↑

Learn more

Refine search

Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
Sort order Select

Results (9 matches)

  displayed columns for results
Label Name Order Parity Solvable Subfields Low Degree Siblings
16T1300 $C_2^6:(C_4\times S_3)$ $1536$ $1$ ✓ $C_2$, $C_4$ 16T1300, 24T3348 x 2, 24T3353 x 2, 24T4486 x 2, 24T4491 x 2, 24T4584 x 2, 24T4587 x 2, 24T4767 x 2, 24T4768 x 2, 32T96743, 32T96757, 32T96808, 32T96822 x 2
24T3348 $C_2^6:(C_4\times S_3)$ $1536$ $-1$ ✓ $C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$, $C_2 \times S_4$ 16T1300 x 2, 24T3348, 24T3353 x 2, 24T4486 x 2, 24T4491 x 2, 24T4584 x 2, 24T4587 x 2, 24T4767 x 2, 24T4768 x 2, 32T96743, 32T96757, 32T96808, 32T96822 x 2
24T3353 $C_2^6:(C_4\times S_3)$ $1536$ $-1$ ✓ $C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$, $C_2 \times S_4$ 16T1300 x 2, 24T3348 x 2, 24T3353, 24T4486 x 2, 24T4491 x 2, 24T4584 x 2, 24T4587 x 2, 24T4767 x 2, 24T4768 x 2, 32T96743, 32T96757, 32T96808, 32T96822 x 2
24T4486 $C_2^6:(C_4\times S_3)$ $1536$ $1$ ✓ $C_2$, $S_3$, $C_4$, $D_{6}$, $S_3 \times C_4$ 16T1300 x 2, 24T3348 x 2, 24T3353 x 2, 24T4486, 24T4491 x 2, 24T4584 x 2, 24T4587 x 2, 24T4767 x 2, 24T4768 x 2, 32T96743, 32T96757, 32T96808, 32T96822 x 2
24T4491 $C_2^6:(C_4\times S_3)$ $1536$ $1$ ✓ $C_2$, $S_3$, $C_4$, $D_{6}$, $S_3 \times C_4$ 16T1300 x 2, 24T3348 x 2, 24T3353 x 2, 24T4486 x 2, 24T4491, 24T4584 x 2, 24T4587 x 2, 24T4767 x 2, 24T4768 x 2, 32T96743, 32T96757, 32T96808, 32T96822 x 2
24T4584 $C_2^6:(C_4\times S_3)$ $1536$ $1$ ✓ $S_3$, $S_4$, $C_2^3:S_4$ 16T1300 x 2, 24T3348 x 2, 24T3353 x 2, 24T4486 x 2, 24T4491 x 2, 24T4584, 24T4587 x 2, 24T4767 x 2, 24T4768 x 2, 32T96743, 32T96757, 32T96808, 32T96822 x 2
24T4587 $C_2^6:(C_4\times S_3)$ $1536$ $1$ ✓ $S_3$, $S_4$, $C_2^3:S_4$ 16T1300 x 2, 24T3348 x 2, 24T3353 x 2, 24T4486 x 2, 24T4491 x 2, 24T4584 x 2, 24T4587, 24T4767 x 2, 24T4768 x 2, 32T96743, 32T96757, 32T96808, 32T96822 x 2
24T4767 $C_2^6:(C_4\times S_3)$ $1536$ $1$ ✓ $S_3$, $S_4\times C_2$, $C_2^5.D_6$ 16T1300 x 2, 24T3348 x 2, 24T3353 x 2, 24T4486 x 2, 24T4491 x 2, 24T4584 x 2, 24T4587 x 2, 24T4767, 24T4768 x 2, 32T96743, 32T96757, 32T96808, 32T96822 x 2
24T4768 $C_2^6:(C_4\times S_3)$ $1536$ $1$ ✓ $S_3$, $S_4\times C_2$, $C_2^5.D_6$ 16T1300 x 2, 24T3348 x 2, 24T3353 x 2, 24T4486 x 2, 24T4491 x 2, 24T4584 x 2, 24T4587 x 2, 24T4767 x 2, 24T4768, 32T96743, 32T96757, 32T96808, 32T96822 x 2
  displayed columns for results

Results are complete for degrees $\leq 23$.