Finite Group Databasebeta

← Group #11798440

Character table — Group #11798440

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222222222444444444444444488888881212121212121212121212121616161616161616162424242424242424242436364848484872144
order12233446666883666681212121224242424242412122424242424161616164848484848484848412121212121212122224161648484848246661288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11-11
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111-1-11-1-11-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-11
χ922222222222-2-222222-22222-2-2-2-2-2-222-2-2-2-2-20000000000000000000000000000000220000-20
χ1022222222222-2-222222-22222-2-2-2-2-2-222-2-2-2-2-20000000000000000000000000000000-2-2000020
χ112222-122-1-1-1222-12-1-1-12-12-12-1-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-12200000000000-1-1000
χ122222-122-1-1-1222-12-1-1-12-12-12-1-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-21111-2-20000000000011000
χ132222-122-1-1-1222-12-1-1-12-12-12-1-122-1-1-1-12-1-1-1-1-2-2-2-2111111112-1-122-1-1-1-1-2-20000000000011000
χ142222-122-1-1-1222-12-1-1-12-12-12-1-122-1-1-1-12-1-1-1-1-2-2-2-211111111-211-2-211112200000000000-1-1000
χ15222-1222222-122-1-1-1-1-122-12-122-1-122-1-1-1-1-1-1-1000000000000222-1-1-1-1-1-1002222-1-1-1-100-100-100
χ16222-1222222-122-1-1-1-1-122-12-122-1-122-1-1-1-1-1-1-1000000000000222-1-1-1-1-1-100-2-2-2-2111100100100
χ17222-1222222-122-1-1-1-1-122-12-122-1-122-1-1-1-1-1-1-1000000000000-2-2-21111110022-2-2111100-100-100
χ18222-1222222-122-1-1-1-1-122-12-122-1-122-1-1-1-1-1-1-1000000000000-2-2-211111100-2-222-1-1-1-100100100
χ1922-2222-2-2-222222-2-2-22-2-2-2222222-2-2-22-222-2-2000000000000000000000002-200000000200-200
χ2022-2222-2-2-222222-2-2-22-2-2-2222222-2-2-22-222-2-200000000000000000000000-2200000000-200200
χ2122-2222-2-2-222-2-22-2-2-222-2-222-2-2-2-222-222-2-2220000000000000000000002-2000000000002-2000
χ2222-2222-2-2-222-2-22-2-2-222-2-222-2-2-2-222-222-2-222000000000000000000000-2200000000000-22000
χ2322-222-22-2-222002-2-2-22022-2-20000002-20000022−2−22222−2−2−2−200000000000002−222−2−22-2000000
χ2422-222-22-2-222002-2-2-22022-2-20000002-20000022−2−22222−2−2−2−20000000000000−22−2−222-22000000
χ2522-222-22-2-222002-2-2-22022-2-20000002-200000−2−222−2−2−2−2222200000000000002−222−2−2-22000000
χ2622-222-22-2-222002-2-2-22022-2-20000002-200000−2−222−2−2−2−222220000000000000−22−2−2222-2000000
χ2722-22-12-211-12-2-2-1-211-121-2-1211-2-2-1-11-1211-1-10000−i3−i3i3i3−i3−i3i3i30−i3i300−i3−i3i3i32-200000000000-11000
χ2822-22-12-211-12-2-2-1-211-121-2-1211-2-2-1-11-1211-1-10000−i3−i3i3i3−i3−i3i3i30i3−i300i3i3−i3−i3-22000000000001-1000
χ2922-22-12-211-12-2-2-1-211-121-2-1211-2-2-1-11-1211-1-10000i3i3−i3−i3i3i3−i3−i30−i3i300−i3−i3i3i3-22000000000001-1000
χ3022-22-12-211-12-2-2-1-211-121-2-1211-2-2-1-11-1211-1-10000i3i3−i3−i3i3i3−i3−i30i3−i300i3i3−i3−i32-200000000000-11000
χ3122-2-122-2-2-22-122-1111-1-2-212-122-1-1-2-21-11-1-111000000000000000−i3i3−i3i3−i3i3002-200−i3i3−i3i300-100100
χ3222-2-122-2-2-22-122-1111-1-2-212-122-1-1-2-21-11-1-111000000000000000−i3i3−i3i3−i3i300-2200i3−i3i3−i300100-100
χ3322-2-122-2-2-22-122-1111-1-2-212-122-1-1-2-21-11-1-111000000000000000i3−i3i3−i3i3−i3002-200i3−i3i3−i300-100100
χ3422-2-122-2-2-22-122-1111-1-2-212-122-1-1-2-21-11-1-111000000000000000i3−i3i3−i3i3−i300-2200−i3i3−i3i300100-100
χ3544444-4-4444400444440-4-4-4-4000000-4-400000000000000000000000000000000000000000000
χ364444-244-2-2-24-4-4-24-2-2-2-4-24-2422-4-422-2-2-42222000000000000000000000000000000000000000
χ374444-2-4-4-2-2-2400-24-2-2-202-42-400000022000000000i6i6−i6−i6−i6−i6i6i6000000000000000000000000000
χ384444-2-4-4-2-2-2400-24-2-2-202-42-400000022000000000−i6−i6i6i6i6i6−i6−i6000000000000000000000000000
χ39444-2444444-2-4-4-2-2-2-2-2-44-24-2-4-422-4-4-2-222222000000000000000000000000000000000000000
χ40444-24-4-4444-200-2-2-2-2-20-42-420000002200000000000000000000000000000000i6−i6−i6i600000000
χ41444-24-4-4444-200-2-2-2-2-20-42-420000002200000000000000000000000000000000−i6i6i6−i600000000
χ42444-2-244-2-2-2-2441-21114-2-2-2-2-2-2-2-2-2-211-211110000000000004-2-2-2-21111000000000000000000
χ43444-2-244-2-2-2-2441-21114-2-2-2-2-2-2-2-2-2-211-21111000000000000-42222-1-1-1-1000000000000000000
χ44444-2-244-2-2-2-2-4-41-2111-4-2-2-2-2222222112-1-1-1-1000000000000000003-3-33000000000000000000
χ45444-2-244-2-2-2-2-4-41-2111-4-2-2-2-2222222112-1-1-1-100000000000000000-333-3000000000000000000
χ4644-44-24-422-2444-2-422-2-42-4-24-2-244222-2-4-2-222000000000000000000000000000000000000000
χ4744-44-2-4422-2400-2-422-20-242-4000000-22000002222−22−22−2−2−2−22222000000000000000000000000000
χ4844-44-2-4422-2400-2-422-20-242-4000000-2200000−22−2222222222−2−2−2−2000000000000000000000000000
χ4944-4-244-4-4-44-2-4-4-2222-24-424-2-4-422442-2-222-2-2000000000000000000000000000000000000000
χ5044-4-24-44-4-44-200-2222-204-2-42000000-2200000000000000000000000000000022−22−2−22200000000
χ5144-4-24-44-4-44-200-2222-204-2-42000000-22000000000000000000000000000000−222222−2−200000000
χ5244-4-2-24-422-2-24412-1-11-422-2-2-2-2-2-222-11211-1-1000000000000000−2i32i3i3−i3i3−i3000000000000000000
χ5344-4-2-24-422-2-24412-1-11-422-2-2-2-2-2-222-11211-1-10000000000000002i3−2i3−i3i3−i3i3000000000000000000
χ5444-4-2-24-422-2-2-4-412-1-11422-2-22222-2-2-11-2-1-1110000000000000−2i32i300i3i3−i3−i3000000000000000000
χ5544-4-2-24-422-2-2-4-412-1-11422-2-22222-2-2-11-2-1-11100000000000002i3−2i300−i3−i3i3i3000000000000000000
χ564-40440000-4-422−224000-40000022−2222−220000022−2200ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47000000000000000000000000000
χ574-40440000-4-422−224000-40000022−2222−220000022−2200−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47000000000000000000000000000
χ584-40440000-4-4−22224000-400000−2222−222200000−222200ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47000000000000000000000000000
χ594-40440000-4-4−22224000-400000−2222−222200000−222200−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47000000000000000000000000000
χ604-404-200−2i32i32-422−22-20−2i32i3200000−2222−22i6−i6000−22i6−i6ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47−ζ11+ζ25−ζ29+ζ31ζ11−ζ25+ζ29−ζ31−ζ13+ζ41−ζ43+ζ47ζ13−ζ41+ζ43−ζ47−ζ13−ζ41−ζ43−ζ47ζ13+ζ41+ζ43+ζ47−ζ11−ζ25−ζ29−ζ31ζ11+ζ25+ζ29+ζ31000000000000000000000000000
χ614-404-200−2i32i32-422−22-20−2i32i3200000−2222−22i6−i6000−22i6−i6−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47ζ11−ζ25+ζ29−ζ31−ζ11+ζ25−ζ29+ζ31ζ13−ζ41+ζ43−ζ47−ζ13+ζ41−ζ43+ζ47ζ13+ζ41+ζ43+ζ47−ζ13−ζ41−ζ43−ζ47ζ11+ζ25+ζ29+ζ31−ζ11−ζ25−ζ29−ζ31000000000000000000000000000
χ624-404-200−2i32i32-4−2222-20−2i32i32000002−2−2222−i6i60002−2−i6i6ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ13−ζ41−ζ43−ζ47ζ13+ζ41+ζ43+ζ47−ζ11−ζ25−ζ29−ζ31ζ11+ζ25+ζ29+ζ31ζ11−ζ25+ζ29−ζ31−ζ11+ζ25−ζ29+ζ31ζ13−ζ41+ζ43−ζ47−ζ13+ζ41−ζ43+ζ47000000000000000000000000000
χ634-404-200−2i32i32-4−2222-20−2i32i32000002−2−2222−i6i60002−2−i6i6−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ13+ζ41+ζ43+ζ47−ζ13−ζ41−ζ43−ζ47ζ11+ζ25+ζ29+ζ31−ζ11−ζ25−ζ29−ζ31−ζ11+ζ25−ζ29+ζ31ζ11−ζ25+ζ29−ζ31−ζ13+ζ41−ζ43+ζ47ζ13−ζ41+ζ43−ζ47000000000000000000000000000
χ644-404-2002i3−2i32-422−22-202i3−2i3200000−2222−22−i6i6000−22−i6i6ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47−ζ13+ζ41−ζ43+ζ47ζ13−ζ41+ζ43−ζ47−ζ11+ζ25−ζ29+ζ31ζ11−ζ25+ζ29−ζ31−ζ11−ζ25−ζ29−ζ31ζ11+ζ25+ζ29+ζ31−ζ13−ζ41−ζ43−ζ47ζ13+ζ41+ζ43+ζ47000000000000000000000000000
χ654-404-2002i3−2i32-422−22-202i3−2i3200000−2222−22−i6i6000−22−i6i6−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47ζ13−ζ41+ζ43−ζ47−ζ13+ζ41−ζ43+ζ47ζ11−ζ25+ζ29−ζ31−ζ11+ζ25−ζ29+ζ31ζ11+ζ25+ζ29+ζ31−ζ11−ζ25−ζ29−ζ31ζ13+ζ41+ζ43+ζ47−ζ13−ζ41−ζ43−ζ47000000000000000000000000000
χ664-404-2002i3−2i32-4−2222-202i3−2i32000002−2−2222i6−i60002−2i6−i6ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ25−ζ29−ζ31ζ11+ζ25+ζ29+ζ31−ζ13−ζ41−ζ43−ζ47ζ13+ζ41+ζ43+ζ47ζ13−ζ41+ζ43−ζ47−ζ13+ζ41−ζ43+ζ47ζ11−ζ25+ζ29−ζ31−ζ11+ζ25−ζ29+ζ31000000000000000000000000000
χ674-404-2002i3−2i32-4−2222-202i3−2i32000002−2−2222i6−i60002−2i6−i6−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ25+ζ29+ζ31−ζ11−ζ25−ζ29−ζ31ζ13+ζ41+ζ43+ζ47−ζ13−ζ41−ζ43−ζ47−ζ13+ζ41−ζ43+ζ47ζ13−ζ41+ζ43−ζ47−ζ11+ζ25−ζ29+ζ31ζ11−ζ25+ζ29−ζ31000000000000000000000000000
χ68888-4-4-8-8-4-4-4-4002-422204444000000-2-200000000000000000000000000000000000000000000
χ6988-8-4-4-8844-4-40024-2-220-4-4440000002-200000000000000000000000000000000000000000000
χ708-80-480000-8442−42-400040000042−42−222200000−222200000000000000000000000000000000000000000
χ718-80-480000-84−4242-4000400000−424222−220000022−2200000000000000000000000000000000000000000
χ728-80-4-400−4i34i34442−42202i3−2i3-200000−2222−22222i6−2i60002−2−i6i6000000000000000000000000000000000000000
χ738-80-4-400−4i34i344−4242202i3−2i3-20000022−2222−22−2i62i6000−22i6−i6000000000000000000000000000000000000000
χ748-80-4-4004i3−4i34442−4220−2i32i3-200000−2222−2222−2i62i60002−2i6−i6000000000000000000000000000000000000000
χ758-80-4-4004i3−4i344−424220−2i32i3-20000022−2222−222i6−2i6000−22−i6i6000000000000000000000000000000000000000

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