Finite Group Databasebeta

← Group #11899737

Character table — Group #11899737

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222222244444444444444466668888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order12233446688366681212121212122424242422442466612121224242424242466881212161616166661212121616161622441212121224244848484816166624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1
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
χ711111111111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ911-111-1111111-1-11-1-1-1-1-11111111-11-11-111-1-1-11-1-111-1-11-11-11-111-1-1111-1-1-111111-11-111-1-11-111-1-1-1-11-1-11
χ1011-111-1111111-1-11-1-1-1-1-11111111-11-11-111-1-1-11-1-111-1-11-11-11-1-1-111111-1-1-1-1-1-1-1-111-111-1-11-1-1-11111-111-1
χ1111-111-1111111-1-11-1-1-1-1-11111111-11-1-11-1-1-1111-1-111-1-11-11-11-111-1-1-1-1-11111111-11-11-1-1111-111-1-1-1-1-111-1
χ1211-111-1111111-1-11-1-1-1-1-11111111-11-1-11-1-1-1111-1-111-1-11-11-11-1-1-111-1-1-1111-1-1-1-11-1-11-1-1111-1-1-111111-1-11
χ1311-111-1111111-1-11-1-1-1-1-1111111-11-111-111-1-1-11-1-111-1-1-11-11-1111-1-1111-1-1-1-1-1-1-11-1-11-1-111-1111-1-1111-11-1
χ1411-111-1111111-1-11-1-1-1-1-1111111-11-111-111-1-1-11-1-111-1-1-11-11-11-1-111111-1-1-11111-11-11-1-111-11-1-111-1-1-11-11
χ1511-111-1111111-1-11-1-1-1-1-1111111-11-11-11-1-1-1111-1-111-1-1-11-11-1111-1-1-1-1-1111-1-1-1-1-111-111-1-1-1111-1-111-11-11
χ1611-111-1111111-1-11-1-1-1-1-1111111-11-11-11-1-1-1111-1-111-1-1-11-11-11-1-111-1-1-111111111-11-111-1-1-11-1-111-1-11-11-1
χ17222222222-2-22222-2222222-2-2-2-2222200002002-2-2-2-2-2-222-2-2220000000000000000000000-2-20000000000
χ18222222222-2-22222-2222222-2-2-2-2-2-2-2-200002002-2-2-2-2-2-2-2-222-2-20000000000000000000000220000000000
χ1922222-2-2220022220-2-2-2-2-2-200002-2-220000200-20000002-200-222−22−200000022−2−200000000002−22−22−20000
χ2022222-2-2220022220-2-2-2-2-2-200002-2-220000200-20000002-200-22−22−22000000−2−2220000000000−22−22−220000
χ2122222-2-2220022220-2-2-2-2-2-20000-222-20000200-2000000-22002-22−22−2000000−2−22200000000002−22−2−220000
χ2222222-2-2220022220-2-2-2-2-2-20000-222-20000200-2000000-22002-2−22−2200000022−2−20000000000−22−222−20000
χ232222-122-1222-12-1-12-12-1-1-1222-1-100002222-122-1-12-1-1-1-10000002222-1-1-1-1-1-100002200000000-1-1-1-100-1-100
χ242222-122-1222-12-1-12-12-1-1-1222-1-100002222-122-1-12-1-1-1-1000000-2-2-2-2-1-1-1-1-1-10000-2-2000000001111001100
χ252222-122-1222-12-1-12-12-1-1-1222-1-10000-2-2-2-2-1-2-2-1-12-1-1-1-100000022221111110000-2-200000000-1-1-1-1001100
χ262222-122-1222-12-1-12-12-1-1-1222-1-10000-2-2-2-2-1-2-2-1-12-1-1-1-1000000-2-2-2-211111100002200000000111100-1-100
χ27222-12222-122-1-12-122-1-1-12-1-1-122222222-1-1-1-1-1-12-1-1-1-1-1-1-122-1-100002-1-12-1-100000022-1-1-1-1-1-10000000000
χ28222-12222-122-1-12-122-1-1-12-1-1-1222222-2-211-111-12-1-1-1-1-1-1-122-1-10000-211-211000000-2-21111-1-10000000000
χ29222-12222-122-1-12-122-1-1-12-1-1-122-2-2-2-222-1-1-1-1-1-12-1-1-1-1-111-2-21100002-1-12-1-1000000-2-21111110000000000
χ30222-12222-122-1-12-122-1-1-12-1-1-122-2-2-2-2-2-211-111-12-1-1-1-1-111-2-2110000-211-21100000022-1-1-1-1110000000000
χ31222-12222-1-2-2-1-12-1-22-1-1-12-111-2-2222200−i3i3-1−i3i3-1-211111-1-1-2-2-1-100000−i3i30−i3i300000000−i3i3−i3i3110000000000
χ32222-12222-1-2-2-1-12-1-22-1-1-12-111-2-2222200i3−i3-1i3−i3-1-211111-1-1-2-2-1-100000i3−i30i3−i300000000i3−i3i3−i3110000000000
χ33222-12222-1-2-2-1-12-1-22-1-1-12-111-2-2-2-2-2-200−i3i3-1−i3i3-1-21111111221100000−i3i30−i3i300000000i3−i3i3−i3-1-10000000000
χ34222-12222-1-2-2-1-12-1-22-1-1-12-111-2-2-2-2-2-200i3−i3-1i3−i3-1-21111111221100000i3−i30i3−i300000000−i3i3−i3i3-1-10000000000
χ3522-2222-222002-2-2202222-2-2000022-2-20000-200-20000002200-2-22−2−2200000022−2−200000000002−2−22−220000
χ3622-2222-222002-2-2202222-2-2000022-2-20000-200-20000002200-2-2−222−2000000−2−2220000000000−222−22−20000
χ3722-2222-222002-2-2202222-2-20000-2-2220000-200-2000000-2-200222−2−22000000−2−22200000000002−2−222−20000
χ3822-2222-222002-2-2202222-2-20000-2-2220000-200-2000000-2-20022−222−200000022−2−20000000000−222−2−220000
χ3922-222-2222-2-22-2-222-2-2-2-222-2-2-2-22-22-20000-200222-2-2222-2-222-20000000000000000000000-220000000000
χ4022-222-2222-2-22-2-222-2-2-2-222-2-2-2-2-22-220000-200222-2-222-222-2-2200000000000000000000002-20000000000
χ4122-22-1-22-1222-1-21-1-21-211-1222-1-100002-2221-2-2-11-2-1-11100000022-2-2-1-1-111100002-200000000-1-11100-1100
χ4222-22-1-22-1222-1-21-1-21-211-1222-1-100002-2221-2-2-11-2-1-111000000-2-222-1-1-11110000-220000000011-1-1001-100
χ4322-22-1-22-1222-1-21-1-21-211-1222-1-10000-22-2-2122-11-2-1-11100000022-2-2111-1-1-10000-2200000000-1-111001-100
χ4422-22-1-22-1222-1-21-1-21-211-1222-1-10000-22-2-2122-11-2-1-111000000-2-222111-1-1-100002-20000000011-1-100-1100
χ4522-2-12-222-122-11-2-1-2-21112-1-1-1222-22-22-2-1-1111-1-21-1-111-112-2-1100002-1-1-2110000002-2-1-111-110000000000
χ4622-2-12-222-122-11-2-1-2-21112-1-1-1222-22-2-22111-1-1-1-21-1-111-112-2-110000-2112-1-1000000-2211-1-1-110000000000
χ4722-2-12-222-122-11-2-1-2-21112-1-1-122-22-222-2-1-1111-1-21-1-1111-1-221-100002-1-1-211000000-2211-1-11-10000000000
χ4822-2-12-222-122-11-2-1-2-21112-1-1-122-22-22-22111-1-1-1-21-1-1111-1-221-10000-2112-1-10000002-2-1-1111-10000000000
χ4922-2-12-222-1-2-2-11-2-12-21112-111-2-22-22-200−i3i31i3−i3-12-111-1-1-11-22-1100000−i3i30i3−i300000000−i3i3i3−i31-10000000000
χ5022-2-12-222-1-2-2-11-2-12-21112-111-2-22-22-200i3−i31−i3i3-12-111-1-1-11-22-1100000i3−i30−i3i300000000i3−i3−i3i31-10000000000
χ5122-2-12-222-1-2-2-11-2-12-21112-111-2-2-22-2200−i3i31i3−i3-12-111-1-11-12-21-100000−i3i30i3−i300000000i3−i3−i3i3-110000000000
χ5222-2-12-222-1-2-2-11-2-12-21112-111-2-2-22-2200i3−i31−i3i3-12-111-1-11-12-21-100000i3−i30−i3i300000000−i3i3i3−i3-110000000000
χ534444-244-24-4-4-24-2-2-4-24-2-2-24-4-42200000000-200-22-422220000000000000000000000000000000000000000
χ544444-2-4-4-2400-24-2-202-4222-4000000000000-200200000000000022−2222−2200000000000000000000−22−22000000
χ554444-2-4-4-2400-24-2-202-4222-4000000000000-2002000000000000−2222−2222000000000000000000002−22−2000000
χ56444-24-4-44-200-2-24-20-4222-4200004-4-440000-2002000000-22002-20000000000000000000000000000000000
χ57444-24-4-44-200-2-24-20-4222-420000-444-40000-20020000002-200-220000000000000000000000000000000000
χ58444-2-244-2-2441-2-214-2-211-2-2-2-2-2-2000044-2-21-2-21-2-211110000000000-211-211000000000000000000000000
χ59444-2-244-2-2441-2-214-2-211-2-2-2-2-2-20000-4-4221221-2-2111100000000002-1-12-1-1000000000000000000000000
χ60444-2-244-2-2-4-41-2-21-4-2-211-2-22222000000−2i32i31−2i32i3122-1-1-1-100000000000i3−i30i3−i3000000000000000000000000
χ61444-2-244-2-2-4-41-2-21-4-2-211-2-222220000002i3−2i312i3−2i3122-1-1-1-100000000000−i3i30−i3i3000000000000000000000000
χ6244-44-24-4-2400-2-42-20-24-2-22-4000000000000200200000000000022−22−222200000000000000000000−222−2000000
χ6344-44-24-4-2400-2-42-20-24-2-22-40000000000002002000000000000−222222−22000000000000000000002−2−22000000
χ6444-44-2-44-24-4-4-2-42-242-422-24-4-42200000000200-2-2422-2-20000000000000000000000000000000000000000
χ6544-4-244-44-200-22-4-204-2-2-2-42000044-4-400002002000000-2-200220000000000000000000000000000000000
χ6644-4-244-44-200-22-4-204-2-2-2-420000-4-444000020020000002200-2-20000000000000000000000000000000000
χ6744-4-2-2-44-2-2441221-422-1-1-2-2-2-2-2-200004-4-2-2-12212211-1-10000000000-2112-1-1000000000000000000000000
χ6844-4-2-2-44-2-2441221-422-1-1-2-2-2-2-2-20000-4422-1-2-212211-1-100000000002-1-1-211000000000000000000000000
χ6944-4-2-2-44-2-2-4-41221422-1-1-2-22222000000−2i32i3-12i3−2i31-2-2-1-11100000000000i3−i30−i3i3000000000000000000000000
χ7044-4-2-2-44-2-2-4-41221422-1-1-2-222220000002i3−2i3-1−2i32i31-2-2-1-11100000000000−i3i30i3−i3000000000000000000000000
χ714-404400-4-422−22400-4000000022−2222−220000000000000022−220000000000000000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4700000000000000000000
χ724-404400-4-422−22400-4000000022−2222−220000000000000022−22000000000000000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ4700000000000000000000
χ734-404400-4-4−2222400-40000000−2222−222200000000000000−2222000000000000000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ4300000000000000000000
χ744-404400-4-4−2222400-40000000−2222−222200000000000000−22220000000000000000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4300000000000000000000
χ75888-4-4-8-8-4-4002-4-42044-2-244000000000000200-20000000000000000000000000000000000000000000000
χ7688-8-4-48-8-4-40024420-4-42244000000000000-200-20000000000000000000000000000000000000000000000
χ778-808-4004-842−42-4004000000042−42−222200000000000000−2222000000000000000000000000000000000000000000
χ788-808-4004-8−4242-40040000000−424222−220000000000000022−22000000000000000000000000000000000000000000
χ798-80-4800-8442−42-40040000000−222242−4200000000000000−2222000000000000000000000000000000000000000000
χ808-80-4800-84−4242-4004000000022−22−42420000000000000022−22000000000000000000000000000000000000000000
χ818-80-4-4004442−42200-20006i−6i00−2222−2222000000000000002−2−3i23i20000000000000000000000000000000000000000
χ828-80-4-4004442−42200-2000−6i6i00−2222−2222000000000000002−23i2−3i20000000000000000000000000000000000000000
χ838-80-4-40044−4242200-20006i−6i0022−2222−2200000000000000−223i2−3i20000000000000000000000000000000000000000
χ848-80-4-40044−4242200-2000−6i6i0022−2222−2200000000000000−22−3i23i20000000000000000000000000000000000000000

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