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Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
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Results (14 matches)

  displayed columns for results
Label Name Order Parity Solvable Subfields Low Degree Siblings
16T529 $D_4^2:C_2^2$ $256$ $1$ ✓ $C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$ 16T529 x 3, 16T653 x 8, 32T2627 x 2, 32T2628 x 8, 32T2629 x 4, 32T2630 x 2, 32T2631 x 2, 32T3191 x 4, 32T3192 x 4, 32T3193 x 4, 32T3194 x 4, 32T3195 x 4, 32T3196 x 4, 32T4770 x 8
16T653 $D_4^2:C_2^2$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$ 16T529 x 4, 16T653 x 7, 32T2627 x 2, 32T2628 x 8, 32T2629 x 4, 32T2630 x 2, 32T2631 x 2, 32T3191 x 4, 32T3192 x 4, 32T3193 x 4, 32T3194 x 4, 32T3195 x 4, 32T3196 x 4, 32T4770 x 8
32T2627 $D_4^2:C_2^2$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$, $D_4^2:C_2^2$ x 2 16T529 x 4, 16T653 x 8, 32T2627, 32T2628 x 8, 32T2629 x 4, 32T2630 x 2, 32T2631 x 2, 32T3191 x 4, 32T3192 x 4, 32T3193 x 4, 32T3194 x 4, 32T3195 x 4, 32T3196 x 4, 32T4770 x 8
32T2628 $D_4^2:C_2^2$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4\times C_2$ x 3, $C_2^2 \wr C_2$ x 4, $C_2^3:D_4$, $D_4^2:C_2^2$, $D_4^2:C_2^2$ 16T529 x 4, 16T653 x 8, 32T2627 x 2, 32T2628 x 7, 32T2629 x 4, 32T2630 x 2, 32T2631 x 2, 32T3191 x 4, 32T3192 x 4, 32T3193 x 4, 32T3194 x 4, 32T3195 x 4, 32T3196 x 4, 32T4770 x 8
32T2629 $D_4^2:C_2^2$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$, $D_4^2:C_2^2$ x 2 16T529 x 4, 16T653 x 8, 32T2627 x 2, 32T2628 x 8, 32T2629 x 3, 32T2630 x 2, 32T2631 x 2, 32T3191 x 4, 32T3192 x 4, 32T3193 x 4, 32T3194 x 4, 32T3195 x 4, 32T3196 x 4, 32T4770 x 8
32T2630 $D_4^2:C_2^2$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4\times C_2$ x 3, $C_2^2 \wr C_2$ x 4, $C_2^3:D_4$, $D_4^2:C_2^2$ x 2 16T529 x 4, 16T653 x 8, 32T2627 x 2, 32T2628 x 8, 32T2629 x 4, 32T2630, 32T2631 x 2, 32T3191 x 4, 32T3192 x 4, 32T3193 x 4, 32T3194 x 4, 32T3195 x 4, 32T3196 x 4, 32T4770 x 8
32T2631 $D_4^2:C_2^2$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4\times C_2$ x 3, $C_2^2 \wr C_2$ x 4, $C_2^3:D_4$, $D_4^2:C_2^2$ x 2 16T529 x 4, 16T653 x 8, 32T2627 x 2, 32T2628 x 8, 32T2629 x 4, 32T2630 x 2, 32T2631, 32T3191 x 4, 32T3192 x 4, 32T3193 x 4, 32T3194 x 4, 32T3195 x 4, 32T3196 x 4, 32T4770 x 8
32T3191 $D_4^2:C_2^2$ $256$ $1$ ✓ $C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4$ x 2, $D_4\times C_2$ x 4, $D_4\times C_2$, $D_4^2:C_2^2$ x 2 16T529 x 4, 16T653 x 8, 32T2627 x 2, 32T2628 x 8, 32T2629 x 4, 32T2630 x 2, 32T2631 x 2, 32T3191 x 3, 32T3192 x 4, 32T3193 x 4, 32T3194 x 4, 32T3195 x 4, 32T3196 x 4, 32T4770 x 8
32T3192 $D_4^2:C_2^2$ $256$ $1$ ✓ $C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4\times C_2$ x 6, $C_2^2 \times D_4$, $D_4^2:C_2^2$ x 2 16T529 x 4, 16T653 x 8, 32T2627 x 2, 32T2628 x 8, 32T2629 x 4, 32T2630 x 2, 32T2631 x 2, 32T3191 x 4, 32T3192 x 3, 32T3193 x 4, 32T3194 x 4, 32T3195 x 4, 32T3196 x 4, 32T4770 x 8
32T3193 $D_4^2:C_2^2$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4\times C_2$ x 3, $C_2^2 \wr C_2$ x 4, $C_2^3:D_4$, $D_4^2:C_2^2$ x 2 16T529 x 4, 16T653 x 8, 32T2627 x 2, 32T2628 x 8, 32T2629 x 4, 32T2630 x 2, 32T2631 x 2, 32T3191 x 4, 32T3192 x 4, 32T3193 x 3, 32T3194 x 4, 32T3195 x 4, 32T3196 x 4, 32T4770 x 8
32T3194 $D_4^2:C_2^2$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4\times C_2$ x 3, $C_2^2 \wr C_2$ x 4, $C_2^3:D_4$, $D_4^2:C_2^2$ x 2 16T529 x 4, 16T653 x 8, 32T2627 x 2, 32T2628 x 8, 32T2629 x 4, 32T2630 x 2, 32T2631 x 2, 32T3191 x 4, 32T3192 x 4, 32T3193 x 4, 32T3194 x 3, 32T3195 x 4, 32T3196 x 4, 32T4770 x 8
32T3195 $D_4^2:C_2^2$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4\times C_2$ x 3, $C_2^2 \wr C_2$ x 4, $C_2^3:D_4$, $D_4^2:C_2^2$ x 2 16T529 x 4, 16T653 x 8, 32T2627 x 2, 32T2628 x 8, 32T2629 x 4, 32T2630 x 2, 32T2631 x 2, 32T3191 x 4, 32T3192 x 4, 32T3193 x 4, 32T3194 x 4, 32T3195 x 3, 32T3196 x 4, 32T4770 x 8
32T3196 $D_4^2:C_2^2$ $256$ $1$ ✓ $C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4\times C_2$ x 6, $C_2^2 \times D_4$, $D_4^2:C_2^2$ x 2 16T529 x 4, 16T653 x 8, 32T2627 x 2, 32T2628 x 8, 32T2629 x 4, 32T2630 x 2, 32T2631 x 2, 32T3191 x 4, 32T3192 x 4, 32T3193 x 4, 32T3194 x 4, 32T3195 x 4, 32T3196 x 3, 32T4770 x 8
32T4770 $D_4^2:C_2^2$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2^4:D_4$ 16T529 x 4, 16T653 x 8, 32T2627 x 2, 32T2628 x 8, 32T2629 x 4, 32T2630 x 2, 32T2631 x 2, 32T3191 x 4, 32T3192 x 4, 32T3193 x 4, 32T3194 x 4, 32T3195 x 4, 32T3196 x 4, 32T4770 x 7
  displayed columns for results

Results are complete for degrees $\leq 23$.