Finite Group Databasebeta

← Group #11798770

Character table — Group #11798770

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112222222444444448888888888888888888816161616162424242424242424242424244848484848487272144
order122336666344466664412121212121212121212121212121212121212121212122444661212121212128824242424248
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
χ511111111111111111-1-11-1-1111-1-1-1-1-1-1-1-11111-111-1-11-11-11111-1-1-1-11-111-1-111-1
χ611111111111111111-1-11-1-1111-1-1-1-1-1-1-1-11111-111-1-11-11-11111-1-1-1-1-11-1-111-1-11
χ711111111111111111-1-11-1-1111-1-1-1-1-1-1-1-11111-111-1-1-11-11-1-1-1-111111-111-1-1-1-11
χ811111111111111111-1-11-1-1111-1-1-1-1-1-1-1-11111-111-1-1-11-11-1-1-1-11111-11-1-11111-1
χ922222222222-2-2222200-2002-2-200000000-2-22-202-200020-20000-2-222000000000
χ1022222222222-2-2222200-2002-2-200000000-2-22-202-2000-202000022-2-2000000000
χ112222222222-22-2222200-200-22-200000000-2-2-220-220020-2022-2-20000000000000
χ122222222222-22-2222200-200-22-200000000-2-2-220-2200-2020-2-2220000000000000
χ132222222222-2-2222222-22-2-2-2-2222-2-2-2-2-2-222-2-22-2-222000000000000000000000
χ142222222222-2-222222-22222-2-22-2-222222222-2-2-2-2-2-2-2000000000000000000000
χ152222-12-1-1-1-12222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1000000000
χ162222-12-1-1-1-12222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-2-2-2-211111111000000000
χ172222-12-1-1-1-12222-1-1-1-2-2211-1-1-111-2-21111-1-122-2-1-1112-22-2-1-1-1-11111000000000
χ182222-12-1-1-1-12222-1-1-1-2-2211-1-1-111-2-21111-1-122-2-1-111-22-221111-1-1-1-1000000000
χ192222-12-1-1-1-12-2-22-1-1-100-2−i3i3-111−i3i300−i3−i3i3i3112-20-11−i3i3020-2−i3i3−i3i311-1-1000000000
χ202222-12-1-1-1-12-2-22-1-1-100-2−i3i3-111−i3i300−i3−i3i3i3112-20-11−i3i30-202i3−i3i3−i3-1-111000000000
χ212222-12-1-1-1-12-2-22-1-1-100-2i3−i3-111i3−i300i3i3−i3−i3112-20-11i3−i3020-2i3−i3i3−i311-1-1000000000
χ222222-12-1-1-1-12-2-22-1-1-100-2i3−i3-111i3−i300i3i3−i3−i3112-20-11i3−i30-202−i3i3−i3i3-1-111000000000
χ232222-12-1-1-1-1-22-22-1-1-100-2−i3i31-11i3−i300−i3−i3i3i311-2201-1i3−i320-20-1-111−i3i3−i3i3000000000
χ242222-12-1-1-1-1-22-22-1-1-100-2−i3i31-11i3−i300−i3−i3i3i311-2201-1i3−i3-202011-1-1i3−i3i3−i3000000000
χ252222-12-1-1-1-1-22-22-1-1-100-2i3−i31-11−i3i300i3i3−i3−i311-2201-1−i3i320-20-1-111i3−i3i3−i3000000000
χ262222-12-1-1-1-1-22-22-1-1-100-2i3−i31-11−i3i300i3i3−i3−i311-2201-1−i3i3-202011-1-1−i3i3−i3i3000000000
χ272222-12-1-1-1-1-2-222-1-1-12-221111-1-1-1-2-21111-1-1-2-2211-1-10000−i3i3i3−i3−i3i3i3−i3000000000
χ282222-12-1-1-1-1-2-222-1-1-12-221111-1-1-1-2-21111-1-1-2-2211-1-10000i3−i3−i3i3i3−i3−i3i3000000000
χ292222-12-1-1-1-1-2-222-1-1-1-222-1-111-11122-1-1-1-1-1-1-2-2-211110000−i3i3i3−i3i3−i3−i3i3000000000
χ302222-12-1-1-1-1-2-222-1-1-1-222-1-111-11122-1-1-1-1-1-1-2-2-211110000i3−i3−i3i3−i3i3i3−i3000000000
χ31222-12-1222-1222-1-1-1-122-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000
χ32222-12-1222-1222-1-1-1-122-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-21111000
χ33222-12-1222-1222-1-1-1-1-2-2-1-2-2222-2-2111111-1-1-1-11-1-1110000000000002-2-1-111000
χ34222-12-1222-1222-1-1-1-1-2-2-1-2-2222-2-2111111-1-1-1-11-1-111000000000000-2211-1-1000
χ35222-12-1222-1-2-22-1-1-1-12-2-1-2-2-2-2222111111-1-111-111-1-1000000000000003−33−3000
χ36222-12-1222-1-2-22-1-1-1-12-2-1-2-2-2-2222111111-1-111-111-1-100000000000000−33−33000
χ37222-12-1222-1-2-22-1-1-1-1-22-122-2-22-2-2-1-1-1-1-1-1-1-11111111000000000000003−3−33000
χ38222-12-1222-1-2-22-1-1-1-1-22-122-2-22-2-2-1-1-1-1-1-1-1-1111111100000000000000−333−3000
χ39444-24-2444-24-4-4-2-2-2-2002004-4-40000000022-220-2200000000000000000000000
χ40444-24-2444-2-44-4-2-2-2-200200-44-400000000222-202-200000000000000000000000
χ41444-2-2-2-2-2-21444-211144-2-2-2-2-2-2-2-2-2-2111111-2-2-21111000000000000000000000
χ42444-2-2-2-2-2-21444-2111-4-4-222-2-2-22222-1-1-1-111-2-2211-1-1000000000000000000000
χ43444-2-2-2-2-2-214-4-4-2111002−2i32i3-222−2i32i300i3i3−i3−i3-1-1-2201-1i3−i3000000000000000000000
χ44444-2-2-2-2-2-214-4-4-21110022i3−2i3-2222i3−2i300−i3−i3i3i3-1-1-2201-1−i3i3000000000000000000000
χ45444-2-2-2-2-2-21-44-4-2111002−2i32i32-222i3−2i300i3i3−i3−i3-1-12-20-11−i3i3000000000000000000000
χ46444-2-2-2-2-2-21-44-4-21110022i3−2i32-22−2i32i300−i3−i3i3i3-1-12-20-11i3−i3000000000000000000000
χ47444-2-2-2-2-2-21-4-44-21114-4-22222-2-2-222-1-1-1-11122-2-1-111000000000000000000000
χ48444-2-2-2-2-2-21-4-44-2111-44-2-2-222-222-2-2111111222-1-1-1-1000000000000000000000
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
χ588-80-48400-8-400000040000000000−2i32i3−2i32i3−2i32i3000000000000000000000000000000
χ598-80-48400-8-4000000400000000002i3−2i32i3−2i32i3−2i3000000000000000000000000000000
χ608-80-4-44−4i34i34200002i3−2i3-20000000000−2i32i33+i3−3−i3−3+i33−i3000000000000000000000000000000
χ618-80-4-44−4i34i34200002i3−2i3-200000000002i3−2i3−3−i33+i33−i3−3+i3000000000000000000000000000000
χ628-80-4-444i3−4i3420000−2i32i3-20000000000−2i32i3−3+i33−i33+i3−3−i3000000000000000000000000000000
χ638-80-4-444i3−4i3420000−2i32i3-200000000002i3−2i33−i3−3+i3−3−i33+i3000000000000000000000000000000

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