| 1 | C2×#6782 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×#6762 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C3×#704 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #91931 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #91929 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | D3×#704 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #91927 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #66256 | — | 3 | 1 | no | maximal, Hall |
| 9 | C2×#1220 | C4 | 1 | 1 | yes | characteristic |
| 10 | C2×C5×#67 | C4 | 1 | 1 | yes | characteristic |
| 11 | C22×C3×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×#1204 | C4 | 1 | 1 | yes | characteristic |
| 13 | C2×#1203 | C4 | 1 | 1 | yes | characteristic |
| 14 | C2×#1200 | C22 | 1 | 1 | yes | characteristic |
| 15 | #6782 | C4 | 1 | 2 | yes | — |
| 16 | #6782 | C4 | 1 | 2 | yes | — |
| 17 | #6782 | C22 | 1 | 2 | yes | — |
| 18 | #6782 | C22 | 1 | 2 | yes | — |
| 19 | C2×D3×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 20 | #6762 | C22 | 1 | 2 | yes | — |
| 21 | #6762 | C22 | 1 | 2 | yes | complemented |
| 22 | C2×C3⋊#170 | C22 | 1 | 2 | yes | complemented |
| 23 | C3×#704 | C22 | 1 | 2 | yes | — |
| 24 | C3×#704 | C22 | 1 | 2 | yes | complemented |
| 25 | C2×C3×#170 | C22 | 1 | 2 | yes | complemented |
| 26 | #6740 | C22 | 1 | 4 | yes | complemented |
| 27 | #6739 | C22 | 1 | 4 | yes | complemented |
| 28 | #6738 | C22 | 1 | 4 | yes | complemented |
| 29 | D3×#170 | C22 | 1 | 4 | yes | complemented |
| 30 | #5745 | — | 5 | 1 | no | maximal, Hall |
| 31 | C2×#711 | — | 3 | 1 | no | — |
| 32 | C2×#704 | — | 3 | 1 | no | — |
| 33 | C2×#704 | — | 3 | 2 | no | — |
| 34 | C2×#704 | D3 | 1 | 1 | yes | characteristic, complemented |
| 35 | #4131 | — | 3 | 4 | no | — |
| 36 | #4131 | — | 3 | 4 | no | — |
| 37 | D5⋊M16 | — | 3 | 2 | no | — |
| 38 | C23×C3×C5 | C2×C4 | 1 | 1 | yes | characteristic |
| 39 | C22×D15 | C2×C4 | 1 | 1 | yes | characteristic |
| 40 | C22×C5×D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 41 | #1220 | C2×C4 | 1 | 2 | yes | — |
| 42 | #1220 | C2×C4 | 1 | 2 | yes | — |
| 43 | C2×Dic15 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | C5×#67 | C2×C4 | 1 | 2 | yes | — |
| 45 | C5×#67 | C2×C4 | 1 | 2 | yes | — |
| 46 | C2×C5×Dic3 | C2×C4 | 1 | 1 | yes | characteristic |
| 47 | C2×C3×Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 48 | C2×C3×Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 49 | C2×C3×Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 50 | C2×C3×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 51 | C2×C3×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 52 | C2×C3×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 53 | #1204 | C2×C4 | 1 | 2 | yes | — |
| 54 | #1204 | C2×C4 | 1 | 2 | yes | — |
| 55 | #1203 | C2×C4 | 1 | 2 | yes | — |
| 56 | #1203 | C2×C4 | 1 | 2 | yes | — |
| 57 | #1200 | C2×C4 | 1 | 2 | yes | — |
| 58 | #1200 | C23 | 1 | 2 | yes | — |
| 59 | D3×Dic5 | C2×C4 | 1 | 2 | yes | — |
| 60 | D3×Dic5 | C23 | 1 | 2 | yes | — |
| 61 | C3⋊#170 | C23 | 1 | 4 | yes | — |
| 62 | C3×#170 | C23 | 1 | 4 | yes | — |
| 63 | C2×#235 | — | 5 | 1 | no | — |
| 64 | C2×C3×M16 | — | 5 | 1 | no | — |
| 65 | C2×#208 | — | 5 | 1 | no | — |
| 66 | #907 | — | 5 | 4 | no | — |
| 67 | D3×M16 | — | 5 | 2 | no | — |
| 68 | D3×M16 | — | 5 | 2 | no | — |
| 69 | #901 | — | 5 | 4 | no | — |
| 70 | C2×C5×D4 | — | 3 | 1 | no | — |
| 71 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 72 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 73 | C22×Dic5 | — | 3 | 1 | no | — |
| 74 | C22×Dic5 | C2×D3 | 1 | 1 | yes | characteristic |
| 75 | #711 | — | 3 | 2 | no | — |
| 76 | #711 | — | 3 | 2 | no | — |
| 77 | #711 | — | 3 | 2 | no | — |
| 78 | #711 | — | 3 | 2 | no | — |
| 79 | C2×C4×D5 | — | 3 | 1 | no | — |
| 80 | C2×Dic10 | — | 3 | 1 | no | — |
| 81 | #704 | — | 3 | 2 | no | — |
| 82 | #704 | — | 3 | 2 | no | — |
| 83 | #704 | — | 3 | 4 | no | — |
| 84 | #704 | C2×D3 | 1 | 2 | yes | — |
| 85 | #704 | C2×D3 | 1 | 2 | yes | complemented |
| 86 | C2×#170 | — | 3 | 2 | no | — |
| 87 | C2×#170 | — | 3 | 4 | no | — |
| 88 | C2×#170 | C2×D3 | 1 | 2 | yes | complemented |
| 89 | #700 | — | 3 | 4 | no | — |
| 90 | D5⋊C8 | — | 3 | 4 | no | — |
| 91 | #568 | — | 15 | 1 | no | Sylow |
| 92 | C22×C3×C5 | — | 4 | 1 | no | — |
| 93 | C22×C3×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 94 | C22×C3×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 95 | C22×C3×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 96 | C2×D15 | — | 4 | 1 | no | — |
| 97 | C2×D15 | C22×C4 | 1 | 2 | yes | — |
| 98 | C2×C5×D3 | — | 4 | 1 | no | — |
| 99 | C2×C5×D3 | C22×C4 | 1 | 2 | yes | — |
| 100 | Dic15 | C22×C4 | 1 | 2 | yes | — |
| 101 | C3×Dic5 | C22×C4 | 1 | 1 | yes | characteristic |
| 102 | C3×Dic5 | C22×C4 | 1 | 1 | yes | characteristic |
| 103 | C3×Dic5 | C22×C4 | 1 | 1 | yes | characteristic |
| 104 | C3×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 105 | C5×Dic3 | C22×C4 | 1 | 2 | yes | — |
| 106 | C22×C3×C4 | — | 5 | 1 | no | — |
| 107 | C2×#67 | — | 5 | 1 | no | — |
| 108 | C2×#67 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 109 | #235 | — | 5 | 2 | no | — |
| 110 | #235 | — | 5 | 2 | no | — |
| 111 | #235 | — | 5 | 2 | no | — |
| 112 | #235 | — | 5 | 2 | no | — |
| 113 | C2×D12 | — | 5 | 1 | no | — |
| 114 | C2×C4×D3 | — | 5 | 1 | no | — |
| 115 | C2×C4×D3 | — | 5 | 1 | no | — |
| 116 | C2×Dic6 | — | 5 | 1 | no | — |
| 117 | C3×M16 | — | 5 | 2 | no | — |
| 118 | C3×M16 | — | 5 | 2 | no | — |
| 119 | C2×C3×C8 | — | 5 | 2 | no | — |
| 120 | #208 | — | 5 | 2 | no | — |
| 121 | #208 | — | 5 | 2 | no | — |
| 122 | C2×C3⋊C8 | — | 5 | 2 | no | — |
| 123 | ΓL(1,𝔽25) | — | 5 | 4 | no | — |
| 124 | ΓL(1,𝔽25) | — | 5 | 4 | no | — |
| 125 | D3×C8 | — | 5 | 4 | no | — |
| 126 | D3×C8 | — | 5 | 4 | no | — |
| 127 | C23×C5 | — | 3 | 1 | no | — |
| 128 | C23×C5 | C4×D3 | 1 | 1 | yes | characteristic |
| 129 | C22×D5 | — | 3 | 1 | no | — |
| 130 | C5×D4 | — | 3 | 2 | no | — |
| 131 | C5×D4 | — | 3 | 2 | no | — |
| 132 | C2×C4×C5 | — | 3 | 1 | no | — |
| 133 | C22⋊D5 | — | 3 | 2 | no | — |
| 134 | C22⋊D5 | — | 3 | 2 | no | — |
| 135 | C22⋊D5 | — | 3 | 2 | no | — |
| 136 | C22⋊D5 | — | 3 | 2 | no | — |
| 137 | C2×Dic5 | — | 3 | 1 | no | — |
| 138 | C2×Dic5 | — | 3 | 2 | no | — |
| 139 | C2×Dic5 | — | 3 | 2 | no | — |
| 140 | C2×Dic5 | C4×D3 | 1 | 1 | yes | characteristic |
| 141 | C2×Dic5 | C4×D3 | 1 | 1 | yes | characteristic |
| 142 | C2×Dic5 | C4×D3 | 1 | 1 | yes | characteristic |
| 143 | C2×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 144 | C2×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 145 | C2×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 146 | C4×D5 | — | 3 | 2 | no | — |
| 147 | C4×D5 | — | 3 | 2 | no | — |
| 148 | Dic10 | — | 3 | 2 | no | — |
| 149 | Dic10 | — | 3 | 2 | no | — |
| 150 | #170 | — | 3 | 4 | no | — |
| 151 | #170 | C22×D3 | 1 | 4 | yes | — |
| 152 | C2×#41 | — | 15 | 1 | no | — |
| 153 | #131 | — | 15 | 4 | no | — |
| 154 | #131 | — | 15 | 4 | no | — |
| 155 | C2×M16 | — | 5 | 1 | no | — |
| 156 | C2×M16 | — | 15 | 2 | no | — |
| 157 | C2×M16 | — | 15 | 2 | no | — |
| 158 | C2×M16 | — | 15 | 1 | no | — |
| 159 | C2×C3×C5 | — | 2 | 1 | no | — |
| 160 | C2×C3×C5 | — | 2 | 1 | no | — |
| 161 | C2×C3×C5 | — | 2 | 1 | no | — |
| 162 | C2×C3×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 163 | D15 | — | 2 | 2 | no | — |
| 164 | C5×D3 | — | 2 | 2 | no | — |
| 165 | C23×C3 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 166 | C22×D3 | — | 5 | 1 | no | — |
| 167 | C22×D3 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 168 | C2×C3×C4 | — | 5 | 1 | no | — |
| 169 | C2×C3×C4 | — | 5 | 1 | no | — |
| 170 | C2×C3×C4 | — | 5 | 1 | no | — |
| 171 | C2×C3×C4 | — | 5 | 1 | no | — |
| 172 | C2×C3×C4 | — | 5 | 1 | no | — |
| 173 | C2×C3×C4 | — | 5 | 1 | no | — |
| 174 | #67 | — | 5 | 2 | no | — |
| 175 | #67 | — | 5 | 2 | no | — |
| 176 | #67 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 177 | #67 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 178 | C2×Dic3 | — | 5 | 1 | no | — |
| 179 | C2×Dic3 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 180 | D12 | — | 5 | 2 | no | — |
| 181 | D12 | — | 5 | 2 | no | — |
| 182 | C4×D3 | — | 5 | 2 | no | — |
| 183 | C4×D3 | — | 5 | 2 | no | — |
| 184 | C4×D3 | — | 5 | 2 | no | — |
| 185 | C4×D3 | — | 5 | 2 | no | — |
| 186 | Dic6 | — | 5 | 2 | no | — |
| 187 | Dic6 | — | 5 | 2 | no | — |
| 188 | C3×C8 | — | 5 | 4 | no | — |
| 189 | C3⋊C8 | — | 5 | 4 | no | — |
| 190 | C22×C5 | — | 3 | 2 | no | — |
| 191 | C22×C5 | — | 4 | 1 | no | — |
| 192 | C22×C5 | — | 12 | 1 | no | — |
| 193 | C22×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 194 | C22×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 195 | C22×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 196 | C2×D5 | — | 3 | 2 | no | — |
| 197 | C2×D5 | — | 12 | 1 | no | — |
| 198 | C4×C5 | — | 3 | 2 | no | — |
| 199 | Dic5 | — | 3 | 2 | no | — |
| 200 | Dic5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 201 | Dic5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 202 | Dic5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 203 | Dic5 | C23×D3 | 1 | 1 | yes | characteristic |
| 204 | #41 | — | 15 | 2 | no | — |
| 205 | #41 | — | 15 | 2 | no | — |
| 206 | #41 | — | 15 | 2 | no | — |
| 207 | #41 | — | 15 | 2 | no | — |
| 208 | C2×Q8 | — | 15 | 1 | no | — |
| 209 | C2×D4 | — | 3 | 1 | no | — |
| 210 | C2×D4 | — | 15 | 1 | no | — |
| 211 | C2×D4 | — | 15 | 1 | no | — |
| 212 | C22×C4 | — | 5 | 1 | no | — |
| 213 | C22×C4 | — | 15 | 1 | no | — |
| 214 | C22×C4 | — | 15 | 1 | no | — |
| 215 | M16 | — | 5 | 2 | no | — |
| 216 | M16 | — | 5 | 2 | no | — |
| 217 | M16 | — | 15 | 4 | no | — |
| 218 | M16 | — | 15 | 4 | no | — |
| 219 | M16 | — | 15 | 2 | no | — |
| 220 | M16 | — | 15 | 2 | no | — |
| 221 | C2×C8 | — | 5 | 2 | no | — |
| 222 | C2×C8 | — | 15 | 4 | no | — |
| 223 | C2×C8 | — | 15 | 4 | no | — |
| 224 | C2×C8 | — | 15 | 2 | no | — |
| 225 | C3×C5 | #568 | 1 | 1 | yes | characteristic, complemented, Hall |
| 226 | C22×C3 | — | 4 | 1 | no | — |
| 227 | C22×C3 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 228 | C22×C3 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 229 | C22×C3 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 230 | C2×D3 | — | 4 | 1 | no | — |
| 231 | C2×D3 | — | 5 | 2 | no | — |
| 232 | C2×D3 | — | 20 | 1 | no | — |
| 233 | C2×D3 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 234 | C3×C4 | — | 5 | 1 | no | — |
| 235 | C3×C4 | — | 5 | 1 | no | — |
| 236 | C3×C4 | — | 5 | 1 | no | — |
| 237 | C3×C4 | — | 5 | 1 | no | — |
| 238 | Dic3 | — | 5 | 2 | no | — |
| 239 | Dic3 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 240 | C2×C5 | — | 2 | 1 | no | — |
| 241 | C2×C5 | — | 2 | 1 | no | — |
| 242 | C2×C5 | — | 2 | 1 | no | — |
| 243 | C2×C5 | — | 6 | 2 | no | — |
| 244 | C2×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 245 | D5 | — | 6 | 2 | no | — |
| 246 | C23 | — | 3 | 1 | no | — |
| 247 | C23 | — | 15 | 1 | no | — |
| 248 | C23 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 249 | Q8 | — | 15 | 2 | no | — |
| 250 | Q8 | — | 15 | 2 | no | — |
| 251 | D4 | — | 3 | 2 | no | — |
| 252 | D4 | — | 3 | 2 | no | — |
| 253 | D4 | — | 15 | 2 | no | — |
| 254 | D4 | — | 15 | 2 | no | — |
| 255 | D4 | — | 15 | 2 | no | — |
| 256 | D4 | — | 15 | 2 | no | — |
| 257 | C2×C4 | — | 3 | 1 | no | — |
| 258 | C2×C4 | — | 5 | 1 | no | — |
| 259 | C2×C4 | — | 5 | 1 | no | — |
| 260 | C2×C4 | — | 5 | 1 | no | — |
| 261 | C2×C4 | — | 5 | 1 | no | — |
| 262 | C2×C4 | — | 5 | 1 | no | — |
| 263 | C2×C4 | — | 5 | 1 | no | — |
| 264 | C2×C4 | — | 15 | 2 | no | — |
| 265 | C2×C4 | — | 15 | 2 | no | — |
| 266 | C2×C4 | — | 15 | 2 | no | — |
| 267 | C2×C4 | — | 15 | 2 | no | — |
| 268 | C2×C4 | — | 15 | 1 | no | — |
| 269 | C8 | — | 5 | 4 | no | — |
| 270 | C8 | — | 15 | 4 | no | — |
| 271 | C2×C3 | — | 2 | 1 | no | — |
| 272 | C2×C3 | — | 2 | 1 | no | — |
| 273 | C2×C3 | — | 2 | 1 | no | — |
| 274 | C2×C3 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 275 | D3 | — | 2 | 2 | no | — |
| 276 | D3 | — | 10 | 2 | no | — |
| 277 | C5 | #5745 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 278 | C22 | — | 3 | 2 | no | — |
| 279 | C22 | — | 4 | 1 | no | — |
| 280 | C22 | — | 12 | 1 | no | — |
| 281 | C22 | — | 15 | 2 | no | — |
| 282 | C22 | — | 60 | 1 | no | — |
| 283 | C22 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 284 | C22 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 285 | C22 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 286 | C4 | — | 3 | 2 | no | — |
| 287 | C4 | — | 5 | 1 | no | — |
| 288 | C4 | — | 5 | 1 | no | — |
| 289 | C4 | — | 5 | 1 | no | — |
| 290 | C4 | — | 5 | 1 | no | — |
| 291 | C4 | — | 15 | 2 | no | — |
| 292 | C3 | #66256 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 293 | C2 | — | 2 | 1 | no | — |
| 294 | C2 | — | 2 | 1 | no | — |
| 295 | C2 | — | 2 | 1 | no | — |
| 296 | C2 | — | 6 | 2 | no | — |
| 297 | C2 | — | 30 | 2 | no | — |
| 298 | C2 | C22×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta