| 1 | C2×C3×Q8×AGL(1,𝔽5) | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×AGL(1,𝔽5)×Dic6 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C2×D5×#216 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C2×#91238 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #11751968 | C2 | 1 | 8 | yes | maximal, direct product factor |
| 6 | C2×#91159 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | C2×#91153 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | C2×#91149 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | C2×#65739 | — | 3 | 1 | no | maximal, Hall |
| 10 | C2×C3×Q8×D5 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×D5×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×C4⋊ΓL(1,𝔽16) | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×D5⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 14 | C3×Q8×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 15 | C3×Q8×AGL(1,𝔽5) | C22 | 1 | 4 | yes | — |
| 16 | C2×C3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 17 | C2×C3×C4⋊AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C3×C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 19 | C2×C3×C4×AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×Dic3⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 21 | C2×Dic3×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 22 | AGL(1,𝔽5)×Dic6 | — | 2 | 2 | no | — |
| 23 | AGL(1,𝔽5)×Dic6 | C22 | 1 | 4 | yes | — |
| 24 | C2×#6718 | C4 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×C5×#216 | C4 | 1 | 1 | yes | characteristic, complemented |
| 26 | D5×#216 | C4 | 1 | 4 | yes | complemented |
| 27 | D5×#216 | C22 | 1 | 4 | yes | — |
| 28 | C2×#6662 | C4 | 1 | 1 | yes | characteristic, complemented |
| 29 | C2×#6661 | C4 | 1 | 1 | yes | characteristic, complemented |
| 30 | C2×D5×C3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 31 | #91238 | C22 | 1 | 4 | yes | — |
| 32 | #91159 | C22 | 1 | 4 | yes | — |
| 33 | #91153 | C22 | 1 | 4 | yes | — |
| 34 | #91149 | C22 | 1 | 4 | yes | — |
| 35 | C2×#5030 | — | 5 | 1 | no | maximal, Hall |
| 36 | C2×Q8×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 37 | C2×Q8×AGL(1,𝔽5) | D3 | 1 | 1 | yes | characteristic |
| 38 | C2×D5×Q16 | — | 3 | 1 | no | — |
| 39 | C2×#4009 | — | 3 | 1 | no | — |
| 40 | C2×#4009 | — | 3 | 1 | no | — |
| 41 | #65739 | — | 3 | 8 | no | — |
| 42 | C2×#3993 | — | 3 | 1 | no | — |
| 43 | C2×#3992 | — | 3 | 1 | no | — |
| 44 | C22×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 45 | C22×C3×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 46 | C22×C3×AGL(1,𝔽5) | D4 | 1 | 1 | yes | characteristic |
| 47 | C22×C3×AGL(1,𝔽5) | D4 | 1 | 1 | yes | characteristic |
| 48 | C2×C3×C5×Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 49 | C2×Dic30 | C2×C4 | 1 | 1 | yes | characteristic |
| 50 | C2×C5×Dic6 | C2×C4 | 1 | 1 | yes | characteristic |
| 51 | C3×Q8×D5 | — | 2 | 1 | no | — |
| 52 | C3×Q8×D5 | — | 2 | 1 | no | — |
| 53 | C3×Q8×D5 | C2×C4 | 1 | 2 | yes | — |
| 54 | C3×Q8×D5 | C23 | 1 | 2 | yes | — |
| 55 | C2×C3×C4×D5 | — | 2 | 1 | no | — |
| 56 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 57 | C2×C3×Dic10 | — | 2 | 1 | no | — |
| 58 | C2×C3×Dic10 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | C2×#1204 | — | 2 | 1 | no | — |
| 60 | C2×D5×Dic3 | — | 2 | 1 | no | — |
| 61 | D5×Dic6 | — | 2 | 1 | no | — |
| 62 | D5×Dic6 | — | 2 | 1 | no | — |
| 63 | D5×Dic6 | C2×C4 | 1 | 2 | yes | — |
| 64 | D5×Dic6 | C23 | 1 | 2 | yes | — |
| 65 | C2×C3⋊#170 | — | 2 | 1 | no | — |
| 66 | C4⋊ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 67 | C4⋊ΓL(1,𝔽16) | C23 | 1 | 2 | yes | — |
| 68 | D5⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 69 | D5⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 70 | C3×C4⋊AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 71 | C3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 72 | C3×C4⋊AGL(1,𝔽5) | C23 | 1 | 2 | yes | — |
| 73 | C3×C4×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 74 | C3×C4×AGL(1,𝔽5) | D4 | 1 | 2 | yes | — |
| 75 | C3×C4×AGL(1,𝔽5) | C23 | 1 | 2 | yes | — |
| 76 | Dic3⋊AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 77 | Dic3×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 78 | #6718 | C2×C4 | 1 | 4 | yes | complemented |
| 79 | C2×C3⋊#168 | C2×C4 | 1 | 1 | yes | characteristic |
| 80 | C5×#216 | C2×C4 | 1 | 4 | yes | complemented |
| 81 | C2×C5×C3⋊C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 82 | #6662 | C2×C4 | 1 | 4 | yes | complemented |
| 83 | #6661 | C2×C4 | 1 | 4 | yes | complemented |
| 84 | D5×C3⋊C8 | C2×C4 | 1 | 2 | yes | — |
| 85 | D5×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 86 | C2×C3×C4×Q8 | — | 5 | 1 | no | — |
| 87 | C22×#216 | — | 5 | 1 | no | — |
| 88 | C2×C4×Dic6 | — | 5 | 1 | no | — |
| 89 | C2×#835 | — | 5 | 1 | no | — |
| 90 | #5030 | — | 5 | 8 | no | — |
| 91 | C2×#810 | — | 5 | 1 | no | — |
| 92 | C2×#808 | — | 5 | 1 | no | — |
| 93 | C2×#803 | — | 5 | 1 | no | — |
| 94 | C2×Q8×D5 | — | 3 | 1 | no | — |
| 95 | C2×Q8×D5 | C2×D3 | 1 | 1 | yes | characteristic |
| 96 | Q8×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 97 | Q8×AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 98 | Q8×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 99 | Q8×AGL(1,𝔽5) | C2×D3 | 1 | 4 | yes | — |
| 100 | C2×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 101 | C2×C4⋊AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 102 | C2×C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 103 | C2×C4⋊AGL(1,𝔽5) | C2×D3 | 1 | 1 | yes | characteristic |
| 104 | C2×C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 105 | C2×C4×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 106 | C2×C4×AGL(1,𝔽5) | C2×D3 | 1 | 1 | yes | characteristic |
| 107 | C2×D5⋊C8 | — | 3 | 1 | no | — |
| 108 | C2×C5×Q16 | — | 3 | 1 | no | — |
| 109 | C2×#689 | — | 3 | 1 | no | — |
| 110 | C2×#689 | — | 3 | 1 | no | — |
| 111 | D5×Q16 | — | 3 | 4 | no | — |
| 112 | D5×Q16 | — | 3 | 4 | no | — |
| 113 | C2×Dic20 | — | 3 | 1 | no | — |
| 114 | C2×C8×D5 | — | 3 | 1 | no | — |
| 115 | #4009 | — | 3 | 4 | no | — |
| 116 | #4009 | — | 3 | 4 | no | — |
| 117 | #3993 | — | 3 | 4 | no | — |
| 118 | #3992 | — | 3 | 4 | no | — |
| 119 | C2×#441 | — | 15 | 1 | no | Sylow |
| 120 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 121 | C2×ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 122 | C2×ΓL(1,𝔽16) | — | 4 | 2 | no | — |
| 123 | C2×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 124 | C2×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 125 | C2×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 126 | C2×C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 127 | C2×C3×AGL(1,𝔽5) | C2×D4 | 1 | 2 | yes | — |
| 128 | C2×C3×AGL(1,𝔽5) | C2×D4 | 1 | 2 | yes | — |
| 129 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 130 | C3×C5×Q8 | C22×C4 | 1 | 2 | yes | — |
| 131 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 132 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 133 | C2×Dic15 | — | 2 | 1 | no | — |
| 134 | Dic30 | — | 2 | 1 | no | — |
| 135 | Dic30 | C22×C4 | 1 | 2 | yes | — |
| 136 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 137 | C5×Dic6 | — | 2 | 1 | no | — |
| 138 | C5×Dic6 | C22×C4 | 1 | 2 | yes | — |
| 139 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 140 | C2×C3×Dic5 | #41 | 1 | 1 | yes | characteristic |
| 141 | C3×C4×D5 | — | 2 | 2 | no | — |
| 142 | C3×C4×D5 | — | 2 | 2 | no | — |
| 143 | C3×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 144 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 145 | C3×C4×D5 | #41 | 1 | 1 | yes | characteristic |
| 146 | C3×C4×D5 | C24 | 1 | 1 | yes | characteristic |
| 147 | C3×Dic10 | — | 2 | 1 | no | — |
| 148 | C3×Dic10 | — | 2 | 2 | no | — |
| 149 | C3×Dic10 | — | 2 | 2 | no | — |
| 150 | C3×Dic10 | C22×C4 | 1 | 2 | yes | — |
| 151 | #1204 | — | 2 | 2 | no | — |
| 152 | #1204 | — | 2 | 2 | no | — |
| 153 | D5×Dic3 | — | 2 | 2 | no | — |
| 154 | D5×Dic3 | — | 2 | 2 | no | — |
| 155 | C3⋊#170 | — | 2 | 2 | no | — |
| 156 | C3⋊#168 | C22×C4 | 1 | 2 | yes | — |
| 157 | C5×C3⋊C8 | C22×C4 | 1 | 2 | yes | — |
| 158 | C22×C3×Q8 | — | 5 | 1 | no | — |
| 159 | C22×Dic6 | — | 5 | 1 | no | — |
| 160 | C3×C4×Q8 | — | 5 | 4 | no | — |
| 161 | C3×C4×Q8 | — | 10 | 2 | no | — |
| 162 | C2×C3×C4⋊C4 | — | 5 | 1 | no | — |
| 163 | C2×C3×C4⋊C4 | — | 10 | 1 | no | — |
| 164 | C2×C3×C42 | — | 5 | 1 | no | — |
| 165 | C2×C3×C42 | — | 10 | 1 | no | — |
| 166 | C2×#216 | — | 5 | 1 | no | — |
| 167 | C2×#216 | — | 5 | 1 | no | — |
| 168 | C2×#216 | — | 5 | 4 | no | — |
| 169 | C2×#216 | — | 5 | 4 | no | — |
| 170 | C2×#216 | — | 5 | 1 | no | — |
| 171 | C2×#216 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 172 | C2×C4⋊Dic3 | — | 5 | 1 | no | — |
| 173 | C2×Dic3⋊C4 | — | 10 | 1 | no | — |
| 174 | C2×C4×Dic3 | — | 10 | 1 | no | — |
| 175 | C22×C3⋊C8 | — | 5 | 1 | no | — |
| 176 | C22×C3⋊C8 | — | 5 | 1 | no | — |
| 177 | C4×Dic6 | — | 5 | 4 | no | — |
| 178 | C4×Dic6 | — | 10 | 2 | no | — |
| 179 | #835 | — | 5 | 4 | no | — |
| 180 | #810 | — | 5 | 4 | no | — |
| 181 | #808 | — | 5 | 4 | no | — |
| 182 | #803 | — | 5 | 4 | no | — |
| 183 | C22×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 184 | C22×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 185 | C22×AGL(1,𝔽5) | #67 | 1 | 1 | yes | characteristic |
| 186 | C22×AGL(1,𝔽5) | #67 | 1 | 1 | yes | characteristic |
| 187 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 188 | C2×C5×Q8 | C4×D3 | 1 | 1 | yes | characteristic |
| 189 | Q8×D5 | — | 2 | 1 | no | — |
| 190 | Q8×D5 | — | 2 | 1 | no | — |
| 191 | Q8×D5 | — | 3 | 2 | no | — |
| 192 | Q8×D5 | — | 3 | 2 | no | — |
| 193 | Q8×D5 | — | 6 | 1 | no | — |
| 194 | Q8×D5 | — | 6 | 1 | no | — |
| 195 | Q8×D5 | C4×D3 | 1 | 2 | yes | — |
| 196 | Q8×D5 | C22×D3 | 1 | 2 | yes | — |
| 197 | C2×C4×D5 | — | 2 | 1 | no | — |
| 198 | C2×C4×D5 | — | 6 | 1 | no | — |
| 199 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 200 | C2×Dic10 | — | 2 | 1 | no | — |
| 201 | C2×Dic10 | — | 3 | 1 | no | — |
| 202 | C2×Dic10 | — | 6 | 1 | no | — |
| 203 | C2×Dic10 | C4×D3 | 1 | 1 | yes | characteristic |
| 204 | C2×#170 | — | 6 | 1 | no | — |
| 205 | C4⋊AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 206 | C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 207 | C4⋊AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 208 | C4⋊AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 209 | C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 210 | C4⋊AGL(1,𝔽5) | C22×D3 | 1 | 2 | yes | — |
| 211 | C4×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 212 | C4×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 213 | C4×AGL(1,𝔽5) | #67 | 1 | 2 | yes | — |
| 214 | C4×AGL(1,𝔽5) | C22×D3 | 1 | 2 | yes | — |
| 215 | D5⋊C8 | — | 3 | 2 | no | — |
| 216 | D5⋊C8 | — | 6 | 1 | no | — |
| 217 | C5×Q16 | — | 3 | 4 | no | — |
| 218 | C2×C5×C8 | — | 3 | 1 | no | — |
| 219 | #689 | — | 3 | 4 | no | — |
| 220 | #689 | — | 3 | 4 | no | — |
| 221 | C2×#168 | — | 3 | 1 | no | — |
| 222 | Dic20 | — | 3 | 4 | no | — |
| 223 | C8×D5 | — | 3 | 2 | no | — |
| 224 | C8×D5 | — | 3 | 2 | no | — |
| 225 | C22×Q16 | — | 15 | 1 | no | — |
| 226 | C2×C4×Q8 | — | 5 | 1 | no | — |
| 227 | C2×C4×Q8 | — | 15 | 1 | no | — |
| 228 | #441 | — | 15 | 8 | no | — |
| 229 | C2×#106 | — | 15 | 1 | no | — |
| 230 | C2×#103 | — | 15 | 1 | no | — |
| 231 | C2×#103 | — | 15 | 1 | no | — |
| 232 | C2×#97 | — | 15 | 1 | no | — |
| 233 | C22×C3×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 234 | C2×C3×D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 235 | C2×C3×D5 | #137 | 1 | 2 | yes | — |
| 236 | C2×C3×D5 | #137 | 1 | 2 | yes | — |
| 237 | C2×C3×D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 238 | ΓL(1,𝔽16) | — | 4 | 2 | no | — |
| 239 | C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 240 | C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 241 | C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 242 | C3×C4×C5 | — | 2 | 2 | no | — |
| 243 | C3×C4×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 244 | C3×C4×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 245 | Dic15 | — | 2 | 2 | no | — |
| 246 | C3×Dic5 | — | 2 | 2 | no | — |
| 247 | C3×Dic5 | C4×D4 | 1 | 1 | yes | characteristic |
| 248 | C3×Dic5 | C2×#41 | 1 | 1 | yes | characteristic |
| 249 | C5×Dic3 | — | 2 | 2 | no | — |
| 250 | C2×C3×Q8 | — | 5 | 2 | no | — |
| 251 | C2×C3×Q8 | — | 5 | 2 | no | — |
| 252 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 253 | C2×C3×Q8 | — | 10 | 1 | no | — |
| 254 | C2×C3×Q8 | — | 10 | 1 | no | — |
| 255 | C2×C3×Q8 | — | 10 | 1 | no | — |
| 256 | C2×C3×Q8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 257 | C22×C3×C4 | — | 5 | 1 | no | — |
| 258 | C22×C3×C4 | — | 5 | 1 | no | — |
| 259 | C22×C3×C4 | — | 5 | 1 | no | — |
| 260 | C22×C3×C4 | — | 10 | 1 | no | — |
| 261 | C22×C3×C4 | — | 10 | 1 | no | — |
| 262 | C22×Dic3 | — | 10 | 1 | no | — |
| 263 | C22×Dic3 | — | 10 | 1 | no | — |
| 264 | C2×Dic6 | — | 5 | 1 | no | — |
| 265 | C2×Dic6 | — | 5 | 2 | no | — |
| 266 | C2×Dic6 | — | 5 | 2 | no | — |
| 267 | C2×Dic6 | — | 10 | 1 | no | — |
| 268 | C2×Dic6 | — | 10 | 1 | no | — |
| 269 | C2×Dic6 | — | 10 | 1 | no | — |
| 270 | C2×Dic6 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 271 | C3×C4⋊C4 | — | 5 | 2 | no | — |
| 272 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 273 | C3×C4⋊C4 | — | 10 | 4 | no | — |
| 274 | C3×C42 | — | 5 | 2 | no | — |
| 275 | C3×C42 | — | 5 | 2 | no | — |
| 276 | C3×C42 | — | 10 | 4 | no | — |
| 277 | #216 | — | 5 | 4 | no | — |
| 278 | #216 | — | 5 | 4 | no | — |
| 279 | #216 | — | 5 | 4 | no | — |
| 280 | #216 | C2×AGL(1,𝔽5) | 1 | 4 | yes | complemented |
| 281 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 282 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 283 | Dic3⋊C4 | — | 10 | 4 | no | — |
| 284 | C4×Dic3 | — | 10 | 4 | no | — |
| 285 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 286 | C2×C3⋊C8 | — | 5 | 2 | no | — |
| 287 | C2×C3⋊C8 | — | 5 | 2 | no | — |
| 288 | C2×C3⋊C8 | — | 5 | 2 | no | — |
| 289 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 290 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 291 | C2×C3⋊C8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 292 | C22×D5 | C2×#67 | 1 | 1 | yes | characteristic |
| 293 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 294 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 295 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 296 | C2×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 297 | C2×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 298 | C2×AGL(1,𝔽5) | — | 12 | 2 | no | — |
| 299 | C2×AGL(1,𝔽5) | C2×#67 | 1 | 2 | yes | — |
| 300 | C2×AGL(1,𝔽5) | C2×#67 | 1 | 2 | yes | — |
| 301 | C5×Q8 | — | 2 | 1 | no | — |
| 302 | C5×Q8 | — | 3 | 2 | no | — |
| 303 | C5×Q8 | — | 6 | 1 | no | — |
| 304 | C5×Q8 | C2×C4×D3 | 1 | 2 | yes | — |
| 305 | C2×C4×C5 | — | 2 | 1 | no | — |
| 306 | C2×C4×C5 | — | 6 | 1 | no | — |
| 307 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 308 | C2×Dic5 | — | 2 | 1 | no | — |
| 309 | C2×Dic5 | — | 6 | 1 | no | — |
| 310 | C2×Dic5 | #235 | 1 | 1 | yes | characteristic |
| 311 | C4×D5 | — | 2 | 2 | no | — |
| 312 | C4×D5 | — | 2 | 2 | no | — |
| 313 | C4×D5 | — | 6 | 2 | no | — |
| 314 | C4×D5 | — | 6 | 2 | no | — |
| 315 | C4×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 316 | C4×D5 | #235 | 1 | 1 | yes | characteristic |
| 317 | C4×D5 | C2×#67 | 1 | 1 | yes | characteristic |
| 318 | C4×D5 | C23×D3 | 1 | 1 | yes | characteristic |
| 319 | Dic10 | — | 2 | 1 | no | — |
| 320 | Dic10 | — | 2 | 2 | no | — |
| 321 | Dic10 | — | 2 | 2 | no | — |
| 322 | Dic10 | — | 3 | 2 | no | — |
| 323 | Dic10 | — | 6 | 1 | no | — |
| 324 | Dic10 | — | 6 | 2 | no | — |
| 325 | Dic10 | — | 6 | 2 | no | — |
| 326 | Dic10 | C2×C4×D3 | 1 | 2 | yes | — |
| 327 | #170 | — | 6 | 2 | no | — |
| 328 | C5×C8 | — | 3 | 2 | no | — |
| 329 | #168 | — | 3 | 2 | no | — |
| 330 | C22×Q8 | — | 5 | 1 | no | — |
| 331 | C22×Q8 | — | 15 | 1 | no | — |
| 332 | C2×Q16 | — | 3 | 1 | no | — |
| 333 | C2×Q16 | — | 15 | 1 | no | — |
| 334 | C2×Q16 | — | 15 | 4 | no | — |
| 335 | C2×Q16 | — | 15 | 4 | no | — |
| 336 | C2×Q16 | — | 15 | 1 | no | — |
| 337 | C2×Q16 | — | 15 | 1 | no | — |
| 338 | C22×C8 | — | 15 | 1 | no | — |
| 339 | C22×C8 | — | 15 | 1 | no | — |
| 340 | C4×Q8 | — | 5 | 4 | no | — |
| 341 | C4×Q8 | — | 10 | 2 | no | — |
| 342 | C4×Q8 | — | 15 | 4 | no | — |
| 343 | C4×Q8 | — | 30 | 2 | no | — |
| 344 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 345 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 346 | C2×C4⋊C4 | — | 15 | 1 | no | — |
| 347 | C2×C4⋊C4 | — | 30 | 1 | no | — |
| 348 | C2×C42 | — | 5 | 1 | no | — |
| 349 | C2×C42 | — | 10 | 1 | no | — |
| 350 | C2×C42 | — | 30 | 1 | no | — |
| 351 | #106 | — | 15 | 4 | no | — |
| 352 | #103 | — | 15 | 4 | no | — |
| 353 | #103 | — | 15 | 4 | no | — |
| 354 | #97 | — | 15 | 4 | no | — |
| 355 | C2×C3×C5 | #441 | 1 | 2 | yes | complemented |
| 356 | C2×C3×C5 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 357 | C3×D5 | #441 | 1 | 2 | yes | complemented |
| 358 | C3×D5 | C2×#137 | 1 | 1 | yes | characteristic |
| 359 | C3×D5 | C2×#137 | 1 | 1 | yes | characteristic |
| 360 | C23×C3 | — | 5 | 1 | no | — |
| 361 | C3×Q8 | — | 2 | 1 | no | — |
| 362 | C3×Q8 | — | 5 | 2 | no | — |
| 363 | C3×Q8 | — | 10 | 2 | no | — |
| 364 | C3×Q8 | — | 10 | 2 | no | — |
| 365 | C3×Q8 | — | 10 | 1 | no | — |
| 366 | C3×Q8 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 367 | C2×C3×C4 | — | 2 | 1 | no | — |
| 368 | C2×C3×C4 | — | 5 | 1 | no | — |
| 369 | C2×C3×C4 | — | 5 | 1 | no | — |
| 370 | C2×C3×C4 | — | 5 | 1 | no | — |
| 371 | C2×C3×C4 | — | 5 | 1 | no | — |
| 372 | C2×C3×C4 | — | 5 | 1 | no | — |
| 373 | C2×C3×C4 | — | 5 | 2 | no | — |
| 374 | C2×C3×C4 | — | 5 | 2 | no | — |
| 375 | C2×C3×C4 | — | 10 | 2 | no | — |
| 376 | C2×C3×C4 | — | 10 | 2 | no | — |
| 377 | C2×C3×C4 | — | 10 | 2 | no | — |
| 378 | C2×C3×C4 | — | 10 | 2 | no | — |
| 379 | C2×C3×C4 | — | 10 | 1 | no | — |
| 380 | C2×C3×C4 | — | 10 | 2 | no | — |
| 381 | C2×C3×C4 | — | 20 | 2 | no | — |
| 382 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 383 | C2×Dic3 | — | 2 | 1 | no | — |
| 384 | C2×Dic3 | — | 10 | 2 | no | — |
| 385 | C2×Dic3 | — | 10 | 2 | no | — |
| 386 | C2×Dic3 | — | 10 | 1 | no | — |
| 387 | C2×Dic3 | — | 10 | 2 | no | — |
| 388 | C2×Dic3 | — | 20 | 2 | no | — |
| 389 | Dic6 | — | 2 | 1 | no | — |
| 390 | Dic6 | — | 5 | 2 | no | — |
| 391 | Dic6 | — | 10 | 2 | no | — |
| 392 | Dic6 | — | 10 | 2 | no | — |
| 393 | Dic6 | — | 10 | 1 | no | — |
| 394 | Dic6 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 395 | C3⋊C8 | — | 5 | 2 | no | — |
| 396 | C3⋊C8 | — | 10 | 2 | no | — |
| 397 | C3⋊C8 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 398 | C22×C5 | C4×#67 | 1 | 1 | yes | characteristic |
| 399 | C2×D5 | C4×#67 | 1 | 1 | yes | characteristic |
| 400 | C2×D5 | #942 | 1 | 2 | yes | — |
| 401 | C2×D5 | #951 | 1 | 2 | yes | — |
| 402 | C2×D5 | C22×#67 | 1 | 1 | yes | characteristic |
| 403 | AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 404 | AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 405 | AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 406 | AGL(1,𝔽5) | — | 12 | 2 | no | — |
| 407 | C4×C5 | — | 2 | 2 | no | — |
| 408 | C4×C5 | — | 6 | 2 | no | — |
| 409 | C4×C5 | C4×#67 | 1 | 1 | yes | characteristic |
| 410 | C4×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 411 | Dic5 | — | 2 | 2 | no | — |
| 412 | Dic5 | — | 6 | 2 | no | — |
| 413 | Dic5 | C4×#67 | 1 | 1 | yes | characteristic |
| 414 | Dic5 | C2×#235 | 1 | 1 | yes | characteristic |
| 415 | C2×Q8 | — | 3 | 1 | no | — |
| 416 | C2×Q8 | — | 5 | 2 | no | — |
| 417 | C2×Q8 | — | 5 | 2 | no | — |
| 418 | C2×Q8 | — | 5 | 1 | no | — |
| 419 | C2×Q8 | — | 10 | 1 | no | — |
| 420 | C2×Q8 | — | 10 | 1 | no | — |
| 421 | C2×Q8 | — | 10 | 1 | no | — |
| 422 | C2×Q8 | — | 15 | 2 | no | — |
| 423 | C2×Q8 | — | 15 | 2 | no | — |
| 424 | C2×Q8 | — | 15 | 1 | no | — |
| 425 | C2×Q8 | — | 30 | 1 | no | — |
| 426 | C2×Q8 | — | 30 | 1 | no | — |
| 427 | C2×Q8 | — | 30 | 1 | no | — |
| 428 | C2×Q8 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 429 | C22×C4 | — | 5 | 1 | no | — |
| 430 | C22×C4 | — | 5 | 1 | no | — |
| 431 | C22×C4 | — | 5 | 1 | no | — |
| 432 | C22×C4 | — | 10 | 1 | no | — |
| 433 | C22×C4 | — | 10 | 1 | no | — |
| 434 | C22×C4 | — | 30 | 1 | no | — |
| 435 | C22×C4 | — | 30 | 1 | no | — |
| 436 | Q16 | — | 3 | 4 | no | — |
| 437 | Q16 | — | 15 | 4 | no | — |
| 438 | Q16 | — | 15 | 4 | no | — |
| 439 | Q16 | — | 15 | 4 | no | — |
| 440 | C2×C8 | — | 3 | 1 | no | — |
| 441 | C2×C8 | — | 15 | 2 | no | — |
| 442 | C2×C8 | — | 15 | 2 | no | — |
| 443 | C2×C8 | — | 15 | 1 | no | — |
| 444 | C2×C8 | — | 15 | 2 | no | — |
| 445 | C2×C8 | — | 30 | 1 | no | — |
| 446 | C2×C8 | — | 30 | 1 | no | — |
| 447 | C4⋊C4 | — | 5 | 2 | no | — |
| 448 | C4⋊C4 | — | 10 | 1 | no | — |
| 449 | C4⋊C4 | — | 10 | 4 | no | — |
| 450 | C4⋊C4 | — | 15 | 2 | no | — |
| 451 | C4⋊C4 | — | 30 | 1 | no | — |
| 452 | C4⋊C4 | — | 30 | 4 | no | — |
| 453 | C42 | — | 5 | 2 | no | — |
| 454 | C42 | — | 5 | 2 | no | — |
| 455 | C42 | — | 10 | 4 | no | — |
| 456 | C42 | — | 30 | 4 | no | — |
| 457 | C3×C5 | C2×#441 | 1 | 1 | yes | characteristic, complemented, Hall |
| 458 | C22×C3 | — | 5 | 2 | no | — |
| 459 | C22×C3 | — | 5 | 2 | no | — |
| 460 | C22×C3 | — | 5 | 1 | no | — |
| 461 | C22×C3 | — | 5 | 1 | no | — |
| 462 | C22×C3 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 463 | C3×C4 | — | 2 | 2 | no | — |
| 464 | C3×C4 | — | 5 | 1 | no | — |
| 465 | C3×C4 | — | 5 | 1 | no | — |
| 466 | C3×C4 | — | 10 | 2 | no | — |
| 467 | C3×C4 | — | 10 | 2 | no | — |
| 468 | C3×C4 | — | 10 | 2 | no | — |
| 469 | C3×C4 | — | 20 | 2 | no | — |
| 470 | C3×C4 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 471 | C3×C4 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 472 | Dic3 | — | 2 | 2 | no | — |
| 473 | Dic3 | — | 10 | 2 | no | — |
| 474 | Dic3 | — | 20 | 2 | no | — |
| 475 | C2×C5 | #5030 | 1 | 2 | yes | complemented |
| 476 | C2×C5 | C2×C4×#67 | 1 | 1 | yes | characteristic |
| 477 | D5 | #5030 | 1 | 2 | yes | complemented |
| 478 | D5 | C2×#942 | 1 | 1 | yes | characteristic |
| 479 | D5 | C2×#951 | 1 | 1 | yes | characteristic |
| 480 | C23 | — | 5 | 1 | no | — |
| 481 | Q8 | — | 2 | 1 | no | — |
| 482 | Q8 | — | 3 | 2 | no | — |
| 483 | Q8 | — | 5 | 2 | no | — |
| 484 | Q8 | — | 6 | 1 | no | — |
| 485 | Q8 | — | 10 | 2 | no | — |
| 486 | Q8 | — | 10 | 2 | no | — |
| 487 | Q8 | — | 10 | 1 | no | — |
| 488 | Q8 | — | 15 | 2 | no | — |
| 489 | Q8 | — | 30 | 2 | no | — |
| 490 | Q8 | — | 30 | 2 | no | — |
| 491 | Q8 | — | 30 | 1 | no | — |
| 492 | Q8 | C2×D3×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 493 | C2×C4 | — | 2 | 1 | no | — |
| 494 | C2×C4 | — | 5 | 1 | no | — |
| 495 | C2×C4 | — | 5 | 1 | no | — |
| 496 | C2×C4 | — | 5 | 1 | no | — |
| 497 | C2×C4 | — | 5 | 1 | no | — |
| 498 | C2×C4 | — | 5 | 1 | no | — |
| 499 | C2×C4 | — | 5 | 2 | no | — |
| 500 | C2×C4 | — | 5 | 2 | no | — |
| 501 | C2×C4 | — | 6 | 1 | no | — |
| 502 | C2×C4 | — | 10 | 2 | no | — |
| 503 | C2×C4 | — | 10 | 2 | no | — |
| 504 | C2×C4 | — | 10 | 2 | no | — |
| 505 | C2×C4 | — | 10 | 2 | no | — |
| 506 | C2×C4 | — | 10 | 1 | no | — |
| 507 | C2×C4 | — | 10 | 2 | no | — |
| 508 | C2×C4 | — | 20 | 2 | no | — |
| 509 | C2×C4 | — | 30 | 2 | no | — |
| 510 | C2×C4 | — | 30 | 2 | no | — |
| 511 | C2×C4 | — | 30 | 1 | no | — |
| 512 | C2×C4 | — | 30 | 2 | no | — |
| 513 | C2×C4 | — | 60 | 2 | no | — |
| 514 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 515 | C8 | — | 3 | 2 | no | — |
| 516 | C8 | — | 15 | 2 | no | — |
| 517 | C8 | — | 30 | 2 | no | — |
| 518 | C2×C3 | — | 5 | 1 | no | — |
| 519 | C2×C3 | — | 5 | 1 | no | — |
| 520 | C2×C3 | — | 5 | 2 | no | — |
| 521 | C2×C3 | #65739 | 1 | 2 | yes | complemented |
| 522 | C2×C3 | C2×D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 523 | C5 | C2×#5030 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 524 | C22 | — | 5 | 2 | no | — |
| 525 | C22 | — | 5 | 2 | no | — |
| 526 | C22 | — | 5 | 1 | no | — |
| 527 | C22 | — | 5 | 1 | no | — |
| 528 | C22 | AGL(1,𝔽5)×#67 | 1 | 1 | yes | characteristic |
| 529 | C4 | — | 2 | 2 | no | — |
| 530 | C4 | — | 5 | 1 | no | — |
| 531 | C4 | — | 5 | 1 | no | — |
| 532 | C4 | — | 6 | 2 | no | — |
| 533 | C4 | — | 10 | 2 | no | — |
| 534 | C4 | — | 10 | 2 | no | — |
| 535 | C4 | — | 10 | 2 | no | — |
| 536 | C4 | — | 20 | 2 | no | — |
| 537 | C4 | — | 30 | 2 | no | — |
| 538 | C4 | — | 60 | 2 | no | — |
| 539 | C4 | AGL(1,𝔽5)×#67 | 1 | 1 | yes | characteristic |
| 540 | C4 | C22×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 541 | C3 | C2×#65739 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 542 | C2 | — | 5 | 1 | no | — |
| 543 | C2 | — | 5 | 1 | no | — |
| 544 | C2 | — | 5 | 2 | no | — |
| 545 | C2 | #11751968 | 1 | 2 | yes | direct product factor |
| 546 | C2 | C2×AGL(1,𝔽5)×#67 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta