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Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
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Results (9 matches)

  displayed columns for results
Label Name Order Parity Solvable Subfields Low Degree Siblings
16T1314 $C_4^2:\GL(2,\mathbb{Z}/4)$ $1536$ $1$ ✓ $S_4$ 16T1314, 24T4479 x 2, 24T4485 x 2, 24T4536 x 2, 24T4538 x 2, 24T4558 x 2, 24T4562 x 2, 24T4742 x 2, 24T4747 x 2, 32T96796, 32T96837 x 2, 32T96838 x 2, 32T96839 x 2
24T4479 $C_4^2:\GL(2,\mathbb{Z}/4)$ $1536$ $1$ ✓ $S_3$, $S_4$, $S_4$, $S_4$ 16T1314 x 2, 24T4479, 24T4485 x 2, 24T4536 x 2, 24T4538 x 2, 24T4558 x 2, 24T4562 x 2, 24T4742 x 2, 24T4747 x 2, 32T96796, 32T96837 x 2, 32T96838 x 2, 32T96839 x 2
24T4485 $C_4^2:\GL(2,\mathbb{Z}/4)$ $1536$ $1$ ✓ $S_3$, $S_4$, $S_4$, $S_4$ 16T1314 x 2, 24T4479 x 2, 24T4485, 24T4536 x 2, 24T4538 x 2, 24T4558 x 2, 24T4562 x 2, 24T4742 x 2, 24T4747 x 2, 32T96796, 32T96837 x 2, 32T96838 x 2, 32T96839 x 2
24T4536 $C_4^2:\GL(2,\mathbb{Z}/4)$ $1536$ $1$ ✓ $S_3$, $S_4\times C_2$, $\GL(2,\mathbb{Z}/4)$ 16T1314 x 2, 24T4479 x 2, 24T4485 x 2, 24T4536, 24T4538 x 2, 24T4558 x 2, 24T4562 x 2, 24T4742 x 2, 24T4747 x 2, 32T96796, 32T96837 x 2, 32T96838 x 2, 32T96839 x 2
24T4538 $C_4^2:\GL(2,\mathbb{Z}/4)$ $1536$ $1$ ✓ $S_3$, $S_4\times C_2$, $\GL(2,\mathbb{Z}/4)$ 16T1314 x 2, 24T4479 x 2, 24T4485 x 2, 24T4536 x 2, 24T4538, 24T4558 x 2, 24T4562 x 2, 24T4742 x 2, 24T4747 x 2, 32T96796, 32T96837 x 2, 32T96838 x 2, 32T96839 x 2
24T4558 $C_4^2:\GL(2,\mathbb{Z}/4)$ $1536$ $-1$ ✓ $S_3$, $S_4$, $S_4\times C_2$ x 2, $C_2^3:S_4$ 16T1314 x 2, 24T4479 x 2, 24T4485 x 2, 24T4536 x 2, 24T4538 x 2, 24T4558, 24T4562 x 2, 24T4742 x 2, 24T4747 x 2, 32T96796, 32T96837 x 2, 32T96838 x 2, 32T96839 x 2
24T4562 $C_4^2:\GL(2,\mathbb{Z}/4)$ $1536$ $-1$ ✓ $S_3$, $S_4$, $S_4\times C_2$ x 2, $C_2^3:S_4$ 16T1314 x 2, 24T4479 x 2, 24T4485 x 2, 24T4536 x 2, 24T4538 x 2, 24T4558 x 2, 24T4562, 24T4742 x 2, 24T4747 x 2, 32T96796, 32T96837 x 2, 32T96838 x 2, 32T96839 x 2
24T4742 $C_4^2:\GL(2,\mathbb{Z}/4)$ $1536$ $1$ ✓ $S_3$, $S_4\times C_2$, $C_2\wr S_3$ 16T1314 x 2, 24T4479 x 2, 24T4485 x 2, 24T4536 x 2, 24T4538 x 2, 24T4558 x 2, 24T4562 x 2, 24T4742, 24T4747 x 2, 32T96796, 32T96837 x 2, 32T96838 x 2, 32T96839 x 2
24T4747 $C_4^2:\GL(2,\mathbb{Z}/4)$ $1536$ $1$ ✓ $S_3$, $S_4\times C_2$, $C_2\wr S_3$ 16T1314 x 2, 24T4479 x 2, 24T4485 x 2, 24T4536 x 2, 24T4538 x 2, 24T4558 x 2, 24T4562 x 2, 24T4742 x 2, 24T4747, 32T96796, 32T96837 x 2, 32T96838 x 2, 32T96839 x 2
  displayed columns for results

Results are complete for degrees $\leq 23$.