Finite Group Databasebeta

← Group #11899683

Character table — Group #11899683

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112222222222244444444444444446666888888888121212121212121212121212121216161616161616161818181824242424242424243636484848487272
order1223344666688366668121212122424242424241616161622121224242424241616161616164848484848484848666666662244222448484848886661224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1111
χ511111111111111111111111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-11-1-11-1-1
χ611111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ711111111111111111111111111111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-111
χ811111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911-111-11-1-111111-1-1-11-1-1-111-1-1111111111-1-11-111-1-1-1-111-1-11111-1-1-1-11-11-111-1-11-11-11-11-111-1-11-111-1-11-1
χ1011-111-11-1-111111-1-1-11-1-1-111-1-1111111111-1-11-111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-1-11-111-1-11-1-111-11-11-11-11
χ1111-111-11-1-111111-1-1-11-1-1-111-1-111111111-11-11-111-1-1-1-111-1-11111-1-1-1-1-11-11-1-1111-11-1-11-1111-1-11-1-1-111-11
χ1211-111-11-1-111111-1-1-11-1-1-111-1-111111111-11-11-111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-11-11-111-1-1-111-111-11-11-1
χ1311-111-11-1-111111-1-1-11-1-1-111-1-11111-1-1-1-11-1-11-111-1-11111-1-1-1-1-1-111111-11-111-1-1-11-11-111-111-1-1-111-11-1-11
χ1411-111-11-1-111111-1-1-11-1-1-111-1-11111-1-1-1-11-1-11-111-1-111-1-111-1-1-1-111111-11-111-1-11-11-1-11-11-1-1111-1-1-1111-1
χ1511-111-11-1-111111-1-1-11-1-1-111-1-11111-1-1-1-1-11-11-111-1-11111-1-1-1-1-1-11111-11-11-1-111-11-111-1-1111-1-1-11-11-111-1
χ1611-111-11-1-111111-1-1-11-1-1-111-1-11111-1-1-1-1-11-11-111-1-111-1-111-1-1-1-11111-11-11-1-1111-11-11-11-1-1-1111-111-1-1-11
χ1722222222222-2-222222-22222-2-2-2-2-2-200000022-2-2-2-2-20000000000000000000000222200000000-2-2000000
χ1822222222222-2-222222-22222-2-2-2-2-2-200000022-2-2-2-2-20000000000000000000000-2-2-2-20000000022000000
χ1922222-2-2222200222220-2-2-2-200000022−2−200-2-2000002−22−22−222−2−222−2−2000000002-2-2200002−22−200000000
χ2022222-2-2222200222220-2-2-2-200000022−2−200-2-2000002−2−22−2222−2−222−2−200000000-222-20000−22−2200000000
χ2122222-2-2222200222220-2-2-2-2000000−2−22200-2-200000−222−22−2−2−222−2−22200000000-222-200002−22−200000000
χ2222222-2-2222200222220-2-2-2-2000000−2−22200-2-200000−22−22−22−2−222−2−222000000002-2-220000−22−2200000000
χ232222-122-1-1-1222-12-1-1-12-12-12-1-122-1-1222222-1-12-1-1-1-1220000-1-1-1-1-1-1-1-122-1-1-1-1-1-1000022000000000-1-1000
χ242222-122-1-1-1222-12-1-1-12-12-12-1-122-1-12222-2-2-1-12-1-1-1-1220000-1-1-1-1-1-1-1-1-2-21111110000-2-200000000011000
χ252222-122-1-1-1222-12-1-1-12-12-12-1-122-1-1-2-2-2-222-1-12-1-1-1-1-2-200001111111122-1-1-1-1-1-10000-2-200000000011000
χ262222-122-1-1-1222-12-1-1-12-12-12-1-122-1-1-2-2-2-2-2-2-1-12-1-1-1-1-2-2000011111111-2-2111111000022000000000-1-1000
χ27222-1222222-122-1-1-1-1-122-12-122-1-122000022-1-1-1-1-1-1-100222200000000-1-122-1-1-1-100000022-1-1-1-100-100-100
χ28222-1222222-122-1-1-1-1-122-12-122-1-122000022-1-1-1-1-1-1-100-2-2-2-200000000-1-122-1-1-1-1000000-2-2111100100100
χ29222-1222222-122-1-1-1-1-122-12-122-1-1220000-2-2-1-1-1-1-1-1-10022220000000011-2-21111000000-2-2-1-1-1-100100100
χ30222-1222222-122-1-1-1-1-122-12-122-1-1220000-2-2-1-1-1-1-1-1-100-2-2-2-20000000011-2-2111100000022111100-100-100
χ3122-2222-2-2-222002-2-2-22022-2-200000022−2−2002-200000−222−2−2222−2−2−2−2220000000022-2-200002−2−2200000000
χ3222-2222-2-2-222002-2-2-22022-2-200000022−2−2002-200000−22−222−222−2−2−2−22200000000-2-2220000−222−200000000
χ3322-2222-2-2-222002-2-2-22022-2-2000000−2−222002-2000002−22−2−22−2−22222−2−200000000-2-22200002−2−2200000000
χ3422-2222-2-2-222002-2-2-22022-2-2000000−2−222002-2000002−2−222−2−2−22222−2−20000000022-2-20000−222−200000000
χ3522-222-22-2-222-2-22-2-2-222-2-22222-2-2-2-2000000-222-2-22200000000000000000000002-22-200000000-22000000
χ3622-222-22-2-222-2-22-2-2-222-2-22222-2-2-2-2000000-222-2-2220000000000000000000000-22-22000000002-2000000
χ3722-22-1-2211-1222-1-211-1-21-2-121122-1-122222-21-1-2-1-111-2-20000-1-1-1-111112-2-11-1-11100002-2000000000-11000
χ3822-22-1-2211-1222-1-211-1-21-2-121122-1-12222-221-1-2-1-111-2-20000-1-1-1-11111-221-111-1-10000-220000000001-1000
χ3922-22-1-2211-1222-1-211-1-21-2-121122-1-1-2-2-2-22-21-1-2-1-1112200001111-1-1-1-12-2-11-1-1110000-220000000001-1000
χ4022-22-1-2211-1222-1-211-1-21-2-121122-1-1-2-2-2-2-221-1-2-1-1112200001111-1-1-1-1-221-111-1-100002-2000000000-11000
χ4122-2-12-22-2-22-122-1111-1-2-212-1-2-2-1-12200002-21-11-1-1110022-2-200000000-112-2-1-1110000002-2-1-11100-100100
χ4222-2-12-22-2-22-122-1111-1-2-212-1-2-2-1-12200002-21-11-1-11100-2-22200000000-112-2-1-111000000-2211-1-100100-100
χ4322-2-12-22-2-22-122-1111-1-2-212-1-2-2-1-1220000-221-11-1-1110022-2-2000000001-1-2211-1-1000000-22-1-11100100-100
χ4422-2-12-22-2-22-122-1111-1-2-212-1-2-2-1-1220000-221-11-1-11100-2-222000000001-1-2211-1-10000002-211-1-100-100100
χ454444-244-2-2-24-4-4-24-2-2-2-4-24-2422-4-422000000-2-2-42222000000000000000000000000000000000000000000
χ464444-2-4-4-2-2-2400-24-2-2-202-42-40000002222−22−2200220000022−220000−2−222−2−2220000000000000000000000000000
χ474444-2-4-4-2-2-2400-24-2-2-202-42-4000000−22−222222002200000−2222000022−2−222−2−20000000000000000000000000000
χ48444-2444444-2-4-4-2-2-2-2-2-44-24-2-4-422-4-4000000-2-222222000000000000000000000000000000000000000000
χ49444-24-4-4444-200-2-2-2-2-20-42-4200000000000022000000022−2222−22000000000000000000000000−22−2200000000
χ50444-24-4-4444-200-2-2-2-2-20-42-42000000000000220000000−2222−22220000000000000000000000002−22−200000000
χ51444-2-244-2-2-2-2441-21114-2-2-2-2-2-2-2-2-2-200004411-2111100000000000000-2-2-2-2111100000000000000000000
χ52444-2-244-2-2-2-2441-21114-2-2-2-2-2-2-2-2-2-20000-4-411-21111000000000000002222-1-1-1-100000000000000000000
χ53444-2-244-2-2-2-2-4-41-2111-4-2-2-2-2222222000000112-1-1-1-10000000000000000003-33-300000000000000000000
χ54444-2-244-2-2-2-2-4-41-2111-4-2-2-2-2222222000000112-1-1-1-1000000000000000000-33-3300000000000000000000
χ5544-44-24-422-2400-2-422-20-242-40000002222−22−2200-2200000−22220000−2−22222−2−20000000000000000000000000000
χ5644-44-24-422-2400-2-422-20-242-4000000−22−22222200-220000022−22000022−2−2−2−2220000000000000000000000000000
χ5744-44-2-4422-24-4-4-2-422-242-4-24-2-2-4-4220000002-2422-2-2000000000000000000000000000000000000000000
χ5844-4-244-4-4-44-200-2222-204-2-42000000000000-22000000022−22−2222000000000000000000000000−222−200000000
χ5944-4-244-4-4-44-200-2222-204-2-42000000000000-220000000−222222−220000000000000000000000002−2−2200000000
χ6044-4-24-44-4-44-2-4-4-2222-24-424-24422-4-40000002-2-222-2-2000000000000000000000000000000000000000000
χ6144-4-2-2-4422-2-24412-1-11-422-2-222-2-2-2-200004-4-11211-1-100000000000000-22-2211-1-100000000000000000000
χ6244-4-2-2-4422-2-24412-1-11-422-2-222-2-2-2-20000-44-11211-1-1000000000000002-22-2-1-11100000000000000000000
χ6344-4-2-2-4422-2-2-4-412-1-11422-2-2-2-22222000000-11-2-1-1110000000000000000003-3-3300000000000000000000
χ6444-4-2-2-4422-2-2-4-412-1-11422-2-2-2-22222000000-11-2-1-111000000000000000000-333-300000000000000000000
χ654-40440000-4-422−224000-4000000022−2222−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430000022−2200000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000000000000000000000000000
χ664-40440000-4-422−224000-4000000022−2222−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430000022−22000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000000000000000000000000000000
χ674-40440000-4-4−22224000-40000000−2222−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000−2222000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000000000000000000000000000
χ684-40440000-4-4−22224000-40000000−2222−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000−222200000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000000000000000000000000000000
χ694-404-200−2i32i32-422−22-20−2i32i3200000i6−i622−22−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000−22i6−i6000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000000000000000000000000000
χ704-404-200−2i32i32-422−22-20−2i32i3200000i6−i622−22−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000−22i6−i6000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000000000000000000000000000
χ714-404-200−2i32i32-4−2222-20−2i32i3200000−i6i6−22222−22ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000002−2−i6i6000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000000000000000000000000000
χ724-404-200−2i32i32-4−2222-20−2i32i3200000−i6i6−22222−2−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000002−2−i6i6000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000000000000000000000000000
χ734-404-2002i3−2i32-422−22-202i3−2i3200000−i6i622−22−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000−22−i6i6000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000000000000000000000000000
χ744-404-2002i3−2i32-422−22-202i3−2i3200000−i6i622−22−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000−22−i6i6000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000000000000000000000000000
χ754-404-2002i3−2i32-4−2222-202i3−2i3200000i6−i6−22222−22ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000002−2i6−i6000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000000000000000000000000000
χ764-404-2002i3−2i32-4−2222-202i3−2i3200000i6−i6−22222−2−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000002−2i6−i6000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000000000000000000000000000
χ77888-4-4-8-8-4-4-4-4002-422204444000000000000-2-200000000000000000000000000000000000000000000000
χ7888-8-4-48-844-4-40024-2-220-4-4440000000000002-200000000000000000000000000000000000000000000000
χ798-80-480000-8442−42-400040000000−222242−42000000000−222200000000000000000000000000000000000000000000
χ808-80-480000-84−4242-40004000000022−22−424200000000022−2200000000000000000000000000000000000000000000
χ818-80-4-400−4i34i34442−42202i3−2i3-2000002i6−2i6−2222−22220000000002−2−i6i6000000000000000000000000000000000000000000
χ828-80-4-400−4i34i344−4242202i3−2i3-200000−2i62i622−2222−22000000000−22i6−i6000000000000000000000000000000000000000000
χ838-80-4-4004i3−4i34442−4220−2i32i3-200000−2i62i6−2222−22220000000002−2i6−i6000000000000000000000000000000000000000000
χ848-80-4-4004i3−4i344−424220−2i32i3-2000002i6−2i622−2222−22000000000−22−i6i6000000000000000000000000000000000000000000

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