Galois group search results

Parity	Cyclic	Solvable	Primitive	Equivalent siblings
Degree	$T$-number	Order	Group	Nilpotency class

Results (unique match)

Label	Name	Order	Parity	Solvable	Subfields	Low Degree Siblings
12T295	$M_{12}$	$95040$	$1$	no		12T295

Results are complete for degrees $\leq 23$.