Learn more

The results below are complete, since the LMFDB contains all transitive groups of degree at most 47 (except 32)

Refine search


Results (displaying both matches)

  displayed columns for results
Label Name Order Parity Solvable Subfields Low Degree Siblings
36T81243 $C_2^{10}.A_4^3:A_4.D_4$ $169869312$ $-1$ $S_3$, $S_4\times C_2$, $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$, $C_6^3:S_4$ 36T81243 x 7, 36T81536 x 8
36T81536 $C_2^{10}.A_4^3:A_4.D_4$ $169869312$ $-1$ $S_3$, $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$, $C_2\times A_4^3:S_4$ 36T81243 x 8, 36T81536 x 7
  displayed columns for results

Results are complete for degrees $\leq 23$.