| 1 | C3×#13658 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×#12068 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#12067 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#7457 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#7390 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#7389 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#7333 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | AGL(1,ℤ/32) | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor, Sylow |
| 9 | C3×#2263 | C4 | 1 | 1 | yes | characteristic |
| 10 | C3×#2179 | C22 | 1 | 1 | yes | characteristic |
| 11 | C3×#2177 | C22 | 1 | 1 | yes | characteristic |
| 12 | C3×#2171 | — | 2 | 1 | no | — |
| 13 | C3×#1580 | — | 2 | 1 | no | — |
| 14 | C3×#1426 | C4 | 1 | 1 | yes | characteristic |
| 15 | C3×#1419 | C4 | 1 | 1 | yes | characteristic |
| 16 | C3×#1418 | C4 | 1 | 1 | yes | characteristic |
| 17 | C3×#1398 | C22 | 1 | 1 | yes | characteristic |
| 18 | C3×#1398 | C22 | 1 | 1 | yes | characteristic |
| 19 | C3×#1369 | C22 | 1 | 1 | yes | characteristic |
| 20 | C3×#1368 | C22 | 1 | 1 | yes | characteristic |
| 21 | C3×#1336 | — | 2 | 1 | no | — |
| 22 | C3×#1333 | — | 2 | 1 | no | — |
| 23 | C3×#1313 | C22 | 1 | 1 | yes | characteristic |
| 24 | #13658 | C2×C3 | 1 | 1 | yes | characteristic |
| 25 | #12068 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 26 | #12067 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 27 | #7457 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 28 | #7390 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 29 | #7389 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 30 | #7333 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 31 | C3×#508 | C2×C4 | 1 | 1 | yes | characteristic |
| 32 | C2×C3×D16 | C2×C4 | 1 | 1 | yes | characteristic |
| 33 | C3×#504 | — | 4 | 1 | no | — |
| 34 | C3×#443 | — | 2 | 1 | no | — |
| 35 | C3×C4×D8 | — | 2 | 1 | no | — |
| 36 | C3×C8×D4 | — | 4 | 1 | no | — |
| 37 | C3×SD64 | C8 | 1 | 2 | yes | complemented |
| 38 | C3×D32 | C8 | 1 | 2 | yes | complemented |
| 39 | C3×M64 | — | 2 | 1 | no | — |
| 40 | C3×M64 | C2×C4 | 1 | 1 | yes | characteristic |
| 41 | C3×M64 | C2×C4 | 1 | 1 | yes | characteristic |
| 42 | C3×#368 | C2×C4 | 1 | 1 | yes | characteristic |
| 43 | C3×#367 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | C3×#364 | — | 2 | 1 | no | — |
| 45 | C3×#359 | — | 2 | 1 | no | — |
| 46 | C3×#357 | — | 2 | 1 | no | — |
| 47 | C3×#350 | — | 4 | 1 | no | — |
| 48 | C3×#346 | D4 | 1 | 1 | yes | characteristic |
| 49 | C3×#346 | C23 | 1 | 1 | yes | characteristic |
| 50 | C3×#334 | — | 2 | 1 | no | — |
| 51 | C3×D4⋊C8 | — | 4 | 1 | no | — |
| 52 | C3×#322 | D4 | 1 | 1 | yes | characteristic |
| 53 | #2263 | C3×C4 | 1 | 1 | yes | characteristic |
| 54 | #2179 | C22×C3 | 1 | 1 | yes | characteristic |
| 55 | #2177 | C22×C3 | 1 | 1 | yes | characteristic |
| 56 | #2171 | — | 2 | 1 | no | — |
| 57 | #1580 | — | 2 | 1 | no | — |
| 58 | #1426 | C3×C4 | 1 | 1 | yes | characteristic |
| 59 | #1419 | C3×C4 | 1 | 1 | yes | characteristic |
| 60 | #1418 | C3×C4 | 1 | 1 | yes | characteristic |
| 61 | #1398 | C22×C3 | 1 | 1 | yes | characteristic |
| 62 | #1398 | C22×C3 | 1 | 1 | yes | characteristic |
| 63 | #1369 | C22×C3 | 1 | 1 | yes | characteristic |
| 64 | #1368 | C22×C3 | 1 | 1 | yes | characteristic |
| 65 | #1336 | — | 2 | 1 | no | — |
| 66 | #1333 | — | 2 | 1 | no | — |
| 67 | #1313 | C22×C3 | 1 | 1 | yes | characteristic |
| 68 | C3×#135 | — | 2 | 1 | no | — |
| 69 | C2×C3×D8 | — | 2 | 1 | no | — |
| 70 | C3×#131 | — | 4 | 1 | no | — |
| 71 | C22×C3×C8 | — | 8 | 1 | no | — |
| 72 | C3×C4×D4 | — | 4 | 1 | no | — |
| 73 | C3×Q32 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 74 | C3×SD32 | — | 2 | 1 | no | — |
| 75 | C3×D16 | — | 2 | 1 | no | — |
| 76 | C3×D16 | C2×C8 | 1 | 2 | yes | — |
| 77 | C3×D16 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 78 | C3×M32 | — | 4 | 1 | no | — |
| 79 | C3×M32 | — | 8 | 1 | no | — |
| 80 | C2×C3×C16 | — | 2 | 1 | no | — |
| 81 | C2×C3×C16 | — | 8 | 1 | no | — |
| 82 | C2×C3×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 83 | C2×C3×C16 | #41 | 1 | 1 | yes | characteristic |
| 84 | C3×#108 | — | 2 | 1 | no | — |
| 85 | C3×#107 | — | 2 | 1 | no | — |
| 86 | C3×C4⋊C8 | — | 4 | 1 | no | — |
| 87 | C3×#104 | — | 4 | 1 | no | — |
| 88 | C3×#102 | — | 4 | 1 | no | — |
| 89 | C3×C22⋊C8 | — | 8 | 1 | no | — |
| 90 | C3×C4×C8 | — | 2 | 1 | no | — |
| 91 | C3×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 92 | C3×C32 | — | 2 | 1 | no | — |
| 93 | C3×C32 | — | 4 | 1 | no | — |
| 94 | C3×C32 | C2×C8 | 1 | 2 | yes | complemented |
| 95 | #508 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 96 | C2×D16 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 97 | #504 | — | 4 | 1 | no | — |
| 98 | #443 | — | 2 | 1 | no | — |
| 99 | C4×D8 | — | 2 | 1 | no | — |
| 100 | C8×D4 | — | 4 | 1 | no | — |
| 101 | SD64 | C3×C8 | 1 | 2 | yes | complemented |
| 102 | D32 | C3×C8 | 1 | 2 | yes | complemented |
| 103 | M64 | — | 2 | 1 | no | — |
| 104 | M64 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 105 | M64 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 106 | #368 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 107 | #367 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 108 | #364 | — | 2 | 1 | no | — |
| 109 | #359 | — | 2 | 1 | no | — |
| 110 | #357 | — | 2 | 1 | no | — |
| 111 | #350 | — | 4 | 1 | no | — |
| 112 | #346 | C3×D4 | 1 | 1 | yes | characteristic |
| 113 | #346 | C23×C3 | 1 | 1 | yes | characteristic |
| 114 | #334 | — | 2 | 1 | no | — |
| 115 | D4⋊C8 | — | 4 | 1 | no | — |
| 116 | #322 | C3×D4 | 1 | 1 | yes | characteristic |
| 117 | C3×#41 | — | 4 | 1 | no | — |
| 118 | C2×C3×D4 | — | 4 | 1 | no | — |
| 119 | C22×C3×C4 | — | 8 | 1 | no | — |
| 120 | C3×Q16 | — | 2 | 1 | no | — |
| 121 | C3×SD16 | — | 4 | 1 | no | — |
| 122 | C3×D8 | — | 2 | 2 | no | — |
| 123 | C3×D8 | — | 2 | 1 | no | — |
| 124 | C3×D8 | — | 4 | 1 | no | — |
| 125 | C3×M16 | — | 4 | 1 | no | — |
| 126 | C3×M16 | — | 8 | 1 | no | — |
| 127 | C2×C3×C8 | — | 4 | 1 | no | — |
| 128 | C2×C3×C8 | — | 8 | 1 | no | — |
| 129 | C2×C3×C8 | — | 8 | 1 | no | — |
| 130 | C2×C3×C8 | — | 16 | 2 | no | — |
| 131 | C2×C3×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 132 | C2×C3×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 133 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 134 | C3×C22⋊C4 | — | 8 | 1 | no | — |
| 135 | C3×C42 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 136 | C3×C16 | — | 2 | 1 | no | — |
| 137 | C3×C16 | — | 4 | 1 | no | — |
| 138 | C3×C16 | — | 8 | 1 | no | — |
| 139 | C3×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 140 | C3×C16 | #131 | 1 | 1 | yes | characteristic |
| 141 | #135 | — | 2 | 1 | no | — |
| 142 | C2×D8 | — | 2 | 1 | no | — |
| 143 | #131 | — | 4 | 1 | no | — |
| 144 | C22×C8 | — | 8 | 1 | no | — |
| 145 | C4×D4 | — | 4 | 1 | no | — |
| 146 | Q32 | C2×C3×C8 | 1 | 1 | yes | characteristic, complemented |
| 147 | SD32 | — | 2 | 1 | no | — |
| 148 | D16 | — | 2 | 1 | no | — |
| 149 | D16 | C2×C3×C8 | 1 | 2 | yes | — |
| 150 | D16 | C2×C3×C8 | 1 | 1 | yes | characteristic, complemented |
| 151 | M32 | — | 4 | 1 | no | — |
| 152 | M32 | — | 8 | 1 | no | — |
| 153 | C2×C16 | — | 2 | 1 | no | — |
| 154 | C2×C16 | — | 8 | 1 | no | — |
| 155 | C2×C16 | C22×C3×C4 | 1 | 1 | yes | characteristic |
| 156 | C2×C16 | C3×#41 | 1 | 1 | yes | characteristic |
| 157 | #108 | — | 2 | 1 | no | — |
| 158 | #107 | — | 2 | 1 | no | — |
| 159 | C4⋊C8 | — | 4 | 1 | no | — |
| 160 | #104 | — | 4 | 1 | no | — |
| 161 | #102 | — | 4 | 1 | no | — |
| 162 | C22⋊C8 | — | 8 | 1 | no | — |
| 163 | C4×C8 | — | 2 | 1 | no | — |
| 164 | C4×C8 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 165 | C32 | — | 2 | 1 | no | — |
| 166 | C32 | — | 4 | 1 | no | — |
| 167 | C32 | C2×C3×C8 | 1 | 2 | yes | complemented |
| 168 | C23×C3 | — | 8 | 1 | no | — |
| 169 | C3×Q8 | — | 4 | 1 | no | — |
| 170 | C3×D4 | — | 4 | 2 | no | — |
| 171 | C3×D4 | — | 4 | 1 | no | — |
| 172 | C3×D4 | — | 8 | 1 | no | — |
| 173 | C3×D4 | — | 8 | 1 | no | — |
| 174 | C2×C3×C4 | — | 2 | 1 | no | — |
| 175 | C2×C3×C4 | — | 8 | 1 | no | — |
| 176 | C2×C3×C4 | — | 8 | 1 | no | — |
| 177 | C2×C3×C4 | — | 16 | 1 | no | — |
| 178 | C2×C3×C4 | — | 16 | 1 | no | — |
| 179 | C2×C3×C4 | #442 | 1 | 1 | yes | characteristic |
| 180 | C3×C8 | — | 2 | 1 | no | — |
| 181 | C3×C8 | — | 8 | 1 | no | — |
| 182 | C3×C8 | — | 8 | 1 | no | — |
| 183 | C3×C8 | — | 16 | 1 | no | — |
| 184 | C3×C8 | C8×D4 | 1 | 1 | yes | characteristic |
| 185 | C3×C8 | #444 | 1 | 1 | yes | characteristic |
| 186 | #41 | — | 4 | 1 | no | — |
| 187 | C2×D4 | — | 4 | 1 | no | — |
| 188 | C22×C4 | — | 8 | 1 | no | — |
| 189 | Q16 | — | 2 | 1 | no | — |
| 190 | SD16 | — | 4 | 1 | no | — |
| 191 | D8 | — | 2 | 2 | no | — |
| 192 | D8 | — | 2 | 1 | no | — |
| 193 | D8 | — | 4 | 1 | no | — |
| 194 | M16 | — | 4 | 1 | no | — |
| 195 | M16 | — | 8 | 1 | no | — |
| 196 | C2×C8 | — | 4 | 1 | no | — |
| 197 | C2×C8 | — | 8 | 1 | no | — |
| 198 | C2×C8 | — | 8 | 1 | no | — |
| 199 | C2×C8 | — | 16 | 2 | no | — |
| 200 | C2×C8 | C3×C4×D4 | 1 | 1 | yes | characteristic |
| 201 | C2×C8 | C3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 202 | C4⋊C4 | — | 4 | 1 | no | — |
| 203 | C22⋊C4 | — | 8 | 1 | no | — |
| 204 | C42 | C3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 205 | C16 | — | 2 | 1 | no | — |
| 206 | C16 | — | 4 | 1 | no | — |
| 207 | C16 | — | 8 | 1 | no | — |
| 208 | C16 | C22×C3×C8 | 1 | 1 | yes | characteristic |
| 209 | C16 | C3×#131 | 1 | 1 | yes | characteristic |
| 210 | C22×C3 | — | 8 | 1 | no | — |
| 211 | C22×C3 | — | 8 | 2 | no | — |
| 212 | C22×C3 | — | 16 | 1 | no | — |
| 213 | C22×C3 | — | 16 | 1 | no | — |
| 214 | C22×C3 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 215 | C3×C4 | — | 4 | 1 | no | — |
| 216 | C3×C4 | — | 8 | 1 | no | — |
| 217 | C3×C4 | — | 16 | 1 | no | — |
| 218 | C3×C4 | #1580 | 1 | 1 | yes | characteristic |
| 219 | C3×C4 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 220 | C23 | — | 8 | 1 | no | — |
| 221 | Q8 | — | 4 | 1 | no | — |
| 222 | D4 | — | 4 | 2 | no | — |
| 223 | D4 | — | 4 | 1 | no | — |
| 224 | D4 | — | 8 | 1 | no | — |
| 225 | D4 | — | 8 | 1 | no | — |
| 226 | C2×C4 | — | 2 | 1 | no | — |
| 227 | C2×C4 | — | 8 | 1 | no | — |
| 228 | C2×C4 | — | 8 | 1 | no | — |
| 229 | C2×C4 | — | 16 | 1 | no | — |
| 230 | C2×C4 | — | 16 | 1 | no | — |
| 231 | C2×C4 | C3×#442 | 1 | 1 | yes | characteristic |
| 232 | C8 | — | 2 | 1 | no | — |
| 233 | C8 | — | 8 | 1 | no | — |
| 234 | C8 | — | 8 | 1 | no | — |
| 235 | C8 | — | 16 | 1 | no | — |
| 236 | C8 | C3×C8×D4 | 1 | 1 | yes | characteristic |
| 237 | C8 | C3×#444 | 1 | 1 | yes | characteristic |
| 238 | C2×C3 | — | 2 | 1 | no | — |
| 239 | C2×C3 | — | 16 | 1 | no | — |
| 240 | C2×C3 | — | 16 | 2 | no | — |
| 241 | C2×C3 | #12067 | 1 | 1 | yes | characteristic |
| 242 | C22 | — | 8 | 1 | no | — |
| 243 | C22 | — | 8 | 2 | no | — |
| 244 | C22 | — | 16 | 1 | no | — |
| 245 | C22 | — | 16 | 1 | no | — |
| 246 | C22 | C3×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 247 | C4 | — | 4 | 1 | no | — |
| 248 | C4 | — | 8 | 1 | no | — |
| 249 | C4 | — | 16 | 1 | no | — |
| 250 | C4 | C3×#1580 | 1 | 1 | yes | characteristic |
| 251 | C4 | C3×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 252 | C3 | AGL(1,ℤ/32) | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 253 | C2 | — | 2 | 1 | no | — |
| 254 | C2 | — | 16 | 2 | no | — |
| 255 | C2 | — | 16 | 1 | no | — |
| 256 | C2 | C3×#12067 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta