Finite Group Databasebeta

← Group #11865413

Character table — Group #11865413

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order1222233444466661212366666666121212121212121212121244661212121212121212121212121212121212122222444444446666121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-11-11-11-11-11-11-11-11-11-11-111-1-111-1-11-11-11-1
χ101111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-11-1-111-1-111-1-111-1-11-111-111-1-1-1-111-11-11-11
χ111111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-111-1-111-1-111-1-111-11-1-11-1-11111-1-1-11-11-11
χ121111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-11-11-11-11-11-11-11-11-11-11-1-111-1-1111-11-11-1
χ131111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111111-11-11-11-1-11-111-11-11-11-1-1-111-1-1111-11-1-11
χ141111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111111-1-111-1-11-111-11-1-11-111-1-1-11111-1-1-11-111-1
χ151111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111-111-1-111-11-1-11-111-11-1-1111-1-1-1-111-11-111-1
χ161111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111-11-11-11-111-11-1-11-11-11-1111-1-111-1-11-11-1-11
χ17222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022002200-1-1-1-1000000-1-1-1-1000000
χ18222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200-2-20011110000001111000000
χ19222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-1-1-2-2-2-2-1-11111111111110022002200-2-200-1-1-1-10000001111000000
χ20222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-1-1-2-2-2-2-1-111111111111100-2-200-2-20022001111000000-1-1-1-1000000
χ21222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-2-211112-2-1-122-2-211-1-1-1-1-1-1111111002-2002-2002-200-11-11000000-1-111000000
χ22222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-2-211112-2-1-122-2-211-1-1-1-1-1-111111100-2200-2200-22001-11-100000011-1-1000000
χ23222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-2-21111-22-1-1-2-22211111111-1-1-1-1-1-1002-2002-200-2200-11-1100000011-1-1000000
χ24222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-2-21111-22-1-1-2-22211111111-1-1-1-1-1-100-2200-22002-2001-11-1000000-1-111000000
χ2522222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1220022002200-1-10000-1-1-1-1-1-10000000000
χ2622222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-200-2-200-2-2001100001111110000000000
χ2722222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-11111-1-1-2-21111-2-2111122002200-2-200-1-10000-1-111110000000000
χ2822222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-11111-1-1-2-21111-2-21111-2-200-2-200220011000011-1-1-1-10000000000
χ2922222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-2-2111111112-2-1-1-1-1111122-1-1-1-1-2-211112-2002-2002-200-110000-11-1-1110000000000
χ3022222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-2-2111111112-2-1-1-1-1111122-1-1-1-1-2-21111-2200-2200-22001-100001-111-1-10000000000
χ3122222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-2-211111111-22-1-111-1-111-2-2111122-1-1-1-12-2002-200-2200-110000-1111-1-10000000000
χ3222222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-2-211111111-22-1-111-1-111-2-2111122-1-1-1-1-2200-22002-2001-100001-1-1-1110000000000
χ33222-2-22222-2-22222222-2-2-22222-22-2-222-2-2222200-2-20000-2-20000000000002200-2-2000000220000-2-200000000000000
χ34222-2-22222-2-22222222-2-2-22222-22-2-222-2-2222200-2-20000-2-2000000000000-2-20022000000-2-200002200000000000000
χ35222-2-222-2-2222222-2-22-2-2-22222-2-222-2-222-2-2-2-200-2-20000220000000000002-200-220000002-20000-2200000000000000
χ36222-2-222-2-2222222-2-22-2-2-22222-2-222-2-222-2-2-2-200-2-2000022000000000000-22002-2000000-2200002-200000000000000
χ37222-2-2-1222-2-2-1-12-122-111-22-1-1-1-22-2-2-1-111-1-1-1-10011−i3i3−i3i31100−i3−i3i3i300−i3−i3i3i32200-2-2000000-1-1000011−i3i3−i3i30000000000
χ38222-2-2-1222-2-2-1-12-122-111-22-1-1-1-22-2-2-1-111-1-1-1-10011−i3i3−i3i31100−i3−i3i3i300−i3−i3i3i3-2-20022000000110000-1-1i3−i3i3−i30000000000
χ39222-2-2-1222-2-2-1-12-122-111-22-1-1-1-22-2-2-1-111-1-1-1-10011i3−i3i3−i31100i3i3−i3−i300i3i3−i3−i32200-2-2000000-1-1000011i3−i3i3−i30000000000
χ40222-2-2-1222-2-2-1-12-122-111-22-1-1-1-22-2-2-1-111-1-1-1-10011i3−i3i3−i31100i3i3−i3−i300i3i3−i3−i3-2-20022000000110000-1-1−i3i3−i3i30000000000
χ41222-2-2-12-2-222-1-12-1-2-2-111-22-1-1-1-2-22211-1-111110011−i3i3i3−i3-1-100−i3−i3i3i300i3i3−i3−i32-200-22000000-1100001-1−i3i3i3−i30000000000
χ42222-2-2-12-2-222-1-12-1-2-2-111-22-1-1-1-2-22211-1-111110011−i3i3i3−i3-1-100−i3−i3i3i300i3i3−i3−i3-22002-20000001-10000-11i3−i3−i3i30000000000
χ43222-2-2-12-2-222-1-12-1-2-2-111-22-1-1-1-2-22211-1-111110011i3−i3−i3i3-1-100i3i3−i3−i300−i3−i3i3i32-200-22000000-1100001-1i3−i3−i3i30000000000
χ44222-2-2-12-2-222-1-12-1-2-2-111-22-1-1-1-2-22211-1-111110011i3−i3−i3i3-1-100i3i3−i3−i300−i3−i3i3i3-22002-20000001-10000-11−i3i3i3−i30000000000
χ4522-22-2222-22-2-2-2222222-2-2-22-2-22-22-22-22-222-2-2002-200002-2000000000000000000000000000000000000000022-2-200
χ4622-22-2222-22-2-2-2222222-2-2-22-2-22-22-22-22-222-2-2002-200002-20000000000000000000000000000000000000000-2-22200
χ4722-22-222-22-22-2-222-2-222-2-2-22-2-222-22-22-22-2-222002-20000-2200000000000000000000000000000000000000002-2-2200
χ4822-22-222-22-22-2-222-2-222-2-2-22-2-222-22-22-22-2-222002-20000-220000000000000000000000000000000000000000-222-200
χ4922-2-22222-2-22-2-222222-222-22-2-2-2-2-222-2-2222-2-200-220000-22000000000000002-200-220000002-2-220000000000000000
χ5022-2-22222-2-22-2-222222-222-22-2-2-2-2-222-2-2222-2-200-220000-2200000000000000-22002-2000000-222-20000000000000000
χ5122-2-2222-222-2-2-222-2-22-222-22-2-2-222-2-222-2-2-22200-2200002-2000000000000002200-2-200000022-2-20000000000000000
χ5222-2-2222-222-2-2-222-2-22-222-22-2-2-222-2-222-2-2-22200-2200002-200000000000000-2-20022000000-2-2220000000000000000
χ5322-2-222-12-2-22-2-2-12-1-1-1-22-11-111111-12-2-22-1-111001-100001-13−33−33−33−33−33−3002-200-22000000-111-10000003−33−3000000
χ5422-2-222-12-2-22-2-2-12-1-1-1-22-11-111111-12-2-22-1-111001-100001-13−33−33−33−33−33−300-22002-20000001-1-11000000−33−33000000
χ5522-2-222-12-2-22-2-2-12-1-1-1-22-11-111111-12-2-22-1-111001-100001-1−33−33−33−33−33−33002-200-22000000-111-1000000−33−33000000
χ5622-2-222-12-2-22-2-2-12-1-1-1-22-11-111111-12-2-22-1-111001-100001-1−33−33−33−33−33−3300-22002-20000001-1-110000003−33−3000000
χ5722-2-222-1-222-2-2-2-1211-1-22-11-1111-1-11-222-211-1-1001-10000-113−33−33−3−33−33−33002200-2-2000000-1-1110000003−3−33000000
χ5822-2-222-1-222-2-2-2-1211-1-22-11-1111-1-11-222-211-1-1001-10000-113−33−33−3−33−33−3300-2-2002200000011-1-1000000−333−3000000
χ5922-2-222-1-222-2-2-2-1211-1-22-11-1111-1-11-222-211-1-1001-10000-11−33−33−333−33−33−3002200-2-2000000-1-111000000−333−3000000
χ6022-2-222-1-222-2-2-2-1211-1-22-11-1111-1-11-222-211-1-1001-10000-11−33−33−333−33−33−300-2-2002200000011-1-10000003−3−33000000
χ6144444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-211114411-2-2-2-211-2-21111-2-211110000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-21111-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ6344444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-22222222-1-1-1-14-411-2-222-1-1-2-2111122-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-22222222-1-1-1-1-441122-2-2-1-122-1-1-1-1-2-211110000000000000000000000000000000000
χ65444-4-44-244-4-444-24-2-2-2-4-42-2-2-2-22-22244-4-4-2-2-2-200220000220000000000000000000000000000000000000000000000
χ66444-4-44-2-4-44444-2422-2-4-42-2-2-2-222-2-2-4-444222200220000-2-20000000000000000000000000000000000000000000000
χ67444-4-4-2-244-4-4-2-2-2-2-2-21222-21112-222-2-222111100-1-1−2i32i3−2i32i3-1-100i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000
χ68444-4-4-2-244-4-4-2-2-2-2-2-21222-21112-222-2-222111100-1-12i3−2i32i3−2i3-1-100−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000
χ69444-4-4-2-2-4-444-2-2-2-2221222-211122-2-222-2-2-1-1-1-100-1-1−2i32i32i3−2i31100i3i3−i3−i300−i3−i3i3i30000000000000000000000000000000000
χ70444-4-4-2-2-4-444-2-2-2-2221222-211122-2-222-2-2-1-1-1-100-1-12i3−2i3−2i32i31100−i3−i3i3i300i3i3−i3−i30000000000000000000000000000000000
χ7144-44-44-24-44-4-4-4-24-2-2-24-422-222-22-224-44-4-2-22200-220000-220000000000000000000000000000000000000000000000
χ7244-44-44-2-44-44-4-4-2422-24-422-222-2-22-2-44-4422-2-200-2200002-20000000000000000000000000000000000000000000000
χ7344-44-4-244-44-4224-244-2-22-4-4-2224-44-4-22-22-2-22200-220000-220000000000000000000000000000000000000000000000
χ7444-44-4-24-44-44224-2-4-4-2-22-4-4-22244-442-22-222-2-200-2200002-20000000000000000000000000000000000000000000000
χ7544-44-4-2-24-44-422-2-2-2-21-22221-1-1-22-22-22-2211-1-1001-100001-1003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000
χ7644-44-4-2-24-44-422-2-2-2-21-22221-1-1-22-22-22-2211-1-1001-100001-100−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000
χ7744-44-4-2-2-44-4422-2-2221-22221-1-1-2-22-22-22-2-1-111001-10000-11003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000
χ7844-44-4-2-2-44-4422-2-2221-22221-1-1-2-22-22-22-2-1-111001-10000-1100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000
χ7944-4-44-244-4-44224-244-22-24-4-222-4-4-44-222-2-2-222002-200002-20000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4224-2-4-4-22-24-4-222-444-42-2-2222-2-2002-20000-220000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-4422-2-2-2-212-2-221-1-1222-2-222-211-1-100-110000-1123−23−33−3323−23−33−330000000000000000000000000000000000
χ8244-4-44-2-24-4-4422-2-2-2-212-2-221-1-1222-2-222-211-1-100-110000-11−23233−33−3−23233−33−30000000000000000000000000000000000
χ8344-4-44-2-2-444-422-2-22212-2-221-1-12-2-222-2-22-1-11100-1100001-123−23−33−33−23233−33−30000000000000000000000000000000000
χ8444-4-44-2-2-444-422-2-22212-2-221-1-12-2-222-2-22-1-11100-1100001-1−23233−33−323−23−33−330000000000000000000000000000000000
χ858-800088000000-8-80080000-80000000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000004-843−43-400004000000000043−430000000000000000000000000000000000000000000000000000000000
χ878-80008-40000004-8−4343-4000040000000000−43430000000000000000000000000000000000000000000000000000000000
χ888-8000-480000−4i34i3-8400-400004−4i34i300000000000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004i3−4i3-8400-4000044i3−4i300000000000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−4320000-22i3−2i300000000−23236i−6i00000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−434320000-22i3−2i30000000023−23−6i6i00000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−4320000-2−2i32i300000000−2323−6i6i00000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−434320000-2−2i32i30000000023−236i−6i00000000000000000000000000000000000000000000000000000000

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