Finite Group Databasebeta

← Group #11899682

Character table — Group #11899682

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222222244444444444444466668888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order1223344668836666681212121224242424224422666612122424242424246688121216161616666666161616162244661212242448484848161661222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111-1-1-1-1-11-11-1-1-1-1-1-11111-1-111-1-1
χ611111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-11111-1-11111-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ911-111-1111111-1-1-1-11-1-1-11111111-11-11-111-1-1-11-1-111-1-11-11-11-111-1-11-111-1-1111111-1-111-1-11-111-1-1-1-11-11-1
χ1011-111-1111111-1-1-1-11-1-1-11111111-11-11-111-1-1-11-1-111-1-11-11-11-1-1-1111-111-1-1-1-1-1-11-1-1111-1-11-1-1-11111-11-11
χ1111-111-1111111-1-1-1-11-1-1-11111111-11-1-11-1-111-11-1-111-1-11-11-11-111-1-1-11-1-1111111-1-111-1-1111-111-1-1-1-1-11-11
χ1211-111-1111111-1-1-1-11-1-1-11111111-11-1-11-1-111-11-1-111-1-11-11-11-1-1-111-11-1-111-1-1-1-1-111-1-1-1111-1-1-111111-11-1
χ1311-111-1111111-1-1-1-11-1-1-1111111-11-111-111-1-1-11-1-111-1-1-11-11-1111-1-11-111-1-1-1-1-1-1-111-1-1-111-1111-1-1111-1-11
χ1411-111-1111111-1-1-1-11-1-1-1111111-11-111-111-1-1-11-1-111-1-1-11-11-11-1-1111-111-1-11111-1-111-1-111-11-1-111-1-1-111-1
χ1511-111-1111111-1-1-1-11-1-1-1111111-11-11-11-1-111-11-1-111-1-1-11-11-1111-1-1-11-1-111-1-1-1-11-1-1111-1-1-1111-1-111-111-1
χ1611-111-1111111-1-1-1-11-1-1-1111111-11-11-11-1-111-11-1-111-1-1-11-11-11-1-111-11-1-111111111-1-111-1-1-11-1-111-1-11-1-11
χ17222222222-2-2222222-22222-2-2-2-2222200000022-2-2-2-2-2-222-2-2220000000000000000000000-2-20000000000
χ18222222222-2-2222222-22222-2-2-2-2-2-2-2-200000022-2-2-2-2-2-2-2-222-2-20000000000000000000000220000000000
χ1922222-2-222002222220-2-2-2-200002-2-22000000-2-20000002-200-222−22−200000022−2−200000000002−22−22−20000
χ2022222-2-222002222220-2-2-2-200002-2-22000000-2-20000002-200-22−22−22000000−2−2220000000000−22−22−220000
χ2122222-2-222002222220-2-2-2-20000-222-2000000-2-2000000-22002-22−22−2000000−2−22200000000002−22−2−220000
χ2222222-2-222002222220-2-2-2-20000-222-2000000-2-2000000-22002-2−22−2200000022−2−20000000000−22−222−20000
χ232222-1222-122-12-1-1-1-122-12-1-1-122222222-1-1-1-1-1-12-1-1-1-1-1-1-122-1-1000022-1-1-1-100002020-1-1-1-1-1-10000000000
χ242222-1222-122-12-1-1-1-122-12-1-1-1222222-2-21111-1-12-1-1-1-1-1-1-122-1-10000-2-211110000-20-201111-1-10000000000
χ252222-1222-122-12-1-1-1-122-12-1-1-122-2-2-2-222-1-1-1-1-1-12-1-1-1-1-111-2-211000022-1-1-1-10000-20-201111110000000000
χ262222-1222-122-12-1-1-1-122-12-1-1-122-2-2-2-2-2-21111-1-12-1-1-1-1-111-2-2110000-2-2111100002020-1-1-1-1110000000000
χ272222-1222-1-2-2-12-1-1-1-1-22-12-111-2-2222200−i3i3−i3i3-1-1-211111-1-1-2-2-1-1000000−i3i3−i3i300000000−i3i3−i3i3110000000000
χ282222-1222-1-2-2-12-1-1-1-1-22-12-111-2-2222200i3−i3i3−i3-1-1-211111-1-1-2-2-1-1000000i3−i3i3−i300000000i3−i3i3−i3110000000000
χ292222-1222-1-2-2-12-1-1-1-1-22-12-111-2-2-2-2-2-200−i3i3−i3i3-1-1-211111112211000000−i3i3−i3i300000000i3−i3i3−i3-1-10000000000
χ302222-1222-1-2-2-12-1-1-1-1-22-12-111-2-2-2-2-2-200i3−i3i3−i3-1-1-211111112211000000i3−i3i3−i300000000−i3i3−i3i3-1-10000000000
χ31222-1222-1222-1-12-1-1-12-12-1222-1-10000222222-1-1-12-1-1-1-10000002222-1-1-1-1-1-100000202000000-1-1-1-100-1-100
χ32222-1222-1222-1-12-1-1-12-12-1222-1-10000222222-1-1-12-1-1-1-1000000-2-2-2-2-1-1-1-1-1-100000-20-20000001111001100
χ33222-1222-1222-1-12-1-1-12-12-1222-1-10000-2-2-2-2-2-2-1-1-12-1-1-1-1000000222211111100000-20-2000000-1-1-1-1001100
χ34222-1222-1222-1-12-1-1-12-12-1222-1-10000-2-2-2-2-2-2-1-1-12-1-1-1-1000000-2-2-2-211111100000202000000111100-1-100
χ3522-2222-222002-2-2-2-22022-2-2000022-2-20000002-20000002200-2-22−2−2200000022−2−200000000002−2−22−220000
χ3622-2222-222002-2-2-2-22022-2-2000022-2-20000002-20000002200-2-2−222−2000000−2−2220000000000−222−22−20000
χ3722-2222-222002-2-2-2-22022-2-20000-2-2220000002-2000000-2-200222−2−22000000−2−22200000000002−2−222−20000
χ3822-2222-222002-2-2-2-22022-2-20000-2-2220000002-2000000-2-20022−222−200000022−2−20000000000−222−2−220000
χ3922-222-2222-2-22-2-2-2-222-2-222-2-2-2-22-22-2000000-2222-2-2222-2-222-20000000000000000000000-220000000000
χ4022-222-2222-2-22-2-2-2-222-2-222-2-2-2-2-22-22000000-2222-2-222-222-2-2200000000000000000000002-20000000000
χ4122-22-1-222-122-1-2111-1-2-212-1-1-1222-22-22-2-1-1111-1-21-1-111-112-2-1100002-2-1-111000020-20-1-111-110000000000
χ4222-22-1-222-122-1-2111-1-2-212-1-1-1222-22-2-2211-1-11-1-21-1-111-112-2-110000-2211-1-10000-202011-1-1-110000000000
χ4322-22-1-222-122-1-2111-1-2-212-1-1-122-22-222-2-1-1111-1-21-1-1111-1-221-100002-2-1-1110000-202011-1-11-10000000000
χ4422-22-1-222-122-1-2111-1-2-212-1-1-122-22-22-2211-1-11-1-21-1-1111-1-221-10000-2211-1-1000020-20-1-1111-10000000000
χ4522-22-1-222-1-2-2-1-2111-12-212-111-2-22-22-200−i3i3i3−i31-12-111-1-1-11-22-11000000−i3i3i3−i300000000−i3i3i3−i31-10000000000
χ4622-22-1-222-1-2-2-1-2111-12-212-111-2-22-22-200i3−i3−i3i31-12-111-1-1-11-22-11000000i3−i3−i3i300000000i3−i3−i3i31-10000000000
χ4722-22-1-222-1-2-2-1-2111-12-212-111-2-2-22-2200−i3i3i3−i31-12-111-1-11-12-21-1000000−i3i3i3−i300000000i3−i3−i3i3-110000000000
χ4822-22-1-222-1-2-2-1-2111-12-212-111-2-2-22-2200i3−i3−i3i31-12-111-1-11-12-21-1000000i3−i3−i3i300000000−i3i3i3−i3-110000000000
χ4922-2-12-22-1222-11-211-1-21-2-1222-1-100002-222-2-21-11-2-1-11100000022-2-2-11-1-1110000020-2000000-1-11100-1100
χ5022-2-12-22-1222-11-211-1-21-2-1222-1-100002-222-2-21-11-2-1-111000000-2-222-11-1-11100000-20200000011-1-1001-100
χ5122-2-12-22-1222-11-211-1-21-2-1222-1-10000-22-2-2221-11-2-1-11100000022-2-21-111-1-100000-202000000-1-111001-100
χ5222-2-12-22-1222-11-211-1-21-2-1222-1-10000-22-2-2221-11-2-1-111000000-2-2221-111-1-10000020-200000011-1-100-1100
χ534444-2-4-44-200-24-2-2-2-20-42-4200004-4-4400000022000000-22002-20000000000000000000000000000000000
χ544444-2-4-44-200-24-2-2-2-20-42-420000-444-4000000220000002-200-220000000000000000000000000000000000
χ55444-2444-24-4-4-2-24-2-2-2-4-24-24-4-4220000000000-2-22-422220000000000000000000000000000000000000000
χ56444-24-4-4-2400-2-24-2-2-202-42-4000000000000002200000000000022−2222−2200000000000000000000−22−22000000
χ57444-24-4-4-2400-2-24-2-2-202-42-40000000000000022000000000000−2222−2222000000000000000000002−22−2000000
χ58444-2-244-2-2441-2-21114-2-2-2-2-2-2-2-2000044-2-2-2-211-2-211110000000000-2-21111000000000000000000000000
χ59444-2-244-2-2441-2-21114-2-2-2-2-2-2-2-20000-4-4222211-2-21111000000000022-1-1-1-1000000000000000000000000
χ60444-2-244-2-2-4-41-2-2111-4-2-2-2-22222000000−2i32i3−2i32i31122-1-1-1-1000000000000i3−i3i3−i3000000000000000000000000
χ61444-2-244-2-2-4-41-2-2111-4-2-2-2-222220000002i3−2i32i3−2i31122-1-1-1-1000000000000−i3i3−i3i3000000000000000000000000
χ6244-44-24-44-200-2-4222-204-2-42000044-4-4000000-22000000-2-200220000000000000000000000000000000000
χ6344-44-24-44-200-2-4222-204-2-420000-4-444000000-220000002200-2-20000000000000000000000000000000000
χ6444-4-244-4-2400-22-422-20-242-400000000000000-2200000000000022−22−222200000000000000000000−222−2000000
χ6544-4-244-4-2400-22-422-20-242-400000000000000-22000000000000−222222−22000000000000000000002−2−22000000
χ6644-4-24-44-24-4-4-22-422-242-4-24-4-42200000000002-2-2422-2-20000000000000000000000000000000000000000
χ6744-4-2-2-44-2-244122-1-11-422-2-2-2-2-2-200004-4-2-222-112211-1-10000000000-2211-1-1000000000000000000000000
χ6844-4-2-2-44-2-244122-1-11-422-2-2-2-2-2-20000-4422-2-2-112211-1-100000000002-2-1-111000000000000000000000000
χ6944-4-2-2-44-2-2-4-4122-1-11422-2-22222000000−2i32i32i3−2i3-11-2-2-1-111000000000000i3−i3−i3i3000000000000000000000000
χ7044-4-2-2-44-2-2-4-4122-1-11422-2-222220000002i3−2i3−2i32i3-11-2-2-1-111000000000000−i3i3i3−i3000000000000000000000000
χ714-404400-4-422−2240000-40000022−2222−220000000000000022−220000000000000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000000000000000000
χ724-404400-4-422−2240000-40000022−2222−220000000000000022−22000000000000000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000000000000000
χ734-404400-4-4−222240000-400000−2222−222200000000000000−2222000000000000000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000000000000000000
χ744-404400-4-4−222240000-400000−2222−222200000000000000−22220000000000000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000000000000000
χ75888-4-4-8-8-4-4002-4-42220444400000000000000-2-20000000000000000000000000000000000000000000000
χ7688-8-4-48-8-4-400244-2-220-4-444000000000000002-20000000000000000000000000000000000000000000000
χ778-808-400-8442−42-40000400000−222242−4200000000000000−2222000000000000000000000000000000000000000000
χ788-808-400-84−4242-4000040000022−22−42420000000000000022−22000000000000000000000000000000000000000000
χ798-80-48004-842−42-4000040000042−42−222200000000000000−2222000000000000000000000000000000000000000000
χ808-80-48004-8−4242-40000400000−424222−220000000000000022−22000000000000000000000000000000000000000000
χ818-80-4-4004442−422006-6-200000−2222−2222000000000000002−232−320000000000000000000000000000000000000000
χ828-80-4-4004442−42200-66-200000−2222−2222000000000000002−2−32320000000000000000000000000000000000000000
χ838-80-4-40044−42422006-6-20000022−2222−2200000000000000−22−32320000000000000000000000000000000000000000
χ848-80-4-40044−4242200-66-20000022−2222−2200000000000000−2232−320000000000000000000000000000000000000000

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