↑

Learn more

Refine search

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

Results (22 matches)

  displayed columns for results
Label Name Order Parity Solvable Subfields Low Degree Siblings
12T136 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$, $S_3$, $D_{6}$ 12T136 x 3, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
12T137 $C_2^4:S_4$ $384$ $-1$ ✓ $S_3$, $S_4$ 12T136 x 4, 12T137 x 3, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
16T724 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$ x 3, $C_2^2$, $V_4^2:(S_3\times C_2)$ 12T136 x 4, 12T137 x 4, 16T724 x 3, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1143 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$, $S_3$, $D_{6}$, $C_2^3:S_4$ 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1144 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$, $S_3$, $D_{6}$, $C_2^3:S_4$ 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1184 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$ x 3, $S_3$, $C_2^2$, $S_3$, $D_{6}$ x 2, $D_6$, $C_2^4:S_4$ x 2 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1185 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$, $C_2 \times S_4$, $C_2^4:S_4$, $C_2^4:S_4$ 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 3, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1186 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$, $C_2 \times S_4$, $C_2^4:S_4$ x 2 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1187 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$, $S_3$, $D_{6}$, $S_4\times C_2$ x 2, $C_2^2\times S_4$, $C_2^3:S_4$, $C_2^4:S_4$ 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 3, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1188 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$, $S_3$, $D_{6}$, $S_4\times C_2$ x 2, $C_2^2\times S_4$, $C_2^3:S_4$, $C_2^4:S_4$ 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 3, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1189 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$ x 3, $S_3$, $C_2^2$, $D_{6}$ x 3, $S_3 \times C_2^2$, $C_2^3:S_4$, $C_2^4:S_4$ 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 3, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1190 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$ x 3, $S_3$, $C_2^2$, $D_{6}$ x 3, $S_3 \times C_2^2$, $C_2^3:S_4$, $C_2^4:S_4$ 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 3, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1191 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$, $S_3$, $S_3$, $S_4$, $S_4$, $S_4$, $C_2^4:S_4$ x 2 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1192 $C_2^4:S_4$ $384$ $1$ ✓ $S_3$, $S_4$, $S_4$, $S_4$, $C_2^4:S_4$ x 2 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 3, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1193 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$, $C_2 \times S_4$, $C_2^4:S_4$ x 2 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1194 $C_2^4:S_4$ $384$ $1$ ✓ $S_3$, $S_4$, $C_2 \times S_4$, $C_2^4:S_4$ x 2 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 3, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1195 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$, $C_2 \times S_4$, $C_2^3:S_4$, $C_2^4:S_4$ 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 7, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1196 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$, $C_2 \times S_4$, $C_2^3:S_4$, $C_2^4:S_4$ 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 7, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1197 $C_2^4:S_4$ $384$ $1$ ✓ $S_3$, $S_4$, $C_2 \times S_4$, $C_2^3:S_4$, $C_2^4:S_4$ 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 7, 24T1198 x 8, 32T9332 x 2, 32T9457 x 4
24T1198 $C_2^4:S_4$ $384$ $1$ ✓ $S_3$, $S_4$, $C_2 \times S_4$, $C_2^3:S_4$, $C_2^4:S_4$ 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 7, 32T9332 x 2, 32T9457 x 4
32T9332 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $V_4^2:(S_3\times C_2)$, $C_2^3:S_4$, $C_2^4:S_4$ x 2 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332, 32T9457 x 4
32T9457 $C_2^4:S_4$ $384$ $1$ ✓ $C_2$, $S_4$, $S_4\times C_2$, $C_2^3:S_4$ 12T136 x 4, 12T137 x 4, 16T724 x 4, 24T1143 x 2, 24T1144 x 2, 24T1184 x 2, 24T1185 x 4, 24T1186 x 2, 24T1187 x 4, 24T1188 x 4, 24T1189 x 4, 24T1190 x 4, 24T1191 x 2, 24T1192 x 4, 24T1193 x 2, 24T1194 x 4, 24T1195 x 8, 24T1196 x 8, 24T1197 x 8, 24T1198 x 8, 32T9332 x 2, 32T9457 x 3
  displayed columns for results

Results are complete for degrees $\leq 23$.