| 1 | C3×#66087 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#66086 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×C5×#504 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#65198 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | C3×#65197 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | C3×#65193 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | C2×C3×#3932 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #10613745 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 9 | C3×#4150 | — | 2 | 1 | no | — |
| 10 | C3×#4149 | — | 2 | 1 | no | — |
| 11 | C3×C5×#131 | C22 | 1 | 1 | yes | characteristic |
| 12 | C3×#4055 | — | 2 | 3 | no | — |
| 13 | C3×#4054 | — | 2 | 3 | no | — |
| 14 | C2×C3×Dic20 | C22 | 1 | 3 | yes | complemented |
| 15 | C3×#4050 | C22 | 1 | 3 | yes | — |
| 16 | C3×#4050 | C22 | 1 | 3 | yes | complemented |
| 17 | C2×C3×D40 | C22 | 1 | 3 | yes | — |
| 18 | C3×C5×M32 | C22 | 1 | 3 | yes | complemented |
| 19 | C2×C3×C5×C16 | C22 | 1 | 3 | yes | complemented |
| 20 | C3×Dic40 | C22 | 1 | 3 | yes | complemented |
| 21 | C3×#3932 | C22 | 1 | 3 | yes | complemented |
| 22 | C3×#3932 | C22 | 1 | 6 | yes | complemented |
| 23 | C3×#3932 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C3×D80 | C22 | 1 | 3 | yes | complemented |
| 25 | C3×#3416 | — | 5 | 1 | no | maximal, Hall |
| 26 | #66087 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 27 | #66086 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 28 | C5×#504 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 29 | #65198 | C2×C3 | 1 | 3 | yes | complemented |
| 30 | #65197 | C2×C3 | 1 | 3 | yes | complemented |
| 31 | #65193 | C2×C3 | 1 | 3 | yes | complemented |
| 32 | C2×#3932 | C2×C3 | 1 | 3 | yes | complemented |
| 33 | C3×C5×#41 | D4 | 1 | 1 | yes | characteristic |
| 34 | C3×#713 | — | 4 | 1 | no | — |
| 35 | C3×Q8×D5 | — | 4 | 1 | no | — |
| 36 | C3×#711 | — | 4 | 3 | no | — |
| 37 | C3×D4×D5 | — | 4 | 3 | no | — |
| 38 | C3×#709 | — | 2 | 3 | no | — |
| 39 | C3×#709 | — | 2 | 3 | no | — |
| 40 | C2×C3×D20 | — | 2 | 3 | no | — |
| 41 | C2×C3×Dic10 | — | 2 | 3 | no | — |
| 42 | C3×C5×M16 | D4 | 1 | 3 | yes | — |
| 43 | C2×C3×C5×C8 | C23 | 1 | 3 | yes | — |
| 44 | C3×Dic20 | — | 2 | 3 | no | — |
| 45 | C3×Dic20 | C23 | 1 | 3 | yes | — |
| 46 | C3×Dic20 | C23 | 1 | 1 | yes | characteristic |
| 47 | C3×D40 | — | 2 | 3 | no | — |
| 48 | C3×D40 | C23 | 1 | 1 | yes | characteristic |
| 49 | C3×D40 | C23 | 1 | 3 | yes | — |
| 50 | C3×#677 | — | 2 | 3 | no | — |
| 51 | C3×#677 | — | 2 | 3 | no | — |
| 52 | C3×C5×C16 | C23 | 1 | 1 | yes | characteristic |
| 53 | C3×C5×C16 | C23 | 1 | 3 | yes | — |
| 54 | C3×#578 | — | 5 | 1 | no | — |
| 55 | C3×#576 | — | 5 | 1 | no | — |
| 56 | C3×#510 | — | 5 | 3 | no | — |
| 57 | C3×#509 | — | 5 | 3 | no | — |
| 58 | C3×#508 | — | 5 | 3 | no | — |
| 59 | C2×C3×SD32 | — | 5 | 3 | no | — |
| 60 | C3×#504 | D5 | 1 | 1 | yes | characteristic, complemented |
| 61 | #4150 | — | 2 | 1 | no | — |
| 62 | #4149 | — | 2 | 1 | no | — |
| 63 | C5×#131 | C22×C3 | 1 | 1 | yes | characteristic |
| 64 | #4055 | — | 2 | 3 | no | — |
| 65 | #4054 | — | 2 | 3 | no | — |
| 66 | C2×Dic20 | C22×C3 | 1 | 3 | yes | complemented |
| 67 | #4050 | C22×C3 | 1 | 3 | yes | — |
| 68 | #4050 | C22×C3 | 1 | 3 | yes | complemented |
| 69 | C2×D40 | C22×C3 | 1 | 3 | yes | — |
| 70 | C5×M32 | C22×C3 | 1 | 3 | yes | complemented |
| 71 | C2×C5×C16 | C22×C3 | 1 | 3 | yes | complemented |
| 72 | Dic40 | C22×C3 | 1 | 3 | yes | complemented |
| 73 | #3932 | C22×C3 | 1 | 3 | yes | complemented |
| 74 | #3932 | C22×C3 | 1 | 6 | yes | complemented |
| 75 | #3932 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 76 | D80 | C22×C3 | 1 | 3 | yes | complemented |
| 77 | #3416 | — | 5 | 1 | no | Sylow |
| 78 | C22×C3×D5 | — | 4 | 3 | no | — |
| 79 | C3×C5×Q8 | D8 | 1 | 1 | yes | characteristic |
| 80 | C3×C5×D4 | D8 | 1 | 3 | yes | — |
| 81 | C2×C3×C4×C5 | C2×D4 | 1 | 3 | yes | — |
| 82 | C3×C22⋊D5 | — | 4 | 3 | no | — |
| 83 | C3×C22⋊D5 | — | 4 | 3 | no | — |
| 84 | C2×C3×Dic5 | — | 4 | 3 | no | — |
| 85 | C3×D20 | — | 2 | 1 | no | — |
| 86 | C3×D20 | — | 2 | 3 | no | — |
| 87 | C3×D20 | — | 4 | 3 | no | — |
| 88 | C3×C4×D5 | — | 4 | 3 | no | — |
| 89 | C3×C4×D5 | — | 4 | 3 | no | — |
| 90 | C3×Dic10 | — | 2 | 1 | no | — |
| 91 | C3×Dic10 | — | 2 | 3 | no | — |
| 92 | C3×Dic10 | — | 4 | 3 | no | — |
| 93 | C3×C5×C8 | C2×D4 | 1 | 3 | yes | — |
| 94 | C3×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 95 | C3×2−1+4 | — | 10 | 1 | no | — |
| 96 | C3×H(5,𝔽2) | — | 10 | 1 | no | — |
| 97 | C3×#137 | — | 10 | 3 | no | — |
| 98 | C3×AGL(1,ℤ/8) | — | 10 | 3 | no | — |
| 99 | C3×#135 | — | 5 | 3 | no | — |
| 100 | C3×#135 | — | 5 | 3 | no | — |
| 101 | C2×C3×Q16 | — | 5 | 3 | no | — |
| 102 | C2×C3×D8 | — | 5 | 3 | no | — |
| 103 | C3×#131 | C2×D5 | 1 | 1 | yes | characteristic |
| 104 | C3×Q32 | — | 5 | 3 | no | — |
| 105 | C3×SD32 | — | 5 | 3 | no | — |
| 106 | C3×SD32 | — | 5 | 6 | no | — |
| 107 | C3×SD32 | — | 5 | 1 | no | — |
| 108 | C3×D16 | — | 5 | 3 | no | — |
| 109 | C3×M32 | C2×D5 | 1 | 3 | yes | complemented |
| 110 | C2×C3×C16 | C2×D5 | 1 | 3 | yes | complemented |
| 111 | C5×#41 | C3×D4 | 1 | 1 | yes | characteristic |
| 112 | #713 | — | 4 | 1 | no | — |
| 113 | Q8×D5 | — | 4 | 1 | no | — |
| 114 | #711 | — | 4 | 3 | no | — |
| 115 | D4×D5 | — | 4 | 3 | no | — |
| 116 | #709 | — | 2 | 3 | no | — |
| 117 | #709 | — | 2 | 3 | no | — |
| 118 | C2×D20 | — | 2 | 3 | no | — |
| 119 | C2×Dic10 | — | 2 | 3 | no | — |
| 120 | C5×M16 | C3×D4 | 1 | 3 | yes | — |
| 121 | C2×C5×C8 | C23×C3 | 1 | 3 | yes | — |
| 122 | Dic20 | — | 2 | 3 | no | — |
| 123 | Dic20 | C23×C3 | 1 | 3 | yes | — |
| 124 | Dic20 | C23×C3 | 1 | 1 | yes | characteristic |
| 125 | D40 | — | 2 | 3 | no | — |
| 126 | D40 | C23×C3 | 1 | 1 | yes | characteristic |
| 127 | D40 | C23×C3 | 1 | 3 | yes | — |
| 128 | #677 | — | 2 | 3 | no | — |
| 129 | #677 | — | 2 | 3 | no | — |
| 130 | C5×C16 | C23×C3 | 1 | 3 | yes | — |
| 131 | C5×C16 | C23×C3 | 1 | 1 | yes | characteristic |
| 132 | #578 | — | 5 | 1 | no | — |
| 133 | #576 | — | 5 | 1 | no | — |
| 134 | #510 | — | 5 | 3 | no | — |
| 135 | #509 | — | 5 | 3 | no | — |
| 136 | #508 | — | 5 | 3 | no | — |
| 137 | C2×SD32 | — | 5 | 3 | no | — |
| 138 | #504 | C3×D5 | 1 | 1 | yes | characteristic, complemented |
| 139 | C22×C3×C5 | C2×D8 | 1 | 3 | yes | — |
| 140 | C2×C3×D5 | — | 4 | 1 | no | — |
| 141 | C2×C3×D5 | — | 4 | 3 | no | — |
| 142 | C2×C3×D5 | — | 16 | 3 | no | — |
| 143 | C3×C4×C5 | C2×D8 | 1 | 3 | yes | — |
| 144 | C3×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 145 | C3×Dic5 | — | 4 | 3 | no | — |
| 146 | C3×Dic5 | — | 4 | 1 | no | — |
| 147 | C3×#41 | — | 10 | 3 | no | — |
| 148 | C3×#41 | — | 10 | 3 | no | — |
| 149 | C3×#41 | — | 20 | 1 | no | — |
| 150 | C3×#41 | — | 20 | 3 | no | — |
| 151 | C3×#41 | D20 | 1 | 1 | yes | characteristic |
| 152 | C2×C3×Q8 | — | 10 | 3 | no | — |
| 153 | C2×C3×Q8 | — | 20 | 1 | no | — |
| 154 | C2×C3×D4 | — | 10 | 3 | no | — |
| 155 | C2×C3×D4 | — | 20 | 3 | no | — |
| 156 | C3×Q16 | — | 5 | 3 | no | — |
| 157 | C3×Q16 | — | 5 | 1 | no | — |
| 158 | C3×Q16 | — | 10 | 3 | no | — |
| 159 | C3×SD16 | — | 10 | 3 | no | — |
| 160 | C3×SD16 | — | 10 | 3 | no | — |
| 161 | C3×D8 | — | 5 | 1 | no | — |
| 162 | C3×D8 | — | 5 | 3 | no | — |
| 163 | C3×D8 | — | 10 | 3 | no | — |
| 164 | C3×M16 | D20 | 1 | 3 | yes | — |
| 165 | C2×C3×C8 | C22×D5 | 1 | 3 | yes | — |
| 166 | C3×C16 | C22×D5 | 1 | 1 | yes | characteristic |
| 167 | C3×C16 | C22×D5 | 1 | 3 | yes | — |
| 168 | C22×D5 | — | 4 | 3 | no | — |
| 169 | C5×Q8 | C3×D8 | 1 | 1 | yes | characteristic |
| 170 | C5×D4 | C3×D8 | 1 | 3 | yes | — |
| 171 | C2×C4×C5 | C2×C3×D4 | 1 | 3 | yes | — |
| 172 | C22⋊D5 | — | 4 | 3 | no | — |
| 173 | C22⋊D5 | — | 4 | 3 | no | — |
| 174 | C2×Dic5 | — | 4 | 3 | no | — |
| 175 | D20 | — | 2 | 1 | no | — |
| 176 | D20 | — | 2 | 3 | no | — |
| 177 | D20 | — | 4 | 3 | no | — |
| 178 | C4×D5 | — | 4 | 3 | no | — |
| 179 | C4×D5 | — | 4 | 3 | no | — |
| 180 | Dic10 | — | 2 | 1 | no | — |
| 181 | Dic10 | — | 2 | 3 | no | — |
| 182 | Dic10 | — | 4 | 3 | no | — |
| 183 | C5×C8 | C2×C3×D4 | 1 | 3 | yes | — |
| 184 | C5×C8 | C24×C3 | 1 | 1 | yes | characteristic |
| 185 | 2−1+4 | — | 10 | 1 | no | — |
| 186 | H(5,𝔽2) | — | 10 | 1 | no | — |
| 187 | #137 | — | 10 | 3 | no | — |
| 188 | AGL(1,ℤ/8) | — | 10 | 3 | no | — |
| 189 | #135 | — | 5 | 3 | no | — |
| 190 | #135 | — | 5 | 3 | no | — |
| 191 | C2×Q16 | — | 5 | 3 | no | — |
| 192 | C2×D8 | — | 5 | 3 | no | — |
| 193 | #131 | C2×C3×D5 | 1 | 1 | yes | characteristic |
| 194 | Q32 | — | 5 | 3 | no | — |
| 195 | SD32 | — | 5 | 3 | no | — |
| 196 | SD32 | — | 5 | 6 | no | — |
| 197 | SD32 | — | 5 | 1 | no | — |
| 198 | D16 | — | 5 | 3 | no | — |
| 199 | M32 | C2×C3×D5 | 1 | 3 | yes | complemented |
| 200 | C2×C16 | C2×C3×D5 | 1 | 3 | yes | complemented |
| 201 | C2×C3×C5 | — | 2 | 3 | no | — |
| 202 | C2×C3×C5 | C22×D8 | 1 | 1 | yes | characteristic |
| 203 | C3×D5 | — | 8 | 1 | no | — |
| 204 | C3×D5 | — | 8 | 3 | no | — |
| 205 | C23×C3 | — | 20 | 3 | no | — |
| 206 | C3×Q8 | — | 10 | 1 | no | — |
| 207 | C3×Q8 | — | 10 | 3 | no | — |
| 208 | C3×Q8 | — | 20 | 3 | no | — |
| 209 | C3×Q8 | D40 | 1 | 1 | yes | characteristic |
| 210 | C3×D4 | — | 10 | 3 | no | — |
| 211 | C3×D4 | — | 10 | 1 | no | — |
| 212 | C3×D4 | — | 20 | 3 | no | — |
| 213 | C3×D4 | — | 20 | 3 | no | — |
| 214 | C3×D4 | — | 20 | 3 | no | — |
| 215 | C3×D4 | D40 | 1 | 3 | yes | — |
| 216 | C2×C3×C4 | — | 20 | 3 | no | — |
| 217 | C2×C3×C4 | — | 20 | 3 | no | — |
| 218 | C2×C3×C4 | — | 20 | 3 | no | — |
| 219 | C2×C3×C4 | C2×D20 | 1 | 3 | yes | — |
| 220 | C3×C8 | C2×D20 | 1 | 3 | yes | — |
| 221 | C3×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 222 | C22×C5 | C2×C3×D8 | 1 | 3 | yes | — |
| 223 | C2×D5 | — | 4 | 1 | no | — |
| 224 | C2×D5 | — | 4 | 3 | no | — |
| 225 | C2×D5 | — | 16 | 3 | no | — |
| 226 | C4×C5 | C2×C3×D8 | 1 | 3 | yes | — |
| 227 | C4×C5 | C22×C3×D4 | 1 | 1 | yes | characteristic |
| 228 | Dic5 | — | 4 | 3 | no | — |
| 229 | Dic5 | — | 4 | 1 | no | — |
| 230 | #41 | — | 10 | 3 | no | — |
| 231 | #41 | — | 10 | 3 | no | — |
| 232 | #41 | — | 20 | 1 | no | — |
| 233 | #41 | — | 20 | 3 | no | — |
| 234 | #41 | C3×D20 | 1 | 1 | yes | characteristic |
| 235 | C2×Q8 | — | 10 | 3 | no | — |
| 236 | C2×Q8 | — | 20 | 1 | no | — |
| 237 | C2×D4 | — | 10 | 3 | no | — |
| 238 | C2×D4 | — | 20 | 3 | no | — |
| 239 | Q16 | — | 5 | 3 | no | — |
| 240 | Q16 | — | 5 | 1 | no | — |
| 241 | Q16 | — | 10 | 3 | no | — |
| 242 | SD16 | — | 10 | 3 | no | — |
| 243 | SD16 | — | 10 | 3 | no | — |
| 244 | D8 | — | 5 | 1 | no | — |
| 245 | D8 | — | 5 | 3 | no | — |
| 246 | D8 | — | 10 | 3 | no | — |
| 247 | M16 | C3×D20 | 1 | 3 | yes | — |
| 248 | C2×C8 | C22×C3×D5 | 1 | 3 | yes | — |
| 249 | C16 | C22×C3×D5 | 1 | 1 | yes | characteristic |
| 250 | C16 | C22×C3×D5 | 1 | 3 | yes | — |
| 251 | C3×C5 | #3416 | 1 | 1 | yes | characteristic, complemented, Hall |
| 252 | C22×C3 | — | 20 | 1 | no | — |
| 253 | C22×C3 | — | 20 | 3 | no | — |
| 254 | C22×C3 | — | 80 | 3 | no | — |
| 255 | C22×C3 | C2×D40 | 1 | 3 | yes | — |
| 256 | C3×C4 | — | 20 | 1 | no | — |
| 257 | C3×C4 | — | 20 | 3 | no | — |
| 258 | C3×C4 | C2×D40 | 1 | 3 | yes | — |
| 259 | C3×C4 | C22×D20 | 1 | 1 | yes | characteristic |
| 260 | C2×C5 | — | 2 | 3 | no | — |
| 261 | C2×C5 | C22×C3×D8 | 1 | 1 | yes | characteristic |
| 262 | D5 | — | 8 | 3 | no | — |
| 263 | D5 | — | 8 | 1 | no | — |
| 264 | C23 | — | 20 | 3 | no | — |
| 265 | Q8 | — | 10 | 1 | no | — |
| 266 | Q8 | — | 10 | 3 | no | — |
| 267 | Q8 | — | 20 | 3 | no | — |
| 268 | Q8 | C3×D40 | 1 | 1 | yes | characteristic |
| 269 | D4 | — | 10 | 3 | no | — |
| 270 | D4 | — | 10 | 1 | no | — |
| 271 | D4 | — | 20 | 3 | no | — |
| 272 | D4 | — | 20 | 3 | no | — |
| 273 | D4 | — | 20 | 3 | no | — |
| 274 | D4 | C3×D40 | 1 | 3 | yes | — |
| 275 | C2×C4 | — | 20 | 3 | no | — |
| 276 | C2×C4 | — | 20 | 3 | no | — |
| 277 | C2×C4 | — | 20 | 3 | no | — |
| 278 | C2×C4 | C2×C3×D20 | 1 | 3 | yes | — |
| 279 | C8 | C2×C3×D20 | 1 | 3 | yes | — |
| 280 | C8 | C23×C3×D5 | 1 | 1 | yes | characteristic |
| 281 | C2×C3 | — | 2 | 3 | no | — |
| 282 | C2×C3 | — | 40 | 3 | no | — |
| 283 | C2×C3 | — | 40 | 1 | no | — |
| 284 | C2×C3 | C22×D40 | 1 | 1 | yes | characteristic |
| 285 | C5 | C3×#3416 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 286 | C22 | — | 20 | 1 | no | — |
| 287 | C22 | — | 20 | 3 | no | — |
| 288 | C22 | — | 80 | 3 | no | — |
| 289 | C22 | C2×C3×D40 | 1 | 3 | yes | — |
| 290 | C4 | — | 20 | 1 | no | — |
| 291 | C4 | — | 20 | 3 | no | — |
| 292 | C4 | C2×C3×D40 | 1 | 3 | yes | — |
| 293 | C4 | C22×C3×D20 | 1 | 1 | yes | characteristic |
| 294 | C3 | #10613745 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 295 | C2 | — | 2 | 3 | no | — |
| 296 | C2 | — | 40 | 3 | no | — |
| 297 | C2 | — | 40 | 1 | no | — |
| 298 | C2 | C22×C3×D40 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta