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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
27648.fm.1a $1$ R \(\Q\) 27648.fm.1a $(C_2^2\times D_6).S_4^2$ $C_1$ $1$ not computed $27648$ not computed
27648.fm.1b $1$ R \(\Q\) 27648.fm.1b $(C_2^2\times D_6).S_4^2$ $C_2$ $2$ not computed $13824$ not computed
27648.fm.1c $1$ R \(\Q\) 27648.fm.1c $(C_2^2\times D_6).S_4^2$ $C_2$ $2$ not computed $13824$ not computed
27648.fm.1d $1$ R \(\Q\) 27648.fm.1d $(C_2^2\times D_6).S_4^2$ $C_2$ $2$ not computed $13824$ not computed
27648.fm.1e $1$ R \(\Q\) 27648.fm.1e $(C_2^2\times D_6).S_4^2$ $C_2$ $2$ not computed $13824$ not computed
27648.fm.1f $1$ R \(\Q\) 27648.fm.1f $(C_2^2\times D_6).S_4^2$ $C_2$ $2$ not computed $13824$ not computed
27648.fm.1g $1$ R \(\Q\) 27648.fm.1g $(C_2^2\times D_6).S_4^2$ $C_2$ $2$ not computed $13824$ not computed
27648.fm.1h $1$ R \(\Q\) 27648.fm.1h $(C_2^2\times D_6).S_4^2$ $C_2$ $2$ not computed $13824$ not computed
27648.fm.2a $2$ R \(\Q\) 27648.fm.2a $(C_2^2\times D_6).S_4^2$ $S_3$ $6$ not computed $4608$ not computed
27648.fm.2b $2$ R \(\Q\) 27648.fm.2b $(C_2^2\times D_6).S_4^2$ $S_3$ $6$ not computed $4608$ not computed
27648.fm.2c $2$ R \(\Q\) 27648.fm.2c $(C_2^2\times D_6).S_4^2$ $S_3$ $6$ not computed $4608$ not computed
27648.fm.2d $2$ R \(\Q\) 27648.fm.2d $(C_2^2\times D_6).S_4^2$ $D_6$ $12$ not computed $2304$ not computed
27648.fm.2e $2$ R \(\Q\) 27648.fm.2e $(C_2^2\times D_6).S_4^2$ $D_6$ $12$ not computed $2304$ not computed
27648.fm.2f $2$ R \(\Q\) 27648.fm.2f $(C_2^2\times D_6).S_4^2$ $D_6$ $12$ not computed $2304$ not computed
27648.fm.2g $2$ R \(\Q\) 27648.fm.2g $(C_2^2\times D_6).S_4^2$ $D_6$ $12$ not computed $2304$ not computed
27648.fm.2h $2$ R \(\Q\) 27648.fm.2h $(C_2^2\times D_6).S_4^2$ $D_6$ $12$ not computed $2304$ not computed
27648.fm.2i $2$ R \(\Q\) 27648.fm.2i $(C_2^2\times D_6).S_4^2$ $D_6$ $12$ not computed $2304$ not computed
27648.fm.2j $2$ R \(\Q\) 27648.fm.2j $(C_2^2\times D_6).S_4^2$ $D_6$ $12$ not computed $2304$ not computed
27648.fm.2k $2$ R \(\Q\) 27648.fm.2k $(C_2^2\times D_6).S_4^2$ $D_6$ $12$ not computed $2304$ not computed
27648.fm.2l $2$ R \(\Q\) 27648.fm.2l $(C_2^2\times D_6).S_4^2$ $D_6$ $12$ not computed $2304$ not computed
27648.fm.3a $3$ R \(\Q\) 27648.fm.3a $(C_2^2\times D_6).S_4^2$ $24$ not computed $1152$ not computed
27648.fm.3b $3$ R \(\Q\) 27648.fm.3b $(C_2^2\times D_6).S_4^2$ $24$ not computed $1152$ not computed
27648.fm.3c $3$ R \(\Q\) 27648.fm.3c $(C_2^2\times D_6).S_4^2$ $24$ not computed $1152$ not computed
27648.fm.3d $3$ R \(\Q\) 27648.fm.3d $(C_2^2\times D_6).S_4^2$ $24$ not computed $1152$ not computed
27648.fm.3e $3$ R \(\Q\) 27648.fm.3e $(C_2^2\times D_6).S_4^2$ $C_2\times S_4$ $48$ not computed $576$ not computed
27648.fm.3f $3$ R \(\Q\) 27648.fm.3f $(C_2^2\times D_6).S_4^2$ $C_2\times S_4$ $48$ not computed $576$ not computed
27648.fm.3g $3$ R \(\Q\) 27648.fm.3g $(C_2^2\times D_6).S_4^2$ $C_2\times S_4$ $48$ not computed $576$ not computed
27648.fm.3h $3$ R \(\Q\) 27648.fm.3h $(C_2^2\times D_6).S_4^2$ $C_2\times S_4$ $48$ not computed $576$ not computed
27648.fm.3i $3$ R \(\Q\) 27648.fm.3i $(C_2^2\times D_6).S_4^2$ $C_2\times S_4$ $48$ not computed $576$ not computed
27648.fm.3j $3$ R \(\Q\) 27648.fm.3j $(C_2^2\times D_6).S_4^2$ $C_2\times S_4$ $48$ not computed $576$ not computed
27648.fm.3k $3$ R \(\Q\) 27648.fm.3k $(C_2^2\times D_6).S_4^2$ $C_2\times S_4$ $48$ not computed $576$ not computed
27648.fm.3l $3$ R \(\Q\) 27648.fm.3l $(C_2^2\times D_6).S_4^2$ $C_2\times S_4$ $48$ not computed $576$ not computed
27648.fm.3m $3$ R \(\Q\) 27648.fm.3m $(C_2^2\times D_6).S_4^2$ $C_2\times S_4$ $48$ not computed $576$ not computed
27648.fm.3n $3$ R \(\Q\) 27648.fm.3n $(C_2^2\times D_6).S_4^2$ $C_2\times S_4$ $48$ not computed $576$ not computed
27648.fm.3o $3$ R \(\Q\) 27648.fm.3o $(C_2^2\times D_6).S_4^2$ $C_2\times S_4$ $48$ not computed $576$ not computed
27648.fm.3p $3$ R \(\Q\) 27648.fm.3p $(C_2^2\times D_6).S_4^2$ $C_2\times S_4$ $48$ not computed $576$ not computed
27648.fm.4a $4$ R \(\Q\) 27648.fm.4a $(C_2^2\times D_6).S_4^2$ $S_3^2$ $36$ not computed $768$ not computed
27648.fm.4b $4$ R \(\Q\) 27648.fm.4b $(C_2^2\times D_6).S_4^2$ $S_3^2$ $36$ not computed $768$ not computed
27648.fm.4c $4$ R \(\Q\) 27648.fm.4c $(C_2^2\times D_6).S_4^2$ $S_3^2$ $36$ not computed $768$ not computed
27648.fm.4d $4$ R \(\Q\) 27648.fm.4d $(C_2^2\times D_6).S_4^2$ $384$ not computed $72$ not computed
27648.fm.4e $4$ R \(\Q\) 27648.fm.4e $(C_2^2\times D_6).S_4^2$ $384$ not computed $72$ not computed
27648.fm.4f $4$ R \(\Q\) 27648.fm.4f $(C_2^2\times D_6).S_4^2$ $384$ not computed $72$ not computed
27648.fm.4g $4$ R \(\Q\) 27648.fm.4g $(C_2^2\times D_6).S_4^2$ $384$ not computed $72$ not computed
27648.fm.4h $4$ R \(\Q\) 27648.fm.4h $(C_2^2\times D_6).S_4^2$ $384$ not computed $72$ not computed
27648.fm.4i $4$ R \(\Q\) 27648.fm.4i $(C_2^2\times D_6).S_4^2$ $384$ not computed $72$ not computed
27648.fm.4j $4$ R \(\Q\) 27648.fm.4j $(C_2^2\times D_6).S_4^2$ $384$ not computed $72$ not computed
27648.fm.4k $4$ R \(\Q\) 27648.fm.4k $(C_2^2\times D_6).S_4^2$ $384$ not computed $72$ not computed
27648.fm.4l $4$ R \(\Q\) 27648.fm.4l $(C_2^2\times D_6).S_4^2$ $S_3\times D_6$ $72$ not computed $384$ not computed
27648.fm.4m $4$ R \(\Q\) 27648.fm.4m $(C_2^2\times D_6).S_4^2$ $S_3\times D_6$ $72$ not computed $384$ not computed
27648.fm.4n $4$ R \(\Q\) 27648.fm.4n $(C_2^2\times D_6).S_4^2$ $S_3\times D_6$ $72$ not computed $384$ not computed
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