↑

Learn more

Refine search

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

Results (1-50 of 54 matches)

Next   displayed columns for results
Label Name Order Parity Solvable Subfields Low Degree Siblings
25T75 $C_5^4.C_5$ $3125$ $1$ ✓ $C_5$ 25T75 x 24
25T76 $C_5^4:C_5$ $3125$ $1$ ✓ $C_5$ 25T76 x 24
27T90 $C_3^2.\He_3$ $243$ $1$ ✓ $C_3$, $C_3^2:C_3$
27T91 $C_3^2.\He_3$ $243$ $1$ ✓ $C_3$, $C_3^2:C_3$
27T94 $C_3^2.\He_3$ $243$ $1$ ✓ $C_3$, $C_3^2:C_3$
27T104 $C_9^2:C_3$ $243$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T104 x 2
27T108 $C_9^2:C_3$ $243$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T108 x 2
27T112 $C_9^2.C_3$ $243$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T112 x 2
27T221 $C_9^2:C_3^2$ $729$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T221 x 2
27T224 $C_9^2.C_3^2$ $729$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T224 x 8
27T225 $C_3^4.C_3^2$ $729$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T225 x 8, 27T246 x 3
27T226 $C_3^4.C_3^2$ $729$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T226 x 17, 27T252 x 3
27T229 $C_9^2.C_3^2$ $729$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T229 x 2
27T232 $C_3^3.\He_3$ $729$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T232 x 2
27T234 $C_3^4.C_3^2$ $729$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T234 x 2
27T235 $C_3^4.C_3^2$ $729$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T235 x 2
27T236 $(C_3\times C_9).\He_3$ $729$ $1$ ✓ $C_3$, $C_9:C_3$ 27T236 x 2
27T239 $C_9^2.C_9$ $729$ $1$ ✓ $C_3$, $C_9:C_3$ 27T239 x 8
27T240 $C_3^4:C_9$ $729$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T240 x 2, 27T249 x 9
27T242 $C_3^4.C_3^2$ $729$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T242 x 2
27T245 $C_3^4.C_3^2$ $729$ $1$ ✓ $C_3$, $C_9:C_3$ 27T245 x 8, 27T253 x 3
27T246 $C_3^4.C_3^2$ $729$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T225 x 9, 27T246 x 2
27T247 $C_3^4.C_3^2$ $729$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T247 x 2
27T249 $C_3^4:C_9$ $729$ $1$ ✓ $C_3$, $C_9$ 27T240 x 3, 27T249 x 8
27T251 $C_3^4.C_9$ $729$ $1$ ✓ $C_3$, $C_9$ 27T251 x 2
27T252 $C_3^4.C_3^2$ $729$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T226 x 18, 27T252 x 2
27T253 $C_3^4.C_3^2$ $729$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T245 x 9, 27T253 x 2
27T254 $C_3^4.C_3^2$ $729$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T254 x 2
27T427 $(C_3\times C_9^2).C_3^2$ $2187$ $1$ ✓ $C_3$, $C_9:C_3$ 27T427 x 8
27T430 $C_3^4.C_3^3$ $2187$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T430 x 8
27T432 $C_3^4.C_3^3$ $2187$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T432 x 8
27T439 $C_3^4.C_3^3$ $2187$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T439 x 8, 27T445 x 27
27T441 $C_3^4.C_3^3$ $2187$ $1$ ✓ $C_3$, $C_9:C_3$ 27T441 x 26, 27T459 x 9
27T445 $C_3^4.C_3^3$ $2187$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T439 x 9, 27T445 x 26
27T446 $C_3^4.C_3^3$ $2187$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T446 x 8
27T448 $C_9^2.C_3^3$ $2187$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T448 x 8
27T451 $C_3^4.C_3^3$ $2187$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T451 x 8
27T453 $C_3^4.C_3^3$ $2187$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T453 x 8
27T457 $C_3^4.C_3^3$ $2187$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T457 x 8
27T459 $C_3^4.C_3^3$ $2187$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T441 x 27, 27T459 x 8
27T461 $C_3^4.C_3^3$ $2187$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T461 x 8
27T691 $C_3^6:C_3^2$ $6561$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T691 x 26, 27T695 x 81
27T695 $C_3^6:C_3^2$ $6561$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T691 x 27, 27T695 x 80
27T698 $C_3^6:C_3^2$ $6561$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T698 x 26
27T700 $C_3^4.C_3^4$ $6561$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T700 x 26
27T703 $C_3^5.\He_3$ $6561$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T703 x 8
27T706 $C_3^5.C_3^3$ $6561$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T706 x 26
27T707 $C_3^5.C_3^3$ $6561$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T707 x 26
27T713 $C_3^5:\He_3$ $6561$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T713 x 35
27T716 $C_3^4.C_3^4$ $6561$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T716 x 26
Next   displayed columns for results

Results are complete for degrees $\leq 23$.