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Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
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Results (24 matches)

  displayed columns for results
Label Name Order Parity Solvable Subfields Low Degree Siblings
27T963 $C_3^5.C_3\wr C_3$ $19683$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T963 x 8
27T964 $C_3^6.C_9:C_3$ $19683$ $1$ ✓ $C_3$, $C_9:C_3$ 27T964 x 26
27T968 $C_3^6.C_9:C_3$ $19683$ $1$ ✓ $C_3$, $C_9:C_3$ 27T968 x 26
27T971 $C_3^7.C_9$ $19683$ $1$ ✓ $C_3$, $C_9$ 27T971 x 80
27T973 $C_3^7.C_9$ $19683$ $1$ ✓ $C_3$, $C_9$ 27T973 x 80
27T977 $C_3^5.C_3\wr C_3$ $19683$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T977 x 8
27T978 $C_3^5.C_3\wr C_3$ $19683$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T978 x 8
27T979 $C_3^5.C_3\wr C_3$ $19683$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T979 x 8
27T984 $C_3^5.C_3\wr C_3$ $19683$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T984 x 8
27T985 $C_3^5.C_3\wr C_3$ $19683$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T985 x 8
27T1205 $C_3^6.C_9:C_3^2$ $59049$ $1$ ✓ $C_3$, $C_9:C_3$ 27T1205 x 26
27T1208 $C_3^7.\He_3$ $59049$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T1208 x 26
27T1212 $C_3^6.C_3\wr C_3$ $59049$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T1212 x 26
27T1215 $C_3^7.\He_3$ $59049$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T1215 x 26
27T1217 $C_3^7.C_9:C_3$ $59049$ $1$ ✓ $C_3$, $C_9:C_3$ 27T1217 x 26
27T1218 $C_3^6.C_3\wr C_3$ $59049$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T1218 x 26
27T1219 $C_3^7.\He_3$ $59049$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T1219 x 26
27T1220 $C_3^6.C_3\wr C_3$ $59049$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T1220 x 26
27T1221 $C_3^6.C_3\wr C_3$ $59049$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T1221 x 26
27T1457 $C_3^6.C_3^4:C_3$ $177147$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T1457 x 26
27T1458 $C_3^6.C_3^3:C_3^2$ $177147$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T1458 x 26
27T1464 $C_3^6.C_3^4:C_3$ $177147$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T1464 x 26
27T1467 $C_3^7.C_3\wr C_3$ $177147$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T1467 x 26
27T1658 $C_3^6.C_3^5:C_3$ $531441$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T1658 x 80
  displayed columns for results

Results are complete for degrees $\leq 23$.