Finite Group Databasebeta

← Group #11870608

Character table — Group #11870608

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order1222334466666644442236668812121212242424244444121212124666612121212242424242424244448888121212122424242466121212442466612121212242444488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111111111111-1-1-11111-1-111-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-111-1-11-1-11111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-1-1-1111111-11111-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-111-1-111-1-1-11111
χ5111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-1-111-1-11-1-1-1-1-1-1111-1-111-1-1
χ6111111111111111111-1-111111111111111-1-1111111-1-1-1-1-1-1-111111111-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-111-1-111
χ7111111111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-1-1-111
χ8111111111111111111-1-11111-1-11111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11-1-111-1-11111-11111-1-1
χ911111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-111-1-111-1-1-1-111111-1-1-111-1-1-1-11111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-1-11-1111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11111-111-1-1-1-111111-1-11-1
χ1311111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-111-1-1-11
χ1411111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-11-1-1111-1
χ1511111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-1-11111-1-1-1-1111111-1-1111-1-1-111-1-111-1-1-1-1-111111-1
χ1611111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111-1-1-1-1-11111111-1-1-1-1-11
χ17222222-2-2222222222200222200-2-2-2-2000022-2-222220000000-2-2000000-200000000-2-2220000000002200-200000000-2000000
χ18222222-2-2222222222200222200-2-2-2-20000-2-2-2-222220000000-2-2000000200000000-2-2-2-2000000000-2-2002000000002000000
χ19222222-2-2222222-2-2-2-200222200-2-2-2-200002222-2-2-2-20000000-2-2000000-2000000002222000000000-2-200-2000000002000000
χ20222222-2-2222222-2-2-2-200222200-2-2-2-20000-2-222-2-2-2-20000000-2-200000020000000022-2-20000000002200200000000-2000000
χ2122222-1222-12-1-12222222-1-1-1-122-12-12-1-1-1-10022-1-1-1-1222-1-1-1-1-1-122-1-1-1-1000222200-1-100-1-1-1-1-1-12-1-100200-1-1-1-100000000000
χ2222222-1222-12-1-12222222-1-1-1-1-2-2-12-1211110022-1-1-1-1-222-1-111-1-1-2-2111100022-2-200-1-1001111-1-1-21100-20011-1-100000000000
χ2322222-1222-12-1-122222-2-2-1-1-1-122-12-12-1-1-1-10022-1-1-1-1-2-2-21111-1-122-1-1-1-1000-2-22200-1-100-1-1-1-111-21100-200111100000000000
χ2422222-1222-12-1-122222-2-2-1-1-1-1-2-2-12-1211110022-1-1-1-12-2-211-1-1-1-1-2-21111000-2-2-2-200-1-1001111112-1-100200-1-11100000000000
χ2522222-1222-12-1-12-2-2-2-222-1-1-1-122-12-12-1-1-1-100-2-21111222-1-1-1-1-1-122-1-1-1-1000-2-2-2-20011001111-1-12-1-100-200111100000000000
χ2622222-1222-12-1-12-2-2-2-222-1-1-1-1-2-2-12-12111100-2-21111-222-1-111-1-1-2-21111000-2-222001100-1-1-1-1-1-1-21100200-1-11100000000000
χ2722222-1222-12-1-12-2-2-2-2-2-2-1-1-1-122-12-12-1-1-1-100-2-21111-2-2-21111-1-122-1-1-1-100022-2-2001100111111-21100200-1-1-1-100000000000
χ2822222-1222-12-1-12-2-2-2-2-2-2-1-1-1-1-2-2-12-12111100-2-211112-2-211-1-1-1-1-2-211110002222001100-1-1-1-1112-1-100-20011-1-100000000000
χ292222-1222-12-122-1000022-1-1-1-1222-12-12222220000002-1-12222-1-1-1-1-1-1-1-122200002200-1-10000-1-1-1-1-10002-10000-1-1-1-100000-10
χ302222-1222-12-122-1000022-1-1-1-1222-12-12222-2-20000002-1-12222-1-1-1-1-1-1-1-1-2-2-20000-2-200110000-1-1-1-1-1000-21000011110000010
χ312222-1222-12-122-1000022-1-1-1-1-2-22-12-1-2-2-2-222000000-2-1-122-2-2-1-11111112220000-2-200-1-10000-1-1111000-2-10000-1-1110000010
χ322222-1222-12-122-1000022-1-1-1-1-2-22-12-1-2-2-2-2-2-2000000-2-1-122-2-2-1-1111111-2-2-200002200110000-1-111100021000011-1-100000-10
χ332222-1222-12-122-10000-2-2-1-1-1-1222-12-1222222000000-211-2-2-2-2-1-1-1-1-1-1-1-12-2-200002200-1-1000011111000-2-1000011-1-10000010
χ342222-1222-12-122-10000-2-2-1-1-1-1222-12-12222-2-2000000-211-2-2-2-2-1-1-1-1-1-1-1-1-2220000-2-20011000011111000210000-1-11100000-10
χ352222-1222-12-122-10000-2-2-1-1-1-1-2-22-12-1-2-2-2-222000000211-2-222-1-11111112-2-20000-2-200-1-1000011-1-1-10002-10000111100000-10
χ362222-1222-12-122-10000-2-2-1-1-1-1-2-22-12-1-2-2-2-2-2-2000000211-2-222-1-1111111-2220000220011000011-1-1-1000-210000-1-1-1-10000010
χ3722-2-2222-2-22-2-2-222i2i−2i−2i2-22-22-200-2-2220000002i−2i2i2i−2i−2i02-22-2002-20000000002i−2i00002i−2i0000002-200000000002i−2i00000000000
χ3822-2-2222-2-22-2-2-222i2i−2i−2i-222-22-200-2-2220000002i−2i2i2i−2i−2i0-22-22002-2000000000−2i2i00002i−2i000000-220000000000−2i2i00000000000
χ3922-2-2222-2-22-2-2-22−2i−2i2i2i2-22-22-200-2-222000000−2i2i−2i−2i2i2i02-22-2002-2000000000−2i2i0000−2i2i0000002-20000000000−2i2i00000000000
χ4022-2-2222-2-22-2-2-22−2i−2i2i2i-222-22-200-2-222000000−2i2i−2i−2i2i2i0-22-22002-20000000002i−2i0000−2i2i000000-2200000000002i−2i00000000000
χ4122-2-222-22-22-2-2-222i2i−2i−2i002-22-20022-2-2000000−2i2i2i2i−2i−2i0000000-2200000002-2000000−2i2i000000000000000000002-20002i−2i0000
χ4222-2-222-22-22-2-2-222i2i−2i−2i002-22-20022-2-2000000−2i2i2i2i−2i−2i0000000-220000000-22000000−2i2i00000000000000000000-22000−2i2i0000
χ4322-2-222-22-22-2-2-22−2i−2i2i2i002-22-20022-2-20000002i−2i−2i−2i2i2i0000000-2200000002-20000002i−2i000000000000000000002-2000−2i2i0000
χ4422-2-222-22-22-2-2-22−2i−2i2i2i002-22-20022-2-20000002i−2i−2i−2i2i2i0000000-220000000-220000002i−2i00000000000000000000-220002i−2i0000
χ4522-2-22-12-2-2-1-21122i2i−2i−2i2-2-11-11001-2-1233−3−3002i−2i−i−iii02-2-113−3-110033−3−30002i−2i0000−ii00−i3−i3i3i3-1103−300000−i3i3−ii00000000000
χ4622-2-22-12-2-2-1-21122i2i−2i−2i2-2-11-11001-2-12−3−333002i−2i−i−iii02-2-11−33-1100−3−3330002i−2i0000−ii00i3i3−i3−i3-110−3300000i3−i3−ii00000000000
χ4722-2-22-12-2-2-1-21122i2i−2i−2i-22-11-11001-2-1233−3−3002i−2i−i−iii0-221-1−33-110033−3−3000−2i2i0000−ii00−i3−i3i3i31-10−3300000i3−i3i−i00000000000
χ4822-2-22-12-2-2-1-21122i2i−2i−2i-22-11-11001-2-12−3−333002i−2i−i−iii0-221-13−3-1100−3−333000−2i2i0000−ii00i3i3−i3−i31-103−300000−i3i3i−i00000000000
χ4922-2-22-12-2-2-1-2112−2i−2i2i2i2-2-11-11001-2-1233−3−300−2i2iii−i−i02-2-113−3-110033−3−3000−2i2i0000i−i00i3i3−i3−i3-1103−300000i3−i3i−i00000000000
χ5022-2-22-12-2-2-1-2112−2i−2i2i2i2-2-11-11001-2-12−3−33300−2i2iii−i−i02-2-11−33-1100−3−333000−2i2i0000i−i00−i3−i3i3i3-110−3300000−i3i3i−i00000000000
χ5122-2-22-12-2-2-1-2112−2i−2i2i2i-22-11-11001-2-1233−3−300−2i2iii−i−i0-221-1−33-110033−3−30002i−2i0000i−i00i3i3−i3−i31-10−3300000−i3i3−ii00000000000
χ5222-2-22-12-2-2-1-2112−2i−2i2i2i-22-11-11001-2-12−3−33300−2i2iii−i−i0-221-13−3-1100−3−3330002i−2i0000i−i00−i3−i3i3i31-103−300000i3−i3−ii00000000000
χ532-22-22200-2-22-22-22-22-2002-2-222−200002−22−22i−2i002-22-20000000002−22−22−2000002−2−i2i2002i−2i2−22−2000002i−2i000000000−i2i2000−i2i200
χ542-22-22200-2-22-22-22-22-2002-2-222−200002−22−2−2i2i002-22-20000000002−22−22−2000002−2i2−i200−2i2i2−22−200000−2i2i000000000i2−i2000i2−i200
χ552-22-22200-2-22-22-22-22-2002-2-22−220000−22−222i−2i002-22-2000000000−22−22−2200000−22i2−i2002i−2i−22−22000002i−2i000000000i2−i2000i2−i200
χ562-22-22200-2-22-22-22-22-2002-2-22−220000−22−22−2i2i002-22-2000000000−22−22−2200000−22−i2i200−2i2i−22−2200000−2i2i000000000−i2i2000−i2i200
χ572-22-22200-2-22-22-2-22-22002-2-222−200002−22−22i−2i00-22-220000000002−22−22−200000−22−i2i2002i−2i−22−2200000−2i2i000000000−i2i2000i2−i200
χ582-22-22200-2-22-22-2-22-22002-2-222−200002−22−2−2i2i00-22-220000000002−22−22−200000−22i2−i200−2i2i−22−22000002i−2i000000000i2−i2000−i2i200
χ592-22-22200-2-22-22-2-22-22002-2-22−220000−22−222i−2i00-22-22000000000−22−22−22000002−2i2−i2002i−2i2−22−200000−2i2i000000000i2−i2000−i2i200
χ602-22-22200-2-22-22-2-22-22002-2-22−220000−22−22−2i2i00-22-22000000000−22−22−22000002−2−i2i200−2i2i2−22−2000002i−2i000000000−i2i2000i2−i200
χ6144444-2-4-44-24-2-24444400-2-2-2-2002-42-4000000-4-4-2-2-2-2000000022000000000000000220000000000000000000000000000000
χ6244444-2-4-44-24-2-24-4-4-4-400-2-2-2-2002-42-4000000442222000000022000000000000000-2-20000000000000000000000000000000
χ634444-24-4-4-24-244-2000000-2-2-2-200-42-42000044000000000000022000000-40000000000-2-200000000000002000000000000000
χ644444-24-4-4-24-244-2000000-2-2-2-200-42-420000-4-400000000000002200000040000000000220000000000000-2000000000000000
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
χ6944-4-44-2-44-4-2-42244i4i−4i−4i00-22-2200-242-4000000−4i4i−2i−2i2i2i00000002-20000000000000002i−2i0000000000000000000000000000000
χ7044-4-44-2-44-4-2-4224−4i−4i4i4i00-22-2200-242-40000004i−4i2i2i−2i−2i00000002-2000000000000000−2i2i0000000000000000000000000000000
χ7144-4-4-244-4242-4-4-200004-4-22-2200-424-20000000000000-224-400-2200000000000000000000000-2200000000000000000000000
χ7244-4-4-244-4242-4-4-20000-44-22-2200-424-200000000000002-2-4400-22000000000000000000000002-200000000000000000000000
χ7344-4-4-24-44242-4-4-2000000-22-22004-2-4200000000000000000002-200000004-40000000000000000000000000000-22000000000
χ7444-4-4-24-44242-4-4-2000000-22-22004-2-4200000000000000000002-20000000-4400000000000000000000000000002-2000000000
χ7544-4-4-2-24-42-2222-200004-41-11-10022-2-22323−23−23000000000-22-2223−231-100−3−333000000000000000001-10−3300000000000000000000
χ7644-4-4-2-24-42-2222-200004-41-11-10022-2-2−23−232323000000000-22-22−23231-10033−3−3000000000000000001-103−300000000000000000000
χ7744-4-4-2-24-42-2222-20000-441-11-10022-2-22323−23−230000000002-22-2−23231-100−3−33300000000000000000-1103−300000000000000000000
χ7844-4-4-2-24-42-2222-20000-441-11-10022-2-2−23−2323230000000002-22-223−231-10033−3−300000000000000000-110−3300000000000000000000
χ794-44-44-200-4242-2-44-44-400-222-222−220000−22−220000-22-2200000000022−22−22−220000022−22000000−22−220000000000000000000000000
χ804-44-44-200-4242-2-44-44-400-222-2−222200002−22−20000-22-22000000000−22222−22−200000−22220000002−22−20000000000000000000000000
χ814-44-44-200-4242-2-4-44-4400-222-222−220000−22−2200002-22-200000000022−22−22−2200000−22220000002−22−20000000000000000000000000
χ824-44-44-200-4242-2-4-44-4400-222-2−222200002−22−200002-22-2000000000−22222−22−20000022−22000000−22−220000000000000000000000000
χ834-44-4-24002-4-2-442000000-222-222−22000022−2222−224i−4i000000000000000−22−22−220000000−2i22i200−2i2i00000000000000000000i2−i20000000
χ844-44-4-24002-4-2-442000000-222-222−22000022−2222−22−4i4i000000000000000−22−22−2200000002i2−2i2002i−2i00000000000000000000−i2i20000000
χ854-44-4-24002-4-2-442000000-222-2−22220000−2222−22224i−4i0000000000000002−22−22−200000002i2−2i200−2i2i00000000000000000000−i2i20000000
χ864-44-4-24002-4-2-442000000-222-2−22220000−2222−2222−4i4i0000000000000002−22−22−20000000−2i22i2002i−2i00000000000000000000i2−i20000000
χ874-4-4444004-4-44-4-44i−4i−4i4i0044-4-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ884-4-4444004-4-44-4-4−4i4i4i−4i0044-4-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ894-4-444-20042-4-22-44i−4i−4i4i00-2-2220000006−6−660000−2i2i2i−2i000000000006−6−660000000000000−i6i6i6−i60000000000000000000000000
χ904-4-444-20042-4-22-44i−4i−4i4i00-2-222000000−666−60000−2i2i2i−2i00000000000−666−60000000000000i6−i6−i6i60000000000000000000000000
χ914-4-444-20042-4-22-4−4i4i4i−4i00-2-2220000006−6−6600002i−2i−2i2i000000000006−6−660000000000000i6−i6−i6i60000000000000000000000000
χ924-4-444-20042-4-22-4−4i4i4i−4i00-2-222000000−666−600002i−2i−2i2i00000000000−666−60000000000000−i6i6i6−i60000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400000022220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-884-4444-40000002-22-200-4-4440000000000000000000-22000000000000000000000000000000000000000000000000
χ958-88-8-4-40044-44-440000002-2-2242−420000−2222−222200000000000000000−22222−22−2000000000000000000000000000000000000000000
χ968-88-8-4-40044-44-440000002-2-22−4242000022−2222−220000000000000000022−22−22−22000000000000000000000000000000000000000000
χ978-8-88-4800-4-848-84000000-4-444000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-400-444-44400000022-2-200000026−26−26260000000000000000000−666−6000000000000000000000000000000000000000000
χ998-8-88-4-400-444-44400000022-2-2000000−262626−2600000000000000000006−6−66000000000000000000000000000000000000000000

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