i0000000000000
χ7244-4-44-2-444-42-22-4000000-222-200-2-4420000000000000000000-22000000000−4i4i00000000000000000000002i−2i0000000000000
χ7344-4-4-24-44-22-44-424i4i−4i−4i00-222-20042-2-40000−4i4i00−2i−2i2i2i0000000-220000000000000002i−2i0000000000000000000000000000000
χ7444-4-4-24-44-22-44-42−4i−4i4i4i00-222-20042-2-400004i−4i002i2i−2i−2i0000000-22000000000000000−2i2i0000000000000000000000000000000
χ7544-4-4-2-24-4-222-22200004-41-1-11002-22-2−2i3−2i32i32i3000000000-22-22−2i32i3-1100i3i3−i3−i30000000000000000001-1i3−i300000000000000000000
χ7644-4-4-2-24-4-222-22200004-41-1-11002-22-22i32i3−2i3−2i3000000000-22-222i3−2i3-1100−i3−i3i3i30000000000000000001-1−i3i300000000000000000000
χ7744-4-4-2-24-4-222-2220000-441-1-11002-22-2−2i3−2i32i32i30000000002-22-22i3−2i3-1100i3i3−i3−i3000000000000000000-11−i3i300000000000000000000
χ7844-4-4-2-24-4-222-2220000-441-1-11002-22-22i32i3−2i3−2i30000000002-22-2−2i32i3-1100−i3−i3i3i3000000000000000000-11i3−i300000000000000000000
χ794-44-44-200-44-222-4000000-2-22222−22000022−2222−22004i−4i0000000000000−22−22−2200000−2i22i20000−2i2i00000000000000000000i2−i20000000
χ804-44-44-200-44-222-4000000-2-22222−22000022−2222−2200−4i4i0000000000000−22−22−22000002i2−2i200002i−2i00000000000000000000−i2i20000000
χ814-44-44-200-44-222-4000000-2-222−22220000−2222−2222004i−4i00000000000002−22−22−2000002i2−2i20000−2i2i00000000000000000000−i2i20000000
χ824-44-44-200-44-222-4000000-2-222−22220000−2222−222200−4i4i00000000000002−22−22−200000−2i22i200002i−2i00000000000000000000i2−i20000000
χ834-44-4-24002-24-4-424i−4i4i−4i00-2-22222−220000−22−220000−2i2i−2i2i00000000022−22−22−220000000−2i22i20000i2−i2i2−i20000000000000000000000000
χ844-44-4-24002-24-4-424i−4i4i−4i00-2-222−222200002−22−20000−2i2i−2i2i000000000−22222−22−200000002i2−2i20000−i2i2−i2i20000000000000000000000000
χ854-44-4-24002-24-4-42−4i4i−4i4i00-2-22222−220000−22−2200002i−2i2i−2i00000000022−22−22−2200000002i2−2i20000−i2i2−i2i20000000000000000000000000
χ864-44-4-24002-24-4-42−4i4i−4i4i00-2-222−222200002−22−200002i−2i2i−2i000000000−22222−22−20000000−2i22i20000i2−i2i2−i20000000000000000000000000
χ874-4-444400-4-4-4-4444-4-44004-44-4000000000000004-4-44000000000000000000000000000000000000000000000000000000000
χ884-4-444400-4-4-4-444-444-4004-44-400000000000000-444-4000000000000000000000000000000000000000000000000000000000
χ894-4-44-240022-4-44-24-4-4400-22-22000000i6−i6−i6i60000-222-200000000000i6−i6−i6i60000000000000−i6i6i6−i60000000000000000000000000
χ904-4-44-240022-4-44-24-4-4400-22-22000000−i6i6i6−i60000-222-200000000000−i6i6i6−i60000000000000i6−i6−i6i60000000000000000000000000
χ914-4-44-240022-4-44-2-444-400-22-22000000i6−i6−i6i600002-2-2200000000000i6−i6−i6i60000000000000i6−i6−i6i60000000000000000000000000
χ924-4-44-240022-4-44-2-444-400-22-22000000−i6i6i6−i600002-2-2200000000000−i6i6i6−i60000000000000−i6i6i6−i60000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400000022220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-88-444-4440000002-2-2200-44-4400000000000000000002-2000000000000000000000000000000000000000000000000
χ958-88-8-4-4004-4-444400000022-2-242−420000−2222−222200000000000000000−22222−22−2000000000000000000000000000000000000000000
χ968-88-8-4-4004-4-444400000022-2-2−4242000022−2222−220000000000000000022−22−22−22000000000000000000000000000000000000000000
χ978-8-888-400-8-844-48000000-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4004444-4-40000002-22-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ998-8-88-4-4004444-4-40000002-22-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000

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