| 1 | C3×D5×#131 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×#65794 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C3×D5⋊#104 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C3×#65718 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×C3×#3992 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#64901 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#64900 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10604778 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 9 | C3×D5×#41 | C22 | 1 | 1 | yes | characteristic |
| 10 | C3×#4130 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×C3×C4×AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 12 | C3×D5⋊M16 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C3×D5⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 14 | C3×C5×#131 | C4 | 1 | 1 | yes | characteristic, complemented |
| 15 | C3×#4094 | C4 | 1 | 1 | yes | characteristic, complemented |
| 16 | C3×#4053 | — | 2 | 1 | no | — |
| 17 | C3×#4053 | C4 | 1 | 1 | yes | characteristic, complemented |
| 18 | C3×D5×M16 | — | 2 | 1 | no | — |
| 19 | C3×D5×M16 | C22 | 1 | 1 | yes | characteristic |
| 20 | C3×#4047 | — | 2 | 1 | no | — |
| 21 | C3×#4047 | C4 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×C3×C8×D5 | — | 2 | 1 | no | — |
| 23 | C2×C3×C8×D5 | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×#4010 | C4 | 1 | 2 | yes | complemented |
| 25 | C3×#4009 | C4 | 1 | 2 | yes | complemented |
| 26 | C3×#4008 | C4 | 1 | 2 | yes | complemented |
| 27 | C3×#4007 | C4 | 1 | 2 | yes | complemented |
| 28 | C3×#3992 | — | 2 | 1 | no | — |
| 29 | C3×#3992 | — | 2 | 1 | no | — |
| 30 | C3×#3992 | — | 2 | 1 | no | — |
| 31 | C3×C8×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 32 | C3×#1765 | — | 5 | 1 | no | maximal, Hall |
| 33 | D5×#131 | C2×C3 | 1 | 1 | yes | characteristic |
| 34 | #65794 | C2×C3 | 1 | 1 | yes | characteristic |
| 35 | D5⋊#104 | C2×C3 | 1 | 1 | yes | characteristic |
| 36 | #65718 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 37 | C2×#3992 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 38 | #64901 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 39 | #64900 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 40 | C22×C3×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 41 | C3×C5×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 42 | C3×#713 | C2×C4 | 1 | 1 | yes | characteristic |
| 43 | C3×Q8×D5 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | C3×#711 | — | 2 | 1 | no | — |
| 45 | C3×#711 | C2×C4 | 1 | 1 | yes | characteristic |
| 46 | C3×D4×D5 | — | 2 | 1 | no | — |
| 47 | C3×D4×D5 | C2×C4 | 1 | 1 | yes | characteristic |
| 48 | C3×#709 | — | 2 | 1 | no | — |
| 49 | C3×#709 | C2×C4 | 1 | 1 | yes | characteristic |
| 50 | C2×C3×C4×D5 | — | 2 | 1 | no | — |
| 51 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 52 | C3×C22⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 53 | C3×#704 | — | 2 | 1 | no | — |
| 54 | C2×C3×#170 | — | 2 | 1 | no | — |
| 55 | C3×C4⋊AGL(1,𝔽5) | C2×C4 | 1 | 2 | yes | — |
| 56 | C3×C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 57 | C3×C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 58 | C3×C4×AGL(1,𝔽5) | C2×C4 | 1 | 2 | yes | — |
| 59 | C3×#700 | C2×C4 | 1 | 2 | yes | — |
| 60 | C3×D5⋊C8 | — | 2 | 1 | no | — |
| 61 | C3×D5⋊C8 | — | 2 | 1 | no | — |
| 62 | C3×D5⋊C8 | C2×C4 | 1 | 2 | yes | — |
| 63 | C3×C5×M16 | — | 2 | 1 | no | — |
| 64 | C3×C5×M16 | C2×C4 | 1 | 1 | yes | characteristic |
| 65 | C2×C3×C5×C8 | — | 2 | 1 | no | — |
| 66 | C2×C3×C5×C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 67 | C3×#681 | — | 2 | 1 | no | — |
| 68 | C3×#681 | C2×C4 | 1 | 1 | yes | characteristic |
| 69 | C2×C3×#168 | — | 2 | 1 | no | — |
| 70 | C2×C3×#168 | C2×C4 | 1 | 1 | yes | characteristic |
| 71 | C3×#676 | — | 2 | 1 | no | — |
| 72 | C3×#676 | — | 2 | 1 | no | — |
| 73 | C3×#676 | — | 2 | 1 | no | — |
| 74 | C3×C8×D5 | — | 2 | 1 | no | — |
| 75 | C3×C8×D5 | — | 2 | 1 | no | — |
| 76 | C3×C8×D5 | — | 2 | 1 | no | — |
| 77 | C3×C8×D5 | D4 | 1 | 1 | yes | characteristic |
| 78 | C3×C8×D5 | D4 | 1 | 1 | yes | characteristic |
| 79 | C3×C8×D5 | D4 | 1 | 1 | yes | characteristic |
| 80 | C3×C8×D5 | D4 | 1 | 1 | yes | characteristic |
| 81 | C2×C3×#131 | — | 5 | 1 | no | — |
| 82 | C2×C3×#104 | — | 5 | 1 | no | — |
| 83 | C3×#416 | — | 5 | 1 | no | — |
| 84 | C3×#405 | — | 5 | 1 | no | — |
| 85 | C2×C3×#97 | — | 5 | 1 | no | — |
| 86 | C3×#341 | — | 5 | 1 | no | — |
| 87 | C3×#339 | — | 5 | 1 | no | — |
| 88 | D5×#41 | C22×C3 | 1 | 1 | yes | characteristic |
| 89 | #4130 | C22×C3 | 1 | 1 | yes | characteristic |
| 90 | C2×C4×AGL(1,𝔽5) | C22×C3 | 1 | 1 | yes | characteristic |
| 91 | D5⋊M16 | C22×C3 | 1 | 1 | yes | characteristic |
| 92 | C2×D5⋊C8 | C22×C3 | 1 | 1 | yes | characteristic |
| 93 | C5×#131 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 94 | #4094 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 95 | #4053 | — | 2 | 1 | no | — |
| 96 | #4053 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 97 | D5×M16 | — | 2 | 1 | no | — |
| 98 | D5×M16 | C22×C3 | 1 | 1 | yes | characteristic |
| 99 | #4047 | — | 2 | 1 | no | — |
| 100 | #4047 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 101 | C2×C8×D5 | — | 2 | 1 | no | — |
| 102 | C2×C8×D5 | C22×C3 | 1 | 1 | yes | characteristic |
| 103 | #4010 | C3×C4 | 1 | 2 | yes | complemented |
| 104 | #4009 | C3×C4 | 1 | 2 | yes | complemented |
| 105 | #4008 | C3×C4 | 1 | 2 | yes | complemented |
| 106 | #4007 | C3×C4 | 1 | 2 | yes | complemented |
| 107 | #3992 | — | 2 | 1 | no | — |
| 108 | #3992 | — | 2 | 1 | no | — |
| 109 | #3992 | — | 2 | 1 | no | — |
| 110 | C8×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 111 | #1765 | — | 5 | 1 | no | Sylow |
| 112 | C22×C3×D5 | — | 2 | 1 | no | — |
| 113 | C22×C3×D5 | #41 | 1 | 1 | yes | characteristic |
| 114 | C2×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 115 | C2×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 116 | C2×C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 117 | C3×C5×Q8 | C42 | 1 | 1 | yes | characteristic |
| 118 | C3×C5×D4 | — | 2 | 1 | no | — |
| 119 | C3×C5×D4 | C42 | 1 | 1 | yes | characteristic |
| 120 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 121 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 122 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 123 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 124 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 125 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 126 | C2×C3×Dic5 | #41 | 1 | 1 | yes | characteristic |
| 127 | C3×D20 | — | 2 | 1 | no | — |
| 128 | C3×D20 | C42 | 1 | 1 | yes | characteristic |
| 129 | C3×C4×D5 | — | 2 | 1 | no | — |
| 130 | C3×C4×D5 | — | 2 | 1 | no | — |
| 131 | C3×C4×D5 | — | 2 | 1 | no | — |
| 132 | C3×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 133 | C3×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 134 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 135 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 136 | C3×Dic10 | — | 2 | 1 | no | — |
| 137 | C3×Dic10 | C42 | 1 | 1 | yes | characteristic |
| 138 | C3×#170 | — | 2 | 2 | no | — |
| 139 | C3×#170 | — | 2 | 2 | no | — |
| 140 | C3×C5×C8 | — | 2 | 1 | no | — |
| 141 | C3×C5×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 142 | C3×C5×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 143 | C3×#168 | — | 2 | 1 | no | — |
| 144 | C3×#168 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 145 | C3×#168 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 146 | C2×C3×#41 | — | 5 | 1 | no | — |
| 147 | C3×#131 | — | 5 | 1 | no | — |
| 148 | C3×#131 | — | 5 | 1 | no | — |
| 149 | C3×#131 | — | 5 | 1 | no | — |
| 150 | C3×#131 | — | 10 | 1 | no | — |
| 151 | C3×#131 | — | 10 | 1 | no | — |
| 152 | C3×#131 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 153 | C2×C3×M16 | — | 5 | 1 | no | — |
| 154 | C2×C3×M16 | — | 5 | 1 | no | — |
| 155 | C2×C3×M16 | — | 10 | 1 | no | — |
| 156 | C22×C3×C8 | — | 5 | 1 | no | — |
| 157 | C22×C3×C8 | — | 5 | 1 | no | — |
| 158 | C22×C3×C8 | — | 10 | 1 | no | — |
| 159 | C3×#117 | — | 5 | 1 | no | — |
| 160 | C2×C3×C42 | — | 5 | 1 | no | — |
| 161 | C3×#104 | — | 5 | 2 | no | — |
| 162 | C3×#104 | — | 5 | 2 | no | — |
| 163 | C3×#103 | — | 5 | 2 | no | — |
| 164 | C3×#102 | — | 5 | 2 | no | — |
| 165 | C3×#97 | — | 10 | 1 | no | — |
| 166 | C3×#97 | — | 10 | 1 | no | — |
| 167 | C3×#97 | — | 10 | 1 | no | — |
| 168 | C3×C4×C8 | — | 10 | 1 | no | — |
| 169 | C22×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 170 | C5×#41 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 171 | #713 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 172 | Q8×D5 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 173 | #711 | — | 2 | 1 | no | — |
| 174 | #711 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 175 | D4×D5 | — | 2 | 1 | no | — |
| 176 | D4×D5 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 177 | #709 | — | 2 | 1 | no | — |
| 178 | #709 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 179 | C2×C4×D5 | — | 2 | 1 | no | — |
| 180 | C2×C4×D5 | C23×C3 | 1 | 1 | yes | characteristic |
| 181 | C22⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 182 | #704 | — | 2 | 1 | no | — |
| 183 | C2×#170 | — | 2 | 1 | no | — |
| 184 | C4⋊AGL(1,𝔽5) | C2×C3×C4 | 1 | 2 | yes | — |
| 185 | C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 186 | C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 187 | C4×AGL(1,𝔽5) | C2×C3×C4 | 1 | 2 | yes | — |
| 188 | #700 | C2×C3×C4 | 1 | 2 | yes | — |
| 189 | D5⋊C8 | — | 2 | 1 | no | — |
| 190 | D5⋊C8 | — | 2 | 1 | no | — |
| 191 | D5⋊C8 | C2×C3×C4 | 1 | 2 | yes | — |
| 192 | C5×M16 | — | 2 | 1 | no | — |
| 193 | C5×M16 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 194 | C2×C5×C8 | — | 2 | 1 | no | — |
| 195 | C2×C5×C8 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 196 | #681 | — | 2 | 1 | no | — |
| 197 | #681 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 198 | C2×#168 | — | 2 | 1 | no | — |
| 199 | C2×#168 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 200 | #676 | — | 2 | 1 | no | — |
| 201 | #676 | — | 2 | 1 | no | — |
| 202 | #676 | — | 2 | 1 | no | — |
| 203 | C8×D5 | — | 2 | 1 | no | — |
| 204 | C8×D5 | — | 2 | 1 | no | — |
| 205 | C8×D5 | — | 2 | 1 | no | — |
| 206 | C8×D5 | C3×D4 | 1 | 1 | yes | characteristic |
| 207 | C8×D5 | C3×D4 | 1 | 1 | yes | characteristic |
| 208 | C8×D5 | C3×D4 | 1 | 1 | yes | characteristic |
| 209 | C8×D5 | C3×D4 | 1 | 1 | yes | characteristic |
| 210 | C2×#131 | — | 5 | 1 | no | — |
| 211 | C2×#104 | — | 5 | 1 | no | — |
| 212 | #416 | — | 5 | 1 | no | — |
| 213 | #405 | — | 5 | 1 | no | — |
| 214 | C2×#97 | — | 5 | 1 | no | — |
| 215 | #341 | — | 5 | 1 | no | — |
| 216 | #339 | — | 5 | 1 | no | — |
| 217 | C22×C3×C5 | — | 2 | 1 | no | — |
| 218 | C22×C3×C5 | #117 | 1 | 1 | yes | characteristic |
| 219 | C2×C3×D5 | — | 2 | 2 | no | — |
| 220 | C2×C3×D5 | — | 2 | 1 | no | — |
| 221 | C2×C3×D5 | — | 4 | 2 | no | — |
| 222 | C2×C3×D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 223 | C2×C3×D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 224 | C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 225 | C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 226 | C3×C4×C5 | — | 2 | 1 | no | — |
| 227 | C3×C4×C5 | C2×C42 | 1 | 1 | yes | characteristic |
| 228 | C3×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 229 | C3×Dic5 | — | 2 | 1 | no | — |
| 230 | C3×Dic5 | C4×D4 | 1 | 1 | yes | characteristic |
| 231 | C3×Dic5 | C4×D4 | 1 | 1 | yes | characteristic |
| 232 | C3×#41 | — | 5 | 1 | no | — |
| 233 | C3×#41 | — | 5 | 1 | no | — |
| 234 | C3×#41 | — | 5 | 1 | no | — |
| 235 | C3×#41 | — | 10 | 1 | no | — |
| 236 | C3×#41 | — | 10 | 1 | no | — |
| 237 | C3×#41 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 238 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 239 | C2×C3×D4 | — | 5 | 1 | no | — |
| 240 | C2×C3×D4 | — | 10 | 1 | no | — |
| 241 | C22×C3×C4 | — | 5 | 1 | no | — |
| 242 | C22×C3×C4 | — | 10 | 1 | no | — |
| 243 | C22×C3×C4 | — | 10 | 1 | no | — |
| 244 | C3×M16 | — | 2 | 1 | no | — |
| 245 | C3×M16 | — | 5 | 2 | no | — |
| 246 | C3×M16 | — | 5 | 1 | no | — |
| 247 | C3×M16 | — | 10 | 1 | no | — |
| 248 | C3×M16 | — | 10 | 1 | no | — |
| 249 | C3×M16 | — | 10 | 1 | no | — |
| 250 | C3×M16 | — | 10 | 1 | no | — |
| 251 | C3×M16 | — | 10 | 1 | no | — |
| 252 | C3×M16 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 253 | C2×C3×C8 | — | 2 | 1 | no | — |
| 254 | C2×C3×C8 | — | 5 | 1 | no | — |
| 255 | C2×C3×C8 | — | 5 | 1 | no | — |
| 256 | C2×C3×C8 | — | 5 | 1 | no | — |
| 257 | C2×C3×C8 | — | 5 | 1 | no | — |
| 258 | C2×C3×C8 | — | 5 | 1 | no | — |
| 259 | C2×C3×C8 | — | 5 | 2 | no | — |
| 260 | C2×C3×C8 | — | 10 | 1 | no | — |
| 261 | C2×C3×C8 | — | 10 | 1 | no | — |
| 262 | C2×C3×C8 | — | 10 | 1 | no | — |
| 263 | C2×C3×C8 | — | 10 | 1 | no | — |
| 264 | C2×C3×C8 | — | 10 | 1 | no | — |
| 265 | C2×C3×C8 | — | 10 | 1 | no | — |
| 266 | C2×C3×C8 | — | 10 | 1 | no | — |
| 267 | C2×C3×C8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 268 | C3×C4⋊C4 | — | 5 | 2 | no | — |
| 269 | C3×C22⋊C4 | — | 10 | 1 | no | — |
| 270 | C3×C42 | — | 5 | 2 | no | — |
| 271 | C3×C42 | — | 10 | 1 | no | — |
| 272 | C3×C42 | — | 10 | 1 | no | — |
| 273 | C22×D5 | — | 2 | 1 | no | — |
| 274 | C22×D5 | C3×#41 | 1 | 1 | yes | characteristic |
| 275 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 276 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 277 | C2×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 278 | C5×Q8 | C3×C42 | 1 | 1 | yes | characteristic |
| 279 | C5×D4 | — | 2 | 1 | no | — |
| 280 | C5×D4 | C3×C42 | 1 | 1 | yes | characteristic |
| 281 | C2×C4×C5 | — | 2 | 1 | no | — |
| 282 | C2×C4×C5 | C22×C3×C4 | 1 | 1 | yes | characteristic |
| 283 | C22⋊D5 | — | 2 | 1 | no | — |
| 284 | C22⋊D5 | — | 2 | 1 | no | — |
| 285 | C22⋊D5 | — | 2 | 1 | no | — |
| 286 | C2×Dic5 | — | 2 | 1 | no | — |
| 287 | C2×Dic5 | C3×#41 | 1 | 1 | yes | characteristic |
| 288 | D20 | — | 2 | 1 | no | — |
| 289 | D20 | C3×C42 | 1 | 1 | yes | characteristic |
| 290 | C4×D5 | — | 2 | 1 | no | — |
| 291 | C4×D5 | — | 2 | 1 | no | — |
| 292 | C4×D5 | — | 2 | 1 | no | — |
| 293 | C4×D5 | C22×C3×C4 | 1 | 1 | yes | characteristic |
| 294 | C4×D5 | C22×C3×C4 | 1 | 1 | yes | characteristic |
| 295 | C4×D5 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 296 | C4×D5 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 297 | Dic10 | — | 2 | 1 | no | — |
| 298 | Dic10 | C3×C42 | 1 | 1 | yes | characteristic |
| 299 | #170 | — | 2 | 2 | no | — |
| 300 | #170 | — | 2 | 2 | no | — |
| 301 | C5×C8 | — | 2 | 1 | no | — |
| 302 | C5×C8 | C3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 303 | C5×C8 | C3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 304 | #168 | — | 2 | 1 | no | — |
| 305 | #168 | C3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 306 | #168 | C3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 307 | C2×#41 | — | 5 | 1 | no | — |
| 308 | #131 | — | 5 | 1 | no | — |
| 309 | #131 | — | 5 | 1 | no | — |
| 310 | #131 | — | 5 | 1 | no | — |
| 311 | #131 | — | 10 | 1 | no | — |
| 312 | #131 | — | 10 | 1 | no | — |
| 313 | #131 | C3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 314 | C2×M16 | — | 5 | 1 | no | — |
| 315 | C2×M16 | — | 5 | 1 | no | — |
| 316 | C2×M16 | — | 10 | 1 | no | — |
| 317 | C22×C8 | — | 5 | 1 | no | — |
| 318 | C22×C8 | — | 5 | 1 | no | — |
| 319 | C22×C8 | — | 10 | 1 | no | — |
| 320 | #117 | — | 5 | 1 | no | — |
| 321 | C2×C42 | — | 5 | 1 | no | — |
| 322 | #104 | — | 5 | 2 | no | — |
| 323 | #104 | — | 5 | 2 | no | — |
| 324 | #103 | — | 5 | 2 | no | — |
| 325 | #102 | — | 5 | 2 | no | — |
| 326 | #97 | — | 10 | 1 | no | — |
| 327 | #97 | — | 10 | 1 | no | — |
| 328 | #97 | — | 10 | 1 | no | — |
| 329 | C4×C8 | — | 10 | 1 | no | — |
| 330 | C2×C3×C5 | — | 2 | 1 | no | — |
| 331 | C2×C3×C5 | — | 4 | 1 | no | — |
| 332 | C2×C3×C5 | C4×C22⋊C4 | 1 | 1 | yes | characteristic |
| 333 | C3×D5 | — | 2 | 1 | no | — |
| 334 | C3×D5 | — | 4 | 1 | no | — |
| 335 | C3×D5 | #444 | 1 | 2 | yes | — |
| 336 | C23×C3 | — | 5 | 1 | no | — |
| 337 | C23×C3 | — | 10 | 1 | no | — |
| 338 | C3×Q8 | — | 5 | 1 | no | — |
| 339 | C3×Q8 | — | 10 | 1 | no | — |
| 340 | C3×Q8 | C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 341 | C3×D4 | — | 2 | 1 | no | — |
| 342 | C3×D4 | — | 5 | 1 | no | — |
| 343 | C3×D4 | — | 10 | 1 | no | — |
| 344 | C3×D4 | — | 10 | 1 | no | — |
| 345 | C3×D4 | — | 10 | 1 | no | — |
| 346 | C3×D4 | — | 10 | 1 | no | — |
| 347 | C3×D4 | C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 348 | C2×C3×C4 | — | 2 | 1 | no | — |
| 349 | C2×C3×C4 | — | 5 | 1 | no | — |
| 350 | C2×C3×C4 | — | 5 | 1 | no | — |
| 351 | C2×C3×C4 | — | 5 | 1 | no | — |
| 352 | C2×C3×C4 | — | 5 | 1 | no | — |
| 353 | C2×C3×C4 | — | 5 | 1 | no | — |
| 354 | C2×C3×C4 | — | 10 | 1 | no | — |
| 355 | C2×C3×C4 | — | 10 | 1 | no | — |
| 356 | C2×C3×C4 | — | 10 | 1 | no | — |
| 357 | C2×C3×C4 | — | 10 | 1 | no | — |
| 358 | C2×C3×C4 | — | 10 | 2 | no | — |
| 359 | C2×C3×C4 | — | 10 | 2 | no | — |
| 360 | C2×C3×C4 | — | 20 | 2 | no | — |
| 361 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 362 | C3×C8 | — | 2 | 1 | no | — |
| 363 | C3×C8 | — | 5 | 1 | no | — |
| 364 | C3×C8 | — | 5 | 1 | no | — |
| 365 | C3×C8 | — | 10 | 2 | no | — |
| 366 | C3×C8 | — | 10 | 2 | no | — |
| 367 | C3×C8 | — | 10 | 1 | no | — |
| 368 | C3×C8 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 369 | C3×C8 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 370 | C22×C5 | — | 2 | 1 | no | — |
| 371 | C22×C5 | C3×#117 | 1 | 1 | yes | characteristic |
| 372 | C2×D5 | — | 2 | 2 | no | — |
| 373 | C2×D5 | — | 2 | 1 | no | — |
| 374 | C2×D5 | — | 4 | 2 | no | — |
| 375 | C2×D5 | C3×C4×D4 | 1 | 1 | yes | characteristic |
| 376 | C2×D5 | C3×C4×D4 | 1 | 1 | yes | characteristic |
| 377 | AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 378 | AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 379 | C4×C5 | — | 2 | 1 | no | — |
| 380 | C4×C5 | C2×C3×C42 | 1 | 1 | yes | characteristic |
| 381 | C4×C5 | C2×C3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 382 | Dic5 | — | 2 | 1 | no | — |
| 383 | Dic5 | C3×C4×D4 | 1 | 1 | yes | characteristic |
| 384 | Dic5 | C3×C4×D4 | 1 | 1 | yes | characteristic |
| 385 | #41 | — | 5 | 1 | no | — |
| 386 | #41 | — | 5 | 1 | no | — |
| 387 | #41 | — | 5 | 1 | no | — |
| 388 | #41 | — | 10 | 1 | no | — |
| 389 | #41 | — | 10 | 1 | no | — |
| 390 | #41 | C2×C3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 391 | C2×Q8 | — | 5 | 1 | no | — |
| 392 | C2×D4 | — | 5 | 1 | no | — |
| 393 | C2×D4 | — | 10 | 1 | no | — |
| 394 | C22×C4 | — | 5 | 1 | no | — |
| 395 | C22×C4 | — | 10 | 1 | no | — |
| 396 | C22×C4 | — | 10 | 1 | no | — |
| 397 | M16 | — | 2 | 1 | no | — |
| 398 | M16 | — | 5 | 2 | no | — |
| 399 | M16 | — | 5 | 1 | no | — |
| 400 | M16 | — | 10 | 1 | no | — |
| 401 | M16 | — | 10 | 1 | no | — |
| 402 | M16 | — | 10 | 1 | no | — |
| 403 | M16 | — | 10 | 1 | no | — |
| 404 | M16 | — | 10 | 1 | no | — |
| 405 | M16 | C2×C3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 406 | C2×C8 | — | 2 | 1 | no | — |
| 407 | C2×C8 | — | 5 | 1 | no | — |
| 408 | C2×C8 | — | 5 | 1 | no | — |
| 409 | C2×C8 | — | 5 | 1 | no | — |
| 410 | C2×C8 | — | 5 | 1 | no | — |
| 411 | C2×C8 | — | 5 | 1 | no | — |
| 412 | C2×C8 | — | 5 | 2 | no | — |
| 413 | C2×C8 | — | 10 | 1 | no | — |
| 414 | C2×C8 | — | 10 | 1 | no | — |
| 415 | C2×C8 | — | 10 | 1 | no | — |
| 416 | C2×C8 | — | 10 | 1 | no | — |
| 417 | C2×C8 | — | 10 | 1 | no | — |
| 418 | C2×C8 | — | 10 | 1 | no | — |
| 419 | C2×C8 | — | 10 | 1 | no | — |
| 420 | C2×C8 | C2×C3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 421 | C4⋊C4 | — | 5 | 2 | no | — |
| 422 | C22⋊C4 | — | 10 | 1 | no | — |
| 423 | C42 | — | 5 | 2 | no | — |
| 424 | C42 | — | 10 | 1 | no | — |
| 425 | C42 | — | 10 | 1 | no | — |
| 426 | C3×C5 | #1765 | 1 | 1 | yes | characteristic, complemented, Hall |
| 427 | C22×C3 | — | 2 | 1 | no | — |
| 428 | C22×C3 | — | 5 | 1 | no | — |
| 429 | C22×C3 | — | 5 | 1 | no | — |
| 430 | C22×C3 | — | 10 | 2 | no | — |
| 431 | C22×C3 | — | 10 | 1 | no | — |
| 432 | C22×C3 | — | 20 | 2 | no | — |
| 433 | C22×C3 | #4130 | 1 | 1 | yes | characteristic |
| 434 | C3×C4 | — | 2 | 1 | no | — |
| 435 | C3×C4 | — | 5 | 1 | no | — |
| 436 | C3×C4 | — | 5 | 1 | no | — |
| 437 | C3×C4 | — | 10 | 1 | no | — |
| 438 | C3×C4 | — | 20 | 2 | no | — |
| 439 | C3×C4 | — | 20 | 2 | no | — |
| 440 | C3×C4 | C2×C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 441 | C3×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 442 | C2×C5 | — | 2 | 1 | no | — |
| 443 | C2×C5 | — | 4 | 1 | no | — |
| 444 | C2×C5 | C3×C4×C22⋊C4 | 1 | 1 | yes | characteristic |
| 445 | D5 | — | 2 | 1 | no | — |
| 446 | D5 | — | 4 | 1 | no | — |
| 447 | D5 | C3×#444 | 1 | 2 | yes | — |
| 448 | C23 | — | 5 | 1 | no | — |
| 449 | C23 | — | 10 | 1 | no | — |
| 450 | Q8 | — | 5 | 1 | no | — |
| 451 | Q8 | — | 10 | 1 | no | — |
| 452 | Q8 | C3×C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 453 | D4 | — | 2 | 1 | no | — |
| 454 | D4 | — | 5 | 1 | no | — |
| 455 | D4 | — | 10 | 1 | no | — |
| 456 | D4 | — | 10 | 1 | no | — |
| 457 | D4 | — | 10 | 1 | no | — |
| 458 | D4 | — | 10 | 1 | no | — |
| 459 | D4 | C3×C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 460 | C2×C4 | — | 2 | 1 | no | — |
| 461 | C2×C4 | — | 5 | 1 | no | — |
| 462 | C2×C4 | — | 5 | 1 | no | — |
| 463 | C2×C4 | — | 5 | 1 | no | — |
| 464 | C2×C4 | — | 5 | 1 | no | — |
| 465 | C2×C4 | — | 5 | 1 | no | — |
| 466 | C2×C4 | — | 10 | 1 | no | — |
| 467 | C2×C4 | — | 10 | 1 | no | — |
| 468 | C2×C4 | — | 10 | 1 | no | — |
| 469 | C2×C4 | — | 10 | 1 | no | — |
| 470 | C2×C4 | — | 10 | 2 | no | — |
| 471 | C2×C4 | — | 10 | 2 | no | — |
| 472 | C2×C4 | — | 20 | 2 | no | — |
| 473 | C2×C4 | C22×C3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 474 | C8 | — | 2 | 1 | no | — |
| 475 | C8 | — | 5 | 1 | no | — |
| 476 | C8 | — | 5 | 1 | no | — |
| 477 | C8 | — | 10 | 2 | no | — |
| 478 | C8 | — | 10 | 2 | no | — |
| 479 | C8 | — | 10 | 1 | no | — |
| 480 | C8 | C3×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 481 | C8 | C3×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 482 | C2×C3 | — | 2 | 1 | no | — |
| 483 | C2×C3 | — | 4 | 1 | no | — |
| 484 | C2×C3 | — | 5 | 2 | no | — |
| 485 | C2×C3 | — | 10 | 1 | no | — |
| 486 | C2×C3 | — | 20 | 1 | no | — |
| 487 | C2×C3 | C4×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 488 | C5 | C3×#1765 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 489 | C22 | — | 2 | 1 | no | — |
| 490 | C22 | — | 5 | 1 | no | — |
| 491 | C22 | — | 5 | 1 | no | — |
| 492 | C22 | — | 10 | 2 | no | — |
| 493 | C22 | — | 10 | 1 | no | — |
| 494 | C22 | — | 20 | 2 | no | — |
| 495 | C22 | C3×#4130 | 1 | 1 | yes | characteristic |
| 496 | C4 | — | 2 | 1 | no | — |
| 497 | C4 | — | 5 | 1 | no | — |
| 498 | C4 | — | 5 | 1 | no | — |
| 499 | C4 | — | 10 | 1 | no | — |
| 500 | C4 | — | 20 | 2 | no | — |
| 501 | C4 | — | 20 | 2 | no | — |
| 502 | C4 | C2×C3×C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 503 | C4 | C2×C3×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 504 | C3 | #10604778 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 505 | C2 | — | 2 | 1 | no | — |
| 506 | C2 | — | 4 | 1 | no | — |
| 507 | C2 | — | 5 | 2 | no | — |
| 508 | C2 | — | 10 | 1 | no | — |
| 509 | C2 | — | 20 | 1 | no | — |
| 510 | C2 | C3×C4×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta