Finite Group Databasebeta

← Group #11798454

Character table — Group #11798454

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size112222222224444444444444448888888888888812121212121216161616161624242424242424242424242424242436363636484848144
order1223344668836666681212121224242424226666121224242424242424661212666666246681212161624244848484816161616824244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11
χ511111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-11111-1-1-1-1-1-1-11
χ811111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-11111111-1
χ9222222222-2-2222222-22222-2-2-2-200000022-2-2-2-2-2-22222220000000000-20000-2-2000000000000
χ10222222222-2-2222222-22222-2-2-2-200000022-2-2-2-2-2-2-2-2-2-2-2-200000000002000022000000000000
χ112222-1222-122-12-1-1-1-12-12-12-1-12222-1-1-1-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-122-1-12-1-100-1-1000000000000
χ122222-1222-122-12-1-1-1-12-12-12-1-12222-1-1-1-1-1-12-1-1-1-1-1-2-2111122-1-1-1-1-2-211-2110011000000000000
χ132222-1222-122-12-1-1-1-12-12-12-1-122-2-21111-1-12-1-1-1-1-122-1-1-1-1-2-21111-2-21121100-1-1000000000000
χ142222-1222-122-12-1-1-1-12-12-12-1-122-2-21111-1-12-1-1-1-1-1-2-21111-2-2111122-1-1-2-1-10011000000000000
χ152222-1222-1-2-2-12-1-1-1-1-2-12-1211-2-200−i3−i3i3i3-1-1-21111122-1-1-1-100−i3−i3i3i300−i3i3-2−i3i30011000000000000
χ162222-1222-1-2-2-12-1-1-1-1-2-12-1211-2-200−i3−i3i3i3-1-1-211111-2-2111100−i3−i3i3i300i3−i32i3−i300-1-1000000000000
χ172222-1222-1-2-2-12-1-1-1-1-2-12-1211-2-200i3i3−i3−i3-1-1-21111122-1-1-1-100i3i3−i3−i300i3−i3-2i3−i30011000000000000
χ182222-1222-1-2-2-12-1-1-1-1-2-12-1211-2-200i3i3−i3−i3-1-1-211111-2-2111100i3i3−i3−i300−i3i32−i3i300-1-1000000000000
χ19222-1222-1222-1-12-1-1-122-12-122-1-1222222-1-1-12-1-1-1-1000000-1-1-1-1-1-100000002200-1-1-1-100002-1-10
χ20222-1222-1222-1-12-1-1-122-12-122-1-1222222-1-1-12-1-1-1-1000000-1-1-1-1-1-10000000-2-20011110000-2110
χ21222-1222-1222-1-12-1-1-122-12-122-1-1-2-2-2-2-2-2-1-1-12-1-1-1-100000011111100000002200-1-1-1-10000-2110
χ22222-1222-1222-1-12-1-1-122-12-122-1-1-2-2-2-2-2-2-1-1-12-1-1-1-10000001111110000000-2-200111100002-1-10
χ2322-2222-222222-2-2-2-22-2-222-22222000000-22-2-222-2-20000000000002-2220-2-20000000000000000
χ2422-2222-222222-2-2-2-22-2-222-22222000000-22-2-222-2-2000000000000-22-2-20220000000000000000
χ2522-2222-222-2-22-2-2-2-222-222-2-2-2-2-22-22-22-2-2222-2-2220000002-22-22-200000000000000000000000
χ2622-2222-222-2-22-2-2-2-222-222-2-2-2-2-2-22-22-22-2222-2-222000000-22-22-2200000000000000000000000
χ2722-222-2222002-2-2-2-2202-2-2200000000002-20000002-222-2-200000000000002−20022−2−222−2−20000
χ2822-222-2222002-2-2-2-2202-2-2200000000002-20000002-222-2-20000000000000−2200−2−222−2−2220000
χ2922-222-2222002-2-2-2-2202-2-2200000000002-2000000-22-2-22200000000000002−20022−2−2−2−2220000
χ3022-222-2222002-2-2-2-2202-2-2200000000002-2000000-22-2-2220000000000000−2200−2−22222−2−20000
χ3122-22-12-22-122-1-2111-1-212-1-2-1-12200−i3i3i3−i31-1-21-1-11100−i3i3−i3i300−i3i3i3−i32-2-1-101100−i3i3000000000000
χ3222-22-12-22-122-1-2111-1-212-1-2-1-12200−i3i3i3−i31-1-21-1-11100i3−i3i3−i300−i3i3i3−i3-22110-1-100i3−i3000000000000
χ3322-22-12-22-122-1-2111-1-212-1-2-1-12200i3−i3−i3i31-1-21-1-11100−i3i3−i3i300i3−i3−i3i3-22110-1-100−i3i3000000000000
χ3422-22-12-22-122-1-2111-1-212-1-2-1-12200i3−i3−i3i31-1-21-1-11100i3−i3i3−i300i3−i3−i3i32-2-1-101100i3−i3000000000000
χ3522-22-12-22-1-2-2-1-2111-1212-1-211-2-22-2-11-111-12-111-1-100−i3i3−i3i32-2-11-1100−i3i30i3−i300i3−i3000000000000
χ3622-22-12-22-1-2-2-1-2111-1212-1-211-2-22-2-11-111-12-111-1-100i3−i3i3−i32-2-11-1100i3−i30−i3i300−i3i3000000000000
χ3722-22-12-22-1-2-2-1-2111-1212-1-211-2-2-221-11-11-12-111-1-100−i3i3−i3i3-221-11-100i3−i30−i3i300i3−i3000000000000
χ3822-22-12-22-1-2-2-1-2111-1212-1-211-2-2-221-11-11-12-111-1-100i3−i3i3−i3-221-11-100−i3i30i3−i300−i3i3000000000000
χ3922-2-122-2-12-2-2-11-211-12-2-121-2-2112-22-22-21-1-1211-1-1000000-11-11-11000000000003−33−3000003−30
χ4022-2-122-2-12-2-2-11-211-12-2-121-2-2112-22-22-21-1-1211-1-1000000-11-11-1100000000000−33−3300000−330
χ4122-2-122-2-12-2-2-11-211-12-2-121-2-211-22-22-221-1-1211-1-10000001-11-11-1000000000003−33−300000−330
χ4222-2-122-2-12-2-2-11-211-12-2-121-2-211-22-22-221-1-1211-1-10000001-11-11-100000000000−33−33000003−30
χ4344444-4-444004444440-4-4-4-40000000000-4-400000000000000000000000000000000000000000
χ444444-2-4-44-200-24-2-2-2-202-42-400000000002200000000−2i32i32i3−2i300000000000000000000000000000
χ454444-2-4-44-200-24-2-2-2-202-42-4000000000022000000002i3−2i3−2i32i300000000000000000000000000000
χ46444-2444-24-4-4-2-24-2-2-2-44-24-2-4-422000000-2-22-4222200000000000000000000000000000000000
χ47444-24-4-4-2400-2-24-2-2-20-42-42000000000022000000000000000000000000000006−6−6600000000
χ48444-24-4-4-2400-2-24-2-2-20-42-4200000000002200000000000000000000000000000−666−600000000
χ49444-2-244-2-2441-2-21114-2-2-2-2-2-2-2-244-2-2-2-211-2-21111000000-2-2111100000000000000000000000
χ50444-2-244-2-2441-2-21114-2-2-2-2-2-2-2-2-4-4222211-2-2111100000022-1-1-1-100000000000000000000000
χ51444-2-244-2-2-4-41-2-2111-4-2-2-2-2222200−2i3−2i32i32i31122-1-1-1-100000000i3i3−i3−i300000000000000000000000
χ52444-2-244-2-2-4-41-2-2111-4-2-2-2-22222002i32i3−2i3−2i31122-1-1-1-100000000−i3−i3i3i300000000000000000000000
χ5344-44-2-444-200-2-4222-20-2-4240000000000-220000004-4-2-22200000000000000000000000000000
χ5444-44-2-444-200-2-4222-20-2-4240000000000-22000000-4422-2-200000000000000000000000000000
χ5544-4-244-4-2444-22-422-2-4-4-24244-2-20000002-22-4-2-22200000000000000000000000000000000000
χ5644-4-24-44-2400-22-422-2042-4-20000000000-22000000000000000000000000022−2200−2−22200000000
χ5744-4-24-44-2400-22-422-2042-4-20000000000-220000000000000000000000000−22220022−2−200000000
χ5844-4-2-24-4-2-244122-1-11-42-2-22-2-2-2-200−2i32i32i3−2i3-112211-1-100000000i3−i3−i3i300000000000000000000000
χ5944-4-2-24-4-2-244122-1-11-42-2-22-2-2-2-2002i3−2i3−2i32i3-112211-1-100000000−i3i3i3−i300000000000000000000000
χ6044-4-2-24-4-2-2-4-4122-1-1142-2-2222224-4-22-22-11-2-2-1-111000000-221-11-100000000000000000000000
χ6144-4-2-24-4-2-2-4-4122-1-1142-2-222222-442-22-2-11-2-2-1-1110000002-2-11-1100000000000000000000000
χ624-404400-4-422−2240000-40000022−2222−22000000000022−2200000000000000000000000000000ζ11+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+ζ470000
χ634-404400-4-422−2240000-40000022−2222−22000000000022−2200000000000000000000000000000−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−ζ470000
χ644-404400-4-4−222240000-400000−2222−22220000000000−222200000000000000000000000000000ζ11+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+ζ470000
χ654-404400-4-4−222240000-400000−2222−22220000000000−222200000000000000000000000000000−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−ζ470000
χ66888-4-4-8-8-4-4002-4-4222044440000000000-2-200000000000000000000000000000000000000000
χ6788-8-4-4-88-4-400244-2-220-444-400000000002-200000000000000000000000000000000000000000
χ688-808-400-8442−42-40000400000−222242−420000000000−22220000000000000000000000000000000000000
χ698-808-400-84−4242-4000040000022−22−4242000000000022−220000000000000000000000000000000000000
χ708-80-48004-842−42-4000040000042−42−22220000000000−22220000000000000000000000000000000000000
χ718-80-48004-8−4242-40000400000−424222−22000000000022−220000000000000000000000000000000000000
χ728-80-4-4004442−422006-6-200000−2222−222200000000002−232−3200000000000000000000000000000000000
χ738-80-4-4004442−42200-66-200000−2222−222200000000002−2−323200000000000000000000000000000000000
χ748-80-4-40044−42422006-6-20000022−2222−220000000000−22−323200000000000000000000000000000000000
χ758-80-4-40044−4242200-66-20000022−2222−220000000000−2232−3200000000000000000000000000000000000

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