Finite Group Databasebeta

← Group #11788761

Character table — Group #11788761

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444666612123666666661212121212121212121212446612121212121212121212121212121212121222448888224466666612121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1
χ9111-1-11111-1-11111111-1-1-11111-11-111-1-11111-11-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1ii−i−i1-1i−i1111-1-1-1-1ii−i−iii−i−iii−i−ii−i
χ10111-1-11111-1-11111111-1-1-11111-11-111-1-11111-11-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1−i−iii1-1−ii1111-1-1-1-1−i−iii−i−iii−i−iii−ii
χ11111-1-11111-1-11111111-1-1-11111-11-111-1-11111-11-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−i-11i−i-1-1-1-11111ii−i−iii−i−i−i−iii−ii
χ12111-1-11111-1-11111111-1-1-11111-11-111-1-11111-11-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii-11−ii-1-1-1-11111−i−iii−i−iiiii−i−ii−i
χ13111-1-11111-1-11111111-1-1-11111-11-111-1-11111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1ii−i−i-11−ii11-1-111-1-1−i−iiiii−i−iii−i−i−ii
χ14111-1-11111-1-11111111-1-1-11111-11-111-1-11111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1−i−iii-11i−i11-1-111-1-1ii−i−i−i−iii−i−iiii−i
χ15111-1-11111-1-11111111-1-1-11111-11-111-1-11111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111ii−i−i1-1−ii-1-111-1-111−i−iiiii−i−i−i−iiii−i
χ16111-1-11111-1-11111111-1-1-11111-11-111-1-11111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111−i−iii1-1i−i-1-111-1-111ii−i−i−i−iiiii−i−i−ii
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-20000000000002-22-2000000002-200002-200000000000000
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-2000000000000-22-2200000000-220000-2200000000000000
χ19222222-122222-1-1-122-12-1-12-1-1-1222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000
χ20222222-122222-1-1-122-12-1-12-1-1-1222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2001111111100000000000000
χ21222222-122222-1-1-122-12-1-12-1-1-1222-1-1-1-1-1-1-1-12-2-2-1-11111-1-1-2-21111-2-2111122220000-2-200-1-11111-1-100000000000000
χ22222222-122222-1-1-122-12-1-12-1-1-1222-1-1-1-1-1-1-1-12-2-2-1-11111-1-1-2-21111-2-21111-2-2-2-20000220011-1-1-1-11100000000000000
χ23222222-1-2-2-2-22-1-1-1-2-2-12-1-12-1-1-12-2-211111111-200-1-1−i3i3−i3i31100−i3−i3i3i300−i3−i3i3i32-22-200000000-11−i3i3−i3i3-1100000000000000
χ24222222-1-2-2-2-22-1-1-1-2-2-12-1-12-1-1-12-2-211111111-200-1-1−i3i3−i3i31100−i3−i3i3i300−i3−i3i3i3-22-22000000001-1i3−i3i3−i31-100000000000000
χ25222222-1-2-2-2-22-1-1-1-2-2-12-1-12-1-1-12-2-211111111-200-1-1i3−i3i3−i31100i3i3−i3−i300i3i3−i3−i32-22-200000000-11i3−i3i3−i3-1100000000000000
χ26222222-1-2-2-2-22-1-1-1-2-2-12-1-12-1-1-12-2-211111111-200-1-1i3−i3i3−i31100i3i3−i3−i300i3i3−i3−i3-22-22000000001-1−i3i3−i3i31-100000000000000
χ2722222-122222-1222-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000
χ2822222-122222-1222-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000000011111111000000
χ2922222-122222-1222-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-2-2-1-1-2-2-2-2-1-11111111111110000222200-2-2000000001111-1-1-1-1000000
χ3022222-122222-1222-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-2-2-1-1-2-2-2-2-1-11111111111110000-2-2-2-2002200000000-1-1-1-11111000000
χ31222-2-222-2-2222222-2-22-2-2-22222-2-22-2-222-2-2-2-2200-2-20000220000000000002-2-22000000002-20000-2200000000000000
χ32222-2-222-2-2222222-2-22-2-2-22222-2-22-2-222-2-2-2-2200-2-2000022000000000000-222-200000000-2200002-200000000000000
χ33222-2-22-122-2-22-1-1-122-1-2112-1-1-1-22-2-1-111-1-1-1-1-22-211-1-1111122-1-1-1-1-2-2111122-2-200002-200-1-1-1-1111100000000000000
χ34222-2-22-122-2-22-1-1-122-1-2112-1-1-1-22-2-1-111-1-1-1-1-22-211-1-1111122-1-1-1-1-2-21111-2-2220000-22001111-1-1-1-100000000000000
χ35222-2-22-122-2-22-1-1-122-1-2112-1-1-1-22-2-1-111-1-1-1-1-2-221111-1-111-2-2111122-1-1-1-122-2-20000-2200-1-111-1-11100000000000000
χ36222-2-22-122-2-22-1-1-122-1-2112-1-1-1-22-2-1-111-1-1-1-1-2-221111-1-111-2-2111122-1-1-1-1-2-22200002-20011-1-111-1-100000000000000
χ37222-2-22-1-2-2222-1-1-1-2-2-1-2112-1-1-1-2-2211-1-1111120011−i3i3i3−i3-1-100−i3−i3i3i300i3i3−i3−i32-2-2200000000-11−i3i3i3−i31-100000000000000
χ38222-2-22-1-2-2222-1-1-1-2-2-1-2112-1-1-1-2-2211-1-1111120011−i3i3i3−i3-1-100−i3−i3i3i300i3i3−i3−i3-222-2000000001-1i3−i3−i3i3-1100000000000000
χ39222-2-22-1-2-2222-1-1-1-2-2-1-2112-1-1-1-2-2211-1-1111120011i3−i3−i3i3-1-100i3i3−i3−i300−i3−i3i3i32-2-2200000000-11i3−i3−i3i31-100000000000000
χ40222-2-22-1-2-2222-1-1-1-2-2-1-2112-1-1-1-2-2211-1-1111120011i3−i3−i3i3-1-100i3i3−i3−i300−i3−i3i3i3-222-2000000001-1−i3i3i3−i3-1100000000000000
χ41222-2-2-1222-2-2-1222-1-1-11-2-2-1-1-1-11-1122-2-2-1-1-1-112-21122-2-211-1-1-1-1-1-111111100002i2i−2i−2i002i−2i00000000−i−iii−i−iii000000
χ42222-2-2-1222-2-2-1222-1-1-11-2-2-1-1-1-11-1122-2-2-1-1-1-112-21122-2-211-1-1-1-1-1-11111110000−2i−2i2i2i00−2i2i00000000ii−i−iii−i−i000000
χ43222-2-2-1222-2-2-1222-1-1-11-2-2-1-1-1-11-1122-2-2-1-1-1-11-2211-2-22211111111-1-1-1-1-1-100002i2i−2i−2i00−2i2i00000000ii−i−i−i−iii000000
χ44222-2-2-1222-2-2-1222-1-1-11-2-2-1-1-1-11-1122-2-2-1-1-1-11-2211-2-22211111111-1-1-1-1-1-10000−2i−2i2i2i002i−2i00000000−i−iiiii−i−i000000
χ4522-22-2222-22-22-2-22222-22-2-22-2-22-222-22-222-2-2-2002-200002-200000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
χ4622-22-2222-22-22-2-22222-22-2-22-2-22-222-22-222-2-2-2002-200002-20000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000
χ4722-22-222-22-222-2-22-2-22-22-2-22-2-222-2-22-22-2-2222002-20000-2200000000000000000000000000000000000000002-22-200
χ4822-22-222-22-222-2-22-2-22-22-2-22-2-222-2-22-22-2-2222002-20000-220000000000000000000000000000000000000000-22-2200
χ4922-22-2-122-22-2-1-2-22-1-1-112-21-111-11-12-22-2-1-111100-110000-113−33−33−33−33−33−300002i−2i2i−2i000000000000−i3i3−i3i3−ii−ii000000
χ5022-22-2-122-22-2-1-2-22-1-1-112-21-111-11-12-22-2-1-111100-110000-113−33−33−33−33−33−30000−2i2i−2i2i000000000000i3−i3i3−i3i−ii−i000000
χ5122-22-2-122-22-2-1-2-22-1-1-112-21-111-11-12-22-2-1-111100-110000-11−33−33−33−33−33−3300002i−2i2i−2i000000000000i3−i3i3−i3−ii−ii000000
χ5222-22-2-122-22-2-1-2-22-1-1-112-21-111-11-12-22-2-1-111100-110000-11−33−33−33−33−33−330000−2i2i−2i2i000000000000−i3i3−i3i3i−ii−i000000
χ5322-2-22222-2-222-2-222222-22-22-2-2-2-2-22-2-2222-2-2200-220000-2200000000000000002-2-2200000000000000002-2-22000000
χ5422-2-22222-2-222-2-222222-22-22-2-2-2-2-22-2-2222-2-2200-220000-220000000000000000-222-20000000000000000-222-2000000
χ5522-2-2222-222-22-2-22-2-222-22-22-2-2-222-222-2-2-222-200-2200002-200000000000000000000000000000000000000002i−2i−2i2i00
χ5622-2-2222-222-22-2-22-2-222-22-22-2-2-222-222-2-2-222-200-2200002-20000000000000000000000000000000000000000−2i2i2i−2i00
χ5722-2-22-122-2-22-1-2-22-1-1-1-1-221-1111112-2-22-1-111-1001-100001-13−33−33−3−33−33−3300002-2-22000000000000−333−3-111-1000000
χ5822-2-22-122-2-22-1-2-22-1-1-1-1-221-1111112-2-22-1-111-1001-100001-13−33−33−3−33−33−330000-222-20000000000003−3−331-1-11000000
χ5922-2-22-122-2-22-1-2-22-1-1-1-1-221-1111112-2-22-1-111-1001-100001-1−33−33−333−33−33−300002-2-220000000000003−3−33-111-1000000
χ6022-2-22-122-2-22-1-2-22-1-1-1-1-221-1111112-2-22-1-111-1001-100001-1−33−33−333−33−33−30000-222-2000000000000−333−31-1-11000000
χ6144444-24-4-4-4-4-244422-2-244-2-2-2-2-222-4-4-4-42222200-2-20000220000000000000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-24411-2-2-2-211-2-21111-2-211110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-2222222-1-1-1-120011−2i32i3−2i32i3-1-100i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-2222222-1-1-1-1200112i3−2i32i3−2i3-1-100−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000
χ66444-4-4-24-4-444-244422-22-4-4-2-2-2-222-2-4-4442222-200220000-2-20000000000000000000000000000000000000000000000
χ67444-4-4-2-244-4-4-2-2-2-2-2-21222-21112-22-2-222111124-4-1-1-2-222-1-1-2-2111122-1-1-1-10000000000000000000000000000000000
χ68444-4-4-2-244-4-4-2-2-2-2-2-21222-21112-22-2-22211112-44-1-122-2-2-1-122-1-1-1-1-2-211110000000000000000000000000000000000
χ69444-4-4-2-2-4-444-2-2-2-2221222-211122-222-2-2-1-1-1-1-200-1-1−2i32i32i3−2i31100i3i3−i3−i300−i3−i3i3i30000000000000000000000000000000000
χ70444-4-4-2-2-4-444-2-2-2-2221222-211122-222-2-2-1-1-1-1-200-1-12i3−2i3−2i32i31100−i3−i3i3i300i3i3−i3−i30000000000000000000000000000000000
χ7144-44-44-24-44-4422-244-2-4-22-4-2224-44-22-22-2-222-400-220000-220000000000000000000000000000000000000000000000
χ7244-44-44-2-44-44422-2-4-4-2-4-22-4-22244-42-22-222-2-2400-2200002-20000000000000000000000000000000000000000000000
χ7344-44-4-24-44-44-2-4-4422-224-42-222-2-22-44-4422-2-2-200-2200002-20000000000000000000000000000000000000000000000
χ7444-44-4-2-24-44-4-222-2-2-212-2221-1-1-22-2-22-2211-1-12001-100001-123−23−33−3323−23−33−330000000000000000000000000000000000
χ7544-44-4-2-24-44-4-222-2-2-212-2221-1-1-22-2-22-2211-1-12001-100001-1−23233−33−3−23233−33−30000000000000000000000000000000000
χ7644-44-4-2-2-44-44-222-22212-2221-1-1-2-222-22-2-1-111-2001-10000-11003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000
χ7744-44-4-2-2-44-44-222-22212-2221-1-1-2-222-22-2-1-111-2001-10000-1100−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000
χ7844-4-444-24-4-44422-244-242-2-4-222-4-4-4-222-2-2-2224002-200002-20000000000000000000000000000000000000000000000
χ7944-4-444-2-444-4422-2-4-4-242-2-4-222-4442-2-2222-2-2-4002-20000-220000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-2-4-4422-2-2-442-2222-2-2-444-422-2-22002-20000-220000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-222-2-2-21-22-221-1-1222-222-211-1-1-200-110000-1123−23−33−33−23233−33−30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-222-2-2-21-22-221-1-1222-222-211-1-1-200-110000-11−23233−33−323−23−33−330000000000000000000000000000000000
χ8344-4-44-2-2-444-4-222-2221-22-221-1-12-2-22-2-22-1-111200-1100001-1003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000
χ8444-4-44-2-2-444-4-222-2221-22-221-1-12-2-22-2-22-1-111200-1100001-100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000
χ858-8000880000-800-80080000-80000000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-8−4i34i3400-400004−4i34i300000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-84i3−4i3400-4000044i3−4i300000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000400-843−43-40000400000000043−4300000000000000000000000000000000000000000000000000000000000
χ898-8000-480000400-8−4343-400004000000000−434300000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004−4i34i3443−4320000-22i3−2i30000000−23236i−6i000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004−4i34i34−434320000-22i3−2i3000000023−23−6i6i000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044i3−4i3443−4320000-2−2i32i30000000−2323−6i6i000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044i3−4i34−434320000-2−2i32i3000000023−236i−6i000000000000000000000000000000000000000000000000000000000

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