| 1 | C2×#361×C113 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×#361×C113 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C113×#2110 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C113×#1978 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C113×#1953 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C113×#1388 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C113×#1388 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C22×D8×C113 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×M32×C113 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×M32×C113 | C22 | 1 | 1 | yes | characteristic |
| 11 | #430×C113 | — | 2 | 1 | no | — |
| 12 | C2×#108×C113 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#108×C113 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#108×C113 | C22 | 1 | 1 | yes | characteristic |
| 15 | #418×C113 | — | 2 | 1 | no | — |
| 16 | C2×#100×C113 | — | 2 | 1 | no | — |
| 17 | #405×C113 | C22 | 1 | 1 | yes | characteristic |
| 18 | #361×C113 | — | 2 | 2 | no | — |
| 19 | #361×C113 | C4 | 1 | 4 | yes | complemented |
| 20 | #347×C113 | — | 2 | 2 | no | — |
| 21 | #344×C113 | — | 2 | 1 | no | — |
| 22 | C22×D4×C113 | — | 2 | 1 | no | — |
| 23 | C2×D8×C113 | — | 2 | 1 | no | — |
| 24 | C2×D8×C113 | — | 2 | 1 | no | — |
| 25 | C2×D8×C113 | — | 2 | 1 | no | — |
| 26 | C2×D8×C113 | — | 2 | 1 | no | — |
| 27 | C2×D8×C113 | — | 2 | 1 | no | — |
| 28 | C2×D8×C113 | C2×C4 | 1 | 2 | yes | — |
| 29 | C2×M16×C113 | — | 2 | 1 | no | — |
| 30 | C2×M16×C113 | — | 2 | 1 | no | — |
| 31 | C2×M16×C113 | — | 2 | 1 | no | — |
| 32 | C2×M16×C113 | D4 | 1 | 1 | yes | characteristic |
| 33 | C22×C8×C113 | C23 | 1 | 1 | yes | characteristic |
| 34 | #117×C113 | D4 | 1 | 1 | yes | characteristic |
| 35 | M32×C113 | — | 2 | 1 | no | — |
| 36 | M32×C113 | — | 2 | 1 | no | — |
| 37 | M32×C113 | C2×C4 | 1 | 2 | yes | — |
| 38 | M32×C113 | D4 | 1 | 2 | yes | — |
| 39 | C2×C16×C113 | — | 2 | 1 | no | — |
| 40 | C2×C16×C113 | — | 2 | 1 | no | — |
| 41 | #108×C113 | — | 2 | 1 | no | — |
| 42 | #108×C113 | — | 2 | 1 | no | — |
| 43 | #108×C113 | — | 2 | 1 | no | — |
| 44 | #108×C113 | — | 2 | 1 | no | — |
| 45 | #108×C113 | — | 2 | 1 | no | — |
| 46 | #108×C113 | — | 4 | 2 | no | — |
| 47 | #108×C113 | C2×C4 | 1 | 2 | yes | — |
| 48 | #102×C113 | — | 4 | 2 | no | — |
| 49 | #100×C113 | — | 4 | 2 | no | — |
| 50 | #97×C113 | — | 2 | 1 | no | — |
| 51 | C4×C8×C113 | — | 2 | 1 | no | — |
| 52 | C24×C113 | — | 4 | 1 | no | — |
| 53 | C2×D4×C113 | — | 2 | 2 | no | — |
| 54 | C2×D4×C113 | — | 4 | 1 | no | — |
| 55 | C2×D4×C113 | — | 4 | 1 | no | — |
| 56 | C2×D4×C113 | — | 4 | 1 | no | — |
| 57 | C2×D4×C113 | — | 4 | 1 | no | — |
| 58 | C2×D4×C113 | — | 4 | 1 | no | — |
| 59 | C22×C4×C113 | C2×D4 | 1 | 1 | yes | characteristic |
| 60 | D8×C113 | — | 2 | 2 | no | — |
| 61 | D8×C113 | — | 2 | 2 | no | — |
| 62 | D8×C113 | — | 4 | 1 | no | — |
| 63 | D8×C113 | — | 4 | 1 | no | — |
| 64 | M16×C113 | — | 2 | 2 | no | — |
| 65 | M16×C113 | — | 2 | 1 | no | — |
| 66 | M16×C113 | — | 2 | 1 | no | — |
| 67 | M16×C113 | — | 4 | 1 | no | — |
| 68 | M16×C113 | — | 4 | 1 | no | — |
| 69 | M16×C113 | — | 4 | 1 | no | — |
| 70 | M16×C113 | — | 4 | 1 | no | — |
| 71 | M16×C113 | — | 4 | 1 | no | — |
| 72 | C2×C8×C113 | — | 2 | 1 | no | — |
| 73 | C2×C8×C113 | — | 4 | 1 | no | — |
| 74 | C2×C8×C113 | — | 4 | 1 | no | — |
| 75 | C2×C8×C113 | — | 4 | 1 | no | — |
| 76 | C2×C8×C113 | C22×C4 | 1 | 1 | yes | characteristic |
| 77 | C2×C8×C113 | C2×D4 | 1 | 1 | yes | characteristic |
| 78 | C2×C8×C113 | #41 | 1 | 1 | yes | characteristic |
| 79 | C2×C8×C113 | #41 | 1 | 1 | yes | characteristic |
| 80 | C2×C8×C113 | #41 | 1 | 1 | yes | characteristic |
| 81 | C2×C8×C113 | #41 | 1 | 1 | yes | characteristic |
| 82 | C4⋊C4×C113 | — | 2 | 1 | no | — |
| 83 | C22⋊C4×C113 | — | 2 | 1 | no | — |
| 84 | C42×C113 | — | 2 | 1 | no | — |
| 85 | C16×C113 | — | 2 | 2 | no | — |
| 86 | C16×C113 | — | 2 | 2 | no | — |
| 87 | C23×C113 | — | 4 | 2 | no | — |
| 88 | C23×C113 | — | 8 | 1 | no | — |
| 89 | C23×C113 | — | 8 | 1 | no | — |
| 90 | C23×C113 | — | 16 | 2 | no | — |
| 91 | C23×C113 | #137 | 1 | 1 | yes | characteristic |
| 92 | D4×C113 | — | 4 | 2 | no | — |
| 93 | D4×C113 | — | 4 | 2 | no | — |
| 94 | D4×C113 | — | 8 | 1 | no | — |
| 95 | D4×C113 | — | 8 | 1 | no | — |
| 96 | C2×C4×C113 | — | 4 | 1 | no | — |
| 97 | C2×C4×C113 | C4×D4 | 1 | 1 | yes | characteristic |
| 98 | C2×C4×C113 | #121 | 1 | 1 | yes | characteristic |
| 99 | C2×C4×C113 | #124 | 1 | 1 | yes | characteristic |
| 100 | C2×C4×C113 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 101 | C2×C4×C113 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 102 | C2×C4×C113 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 103 | C8×C113 | — | 4 | 2 | no | — |
| 104 | C8×C113 | — | 4 | 1 | no | — |
| 105 | C8×C113 | — | 8 | 1 | no | — |
| 106 | C8×C113 | — | 8 | 1 | no | — |
| 107 | C8×C113 | #117 | 1 | 1 | yes | characteristic |
| 108 | C8×C113 | C4×D4 | 1 | 1 | yes | characteristic |
| 109 | C8×C113 | #123 | 1 | 1 | yes | characteristic |
| 110 | C8×C113 | #126 | 1 | 1 | yes | characteristic |
| 111 | C22×C113 | — | 4 | 1 | no | — |
| 112 | C22×C113 | — | 8 | 2 | no | — |
| 113 | C22×C113 | — | 16 | 2 | no | — |
| 114 | C22×C113 | — | 16 | 2 | no | — |
| 115 | C22×C113 | — | 16 | 2 | no | — |
| 116 | C22×C113 | #440 | 1 | 1 | yes | characteristic |
| 117 | C22×C113 | #468 | 1 | 1 | yes | characteristic |
| 118 | C22×C113 | #489 | 1 | 1 | yes | characteristic |
| 119 | C4×C113 | — | 8 | 1 | no | — |
| 120 | C4×C113 | #388 | 1 | 1 | yes | characteristic |
| 121 | C4×C113 | #442 | 1 | 1 | yes | characteristic |
| 122 | C4×C113 | #469 | 1 | 1 | yes | characteristic |
| 123 | C4×C113 | #490 | 1 | 1 | yes | characteristic |
| 124 | #13158 | C113 | 1 | 1 | yes | maximal, characteristic, direct product factor, Sylow |
| 125 | C2×C113 | — | 2 | 1 | no | — |
| 126 | C2×C113 | — | 2 | 1 | no | — |
| 127 | C2×C113 | — | 2 | 1 | no | — |
| 128 | C2×C113 | — | 16 | 2 | no | — |
| 129 | C2×C113 | #1936 | 1 | 1 | yes | characteristic |
| 130 | C2×#361 | C2×C113 | 1 | 1 | yes | characteristic |
| 131 | C2×#361 | C2×C113 | 1 | 1 | yes | characteristic |
| 132 | #2110 | C2×C113 | 1 | 1 | yes | characteristic, complemented |
| 133 | #1978 | C2×C113 | 1 | 1 | yes | characteristic |
| 134 | #1953 | C2×C113 | 1 | 1 | yes | characteristic, complemented |
| 135 | #1388 | C2×C113 | 1 | 1 | yes | characteristic, complemented |
| 136 | #1388 | C2×C113 | 1 | 1 | yes | characteristic, complemented |
| 137 | C113 | #13158 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 138 | C22×D8 | C22×C113 | 1 | 1 | yes | characteristic |
| 139 | C2×M32 | C22×C113 | 1 | 1 | yes | characteristic |
| 140 | C2×M32 | C22×C113 | 1 | 1 | yes | characteristic |
| 141 | #430 | — | 2 | 1 | no | — |
| 142 | C2×#108 | C22×C113 | 1 | 1 | yes | characteristic |
| 143 | C2×#108 | C22×C113 | 1 | 1 | yes | characteristic |
| 144 | C2×#108 | C22×C113 | 1 | 1 | yes | characteristic |
| 145 | #418 | — | 2 | 1 | no | — |
| 146 | C2×#100 | — | 2 | 1 | no | — |
| 147 | #405 | C22×C113 | 1 | 1 | yes | characteristic |
| 148 | #361 | — | 2 | 2 | no | — |
| 149 | #361 | C4×C113 | 1 | 4 | yes | complemented |
| 150 | #347 | — | 2 | 2 | no | — |
| 151 | #344 | — | 2 | 1 | no | — |
| 152 | C22×D4 | — | 2 | 1 | no | — |
| 153 | C2×D8 | — | 2 | 1 | no | — |
| 154 | C2×D8 | — | 2 | 1 | no | — |
| 155 | C2×D8 | — | 2 | 1 | no | — |
| 156 | C2×D8 | — | 2 | 1 | no | — |
| 157 | C2×D8 | — | 2 | 1 | no | — |
| 158 | C2×D8 | C2×C4×C113 | 1 | 2 | yes | — |
| 159 | C2×M16 | — | 2 | 1 | no | — |
| 160 | C2×M16 | — | 2 | 1 | no | — |
| 161 | C2×M16 | — | 2 | 1 | no | — |
| 162 | C2×M16 | D4×C113 | 1 | 1 | yes | characteristic |
| 163 | C22×C8 | C23×C113 | 1 | 1 | yes | characteristic |
| 164 | #117 | D4×C113 | 1 | 1 | yes | characteristic |
| 165 | M32 | — | 2 | 1 | no | — |
| 166 | M32 | — | 2 | 1 | no | — |
| 167 | M32 | C2×C4×C113 | 1 | 2 | yes | — |
| 168 | M32 | D4×C113 | 1 | 2 | yes | — |
| 169 | C2×C16 | — | 2 | 1 | no | — |
| 170 | C2×C16 | — | 2 | 1 | no | — |
| 171 | #108 | — | 2 | 1 | no | — |
| 172 | #108 | — | 2 | 1 | no | — |
| 173 | #108 | — | 2 | 1 | no | — |
| 174 | #108 | — | 2 | 1 | no | — |
| 175 | #108 | — | 2 | 1 | no | — |
| 176 | #108 | — | 4 | 2 | no | — |
| 177 | #108 | C2×C4×C113 | 1 | 2 | yes | — |
| 178 | #102 | — | 4 | 2 | no | — |
| 179 | #100 | — | 4 | 2 | no | — |
| 180 | #97 | — | 2 | 1 | no | — |
| 181 | C4×C8 | — | 2 | 1 | no | — |
| 182 | C24 | — | 4 | 1 | no | — |
| 183 | C2×D4 | — | 2 | 2 | no | — |
| 184 | C2×D4 | — | 4 | 1 | no | — |
| 185 | C2×D4 | — | 4 | 1 | no | — |
| 186 | C2×D4 | — | 4 | 1 | no | — |
| 187 | C2×D4 | — | 4 | 1 | no | — |
| 188 | C2×D4 | — | 4 | 1 | no | — |
| 189 | C22×C4 | C2×D4×C113 | 1 | 1 | yes | characteristic |
| 190 | D8 | — | 2 | 2 | no | — |
| 191 | D8 | — | 2 | 2 | no | — |
| 192 | D8 | — | 4 | 1 | no | — |
| 193 | D8 | — | 4 | 1 | no | — |
| 194 | M16 | — | 2 | 2 | no | — |
| 195 | M16 | — | 2 | 1 | no | — |
| 196 | M16 | — | 2 | 1 | no | — |
| 197 | M16 | — | 4 | 1 | no | — |
| 198 | M16 | — | 4 | 1 | no | — |
| 199 | M16 | — | 4 | 1 | no | — |
| 200 | M16 | — | 4 | 1 | no | — |
| 201 | M16 | — | 4 | 1 | no | — |
| 202 | C2×C8 | — | 2 | 1 | no | — |
| 203 | C2×C8 | — | 4 | 1 | no | — |
| 204 | C2×C8 | — | 4 | 1 | no | — |
| 205 | C2×C8 | — | 4 | 1 | no | — |
| 206 | C2×C8 | C22×C4×C113 | 1 | 1 | yes | characteristic |
| 207 | C2×C8 | C2×D4×C113 | 1 | 1 | yes | characteristic |
| 208 | C2×C8 | #41×C113 | 1 | 1 | yes | characteristic |
| 209 | C2×C8 | #41×C113 | 1 | 1 | yes | characteristic |
| 210 | C2×C8 | #41×C113 | 1 | 1 | yes | characteristic |
| 211 | C2×C8 | #41×C113 | 1 | 1 | yes | characteristic |
| 212 | C4⋊C4 | — | 2 | 1 | no | — |
| 213 | C22⋊C4 | — | 2 | 1 | no | — |
| 214 | C42 | — | 2 | 1 | no | — |
| 215 | C16 | — | 2 | 2 | no | — |
| 216 | C16 | — | 2 | 2 | no | — |
| 217 | C23 | — | 4 | 2 | no | — |
| 218 | C23 | — | 8 | 1 | no | — |
| 219 | C23 | — | 8 | 1 | no | — |
| 220 | C23 | — | 16 | 2 | no | — |
| 221 | C23 | #137×C113 | 1 | 1 | yes | characteristic |
| 222 | D4 | — | 4 | 2 | no | — |
| 223 | D4 | — | 4 | 2 | no | — |
| 224 | D4 | — | 8 | 1 | no | — |
| 225 | D4 | — | 8 | 1 | no | — |
| 226 | C2×C4 | — | 4 | 1 | no | — |
| 227 | C2×C4 | C4×D4×C113 | 1 | 1 | yes | characteristic |
| 228 | C2×C4 | #121×C113 | 1 | 1 | yes | characteristic |
| 229 | C2×C4 | #124×C113 | 1 | 1 | yes | characteristic |
| 230 | C2×C4 | AGL(1,ℤ/8)×C113 | 1 | 1 | yes | characteristic |
| 231 | C2×C4 | AGL(1,ℤ/8)×C113 | 1 | 1 | yes | characteristic |
| 232 | C2×C4 | AGL(1,ℤ/8)×C113 | 1 | 1 | yes | characteristic |
| 233 | C8 | — | 4 | 2 | no | — |
| 234 | C8 | — | 4 | 1 | no | — |
| 235 | C8 | — | 8 | 1 | no | — |
| 236 | C8 | — | 8 | 1 | no | — |
| 237 | C8 | #117×C113 | 1 | 1 | yes | characteristic |
| 238 | C8 | C4×D4×C113 | 1 | 1 | yes | characteristic |
| 239 | C8 | #123×C113 | 1 | 1 | yes | characteristic |
| 240 | C8 | #126×C113 | 1 | 1 | yes | characteristic |
| 241 | C22 | — | 4 | 1 | no | — |
| 242 | C22 | — | 8 | 2 | no | — |
| 243 | C22 | — | 16 | 2 | no | — |
| 244 | C22 | — | 16 | 2 | no | — |
| 245 | C22 | — | 16 | 2 | no | — |
| 246 | C22 | #440×C113 | 1 | 1 | yes | characteristic |
| 247 | C22 | #468×C113 | 1 | 1 | yes | characteristic |
| 248 | C22 | #489×C113 | 1 | 1 | yes | characteristic |
| 249 | C4 | — | 8 | 1 | no | — |
| 250 | C4 | #388×C113 | 1 | 1 | yes | characteristic |
| 251 | C4 | #442×C113 | 1 | 1 | yes | characteristic |
| 252 | C4 | #469×C113 | 1 | 1 | yes | characteristic |
| 253 | C4 | #490×C113 | 1 | 1 | yes | characteristic |
| 254 | C2 | — | 2 | 1 | no | — |
| 255 | C2 | — | 2 | 1 | no | — |
| 256 | C2 | — | 2 | 1 | no | — |
| 257 | C2 | — | 16 | 2 | no | — |
| 258 | C2 | C113×#1936 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta