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Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
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Results (1-50 of 393 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
37T1 $C_{37}$ $37$ $1$ ✓
37T2 $D_{37}$ $74$ $1$ ✓
37T3 $C_{37}:C_{3}$ $111$ $1$ ✓
37T4 $C_{37}:C_{4}$ $148$ $-1$ ✓
37T5 $C_{37}:C_{6}$ $222$ $1$ ✓
37T6 $C_{37}:C_{9}$ $333$ $1$ ✓
37T7 $C_{37}:C_{12}$ $444$ $-1$ ✓
37T8 $C_{37}:C_{18}$ $666$ $1$ ✓
37T9 $F_{37}$ $1332$ $-1$ ✓
37T10 $A_{37}$ $6881876545613172523157989790790451200000000$ $1$
37T11 $S_{37}$ $13763753091226345046315979581580902400000000$ $-1$
38T1 $C_{38}$ $38$ $-1$ ✓ $C_2$, $C_{19}$
38T2 $D_{19}$ $38$ $-1$ ✓ $C_2$, $D_{19}$ 19T2
38T3 $D_{38}$ $76$ $-1$ ✓ $C_2$, $D_{19}$ 38T3
38T4 $C_{19}:C_6$ $114$ $-1$ ✓ $C_2$, $C_{19}:C_{3}$
38T5 $C_{19}:C_6$ $114$ $-1$ ✓ $C_2$, $C_{19}:C_{6}$ 19T4
38T6 $C_{38}:C_6$ $228$ $-1$ ✓ $C_2$, $C_{19}:C_{6}$ 38T6
38T7 $C_{19}:C_{18}$ $342$ $-1$ ✓ $C_2$, $C_{19}:C_{9}$
38T8 $F_{19}$ $342$ $-1$ ✓ $C_2$, $F_{19}$ 19T6
38T9 $C_2\times F_{19}$ $684$ $-1$ ✓ $C_2$, $F_{19}$ 38T9
38T10 $C_{19}\times D_{19}$ $722$ $-1$ ✓ $C_2$ 38T10 x 8
38T11 $D_{19}^2$ $1444$ $-1$ ✓ $C_2$ 38T11 x 8
38T12 $C_{19}^2:C_4$ $1444$ $1$ ✓ $C_2$ 38T12 x 9
38T13 t38n13 $2166$ $-1$ ✓ $C_2$
38T14 t38n14 $2166$ $-1$ ✓ $C_2$ 38T14 x 8
38T15 $D_{19}\wr C_2$ $2888$ $-1$ ✓ $C_2$ 38T15
38T16 $C_{19}^2:D_6$ $4332$ $-1$ ✓ $C_2$
38T17 $C_{19}^2:C_3:C_4$ $4332$ $1$ ✓ $C_2$
38T18 $C_{19}^2:C_{12}$ $4332$ $1$ ✓ $C_2$ 38T18 x 9
38T19 $D_{19}^2:C_3$ $4332$ $-1$ ✓ $C_2$ 38T19 x 8
38T20 $C_{19}^2:D_9$ $6498$ $-1$ ✓ $C_2$
38T21 $C_{19}^2:(C_3\times S_3)$ $6498$ $-1$ ✓ $C_2$
38T22 $C_{19}:F_{19}$ $6498$ $-1$ ✓ $C_2$ 38T22 x 8
38T23 $D_{19}^2:S_3$ $8664$ $-1$ ✓ $C_2$
38T24 $D_{19}^2:C_6$ $8664$ $-1$ ✓ $C_2$ 38T24
38T25 $C_{19}^2:D_{18}$ $12996$ $-1$ ✓ $C_2$
38T26 $C_{19}^2:C_9:C_4$ $12996$ $1$ ✓ $C_2$
38T27 $C_{19}^2:C_3:C_{12}$ $12996$ $1$ ✓ $C_2$
38T28 $C_{19}^2:(C_6\times S_3)$ $12996$ $-1$ ✓ $C_2$
38T29 $C_{19}^2:C_{36}$ $12996$ $1$ ✓ $C_2$ 38T29 x 9
38T30 $D_{19}:F_{19}$ $12996$ $-1$ ✓ $C_2$ 38T30 x 8
38T31 $C_{19}^2:(C_3\times D_9)$ $19494$ $-1$ ✓ $C_2$
38T32 $C_{19}^2:(S_3\times C_9)$ $19494$ $-1$ ✓ $C_2$
38T33 $\PSL(2,37)$ $25308$ $1$
38T34 $D_{19}^2:D_9$ $25992$ $-1$ ✓ $C_2$
38T35 $D_{19}^2:(C_3\times S_3)$ $25992$ $-1$ ✓ $C_2$
38T36 $D_{19}^2:C_{18}$ $25992$ $-1$ ✓ $C_2$ 38T36
38T37 $C_{19}^2:(C_3\times D_{18})$ $38988$ $-1$ ✓ $C_2$
38T38 $C_{19}^2:C_9:C_{12}$ $38988$ $1$ ✓ $C_2$
38T39 $C_{19}^2:C_3:C_{36}$ $38988$ $1$ ✓ $C_2$
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Results are complete for degrees $\leq 23$.