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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 185 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
41T8 $F_{41}$ $1640$ $-1$ ✓
42T176 $\PSL(2,13)$ $1092$ $1$ $\PSL(2,13)$ 14T30, 28T120
42T177 $C_{14}^2:C_6$ $1176$ $-1$ ✓ $C_3$, $A_4\times C_2$, $C_7^2:C_3$ 42T177 x 5
42T178 $C_{14}^2:C_6$ $1176$ $-1$ ✓ $C_3$, $A_4\times C_2$, $C_7:C_{21}$ 42T178 x 5
42T179 $C_{14}^2:C_6$ $1176$ $1$ ✓ $C_3$, $A_4$, $C_7:F_7$ 42T179 x 5, 42T180 x 6
42T180 $C_{14}^2:C_6$ $1176$ $-1$ ✓ $C_3$, $A_4\times C_2$, $C_7:F_7$ 42T179 x 6, 42T180 x 5
42T181 $C_7^2:S_4$ $1176$ $1$ ✓ $S_3$, $S_4$, $C_7^2:S_3$ 42T182, 42T183, 42T184
42T182 $C_7^2:S_4$ $1176$ $-1$ ✓ $S_3$, $S_4$, $C_7^2:S_3$ 42T181, 42T183, 42T184
42T183 $C_7^2:S_4$ $1176$ $1$ ✓ $S_3$, $S_4$, $C_7^2:S_3$ 42T181, 42T182, 42T184
42T184 $C_7^2:S_4$ $1176$ $-1$ ✓ $S_3$, $S_4$, $C_7^2:S_3$ 42T181, 42T182, 42T183
42T185 $C_{14}^2:C_6$ $1176$ $1$ ✓ $C_3$, $A_4$, $C_7:F_7$ 42T185 x 5, 42T186 x 6
42T186 $C_{14}^2:C_6$ $1176$ $-1$ ✓ $C_3$, $A_4\times C_2$, $C_7:F_7$ 42T185 x 6, 42T186 x 5
42T187 $C_2\times C_7^2:D_6$ $1176$ $-1$ ✓ $C_2$, $S_3$, $D_{6}$, $C_7^2:D_6$ 28T132 x 2, 42T187 x 7
42T188 $C_7^2:C_4\times S_3$ $1176$ $1$ ✓ $C_2$, $S_3$, $D_{6}$, $C_7^2:C_4$ 42T188 x 3
42T189 $S_3\times D_7^2$ $1176$ $-1$ ✓ $C_2$, $S_3$, $D_{6}$, $D_7^2$ 42T189 x 2
42T190 $D_7^2:S_3$ $1176$ $-1$ ✓ $C_2$, $S_3$, $S_3$, $D_7 \wr C_2$ 42T192
42T191 $D_7^2:C_6$ $1176$ $-1$ ✓ $C_2$, $C_3$, $C_6$, $D_7 \wr C_2$ 42T191
42T192 $D_7^2:S_3$ $1176$ $-1$ ✓ $C_2$, $S_3$, $D_{6}$, $D_7 \wr C_2$ 42T190
42T193 $C_7^2:D_{12}$ $1176$ $-1$ ✓ $C_2$, $S_3$, $D_{6}$, $D_7 \wr C_2$ 42T193
42T194 $D_7^2:S_3$ $1176$ $-1$ ✓ $C_2$, $S_3$, $S_3$, $D_7^2:S_3$ 14T31, 28T133, 28T134, 28T135, 42T196
42T195 $D_7^2:C_6$ $1176$ $-1$ ✓ $C_2$, $C_3$, $C_6$, $D_7^2:C_6$ 14T32 x 2, 28T136 x 2, 28T137 x 2, 28T138 x 2, 28T143, 42T195
42T196 $D_7^2:S_3$ $1176$ $-1$ ✓ $C_2$, $S_3$, $D_{6}$ 14T31, 28T133, 28T134, 28T135, 42T194
42T197 $C_7:\GL(2,4)$ $1260$ $1$ $\PSL(2,5)$, $C_7:C_3$ 35T22
42T198 $C_2^5:C_{42}$ $1344$ $-1$ ✓ $C_3$, $C_7$, $C_{21}$
42T199 $C_2^6:C_{21}$ $1344$ $1$ ✓ $C_3$, $C_7$, $C_2^3:F_8$, $C_{21}$ 42T199 x 6
42T200 $C_2^6:C_{21}$ $1344$ $1$ ✓ $C_3$, $C_7$, $C_{21}$ 24T2950 x 3, 28T160 x 3, 42T200 x 2
42T201 $C_2^3:F_8:C_3$ $1344$ $1$ ✓ $C_3$, $C_7:C_3$, $C_7:C_3$ 24T2951 x 2, 28T151, 28T156 x 2, 42T201
42T202 $C_2^3:F_8:C_3$ $1344$ $1$ ✓ $C_3$, $C_7:C_3$, $C_7:C_3$ 14T35, 28T154, 28T155 x 2, 28T157, 42T204, 42T205
42T203 $C_2\times F_8:A_4$ $1344$ $-1$ ✓ $C_3$, $C_7:C_3$, $C_7:C_3$
42T204 $C_2^3:F_8:C_3$ $1344$ $1$ ✓ $C_3$, $C_7:C_3$, $C_7:C_3$ 14T35, 28T154, 28T155 x 2, 28T157, 42T202, 42T205
42T205 $C_2^3:F_8:C_3$ $1344$ $1$ ✓ $C_3$, $C_7:C_3$, $C_2^3:F_8:C_3$, $C_7:C_3$ 14T35, 28T154, 28T155 x 2, 28T157, 42T202, 42T204
42T206 $S_4\times F_8$ $1344$ $-1$ ✓ $S_3$, $C_7$, $S_3\times C_7$ 32T96719, 42T207
42T207 $S_4\times F_8$ $1344$ $1$ ✓ $S_3$, $C_7$, $S_3\times C_7$ 32T96719, 42T206
42T208 $C_2^3.\GL(3,2)$ $1344$ $1$ $\GL(3,2)$ x 2, $C_2^3.\GL(3,2)$, $\PSL(2,7)$ 14T33 x 2, 28T152, 28T158 x 2, 42T208, 42T209 x 2
42T209 $C_2^3.\GL(3,2)$ $1344$ $1$ $\GL(3,2)$ x 2, $\PSL(2,7)$ 14T33 x 2, 28T152, 28T158 x 2, 42T208 x 2, 42T209
42T210 $C_2^3:\GL(3,2)$ $1344$ $1$ $\GL(3,2)$ x 2, $\PSL(2,7)$ 8T48 x 2, 14T34 x 2, 28T153, 28T159 x 2, 42T210, 42T211 x 2
42T211 $C_2^3:\GL(3,2)$ $1344$ $1$ $\GL(3,2)$ x 2, $C_2^3:\GL(3,2)$, $\PSL(2,7)$ 8T48 x 2, 14T34 x 2, 28T153, 28T159 x 2, 42T210 x 2, 42T211
42T212 $S_3^2:F_7$ $1512$ $-1$ ✓ $C_2$, $C_3^2:D_4$, $F_7$, $F_7$ 42T217
42T213 $(C_7\times S_3^2):C_6$ $1512$ $-1$ ✓ $C_2$, $C_3^2:D_4$, $C_7:C_3$, $(C_7:C_3) \times C_2$ 42T213
42T214 $C_3^2:C_{28}:C_6$ $1512$ $-1$ ✓ $C_2$, $C_3^2:D_4$, $F_7$, $F_7 \times C_2$ 42T214
42T215 $S_3^2\times F_7$ $1512$ $-1$ ✓ $C_2$, $S_3^2$, $F_7$, $F_7 \times C_2$
42T216 $C_3^2:C_4\times F_7$ $1512$ $1$ ✓ $C_2$, $C_3^2:C_4$, $F_7$, $F_7 \times C_2$ 42T216
42T217 $S_3^2:F_7$ $1512$ $-1$ ✓ $C_2$, $C_3^2:D_4$, $F_7$, $F_7 \times C_2$ 42T212
42T218 $D_7\times S_5$ $1680$ $-1$ $\PGL(2,5)$, $D_{7}$ 35T23
42T219 $C_{14}^2:C_3^2$ $1764$ $1$ ✓ $C_3$, $A_4$, $C_7^2:C_3^2$ 42T219 x 5
42T220 $C_7^2:C_6^2$ $1764$ $-1$ ✓ $C_2$, $C_3$, $C_6$, $C_7:(C_3\times F_7)$ 42T220 x 3
42T221 $C_7^2:(C_6\times S_3)$ $1764$ $-1$ ✓ $C_2$, $S_3$, $D_{6}$, $C_7^2:(C_3\times S_3)$ 28T167, 42T221, 42T222 x 2
42T222 $C_7^2:(C_6\times S_3)$ $1764$ $-1$ ✓ $C_2$, $S_3$, $D_{6}$, $C_7^2:(C_3\times S_3)$ 28T167, 42T221 x 2, 42T222
42T223 $C_7^2:(C_6\times S_3)$ $1764$ $-1$ ✓ $C_2$, $S_3$, $S_3$, $C_7^2:(C_6\times S_3)$ 14T37, 21T29 x 2, 28T170, 42T223, 42T224 x 2, 42T225 x 2, 42T252, 42T253, 42T254, 42T255
42T224 $C_7^2:(C_6\times S_3)$ $1764$ $-1$ ✓ $C_2$, $S_3$, $D_{6}$, $C_7^2:(C_6\times S_3)$ 14T37, 21T29 x 2, 28T170, 42T223 x 2, 42T224, 42T225 x 2, 42T252, 42T253, 42T254, 42T255
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Results are complete for degrees $\leq 23$.