| 1 | C2×D3×C4⋊AGL(1,𝔽5) | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | D3×D5⋊M16 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | D3×D5×M16 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #11746770 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#64899 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11746535 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11746534 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#64899 | — | 3 | 1 | no | maximal, Hall |
| 9 | C22×D3×AGL(1,𝔽5) | C4 | 1 | 2 | yes | — |
| 10 | C2×C4×D3×D5 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×C4⋊ΓL(1,𝔽16) | C22 | 1 | 1 | yes | characteristic |
| 12 | D5⋊#208 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C3×C4⋊AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 14 | C3×D5⋊M16 | C22 | 1 | 1 | yes | characteristic |
| 15 | #91931 | C4 | 1 | 2 | yes | complemented |
| 16 | D3×#704 | C4 | 1 | 2 | yes | complemented |
| 17 | C2×Dic3⋊AGL(1,𝔽5) | C4 | 1 | 2 | yes | — |
| 18 | D3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 19 | D3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 20 | D3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 21 | D3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 22 | D5⋊ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 23 | #91915 | — | 2 | 1 | no | — |
| 24 | D3×#700 | — | 2 | 1 | no | — |
| 25 | D3×D5⋊C8 | — | 2 | 1 | no | — |
| 26 | M16×D15 | C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | C5×D3×M16 | C4 | 1 | 1 | yes | characteristic, complemented |
| 28 | C3×D5×M16 | C22 | 1 | 1 | yes | characteristic |
| 29 | #91292 | C4 | 1 | 1 | yes | characteristic, complemented |
| 30 | D3×#681 | C4 | 1 | 1 | yes | characteristic, complemented |
| 31 | D5×#208 | C22 | 1 | 1 | yes | characteristic |
| 32 | #91246 | — | 2 | 1 | no | — |
| 33 | D3×#676 | — | 2 | 1 | no | — |
| 34 | D5×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 35 | D3×C8×D5 | — | 2 | 1 | no | — |
| 36 | D3×#343 | — | 5 | 1 | no | maximal, Hall |
| 37 | C22×C4⋊AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 38 | C2×D5⋊M16 | — | 3 | 1 | no | — |
| 39 | C2×D5×M16 | — | 3 | 1 | no | — |
| 40 | #64899 | — | 3 | 1 | no | — |
| 41 | #64899 | — | 3 | 1 | no | — |
| 42 | #64899 | — | 3 | 1 | no | — |
| 43 | #64899 | D3 | 1 | 1 | yes | characteristic, direct product factor |
| 44 | C22×D3×D5 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | C22×ΓL(1,𝔽16) | C2×C4 | 1 | 2 | yes | — |
| 46 | C22×C3×AGL(1,𝔽5) | C2×C4 | 1 | 2 | yes | — |
| 47 | C2×D3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 48 | C2×D3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 49 | C2×D3×AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 50 | C2×C4×D15 | C2×C4 | 1 | 1 | yes | characteristic |
| 51 | C2×C4×C5×D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 52 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 53 | C2×#1200 | C2×C4 | 1 | 1 | yes | characteristic |
| 54 | C2×D3×Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 55 | C2×D5×Dic3 | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | C4×D3×D5 | D4 | 1 | 1 | yes | characteristic |
| 57 | C4×D3×D5 | D4 | 1 | 1 | yes | characteristic |
| 58 | C4×D3×D5 | D4 | 1 | 1 | yes | characteristic |
| 59 | C4×D3×D5 | D4 | 1 | 1 | yes | characteristic |
| 60 | C4×D3×D5 | D4 | 1 | 1 | yes | characteristic |
| 61 | C4×D3×D5 | D4 | 1 | 1 | yes | characteristic |
| 62 | C4×D3×D5 | Q8 | 1 | 1 | yes | characteristic |
| 63 | C4×D3×D5 | Q8 | 1 | 1 | yes | characteristic |
| 64 | #6762 | C2×C4 | 1 | 2 | yes | complemented |
| 65 | C4⋊ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 66 | C4⋊ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 67 | #6758 | — | 2 | 1 | no | — |
| 68 | D5⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 69 | C3×#704 | C2×C4 | 1 | 2 | yes | complemented |
| 70 | C3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 71 | C3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 72 | C3×#700 | — | 2 | 1 | no | — |
| 73 | C3×D5⋊C8 | — | 2 | 1 | no | — |
| 74 | #6740 | — | 2 | 2 | no | — |
| 75 | #6739 | — | 2 | 2 | no | — |
| 76 | #6738 | — | 2 | 2 | no | — |
| 77 | D3×#170 | — | 2 | 2 | no | — |
| 78 | Dic3⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 79 | Dic3⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 80 | C3×C5×M16 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 81 | #6710 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 82 | #6705 | — | 2 | 1 | no | — |
| 83 | C8×D15 | — | 2 | 1 | no | — |
| 84 | C5×#208 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 85 | C5×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 86 | C5×D3×C8 | — | 2 | 1 | no | — |
| 87 | C3×#681 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 88 | C3×#676 | — | 2 | 1 | no | — |
| 89 | C3×C8×D5 | — | 2 | 1 | no | — |
| 90 | #6651 | — | 2 | 1 | no | — |
| 91 | #6650 | — | 2 | 1 | no | — |
| 92 | #6649 | — | 2 | 1 | no | — |
| 93 | #6648 | — | 2 | 1 | no | — |
| 94 | D3×#168 | — | 2 | 1 | no | — |
| 95 | D5×C3⋊C8 | — | 2 | 1 | no | — |
| 96 | C2×D3×M16 | — | 5 | 1 | no | — |
| 97 | C2×D3×M16 | — | 5 | 1 | no | — |
| 98 | C2×D3×C4⋊C4 | — | 5 | 1 | no | — |
| 99 | C3×#343 | — | 5 | 1 | no | — |
| 100 | #4554 | — | 5 | 1 | no | — |
| 101 | #4554 | — | 5 | 1 | no | — |
| 102 | #4530 | — | 5 | 1 | no | — |
| 103 | C23×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 104 | C22×C4×D5 | — | 3 | 1 | no | — |
| 105 | C2×#704 | — | 3 | 2 | no | — |
| 106 | C2×C4⋊AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 107 | C2×C4⋊AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 108 | C2×C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 109 | C2×C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 110 | C2×C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 111 | C2×C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 112 | C2×C4⋊AGL(1,𝔽5) | C2×D3 | 1 | 1 | yes | characteristic |
| 113 | D5⋊M16 | — | 3 | 1 | no | — |
| 114 | D5⋊M16 | — | 3 | 2 | no | — |
| 115 | D5⋊M16 | — | 6 | 1 | no | — |
| 116 | D5⋊M16 | — | 6 | 1 | no | — |
| 117 | D5⋊M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 118 | C2×#700 | — | 6 | 1 | no | — |
| 119 | C2×D5⋊C8 | — | 6 | 1 | no | — |
| 120 | C2×C5×M16 | — | 3 | 1 | no | — |
| 121 | C2×#681 | — | 3 | 1 | no | — |
| 122 | D5×M16 | — | 3 | 1 | no | — |
| 123 | D5×M16 | — | 3 | 1 | no | — |
| 124 | D5×M16 | — | 3 | 1 | no | — |
| 125 | D5×M16 | — | 6 | 1 | no | — |
| 126 | D5×M16 | — | 6 | 1 | no | — |
| 127 | D5×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 128 | C2×#676 | — | 6 | 1 | no | — |
| 129 | C2×C8×D5 | — | 6 | 1 | no | — |
| 130 | C2×#343 | — | 15 | 1 | no | Sylow |
| 131 | C22×D15 | C42 | 1 | 1 | yes | characteristic |
| 132 | C22×C5×D3 | C42 | 1 | 1 | yes | characteristic |
| 133 | C22×C3×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 134 | C2×D3×D5 | — | 2 | 2 | no | — |
| 135 | C2×D3×D5 | — | 2 | 2 | no | — |
| 136 | C2×D3×D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 137 | C2×D3×D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 138 | C2×D3×D5 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 139 | C2×D3×D5 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 140 | C2×ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 141 | C2×ΓL(1,𝔽16) | — | 4 | 2 | no | — |
| 142 | C2×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 143 | C2×C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 144 | D3×AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 145 | D3×AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 146 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 147 | C2×Dic15 | C42 | 1 | 1 | yes | characteristic |
| 148 | C4×D15 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 149 | C4×D15 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 150 | C4×D15 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 151 | C4×D15 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 152 | C2×C5×Dic3 | C42 | 1 | 1 | yes | characteristic |
| 153 | C4×C5×D3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 154 | C4×C5×D3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 155 | C4×C5×D3 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 156 | C4×C5×D3 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 157 | C2×C3×Dic5 | C22×C4 | 1 | 1 | yes | characteristic |
| 158 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 159 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 160 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 161 | C3×C4×D5 | C2×Q8 | 1 | 1 | yes | characteristic |
| 162 | #1200 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 163 | #1200 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 164 | #1200 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 165 | #1200 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 166 | D3×Dic5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 167 | D3×Dic5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 168 | D3×Dic5 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 169 | D3×Dic5 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 170 | D5×Dic3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 171 | D5×Dic3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 172 | D5×Dic3 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 173 | D5×Dic3 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 174 | C3⋊#170 | — | 2 | 2 | no | — |
| 175 | C3×#170 | — | 2 | 2 | no | — |
| 176 | C3×C5×C8 | — | 2 | 1 | no | — |
| 177 | C3⋊#168 | — | 2 | 1 | no | — |
| 178 | C3×#168 | — | 2 | 1 | no | — |
| 179 | C5×C3⋊C8 | — | 2 | 1 | no | — |
| 180 | C22×C4×D3 | — | 5 | 1 | no | — |
| 181 | C22×C4×D3 | — | 5 | 2 | no | — |
| 182 | C2×C3×M16 | — | 5 | 1 | no | — |
| 183 | C2×C3×M16 | — | 5 | 1 | no | — |
| 184 | C2×C3×C4⋊C4 | — | 5 | 1 | no | — |
| 185 | C2×C4⋊Dic3 | — | 5 | 1 | no | — |
| 186 | C2×Dic3⋊C4 | — | 5 | 2 | no | — |
| 187 | C2×#208 | — | 5 | 1 | no | — |
| 188 | C2×#208 | — | 5 | 1 | no | — |
| 189 | D3×M16 | — | 5 | 2 | no | — |
| 190 | D3×M16 | — | 5 | 2 | no | — |
| 191 | D3×M16 | — | 5 | 1 | no | — |
| 192 | D3×M16 | — | 5 | 1 | no | — |
| 193 | D3×M16 | — | 5 | 1 | no | — |
| 194 | D3×M16 | — | 10 | 1 | no | — |
| 195 | D3×M16 | — | 10 | 1 | no | — |
| 196 | D3×M16 | — | 10 | 1 | no | — |
| 197 | D3×M16 | — | 10 | 1 | no | — |
| 198 | D3×M16 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 199 | C2×ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 200 | C2×ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 201 | C2×D3×C8 | — | 10 | 1 | no | — |
| 202 | C2×D3×C8 | — | 10 | 1 | no | — |
| 203 | D3×C4⋊C4 | — | 10 | 1 | no | — |
| 204 | D3×C4⋊C4 | — | 10 | 1 | no | — |
| 205 | D3×C4⋊C4 | — | 10 | 1 | no | — |
| 206 | D3×C4⋊C4 | — | 10 | 1 | no | — |
| 207 | C23×D5 | — | 3 | 1 | no | — |
| 208 | C22×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 209 | C22×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 210 | C22×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 211 | C22×AGL(1,𝔽5) | — | 12 | 4 | no | — |
| 212 | C22×AGL(1,𝔽5) | C4×D3 | 1 | 2 | yes | — |
| 213 | C22×C4×C5 | — | 3 | 1 | no | — |
| 214 | C22×Dic5 | — | 3 | 1 | no | — |
| 215 | C2×C4×D5 | — | 3 | 1 | no | — |
| 216 | C2×C4×D5 | — | 3 | 1 | no | — |
| 217 | C2×C4×D5 | — | 3 | 1 | no | — |
| 218 | C2×C4×D5 | — | 3 | 1 | no | — |
| 219 | C2×C4×D5 | — | 3 | 1 | no | — |
| 220 | C2×C4×D5 | — | 3 | 1 | no | — |
| 221 | C2×C4×D5 | — | 3 | 1 | no | — |
| 222 | C2×C4×D5 | — | 3 | 1 | no | — |
| 223 | C2×C4×D5 | — | 3 | 1 | no | — |
| 224 | C2×C4×D5 | — | 3 | 1 | no | — |
| 225 | C2×C4×D5 | — | 3 | 1 | no | — |
| 226 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 227 | #704 | — | 3 | 2 | no | — |
| 228 | #704 | — | 6 | 2 | no | — |
| 229 | #704 | C4×D3 | 1 | 2 | yes | complemented |
| 230 | C2×#170 | — | 6 | 2 | no | — |
| 231 | C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 232 | C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 233 | C4⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 234 | C4⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 235 | C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 236 | C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 237 | #700 | — | 2 | 1 | no | — |
| 238 | #700 | — | 6 | 2 | no | — |
| 239 | #700 | — | 6 | 1 | no | — |
| 240 | D5⋊C8 | — | 2 | 1 | no | — |
| 241 | D5⋊C8 | — | 6 | 2 | no | — |
| 242 | D5⋊C8 | — | 6 | 1 | no | — |
| 243 | C5×M16 | — | 3 | 1 | no | — |
| 244 | C5×M16 | — | 6 | 1 | no | — |
| 245 | C5×M16 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 246 | C2×C5×C8 | — | 6 | 1 | no | — |
| 247 | #681 | — | 3 | 1 | no | — |
| 248 | #681 | — | 6 | 1 | no | — |
| 249 | #681 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 250 | C2×#168 | — | 6 | 1 | no | — |
| 251 | #676 | — | 2 | 1 | no | — |
| 252 | #676 | — | 6 | 1 | no | — |
| 253 | #676 | — | 6 | 1 | no | — |
| 254 | #676 | — | 6 | 1 | no | — |
| 255 | C8×D5 | — | 2 | 1 | no | — |
| 256 | C8×D5 | — | 6 | 1 | no | — |
| 257 | C8×D5 | — | 6 | 1 | no | — |
| 258 | C8×D5 | — | 6 | 1 | no | — |
| 259 | C22×M16 | — | 15 | 1 | no | — |
| 260 | C22×M16 | — | 15 | 1 | no | — |
| 261 | C22×C4⋊C4 | — | 15 | 1 | no | — |
| 262 | #343 | — | 5 | 1 | no | — |
| 263 | #343 | — | 15 | 1 | no | — |
| 264 | #343 | — | 15 | 1 | no | — |
| 265 | #343 | — | 15 | 1 | no | — |
| 266 | C22×C3×C5 | C2×C42 | 1 | 1 | yes | characteristic |
| 267 | C2×D15 | — | 2 | 2 | no | — |
| 268 | C2×D15 | #95 | 1 | 1 | yes | characteristic |
| 269 | C2×D15 | #95 | 1 | 1 | yes | characteristic |
| 270 | C2×C5×D3 | — | 2 | 2 | no | — |
| 271 | C2×C5×D3 | #95 | 1 | 1 | yes | characteristic |
| 272 | C2×C5×D3 | #95 | 1 | 1 | yes | characteristic |
| 273 | C2×C3×D5 | — | 2 | 1 | no | — |
| 274 | C2×C3×D5 | — | 2 | 1 | no | — |
| 275 | C2×C3×D5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 276 | C2×C3×D5 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 277 | D3×D5 | — | 2 | 2 | no | — |
| 278 | D3×D5 | — | 2 | 1 | no | — |
| 279 | D3×D5 | — | 2 | 1 | no | — |
| 280 | D3×D5 | — | 2 | 2 | no | — |
| 281 | D3×D5 | #100 | 1 | 2 | yes | — |
| 282 | D3×D5 | #101 | 1 | 2 | yes | — |
| 283 | ΓL(1,𝔽16) | — | 4 | 2 | no | — |
| 284 | C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 285 | C3×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 286 | C3×C4×C5 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 287 | Dic15 | #95 | 1 | 1 | yes | characteristic |
| 288 | Dic15 | #95 | 1 | 1 | yes | characteristic |
| 289 | C3×Dic5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 290 | C3×Dic5 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 291 | C5×Dic3 | #95 | 1 | 1 | yes | characteristic |
| 292 | C5×Dic3 | #95 | 1 | 1 | yes | characteristic |
| 293 | C23×D3 | — | 5 | 1 | no | — |
| 294 | C22×C3×C4 | — | 5 | 1 | no | — |
| 295 | C22×C3×C4 | — | 5 | 2 | no | — |
| 296 | C22×Dic3 | — | 5 | 1 | no | — |
| 297 | C22×Dic3 | — | 5 | 2 | no | — |
| 298 | C2×C4×D3 | — | 5 | 1 | no | — |
| 299 | C2×C4×D3 | — | 5 | 1 | no | — |
| 300 | C2×C4×D3 | — | 5 | 1 | no | — |
| 301 | C2×C4×D3 | — | 5 | 1 | no | — |
| 302 | C2×C4×D3 | — | 5 | 1 | no | — |
| 303 | C2×C4×D3 | — | 5 | 1 | no | — |
| 304 | C2×C4×D3 | — | 5 | 1 | no | — |
| 305 | C2×C4×D3 | — | 5 | 1 | no | — |
| 306 | C2×C4×D3 | — | 5 | 1 | no | — |
| 307 | C2×C4×D3 | — | 5 | 1 | no | — |
| 308 | C2×C4×D3 | — | 5 | 1 | no | — |
| 309 | C2×C4×D3 | — | 10 | 2 | no | — |
| 310 | C2×C4×D3 | — | 10 | 2 | no | — |
| 311 | C2×C4×D3 | — | 20 | 4 | no | — |
| 312 | C2×C4×D3 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 313 | C3×M16 | — | 5 | 2 | no | — |
| 314 | C3×M16 | — | 5 | 1 | no | — |
| 315 | C3×M16 | — | 10 | 1 | no | — |
| 316 | C3×M16 | — | 10 | 1 | no | — |
| 317 | C3×M16 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 318 | C2×C3×C8 | — | 10 | 1 | no | — |
| 319 | C2×C3×C8 | — | 10 | 1 | no | — |
| 320 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 321 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 322 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 323 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 324 | Dic3⋊C4 | — | 10 | 2 | no | — |
| 325 | Dic3⋊C4 | — | 10 | 2 | no | — |
| 326 | #208 | — | 5 | 2 | no | — |
| 327 | #208 | — | 5 | 1 | no | — |
| 328 | #208 | — | 10 | 1 | no | — |
| 329 | #208 | — | 10 | 1 | no | — |
| 330 | #208 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 331 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 332 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 333 | ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 334 | ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 335 | ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 336 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 337 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 338 | ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 339 | D3×C8 | — | 2 | 1 | no | — |
| 340 | D3×C8 | — | 10 | 1 | no | — |
| 341 | D3×C8 | — | 10 | 1 | no | — |
| 342 | D3×C8 | — | 10 | 2 | no | — |
| 343 | D3×C8 | — | 10 | 2 | no | — |
| 344 | D3×C8 | — | 10 | 1 | no | — |
| 345 | C23×C5 | — | 3 | 1 | no | — |
| 346 | C22×D5 | — | 3 | 1 | no | — |
| 347 | C22×D5 | — | 3 | 1 | no | — |
| 348 | C22×D5 | — | 3 | 1 | no | — |
| 349 | C22×D5 | — | 3 | 1 | no | — |
| 350 | C22×D5 | — | 3 | 1 | no | — |
| 351 | C22×D5 | — | 6 | 2 | no | — |
| 352 | C22×D5 | — | 6 | 2 | no | — |
| 353 | C22×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 354 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 355 | C2×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 356 | C2×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 357 | C2×AGL(1,𝔽5) | — | 12 | 4 | no | — |
| 358 | C2×AGL(1,𝔽5) | — | 12 | 4 | no | — |
| 359 | C2×AGL(1,𝔽5) | — | 12 | 2 | no | — |
| 360 | C2×C4×C5 | — | 3 | 1 | no | — |
| 361 | C2×C4×C5 | — | 3 | 1 | no | — |
| 362 | C2×C4×C5 | — | 3 | 1 | no | — |
| 363 | C2×C4×C5 | — | 3 | 1 | no | — |
| 364 | C2×C4×C5 | — | 3 | 1 | no | — |
| 365 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 366 | C2×Dic5 | — | 3 | 1 | no | — |
| 367 | C2×Dic5 | — | 3 | 1 | no | — |
| 368 | C2×Dic5 | — | 3 | 1 | no | — |
| 369 | C2×Dic5 | — | 3 | 1 | no | — |
| 370 | C2×Dic5 | — | 3 | 1 | no | — |
| 371 | C2×Dic5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 372 | C4×D5 | — | 3 | 1 | no | — |
| 373 | C4×D5 | — | 3 | 1 | no | — |
| 374 | C4×D5 | — | 3 | 1 | no | — |
| 375 | C4×D5 | — | 3 | 1 | no | — |
| 376 | C4×D5 | — | 3 | 1 | no | — |
| 377 | C4×D5 | — | 3 | 1 | no | — |
| 378 | C4×D5 | — | 3 | 1 | no | — |
| 379 | C4×D5 | — | 3 | 1 | no | — |
| 380 | C4×D5 | — | 3 | 1 | no | — |
| 381 | C4×D5 | — | 3 | 1 | no | — |
| 382 | C4×D5 | — | 3 | 1 | no | — |
| 383 | C4×D5 | — | 3 | 1 | no | — |
| 384 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 385 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 386 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 387 | C4×D5 | D3×Q8 | 1 | 1 | yes | characteristic |
| 388 | #170 | — | 2 | 2 | no | — |
| 389 | #170 | — | 6 | 2 | no | — |
| 390 | C5×C8 | — | 2 | 1 | no | — |
| 391 | C5×C8 | — | 6 | 1 | no | — |
| 392 | #168 | — | 2 | 1 | no | — |
| 393 | #168 | — | 6 | 1 | no | — |
| 394 | C23×C4 | — | 15 | 1 | no | — |
| 395 | C23×C4 | — | 15 | 2 | no | — |
| 396 | C2×M16 | — | 3 | 1 | no | — |
| 397 | C2×M16 | — | 5 | 1 | no | — |
| 398 | C2×M16 | — | 5 | 1 | no | — |
| 399 | C2×M16 | — | 15 | 1 | no | — |
| 400 | C2×M16 | — | 15 | 1 | no | — |
| 401 | C2×M16 | — | 15 | 1 | no | — |
| 402 | C2×M16 | — | 15 | 2 | no | — |
| 403 | C2×M16 | — | 15 | 2 | no | — |
| 404 | C2×M16 | — | 15 | 1 | no | — |
| 405 | C2×M16 | — | 15 | 1 | no | — |
| 406 | C2×M16 | — | 30 | 1 | no | — |
| 407 | C2×M16 | — | 30 | 1 | no | — |
| 408 | C2×M16 | — | 30 | 1 | no | — |
| 409 | C2×M16 | — | 30 | 1 | no | — |
| 410 | C2×M16 | — | 30 | 1 | no | — |
| 411 | C2×M16 | — | 30 | 1 | no | — |
| 412 | C22×C8 | — | 30 | 1 | no | — |
| 413 | C22×C8 | — | 30 | 1 | no | — |
| 414 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 415 | C2×C4⋊C4 | — | 15 | 1 | no | — |
| 416 | C2×C4⋊C4 | — | 15 | 2 | no | — |
| 417 | C2×C4⋊C4 | — | 30 | 1 | no | — |
| 418 | C2×C4⋊C4 | — | 30 | 1 | no | — |
| 419 | C2×C4⋊C4 | — | 30 | 1 | no | — |
| 420 | C2×C4⋊C4 | — | 30 | 1 | no | — |
| 421 | C2×C3×C5 | — | 2 | 1 | no | — |
| 422 | C2×C3×C5 | C2×#95 | 1 | 1 | yes | characteristic |
| 423 | D15 | — | 2 | 1 | no | — |
| 424 | D15 | #343 | 1 | 2 | yes | complemented |
| 425 | C3×D5 | — | 2 | 1 | no | — |
| 426 | C3×D5 | C2×#100 | 1 | 1 | yes | characteristic |
| 427 | C3×D5 | C2×#101 | 1 | 1 | yes | characteristic |
| 428 | C5×D3 | — | 2 | 1 | no | — |
| 429 | C5×D3 | #343 | 1 | 2 | yes | complemented |
| 430 | C23×C3 | — | 5 | 1 | no | — |
| 431 | C22×D3 | — | 5 | 1 | no | — |
| 432 | C22×D3 | — | 5 | 1 | no | — |
| 433 | C22×D3 | — | 5 | 1 | no | — |
| 434 | C22×D3 | — | 5 | 1 | no | — |
| 435 | C22×D3 | — | 5 | 1 | no | — |
| 436 | C22×D3 | — | 10 | 2 | no | — |
| 437 | C22×D3 | — | 10 | 2 | no | — |
| 438 | C22×D3 | C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 439 | C2×C3×C4 | — | 5 | 1 | no | — |
| 440 | C2×C3×C4 | — | 5 | 1 | no | — |
| 441 | C2×C3×C4 | — | 5 | 1 | no | — |
| 442 | C2×C3×C4 | — | 5 | 1 | no | — |
| 443 | C2×C3×C4 | — | 5 | 1 | no | — |
| 444 | C2×C3×C4 | — | 10 | 2 | no | — |
| 445 | C2×C3×C4 | — | 20 | 2 | no | — |
| 446 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 447 | C2×Dic3 | — | 5 | 1 | no | — |
| 448 | C2×Dic3 | — | 5 | 1 | no | — |
| 449 | C2×Dic3 | — | 5 | 1 | no | — |
| 450 | C2×Dic3 | — | 5 | 1 | no | — |
| 451 | C2×Dic3 | — | 5 | 1 | no | — |
| 452 | C2×Dic3 | — | 10 | 2 | no | — |
| 453 | C2×Dic3 | — | 20 | 2 | no | — |
| 454 | C2×Dic3 | C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 455 | C4×D3 | — | 5 | 1 | no | — |
| 456 | C4×D3 | — | 5 | 1 | no | — |
| 457 | C4×D3 | — | 5 | 1 | no | — |
| 458 | C4×D3 | — | 5 | 1 | no | — |
| 459 | C4×D3 | — | 5 | 1 | no | — |
| 460 | C4×D3 | — | 5 | 1 | no | — |
| 461 | C4×D3 | — | 5 | 1 | no | — |
| 462 | C4×D3 | — | 5 | 1 | no | — |
| 463 | C4×D3 | — | 5 | 1 | no | — |
| 464 | C4×D3 | — | 5 | 1 | no | — |
| 465 | C4×D3 | — | 5 | 1 | no | — |
| 466 | C4×D3 | — | 5 | 1 | no | — |
| 467 | C4×D3 | — | 20 | 4 | no | — |
| 468 | C4×D3 | — | 20 | 4 | no | — |
| 469 | C4×D3 | C4⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 470 | C4×D3 | C4⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 471 | C4×D3 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 472 | C4×D3 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 473 | C3×C8 | — | 2 | 1 | no | — |
| 474 | C3×C8 | — | 10 | 2 | no | — |
| 475 | C3×C8 | — | 10 | 1 | no | — |
| 476 | C3⋊C8 | — | 2 | 1 | no | — |
| 477 | C3⋊C8 | — | 10 | 2 | no | — |
| 478 | C3⋊C8 | — | 10 | 1 | no | — |
| 479 | C22×C5 | — | 3 | 1 | no | — |
| 480 | C22×C5 | — | 3 | 1 | no | — |
| 481 | C22×C5 | — | 6 | 2 | no | — |
| 482 | C22×C5 | C42×D3 | 1 | 1 | yes | characteristic |
| 483 | C2×D5 | — | 2 | 1 | no | — |
| 484 | C2×D5 | — | 2 | 1 | no | — |
| 485 | C2×D5 | — | 3 | 1 | no | — |
| 486 | C2×D5 | — | 3 | 2 | no | — |
| 487 | C2×D5 | — | 3 | 2 | no | — |
| 488 | C2×D5 | — | 3 | 1 | no | — |
| 489 | C2×D5 | — | 6 | 2 | no | — |
| 490 | C2×D5 | — | 6 | 2 | no | — |
| 491 | C2×D5 | — | 6 | 2 | no | — |
| 492 | C2×D5 | — | 6 | 1 | no | — |
| 493 | C2×D5 | — | 6 | 1 | no | — |
| 494 | C2×D5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 495 | C2×D5 | D3×C4⋊C4 | 1 | 1 | yes | characteristic |
| 496 | AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 497 | AGL(1,𝔽5) | — | 12 | 2 | no | — |
| 498 | C4×C5 | — | 3 | 1 | no | — |
| 499 | C4×C5 | — | 3 | 1 | no | — |
| 500 | C4×C5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 501 | C4×C5 | D3×C4⋊C4 | 1 | 1 | yes | characteristic |
| 502 | Dic5 | — | 3 | 1 | no | — |
| 503 | Dic5 | — | 3 | 1 | no | — |
| 504 | Dic5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 505 | Dic5 | D3×C4⋊C4 | 1 | 1 | yes | characteristic |
| 506 | C24 | — | 15 | 1 | no | — |
| 507 | C22×C4 | — | 3 | 1 | no | — |
| 508 | C22×C4 | — | 5 | 1 | no | — |
| 509 | C22×C4 | — | 5 | 2 | no | — |
| 510 | C22×C4 | — | 15 | 1 | no | — |
| 511 | C22×C4 | — | 15 | 1 | no | — |
| 512 | C22×C4 | — | 15 | 1 | no | — |
| 513 | C22×C4 | — | 15 | 1 | no | — |
| 514 | C22×C4 | — | 15 | 1 | no | — |
| 515 | C22×C4 | — | 15 | 1 | no | — |
| 516 | C22×C4 | — | 15 | 1 | no | — |
| 517 | C22×C4 | — | 15 | 1 | no | — |
| 518 | C22×C4 | — | 15 | 1 | no | — |
| 519 | C22×C4 | — | 15 | 1 | no | — |
| 520 | C22×C4 | — | 15 | 1 | no | — |
| 521 | C22×C4 | — | 15 | 1 | no | — |
| 522 | C22×C4 | — | 15 | 2 | no | — |
| 523 | C22×C4 | — | 30 | 2 | no | — |
| 524 | C22×C4 | — | 30 | 2 | no | — |
| 525 | C22×C4 | — | 60 | 4 | no | — |
| 526 | M16 | — | 3 | 1 | no | — |
| 527 | M16 | — | 5 | 2 | no | — |
| 528 | M16 | — | 5 | 1 | no | — |
| 529 | M16 | — | 6 | 1 | no | — |
| 530 | M16 | — | 10 | 1 | no | — |
| 531 | M16 | — | 10 | 1 | no | — |
| 532 | M16 | — | 15 | 2 | no | — |
| 533 | M16 | — | 15 | 1 | no | — |
| 534 | M16 | — | 30 | 1 | no | — |
| 535 | M16 | — | 30 | 1 | no | — |
| 536 | M16 | — | 30 | 1 | no | — |
| 537 | M16 | — | 30 | 1 | no | — |
| 538 | M16 | — | 30 | 2 | no | — |
| 539 | M16 | — | 30 | 2 | no | — |
| 540 | M16 | — | 30 | 1 | no | — |
| 541 | M16 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 542 | C2×C8 | — | 6 | 1 | no | — |
| 543 | C2×C8 | — | 10 | 1 | no | — |
| 544 | C2×C8 | — | 10 | 1 | no | — |
| 545 | C2×C8 | — | 30 | 1 | no | — |
| 546 | C2×C8 | — | 30 | 1 | no | — |
| 547 | C2×C8 | — | 30 | 1 | no | — |
| 548 | C2×C8 | — | 30 | 1 | no | — |
| 549 | C2×C8 | — | 30 | 2 | no | — |
| 550 | C2×C8 | — | 30 | 2 | no | — |
| 551 | C2×C8 | — | 30 | 1 | no | — |
| 552 | C4⋊C4 | — | 10 | 1 | no | — |
| 553 | C4⋊C4 | — | 10 | 1 | no | — |
| 554 | C4⋊C4 | — | 30 | 1 | no | — |
| 555 | C4⋊C4 | — | 30 | 1 | no | — |
| 556 | C4⋊C4 | — | 30 | 2 | no | — |
| 557 | C4⋊C4 | — | 30 | 2 | no | — |
| 558 | C3×C5 | C2×#343 | 1 | 1 | yes | characteristic, complemented, Hall |
| 559 | C22×C3 | — | 5 | 1 | no | — |
| 560 | C22×C3 | — | 5 | 1 | no | — |
| 561 | C22×C3 | — | 10 | 1 | no | — |
| 562 | C22×C3 | — | 10 | 1 | no | — |
| 563 | C22×C3 | C2×C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 564 | C2×D3 | — | 2 | 2 | no | — |
| 565 | C2×D3 | — | 5 | 1 | no | — |
| 566 | C2×D3 | — | 5 | 2 | no | — |
| 567 | C2×D3 | — | 5 | 2 | no | — |
| 568 | C2×D3 | — | 5 | 1 | no | — |
| 569 | C2×D3 | — | 10 | 2 | no | — |
| 570 | C2×D3 | — | 10 | 1 | no | — |
| 571 | C2×D3 | — | 10 | 1 | no | — |
| 572 | C2×D3 | — | 10 | 2 | no | — |
| 573 | C2×D3 | — | 10 | 2 | no | — |
| 574 | C2×D3 | (C2×AGL(1,𝔽5))⋊C4 | 1 | 1 | yes | characteristic |
| 575 | C2×D3 | (C2×AGL(1,𝔽5))⋊C4 | 1 | 1 | yes | characteristic |
| 576 | C3×C4 | — | 5 | 1 | no | — |
| 577 | C3×C4 | — | 5 | 1 | no | — |
| 578 | C3×C4 | — | 20 | 2 | no | — |
| 579 | C3×C4 | C2×C4⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 580 | C3×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 581 | Dic3 | — | 5 | 1 | no | — |
| 582 | Dic3 | — | 5 | 1 | no | — |
| 583 | Dic3 | — | 20 | 2 | no | — |
| 584 | Dic3 | (C2×AGL(1,𝔽5))⋊C4 | 1 | 1 | yes | characteristic |
| 585 | Dic3 | (C2×AGL(1,𝔽5))⋊C4 | 1 | 1 | yes | characteristic |
| 586 | C2×C5 | — | 2 | 1 | no | — |
| 587 | C2×C5 | — | 3 | 2 | no | — |
| 588 | C2×C5 | — | 6 | 1 | no | — |
| 589 | C2×C5 | D3×#95 | 1 | 1 | yes | characteristic |
| 590 | D5 | — | 2 | 1 | no | — |
| 591 | D5 | — | 3 | 2 | no | — |
| 592 | D5 | — | 6 | 1 | no | — |
| 593 | D5 | D3×#100 | 1 | 1 | yes | characteristic |
| 594 | D5 | D3×#101 | 1 | 1 | yes | characteristic |
| 595 | C23 | — | 3 | 1 | no | — |
| 596 | C23 | — | 5 | 1 | no | — |
| 597 | C23 | — | 15 | 1 | no | — |
| 598 | C23 | — | 15 | 1 | no | — |
| 599 | C23 | — | 15 | 1 | no | — |
| 600 | C23 | — | 15 | 1 | no | — |
| 601 | C23 | — | 15 | 1 | no | — |
| 602 | C23 | — | 30 | 2 | no | — |
| 603 | C23 | — | 30 | 2 | no | — |
| 604 | C2×C4 | — | 3 | 1 | no | — |
| 605 | C2×C4 | — | 3 | 1 | no | — |
| 606 | C2×C4 | — | 3 | 1 | no | — |
| 607 | C2×C4 | — | 3 | 1 | no | — |
| 608 | C2×C4 | — | 3 | 1 | no | — |
| 609 | C2×C4 | — | 5 | 1 | no | — |
| 610 | C2×C4 | — | 5 | 1 | no | — |
| 611 | C2×C4 | — | 5 | 1 | no | — |
| 612 | C2×C4 | — | 5 | 1 | no | — |
| 613 | C2×C4 | — | 5 | 1 | no | — |
| 614 | C2×C4 | — | 10 | 2 | no | — |
| 615 | C2×C4 | — | 15 | 1 | 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 | — | 15 | 1 | no | — |
| 621 | C2×C4 | — | 15 | 1 | no | — |
| 622 | C2×C4 | — | 15 | 1 | no | — |
| 623 | C2×C4 | — | 15 | 1 | no | — |
| 624 | C2×C4 | — | 15 | 1 | no | — |
| 625 | C2×C4 | — | 15 | 1 | no | — |
| 626 | C2×C4 | — | 15 | 1 | no | — |
| 627 | C2×C4 | — | 15 | 1 | no | — |
| 628 | C2×C4 | — | 15 | 1 | no | — |
| 629 | C2×C4 | — | 15 | 1 | no | — |
| 630 | C2×C4 | — | 15 | 1 | no | — |
| 631 | C2×C4 | — | 15 | 1 | no | — |
| 632 | C2×C4 | — | 20 | 2 | no | — |
| 633 | C2×C4 | — | 30 | 2 | no | — |
| 634 | C2×C4 | — | 60 | 4 | no | — |
| 635 | C2×C4 | — | 60 | 4 | no | — |
| 636 | C2×C4 | — | 60 | 2 | no | — |
| 637 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 638 | C8 | — | 2 | 1 | no | — |
| 639 | C8 | — | 6 | 1 | no | — |
| 640 | C8 | — | 10 | 2 | no | — |
| 641 | C8 | — | 10 | 1 | no | — |
| 642 | C8 | — | 30 | 2 | no | — |
| 643 | C8 | — | 30 | 1 | no | — |
| 644 | C2×C3 | — | 2 | 1 | no | — |
| 645 | C2×C3 | — | 5 | 1 | no | — |
| 646 | C2×C3 | — | 5 | 1 | no | — |
| 647 | C2×C3 | — | 10 | 1 | no | — |
| 648 | C2×C3 | C2×(C2×AGL(1,𝔽5))⋊C4 | 1 | 1 | yes | characteristic |
| 649 | D3 | — | 2 | 1 | no | — |
| 650 | D3 | — | 5 | 2 | no | — |
| 651 | D3 | — | 10 | 1 | no | — |
| 652 | D3 | #64899 | 1 | 2 | yes | direct product factor |
| 653 | C5 | D3×#343 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 654 | C22 | — | 3 | 1 | no | — |
| 655 | C22 | — | 3 | 1 | no | — |
| 656 | C22 | — | 5 | 1 | no | — |
| 657 | C22 | — | 5 | 1 | no | — |
| 658 | C22 | — | 6 | 2 | no | — |
| 659 | C22 | — | 10 | 1 | no | — |
| 660 | C22 | — | 10 | 1 | no | — |
| 661 | C22 | — | 15 | 2 | no | — |
| 662 | C22 | — | 15 | 2 | no | — |
| 663 | C22 | — | 15 | 1 | no | — |
| 664 | C22 | — | 15 | 1 | no | — |
| 665 | C22 | — | 30 | 2 | no | — |
| 666 | C22 | — | 30 | 2 | no | — |
| 667 | C22 | — | 30 | 1 | no | — |
| 668 | C22 | — | 30 | 1 | no | — |
| 669 | C22 | — | 30 | 2 | no | — |
| 670 | C22 | C4×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 671 | C4 | — | 3 | 1 | no | — |
| 672 | C4 | — | 3 | 1 | no | — |
| 673 | C4 | — | 5 | 1 | no | — |
| 674 | C4 | — | 5 | 1 | no | — |
| 675 | C4 | — | 15 | 1 | no | — |
| 676 | C4 | — | 15 | 1 | no | — |
| 677 | C4 | — | 20 | 2 | no | — |
| 678 | C4 | — | 60 | 2 | no | — |
| 679 | C4 | D3×C4⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 680 | C4 | D3×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 681 | C3 | C2×#64899 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 682 | C2 | — | 2 | 1 | no | — |
| 683 | C2 | — | 3 | 2 | no | — |
| 684 | C2 | — | 5 | 1 | no | — |
| 685 | C2 | — | 5 | 1 | no | — |
| 686 | C2 | — | 6 | 1 | no | — |
| 687 | C2 | — | 10 | 1 | no | — |
| 688 | C2 | — | 15 | 2 | no | — |
| 689 | C2 | — | 30 | 1 | no | — |
| 690 | C2 | D3×(C2×AGL(1,𝔽5))⋊C4 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta