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Results (displaying both matches)

  displayed columns for results
Label Name Order Parity Solvable Subfields Low Degree Siblings
30T180 $C_6\times S_5$ $720$ $-1$ $C_2$, $C_3$, $S_5$, $C_6$, $S_5\times C_2$, $S_5 \times C_3$ 30T180, 36T1243 x 2
36T1243 $C_6\times S_5$ $720$ $1$ $C_2$, $C_3$, $C_6$, $\PGL(2,5)$, $C_2\times S_5$, $C_3\times S_5$ 30T180 x 2, 36T1243
  displayed columns for results

Results are complete for degrees $\leq 23$.