| 1 | D3×#4033 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11752366 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#65707 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11751921 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #11751920 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #11751920 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #11751907 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #11751907 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | C4×#6739 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #11751784 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11751778 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11751771 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11751766 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11751761 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11751758 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10617088 | — | 3 | 1 | no | maximal, Hall |
| 17 | C2×D3×Dic10 | C4 | 1 | 1 | yes | characteristic |
| 18 | C2×#6739 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#6739 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#6739 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#6739 | C22 | 1 | 1 | yes | characteristic |
| 22 | #91776 | C4 | 1 | 1 | yes | characteristic |
| 23 | C5×D3×C4⋊C4 | C4 | 1 | 1 | yes | characteristic |
| 24 | C3×#4033 | C22 | 1 | 1 | yes | characteristic |
| 25 | D3×#683 | C4 | 1 | 1 | yes | characteristic |
| 26 | D3×#683 | C4 | 1 | 1 | yes | characteristic |
| 27 | C4×D3×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 28 | C4×D3×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 29 | C4×D3×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 30 | #91333 | C22 | 1 | 1 | yes | characteristic |
| 31 | #91331 | C4 | 1 | 1 | yes | characteristic |
| 32 | #91325 | C4 | 1 | 1 | yes | characteristic |
| 33 | #91325 | C4 | 1 | 1 | yes | characteristic |
| 34 | #91323 | C22 | 1 | 1 | yes | characteristic |
| 35 | #91323 | C22 | 1 | 1 | yes | characteristic |
| 36 | #91233 | C22 | 1 | 1 | yes | characteristic |
| 37 | #91233 | C22 | 1 | 1 | yes | characteristic |
| 38 | #91231 | C22 | 1 | 1 | yes | characteristic |
| 39 | #91231 | C22 | 1 | 1 | yes | characteristic |
| 40 | C4⋊(C3⋊#170) | C22 | 1 | 1 | yes | characteristic |
| 41 | C4×C3⋊#170 | C22 | 1 | 1 | yes | characteristic |
| 42 | C3×#4004 | C22 | 1 | 1 | yes | characteristic |
| 43 | C3×#4004 | C22 | 1 | 1 | yes | characteristic |
| 44 | C3×#4002 | C22 | 1 | 1 | yes | characteristic |
| 45 | C3×#4002 | C22 | 1 | 1 | yes | characteristic |
| 46 | C3×C4⋊#170 | C22 | 1 | 1 | yes | characteristic |
| 47 | C3×C4×#170 | C22 | 1 | 1 | yes | characteristic |
| 48 | #91177 | C22 | 1 | 1 | yes | characteristic |
| 49 | #91177 | C22 | 1 | 1 | yes | characteristic |
| 50 | Dic3⋊#170 | C22 | 1 | 1 | yes | characteristic |
| 51 | Dic3⋊#170 | C22 | 1 | 1 | yes | characteristic |
| 52 | Dic3⋊#170 | C22 | 1 | 1 | yes | characteristic |
| 53 | Dic3⋊#170 | C22 | 1 | 1 | yes | characteristic |
| 54 | #91169 | C22 | 1 | 1 | yes | characteristic |
| 55 | #91169 | C22 | 1 | 1 | yes | characteristic |
| 56 | Dic3×#170 | C22 | 1 | 1 | yes | characteristic |
| 57 | Dic3×#170 | C22 | 1 | 1 | yes | characteristic |
| 58 | Dic3×#170 | C22 | 1 | 1 | yes | characteristic |
| 59 | Dic3×#170 | C22 | 1 | 1 | yes | characteristic |
| 60 | #79962 | — | 5 | 1 | no | maximal, Hall |
| 61 | C2×#4033 | — | 3 | 1 | no | — |
| 62 | #65758 | — | 3 | 1 | no | — |
| 63 | #65758 | — | 3 | 1 | no | — |
| 64 | #65758 | — | 3 | 1 | no | — |
| 65 | C4×#704 | — | 3 | 1 | no | — |
| 66 | C4×#704 | — | 3 | 1 | no | — |
| 67 | C4×#704 | — | 3 | 1 | no | — |
| 68 | #65709 | — | 3 | 1 | no | — |
| 69 | #65709 | — | 3 | 1 | no | — |
| 70 | #65707 | — | 3 | 1 | no | — |
| 71 | #65707 | — | 3 | 1 | no | — |
| 72 | #65707 | — | 3 | 1 | no | — |
| 73 | #65707 | D3 | 1 | 1 | yes | characteristic, complemented |
| 74 | #65703 | — | 3 | 1 | no | — |
| 75 | #65703 | — | 3 | 1 | no | — |
| 76 | C2×Dic30 | C2×C4 | 1 | 1 | yes | characteristic |
| 77 | C2×C4×C5×D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 78 | C2×C4×C5×D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 79 | C2×C4×C5×D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 80 | C2×C3×Dic10 | C2×C4 | 1 | 1 | yes | characteristic |
| 81 | C2×#1204 | C2×C4 | 1 | 1 | yes | characteristic |
| 82 | C2×#1204 | C2×C4 | 1 | 1 | yes | characteristic |
| 83 | C2×D3×Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 84 | C2×D3×Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 85 | C2×D3×Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 86 | C2×D3×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 87 | D3×Dic10 | — | 2 | 4 | no | — |
| 88 | C2×C3⋊#170 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×C3⋊#170 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×C3⋊#170 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×C3⋊#170 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×C3×#170 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×C3×#170 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×C3×#170 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×C3×#170 | C23 | 1 | 1 | yes | characteristic |
| 96 | #6739 | — | 2 | 2 | no | — |
| 97 | #6739 | — | 2 | 2 | no | — |
| 98 | #6739 | — | 2 | 2 | no | — |
| 99 | #6739 | Q8 | 1 | 4 | yes | complemented |
| 100 | C3×C5×C4⋊C4 | C2×C4 | 1 | 1 | yes | characteristic |
| 101 | #6712 | C2×C4 | 1 | 1 | yes | characteristic |
| 102 | #6712 | C2×C4 | 1 | 1 | yes | characteristic |
| 103 | C4×Dic15 | C2×C4 | 1 | 1 | yes | characteristic |
| 104 | C4×Dic15 | C2×C4 | 1 | 1 | yes | characteristic |
| 105 | C4×Dic15 | C2×C4 | 1 | 1 | yes | characteristic |
| 106 | C5×C4⋊Dic3 | C2×C4 | 1 | 1 | yes | characteristic |
| 107 | C5×Dic3⋊C4 | C2×C4 | 1 | 1 | yes | characteristic |
| 108 | C5×Dic3⋊C4 | C2×C4 | 1 | 1 | yes | characteristic |
| 109 | C3×#683 | C2×C4 | 1 | 1 | yes | characteristic |
| 110 | C3×#683 | C2×C4 | 1 | 1 | yes | characteristic |
| 111 | C3×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 112 | C3×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 113 | C3×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 114 | #6669 | C2×C4 | 1 | 1 | yes | characteristic |
| 115 | #6669 | C2×C4 | 1 | 1 | yes | characteristic |
| 116 | #6668 | C2×C4 | 1 | 1 | yes | characteristic |
| 117 | #6668 | C2×C4 | 1 | 1 | yes | characteristic |
| 118 | Dic3×Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 119 | Dic3×Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 120 | Dic3×Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 121 | Dic3×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 122 | Dic3×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 123 | Dic3×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 124 | C4×D3×Q8 | — | 5 | 1 | no | — |
| 125 | C3×#446 | — | 5 | 1 | no | — |
| 126 | #5024 | — | 5 | 1 | no | — |
| 127 | #4837 | — | 5 | 1 | no | — |
| 128 | #4837 | — | 5 | 1 | no | — |
| 129 | #4837 | — | 5 | 1 | no | — |
| 130 | #4830 | — | 5 | 1 | no | — |
| 131 | #4828 | — | 5 | 1 | no | — |
| 132 | #4828 | — | 5 | 1 | no | — |
| 133 | #4707 | — | 5 | 1 | no | — |
| 134 | #4707 | — | 5 | 1 | no | — |
| 135 | #4701 | — | 5 | 1 | no | — |
| 136 | #4701 | — | 5 | 1 | no | — |
| 137 | C4×ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 138 | C8×Dic6 | — | 5 | 1 | no | — |
| 139 | C22×Dic10 | — | 3 | 1 | no | — |
| 140 | C2×#704 | — | 3 | 1 | no | — |
| 141 | C2×#704 | — | 3 | 1 | no | — |
| 142 | C2×#704 | — | 3 | 1 | no | — |
| 143 | C2×#704 | — | 3 | 1 | no | — |
| 144 | C2×C5×C4⋊C4 | — | 3 | 1 | no | — |
| 145 | C2×#683 | — | 3 | 1 | no | — |
| 146 | C2×#683 | — | 3 | 1 | no | — |
| 147 | C2×C4×Dic5 | — | 3 | 1 | no | — |
| 148 | C2×C4×Dic5 | — | 3 | 1 | no | — |
| 149 | C2×C4×Dic5 | — | 3 | 1 | no | — |
| 150 | #4033 | — | 3 | 1 | no | — |
| 151 | #4033 | — | 3 | 1 | no | — |
| 152 | #4033 | — | 3 | 1 | no | — |
| 153 | #4033 | — | 3 | 1 | no | — |
| 154 | #4033 | — | 3 | 1 | no | — |
| 155 | #4033 | — | 3 | 1 | no | — |
| 156 | #4033 | — | 3 | 1 | no | — |
| 157 | #4033 | C2×D3 | 1 | 1 | yes | characteristic |
| 158 | #4004 | — | 3 | 1 | no | — |
| 159 | #4004 | — | 3 | 1 | no | — |
| 160 | #4004 | — | 3 | 1 | no | — |
| 161 | #4004 | — | 3 | 1 | no | — |
| 162 | #4004 | C2×D3 | 1 | 1 | yes | characteristic |
| 163 | #4004 | C2×D3 | 1 | 1 | yes | characteristic |
| 164 | #4002 | — | 3 | 1 | no | — |
| 165 | #4002 | — | 3 | 1 | no | — |
| 166 | #4002 | — | 3 | 1 | no | — |
| 167 | #4002 | — | 3 | 1 | no | — |
| 168 | #4002 | C2×D3 | 1 | 1 | yes | characteristic |
| 169 | #4002 | C2×D3 | 1 | 1 | yes | characteristic |
| 170 | C4⋊#170 | — | 3 | 1 | no | — |
| 171 | C4⋊#170 | — | 3 | 1 | no | — |
| 172 | C4⋊#170 | — | 3 | 1 | no | — |
| 173 | C4⋊#170 | — | 3 | 1 | no | — |
| 174 | C4⋊#170 | — | 3 | 1 | no | — |
| 175 | C4⋊#170 | C2×D3 | 1 | 1 | yes | characteristic |
| 176 | C4×#170 | — | 3 | 1 | no | — |
| 177 | C4×#170 | — | 3 | 1 | no | — |
| 178 | C4×#170 | — | 3 | 1 | no | — |
| 179 | C4×#170 | — | 3 | 1 | no | — |
| 180 | C4×#170 | — | 3 | 1 | no | — |
| 181 | C4×#170 | C2×D3 | 1 | 1 | yes | characteristic |
| 182 | Q8×M16 | — | 15 | 1 | no | Sylow |
| 183 | C22×C5×D3 | C22×C4 | 1 | 1 | yes | characteristic |
| 184 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 185 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 186 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 187 | C2×Dic15 | C22×C4 | 1 | 1 | yes | characteristic |
| 188 | C2×Dic15 | C22×C4 | 1 | 1 | yes | characteristic |
| 189 | C2×Dic15 | C22×C4 | 1 | 1 | yes | characteristic |
| 190 | C2×Dic15 | C22×C4 | 1 | 1 | yes | characteristic |
| 191 | Dic30 | — | 2 | 2 | no | — |
| 192 | C2×C5×Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 193 | C2×C5×Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 194 | C2×C5×Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 195 | C4×C5×D3 | — | 2 | 2 | no | — |
| 196 | C4×C5×D3 | — | 4 | 1 | no | — |
| 197 | C4×C5×D3 | — | 4 | 1 | no | — |
| 198 | C2×C3×Dic5 | C22×C4 | 1 | 1 | yes | characteristic |
| 199 | C2×C3×Dic5 | C22×C4 | 1 | 1 | yes | characteristic |
| 200 | C2×C3×Dic5 | C22×C4 | 1 | 1 | yes | characteristic |
| 201 | C2×C3×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 202 | C3×Dic10 | — | 2 | 2 | no | — |
| 203 | #1204 | — | 2 | 2 | no | — |
| 204 | #1204 | M16 | 1 | 4 | yes | complemented |
| 205 | D3×Dic5 | — | 2 | 2 | no | — |
| 206 | D3×Dic5 | — | 2 | 2 | no | — |
| 207 | D3×Dic5 | — | 4 | 1 | no | — |
| 208 | D3×Dic5 | C2×Q8 | 1 | 2 | yes | — |
| 209 | D3×Dic5 | #41 | 1 | 2 | yes | — |
| 210 | C3⋊#170 | — | 2 | 1 | no | — |
| 211 | C3⋊#170 | — | 2 | 1 | no | — |
| 212 | C3⋊#170 | — | 2 | 1 | no | — |
| 213 | C3⋊#170 | C2×Q8 | 1 | 2 | yes | complemented |
| 214 | C3×#170 | — | 2 | 1 | no | — |
| 215 | C3×#170 | — | 2 | 1 | no | — |
| 216 | C3×#170 | — | 2 | 1 | no | — |
| 217 | C3×#170 | C2×Q8 | 1 | 2 | yes | complemented |
| 218 | C2×D3×Q8 | — | 5 | 1 | no | — |
| 219 | C3×C4×Q8 | — | 5 | 1 | no | — |
| 220 | Q8×Dic3 | — | 5 | 1 | no | — |
| 221 | C2×ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 222 | C2×ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 223 | C2×ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 224 | C2×ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 225 | D3×C4⋊C4 | — | 5 | 1 | no | — |
| 226 | D3×C4⋊C4 | — | 5 | 1 | no | — |
| 227 | D3×C4⋊C4 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 228 | #887 | — | 5 | 1 | no | — |
| 229 | #887 | — | 5 | 1 | no | — |
| 230 | #887 | — | 5 | 1 | no | — |
| 231 | C42×D3 | — | 5 | 1 | no | — |
| 232 | C42×D3 | — | 5 | 1 | no | — |
| 233 | C42×D3 | — | 5 | 1 | no | — |
| 234 | C4×Dic6 | — | 5 | 1 | no | — |
| 235 | C4×Dic6 | — | 5 | 1 | no | — |
| 236 | C4×Dic6 | — | 5 | 1 | no | — |
| 237 | C3×C4⋊C8 | — | 5 | 1 | no | — |
| 238 | C3×C4⋊C8 | — | 5 | 1 | no | — |
| 239 | C3×C4⋊C8 | — | 5 | 1 | no | — |
| 240 | C3×#97 | — | 5 | 1 | no | — |
| 241 | C3×#97 | — | 5 | 1 | no | — |
| 242 | C3×C4×C8 | — | 5 | 1 | no | — |
| 243 | #815 | — | 5 | 1 | no | — |
| 244 | #815 | — | 5 | 1 | no | — |
| 245 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 246 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 247 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 248 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 249 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 250 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 251 | C8×Dic3 | — | 5 | 1 | no | — |
| 252 | C8×Dic3 | — | 5 | 1 | no | — |
| 253 | C8×Dic3 | — | 5 | 1 | no | — |
| 254 | C8×Dic3 | — | 5 | 1 | no | — |
| 255 | C4⋊(C3⋊C8) | — | 5 | 1 | no | — |
| 256 | C4⋊(C3⋊C8) | — | 5 | 1 | no | — |
| 257 | C4⋊(C3⋊C8) | — | 5 | 1 | no | — |
| 258 | #803 | — | 5 | 1 | no | — |
| 259 | #803 | — | 5 | 1 | no | — |
| 260 | C4×C3⋊C8 | — | 5 | 1 | no | — |
| 261 | C22×C4×C5 | — | 3 | 1 | no | — |
| 262 | C22×C4×C5 | — | 3 | 1 | no | — |
| 263 | C22×C4×C5 | — | 3 | 1 | no | — |
| 264 | C22×Dic5 | — | 3 | 1 | no | — |
| 265 | C22×Dic5 | — | 3 | 1 | no | — |
| 266 | C22×Dic5 | — | 3 | 1 | no | — |
| 267 | C22×Dic5 | — | 3 | 1 | no | — |
| 268 | C2×Dic10 | — | 3 | 1 | no | — |
| 269 | C2×Dic10 | — | 3 | 1 | no | — |
| 270 | C2×Dic10 | — | 3 | 1 | no | — |
| 271 | C2×Dic10 | — | 6 | 4 | no | — |
| 272 | C2×Dic10 | C4×D3 | 1 | 1 | yes | characteristic |
| 273 | #704 | — | 3 | 4 | no | — |
| 274 | #704 | — | 6 | 2 | no | — |
| 275 | #704 | — | 6 | 2 | no | — |
| 276 | #704 | — | 6 | 2 | no | — |
| 277 | C2×#170 | — | 3 | 1 | no | — |
| 278 | C2×#170 | — | 3 | 1 | no | — |
| 279 | C2×#170 | — | 3 | 1 | no | — |
| 280 | C2×#170 | — | 3 | 1 | no | — |
| 281 | C2×#170 | C22×D3 | 1 | 1 | yes | characteristic |
| 282 | C2×#170 | C22×D3 | 1 | 1 | yes | characteristic |
| 283 | C2×#170 | C22×D3 | 1 | 1 | yes | characteristic |
| 284 | C2×#170 | C22×D3 | 1 | 1 | yes | characteristic |
| 285 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 286 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 287 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 288 | C5×C4⋊C4 | C4×D3 | 1 | 1 | yes | characteristic |
| 289 | #683 | — | 3 | 1 | no | — |
| 290 | #683 | — | 3 | 1 | no | — |
| 291 | #683 | — | 3 | 1 | no | — |
| 292 | #683 | — | 3 | 1 | no | — |
| 293 | #683 | — | 3 | 1 | no | — |
| 294 | #683 | — | 3 | 1 | no | — |
| 295 | #683 | C4×D3 | 1 | 1 | yes | characteristic |
| 296 | #683 | C4×D3 | 1 | 1 | yes | characteristic |
| 297 | C4×Dic5 | — | 3 | 1 | no | — |
| 298 | C4×Dic5 | — | 3 | 1 | no | — |
| 299 | C4×Dic5 | — | 3 | 1 | no | — |
| 300 | C4×Dic5 | — | 3 | 1 | no | — |
| 301 | C4×Dic5 | — | 3 | 1 | no | — |
| 302 | C4×Dic5 | — | 3 | 1 | no | — |
| 303 | C4×Dic5 | — | 3 | 1 | no | — |
| 304 | C4×Dic5 | — | 3 | 1 | no | — |
| 305 | C4×Dic5 | — | 3 | 1 | no | — |
| 306 | C4×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 307 | C4×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 308 | C4×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 309 | C2×C4×Q8 | — | 15 | 1 | no | — |
| 310 | #446 | — | 5 | 1 | no | — |
| 311 | #446 | — | 15 | 1 | no | — |
| 312 | #446 | — | 15 | 1 | no | — |
| 313 | #446 | — | 15 | 1 | no | — |
| 314 | #446 | — | 15 | 1 | no | — |
| 315 | #446 | — | 15 | 1 | no | — |
| 316 | C8×Q8 | — | 15 | 1 | no | — |
| 317 | C8×Q8 | — | 15 | 1 | no | — |
| 318 | #423 | — | 15 | 1 | no | — |
| 319 | #423 | — | 15 | 1 | no | — |
| 320 | #423 | — | 15 | 1 | no | — |
| 321 | C4×M16 | — | 15 | 1 | no | — |
| 322 | C4×M16 | — | 15 | 1 | no | — |
| 323 | C4×M16 | — | 15 | 1 | no | — |
| 324 | C22×C3×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 325 | C2×C5×D3 | — | 2 | 1 | no | — |
| 326 | C2×C5×D3 | — | 2 | 1 | no | — |
| 327 | C2×C5×D3 | C4×Q8 | 1 | 2 | yes | — |
| 328 | C3×C4×C5 | — | 2 | 1 | no | — |
| 329 | C3×C4×C5 | — | 2 | 1 | no | — |
| 330 | C3×C4×C5 | — | 2 | 1 | no | — |
| 331 | Dic15 | — | 2 | 1 | no | — |
| 332 | Dic15 | — | 2 | 1 | no | — |
| 333 | Dic15 | C4×Q8 | 1 | 2 | yes | — |
| 334 | Dic15 | C2×M16 | 1 | 2 | yes | — |
| 335 | C3×Dic5 | — | 2 | 1 | no | — |
| 336 | C3×Dic5 | — | 2 | 1 | no | — |
| 337 | C3×Dic5 | C2×M16 | 1 | 2 | yes | — |
| 338 | C3×Dic5 | C22×Q8 | 1 | 1 | yes | characteristic |
| 339 | C3×Dic5 | C2×#41 | 1 | 1 | yes | characteristic |
| 340 | C5×Dic3 | — | 2 | 1 | no | — |
| 341 | C5×Dic3 | — | 2 | 1 | no | — |
| 342 | C5×Dic3 | C2×M16 | 1 | 2 | yes | — |
| 343 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 344 | D3×Q8 | — | 10 | 4 | no | — |
| 345 | C2×C4×D3 | — | 5 | 1 | no | — |
| 346 | C2×C4×D3 | — | 5 | 1 | no | — |
| 347 | C2×C4×D3 | — | 5 | 1 | no | — |
| 348 | C2×C4×D3 | — | 5 | 1 | no | — |
| 349 | C2×C4×D3 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 350 | C2×C4×D3 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 351 | C2×C4×D3 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 352 | C2×Dic6 | — | 5 | 1 | no | — |
| 353 | C2×Dic6 | — | 5 | 1 | no | — |
| 354 | C2×Dic6 | — | 5 | 1 | no | — |
| 355 | C2×C3×C8 | — | 5 | 1 | no | — |
| 356 | C2×C3×C8 | — | 5 | 1 | no | — |
| 357 | C2×C3×C8 | — | 5 | 1 | no | — |
| 358 | C2×C3×C8 | — | 5 | 1 | no | — |
| 359 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 360 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 361 | C3×C4⋊C4 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 362 | C3×C42 | — | 5 | 1 | no | — |
| 363 | C3×C42 | — | 5 | 1 | no | — |
| 364 | C3×C42 | — | 5 | 1 | no | — |
| 365 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 366 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 367 | C4⋊Dic3 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 368 | Dic3⋊C4 | — | 5 | 1 | no | — |
| 369 | Dic3⋊C4 | — | 5 | 1 | no | — |
| 370 | Dic3⋊C4 | — | 5 | 1 | no | — |
| 371 | Dic3⋊C4 | — | 5 | 1 | no | — |
| 372 | Dic3⋊C4 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 373 | Dic3⋊C4 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 374 | C4×Dic3 | — | 5 | 1 | no | — |
| 375 | C4×Dic3 | — | 5 | 1 | no | — |
| 376 | C4×Dic3 | — | 5 | 1 | no | — |
| 377 | C4×Dic3 | — | 5 | 1 | no | — |
| 378 | C4×Dic3 | — | 5 | 1 | no | — |
| 379 | C4×Dic3 | — | 5 | 1 | no | — |
| 380 | C4×Dic3 | — | 5 | 1 | no | — |
| 381 | C4×Dic3 | — | 5 | 1 | no | — |
| 382 | C4×Dic3 | — | 5 | 1 | no | — |
| 383 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 384 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 385 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 386 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 387 | ΓL(1,𝔽25) | — | 5 | 4 | no | — |
| 388 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 389 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 390 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 391 | C23×C5 | — | 3 | 1 | no | — |
| 392 | C2×C4×C5 | — | 3 | 1 | no | — |
| 393 | C2×C4×C5 | — | 3 | 1 | no | — |
| 394 | C2×C4×C5 | — | 3 | 1 | no | — |
| 395 | C2×C4×C5 | — | 6 | 2 | no | — |
| 396 | C2×C4×C5 | — | 12 | 1 | no | — |
| 397 | C2×C4×C5 | — | 12 | 1 | no | — |
| 398 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 399 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 400 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 401 | C2×Dic5 | — | 3 | 1 | no | — |
| 402 | C2×Dic5 | — | 3 | 1 | no | — |
| 403 | C2×Dic5 | — | 3 | 2 | no | — |
| 404 | C2×Dic5 | — | 3 | 2 | no | — |
| 405 | C2×Dic5 | — | 3 | 1 | no | — |
| 406 | C2×Dic5 | — | 3 | 1 | no | — |
| 407 | C2×Dic5 | — | 6 | 2 | no | — |
| 408 | C2×Dic5 | — | 6 | 2 | no | — |
| 409 | C2×Dic5 | — | 12 | 1 | no | — |
| 410 | C2×Dic5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 411 | C2×Dic5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 412 | C2×Dic5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 413 | C2×Dic5 | C23×D3 | 1 | 1 | yes | characteristic |
| 414 | Dic10 | — | 2 | 2 | no | — |
| 415 | Dic10 | — | 3 | 4 | no | — |
| 416 | Dic10 | — | 6 | 2 | no | — |
| 417 | Dic10 | — | 6 | 2 | no | — |
| 418 | #170 | — | 2 | 1 | no | — |
| 419 | #170 | — | 2 | 1 | no | — |
| 420 | #170 | — | 2 | 1 | no | — |
| 421 | #170 | — | 3 | 2 | no | — |
| 422 | #170 | — | 6 | 1 | no | — |
| 423 | #170 | — | 6 | 1 | no | — |
| 424 | #170 | — | 6 | 1 | no | — |
| 425 | #170 | D3×Q8 | 1 | 2 | yes | complemented |
| 426 | C22×Q8 | — | 15 | 1 | no | — |
| 427 | C2×M16 | — | 15 | 1 | no | — |
| 428 | C2×M16 | — | 15 | 1 | no | — |
| 429 | C2×M16 | — | 15 | 1 | no | — |
| 430 | C2×M16 | — | 15 | 1 | no | — |
| 431 | C4×Q8 | — | 5 | 1 | no | — |
| 432 | C4×Q8 | — | 15 | 1 | no | — |
| 433 | C4×Q8 | — | 15 | 1 | no | — |
| 434 | C4×Q8 | — | 15 | 1 | no | — |
| 435 | C4×Q8 | — | 15 | 1 | no | — |
| 436 | C4×Q8 | — | 15 | 1 | no | — |
| 437 | C4×Q8 | — | 15 | 1 | no | — |
| 438 | C4×Q8 | — | 15 | 1 | no | — |
| 439 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 440 | C2×C4⋊C4 | — | 15 | 1 | no | — |
| 441 | C2×C4⋊C4 | — | 15 | 1 | no | — |
| 442 | C2×C42 | — | 15 | 1 | no | — |
| 443 | C2×C42 | — | 15 | 1 | no | — |
| 444 | C2×C42 | — | 15 | 1 | no | — |
| 445 | C4⋊C8 | — | 5 | 1 | no | — |
| 446 | C4⋊C8 | — | 5 | 1 | no | — |
| 447 | C4⋊C8 | — | 5 | 1 | no | — |
| 448 | C4⋊C8 | — | 15 | 1 | no | — |
| 449 | C4⋊C8 | — | 15 | 1 | no | — |
| 450 | C4⋊C8 | — | 15 | 1 | no | — |
| 451 | C4⋊C8 | — | 15 | 1 | no | — |
| 452 | C4⋊C8 | — | 15 | 1 | no | — |
| 453 | C4⋊C8 | — | 15 | 1 | no | — |
| 454 | C4⋊C8 | — | 15 | 1 | no | — |
| 455 | C4⋊C8 | — | 15 | 1 | no | — |
| 456 | C4⋊C8 | — | 15 | 1 | no | — |
| 457 | #97 | — | 5 | 1 | no | — |
| 458 | #97 | — | 5 | 1 | no | — |
| 459 | #97 | — | 15 | 1 | no | — |
| 460 | #97 | — | 15 | 1 | no | — |
| 461 | #97 | — | 15 | 1 | no | — |
| 462 | #97 | — | 15 | 1 | no | — |
| 463 | C4×C8 | — | 5 | 1 | no | — |
| 464 | C4×C8 | — | 15 | 1 | no | — |
| 465 | C4×C8 | — | 15 | 1 | no | — |
| 466 | C4×C8 | — | 15 | 1 | no | — |
| 467 | C4×C8 | — | 15 | 1 | no | — |
| 468 | C4×C8 | — | 15 | 1 | no | — |
| 469 | C2×C3×C5 | C2×C4×Q8 | 1 | 1 | yes | characteristic |
| 470 | C2×C3×C5 | C22×M16 | 1 | 1 | yes | characteristic |
| 471 | C2×C3×C5 | #568 | 1 | 1 | yes | characteristic |
| 472 | C5×D3 | — | 2 | 2 | no | — |
| 473 | C22×D3 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 474 | C3×Q8 | — | 10 | 2 | no | — |
| 475 | C2×C3×C4 | — | 5 | 1 | no | — |
| 476 | C2×C3×C4 | — | 5 | 1 | no | — |
| 477 | C2×C3×C4 | — | 5 | 1 | no | — |
| 478 | C2×C3×C4 | — | 5 | 1 | no | — |
| 479 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 480 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 481 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 482 | C2×Dic3 | — | 5 | 1 | no | — |
| 483 | C2×Dic3 | — | 5 | 1 | no | — |
| 484 | C2×Dic3 | — | 5 | 1 | no | — |
| 485 | C2×Dic3 | — | 5 | 1 | no | — |
| 486 | C2×Dic3 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 487 | C2×Dic3 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 488 | C2×Dic3 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 489 | C4×D3 | — | 2 | 2 | no | — |
| 490 | C4×D3 | — | 4 | 1 | no | — |
| 491 | C4×D3 | — | 4 | 1 | no | — |
| 492 | C4×D3 | — | 5 | 2 | no | — |
| 493 | C4×D3 | — | 5 | 2 | no | — |
| 494 | C4×D3 | — | 10 | 2 | no | — |
| 495 | C4×D3 | — | 10 | 2 | no | — |
| 496 | C4×D3 | — | 20 | 1 | no | — |
| 497 | Dic6 | — | 5 | 4 | no | — |
| 498 | Dic6 | — | 10 | 2 | no | — |
| 499 | Dic6 | — | 10 | 2 | no | — |
| 500 | C3×C8 | — | 5 | 2 | no | — |
| 501 | C3×C8 | — | 10 | 1 | no | — |
| 502 | C3×C8 | — | 10 | 1 | no | — |
| 503 | C3×C8 | — | 10 | 1 | no | — |
| 504 | C3⋊C8 | — | 5 | 2 | no | — |
| 505 | C3⋊C8 | — | 10 | 1 | no | — |
| 506 | C3⋊C8 | — | 10 | 1 | no | — |
| 507 | C3⋊C8 | — | 10 | 1 | no | — |
| 508 | C22×C5 | — | 3 | 2 | no | — |
| 509 | C22×C5 | — | 6 | 1 | no | — |
| 510 | C22×C5 | — | 6 | 1 | no | — |
| 511 | C22×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 512 | C4×C5 | — | 2 | 1 | no | — |
| 513 | C4×C5 | — | 2 | 1 | no | — |
| 514 | C4×C5 | — | 2 | 1 | no | — |
| 515 | C4×C5 | — | 3 | 2 | no | — |
| 516 | C4×C5 | — | 6 | 1 | no | — |
| 517 | C4×C5 | — | 6 | 1 | no | — |
| 518 | Dic5 | — | 2 | 1 | no | — |
| 519 | Dic5 | — | 2 | 1 | no | — |
| 520 | Dic5 | — | 3 | 2 | no | — |
| 521 | Dic5 | — | 3 | 2 | no | — |
| 522 | Dic5 | — | 6 | 1 | no | — |
| 523 | Dic5 | — | 6 | 1 | no | — |
| 524 | Dic5 | D3×M16 | 1 | 2 | yes | — |
| 525 | Dic5 | C2×D3×Q8 | 1 | 1 | yes | characteristic |
| 526 | Dic5 | D3×#41 | 1 | 1 | yes | characteristic |
| 527 | C2×Q8 | — | 5 | 1 | no | — |
| 528 | C2×Q8 | — | 15 | 1 | no | — |
| 529 | C2×Q8 | — | 15 | 1 | no | — |
| 530 | C2×Q8 | — | 15 | 1 | no | — |
| 531 | C2×Q8 | — | 30 | 4 | no | — |
| 532 | C22×C4 | — | 3 | 1 | no | — |
| 533 | C22×C4 | — | 3 | 1 | no | — |
| 534 | C22×C4 | — | 3 | 1 | no | — |
| 535 | C22×C4 | — | 15 | 1 | no | — |
| 536 | C22×C4 | — | 15 | 1 | no | — |
| 537 | C22×C4 | — | 15 | 1 | no | — |
| 538 | C22×C4 | — | 15 | 1 | no | — |
| 539 | M16 | — | 15 | 4 | no | — |
| 540 | M16 | — | 30 | 2 | no | — |
| 541 | M16 | — | 30 | 2 | no | — |
| 542 | M16 | — | 30 | 2 | no | — |
| 543 | C2×C8 | — | 5 | 1 | no | — |
| 544 | C2×C8 | — | 5 | 1 | no | — |
| 545 | C2×C8 | — | 5 | 1 | no | — |
| 546 | C2×C8 | — | 5 | 1 | no | — |
| 547 | C2×C8 | — | 15 | 1 | no | — |
| 548 | C2×C8 | — | 15 | 1 | no | — |
| 549 | C2×C8 | — | 15 | 1 | no | — |
| 550 | C2×C8 | — | 15 | 1 | no | — |
| 551 | C4⋊C4 | — | 3 | 1 | no | — |
| 552 | C4⋊C4 | — | 3 | 1 | no | — |
| 553 | C4⋊C4 | — | 3 | 1 | no | — |
| 554 | C4⋊C4 | — | 5 | 1 | no | — |
| 555 | C4⋊C4 | — | 5 | 1 | no | — |
| 556 | C4⋊C4 | — | 15 | 1 | no | — |
| 557 | C4⋊C4 | — | 15 | 1 | no | — |
| 558 | C4⋊C4 | — | 15 | 1 | no | — |
| 559 | C4⋊C4 | — | 15 | 1 | no | — |
| 560 | C4⋊C4 | — | 15 | 1 | no | — |
| 561 | C4⋊C4 | — | 15 | 1 | no | — |
| 562 | C4⋊C4 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 563 | C42 | — | 5 | 1 | no | — |
| 564 | C42 | — | 5 | 1 | no | — |
| 565 | C42 | — | 5 | 1 | no | — |
| 566 | C42 | — | 15 | 1 | no | — |
| 567 | C42 | — | 15 | 1 | no | — |
| 568 | C42 | — | 15 | 1 | no | — |
| 569 | C42 | — | 15 | 1 | no | — |
| 570 | C42 | — | 15 | 1 | no | — |
| 571 | C42 | — | 15 | 1 | no | — |
| 572 | C42 | — | 15 | 1 | no | — |
| 573 | C42 | — | 15 | 1 | no | — |
| 574 | C42 | — | 15 | 1 | no | — |
| 575 | C3×C5 | Q8×M16 | 1 | 1 | yes | characteristic, complemented, Hall |
| 576 | C22×C3 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 577 | C2×D3 | — | 2 | 1 | no | — |
| 578 | C2×D3 | — | 2 | 1 | no | — |
| 579 | C2×D3 | Q8×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 580 | C3×C4 | — | 2 | 1 | no | — |
| 581 | C3×C4 | — | 2 | 1 | no | — |
| 582 | C3×C4 | — | 2 | 1 | no | — |
| 583 | C3×C4 | — | 5 | 2 | no | — |
| 584 | C3×C4 | — | 5 | 1 | no | — |
| 585 | C3×C4 | — | 5 | 1 | no | — |
| 586 | C3×C4 | — | 10 | 1 | no | — |
| 587 | C3×C4 | — | 10 | 1 | no | — |
| 588 | Dic3 | — | 2 | 1 | no | — |
| 589 | Dic3 | — | 2 | 1 | no | — |
| 590 | Dic3 | — | 5 | 2 | no | — |
| 591 | Dic3 | — | 5 | 2 | no | — |
| 592 | Dic3 | — | 10 | 1 | no | — |
| 593 | Dic3 | — | 10 | 1 | no | — |
| 594 | Dic3 | D5⋊M16 | 1 | 2 | yes | — |
| 595 | C2×C5 | — | 6 | 2 | no | — |
| 596 | C2×C5 | C4×D3×Q8 | 1 | 1 | yes | characteristic |
| 597 | C2×C5 | C2×D3×M16 | 1 | 1 | yes | characteristic |
| 598 | C2×C5 | #5750 | 1 | 1 | yes | characteristic |
| 599 | C23 | — | 3 | 1 | no | — |
| 600 | Q8 | — | 10 | 2 | no | — |
| 601 | Q8 | — | 15 | 4 | no | — |
| 602 | Q8 | — | 30 | 2 | no | — |
| 603 | Q8 | — | 30 | 2 | no | — |
| 604 | C2×C4 | — | 3 | 1 | no | — |
| 605 | C2×C4 | — | 3 | 1 | no | — |
| 606 | C2×C4 | — | 3 | 1 | no | — |
| 607 | C2×C4 | — | 5 | 1 | no | — |
| 608 | C2×C4 | — | 5 | 1 | no | — |
| 609 | C2×C4 | — | 5 | 1 | no | — |
| 610 | C2×C4 | — | 5 | 1 | no | — |
| 611 | C2×C4 | — | 6 | 2 | no | — |
| 612 | C2×C4 | — | 12 | 1 | no | — |
| 613 | C2×C4 | — | 12 | 1 | no | — |
| 614 | C2×C4 | — | 15 | 2 | no | — |
| 615 | C2×C4 | — | 15 | 2 | no | — |
| 616 | C2×C4 | — | 15 | 1 | no | — |
| 617 | C2×C4 | — | 15 | 1 | no | — |
| 618 | C2×C4 | — | 15 | 1 | no | — |
| 619 | C2×C4 | — | 15 | 1 | no | — |
| 620 | C2×C4 | — | 30 | 2 | no | — |
| 621 | C2×C4 | — | 30 | 2 | no | — |
| 622 | C2×C4 | — | 60 | 1 | no | — |
| 623 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 624 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 625 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 626 | C8 | — | 5 | 2 | no | — |
| 627 | C8 | — | 10 | 1 | no | — |
| 628 | C8 | — | 10 | 1 | no | — |
| 629 | C8 | — | 10 | 1 | no | — |
| 630 | C8 | — | 15 | 2 | no | — |
| 631 | C8 | — | 30 | 1 | no | — |
| 632 | C8 | — | 30 | 1 | no | — |
| 633 | C8 | — | 30 | 1 | no | — |
| 634 | C2×C3 | C2×D5⋊M16 | 1 | 1 | yes | characteristic |
| 635 | C2×C3 | #66256 | 1 | 1 | yes | characteristic |
| 636 | C2×C3 | C2×Q8×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 637 | D3 | — | 2 | 2 | no | — |
| 638 | C5 | #79962 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 639 | C22 | — | 3 | 2 | no | — |
| 640 | C22 | — | 6 | 1 | no | — |
| 641 | C22 | — | 6 | 1 | no | — |
| 642 | C22 | C22×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 643 | C4 | — | 2 | 1 | no | — |
| 644 | C4 | — | 2 | 1 | no | — |
| 645 | C4 | — | 2 | 1 | no | — |
| 646 | C4 | — | 3 | 2 | no | — |
| 647 | C4 | — | 5 | 2 | no | — |
| 648 | C4 | — | 5 | 1 | no | — |
| 649 | C4 | — | 5 | 1 | no | — |
| 650 | C4 | — | 6 | 1 | no | — |
| 651 | C4 | — | 6 | 1 | no | — |
| 652 | C4 | — | 10 | 1 | no | — |
| 653 | C4 | — | 10 | 1 | no | — |
| 654 | C4 | — | 15 | 2 | no | — |
| 655 | C4 | — | 15 | 2 | no | — |
| 656 | C4 | — | 30 | 1 | no | — |
| 657 | C4 | — | 30 | 1 | no | — |
| 658 | C3 | #10617088 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 659 | C2 | — | 6 | 2 | no | — |
| 660 | C2 | D3×D5⋊M16 | 1 | 1 | yes | characteristic |
| 661 | C2 | #11756841 | 1 | 1 | yes | characteristic |
| 662 | C2 | D3×Q8×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta