Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
6066 conjugacy classes of subgroups.
The subgroup lattice has 1098 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10574175 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #494340 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #494327 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #494273 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#12741 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #493528 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #392905 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #146783 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #146740 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #146543 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #146375 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C22×#576 | C22 | 1 | 1 | yes | characteristic |
| 13 | #62652 | — | 2 | 1 | no | — |
| 14 | #60176 | — | 2 | 8 | no | — |
| 15 | C4×#576 | — | 2 | 8 | no | — |
| 16 | #60168 | — | 2 | 4 | no | — |
| 17 | #60168 | — | 2 | 2 | no | — |
| 18 | #60167 | — | 2 | 2 | no | — |
| 19 | #60167 | C22 | 1 | 2 | yes | — |
| 20 | C2×#2948 | — | 2 | 2 | no | — |
| 21 | C2×#2948 | C22 | 1 | 2 | yes | — |
| 22 | #60108 | C22 | 1 | 1 | yes | characteristic |
| 23 | #60087 | — | 2 | 1 | no | — |
| 24 | #60058 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#2155 | C22 | 1 | 2 | yes | complemented |
| 26 | C2×#2148 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#2148 | C22 | 1 | 1 | yes | characteristic |
| 28 | C22×#361 | C22 | 1 | 1 | yes | characteristic |
| 29 | C22×#361 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#2145 | C22 | 1 | 2 | yes | — |
| 31 | C2×#2140 | C22 | 1 | 2 | yes | — |
| 32 | C2×#2115 | C22 | 1 | 1 | yes | characteristic |
| 33 | #33333 | C22 | 1 | 1 | yes | characteristic |
| 34 | #21163 | C22 | 1 | 2 | yes | complemented |
| 35 | #20892 | — | 2 | 1 | no | — |
| 36 | C2×#1812 | C22 | 1 | 1 | yes | characteristic |
| 37 | #20668 | C22 | 1 | 1 | yes | characteristic |
| 38 | #12956 | — | 2 | 8 | no | — |
| 39 | #12951 | — | 2 | 8 | no | — |
| 40 | #12932 | — | 2 | 4 | no | — |
| 41 | #12741 | C4 | 1 | 8 | yes | complemented |
| 42 | #12738 | — | 2 | 2 | no | — |
| 43 | #12736 | — | 2 | 2 | no | — |
| 44 | C2×#1389 | C22 | 1 | 2 | yes | complemented |
| 45 | #12567 | C22 | 1 | 2 | yes | complemented |
| 46 | C2×#1384 | C22 | 1 | 2 | yes | complemented |
| 47 | #12549 | C22 | 1 | 2 | yes | complemented |
| 48 | #12547 | C22 | 1 | 2 | yes | complemented |
| 49 | #10890 | — | 2 | 2 | no | — |
| 50 | #10868 | C22 | 1 | 2 | yes | complemented |
| 51 | #10743 | — | 2 | 1 | no | — |
| 52 | C22×H(5,𝔽2) | — | 2 | 1 | no | — |
| 53 | C2×#576 | — | 2 | 4 | no | — |
| 54 | C2×#576 | — | 2 | 4 | no | — |
| 55 | C2×#576 | — | 2 | 4 | no | — |
| 56 | C2×#576 | — | 2 | 4 | no | — |
| 57 | C2×#576 | — | 2 | 2 | no | — |
| 58 | C2×#576 | — | 2 | 2 | no | — |
| 59 | C2×#576 | C2×C4 | 1 | 4 | yes | — |
| 60 | C2×#576 | Q8 | 1 | 4 | yes | — |
| 61 | C22×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 62 | C22×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 63 | C22×#135 | D4 | 1 | 2 | yes | — |
| 64 | C22×#135 | C23 | 1 | 1 | yes | characteristic |
| 65 | C23×D8 | D4 | 1 | 2 | yes | — |
| 66 | C23×D8 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×#568 | D4 | 1 | 1 | yes | characteristic |
| 68 | C22×#131 | C23 | 1 | 1 | yes | characteristic |
| 69 | C4×H(5,𝔽2) | — | 2 | 16 | no | — |
| 70 | C4×H(5,𝔽2) | — | 4 | 8 | no | — |
| 71 | #3428 | — | 2 | 1 | no | — |
| 72 | #3428 | — | 2 | 4 | no | — |
| 73 | #3428 | — | 2 | 2 | no | — |
| 74 | #3428 | — | 4 | 2 | no | — |
| 75 | #3428 | D4 | 1 | 1 | yes | characteristic |
| 76 | C2×#518 | — | 2 | 4 | no | — |
| 77 | C2×#518 | — | 2 | 2 | no | — |
| 78 | C2×#518 | — | 4 | 4 | no | — |
| 79 | C2×#518 | — | 4 | 2 | no | — |
| 80 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 81 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 82 | C22×M32 | C23 | 1 | 2 | yes | — |
| 83 | #2952 | — | 2 | 8 | no | — |
| 84 | #2952 | — | 2 | 4 | no | — |
| 85 | #2951 | — | 2 | 8 | no | — |
| 86 | #2951 | — | 2 | 4 | no | — |
| 87 | #2950 | — | 2 | 2 | no | — |
| 88 | #2949 | — | 2 | 8 | no | — |
| 89 | #2949 | — | 2 | 4 | no | — |
| 90 | #2948 | — | 2 | 8 | no | — |
| 91 | #2948 | — | 2 | 8 | no | — |
| 92 | #2948 | — | 2 | 8 | no | — |
| 93 | #2948 | — | 2 | 4 | no | — |
| 94 | #2948 | — | 2 | 4 | no | — |
| 95 | #2948 | — | 2 | 2 | no | — |
| 96 | #2948 | — | 2 | 4 | no | — |
| 97 | #2948 | — | 2 | 4 | no | — |
| 98 | #2946 | — | 2 | 32 | no | — |
| 99 | #2946 | — | 2 | 16 | no | — |
| 100 | C4×AGL(1,ℤ/8) | — | 2 | 32 | no | — |
| 101 | C4×AGL(1,ℤ/8) | — | 2 | 16 | no | — |
| 102 | #2943 | — | 2 | 8 | no | — |
| 103 | #2943 | — | 2 | 4 | no | — |
| 104 | C2×#442 | — | 2 | 8 | no | — |
| 105 | C2×#442 | D4 | 1 | 8 | yes | — |
| 106 | C4×#135 | — | 2 | 8 | no | — |
| 107 | C4×#135 | D4 | 1 | 8 | yes | — |
| 108 | C2×C4×D8 | — | 2 | 8 | no | — |
| 109 | C2×C4×D8 | — | 2 | 4 | no | — |
| 110 | C22×#108 | C23 | 1 | 1 | yes | characteristic |
| 111 | C22×#108 | C23 | 1 | 1 | yes | characteristic |
| 112 | #2913 | — | 2 | 4 | no | — |
| 113 | #2912 | — | 2 | 4 | no | — |
| 114 | #2911 | — | 2 | 1 | no | — |
| 115 | #2911 | D4 | 1 | 4 | yes | — |
| 116 | C2×#427 | — | 2 | 2 | no | — |
| 117 | C2×#427 | C23 | 1 | 2 | yes | — |
| 118 | C2×#427 | C23 | 1 | 2 | yes | — |
| 119 | #2905 | — | 2 | 2 | no | — |
| 120 | #2897 | — | 2 | 16 | no | — |
| 121 | #2896 | — | 2 | 4 | no | — |
| 122 | #2896 | — | 2 | 2 | no | — |
| 123 | C2×#418 | — | 2 | 4 | no | — |
| 124 | C2×#418 | — | 2 | 2 | no | — |
| 125 | C2×#410 | — | 2 | 1 | no | — |
| 126 | #2879 | — | 2 | 1 | no | — |
| 127 | #2875 | — | 2 | 4 | no | — |
| 128 | C4×#131 | — | 2 | 4 | no | — |
| 129 | #2873 | — | 2 | 2 | no | — |
| 130 | #2873 | D4 | 1 | 2 | yes | — |
| 131 | C2×#405 | — | 2 | 2 | no | — |
| 132 | C2×#405 | C23 | 1 | 2 | yes | — |
| 133 | #2155 | — | 2 | 4 | no | — |
| 134 | #2155 | — | 2 | 4 | no | — |
| 135 | C2×#365 | — | 2 | 4 | no | — |
| 136 | #2148 | — | 2 | 4 | no | — |
| 137 | #2148 | — | 2 | 4 | no | — |
| 138 | C2×#362 | — | 2 | 1 | no | — |
| 139 | C2×#362 | — | 2 | 1 | no | — |
| 140 | C2×#361 | — | 2 | 4 | no | — |
| 141 | C2×#361 | — | 2 | 2 | no | — |
| 142 | C2×#361 | — | 2 | 2 | no | — |
| 143 | C2×#361 | — | 2 | 1 | no | — |
| 144 | C2×#361 | — | 2 | 1 | no | — |
| 145 | C2×#361 | — | 2 | 4 | no | — |
| 146 | #2145 | — | 2 | 4 | no | — |
| 147 | #2145 | C2×C4 | 1 | 8 | yes | complemented |
| 148 | C2×#360 | — | 2 | 4 | no | — |
| 149 | #2140 | — | 2 | 4 | no | — |
| 150 | #2140 | C2×C4 | 1 | 8 | yes | complemented |
| 151 | C2×#357 | — | 2 | 4 | no | — |
| 152 | #2115 | — | 2 | 2 | no | — |
| 153 | #2115 | C2×C4 | 1 | 4 | yes | complemented |
| 154 | C2×#349 | — | 2 | 2 | no | — |
| 155 | #2113 | — | 2 | 2 | no | — |
| 156 | #2113 | — | 2 | 2 | no | — |
| 157 | #2112 | — | 2 | 2 | no | — |
| 158 | #1946 | — | 2 | 4 | no | — |
| 159 | #1945 | — | 2 | 4 | no | — |
| 160 | #1868 | — | 4 | 4 | no | — |
| 161 | #1812 | — | 2 | 2 | no | — |
| 162 | #1812 | C2×C4 | 1 | 4 | yes | complemented |
| 163 | #1811 | — | 2 | 2 | no | — |
| 164 | #1810 | — | 2 | 2 | no | — |
| 165 | C2×#344 | — | 2 | 2 | no | — |
| 166 | #1738 | — | 2 | 1 | no | — |
| 167 | #1733 | — | 2 | 2 | no | — |
| 168 | C2×H(3,ℤ/4) | — | 2 | 1 | no | — |
| 169 | C2×H(3,ℤ/4) | — | 2 | 2 | no | — |
| 170 | #1389 | — | 2 | 4 | no | — |
| 171 | #1386 | — | 2 | 4 | no | — |
| 172 | #1384 | — | 2 | 4 | no | — |
| 173 | #1376 | — | 2 | 4 | no | — |
| 174 | #1375 | — | 2 | 4 | no | — |
| 175 | C2×H(5,𝔽2) | — | 2 | 8 | no | — |
| 176 | C2×H(5,𝔽2) | — | 2 | 8 | no | — |
| 177 | C2×H(5,𝔽2) | — | 2 | 4 | no | — |
| 178 | C2×H(5,𝔽2) | — | 2 | 4 | no | — |
| 179 | C2×H(5,𝔽2) | — | 4 | 4 | no | — |
| 180 | C2×H(5,𝔽2) | — | 4 | 4 | no | — |
| 181 | C2×H(5,𝔽2) | — | 4 | 2 | no | — |
| 182 | C2×H(5,𝔽2) | — | 4 | 2 | no | — |
| 183 | C22×#41 | — | 2 | 2 | no | — |
| 184 | C22×#41 | — | 2 | 1 | no | — |
| 185 | C22×#41 | — | 4 | 1 | no | — |
| 186 | C22×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 187 | C23×D4 | — | 2 | 2 | no | — |
| 188 | C23×D4 | — | 2 | 1 | no | — |
| 189 | C23×D4 | — | 4 | 1 | no | — |
| 190 | C23×D4 | — | 4 | 2 | no | — |
| 191 | #576 | — | 2 | 16 | no | — |
| 192 | #576 | — | 2 | 16 | no | — |
| 193 | #576 | — | 2 | 16 | no | — |
| 194 | #576 | — | 2 | 16 | no | — |
| 195 | #576 | — | 2 | 16 | no | — |
| 196 | #576 | — | 2 | 16 | no | — |
| 197 | #576 | — | 2 | 16 | no | — |
| 198 | #576 | — | 2 | 16 | no | — |
| 199 | C2×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 200 | C2×AGL(1,ℤ/8) | — | 2 | 16 | no | — |
| 201 | C2×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 202 | C2×AGL(1,ℤ/8) | — | 2 | 16 | no | — |
| 203 | C2×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 204 | C2×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 205 | C2×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 206 | C2×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 207 | C2×#135 | — | 2 | 4 | no | — |
| 208 | C2×#135 | — | 2 | 4 | no | — |
| 209 | C2×#135 | — | 2 | 4 | no | — |
| 210 | C2×#135 | — | 2 | 4 | no | — |
| 211 | C2×#135 | — | 2 | 4 | no | — |
| 212 | C2×#135 | — | 2 | 2 | no | — |
| 213 | C2×#135 | — | 2 | 2 | no | — |
| 214 | C2×#135 | — | 2 | 1 | no | — |
| 215 | C2×#135 | — | 2 | 1 | no | — |
| 216 | C2×#135 | C4⋊C4 | 1 | 8 | yes | — |
| 217 | C2×#135 | C22×C4 | 1 | 2 | yes | — |
| 218 | C2×#135 | C2×D4 | 1 | 4 | yes | — |
| 219 | C2×#135 | C2×Q8 | 1 | 2 | yes | — |
| 220 | C2×#135 | #41 | 1 | 4 | yes | — |
| 221 | C22×Q16 | C2×D4 | 1 | 1 | yes | characteristic |
| 222 | C22×SD16 | — | 2 | 2 | no | — |
| 223 | C22×SD16 | — | 2 | 1 | no | — |
| 224 | C22×D8 | — | 2 | 4 | no | — |
| 225 | C22×D8 | — | 2 | 4 | no | — |
| 226 | C22×D8 | — | 2 | 4 | no | — |
| 227 | C22×D8 | — | 2 | 4 | no | — |
| 228 | C22×D8 | — | 2 | 2 | no | — |
| 229 | C22×D8 | — | 2 | 4 | no | — |
| 230 | C22×D8 | — | 2 | 2 | no | — |
| 231 | C22×D8 | — | 2 | 1 | no | — |
| 232 | C22×D8 | — | 2 | 2 | no | — |
| 233 | C22×D8 | — | 2 | 1 | no | — |
| 234 | C22×D8 | — | 2 | 1 | no | — |
| 235 | C22×D8 | C4⋊C4 | 1 | 8 | yes | — |
| 236 | C22×D8 | C22×C4 | 1 | 2 | yes | — |
| 237 | C22×D8 | C2×D4 | 1 | 1 | yes | characteristic |
| 238 | C22×D8 | C2×D4 | 1 | 2 | yes | — |
| 239 | C22×D8 | C2×D4 | 1 | 4 | yes | — |
| 240 | C22×D8 | C2×Q8 | 1 | 2 | yes | — |
| 241 | C22×D8 | #41 | 1 | 4 | yes | — |
| 242 | #568 | — | 2 | 2 | no | — |
| 243 | #568 | — | 2 | 2 | no | — |
| 244 | #568 | — | 4 | 2 | no | — |
| 245 | C2×#131 | — | 2 | 4 | no | — |
| 246 | C2×#131 | — | 2 | 2 | no | — |
| 247 | C2×#131 | — | 2 | 2 | no | — |
| 248 | C2×#131 | — | 2 | 2 | no | — |
| 249 | C2×#131 | — | 2 | 2 | no | — |
| 250 | C2×#131 | C22×C4 | 1 | 2 | yes | — |
| 251 | C2×#131 | C2×Q8 | 1 | 2 | yes | — |
| 252 | C2×#131 | #41 | 1 | 2 | yes | — |
| 253 | C2×#131 | #41 | 1 | 2 | yes | — |
| 254 | C22×M16 | — | 2 | 2 | no | — |
| 255 | C22×M16 | — | 2 | 1 | no | — |
| 256 | C22×M16 | — | 2 | 1 | no | — |
| 257 | C22×M16 | C2×D4 | 1 | 2 | yes | — |
| 258 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 259 | C22×M16 | C2×D4 | 1 | 2 | yes | — |
| 260 | C23×C8 | C2×D4 | 1 | 2 | yes | — |
| 261 | C23×C8 | C24 | 1 | 1 | yes | characteristic |
| 262 | #520 | — | 2 | 8 | no | — |
| 263 | #520 | — | 2 | 4 | no | — |
| 264 | #520 | — | 2 | 16 | no | — |
| 265 | #520 | — | 2 | 8 | no | — |
| 266 | #520 | — | 4 | 8 | no | — |
| 267 | #520 | — | 4 | 4 | no | — |
| 268 | #520 | — | 4 | 16 | no | — |
| 269 | #519 | — | 2 | 4 | no | — |
| 270 | #519 | — | 4 | 1 | no | — |
| 271 | #519 | SD16 | 1 | 2 | yes | — |
| 272 | #518 | — | 2 | 2 | no | — |
| 273 | #518 | — | 2 | 4 | no | — |
| 274 | #518 | — | 2 | 8 | no | — |
| 275 | #518 | — | 2 | 16 | no | — |
| 276 | #518 | — | 2 | 8 | no | — |
| 277 | #518 | — | 4 | 4 | no | — |
| 278 | #518 | — | 4 | 8 | no | — |
| 279 | #518 | — | 4 | 8 | no | — |
| 280 | #518 | — | 4 | 8 | no | — |
| 281 | #518 | — | 4 | 32 | no | — |
| 282 | #518 | — | 4 | 16 | no | — |
| 283 | #518 | — | 4 | 1 | no | — |
| 284 | #518 | — | 4 | 2 | no | — |
| 285 | #518 | — | 4 | 4 | no | — |
| 286 | #518 | — | 4 | 4 | no | — |
| 287 | #518 | SD16 | 1 | 2 | yes | — |
| 288 | C4×#41 | — | 2 | 4 | no | — |
| 289 | C4×#41 | — | 2 | 16 | no | — |
| 290 | C4×#41 | — | 2 | 8 | no | — |
| 291 | C4×#41 | — | 4 | 8 | no | — |
| 292 | C4×#41 | — | 4 | 16 | no | — |
| 293 | C4×#41 | — | 4 | 4 | no | — |
| 294 | C4×#41 | — | 4 | 4 | no | — |
| 295 | C2×C4×D4 | — | 2 | 16 | no | — |
| 296 | C2×C4×D4 | — | 2 | 8 | no | — |
| 297 | C2×C4×D4 | — | 4 | 8 | no | — |
| 298 | C2×C4×D4 | — | 4 | 4 | no | — |
| 299 | C2×C4×D4 | — | 4 | 32 | no | — |
| 300 | C2×C4×D4 | — | 4 | 16 | no | — |
| 301 | C2×#117 | — | 2 | 2 | no | — |
| 302 | C2×#117 | — | 2 | 4 | no | — |
| 303 | C2×#117 | — | 2 | 2 | no | — |
| 304 | C2×#117 | — | 2 | 2 | no | — |
| 305 | C2×#117 | — | 4 | 8 | no | — |
| 306 | C2×#117 | — | 4 | 4 | no | — |
| 307 | C2×#117 | C2×D4 | 1 | 2 | yes | — |
| 308 | C22×C22⋊C4 | — | 4 | 4 | no | — |
| 309 | C22×C22⋊C4 | — | 4 | 8 | no | — |
| 310 | C2×M32 | — | 2 | 2 | no | — |
| 311 | C2×M32 | — | 2 | 2 | no | — |
| 312 | C2×M32 | — | 2 | 2 | no | — |
| 313 | C2×M32 | — | 2 | 2 | no | — |
| 314 | C2×M32 | — | 2 | 2 | no | — |
| 315 | C2×M32 | — | 2 | 1 | no | — |
| 316 | C2×M32 | — | 2 | 1 | no | — |
| 317 | C2×M32 | — | 2 | 2 | no | — |
| 318 | C2×M32 | — | 2 | 2 | no | — |
| 319 | C2×M32 | — | 2 | 1 | no | — |
| 320 | C2×M32 | — | 2 | 1 | no | — |
| 321 | C2×M32 | — | 2 | 2 | no | — |
| 322 | C2×M32 | — | 2 | 2 | no | — |
| 323 | C2×M32 | C22×C4 | 1 | 4 | yes | complemented |
| 324 | C22×C16 | — | 2 | 2 | no | — |
| 325 | C22×C16 | — | 2 | 1 | no | — |
| 326 | C22×C16 | — | 2 | 1 | no | — |
| 327 | #442 | — | 2 | 8 | no | — |
| 328 | #442 | — | 2 | 32 | no | — |
| 329 | #442 | — | 2 | 16 | no | — |
| 330 | #442 | — | 2 | 16 | no | — |
| 331 | #441 | — | 2 | 8 | no | — |
| 332 | #440 | — | 2 | 32 | no | — |
| 333 | #440 | — | 2 | 16 | no | — |
| 334 | C4×Q16 | — | 2 | 8 | no | — |
| 335 | C4×SD16 | — | 2 | 32 | no | — |
| 336 | C4×SD16 | — | 2 | 16 | no | — |
| 337 | C4×D8 | — | 2 | 16 | no | — |
| 338 | C4×D8 | — | 2 | 32 | no | — |
| 339 | C4×D8 | — | 2 | 16 | no | — |
| 340 | C4×D8 | — | 2 | 8 | no | — |
| 341 | C2×#108 | — | 2 | 1 | no | — |
| 342 | C2×#108 | — | 2 | 1 | no | — |
| 343 | C2×#108 | — | 2 | 1 | no | — |
| 344 | C2×#108 | — | 2 | 1 | no | — |
| 345 | C2×#108 | — | 2 | 2 | no | — |
| 346 | C2×#108 | — | 2 | 2 | no | — |
| 347 | C2×#108 | — | 2 | 2 | no | — |
| 348 | C2×#108 | — | 2 | 2 | no | — |
| 349 | #428 | — | 2 | 8 | no | — |
| 350 | #428 | — | 2 | 16 | no | — |
| 351 | #427 | — | 2 | 4 | no | — |
| 352 | #427 | — | 2 | 4 | no | — |
| 353 | #427 | — | 2 | 4 | no | — |
| 354 | #427 | — | 2 | 2 | no | — |
| 355 | #427 | — | 2 | 2 | no | — |
| 356 | #427 | — | 2 | 2 | no | — |
| 357 | #427 | — | 2 | 2 | no | — |
| 358 | #427 | — | 2 | 2 | no | — |
| 359 | #427 | C22×C4 | 1 | 4 | yes | complemented |
| 360 | #427 | C2×D4 | 1 | 4 | yes | — |
| 361 | #427 | C2×D4 | 1 | 4 | yes | — |
| 362 | C2×#107 | — | 2 | 4 | no | — |
| 363 | C2×#107 | — | 2 | 2 | no | — |
| 364 | C2×#107 | — | 2 | 2 | no | — |
| 365 | C2×#106 | — | 2 | 4 | no | — |
| 366 | C2×#106 | — | 2 | 2 | no | — |
| 367 | C2×#106 | C2×D4 | 1 | 4 | yes | — |
| 368 | #424 | — | 4 | 4 | no | — |
| 369 | #424 | — | 4 | 4 | no | — |
| 370 | #423 | — | 4 | 4 | no | — |
| 371 | #419 | — | 2 | 4 | no | — |
| 372 | #418 | — | 2 | 4 | no | — |
| 373 | #418 | — | 2 | 8 | no | — |
| 374 | #418 | — | 2 | 16 | no | — |
| 375 | #418 | — | 2 | 8 | no | — |
| 376 | #417 | — | 2 | 16 | no | — |
| 377 | #417 | — | 2 | 8 | no | — |
| 378 | #416 | — | 2 | 16 | no | — |
| 379 | #416 | — | 2 | 8 | no | — |
| 380 | C2×#102 | — | 2 | 16 | no | — |
| 381 | C2×#102 | — | 2 | 8 | no | — |
| 382 | #410 | — | 2 | 4 | no | — |
| 383 | #410 | — | 4 | 2 | no | — |
| 384 | C2×#99 | — | 4 | 2 | no | — |
| 385 | #408 | — | 4 | 2 | no | — |
| 386 | #408 | — | 4 | 2 | no | — |
| 387 | #407 | — | 4 | 2 | no | — |
| 388 | #405 | — | 2 | 4 | no | — |
| 389 | #405 | — | 2 | 4 | no | — |
| 390 | #405 | — | 2 | 8 | no | — |
| 391 | #405 | — | 2 | 4 | no | — |
| 392 | #405 | — | 2 | 4 | no | — |
| 393 | #405 | — | 2 | 2 | no | — |
| 394 | #405 | — | 2 | 2 | no | — |
| 395 | #405 | — | 2 | 2 | no | — |
| 396 | #405 | — | 2 | 2 | no | — |
| 397 | C4×M16 | — | 2 | 8 | no | — |
| 398 | C4×M16 | — | 2 | 4 | no | — |
| 399 | C2×#97 | — | 2 | 4 | no | — |
| 400 | C2×#97 | C2×D4 | 1 | 4 | yes | — |
| 401 | C2×C4×C8 | — | 2 | 4 | no | — |
| 402 | C2×C4×C8 | C2×D4 | 1 | 4 | yes | — |
| 403 | #365 | — | 4 | 8 | no | — |
| 404 | #362 | — | 4 | 2 | no | — |
| 405 | #362 | — | 4 | 2 | no | — |
| 406 | #361 | — | 4 | 4 | no | — |
| 407 | #361 | — | 4 | 2 | no | — |
| 408 | #361 | — | 4 | 4 | no | — |
| 409 | #361 | — | 4 | 2 | no | — |
| 410 | #360 | — | 2 | 16 | no | — |
| 411 | #357 | — | 2 | 16 | no | — |
| 412 | #349 | — | 2 | 8 | no | — |
| 413 | C22⋊C16 | — | 4 | 4 | no | — |
| 414 | #344 | — | 4 | 4 | no | — |
| 415 | #341 | — | 4 | 2 | no | — |
| 416 | #339 | — | 4 | 4 | no | — |
| 417 | H(3,ℤ/4) | — | 2 | 4 | no | — |
| 418 | H(3,ℤ/4) | — | 4 | 4 | no | — |
| 419 | C25 | — | 4 | 1 | no | — |
| 420 | C25 | — | 4 | 2 | no | — |
| 421 | H(5,𝔽2) | — | 2 | 32 | no | — |
| 422 | H(5,𝔽2) | — | 2 | 32 | no | — |
| 423 | H(5,𝔽2) | — | 4 | 16 | no | — |
| 424 | H(5,𝔽2) | — | 4 | 16 | no | — |
| 425 | H(5,𝔽2) | — | 4 | 16 | no | — |
| 426 | H(5,𝔽2) | — | 4 | 16 | no | — |
| 427 | H(5,𝔽2) | — | 4 | 16 | no | — |
| 428 | H(5,𝔽2) | — | 4 | 16 | no | — |
| 429 | C2×#41 | — | 2 | 2 | no | — |
| 430 | C2×#41 | — | 2 | 2 | no | — |
| 431 | C2×#41 | — | 2 | 2 | no | — |
| 432 | C2×#41 | — | 2 | 2 | no | — |
| 433 | C2×#41 | — | 2 | 8 | no | — |
| 434 | C2×#41 | — | 2 | 8 | no | — |
| 435 | C2×#41 | — | 2 | 2 | no | — |
| 436 | C2×#41 | — | 2 | 4 | no | — |
| 437 | C2×#41 | — | 2 | 2 | no | — |
| 438 | C2×#41 | — | 2 | 4 | no | — |
| 439 | C2×#41 | — | 2 | 8 | no | — |
| 440 | C2×#41 | — | 4 | 4 | no | — |
| 441 | C2×#41 | — | 4 | 4 | no | — |
| 442 | C2×#41 | — | 4 | 8 | no | — |
| 443 | C2×#41 | — | 4 | 8 | no | — |
| 444 | C2×#41 | — | 4 | 4 | no | — |
| 445 | C2×#41 | — | 4 | 4 | no | — |
| 446 | C2×#41 | — | 4 | 1 | no | — |
| 447 | C2×#41 | — | 4 | 2 | no | — |
| 448 | C2×#41 | — | 4 | 1 | no | — |
| 449 | C2×#41 | — | 4 | 2 | no | — |
| 450 | C2×#41 | — | 4 | 4 | no | — |
| 451 | C2×#41 | C4×D4 | 1 | 2 | yes | — |
| 452 | C2×#41 | C22⋊Q8 | 1 | 2 | yes | — |
| 453 | C2×#41 | #135 | 1 | 2 | yes | — |
| 454 | C2×#41 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 455 | C22×Q8 | — | 2 | 1 | no | — |
| 456 | C22×Q8 | C2×SD16 | 1 | 1 | yes | characteristic |
| 457 | C22×D4 | — | 2 | 8 | no | — |
| 458 | C22×D4 | — | 2 | 8 | no | — |
| 459 | C22×D4 | — | 2 | 2 | no | — |
| 460 | C22×D4 | — | 2 | 4 | no | — |
| 461 | C22×D4 | — | 2 | 1 | no | — |
| 462 | C22×D4 | — | 2 | 2 | no | — |
| 463 | C22×D4 | — | 2 | 2 | no | — |
| 464 | C22×D4 | — | 2 | 4 | no | — |
| 465 | C22×D4 | — | 2 | 8 | no | — |
| 466 | C22×D4 | — | 4 | 4 | no | — |
| 467 | C22×D4 | — | 4 | 4 | no | — |
| 468 | C22×D4 | — | 4 | 16 | no | — |
| 469 | C22×D4 | — | 4 | 8 | no | — |
| 470 | C22×D4 | — | 4 | 16 | no | — |
| 471 | C22×D4 | — | 4 | 8 | no | — |
| 472 | C22×D4 | — | 4 | 1 | no | — |
| 473 | C22×D4 | — | 4 | 2 | no | — |
| 474 | C22×D4 | — | 4 | 4 | no | — |
| 475 | C22×D4 | — | 4 | 8 | no | — |
| 476 | C22×D4 | — | 4 | 4 | no | — |
| 477 | C22×D4 | — | 4 | 8 | no | — |
| 478 | C22×D4 | — | 4 | 1 | no | — |
| 479 | C22×D4 | — | 4 | 1 | no | — |
| 480 | C22×D4 | — | 4 | 2 | no | — |
| 481 | C22×D4 | — | 4 | 1 | no | — |
| 482 | C22×D4 | — | 4 | 2 | no | — |
| 483 | C22×D4 | — | 4 | 4 | no | — |
| 484 | C22×D4 | — | 4 | 2 | no | — |
| 485 | C22×D4 | C2×SD16 | 1 | 1 | yes | characteristic |
| 486 | C22×D4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 487 | C23×C4 | — | 4 | 16 | no | — |
| 488 | C23×C4 | — | 4 | 8 | no | — |
| 489 | C23×C4 | — | 4 | 1 | no | — |
| 490 | C23×C4 | — | 4 | 2 | no | — |
| 491 | C23×C4 | #120 | 1 | 2 | yes | — |
| 492 | C23×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 493 | AGL(1,ℤ/8) | — | 2 | 32 | no | — |
| 494 | AGL(1,ℤ/8) | — | 2 | 32 | no | — |
| 495 | AGL(1,ℤ/8) | — | 2 | 64 | no | — |
| 496 | AGL(1,ℤ/8) | — | 2 | 64 | no | — |
| 497 | #135 | — | 2 | 16 | no | — |
| 498 | #135 | — | 2 | 16 | no | — |
| 499 | #135 | — | 2 | 16 | no | — |
| 500 | #135 | — | 2 | 16 | no | — |
| 501 | #135 | — | 2 | 4 | no | — |
| 502 | #135 | — | 2 | 4 | no | — |
| 503 | #135 | — | 2 | 4 | no | — |
| 504 | #135 | — | 2 | 4 | no | — |
| 505 | #135 | — | 2 | 4 | no | — |
| 506 | #135 | — | 2 | 4 | no | — |
| 507 | #135 | C4×D4 | 1 | 8 | yes | — |
| 508 | #135 | C22⋊Q8 | 1 | 8 | yes | — |
| 509 | C2×Q16 | — | 2 | 1 | no | — |
| 510 | C2×Q16 | — | 2 | 1 | no | — |
| 511 | C2×Q16 | — | 2 | 1 | no | — |
| 512 | C2×Q16 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 513 | C2×Q16 | #120 | 1 | 2 | yes | — |
| 514 | C2×Q16 | #123 | 1 | 2 | yes | — |
| 515 | C2×SD16 | — | 2 | 8 | no | — |
| 516 | C2×SD16 | — | 2 | 8 | no | — |
| 517 | C2×SD16 | — | 2 | 2 | no | — |
| 518 | C2×SD16 | — | 2 | 4 | no | — |
| 519 | C2×SD16 | — | 2 | 2 | no | — |
| 520 | C2×SD16 | — | 2 | 4 | no | — |
| 521 | C2×SD16 | — | 2 | 8 | no | — |
| 522 | C2×D8 | — | 2 | 8 | no | — |
| 523 | C2×D8 | — | 2 | 8 | no | — |
| 524 | C2×D8 | — | 2 | 16 | no | — |
| 525 | C2×D8 | — | 2 | 16 | no | — |
| 526 | C2×D8 | — | 2 | 16 | no | — |
| 527 | C2×D8 | — | 2 | 16 | no | — |
| 528 | C2×D8 | — | 2 | 2 | no | — |
| 529 | C2×D8 | — | 2 | 4 | no | — |
| 530 | C2×D8 | — | 2 | 2 | no | — |
| 531 | C2×D8 | — | 2 | 1 | no | — |
| 532 | C2×D8 | — | 2 | 4 | no | — |
| 533 | C2×D8 | — | 2 | 2 | no | — |
| 534 | C2×D8 | — | 2 | 4 | no | — |
| 535 | C2×D8 | — | 2 | 1 | no | — |
| 536 | C2×D8 | — | 2 | 2 | no | — |
| 537 | C2×D8 | — | 2 | 2 | no | — |
| 538 | C2×D8 | — | 2 | 1 | no | — |
| 539 | C2×D8 | — | 2 | 4 | no | — |
| 540 | C2×D8 | — | 2 | 4 | no | — |
| 541 | C2×D8 | — | 2 | 4 | no | — |
| 542 | C2×D8 | — | 2 | 4 | no | — |
| 543 | C2×D8 | — | 2 | 4 | no | — |
| 544 | C2×D8 | — | 2 | 8 | no | — |
| 545 | C2×D8 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 546 | C2×D8 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 547 | C2×D8 | C4×D4 | 1 | 8 | yes | — |
| 548 | C2×D8 | #120 | 1 | 2 | yes | — |
| 549 | C2×D8 | #120 | 1 | 4 | yes | — |
| 550 | C2×D8 | C22⋊Q8 | 1 | 8 | yes | — |
| 551 | C2×D8 | #123 | 1 | 2 | yes | — |
| 552 | C2×D8 | #123 | 1 | 4 | yes | — |
| 553 | #131 | — | 2 | 4 | no | — |
| 554 | #131 | — | 2 | 4 | no | — |
| 555 | #131 | — | 2 | 4 | no | — |
| 556 | #131 | — | 2 | 4 | no | — |
| 557 | #131 | — | 2 | 4 | no | — |
| 558 | #131 | — | 2 | 4 | no | — |
| 559 | #131 | — | 2 | 4 | no | — |
| 560 | #131 | — | 2 | 4 | no | — |
| 561 | #131 | — | 4 | 8 | no | — |
| 562 | #131 | — | 4 | 8 | no | — |
| 563 | C2×M16 | — | 2 | 2 | no | — |
| 564 | C2×M16 | — | 2 | 2 | no | — |
| 565 | C2×M16 | — | 2 | 4 | no | — |
| 566 | C2×M16 | — | 2 | 2 | no | — |
| 567 | C2×M16 | — | 2 | 2 | no | — |
| 568 | C2×M16 | — | 2 | 2 | no | — |
| 569 | C2×M16 | — | 2 | 2 | no | — |
| 570 | C2×M16 | — | 2 | 2 | no | — |
| 571 | C2×M16 | — | 2 | 2 | no | — |
| 572 | C2×M16 | — | 2 | 4 | no | — |
| 573 | C2×M16 | — | 2 | 4 | no | — |
| 574 | C2×M16 | — | 4 | 4 | no | — |
| 575 | C2×M16 | — | 4 | 4 | no | — |
| 576 | C2×M16 | — | 4 | 2 | no | — |
| 577 | C2×M16 | — | 4 | 1 | no | — |
| 578 | C2×M16 | — | 4 | 1 | no | — |
| 579 | C2×M16 | — | 4 | 2 | no | — |
| 580 | C2×M16 | — | 4 | 1 | no | — |
| 581 | C2×M16 | — | 4 | 2 | no | — |
| 582 | C2×M16 | — | 4 | 1 | no | — |
| 583 | C2×M16 | — | 4 | 2 | no | — |
| 584 | C2×M16 | C4×D4 | 1 | 4 | yes | — |
| 585 | C2×M16 | C4×D4 | 1 | 2 | yes | — |
| 586 | C2×M16 | C22⋊Q8 | 1 | 4 | yes | — |
| 587 | C2×M16 | C22⋊Q8 | 1 | 2 | yes | — |
| 588 | C22×C8 | — | 2 | 2 | no | — |
| 589 | C22×C8 | — | 2 | 2 | no | — |
| 590 | C22×C8 | — | 2 | 2 | no | — |
| 591 | C22×C8 | — | 2 | 2 | no | — |
| 592 | C22×C8 | — | 2 | 4 | no | — |
| 593 | C22×C8 | — | 4 | 1 | no | — |
| 594 | C22×C8 | — | 4 | 1 | no | — |
| 595 | C22×C8 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 596 | C22×C8 | #120 | 1 | 4 | yes | — |
| 597 | C22×C8 | #120 | 1 | 2 | yes | — |
| 598 | C22×C8 | #123 | 1 | 4 | yes | — |
| 599 | C22×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 600 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 601 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 602 | C22×C8 | C22×D4 | 1 | 2 | yes | — |
| 603 | C22×C8 | C22×D4 | 1 | 2 | yes | — |
| 604 | C22×C8 | C22×Q8 | 1 | 1 | yes | characteristic |
| 605 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 606 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 607 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 608 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 609 | C4×Q8 | — | 2 | 8 | no | — |
| 610 | C4×Q8 | — | 2 | 16 | no | — |
| 611 | C4×Q8 | — | 4 | 8 | no | — |
| 612 | C4×Q8 | — | 4 | 8 | no | — |
| 613 | C4×D4 | — | 2 | 16 | no | — |
| 614 | C4×D4 | — | 2 | 16 | no | — |
| 615 | C4×D4 | — | 2 | 32 | no | — |
| 616 | C4×D4 | — | 2 | 8 | no | — |
| 617 | C4×D4 | — | 4 | 32 | no | — |
| 618 | C4×D4 | — | 4 | 32 | no | — |
| 619 | C4×D4 | — | 4 | 16 | no | — |
| 620 | C4×D4 | — | 4 | 32 | no | — |
| 621 | C4×D4 | — | 4 | 16 | no | — |
| 622 | C4×D4 | — | 4 | 16 | no | — |
| 623 | C4×D4 | — | 4 | 8 | no | — |
| 624 | C4×D4 | — | 4 | 32 | no | — |
| 625 | C4×D4 | — | 4 | 16 | no | — |
| 626 | C4×D4 | — | 4 | 16 | no | — |
| 627 | C4×D4 | — | 4 | 8 | no | — |
| 628 | C4×D4 | — | 4 | 16 | no | — |
| 629 | #117 | — | 2 | 4 | no | — |
| 630 | #117 | — | 2 | 4 | no | — |
| 631 | #117 | — | 2 | 2 | no | — |
| 632 | #117 | — | 2 | 2 | no | — |
| 633 | #117 | — | 2 | 4 | no | — |
| 634 | #117 | — | 2 | 8 | no | — |
| 635 | #117 | — | 2 | 4 | no | — |
| 636 | #117 | — | 2 | 4 | no | — |
| 637 | #117 | — | 2 | 4 | no | — |
| 638 | #117 | — | 4 | 16 | no | — |
| 639 | #117 | — | 4 | 8 | no | — |
| 640 | #117 | — | 4 | 16 | no | — |
| 641 | #117 | — | 4 | 8 | no | — |
| 642 | #117 | — | 4 | 4 | no | — |
| 643 | #117 | — | 4 | 2 | no | — |
| 644 | #117 | — | 4 | 2 | no | — |
| 645 | #117 | — | 4 | 4 | no | — |
| 646 | #117 | — | 4 | 2 | no | — |
| 647 | #117 | — | 4 | 8 | no | — |
| 648 | #117 | — | 4 | 2 | no | — |
| 649 | #117 | — | 4 | 2 | no | — |
| 650 | #117 | C2×SD16 | 1 | 4 | yes | — |
| 651 | #117 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 652 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 653 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 654 | C2×C4⋊C4 | — | 2 | 8 | no | — |
| 655 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 656 | C2×C4⋊C4 | — | 4 | 16 | no | — |
| 657 | C2×C4⋊C4 | — | 4 | 8 | no | — |
| 658 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 659 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 660 | C2×C22⋊C4 | — | 2 | 4 | no | — |
| 661 | C2×C22⋊C4 | — | 4 | 16 | no | — |
| 662 | C2×C22⋊C4 | — | 4 | 8 | no | — |
| 663 | C2×C22⋊C4 | — | 4 | 16 | no | — |
| 664 | C2×C22⋊C4 | — | 4 | 16 | no | — |
| 665 | C2×C22⋊C4 | — | 4 | 16 | no | — |
| 666 | C2×C22⋊C4 | — | 4 | 16 | no | — |
| 667 | C2×C22⋊C4 | — | 4 | 8 | no | — |
| 668 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 669 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 670 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 671 | C2×C42 | — | 2 | 4 | no | — |
| 672 | C2×C42 | — | 4 | 16 | no | — |
| 673 | C2×C42 | — | 4 | 4 | no | — |
| 674 | C2×C42 | — | 4 | 2 | no | — |
| 675 | C2×C42 | — | 4 | 8 | no | — |
| 676 | C2×C42 | — | 4 | 2 | no | — |
| 677 | C2×C42 | #120 | 1 | 4 | yes | — |
| 678 | M32 | — | 2 | 4 | no | — |
| 679 | M32 | — | 2 | 4 | no | — |
| 680 | M32 | — | 4 | 2 | no | — |
| 681 | M32 | — | 4 | 2 | no | — |
| 682 | M32 | — | 4 | 1 | no | — |
| 683 | M32 | — | 4 | 1 | no | — |
| 684 | M32 | — | 4 | 1 | no | — |
| 685 | M32 | — | 4 | 1 | no | — |
| 686 | M32 | — | 4 | 2 | no | — |
| 687 | M32 | — | 4 | 2 | no | — |
| 688 | C2×C16 | — | 2 | 4 | no | — |
| 689 | C2×C16 | — | 4 | 2 | no | — |
| 690 | C2×C16 | — | 4 | 2 | no | — |
| 691 | C2×C16 | — | 4 | 1 | no | — |
| 692 | C2×C16 | — | 4 | 1 | no | — |
| 693 | C2×C16 | — | 4 | 2 | no | — |
| 694 | C2×C16 | — | 4 | 2 | no | — |
| 695 | #108 | — | 4 | 1 | no | — |
| 696 | #108 | — | 4 | 1 | no | — |
| 697 | #108 | — | 4 | 2 | no | — |
| 698 | #108 | — | 4 | 1 | no | — |
| 699 | #108 | — | 4 | 1 | no | — |
| 700 | #108 | — | 4 | 2 | no | — |
| 701 | #107 | — | 2 | 8 | no | — |
| 702 | #107 | — | 2 | 4 | no | — |
| 703 | #107 | — | 2 | 4 | no | — |
| 704 | #107 | — | 2 | 4 | no | — |
| 705 | #107 | — | 4 | 2 | no | — |
| 706 | #106 | — | 2 | 8 | no | — |
| 707 | #106 | — | 2 | 4 | no | — |
| 708 | #106 | — | 2 | 4 | no | — |
| 709 | #106 | — | 4 | 2 | no | — |
| 710 | #106 | #120 | 1 | 8 | yes | — |
| 711 | C4⋊C8 | — | 8 | 8 | no | — |
| 712 | #103 | — | 2 | 16 | no | — |
| 713 | #102 | — | 2 | 16 | no | — |
| 714 | #102 | — | 2 | 32 | no | — |
| 715 | #99 | — | 4 | 8 | no | — |
| 716 | C22⋊C8 | — | 8 | 4 | no | — |
| 717 | #97 | — | 2 | 8 | no | — |
| 718 | #97 | — | 2 | 4 | no | — |
| 719 | #97 | — | 2 | 4 | no | — |
| 720 | C4×C8 | — | 2 | 8 | no | — |
| 721 | C4×C8 | — | 2 | 4 | no | — |
| 722 | C4×C8 | — | 2 | 4 | no | — |
| 723 | C24 | — | 4 | 8 | no | — |
| 724 | C24 | — | 4 | 8 | no | — |
| 725 | C24 | — | 4 | 1 | no | — |
| 726 | C24 | — | 4 | 2 | no | — |
| 727 | C24 | — | 4 | 4 | no | — |
| 728 | C24 | — | 4 | 2 | no | — |
| 729 | C24 | — | 4 | 4 | no | — |
| 730 | C24 | — | 4 | 8 | no | — |
| 731 | C24 | — | 4 | 2 | no | — |
| 732 | C24 | — | 32 | 2 | no | — |
| 733 | C24 | — | 32 | 4 | no | — |
| 734 | C24 | #450 | 1 | 2 | yes | — |
| 735 | C24 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 736 | #41 | — | 2 | 4 | no | — |
| 737 | #41 | — | 2 | 4 | no | — |
| 738 | #41 | — | 2 | 4 | no | — |
| 739 | #41 | — | 2 | 4 | no | — |
| 740 | #41 | — | 2 | 4 | no | — |
| 741 | #41 | — | 2 | 4 | no | — |
| 742 | #41 | — | 2 | 4 | no | — |
| 743 | #41 | — | 2 | 4 | no | — |
| 744 | #41 | — | 2 | 32 | no | — |
| 745 | #41 | — | 2 | 8 | no | — |
| 746 | #41 | — | 2 | 8 | no | — |
| 747 | #41 | — | 4 | 16 | no | — |
| 748 | #41 | — | 4 | 16 | no | — |
| 749 | #41 | — | 4 | 16 | no | — |
| 750 | #41 | — | 4 | 32 | no | — |
| 751 | #41 | — | 4 | 32 | no | — |
| 752 | #41 | — | 4 | 4 | no | — |
| 753 | #41 | — | 4 | 4 | no | — |
| 754 | #41 | — | 4 | 4 | no | — |
| 755 | #41 | — | 4 | 4 | no | — |
| 756 | #41 | — | 4 | 4 | no | — |
| 757 | #41 | — | 4 | 4 | no | — |
| 758 | C2×Q8 | — | 2 | 2 | no | — |
| 759 | C2×Q8 | — | 2 | 2 | no | — |
| 760 | C2×Q8 | — | 2 | 2 | no | — |
| 761 | C2×Q8 | — | 2 | 2 | no | — |
| 762 | C2×Q8 | — | 2 | 2 | no | — |
| 763 | C2×Q8 | — | 4 | 1 | no | — |
| 764 | C2×Q8 | — | 4 | 1 | no | — |
| 765 | C2×Q8 | — | 4 | 1 | no | — |
| 766 | C2×Q8 | C4×SD16 | 1 | 2 | yes | — |
| 767 | C2×Q8 | #476 | 1 | 2 | yes | — |
| 768 | C2×D4 | — | 2 | 4 | no | — |
| 769 | C2×D4 | — | 2 | 4 | no | — |
| 770 | C2×D4 | — | 2 | 32 | no | — |
| 771 | C2×D4 | — | 2 | 2 | no | — |
| 772 | C2×D4 | — | 2 | 2 | no | — |
| 773 | C2×D4 | — | 2 | 4 | no | — |
| 774 | C2×D4 | — | 2 | 8 | no | — |
| 775 | C2×D4 | — | 2 | 2 | no | — |
| 776 | C2×D4 | — | 2 | 4 | no | — |
| 777 | C2×D4 | — | 2 | 2 | no | — |
| 778 | C2×D4 | — | 2 | 4 | no | — |
| 779 | C2×D4 | — | 2 | 2 | no | — |
| 780 | C2×D4 | — | 2 | 8 | no | — |
| 781 | C2×D4 | — | 4 | 8 | no | — |
| 782 | C2×D4 | — | 4 | 8 | no | — |
| 783 | C2×D4 | — | 4 | 16 | no | — |
| 784 | C2×D4 | — | 4 | 16 | no | — |
| 785 | C2×D4 | — | 4 | 16 | no | — |
| 786 | C2×D4 | — | 4 | 64 | no | — |
| 787 | C2×D4 | — | 4 | 64 | no | — |
| 788 | C2×D4 | — | 4 | 32 | no | — |
| 789 | C2×D4 | — | 4 | 32 | no | — |
| 790 | C2×D4 | — | 4 | 8 | no | — |
| 791 | C2×D4 | — | 4 | 8 | no | — |
| 792 | C2×D4 | — | 4 | 2 | no | — |
| 793 | C2×D4 | — | 4 | 4 | no | — |
| 794 | C2×D4 | — | 4 | 8 | no | — |
| 795 | C2×D4 | — | 4 | 2 | no | — |
| 796 | C2×D4 | — | 4 | 4 | no | — |
| 797 | C2×D4 | — | 4 | 4 | no | — |
| 798 | C2×D4 | — | 4 | 4 | no | — |
| 799 | C2×D4 | — | 4 | 4 | no | — |
| 800 | C2×D4 | — | 4 | 4 | no | — |
| 801 | C2×D4 | — | 4 | 8 | no | — |
| 802 | C2×D4 | — | 4 | 2 | no | — |
| 803 | C2×D4 | — | 4 | 4 | no | — |
| 804 | C2×D4 | — | 4 | 4 | no | — |
| 805 | C2×D4 | — | 4 | 2 | no | — |
| 806 | C2×D4 | — | 4 | 1 | no | — |
| 807 | C2×D4 | — | 4 | 4 | no | — |
| 808 | C2×D4 | — | 4 | 1 | no | — |
| 809 | C2×D4 | — | 4 | 2 | no | — |
| 810 | C2×D4 | — | 4 | 1 | no | — |
| 811 | C2×D4 | — | 4 | 2 | no | — |
| 812 | C2×D4 | — | 4 | 4 | no | — |
| 813 | C2×D4 | — | 4 | 2 | no | — |
| 814 | C2×D4 | C4×SD16 | 1 | 2 | yes | — |
| 815 | C2×D4 | #442 | 1 | 4 | yes | — |
| 816 | C2×D4 | #476 | 1 | 2 | yes | — |
| 817 | C2×D4 | #478 | 1 | 4 | yes | — |
| 818 | C22×C4 | — | 2 | 2 | no | — |
| 819 | C22×C4 | — | 2 | 2 | no | — |
| 820 | C22×C4 | — | 2 | 2 | no | — |
| 821 | C22×C4 | — | 2 | 2 | no | — |
| 822 | C22×C4 | — | 2 | 8 | no | — |
| 823 | C22×C4 | — | 2 | 4 | no | — |
| 824 | C22×C4 | — | 4 | 8 | no | — |
| 825 | C22×C4 | — | 4 | 8 | no | — |
| 826 | C22×C4 | — | 4 | 32 | no | — |
| 827 | C22×C4 | — | 4 | 16 | no | — |
| 828 | C22×C4 | — | 4 | 1 | no | — |
| 829 | C22×C4 | — | 4 | 4 | no | — |
| 830 | C22×C4 | — | 4 | 8 | no | — |
| 831 | C22×C4 | — | 4 | 2 | no | — |
| 832 | C22×C4 | — | 4 | 4 | no | — |
| 833 | C22×C4 | — | 4 | 2 | no | — |
| 834 | C22×C4 | — | 4 | 8 | no | — |
| 835 | C22×C4 | — | 4 | 4 | no | — |
| 836 | C22×C4 | — | 8 | 2 | no | — |
| 837 | C22×C4 | — | 32 | 8 | no | — |
| 838 | C22×C4 | — | 32 | 16 | no | — |
| 839 | C22×C4 | #385 | 1 | 4 | yes | — |
| 840 | C22×C4 | #449 | 1 | 4 | yes | — |
| 841 | C22×C4 | #450 | 1 | 2 | yes | — |
| 842 | C22×C4 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 843 | C22×C4 | C2×#120 | 1 | 2 | yes | — |
| 844 | C22×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 845 | C22×C4 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 846 | C22×C4 | #525 | 1 | 2 | yes | — |
| 847 | C22×C4 | C22×SD16 | 1 | 1 | yes | characteristic |
| 848 | C22×C4 | C2×#135 | 1 | 1 | yes | characteristic |
| 849 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 850 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 851 | C22×C4 | #575 | 1 | 2 | yes | — |
| 852 | Q16 | — | 2 | 2 | no | — |
| 853 | Q16 | — | 2 | 2 | no | — |
| 854 | Q16 | — | 2 | 2 | no | — |
| 855 | Q16 | #385 | 1 | 4 | yes | — |
| 856 | SD16 | — | 2 | 32 | no | — |
| 857 | SD16 | — | 2 | 8 | no | — |
| 858 | SD16 | — | 2 | 8 | no | — |
| 859 | D8 | — | 2 | 32 | no | — |
| 860 | D8 | — | 2 | 8 | no | — |
| 861 | D8 | — | 2 | 2 | no | — |
| 862 | D8 | — | 2 | 4 | no | — |
| 863 | D8 | — | 2 | 2 | no | — |
| 864 | D8 | — | 2 | 4 | no | — |
| 865 | D8 | — | 2 | 4 | no | — |
| 866 | D8 | — | 2 | 2 | no | — |
| 867 | D8 | — | 2 | 8 | no | — |
| 868 | D8 | #385 | 1 | 4 | yes | — |
| 869 | D8 | #385 | 1 | 8 | yes | — |
| 870 | M16 | — | 2 | 4 | no | — |
| 871 | M16 | — | 2 | 4 | no | — |
| 872 | M16 | — | 2 | 8 | no | — |
| 873 | M16 | — | 2 | 8 | no | — |
| 874 | M16 | — | 4 | 8 | no | — |
| 875 | M16 | — | 4 | 2 | no | — |
| 876 | M16 | — | 4 | 2 | no | — |
| 877 | M16 | — | 4 | 2 | no | — |
| 878 | M16 | — | 4 | 2 | no | — |
| 879 | M16 | — | 8 | 1 | no | — |
| 880 | M16 | — | 8 | 1 | no | — |
| 881 | M16 | — | 8 | 2 | no | — |
| 882 | M16 | — | 8 | 2 | no | — |
| 883 | M16 | — | 8 | 1 | no | — |
| 884 | M16 | — | 8 | 1 | no | — |
| 885 | C2×C8 | — | 2 | 2 | no | — |
| 886 | C2×C8 | — | 2 | 2 | no | — |
| 887 | C2×C8 | — | 2 | 4 | no | — |
| 888 | C2×C8 | — | 2 | 4 | no | — |
| 889 | C2×C8 | — | 2 | 4 | no | — |
| 890 | C2×C8 | — | 2 | 4 | no | — |
| 891 | C2×C8 | — | 2 | 4 | no | — |
| 892 | C2×C8 | — | 2 | 4 | no | — |
| 893 | C2×C8 | — | 2 | 4 | no | — |
| 894 | C2×C8 | — | 4 | 8 | no | — |
| 895 | C2×C8 | — | 8 | 2 | no | — |
| 896 | C2×C8 | — | 8 | 1 | no | — |
| 897 | C2×C8 | — | 8 | 1 | no | — |
| 898 | C2×C8 | — | 8 | 2 | no | — |
| 899 | C2×C8 | #385 | 1 | 4 | yes | — |
| 900 | C2×C8 | C22×C4⋊C4 | 1 | 1 | yes | characteristic |
| 901 | C2×C8 | C2×C4×D4 | 1 | 2 | yes | — |
| 902 | C2×C8 | C2×C4×D4 | 1 | 2 | yes | — |
| 903 | C2×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 904 | C2×C8 | C2×#120 | 1 | 2 | yes | — |
| 905 | C2×C8 | C2×#120 | 1 | 1 | yes | characteristic |
| 906 | C2×C8 | C2×#120 | 1 | 1 | yes | characteristic |
| 907 | C2×C8 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 908 | C2×C8 | C2×C22⋊Q8 | 1 | 2 | yes | — |
| 909 | C2×C8 | C2×C22⋊Q8 | 1 | 2 | yes | — |
| 910 | C2×C8 | C2×#123 | 1 | 1 | yes | characteristic |
| 911 | C2×C8 | C2×#123 | 1 | 1 | yes | characteristic |
| 912 | C2×C8 | C2×#123 | 1 | 1 | yes | characteristic |
| 913 | C2×C8 | #525 | 1 | 2 | yes | — |
| 914 | C2×C8 | #525 | 1 | 2 | yes | — |
| 915 | C2×C8 | #525 | 1 | 2 | yes | — |
| 916 | C2×C8 | #525 | 1 | 2 | yes | — |
| 917 | C2×C8 | #525 | 1 | 2 | yes | — |
| 918 | C4⋊C4 | — | 2 | 8 | no | — |
| 919 | C4⋊C4 | — | 2 | 4 | no | — |
| 920 | C4⋊C4 | — | 2 | 4 | no | — |
| 921 | C4⋊C4 | — | 2 | 8 | no | — |
| 922 | C4⋊C4 | — | 4 | 8 | no | — |
| 923 | C4⋊C4 | — | 4 | 16 | no | — |
| 924 | C4⋊C4 | — | 4 | 4 | no | — |
| 925 | C4⋊C4 | — | 4 | 4 | no | — |
| 926 | C4⋊C4 | — | 8 | 2 | no | — |
| 927 | C22⋊C4 | — | 2 | 8 | no | — |
| 928 | C22⋊C4 | — | 2 | 4 | no | — |
| 929 | C22⋊C4 | — | 2 | 4 | no | — |
| 930 | C22⋊C4 | — | 4 | 32 | no | — |
| 931 | C22⋊C4 | — | 4 | 16 | no | — |
| 932 | C22⋊C4 | — | 4 | 8 | no | — |
| 933 | C22⋊C4 | — | 4 | 4 | no | — |
| 934 | C22⋊C4 | — | 4 | 4 | no | — |
| 935 | C22⋊C4 | — | 4 | 4 | no | — |
| 936 | C22⋊C4 | — | 8 | 2 | no | — |
| 937 | C42 | — | 2 | 8 | no | — |
| 938 | C42 | — | 2 | 4 | no | — |
| 939 | C42 | — | 4 | 8 | no | — |
| 940 | C42 | — | 4 | 16 | no | — |
| 941 | C42 | — | 4 | 4 | no | — |
| 942 | C42 | — | 4 | 4 | no | — |
| 943 | C42 | — | 4 | 4 | no | — |
| 944 | C42 | — | 8 | 2 | no | — |
| 945 | C42 | #450 | 1 | 8 | yes | — |
| 946 | C16 | — | 4 | 4 | no | — |
| 947 | C16 | — | 8 | 1 | no | — |
| 948 | C16 | — | 8 | 1 | no | — |
| 949 | C23 | — | 2 | 2 | no | — |
| 950 | C23 | — | 2 | 2 | no | — |
| 951 | C23 | — | 4 | 32 | no | — |
| 952 | C23 | — | 4 | 4 | no | — |
| 953 | C23 | — | 4 | 2 | no | — |
| 954 | C23 | — | 4 | 4 | no | — |
| 955 | C23 | — | 4 | 2 | no | — |
| 956 | C23 | — | 4 | 8 | no | — |
| 957 | C23 | — | 4 | 8 | no | — |
| 958 | C23 | — | 4 | 4 | no | — |
| 959 | C23 | — | 4 | 2 | no | — |
| 960 | C23 | — | 8 | 1 | no | — |
| 961 | C23 | — | 8 | 2 | no | — |
| 962 | C23 | — | 16 | 8 | no | — |
| 963 | C23 | — | 16 | 16 | no | — |
| 964 | C23 | — | 16 | 4 | no | — |
| 965 | C23 | — | 16 | 2 | no | — |
| 966 | C23 | — | 32 | 4 | no | — |
| 967 | C23 | — | 32 | 2 | no | — |
| 968 | C23 | — | 32 | 2 | no | — |
| 969 | C23 | — | 32 | 8 | no | — |
| 970 | C23 | — | 32 | 8 | no | — |
| 971 | C23 | #1864 | 1 | 4 | yes | — |
| 972 | C23 | C2×#442 | 1 | 1 | yes | characteristic |
| 973 | C23 | C2×#450 | 1 | 1 | yes | characteristic |
| 974 | C23 | #3003 | 1 | 2 | yes | — |
| 975 | C23 | C2×#478 | 1 | 1 | yes | characteristic |
| 976 | C23 | #3114 | 1 | 2 | yes | — |
| 977 | Q8 | — | 2 | 4 | no | — |
| 978 | Q8 | — | 2 | 4 | no | — |
| 979 | Q8 | — | 2 | 4 | no | — |
| 980 | Q8 | — | 4 | 2 | no | — |
| 981 | Q8 | — | 4 | 2 | no | — |
| 982 | Q8 | — | 4 | 2 | no | — |
| 983 | D4 | — | 2 | 8 | no | — |
| 984 | D4 | — | 2 | 8 | no | — |
| 985 | D4 | — | 2 | 4 | no | — |
| 986 | D4 | — | 2 | 8 | no | — |
| 987 | D4 | — | 2 | 4 | no | — |
| 988 | D4 | — | 2 | 4 | no | — |
| 989 | D4 | — | 4 | 32 | no | — |
| 990 | D4 | — | 4 | 32 | no | — |
| 991 | D4 | — | 4 | 8 | no | — |
| 992 | D4 | — | 4 | 8 | no | — |
| 993 | D4 | — | 4 | 2 | no | — |
| 994 | D4 | — | 4 | 4 | no | — |
| 995 | D4 | — | 4 | 2 | no | — |
| 996 | D4 | — | 4 | 4 | no | — |
| 997 | D4 | — | 4 | 8 | no | — |
| 998 | D4 | — | 4 | 8 | no | — |
| 999 | D4 | — | 4 | 2 | no | — |
| 1000 | D4 | — | 4 | 4 | no | — |
| 1001 | C2×C4 | — | 2 | 2 | no | — |
| 1002 | C2×C4 | — | 2 | 2 | no | — |
| 1003 | C2×C4 | — | 2 | 4 | no | — |
| 1004 | C2×C4 | — | 2 | 4 | no | — |
| 1005 | C2×C4 | — | 2 | 4 | no | — |
| 1006 | C2×C4 | — | 2 | 4 | no | — |
| 1007 | C2×C4 | — | 2 | 8 | no | — |
| 1008 | C2×C4 | — | 4 | 32 | no | — |
| 1009 | C2×C4 | — | 4 | 2 | no | — |
| 1010 | C2×C4 | — | 4 | 2 | no | — |
| 1011 | C2×C4 | — | 4 | 2 | no | — |
| 1012 | C2×C4 | — | 4 | 8 | no | — |
| 1013 | C2×C4 | — | 4 | 8 | no | — |
| 1014 | C2×C4 | — | 4 | 8 | no | — |
| 1015 | C2×C4 | — | 8 | 4 | no | — |
| 1016 | C2×C4 | — | 8 | 8 | no | — |
| 1017 | C2×C4 | — | 8 | 4 | no | — |
| 1018 | C2×C4 | — | 16 | 32 | no | — |
| 1019 | C2×C4 | — | 16 | 16 | no | — |
| 1020 | C2×C4 | — | 16 | 4 | no | — |
| 1021 | C2×C4 | — | 16 | 8 | no | — |
| 1022 | C2×C4 | — | 32 | 2 | no | — |
| 1023 | C2×C4 | #1864 | 1 | 4 | yes | — |
| 1024 | C2×C4 | C2×#385 | 1 | 1 | yes | characteristic |
| 1025 | C2×C4 | C4×#120 | 1 | 2 | yes | — |
| 1026 | C2×C4 | #2846 | 1 | 1 | yes | characteristic |
| 1027 | C2×C4 | #2848 | 1 | 2 | yes | — |
| 1028 | C2×C4 | #2849 | 1 | 1 | yes | characteristic |
| 1029 | C2×C4 | C2×C4×SD16 | 1 | 1 | yes | characteristic |
| 1030 | C2×C4 | C4×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 1031 | C2×C4 | C2×#450 | 1 | 2 | yes | — |
| 1032 | C2×C4 | C2×#449 | 1 | 1 | yes | characteristic |
| 1033 | C2×C4 | #3002 | 1 | 2 | yes | — |
| 1034 | C2×C4 | #3003 | 1 | 1 | yes | characteristic |
| 1035 | C2×C4 | #3005 | 1 | 1 | yes | characteristic |
| 1036 | C2×C4 | #3006 | 1 | 2 | yes | — |
| 1037 | C2×C4 | C2×#476 | 1 | 1 | yes | characteristic |
| 1038 | C2×C4 | #3077 | 1 | 2 | yes | — |
| 1039 | C2×C4 | #3101 | 1 | 2 | yes | — |
| 1040 | C2×C4 | #3105 | 1 | 2 | yes | — |
| 1041 | C2×C4 | #3109 | 1 | 2 | yes | — |
| 1042 | C8 | — | 2 | 4 | no | — |
| 1043 | C8 | — | 4 | 4 | no | — |
| 1044 | C8 | — | 16 | 1 | no | — |
| 1045 | C8 | — | 16 | 1 | no | — |
| 1046 | C8 | C2×#385 | 1 | 1 | yes | characteristic |
| 1047 | C8 | C2×#385 | 1 | 1 | yes | characteristic |
| 1048 | C8 | C4×#120 | 1 | 2 | yes | — |
| 1049 | C8 | #2848 | 1 | 2 | yes | — |
| 1050 | C8 | #2849 | 1 | 1 | yes | characteristic |
| 1051 | C8 | #2849 | 1 | 1 | yes | characteristic |
| 1052 | C22 | — | 2 | 4 | no | — |
| 1053 | C22 | — | 4 | 2 | no | — |
| 1054 | C22 | — | 4 | 2 | no | — |
| 1055 | C22 | — | 4 | 1 | no | — |
| 1056 | C22 | — | 4 | 1 | no | — |
| 1057 | C22 | — | 4 | 1 | no | — |
| 1058 | C22 | — | 4 | 4 | no | — |
| 1059 | C22 | — | 4 | 4 | no | — |
| 1060 | C22 | — | 4 | 8 | no | — |
| 1061 | C22 | — | 4 | 4 | no | — |
| 1062 | C22 | — | 8 | 2 | no | — |
| 1063 | C22 | — | 8 | 8 | no | — |
| 1064 | C22 | — | 8 | 4 | no | — |
| 1065 | C22 | — | 16 | 8 | no | — |
| 1066 | C22 | — | 16 | 8 | no | — |
| 1067 | C22 | — | 16 | 4 | no | — |
| 1068 | C22 | — | 16 | 2 | no | — |
| 1069 | C22 | — | 16 | 4 | no | — |
| 1070 | C22 | — | 16 | 2 | no | — |
| 1071 | C22 | — | 16 | 32 | no | — |
| 1072 | C22 | C2×#1864 | 1 | 1 | yes | characteristic |
| 1073 | C22 | #21452 | 1 | 2 | yes | — |
| 1074 | C22 | #32881 | 1 | 1 | yes | characteristic |
| 1075 | C22 | #32959 | 1 | 2 | yes | — |
| 1076 | C22 | #33007 | 1 | 1 | yes | characteristic |
| 1077 | C4 | — | 2 | 4 | no | — |
| 1078 | C4 | — | 4 | 8 | no | — |
| 1079 | C4 | — | 4 | 4 | no | — |
| 1080 | C4 | — | 8 | 8 | no | — |
| 1081 | C4 | — | 16 | 4 | no | — |
| 1082 | C4 | #14693 | 1 | 1 | yes | characteristic |
| 1083 | C4 | #20873 | 1 | 1 | yes | characteristic |
| 1084 | C4 | C4×#450 | 1 | 2 | yes | — |
| 1085 | C4 | #32880 | 1 | 1 | yes | characteristic |
| 1086 | C4 | #32956 | 1 | 2 | yes | — |
| 1087 | C4 | #33004 | 1 | 1 | yes | characteristic |
| 1088 | C2 | — | 2 | 1 | no | — |
| 1089 | C2 | — | 2 | 2 | no | — |
| 1090 | C2 | — | 2 | 1 | no | — |
| 1091 | C2 | — | 2 | 1 | no | — |
| 1092 | C2 | — | 2 | 2 | no | — |
| 1093 | C2 | — | 4 | 4 | no | — |
| 1094 | C2 | — | 8 | 8 | no | — |
| 1095 | C2 | — | 8 | 4 | no | — |
| 1096 | C2 | #392585 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #392585 |
| commutator | C22×C8 | C23×C4 |
| Frattini, cosocle | C23×C8 | C24 |
| prime radical | C22×#576 | C22 |
| LCS | G ▷ C22×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C23×C4 ◁ #60058 ◁ G | |
| LECS | G ▷ C23×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #494340 | C2 | semidirect |
| 3. #494327 | C2 | semidirect |
| 4. #494273 | C2 | semidirect |
| 7. #392905 | C2 | semidirect |
| 8. #146783 | C2 | semidirect |
| 9. #146740 | C2 | semidirect |
| 10. #146543 | C2 | semidirect |
| 11. #146375 | C2 | semidirect |
| 25. C2×#2155 | C22 | semidirect |
| 34. #21163 | C22 | semidirect |
| 41. #12741 | C4 | semidirect |
| 44. C2×#1389 | C22 | semidirect |
| 45. #12567 | C22 | semidirect |
| 46. C2×#1384 | C22 | semidirect |
| 47. #12549 | C22 | semidirect |
| 48. #12547 | C22 | semidirect |
| 50. #10868 | C22 | semidirect |
| 147. #2145 | C2×C4 | semidirect |
| 150. #2140 | C2×C4 | semidirect |
| 153. #2115 | C2×C4 | semidirect |
| 162. #1812 | C2×C4 | semidirect |
| 323. C2×M32 | C22×C4 | semidirect |
| 359. #427 | C22×C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10574175 | 2 |
| #494340 | 2 |
| #494327 | 2 |
| #494273 | 2 |
| C2×#12741 | 2 |
| #493528 | 2 |
| #392905 | 2 |
| #146783 | 2 |
| #146740 | 2 |
| #146543 | 2 |
| #146375 | 2 |