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Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
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Results (11 matches)

  displayed columns for results
Label Name Order Parity Solvable Subfields Low Degree Siblings
32T4050 $C_2^5.D_4$ $256$ $1$ ✓ $C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$, $C_2^3 : C_4 $ x 2, $C_4^2:C_4$, $C_2^4.D_4$, $C_2^4.D_4$ 32T4050 x 7, 32T4105 x 4, 32T4110 x 4, 32T4370 x 2, 32T4371 x 2, 32T4376 x 4, 32T5322 x 2, 32T5325 x 2, 32T5332 x 4, 32T5342 x 4, 32T5344 x 4
32T4105 $C_2^5.D_4$ $256$ $1$ ✓ $C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $C_2^3: C_4$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2^3:C_4$, $C_2^4.D_4$, $C_2^4.D_4$ 32T4050 x 8, 32T4105 x 3, 32T4110 x 4, 32T4370 x 2, 32T4371 x 2, 32T4376 x 4, 32T5322 x 2, 32T5325 x 2, 32T5332 x 4, 32T5342 x 4, 32T5344 x 4
32T4110 $C_2^5.D_4$ $256$ $1$ ✓ $C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $C_2^3: C_4$ x 2, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2^4:C_4$, $C_2^4.D_4$, $C_2^4.D_4$ 32T4050 x 8, 32T4105 x 4, 32T4110 x 3, 32T4370 x 2, 32T4371 x 2, 32T4376 x 4, 32T5322 x 2, 32T5325 x 2, 32T5332 x 4, 32T5342 x 4, 32T5344 x 4
32T4370 $C_2^5.D_4$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2$ x 2, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2^2.D_4$, $C_2^4.D_4$, $C_2^4.D_4$ 32T4050 x 8, 32T4105 x 4, 32T4110 x 4, 32T4370, 32T4371 x 2, 32T4376 x 4, 32T5322 x 2, 32T5325 x 2, 32T5332 x 4, 32T5342 x 4, 32T5344 x 4
32T4371 $C_2^5.D_4$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4\times C_2$ x 3, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2^2\wr C_2$, $C_2^4.D_4$, $C_2^4.D_4$ 32T4050 x 8, 32T4105 x 4, 32T4110 x 4, 32T4370 x 2, 32T4371, 32T4376 x 4, 32T5322 x 2, 32T5325 x 2, 32T5332 x 4, 32T5342 x 4, 32T5344 x 4
32T4376 $C_2^5.D_4$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 4, $D_4\times C_2$ x 2, $Q_8:C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_4:D_4$, $C_2^4.D_4$, $C_2^4.D_4$ 32T4050 x 8, 32T4105 x 4, 32T4110 x 4, 32T4370 x 2, 32T4371 x 2, 32T4376 x 3, 32T5322 x 2, 32T5325 x 2, 32T5332 x 4, 32T5342 x 4, 32T5344 x 4
32T5322 $C_2^5.D_4$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $Q_8:C_2$ x 2, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2^2.D_4$, $C_4^2:C_4$, $C_2^4.D_4$ 32T4050 x 8, 32T4105 x 4, 32T4110 x 4, 32T4370 x 2, 32T4371 x 2, 32T4376 x 4, 32T5322, 32T5325 x 2, 32T5332 x 4, 32T5342 x 4, 32T5344 x 4
32T5325 $C_2^5.D_4$ $256$ $1$ ✓ $C_2$ 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, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2^2\wr C_2$, $C_4^2:C_4$, $C_2^4.D_4$ 32T4050 x 8, 32T4105 x 4, 32T4110 x 4, 32T4370 x 2, 32T4371 x 2, 32T4376 x 4, 32T5322 x 2, 32T5325, 32T5332 x 4, 32T5342 x 4, 32T5344 x 4
32T5332 $C_2^5.D_4$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 4, $D_4$, $D_4\times C_2$, $Q_8:C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_4:D_4$, $C_4^2:C_4$, $C_2^4.D_4$ 32T4050 x 8, 32T4105 x 4, 32T4110 x 4, 32T4370 x 2, 32T4371 x 2, 32T4376 x 4, 32T5322 x 2, 32T5325 x 2, 32T5332 x 3, 32T5342 x 4, 32T5344 x 4
32T5342 $C_2^5.D_4$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $C_2^3: C_4$ x 2, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2^4:C_4$, $C_4^2:C_4$, $C_2^4.D_4$ 32T4050 x 8, 32T4105 x 4, 32T4110 x 4, 32T4370 x 2, 32T4371 x 2, 32T4376 x 4, 32T5322 x 2, 32T5325 x 2, 32T5332 x 4, 32T5342 x 3, 32T5344 x 4
32T5344 $C_2^5.D_4$ $256$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $C_2^3 : C_4 $, $C_2^3: C_4$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2^3:C_4$, $C_4^2:C_4$, $C_2^4.D_4$ 32T4050 x 8, 32T4105 x 4, 32T4110 x 4, 32T4370 x 2, 32T4371 x 2, 32T4376 x 4, 32T5322 x 2, 32T5325 x 2, 32T5332 x 4, 32T5342 x 4, 32T5344 x 3
  displayed columns for results

Results are complete for degrees $\leq 23$.