| 1 | AGL(1,𝔽5)×2−1+4 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | D5×#578 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10617561 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10617451 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | AGL(1,𝔽5)×#137 | C2 | 1 | 6 | yes | maximal, complemented |
| 6 | #10617440 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | AGL(1,𝔽5)×#135 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #10617434 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | C2×Q16×AGL(1,𝔽5) | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #10617417 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | AGL(1,𝔽5)×#131 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | D5×2−1+4 | C22 | 1 | 2 | yes | — |
| 13 | #66266 | — | 2 | 6 | no | — |
| 14 | #66266 | C22 | 1 | 6 | yes | — |
| 15 | #66266 | C22 | 1 | 2 | yes | — |
| 16 | #41×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 17 | #41×AGL(1,𝔽5) | C22 | 1 | 6 | yes | — |
| 18 | #41×AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 19 | D5⋊#131 | C22 | 1 | 1 | yes | characteristic |
| 20 | #66262 | — | 2 | 2 | no | — |
| 21 | #66262 | C22 | 1 | 6 | yes | — |
| 22 | C2×Q8×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 23 | C2×Q8×AGL(1,𝔽5) | C22 | 1 | 6 | yes | — |
| 24 | C5×#578 | C4 | 1 | 1 | yes | characteristic, complemented |
| 25 | #66172 | C4 | 1 | 2 | yes | complemented |
| 26 | #66113 | C4 | 1 | 6 | yes | complemented |
| 27 | D5×#137 | C22 | 1 | 6 | yes | — |
| 28 | #66105 | C4 | 1 | 3 | yes | complemented |
| 29 | D5×#135 | C22 | 1 | 3 | yes | — |
| 30 | #66100 | C4 | 1 | 3 | yes | complemented |
| 31 | C2×D5×Q16 | C22 | 1 | 3 | yes | — |
| 32 | #66087 | C4 | 1 | 1 | yes | characteristic, complemented |
| 33 | D5×#131 | C22 | 1 | 1 | yes | characteristic |
| 34 | #65794 | C22 | 1 | 6 | yes | — |
| 35 | #65793 | C22 | 1 | 6 | yes | — |
| 36 | #65782 | C22 | 1 | 6 | yes | — |
| 37 | C2×#4009 | C22 | 1 | 6 | yes | — |
| 38 | #65739 | C22 | 1 | 12 | yes | — |
| 39 | Q16×AGL(1,𝔽5) | C22 | 1 | 3 | yes | — |
| 40 | Q16×AGL(1,𝔽5) | C22 | 1 | 6 | yes | — |
| 41 | Q16×AGL(1,𝔽5) | C22 | 1 | 6 | yes | — |
| 42 | Q16×AGL(1,𝔽5) | C22 | 1 | 6 | yes | — |
| 43 | Q16×AGL(1,𝔽5) | C22 | 1 | 3 | yes | — |
| 44 | #65735 | C22 | 1 | 12 | yes | — |
| 45 | SD16×AGL(1,𝔽5) | C22 | 1 | 6 | yes | — |
| 46 | SD16×AGL(1,𝔽5) | C22 | 1 | 6 | yes | — |
| 47 | D8×AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 48 | D8×AGL(1,𝔽5) | C22 | 1 | 3 | yes | — |
| 49 | #65728 | C22 | 1 | 3 | yes | — |
| 50 | #65727 | C22 | 1 | 6 | yes | — |
| 51 | M16×AGL(1,𝔽5) | C22 | 1 | 3 | yes | — |
| 52 | #65721 | C22 | 1 | 3 | yes | — |
| 53 | C2×#3994 | C22 | 1 | 3 | yes | — |
| 54 | #65718 | C22 | 1 | 3 | yes | — |
| 55 | C2×C8×AGL(1,𝔽5) | C22 | 1 | 3 | yes | — |
| 56 | C4×#578 | — | 5 | 1 | no | maximal, Sylow |
| 57 | C5×2−1+4 | C2×C4 | 1 | 2 | yes | complemented |
| 58 | #4150 | — | 2 | 6 | no | — |
| 59 | #4150 | C2×C4 | 1 | 6 | yes | complemented |
| 60 | #4150 | C2×C4 | 1 | 2 | yes | complemented |
| 61 | D5×#41 | — | 2 | 6 | no | — |
| 62 | D5×#41 | C23 | 1 | 6 | yes | — |
| 63 | D5×#41 | C23 | 1 | 1 | yes | characteristic |
| 64 | #4147 | — | 2 | 2 | no | — |
| 65 | #4147 | C2×C4 | 1 | 6 | yes | complemented |
| 66 | C2×Q8×D5 | — | 2 | 2 | no | — |
| 67 | C2×Q8×D5 | C23 | 1 | 6 | yes | — |
| 68 | Q8×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 69 | Q8×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 70 | Q8×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 71 | Q8×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 72 | Q8×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 73 | Q8×AGL(1,𝔽5) | D4 | 1 | 1 | yes | characteristic |
| 74 | Q8×AGL(1,𝔽5) | D4 | 1 | 1 | yes | characteristic |
| 75 | Q8×AGL(1,𝔽5) | C23 | 1 | 6 | yes | — |
| 76 | Q8×AGL(1,𝔽5) | C23 | 1 | 6 | yes | — |
| 77 | Q8×AGL(1,𝔽5) | C23 | 1 | 12 | yes | — |
| 78 | #4133 | — | 2 | 1 | no | — |
| 79 | D4×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 80 | D4×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 81 | D4×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 82 | D4×AGL(1,𝔽5) | — | 2 | 12 | no | — |
| 83 | D4×AGL(1,𝔽5) | D4 | 1 | 3 | yes | — |
| 84 | D4×AGL(1,𝔽5) | D4 | 1 | 3 | yes | — |
| 85 | D4×AGL(1,𝔽5) | C23 | 1 | 2 | yes | — |
| 86 | D4×AGL(1,𝔽5) | C23 | 1 | 6 | yes | — |
| 87 | #4131 | — | 2 | 3 | no | — |
| 88 | #4130 | — | 2 | 12 | no | — |
| 89 | #4130 | — | 2 | 6 | no | — |
| 90 | #4130 | — | 2 | 6 | no | — |
| 91 | #4130 | C23 | 1 | 6 | yes | — |
| 92 | #4130 | C23 | 1 | 3 | yes | — |
| 93 | C2×C4⋊AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 94 | C2×C4⋊AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 95 | C2×C4⋊AGL(1,𝔽5) | C23 | 1 | 6 | yes | — |
| 96 | C2×C4×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 97 | C2×C4×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 98 | C2×C4×AGL(1,𝔽5) | C23 | 1 | 3 | yes | — |
| 99 | D5⋊M16 | C23 | 1 | 3 | yes | — |
| 100 | C2×D5⋊C8 | C23 | 1 | 3 | yes | — |
| 101 | C5×#137 | C2×C4 | 1 | 6 | yes | complemented |
| 102 | C5×#135 | C2×C4 | 1 | 3 | yes | complemented |
| 103 | C2×C5×Q16 | C2×C4 | 1 | 3 | yes | complemented |
| 104 | C5×#131 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 105 | #4097 | C2×C4 | 1 | 6 | yes | complemented |
| 106 | #4096 | C2×C4 | 1 | 6 | yes | complemented |
| 107 | #4094 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 108 | C2×#689 | C2×C4 | 1 | 6 | yes | complemented |
| 109 | #4088 | C2×C4 | 1 | 6 | yes | complemented |
| 110 | #4065 | C2×C4 | 1 | 3 | yes | complemented |
| 111 | #4064 | C2×C4 | 1 | 12 | yes | complemented |
| 112 | D5×Q16 | C2×C4 | 1 | 6 | yes | complemented |
| 113 | D5×Q16 | C2×C4 | 1 | 6 | yes | complemented |
| 114 | D5×Q16 | C23 | 1 | 3 | yes | — |
| 115 | D5×Q16 | C23 | 1 | 6 | yes | — |
| 116 | #4062 | C2×C4 | 1 | 6 | yes | complemented |
| 117 | #4061 | C2×C4 | 1 | 12 | yes | complemented |
| 118 | D5×SD16 | C23 | 1 | 6 | yes | — |
| 119 | #4058 | C2×C4 | 1 | 3 | yes | complemented |
| 120 | D5×D8 | C23 | 1 | 1 | yes | characteristic |
| 121 | #4055 | C2×C4 | 1 | 6 | yes | complemented |
| 122 | #4053 | C2×C4 | 1 | 3 | yes | complemented |
| 123 | D5×M16 | C23 | 1 | 3 | yes | — |
| 124 | C2×Dic20 | C2×C4 | 1 | 3 | yes | complemented |
| 125 | #4050 | C2×C4 | 1 | 3 | yes | complemented |
| 126 | #4047 | C2×C4 | 1 | 3 | yes | complemented |
| 127 | C2×C8×D5 | C23 | 1 | 3 | yes | — |
| 128 | #4009 | C23 | 1 | 12 | yes | — |
| 129 | #4009 | C23 | 1 | 6 | yes | — |
| 130 | #4009 | C23 | 1 | 6 | yes | — |
| 131 | #4007 | C23 | 1 | 6 | yes | — |
| 132 | #4007 | C23 | 1 | 2 | yes | — |
| 133 | #3994 | C23 | 1 | 3 | yes | — |
| 134 | #3994 | C23 | 1 | 6 | yes | — |
| 135 | #3994 | C23 | 1 | 1 | yes | characteristic |
| 136 | #3993 | C23 | 1 | 6 | yes | — |
| 137 | #3992 | C23 | 1 | 6 | yes | — |
| 138 | C8×AGL(1,𝔽5) | C23 | 1 | 1 | yes | characteristic |
| 139 | C8×AGL(1,𝔽5) | C23 | 1 | 3 | yes | — |
| 140 | C8×AGL(1,𝔽5) | C23 | 1 | 3 | yes | — |
| 141 | C8×AGL(1,𝔽5) | C23 | 1 | 3 | yes | — |
| 142 | C2×#578 | — | 5 | 1 | no | — |
| 143 | C4×2−1+4 | — | 5 | 2 | no | — |
| 144 | #2951 | — | 5 | 3 | no | — |
| 145 | #2950 | — | 5 | 3 | no | — |
| 146 | #2947 | — | 5 | 6 | no | — |
| 147 | C4×#137 | — | 5 | 6 | no | — |
| 148 | C4×#135 | — | 5 | 3 | no | — |
| 149 | C2×C4×Q16 | — | 5 | 3 | no | — |
| 150 | #2913 | — | 5 | 1 | no | — |
| 151 | #2898 | — | 5 | 2 | no | — |
| 152 | C4×#131 | — | 5 | 1 | no | — |
| 153 | C22×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 154 | C22×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 155 | C22×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 156 | C22×AGL(1,𝔽5) | C2×D4 | 1 | 3 | yes | — |
| 157 | C22×AGL(1,𝔽5) | C2×D4 | 1 | 3 | yes | — |
| 158 | C5×#41 | — | 2 | 6 | no | — |
| 159 | C5×#41 | C22×C4 | 1 | 6 | yes | — |
| 160 | C5×#41 | C22×C4 | 1 | 1 | yes | characteristic |
| 161 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 162 | C2×C5×Q8 | C22×C4 | 1 | 6 | yes | — |
| 163 | #713 | — | 2 | 6 | no | — |
| 164 | #713 | C22×C4 | 1 | 6 | yes | — |
| 165 | #713 | #41 | 1 | 1 | yes | characteristic |
| 166 | Q8×D5 | — | 2 | 2 | no | — |
| 167 | Q8×D5 | — | 2 | 6 | no | — |
| 168 | Q8×D5 | — | 2 | 6 | no | — |
| 169 | Q8×D5 | — | 2 | 6 | no | — |
| 170 | Q8×D5 | C22×C4 | 1 | 12 | yes | — |
| 171 | Q8×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 172 | Q8×D5 | C24 | 1 | 6 | yes | — |
| 173 | #711 | — | 2 | 6 | no | — |
| 174 | #711 | — | 2 | 12 | no | — |
| 175 | #711 | — | 2 | 6 | no | — |
| 176 | #711 | C22×C4 | 1 | 6 | yes | — |
| 177 | #711 | #41 | 1 | 3 | yes | — |
| 178 | D4×D5 | — | 2 | 6 | no | — |
| 179 | D4×D5 | C2×D4 | 1 | 3 | yes | — |
| 180 | D4×D5 | C24 | 1 | 2 | yes | — |
| 181 | #709 | — | 2 | 12 | no | — |
| 182 | #709 | — | 2 | 6 | no | — |
| 183 | #709 | — | 2 | 6 | no | — |
| 184 | #709 | C22×C4 | 1 | 3 | yes | — |
| 185 | #709 | C22×C4 | 1 | 6 | yes | — |
| 186 | C2×C4×D5 | — | 2 | 6 | no | — |
| 187 | C2×C4×D5 | — | 2 | 6 | no | — |
| 188 | C2×C4×D5 | C24 | 1 | 3 | yes | — |
| 189 | C2×Dic10 | — | 2 | 6 | no | — |
| 190 | C2×Dic10 | — | 2 | 6 | no | — |
| 191 | C2×Dic10 | C22×C4 | 1 | 6 | yes | — |
| 192 | C22⋊AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 193 | C22⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 194 | C22⋊AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 195 | C22⋊AGL(1,𝔽5) | C2×D4 | 1 | 6 | yes | — |
| 196 | #704 | — | 2 | 3 | no | — |
| 197 | C2×#170 | — | 2 | 3 | no | — |
| 198 | C4⋊AGL(1,𝔽5) | — | 2 | 12 | no | — |
| 199 | C4⋊AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 200 | C4⋊AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 201 | C4⋊AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 202 | C4⋊AGL(1,𝔽5) | C2×D4 | 1 | 3 | yes | — |
| 203 | C4⋊AGL(1,𝔽5) | C2×D4 | 1 | 3 | yes | — |
| 204 | C4⋊AGL(1,𝔽5) | C24 | 1 | 6 | yes | — |
| 205 | C4⋊AGL(1,𝔽5) | C24 | 1 | 2 | yes | — |
| 206 | C4×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 207 | C4×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 208 | C4×AGL(1,𝔽5) | — | 2 | 12 | no | — |
| 209 | C4×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 210 | C4×AGL(1,𝔽5) | C2×D4 | 1 | 3 | yes | — |
| 211 | C4×AGL(1,𝔽5) | C2×D4 | 1 | 3 | yes | — |
| 212 | C4×AGL(1,𝔽5) | C24 | 1 | 1 | yes | characteristic |
| 213 | C4×AGL(1,𝔽5) | C24 | 1 | 3 | yes | — |
| 214 | #700 | — | 2 | 3 | no | — |
| 215 | D5⋊C8 | — | 2 | 3 | no | — |
| 216 | D5⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 217 | D5⋊C8 | C24 | 1 | 3 | yes | — |
| 218 | C5×Q16 | C22×C4 | 1 | 3 | yes | — |
| 219 | C5×Q16 | C22×C4 | 1 | 6 | yes | — |
| 220 | C5×SD16 | C22×C4 | 1 | 6 | yes | — |
| 221 | C5×D8 | C22×C4 | 1 | 1 | yes | characteristic |
| 222 | C5×M16 | C22×C4 | 1 | 3 | yes | — |
| 223 | C2×C5×C8 | C22×C4 | 1 | 3 | yes | — |
| 224 | #689 | C22×C4 | 1 | 6 | yes | — |
| 225 | #689 | C22×C4 | 1 | 12 | yes | — |
| 226 | #688 | C22×C4 | 1 | 6 | yes | — |
| 227 | #687 | C22×C4 | 1 | 6 | yes | — |
| 228 | #686 | C22×C4 | 1 | 2 | yes | — |
| 229 | #681 | C22×C4 | 1 | 3 | yes | — |
| 230 | C2×#168 | C22×C4 | 1 | 3 | yes | — |
| 231 | Dic20 | C22×C4 | 1 | 3 | yes | — |
| 232 | Dic20 | C22×C4 | 1 | 6 | yes | — |
| 233 | D40 | C22×C4 | 1 | 1 | yes | characteristic |
| 234 | #677 | C22×C4 | 1 | 6 | yes | — |
| 235 | #676 | C22×C4 | 1 | 6 | yes | — |
| 236 | C8×D5 | C22×C4 | 1 | 3 | yes | — |
| 237 | C8×D5 | C22×C4 | 1 | 3 | yes | — |
| 238 | C8×D5 | C24 | 1 | 1 | yes | characteristic |
| 239 | C8×D5 | C24 | 1 | 3 | yes | — |
| 240 | C2×2−1+4 | — | 5 | 2 | no | — |
| 241 | #578 | — | 5 | 2 | no | — |
| 242 | #578 | — | 5 | 6 | no | — |
| 243 | #578 | — | 5 | 3 | no | — |
| 244 | #578 | — | 5 | 3 | no | — |
| 245 | #578 | — | 5 | 1 | no | — |
| 246 | #578 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, direct product factor |
| 247 | C2×#137 | — | 5 | 6 | no | — |
| 248 | C2×#135 | — | 5 | 3 | no | — |
| 249 | C22×Q16 | — | 5 | 3 | no | — |
| 250 | C2×#131 | — | 5 | 1 | no | — |
| 251 | C2×#131 | — | 5 | 1 | no | — |
| 252 | #520 | — | 5 | 2 | no | — |
| 253 | #520 | — | 5 | 6 | no | — |
| 254 | #520 | — | 10 | 6 | no | — |
| 255 | #519 | — | 5 | 6 | no | — |
| 256 | #519 | — | 10 | 2 | no | — |
| 257 | C4×#41 | — | 5 | 1 | no | — |
| 258 | C4×#41 | — | 5 | 6 | no | — |
| 259 | C4×#41 | — | 10 | 6 | no | — |
| 260 | C2×C4×Q8 | — | 5 | 6 | no | — |
| 261 | C2×C4×Q8 | — | 10 | 2 | no | — |
| 262 | #441 | — | 5 | 12 | no | — |
| 263 | #440 | — | 5 | 12 | no | — |
| 264 | C4×Q16 | — | 5 | 3 | no | — |
| 265 | C4×Q16 | — | 5 | 6 | no | — |
| 266 | C4×Q16 | — | 5 | 6 | no | — |
| 267 | C4×Q16 | — | 5 | 6 | no | — |
| 268 | C4×Q16 | — | 5 | 3 | no | — |
| 269 | C4×SD16 | — | 5 | 6 | no | — |
| 270 | C4×SD16 | — | 5 | 6 | no | — |
| 271 | C4×D8 | — | 5 | 1 | no | — |
| 272 | C4×D8 | — | 5 | 3 | no | — |
| 273 | #428 | — | 5 | 6 | no | — |
| 274 | #427 | — | 5 | 3 | no | — |
| 275 | C2×#107 | — | 5 | 3 | no | — |
| 276 | #419 | — | 5 | 6 | no | — |
| 277 | #417 | — | 5 | 6 | no | — |
| 278 | #416 | — | 5 | 6 | no | — |
| 279 | C2×#103 | — | 5 | 6 | no | — |
| 280 | #405 | — | 5 | 3 | no | — |
| 281 | #405 | — | 5 | 3 | no | — |
| 282 | C4×M16 | — | 5 | 3 | no | — |
| 283 | C2×C4×C8 | — | 5 | 3 | no | — |
| 284 | C22×D5 | — | 2 | 2 | no | — |
| 285 | C22×D5 | C22×D4 | 1 | 3 | yes | — |
| 286 | C2×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 287 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 288 | C2×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 289 | C2×AGL(1,𝔽5) | — | 4 | 3 | no | — |
| 290 | C2×AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 291 | C2×AGL(1,𝔽5) | — | 8 | 6 | no | — |
| 292 | C2×AGL(1,𝔽5) | — | 8 | 6 | no | — |
| 293 | C2×AGL(1,𝔽5) | C22×D4 | 1 | 3 | yes | — |
| 294 | C2×AGL(1,𝔽5) | C22×D4 | 1 | 3 | yes | — |
| 295 | C2×AGL(1,𝔽5) | C22×D4 | 1 | 1 | yes | characteristic |
| 296 | C2×AGL(1,𝔽5) | C22×D4 | 1 | 1 | yes | characteristic |
| 297 | C5×Q8 | — | 2 | 6 | no | — |
| 298 | C5×Q8 | C4×D4 | 1 | 1 | yes | characteristic |
| 299 | C5×Q8 | C23×C4 | 1 | 6 | yes | — |
| 300 | C5×D4 | — | 2 | 6 | no | — |
| 301 | C5×D4 | C4×D4 | 1 | 3 | yes | — |
| 302 | C5×D4 | C23×C4 | 1 | 2 | yes | — |
| 303 | C2×C4×C5 | — | 2 | 6 | no | — |
| 304 | C2×C4×C5 | — | 2 | 6 | no | — |
| 305 | C2×C4×C5 | C23×C4 | 1 | 3 | yes | — |
| 306 | C22⋊D5 | — | 2 | 6 | no | — |
| 307 | C22⋊D5 | — | 2 | 6 | no | — |
| 308 | C22⋊D5 | — | 2 | 2 | no | — |
| 309 | C22⋊D5 | C4×D4 | 1 | 6 | yes | — |
| 310 | C2×Dic5 | — | 2 | 6 | no | — |
| 311 | C2×Dic5 | — | 2 | 6 | no | — |
| 312 | C2×Dic5 | C2×#41 | 1 | 3 | yes | — |
| 313 | D20 | — | 2 | 6 | no | — |
| 314 | D20 | C4×D4 | 1 | 3 | yes | — |
| 315 | D20 | C23×C4 | 1 | 2 | yes | — |
| 316 | C4×D5 | — | 2 | 12 | no | — |
| 317 | C4×D5 | — | 2 | 6 | no | — |
| 318 | C4×D5 | — | 2 | 6 | no | — |
| 319 | C4×D5 | — | 2 | 6 | no | — |
| 320 | C4×D5 | C23×C4 | 1 | 3 | yes | — |
| 321 | C4×D5 | C22×D4 | 1 | 3 | yes | — |
| 322 | C4×D5 | C2×#41 | 1 | 3 | yes | — |
| 323 | C4×D5 | C25 | 1 | 1 | yes | characteristic |
| 324 | Dic10 | — | 2 | 6 | no | — |
| 325 | Dic10 | — | 2 | 12 | no | — |
| 326 | Dic10 | — | 2 | 6 | no | — |
| 327 | Dic10 | C4×D4 | 1 | 3 | yes | — |
| 328 | Dic10 | C23×C4 | 1 | 6 | yes | — |
| 329 | #170 | — | 2 | 1 | no | — |
| 330 | #170 | — | 2 | 3 | no | — |
| 331 | C5×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 332 | C5×C8 | C23×C4 | 1 | 3 | yes | — |
| 333 | #168 | C23×C4 | 1 | 1 | yes | characteristic |
| 334 | #168 | C23×C4 | 1 | 3 | yes | — |
| 335 | 2−1+4 | — | 5 | 6 | no | — |
| 336 | 2−1+4 | — | 5 | 2 | no | — |
| 337 | 2−1+4 | — | 5 | 6 | no | — |
| 338 | 2−1+4 | — | 10 | 2 | no | — |
| 339 | 2−1+4 | — | 10 | 6 | no | — |
| 340 | 2−1+4 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 341 | C2×#41 | — | 5 | 1 | no | — |
| 342 | C2×#41 | — | 5 | 6 | no | — |
| 343 | C2×#41 | — | 10 | 6 | no | — |
| 344 | C22×Q8 | — | 5 | 6 | no | — |
| 345 | C22×Q8 | — | 10 | 2 | no | — |
| 346 | #137 | — | 5 | 6 | no | — |
| 347 | #137 | — | 5 | 6 | no | — |
| 348 | #137 | — | 5 | 12 | no | — |
| 349 | #137 | — | 5 | 12 | no | — |
| 350 | #137 | — | 5 | 6 | no | — |
| 351 | #137 | C2×AGL(1,𝔽5) | 1 | 6 | yes | complemented |
| 352 | #135 | — | 5 | 6 | no | — |
| 353 | #135 | — | 5 | 3 | no | — |
| 354 | #135 | — | 5 | 6 | no | — |
| 355 | #135 | — | 5 | 3 | no | — |
| 356 | #135 | — | 5 | 3 | no | — |
| 357 | #135 | C2×AGL(1,𝔽5) | 1 | 3 | yes | complemented |
| 358 | C2×Q16 | — | 5 | 6 | no | — |
| 359 | C2×Q16 | — | 5 | 3 | no | — |
| 360 | C2×Q16 | — | 5 | 6 | no | — |
| 361 | C2×Q16 | — | 5 | 6 | no | — |
| 362 | C2×Q16 | — | 5 | 6 | no | — |
| 363 | C2×Q16 | — | 5 | 3 | no | — |
| 364 | C2×Q16 | C2×AGL(1,𝔽5) | 1 | 3 | yes | complemented |
| 365 | C2×SD16 | — | 5 | 6 | no | — |
| 366 | C2×D8 | — | 5 | 1 | no | — |
| 367 | #131 | — | 5 | 1 | no | — |
| 368 | #131 | — | 5 | 3 | no | — |
| 369 | #131 | — | 5 | 3 | no | — |
| 370 | #131 | — | 10 | 3 | no | — |
| 371 | #131 | — | 10 | 1 | no | — |
| 372 | #131 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 373 | C2×M16 | — | 5 | 3 | no | — |
| 374 | C2×M16 | — | 5 | 3 | no | — |
| 375 | C22×C8 | — | 5 | 3 | no | — |
| 376 | C22×C8 | — | 5 | 3 | no | — |
| 377 | C4×Q8 | — | 5 | 1 | no | — |
| 378 | C4×Q8 | — | 5 | 1 | no | — |
| 379 | C4×Q8 | — | 5 | 6 | no | — |
| 380 | C4×Q8 | — | 5 | 12 | no | — |
| 381 | C4×Q8 | — | 5 | 6 | no | — |
| 382 | C4×Q8 | — | 10 | 6 | no | — |
| 383 | C4×Q8 | — | 10 | 6 | no | — |
| 384 | C4×Q8 | — | 10 | 6 | no | — |
| 385 | C4×Q8 | — | 10 | 6 | no | — |
| 386 | C4×Q8 | — | 10 | 2 | no | — |
| 387 | C4×D4 | — | 5 | 3 | no | — |
| 388 | C4×D4 | — | 5 | 3 | no | — |
| 389 | C4×D4 | — | 5 | 2 | no | — |
| 390 | C4×D4 | — | 5 | 6 | no | — |
| 391 | C4×D4 | — | 10 | 12 | no | — |
| 392 | C4×D4 | — | 10 | 6 | no | — |
| 393 | C4×D4 | — | 10 | 6 | no | — |
| 394 | C4×D4 | — | 10 | 6 | no | — |
| 395 | #117 | — | 5 | 3 | no | — |
| 396 | #117 | — | 5 | 6 | no | — |
| 397 | #117 | — | 10 | 6 | no | — |
| 398 | #117 | — | 10 | 12 | no | — |
| 399 | #117 | — | 10 | 6 | no | — |
| 400 | C2×C4⋊C4 | — | 5 | 6 | no | — |
| 401 | C2×C4⋊C4 | — | 10 | 6 | no | — |
| 402 | C2×C4⋊C4 | — | 10 | 6 | no | — |
| 403 | C2×C42 | — | 5 | 3 | no | — |
| 404 | C2×C42 | — | 10 | 6 | no | — |
| 405 | C2×C42 | — | 10 | 6 | no | — |
| 406 | #107 | — | 5 | 3 | no | — |
| 407 | #107 | — | 5 | 6 | no | — |
| 408 | #107 | — | 5 | 1 | no | — |
| 409 | #106 | — | 5 | 6 | no | — |
| 410 | #103 | — | 5 | 6 | no | — |
| 411 | #103 | — | 5 | 12 | no | — |
| 412 | #103 | — | 5 | 6 | no | — |
| 413 | #102 | — | 5 | 2 | no | — |
| 414 | #102 | — | 5 | 6 | no | — |
| 415 | #97 | — | 5 | 6 | no | — |
| 416 | C4×C8 | — | 5 | 1 | no | — |
| 417 | C4×C8 | — | 5 | 3 | no | — |
| 418 | C4×C8 | — | 5 | 3 | no | — |
| 419 | C4×C8 | — | 5 | 3 | no | — |
| 420 | C22×C5 | — | 2 | 2 | no | — |
| 421 | C22×C5 | C2×C4×D4 | 1 | 3 | yes | — |
| 422 | C2×D5 | — | 2 | 3 | no | — |
| 423 | C2×D5 | — | 2 | 3 | no | — |
| 424 | C2×D5 | — | 2 | 2 | no | — |
| 425 | C2×D5 | — | 4 | 2 | no | — |
| 426 | C2×D5 | — | 4 | 2 | no | — |
| 427 | C2×D5 | C2×C4×D4 | 1 | 3 | yes | — |
| 428 | C2×D5 | C23×D4 | 1 | 1 | yes | characteristic |
| 429 | AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 430 | AGL(1,𝔽5) | — | 2 | 3 | no | — |
| 431 | AGL(1,𝔽5) | — | 2 | 3 | no | — |
| 432 | AGL(1,𝔽5) | — | 4 | 6 | no | — |
| 433 | AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 434 | AGL(1,𝔽5) | #578 | 1 | 2 | yes | direct product factor |
| 435 | C4×C5 | — | 2 | 6 | no | — |
| 436 | C4×C5 | C2×C4×D4 | 1 | 3 | yes | — |
| 437 | C4×C5 | C24×C4 | 1 | 1 | yes | characteristic |
| 438 | Dic5 | — | 2 | 6 | no | — |
| 439 | Dic5 | C2×C4×D4 | 1 | 3 | yes | — |
| 440 | Dic5 | C22×#41 | 1 | 1 | yes | characteristic |
| 441 | #41 | — | 2 | 6 | no | — |
| 442 | #41 | — | 5 | 1 | no | — |
| 443 | #41 | — | 5 | 3 | no | — |
| 444 | #41 | — | 5 | 3 | no | — |
| 445 | #41 | — | 5 | 6 | no | — |
| 446 | #41 | — | 5 | 6 | no | — |
| 447 | #41 | — | 5 | 6 | no | — |
| 448 | #41 | — | 10 | 6 | no | — |
| 449 | #41 | — | 10 | 12 | no | — |
| 450 | #41 | — | 10 | 6 | no | — |
| 451 | #41 | — | 10 | 6 | no | — |
| 452 | #41 | — | 10 | 12 | no | — |
| 453 | #41 | — | 10 | 6 | no | — |
| 454 | #41 | — | 10 | 6 | no | — |
| 455 | #41 | C22×AGL(1,𝔽5) | 1 | 6 | yes | — |
| 456 | #41 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 457 | C2×Q8 | — | 2 | 2 | no | — |
| 458 | C2×Q8 | — | 5 | 1 | no | — |
| 459 | C2×Q8 | — | 5 | 6 | no | — |
| 460 | C2×Q8 | — | 5 | 12 | no | — |
| 461 | C2×Q8 | — | 5 | 6 | no | — |
| 462 | C2×Q8 | — | 10 | 6 | no | — |
| 463 | C2×Q8 | — | 10 | 6 | no | — |
| 464 | C2×Q8 | — | 10 | 6 | no | — |
| 465 | C2×Q8 | — | 10 | 6 | no | — |
| 466 | C2×Q8 | — | 10 | 6 | no | — |
| 467 | C2×Q8 | — | 10 | 2 | no | — |
| 468 | C2×Q8 | C22×AGL(1,𝔽5) | 1 | 6 | yes | — |
| 469 | C2×D4 | — | 5 | 3 | no | — |
| 470 | C2×D4 | — | 5 | 2 | no | — |
| 471 | C2×D4 | — | 10 | 6 | no | — |
| 472 | C22×C4 | — | 5 | 3 | no | — |
| 473 | C22×C4 | — | 5 | 3 | no | — |
| 474 | C22×C4 | — | 5 | 3 | no | — |
| 475 | C22×C4 | — | 10 | 6 | no | — |
| 476 | C22×C4 | — | 10 | 6 | no | — |
| 477 | C22×C4 | — | 10 | 2 | no | — |
| 478 | C22×C4 | — | 10 | 6 | no | — |
| 479 | C22×C4 | — | 10 | 6 | no | — |
| 480 | Q16 | — | 5 | 6 | no | — |
| 481 | Q16 | — | 5 | 12 | no | — |
| 482 | Q16 | — | 5 | 3 | no | — |
| 483 | Q16 | — | 5 | 6 | no | — |
| 484 | Q16 | C22×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 485 | Q16 | C22×AGL(1,𝔽5) | 1 | 6 | yes | — |
| 486 | SD16 | — | 5 | 6 | no | — |
| 487 | SD16 | — | 5 | 6 | no | — |
| 488 | SD16 | — | 5 | 6 | no | — |
| 489 | SD16 | C22×AGL(1,𝔽5) | 1 | 6 | yes | — |
| 490 | D8 | — | 5 | 2 | no | — |
| 491 | D8 | — | 5 | 1 | no | — |
| 492 | D8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 493 | M16 | — | 5 | 3 | no | — |
| 494 | M16 | — | 5 | 6 | no | — |
| 495 | M16 | — | 10 | 3 | no | — |
| 496 | M16 | — | 10 | 3 | no | — |
| 497 | M16 | C22×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 498 | C2×C8 | — | 5 | 3 | no | — |
| 499 | C2×C8 | — | 5 | 1 | no | — |
| 500 | C2×C8 | — | 5 | 3 | no | — |
| 501 | C2×C8 | — | 5 | 3 | no | — |
| 502 | C2×C8 | — | 5 | 3 | no | — |
| 503 | C2×C8 | — | 5 | 1 | no | — |
| 504 | C2×C8 | — | 5 | 3 | no | — |
| 505 | C2×C8 | — | 10 | 3 | no | — |
| 506 | C2×C8 | — | 10 | 3 | no | — |
| 507 | C2×C8 | C22×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 508 | C4⋊C4 | — | 5 | 3 | no | — |
| 509 | C4⋊C4 | — | 5 | 3 | no | — |
| 510 | C4⋊C4 | — | 5 | 2 | no | — |
| 511 | C4⋊C4 | — | 5 | 6 | no | — |
| 512 | C4⋊C4 | — | 10 | 6 | no | — |
| 513 | C4⋊C4 | — | 10 | 6 | no | — |
| 514 | C4⋊C4 | — | 10 | 12 | no | — |
| 515 | C4⋊C4 | — | 10 | 6 | no | — |
| 516 | C22⋊C4 | — | 5 | 6 | no | — |
| 517 | C22⋊C4 | — | 10 | 2 | no | — |
| 518 | C22⋊C4 | — | 10 | 6 | no | — |
| 519 | C22⋊C4 | — | 10 | 6 | no | — |
| 520 | C42 | — | 5 | 1 | no | — |
| 521 | C42 | — | 5 | 3 | no | — |
| 522 | C42 | — | 5 | 3 | no | — |
| 523 | C42 | — | 5 | 3 | no | — |
| 524 | C42 | — | 10 | 6 | no | — |
| 525 | C42 | — | 10 | 6 | no | — |
| 526 | C42 | — | 10 | 12 | no | — |
| 527 | C42 | — | 10 | 6 | no | — |
| 528 | C2×C5 | — | 2 | 3 | no | — |
| 529 | C2×C5 | — | 4 | 2 | no | — |
| 530 | C2×C5 | C22×C4×D4 | 1 | 1 | yes | characteristic |
| 531 | D5 | — | 2 | 3 | no | — |
| 532 | D5 | — | 4 | 2 | no | — |
| 533 | D5 | C2×#578 | 1 | 1 | yes | characteristic |
| 534 | D5 | #3584 | 1 | 1 | yes | characteristic |
| 535 | C23 | — | 5 | 3 | no | — |
| 536 | C23 | — | 10 | 2 | no | — |
| 537 | Q8 | — | 2 | 6 | no | — |
| 538 | Q8 | — | 5 | 3 | no | — |
| 539 | Q8 | — | 5 | 6 | no | — |
| 540 | Q8 | — | 10 | 6 | no | — |
| 541 | Q8 | — | 10 | 12 | no | — |
| 542 | Q8 | — | 10 | 6 | no | — |
| 543 | Q8 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 544 | Q8 | C23×AGL(1,𝔽5) | 1 | 6 | yes | — |
| 545 | D4 | — | 2 | 6 | no | — |
| 546 | D4 | — | 5 | 6 | no | — |
| 547 | D4 | — | 5 | 3 | no | — |
| 548 | D4 | — | 5 | 2 | no | — |
| 549 | D4 | — | 10 | 6 | no | — |
| 550 | D4 | — | 10 | 2 | no | — |
| 551 | D4 | — | 10 | 6 | no | — |
| 552 | D4 | — | 10 | 6 | no | — |
| 553 | D4 | D4×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 554 | D4 | C23×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 555 | C2×C4 | — | 2 | 6 | no | — |
| 556 | C2×C4 | — | 2 | 6 | no | — |
| 557 | C2×C4 | — | 5 | 1 | no | — |
| 558 | C2×C4 | — | 5 | 3 | no | — |
| 559 | C2×C4 | — | 5 | 3 | no | — |
| 560 | C2×C4 | — | 5 | 3 | no | — |
| 561 | C2×C4 | — | 5 | 1 | no | — |
| 562 | C2×C4 | — | 5 | 3 | no | — |
| 563 | C2×C4 | — | 5 | 1 | no | — |
| 564 | C2×C4 | — | 5 | 3 | no | — |
| 565 | C2×C4 | — | 5 | 3 | no | — |
| 566 | C2×C4 | — | 10 | 6 | no | — |
| 567 | C2×C4 | — | 10 | 6 | no | — |
| 568 | C2×C4 | — | 10 | 12 | no | — |
| 569 | C2×C4 | — | 10 | 6 | no | — |
| 570 | C2×C4 | — | 10 | 6 | no | — |
| 571 | C2×C4 | — | 10 | 6 | no | — |
| 572 | C2×C4 | — | 10 | 6 | no | — |
| 573 | C2×C4 | — | 10 | 2 | no | — |
| 574 | C2×C4 | — | 10 | 6 | no | — |
| 575 | C2×C4 | — | 20 | 4 | no | — |
| 576 | C2×C4 | — | 20 | 3 | no | — |
| 577 | C2×C4 | — | 40 | 6 | no | — |
| 578 | C2×C4 | — | 40 | 6 | no | — |
| 579 | C2×C4 | C23×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 580 | C8 | — | 5 | 1 | no | — |
| 581 | C8 | — | 5 | 3 | no | — |
| 582 | C8 | — | 10 | 1 | no | — |
| 583 | C8 | — | 10 | 3 | no | — |
| 584 | C8 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 585 | C8 | C23×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 586 | C5 | C4×#578 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 587 | C22 | — | 2 | 2 | no | — |
| 588 | C22 | — | 5 | 1 | no | — |
| 589 | C22 | — | 5 | 3 | no | — |
| 590 | C22 | — | 10 | 3 | no | — |
| 591 | C22 | — | 10 | 3 | no | — |
| 592 | C22 | — | 10 | 2 | no | — |
| 593 | C22 | — | 20 | 2 | no | — |
| 594 | C22 | — | 20 | 2 | no | — |
| 595 | C22 | C2×D4×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 596 | C4 | — | 2 | 6 | no | — |
| 597 | C4 | — | 5 | 2 | no | — |
| 598 | C4 | — | 5 | 1 | no | — |
| 599 | C4 | — | 5 | 3 | no | — |
| 600 | C4 | — | 10 | 3 | no | — |
| 601 | C4 | — | 10 | 1 | no | — |
| 602 | C4 | — | 10 | 3 | no | — |
| 603 | C4 | — | 10 | 6 | no | — |
| 604 | C4 | — | 20 | 2 | no | — |
| 605 | C4 | — | 20 | 6 | no | — |
| 606 | C4 | C2×D4×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 607 | C4 | C24×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 608 | C2 | — | 2 | 3 | no | — |
| 609 | C2 | — | 4 | 2 | no | — |
| 610 | C2 | — | 5 | 1 | no | — |
| 611 | C2 | — | 5 | 1 | no | — |
| 612 | C2 | — | 10 | 3 | no | — |
| 613 | C2 | — | 20 | 2 | no | — |
| 614 | C2 | C22×D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta