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Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
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Results (5 matches)

  displayed columns for results
Label Name Order Parity Solvable Subfields Low Degree Siblings
16T256 $D_{16}:C_4$ $128$ $-1$ ✓ $C_2$, $D_{4}$, $Z_8 : Z_8^\times$ 16T256, 32T588, 32T589, 32T590, 32T2022
32T588 $D_{16}:C_4$ $128$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Z_8 : Z_8^\times$ x 2, $D_8:C_2$, $D_{16}:C_4$ x 2 16T256 x 2, 32T589, 32T590, 32T2022
32T589 $D_{16}:C_4$ $128$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Z_8 : Z_8^\times$ x 2, $D_8:C_2$, $D_{16}:C_4$ x 2 16T256 x 2, 32T588, 32T590, 32T2022
32T590 $D_{16}:C_4$ $128$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $Z_8 : Z_8^\times$ x 2, $D_8:C_2$, $D_{16}:C_4$ x 2 16T256 x 2, 32T588, 32T589, 32T2022
32T2022 $D_{16}:C_4$ $128$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Z_8 : Z_8^\times$ x 2, $D_8:C_2$ 16T256 x 2, 32T588, 32T589, 32T590
  displayed columns for results

Results are complete for degrees $\leq 23$.