Finite Group Databasebeta

← Group #11899694

Character table — Group #11899694

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222222222224444444444444444444444444444488888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order12222334444668836666666888121212121212121212122424242424242424666121212242424242424242424242424161616162222224466666666666612121212161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-1-11-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1111-11-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1
χ5111-1-1111-1-111111111-1-1-1-111-1-111-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-1-1-1111111-111-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1
χ6111-1-1111-1-111111111-1-1-1-111-1-111-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ7111-1-1111-1-111111111-1-1-1-111-1-111-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111111-1-1-1-1-1-111-1-111-1-11111
χ8111-1-1111-1-111111111-1-1-1-111-1-111-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1111111-1-111-1-1-1-11111
χ911-11-111-11-1111111-1-111-1-11-11-1-1-111-1-1111111111111-11-1-11-1-1-1-1-11111-1-1-1-111111-111-11-1-111-1-11111-1-111-1-1-1-1-1-111-1-1
χ1011-11-111-11-1111111-1-111-1-11-11-1-1-111-1-1111111111111-11-1-11-1-1-1-1-11111-1-1-1-11111-11-1-11-111-1-111-1-1-1-111-1-11111-1-111-1-1
χ1111-11-111-11-1111111-1-111-1-11-11-1-1-111-1-1111111111111-11-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-1-1111-1-111-1-111-1-1-1-11111-1-111
χ1211-11-111-11-1111111-1-111-1-11-11-1-1-111-1-1111111111111-11-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-111-1-1-111-1-111-1-11111-1-111-1-111
χ1311-1-1111-1-11111111-1-1-1-1111-1-11-1-1-1-111111111111111-1-11-1-11-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ1411-1-1111-1-11111111-1-1-1-1111-1-11-1-1-1-111111111111111-1-11-1-11-1-1-1-1-1-1-1-111111111-111-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ1511-1-1111-1-11111111-1-1-1-1111-1-11-1-1-1-111111111111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1111-111-1-1-1-1-1-1111111-1-11111-1-1
χ1611-1-1111-1-11111111-1-1-1-1111-1-11-1-1-1-111111111111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-11-1-1111111-1-1-1-1-1-1111111-1-1
χ172222222222222-2-222222222-2-2-22222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ18222222-122222-122-12-12-12-1-12222-12-12-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-1000000022202000000-1-1-1-1-1-100-1-1000000
χ19222222-122222-122-12-12-12-1-12222-12-12-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-10000000-2-2-20-20000001111110011000000
χ20222222-122222-1-2-2-12-12-12-1-1-2-2-22-12-12-12-1-1-1-2-2111111-1-1-1-1-1-1-2111-2111-2111000000000000000000−i3i3−i3i3−i3i300−i3i3000000
χ21222222-122222-1-2-2-12-12-12-1-1-2-2-22-12-12-12-1-1-1-2-2111111-1-1-1-1-1-1-2111-2111-2111000000000000000000i3−i3i3−i3i3−i300i3−i3000000
χ2222222-122222-1222-1-12-12-12-1222-12-12-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1000022200020-1-1-1-1-1-1000000-1-100000000
χ2322222-122222-1222-1-12-12-12-1222-12-12-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-10000-2-2-2000-201111110000001100000000
χ2422222-122222-12-2-2-1-12-12-12-1-2-2-2-12-12-12-12-1-111-2-21111-1-1-1-1-1-11-2111-2111-211000000000000−i3i3−i3i3−i3i3000000−i3i300000000
χ2522222-122222-12-2-2-1-12-12-12-1-2-2-2-12-12-12-12-1-111-2-21111-1-1-1-1-1-11-2111-2111-211000000000000i3−i3i3−i3i3−i3000000i3−i300000000
χ262222-222-2-22-2220022222-2-22000-2-2-2-222-2-2-2-20000000022-2-2-2200000000000022−2−20000000000000000000000002−22−22−2
χ272222-222-2-22-2220022222-2-22000-2-2-2-222-2-2-2-20000000022-2-2-22000000000000−2−222000000000000000000000000−22−22−22
χ28222-2222-22-2-22200222-2-2222000-2-222-2-2-2-2-2-2000000002-22-22-200000000000022−2−20000000000000000000000002−2−22−22
χ29222-2222-22-2-22200222-2-2222000-2-222-2-2-2-2-2-2000000002-22-22-2000000000000−2−222000000000000000000000000−222−22−2
χ30222-2-2222-2-2222-2-2222-2-2-2-22-22222-2-2-2-22222-2-2-2-2-2-2-2-22-2-22-2-2-2-2-2-2222222220000000000000000000000000000000000
χ31222-2-22-12-2-222-122-12-1-21-21-12-2-22-1-21-212-1-1-122-1-1-1-1-1-1-111-1112-1-1-1-2111-2111000000022-20-2000000-1-1-1-1110011000000
χ32222-2-22-12-2-222-122-12-1-21-21-12-2-22-1-21-212-1-1-122-1-1-1-1-1-1-111-1112-1-1-1-2111-21110000000-2-22020000001111-1-100-1-1000000
χ33222-2-22-12-2-222-1-2-2-12-1-21-21-1-2222-1-21-212-1-1-1-2-2111111-111-111-21112-1-1-12-1-1-1000000000000000000−i3i3−i3i3i3−i300i3−i3000000
χ34222-2-22-12-2-222-1-2-2-12-1-21-21-1-2222-1-21-212-1-1-1-2-2111111-111-111-21112-1-1-12-1-1-1000000000000000000i3−i3i3−i3−i3i300−i3i3000000
χ35222-2-2-122-2-22-1222-1-121-21-2-12-2-2-121-21-2-12-1-1-1-122-1-1-1-1-111-111-12-1-11-2111-211000022-2000-20-1-1-1-1110000001100000000
χ36222-2-2-122-2-22-1222-1-121-21-2-12-2-2-121-21-2-12-1-1-1-122-1-1-1-1-111-111-12-1-11-2111-2110000-2-22000201111-1-1000000-1-100000000
χ37222-2-2-122-2-22-12-2-2-1-121-21-2-1-222-121-21-2-12-1-111-2-21111-111-1111-211-12-1-1-12-1-1000000000000−i3i3−i3i3i3−i3000000i3−i300000000
χ38222-2-2-122-2-22-12-2-2-1-121-21-2-1-222-121-21-2-12-1-111-2-21111-111-1111-211-12-1-1-12-1-1000000000000i3−i3i3−i3−i3i3000000−i3i300000000
χ3922-222222-2-2-222002-2-22222200022-2-2-2-2-2-2-2-200000000-2222-2-200000000000022−2−2000000000000000000000000−222−2−22
χ4022-222222-2-2-222002-2-22222200022-2-2-2-2-2-2-2-200000000-2222-2-2000000000000−2−2220000000000000000000000002−2−222−2
χ4122-22-222-22-2222-2-22-2-222-2-222-22-2-222-2-22222-2-2-2-2-2-2-2-2-22-2-22-22222-2-2-2-222220000000000000000000000000000000000
χ4222-22-22-1-22-222-122-1-212-1-21-1-22-2-212-1-212-1-1-122-1-1-1-1-1-11-111-11-21112-1-1-1-211100000002-220-2000000-1-111-1-10011000000
χ4322-22-22-1-22-222-122-1-212-1-21-1-22-2-212-1-212-1-1-122-1-1-1-1-1-11-111-11-21112-1-1-1-21110000000-22-20200000011-1-11100-1-1000000
χ4422-22-22-1-22-222-1-2-2-1-212-1-21-12-22-212-1-212-1-1-1-2-21111111-111-112-1-1-1-21112-1-1-1000000000000000000−i3i3i3−i3−i3i300i3−i3000000
χ4522-22-22-1-22-222-1-2-2-1-212-1-21-12-22-212-1-212-1-1-1-2-21111111-111-112-1-1-1-21112-1-1-1000000000000000000i3−i3−i3i3i3−i300−i3i3000000
χ4622-22-2-12-22-22-1222-11-2-121-2-1-22-21-2-121-2-12-1-1-1-122-1-1-1-11-111-111-211-12-1-11-21100002-22000-20-1-111-1-10000001100000000
χ4722-22-2-12-22-22-1222-11-2-121-2-1-22-21-2-121-2-12-1-1-1-122-1-1-1-11-111-111-211-12-1-11-2110000-22-20002011-1-111000000-1-100000000
χ4822-22-2-12-22-22-12-2-2-11-2-121-2-12-221-2-121-2-12-1-111-2-211111-111-11-12-1-11-211-12-1-1000000000000−i3i3i3−i3−i3i3000000i3−i300000000
χ4922-22-2-12-22-22-12-2-2-11-2-121-2-12-221-2-121-2-12-1-111-2-211111-111-11-12-1-11-211-12-1-1000000000000i3−i3−i3i3i3−i3000000−i3i300000000
χ5022-2-2222-2-22222-2-22-2-2-2-222222-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-22-2-2222222222-2-2-2-20000000000000000000000000000000000
χ5122-2-222-1-2-2222-122-1-21-212-1-1-2-22-21-212-12-1-1-122-1-1-1-1-1-111-111-1-2111-21112-1-1-100000002-2-202000000-1-1111100-1-1000000
χ5222-2-222-1-2-2222-122-1-21-212-1-1-2-22-21-212-12-1-1-122-1-1-1-1-1-111-111-1-2111-21112-1-1-10000000-2220-200000011-1-1-1-10011000000
χ5322-2-222-1-2-2222-1-2-2-1-21-212-1-122-2-21-212-12-1-1-1-2-211111111-111-12-1-1-12-1-1-1-2111000000000000000000−i3i3i3−i3i3−i300−i3i3000000
χ5422-2-222-1-2-2222-1-2-2-1-21-212-1-122-2-21-212-12-1-1-1-2-211111111-111-12-1-1-12-1-1-1-2111000000000000000000i3−i3−i3i3−i3i300i3−i3000000
χ5522-2-22-12-2-222-1222-11-21-2-12-1-2-221-21-2-12-12-1-1-1-122-1-1-1-111-111-11-2111-211-12-1-100002-2-200020-1-11111000000-1-100000000
χ5622-2-22-12-2-222-1222-11-21-2-12-1-2-221-21-2-12-12-1-1-1-122-1-1-1-111-111-11-2111-211-12-1-10000-222000-2011-1-1-1-10000001100000000
χ5722-2-22-12-2-222-12-2-2-11-21-2-12-122-21-21-2-12-12-1-111-2-2111111-111-1-12-1-1-12-1-11-211000000000000−i3i3i3−i3i3−i3000000−i3i300000000
χ5822-2-22-12-2-222-12-2-2-11-21-2-12-122-21-21-2-12-12-1-111-2-2111111-111-1-12-1-1-12-1-11-211000000000000i3−i3−i3i3−i3i3000000i3−i300000000
χ5922-2-2-222222-222002-2-2-2-2-2-22000222222-2-2-2-200000000-2-2-222200000000000022−2−2000000000000000000000000−22−222−2
χ6022-2-2-222222-222002-2-2-2-2-2-22000222222-2-2-2-200000000-2-2-2222000000000000−2−2220000000000000000000000002−22−2−22
χ6144444-2-24444-2-2441-2-2-2-2-2-21444-2-2-2-2-2-2-2-211-2-2-2-21111111111-2-211-2-211-2-2110000000000000000000000000000000000
χ6244444-2-24444-2-2-4-41-2-2-2-2-2-21-4-4-4-2-2-2-2-2-2-2-2112222-1-1-1-111111122-1-122-1-122-1-10000000000000000000000000000000000
χ634444-44-2-4-44-44-200-24-24-2-42-2000-42-424-2-422200000000-2-2222-20000000000000000000000000000000000000000000000
χ644444-4-24-4-44-4-2400-2-24-242-4-20002-42-4-242-42200000000-2-2222-20000000000000000000000000000000000000000000000
χ654444-4-2-2-4-44-4-2-2001-2-2-2-22210002222-2-222-1-100003i3i−3i−3i11-1-1-11003i−3i003i−3i003i−3i0000000000000000000000000000000000
χ664444-4-2-2-4-44-4-2-2001-2-2-2-22210002222-2-222-1-10000−3i−3i3i3i11-1-1-1100−3i3i00−3i3i00−3i3i0000000000000000000000000000000000
χ67444-444-2-44-4-44-200-24-2-424-2-2000-424-2-42-422200000000-22-22-220000000000000000000000000000000000000000000000
χ68444-44-24-44-4-4-2400-2-242-4-24-20002-4-242-42-42200000000-22-22-220000000000000000000000000000000000000000000000
χ69444-44-2-2-44-4-4-2-2001-2-222-2-2100022-2-22222-1-100003i3i−3i−3i1-11-11-1003i−3i00−3i3i00−3i3i0000000000000000000000000000000000
χ70444-44-2-2-44-4-4-2-2001-2-222-2-2100022-2-22222-1-10000−3i−3i3i3i1-11-11-100−3i3i003i−3i003i−3i0000000000000000000000000000000000
χ71444-4-4-2-24-4-44-2-2441-2-2222214-4-4-2-22222-2-211-2-2-2-211111-1-11-1-1-2-21122-1-122-1-10000000000000000000000000000000000
χ72444-4-4-2-24-4-44-2-2-4-41-2-222221-444-2-22222-2-2112222-1-1-1-11-1-11-1-122-1-1-2-211-2-2110000000000000000000000000000000000
χ7344-4444-24-4-4-44-200-2-424-24-2-20004-2-42-42-4222000000002-2-2-2220000000000000000000000000000000000000000000000
χ7444-444-244-4-4-4-2400-22-4-24-24-2000-242-42-42-422000000002-2-2-2220000000000000000000000000000000000000000000000
χ7544-444-2-24-4-4-4-2-200122-2-2-2-21000-2-2222222-1-100003i3i−3i−3i-1111-1-100−3i3i003i−3i00−3i3i0000000000000000000000000000000000
χ7644-444-2-24-4-4-4-2-200122-2-2-2-21000-2-2222222-1-10000−3i−3i3i3i-1111-1-1003i−3i00−3i3i003i−3i0000000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-244122-2-2221-44-422-2-222-2-211-2-2-2-21111-11-1-11-122-1-1-2-21122-1-10000000000000000000000000000000000
χ7844-44-4-2-2-44-44-2-2-4-4122-2-22214-4422-2-222-2-2112222-1-1-1-1-11-1-11-1-2-21122-1-1-2-2110000000000000000000000000000000000
χ7944-4-44-2-2-4-444-2-24412222-2-21-4-442222-2-2-2-211-2-2-2-21111-1-11-1-1122-1-122-1-1-2-2110000000000000000000000000000000000
χ8044-4-44-2-2-4-444-2-2-4-412222-2-2144-42222-2-2-2-2112222-1-1-1-1-1-11-1-11-2-211-2-21122-1-10000000000000000000000000000000000
χ8144-4-4-44-2444-44-200-2-42-42-42-20004-24-24-2-422200000000222-2-2-20000000000000000000000000000000000000000000000
χ8244-4-4-4-24444-4-2400-22-42-42-4-2000-24-24-242-42200000000222-2-2-20000000000000000000000000000000000000000000000
χ8344-4-4-4-2-2444-4-2-20012222221000-2-2-2-2-2-222-1-100003i3i−3i−3i-1-1-111100−3i3i00−3i3i003i−3i0000000000000000000000000000000000
χ8444-4-4-4-2-2444-4-2-20012222221000-2-2-2-2-2-222-1-10000−3i−3i3i3i-1-1-1111003i−3i003i−3i00−3i3i0000000000000000000000000000000000
χ854-4000440000-4-422−224000000-4000000000000022−2222−2222−2222−22000000000000000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43000000000000000000000000000000
χ864-4000440000-4-422−224000000-4000000000000022−2222−2222−2222−220000000000000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43000000000000000000000000000000
χ874-4000440000-4-4−22224000000-40000000000000−2222−2222−2222−22220000000000000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000000000000000000000000000000
χ884-4000440000-4-4−22224000000-40000000000000−2222−2222−2222−2222000000000000000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000000000000000000000000000000
χ898-80008-40000-8442−42-40000004000000000000042−42−2222−2222−22220000000000000000000000000000000000000000000000000000
χ908-80008-40000-84−4242-400000040000000000000−424222−2222−2222−220000000000000000000000000000000000000000000000000000
χ918-8000-4800004-842−42-400000040000000000000−222242−42−2222−22220000000000000000000000000000000000000000000000000000
χ928-8000-4800004-8−4242-40000004000000000000022−22−424222−2222−220000000000000000000000000000000000000000000000000000
χ938-8000-4-400004442−422000000-2000000000006i−6i−2222−2222−4ζ10−2ζ14−4ζ26−2ζ464ζ10+2ζ14+4ζ26+2ζ462ζ10+4ζ14+2ζ26+4ζ46−2ζ10−4ζ14−2ζ26−4ζ460000000000000000000000000000000000000000000000000000
χ948-8000-4-400004442−422000000-200000000000−6i6i−2222−22222ζ10+4ζ14+2ζ26+4ζ46−2ζ10−4ζ14−2ζ26−4ζ46−4ζ10−2ζ14−4ζ26−2ζ464ζ10+2ζ14+4ζ26+2ζ460000000000000000000000000000000000000000000000000000
χ958-8000-4-4000044−42422000000-2000000000006i−6i22−2222−224ζ10+2ζ14+4ζ26+2ζ46−4ζ10−2ζ14−4ζ26−2ζ46−2ζ10−4ζ14−2ζ26−4ζ462ζ10+4ζ14+2ζ26+4ζ460000000000000000000000000000000000000000000000000000
χ968-8000-4-4000044−42422000000-200000000000−6i6i22−2222−22−2ζ10−4ζ14−2ζ26−4ζ462ζ10+4ζ14+2ζ26+4ζ464ζ10+2ζ14+4ζ26+2ζ46−4ζ10−2ζ14−4ζ26−2ζ460000000000000000000000000000000000000000000000000000

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