Finite Group Databasebeta

← Group #11868126

Character table — Group #11868126

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order122223344446666121236666666612121212121212121212126688121224242424242424242424242424242424224488882224666666661212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1
χ9111-1-111-1-111-1-111-1-111-1-11-1-1-111-1-1-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-11-11-111-1-11-11-1111-111-1-11-1-1-111-1-111-1-11-1
χ10111-1-111-1-111-1-111-1-111-1-11-1-1-111-1-1-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-11-11-1-1-1111-1-11-1-11-111-1-11-111-1-111-1-111-11
χ11111-1-111-1-111-1-111-1-111-1-11-1-1-111-1-1-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-111-111-11-1-111-11-1-111-1-1-1-111-11
χ12111-1-111-1-111-1-111-1-111-1-11-1-1-111-1-1-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-1-11-11-1-111-11-11-1-1-11-1-111-1111-1-11111-1-11-1
χ13111-1-111-1-111-1-111-1-111-1-11-1-1-111-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-11-11-1-11-1-1-1111-11111-1-111-1-1-11
χ14111-1-111-1-111-1-111-1-111-1-11-1-1-111-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1111111111-11-1-1-111-111-1111-1-1-1111-1-1-1-1-111-1-1111-1
χ15111-1-111-1-111-1-111-1-111-1-11-1-1-111-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111111111-11-1111-1-11-1-11-1-1-1111-1-1-111111-1-1-1-1111-1
χ16111-1-111-1-111-1-111-1-111-1-11-1-1-111-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111111111-11-11-1-1111-11-111-1111-1-1-11-1-1-1-11111-1-1-11
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000
χ19222222-12222-1-12-122-1222-1-1-1-1-1-12-1-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122220000220000-1-1-1-1-1-1-1-1000000000000
χ20222222-12222-1-12-122-1222-1-1-1-1-1-12-1-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-2000011111111000000000000
χ21222222-12222-1-12-122-1222-1-1-1-1-1-12-1-1-1-12-1-1-12-1-1-2-2-1-1-2-2111111-2-211111122220000-2-20000-1-11111-1-1000000000000
χ22222222-12222-1-12-122-1222-1-1-1-1-1-12-1-1-1-12-1-1-12-1-1-2-2-1-1-2-2111111-2-2111111-2-2-2-2000022000011-1-1-1-111000000000000
χ2322222-12222222-12-1-1-1-1-1-122-1-1-12-122-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022220022-1-100000000-1-1-1-1-1-1000000
χ2422222-12222222-12-1-1-1-1-1-122-1-1-12-122-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-200-2-21100000000111111000000
χ2522222-12222222-12-1-1-1-1-1-122-1-1-12-122-1-1-12-1-1-1-1-1-2-2-1-111-2-2111111-2-211110000222200-2-2110000000011-1-1-1-1000000
χ2622222-12222222-12-1-1-1-1-1-122-1-1-12-122-1-1-12-1-1-1-1-1-2-2-1-111-2-2111111-2-211110000-2-2-2-20022-1-100000000-1-11111000000
χ2722222-12-2-2-2-222-1211-1-1-1-122-1-1-1-21-2-2111-2111-1-100113−30033−3−33−30033−3−300002i−2i2i−2i0000−i3i300000000−i3i3−ii−ii000000
χ2822222-12-2-2-2-222-1211-1-1-1-122-1-1-1-21-2-2111-2111-1-100113−30033−3−33−30033−3−30000−2i2i−2i2i0000i3−i300000000i3−i3i−ii−i000000
χ2922222-12-2-2-2-222-1211-1-1-1-122-1-1-1-21-2-2111-2111-1-10011−3300−3−333−3300−3−33300002i−2i2i−2i0000i3−i300000000i3−i3−ii−ii000000
χ3022222-12-2-2-2-222-1211-1-1-1-122-1-1-1-21-2-2111-2111-1-10011−3300−3−333−3300−3−3330000−2i2i−2i2i0000−i3i300000000−i3i3i−ii−i000000
χ31222-2-22222-2-2-2-2222222-2-22-2-2-22-222222-2-2-2-2-22-200-22000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i000000
χ32222-2-22222-2-2-2-2222222-2-22-2-2-22-222222-2-2-2-2-22-200-2200000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i000000
χ33222-2-22-1-2-222112-1-2-2-12-2-2-1111-1-1-211112-1-1-12-112-2-1122-1-1-1-1-1-1-2-21111112-22-200002-20000-11-1-111-11000000000000
χ34222-2-22-1-2-222112-1-2-2-12-2-2-1111-1-1-211112-1-1-12-112-2-1122-1-1-1-1-1-1-2-2111111-22-220000-2200001-111-1-11-1000000000000
χ35222-2-22-1-2-222112-1-2-2-12-2-2-1111-1-1-211112-1-1-12-11-22-11-2-211111122-1-1-1-1-1-12-22-20000-220000-1111-1-1-11000000000000
χ36222-2-22-1-2-222112-1-2-2-12-2-2-1111-1-1-211112-1-1-12-11-22-11-2-211111122-1-1-1-1-1-1-22-2200002-200001-1-1-1111-1000000000000
χ37222-2-2-1222-2-2-2-2-12-1-1-1-1112-211-1-2-122-1-11-2111-11001-13−30033−3−3−3300−3−33300002i−2i−2i2i0000−i3i300000000i3−i3−iii−i000000
χ38222-2-2-1222-2-2-2-2-12-1-1-1-1112-211-1-2-122-1-11-2111-11001-13−30033−3−3−3300−3−3330000−2i2i2i−2i0000i3−i300000000−i3i3i−i−ii000000
χ39222-2-2-1222-2-2-2-2-12-1-1-1-1112-211-1-2-122-1-11-2111-11001-1−3300−3−3333−30033−3−300002i−2i−2i2i0000i3−i300000000−i3i3−iii−i000000
χ40222-2-2-1222-2-2-2-2-12-1-1-1-1112-211-1-2-122-1-11-2111-11001-1−3300−3−3333−30033−3−30000−2i2i2i−2i0000−i3i300000000i3−i3i−i−ii000000
χ41222-2-2-12-2-222-2-2-1211-1-1112-211-121-2-211-12-1-1-1-112-2-11-1-122-1-1-1-111-2-21111000022-2-2002-2-1-10000000011-1-111000000
χ42222-2-2-12-2-222-2-2-1211-1-1112-211-121-2-211-12-1-1-1-112-2-11-1-122-1-1-1-111-2-211110000-2-22200-221100000000-1-111-1-1000000
χ43222-2-2-12-2-222-2-2-1211-1-1112-211-121-2-211-12-1-1-1-11-22-1111-2-21111-1-122-1-1-1-1000022-2-200-221100000000-1-1-1-111000000
χ44222-2-2-12-2-222-2-2-1211-1-1112-211-121-2-211-12-1-1-1-11-22-1111-2-21111-1-122-1-1-1-10000-2-222002-2-1-1000000001111-1-1000000
χ4522-22-2222-22-22222222-22-2-2-2222-2-22-2222222-2-2-200-2-2000000000000000022-2-20000000000220000-2-2000000000000
χ4622-22-2222-22-22222222-22-2-2-2222-2-22-2222222-2-2-200-2-20000000000000000-2-2220000000000-2-2000022000000000000
χ4722-22-222-22-222222-2-22-22-2-2-222222-22-2-2-2-2-2-22-2-20022000000000000000000000000000000000000000000002-22-200
χ4822-22-222-22-222222-2-22-22-2-2-222222-22-2-2-2-2-2-22-2-2002200000000000000000000000000000000000000000000-22-2200
χ4922-22-22-12-22-2-1-12-122-1-22-211-1-1-11-2-11-1-12-1-1-1-211001100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i322-2-20000000000-1-1−i3i3−i3i311000000000000
χ5022-22-22-12-22-2-1-12-122-1-22-211-1-1-11-2-11-1-12-1-1-1-211001100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3-2-222000000000011i3−i3i3−i3-1-1000000000000
χ5122-22-22-12-22-2-1-12-122-1-22-211-1-1-11-2-11-1-12-1-1-1-211001100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i322-2-20000000000-1-1i3−i3i3−i311000000000000
χ5222-22-22-12-22-2-1-12-122-1-22-211-1-1-11-2-11-1-12-1-1-1-211001100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3-2-222000000000011−i3i3−i3i3-1-1000000000000
χ5322-2-22222-2-22-2-222222-2-22-22-2-222-22-222-2-2-2-22-22002-2000000000000000000000000000000000000000000002-2-2200
χ5422-2-22222-2-22-2-222222-2-22-22-2-222-22-222-2-2-2-22-22002-200000000000000000000000000000000000000000000-222-200
χ5522-2-2222-222-2-2-222-2-22-2-22-22-2-22-22-22-2-22222-2-2200-2200000000000000002-2-2200000000002-20000-22000000000000
χ5622-2-2222-222-2-2-222-2-22-2-22-22-2-22-22-22-2-22222-2-2200-220000000000000000-222-20000000000-2200002-2000000000000
χ5722-2-222-1-222-2112-1-2-2-1-2-221-111-1121-1112-1-1-1-21-1001-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i32-2-220000000000-11−i3i3i3−i31-1000000000000
χ5822-2-222-1-222-2112-1-2-2-1-2-221-111-1121-1112-1-1-1-21-1001-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i3-222-200000000001-1i3−i3−i3i3-11000000000000
χ5922-2-222-1-222-2112-1-2-2-1-2-221-111-1121-1112-1-1-1-21-1001-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i32-2-220000000000-11i3−i3−i3i31-1000000000000
χ6022-2-222-1-222-2112-1-2-2-1-2-221-111-1121-1112-1-1-1-21-1001-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i3-222-200000000001-1−i3i3i3−i3-11000000000000
χ61444444-2-4-4-4-4-2-24-2-4-4-2444-2-2-2-2-22-42222-4222-4-2-2002200000000000000000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-211-2-211-2114411-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-211-2-211-211-4-4112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-21112222-1-122-1-121100-1-123−2300−3−33323−2300−3−3330000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-21112222-1-122-1-121100-1-1−23230033−3−3−23230033−3−30000000000000000000000000000000000
χ66444-4-44-244-4-4224-244-24-4-4-2222-224-2-2-2-2-4222-4-22002-200000000000000000000000000000000000000000000000000
χ67444-4-4-2-244-4-422-2-2-2-21-222-22-1-112-2-2-21122-1-121-100-1123−2300−3−333−23230033−3−30000000000000000000000000000000000
χ68444-4-4-2-244-4-422-2-2-2-21-222-22-1-112-2-2-21122-1-121-100-11−23230033−3−323−2300−3−3330000000000000000000000000000000000
χ69444-4-4-2-2-4-44422-2-2221-222-22-1-11-2222-1-1-2-211-21-14-41-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ70444-4-4-2-2-4-44422-2-2221-222-22-1-11-2222-1-1-2-211-21-1-441-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ7144-44-44-2-44-44-2-24-2-4-4-2-44-422-2-2-2-242-222-422242200-2-200000000000000000000000000000000000000000000000000
χ7244-44-4-244-44-444-24-2-2-22-22-4-4-2-2-2-424-4-2-2-24-2-2222002200000000000000000000000000000000000000000000000000
χ7344-44-4-24-44-4444-2422-22-22-4-4-2-2-24-2-44222-422-22200-2-200000000000000000000000000000000000000000000000000
χ7444-44-4-2-24-44-4-2-2-2-2-2-212-222211122-2211-2-2112-1-100-1-100−2i32i3i3−i3i3−i300−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-2-2-2-212-222211122-2211-2-2112-1-100-1-1002i3−2i3−i3i3−i3i3002i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ7644-44-4-2-2-44-44-2-2-2-22212-2222111-2-22-2-1-122-1-1-2-1-1001100003i−3i−3i3i00003i−3i−3i3i0000000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-2-2-22212-2222111-2-22-2-1-122-1-1-2-1-100110000−3i3i3i−3i0000−3i3i3i−3i0000000000000000000000000000000000
χ7844-4-444-24-4-44224-244-2-4-442-222-2-2-4-22-2-2-422242-200-2200000000000000000000000000000000000000000000000000
χ7944-4-44-244-4-44-4-4-24-2-2-222-2-4422-2424-4-2-22-422-22-200-2200000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-4-4-2422-222-2-4422-2-4-2-4422-24-2-222-2002-200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-4422-2-2-2-2122-22-2-1-11-22-221122-1-1-2-11001-100003i−3i−3i3i0000−3i3i3i−3i0000000000000000000000000000000000
χ8244-4-44-2-24-4-4422-2-2-2-2122-22-2-1-11-22-221122-1-1-2-11001-10000−3i3i3i−3i00003i−3i−3i3i0000000000000000000000000000000000
χ8344-4-44-2-2-444-422-2-222122-22-2-1-112-22-2-1-1-2-2112-1100-1100−2i32i3i3−i3i3−i3002i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ8444-4-44-2-2-444-422-2-222122-22-2-1-112-22-2-1-1-2-2112-1100-11002i3−2i3−i3i3−i3i300−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ858-800088000000-8-80080000000-80000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000−4i34i3-8400-400000−4i34i340000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-400004i3−4i3-8400-4000004i3−4i340000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000004-843−43-400000004000043−430000000000000000000000000000000000000000000000000000000000000
χ898-8000-480000004-8−4343-4000000040000−43430000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−432000002i3−2i3-20000−2323006i−6i000000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−43432000002i3−2i3-2000023−2300−6i6i000000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−43200000−2i32i3-20000−232300−6i6i000000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−4343200000−2i32i3-2000023−23006i−6i000000000000000000000000000000000000000000000000000000000

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