| 1 | C2×#91992 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#91914 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11755159 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C3×#65787 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11751925 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11751903 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11751882 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | D5⋊(Dic3⋊C8) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11751814 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11751779 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | Dic3×#700 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10617373 | — | 3 | 1 | no | maximal, Hall |
| 13 | C2×C3×#713 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#6773 | C22 | 1 | 1 | yes | characteristic |
| 15 | #91992 | — | 2 | 4 | no | — |
| 16 | C2×#6758 | C22 | 1 | 2 | yes | — |
| 17 | C2×#6758 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×D5⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×D5⋊(C3⋊C8) | C22 | 1 | 2 | yes | — |
| 20 | C2×C3×#700 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×C3×D5⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#6740 | C22 | 1 | 2 | yes | — |
| 23 | C2×#6738 | C22 | 1 | 2 | yes | — |
| 24 | #91914 | — | 2 | 4 | no | — |
| 25 | #91836 | C4 | 1 | 1 | yes | characteristic |
| 26 | C5×#944 | C4 | 1 | 1 | yes | characteristic |
| 27 | #91458 | C4 | 1 | 1 | yes | characteristic |
| 28 | #91444 | C22 | 1 | 2 | yes | — |
| 29 | #91444 | C22 | 1 | 2 | yes | — |
| 30 | #91409 | C4 | 1 | 2 | yes | — |
| 31 | #91409 | C4 | 1 | 2 | yes | — |
| 32 | C4×D5×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 33 | #91368 | C4 | 1 | 1 | yes | characteristic |
| 34 | C3×#4003 | C22 | 1 | 2 | yes | — |
| 35 | C3×#4003 | C22 | 1 | 2 | yes | — |
| 36 | #91177 | C22 | 1 | 1 | yes | characteristic |
| 37 | #91177 | C22 | 1 | 1 | yes | characteristic |
| 38 | Dic3⋊#170 | C22 | 1 | 1 | yes | characteristic |
| 39 | Dic3⋊#170 | C22 | 1 | 1 | yes | characteristic |
| 40 | #91171 | C22 | 1 | 2 | yes | — |
| 41 | #91171 | C22 | 1 | 2 | yes | — |
| 42 | #91169 | C22 | 1 | 2 | yes | — |
| 43 | Dic3×#170 | C22 | 1 | 2 | yes | — |
| 44 | #78660 | — | 5 | 1 | no | maximal, Hall |
| 45 | C2×#4133 | — | 3 | 1 | no | — |
| 46 | C2×#4133 | — | 3 | 1 | no | — |
| 47 | #66059 | — | 3 | 1 | no | — |
| 48 | #65787 | — | 3 | 1 | no | — |
| 49 | #65787 | D3 | 1 | 1 | yes | characteristic, complemented |
| 50 | #65705 | — | 3 | 2 | no | — |
| 51 | #65704 | — | 3 | 2 | no | — |
| 52 | #65704 | — | 3 | 2 | no | — |
| 53 | #65702 | — | 3 | 2 | no | — |
| 54 | D5⋊(C4⋊C8) | — | 3 | 1 | no | — |
| 55 | C4×#700 | — | 3 | 1 | no | — |
| 56 | C2×C3×C5×Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 57 | C2×D60 | C2×C4 | 1 | 1 | yes | characteristic |
| 58 | C2×C5×Dic6 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | C3×#713 | — | 2 | 2 | no | — |
| 60 | C3×#713 | — | 2 | 2 | no | — |
| 61 | C2×C3×D20 | C2×C4 | 1 | 2 | yes | — |
| 62 | C2×C3×D20 | C2×C4 | 1 | 1 | yes | characteristic |
| 63 | C2×C3×C4×D5 | C23 | 1 | 2 | yes | — |
| 64 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 65 | C2×#1202 | C2×C4 | 1 | 2 | yes | — |
| 66 | C2×#1202 | C2×C4 | 1 | 2 | yes | — |
| 67 | C2×#1202 | C2×C4 | 1 | 2 | yes | — |
| 68 | C2×#1200 | C23 | 1 | 2 | yes | — |
| 69 | C2×D5×Dic3 | C2×C4 | 1 | 1 | yes | characteristic |
| 70 | C2×D5×Dic3 | C2×C4 | 1 | 1 | yes | characteristic |
| 71 | #6773 | — | 2 | 2 | no | — |
| 72 | #6773 | — | 2 | 2 | no | — |
| 73 | C2×C3⋊#170 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×C3⋊#170 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×C3⋊#170 | C23 | 1 | 2 | yes | — |
| 76 | #6758 | — | 2 | 4 | no | — |
| 77 | #6758 | D4 | 1 | 4 | yes | complemented |
| 78 | D5⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 79 | D5⋊(C3⋊C8) | — | 2 | 4 | no | — |
| 80 | C2×C3×#170 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×C3×#170 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×C3×#170 | C23 | 1 | 2 | yes | — |
| 83 | C3×#700 | — | 2 | 2 | no | — |
| 84 | C3×D5⋊C8 | — | 2 | 2 | no | — |
| 85 | #6740 | — | 2 | 4 | no | — |
| 86 | #6738 | — | 2 | 4 | no | — |
| 87 | #6714 | C2×C4 | 1 | 2 | yes | — |
| 88 | #6714 | C2×C4 | 1 | 2 | yes | — |
| 89 | C4×Dic15 | C2×C4 | 1 | 1 | yes | characteristic |
| 90 | C5×Dic3⋊C4 | C2×C4 | 1 | 2 | yes | — |
| 91 | C5×Dic3⋊C4 | C2×C4 | 1 | 2 | yes | — |
| 92 | C4×C5×Dic3 | C2×C4 | 1 | 1 | yes | characteristic |
| 93 | #6665 | C2×C4 | 1 | 2 | yes | — |
| 94 | #6665 | C2×C4 | 1 | 2 | yes | — |
| 95 | Dic3×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 96 | Dic3×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 97 | #5832 | — | 5 | 1 | no | — |
| 98 | C2×#948 | — | 5 | 1 | no | — |
| 99 | C2×#901 | — | 5 | 1 | no | — |
| 100 | C3×#408 | — | 5 | 1 | no | — |
| 101 | #5129 | — | 5 | 1 | no | — |
| 102 | Dic3×M16 | — | 5 | 1 | no | — |
| 103 | C2×Dic3⋊C8 | — | 5 | 1 | no | — |
| 104 | #4730 | — | 5 | 2 | no | — |
| 105 | #4729 | — | 5 | 2 | no | — |
| 106 | #4728 | — | 5 | 2 | no | — |
| 107 | #67⋊C8 | — | 5 | 2 | no | — |
| 108 | C2×#713 | — | 3 | 1 | no | — |
| 109 | C2×#713 | C2×D3 | 1 | 1 | yes | characteristic |
| 110 | #4133 | — | 6 | 4 | no | — |
| 111 | #4133 | — | 6 | 4 | no | — |
| 112 | C2×#700 | — | 3 | 1 | no | — |
| 113 | C2×#700 | — | 3 | 2 | no | — |
| 114 | C2×#700 | — | 3 | 2 | no | — |
| 115 | C2×#700 | C2×D3 | 1 | 1 | yes | characteristic |
| 116 | C2×D5⋊C8 | — | 3 | 1 | no | — |
| 117 | C2×D5⋊C8 | — | 3 | 2 | no | — |
| 118 | C2×D5⋊C8 | — | 3 | 2 | no | — |
| 119 | C2×D5⋊C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 120 | C5×C4⋊Q8 | — | 3 | 1 | no | — |
| 121 | #4093 | — | 3 | 1 | no | — |
| 122 | #4093 | — | 3 | 1 | no | — |
| 123 | #4041 | — | 3 | 2 | no | — |
| 124 | #4041 | — | 3 | 2 | no | — |
| 125 | #4039 | — | 3 | 2 | no | — |
| 126 | #4039 | — | 3 | 2 | no | — |
| 127 | #4020 | — | 3 | 1 | no | — |
| 128 | C42×D5 | — | 3 | 1 | no | — |
| 129 | #4004 | — | 3 | 1 | no | — |
| 130 | #4004 | — | 3 | 1 | no | — |
| 131 | #4003 | — | 3 | 2 | no | — |
| 132 | #4003 | — | 3 | 2 | no | — |
| 133 | #4003 | C2×D3 | 1 | 2 | yes | — |
| 134 | #4003 | C2×D3 | 1 | 2 | yes | — |
| 135 | #4002 | — | 3 | 2 | no | — |
| 136 | C4⋊#170 | — | 3 | 1 | no | — |
| 137 | C4⋊#170 | — | 3 | 1 | no | — |
| 138 | C4×#170 | — | 3 | 2 | no | — |
| 139 | #2935 | — | 15 | 1 | no | Sylow |
| 140 | C22×D15 | C22×C4 | 1 | 2 | yes | — |
| 141 | C22×C3×D5 | C22×C4 | 1 | 2 | yes | — |
| 142 | C22×C3×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 143 | C3×C5×Q8 | — | 2 | 2 | no | — |
| 144 | C2×C3×C4×C5 | C22×C4 | 1 | 2 | yes | — |
| 145 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 146 | C2×Dic15 | C22×C4 | 1 | 1 | yes | characteristic |
| 147 | C2×Dic15 | C22×C4 | 1 | 1 | yes | characteristic |
| 148 | D60 | — | 2 | 2 | no | — |
| 149 | C2×C5×Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 150 | C2×C5×Dic3 | C22×C4 | 1 | 2 | yes | — |
| 151 | C2×C5×Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 152 | C5×Dic6 | — | 2 | 2 | no | — |
| 153 | C2×C3×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 154 | C3×D20 | — | 2 | 4 | no | — |
| 155 | C3×D20 | — | 2 | 2 | no | — |
| 156 | C3×C4×D5 | — | 2 | 2 | no | — |
| 157 | C3×C4×D5 | — | 2 | 2 | no | — |
| 158 | C3×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 159 | C3×C4×D5 | #41 | 1 | 2 | yes | — |
| 160 | #1202 | — | 2 | 4 | no | — |
| 161 | #1202 | — | 2 | 4 | no | — |
| 162 | #1202 | — | 4 | 2 | no | — |
| 163 | #1200 | — | 2 | 2 | no | — |
| 164 | #1200 | — | 2 | 2 | no | — |
| 165 | D5×Dic3 | — | 2 | 2 | no | — |
| 166 | D5×Dic3 | — | 4 | 1 | no | — |
| 167 | C3⋊#170 | — | 2 | 1 | no | — |
| 168 | C3⋊#170 | — | 2 | 1 | no | — |
| 169 | C3⋊#170 | C2×D4 | 1 | 4 | yes | — |
| 170 | C3×#170 | — | 2 | 1 | no | — |
| 171 | C3×#170 | — | 2 | 1 | no | — |
| 172 | C3×#170 | — | 2 | 2 | no | — |
| 173 | C2×C3×#41 | — | 5 | 1 | no | — |
| 174 | C2×#235 | — | 5 | 1 | no | — |
| 175 | C2×C3×M16 | — | 5 | 1 | no | — |
| 176 | C22×C3×C8 | — | 5 | 1 | no | — |
| 177 | #948 | — | 10 | 4 | no | — |
| 178 | #947 | — | 5 | 1 | no | — |
| 179 | #944 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 180 | #940 | — | 5 | 1 | no | — |
| 181 | #939 | — | 5 | 2 | no | — |
| 182 | #939 | — | 5 | 2 | no | — |
| 183 | #936 | — | 5 | 1 | no | — |
| 184 | C4×#67 | — | 5 | 2 | no | — |
| 185 | C4×#67 | — | 5 | 2 | no | — |
| 186 | C2×C4×Dic3 | — | 5 | 1 | no | — |
| 187 | C2×#208 | — | 5 | 1 | no | — |
| 188 | C2×#208 | — | 5 | 2 | no | — |
| 189 | C22×C3⋊C8 | — | 5 | 1 | no | — |
| 190 | C22×C3⋊C8 | — | 5 | 2 | no | — |
| 191 | #901 | — | 10 | 4 | no | — |
| 192 | C2×ΓL(1,𝔽25) | — | 5 | 2 | no | — |
| 193 | C2×D3×C8 | — | 5 | 2 | no | — |
| 194 | C3×C22⋊C8 | — | 5 | 2 | no | — |
| 195 | C3×C22⋊C8 | — | 5 | 2 | no | — |
| 196 | (C2×D3)⋊C8 | — | 5 | 2 | no | — |
| 197 | (C2×D3)⋊C8 | — | 5 | 2 | no | — |
| 198 | #815 | — | 5 | 2 | no | — |
| 199 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 200 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 201 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 202 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 203 | C8×Dic3 | — | 5 | 2 | no | — |
| 204 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 205 | C2×C5×Q8 | C4×D3 | 1 | 1 | yes | characteristic |
| 206 | #713 | — | 2 | 2 | no | — |
| 207 | #713 | — | 2 | 2 | no | — |
| 208 | #713 | — | 6 | 2 | no | — |
| 209 | #713 | — | 6 | 2 | no | — |
| 210 | C2×D20 | — | 3 | 2 | no | — |
| 211 | C2×D20 | — | 3 | 2 | no | — |
| 212 | C2×D20 | — | 3 | 1 | no | — |
| 213 | C2×D20 | — | 3 | 2 | no | — |
| 214 | C2×D20 | C4×D3 | 1 | 1 | yes | characteristic |
| 215 | C2×D20 | C4×D3 | 1 | 2 | yes | — |
| 216 | C2×C4×D5 | — | 3 | 1 | no | — |
| 217 | C2×C4×D5 | — | 3 | 2 | no | — |
| 218 | C2×C4×D5 | — | 3 | 1 | no | — |
| 219 | C2×C4×D5 | C22×D3 | 1 | 2 | yes | — |
| 220 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 221 | C2×#170 | — | 3 | 2 | no | — |
| 222 | C2×#170 | — | 3 | 1 | no | — |
| 223 | C2×#170 | — | 3 | 1 | no | — |
| 224 | C2×#170 | C22×D3 | 1 | 1 | yes | characteristic |
| 225 | C2×#170 | C22×D3 | 1 | 1 | yes | characteristic |
| 226 | C2×#170 | C22×D3 | 1 | 2 | yes | — |
| 227 | #700 | — | 2 | 2 | no | — |
| 228 | #700 | — | 3 | 4 | no | — |
| 229 | #700 | — | 6 | 4 | no | — |
| 230 | #700 | — | 6 | 4 | no | — |
| 231 | D5⋊C8 | — | 2 | 2 | no | — |
| 232 | D5⋊C8 | — | 6 | 4 | no | — |
| 233 | D5⋊C8 | — | 6 | 4 | no | — |
| 234 | D5⋊C8 | — | 6 | 2 | no | — |
| 235 | C5×C4⋊C4 | — | 3 | 2 | no | — |
| 236 | C5×C4⋊C4 | — | 3 | 2 | no | — |
| 237 | C42×C5 | — | 3 | 1 | no | — |
| 238 | #685 | — | 3 | 2 | no | — |
| 239 | #685 | — | 3 | 2 | no | — |
| 240 | #685 | — | 3 | 2 | no | — |
| 241 | #685 | — | 3 | 2 | no | — |
| 242 | C4×Dic5 | — | 3 | 1 | no | — |
| 243 | C4×Dic5 | — | 3 | 1 | no | — |
| 244 | C4×Dic5 | — | 3 | 1 | no | — |
| 245 | C2×#131 | — | 15 | 1 | no | — |
| 246 | C2×#131 | — | 15 | 1 | no | — |
| 247 | #532 | — | 15 | 1 | no | — |
| 248 | #436 | — | 15 | 2 | no | — |
| 249 | #435 | — | 15 | 2 | no | — |
| 250 | #435 | — | 15 | 2 | no | — |
| 251 | C8×D4 | — | 15 | 2 | no | — |
| 252 | C2×C4⋊C8 | — | 15 | 1 | no | — |
| 253 | #408 | — | 5 | 1 | no | — |
| 254 | #408 | — | 15 | 1 | no | — |
| 255 | C4×M16 | — | 15 | 1 | no | — |
| 256 | C22×C3×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 257 | C2×D15 | — | 2 | 2 | no | — |
| 258 | C2×D15 | — | 2 | 2 | no | — |
| 259 | C2×D15 | — | 2 | 2 | no | — |
| 260 | C2×C3×D5 | — | 2 | 1 | no | — |
| 261 | C2×C3×D5 | — | 2 | 1 | no | — |
| 262 | C2×C3×D5 | — | 2 | 2 | no | — |
| 263 | C2×C3×D5 | — | 2 | 2 | no | — |
| 264 | C2×C3×D5 | — | 2 | 2 | no | — |
| 265 | C2×C3×D5 | C4×D4 | 1 | 2 | yes | — |
| 266 | C3×C4×C5 | — | 2 | 2 | no | — |
| 267 | C3×C4×C5 | C4×D4 | 1 | 2 | yes | — |
| 268 | Dic15 | — | 2 | 1 | no | — |
| 269 | Dic15 | — | 2 | 1 | no | — |
| 270 | C3×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 271 | C3×Dic5 | C2×#41 | 1 | 1 | yes | characteristic |
| 272 | C5×Dic3 | — | 2 | 2 | no | — |
| 273 | C5×Dic3 | — | 2 | 1 | no | — |
| 274 | C5×Dic3 | #131 | 1 | 2 | yes | complemented |
| 275 | C3×#41 | — | 10 | 2 | no | — |
| 276 | C3×#41 | — | 10 | 2 | no | — |
| 277 | C2×C3×Q8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 278 | C2×C3×D4 | — | 5 | 1 | no | — |
| 279 | C2×C3×D4 | — | 5 | 2 | no | — |
| 280 | C22×C3×C4 | — | 5 | 1 | no | — |
| 281 | C22×C3×C4 | — | 5 | 2 | no | — |
| 282 | C2×#67 | — | 5 | 2 | no | — |
| 283 | C2×#67 | — | 5 | 2 | no | — |
| 284 | C2×#67 | — | 5 | 2 | no | — |
| 285 | C22×Dic3 | — | 5 | 1 | no | — |
| 286 | C22×Dic3 | — | 5 | 1 | no | — |
| 287 | #235 | — | 10 | 2 | no | — |
| 288 | #235 | — | 10 | 2 | no | — |
| 289 | C2×D12 | — | 5 | 1 | no | — |
| 290 | C2×C4×D3 | — | 5 | 2 | no | — |
| 291 | C2×Dic6 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 292 | C3×M16 | — | 10 | 2 | no | — |
| 293 | C2×C3×C8 | — | 5 | 2 | no | — |
| 294 | C2×C3×C8 | — | 5 | 1 | no | — |
| 295 | C2×C3×C8 | — | 5 | 1 | no | — |
| 296 | C2×C3×C8 | — | 10 | 2 | no | — |
| 297 | #217 | — | 5 | 2 | no | — |
| 298 | #217 | — | 5 | 2 | no | — |
| 299 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 300 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 301 | Dic3⋊C4 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 302 | Dic3⋊C4 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 303 | C4×Dic3 | — | 5 | 1 | no | — |
| 304 | C4×Dic3 | — | 5 | 1 | no | — |
| 305 | C4×Dic3 | — | 5 | 1 | no | — |
| 306 | C4×Dic3 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 307 | #208 | — | 5 | 4 | no | — |
| 308 | #208 | — | 10 | 4 | no | — |
| 309 | C2×C3⋊C8 | — | 5 | 2 | no | — |
| 310 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 311 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 312 | C2×C3⋊C8 | — | 10 | 4 | no | — |
| 313 | C2×C3⋊C8 | — | 10 | 2 | no | — |
| 314 | ΓL(1,𝔽25) | — | 10 | 4 | no | — |
| 315 | D3×C8 | — | 10 | 4 | no | — |
| 316 | C22×D5 | — | 3 | 2 | no | — |
| 317 | C22×D5 | C2×C4×D3 | 1 | 2 | yes | — |
| 318 | C22×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 319 | C5×Q8 | — | 2 | 2 | no | — |
| 320 | C5×Q8 | — | 6 | 2 | no | — |
| 321 | C2×C4×C5 | — | 3 | 1 | no | — |
| 322 | C2×C4×C5 | — | 3 | 1 | no | — |
| 323 | C2×C4×C5 | — | 3 | 2 | no | — |
| 324 | C2×C4×C5 | C2×C4×D3 | 1 | 2 | yes | — |
| 325 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 326 | C2×Dic5 | — | 3 | 1 | no | — |
| 327 | C2×Dic5 | — | 3 | 1 | no | — |
| 328 | C2×Dic5 | C23×D3 | 1 | 1 | yes | characteristic |
| 329 | D20 | — | 2 | 4 | no | — |
| 330 | D20 | — | 2 | 2 | no | — |
| 331 | D20 | — | 6 | 4 | no | — |
| 332 | D20 | — | 6 | 4 | no | — |
| 333 | D20 | — | 6 | 2 | no | — |
| 334 | D20 | — | 12 | 2 | no | — |
| 335 | C4×D5 | — | 2 | 2 | no | — |
| 336 | C4×D5 | — | 2 | 2 | no | — |
| 337 | C4×D5 | — | 6 | 2 | no | — |
| 338 | C4×D5 | — | 6 | 2 | no | — |
| 339 | C4×D5 | — | 6 | 2 | no | — |
| 340 | C4×D5 | — | 12 | 1 | no | — |
| 341 | C4×D5 | D3×D4 | 1 | 2 | yes | — |
| 342 | C4×D5 | #237 | 1 | 2 | yes | — |
| 343 | #170 | — | 2 | 1 | no | — |
| 344 | #170 | — | 2 | 1 | no | — |
| 345 | #170 | — | 2 | 2 | no | — |
| 346 | #170 | — | 3 | 4 | no | — |
| 347 | #170 | — | 6 | 1 | no | — |
| 348 | #170 | — | 6 | 1 | no | — |
| 349 | C2×#41 | — | 5 | 1 | no | — |
| 350 | C2×#41 | — | 15 | 1 | no | — |
| 351 | #131 | — | 30 | 4 | no | — |
| 352 | #131 | — | 30 | 4 | no | — |
| 353 | C2×M16 | — | 5 | 1 | no | — |
| 354 | C2×M16 | — | 15 | 2 | no | — |
| 355 | C2×M16 | — | 15 | 1 | no | — |
| 356 | C2×M16 | — | 15 | 2 | no | — |
| 357 | C22×C8 | — | 5 | 1 | no | — |
| 358 | C22×C8 | — | 15 | 2 | no | — |
| 359 | C22×C8 | — | 15 | 1 | no | — |
| 360 | C22×C8 | — | 15 | 2 | no | — |
| 361 | C4⋊Q8 | — | 3 | 1 | no | — |
| 362 | #127 | — | 15 | 1 | no | — |
| 363 | #124 | — | 15 | 1 | no | — |
| 364 | #124 | — | 15 | 1 | no | — |
| 365 | #121 | — | 15 | 2 | no | — |
| 366 | #121 | — | 15 | 2 | no | — |
| 367 | C4×D4 | — | 15 | 2 | no | — |
| 368 | C4×D4 | — | 15 | 2 | no | — |
| 369 | C2×C42 | — | 15 | 1 | no | — |
| 370 | C4⋊C8 | — | 15 | 1 | no | — |
| 371 | C4⋊C8 | — | 15 | 1 | no | — |
| 372 | C4⋊C8 | — | 15 | 1 | no | — |
| 373 | C4⋊C8 | — | 15 | 1 | no | — |
| 374 | C22⋊C8 | — | 5 | 2 | no | — |
| 375 | C22⋊C8 | — | 5 | 2 | no | — |
| 376 | C22⋊C8 | — | 15 | 2 | no | — |
| 377 | C22⋊C8 | — | 15 | 2 | no | — |
| 378 | #97 | — | 15 | 2 | no | — |
| 379 | C4×C8 | — | 15 | 2 | no | — |
| 380 | C2×C3×C5 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 381 | C2×C3×C5 | C2×#131 | 1 | 1 | yes | characteristic |
| 382 | C2×C3×C5 | #568 | 1 | 1 | yes | characteristic |
| 383 | D15 | — | 4 | 2 | no | — |
| 384 | C3×D5 | — | 2 | 2 | no | — |
| 385 | C3×D5 | — | 4 | 2 | no | — |
| 386 | C23×C3 | — | 5 | 1 | no | — |
| 387 | C23×C3 | — | 5 | 2 | no | — |
| 388 | C22×D3 | — | 5 | 2 | no | — |
| 389 | C3×Q8 | — | 2 | 2 | no | — |
| 390 | C3×D4 | — | 10 | 4 | no | — |
| 391 | C3×D4 | — | 10 | 2 | no | — |
| 392 | C2×C3×C4 | — | 5 | 1 | no | — |
| 393 | C2×C3×C4 | — | 5 | 2 | no | — |
| 394 | C2×C3×C4 | — | 5 | 2 | no | — |
| 395 | C2×C3×C4 | — | 10 | 2 | no | — |
| 396 | C2×C3×C4 | — | 10 | 2 | no | — |
| 397 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 398 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 399 | #67 | — | 10 | 4 | no | — |
| 400 | #67 | — | 10 | 4 | no | — |
| 401 | #67 | — | 20 | 2 | no | — |
| 402 | C2×Dic3 | — | 5 | 1 | no | — |
| 403 | C2×Dic3 | — | 5 | 1 | no | — |
| 404 | C2×Dic3 | — | 10 | 2 | no | — |
| 405 | C2×Dic3 | — | 20 | 1 | no | — |
| 406 | C2×Dic3 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 407 | C2×Dic3 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 408 | C2×Dic3 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 409 | D12 | — | 10 | 2 | no | — |
| 410 | C4×D3 | — | 10 | 2 | no | — |
| 411 | C4×D3 | — | 10 | 2 | no | — |
| 412 | Dic6 | — | 2 | 2 | no | — |
| 413 | C3×C8 | — | 10 | 1 | no | — |
| 414 | C3×C8 | — | 10 | 1 | no | — |
| 415 | C3×C8 | — | 10 | 2 | no | — |
| 416 | C3⋊C8 | — | 5 | 4 | no | — |
| 417 | C3⋊C8 | — | 10 | 1 | no | — |
| 418 | C3⋊C8 | — | 10 | 1 | no | — |
| 419 | C22×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 420 | C2×D5 | — | 2 | 1 | no | — |
| 421 | C2×D5 | — | 2 | 1 | no | — |
| 422 | C2×D5 | — | 2 | 2 | no | — |
| 423 | C2×D5 | — | 2 | 2 | no | — |
| 424 | C2×D5 | — | 2 | 2 | no | — |
| 425 | C2×D5 | — | 6 | 2 | no | — |
| 426 | C2×D5 | — | 6 | 2 | no | — |
| 427 | C2×D5 | — | 6 | 2 | no | — |
| 428 | C2×D5 | #67⋊C4 | 1 | 2 | yes | — |
| 429 | C4×C5 | — | 2 | 2 | no | — |
| 430 | C4×C5 | — | 3 | 2 | no | — |
| 431 | C4×C5 | — | 6 | 2 | no | — |
| 432 | C4×C5 | — | 6 | 1 | no | — |
| 433 | C4×C5 | #67⋊C4 | 1 | 2 | yes | — |
| 434 | Dic5 | — | 6 | 1 | no | — |
| 435 | Dic5 | — | 6 | 1 | no | — |
| 436 | Dic5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 437 | Dic5 | C2×#237 | 1 | 1 | yes | characteristic |
| 438 | #41 | — | 10 | 2 | no | — |
| 439 | #41 | — | 10 | 2 | no | — |
| 440 | #41 | — | 30 | 2 | no | — |
| 441 | #41 | — | 30 | 2 | no | — |
| 442 | C2×Q8 | — | 3 | 1 | no | — |
| 443 | C2×Q8 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 444 | C2×D4 | — | 5 | 2 | no | — |
| 445 | C2×D4 | — | 5 | 1 | no | — |
| 446 | C2×D4 | — | 15 | 2 | no | — |
| 447 | C2×D4 | — | 15 | 2 | no | — |
| 448 | C2×D4 | — | 15 | 2 | no | — |
| 449 | C2×D4 | — | 15 | 1 | no | — |
| 450 | C22×C4 | — | 5 | 1 | no | — |
| 451 | C22×C4 | — | 5 | 2 | no | — |
| 452 | C22×C4 | — | 15 | 2 | no | — |
| 453 | C22×C4 | — | 15 | 1 | no | — |
| 454 | C22×C4 | — | 15 | 1 | no | — |
| 455 | M16 | — | 10 | 2 | no | — |
| 456 | M16 | — | 15 | 4 | no | — |
| 457 | M16 | — | 30 | 4 | no | — |
| 458 | M16 | — | 30 | 4 | no | — |
| 459 | C2×C8 | — | 5 | 2 | no | — |
| 460 | C2×C8 | — | 5 | 1 | no | — |
| 461 | C2×C8 | — | 5 | 1 | no | — |
| 462 | C2×C8 | — | 10 | 2 | no | — |
| 463 | C2×C8 | — | 15 | 2 | no | — |
| 464 | C2×C8 | — | 15 | 1 | no | — |
| 465 | C2×C8 | — | 15 | 1 | no | — |
| 466 | C2×C8 | — | 30 | 4 | no | — |
| 467 | C2×C8 | — | 30 | 4 | no | — |
| 468 | C2×C8 | — | 30 | 2 | no | — |
| 469 | C4⋊C4 | — | 3 | 2 | no | — |
| 470 | C4⋊C4 | — | 3 | 2 | no | — |
| 471 | C22⋊C4 | — | 15 | 2 | no | — |
| 472 | C22⋊C4 | — | 15 | 2 | no | — |
| 473 | C22⋊C4 | — | 15 | 2 | no | — |
| 474 | C22⋊C4 | — | 15 | 2 | no | — |
| 475 | C42 | — | 3 | 1 | no | — |
| 476 | C42 | — | 15 | 1 | no | — |
| 477 | C42 | — | 15 | 1 | no | — |
| 478 | C42 | — | 15 | 1 | no | — |
| 479 | C3×C5 | #2935 | 1 | 1 | yes | characteristic, complemented, Hall |
| 480 | C22×C3 | — | 5 | 2 | no | — |
| 481 | C22×C3 | — | 10 | 1 | no | — |
| 482 | C22×C3 | — | 10 | 1 | no | — |
| 483 | C22×C3 | — | 10 | 2 | no | — |
| 484 | C22×C3 | — | 10 | 2 | no | — |
| 485 | C22×C3 | — | 10 | 2 | no | — |
| 486 | C22×C3 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 487 | C2×D3 | — | 10 | 2 | no | — |
| 488 | C2×D3 | — | 10 | 2 | no | — |
| 489 | C2×D3 | — | 10 | 2 | no | — |
| 490 | C3×C4 | — | 2 | 2 | no | — |
| 491 | C3×C4 | — | 5 | 1 | no | — |
| 492 | C3×C4 | — | 5 | 1 | no | — |
| 493 | C3×C4 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 494 | Dic3 | — | 2 | 2 | no | — |
| 495 | Dic3 | — | 2 | 1 | no | — |
| 496 | Dic3 | — | 10 | 1 | no | — |
| 497 | Dic3 | — | 10 | 1 | no | — |
| 498 | Dic3 | #4133 | 1 | 2 | yes | complemented |
| 499 | C2×C5 | C2×#67⋊C4 | 1 | 1 | yes | characteristic |
| 500 | C2×C5 | D3×#131 | 1 | 1 | yes | characteristic |
| 501 | C2×C5 | #5750 | 1 | 1 | yes | characteristic |
| 502 | D5 | — | 2 | 2 | no | — |
| 503 | D5 | — | 4 | 2 | no | — |
| 504 | D5 | — | 12 | 2 | no | — |
| 505 | C23 | — | 5 | 1 | no | — |
| 506 | C23 | — | 5 | 2 | no | — |
| 507 | C23 | — | 15 | 2 | no | — |
| 508 | Q8 | — | 2 | 2 | no | — |
| 509 | Q8 | — | 6 | 2 | no | — |
| 510 | D4 | — | 10 | 4 | no | — |
| 511 | D4 | — | 10 | 2 | no | — |
| 512 | D4 | — | 30 | 4 | no | — |
| 513 | D4 | — | 30 | 4 | no | — |
| 514 | D4 | — | 30 | 2 | no | — |
| 515 | D4 | — | 60 | 2 | no | — |
| 516 | C2×C4 | — | 3 | 1 | no | — |
| 517 | C2×C4 | — | 3 | 1 | no | — |
| 518 | C2×C4 | — | 3 | 2 | no | — |
| 519 | C2×C4 | — | 5 | 1 | no | — |
| 520 | C2×C4 | — | 5 | 2 | no | — |
| 521 | C2×C4 | — | 5 | 2 | no | — |
| 522 | C2×C4 | — | 10 | 2 | no | — |
| 523 | C2×C4 | — | 10 | 2 | no | — |
| 524 | C2×C4 | — | 15 | 1 | no | — |
| 525 | C2×C4 | — | 15 | 1 | no | — |
| 526 | C2×C4 | — | 30 | 2 | no | — |
| 527 | C2×C4 | — | 30 | 2 | no | — |
| 528 | C2×C4 | — | 30 | 2 | no | — |
| 529 | C2×C4 | — | 60 | 1 | no | — |
| 530 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 531 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 532 | C8 | — | 10 | 1 | no | — |
| 533 | C8 | — | 10 | 1 | no | — |
| 534 | C8 | — | 10 | 2 | no | — |
| 535 | C8 | — | 15 | 4 | no | — |
| 536 | C8 | — | 30 | 1 | no | — |
| 537 | C8 | — | 30 | 1 | no | — |
| 538 | C2×C3 | — | 10 | 2 | no | — |
| 539 | C2×C3 | — | 20 | 2 | no | — |
| 540 | C2×C3 | C2×D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 541 | C2×C3 | C2×#4133 | 1 | 1 | yes | characteristic |
| 542 | C2×C3 | #66260 | 1 | 1 | yes | characteristic |
| 543 | D3 | — | 20 | 2 | no | — |
| 544 | C5 | #78660 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 545 | C22 | — | 5 | 2 | no | — |
| 546 | C22 | — | 10 | 1 | no | — |
| 547 | C22 | — | 10 | 1 | no | — |
| 548 | C22 | — | 10 | 2 | no | — |
| 549 | C22 | — | 10 | 2 | no | — |
| 550 | C22 | — | 10 | 2 | no | — |
| 551 | C22 | — | 30 | 2 | no | — |
| 552 | C22 | — | 30 | 2 | no | — |
| 553 | C22 | — | 30 | 2 | no | — |
| 554 | C22 | C22×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 555 | C4 | — | 2 | 2 | no | — |
| 556 | C4 | — | 3 | 2 | no | — |
| 557 | C4 | — | 5 | 1 | no | — |
| 558 | C4 | — | 5 | 1 | no | — |
| 559 | C4 | — | 6 | 1 | no | — |
| 560 | C4 | — | 6 | 2 | no | — |
| 561 | C4 | — | 30 | 1 | no | — |
| 562 | C4 | — | 30 | 1 | no | — |
| 563 | C4 | #67⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 564 | C3 | #10617373 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 565 | C2 | — | 10 | 2 | no | — |
| 566 | C2 | — | 20 | 2 | no | — |
| 567 | C2 | — | 60 | 2 | no | — |
| 568 | C2 | D3×#4133 | 1 | 1 | yes | characteristic |
| 569 | C2 | #11756851 | 1 | 1 | yes | characteristic |
| 570 | C2 | C2×#67⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta