| 1 | #10624230 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D3×#1220 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10624210 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×D3×#67 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10624165 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#6782 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C2×C3×D3×Dic5 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10624051 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10624050 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10624049 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10624048 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | D3×#1204 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | D3×#1203 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | D3×#1200 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | D32×Dic5 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#6782 | — | 3 | 1 | no | maximal |
| 17 | D3×#711 | — | 3 | 1 | no | maximal |
| 18 | C22×C3×C5×D3 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×D3×D15 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C5×D32 | C22 | 1 | 1 | yes | characteristic |
| 21 | #67184 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C5×#638 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C3×#1220 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×C3×Dic15 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C3×C5×#67 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×C32×Dic5 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #67158 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #67156 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #67155 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #67154 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #67153 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #67152 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #67152 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #67150 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #67149 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | D3×Dic15 | C22 | 1 | 1 | yes | characteristic |
| 37 | D3×Dic15 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C5×#626 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C5×#625 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C5×D3×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 41 | #67141 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #67140 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #67137 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C3⋊D3×Dic5 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C3×#1204 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C3×#1203 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C3×#1200 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C3×D3×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 49 | C3×D3×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 50 | C3×D3×Dic5 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C3×D3×Dic5 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C3×D3×Dic5 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | D3×#235 | — | 5 | 1 | no | maximal, Hall |
| 54 | C2×#1220 | — | 3 | 1 | no | — |
| 55 | #6819 | — | 3 | 1 | no | — |
| 56 | C2×C5×#67 | — | 3 | 1 | no | — |
| 57 | C5×D3×D4 | — | 3 | 1 | no | — |
| 58 | C22×C3×Dic5 | — | 3 | 1 | no | — |
| 59 | C3×#711 | — | 3 | 1 | no | — |
| 60 | D3×C22⋊D5 | — | 3 | 1 | no | — |
| 61 | D3×C22⋊D5 | — | 3 | 1 | no | — |
| 62 | C2×#1204 | — | 3 | 1 | no | — |
| 63 | C2×#1203 | — | 3 | 1 | no | — |
| 64 | C2×#1200 | — | 3 | 1 | no | — |
| 65 | #6782 | — | 3 | 1 | no | — |
| 66 | #6782 | — | 3 | 1 | no | — |
| 67 | #6782 | — | 3 | 1 | no | — |
| 68 | #6782 | — | 3 | 1 | no | — |
| 69 | #6782 | — | 3 | 1 | no | — |
| 70 | #6782 | — | 3 | 1 | no | — |
| 71 | #6782 | — | 3 | 1 | no | — |
| 72 | #6782 | — | 3 | 1 | no | — |
| 73 | #6782 | — | 3 | 1 | no | — |
| 74 | #6782 | — | 6 | 1 | no | — |
| 75 | #6782 | D3 | 1 | 1 | yes | characteristic, direct product factor |
| 76 | C2×D3×Dic5 | — | 3 | 1 | no | — |
| 77 | C2×D3×Dic5 | — | 3 | 1 | no | — |
| 78 | C2×D3×Dic5 | D3 | 1 | 1 | yes | characteristic, complemented |
| 79 | #6780 | — | 3 | 1 | no | — |
| 80 | #6780 | — | 3 | 1 | no | — |
| 81 | C4×D3×D5 | — | 3 | 1 | no | — |
| 82 | #6772 | — | 3 | 1 | no | — |
| 83 | #6768 | — | 3 | 1 | no | — |
| 84 | D3×Dic10 | — | 3 | 1 | no | — |
| 85 | C22×C32×C5 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C3⋊D15 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×C5×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×C3×D15 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×C3×C5×D3 | — | 2 | 2 | no | — |
| 90 | C2×C3×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×C3×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×C3×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 93 | D3×D15 | — | 2 | 2 | no | — |
| 94 | C5×D32 | — | 2 | 2 | no | — |
| 95 | C3⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 96 | C5×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 97 | C3×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 98 | C3×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 99 | C3×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 100 | C3×C5×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 101 | C32×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 102 | C32×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×#711 | — | 9 | 1 | no | Hall |
| 104 | #3828 | — | 5 | 1 | no | — |
| 105 | C3×#235 | — | 5 | 1 | no | — |
| 106 | C2×C3×C4×D3 | — | 5 | 1 | no | — |
| 107 | D3×#67 | — | 5 | 1 | no | — |
| 108 | D3×#67 | D5 | 1 | 1 | yes | characteristic, complemented |
| 109 | #3804 | — | 5 | 1 | no | — |
| 110 | #3804 | — | 5 | 1 | no | — |
| 111 | D3×D12 | — | 5 | 1 | no | — |
| 112 | C4×D32 | — | 5 | 1 | no | — |
| 113 | C4×D32 | — | 5 | 1 | no | — |
| 114 | #3799 | — | 5 | 1 | no | — |
| 115 | #3798 | — | 5 | 1 | no | — |
| 116 | #3798 | — | 5 | 1 | no | — |
| 117 | #3795 | — | 5 | 1 | no | — |
| 118 | D3×Dic6 | — | 5 | 1 | no | — |
| 119 | C23×C3×C5 | — | 3 | 1 | no | — |
| 120 | C22×D15 | — | 3 | 1 | no | — |
| 121 | C22×C5×D3 | — | 3 | 1 | no | — |
| 122 | C22×C5×D3 | — | 3 | 1 | no | — |
| 123 | C22×C5×D3 | C2×D3 | 1 | 1 | yes | characteristic |
| 124 | C2×D3×D5 | — | 3 | 1 | no | — |
| 125 | C3×C5×D4 | — | 3 | 1 | no | — |
| 126 | #1220 | — | 3 | 1 | no | — |
| 127 | #1220 | — | 3 | 1 | no | — |
| 128 | #1220 | — | 3 | 1 | no | — |
| 129 | #1220 | — | 3 | 1 | no | — |
| 130 | #1220 | — | 3 | 1 | no | — |
| 131 | #1220 | — | 6 | 1 | no | — |
| 132 | #1220 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 133 | C2×Dic15 | — | 3 | 1 | no | — |
| 134 | C2×Dic15 | — | 3 | 1 | no | — |
| 135 | C2×Dic15 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 136 | C4×D15 | — | 3 | 1 | no | — |
| 137 | Dic30 | — | 3 | 1 | no | — |
| 138 | C5×#67 | — | 3 | 1 | no | — |
| 139 | C5×#67 | — | 3 | 1 | no | — |
| 140 | C5×#67 | — | 3 | 1 | no | — |
| 141 | C5×#67 | — | 3 | 1 | no | — |
| 142 | C5×#67 | — | 3 | 1 | no | — |
| 143 | C5×#67 | — | 6 | 1 | no | — |
| 144 | C5×#67 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 145 | C2×C5×Dic3 | — | 3 | 1 | no | — |
| 146 | C5×D12 | — | 3 | 1 | no | — |
| 147 | C4×C5×D3 | — | 3 | 1 | no | — |
| 148 | C3×C22⋊D5 | — | 3 | 1 | no | — |
| 149 | C3×C22⋊D5 | — | 3 | 1 | no | — |
| 150 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 151 | C2×C3×Dic5 | — | 3 | 1 | no | — |
| 152 | C2×C3×Dic5 | — | 3 | 1 | no | — |
| 153 | C2×C3×Dic5 | — | 3 | 1 | no | — |
| 154 | C2×C3×Dic5 | — | 3 | 1 | no | — |
| 155 | C2×C3×Dic5 | — | 3 | 1 | no | — |
| 156 | C2×C3×Dic5 | — | 3 | 1 | no | — |
| 157 | C2×C3×Dic5 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 158 | C2×C3×Dic5 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 159 | C3×C4×D5 | — | 3 | 1 | no | — |
| 160 | C3×Dic10 | — | 3 | 1 | no | — |
| 161 | #1204 | — | 3 | 1 | no | — |
| 162 | #1204 | — | 3 | 1 | no | — |
| 163 | #1204 | — | 3 | 1 | no | — |
| 164 | #1204 | — | 3 | 1 | no | — |
| 165 | #1204 | — | 3 | 1 | no | — |
| 166 | #1204 | — | 6 | 1 | no | — |
| 167 | #1204 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 168 | #1203 | — | 3 | 1 | no | — |
| 169 | #1203 | — | 3 | 1 | no | — |
| 170 | #1203 | — | 3 | 1 | no | — |
| 171 | #1203 | — | 3 | 1 | no | — |
| 172 | #1203 | — | 3 | 1 | no | — |
| 173 | #1203 | — | 6 | 1 | no | — |
| 174 | #1203 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 175 | #1201 | — | 3 | 1 | no | — |
| 176 | #1201 | — | 3 | 1 | no | — |
| 177 | #1200 | — | 3 | 1 | no | — |
| 178 | #1200 | — | 3 | 1 | no | — |
| 179 | #1200 | — | 3 | 1 | no | — |
| 180 | #1200 | — | 3 | 1 | no | — |
| 181 | #1200 | — | 6 | 1 | no | — |
| 182 | #1200 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 183 | D3×Dic5 | — | 3 | 1 | no | — |
| 184 | D3×Dic5 | — | 3 | 1 | no | — |
| 185 | D3×Dic5 | — | 3 | 1 | no | — |
| 186 | D3×Dic5 | — | 3 | 1 | no | — |
| 187 | D3×Dic5 | — | 3 | 1 | no | — |
| 188 | D3×Dic5 | — | 3 | 1 | no | — |
| 189 | D3×Dic5 | — | 6 | 1 | no | — |
| 190 | D3×Dic5 | C2×D3 | 1 | 1 | yes | characteristic |
| 191 | D3×Dic5 | C2×D3 | 1 | 1 | yes | characteristic |
| 192 | D3×Dic5 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 193 | D3×Dic5 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 194 | D3×Dic5 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 195 | D5×Dic3 | — | 3 | 1 | no | — |
| 196 | D3×#41 | — | 15 | 1 | no | — |
| 197 | C2×#235 | — | 15 | 1 | no | — |
| 198 | C2×C32×C5 | — | 2 | 1 | no | — |
| 199 | C2×C32×C5 | C24 | 1 | 1 | yes | characteristic |
| 200 | C3⋊D15 | — | 2 | 1 | no | — |
| 201 | C5×C3⋊D3 | — | 2 | 1 | no | — |
| 202 | C3×D15 | — | 2 | 1 | no | — |
| 203 | C3×C5×D3 | — | 2 | 1 | no | — |
| 204 | C3×C5×D3 | — | 2 | 1 | no | — |
| 205 | C3×C5×D3 | #41 | 1 | 2 | yes | complemented |
| 206 | C2×C5×D4 | — | 9 | 1 | no | — |
| 207 | C2×C22⋊D5 | — | 9 | 1 | no | — |
| 208 | C2×C22⋊D5 | — | 9 | 1 | no | — |
| 209 | C22×Dic5 | — | 3 | 1 | no | — |
| 210 | C22×Dic5 | — | 9 | 1 | no | — |
| 211 | #711 | — | 3 | 1 | no | — |
| 212 | #711 | — | 9 | 1 | no | — |
| 213 | #711 | — | 9 | 1 | no | — |
| 214 | #711 | — | 9 | 1 | no | — |
| 215 | #711 | — | 9 | 1 | no | — |
| 216 | #711 | — | 9 | 1 | no | — |
| 217 | #711 | — | 9 | 1 | no | — |
| 218 | #711 | — | 9 | 1 | no | — |
| 219 | C2×C4×D5 | — | 9 | 1 | no | — |
| 220 | C2×Dic10 | — | 9 | 1 | no | — |
| 221 | C22×C3×D3 | C2×D5 | 1 | 1 | yes | characteristic |
| 222 | C2×D32 | — | 5 | 1 | no | — |
| 223 | C2×D32 | C2×D5 | 1 | 1 | yes | characteristic |
| 224 | C2×C32×C4 | — | 5 | 1 | no | — |
| 225 | #638 | — | 5 | 1 | no | — |
| 226 | #638 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 227 | C4⋊(C3⋊D3) | — | 5 | 1 | no | — |
| 228 | C4×C3⋊D3 | — | 5 | 1 | no | — |
| 229 | C4×C3⋊D3 | — | 5 | 1 | no | — |
| 230 | #634 | — | 5 | 1 | no | — |
| 231 | C3×#67 | — | 5 | 1 | no | — |
| 232 | C3×#67 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 233 | C2×C3×Dic3 | — | 5 | 1 | no | — |
| 234 | C3×D12 | — | 5 | 1 | no | — |
| 235 | C3×C4×D3 | — | 5 | 1 | no | — |
| 236 | C3×C4×D3 | — | 5 | 1 | no | — |
| 237 | C3×C4×D3 | — | 5 | 1 | no | — |
| 238 | C3×C4×D3 | — | 5 | 1 | no | — |
| 239 | C3×C4×D3 | — | 5 | 1 | no | — |
| 240 | C3×C4×D3 | — | 5 | 1 | no | — |
| 241 | C3×Dic6 | — | 5 | 1 | no | — |
| 242 | #627 | — | 5 | 1 | no | — |
| 243 | #627 | — | 5 | 1 | no | — |
| 244 | #626 | — | 5 | 1 | no | — |
| 245 | #626 | — | 5 | 1 | no | — |
| 246 | #626 | — | 5 | 1 | no | — |
| 247 | #626 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 248 | #625 | — | 5 | 1 | no | — |
| 249 | #625 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 250 | #624 | — | 5 | 1 | no | — |
| 251 | #624 | — | 5 | 1 | no | — |
| 252 | D3×Dic3 | — | 5 | 1 | no | — |
| 253 | D3×Dic3 | — | 5 | 1 | no | — |
| 254 | D3×Dic3 | — | 5 | 1 | no | — |
| 255 | D3×Dic3 | C2×D5 | 1 | 1 | yes | characteristic |
| 256 | C22×C3×C5 | — | 2 | 1 | no | — |
| 257 | C22×C3×C5 | — | 3 | 1 | no | — |
| 258 | C22×C3×C5 | — | 3 | 1 | no | — |
| 259 | C22×C3×C5 | — | 3 | 1 | no | — |
| 260 | C22×C3×C5 | — | 6 | 2 | no | — |
| 261 | C22×C3×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 262 | C22×C3×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 263 | C2×D15 | — | 3 | 1 | no | — |
| 264 | C2×D15 | — | 3 | 1 | no | — |
| 265 | C2×D15 | — | 6 | 1 | no | — |
| 266 | C2×D15 | — | 6 | 2 | no | — |
| 267 | C2×D15 | C22×D3 | 1 | 1 | yes | characteristic |
| 268 | C2×C5×D3 | — | 2 | 2 | no | — |
| 269 | C2×C5×D3 | — | 3 | 1 | no | — |
| 270 | C2×C5×D3 | — | 3 | 1 | no | — |
| 271 | C2×C5×D3 | — | 6 | 1 | no | — |
| 272 | C2×C5×D3 | — | 6 | 2 | no | — |
| 273 | C2×C5×D3 | — | 6 | 2 | no | — |
| 274 | C2×C5×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 275 | C2×C5×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 276 | C2×C5×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 277 | C2×C3×D5 | — | 3 | 1 | no | — |
| 278 | D3×D5 | — | 6 | 2 | no | — |
| 279 | C3×C4×C5 | — | 3 | 1 | no | — |
| 280 | Dic15 | — | 3 | 1 | no | — |
| 281 | Dic15 | — | 3 | 1 | no | — |
| 282 | Dic15 | — | 6 | 1 | no | — |
| 283 | Dic15 | C22×D3 | 1 | 1 | yes | characteristic |
| 284 | Dic15 | C22×D3 | 1 | 1 | yes | characteristic |
| 285 | Dic15 | C22×D3 | 1 | 1 | yes | characteristic |
| 286 | C3×Dic5 | — | 2 | 1 | no | — |
| 287 | C3×Dic5 | — | 2 | 1 | no | — |
| 288 | C3×Dic5 | — | 3 | 1 | no | — |
| 289 | C3×Dic5 | — | 3 | 1 | no | — |
| 290 | C3×Dic5 | — | 3 | 1 | no | — |
| 291 | C3×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 292 | C3×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 293 | C3×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 294 | C3×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 295 | C5×Dic3 | — | 3 | 1 | no | — |
| 296 | C5×Dic3 | — | 3 | 1 | no | — |
| 297 | C5×Dic3 | — | 6 | 1 | no | — |
| 298 | C5×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 299 | C3×#41 | — | 15 | 1 | no | — |
| 300 | C22×C3×C4 | — | 15 | 1 | no | — |
| 301 | C2×#67 | — | 3 | 1 | no | — |
| 302 | C2×#67 | — | 15 | 1 | no | — |
| 303 | #239 | — | 15 | 1 | no | — |
| 304 | D3×Q8 | — | 15 | 1 | no | — |
| 305 | #237 | — | 15 | 1 | no | — |
| 306 | #237 | — | 15 | 1 | no | — |
| 307 | #237 | — | 15 | 1 | no | — |
| 308 | D3×D4 | — | 3 | 1 | no | — |
| 309 | D3×D4 | — | 15 | 1 | no | — |
| 310 | D3×D4 | — | 15 | 1 | no | — |
| 311 | #235 | — | 5 | 1 | no | — |
| 312 | #235 | — | 15 | 1 | no | — |
| 313 | #235 | — | 15 | 1 | no | — |
| 314 | #235 | — | 15 | 1 | no | — |
| 315 | #235 | — | 15 | 1 | no | — |
| 316 | #235 | — | 15 | 1 | no | — |
| 317 | #235 | — | 15 | 1 | no | — |
| 318 | #235 | — | 15 | 1 | no | — |
| 319 | #235 | — | 15 | 1 | no | — |
| 320 | #235 | — | 15 | 1 | no | — |
| 321 | #235 | — | 15 | 1 | no | — |
| 322 | #235 | — | 30 | 1 | no | — |
| 323 | C2×D12 | — | 15 | 1 | no | — |
| 324 | C2×C4×D3 | — | 5 | 1 | no | — |
| 325 | C2×C4×D3 | — | 15 | 1 | no | — |
| 326 | C2×C4×D3 | — | 15 | 1 | no | — |
| 327 | C2×C4×D3 | — | 15 | 1 | no | — |
| 328 | C2×C4×D3 | — | 15 | 1 | no | — |
| 329 | C2×Dic6 | — | 15 | 1 | no | — |
| 330 | C32×C5 | C2×#41 | 1 | 1 | yes | characteristic, complemented, Hall |
| 331 | C23×C5 | — | 3 | 1 | no | — |
| 332 | C23×C5 | — | 9 | 1 | no | — |
| 333 | C22×D5 | — | 9 | 1 | no | — |
| 334 | C5×D4 | — | 3 | 1 | no | — |
| 335 | C5×D4 | — | 9 | 1 | no | — |
| 336 | C5×D4 | — | 9 | 1 | no | — |
| 337 | C5×D4 | — | 9 | 1 | no | — |
| 338 | C2×C4×C5 | — | 9 | 1 | no | — |
| 339 | C22⋊D5 | — | 3 | 1 | no | — |
| 340 | C22⋊D5 | — | 3 | 1 | no | — |
| 341 | C22⋊D5 | — | 9 | 1 | no | — |
| 342 | C22⋊D5 | — | 9 | 1 | no | — |
| 343 | C22⋊D5 | — | 9 | 1 | no | — |
| 344 | C22⋊D5 | — | 9 | 1 | no | — |
| 345 | C22⋊D5 | — | 9 | 1 | no | — |
| 346 | C22⋊D5 | — | 9 | 1 | no | — |
| 347 | C2×Dic5 | — | 3 | 1 | no | — |
| 348 | C2×Dic5 | — | 3 | 1 | no | — |
| 349 | C2×Dic5 | — | 3 | 1 | no | — |
| 350 | C2×Dic5 | — | 3 | 1 | no | — |
| 351 | C2×Dic5 | — | 3 | 1 | no | — |
| 352 | C2×Dic5 | — | 3 | 1 | no | — |
| 353 | C2×Dic5 | — | 9 | 1 | no | — |
| 354 | C2×Dic5 | — | 9 | 1 | no | — |
| 355 | C2×Dic5 | — | 9 | 1 | no | — |
| 356 | C2×Dic5 | — | 9 | 1 | no | — |
| 357 | C2×Dic5 | D32 | 1 | 1 | yes | characteristic, complemented |
| 358 | C4×D5 | — | 3 | 1 | no | — |
| 359 | C4×D5 | — | 9 | 1 | no | — |
| 360 | C4×D5 | — | 9 | 1 | no | — |
| 361 | C4×D5 | — | 9 | 1 | no | — |
| 362 | Dic10 | — | 3 | 1 | no | — |
| 363 | Dic10 | — | 9 | 1 | no | — |
| 364 | Dic10 | — | 9 | 1 | no | — |
| 365 | Dic10 | — | 9 | 1 | no | — |
| 366 | C22×C32 | C22×D5 | 1 | 1 | yes | characteristic |
| 367 | C2×C3⋊D3 | — | 5 | 1 | no | — |
| 368 | C2×C3⋊D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 369 | C2×C3×D3 | — | 2 | 2 | no | — |
| 370 | C2×C3×D3 | — | 5 | 1 | no | — |
| 371 | C2×C3×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 372 | C2×C3×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 373 | C2×C3×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 374 | D32 | — | 2 | 2 | no | — |
| 375 | D32 | — | 10 | 2 | no | — |
| 376 | C32×C4 | — | 5 | 1 | no | — |
| 377 | C32×C4 | — | 5 | 1 | no | — |
| 378 | C3⋊Dic3 | — | 5 | 1 | no | — |
| 379 | C3⋊Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 380 | C3×Dic3 | — | 5 | 1 | no | — |
| 381 | C3×Dic3 | — | 5 | 1 | no | — |
| 382 | C3×Dic3 | — | 5 | 1 | no | — |
| 383 | C3×Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 384 | C2×#41 | — | 45 | 1 | no | Sylow |
| 385 | C2×C3×C5 | — | 2 | 1 | no | — |
| 386 | C2×C3×C5 | — | 2 | 1 | no | — |
| 387 | C2×C3×C5 | — | 2 | 1 | no | — |
| 388 | C2×C3×C5 | — | 3 | 2 | no | — |
| 389 | C2×C3×C5 | — | 4 | 1 | no | — |
| 390 | C2×C3×C5 | — | 6 | 1 | no | — |
| 391 | C2×C3×C5 | — | 6 | 1 | no | — |
| 392 | C2×C3×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 393 | C2×C3×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 394 | D15 | — | 2 | 1 | no | — |
| 395 | D15 | — | 6 | 1 | no | — |
| 396 | D15 | — | 6 | 1 | no | — |
| 397 | D15 | — | 12 | 1 | no | — |
| 398 | C3×D5 | — | 6 | 1 | no | — |
| 399 | C5×D3 | — | 2 | 1 | no | — |
| 400 | C5×D3 | — | 2 | 1 | no | — |
| 401 | C5×D3 | — | 6 | 1 | no | — |
| 402 | C5×D3 | — | 6 | 1 | no | — |
| 403 | C5×D3 | — | 12 | 1 | no | — |
| 404 | C5×D3 | #235 | 1 | 2 | yes | complemented |
| 405 | C23×C3 | — | 3 | 1 | no | — |
| 406 | C22×D3 | — | 3 | 1 | no | — |
| 407 | C22×D3 | — | 3 | 1 | no | — |
| 408 | C22×D3 | — | 15 | 1 | no | — |
| 409 | C22×D3 | — | 15 | 1 | no | — |
| 410 | C22×D3 | D3×D5 | 1 | 1 | yes | characteristic |
| 411 | C3×Q8 | — | 15 | 1 | no | — |
| 412 | C3×D4 | — | 3 | 1 | no | — |
| 413 | C3×D4 | — | 15 | 1 | no | — |
| 414 | C3×D4 | — | 15 | 1 | no | — |
| 415 | C2×C3×C4 | — | 5 | 1 | no | — |
| 416 | C2×C3×C4 | — | 5 | 1 | no | — |
| 417 | C2×C3×C4 | — | 10 | 1 | no | — |
| 418 | C2×C3×C4 | — | 15 | 1 | no | — |
| 419 | C2×C3×C4 | — | 15 | 1 | no | — |
| 420 | C2×C3×C4 | — | 15 | 1 | no | — |
| 421 | C2×C3×C4 | — | 15 | 1 | no | — |
| 422 | C2×C3×C4 | — | 15 | 1 | no | — |
| 423 | C2×C3×C4 | — | 15 | 1 | no | — |
| 424 | C2×C3×C4 | — | 15 | 1 | no | — |
| 425 | #67 | — | 3 | 1 | no | — |
| 426 | #67 | — | 3 | 1 | no | — |
| 427 | #67 | — | 3 | 1 | no | — |
| 428 | #67 | — | 3 | 1 | no | — |
| 429 | #67 | — | 3 | 1 | no | — |
| 430 | #67 | — | 5 | 1 | no | — |
| 431 | #67 | — | 6 | 1 | no | — |
| 432 | #67 | — | 15 | 1 | no | — |
| 433 | #67 | — | 15 | 1 | no | — |
| 434 | #67 | — | 15 | 1 | no | — |
| 435 | #67 | — | 15 | 1 | no | — |
| 436 | #67 | — | 15 | 1 | no | — |
| 437 | #67 | — | 15 | 1 | no | — |
| 438 | #67 | — | 15 | 1 | no | — |
| 439 | #67 | — | 30 | 1 | no | — |
| 440 | #67 | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 441 | C2×Dic3 | — | 3 | 1 | no | — |
| 442 | C2×Dic3 | — | 5 | 1 | no | — |
| 443 | C2×Dic3 | — | 15 | 1 | no | — |
| 444 | C2×Dic3 | — | 15 | 1 | no | — |
| 445 | C2×Dic3 | — | 15 | 1 | no | — |
| 446 | D12 | — | 3 | 1 | no | — |
| 447 | D12 | — | 5 | 1 | no | — |
| 448 | D12 | — | 15 | 1 | no | — |
| 449 | D12 | — | 15 | 1 | no | — |
| 450 | D12 | — | 15 | 1 | no | — |
| 451 | D12 | — | 15 | 1 | no | — |
| 452 | D12 | — | 15 | 1 | no | — |
| 453 | D12 | — | 30 | 1 | no | — |
| 454 | C4×D3 | — | 3 | 1 | no | — |
| 455 | C4×D3 | — | 5 | 1 | no | — |
| 456 | C4×D3 | — | 5 | 1 | no | — |
| 457 | C4×D3 | — | 5 | 1 | no | — |
| 458 | C4×D3 | — | 5 | 1 | no | — |
| 459 | C4×D3 | — | 5 | 1 | no | — |
| 460 | C4×D3 | — | 5 | 1 | no | — |
| 461 | C4×D3 | — | 15 | 1 | no | — |
| 462 | C4×D3 | — | 15 | 1 | no | — |
| 463 | C4×D3 | — | 15 | 1 | no | — |
| 464 | C4×D3 | — | 15 | 1 | no | — |
| 465 | C4×D3 | — | 15 | 1 | no | — |
| 466 | C4×D3 | — | 15 | 1 | no | — |
| 467 | C4×D3 | — | 15 | 1 | no | — |
| 468 | C4×D3 | — | 15 | 1 | no | — |
| 469 | C4×D3 | — | 15 | 1 | no | — |
| 470 | C4×D3 | — | 15 | 1 | no | — |
| 471 | C4×D3 | — | 15 | 1 | no | — |
| 472 | C4×D3 | — | 30 | 1 | no | — |
| 473 | C4×D3 | — | 30 | 1 | no | — |
| 474 | Dic6 | — | 5 | 1 | no | — |
| 475 | Dic6 | — | 15 | 1 | no | — |
| 476 | Dic6 | — | 15 | 1 | no | — |
| 477 | Dic6 | — | 15 | 1 | no | — |
| 478 | Dic6 | — | 15 | 1 | no | — |
| 479 | Dic6 | — | 15 | 1 | no | — |
| 480 | Dic6 | — | 15 | 1 | no | — |
| 481 | Dic6 | — | 30 | 1 | no | — |
| 482 | C22×C5 | — | 3 | 1 | no | — |
| 483 | C22×C5 | — | 3 | 1 | no | — |
| 484 | C22×C5 | — | 3 | 1 | no | — |
| 485 | C22×C5 | — | 6 | 2 | no | — |
| 486 | C22×C5 | — | 9 | 1 | no | — |
| 487 | C22×C5 | — | 18 | 2 | no | — |
| 488 | C22×C5 | C2×D32 | 1 | 1 | yes | characteristic |
| 489 | C2×D5 | — | 3 | 1 | no | — |
| 490 | C2×D5 | — | 9 | 1 | no | — |
| 491 | C2×D5 | — | 18 | 2 | no | — |
| 492 | C4×C5 | — | 3 | 1 | no | — |
| 493 | C4×C5 | — | 9 | 1 | no | — |
| 494 | Dic5 | — | 3 | 1 | no | — |
| 495 | Dic5 | — | 3 | 1 | no | — |
| 496 | Dic5 | — | 3 | 1 | no | — |
| 497 | Dic5 | — | 9 | 1 | no | — |
| 498 | Dic5 | C2×D32 | 1 | 1 | yes | characteristic |
| 499 | Dic5 | C2×D32 | 1 | 1 | yes | characteristic |
| 500 | C2×C32 | — | 2 | 1 | no | — |
| 501 | C2×C32 | C23×D5 | 1 | 1 | yes | characteristic |
| 502 | C3⋊D3 | — | 2 | 1 | no | — |
| 503 | C3⋊D3 | — | 10 | 1 | no | — |
| 504 | C3×D3 | — | 2 | 1 | no | — |
| 505 | C3×D3 | — | 2 | 1 | no | — |
| 506 | C3×D3 | — | 10 | 1 | no | — |
| 507 | C3×D3 | #711 | 1 | 2 | yes | complemented |
| 508 | #41 | — | 15 | 1 | no | — |
| 509 | #41 | — | 45 | 1 | no | — |
| 510 | #41 | — | 45 | 1 | no | — |
| 511 | #41 | — | 45 | 1 | no | — |
| 512 | #41 | — | 45 | 1 | no | — |
| 513 | #41 | — | 45 | 1 | no | — |
| 514 | #41 | — | 45 | 1 | no | — |
| 515 | #41 | — | 45 | 1 | no | — |
| 516 | C2×Q8 | — | 45 | 1 | no | — |
| 517 | C2×D4 | — | 9 | 1 | no | — |
| 518 | C2×D4 | — | 45 | 1 | no | — |
| 519 | C2×D4 | — | 45 | 1 | no | — |
| 520 | C22×C4 | — | 15 | 1 | no | — |
| 521 | C22×C4 | — | 45 | 1 | no | — |
| 522 | C22×C4 | — | 45 | 1 | no | — |
| 523 | C3×C5 | — | 2 | 1 | no | — |
| 524 | C3×C5 | C2×#235 | 1 | 1 | yes | characteristic, complemented |
| 525 | C3×C5 | D3×#41 | 1 | 1 | yes | characteristic, complemented |
| 526 | C22×C3 | — | 2 | 1 | no | — |
| 527 | C22×C3 | — | 3 | 1 | no | — |
| 528 | C22×C3 | — | 3 | 1 | no | — |
| 529 | C22×C3 | — | 3 | 1 | no | — |
| 530 | C22×C3 | — | 6 | 2 | no | — |
| 531 | C22×C3 | — | 15 | 1 | no | — |
| 532 | C22×C3 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 533 | C22×C3 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 534 | C2×D3 | — | 2 | 2 | no | — |
| 535 | C2×D3 | — | 3 | 1 | no | — |
| 536 | C2×D3 | — | 3 | 1 | no | — |
| 537 | C2×D3 | — | 5 | 1 | no | — |
| 538 | C2×D3 | — | 6 | 1 | no | — |
| 539 | C2×D3 | — | 6 | 2 | no | — |
| 540 | C2×D3 | — | 6 | 2 | no | — |
| 541 | C2×D3 | — | 15 | 1 | no | — |
| 542 | C2×D3 | — | 15 | 1 | no | — |
| 543 | C2×D3 | — | 30 | 1 | no | — |
| 544 | C2×D3 | — | 30 | 2 | no | — |
| 545 | C2×D3 | — | 30 | 2 | no | — |
| 546 | C2×D3 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 547 | C2×D3 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 548 | C2×D3 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 549 | C3×C4 | — | 3 | 1 | no | — |
| 550 | C3×C4 | — | 5 | 1 | no | — |
| 551 | C3×C4 | — | 5 | 1 | no | — |
| 552 | C3×C4 | — | 5 | 1 | no | — |
| 553 | C3×C4 | — | 5 | 1 | no | — |
| 554 | C3×C4 | — | 10 | 1 | no | — |
| 555 | C3×C4 | — | 10 | 1 | no | — |
| 556 | C3×C4 | — | 15 | 1 | no | — |
| 557 | C3×C4 | — | 15 | 1 | no | — |
| 558 | C3×C4 | — | 15 | 1 | no | — |
| 559 | Dic3 | — | 3 | 1 | no | — |
| 560 | Dic3 | — | 3 | 1 | no | — |
| 561 | Dic3 | — | 5 | 1 | no | — |
| 562 | Dic3 | — | 5 | 1 | no | — |
| 563 | Dic3 | — | 5 | 1 | no | — |
| 564 | Dic3 | — | 6 | 1 | no | — |
| 565 | Dic3 | — | 15 | 1 | no | — |
| 566 | Dic3 | — | 15 | 1 | no | — |
| 567 | Dic3 | — | 30 | 1 | no | — |
| 568 | Dic3 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 569 | C2×C5 | — | 2 | 1 | no | — |
| 570 | C2×C5 | — | 3 | 2 | no | — |
| 571 | C2×C5 | — | 6 | 1 | no | — |
| 572 | C2×C5 | — | 6 | 1 | no | — |
| 573 | C2×C5 | — | 18 | 1 | no | — |
| 574 | C2×C5 | C22×D32 | 1 | 1 | yes | characteristic |
| 575 | D5 | — | 6 | 1 | no | — |
| 576 | D5 | — | 18 | 1 | no | — |
| 577 | C32 | C2×#711 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 578 | C23 | — | 3 | 1 | no | — |
| 579 | C23 | — | 9 | 1 | no | — |
| 580 | C23 | — | 45 | 1 | no | — |
| 581 | Q8 | — | 15 | 1 | no | — |
| 582 | Q8 | — | 45 | 1 | no | — |
| 583 | Q8 | — | 45 | 1 | no | — |
| 584 | Q8 | — | 45 | 1 | no | — |
| 585 | D4 | — | 3 | 1 | no | — |
| 586 | D4 | — | 9 | 1 | no | — |
| 587 | D4 | — | 9 | 1 | no | — |
| 588 | D4 | — | 9 | 1 | no | — |
| 589 | D4 | — | 15 | 1 | no | — |
| 590 | D4 | — | 15 | 1 | no | — |
| 591 | D4 | — | 45 | 1 | no | — |
| 592 | D4 | — | 45 | 1 | no | — |
| 593 | D4 | — | 45 | 1 | no | — |
| 594 | D4 | — | 45 | 1 | no | — |
| 595 | D4 | — | 45 | 1 | no | — |
| 596 | D4 | — | 45 | 1 | no | — |
| 597 | C2×C4 | — | 5 | 1 | no | — |
| 598 | C2×C4 | — | 9 | 1 | no | — |
| 599 | C2×C4 | — | 15 | 1 | no | — |
| 600 | C2×C4 | — | 15 | 1 | no | — |
| 601 | C2×C4 | — | 15 | 1 | no | — |
| 602 | C2×C4 | — | 15 | 1 | no | — |
| 603 | C2×C4 | — | 15 | 1 | no | — |
| 604 | C2×C4 | — | 15 | 1 | no | — |
| 605 | C2×C4 | — | 15 | 1 | no | — |
| 606 | C2×C4 | — | 45 | 1 | no | — |
| 607 | C2×C4 | — | 45 | 1 | no | — |
| 608 | C2×C4 | — | 45 | 1 | no | — |
| 609 | C2×C4 | — | 45 | 1 | no | — |
| 610 | C2×C4 | — | 45 | 1 | no | — |
| 611 | C2×C4 | — | 45 | 1 | no | — |
| 612 | C2×C4 | — | 45 | 1 | no | — |
| 613 | C2×C3 | — | 2 | 1 | no | — |
| 614 | C2×C3 | — | 2 | 1 | no | — |
| 615 | C2×C3 | — | 2 | 1 | no | — |
| 616 | C2×C3 | — | 3 | 2 | no | — |
| 617 | C2×C3 | — | 4 | 1 | no | — |
| 618 | C2×C3 | — | 6 | 1 | no | — |
| 619 | C2×C3 | — | 6 | 1 | no | — |
| 620 | C2×C3 | — | 30 | 1 | no | — |
| 621 | C2×C3 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 622 | C2×C3 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 623 | D3 | — | 2 | 1 | no | — |
| 624 | D3 | — | 2 | 1 | no | — |
| 625 | D3 | — | 6 | 1 | no | — |
| 626 | D3 | — | 6 | 1 | no | — |
| 627 | D3 | — | 10 | 1 | no | — |
| 628 | D3 | — | 12 | 1 | no | — |
| 629 | D3 | — | 30 | 1 | no | — |
| 630 | D3 | — | 30 | 1 | no | — |
| 631 | D3 | — | 60 | 1 | no | — |
| 632 | D3 | #6782 | 1 | 2 | yes | direct product factor |
| 633 | C5 | D3×#235 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 634 | C22 | — | 3 | 1 | no | — |
| 635 | C22 | — | 3 | 1 | no | — |
| 636 | C22 | — | 3 | 1 | no | — |
| 637 | C22 | — | 6 | 2 | no | — |
| 638 | C22 | — | 9 | 1 | no | — |
| 639 | C22 | — | 15 | 1 | no | — |
| 640 | C22 | — | 18 | 2 | no | — |
| 641 | C22 | — | 45 | 1 | no | — |
| 642 | C22 | — | 90 | 2 | no | — |
| 643 | C22 | D32×D5 | 1 | 1 | yes | characteristic |
| 644 | C4 | — | 3 | 1 | no | — |
| 645 | C4 | — | 5 | 1 | no | — |
| 646 | C4 | — | 5 | 1 | no | — |
| 647 | C4 | — | 9 | 1 | no | — |
| 648 | C4 | — | 15 | 1 | no | — |
| 649 | C4 | — | 15 | 1 | no | — |
| 650 | C4 | — | 15 | 1 | no | — |
| 651 | C4 | — | 45 | 1 | no | — |
| 652 | C3 | — | 2 | 1 | no | — |
| 653 | C3 | D3×#711 | 1 | 1 | yes | characteristic, complemented |
| 654 | C3 | C2×#6782 | 1 | 1 | yes | characteristic, complemented |
| 655 | C2 | — | 2 | 1 | no | — |
| 656 | C2 | — | 3 | 2 | no | — |
| 657 | C2 | — | 6 | 1 | no | — |
| 658 | C2 | — | 6 | 1 | no | — |
| 659 | C2 | — | 18 | 1 | no | — |
| 660 | C2 | — | 30 | 1 | no | — |
| 661 | C2 | — | 90 | 1 | no | — |
| 662 | C2 | C2×D32×D5 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta