Finite Group Databasebeta

← Group #11870603

Character table — Group #11870603

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order1222334466666644442236668812121212242424244444121212124666612121212242424242424444448888121212122424242466121212444412121212121212242424488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111111111111111111-1-111-1-1-11111-1-1111111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-111-1-1-1-111111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-11111-1-111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1-111-1-1-111-1-1-11111
χ5111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-111-1-1
χ6111111111111111111-1-11111111111111111-1-11111-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-111-1-111
χ7111111111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111111-1-11-1-1-1-11-1-1-1-111
χ8111111111111111111-1-11111-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-1-1111-1-1-11111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111111111111-1-1111-1-1-1-111-1-1-1-111111-1-11-1-1-1-1-111111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-1-111-1-111111111-1-1-1-1-1-1111-1-1111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111111-1-1-1-1-111111-1-11-1
χ1311111111111111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-1-11
χ1411111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11-1-1111-1
χ1511111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1111111-1-1111-1-11-1-1-1111-1-1-1-1-111111-1
χ1611111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-11111-1-1-1-11111-1-111111-1-1-1-111-111111-1-1-1-1-11
χ17222222-2-2222222222200222200-2-2-2-20000-2-22222220000000-2-20000000000-20000-2-22200000000022000000-20000-2000000
χ18222222-2-2222222222200222200-2-2-2-20000-2-2-2-222220000000-2-2000000000020000-2-2-2-2000000000-2-2000000200002000000
χ19222222-2-2222222-2-2-2-200222200-2-2-2-200002222-2-2-2-20000000-2-20000000000-200002222000000000-2-2000000-200002000000
χ20222222-2-2222222-2-2-2-200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000002000022-2-20000000002200000020000-2000000
χ2122222-1222-1-12-12222222-1-1-1-1222-1-12-1-1-1-12200-1-1-1-1222-1-1-1-1-1-122-1-1-1-1002200022-1-100-1-1-1-1-1-12-1-10002-1-1-1-1000000000000
χ2222222-1222-1-12-12222222-1-1-1-1-2-22-1-1211112200-1-1-1-1-222-1-111-1-1-2-211110022000-2-2-1-1001111-1-1-211000-211-1-1000000000000
χ2322222-1222-1-12-122222-2-2-1-1-1-1222-1-12-1-1-1-12200-1-1-1-1-2-2-21111-1-122-1-1-1-100-2-200022-1-100-1-1-1-111-211000-21111000000000000
χ2422222-1222-1-12-122222-2-2-1-1-1-1-2-22-1-1211112200-1-1-1-12-2-211-1-1-1-1-2-2111100-2-2000-2-2-1-1001111112-1-10002-1-111000000000000
χ2522222-1222-1-12-12-2-2-2-222-1-1-1-1222-1-12-1-1-1-1-2-2001111222-1-1-1-1-1-122-1-1-1-100-2-2000-2-211001111-1-12-1-1000-21111000000000000
χ2622222-1222-1-12-12-2-2-2-222-1-1-1-1-2-22-1-121111-2-2001111-222-1-111-1-1-2-2111100-2-2000221100-1-1-1-1-1-1-2110002-1-111000000000000
χ2722222-1222-1-12-12-2-2-2-2-2-2-1-1-1-1222-1-12-1-1-1-1-2-2001111-2-2-21111-1-122-1-1-1-10022000-2-21100111111-2110002-1-1-1-1000000000000
χ2822222-1222-1-12-12-2-2-2-2-2-2-1-1-1-1-2-22-1-121111-2-20011112-2-211-1-1-1-1-2-211110022000221100-1-1-1-1112-1-1000-211-1-1000000000000
χ292222-1222-122-12-1000022-1-1-1-122-122-12222002200002-1-12222-1-1-1-1-1-1-1-122002220000-1-10000-1-1-1-1-100200000-1-1-1-1-100000-10
χ302222-1222-122-12-1000022-1-1-1-122-122-1222200-2-200002-1-12222-1-1-1-1-1-1-1-1-2-200-2-2-20000110000-1-1-1-1-100-200000111110000010
χ312222-1222-122-12-1000022-1-1-1-1-2-2-122-1-2-2-2-200220000-2-1-122-2-2-1-111111122002-2-20000-1-10000-1-111100-200000-1-1-1110000010
χ322222-1222-122-12-1000022-1-1-1-1-2-2-122-1-2-2-2-200-2-20000-2-1-122-2-2-1-1111111-2-200-2220000110000-1-111100200000111-1-100000-10
χ332222-1222-122-12-10000-2-2-1-1-1-122-122-1222200220000-211-2-2-2-2-1-1-1-1-1-1-1-1-2-2002220000-1-100001111100-200000-111-1-10000010
χ342222-1222-122-12-10000-2-2-1-1-1-122-122-1222200-2-20000-211-2-2-2-2-1-1-1-1-1-1-1-12200-2-2-2000011000011111002000001-1-11100000-10
χ352222-1222-122-12-10000-2-2-1-1-1-1-2-2-122-1-2-2-2-200220000211-2-222-1-1111111-2-2002-2-20000-1-1000011-1-1-100200000-1111100000-10
χ362222-1222-122-12-10000-2-2-1-1-1-1-2-2-122-1-2-2-2-200-2-20000211-2-222-1-11111112200-222000011000011-1-1-100-2000001-1-1-1-10000010
χ372-22-22200-2-2-222-222-2-20022-2-2−i2i20000−i2−i2i2i2002i−2i22-2-2000000000−i2i2−i2−i2i2i2000002−2−i2i2002i−2i−i2−i2i2i2000002i−2i0000000002−20002−200
χ382-22-22200-2-2-222-222-2-20022-2-2−i2i20000−i2−i2i2i200−2i2i22-2-2000000000−i2i2−i2−i2i2i200000−22−i2i200−2i2i−i2−i2i2i200000−2i2i000000000−22000−2200
χ392-22-22200-2-2-222-222-2-20022-2-2i2−i20000i2i2−i2−i2002i−2i22-2-2000000000i2−i2i2i2−i2−i200000−22i2−i2002i−2ii2i2−i2−i2000002i−2i000000000−22000−2200
χ402-22-22200-2-2-222-222-2-20022-2-2i2−i20000i2i2−i2−i200−2i2i22-2-2000000000i2−i2i2i2−i2−i2000002−2i2−i200−2i2ii2i2−i2−i200000−2i2i0000000002−20002−200
χ412-22-22200-2-2-222-2-2-2220022-2-2−i2i20000−i2−i2i2i2002i−2i-2-222000000000−i2i2−i2−i2i2i2000002−2i2−i2002i−2ii2i2−i2−i200000−2i2i0000000002−2000−2200
χ422-22-22200-2-2-222-2-2-2220022-2-2−i2i20000−i2−i2i2i200−2i2i-2-222000000000−i2i2−i2−i2i2i200000−22i2−i200−2i2ii2i2−i2−i2000002i−2i000000000−220002−200
χ432-22-22200-2-2-222-2-2-2220022-2-2i2−i20000i2i2−i2−i2002i−2i-2-222000000000i2−i2i2i2−i2−i200000−22−i2i2002i−2i−i2−i2i2i200000−2i2i000000000−220002−200
χ442-22-22200-2-2-222-2-2-2220022-2-2i2−i20000i2i2−i2−i200−2i2i-2-222000000000i2−i2i2i2−i2−i2000002−2−i2i200−2i2i−i2−i2i2i2000002i−2i0000000002−2000−2200
χ452-2-22222-22-22-2-2-22i−2i2i−2i002-22-200-22-2200002i−2i002i−2i2i−2i0000000-220000002i−2i00000002i−2i000000000000000000002i−2i0002-20000
χ462-2-22222-22-22-2-2-22i−2i2i−2i002-22-200-22-2200002i−2i002i−2i2i−2i0000000-22000000−2i2i00000002i−2i00000000000000000000−2i2i000-220000
χ472-2-22222-22-22-2-2-2−2i2i−2i2i002-22-200-22-220000−2i2i00−2i2i−2i2i0000000-220000002i−2i0000000−2i2i000000000000000000002i−2i000-220000
χ482-2-22222-22-22-2-2-2−2i2i−2i2i002-22-200-22-220000−2i2i00−2i2i−2i2i0000000-22000000−2i2i0000000−2i2i00000000000000000000−2i2i0002-20000
χ492-2-2222-222-22-2-2-22i−2i2i−2i2-22-22-2002-22-20000−2i2i002i−2i2i−2i02-22-2002-2000000002i−2i00000−2i2i0000002-20000000002i−2i000000000000
χ502-2-2222-222-22-2-2-22i−2i2i−2i-222-22-2002-22-20000−2i2i002i−2i2i−2i0-22-22002-200000000−2i2i00000−2i2i000000-22000000000−2i2i000000000000
χ512-2-2222-222-22-2-2-2−2i2i−2i2i2-22-22-2002-22-200002i−2i00−2i2i−2i2i02-22-2002-200000000−2i2i000002i−2i0000002-2000000000−2i2i000000000000
χ522-2-2222-222-22-2-2-2−2i2i−2i2i-222-22-2002-22-200002i−2i00−2i2i−2i2i0-22-22002-2000000002i−2i000002i−2i000000-220000000002i−2i000000000000
χ532-2-222-1-2221-1-21-22i−2i2i−2i2-2-11-110021-1-23−33−3−2i2i00−ii−ii02-2-113−3-11003−33−3002i−2i00000i−i00−i3i3−i3i3-1103−30000−i3i3−ii000000000000
χ542-2-222-1-2221-1-21-22i−2i2i−2i2-2-11-110021-1-2−33−33−2i2i00−ii−ii02-2-11−33-1100−33−33002i−2i00000i−i00i3−i3i3−i3-110−330000i3−i3−ii000000000000
χ552-2-222-1-2221-1-21-22i−2i2i−2i-22-11-110021-1-23−33−3−2i2i00−ii−ii0-221-1−33-11003−33−300−2i2i00000i−i00−i3i3−i3i31-10−330000i3−i3i−i000000000000
χ562-2-222-1-2221-1-21-22i−2i2i−2i-22-11-110021-1-2−33−33−2i2i00−ii−ii0-221-13−3-1100−33−3300−2i2i00000i−i00i3−i3i3−i31-103−30000−i3i3i−i000000000000
χ572-2-222-1-2221-1-21-2−2i2i−2i2i2-2-11-110021-1-23−33−32i−2i00i−ii−i02-2-113−3-11003−33−300−2i2i00000−ii00i3−i3i3−i3-1103−30000i3−i3i−i000000000000
χ582-2-222-1-2221-1-21-2−2i2i−2i2i2-2-11-110021-1-2−33−332i−2i00i−ii−i02-2-11−33-1100−33−3300−2i2i00000−ii00−i3i3−i3i3-110−330000−i3i3i−i000000000000
χ592-2-222-1-2221-1-21-2−2i2i−2i2i-22-11-110021-1-23−33−32i−2i00i−ii−i0-221-1−33-11003−33−3002i−2i00000−ii00i3−i3i3−i31-10−330000−i3i3−ii000000000000
χ602-2-222-1-2221-1-21-2−2i2i−2i2i-22-11-110021-1-2−33−332i−2i00i−ii−i0-221-13−3-1100−33−33002i−2i00000−ii00−i3i3−i3i31-103−30000i3−i3−ii000000000000
χ6144444-2-4-44-2-24-24444400-2-2-2-200-422-40000-4-400-2-2-2-2000000022000000000000000220000000000000000000000000000000
χ6244444-2-4-44-2-24-24-4-4-4-400-2-2-2-200-422-4000044002222000000022000000000000000-2-20000000000000000000000000000000
χ634444-24-4-4-244-24-2000000-2-2-2-2002-4-420000004400000000000220000000000-4000000-2-200000000000000000200000000000
χ644444-24-4-4-244-24-2000000-2-2-2-2002-4-42000000-4-40000000000022000000000040000002200000000000000000-200000000000
χ654444-2-244-2-2-2-2-2-2000044111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000011-21100000000000000000000
χ664444-2-244-2-2-2-2-2-20000441111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-100000000000000000112-1-100000000000000000000
χ674444-2-244-2-2-2-2-2-20000-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000000-1-12-1-100000000000000000000
χ684444-2-244-2-2-2-2-2-20000-4-41111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-100000000000000000-1-1-21100000000000000000000
χ6944-4-44400-44-4-4-444i−4i−4i4i004-4-44000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ7044-4-44400-44-4-4-44−4i4i4i−4i004-4-4400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ7144-4-44-200-4-22-4244i−4i−4i4i00-222-2000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ7244-4-44-200-4-22-4244i−4i−4i4i00-222-2000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ7344-4-44-200-4-22-424−4i4i4i−4i00-222-2000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ7444-4-44-200-4-22-424−4i4i4i−4i00-222-2000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ754-44-44-200-4224-2-444-4-400-2-222−2i22i20000i2i2−i2−i20000-2-222000000000−2i22i2i2i2−i2−i20000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ764-44-44-200-4224-2-444-4-400-2-2222i2−2i20000−i2−i2i2i20000-2-2220000000002i2−2i2−i2−i2i2i200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ774-44-44-200-4224-2-4-4-44400-2-222−2i22i20000i2i2−i2−i2000022-2-2000000000−2i22i2i2i2−i2−i200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ784-44-44-200-4224-2-4-4-44400-2-2222i2−2i20000−i2−i2i2i2000022-2-20000000002i2−2i2−i2−i2i2i20000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ794-44-4-24002-4-4-242000000-2-222−2i22i20000−2i2−2i22i22i2004i−4i0000000000000i2−i2i2i2−i2−i20000022−220000−2i2i00000000000000000000−220000000
χ804-44-4-24002-4-4-242000000-2-222−2i22i20000−2i2−2i22i22i200−4i4i0000000000000i2−i2i2i2−i2−i200000−222200002i−2i000000000000000000002−20000000
χ814-44-4-24002-4-4-242000000-2-2222i2−2i200002i22i2−2i2−2i2004i−4i0000000000000−i2i2−i2−i2i2i200000−22220000−2i2i000000000000000000002−20000000
χ824-44-4-24002-4-4-242000000-2-2222i2−2i200002i22i2−2i2−2i200−4i4i0000000000000−i2i2−i2−i2i2i20000022−2200002i−2i00000000000000000000−220000000
χ834-4-444-24-442-2-42-44i−4i4i−4i00-22-2200-4-22400004i−4i00−2i2i−2i2i00000002-2000000000000000−2i2i0000000000000000000000000000000
χ844-4-444-24-442-2-42-4−4i4i−4i4i00-22-2200-4-2240000−4i4i002i−2i2i−2i00000002-20000000000000002i−2i0000000000000000000000000000000
χ854-4-44-244-4-2-442-42000000-22-220024-4-200000000000000000002-20000004i−4i00000000000000000000000000000−2i2i000000000
χ864-4-44-244-4-2-442-42000000-22-220024-4-200000000000000000002-2000000−4i4i000000000000000000000000000002i−2i000000000
χ874-4-44-24-44-2-442-4200004-4-22-2200-2-4420000000000000-224-400-2200000000000000000000000-2200000000000000000000000
χ884-4-44-24-44-2-442-420000-44-22-2200-2-44200000000000002-2-4400-22000000000000000000000002-200000000000000000000000
χ894-4-44-2-2-44-22-222200004-41-11-100-22-2223−2323−23000000000-22-2223−231-100−33−33000000000000000001-10−3300000000000000000000
χ904-4-44-2-2-44-22-222200004-41-11-100-22-22−2323−2323000000000-22-22−23231-1003−33−3000000000000000001-103−300000000000000000000
χ914-4-44-2-2-44-22-22220000-441-11-100-22-2223−2323−230000000002-22-2−23231-100−33−3300000000000000000-1103−300000000000000000000
χ924-4-44-2-2-44-22-22220000-441-11-100-22-22−2323−23230000000002-22-223−231-1003−33−300000000000000000-110−3300000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400000022220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-480048-84-8-4000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4004-4444-40000002-2-220000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ9688-8-8-4-4004-4444-40000002-2-22000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000
χ978-88-8-4-400444-4-4400000022-2-2−4i24i200002i22i2−2i2−2i2000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ988-88-8-4-400444-4-4400000022-2-24i2−4i20000−2i2−2i22i22i200000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ998-8-88-4-48-8-44-44440000002-22-2004-44-40000000000000000000-22000000000000000000000000000000000000000000000000

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