| 1 | #11754113 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11754054 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11751016 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×D3×SD32 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#65203 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11748305 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11748301 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11748292 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11748284 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11748281 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | D5×#827 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11746835 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11746828 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11746824 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11746812 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10613755 | — | 3 | 1 | no | maximal, Hall |
| 17 | #92028 | — | 2 | 1 | no | — |
| 18 | #92025 | — | 2 | 1 | no | — |
| 19 | Q16×D15 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #91801 | C22 | 1 | 1 | yes | characteristic |
| 21 | C5×D3×Q16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C5×D3×D8 | C22 | 1 | 1 | yes | characteristic |
| 23 | C3×#4065 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C3×D5×D8 | C22 | 1 | 1 | yes | characteristic |
| 25 | #91522 | — | 2 | 1 | no | — |
| 26 | #91518 | — | 2 | 1 | no | — |
| 27 | #91508 | — | 2 | 1 | no | — |
| 28 | #91494 | — | 2 | 1 | no | — |
| 29 | #91489 | — | 2 | 1 | no | — |
| 30 | #91482 | — | 2 | 1 | no | — |
| 31 | #91277 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #91273 | C22 | 1 | 1 | yes | characteristic |
| 33 | #91273 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #91270 | C22 | 1 | 1 | yes | characteristic |
| 35 | #91265 | C22 | 1 | 1 | yes | characteristic |
| 36 | D5×Dic12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #91256 | C22 | 1 | 1 | yes | characteristic |
| 38 | C3×C5×SD32 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #91113 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #91111 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | Dic120 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #91082 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C5×#828 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C5×#827 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C5×#800 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C5×D3×C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C3×#3960 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C3×#3958 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C3×D80 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C3×#3930 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #90948 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #90944 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #90942 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #90942 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #90940 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #90937 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #90935 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #90933 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | D5×C3⋊C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #82037 | — | 5 | 1 | no | maximal, Hall |
| 61 | #66100 | — | 3 | 1 | no | — |
| 62 | #66091 | — | 3 | 1 | no | — |
| 63 | C2×C5×SD32 | — | 3 | 1 | no | — |
| 64 | #65468 | — | 3 | 1 | no | — |
| 65 | #65436 | — | 3 | 1 | no | — |
| 66 | #65205 | — | 3 | 1 | no | — |
| 67 | #65205 | — | 3 | 1 | no | — |
| 68 | #65204 | — | 3 | 1 | no | — |
| 69 | #65204 | — | 3 | 1 | no | — |
| 70 | #65203 | — | 3 | 1 | no | — |
| 71 | #65203 | D3 | 1 | 1 | yes | characteristic, complemented |
| 72 | D5×SD32 | — | 3 | 1 | no | — |
| 73 | D5×SD32 | — | 3 | 1 | no | — |
| 74 | #65193 | — | 3 | 1 | no | — |
| 75 | #65190 | — | 3 | 1 | no | — |
| 76 | Q8×D15 | — | 2 | 1 | no | — |
| 77 | #6819 | — | 2 | 1 | no | — |
| 78 | C5×D3×Q8 | — | 2 | 1 | no | — |
| 79 | C5×D3×D4 | — | 2 | 1 | no | — |
| 80 | C3×#713 | — | 2 | 1 | no | — |
| 81 | C3×D4×D5 | — | 2 | 1 | no | — |
| 82 | D3×C22⋊D5 | — | 4 | 1 | no | — |
| 83 | D5×#67 | — | 4 | 1 | no | — |
| 84 | C2×#1201 | — | 4 | 1 | no | — |
| 85 | #6780 | — | 4 | 1 | no | — |
| 86 | #6777 | — | 2 | 1 | no | — |
| 87 | #6772 | — | 2 | 1 | no | — |
| 88 | #6771 | — | 4 | 1 | no | — |
| 89 | #6771 | D4 | 1 | 1 | yes | characteristic |
| 90 | #6766 | — | 2 | 1 | no | — |
| 91 | #6766 | — | 4 | 1 | no | — |
| 92 | #6765 | — | 2 | 1 | no | — |
| 93 | #6765 | — | 2 | 1 | no | — |
| 94 | #6765 | — | 4 | 1 | no | — |
| 95 | D5×Dic6 | — | 2 | 1 | no | — |
| 96 | D5×Dic6 | — | 4 | 1 | no | — |
| 97 | C3×C5×Q16 | C23 | 1 | 1 | yes | characteristic |
| 98 | C3×C5×D8 | C23 | 1 | 1 | yes | characteristic |
| 99 | #6718 | — | 2 | 1 | no | — |
| 100 | #6716 | — | 2 | 1 | no | — |
| 101 | Dic60 | C23 | 1 | 1 | yes | characteristic |
| 102 | Dic60 | C23 | 1 | 1 | yes | characteristic |
| 103 | C8×D15 | C23 | 1 | 1 | yes | characteristic |
| 104 | C5×#216 | — | 2 | 1 | no | — |
| 105 | C5×#213 | — | 2 | 1 | no | — |
| 106 | C5×Dic12 | C23 | 1 | 1 | yes | characteristic |
| 107 | C5×D24 | C23 | 1 | 1 | yes | characteristic |
| 108 | C5×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 109 | C3×#688 | — | 2 | 1 | no | — |
| 110 | C3×#686 | — | 2 | 1 | no | — |
| 111 | C3×D40 | C23 | 1 | 1 | yes | characteristic |
| 112 | C3×D40 | C23 | 1 | 1 | yes | characteristic |
| 113 | C3×C8×D5 | C23 | 1 | 1 | yes | characteristic |
| 114 | #6663 | — | 2 | 1 | no | — |
| 115 | #6659 | — | 2 | 1 | no | — |
| 116 | #6657 | — | 2 | 1 | no | — |
| 117 | #6657 | — | 2 | 1 | no | — |
| 118 | #6655 | — | 2 | 1 | no | — |
| 119 | #6652 | — | 2 | 1 | no | — |
| 120 | #6651 | D4 | 1 | 1 | yes | characteristic |
| 121 | #6650 | D4 | 1 | 1 | yes | characteristic |
| 122 | #6649 | D4 | 1 | 1 | yes | characteristic |
| 123 | C3×C5×C16 | C23 | 1 | 1 | yes | characteristic |
| 124 | C3⋊#672 | C23 | 1 | 1 | yes | characteristic |
| 125 | C3×#672 | C23 | 1 | 1 | yes | characteristic |
| 126 | C5×C3⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 127 | #5771 | — | 5 | 1 | no | — |
| 128 | #5757 | — | 5 | 1 | no | — |
| 129 | C3×#509 | — | 5 | 1 | no | — |
| 130 | #5194 | — | 5 | 1 | no | — |
| 131 | C2×#827 | — | 5 | 1 | no | — |
| 132 | #4915 | — | 5 | 1 | no | — |
| 133 | #4915 | — | 5 | 1 | no | — |
| 134 | D3×SD32 | — | 5 | 1 | no | — |
| 135 | D3×SD32 | D5 | 1 | 1 | yes | characteristic, complemented |
| 136 | #4912 | — | 5 | 1 | no | — |
| 137 | #4912 | — | 5 | 1 | no | — |
| 138 | #4911 | — | 5 | 1 | no | — |
| 139 | #4911 | — | 5 | 1 | no | — |
| 140 | #4909 | — | 5 | 1 | no | — |
| 141 | #4907 | — | 5 | 1 | no | — |
| 142 | #4147 | — | 6 | 1 | no | — |
| 143 | #4144 | — | 6 | 1 | no | — |
| 144 | C2×C5×Q16 | — | 3 | 1 | no | — |
| 145 | C2×C5×D8 | — | 3 | 1 | no | — |
| 146 | #4088 | — | 6 | 1 | no | — |
| 147 | #4078 | — | 6 | 1 | no | — |
| 148 | #4065 | — | 3 | 1 | no | — |
| 149 | #4065 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 150 | #4064 | — | 6 | 1 | no | — |
| 151 | #4064 | — | 6 | 1 | no | — |
| 152 | D5×Q16 | — | 3 | 1 | no | — |
| 153 | D5×Q16 | — | 3 | 1 | no | — |
| 154 | #4058 | — | 3 | 1 | no | — |
| 155 | #4058 | — | 3 | 1 | no | — |
| 156 | #4057 | — | 6 | 1 | no | — |
| 157 | #4057 | — | 6 | 1 | no | — |
| 158 | D5×D8 | — | 3 | 1 | no | — |
| 159 | D5×D8 | C2×D3 | 1 | 1 | yes | characteristic |
| 160 | #4050 | — | 3 | 1 | no | — |
| 161 | #4050 | — | 3 | 1 | no | — |
| 162 | #4047 | — | 3 | 1 | no | — |
| 163 | C5×SD32 | — | 3 | 1 | no | — |
| 164 | C5×SD32 | — | 3 | 1 | no | — |
| 165 | C5×SD32 | — | 3 | 1 | no | — |
| 166 | C5×SD32 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 167 | C2×C5×C16 | — | 3 | 1 | no | — |
| 168 | #3961 | — | 3 | 1 | no | — |
| 169 | #3961 | — | 3 | 1 | no | — |
| 170 | #3960 | — | 3 | 1 | no | — |
| 171 | #3960 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 172 | #3959 | — | 3 | 1 | no | — |
| 173 | #3959 | — | 3 | 1 | no | — |
| 174 | #3958 | — | 3 | 1 | no | — |
| 175 | #3958 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 176 | #3944 | — | 3 | 1 | no | — |
| 177 | Dic40 | — | 3 | 1 | no | — |
| 178 | #3932 | — | 3 | 1 | no | — |
| 179 | #3932 | — | 3 | 1 | no | — |
| 180 | D80 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 181 | #3930 | — | 3 | 1 | no | — |
| 182 | #3930 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 183 | D5×C16 | — | 3 | 1 | no | — |
| 184 | D5×C16 | — | 3 | 1 | no | — |
| 185 | #3416 | — | 15 | 1 | no | Sylow |
| 186 | C22×C5×D3 | — | 4 | 1 | no | — |
| 187 | C22×C3×D5 | — | 4 | 1 | no | — |
| 188 | C2×D3×D5 | — | 4 | 1 | no | — |
| 189 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 190 | C3×C5×D4 | — | 2 | 1 | no | — |
| 191 | #1220 | — | 4 | 1 | no | — |
| 192 | C2×Dic15 | — | 4 | 1 | no | — |
| 193 | C4×D15 | — | 4 | 1 | no | — |
| 194 | C4×D15 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | Dic30 | — | 2 | 1 | no | — |
| 196 | Dic30 | — | 2 | 1 | no | — |
| 197 | Dic30 | — | 4 | 1 | no | — |
| 198 | C5×#67 | — | 4 | 1 | no | — |
| 199 | C5×D12 | — | 2 | 1 | no | — |
| 200 | C4×C5×D3 | — | 4 | 1 | no | — |
| 201 | C4×C5×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | C5×Dic6 | — | 2 | 1 | no | — |
| 203 | C5×Dic6 | — | 4 | 1 | no | — |
| 204 | C3×C22⋊D5 | — | 4 | 1 | no | — |
| 205 | C3×D20 | — | 2 | 1 | no | — |
| 206 | C3×D20 | — | 2 | 1 | no | — |
| 207 | C3×D20 | — | 4 | 1 | no | — |
| 208 | C3×C4×D5 | — | 4 | 1 | no | — |
| 209 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 210 | #1204 | — | 4 | 1 | no | — |
| 211 | #1204 | D8 | 1 | 1 | yes | characteristic |
| 212 | #1203 | D8 | 1 | 1 | yes | characteristic |
| 213 | #1202 | — | 4 | 1 | no | — |
| 214 | #1202 | D8 | 1 | 1 | yes | characteristic |
| 215 | #1201 | — | 4 | 1 | no | — |
| 216 | #1201 | — | 4 | 1 | no | — |
| 217 | #1201 | — | 4 | 1 | no | — |
| 218 | #1201 | — | 4 | 1 | no | — |
| 219 | #1201 | D8 | 1 | 1 | yes | characteristic |
| 220 | D3×Dic5 | — | 4 | 1 | no | — |
| 221 | D5×Dic3 | — | 4 | 1 | no | — |
| 222 | D5×Dic3 | — | 4 | 1 | no | — |
| 223 | D5×Dic3 | — | 4 | 1 | no | — |
| 224 | D5×Dic3 | — | 4 | 1 | no | — |
| 225 | C3×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 226 | C3⋊#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 227 | C3×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 228 | C5×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 229 | #1010 | — | 10 | 1 | no | — |
| 230 | #1004 | — | 10 | 1 | no | — |
| 231 | C3×#135 | — | 5 | 1 | no | — |
| 232 | C2×C3×D8 | — | 5 | 1 | no | — |
| 233 | #951 | — | 10 | 1 | no | — |
| 234 | #932 | — | 10 | 1 | no | — |
| 235 | D3×Q16 | — | 5 | 1 | no | — |
| 236 | D3×Q16 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 237 | #915 | — | 10 | 1 | no | — |
| 238 | #915 | — | 10 | 1 | no | — |
| 239 | #912 | — | 5 | 1 | no | — |
| 240 | #912 | — | 5 | 1 | no | — |
| 241 | #912 | — | 5 | 1 | no | — |
| 242 | #912 | — | 5 | 1 | no | — |
| 243 | #911 | — | 10 | 1 | no | — |
| 244 | #911 | — | 10 | 1 | no | — |
| 245 | D3×D8 | — | 5 | 1 | no | — |
| 246 | D3×D8 | C2×D5 | 1 | 1 | yes | characteristic |
| 247 | C2×Dic12 | — | 5 | 1 | no | — |
| 248 | #904 | — | 5 | 1 | no | — |
| 249 | #901 | — | 5 | 1 | no | — |
| 250 | C3×SD32 | — | 5 | 1 | no | — |
| 251 | C3×SD32 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 252 | C3×D16 | — | 5 | 1 | no | — |
| 253 | C3×D16 | — | 5 | 1 | no | — |
| 254 | C3×M32 | — | 5 | 1 | no | — |
| 255 | #829 | — | 5 | 1 | no | — |
| 256 | #828 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 257 | #827 | — | 5 | 1 | no | — |
| 258 | #827 | — | 5 | 1 | no | — |
| 259 | #827 | — | 5 | 1 | no | — |
| 260 | #827 | — | 5 | 1 | no | — |
| 261 | #827 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 262 | #826 | — | 5 | 1 | no | — |
| 263 | C2×C3⋊C16 | — | 5 | 1 | no | — |
| 264 | Dic24 | — | 5 | 1 | no | — |
| 265 | Dic24 | — | 5 | 1 | no | — |
| 266 | #800 | — | 5 | 1 | no | — |
| 267 | #800 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 268 | #798 | — | 5 | 1 | no | — |
| 269 | #798 | — | 5 | 1 | no | — |
| 270 | D3×C16 | — | 5 | 1 | no | — |
| 271 | D3×C16 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 272 | C2×C5×Q8 | — | 6 | 1 | no | — |
| 273 | C2×C5×D4 | — | 6 | 1 | no | — |
| 274 | C2×C22⋊D5 | — | 12 | 1 | no | — |
| 275 | C2×C22⋊D5 | — | 12 | 1 | no | — |
| 276 | #713 | — | 2 | 1 | no | — |
| 277 | #713 | — | 6 | 1 | no | — |
| 278 | #713 | — | 12 | 1 | no | — |
| 279 | Q8×D5 | — | 6 | 1 | no | — |
| 280 | Q8×D5 | — | 6 | 1 | no | — |
| 281 | Q8×D5 | — | 12 | 1 | no | — |
| 282 | #711 | — | 6 | 1 | no | — |
| 283 | #711 | — | 6 | 1 | no | — |
| 284 | #711 | — | 12 | 1 | no | — |
| 285 | D4×D5 | — | 2 | 1 | no | — |
| 286 | D4×D5 | — | 6 | 1 | no | — |
| 287 | D4×D5 | — | 12 | 1 | no | — |
| 288 | #709 | — | 3 | 1 | no | — |
| 289 | #709 | — | 6 | 1 | no | — |
| 290 | #709 | — | 6 | 1 | no | — |
| 291 | #709 | — | 12 | 1 | no | — |
| 292 | #709 | — | 12 | 1 | no | — |
| 293 | C5×Q16 | — | 3 | 1 | no | — |
| 294 | C5×Q16 | — | 6 | 1 | no | — |
| 295 | C5×Q16 | C22×D3 | 1 | 1 | yes | characteristic |
| 296 | C5×D8 | — | 3 | 1 | no | — |
| 297 | C5×D8 | — | 6 | 1 | no | — |
| 298 | C5×D8 | C22×D3 | 1 | 1 | yes | characteristic |
| 299 | C2×C5×C8 | — | 3 | 1 | no | — |
| 300 | #689 | — | 6 | 1 | no | — |
| 301 | #689 | — | 6 | 1 | no | — |
| 302 | #688 | — | 2 | 1 | no | — |
| 303 | #688 | — | 6 | 1 | no | — |
| 304 | #687 | — | 6 | 1 | no | — |
| 305 | #687 | — | 6 | 1 | no | — |
| 306 | #686 | — | 2 | 1 | no | — |
| 307 | #686 | — | 6 | 1 | no | — |
| 308 | #681 | — | 3 | 1 | no | — |
| 309 | Dic20 | — | 3 | 1 | no | — |
| 310 | Dic20 | — | 3 | 1 | no | — |
| 311 | D40 | C22×D3 | 1 | 1 | yes | characteristic |
| 312 | D40 | C22×D3 | 1 | 1 | yes | characteristic |
| 313 | #677 | — | 6 | 1 | no | — |
| 314 | #677 | — | 6 | 1 | no | — |
| 315 | #676 | — | 3 | 1 | no | — |
| 316 | #676 | — | 3 | 1 | no | — |
| 317 | C8×D5 | — | 3 | 1 | no | — |
| 318 | C8×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 319 | C5×C16 | — | 3 | 1 | no | — |
| 320 | C5×C16 | C22×D3 | 1 | 1 | yes | characteristic |
| 321 | #672 | — | 3 | 1 | no | — |
| 322 | #672 | C22×D3 | 1 | 1 | yes | characteristic |
| 323 | #578 | — | 15 | 1 | no | — |
| 324 | #576 | — | 15 | 1 | no | — |
| 325 | #510 | — | 15 | 1 | no | — |
| 326 | #510 | — | 15 | 1 | no | — |
| 327 | #510 | — | 15 | 1 | no | — |
| 328 | #509 | — | 5 | 1 | no | — |
| 329 | #509 | — | 15 | 1 | no | — |
| 330 | #509 | — | 15 | 1 | no | — |
| 331 | #508 | — | 15 | 1 | no | — |
| 332 | #508 | — | 15 | 1 | no | — |
| 333 | #508 | — | 15 | 1 | no | — |
| 334 | C2×SD32 | — | 3 | 1 | no | — |
| 335 | C2×SD32 | — | 15 | 1 | no | — |
| 336 | C2×SD32 | — | 15 | 1 | no | — |
| 337 | #504 | — | 15 | 1 | no | — |
| 338 | C22×C3×C5 | — | 4 | 1 | no | — |
| 339 | C2×D15 | C2×D8 | 1 | 1 | yes | characteristic |
| 340 | C2×C5×D3 | — | 4 | 1 | no | — |
| 341 | C2×C5×D3 | — | 16 | 1 | no | — |
| 342 | C2×C5×D3 | C2×D8 | 1 | 1 | yes | characteristic |
| 343 | C2×C3×D5 | — | 4 | 1 | no | — |
| 344 | C2×C3×D5 | — | 4 | 1 | no | — |
| 345 | C2×C3×D5 | — | 16 | 1 | no | — |
| 346 | C2×C3×D5 | C2×D8 | 1 | 1 | yes | characteristic |
| 347 | D3×D5 | — | 16 | 1 | no | — |
| 348 | C3×C4×C5 | — | 4 | 1 | no | — |
| 349 | C3×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 350 | Dic15 | — | 4 | 1 | no | — |
| 351 | Dic15 | — | 4 | 1 | no | — |
| 352 | Dic15 | C2×D8 | 1 | 1 | yes | characteristic |
| 353 | C3×Dic5 | C2×D8 | 1 | 1 | yes | characteristic |
| 354 | C5×Dic3 | — | 4 | 1 | no | — |
| 355 | C5×Dic3 | C2×D8 | 1 | 1 | yes | characteristic |
| 356 | C3×#41 | — | 10 | 1 | no | — |
| 357 | C2×C3×D4 | — | 10 | 1 | no | — |
| 358 | C2×#67 | — | 20 | 1 | no | — |
| 359 | C2×#67 | — | 20 | 1 | no | — |
| 360 | D3×Q8 | — | 2 | 1 | no | — |
| 361 | D3×Q8 | — | 10 | 1 | no | — |
| 362 | #237 | — | 10 | 1 | no | — |
| 363 | #237 | — | 10 | 1 | no | — |
| 364 | #237 | — | 10 | 1 | no | — |
| 365 | #237 | — | 10 | 1 | no | — |
| 366 | #237 | — | 20 | 1 | no | — |
| 367 | #237 | — | 20 | 1 | no | — |
| 368 | #237 | — | 20 | 1 | no | — |
| 369 | D3×D4 | — | 2 | 1 | no | — |
| 370 | D3×D4 | — | 10 | 1 | no | — |
| 371 | D3×D4 | — | 20 | 1 | no | — |
| 372 | #235 | — | 5 | 1 | no | — |
| 373 | #235 | — | 10 | 1 | no | — |
| 374 | #235 | — | 20 | 1 | no | — |
| 375 | C2×Dic6 | — | 10 | 1 | no | — |
| 376 | C2×Dic6 | — | 20 | 1 | no | — |
| 377 | C3×Q16 | C22×D5 | 1 | 1 | yes | characteristic |
| 378 | C3×SD16 | — | 10 | 1 | no | — |
| 379 | C3×D8 | — | 5 | 1 | no | — |
| 380 | C3×D8 | — | 5 | 1 | no | — |
| 381 | C3×D8 | — | 10 | 1 | no | — |
| 382 | C3×D8 | C22×D5 | 1 | 1 | yes | characteristic |
| 383 | C2×C3×C8 | — | 5 | 1 | no | — |
| 384 | #216 | — | 2 | 1 | no | — |
| 385 | #216 | — | 10 | 1 | no | — |
| 386 | #214 | — | 10 | 1 | no | — |
| 387 | #214 | — | 10 | 1 | no | — |
| 388 | #214 | — | 10 | 1 | no | — |
| 389 | #214 | — | 10 | 1 | no | — |
| 390 | #213 | — | 2 | 1 | no | — |
| 391 | #213 | — | 10 | 1 | no | — |
| 392 | #208 | — | 5 | 1 | no | — |
| 393 | Dic12 | — | 5 | 1 | no | — |
| 394 | Dic12 | — | 5 | 1 | no | — |
| 395 | Dic12 | — | 10 | 1 | no | — |
| 396 | Dic12 | C22×D5 | 1 | 1 | yes | characteristic |
| 397 | D24 | C22×D5 | 1 | 1 | yes | characteristic |
| 398 | #204 | — | 10 | 1 | no | — |
| 399 | ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 400 | ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 401 | D3×C8 | — | 5 | 1 | no | — |
| 402 | D3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 403 | C3×C16 | — | 5 | 1 | no | — |
| 404 | C3×C16 | C22×D5 | 1 | 1 | yes | characteristic |
| 405 | C3⋊C16 | — | 5 | 1 | no | — |
| 406 | C3⋊C16 | C22×D5 | 1 | 1 | yes | characteristic |
| 407 | C23×C5 | — | 12 | 1 | no | — |
| 408 | C22×D5 | — | 4 | 1 | no | — |
| 409 | C22×D5 | — | 12 | 1 | no | — |
| 410 | C5×Q8 | — | 2 | 1 | no | — |
| 411 | C5×Q8 | — | 6 | 1 | no | — |
| 412 | C5×Q8 | — | 12 | 1 | no | — |
| 413 | C5×D4 | — | 2 | 1 | no | — |
| 414 | C5×D4 | — | 6 | 1 | no | — |
| 415 | C5×D4 | — | 12 | 1 | no | — |
| 416 | C2×C4×C5 | — | 3 | 1 | no | — |
| 417 | C2×C4×C5 | — | 12 | 1 | no | — |
| 418 | C22⋊D5 | — | 3 | 1 | no | — |
| 419 | C22⋊D5 | — | 3 | 1 | no | — |
| 420 | C22⋊D5 | — | 4 | 1 | no | — |
| 421 | C22⋊D5 | — | 12 | 1 | no | — |
| 422 | C22⋊D5 | — | 12 | 1 | no | — |
| 423 | C22⋊D5 | — | 12 | 1 | no | — |
| 424 | C22⋊D5 | — | 12 | 1 | no | — |
| 425 | C22⋊D5 | — | 12 | 1 | no | — |
| 426 | C2×Dic5 | — | 12 | 1 | no | — |
| 427 | C2×Dic5 | — | 12 | 1 | no | — |
| 428 | D20 | — | 2 | 1 | no | — |
| 429 | D20 | — | 2 | 1 | no | — |
| 430 | D20 | — | 3 | 1 | no | — |
| 431 | D20 | — | 4 | 1 | no | — |
| 432 | D20 | — | 12 | 1 | no | — |
| 433 | C4×D5 | — | 3 | 1 | no | — |
| 434 | C4×D5 | — | 4 | 1 | no | — |
| 435 | C4×D5 | — | 12 | 1 | no | — |
| 436 | C4×D5 | — | 12 | 1 | no | — |
| 437 | C4×D5 | — | 12 | 1 | no | — |
| 438 | C4×D5 | — | 12 | 1 | no | — |
| 439 | C4×D5 | — | 12 | 1 | no | — |
| 440 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 441 | Dic10 | — | 3 | 1 | no | — |
| 442 | Dic10 | — | 6 | 1 | no | — |
| 443 | Dic10 | — | 6 | 1 | no | — |
| 444 | Dic10 | — | 12 | 1 | no | — |
| 445 | Dic10 | — | 12 | 1 | no | — |
| 446 | C5×C8 | — | 3 | 1 | no | — |
| 447 | C5×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 448 | #168 | — | 3 | 1 | no | — |
| 449 | #168 | D3×D4 | 1 | 1 | yes | characteristic |
| 450 | 2−1+4 | — | 30 | 1 | no | — |
| 451 | H(5,𝔽2) | — | 30 | 1 | no | — |
| 452 | #137 | — | 30 | 1 | no | — |
| 453 | #137 | — | 30 | 1 | no | — |
| 454 | #137 | — | 30 | 1 | no | — |
| 455 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 456 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 457 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 458 | #135 | — | 5 | 1 | no | — |
| 459 | #135 | — | 15 | 1 | no | — |
| 460 | #135 | — | 15 | 1 | no | — |
| 461 | #135 | — | 15 | 1 | no | — |
| 462 | #135 | — | 15 | 1 | no | — |
| 463 | #135 | — | 15 | 1 | no | — |
| 464 | C2×Q16 | — | 3 | 1 | no | — |
| 465 | C2×Q16 | — | 15 | 1 | no | — |
| 466 | C2×Q16 | — | 15 | 1 | no | — |
| 467 | C2×D8 | — | 3 | 1 | no | — |
| 468 | C2×D8 | — | 5 | 1 | no | — |
| 469 | C2×D8 | — | 15 | 1 | no | — |
| 470 | #131 | — | 15 | 1 | no | — |
| 471 | Q32 | — | 15 | 1 | no | — |
| 472 | Q32 | — | 15 | 1 | no | — |
| 473 | Q32 | — | 15 | 1 | no | — |
| 474 | SD32 | — | 3 | 1 | no | — |
| 475 | SD32 | — | 3 | 1 | no | — |
| 476 | SD32 | — | 3 | 1 | no | — |
| 477 | SD32 | — | 5 | 1 | no | — |
| 478 | SD32 | — | 15 | 1 | no | — |
| 479 | SD32 | — | 15 | 1 | no | — |
| 480 | SD32 | — | 15 | 1 | no | — |
| 481 | SD32 | — | 15 | 1 | no | — |
| 482 | SD32 | — | 15 | 1 | no | — |
| 483 | SD32 | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 484 | D16 | — | 5 | 1 | no | — |
| 485 | D16 | — | 5 | 1 | no | — |
| 486 | D16 | — | 15 | 1 | no | — |
| 487 | M32 | — | 5 | 1 | no | — |
| 488 | M32 | — | 15 | 1 | no | — |
| 489 | M32 | — | 15 | 1 | no | — |
| 490 | C2×C16 | — | 3 | 1 | no | — |
| 491 | C2×C16 | — | 15 | 1 | no | — |
| 492 | C2×C16 | — | 15 | 1 | no | — |
| 493 | C2×C3×C5 | — | 8 | 1 | no | — |
| 494 | C2×C3×C5 | C22×D8 | 1 | 1 | yes | characteristic |
| 495 | D15 | — | 2 | 1 | no | — |
| 496 | C3×D5 | — | 2 | 1 | no | — |
| 497 | C3×D5 | — | 8 | 1 | no | — |
| 498 | C3×D5 | — | 8 | 1 | no | — |
| 499 | C5×D3 | — | 2 | 1 | no | — |
| 500 | C5×D3 | — | 8 | 1 | no | — |
| 501 | C23×C3 | — | 20 | 1 | no | — |
| 502 | C22×D3 | — | 4 | 1 | no | — |
| 503 | C22×D3 | — | 20 | 1 | no | — |
| 504 | C3×Q8 | — | 2 | 1 | no | — |
| 505 | C3×D4 | — | 2 | 1 | no | — |
| 506 | C3×D4 | — | 10 | 1 | no | — |
| 507 | C3×D4 | — | 10 | 1 | no | — |
| 508 | C3×D4 | — | 20 | 1 | no | — |
| 509 | C3×D4 | — | 20 | 1 | no | — |
| 510 | C2×C3×C4 | — | 5 | 1 | no | — |
| 511 | C2×C3×C4 | — | 20 | 1 | no | — |
| 512 | #67 | — | 4 | 1 | no | — |
| 513 | #67 | — | 5 | 1 | no | — |
| 514 | #67 | — | 5 | 1 | no | — |
| 515 | #67 | — | 20 | 1 | no | — |
| 516 | #67 | — | 20 | 1 | no | — |
| 517 | #67 | — | 20 | 1 | no | — |
| 518 | #67 | — | 20 | 1 | no | — |
| 519 | #67 | — | 20 | 1 | no | — |
| 520 | #67 | — | 20 | 1 | no | — |
| 521 | C2×Dic3 | — | 20 | 1 | no | — |
| 522 | C2×Dic3 | — | 20 | 1 | no | — |
| 523 | C2×Dic3 | — | 20 | 1 | no | — |
| 524 | C2×Dic3 | — | 20 | 1 | no | — |
| 525 | C2×Dic3 | — | 20 | 1 | no | — |
| 526 | D12 | — | 2 | 1 | no | — |
| 527 | D12 | — | 5 | 1 | no | — |
| 528 | C4×D3 | — | 4 | 1 | no | — |
| 529 | C4×D3 | — | 5 | 1 | no | — |
| 530 | C4×D3 | — | 20 | 1 | no | — |
| 531 | C4×D3 | — | 20 | 1 | no | — |
| 532 | C4×D3 | D4×D5 | 1 | 1 | yes | characteristic |
| 533 | Dic6 | — | 2 | 1 | no | — |
| 534 | Dic6 | — | 4 | 1 | no | — |
| 535 | Dic6 | — | 5 | 1 | no | — |
| 536 | Dic6 | — | 10 | 1 | no | — |
| 537 | Dic6 | — | 10 | 1 | no | — |
| 538 | Dic6 | — | 20 | 1 | no | — |
| 539 | Dic6 | — | 20 | 1 | no | — |
| 540 | C3×C8 | — | 5 | 1 | no | — |
| 541 | C3×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 542 | C3⋊C8 | — | 5 | 1 | no | — |
| 543 | C3⋊C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 544 | C22×C5 | — | 3 | 1 | no | — |
| 545 | C22×C5 | — | 4 | 1 | no | — |
| 546 | C22×C5 | — | 12 | 1 | no | — |
| 547 | C22×C5 | — | 48 | 1 | no | — |
| 548 | C2×D5 | — | 3 | 1 | no | — |
| 549 | C2×D5 | — | 4 | 1 | no | — |
| 550 | C2×D5 | — | 4 | 1 | no | — |
| 551 | C2×D5 | — | 16 | 1 | no | — |
| 552 | C2×D5 | — | 48 | 1 | no | — |
| 553 | C2×D5 | D3×D8 | 1 | 1 | yes | characteristic |
| 554 | C4×C5 | — | 3 | 1 | no | — |
| 555 | C4×C5 | — | 4 | 1 | no | — |
| 556 | C4×C5 | — | 12 | 1 | no | — |
| 557 | C4×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 558 | Dic5 | — | 3 | 1 | no | — |
| 559 | Dic5 | — | 12 | 1 | no | — |
| 560 | Dic5 | — | 12 | 1 | no | — |
| 561 | Dic5 | D3×D8 | 1 | 1 | yes | characteristic |
| 562 | #41 | — | 10 | 1 | no | — |
| 563 | #41 | — | 15 | 1 | no | — |
| 564 | #41 | — | 30 | 1 | no | — |
| 565 | #41 | — | 30 | 1 | no | — |
| 566 | #41 | — | 30 | 1 | no | — |
| 567 | #41 | — | 30 | 1 | no | — |
| 568 | #41 | — | 30 | 1 | no | — |
| 569 | #41 | — | 60 | 1 | no | — |
| 570 | #41 | — | 60 | 1 | no | — |
| 571 | #41 | — | 60 | 1 | no | — |
| 572 | #41 | — | 60 | 1 | no | — |
| 573 | C2×Q8 | — | 6 | 1 | no | — |
| 574 | C2×Q8 | — | 30 | 1 | no | — |
| 575 | C2×Q8 | — | 30 | 1 | no | — |
| 576 | C2×Q8 | — | 60 | 1 | no | — |
| 577 | C2×D4 | — | 6 | 1 | no | — |
| 578 | C2×D4 | — | 10 | 1 | no | — |
| 579 | C2×D4 | — | 30 | 1 | no | — |
| 580 | C2×D4 | — | 60 | 1 | no | — |
| 581 | C2×D4 | — | 60 | 1 | no | — |
| 582 | C2×D4 | — | 60 | 1 | no | — |
| 583 | Q16 | — | 3 | 1 | no | — |
| 584 | Q16 | — | 6 | 1 | no | — |
| 585 | Q16 | — | 15 | 1 | no | — |
| 586 | Q16 | — | 15 | 1 | no | — |
| 587 | Q16 | — | 30 | 1 | no | — |
| 588 | Q16 | — | 30 | 1 | no | — |
| 589 | Q16 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 590 | SD16 | — | 10 | 1 | no | — |
| 591 | SD16 | — | 30 | 1 | no | — |
| 592 | SD16 | — | 30 | 1 | no | — |
| 593 | SD16 | — | 30 | 1 | no | — |
| 594 | SD16 | — | 30 | 1 | no | — |
| 595 | SD16 | — | 30 | 1 | no | — |
| 596 | D8 | — | 3 | 1 | no | — |
| 597 | D8 | — | 5 | 1 | no | — |
| 598 | D8 | — | 5 | 1 | no | — |
| 599 | D8 | — | 6 | 1 | no | — |
| 600 | D8 | — | 10 | 1 | no | — |
| 601 | D8 | — | 30 | 1 | no | — |
| 602 | D8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 603 | M16 | — | 15 | 1 | no | — |
| 604 | M16 | — | 15 | 1 | no | — |
| 605 | M16 | — | 15 | 1 | no | — |
| 606 | C2×C8 | — | 3 | 1 | no | — |
| 607 | C2×C8 | — | 5 | 1 | no | — |
| 608 | C2×C8 | — | 15 | 1 | no | — |
| 609 | C16 | — | 3 | 1 | no | — |
| 610 | C16 | — | 5 | 1 | no | — |
| 611 | C16 | — | 15 | 1 | no | — |
| 612 | C16 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 613 | C3×C5 | #3416 | 1 | 1 | yes | characteristic, complemented, Hall |
| 614 | C22×C3 | — | 4 | 1 | no | — |
| 615 | C22×C3 | — | 5 | 1 | no | — |
| 616 | C22×C3 | — | 20 | 1 | no | — |
| 617 | C22×C3 | — | 20 | 1 | no | — |
| 618 | C22×C3 | — | 80 | 1 | no | — |
| 619 | C2×D3 | — | 4 | 1 | no | — |
| 620 | C2×D3 | — | 5 | 1 | no | — |
| 621 | C2×D3 | — | 16 | 1 | no | — |
| 622 | C2×D3 | — | 80 | 1 | no | — |
| 623 | C2×D3 | D5×D8 | 1 | 1 | yes | characteristic |
| 624 | C3×C4 | — | 4 | 1 | no | — |
| 625 | C3×C4 | — | 5 | 1 | no | — |
| 626 | C3×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 627 | Dic3 | — | 4 | 1 | no | — |
| 628 | Dic3 | — | 5 | 1 | no | — |
| 629 | Dic3 | — | 20 | 1 | no | — |
| 630 | Dic3 | — | 20 | 1 | no | — |
| 631 | Dic3 | D5×D8 | 1 | 1 | yes | characteristic |
| 632 | C2×C5 | — | 6 | 1 | no | — |
| 633 | C2×C5 | — | 8 | 1 | no | — |
| 634 | C2×C5 | — | 24 | 1 | no | — |
| 635 | C2×C5 | C2×D3×D8 | 1 | 1 | yes | characteristic |
| 636 | D5 | — | 2 | 1 | no | — |
| 637 | D5 | — | 6 | 1 | no | — |
| 638 | D5 | — | 8 | 1 | no | — |
| 639 | D5 | — | 8 | 1 | no | — |
| 640 | C23 | — | 12 | 1 | no | — |
| 641 | C23 | — | 20 | 1 | no | — |
| 642 | C23 | — | 60 | 1 | no | — |
| 643 | Q8 | — | 2 | 1 | no | — |
| 644 | Q8 | — | 6 | 1 | no | — |
| 645 | Q8 | — | 12 | 1 | no | — |
| 646 | Q8 | — | 15 | 1 | no | — |
| 647 | Q8 | — | 30 | 1 | no | — |
| 648 | Q8 | — | 30 | 1 | no | — |
| 649 | Q8 | — | 60 | 1 | no | — |
| 650 | Q8 | — | 60 | 1 | no | — |
| 651 | D4 | — | 2 | 1 | no | — |
| 652 | D4 | — | 6 | 1 | no | — |
| 653 | D4 | — | 10 | 1 | no | — |
| 654 | D4 | — | 10 | 1 | no | — |
| 655 | D4 | — | 12 | 1 | no | — |
| 656 | D4 | — | 15 | 1 | no | — |
| 657 | D4 | — | 15 | 1 | no | — |
| 658 | D4 | — | 15 | 1 | no | — |
| 659 | D4 | — | 20 | 1 | no | — |
| 660 | D4 | — | 20 | 1 | no | — |
| 661 | D4 | — | 60 | 1 | no | — |
| 662 | D4 | — | 60 | 1 | no | — |
| 663 | D4 | — | 60 | 1 | no | — |
| 664 | D4 | — | 60 | 1 | no | — |
| 665 | D4 | — | 60 | 1 | no | — |
| 666 | D4 | — | 60 | 1 | no | — |
| 667 | C2×C4 | — | 3 | 1 | no | — |
| 668 | C2×C4 | — | 5 | 1 | no | — |
| 669 | C2×C4 | — | 12 | 1 | no | — |
| 670 | C2×C4 | — | 15 | 1 | no | — |
| 671 | C2×C4 | — | 20 | 1 | no | — |
| 672 | C2×C4 | — | 60 | 1 | no | — |
| 673 | C2×C4 | — | 60 | 1 | no | — |
| 674 | C2×C4 | — | 60 | 1 | no | — |
| 675 | C2×C4 | — | 60 | 1 | no | — |
| 676 | C2×C4 | — | 60 | 1 | no | — |
| 677 | C2×C4 | — | 60 | 1 | no | — |
| 678 | C2×C4 | — | 60 | 1 | no | — |
| 679 | C8 | — | 3 | 1 | no | — |
| 680 | C8 | — | 5 | 1 | no | — |
| 681 | C8 | — | 15 | 1 | no | — |
| 682 | C8 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 683 | C2×C3 | — | 8 | 1 | no | — |
| 684 | C2×C3 | — | 10 | 1 | no | — |
| 685 | C2×C3 | — | 40 | 1 | no | — |
| 686 | C2×C3 | — | 40 | 1 | no | — |
| 687 | C2×C3 | C2×D5×D8 | 1 | 1 | yes | characteristic |
| 688 | D3 | — | 2 | 1 | no | — |
| 689 | D3 | — | 8 | 1 | no | — |
| 690 | D3 | — | 10 | 1 | no | — |
| 691 | C5 | #82037 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 692 | C22 | — | 3 | 1 | no | — |
| 693 | C22 | — | 4 | 1 | no | — |
| 694 | C22 | — | 5 | 1 | no | — |
| 695 | C22 | — | 12 | 1 | no | — |
| 696 | C22 | — | 15 | 1 | no | — |
| 697 | C22 | — | 20 | 1 | no | — |
| 698 | C22 | — | 20 | 1 | no | — |
| 699 | C22 | — | 48 | 1 | no | — |
| 700 | C22 | — | 80 | 1 | no | — |
| 701 | C22 | — | 240 | 1 | no | — |
| 702 | C4 | — | 3 | 1 | no | — |
| 703 | C4 | — | 4 | 1 | no | — |
| 704 | C4 | — | 5 | 1 | no | — |
| 705 | C4 | — | 12 | 1 | no | — |
| 706 | C4 | — | 15 | 1 | no | — |
| 707 | C4 | — | 60 | 1 | no | — |
| 708 | C4 | — | 60 | 1 | no | — |
| 709 | C4 | D3×D4×D5 | 1 | 1 | yes | characteristic |
| 710 | C3 | #10613755 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 711 | C2 | — | 6 | 1 | no | — |
| 712 | C2 | — | 8 | 1 | no | — |
| 713 | C2 | — | 10 | 1 | no | — |
| 714 | C2 | — | 24 | 1 | no | — |
| 715 | C2 | — | 30 | 1 | no | — |
| 716 | C2 | — | 40 | 1 | no | — |
| 717 | C2 | — | 40 | 1 | no | — |
| 718 | C2 | D3×D5×D8 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta