| 1 | C5×Q8×C3⋊D3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×C5×#239 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×C5×D3×Q8 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×#3798 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | C5×#3796 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | C5×#3795 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | C5×D3×Dic6 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | C5×#1010 | — | 3 | 1 | no | maximal |
| 9 | C5×#1007 | — | 3 | 1 | no | maximal |
| 10 | C32×C5×Q8 | C22 | 1 | 1 | yes | characteristic |
| 11 | C4×C5×C3⋊D3 | C22 | 1 | 3 | yes | — |
| 12 | C5×#634 | C22 | 1 | 3 | yes | — |
| 13 | C3×C5×D12 | C22 | 1 | 3 | yes | — |
| 14 | C3×C4×C5×D3 | C22 | 1 | 3 | yes | — |
| 15 | C3×C4×C5×D3 | C22 | 1 | 3 | yes | — |
| 16 | C3×C5×Dic6 | C22 | 1 | 3 | yes | — |
| 17 | C5×#627 | C22 | 1 | 3 | yes | — |
| 18 | C5×#626 | C22 | 1 | 3 | yes | — |
| 19 | C5×#626 | C22 | 1 | 1 | yes | characteristic |
| 20 | C5×#625 | C22 | 1 | 3 | yes | — |
| 21 | C5×D3×Dic3 | C22 | 1 | 6 | yes | — |
| 22 | #64315 | C5 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 23 | C3×C5×#41 | — | 3 | 1 | no | — |
| 24 | C2×C3×C5×Q8 | — | 3 | 1 | no | — |
| 25 | C5×#239 | — | 3 | 3 | no | — |
| 26 | C5×#239 | D3 | 1 | 1 | yes | characteristic, complemented |
| 27 | C5×D3×Q8 | — | 3 | 1 | no | — |
| 28 | C5×D3×Q8 | — | 3 | 1 | no | — |
| 29 | C5×D3×Q8 | — | 3 | 3 | no | — |
| 30 | C5×D3×Q8 | — | 6 | 1 | no | — |
| 31 | C5×D3×Q8 | D3 | 1 | 1 | yes | characteristic, complemented |
| 32 | C5×#237 | — | 3 | 3 | no | — |
| 33 | C5×#237 | — | 3 | 3 | no | — |
| 34 | C5×#235 | — | 3 | 3 | no | — |
| 35 | C5×#235 | — | 3 | 3 | no | — |
| 36 | C5×#235 | — | 3 | 3 | no | — |
| 37 | C2×C5×Dic6 | — | 3 | 3 | no | — |
| 38 | C2×C5×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 39 | C2×C3×C5×D3 | C23 | 1 | 3 | yes | — |
| 40 | C2×C3×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 41 | C32×C4×C5 | C23 | 1 | 3 | yes | — |
| 42 | C5×C3⋊Dic3 | C23 | 1 | 3 | yes | — |
| 43 | C3×C5×Dic3 | C23 | 1 | 3 | yes | — |
| 44 | C3×C5×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 45 | C5×2−1+4 | — | 9 | 1 | no | Hall |
| 46 | Q8×C3⋊D3 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 47 | C3×#239 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 48 | C3×D3×Q8 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 49 | #3798 | C2×C5 | 1 | 3 | yes | complemented |
| 50 | #3796 | C2×C5 | 1 | 3 | yes | complemented |
| 51 | #3795 | C2×C5 | 1 | 3 | yes | complemented |
| 52 | D3×Dic6 | C2×C5 | 1 | 3 | yes | complemented |
| 53 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 54 | C3×C5×Q8 | — | 3 | 3 | no | — |
| 55 | C3×C5×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 56 | C3×C5×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 57 | C3×C5×D4 | — | 3 | 3 | no | — |
| 58 | C2×C3×C4×C5 | — | 3 | 3 | no | — |
| 59 | C2×C3×C4×C5 | — | 3 | 3 | no | — |
| 60 | C5×#67 | — | 3 | 3 | no | — |
| 61 | C5×#67 | — | 3 | 3 | no | — |
| 62 | C5×#67 | — | 3 | 1 | no | — |
| 63 | C5×#67 | — | 3 | 3 | no | — |
| 64 | C2×C5×Dic3 | — | 3 | 6 | no | — |
| 65 | C5×D12 | — | 3 | 1 | no | — |
| 66 | C5×D12 | — | 3 | 3 | no | — |
| 67 | C5×D12 | C2×D3 | 1 | 3 | yes | — |
| 68 | C4×C5×D3 | — | 3 | 6 | no | — |
| 69 | C4×C5×D3 | — | 3 | 3 | no | — |
| 70 | C4×C5×D3 | — | 3 | 3 | no | — |
| 71 | C4×C5×D3 | — | 6 | 3 | no | — |
| 72 | C4×C5×D3 | C2×D3 | 1 | 3 | yes | — |
| 73 | C4×C5×D3 | C2×D3 | 1 | 3 | yes | — |
| 74 | C5×Dic6 | — | 3 | 3 | no | — |
| 75 | C5×Dic6 | — | 3 | 3 | no | — |
| 76 | C5×Dic6 | — | 3 | 3 | no | — |
| 77 | C5×Dic6 | — | 3 | 3 | no | — |
| 78 | C5×Dic6 | — | 6 | 3 | no | — |
| 79 | C5×Dic6 | C2×D3 | 1 | 3 | yes | — |
| 80 | #1010 | — | 3 | 1 | no | — |
| 81 | #1007 | — | 3 | 1 | no | — |
| 82 | C2×C32×C5 | C24 | 1 | 1 | yes | characteristic |
| 83 | C5×C3⋊D3 | — | 2 | 1 | no | — |
| 84 | C3×C5×D3 | — | 2 | 1 | no | — |
| 85 | C3×C5×D3 | — | 2 | 3 | no | — |
| 86 | C5×#41 | — | 3 | 1 | no | — |
| 87 | C5×#41 | — | 9 | 3 | no | — |
| 88 | C5×#41 | — | 9 | 3 | no | — |
| 89 | C5×#41 | — | 9 | 3 | no | — |
| 90 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 91 | C2×C5×Q8 | — | 9 | 3 | no | — |
| 92 | C2×C5×Q8 | — | 9 | 1 | no | — |
| 93 | C32×Q8 | C22×C5 | 1 | 1 | yes | characteristic |
| 94 | C4×C3⋊D3 | C22×C5 | 1 | 3 | yes | — |
| 95 | #634 | C22×C5 | 1 | 3 | yes | — |
| 96 | C3×D12 | C22×C5 | 1 | 3 | yes | — |
| 97 | C3×C4×D3 | C22×C5 | 1 | 3 | yes | — |
| 98 | C3×C4×D3 | C22×C5 | 1 | 3 | yes | — |
| 99 | C3×Dic6 | C22×C5 | 1 | 3 | yes | — |
| 100 | #627 | C22×C5 | 1 | 3 | yes | — |
| 101 | #626 | C22×C5 | 1 | 3 | yes | — |
| 102 | #626 | C22×C5 | 1 | 1 | yes | characteristic |
| 103 | #625 | C22×C5 | 1 | 3 | yes | — |
| 104 | D3×Dic3 | C22×C5 | 1 | 6 | yes | — |
| 105 | C22×C3×C5 | — | 3 | 3 | no | — |
| 106 | C22×C3×C5 | — | 3 | 1 | no | — |
| 107 | C2×C5×D3 | — | 3 | 1 | no | — |
| 108 | C2×C5×D3 | — | 3 | 1 | no | — |
| 109 | C2×C5×D3 | — | 6 | 1 | no | — |
| 110 | C2×C5×D3 | C22×D3 | 1 | 3 | yes | — |
| 111 | C2×C5×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 112 | C3×C4×C5 | — | 2 | 3 | no | — |
| 113 | C3×C4×C5 | — | 3 | 1 | no | — |
| 114 | C3×C4×C5 | — | 3 | 3 | no | — |
| 115 | C3×C4×C5 | C22×D3 | 1 | 3 | yes | — |
| 116 | C3×C4×C5 | C22×D3 | 1 | 3 | yes | — |
| 117 | C5×Dic3 | — | 3 | 3 | no | — |
| 118 | C5×Dic3 | — | 3 | 3 | no | — |
| 119 | C5×Dic3 | — | 6 | 3 | no | — |
| 120 | C5×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 121 | C5×Dic3 | C22×D3 | 1 | 3 | yes | — |
| 122 | C3×#41 | — | 3 | 1 | no | — |
| 123 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 124 | #239 | — | 3 | 3 | no | — |
| 125 | #239 | C5×D3 | 1 | 1 | yes | characteristic, complemented |
| 126 | D3×Q8 | — | 3 | 1 | no | — |
| 127 | D3×Q8 | — | 3 | 1 | no | — |
| 128 | D3×Q8 | — | 3 | 3 | no | — |
| 129 | D3×Q8 | — | 6 | 1 | no | — |
| 130 | D3×Q8 | C5×D3 | 1 | 1 | yes | characteristic, complemented |
| 131 | #237 | — | 3 | 3 | no | — |
| 132 | #237 | — | 3 | 3 | no | — |
| 133 | #235 | — | 3 | 3 | no | — |
| 134 | #235 | — | 3 | 3 | no | — |
| 135 | #235 | — | 3 | 3 | no | — |
| 136 | C2×Dic6 | — | 3 | 3 | no | — |
| 137 | C32×C5 | 2−1+4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 138 | C5×Q8 | — | 3 | 3 | no | — |
| 139 | C5×Q8 | — | 9 | 3 | no | — |
| 140 | C5×Q8 | — | 9 | 3 | no | — |
| 141 | C5×Q8 | D32 | 1 | 1 | yes | characteristic |
| 142 | C5×D4 | — | 3 | 3 | no | — |
| 143 | C5×D4 | — | 9 | 1 | no | — |
| 144 | C5×D4 | — | 9 | 3 | no | — |
| 145 | C5×D4 | — | 9 | 3 | no | — |
| 146 | C2×C4×C5 | — | 3 | 3 | no | — |
| 147 | C2×C4×C5 | — | 3 | 3 | no | — |
| 148 | C2×C4×C5 | — | 9 | 6 | no | — |
| 149 | C2×C4×C5 | — | 9 | 3 | no | — |
| 150 | C2×C3⋊D3 | C23×C5 | 1 | 1 | yes | characteristic |
| 151 | C2×C3×D3 | C23×C5 | 1 | 3 | yes | — |
| 152 | C2×C3×D3 | C23×C5 | 1 | 1 | yes | characteristic |
| 153 | C32×C4 | C23×C5 | 1 | 3 | yes | — |
| 154 | C3⋊Dic3 | C23×C5 | 1 | 3 | yes | — |
| 155 | C3×Dic3 | C23×C5 | 1 | 3 | yes | — |
| 156 | C3×Dic3 | C23×C5 | 1 | 1 | yes | characteristic |
| 157 | 2−1+4 | — | 9 | 1 | no | Sylow |
| 158 | C2×C3×C5 | — | 2 | 1 | no | — |
| 159 | C2×C3×C5 | — | 6 | 3 | no | — |
| 160 | C2×C3×C5 | — | 6 | 1 | no | — |
| 161 | C2×C3×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 162 | C2×C3×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 163 | C5×D3 | — | 2 | 1 | no | — |
| 164 | C5×D3 | — | 2 | 3 | no | — |
| 165 | C5×D3 | — | 6 | 2 | no | — |
| 166 | C5×D3 | — | 6 | 1 | no | — |
| 167 | C5×D3 | — | 6 | 1 | no | — |
| 168 | C3×Q8 | — | 2 | 1 | no | — |
| 169 | C3×Q8 | — | 3 | 3 | no | — |
| 170 | C3×Q8 | C2×C5×D3 | 1 | 1 | yes | characteristic |
| 171 | C3×Q8 | C2×C5×D3 | 1 | 1 | yes | characteristic |
| 172 | C3×D4 | — | 3 | 3 | no | — |
| 173 | C2×C3×C4 | — | 3 | 3 | no | — |
| 174 | C2×C3×C4 | — | 3 | 3 | no | — |
| 175 | #67 | — | 3 | 3 | no | — |
| 176 | #67 | — | 3 | 3 | no | — |
| 177 | #67 | — | 3 | 1 | no | — |
| 178 | #67 | — | 3 | 3 | no | — |
| 179 | C2×Dic3 | — | 3 | 6 | no | — |
| 180 | D12 | — | 3 | 1 | no | — |
| 181 | D12 | — | 3 | 3 | no | — |
| 182 | D12 | C2×C5×D3 | 1 | 3 | yes | — |
| 183 | C4×D3 | — | 3 | 6 | no | — |
| 184 | C4×D3 | — | 3 | 3 | no | — |
| 185 | C4×D3 | — | 3 | 3 | no | — |
| 186 | C4×D3 | — | 6 | 3 | no | — |
| 187 | C4×D3 | C2×C5×D3 | 1 | 3 | yes | — |
| 188 | C4×D3 | C2×C5×D3 | 1 | 3 | yes | — |
| 189 | Dic6 | — | 3 | 3 | no | — |
| 190 | Dic6 | — | 3 | 3 | no | — |
| 191 | Dic6 | — | 3 | 3 | no | — |
| 192 | Dic6 | — | 3 | 3 | no | — |
| 193 | Dic6 | — | 6 | 3 | no | — |
| 194 | Dic6 | C2×C5×D3 | 1 | 3 | yes | — |
| 195 | C22×C5 | — | 3 | 1 | no | — |
| 196 | C22×C5 | — | 3 | 3 | no | — |
| 197 | C22×C5 | — | 9 | 1 | no | — |
| 198 | C4×C5 | — | 3 | 1 | no | — |
| 199 | C4×C5 | — | 3 | 3 | no | — |
| 200 | C4×C5 | — | 9 | 3 | no | — |
| 201 | C4×C5 | C2×D32 | 1 | 3 | yes | — |
| 202 | C2×C32 | C24×C5 | 1 | 1 | yes | characteristic |
| 203 | C3⋊D3 | — | 2 | 1 | no | — |
| 204 | C3×D3 | — | 2 | 1 | no | — |
| 205 | C3×D3 | — | 2 | 3 | no | — |
| 206 | #41 | — | 3 | 1 | no | — |
| 207 | #41 | — | 9 | 3 | no | — |
| 208 | #41 | — | 9 | 3 | no | — |
| 209 | #41 | — | 9 | 3 | no | — |
| 210 | C2×Q8 | — | 3 | 1 | no | — |
| 211 | C2×Q8 | — | 9 | 3 | no | — |
| 212 | C2×Q8 | — | 9 | 1 | no | — |
| 213 | C3×C5 | — | 2 | 1 | no | — |
| 214 | C3×C5 | #1007 | 1 | 1 | yes | characteristic, complemented |
| 215 | C3×C5 | #1010 | 1 | 1 | yes | characteristic, complemented |
| 216 | C22×C3 | — | 3 | 3 | no | — |
| 217 | C22×C3 | — | 3 | 1 | no | — |
| 218 | C2×D3 | — | 3 | 1 | no | — |
| 219 | C2×D3 | — | 3 | 1 | no | — |
| 220 | C2×D3 | — | 6 | 1 | no | — |
| 221 | C2×D3 | C22×C5×D3 | 1 | 3 | yes | — |
| 222 | C2×D3 | C22×C5×D3 | 1 | 1 | yes | characteristic |
| 223 | C3×C4 | — | 2 | 3 | no | — |
| 224 | C3×C4 | — | 3 | 1 | no | — |
| 225 | C3×C4 | — | 3 | 3 | no | — |
| 226 | C3×C4 | C22×C5×D3 | 1 | 3 | yes | — |
| 227 | C3×C4 | C22×C5×D3 | 1 | 3 | yes | — |
| 228 | Dic3 | — | 3 | 3 | no | — |
| 229 | Dic3 | — | 3 | 3 | no | — |
| 230 | Dic3 | — | 6 | 3 | no | — |
| 231 | Dic3 | C22×C5×D3 | 1 | 1 | yes | characteristic |
| 232 | Dic3 | C22×C5×D3 | 1 | 3 | yes | — |
| 233 | C2×C5 | — | 6 | 1 | no | — |
| 234 | C2×C5 | — | 6 | 3 | no | — |
| 235 | C2×C5 | — | 18 | 1 | no | — |
| 236 | C2×C5 | C22×D32 | 1 | 1 | yes | characteristic |
| 237 | C32 | C5×2−1+4 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 238 | Q8 | — | 3 | 3 | no | — |
| 239 | Q8 | — | 9 | 3 | no | — |
| 240 | Q8 | — | 9 | 3 | no | — |
| 241 | Q8 | C5×D32 | 1 | 1 | yes | characteristic |
| 242 | D4 | — | 3 | 3 | no | — |
| 243 | D4 | — | 9 | 1 | no | — |
| 244 | D4 | — | 9 | 3 | no | — |
| 245 | D4 | — | 9 | 3 | no | — |
| 246 | C2×C4 | — | 3 | 3 | no | — |
| 247 | C2×C4 | — | 3 | 3 | no | — |
| 248 | C2×C4 | — | 9 | 6 | no | — |
| 249 | C2×C4 | — | 9 | 3 | no | — |
| 250 | C2×C3 | — | 2 | 1 | no | — |
| 251 | C2×C3 | — | 6 | 3 | no | — |
| 252 | C2×C3 | — | 6 | 1 | no | — |
| 253 | C2×C3 | C23×C5×D3 | 1 | 1 | yes | characteristic |
| 254 | C2×C3 | C23×C5×D3 | 1 | 1 | yes | characteristic |
| 255 | D3 | — | 2 | 1 | no | — |
| 256 | D3 | — | 2 | 3 | no | — |
| 257 | D3 | — | 6 | 2 | no | — |
| 258 | D3 | — | 6 | 1 | no | — |
| 259 | D3 | — | 6 | 1 | no | — |
| 260 | C5 | #64315 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 261 | C22 | — | 3 | 1 | no | — |
| 262 | C22 | — | 3 | 3 | no | — |
| 263 | C22 | — | 9 | 1 | no | — |
| 264 | C4 | — | 3 | 1 | no | — |
| 265 | C4 | — | 3 | 3 | no | — |
| 266 | C4 | — | 9 | 3 | no | — |
| 267 | C4 | C2×C5×D32 | 1 | 3 | yes | — |
| 268 | C3 | — | 2 | 1 | no | — |
| 269 | C3 | C5×#1007 | 1 | 1 | yes | characteristic, complemented |
| 270 | C3 | C5×#1010 | 1 | 1 | yes | characteristic, complemented |
| 271 | C2 | — | 6 | 1 | no | — |
| 272 | C2 | — | 6 | 3 | no | — |
| 273 | C2 | — | 18 | 1 | no | — |
| 274 | C2 | C22×C5×D32 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta