| 1 | C2×ΓL(1,𝔽16)⋊Q8 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11752371 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C2×#91159 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C2×#91154 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | D5×#810 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | C3×#64874 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #11746517 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #10603990 | — | 3 | 1 | no | maximal, Hall |
| 9 | C2×D5×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×C4⋊ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 11 | C2×C4⋊ΓL(1,𝔽16) | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×C4×ΓL(1,𝔽16) | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C3×C4⋊AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×C3×D5⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×Dic3⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 16 | C2×Dic3×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 17 | ΓL(1,𝔽16)⋊Q8 | — | 2 | 2 | no | — |
| 18 | ΓL(1,𝔽16)⋊Q8 | — | 2 | 2 | no | — |
| 19 | C3×D5×C4⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×D5×C3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 21 | #91235 | — | 2 | 1 | no | — |
| 22 | #91159 | — | 2 | 2 | no | — |
| 23 | #91154 | — | 2 | 2 | no | — |
| 24 | #91094 | C4 | 1 | 1 | yes | characteristic, complemented |
| 25 | C5×#810 | C4 | 1 | 1 | yes | characteristic, complemented |
| 26 | #90974 | C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | #90972 | C4 | 1 | 1 | yes | characteristic, complemented |
| 28 | #68907 | — | 5 | 1 | no | maximal, Hall |
| 29 | C2×Q8×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 30 | C2×#4009 | — | 3 | 1 | no | — |
| 31 | C2×#3993 | — | 3 | 1 | no | — |
| 32 | #65712 | — | 3 | 1 | no | — |
| 33 | D5×#103 | — | 3 | 1 | no | — |
| 34 | (C2×AGL(1,𝔽5))⋊C8 | — | 3 | 1 | no | — |
| 35 | #64874 | D3 | 1 | 1 | yes | characteristic |
| 36 | C22×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 37 | C22×ΓL(1,𝔽16) | D4 | 1 | 1 | yes | characteristic |
| 38 | C22×ΓL(1,𝔽16) | D4 | 1 | 1 | yes | characteristic |
| 39 | C22×C3×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 40 | C2×Dic30 | C2×C4 | 1 | 1 | yes | characteristic |
| 41 | C2×C5×Dic6 | C2×C4 | 1 | 1 | yes | characteristic |
| 42 | C2×C3×C4×D5 | — | 2 | 1 | no | — |
| 43 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 44 | C2×#1204 | — | 2 | 1 | no | — |
| 45 | C2×D5×Dic3 | — | 2 | 1 | no | — |
| 46 | D5×Dic6 | — | 2 | 1 | no | — |
| 47 | D5×Dic6 | — | 2 | 1 | no | — |
| 48 | D5×Dic6 | D4 | 1 | 2 | yes | — |
| 49 | D5×Dic6 | Q8 | 1 | 2 | yes | — |
| 50 | C4⋊ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 51 | C4⋊ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 52 | C4⋊ΓL(1,𝔽16) | — | 4 | 2 | no | — |
| 53 | C4×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 54 | C4×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 55 | C2×C3×#170 | — | 2 | 1 | no | — |
| 56 | C3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 57 | C3×C4⋊AGL(1,𝔽5) | D4 | 1 | 2 | yes | — |
| 58 | C3×D5⋊C8 | — | 2 | 1 | no | — |
| 59 | C3×D5⋊C8 | — | 2 | 1 | no | — |
| 60 | Dic3⋊AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 61 | Dic3×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 62 | C3×C5×C4⋊C4 | C2×C4 | 1 | 1 | yes | characteristic |
| 63 | C2×C3⋊#168 | C2×C4 | 1 | 1 | yes | characteristic |
| 64 | C2×C5×C3⋊C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 65 | C3×C4⋊Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 66 | C3×#683 | — | 2 | 1 | no | — |
| 67 | D5×C3⋊C8 | — | 2 | 1 | no | — |
| 68 | D5×C3⋊C8 | — | 2 | 1 | no | — |
| 69 | C2×#887 | — | 5 | 1 | no | — |
| 70 | C2×#816 | — | 5 | 1 | no | — |
| 71 | #4984 | — | 5 | 1 | no | — |
| 72 | C2×#810 | — | 5 | 1 | no | — |
| 73 | C2×#808 | — | 5 | 1 | no | — |
| 74 | C3×#340 | — | 5 | 1 | no | — |
| 75 | #4550 | — | 5 | 1 | no | — |
| 76 | C2×Q8×D5 | — | 3 | 1 | no | — |
| 77 | Q8×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 78 | Q8×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 79 | C2×C4⋊AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 80 | C2×C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 81 | C2×C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 82 | C2×C4⋊AGL(1,𝔽5) | C2×D3 | 1 | 1 | yes | characteristic |
| 83 | C2×C4×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 84 | C2×C4×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 85 | C2×D5⋊C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 86 | C2×C8×D5 | — | 3 | 1 | no | — |
| 87 | D5×C4⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 88 | #4009 | — | 6 | 2 | no | — |
| 89 | (C2×AGL(1,𝔽5))⋊C4 | — | 6 | 1 | no | — |
| 90 | #3993 | — | 6 | 2 | no | — |
| 91 | C5×#103 | — | 3 | 1 | no | — |
| 92 | #3967 | — | 3 | 1 | no | — |
| 93 | #3948 | — | 3 | 1 | no | — |
| 94 | #3942 | — | 3 | 1 | no | — |
| 95 | #1865 | — | 15 | 1 | no | Sylow |
| 96 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 97 | C2×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 98 | C2×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 99 | C2×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 100 | C2×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 101 | C2×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 102 | C2×ΓL(1,𝔽16) | — | 4 | 1 | no | — |
| 103 | C2×ΓL(1,𝔽16) | — | 4 | 1 | no | — |
| 104 | C2×ΓL(1,𝔽16) | — | 4 | 1 | no | — |
| 105 | C2×ΓL(1,𝔽16) | SD16 | 1 | 2 | yes | — |
| 106 | C2×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 107 | C2×C3×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 108 | C2×C3×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 109 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 110 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 111 | C2×Dic15 | — | 2 | 1 | no | — |
| 112 | Dic30 | — | 2 | 1 | no | — |
| 113 | Dic30 | C4⋊C4 | 1 | 2 | yes | complemented |
| 114 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 115 | C5×Dic6 | — | 2 | 1 | no | — |
| 116 | C5×Dic6 | C4⋊C4 | 1 | 2 | yes | complemented |
| 117 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 118 | C2×C3×Dic5 | #41 | 1 | 1 | yes | characteristic |
| 119 | C3×C4×D5 | — | 4 | 1 | no | — |
| 120 | C3×C4×D5 | — | 4 | 1 | no | — |
| 121 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 122 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C3×C4×D5 | C2×Q8 | 1 | 1 | yes | characteristic |
| 124 | C3×C4×D5 | #41 | 1 | 1 | yes | characteristic |
| 125 | #1204 | — | 2 | 2 | no | — |
| 126 | #1204 | — | 2 | 2 | no | — |
| 127 | D5×Dic3 | — | 2 | 2 | no | — |
| 128 | D5×Dic3 | — | 2 | 2 | no | — |
| 129 | C3×#170 | — | 4 | 1 | no | — |
| 130 | C3⋊#168 | — | 2 | 1 | no | — |
| 131 | C5×C3⋊C8 | — | 2 | 1 | no | — |
| 132 | C22×Dic6 | — | 5 | 1 | no | — |
| 133 | C22×C3×C8 | — | 5 | 1 | no | — |
| 134 | C2×C3×C4⋊C4 | — | 5 | 1 | no | — |
| 135 | C2×C3×C4⋊C4 | — | 5 | 1 | no | — |
| 136 | C2×C4⋊Dic3 | — | 5 | 1 | no | — |
| 137 | C2×C4⋊Dic3 | — | 10 | 1 | no | — |
| 138 | C2×Dic3⋊C4 | — | 10 | 1 | no | — |
| 139 | C2×C4×Dic3 | — | 5 | 1 | no | — |
| 140 | C2×C4×Dic3 | — | 10 | 1 | no | — |
| 141 | C22×C3⋊C8 | — | 5 | 1 | no | — |
| 142 | #887 | — | 10 | 2 | no | — |
| 143 | #887 | — | 10 | 2 | no | — |
| 144 | C3⋊#95 | — | 10 | 1 | no | — |
| 145 | #816 | — | 10 | 2 | no | — |
| 146 | #810 | — | 5 | 1 | no | — |
| 147 | #810 | — | 5 | 1 | no | — |
| 148 | #810 | — | 5 | 1 | no | — |
| 149 | #810 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 150 | #808 | — | 10 | 2 | no | — |
| 151 | C22×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 152 | C22×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 153 | C22×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 154 | C22×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 155 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 156 | Q8×D5 | — | 3 | 2 | no | — |
| 157 | Q8×D5 | — | 3 | 2 | no | — |
| 158 | Q8×D5 | — | 6 | 1 | no | — |
| 159 | Q8×D5 | — | 6 | 1 | no | — |
| 160 | C2×C4×D5 | — | 2 | 1 | no | — |
| 161 | C2×C4×D5 | — | 6 | 1 | no | — |
| 162 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 163 | C2×Dic10 | — | 3 | 1 | no | — |
| 164 | C2×Dic10 | — | 6 | 1 | no | — |
| 165 | C2×#170 | — | 2 | 1 | no | — |
| 166 | C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 167 | C4⋊AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 168 | C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 169 | C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 170 | C4⋊AGL(1,𝔽5) | — | 12 | 2 | no | — |
| 171 | C4⋊AGL(1,𝔽5) | D12 | 1 | 2 | yes | — |
| 172 | C4×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 173 | C4×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 174 | C4×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 175 | D5⋊C8 | — | 2 | 1 | no | — |
| 176 | D5⋊C8 | — | 2 | 1 | no | — |
| 177 | C2×C5×C8 | — | 3 | 1 | no | — |
| 178 | C5×C4⋊C4 | C4×D3 | 1 | 1 | yes | characteristic |
| 179 | C4⋊Dic5 | C4×D3 | 1 | 1 | yes | characteristic |
| 180 | #683 | — | 2 | 1 | no | — |
| 181 | C2×#168 | — | 3 | 1 | no | — |
| 182 | C8×D5 | — | 6 | 1 | no | — |
| 183 | C8×D5 | — | 6 | 1 | no | — |
| 184 | C2×C4×Q8 | — | 15 | 1 | no | — |
| 185 | C2×#106 | — | 15 | 1 | no | — |
| 186 | C2×#103 | — | 15 | 1 | no | — |
| 187 | C2×#103 | — | 15 | 1 | no | — |
| 188 | #389 | — | 15 | 1 | no | — |
| 189 | #340 | — | 5 | 1 | no | — |
| 190 | #336 | — | 15 | 1 | no | — |
| 191 | C22×C3×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 192 | C2×C3×D5 | #120 | 1 | 1 | yes | characteristic |
| 193 | C2×C3×D5 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 194 | C2×C3×D5 | C2×SD16 | 1 | 1 | yes | characteristic |
| 195 | C2×C3×D5 | #135 | 1 | 1 | yes | characteristic |
| 196 | C2×C3×D5 | #137 | 1 | 1 | yes | characteristic |
| 197 | C2×C3×D5 | #137 | 1 | 1 | yes | characteristic |
| 198 | ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 199 | ΓL(1,𝔽16) | — | 4 | 1 | no | — |
| 200 | ΓL(1,𝔽16) | — | 8 | 1 | no | — |
| 201 | C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 202 | C3×C4×C5 | — | 4 | 1 | no | — |
| 203 | C3×C4×C5 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 204 | C3×C4×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 205 | Dic15 | — | 2 | 2 | no | — |
| 206 | C3×Dic5 | — | 4 | 1 | no | — |
| 207 | C3×Dic5 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 208 | C3×Dic5 | #123 | 1 | 1 | yes | characteristic |
| 209 | C5×Dic3 | — | 2 | 2 | no | — |
| 210 | C22×C3×C4 | — | 5 | 1 | no | — |
| 211 | C22×C3×C4 | — | 10 | 1 | no | — |
| 212 | C22×C3×C4 | — | 10 | 1 | no | — |
| 213 | C22×Dic3 | — | 5 | 1 | no | — |
| 214 | C22×Dic3 | — | 5 | 1 | no | — |
| 215 | C22×Dic3 | — | 10 | 1 | no | — |
| 216 | C22×Dic3 | — | 10 | 1 | no | — |
| 217 | C2×Dic6 | — | 5 | 1 | no | — |
| 218 | C2×Dic6 | — | 5 | 2 | no | — |
| 219 | C2×Dic6 | — | 5 | 2 | no | — |
| 220 | C2×Dic6 | — | 10 | 1 | no | — |
| 221 | C2×Dic6 | — | 10 | 1 | no | — |
| 222 | C2×Dic6 | — | 10 | 1 | no | — |
| 223 | C2×Dic6 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 224 | C2×C3×C8 | — | 10 | 1 | no | — |
| 225 | C2×C3×C8 | — | 10 | 1 | no | — |
| 226 | C2×C3×C8 | — | 10 | 1 | no | — |
| 227 | C3×C4⋊C4 | — | 5 | 2 | no | — |
| 228 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 229 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 230 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 231 | C3×C4⋊C4 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 232 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 233 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 234 | C4⋊Dic3 | — | 20 | 2 | no | — |
| 235 | Dic3⋊C4 | — | 10 | 4 | no | — |
| 236 | C4×Dic3 | — | 10 | 1 | no | — |
| 237 | C4×Dic3 | — | 10 | 1 | no | — |
| 238 | C4×Dic3 | — | 10 | 4 | no | — |
| 239 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 240 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 241 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 242 | C2×C3⋊C8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 243 | C22×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 244 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 245 | C2×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 246 | C2×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 247 | C2×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 248 | C2×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 249 | C2×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 250 | C2×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 251 | C2×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 252 | C2×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 253 | C2×AGL(1,𝔽5) | — | 12 | 1 | no | — |
| 254 | C2×AGL(1,𝔽5) | — | 12 | 1 | no | — |
| 255 | C2×AGL(1,𝔽5) | — | 12 | 1 | no | — |
| 256 | C5×Q8 | — | 3 | 2 | no | — |
| 257 | C5×Q8 | — | 6 | 1 | no | — |
| 258 | C2×C4×C5 | — | 2 | 1 | no | — |
| 259 | C2×C4×C5 | — | 6 | 1 | no | — |
| 260 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 261 | C2×Dic5 | — | 2 | 1 | no | — |
| 262 | C2×Dic5 | — | 6 | 1 | no | — |
| 263 | C2×Dic5 | #237 | 1 | 1 | yes | characteristic |
| 264 | C4×D5 | — | 4 | 1 | no | — |
| 265 | C4×D5 | — | 4 | 1 | no | — |
| 266 | C4×D5 | — | 6 | 2 | no | — |
| 267 | C4×D5 | — | 6 | 2 | no | — |
| 268 | C4×D5 | C2×D12 | 1 | 1 | yes | characteristic |
| 269 | C4×D5 | #235 | 1 | 1 | yes | characteristic |
| 270 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 271 | C4×D5 | D3×Q8 | 1 | 1 | yes | characteristic |
| 272 | Dic10 | — | 3 | 2 | no | — |
| 273 | Dic10 | — | 6 | 1 | no | — |
| 274 | Dic10 | — | 6 | 2 | no | — |
| 275 | Dic10 | — | 6 | 2 | no | — |
| 276 | #170 | — | 4 | 1 | no | — |
| 277 | C5×C8 | — | 6 | 1 | no | — |
| 278 | #168 | — | 6 | 1 | no | — |
| 279 | C22×Q8 | — | 15 | 1 | no | — |
| 280 | C22×C8 | — | 5 | 1 | no | — |
| 281 | C22×C8 | — | 15 | 1 | no | — |
| 282 | C4×Q8 | — | 30 | 2 | no | — |
| 283 | C4×Q8 | — | 30 | 2 | no | — |
| 284 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 285 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 286 | C2×C4⋊C4 | — | 15 | 1 | no | — |
| 287 | C2×C4⋊C4 | — | 30 | 1 | no | — |
| 288 | C2×C4⋊C4 | — | 30 | 1 | no | — |
| 289 | C2×C42 | — | 15 | 1 | no | — |
| 290 | C2×C42 | — | 30 | 1 | no | — |
| 291 | #106 | — | 30 | 2 | no | — |
| 292 | #103 | — | 3 | 1 | no | — |
| 293 | #103 | — | 15 | 1 | no | — |
| 294 | #103 | — | 15 | 1 | no | — |
| 295 | #103 | — | 15 | 1 | no | — |
| 296 | #103 | — | 30 | 2 | no | — |
| 297 | #95 | — | 30 | 1 | no | — |
| 298 | C2×C3×C5 | #385 | 1 | 1 | yes | characteristic |
| 299 | C2×C3×C5 | C4×SD16 | 1 | 1 | yes | characteristic |
| 300 | C2×C3×C5 | #441 | 1 | 1 | yes | characteristic |
| 301 | C3×D5 | #448 | 1 | 1 | yes | characteristic |
| 302 | C3×D5 | #452 | 1 | 1 | yes | characteristic |
| 303 | C3×D5 | #475 | 1 | 1 | yes | characteristic |
| 304 | C3×D5 | #479 | 1 | 1 | yes | characteristic |
| 305 | C23×C3 | — | 5 | 1 | no | — |
| 306 | C2×C3×C4 | — | 2 | 1 | no | — |
| 307 | C2×C3×C4 | — | 5 | 1 | no | — |
| 308 | C2×C3×C4 | — | 5 | 1 | no | — |
| 309 | C2×C3×C4 | — | 5 | 1 | no | — |
| 310 | C2×C3×C4 | — | 5 | 1 | no | — |
| 311 | C2×C3×C4 | — | 5 | 1 | no | — |
| 312 | C2×C3×C4 | — | 10 | 2 | no | — |
| 313 | C2×C3×C4 | — | 10 | 1 | no | — |
| 314 | C2×C3×C4 | — | 20 | 1 | no | — |
| 315 | C2×C3×C4 | — | 20 | 1 | no | — |
| 316 | C2×C3×C4 | — | 20 | 1 | no | — |
| 317 | C2×C3×C4 | — | 20 | 1 | no | — |
| 318 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 319 | C2×Dic3 | — | 2 | 1 | no | — |
| 320 | C2×Dic3 | — | 5 | 2 | no | — |
| 321 | C2×Dic3 | — | 10 | 2 | no | — |
| 322 | C2×Dic3 | — | 10 | 2 | no | — |
| 323 | C2×Dic3 | — | 10 | 1 | no | — |
| 324 | C2×Dic3 | — | 10 | 1 | no | — |
| 325 | C2×Dic3 | — | 10 | 1 | no | — |
| 326 | C2×Dic3 | — | 10 | 1 | no | — |
| 327 | C2×Dic3 | — | 10 | 1 | no | — |
| 328 | C2×Dic3 | — | 10 | 1 | no | — |
| 329 | C2×Dic3 | — | 20 | 1 | no | — |
| 330 | C2×Dic3 | — | 20 | 1 | no | — |
| 331 | C2×Dic3 | — | 20 | 1 | no | — |
| 332 | Dic6 | — | 2 | 1 | no | — |
| 333 | Dic6 | — | 5 | 2 | no | — |
| 334 | Dic6 | — | 10 | 2 | no | — |
| 335 | Dic6 | — | 10 | 2 | no | — |
| 336 | Dic6 | — | 10 | 1 | no | — |
| 337 | Dic6 | C4⋊AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 338 | C3×C8 | — | 20 | 1 | no | — |
| 339 | C3⋊C8 | — | 2 | 1 | no | — |
| 340 | C3⋊C8 | — | 10 | 1 | no | — |
| 341 | C22×C5 | #67⋊C4 | 1 | 1 | yes | characteristic |
| 342 | C2×D5 | #882 | 1 | 1 | yes | characteristic |
| 343 | C2×D5 | #896 | 1 | 1 | yes | characteristic |
| 344 | C2×D5 | #912 | 1 | 1 | yes | characteristic |
| 345 | C2×D5 | D3×SD16 | 1 | 1 | yes | characteristic |
| 346 | C2×D5 | #915 | 1 | 1 | yes | characteristic |
| 347 | C2×D5 | #918 | 1 | 1 | yes | characteristic |
| 348 | AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 349 | AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 350 | AGL(1,𝔽5) | — | 12 | 1 | no | — |
| 351 | AGL(1,𝔽5) | — | 24 | 1 | no | — |
| 352 | C4×C5 | — | 4 | 1 | no | — |
| 353 | C4×C5 | — | 6 | 2 | no | — |
| 354 | C4×C5 | C4×D12 | 1 | 1 | yes | characteristic |
| 355 | C4×C5 | D3×C4⋊C4 | 1 | 1 | yes | characteristic |
| 356 | Dic5 | — | 4 | 1 | no | — |
| 357 | Dic5 | — | 6 | 2 | no | — |
| 358 | Dic5 | #883 | 1 | 1 | yes | characteristic |
| 359 | Dic5 | #897 | 1 | 1 | yes | characteristic |
| 360 | C2×Q8 | — | 3 | 1 | no | — |
| 361 | C2×Q8 | — | 15 | 2 | no | — |
| 362 | C2×Q8 | — | 15 | 2 | no | — |
| 363 | C2×Q8 | — | 15 | 1 | no | — |
| 364 | C2×Q8 | — | 30 | 1 | no | — |
| 365 | C2×Q8 | — | 30 | 1 | no | — |
| 366 | C2×Q8 | — | 30 | 1 | no | — |
| 367 | C22×C4 | — | 5 | 1 | no | — |
| 368 | C22×C4 | — | 10 | 1 | no | — |
| 369 | C22×C4 | — | 10 | 1 | no | — |
| 370 | C22×C4 | — | 15 | 1 | no | — |
| 371 | C22×C4 | — | 15 | 1 | no | — |
| 372 | C22×C4 | — | 30 | 1 | no | — |
| 373 | C22×C4 | — | 30 | 1 | no | — |
| 374 | C2×C8 | — | 3 | 1 | no | — |
| 375 | C2×C8 | — | 10 | 1 | no | — |
| 376 | C2×C8 | — | 10 | 1 | no | — |
| 377 | C2×C8 | — | 10 | 1 | no | — |
| 378 | C2×C8 | — | 15 | 1 | no | — |
| 379 | C2×C8 | — | 30 | 1 | no | — |
| 380 | C2×C8 | — | 30 | 1 | no | — |
| 381 | C4⋊C4 | — | 5 | 2 | no | — |
| 382 | C4⋊C4 | — | 5 | 1 | no | — |
| 383 | C4⋊C4 | — | 10 | 1 | no | — |
| 384 | C4⋊C4 | — | 10 | 1 | no | — |
| 385 | C4⋊C4 | — | 30 | 1 | no | — |
| 386 | C4⋊C4 | — | 30 | 1 | no | — |
| 387 | C4⋊C4 | — | 30 | 4 | no | — |
| 388 | C4⋊C4 | — | 60 | 2 | no | — |
| 389 | C4⋊C4 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 390 | C42 | — | 30 | 1 | no | — |
| 391 | C42 | — | 30 | 1 | no | — |
| 392 | C42 | — | 30 | 4 | no | — |
| 393 | C3×C5 | #1865 | 1 | 1 | yes | characteristic, complemented, Hall |
| 394 | C22×C3 | — | 5 | 1 | no | — |
| 395 | C22×C3 | — | 5 | 1 | no | — |
| 396 | C22×C3 | — | 5 | 1 | no | — |
| 397 | C22×C3 | — | 5 | 1 | no | — |
| 398 | C22×C3 | — | 5 | 1 | no | — |
| 399 | C22×C3 | — | 5 | 1 | no | — |
| 400 | C22×C3 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 401 | C3×C4 | — | 4 | 1 | no | — |
| 402 | C3×C4 | — | 5 | 1 | no | — |
| 403 | C3×C4 | — | 5 | 1 | no | — |
| 404 | C3×C4 | — | 20 | 2 | no | — |
| 405 | C3×C4 | — | 20 | 1 | no | — |
| 406 | C3×C4 | C2×C4⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 407 | C3×C4 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 408 | Dic3 | — | 2 | 2 | no | — |
| 409 | Dic3 | — | 10 | 2 | no | — |
| 410 | Dic3 | — | 10 | 2 | no | — |
| 411 | Dic3 | — | 20 | 1 | no | — |
| 412 | Dic3 | — | 40 | 1 | no | — |
| 413 | C2×C5 | #4668 | 1 | 1 | yes | characteristic |
| 414 | C2×C5 | #4758 | 1 | 1 | yes | characteristic |
| 415 | C2×C5 | #4789 | 1 | 1 | yes | characteristic |
| 416 | D5 | #4783 | 1 | 1 | yes | characteristic |
| 417 | D5 | #4806 | 1 | 1 | yes | characteristic |
| 418 | D5 | #4854 | 1 | 1 | yes | characteristic |
| 419 | D5 | #4877 | 1 | 1 | yes | characteristic |
| 420 | C23 | — | 5 | 1 | no | — |
| 421 | Q8 | — | 3 | 2 | no | — |
| 422 | Q8 | — | 6 | 1 | no | — |
| 423 | Q8 | — | 15 | 2 | no | — |
| 424 | Q8 | — | 30 | 2 | no | — |
| 425 | Q8 | — | 30 | 2 | no | — |
| 426 | Q8 | — | 30 | 1 | no | — |
| 427 | C2×C4 | — | 2 | 1 | no | — |
| 428 | C2×C4 | — | 5 | 1 | no | — |
| 429 | C2×C4 | — | 5 | 1 | no | — |
| 430 | C2×C4 | — | 5 | 1 | no | — |
| 431 | C2×C4 | — | 5 | 1 | no | — |
| 432 | C2×C4 | — | 5 | 1 | no | — |
| 433 | C2×C4 | — | 6 | 1 | no | — |
| 434 | C2×C4 | — | 10 | 2 | no | — |
| 435 | C2×C4 | — | 10 | 1 | no | — |
| 436 | C2×C4 | — | 15 | 2 | no | — |
| 437 | C2×C4 | — | 20 | 1 | no | — |
| 438 | C2×C4 | — | 20 | 1 | no | — |
| 439 | C2×C4 | — | 20 | 1 | no | — |
| 440 | C2×C4 | — | 20 | 1 | no | — |
| 441 | C2×C4 | — | 30 | 2 | no | — |
| 442 | C2×C4 | — | 30 | 2 | no | — |
| 443 | C2×C4 | — | 30 | 1 | no | — |
| 444 | C2×C4 | — | 30 | 1 | no | — |
| 445 | C2×C4 | — | 30 | 1 | no | — |
| 446 | C2×C4 | — | 30 | 1 | no | — |
| 447 | C2×C4 | — | 30 | 1 | no | — |
| 448 | C2×C4 | — | 30 | 1 | no | — |
| 449 | C2×C4 | — | 60 | 1 | no | — |
| 450 | C2×C4 | — | 60 | 1 | no | — |
| 451 | C2×C4 | — | 60 | 1 | no | — |
| 452 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 453 | C8 | — | 6 | 1 | no | — |
| 454 | C8 | — | 20 | 1 | no | — |
| 455 | C8 | — | 30 | 1 | no | — |
| 456 | C2×C3 | — | 5 | 1 | no | — |
| 457 | C2×C3 | — | 5 | 1 | no | — |
| 458 | C2×C3 | — | 5 | 1 | no | — |
| 459 | C2×C3 | — | 5 | 1 | no | — |
| 460 | C2×C3 | #65699 | 1 | 1 | yes | characteristic |
| 461 | C2×C3 | SD16×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 462 | C2×C3 | #65739 | 1 | 1 | yes | characteristic |
| 463 | C5 | #68907 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 464 | C22 | — | 5 | 1 | no | — |
| 465 | C22 | — | 5 | 1 | no | — |
| 466 | C22 | — | 5 | 1 | no | — |
| 467 | C22 | — | 5 | 1 | no | — |
| 468 | C22 | — | 5 | 1 | no | — |
| 469 | C22 | — | 5 | 1 | no | — |
| 470 | C22 | #67⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 471 | C4 | — | 4 | 1 | no | — |
| 472 | C4 | — | 5 | 1 | no | — |
| 473 | C4 | — | 5 | 1 | no | — |
| 474 | C4 | — | 6 | 2 | no | — |
| 475 | C4 | — | 20 | 2 | no | — |
| 476 | C4 | — | 20 | 1 | no | — |
| 477 | C4 | — | 30 | 2 | no | — |
| 478 | C4 | — | 30 | 2 | no | — |
| 479 | C4 | — | 60 | 1 | no | — |
| 480 | C4 | — | 120 | 1 | no | — |
| 481 | C4 | AGL(1,𝔽5)×D12 | 1 | 1 | yes | characteristic |
| 482 | C4 | D3×C4⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 483 | C3 | #10603990 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 484 | C2 | — | 5 | 1 | no | — |
| 485 | C2 | — | 5 | 1 | no | — |
| 486 | C2 | — | 5 | 1 | no | — |
| 487 | C2 | — | 5 | 1 | no | — |
| 488 | C2 | #11751934 | 1 | 1 | yes | characteristic |
| 489 | C2 | #11751945 | 1 | 1 | yes | characteristic |
| 490 | C2 | #11751970 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta