Finite Group Databasebeta

← Group #11798773

Character table — Group #11798773

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112222222444444448888888888888888888816161616162424242424242424242424244848484848487272144
order122336666344466662466121212121212121212121212121212126661212444412121212121212128824242424248
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-1111-11-111-1-111-1-11-111-1-111-1
χ611111111111111111-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-1111-11-111-1-111-1-1-11-1-111-1-11
χ711111111111111111-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-111-11-11-1-111-1-1111-111-1-1-1-11
χ811111111111111111-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-111-11-11-1-111-1-111-11-1-11111-1
χ922222222222-2-222220000-2002-2-2000000-2-22-20002-2020-200-2-20022000000000
χ1022222222222-2-222220000-2002-2-2000000-2-22-20002-20-202002200-2-2000000000
χ112222222222-22-222220000-200-22-2000000-2-2-22000-2220-20-2-2002200000000000
χ122222222222-22-222220000-200-22-2000000-2-2-22000-22-20202200-2-200000000000
χ132222222222-2-2222222-2222-2-2-2-22-2-2-2-2-2-222-2-2222-2-2000000000000000000000
χ142222222222-2-222222-22-2-2222-2-2222222222-2-2-2-2-2-2-2000000000000000000000
χ152222-12-1-1-1-12222-1-1-122-1-12-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1000000000
χ162222-12-1-1-1-12222-1-1-122-1-12-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-2-2-2-211111111000000000
χ172222-12-1-1-1-12222-1-1-1-2-211211-1-1-1-2-21111-1-122-211-1-12-22-2-1-111-1-111000000000
χ182222-12-1-1-1-12222-1-1-1-2-211211-1-1-1-2-21111-1-122-211-1-1-22-2211-1-111-1-1000000000
χ192222-12-1-1-1-12-2-22-1-1-100−i3i3-2−i3i3-11100−i3−i3i3i3112-20−i3i3-11020-2−i3i311−i3i3-1-1000000000
χ202222-12-1-1-1-12-2-22-1-1-100−i3i3-2−i3i3-11100−i3−i3i3i3112-20−i3i3-110-202i3−i3-1-1i3−i311000000000
χ212222-12-1-1-1-12-2-22-1-1-100i3−i3-2i3−i3-11100i3i3−i3−i3112-20i3−i3-11020-2i3−i311i3−i3-1-1000000000
χ222222-12-1-1-1-12-2-22-1-1-100i3−i3-2i3−i3-11100i3i3−i3−i3112-20i3−i3-110-202−i3i3-1-1−i3i311000000000
χ232222-12-1-1-1-1-22-22-1-1-100−i3i3-2i3−i31-1100i3i3−i3−i311-220−i3i31-120-2011−i3i3-1-1−i3i3000000000
χ242222-12-1-1-1-1-22-22-1-1-100−i3i3-2i3−i31-1100i3i3−i3−i311-220−i3i31-1-2020-1-1i3−i311i3−i3000000000
χ252222-12-1-1-1-1-22-22-1-1-100i3−i3-2−i3i31-1100−i3−i3i3i311-220i3−i31-120-2011i3−i3-1-1i3−i3000000000
χ262222-12-1-1-1-1-22-22-1-1-100i3−i3-2−i3i31-1100−i3−i3i3i311-220i3−i31-1-2020-1-1−i3i311−i3i3000000000
χ272222-12-1-1-1-1-2-222-1-1-12-2-1-121111-1-2-21111-1-1-2-22-1-1110000−i3i3−i3i3i3−i3i3−i3000000000
χ282222-12-1-1-1-1-2-222-1-1-12-2-1-121111-1-2-21111-1-1-2-22-1-1110000i3−i3i3−i3−i3i3−i3i3000000000
χ292222-12-1-1-1-1-2-222-1-1-1-22112-1-111-122-1-1-1-1-1-1-2-2-211110000−i3i3i3−i3i3−i3−i3i3000000000
χ302222-12-1-1-1-1-2-222-1-1-1-22112-1-111-122-1-1-1-1-1-1-2-2-211110000i3−i3−i3i3−i3i3i3−i3000000000
χ31222-12-1222-1222-1-1-1-12222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000
χ32222-12-1222-1222-1-1-1-12222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-21111000
χ33222-12-1222-1222-1-1-1-1-2-2-2-2-1-2-2222111111-1-1-1-1111-1-10000000000002-2-1-111000
χ34222-12-1222-1222-1-1-1-1-2-2-2-2-1-2-2222111111-1-1-1-1111-1-1000000000000-2211-1-1000
χ35222-12-1222-1-2-22-1-1-1-12-222-1-2-2-2-22111111-1-111-1-1-111000000000000003−33−3000
χ36222-12-1222-1-2-22-1-1-1-12-222-1-2-2-2-22111111-1-111-1-1-11100000000000000−33−33000
χ37222-12-1222-1-2-22-1-1-1-1-22-2-2-122-2-22-1-1-1-1-1-1-1-11111111000000000000003−3−33000
χ38222-12-1222-1-2-22-1-1-1-1-22-2-2-122-2-22-1-1-1-1-1-1-1-1111111100000000000000−333−3000
χ39444-24-2444-24-4-4-2-2-2-200002004-4-400000022-22000-22000000000000000000000
χ40444-24-2444-2-44-4-2-2-2-20000200-44-4000000222-20002-2000000000000000000000
χ41444-2-2-2-2-2-21444-211144-2-2-2-2-2-2-2-2-2-2111111-2-2-21111000000000000000000000
χ42444-2-2-2-2-2-21444-2111-4-422-222-2-2-222-1-1-1-111-2-22-1-111000000000000000000000
χ43444-2-2-2-2-2-214-4-4-211100−2i32i32−2i32i3-22200i3i3−i3−i3-1-1-220i3−i31-1000000000000000000000
χ44444-2-2-2-2-2-214-4-4-2111002i3−2i322i3−2i3-22200−i3−i3i3i3-1-1-220−i3i31-1000000000000000000000
χ45444-2-2-2-2-2-21-44-4-211100−2i32i322i3−2i32-2200−i3−i3i3i3-1-12-20i3−i3-11000000000000000000000
χ46444-2-2-2-2-2-21-44-4-2111002i3−2i32−2i32i32-2200i3i3−i3−i3-1-12-20−i3i3-11000000000000000000000
χ47444-2-2-2-2-2-21-4-44-21114-4-2-2-22222-222-1-1-1-11122-211-1-1000000000000000000000
χ48444-2-2-2-2-2-21-4-44-2111-4422-2-2-222-2-2-2111111222-1-1-1-1000000000000000000000
χ4944-4444-4-444000-4-4-4400000000000000000000000000000000000000000002-20
χ5044-4444-4-444000-4-4-440000000000000000000000000000000000000000000-220
χ5188-88-4844-4-4000-844-40000000000000000000000000000000000000000000000
χ5288-8-48-4-8-88-4000444-40000000000000000000000000000000000000000000000
χ5388-8-4-4-444-420004-2-2200000000000000006-60000000000000000000000000000
χ5488-8-4-4-444-420004-2-220000000000000000-660000000000000000000000000000
χ558-8088-800-88000000-80000000000000000000000000000000000000000000000
χ568-808-4-8−4i34i34-40000−4i34i340000000000000000000000000000000000000000000000
χ578-808-4-84i3−4i34-400004i3−4i340000000000000000000000000000000000000000000000
χ588-80-48400-8-40000004000000000023−2323−2323−23000000000000000000000000000000
χ598-80-48400-8-400000040000000000−2323−2323−2323000000000000000000000000000000
χ608-80-4-44−4i34i34200002i3−2i3-2000000000023−234ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000000000
χ618-80-4-44−4i34i34200002i3−2i3-20000000000−2323−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000000000
χ628-80-4-444i3−4i3420000−2i32i3-2000000000023−23−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000000000
χ638-80-4-444i3−4i3420000−2i32i3-20000000000−23232ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.