| 1 | #11755299 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11752450 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#65791 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11751742 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #11751741 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #11751740 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | C2×#91164 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | D5⋊#504 | — | 3 | 1 | no | maximal, Hall |
| 9 | #41×D15 | C4 | 1 | 1 | yes | characteristic |
| 10 | C5×#948 | C4 | 1 | 1 | yes | characteristic |
| 11 | C3×#4094 | C22 | 1 | 1 | yes | characteristic |
| 12 | #91292 | C4 | 1 | 3 | yes | — |
| 13 | #91291 | C4 | 1 | 3 | yes | — |
| 14 | #91290 | C22 | 1 | 3 | yes | — |
| 15 | C2×#6648 | C22 | 1 | 3 | yes | — |
| 16 | #91227 | C22 | 1 | 3 | yes | complemented |
| 17 | C2×C3⋊#674 | C22 | 1 | 3 | yes | complemented |
| 18 | C3×#3998 | C22 | 1 | 3 | yes | complemented |
| 19 | C2×C3×#674 | C22 | 1 | 3 | yes | complemented |
| 20 | #91166 | C22 | 1 | 6 | yes | complemented |
| 21 | #91164 | C22 | 1 | 1 | yes | characteristic |
| 22 | #91164 | C22 | 1 | 3 | yes | — |
| 23 | #91164 | C22 | 1 | 3 | yes | complemented |
| 24 | #91164 | C22 | 1 | 3 | yes | complemented |
| 25 | D3×#504 | — | 5 | 1 | no | maximal, Hall |
| 26 | D5×#131 | — | 3 | 1 | no | — |
| 27 | #65791 | — | 3 | 1 | no | — |
| 28 | #65791 | D3 | 1 | 1 | yes | characteristic, complemented |
| 29 | #65725 | — | 3 | 3 | no | — |
| 30 | #65725 | — | 3 | 3 | no | — |
| 31 | D5⋊M32 | — | 3 | 3 | no | — |
| 32 | C2×D5⋊C16 | — | 3 | 3 | no | — |
| 33 | C3×C5×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 34 | #6821 | C8 | 1 | 1 | yes | characteristic |
| 35 | Q8×D15 | C8 | 1 | 1 | yes | characteristic |
| 36 | #6819 | C8 | 1 | 3 | yes | — |
| 37 | D4×D15 | C8 | 1 | 3 | yes | — |
| 38 | #6817 | C2×C4 | 1 | 3 | yes | — |
| 39 | C2×C4×D15 | C2×C4 | 1 | 3 | yes | — |
| 40 | C5×#208 | C2×C4 | 1 | 3 | yes | — |
| 41 | C2×C5×C3⋊C8 | C2×C4 | 1 | 3 | yes | — |
| 42 | C3×#681 | C2×C4 | 1 | 3 | yes | — |
| 43 | C2×C3×#168 | C23 | 1 | 3 | yes | — |
| 44 | #6651 | C2×C4 | 1 | 6 | yes | — |
| 45 | #6648 | C2×C4 | 1 | 3 | yes | — |
| 46 | #6648 | C2×C4 | 1 | 3 | yes | — |
| 47 | #6648 | C23 | 1 | 1 | yes | characteristic |
| 48 | #6648 | C23 | 1 | 3 | yes | — |
| 49 | C3⋊#674 | C23 | 1 | 1 | yes | characteristic |
| 50 | C3⋊#674 | C23 | 1 | 3 | yes | — |
| 51 | C3×#674 | C23 | 1 | 1 | yes | characteristic |
| 52 | C3×#674 | C23 | 1 | 3 | yes | — |
| 53 | D3×#131 | — | 5 | 1 | no | — |
| 54 | C3×#504 | — | 5 | 1 | no | — |
| 55 | #5140 | — | 5 | 1 | no | — |
| 56 | #4907 | — | 5 | 3 | no | — |
| 57 | D3×M32 | — | 5 | 3 | no | — |
| 58 | #4901 | — | 5 | 3 | no | — |
| 59 | C2×D3×C16 | — | 5 | 3 | no | — |
| 60 | D5×#41 | — | 3 | 1 | no | — |
| 61 | C5×#131 | — | 3 | 1 | no | — |
| 62 | #4094 | C2×D3 | 1 | 1 | yes | characteristic |
| 63 | #4053 | — | 3 | 3 | no | — |
| 64 | D5×M16 | — | 3 | 3 | no | — |
| 65 | #4047 | — | 3 | 3 | no | — |
| 66 | C2×C8×D5 | — | 3 | 3 | no | — |
| 67 | #3998 | — | 3 | 3 | no | — |
| 68 | #3998 | C2×D3 | 1 | 3 | yes | complemented |
| 69 | C2×#674 | — | 3 | 3 | no | — |
| 70 | C2×#674 | C2×D3 | 1 | 3 | yes | complemented |
| 71 | #3990 | — | 3 | 6 | no | — |
| 72 | D5⋊C16 | — | 3 | 1 | no | — |
| 73 | D5⋊C16 | — | 3 | 3 | no | — |
| 74 | D5⋊C16 | — | 3 | 3 | no | — |
| 75 | D5⋊C16 | — | 3 | 3 | no | — |
| 76 | C2×#504 | — | 15 | 1 | no | Sylow |
| 77 | C22×D15 | C2×C8 | 1 | 3 | yes | — |
| 78 | C3×C5×Q8 | C2×C8 | 1 | 1 | yes | characteristic |
| 79 | C3×C5×D4 | C2×C8 | 1 | 3 | yes | — |
| 80 | C2×C3×C4×C5 | C22×C4 | 1 | 3 | yes | — |
| 81 | #1220 | C2×C8 | 1 | 6 | yes | — |
| 82 | C2×Dic15 | C2×C8 | 1 | 3 | yes | — |
| 83 | D60 | C2×C8 | 1 | 3 | yes | — |
| 84 | C4×D15 | C2×C8 | 1 | 3 | yes | — |
| 85 | C4×D15 | C2×C8 | 1 | 3 | yes | — |
| 86 | C4×D15 | C22×C4 | 1 | 1 | yes | characteristic |
| 87 | C4×D15 | C22×C4 | 1 | 3 | yes | — |
| 88 | Dic30 | C2×C8 | 1 | 3 | yes | — |
| 89 | C3×#168 | C22×C4 | 1 | 3 | yes | — |
| 90 | C3×#168 | C24 | 1 | 1 | yes | characteristic |
| 91 | C5×C3⋊C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 92 | C5×C3⋊C8 | C22×C4 | 1 | 3 | yes | — |
| 93 | D3×#41 | — | 5 | 1 | no | — |
| 94 | C3×#131 | — | 5 | 1 | no | — |
| 95 | #948 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 96 | #907 | — | 5 | 3 | no | — |
| 97 | D3×M16 | — | 5 | 3 | no | — |
| 98 | #901 | — | 5 | 3 | no | — |
| 99 | C2×D3×C8 | — | 5 | 3 | no | — |
| 100 | C3×M32 | — | 5 | 3 | no | — |
| 101 | C2×C3×C16 | — | 5 | 3 | no | — |
| 102 | #812 | — | 5 | 3 | no | — |
| 103 | C2×C3⋊C16 | — | 5 | 3 | no | — |
| 104 | #798 | — | 5 | 6 | no | — |
| 105 | D3×C16 | — | 5 | 1 | no | — |
| 106 | D3×C16 | — | 5 | 3 | no | — |
| 107 | D3×C16 | — | 5 | 3 | no | — |
| 108 | D3×C16 | — | 5 | 3 | no | — |
| 109 | C5×#41 | C4×D3 | 1 | 1 | yes | characteristic |
| 110 | #713 | — | 3 | 1 | no | — |
| 111 | Q8×D5 | — | 3 | 1 | no | — |
| 112 | #711 | — | 3 | 3 | no | — |
| 113 | D4×D5 | — | 3 | 3 | no | — |
| 114 | #709 | — | 3 | 3 | no | — |
| 115 | C2×C4×D5 | — | 3 | 3 | no | — |
| 116 | C5×M16 | — | 3 | 3 | no | — |
| 117 | C2×C5×C8 | — | 3 | 3 | no | — |
| 118 | #681 | C4×D3 | 1 | 3 | yes | — |
| 119 | C2×#168 | C22×D3 | 1 | 3 | yes | — |
| 120 | #676 | — | 3 | 6 | no | — |
| 121 | C8×D5 | — | 3 | 3 | no | — |
| 122 | C8×D5 | — | 3 | 3 | no | — |
| 123 | C8×D5 | — | 3 | 1 | no | — |
| 124 | C8×D5 | — | 3 | 3 | no | — |
| 125 | #674 | — | 3 | 1 | no | — |
| 126 | #674 | — | 3 | 3 | no | — |
| 127 | #674 | C22×D3 | 1 | 1 | yes | characteristic |
| 128 | #674 | C22×D3 | 1 | 3 | yes | — |
| 129 | C2×#131 | — | 15 | 1 | no | — |
| 130 | #504 | — | 5 | 1 | no | — |
| 131 | #504 | — | 15 | 3 | no | — |
| 132 | #504 | — | 15 | 3 | no | — |
| 133 | #504 | — | 15 | 1 | no | — |
| 134 | C2×M32 | — | 15 | 3 | no | — |
| 135 | C22×C16 | — | 15 | 3 | no | — |
| 136 | C22×C3×C5 | C22×C8 | 1 | 3 | yes | — |
| 137 | C2×D15 | — | 2 | 6 | no | — |
| 138 | C2×D15 | C22×C8 | 1 | 3 | yes | — |
| 139 | C2×D15 | C22×C8 | 1 | 1 | yes | characteristic |
| 140 | C3×C4×C5 | C22×C8 | 1 | 3 | yes | — |
| 141 | C3×C4×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 142 | Dic15 | C22×C8 | 1 | 3 | yes | — |
| 143 | Dic15 | C22×C8 | 1 | 1 | yes | characteristic |
| 144 | C3×#41 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 145 | #239 | — | 5 | 1 | no | — |
| 146 | D3×Q8 | — | 5 | 1 | no | — |
| 147 | #237 | — | 5 | 3 | no | — |
| 148 | D3×D4 | — | 5 | 3 | no | — |
| 149 | #235 | — | 5 | 3 | no | — |
| 150 | C2×C4×D3 | — | 5 | 3 | no | — |
| 151 | C3×M16 | — | 5 | 3 | no | — |
| 152 | C2×C3×C8 | — | 5 | 3 | no | — |
| 153 | #208 | C2×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 154 | C2×C3⋊C8 | C2×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 155 | ΓL(1,𝔽25) | — | 5 | 6 | no | — |
| 156 | D3×C8 | — | 5 | 1 | no | — |
| 157 | D3×C8 | — | 5 | 3 | no | — |
| 158 | D3×C8 | — | 5 | 3 | no | — |
| 159 | D3×C8 | — | 5 | 3 | no | — |
| 160 | C3×C16 | — | 5 | 1 | no | — |
| 161 | C3×C16 | — | 5 | 3 | no | — |
| 162 | C3⋊C16 | — | 5 | 1 | no | — |
| 163 | C3⋊C16 | — | 5 | 3 | no | — |
| 164 | C22×D5 | — | 3 | 3 | no | — |
| 165 | C5×Q8 | D3×C8 | 1 | 1 | yes | characteristic |
| 166 | C5×D4 | D3×C8 | 1 | 3 | yes | — |
| 167 | C2×C4×C5 | C2×C4×D3 | 1 | 3 | yes | — |
| 168 | C22⋊D5 | — | 3 | 6 | no | — |
| 169 | C2×Dic5 | — | 3 | 3 | no | — |
| 170 | D20 | — | 3 | 3 | no | — |
| 171 | C4×D5 | — | 3 | 3 | no | — |
| 172 | C4×D5 | — | 3 | 3 | no | — |
| 173 | C4×D5 | — | 3 | 1 | no | — |
| 174 | C4×D5 | — | 3 | 3 | no | — |
| 175 | Dic10 | — | 3 | 3 | no | — |
| 176 | C5×C8 | — | 3 | 1 | no | — |
| 177 | C5×C8 | — | 3 | 3 | no | — |
| 178 | #168 | C2×C4×D3 | 1 | 3 | yes | — |
| 179 | #168 | C23×D3 | 1 | 1 | yes | characteristic |
| 180 | C2×#41 | — | 15 | 1 | no | — |
| 181 | #131 | — | 3 | 1 | no | — |
| 182 | #131 | — | 5 | 1 | no | — |
| 183 | #131 | — | 15 | 3 | no | — |
| 184 | #131 | — | 15 | 3 | no | — |
| 185 | C2×M16 | — | 15 | 3 | no | — |
| 186 | C22×C8 | — | 15 | 3 | no | — |
| 187 | M32 | — | 5 | 3 | no | — |
| 188 | M32 | — | 15 | 6 | no | — |
| 189 | M32 | — | 15 | 3 | no | — |
| 190 | C2×C16 | — | 5 | 3 | no | — |
| 191 | C2×C16 | — | 15 | 1 | no | — |
| 192 | C2×C16 | — | 15 | 3 | no | — |
| 193 | C2×C16 | — | 15 | 3 | no | — |
| 194 | C2×C16 | — | 15 | 3 | no | — |
| 195 | C2×C16 | — | 15 | 3 | no | — |
| 196 | C2×C3×C5 | — | 2 | 3 | no | — |
| 197 | C2×C3×C5 | C23×C8 | 1 | 1 | yes | characteristic |
| 198 | D15 | — | 2 | 3 | no | — |
| 199 | D15 | #504 | 1 | 2 | yes | complemented |
| 200 | C22×D3 | — | 5 | 3 | no | — |
| 201 | C3×Q8 | D5⋊C8 | 1 | 1 | yes | characteristic |
| 202 | C3×D4 | D5⋊C8 | 1 | 3 | yes | — |
| 203 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 204 | #67 | — | 5 | 6 | no | — |
| 205 | C2×Dic3 | — | 5 | 3 | no | — |
| 206 | D12 | — | 5 | 3 | no | — |
| 207 | C4×D3 | — | 5 | 3 | no | — |
| 208 | C4×D3 | — | 5 | 3 | no | — |
| 209 | C4×D3 | — | 5 | 1 | no | — |
| 210 | C4×D3 | — | 5 | 3 | no | — |
| 211 | Dic6 | — | 5 | 3 | no | — |
| 212 | C3×C8 | — | 5 | 3 | no | — |
| 213 | C3×C8 | — | 5 | 1 | no | — |
| 214 | C3⋊C8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 215 | C3⋊C8 | C22×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 216 | C22×C5 | C2×D3×C8 | 1 | 3 | yes | — |
| 217 | C2×D5 | — | 3 | 1 | no | — |
| 218 | C2×D5 | — | 3 | 3 | no | — |
| 219 | C2×D5 | — | 6 | 6 | no | — |
| 220 | C4×C5 | C2×D3×C8 | 1 | 3 | yes | — |
| 221 | C4×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 222 | Dic5 | — | 3 | 3 | no | — |
| 223 | Dic5 | — | 3 | 1 | no | — |
| 224 | #41 | — | 15 | 1 | no | — |
| 225 | #41 | — | 15 | 3 | no | — |
| 226 | #41 | — | 15 | 3 | no | — |
| 227 | #41 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 228 | C2×Q8 | — | 15 | 1 | no | — |
| 229 | C2×D4 | — | 15 | 3 | no | — |
| 230 | C22×C4 | — | 15 | 3 | no | — |
| 231 | M16 | — | 3 | 3 | no | — |
| 232 | M16 | — | 5 | 3 | no | — |
| 233 | M16 | — | 15 | 6 | no | — |
| 234 | C2×C8 | — | 3 | 3 | no | — |
| 235 | C2×C8 | — | 5 | 3 | no | — |
| 236 | C2×C8 | — | 15 | 1 | no | — |
| 237 | C2×C8 | — | 15 | 3 | no | — |
| 238 | C2×C8 | — | 15 | 3 | no | — |
| 239 | C2×C8 | — | 15 | 3 | no | — |
| 240 | C16 | — | 5 | 1 | no | — |
| 241 | C16 | — | 5 | 3 | no | — |
| 242 | C16 | — | 15 | 1 | no | — |
| 243 | C16 | — | 15 | 3 | no | — |
| 244 | C3×C5 | C2×#504 | 1 | 1 | yes | characteristic, complemented, Hall |
| 245 | C22×C3 | C2×D5⋊C8 | 1 | 3 | yes | — |
| 246 | C2×D3 | — | 5 | 1 | no | — |
| 247 | C2×D3 | — | 5 | 3 | no | — |
| 248 | C2×D3 | — | 10 | 6 | no | — |
| 249 | C3×C4 | C2×D5⋊C8 | 1 | 3 | yes | — |
| 250 | C3×C4 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 251 | Dic3 | — | 5 | 3 | no | — |
| 252 | Dic3 | — | 5 | 1 | no | — |
| 253 | C2×C5 | — | 2 | 3 | no | — |
| 254 | C2×C5 | C22×D3×C8 | 1 | 1 | yes | characteristic |
| 255 | D5 | — | 3 | 2 | no | — |
| 256 | D5 | — | 6 | 3 | no | — |
| 257 | C23 | — | 15 | 3 | no | — |
| 258 | Q8 | — | 15 | 3 | no | — |
| 259 | Q8 | #6738 | 1 | 1 | yes | characteristic |
| 260 | D4 | — | 15 | 6 | no | — |
| 261 | D4 | — | 15 | 3 | no | — |
| 262 | D4 | #6738 | 1 | 3 | yes | — |
| 263 | C2×C4 | — | 15 | 3 | no | — |
| 264 | C2×C4 | — | 15 | 3 | no | — |
| 265 | C2×C4 | — | 15 | 3 | no | — |
| 266 | C2×C4 | — | 15 | 1 | no | — |
| 267 | C2×C4 | — | 15 | 3 | no | — |
| 268 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 269 | C8 | — | 3 | 1 | no | — |
| 270 | C8 | — | 3 | 3 | no | — |
| 271 | C8 | — | 5 | 1 | no | — |
| 272 | C8 | — | 5 | 3 | no | — |
| 273 | C2×C3 | — | 2 | 3 | no | — |
| 274 | C2×C3 | C22×D5⋊C8 | 1 | 1 | yes | characteristic |
| 275 | D3 | — | 5 | 2 | no | — |
| 276 | D3 | — | 10 | 3 | no | — |
| 277 | C5 | D3×#504 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 278 | C22 | — | 15 | 1 | no | — |
| 279 | C22 | — | 15 | 3 | no | — |
| 280 | C22 | — | 30 | 6 | no | — |
| 281 | C22 | C2×#6738 | 1 | 3 | yes | — |
| 282 | C4 | — | 15 | 1 | no | — |
| 283 | C4 | — | 15 | 3 | no | — |
| 284 | C4 | C2×#6738 | 1 | 3 | yes | — |
| 285 | C4 | C22×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 286 | C3 | D5⋊#504 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 287 | C2 | — | 2 | 3 | no | — |
| 288 | C2 | — | 15 | 2 | no | — |
| 289 | C2 | — | 30 | 3 | no | — |
| 290 | C2 | C22×#6738 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta