Finite Group Databasebeta

← Group #11868130

Character table — Group #11868130

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order12222334444666612123666666668888121212121212121212121266121224242424242424242424242424242424222466666688881212242424242424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ811111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111
χ9111-1-111-1-111-1-111-1-111-1-11-1-1-1111-1-1-1-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-11-11-11111-1-11-11-1-1-111-1-111-1-11-11-111-1-1
χ10111-1-111-1-111-1-111-1-111-1-11-1-1-1111-1-1-1-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-11-1-111111-1-1-1-111-11-11-1-111
χ11111-1-111-1-111-1-111-1-111-1-11-1-1-1111-1-1-1-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-1-111-111-1-111-111-1-1-1-1-11111-1-1-11-11-1-111
χ12111-1-111-1-111-1-111-1-111-1-11-1-1-1111-1-1-1-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-11-1111-1-111-1-1111-11-111-1-1
χ13111-1-111-1-111-1-111-1-111-1-11-1-1-11-1-111-1-1-1-1-11111111-11-1-1-1-1-1-1-1-1-1111111111-11-11111-1-1-11-11-1-1-1-111-1-111-11-1111-1-1
χ14111-1-111-1-111-1-111-1-111-1-11-1-1-11-1-111-1-1-1-1-11111111-11-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-1-111-111-1-11111-1-11-11-1-1-111
χ15111-1-111-1-111-1-111-1-111-1-11-1-1-11-1-111-1-1-1-1-11111111-11-1-1-1-1-1-1-1-1-111111111-111-111-1-1111-1-11-1-111-1-1-1-1111-11-1-1-111
χ16111-1-111-1-111-1-111-1-111-1-11-1-1-11-1-111-1-1-1-1-11111111-11-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1111-11-11111-1-111-1-1-11-1111-1-1
χ172222222-2-2-2-22222-2-22222222222i−2i2i−2i-2-2-2-2-2-2-2-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ182222222-2-2-2-22222-2-2222222222−2i2i−2i2i-2-2-2-2-2-2-2-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ19222222-12222-1-1-1222-1222-1-1-1-1-12222-1-12-1-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1220000-1-1-1-1220000-1-1-1-1000000000000
χ20222222-12222-1-1-1222-1222-1-1-1-1-12222-1-12-1-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-200001111-2-200001111000000000000
χ21222222-12222-1-1-1222-1222-1-1-1-1-1-2-2-2-2-1-12-1-1-12-1-1-12-1-1-1-1-2111-2111-2111-2111220000-1-1-1-1-2-200001111000000000000
χ22222222-12222-1-1-1222-1222-1-1-1-1-1-2-2-2-2-1-12-1-1-12-1-1-12-1-1-1-1-2111-2111-2111-2111-2-200001111220000-1-1-1-1000000000000
χ23222222-1-2-2-2-2-1-1-12-2-2-1222-1-1-1-1-12i−2i2i−2i11-2111-2111-2-1-1112i−i−i−i−2iiii2i−i−i−i−2iiii000000−i3i3−i3i30000003−33−3000000000000
χ24222222-1-2-2-2-2-1-1-12-2-2-1222-1-1-1-1-12i−2i2i−2i11-2111-2111-2-1-1112i−i−i−i−2iiii2i−i−i−i−2iiii000000i3−i3i3−i3000000−33−33000000000000
χ25222222-1-2-2-2-2-1-1-12-2-2-1222-1-1-1-1-1−2i2i−2i2i11-2111-2111-2-1-111−2iiii2i−i−i−i−2iiii2i−i−i−i000000−i3i3−i3i3000000−33−33000000000000
χ26222222-1-2-2-2-2-1-1-12-2-2-1222-1-1-1-1-1−2i2i−2i2i11-2111-2111-2-1-111−2iiii2i−i−i−i−2iiii2i−i−i−i000000i3−i3i3−i30000003−33−3000000000000
χ2722222-122222222-1-1-1-1-1-1-122-1-1-1222222-1-1-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-10022-1-100000022-1-10000-1-1-1-100000000
χ2822222-122222222-1-1-1-1-1-1-122-1-1-1222222-1-1-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-100-2-211000000-2-2110000111100000000
χ2922222-122222222-1-1-1-1-1-1-122-1-1-1-2-2-2-222-1-1-12-1-1-12-1-1-1-1-11-2111-2111-2111-2110022-1-1000000-2-2-1-10000111100000000
χ3022222-122222222-1-1-1-1-1-1-122-1-1-1-2-2-2-222-1-1-12-1-1-12-1-1-1-1-11-2111-2111-2111-21100-2-21100000022110000-1-1-1-100000000
χ3122222-12-2-2-2-2222-111-1-1-1-122-1-1-12i−2i2i−2i-2-2111-2111-21-1-111−i2i−i−ii−2iii−i2i−i−ii−2iii0000−i3i300000000−i3i300003−33−300000000
χ3222222-12-2-2-2-2222-111-1-1-1-122-1-1-12i−2i2i−2i-2-2111-2111-21-1-111−i2i−i−ii−2iii−i2i−i−ii−2iii0000i3−i300000000i3−i30000−33−3300000000
χ3322222-12-2-2-2-2222-111-1-1-1-122-1-1-1−2i2i−2i2i-2-2111-2111-21-1-111i−2iii−i2i−i−ii−2iii−i2i−i−i0000−i3i300000000−i3i30000−33−3300000000
χ3422222-12-2-2-2-2222-111-1-1-1-122-1-1-1−2i2i−2i2i-2-2111-2111-21-1-111i−2iii−i2i−i−ii−2iii−i2i−i−i0000i3−i300000000i3−i300003−33−300000000
χ35222-2-22222-2-2-2-2222222-2-22-2-2-222i−2i−2i2i22222-2-2-2-2-2-22-2-222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ36222-2-22222-2-2-2-2222222-2-22-2-2-22−2i2i2i−2i22222-2-2-2-2-2-22-2-22−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ37222-2-22-122-2-211-1222-12-2-2-1111-12i−2i−2i2i-1-12-1-11-2111-2-111-12i−i−i−i−2iiii−2iiii2i−i−i−i000000−i3i3i3−i30000003−3−33000000000000
χ38222-2-22-122-2-211-1222-12-2-2-1111-12i−2i−2i2i-1-12-1-11-2111-2-111-12i−i−i−i−2iiii−2iiii2i−i−i−i000000i3−i3−i3i3000000−333−3000000000000
χ39222-2-22-122-2-211-1222-12-2-2-1111-1−2i2i2i−2i-1-12-1-11-2111-2-111-1−2iiii2i−i−i−i2i−i−i−i−2iiii000000−i3i3i3−i3000000−333−3000000000000
χ40222-2-22-122-2-211-1222-12-2-2-1111-1−2i2i2i−2i-1-12-1-11-2111-2-111-1−2iiii2i−i−i−i2i−i−i−i−2iiii000000i3−i3−i3i30000003−3−33000000000000
χ41222-2-22-1-2-22211-12-2-2-12-2-2-1111-122-2-211-211-12-1-1-12-11-112-1-1-12-1-1-1-2111-21112-20000-1-1112-20000-1-111000000000000
χ42222-2-22-1-2-22211-12-2-2-12-2-2-1111-122-2-211-211-12-1-1-12-11-112-1-1-12-1-1-1-2111-2111-22000011-1-1-22000011-1-1000000000000
χ43222-2-22-1-2-22211-12-2-2-12-2-2-1111-1-2-22211-211-12-1-1-12-11-11-2111-21112-1-1-12-1-1-12-20000-1-111-22000011-1-1000000000000
χ44222-2-22-1-2-22211-12-2-2-12-2-2-1111-1-2-22211-211-12-1-1-12-11-11-2111-21112-1-1-12-1-1-1-22000011-1-12-20000-1-111000000000000
χ45222-2-2-1222-2-2-2-22-1-1-1-1-1112-211-12i−2i−2i2i22-1-1-1-2111-21-111-1−i2i−i−ii−2iiii−2iii−i2i−i−i0000−i3i300000000i3−i300003−3−3300000000
χ46222-2-2-1222-2-2-2-22-1-1-1-1-1112-211-12i−2i−2i2i22-1-1-1-2111-21-111-1−i2i−i−ii−2iiii−2iii−i2i−i−i0000i3−i300000000−i3i30000−333−300000000
χ47222-2-2-1222-2-2-2-22-1-1-1-1-1112-211-1−2i2i2i−2i22-1-1-1-2111-21-111-1i−2iii−i2i−i−i−i2i−i−ii−2iii0000−i3i300000000i3−i30000−333−300000000
χ48222-2-2-1222-2-2-2-22-1-1-1-1-1112-211-1−2i2i2i−2i22-1-1-1-2111-21-111-1i−2iii−i2i−i−i−i2i−i−ii−2iii0000i3−i300000000−i3i300003−3−3300000000
χ49222-2-2-12-2-222-2-22-111-1-1112-211-122-2-2-2-21112-1-1-12-1-11-11-12-1-1-12-1-11-2111-211002-2-1-10000002-2110000-1-11100000000
χ50222-2-2-12-2-222-2-22-111-1-1112-211-122-2-2-2-21112-1-1-12-1-11-11-12-1-1-12-1-11-2111-21100-2211000000-22-1-1000011-1-100000000
χ51222-2-2-12-2-222-2-22-111-1-1112-211-1-2-222-2-21112-1-1-12-1-11-111-2111-211-12-1-1-12-1-1002-2-1-1000000-2211000011-1-100000000
χ52222-2-2-12-2-222-2-22-111-1-1112-211-1-2-222-2-21112-1-1-12-1-11-111-2111-211-12-1-1-12-1-100-22110000002-2-1-10000-1-11100000000
χ5322-22-2222-22-22222-2-22-22-2-2-222200002-22-2-2-2-2-2-222-2-22200000000000000000000000000000000000000002-2-220000
χ5422-22-2222-22-22222-2-22-22-2-2-222200002-22-2-2-2-2-2-222-2-2220000000000000000000000000000000000000000-222-20000
χ5522-22-222-22-222222222-22-2-2-22220000-22-2222222-2-2-2-2-2-2000000000000000000000000000000000000000000002-22-2
χ5622-22-222-22-222222222-22-2-2-22220000-22-2222222-2-2-2-2-2-200000000000000000000000000000000000000000000-22-22
χ5722-2-22222-2-22-2-222-2-22-2-22-22-2-2200002-22-2-22222-2-2-22-22000000000000000000000000000000000000000000002-2-22
χ5822-2-22222-2-22-2-222-2-22-2-22-22-2-2200002-22-2-22222-2-2-22-2200000000000000000000000000000000000000000000-222-2
χ5922-2-2222-222-2-2-222222-2-22-22-2-220000-22-222-2-2-2-222-222-2000000000000000000000000000000000000000022-2-20000
χ6022-2-2222-222-2-2-222222-2-22-22-2-220000-22-222-2-2-2-222-222-20000000000000000000000000000000000000000-2-2220000
χ6144444-2-24444-2-2-2-2-2-21-2-2-2-2-21114444-2-2-211-2-211-2-21111-2-211-2-211-2-211-2-21100000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-4-4-4-4-2-2-211-2-211-2-2111122-1-122-1-122-1-122-1-100000000000000000000000000000000
χ6344444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-21114i−4i4i−4i222-1-122-1-12211-1-1−2i−2iii2i2i−i−i−2i−2iii2i2i−i−i00000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111−4i4i−4i4i222-1-122-1-12211-1-12i2i−i−i−2i−2iii2i2i−i−i−2i−2iii00000000000000000000000000000000
χ65444-4-4-2-244-4-422-2-2-2-21-222-22-1-114i−4i−4i4i-2-2-21122-1-1221-1-11−2i−2iii2i2i−i−i2i2i−i−i−2i−2iii00000000000000000000000000000000
χ66444-4-4-2-244-4-422-2-2-2-21-222-22-1-11−4i4i4i−4i-2-2-21122-1-1221-1-112i2i−i−i−2i−2iii−2i−2iii2i2i−i−i00000000000000000000000000000000
χ67444-4-4-2-2-4-44422-2-2221-222-22-1-1144-4-4222-1-1-2-211-2-21-11-1-2-211-2-21122-1-122-1-100000000000000000000000000000000
χ68444-4-4-2-2-4-44422-2-2221-222-22-1-11-4-444222-1-1-2-211-2-21-11-122-1-122-1-1-2-211-2-21100000000000000000000000000000000
χ6944-44-44-24-44-4-2-2-24-4-4-2-44-422-2-2-20000-224222-422-2422-2-2000000000000000000000000000000000000000000000000
χ7044-44-44-2-44-44-2-2-2444-2-44-422-2-2-200002-2-4-2-2-24-2-22-42222000000000000000000000000000000000000000000000000
χ7144-44-4-244-44-4444-222-22-22-4-4-2-2-200004-4-222-42224-222-2-2000000000000000000000000000000000000000000000000
χ7244-44-4-24-44-44444-2-2-2-22-22-4-4-2-2-20000-442-2-24-2-2-2-422222000000000000000000000000000000000000000000000000
χ7344-44-4-2-24-44-4-2-2-2-22212-22221110000-22-2-1-122-1-1-2-2-1-111003i−3i003i−3i003i−3i003i−3i00000000000000000000000000000000
χ7444-44-4-2-24-44-4-2-2-2-22212-22221110000-22-2-1-122-1-1-2-2-1-11100−3i3i00−3i3i00−3i3i00−3i3i00000000000000000000000000000000
χ7544-44-4-2-2-44-44-2-2-2-2-2-212-222211100002-2211-2-21122-1-1-1-1003-300-33003-300-3300000000000000000000000000000000
χ7644-44-4-2-2-44-44-2-2-2-2-2-212-222211100002-2211-2-21122-1-1-1-100-33003-300-33003-300000000000000000000000000000000
χ7744-4-444-24-4-4422-24-4-4-2-4-442-222-20000-22422-24-2-22-42-22-2000000000000000000000000000000000000000000000000
χ7844-4-444-2-444-422-2444-2-4-442-222-200002-2-4-2-22-422-242-2-22000000000000000000000000000000000000000000000000
χ7944-4-44-244-4-44-4-44-222-222-2-4422-200004-4-2224-2-2-2-422-22-2000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-4-44-2-2-2-222-2-4422-20000-442-2-2-42224-22-2-22000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-4422-2-222122-22-2-1-110000-22-2-1-1-2-21122-11-11003-300-3300-33003-300000000000000000000000000000000
χ8244-4-44-2-24-4-4422-2-222122-22-2-1-110000-22-2-1-1-2-21122-11-1100-33003-3003-300-3300000000000000000000000000000000
χ8344-4-44-2-2-444-422-2-2-2-2122-22-2-1-1100002-221122-1-1-2-2-111-1003i−3i003i−3i00−3i3i00−3i3i00000000000000000000000000000000
χ8444-4-44-2-2-444-422-2-2-2-2122-22-2-1-1100002-221122-1-1-2-2-111-100−3i3i00−3i3i003i−3i003i−3i00000000000000000000000000000000
χ858-800088000000-8-80080000000-80000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000−4i34i34-800-400000−4i34i340000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-400004i3−4i34-800-4000004i3−4i340000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-48000000-8443−43-400000004000000043−430000000000000000000000000000000000000000000000000000000000
χ898-8000-48000000-84−4343-4000000040000000−43430000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−432000002i3−2i3-20000000−2323006i−6i000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−43432000002i3−2i3-2000000023−2300−6i6i000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−43200000−2i32i3-20000000−232300−6i6i000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−4343200000−2i32i3-2000000023−23006i−6i000000000000000000000000000000000000000000000000000000

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