Finite Group Databasebeta

← Group #11789672

Character table — Group #11789672

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order122222334444666666366666668888121212121212121212121212661212242424242424242424242424242424248888224466668888121212122424242424242424444488
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
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ511111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ711111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1
χ811111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-11111-1-1
χ911-1-11-11111-1-1-1-1-111-111-11-1-1-1111-1-11-1-1-1-1-111111-11-11-111111111-1-1-1-1-1-1-1-1ii−i−i1-1i−i11-1-11-1i−iii−i−i11-1-1ii−i−ii−ii−ii−i
χ1011-1-11-11111-1-1-1-1-111-111-11-1-1-1111-1-11-1-1-1-1-111111-11-11-111111111-1-1-1-1-1-1-1-1ii−i−i-11−ii-1-111-11−ii−i−iii-1-111−i−iiii−ii−ii−i
χ1111-1-11-11111-1-1-1-1-111-111-11-1-1-1111-1-11-1-1-1-1-111111-11-11-111111111-1-1-1-1-1-1-1-1−i−iii1-1−ii11-1-11-1−ii−i−iii11-1-1−i−iii−ii−ii−ii
χ1211-1-11-11111-1-1-1-1-111-111-11-1-1-1111-1-11-1-1-1-1-111111-11-11-111111111-1-1-1-1-1-1-1-1−i−iii-11i−i-1-111-11i−iii−i−i-1-111ii−i−i−ii−ii−ii
χ1311-1-11-11111-1-1-1-1-111-111-11-1-1-11-1-1111-1-1-1-1-111111-11-11-1-1-1-1-1-1-1-1-111111111ii−i−i1-1i−i11-1-1-11−iiii−i−i-1-111−i−iii−ii−iii−i
χ1411-1-11-11111-1-1-1-1-111-111-11-1-1-11-1-1111-1-1-1-1-111111-11-11-1-1-1-1-1-1-1-1-111111111ii−i−i-11−ii-1-1111-1i−i−i−iii11-1-1ii−i−i−ii−iii−i
χ1511-1-11-11111-1-1-1-1-111-111-11-1-1-11-1-1111-1-1-1-1-111111-11-11-1-1-1-1-1-1-1-1-111111111−i−iii1-1−ii11-1-1-11i−i−i−iii-1-111ii−i−ii−ii−i−ii
χ1611-1-11-11111-1-1-1-1-111-111-11-1-1-11-1-1111-1-1-1-1-111111-11-11-1-1-1-1-1-1-1-1-111111111−i−iii-11i−i-1-1111-1−iiii−i−i11-1-1−i−iiii−ii−i−ii
χ1722222222-2-2-2-2222222222222222i−2i2i−2i-2-2-2-2-2-2-2-2-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000
χ1822222222-2-2-2-222222222222222−2i2i−2i2i-2-2-2-2-2-2-2-2-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000
χ192222222-122222-1-12-12-122-1-1-1-1-1222222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100002200-1-1-1-122000000-1-1-1-10000000000
χ202222222-122222-1-12-12-122-1-1-1-1-1222222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000-2-2001111-2-200000011110000000000
χ212222222-122222-1-12-12-122-1-1-1-1-1-2-2-2-222-1-1-1-12-1-1-1-12-1-1-1-1-2111-2111-2111-211100002200-1-1-1-1-2-200000011110000000000
χ222222222-122222-1-12-12-122-1-1-1-1-1-2-2-2-222-1-1-1-12-1-1-1-12-1-1-1-1-2111-2111-2111-21110000-2-200111122000000-1-1-1-10000000000
χ232222222-1-2-2-2-22-1-12-12-122-1-1-1-1-12i−2i2i−2i-2-21111-21111-2-1-1112i−i−i−i−2iiii2i−i−i−i−2iiii00000000−i3i3−i3i3000000003−33−30000000000
χ242222222-1-2-2-2-22-1-12-12-122-1-1-1-1-12i−2i2i−2i-2-21111-21111-2-1-1112i−i−i−i−2iiii2i−i−i−i−2iiii00000000i3−i3i3−i300000000−33−330000000000
χ252222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1−2i2i−2i2i-2-21111-21111-2-1-111−2iiii2i−i−i−i−2iiii2i−i−i−i00000000−i3i3−i3i300000000−33−330000000000
χ262222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1−2i2i−2i2i-2-21111-21111-2-1-111−2iiii2i−i−i−i−2iiii2i−i−i−i00000000i3−i3i3−i3000000003−33−30000000000
χ27222222-122222-122-12-1-1-1-122-1-1-12222-1-122-1-1-12-1-12-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-10000002200000022-1-1-1-10000-1-1-1-1000000
χ28222222-122222-122-12-1-1-1-122-1-1-12222-1-122-1-1-12-1-12-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1000000-2-2000000-2-2111100001111000000
χ29222222-122222-122-12-1-1-1-122-1-1-1-2-2-2-2-1-122-1-1-12-1-12-1-1-1-1-11-2111-2111-2111-21100000022000000-2-2-1-1-1-100001111000000
χ30222222-122222-122-12-1-1-1-122-1-1-1-2-2-2-2-1-122-1-1-12-1-12-1-1-1-1-11-2111-2111-2111-211000000-2-20000002211110000-1-1-1-1000000
χ31222222-12-2-2-2-2-122-12-1-1-1-122-1-1-12i−2i2i−2i11-2-2111-211-21-1-111−i2i−i−ii−2iii−i2i−i−ii−2iii0000000000000000−i3i3−i3i300003−33−3000000
χ32222222-12-2-2-2-2-122-12-1-1-1-122-1-1-12i−2i2i−2i11-2-2111-211-21-1-111−i2i−i−ii−2iii−i2i−i−ii−2iii0000000000000000i3−i3i3−i30000−33−33000000
χ33222222-12-2-2-2-2-122-12-1-1-1-122-1-1-1−2i2i−2i2i11-2-2111-211-21-1-111i−2iii−i2i−i−ii−2iii−i2i−i−i0000000000000000−i3i3−i3i30000−33−33000000
χ34222222-12-2-2-2-2-122-12-1-1-1-122-1-1-1−2i2i−2i2i11-2-2111-211-21-1-111i−2iii−i2i−i−ii−2iii−i2i−i−i0000000000000000i3−i3i3−i300003−33−3000000
χ352222-2-2222-2-222222222-2-2-2-22220000-222-2222222-2-2-2-2-2-2000000000000000022220000000000000000000000000000-2-2
χ362222-2-2222-2-222222222-2-2-2-22220000-222-2222222-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000000022
χ372222-2-222-222-22222222-2-2-2-222200002-2-22-2-2-2-2-2-222-2-2220000000000000000000000000000000000000000000022-2-200
χ382222-2-222-222-22222222-2-2-2-222200002-2-22-2-2-2-2-2-222-2-22200000000000000000000000000000000000000000000-2-22200
χ3922-2-22-222-2-222-2-2-222-222-22-2-2-222i−2i−2i2i-222222-2-2-2-2-222-2-222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000
χ4022-2-22-222-2-222-2-2-222-222-22-2-2-22−2i2i2i−2i-222222-2-2-2-2-222-2-22−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000
χ4122-2-22-22-122-2-2-2112-1-2-12-2-1111-122-2-22-211112-1-1-1-1-2-11-112-1-1-12-1-1-1-2111-211100002-200-1-1112-2000000-1-1110000000000
χ4222-2-22-22-122-2-2-2112-1-2-12-2-1111-122-2-22-211112-1-1-1-1-2-11-112-1-1-12-1-1-1-2111-21110000-220011-1-1-2200000011-1-10000000000
χ4322-2-22-22-122-2-2-2112-1-2-12-2-1111-1-2-2222-211112-1-1-1-1-2-11-11-2111-21112-1-1-12-1-1-100002-200-1-111-2200000011-1-10000000000
χ4422-2-22-22-122-2-2-2112-1-2-12-2-1111-1-2-2222-211112-1-1-1-1-2-11-11-2111-21112-1-1-12-1-1-10000-220011-1-12-2000000-1-1110000000000
χ4522-2-22-22-1-2-222-2112-1-2-12-2-1111-12i−2i−2i2i-22-1-1-1-1-211112-111-12i−i−i−i−2iiii−2iiii2i−i−i−i00000000−i3i3i3−i3000000003−3−330000000000
χ4622-2-22-22-1-2-222-2112-1-2-12-2-1111-12i−2i−2i2i-22-1-1-1-1-211112-111-12i−i−i−i−2iiii−2iiii2i−i−i−i00000000i3−i3−i3i300000000−333−30000000000
χ4722-2-22-22-1-2-222-2112-1-2-12-2-1111-1−2i2i2i−2i-22-1-1-1-1-211112-111-1−2iiii2i−i−i−i2i−i−i−i−2iiii00000000−i3i3i3−i300000000−333−30000000000
χ4822-2-22-22-1-2-222-2112-1-2-12-2-1111-1−2i2i2i−2i-22-1-1-1-1-211112-111-1−2iiii2i−i−i−i2i−i−i−i−2iiii00000000i3−i3−i3i3000000003−3−330000000000
χ4922-2-22-2-1222-2-21-2-2-121-1-112-211-122-2-2-11-2-211-12-1-121-11-11-12-1-1-12-1-11-2111-2110000002i−2i0000002i−2i−i−iii0000−i−iii000000
χ5022-2-22-2-1222-2-21-2-2-121-1-112-211-122-2-2-11-2-211-12-1-121-11-11-12-1-1-12-1-11-2111-211000000−2i2i000000−2i2iii−i−i0000ii−i−i000000
χ5122-2-22-2-1222-2-21-2-2-121-1-112-211-1-2-222-11-2-211-12-1-121-11-111-2111-211-12-1-1-12-1-10000002i−2i000000−2i2i−i−iii0000ii−i−i000000
χ5222-2-22-2-1222-2-21-2-2-121-1-112-211-1-2-222-11-2-211-12-1-121-11-111-2111-211-12-1-1-12-1-1000000−2i2i0000002i−2iii−i−i0000−i−iii000000
χ5322-2-22-2-12-2-2221-2-2-121-1-112-211-12i−2i−2i2i1-122-1-11-211-2-1-111-1−i2i−i−ii−2iiii−2iii−i2i−i−i00000000000000003−3−330000i3−i3−i3i3000000
χ5422-2-22-2-12-2-2221-2-2-121-1-112-211-12i−2i−2i2i1-122-1-11-211-2-1-111-1−i2i−i−ii−2iiii−2iii−i2i−i−i0000000000000000−333−30000−i3i3i3−i3000000
χ5522-2-22-2-12-2-2221-2-2-121-1-112-211-1−2i2i2i−2i1-122-1-11-211-2-1-111-1i−2iii−i2i−i−i−i2i−i−ii−2iii00000000000000003−3−330000−i3i3i3−i3000000
χ5622-2-22-2-12-2-2221-2-2-121-1-112-211-1−2i2i2i−2i1-122-1-11-211-2-1-111-1i−2iii−i2i−i−i−i2i−i−ii−2iii0000000000000000−333−30000i3−i3−i3i3000000
χ5722-2-2-22222-22-2-2-2-222-22-22-22-2-220000-2-2-22-2-22222-22-22-2200000000000000002i2i−2i−2i0000000000000000000000000000−2i2i
χ5822-2-2-22222-22-2-2-2-222-22-22-22-2-220000-2-2-22-2-22222-22-22-220000000000000000−2i−2i2i2i00000000000000000000000000002i−2i
χ5922-2-2-2222-22-22-2-2-222-22-22-22-2-220000222-222-2-2-2-22-2-222-2000000000000000000000000000000000000000000002i−2i−2i2i00
χ6022-2-2-2222-22-22-2-2-222-22-22-22-2-220000222-222-2-2-2-22-2-222-200000000000000000000000000000000000000000000−2i2i2i−2i00
χ61444444-2-24444-2-2-2-2-2-21-2-2-2-21114444-2-2-2-211-2-211-2-21111-2-211-2-211-2-211-2-2110000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-2111-4-4-4-4-2-2-2-211-2-211-2-2111122-1-122-1-122-1-122-1-10000000000000000000000000000000000
χ63444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21114i−4i4i−4i2222-1-122-1-12211-1-1−2i−2iii2i2i−i−i−2i−2iii2i2i−i−i0000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111−4i4i−4i4i2222-1-122-1-12211-1-12i2i−i−i−2i−2iii2i2i−i−i−2i−2iii0000000000000000000000000000000000
χ654444-4-44-24-4-444-2-24-24-2-4-422-2-2-20000-44-22-2-24-2-2-22-4222200000000000000000000000000000000000000000000000000
χ664444-4-44-2-444-44-2-24-24-2-4-422-2-2-200004-42-222-4222-2422-2-200000000000000000000000000000000000000000000000000
χ674444-4-4-244-4-44-244-24-2-222-4-4-2-2-200002-24-4-2-2-24-2-2-42222200000000000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-244-24-2-222-4-4-2-2-20000-22-44222-4224-222-2-200000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-21222211100002-2-2211-2-21122-1-1-1-1003-3003-3003-3003-30000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-21222211100002-2-2211-2-21122-1-1-1-100-3300-3300-3300-330000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-2122221110000-222-2-1-122-1-1-2-2-1-111003i−3i00−3i3i003i−3i00−3i3i0000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-2122221110000-222-2-1-122-1-1-2-2-1-11100−3i3i003i−3i00−3i3i003i−3i0000000000000000000000000000000000
χ7344-4-44-4-2-244-4-4222-2-221-22-22-1-1144-4-4-2222-1-1-2-211-221-11-1-2-211-2-21122-1-122-1-10000000000000000000000000000000000
χ7444-4-44-4-2-244-4-4222-2-221-22-22-1-11-4-444-2222-1-1-2-211-221-11-122-1-122-1-1-2-211-2-2110000000000000000000000000000000000
χ7544-4-44-4-2-2-4-444222-2-221-22-22-1-114i−4i−4i4i2-2-2-21122-1-12-21-1-11−2i−2iii2i2i−i−i2i2i−i−i−2i−2iii0000000000000000000000000000000000
χ7644-4-44-4-2-2-4-444222-2-221-22-22-1-11−4i4i4i−4i2-2-2-21122-1-12-21-1-112i2i−i−i−2i−2iii−2i−2iii2i2i−i−i0000000000000000000000000000000000
χ7744-4-4-444-24-44-4-4224-2-4-2-442-222-20000-4-42-2224-2-2-2242-22-200000000000000000000000000000000000000000000000000
χ7844-4-4-444-2-44-44-4224-2-4-2-442-222-2000044-22-2-2-4222-2-42-2-2200000000000000000000000000000000000000000000000000
χ7944-4-4-44-244-44-42-4-4-242-22-2-4422-2000022-4422-24-2-2-4-22-22-200000000000000000000000000000000000000000000000000
χ8044-4-4-44-24-44-442-4-4-242-22-2-4422-20000-2-24-4-2-22-422422-2-2200000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-4222-2-2212-22-2-1-110000222-2-1-1-2-2112-2-11-11003-3003-300-3300-330000000000000000000000000000000000
χ8244-4-4-44-2-24-44-4222-2-2212-22-2-1-110000222-2-1-1-2-2112-2-11-1100-3300-33003-3003-30000000000000000000000000000000000
χ8344-4-4-44-2-2-44-44222-2-2212-22-2-1-110000-2-2-221122-1-1-22-111-1003i−3i00−3i3i00−3i3i003i−3i0000000000000000000000000000000000
χ8444-4-4-44-2-2-44-44222-2-2212-22-2-1-110000-2-2-221122-1-1-22-111-100−3i3i003i−3i003i−3i00−3i3i0000000000000000000000000000000000
χ854-44-40044000044-4-4-4-4400004-4-4000000000000000000000000000000000000−2i22i2−2i22i2000000000000000000000000000000
χ864-44-40044000044-4-4-4-4400004-4-40000000000000000000000000000000000002i2−2i22i2−2i2000000000000000000000000000000
χ874-4-4400440000-4-44-4-4440000-44-400000000000000000000000000000000000022−22−2222000000000000000000000000000000
χ884-4-4400440000-4-44-4-4440000-44-4000000000000000000000000000000000000−222222−22000000000000000000000000000000
χ898-88-8008-400008-44-84-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-480000-48-84-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-40000-4-44444200002-2-2000000006i−6i006i−6i00000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-4-44444200002-2-200000000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-84-4-848-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-884-8-4-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-4000044-444-420000-22-2000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044-444-420000-22-200000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).