The smallest Suzuki group, $ Sz(8) $, is a simple finite group of order $$ 29120 $$ The Schur multiplier of $ Sz(8) $ is $ 2 \times 2 $. So the Schur cover of $ Sz(8) $ is a quasisimple group of order $$ 116480 $$ (it is the only quasisimple group of that order, in fact it is the only perfect group of that order)
When looking for the character table of a quasi simple group GAP usually struggles to display the character table of SchurCover(G). For example GAP displays multiple
"#I Coset table calculation failed -- trying with bigger table limit"
errors before finally giving up when I try to directly compute the character table for the Schur cover of $ G:=Sz(8) $. I originally encountered the same issue for $ SchurCover(PSL(3,4)) $. But as Derek Holt points out in this question
Covering group of $\mathrm{PSL}(3,4)$.
$ SchurCover(PSL(3,4)) $ is easily recognized as
$$ PerfectGroup(967680,4) $$
To my great surprise GAP is able to calculate and display the character table of $ PerfectGroup(967680,4) $ in only a few seconds.
I have identified $ SchurCover(Sz(8)) $ as $ PerfectGroup(116480,1) $. Strangely GAP is struggling to display the character table for $ PerfectGroup(116480,1) $ even though the group is an order of magnitude smaller than $ PerfectGroup(967680,4) $
How can I display the character table for the Schur cover of $ Sz(8) $? Is there a better approach to finding it in GAP?
If not does anyone know a reference for the character table of the Schur cover of $ Sz(8) $?