| 1 | C2×#67180 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#6817 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×C5×#235 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10624208 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #10624200 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | D3×Dic30 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10624193 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | Dic6×D15 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #92101 | — | 3 | 1 | no | maximal |
| 10 | #92001 | — | 3 | 1 | no | maximal |
| 11 | C2×C32×C4×C5 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×C3⋊Dic15 | C22 | 1 | 2 | yes | — |
| 13 | #67180 | C22 | 1 | 2 | yes | — |
| 14 | #67180 | C22 | 1 | 2 | yes | — |
| 15 | C3×#1220 | C22 | 1 | 2 | yes | — |
| 16 | C3×D60 | C22 | 1 | 1 | yes | characteristic |
| 17 | C3×C4×D15 | C22 | 1 | 2 | yes | — |
| 18 | C3×Dic30 | C22 | 1 | 1 | yes | characteristic |
| 19 | C3×C5×#67 | C22 | 1 | 2 | yes | — |
| 20 | C3×C5×D12 | C22 | 1 | 1 | yes | characteristic |
| 21 | C3×C4×C5×D3 | C22 | 1 | 2 | yes | — |
| 22 | C3×C5×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 23 | #67153 | C22 | 1 | 4 | yes | — |
| 24 | #67150 | C22 | 1 | 4 | yes | — |
| 25 | D3×Dic15 | C22 | 1 | 4 | yes | — |
| 26 | Dic3×D15 | C22 | 1 | 4 | yes | — |
| 27 | #64298 | — | 5 | 1 | no | maximal, Hall |
| 28 | C3×C5×#41 | — | 3 | 1 | no | — |
| 29 | Q8×D15 | — | 3 | 2 | no | — |
| 30 | #6819 | — | 3 | 4 | no | — |
| 31 | #6819 | — | 3 | 2 | no | — |
| 32 | #6817 | — | 3 | 2 | no | — |
| 33 | #6817 | D3 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×Dic30 | — | 3 | 1 | no | — |
| 35 | C2×Dic30 | — | 3 | 1 | no | — |
| 36 | C2×Dic30 | — | 3 | 2 | no | — |
| 37 | C2×Dic30 | — | 6 | 1 | no | — |
| 38 | C5×#235 | D3 | 1 | 1 | yes | characteristic, complemented |
| 39 | C3×#709 | — | 3 | 1 | no | — |
| 40 | #6780 | — | 3 | 4 | no | — |
| 41 | #6772 | — | 3 | 2 | no | — |
| 42 | D3×Dic10 | — | 3 | 2 | no | — |
| 43 | #6765 | — | 3 | 2 | no | — |
| 44 | D5×Dic6 | — | 3 | 2 | no | — |
| 45 | C22×C32×C5 | C23 | 1 | 1 | yes | characteristic |
| 46 | C2×C3×D15 | C23 | 1 | 2 | yes | — |
| 47 | C2×C3×C5×D3 | C23 | 1 | 2 | yes | — |
| 48 | C32×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 49 | C32×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 50 | C3⋊Dic15 | C23 | 1 | 4 | yes | — |
| 51 | C3×Dic15 | C23 | 1 | 2 | yes | — |
| 52 | C3×C5×Dic3 | C23 | 1 | 2 | yes | — |
| 53 | #4150 | — | 9 | 1 | no | Hall |
| 54 | C2×#634 | — | 5 | 1 | no | — |
| 55 | C3×#235 | — | 5 | 1 | no | — |
| 56 | C3×#235 | D5 | 1 | 1 | yes | characteristic, complemented |
| 57 | #3805 | — | 5 | 4 | no | — |
| 58 | #3795 | — | 5 | 2 | no | — |
| 59 | #3795 | — | 5 | 2 | no | — |
| 60 | D3×Dic6 | — | 5 | 2 | no | — |
| 61 | D3×Dic6 | — | 5 | 2 | no | — |
| 62 | C3×C5×Q8 | — | 3 | 1 | no | — |
| 63 | C3×C5×D4 | — | 3 | 2 | no | — |
| 64 | C3×C5×D4 | — | 3 | 1 | no | — |
| 65 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 66 | C2×C3×C4×C5 | — | 3 | 2 | no | — |
| 67 | C2×C3×C4×C5 | C2×D3 | 1 | 1 | yes | characteristic |
| 68 | C2×C3×C4×C5 | C2×D3 | 1 | 1 | yes | characteristic |
| 69 | #1220 | — | 3 | 4 | no | — |
| 70 | #1220 | C2×D3 | 1 | 2 | yes | — |
| 71 | C2×Dic15 | — | 3 | 2 | no | — |
| 72 | C2×Dic15 | — | 3 | 2 | no | — |
| 73 | C2×Dic15 | — | 3 | 4 | no | — |
| 74 | C2×Dic15 | — | 6 | 2 | no | — |
| 75 | D60 | C2×D3 | 1 | 1 | yes | characteristic |
| 76 | C4×D15 | — | 3 | 4 | no | — |
| 77 | C4×D15 | C2×D3 | 1 | 2 | yes | — |
| 78 | Dic30 | — | 3 | 2 | no | — |
| 79 | Dic30 | — | 3 | 2 | no | — |
| 80 | Dic30 | — | 3 | 2 | no | — |
| 81 | Dic30 | — | 3 | 2 | no | — |
| 82 | Dic30 | — | 3 | 4 | no | — |
| 83 | Dic30 | — | 6 | 2 | no | — |
| 84 | Dic30 | — | 6 | 2 | no | — |
| 85 | Dic30 | C2×D3 | 1 | 1 | yes | characteristic |
| 86 | C5×#67 | C2×D3 | 1 | 2 | yes | — |
| 87 | C5×D12 | C2×D3 | 1 | 1 | yes | characteristic |
| 88 | C4×C5×D3 | C2×D3 | 1 | 2 | yes | — |
| 89 | C5×Dic6 | C2×D3 | 1 | 1 | yes | characteristic |
| 90 | C3×C22⋊D5 | — | 3 | 2 | no | — |
| 91 | C3×D20 | — | 3 | 1 | no | — |
| 92 | C3×C4×D5 | — | 3 | 2 | no | — |
| 93 | C3×Dic10 | — | 3 | 1 | no | — |
| 94 | #1204 | — | 3 | 4 | no | — |
| 95 | #1201 | — | 3 | 4 | no | — |
| 96 | D3×Dic5 | — | 3 | 4 | no | — |
| 97 | D5×Dic3 | — | 3 | 4 | no | — |
| 98 | #1010 | — | 15 | 1 | no | — |
| 99 | #1010 | — | 15 | 1 | no | — |
| 100 | C2×C32×C5 | — | 2 | 1 | no | — |
| 101 | C2×C32×C5 | C24 | 1 | 1 | yes | characteristic |
| 102 | C3×D15 | — | 2 | 2 | no | — |
| 103 | C3×C5×D3 | — | 2 | 2 | no | — |
| 104 | C5×#41 | — | 3 | 1 | no | — |
| 105 | Q8×D5 | — | 9 | 2 | no | — |
| 106 | #711 | — | 9 | 2 | no | — |
| 107 | #711 | — | 9 | 4 | no | — |
| 108 | #709 | — | 3 | 1 | no | — |
| 109 | #709 | — | 9 | 2 | no | — |
| 110 | C2×Dic10 | — | 9 | 2 | no | — |
| 111 | C2×Dic10 | — | 9 | 1 | no | — |
| 112 | C2×C32×C4 | C2×D5 | 1 | 1 | yes | characteristic |
| 113 | C2×C3⋊Dic3 | — | 5 | 2 | no | — |
| 114 | #634 | — | 5 | 2 | no | — |
| 115 | #634 | — | 5 | 2 | no | — |
| 116 | C3×#67 | — | 5 | 2 | no | — |
| 117 | C3×#67 | C2×D5 | 1 | 2 | yes | — |
| 118 | C3×D12 | — | 5 | 1 | no | — |
| 119 | C3×D12 | C2×D5 | 1 | 1 | yes | characteristic |
| 120 | C3×C4×D3 | — | 5 | 2 | no | — |
| 121 | C3×C4×D3 | C2×D5 | 1 | 2 | yes | — |
| 122 | C3×Dic6 | — | 5 | 1 | no | — |
| 123 | C3×Dic6 | C2×D5 | 1 | 1 | yes | characteristic |
| 124 | #627 | — | 5 | 4 | no | — |
| 125 | #625 | — | 5 | 4 | no | — |
| 126 | D3×Dic3 | — | 5 | 4 | no | — |
| 127 | D3×Dic3 | — | 5 | 4 | no | — |
| 128 | C22×C3×C5 | — | 2 | 1 | no | — |
| 129 | C22×C3×C5 | — | 3 | 2 | no | — |
| 130 | C22×C3×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 131 | C22×C3×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 132 | C2×D15 | C22×D3 | 1 | 2 | yes | — |
| 133 | C2×C5×D3 | C22×D3 | 1 | 2 | yes | — |
| 134 | C2×C3×D5 | — | 3 | 2 | no | — |
| 135 | C3×C4×C5 | — | 2 | 1 | no | — |
| 136 | C3×C4×C5 | — | 2 | 1 | no | — |
| 137 | C3×C4×C5 | — | 3 | 2 | no | — |
| 138 | C3×C4×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 139 | C3×C4×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 140 | C3×C4×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 141 | C3×C4×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 142 | Dic15 | — | 3 | 4 | no | — |
| 143 | Dic15 | — | 3 | 4 | no | — |
| 144 | Dic15 | — | 6 | 4 | no | — |
| 145 | Dic15 | C22×D3 | 1 | 2 | yes | — |
| 146 | C3×Dic5 | — | 3 | 2 | no | — |
| 147 | C5×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 148 | C3×#41 | — | 3 | 1 | no | — |
| 149 | C3×#41 | — | 15 | 1 | no | — |
| 150 | D3×Q8 | — | 15 | 2 | no | — |
| 151 | D3×Q8 | — | 15 | 2 | no | — |
| 152 | #237 | — | 15 | 2 | no | — |
| 153 | #237 | — | 15 | 4 | no | — |
| 154 | #237 | — | 15 | 4 | no | — |
| 155 | #237 | — | 15 | 2 | no | — |
| 156 | #235 | — | 5 | 1 | no | — |
| 157 | #235 | — | 15 | 2 | no | — |
| 158 | #235 | — | 15 | 2 | no | — |
| 159 | #235 | D15 | 1 | 1 | yes | characteristic, complemented |
| 160 | C2×Dic6 | — | 15 | 2 | no | — |
| 161 | C2×Dic6 | — | 15 | 1 | no | — |
| 162 | C2×Dic6 | — | 15 | 1 | no | — |
| 163 | C2×Dic6 | — | 15 | 2 | no | — |
| 164 | C2×Dic6 | — | 30 | 1 | no | — |
| 165 | C32×C5 | 2−1+4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 166 | C5×Q8 | — | 3 | 1 | no | — |
| 167 | C5×D4 | — | 3 | 2 | no | — |
| 168 | C5×D4 | — | 3 | 1 | no | — |
| 169 | C2×C4×C5 | — | 3 | 2 | no | — |
| 170 | C2×C4×C5 | D32 | 1 | 1 | yes | characteristic |
| 171 | C22⋊D5 | — | 3 | 2 | no | — |
| 172 | C22⋊D5 | — | 9 | 4 | no | — |
| 173 | C2×Dic5 | — | 9 | 4 | no | — |
| 174 | C2×Dic5 | — | 9 | 2 | no | — |
| 175 | D20 | — | 3 | 1 | no | — |
| 176 | C4×D5 | — | 3 | 2 | no | — |
| 177 | C4×D5 | — | 9 | 4 | no | — |
| 178 | Dic10 | — | 3 | 1 | no | — |
| 179 | Dic10 | — | 9 | 4 | no | — |
| 180 | Dic10 | — | 9 | 2 | no | — |
| 181 | Dic10 | — | 9 | 2 | no | — |
| 182 | C22×C32 | C22×D5 | 1 | 1 | yes | characteristic |
| 183 | C2×C3×D3 | — | 5 | 2 | no | — |
| 184 | C2×C3×D3 | C22×D5 | 1 | 2 | yes | — |
| 185 | C32×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 186 | C32×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 187 | C3⋊Dic3 | — | 5 | 4 | no | — |
| 188 | C3×Dic3 | — | 5 | 2 | no | — |
| 189 | C3×Dic3 | C22×D5 | 1 | 2 | yes | — |
| 190 | 2−1+4 | — | 45 | 1 | no | Sylow |
| 191 | C2×C3×C5 | — | 2 | 2 | no | — |
| 192 | C2×C3×C5 | — | 2 | 1 | no | — |
| 193 | C2×C3×C5 | — | 2 | 1 | no | — |
| 194 | C2×C3×C5 | — | 2 | 1 | no | — |
| 195 | C2×C3×C5 | — | 6 | 2 | no | — |
| 196 | C2×C3×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 197 | C2×C3×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 198 | D15 | — | 2 | 2 | no | — |
| 199 | C3×D5 | — | 6 | 2 | no | — |
| 200 | C5×D3 | — | 2 | 2 | no | — |
| 201 | C3×Q8 | — | 3 | 1 | no | — |
| 202 | C3×Q8 | — | 15 | 1 | no | — |
| 203 | C3×D4 | — | 3 | 2 | no | — |
| 204 | C3×D4 | — | 3 | 1 | no | — |
| 205 | C3×D4 | — | 15 | 2 | no | — |
| 206 | C3×D4 | — | 15 | 1 | no | — |
| 207 | C2×C3×C4 | — | 2 | 1 | no | — |
| 208 | C2×C3×C4 | — | 3 | 2 | no | — |
| 209 | C2×C3×C4 | — | 15 | 2 | no | — |
| 210 | C2×C3×C4 | D3×D5 | 1 | 1 | yes | characteristic |
| 211 | C2×C3×C4 | C2×D15 | 1 | 1 | yes | characteristic |
| 212 | #67 | — | 5 | 2 | no | — |
| 213 | #67 | — | 15 | 4 | no | — |
| 214 | #67 | — | 15 | 4 | no | — |
| 215 | #67 | C2×D15 | 1 | 2 | yes | — |
| 216 | C2×Dic3 | — | 15 | 4 | no | — |
| 217 | C2×Dic3 | — | 15 | 2 | no | — |
| 218 | C2×Dic3 | — | 15 | 2 | no | — |
| 219 | C2×Dic3 | — | 15 | 4 | no | — |
| 220 | C2×Dic3 | — | 30 | 2 | no | — |
| 221 | D12 | — | 5 | 1 | no | — |
| 222 | D12 | C2×D15 | 1 | 1 | yes | characteristic |
| 223 | C4×D3 | — | 5 | 2 | no | — |
| 224 | C4×D3 | — | 15 | 4 | no | — |
| 225 | C4×D3 | — | 15 | 4 | no | — |
| 226 | C4×D3 | C2×D15 | 1 | 2 | yes | — |
| 227 | Dic6 | — | 5 | 1 | no | — |
| 228 | Dic6 | — | 15 | 4 | no | — |
| 229 | Dic6 | — | 15 | 2 | no | — |
| 230 | Dic6 | — | 15 | 2 | no | — |
| 231 | Dic6 | — | 15 | 2 | no | — |
| 232 | Dic6 | — | 15 | 2 | no | — |
| 233 | Dic6 | — | 15 | 4 | no | — |
| 234 | Dic6 | — | 30 | 2 | no | — |
| 235 | Dic6 | — | 30 | 2 | no | — |
| 236 | Dic6 | C2×D15 | 1 | 1 | yes | characteristic |
| 237 | C22×C5 | — | 3 | 2 | no | — |
| 238 | C22×C5 | C2×D32 | 1 | 1 | yes | characteristic |
| 239 | C2×D5 | — | 3 | 2 | no | — |
| 240 | C4×C5 | — | 3 | 2 | no | — |
| 241 | C4×C5 | C2×D32 | 1 | 1 | yes | characteristic |
| 242 | C4×C5 | C2×D32 | 1 | 1 | yes | characteristic |
| 243 | Dic5 | — | 3 | 2 | no | — |
| 244 | Dic5 | — | 9 | 4 | no | — |
| 245 | C2×C32 | — | 2 | 1 | no | — |
| 246 | C2×C32 | C23×D5 | 1 | 1 | yes | characteristic |
| 247 | C3×D3 | — | 2 | 2 | no | — |
| 248 | C3×D3 | — | 10 | 2 | no | — |
| 249 | #41 | — | 3 | 1 | no | — |
| 250 | #41 | — | 15 | 1 | no | — |
| 251 | #41 | — | 45 | 2 | no | — |
| 252 | #41 | — | 45 | 2 | no | — |
| 253 | #41 | — | 45 | 4 | no | — |
| 254 | C2×Q8 | — | 45 | 2 | no | — |
| 255 | C2×Q8 | — | 45 | 2 | no | — |
| 256 | C2×Q8 | — | 45 | 1 | no | — |
| 257 | C3×C5 | — | 2 | 1 | no | — |
| 258 | C3×C5 | #1010 | 1 | 1 | yes | characteristic, complemented |
| 259 | C3×C5 | #1010 | 1 | 1 | yes | characteristic, complemented |
| 260 | C22×C3 | — | 2 | 1 | no | — |
| 261 | C22×C3 | — | 3 | 2 | no | — |
| 262 | C22×C3 | — | 15 | 2 | no | — |
| 263 | C22×C3 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 264 | C22×C3 | C22×D15 | 1 | 1 | yes | characteristic |
| 265 | C2×D3 | — | 5 | 2 | no | — |
| 266 | C2×D3 | C22×D15 | 1 | 2 | yes | — |
| 267 | C3×C4 | — | 2 | 1 | no | — |
| 268 | C3×C4 | — | 2 | 1 | no | — |
| 269 | C3×C4 | — | 3 | 2 | no | — |
| 270 | C3×C4 | — | 15 | 2 | no | — |
| 271 | C3×C4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 272 | C3×C4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 273 | C3×C4 | C22×D15 | 1 | 1 | yes | characteristic |
| 274 | C3×C4 | C22×D15 | 1 | 1 | yes | characteristic |
| 275 | Dic3 | — | 5 | 2 | no | — |
| 276 | Dic3 | — | 15 | 4 | no | — |
| 277 | Dic3 | — | 15 | 4 | no | — |
| 278 | Dic3 | — | 30 | 4 | no | — |
| 279 | Dic3 | C22×D15 | 1 | 2 | yes | — |
| 280 | C2×C5 | — | 2 | 1 | no | — |
| 281 | C2×C5 | — | 6 | 2 | no | — |
| 282 | C2×C5 | C22×D32 | 1 | 1 | yes | characteristic |
| 283 | D5 | — | 6 | 2 | no | — |
| 284 | C32 | #4150 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 285 | Q8 | — | 3 | 1 | no | — |
| 286 | Q8 | — | 15 | 1 | no | — |
| 287 | Q8 | — | 45 | 4 | no | — |
| 288 | Q8 | — | 45 | 2 | no | — |
| 289 | Q8 | — | 45 | 2 | no | — |
| 290 | D4 | — | 3 | 2 | no | — |
| 291 | D4 | — | 3 | 1 | no | — |
| 292 | D4 | — | 15 | 2 | no | — |
| 293 | D4 | — | 15 | 1 | no | — |
| 294 | D4 | — | 45 | 4 | no | — |
| 295 | C2×C4 | — | 3 | 2 | no | — |
| 296 | C2×C4 | — | 15 | 2 | no | — |
| 297 | C2×C4 | — | 45 | 4 | no | — |
| 298 | C2×C4 | — | 45 | 4 | no | — |
| 299 | C2×C4 | — | 45 | 2 | no | — |
| 300 | C2×C4 | D3×D15 | 1 | 1 | yes | characteristic |
| 301 | C2×C3 | — | 2 | 2 | no | — |
| 302 | C2×C3 | — | 2 | 1 | no | — |
| 303 | C2×C3 | — | 2 | 1 | no | — |
| 304 | C2×C3 | — | 2 | 1 | no | — |
| 305 | C2×C3 | — | 6 | 2 | no | — |
| 306 | C2×C3 | — | 30 | 2 | no | — |
| 307 | C2×C3 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 308 | C2×C3 | C23×D15 | 1 | 1 | yes | characteristic |
| 309 | D3 | — | 2 | 2 | no | — |
| 310 | D3 | — | 10 | 2 | no | — |
| 311 | C5 | #64298 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 312 | C22 | — | 3 | 2 | no | — |
| 313 | C22 | — | 15 | 2 | no | — |
| 314 | C22 | C2×D3×D15 | 1 | 1 | yes | characteristic |
| 315 | C4 | — | 3 | 2 | no | — |
| 316 | C4 | — | 15 | 2 | no | — |
| 317 | C4 | — | 45 | 4 | no | — |
| 318 | C4 | C2×D3×D15 | 1 | 1 | yes | characteristic |
| 319 | C4 | C2×D3×D15 | 1 | 1 | yes | characteristic |
| 320 | C3 | — | 2 | 1 | no | — |
| 321 | C3 | #92001 | 1 | 1 | yes | characteristic, complemented |
| 322 | C3 | #92101 | 1 | 1 | yes | characteristic, complemented |
| 323 | C2 | — | 2 | 1 | no | — |
| 324 | C2 | — | 6 | 2 | no | — |
| 325 | C2 | — | 30 | 2 | no | — |
| 326 | C2 | C22×D3×D15 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta