Finite Group Databasebeta

← Group #11865064

Character table — Group #11865064

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order122223344446666121236666666612121212121212121212124466121212121212121212121212121212121212222222442466666666881212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111111111-1-1
χ911-1-1111-1-1111111111-1-1-1-11111111-1-1-1-111111-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11-11-11-11-111-1-1111-1-1-11-111-1-11-11-11-1
χ1011-1-1111-1-1111111111-1-1-1-11111111-1-1-1-111111-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-11-111-1-1111-1-111-11-1-1-11-1-111-11-11-11
χ1111-1-1111-1-1111111111-1-1-1-11111111-1-1-1-111111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-11-1-111-1-1-111-1-11-1111-111-1-1-11-11-11
χ1211-1-1111-1-1111111111-1-1-1-11111111-1-1-1-111111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-11-11-11-1-111-1-1-1111-11-1-1111-11-11-1
χ1311-1-1111-1-1111111111-1-1-1-11111111-1-1-1-11111-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11-11-1-111-111-1-1-1-1-11111-1-1-1111-11-1-11
χ1411-1-1111-1-1111111111-1-1-1-11111111-1-1-1-11111-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-11-11-11-1111-1-1-1-11-111-1111-1-1-11-111-1
χ1511-1-1111-1-1111111111-1-1-1-11111111-1-1-1-11111-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-11-11-11-1-1-11111-11-1-11-1-1-111-11-111-1
χ1611-1-1111-1-1111111111-1-1-1-11111111-1-1-1-11111-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-11-111-1-11-1-111111-1-1-1-1111-1-11-11-1-11
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-20000000000002-22-2000000002-22-2000000000000000000
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-2000000000000-22-2200000000-22-22000000000000000000
χ19222222-12222-1-12-122-122-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222200002200-1-1-1-1-1-100-1-1000000000000
χ20222222-12222-1-12-122-122-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2001111110011000000000000
χ21222222-12222-1-12-122-122-1-12-1-1-12-1-122-1-1-1-1-1-1-2-2-1-11111-1-1-2-21111-2-2111122220000-2-200-1-1-1-1110011000000000000
χ22222222-12222-1-12-122-122-1-12-1-1-12-1-122-1-1-1-1-1-1-2-2-1-11111-1-1-2-21111-2-21111-2-2-2-2000022001111-1-100-1-1000000000000
χ23222222-1-2-2-2-2-1-12-1-2-2-122-1-12-1-1-1-211-2-211111100-1-1−i3i3−i3i31100−i3−i3i3i300−i3−i3i3i32-22-200000000-11-11−i3i300−i3i3000000000000
χ24222222-1-2-2-2-2-1-12-1-2-2-122-1-12-1-1-1-211-2-211111100-1-1−i3i3−i3i31100−i3−i3i3i300−i3−i3i3i3-22-22000000001-11-1i3−i300i3−i3000000000000
χ25222222-1-2-2-2-2-1-12-1-2-2-122-1-12-1-1-1-211-2-211111100-1-1i3−i3i3−i31100i3i3−i3−i300i3i3−i3−i32-22-200000000-11-11i3−i300i3−i3000000000000
χ26222222-1-2-2-2-2-1-12-1-2-2-122-1-12-1-1-1-211-2-211111100-1-1i3−i3i3−i31100i3i3−i3−i300i3i3−i3−i3-22-22000000001-11-1−i3i300−i3i3000000000000
χ2722222-12222222-12-1-1-1-1-122-1-1-1-1-122-1-122-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200-1-10000002200-1-1-1-1-1-1000000
χ2822222-12222222-12-1-1-1-1-122-1-1-1-1-122-1-122-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20011000000-2-200111111000000
χ2922222-12222222-12-1-1-1-1-122-1-1-1-1-122-1-122-1-1-1-1-2-2-1-1-2-2-2-2-1-11111111111110000222200-1-1000000-2-200-1-11111000000
χ3022222-12222222-12-1-1-1-1-122-1-1-1-1-122-1-122-1-1-1-1-2-2-1-1-2-2-2-2-1-11111111111110000-2-2-2-20011000000220011-1-1-1-1000000
χ31222-2-2222-22-2-2-2222222-22-2-22-2-2-22-22-22-222-2-2002-200002-2000000000000000000000000000000000000000022-2-200
χ32222-2-2222-22-2-2-2222222-22-2-22-2-2-22-22-22-222-2-2002-200002-20000000000000000000000000000000000000000-2-22200
χ33222-2-222-22-22-2-222-2-222-22-2-22-2-22-22-22-22-2-222002-20000-22000000000000000022-2-200220000000000-2-20000000000
χ34222-2-222-22-22-2-222-2-222-22-2-22-2-22-22-22-22-2-222002-20000-220000000000000000-2-22200-2-20000000000220000000000
χ35222-2-2-12-22-22-2-2-1211-1-112-21-111-1-221-1-2211-1-100-1100001-13−33−33−33−33−33−3000022-2-200-1-10000000000113−33−3000000
χ36222-2-2-12-22-22-2-2-1211-1-112-21-111-1-221-1-2211-1-100-1100001-13−33−33−33−33−33−30000-2-22200110000000000-1-1−33−33000000
χ37222-2-2-12-22-22-2-2-1211-1-112-21-111-1-221-1-2211-1-100-1100001-1−33−33−33−33−33−33000022-2-200-1-1000000000011−33−33000000
χ38222-2-2-12-22-22-2-2-1211-1-112-21-111-1-221-1-2211-1-100-1100001-1−33−33−33−33−33−330000-2-22200110000000000-1-13−33−3000000
χ3922-22-2222-2-22-2-222-2-22-22-22-22-2-22-222-22-2-2-22200-2200002-200000000000000002-2-22002-20000000000-220000000000
χ4022-22-2222-2-22-2-222-2-22-22-22-22-2-22-222-22-2-2-22200-2200002-20000000000000000-222-200-2200000000002-20000000000
χ4122-22-222-222-2-2-222222-22-22-22-2-2-22-2-22-2222-2-200-220000-2200000000000000000000000000000000000000002-2-2200
χ4222-22-222-222-2-2-222222-22-22-22-2-2-22-2-22-2222-2-200-220000-220000000000000000000000000000000000000000-222-200
χ4322-22-2-122-2-22-2-2-1211-11-1-221-111-1-22-112-211-1-1001-10000-113−33−33−3−33−33−3300002-2-2200-1100000000001-13−3−33000000
χ4422-22-2-122-2-22-2-2-1211-11-1-221-111-1-22-112-211-1-1001-10000-113−33−33−3−33−33−330000-222-2001-10000000000-11−333−3000000
χ4522-22-2-122-2-22-2-2-1211-11-1-221-111-1-22-112-211-1-1001-10000-11−33−33−333−33−33−300002-2-2200-1100000000001-1−333−3000000
χ4622-22-2-122-2-22-2-2-1211-11-1-221-111-1-22-112-211-1-1001-10000-11−33−33−333−33−33−30000-222-2001-10000000000-113−3−33000000
χ4722-2-222222-2-22222-2-22-2-2-2-22222-2-2-22222-2-2-2-200-2-20000220000000000002-2-22000000002-2-22000000000000000000
χ4822-2-222222-2-22222-2-22-2-2-2-22222-2-2-22222-2-2-2-200-2-2000022000000000000-222-200000000-222-2000000000000000000
χ4922-2-222-122-2-2-1-12-1-2-2-1-2-2112-1-1-1-21122-1-111110011−i3i3i3−i3-1-100−i3−i3i3i300i3i3−i3−i32-2-2200000000-111-1−i3i300i3−i3000000000000
χ5022-2-222-122-2-2-1-12-1-2-2-1-2-2112-1-1-1-21122-1-111110011−i3i3i3−i3-1-100−i3−i3i3i300i3i3−i3−i3-222-2000000001-1-11i3−i300−i3i3000000000000
χ5122-2-222-122-2-2-1-12-1-2-2-1-2-2112-1-1-1-21122-1-111110011i3−i3−i3i3-1-100i3i3−i3−i300−i3−i3i3i32-2-2200000000-111-1i3−i300−i3i3000000000000
χ5222-2-222-122-2-2-1-12-1-2-2-1-2-2112-1-1-1-21122-1-111110011i3−i3−i3i3-1-100i3i3−i3−i300−i3−i3i3i3-222-2000000001-1-11−i3i300i3−i3000000000000
χ5322-2-222-1-2-222-1-12-122-1-2-2112-1-1-12-1-1-2-211-1-1-1-12-211-1-1111122-1-1-1-1-2-2111122-2-200002-200-1-111-1-10011000000000000
χ5422-2-222-1-2-222-1-12-122-1-2-2112-1-1-12-1-1-2-211-1-1-1-12-211-1-1111122-1-1-1-1-2-21111-2-2220000-220011-1-11100-1-1000000000000
χ5522-2-222-1-2-222-1-12-122-1-2-2112-1-1-12-1-1-2-211-1-1-1-1-221111-1-111-2-2111122-1-1-1-122-2-20000-2200-1-1111100-1-1000000000000
χ5622-2-222-1-2-222-1-12-122-1-2-2112-1-1-12-1-1-2-211-1-1-1-1-221111-1-111-2-2111122-1-1-1-1-2-22200002-20011-1-1-1-10011000000000000
χ5722-2-22-12-2-22222-12-1-1-111-2-2-1-1-1-1-12211-2-2-1-1-1-12-21122-2-211-1-1-1-1-1-111111100002-22-200-110000002-200-11-1-111000000
χ5822-2-22-12-2-22222-12-1-1-111-2-2-1-1-1-1-12211-2-2-1-1-1-12-21122-2-211-1-1-1-1-1-11111110000-22-22001-1000000-22001-111-1-1000000
χ5922-2-22-12-2-22222-12-1-1-111-2-2-1-1-1-1-12211-2-2-1-1-1-1-2211-2-22211111111-1-1-1-1-1-100002-22-200-11000000-2200-1111-1-1000000
χ6022-2-22-12-2-22222-12-1-1-111-2-2-1-1-1-1-12211-2-2-1-1-1-1-2211-2-22211111111-1-1-1-1-1-10000-22-22001-10000002-2001-1-1-111000000
χ6144444-24-4-4-4-444-2422-2-2-244-2-2-2-22-4-422-4-4222200-2-20000220000000000000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-2-211114411-2-2-2-211-2-21111-2-211110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-2-21111-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-21112222222-1-1-1-10011−2i32i3−2i32i3-1-100i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-21112222222-1-1-1-100112i3−2i32i3−2i3-1-100−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000
χ66444-4-44-24-44-4224-244-24-4-22-4-222-4-224-4-22-2-22200-220000-220000000000000000000000000000000000000000000000
χ67444-4-44-2-44-44224-2-4-4-24-4-22-4-22242-2-442-222-2-200-2200002-20000000000000000000000000000000000000000000000
χ68444-4-4-244-44-4-4-4-24-2-2-2-224-42-22224-4-224-4-2-22200-220000-220000000000000000000000000000000000000000000000
χ69444-4-4-2-24-44-422-2-2-2-21-22-2221-1-12-22-22-2211-1-1001-100001-1003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000
χ70444-4-4-2-24-44-422-2-2-2-21-22-2221-1-12-22-22-2211-1-1001-100001-100−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000
χ71444-4-4-2-2-44-4422-2-2221-22-2221-1-1-22-22-22-2-1-111001-10000-1123−23−33−3323−23−33−330000000000000000000000000000000000
χ72444-4-4-2-2-44-4422-2-2221-22-2221-1-1-22-22-22-2-1-111001-10000-11−23233−33−3−23233−33−30000000000000000000000000000000000
χ7344-44-44-24-4-44224-2-4-4-2-442-2-4-22242-24-4-2222-2-2002-20000-220000000000000000000000000000000000000000000000
χ7444-44-44-2-444-4224-244-2-442-2-4-222-4-22-442-2-2-222002-200002-20000000000000000000000000000000000000000000000
χ7544-44-4-24-444-4-4-4-24-2-2-22-2-442-22224-42-2-44-2-222002-200002-20000000000000000000000000000000000000000000000
χ7644-44-4-2-24-4-4422-2-22212-22-221-1-1-22-2-22-22-1-11100-1100001-123−23−33−33−23233−33−30000000000000000000000000000000000
χ7744-44-4-2-24-4-4422-2-22212-22-221-1-1-22-2-22-22-1-11100-1100001-1−23233−33−323−23−33−330000000000000000000000000000000000
χ7844-44-4-2-2-444-422-2-2-2-212-22-221-1-12-222-22-211-1-100-110000-11003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000
χ7944-44-4-2-2-444-422-2-2-2-212-22-221-1-12-222-22-211-1-100-110000-1100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000
χ8044-4-44-2444-4-444-2422-222-4-4-2-2-2-22-4-4-2-244222200220000-2-20000000000000000000000000000000000000000000000
χ8144-4-44-2-244-4-4-2-2-2-22212222-2111222-2-2-2-2-1-1-1-100-1-1−2i32i32i3−2i31100i3i3−i3−i300−i3−i3i3i30000000000000000000000000000000000
χ8244-4-44-2-244-4-4-2-2-2-22212222-2111222-2-2-2-2-1-1-1-100-1-12i3−2i3−2i32i31100−i3−i3i3i300i3i3−i3−i30000000000000000000000000000000000
χ8344-4-44-2-2-4-444-2-2-2-2-2-212222-2111-2-2-2222211114-4-1-1-2-222-1-1-2-2111122-1-1-1-10000000000000000000000000000000000
χ8444-4-44-2-2-4-444-2-2-2-2-2-212222-2111-2-2-222221111-44-1-122-2-2-1-122-1-1-1-1-2-211110000000000000000000000000000000000
χ858-800088000000-8-800800000-8000000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000−4i34i3-8400-4000004−4i34i30000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-400004i3−4i3-8400-40000044i3−4i30000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000004-843−43-400000400000000043−430000000000000000000000000000000000000000000000000000000000
χ898-8000-480000004-8−4343-4000004000000000−43430000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−43200000-22i3−2i30000000−23236i−6i00000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−4343200000-22i3−2i3000000023−23−6i6i00000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−43200000-2−2i32i30000000−2323−6i6i00000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−4343200000-2−2i32i3000000023−236i−6i00000000000000000000000000000000000000000000000000000000

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