Finite Group Databasebeta

← Group #11899571

Character table — Group #11899571

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222222444444446666888888121212121212121212121616162424242436364872112222222444444446666888888121212121212121212121616162424242436364872
order1233466883612122424242424121241212122424681616242448484848121212226616166222664668866121224242424241212412121224246816162424484848481212122266161662
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111-1-1-1-11111-111-1-1-1-111111111111111111111111111111-1-111-1-1-1-11111-111-1-1-1-1
χ3111111111111111111111-1-1-11111111111111-1-1-1-1-1-1-111-1-1111111111111111111111-1-1-11111111111111-1-1-1-1-1-1-111-1-1
χ4111111111111111111111-1-1-111111-1-111-1-1-1-1-1-1-1-11-1-1-1-111111111111111111111111-1-1-111111-1-111-1-1-1-1-1-1-1-11-1-1-1-111
χ511111111111111111-1-1-1-1111111-1-111-1-11111111-11-1-1-1-11-111111111111111111-1-1-1-1111111-1-111-1-11111111-11-1-1-1-11-1
χ611111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-11
χ711111111111111111-1-1-1-1-1-1-1111-1-111-1-11111-1-1-11-111-1-1-1111111111111111111-1-1-1-1-1-1-1111-1-111-1-11111-1-1-11-111-1-1-11
χ811111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ92222222-2-22222-2-2-2-222220002-2-22-200-2-20000000000000002222222-2-22222-2-2-2-222220002-2-22-200-2-2000000000000000
χ102222222-2-22222-2-2-2-2-2-2-2-20002-2-2-2200220000000000000002222222-2-22222-2-2-2-2-2-2-2-20002-2-2-220022000000000000000
χ112222-2220022-2-200002-2-2-2000-200202−20022−2−200000002−2002222-2220022-2-200002-2-2-2000-200202−20022−2−200000002−200
χ122222-2220022-2-200002-2-2-2000-20020−2200−2−2220000000−22002222-2220022-2-200002-2-2-2000-20020−2200−2−2220000000−2200
χ132222-2220022-2-20000-2222000-200-202−20022−2−20000000−22002222-2220022-2-20000-2222000-200-202−20022−2−20000000−2200
χ142222-2220022-2-20000-2222000-200-20−2200−2−22200000002−2002222-2220022-2-20000-2222000-200-20−2200−2−22200000002−200
χ15222-122-122-1-12-1-1-12222-1-12-1-1-1-1-1-1200-1-100002-1-120-1-10000222-122-122-1-12-1-1-12222-1-12-1-1-1-1-1-1200-1-100002-1-120-1-10000
χ16222-122-122-1-12-1-1-12222-1-1-211-1-1-1-1200-1-10000-211-20110000222-122-122-1-12-1-1-12222-1-1-211-1-1-1-1200-1-10000-211-20110000
χ17222-122-122-1-12-1-1-122-2-2112-1-1-1-1-11-2001100002-1-1-20110000222-122-122-1-12-1-1-122-2-2112-1-1-1-1-11-2001100002-1-1-20110000
χ18222-122-122-1-12-1-1-122-2-211-211-1-1-11-200110000-21120-1-10000222-122-122-1-12-1-1-122-2-211-211-1-1-11-200110000-21120-1-10000
χ19222-122-1-2-2-1-12-111-2-222-1-10−i3i3-111-1-2001100000−i3i300−i3i30000222-122-1-2-2-1-12-111-2-222-1-10−i3i3-111-1-2001100000−i3i300−i3i30000
χ20222-122-1-2-2-1-12-111-2-222-1-10i3−i3-111-1-2001100000i3−i300i3−i30000222-122-1-2-2-1-12-111-2-222-1-10i3−i3-111-1-2001100000i3−i300i3−i30000
χ21222-122-1-2-2-1-12-111-2-2-2-2110−i3i3-1111200-1-100000−i3i300i3−i30000222-122-1-2-2-1-12-111-2-2-2-2110−i3i3-1111200-1-100000−i3i300i3−i30000
χ22222-122-1-2-2-1-12-111-2-2-2-2110i3−i3-1111200-1-100000i3−i300−i3i30000222-122-1-2-2-1-12-111-2-2-2-2110i3−i3-1111200-1-100000i3−i300−i3i30000
χ2322-122-1222-1-1-1222-1-10000222-1-1-1002200-1-1-1-1-1-1-1020000-1022-122-1222-1-1-1222-1-10000222-1-1-1002200-1-1-1-1-1-1-1020000-10
χ2422-122-1222-1-1-1222-1-10000222-1-1-100-2-2001111-1-1-10-200001022-122-1222-1-1-1222-1-10000222-1-1-100-2-2001111-1-1-10-2000010
χ2522-122-1222-1-1-1222-1-10000-2-2-2-1-1-1002200-1-1-1-11110-200001022-122-1222-1-1-1222-1-10000-2-2-2-1-1-1002200-1-1-1-11110-2000010
χ2622-122-1222-1-1-1222-1-10000-2-2-2-1-1-100-2-2001111111020000-1022-122-1222-1-1-1222-1-10000-2-2-2-1-1-100-2-2001111111020000-10
χ27444-2-44-200-2-2-4200004-422000200-200000000000000000000444-2-44-200-2-2-4200004-422000200-200000000000000000000
χ28444-2-44-200-2-2-420000-44-2-2000200200000000000000000000444-2-44-200-2-2-420000-44-2-2000200200000000000000000000
χ2944-244-24-4-4-2-2-24-4-4220000000-22200000000000000000000044-244-24-4-4-2-2-24-4-4220000000-222000000000000000000000
χ3044-24-4-2400-2-22-4000000000002000022−2200−2−2220000000000044-24-4-2400-2-22-4000000000002000022−2200−2−22200000000000
χ3144-24-4-2400-2-22-40000000000020000−22220022−2−20000000000044-24-4-2400-2-22-40000000000020000−22220022−2−200000000000
χ3244-2-24-2-24411-2-2-2-2-2-200004-2-21110000000000-2110000000044-2-24-2-24411-2-2-2-2-2-200004-2-21110000000000-21100000000
χ3344-2-24-2-24411-2-2-2-2-2-20000-42211100000000002-1-10000000044-2-24-2-24411-2-2-2-2-2-20000-42211100000000002-1-100000000
χ3444-2-24-2-2-4-411-2-2222200000−2i32i31-1-100000000000i3−i30000000044-2-24-2-2-4-411-2-2222200000−2i32i31-1-100000000000i3−i300000000
χ3544-2-24-2-2-4-411-2-22222000002i3−2i31-1-100000000000−i3i30000000044-2-24-2-2-4-411-2-22222000002i3−2i31-1-100000000000−i3i300000000
χ364-4440-4-422−224-40022−2222−220000000022−220000000000000000000004-4440-4-422−224-40022−2222−220000000022−22000000000000000000000
χ374-4440-4-4−22224-400−2222−222200000000−22220000000000000000000004-4440-4-4−22224-400−2222−222200000000−2222000000000000000000000
χ384-44-20-4222−22-2200−2222−220023−230000−2200006−60000000000000004-44-20-4222−22-2200−2222−220023−230000−2200006−6000000000000000
χ394-44-20-4222−22-2200−2222−2200−23230000−220000−660000000000000004-44-20-4222−22-2200−2222−2200−23230000−220000−66000000000000000
χ404-44-20-42−2222-22002−2−22220023−2300002−20000−660000000000000004-44-20-42−2222-22002−2−22220023−2300002−20000−66000000000000000
χ414-44-20-42−2222-22002−2−222200−232300002−200006−60000000000000004-44-20-42−2222-22002−2−222200−232300002−200006−6000000000000000
χ424-4-2402-422−22-220022−22−2200000000−22000000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47000000000004-4-2402-422−22-220022−22−2200000000−22000000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000
χ434-4-2402-422−22-220022−22−2200000000−22000000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47000000000004-4-2402-422−22-220022−22−2200000000−22000000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000
χ444-4-2402-4−2222-2200−22222−2000000002−2000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43000000000004-4-2402-4−2222-2200−22222−2000000002−2000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000
χ454-4-2402-4−2222-2200−22222−2000000002−2000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43000000000004-4-2402-4−2222-2200−22222−2000000002−2000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000
χ4688-4-4-8-4-400224400000000000-20000000000000000000000088-4-4-8-4-400224400000000000-200000000000000000000000
χ478-8-4-404442−422-200−2222−2222000000002−20000000000000000000008-8-4-404442−422-200−2222−2222000000002−2000000000000000000000
χ488-8-4-4044−42422-20022−2222−2200000000−220000000000000000000008-8-4-4044−42422-20022−2222−2200000000−22000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5011111111111111111111111111111-1-111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-11111
χ51111111111111111111111-1-1-11111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111
χ52111111111111111111111-1-1-111111-1-111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-111111111-11111-1-1
χ5311111111111111111-1-1-1-1111111-1-111-1-11111111-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-11111-11
χ5411111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-11111-1-11-1
χ5511111111111111111-1-1-1-1-1-1-1111-1-111-1-11111-1-1-11-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-111-1-1-1-1111-11-1-1111-1
χ5611111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11111111111111-1-1-1-1-1-1-11
χ572222222-2-22222-2-2-2-222220002-2-22-200-2-2000000000000000-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2000-222-220022000000000000000
χ582222222-2-22222-2-2-2-2-2-2-2-20002-2-2-220022000000000000000-2-2-2-2-2-2-222-2-2-2-222222222000-2222-200-2-2000000000000000
χ592222-2220022-2-200002-2-2-2000-200202−20022−2−200000002−200-2-2-2-22-2-200-2-2220000-2222000200-20−2200−2−2220000000−2200
χ602222-2220022-2-200002-2-2-2000-20020−2200−2−2220000000−2200-2-2-2-22-2-200-2-2220000-2222000200-202−20022−2−200000002−200
χ612222-2220022-2-20000-2222000-200-202−20022−2−20000000−2200-2-2-2-22-2-200-2-22200002-2-2-200020020−2200−2−22200000002−200
χ622222-2220022-2-20000-2222000-200-20−2200−2−22200000002−200-2-2-2-22-2-200-2-22200002-2-2-2000200202−20022−2−20000000−2200
χ63222-122-122-1-12-1-1-12222-1-12-1-1-1-1-1-1200-1-100002-1-120-1-10000-2-2-21-2-21-2-211-2111-2-2-2-211-2111111-200110000-211-20110000
χ64222-122-122-1-12-1-1-12222-1-1-211-1-1-1-1200-1-10000-211-20110000-2-2-21-2-21-2-211-2111-2-2-2-2112-1-11111-2001100002-1-120-1-10000
χ65222-122-122-1-12-1-1-122-2-2112-1-1-1-1-11-2001100002-1-1-20110000-2-2-21-2-21-2-211-2111-2-222-1-1-211111-1200-1-10000-21120-1-10000
χ66222-122-122-1-12-1-1-122-2-211-211-1-1-11-200110000-21120-1-10000-2-2-21-2-21-2-211-2111-2-222-1-12-1-1111-1200-1-100002-1-1-20110000
χ67222-122-1-2-2-1-12-111-2-222-1-10−i3i3-111-1-2001100000−i3i300−i3i30000-2-2-21-2-212211-21-1-122-2-2110i3−i31-1-11200-1-100000i3−i300i3−i30000
χ68222-122-1-2-2-1-12-111-2-222-1-10i3−i3-111-1-2001100000i3−i300i3−i30000-2-2-21-2-212211-21-1-122-2-2110−i3i31-1-11200-1-100000−i3i300−i3i30000
χ69222-122-1-2-2-1-12-111-2-2-2-2110−i3i3-1111200-1-100000−i3i300i3−i30000-2-2-21-2-212211-21-1-12222-1-10i3−i31-1-1-1-2001100000i3−i300−i3i30000
χ70222-122-1-2-2-1-12-111-2-2-2-2110i3−i3-1111200-1-100000i3−i300−i3i30000-2-2-21-2-212211-21-1-12222-1-10−i3i31-1-1-1-2001100000−i3i300i3−i30000
χ7122-122-1222-1-1-1222-1-10000222-1-1-1002200-1-1-1-1-1-1-1020000-10-2-21-2-21-2-2-2111-2-2-2110000-2-2-211100-2-20011111110-2000010
χ7222-122-1222-1-1-1222-1-10000222-1-1-100-2-2001111-1-1-10-2000010-2-21-2-21-2-2-2111-2-2-2110000-2-2-2111002200-1-1-1-1111020000-10
χ7322-122-1222-1-1-1222-1-10000-2-2-2-1-1-1002200-1-1-1-11110-2000010-2-21-2-21-2-2-2111-2-2-211000022211100-2-2001111-1-1-1020000-10
χ7422-122-1222-1-1-1222-1-10000-2-2-2-1-1-100-2-2001111111020000-10-2-21-2-21-2-2-2111-2-2-2110000222111002200-1-1-1-1-1-1-10-2000010
χ75444-2-44-200-2-2-4200004-422000200-200000000000000000000-4-4-424-4200224-20000-44-2-2000-200200000000000000000000
χ76444-2-44-200-2-2-420000-44-2-2000200200000000000000000000-4-4-424-4200224-200004-422000-200-200000000000000000000
χ7744-244-24-4-4-2-2-24-4-4220000000-222000000000000000000000-4-42-4-42-444222-444-2-200000002-2-2000000000000000000000
χ7844-24-4-2400-2-22-4000000000002000022−2200−2−22200000000000-4-42-442-40022-2400000000000-20000−22220022−2−200000000000
χ7944-24-4-2400-2-22-40000000000020000−22220022−2−200000000000-4-42-442-40022-2400000000000-2000022−2200−2−22200000000000
χ8044-2-24-2-24411-2-2-2-2-2-200004-2-21110000000000-21100000000-4-422-422-4-4-1-12222220000-422-1-1-100000000002-1-100000000
χ8144-2-24-2-24411-2-2-2-2-2-20000-42211100000000002-1-100000000-4-422-422-4-4-1-122222200004-2-2-1-1-10000000000-21100000000
χ8244-2-24-2-2-4-411-2-2222200000−2i32i31-1-100000000000i3−i300000000-4-422-42244-1-122-2-2-2-2000002i3−2i3-11100000000000−i3i300000000
χ8344-2-24-2-2-4-411-2-22222000002i3−2i31-1-100000000000−i3i300000000-4-422-42244-1-122-2-2-2-200000−2i32i3-11100000000000i3−i300000000
χ844-4440-4-422−224-40022−2222−220000000022−22000000000000000000000-44-4-4044−2222-4400−2222−222200000000−2222000000000000000000000
χ854-4440-4-4−22224-400−2222−222200000000−2222000000000000000000000-44-4-404422−22-440022−2222−220000000022−22000000000000000000000
χ864-44-20-4222−22-2200−2222−220023−230000−2200006−6000000000000000-44-4204-2−22222-2002−2−222200−232300002−20000−66000000000000000
χ874-44-20-4222−22-2200−2222−2200−23230000−220000−66000000000000000-44-4204-2−22222-2002−2−22220023−2300002−200006−6000000000000000
χ884-44-20-42−2222-22002−2−22220023−2300002−20000−66000000000000000-44-4204-222−222-200−2222−2200−23230000−2200006−6000000000000000
χ894-44-20-42−2222-22002−2−222200−232300002−200006−6000000000000000-44-4204-222−222-200−2222−220023−230000−220000−66000000000000000
χ904-4-2402-422−22-220022−22−2200000000−22000000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000-442-40-24−22222-200−22222−2000000002−2000000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000
χ914-4-2402-422−22-220022−22−2200000000−22000000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000-442-40-24−22222-200−22222−2000000002−2000000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000
χ924-4-2402-4−2222-2200−22222−2000000002−2000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000-442-40-2422−222-20022−22−2200000000−22000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000
χ934-4-2402-4−2222-2200−22222−2000000002−2000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000-442-40-2422−222-20022−22−2200000000−22000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000
χ9488-4-4-8-4-400224400000000000-200000000000000000000000-8-84484400-2-2-4-400000000000200000000000000000000000
χ958-8-4-404442−422-200−2222−2222000000002−2000000000000000000000-88440-4-4−4242-220022−2222−2200000000−22000000000000000000000
χ968-8-4-4044−42422-20022−2222−2200000000−22000000000000000000000-88440-4-442−42-2200−2222−2222000000002−2000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.