Paper submitted to LMS J. Comput. Math.
The groups are:
"3^1+12:6.Suz.2". This is the ‘main’ table in the sense that the others were produced from it.
"3^1+12.2.Suz.2". This is the maximal subgroup N(3B) of the Monster.
"3^12.6.Suz.2". (Another quotient.)
The tables should eventually be included in the GAP character table library, CTblLib.
In the mean time, they are available to download here, together with some quotient maps that might not make it into GAP, e.g., (1) to (2) and to (3), (1) to 6.Suz.2.
NotifyCharacterTableto read them into GAP.
If you need to know anything else then please ask, and I will add it.
This is the ‘main’ table in the sense that the others were produced from it.
The classes are ordered as follows: All of the classes lying above a given class X of 6.Suz:2 appear contiguously. You can think of them being labelled (X,v,l) where X is a conjugacy class of 6.Suz:2, v is in the sub-quotient 312, and l is in the centre of the extra-special 3-group. More details in the paper...