Finite Group Databasebeta

← Group #11870605

Character table — Group #11870605

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order12223344666666444422366688121212122424242444441212121246666121212122424242424242444488881212121224242424661212124424612121212121224244448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111111111111-1-1-11111-1-111-1-1111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111-1-11111-1-1-1-1-1-1111111-11111-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-111-1-111-1-1-11111
χ5111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-1-111-1-11-1-1-1-1-1-111-1-1111-1-1
χ6111111111111111111-1-111111111111111-1-1111111-1-1-1-1-1-1-111111111-111-1-111-1-111-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-1-111
χ7111111111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111
χ8111111111111111111-1-11111-1-11111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-11-111-1-1111111-111-1-1
χ911111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-111-1-111-1-1-1-111111-1-11-11-1-1-1-11111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11111-111-1-1-1-111111-1-11-1
χ1311111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11
χ1411111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-11111-1
χ1511111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-1-11111-1-1-1-1111111-1-1111-1-11-11-1-111-1-1-1-111-1111-1
χ1611111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111-1-1-1-1-1111111-1-11-1-1-11
χ17222222-2-2222222222200222200-2-2-2-2000022-2-222220000000-2-2000000-200000000-2-2220000000002200-20000000000-20000
χ18222222-2-2222222222200222200-2-2-2-20000-2-2-2-222220000000-2-2000000200000000-2-2-2-2000000000-2-2002000000000020000
χ19222222-2-2222222-2-2-2-200222200-2-2-2-200002222-2-2-2-20000000-2-2000000-2000000002222000000000-2-200-2000000000020000
χ20222222-2-2222222-2-2-2-200222200-2-2-2-20000-2-222-2-2-2-20000000-2-200000020000000022-2-2000000000220020000000000-20000
χ2122222-122-1-1222-1000022-1-1-1-1222-12-1222222000000222-1-122-1-1-1-1-1-1-1-122200002200-1-10000-1-1-1-1-10020-10000-1-1-1-100000-10
χ2222222-122-1-1222-1000022-1-1-1-1222-12-12222-2-2000000222-1-122-1-1-1-1-1-1-1-1-2-2-20000-2-200110000-1-1-1-1-100-201000011110000010
χ2322222-122-1-1222-1000022-1-1-1-1-2-22-12-1-2-2-2-222000000-222-1-1-2-2-1-11111112220000-2-200-1-10000-1-111100-20-10000-1-1110000010
χ2422222-122-1-1222-1000022-1-1-1-1-2-22-12-1-2-2-2-2-2-2000000-222-1-1-2-2-1-1111111-2-2-200002200110000-1-111100201000011-1-100000-10
χ2522222-122-1-1222-10000-2-2-1-1-1-1222-12-1222222000000-2-2-211-2-2-1-1-1-1-1-1-1-12-2-200002200-1-100001111100-20-1000011-1-10000010
χ2622222-122-1-1222-10000-2-2-1-1-1-1222-12-12222-2-2000000-2-2-211-2-2-1-1-1-1-1-1-1-1-2220000-2-20011000011111002010000-1-11100000-10
χ2722222-122-1-1222-10000-2-2-1-1-1-1-2-22-12-1-2-2-2-2220000002-2-21122-1-11111112-2-20000-2-200-1-1000011-1-1-10020-10000111100000-10
χ2822222-122-1-1222-10000-2-2-1-1-1-1-2-22-12-1-2-2-2-2-2-20000002-2-21122-1-1111111-2220000220011000011-1-1-100-2010000-1-1-1-10000010
χ292222-122222-1-1-12222222-1-1-1-122-12-12-1-1-1-10022-1-1-1-12-1-122-1-1-1-122-1-1-1-1000222200-1-100-1-1-1-1-1-12-1-100020-1-1-1-100000000000
χ302222-122222-1-1-12222222-1-1-1-1-2-2-12-1211110022-1-1-1-1-2-1-12211-1-1-2-2111100022-2-200-1-1001111-1-1-211000-2011-1-100000000000
χ312222-122222-1-1-122222-2-2-1-1-1-122-12-12-1-1-1-10022-1-1-1-1-211-2-211-1-122-1-1-1-1000-2-22200-1-100-1-1-1-111-211000-20111100000000000
χ322222-122222-1-1-122222-2-2-1-1-1-1-2-2-12-1211110022-1-1-1-1211-2-2-1-1-1-1-2-21111000-2-2-2-200-1-1001111112-1-100020-1-11100000000000
χ332222-122222-1-1-12-2-2-2-222-1-1-1-122-12-12-1-1-1-100-2-211112-1-122-1-1-1-122-1-1-1-1000-2-2-2-20011001111-1-12-1-1000-20111100000000000
χ342222-122222-1-1-12-2-2-2-222-1-1-1-1-2-2-12-12111100-2-21111-2-1-12211-1-1-2-21111000-2-222001100-1-1-1-1-1-1-21100020-1-11100000000000
χ352222-122222-1-1-12-2-2-2-2-2-2-1-1-1-122-12-12-1-1-1-100-2-21111-211-2-211-1-122-1-1-1-100022-2-2001100111111-21100020-1-1-1-100000000000
χ362222-122222-1-1-12-2-2-2-2-2-2-1-1-1-1-2-2-12-12111100-2-21111211-2-2-1-1-1-1-2-211110002222001100-1-1-1-1112-1-1000-2011-1-100000000000
χ3722-2-2222-2-2-2-22-222i2i−2i−2i2-22-22-200-2-2220000002i−2i2i2i−2i−2i02-22-2002-20000000002i−2i00002i−2i0000002-200000000002i−2i00000000000
χ3822-2-2222-2-2-2-22-222i2i−2i−2i-222-22-200-2-2220000002i−2i2i2i−2i−2i0-22-22002-2000000000−2i2i00002i−2i000000-220000000000−2i2i00000000000
χ3922-2-2222-2-2-2-22-22−2i−2i2i2i2-22-22-200-2-222000000−2i2i−2i−2i2i2i02-22-2002-2000000000−2i2i0000−2i2i0000002-20000000000−2i2i00000000000
χ4022-2-2222-2-2-2-22-22−2i−2i2i2i-222-22-200-2-222000000−2i2i−2i−2i2i2i0-22-22002-20000000002i−2i0000−2i2i000000-2200000000002i−2i00000000000
χ4122-2-222-22-2-2-22-222i2i−2i−2i002-22-20022-2-2000000−2i2i2i2i−2i−2i0000000-2200000002-2000000−2i2i000000000000000000002-2002i−2i00000
χ4222-2-222-22-2-2-22-222i2i−2i−2i002-22-20022-2-2000000−2i2i2i2i−2i−2i0000000-220000000-22000000−2i2i00000000000000000000-2200−2i2i00000
χ4322-2-222-22-2-2-22-22−2i−2i2i2i002-22-20022-2-20000002i−2i−2i−2i2i2i0000000-2200000002-20000002i−2i000000000000000000002-200−2i2i00000
χ4422-2-222-22-2-2-22-22−2i−2i2i2i002-22-20022-2-20000002i−2i−2i−2i2i2i0000000-220000000-220000002i−2i00000000000000000000-22002i−2i00000
χ4522-2-2-122-2-2-21-1122i2i−2i−2i2-2-11-11001-2-1233−3−3002i−2i−i−iii0-112-23−3-110033−3−30002i−2i0000−ii00−i3−i3i3i3-1103−300000−i3i3−ii00000000000
χ4622-2-2-122-2-2-21-1122i2i−2i−2i2-2-11-11001-2-12−3−333002i−2i−i−iii0-112-2−33-1100−3−3330002i−2i0000−ii00i3i3−i3−i3-110−3300000i3−i3−ii00000000000
χ4722-2-2-122-2-2-21-1122i2i−2i−2i-22-11-11001-2-1233−3−3002i−2i−i−iii01-1-22−33-110033−3−3000−2i2i0000−ii00−i3−i3i3i31-10−3300000i3−i3i−i00000000000
χ4822-2-2-122-2-2-21-1122i2i−2i−2i-22-11-11001-2-12−3−333002i−2i−i−iii01-1-223−3-1100−3−333000−2i2i0000−ii00i3i3−i3−i31-103−300000−i3i3i−i00000000000
χ4922-2-2-122-2-2-21-112−2i−2i2i2i2-2-11-11001-2-1233−3−300−2i2iii−i−i0-112-23−3-110033−3−3000−2i2i0000i−i00i3i3−i3−i3-1103−300000i3−i3i−i00000000000
χ5022-2-2-122-2-2-21-112−2i−2i2i2i2-2-11-11001-2-12−3−33300−2i2iii−i−i0-112-2−33-1100−3−333000−2i2i0000i−i00−i3−i3i3i3-110−3300000−i3i3i−i00000000000
χ5122-2-2-122-2-2-21-112−2i−2i2i2i-22-11-11001-2-1233−3−300−2i2iii−i−i01-1-22−33-110033−3−30002i−2i0000i−i00i3i3−i3−i31-10−3300000−i3i3−ii00000000000
χ5222-2-2-122-2-2-21-112−2i−2i2i2i-22-11-11001-2-12−3−33300−2i2iii−i−i01-1-223−3-1100−3−3330002i−2i0000i−i00−i3−i3i3i31-103−300000i3−i3−ii00000000000
χ532-2-2222002-2-2-22-22-22-20022-2-2−i2i20000−i2i2−i2i22i−2i002-22-2000000000−i2i2−i2i2−i2i200000−i2i22−2002i−2i−i2i2−i2i2000002i−2i0000000002−20002−200
χ542-2-2222002-2-2-22-22-22-20022-2-2−i2i20000−i2i2−i2i2−2i2i002-22-2000000000−i2i2−i2i2−i2i200000−i2i2−2200−2i2i−i2i2−i2i200000−2i2i000000000−22000−2200
χ552-2-2222002-2-2-22-22-22-20022-2-2i2−i20000i2−i2i2−i22i−2i002-22-2000000000i2−i2i2−i2i2−i200000i2−i2−22002i−2ii2−i2i2−i2000002i−2i000000000−22000−2200
χ562-2-2222002-2-2-22-22-22-20022-2-2i2−i20000i2−i2i2−i2−2i2i002-22-2000000000i2−i2i2−i2i2−i200000i2−i22−200−2i2ii2−i2i2−i200000−2i2i0000000002−20002−200
χ572-2-2222002-2-2-22-2-22-220022-2-2−i2i20000−i2i2−i2i22i−2i00-22-22000000000−i2i2−i2i2−i2i200000i2−i22−2002i−2ii2−i2i2−i200000−2i2i0000000002−2000−2200
χ582-2-2222002-2-2-22-2-22-220022-2-2−i2i20000−i2i2−i2i2−2i2i00-22-22000000000−i2i2−i2i2−i2i200000i2−i2−2200−2i2ii2−i2i2−i2000002i−2i000000000−220002−200
χ592-2-2222002-2-2-22-2-22-220022-2-2i2−i20000i2−i2i2−i22i−2i00-22-22000000000i2−i2i2−i2i2−i200000−i2i2−22002i−2i−i2i2−i2i200000−2i2i000000000−220002−200
χ602-2-2222002-2-2-22-2-22-220022-2-2i2−i20000i2−i2i2−i2−2i2i00-22-22000000000i2−i2i2−i2i2−i200000−i2i22−200−2i2i−i2i2−i2i2000002i−2i0000000002−2000−2200
χ6144444-2-4-4-2-2444-2000000-2-2-2-200-42-42000044000000000000022000000-40000000000-2-200000000000002000000000000000
χ6244444-2-4-4-2-2444-2000000-2-2-2-200-42-420000-4-400000000000002200000040000000000220000000000000-2000000000000000
χ634444-24-4-444-2-2-24444400-2-2-2-2002-42-4000000-4-4-2-2-2-2000000022000000000000000220000000000000000000000000000000
χ644444-24-4-444-2-2-24-4-4-4-400-2-2-2-2002-42-4000000442222000000022000000000000000-2-20000000000000000000000000000000
χ654444-2-244-2-2-2-2-2-2000044111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000011-21100000000000000000000
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
χ6944-4-44-24-422-44-4-200004-4-22-2200-424-200000000000004-4-2200-2200000000000000000000000-2200000000000000000000000
χ7044-4-44-24-422-44-4-20000-44-22-2200-424-20000000000000-442-200-22000000000000000000000002-200000000000000000000000
χ7144-4-44-2-4422-44-4-2000000-22-22004-2-4200000000000000000002-200000004-40000000000000000000000000000-22000000000
χ7244-4-44-2-4422-44-4-2000000-22-22004-2-4200000000000000000002-20000000-4400000000000000000000000000002-2000000000
χ7344-4-4-24-44-4-42-2244i4i−4i−4i00-22-2200-242-4000000−4i4i−2i−2i2i2i00000002-20000000000000002i−2i0000000000000000000000000000000
χ7444-4-4-24-44-4-42-224−4i−4i4i4i00-22-2200-242-40000004i−4i2i2i−2i−2i00000002-2000000000000000−2i2i0000000000000000000000000000000
χ7544-4-4-2-24-4222-22-200004-41-11-10022-2-22323−23−23000000000-22-2223−231-100−3−333000000000000000001-10−3300000000000000000000
χ7644-4-4-2-24-4222-22-200004-41-11-10022-2-2−23−232323000000000-22-22−23231-10033−3−3000000000000000001-103−300000000000000000000
χ7744-4-4-2-24-4222-22-20000-441-11-10022-2-22323−23−230000000002-22-2−23231-100−3−33300000000000000000-1103−300000000000000000000
χ7844-4-4-2-24-4222-22-20000-441-11-10022-2-2−23−2323230000000002-22-223−231-10033−3−300000000000000000-110−3300000000000000000000
χ794-44-44400-444-4-4-44i−4i−4i4i004-4-44000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ804-44-44400-444-4-4-4−4i4i4i−4i004-4-4400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ814-44-4-2400-44-222-44i−4i−4i4i00-222-2000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ824-44-4-2400-44-222-44i−4i−4i4i00-222-2000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ834-44-4-2400-44-222-4−4i4i4i−4i00-222-2000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ844-44-4-2400-44-222-4−4i4i4i−4i00-222-2000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ854-4-444-200-22-4-442000000-2-222−2i22i20000−2i22i2−2i22i24i−4i000000000000000i2−i2i2−i2i2−i2000000022−2200−2i2i00000000000000000000−220000000
χ864-4-444-200-22-4-442000000-2-222−2i22i20000−2i22i2−2i22i2−4i4i000000000000000i2−i2i2−i2i2−i20000000−2222002i−2i000000000000000000002−20000000
χ874-4-444-200-22-4-442000000-2-2222i2−2i200002i2−2i22i2−2i24i−4i000000000000000−i2i2−i2i2−i2i20000000−222200−2i2i000000000000000000002−20000000
χ884-4-444-200-22-4-442000000-2-2222i2−2i200002i2−2i22i2−2i2−4i4i000000000000000−i2i2−i2i2−i2i2000000022−22002i−2i00000000000000000000−220000000
χ894-4-44-24004-422-2-44-44-400-2-222−2i22i20000i2−i2i2−i20000-22-22000000000−2i22i2i2−i2i2−i200000−2i22i2000000i2−i2i2−i20000000000000000000000000
χ904-4-44-24004-422-2-44-44-400-2-2222i2−2i20000−i2i2−i2i20000-22-220000000002i2−2i2−i2i2−i2i2000002i2−2i2000000−i2i2−i2i20000000000000000000000000
χ914-4-44-24004-422-2-4-44-4400-2-222−2i22i20000i2−i2i2−i200002-22-2000000000−2i22i2i2−i2i2−i2000002i2−2i2000000−i2i2−i2i20000000000000000000000000
χ924-4-44-24004-422-2-4-44-4400-2-2222i2−2i20000−i2i2−i2i200002-22-20000000002i2−2i2−i2i2−i2i200000−2i22i2000000i2−i2i2−i20000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400000022220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-88444-44-40000002-22-200-4-4440000000000000000000-22000000000000000000000000000000000000000000000000
χ958-88-88-4004-48-8-84000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4004-4-44440000002-2-220000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ978-88-8-4-4004-4-44440000002-2-22000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000
χ988-8-88-4-400-4444-4400000022-2-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000000
χ998-8-88-4-400-4444-4400000022-2-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000000

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