| 1 | #11756835 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | D5×#904 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C2×C8×ΓL(1,𝔽16) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#65721 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11751703 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11751669 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11751664 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11751663 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | AGL(1,𝔽5)×#135 | — | 3 | 1 | no | maximal, Hall |
| 10 | D5×#235 | C22 | 1 | 2 | yes | — |
| 11 | C2×C4×ΓL(1,𝔽16) | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×D5⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 13 | C3×#4130 | C22 | 1 | 2 | yes | — |
| 14 | #67⋊AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 15 | #91921 | C22 | 1 | 4 | yes | — |
| 16 | C4×D3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 17 | #91909 | — | 2 | 2 | no | — |
| 18 | ΓL(1,𝔽16)⋊Q8 | C22 | 1 | 4 | yes | — |
| 19 | #91793 | C4 | 1 | 1 | yes | characteristic, complemented |
| 20 | C5×#904 | C4 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×C3×C8×D5 | C22 | 1 | 1 | yes | characteristic |
| 22 | #91303 | C4 | 1 | 2 | yes | complemented |
| 23 | #91271 | C4 | 1 | 1 | yes | characteristic, complemented |
| 24 | #91270 | C4 | 1 | 1 | yes | characteristic, complemented |
| 25 | #91269 | C4 | 1 | 2 | yes | complemented |
| 26 | D5×Dic12 | C22 | 1 | 1 | yes | characteristic |
| 27 | D5×D24 | C22 | 1 | 1 | yes | characteristic |
| 28 | D5×#204 | C22 | 1 | 2 | yes | — |
| 29 | C8×ΓL(1,𝔽16) | C22 | 1 | 2 | yes | — |
| 30 | C8×ΓL(1,𝔽16) | C22 | 1 | 2 | yes | — |
| 31 | C3×#3994 | C22 | 1 | 2 | yes | — |
| 32 | C3×#3993 | C22 | 1 | 2 | yes | — |
| 33 | #91153 | C22 | 1 | 4 | yes | — |
| 34 | #91151 | C22 | 1 | 4 | yes | — |
| 35 | #79165 | — | 5 | 1 | no | maximal, Hall |
| 36 | #41×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 37 | D5×#135 | — | 3 | 1 | no | — |
| 38 | #65794 | — | 3 | 2 | no | — |
| 39 | Q16×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 40 | SD16×AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 41 | D8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 42 | #65721 | D3 | 1 | 1 | yes | characteristic, complemented |
| 43 | C2×C8×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 44 | C22×ΓL(1,𝔽16) | D4 | 1 | 2 | yes | — |
| 45 | C2×D3×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 46 | #6817 | C2×C4 | 1 | 2 | yes | complemented |
| 47 | C5×#235 | C2×C4 | 1 | 2 | yes | complemented |
| 48 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 49 | D5×#67 | — | 2 | 2 | no | — |
| 50 | #6782 | — | 2 | 2 | no | — |
| 51 | D5×D12 | C23 | 1 | 2 | yes | — |
| 52 | C4×D3×D5 | — | 2 | 2 | no | — |
| 53 | #6773 | C2×C4 | 1 | 2 | yes | complemented |
| 54 | #6772 | C2×C4 | 1 | 2 | yes | complemented |
| 55 | #6771 | — | 2 | 2 | no | — |
| 56 | D5×Dic6 | C23 | 1 | 2 | yes | — |
| 57 | C2×C3⋊#170 | — | 2 | 1 | no | — |
| 58 | C4×ΓL(1,𝔽16) | D4 | 1 | 1 | yes | characteristic |
| 59 | C4×ΓL(1,𝔽16) | D4 | 1 | 1 | yes | characteristic |
| 60 | C4×ΓL(1,𝔽16) | C23 | 1 | 2 | yes | — |
| 61 | D5⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 62 | D5⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 63 | C3×C22⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 64 | C3×C4⋊AGL(1,𝔽5) | C23 | 1 | 4 | yes | — |
| 65 | C3×C4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 66 | Dic3⋊AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 67 | (C2×D3)⋊AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 68 | Dic3×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 69 | C2×C3×C5×C8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 70 | Dic60 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 71 | D120 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 72 | #6706 | C2×C4 | 1 | 2 | yes | complemented |
| 73 | C5×Dic12 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 74 | C5×D24 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 75 | C5×#204 | C2×C4 | 1 | 2 | yes | complemented |
| 76 | C2×C3×#168 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 77 | C3×C8×D5 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 78 | C3×C8×D5 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 79 | C3×C8×D5 | C23 | 1 | 1 | yes | characteristic |
| 80 | C3×C8×D5 | C23 | 1 | 1 | yes | characteristic |
| 81 | #6663 | C2×C4 | 1 | 2 | yes | complemented |
| 82 | #6660 | C2×C4 | 1 | 2 | yes | complemented |
| 83 | #6659 | C2×C4 | 1 | 2 | yes | complemented |
| 84 | #6654 | C2×C4 | 1 | 2 | yes | complemented |
| 85 | C2×#904 | — | 5 | 1 | no | — |
| 86 | #5522 | — | 5 | 2 | no | — |
| 87 | C3×#427 | — | 5 | 1 | no | — |
| 88 | C2×C8×Dic3 | — | 5 | 1 | no | — |
| 89 | #5002 | — | 5 | 2 | no | — |
| 90 | #4873 | — | 5 | 2 | no | — |
| 91 | #4872 | — | 5 | 2 | no | — |
| 92 | #4852 | — | 5 | 4 | no | — |
| 93 | D5×#41 | — | 3 | 2 | no | — |
| 94 | Q8×AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 95 | D4×AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 96 | D4×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 97 | #4130 | — | 6 | 2 | no | — |
| 98 | #4130 | C2×D3 | 1 | 2 | yes | — |
| 99 | C2×C4×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 100 | C2×C4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 101 | C2×D5⋊C8 | — | 3 | 1 | no | — |
| 102 | C5×#135 | — | 3 | 1 | no | — |
| 103 | #4096 | — | 3 | 2 | no | — |
| 104 | #4065 | — | 3 | 1 | no | — |
| 105 | D5×Q16 | — | 3 | 1 | no | — |
| 106 | #4062 | — | 3 | 2 | no | — |
| 107 | D5×SD16 | — | 3 | 2 | no | — |
| 108 | #4058 | — | 3 | 1 | no | — |
| 109 | D5×D8 | — | 3 | 1 | no | — |
| 110 | #4050 | — | 3 | 1 | no | — |
| 111 | C2×C8×D5 | C2×D3 | 1 | 1 | yes | characteristic |
| 112 | #4009 | — | 3 | 4 | no | — |
| 113 | #4007 | — | 3 | 4 | no | — |
| 114 | #3994 | C2×D3 | 1 | 2 | yes | — |
| 115 | #3993 | C2×D3 | 1 | 2 | yes | — |
| 116 | C8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 117 | C8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 118 | C4×#135 | — | 15 | 1 | no | Sylow |
| 119 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 120 | C2×D3×D5 | — | 2 | 2 | no | — |
| 121 | C2×ΓL(1,𝔽16) | — | 2 | 4 | no | — |
| 122 | C2×ΓL(1,𝔽16) | C2×D4 | 1 | 2 | yes | — |
| 123 | C2×ΓL(1,𝔽16) | C2×D4 | 1 | 2 | yes | — |
| 124 | C2×C3×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 125 | D3×AGL(1,𝔽5) | — | 4 | 8 | no | — |
| 126 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 127 | #1220 | — | 2 | 2 | no | — |
| 128 | D60 | C22×C4 | 1 | 2 | yes | — |
| 129 | C4×D15 | — | 2 | 2 | no | — |
| 130 | Dic30 | C22×C4 | 1 | 2 | yes | — |
| 131 | C5×#67 | — | 2 | 2 | no | — |
| 132 | C5×D12 | C22×C4 | 1 | 2 | yes | — |
| 133 | C4×C5×D3 | — | 2 | 2 | no | — |
| 134 | C5×Dic6 | C22×C4 | 1 | 2 | yes | — |
| 135 | C2×C3×Dic5 | #41 | 1 | 1 | yes | characteristic |
| 136 | C3×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 137 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 138 | C3×C4×D5 | #41 | 1 | 1 | yes | characteristic |
| 139 | C3×C4×D5 | C24 | 1 | 1 | yes | characteristic |
| 140 | #1204 | — | 2 | 2 | no | — |
| 141 | #1203 | — | 2 | 2 | no | — |
| 142 | #1202 | — | 2 | 2 | no | — |
| 143 | #1201 | — | 2 | 2 | no | — |
| 144 | #1200 | — | 2 | 2 | no | — |
| 145 | D3×Dic5 | — | 2 | 2 | no | — |
| 146 | D5×Dic3 | — | 2 | 2 | no | — |
| 147 | C3⋊#170 | — | 2 | 2 | no | — |
| 148 | C3×C5×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 149 | C3×C5×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 150 | C3×#168 | C22×C4 | 1 | 1 | yes | characteristic |
| 151 | C3×#168 | C22×C4 | 1 | 1 | yes | characteristic |
| 152 | C2×#235 | — | 5 | 2 | no | — |
| 153 | C22×C3×C8 | — | 5 | 1 | no | — |
| 154 | C3×#117 | — | 5 | 2 | no | — |
| 155 | C2×C4×Dic3 | — | 5 | 1 | no | — |
| 156 | C22×C3⋊C8 | — | 5 | 1 | no | — |
| 157 | C2×Dic12 | — | 5 | 1 | no | — |
| 158 | #904 | — | 5 | 2 | no | — |
| 159 | #904 | — | 5 | 1 | no | — |
| 160 | #904 | — | 5 | 1 | no | — |
| 161 | #904 | — | 5 | 1 | no | — |
| 162 | #904 | — | 5 | 2 | no | — |
| 163 | #904 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 164 | C2×D24 | — | 5 | 1 | no | — |
| 165 | C2×#204 | — | 5 | 2 | no | — |
| 166 | #893 | — | 5 | 4 | no | — |
| 167 | #887 | — | 5 | 4 | no | — |
| 168 | #67⋊C4 | — | 10 | 4 | no | — |
| 169 | #872 | — | 10 | 2 | no | — |
| 170 | C42×D3 | — | 10 | 2 | no | — |
| 171 | C3×#107 | — | 5 | 2 | no | — |
| 172 | C3×#106 | — | 5 | 2 | no | — |
| 173 | C8×Dic3 | — | 5 | 2 | no | — |
| 174 | C8×Dic3 | — | 5 | 2 | no | — |
| 175 | #810 | — | 5 | 4 | no | — |
| 176 | #809 | — | 5 | 4 | no | — |
| 177 | C22×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 178 | C22×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 179 | C5×#41 | — | 3 | 2 | no | — |
| 180 | #713 | — | 3 | 2 | no | — |
| 181 | Q8×D5 | — | 3 | 2 | no | — |
| 182 | #711 | — | 3 | 2 | no | — |
| 183 | #711 | — | 6 | 2 | no | — |
| 184 | D4×D5 | — | 3 | 2 | no | — |
| 185 | D4×D5 | — | 6 | 2 | no | — |
| 186 | #709 | — | 3 | 2 | no | — |
| 187 | #709 | — | 6 | 2 | no | — |
| 188 | C2×C4×D5 | — | 6 | 2 | no | — |
| 189 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 190 | C22⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 191 | C22⋊AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 192 | C2×#170 | — | 6 | 1 | no | — |
| 193 | C4⋊AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 194 | C4⋊AGL(1,𝔽5) | C22×D3 | 1 | 4 | yes | — |
| 195 | C4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 196 | C4×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 197 | C4×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 198 | C4×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 199 | C4×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 200 | D5⋊C8 | — | 3 | 2 | no | — |
| 201 | D5⋊C8 | — | 6 | 1 | no | — |
| 202 | C5×Q16 | — | 3 | 1 | no | — |
| 203 | C5×SD16 | — | 3 | 2 | no | — |
| 204 | C5×D8 | — | 3 | 1 | no | — |
| 205 | C2×C5×C8 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 206 | #689 | — | 3 | 2 | no | — |
| 207 | #688 | — | 3 | 2 | no | — |
| 208 | #687 | — | 3 | 2 | no | — |
| 209 | #686 | — | 3 | 2 | no | — |
| 210 | C2×#168 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 211 | Dic20 | — | 3 | 1 | no | — |
| 212 | D40 | — | 3 | 1 | no | — |
| 213 | #677 | — | 3 | 2 | no | — |
| 214 | C8×D5 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 215 | C8×D5 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 216 | C8×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 217 | C8×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 218 | C2×#135 | — | 15 | 1 | no | — |
| 219 | C4×#41 | — | 15 | 2 | no | — |
| 220 | C4×Q16 | — | 15 | 2 | no | — |
| 221 | C4×SD16 | — | 15 | 4 | no | — |
| 222 | C4×D8 | — | 15 | 2 | no | — |
| 223 | #427 | — | 5 | 1 | no | — |
| 224 | #416 | — | 15 | 2 | no | — |
| 225 | C2×C4×C8 | — | 15 | 1 | no | — |
| 226 | C22×C3×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 227 | C2×D15 | — | 2 | 2 | no | — |
| 228 | C2×C5×D3 | — | 2 | 2 | no | — |
| 229 | C2×C3×D5 | — | 2 | 2 | no | — |
| 230 | C2×C3×D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 231 | C2×C3×D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 232 | D3×D5 | — | 4 | 4 | no | — |
| 233 | ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 234 | ΓL(1,𝔽16) | #135 | 1 | 4 | yes | complemented |
| 235 | C3×AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 236 | C3×C4×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 237 | C3×C4×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 238 | Dic15 | — | 2 | 2 | no | — |
| 239 | C3×Dic5 | C4×D4 | 1 | 1 | yes | characteristic |
| 240 | C3×Dic5 | C2×#41 | 1 | 1 | yes | characteristic |
| 241 | C5×Dic3 | — | 2 | 2 | no | — |
| 242 | C22×C3×C4 | — | 5 | 1 | no | — |
| 243 | C2×#67 | — | 10 | 2 | no | — |
| 244 | C22×Dic3 | — | 5 | 2 | no | — |
| 245 | #235 | — | 5 | 2 | no | — |
| 246 | #235 | — | 5 | 2 | no | — |
| 247 | #235 | — | 5 | 2 | no | — |
| 248 | #235 | — | 10 | 2 | no | — |
| 249 | #235 | — | 10 | 2 | no | — |
| 250 | #235 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 251 | C2×D12 | — | 5 | 2 | no | — |
| 252 | C2×C4×D3 | — | 10 | 2 | no | — |
| 253 | C2×C4×D3 | — | 10 | 4 | no | — |
| 254 | C2×Dic6 | — | 5 | 2 | 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 | 1 | no | — |
| 260 | C2×C3×C8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 261 | C3×C4⋊C4 | — | 5 | 4 | no | — |
| 262 | C3×C22⋊C4 | — | 10 | 2 | no | — |
| 263 | C3×C42 | — | 10 | 2 | no | — |
| 264 | (C2×D3)⋊C4 | — | 10 | 4 | no | — |
| 265 | Dic3⋊C4 | — | 10 | 4 | no | — |
| 266 | C4×Dic3 | — | 5 | 2 | no | — |
| 267 | C4×Dic3 | — | 5 | 1 | no | — |
| 268 | C4×Dic3 | — | 5 | 1 | no | — |
| 269 | C4×Dic3 | — | 10 | 4 | no | — |
| 270 | C2×C3⋊C8 | — | 5 | 2 | no | — |
| 271 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 272 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 273 | Dic12 | — | 5 | 2 | no | — |
| 274 | Dic12 | — | 5 | 1 | no | — |
| 275 | Dic12 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 276 | D24 | — | 5 | 2 | no | — |
| 277 | D24 | — | 5 | 1 | no | — |
| 278 | D24 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 279 | #204 | — | 5 | 2 | no | — |
| 280 | #204 | — | 5 | 2 | no | — |
| 281 | #204 | — | 5 | 2 | no | — |
| 282 | #204 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 283 | C22×D5 | — | 6 | 2 | no | — |
| 284 | C22×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 285 | C2×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 286 | C2×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 287 | C2×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 288 | C2×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 289 | C2×AGL(1,𝔽5) | — | 12 | 8 | no | — |
| 290 | C5×Q8 | — | 3 | 2 | no | — |
| 291 | C5×D4 | — | 3 | 2 | no | — |
| 292 | C5×D4 | — | 6 | 2 | no | — |
| 293 | C2×C4×C5 | — | 6 | 2 | no | — |
| 294 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 295 | C22⋊D5 | — | 6 | 2 | no | — |
| 296 | C22⋊D5 | — | 6 | 2 | no | — |
| 297 | C22⋊D5 | — | 6 | 2 | no | — |
| 298 | C2×Dic5 | — | 6 | 2 | no | — |
| 299 | C2×Dic5 | #239 | 1 | 1 | yes | characteristic |
| 300 | D20 | — | 3 | 2 | no | — |
| 301 | D20 | — | 6 | 2 | no | — |
| 302 | C4×D5 | — | 6 | 2 | no | — |
| 303 | C4×D5 | — | 6 | 2 | no | — |
| 304 | C4×D5 | — | 6 | 2 | no | — |
| 305 | C4×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 306 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 307 | C4×D5 | #239 | 1 | 1 | yes | characteristic |
| 308 | C4×D5 | C23×D3 | 1 | 1 | yes | characteristic |
| 309 | Dic10 | — | 3 | 2 | no | — |
| 310 | Dic10 | — | 6 | 2 | no | — |
| 311 | #170 | — | 6 | 2 | no | — |
| 312 | C5×C8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 313 | C5×C8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 314 | #168 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 315 | #168 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 316 | C2×#41 | — | 15 | 2 | no | — |
| 317 | #135 | — | 3 | 1 | no | — |
| 318 | #135 | — | 15 | 1 | no | — |
| 319 | #135 | — | 15 | 2 | no | — |
| 320 | #135 | — | 15 | 1 | no | — |
| 321 | #135 | — | 15 | 2 | no | — |
| 322 | #135 | — | 15 | 1 | no | — |
| 323 | C2×Q16 | — | 15 | 1 | no | — |
| 324 | C2×SD16 | — | 15 | 2 | no | — |
| 325 | C2×D8 | — | 15 | 1 | no | — |
| 326 | C22×C8 | — | 5 | 1 | no | — |
| 327 | C22×C8 | — | 15 | 1 | no | — |
| 328 | C4×Q8 | — | 15 | 4 | no | — |
| 329 | C4×D4 | — | 15 | 4 | no | — |
| 330 | C4×D4 | — | 30 | 4 | no | — |
| 331 | #117 | — | 5 | 2 | no | — |
| 332 | #117 | — | 30 | 2 | no | — |
| 333 | C2×C42 | — | 15 | 1 | no | — |
| 334 | C2×C42 | — | 30 | 2 | no | — |
| 335 | #107 | — | 5 | 2 | no | — |
| 336 | #106 | — | 5 | 2 | no | — |
| 337 | #103 | — | 15 | 4 | no | — |
| 338 | #102 | — | 15 | 4 | no | — |
| 339 | C4×C8 | — | 15 | 2 | no | — |
| 340 | C4×C8 | — | 15 | 2 | no | — |
| 341 | C2×C3×C5 | — | 2 | 1 | no | — |
| 342 | C2×C3×C5 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 343 | D15 | — | 4 | 2 | no | — |
| 344 | C3×D5 | — | 2 | 1 | no | — |
| 345 | C3×D5 | C2×#135 | 1 | 2 | yes | — |
| 346 | C5×D3 | — | 4 | 2 | no | — |
| 347 | C23×C3 | — | 5 | 1 | no | — |
| 348 | C22×D3 | — | 10 | 2 | 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 | 4 | no | — |
| 355 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 356 | #67 | — | 2 | 2 | no | — |
| 357 | #67 | — | 10 | 2 | no | — |
| 358 | #67 | — | 10 | 2 | no | — |
| 359 | #67 | — | 10 | 2 | no | — |
| 360 | C2×Dic3 | — | 5 | 2 | no | — |
| 361 | C2×Dic3 | — | 5 | 2 | no | — |
| 362 | C2×Dic3 | — | 10 | 2 | no | — |
| 363 | C2×Dic3 | — | 10 | 4 | no | — |
| 364 | D12 | — | 5 | 2 | no | — |
| 365 | D12 | — | 10 | 2 | no | — |
| 366 | D12 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 367 | C4×D3 | — | 2 | 2 | no | — |
| 368 | C4×D3 | — | 10 | 2 | no | — |
| 369 | C4×D3 | — | 10 | 2 | no | — |
| 370 | C4×D3 | — | 10 | 2 | no | — |
| 371 | C4×D3 | — | 20 | 8 | no | — |
| 372 | Dic6 | — | 5 | 2 | no | — |
| 373 | Dic6 | — | 10 | 2 | no | — |
| 374 | Dic6 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 375 | C3×C8 | — | 5 | 1 | no | — |
| 376 | C3×C8 | — | 5 | 1 | no | — |
| 377 | C3×C8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 378 | C3×C8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 379 | C3⋊C8 | — | 10 | 2 | no | — |
| 380 | C22×C5 | — | 6 | 2 | no | — |
| 381 | C22×C5 | #893 | 1 | 1 | yes | characteristic |
| 382 | C2×D5 | — | 2 | 2 | no | — |
| 383 | C2×D5 | — | 6 | 2 | no | — |
| 384 | C2×D5 | — | 12 | 4 | no | — |
| 385 | C2×D5 | #893 | 1 | 1 | yes | characteristic |
| 386 | C2×D5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 387 | AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 388 | AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 389 | AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 390 | C4×C5 | — | 6 | 2 | no | — |
| 391 | C4×C5 | #893 | 1 | 1 | yes | characteristic |
| 392 | C4×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 393 | Dic5 | — | 6 | 2 | no | — |
| 394 | Dic5 | #893 | 1 | 1 | yes | characteristic |
| 395 | Dic5 | C2×#239 | 1 | 1 | yes | characteristic |
| 396 | #41 | — | 3 | 2 | no | — |
| 397 | #41 | — | 15 | 2 | no | — |
| 398 | #41 | — | 15 | 2 | no | — |
| 399 | #41 | — | 15 | 2 | no | — |
| 400 | #41 | — | 30 | 2 | no | — |
| 401 | #41 | — | 30 | 2 | no | — |
| 402 | C2×Q8 | — | 15 | 2 | no | — |
| 403 | C2×D4 | — | 15 | 2 | no | — |
| 404 | C2×D4 | — | 30 | 2 | no | — |
| 405 | C22×C4 | — | 5 | 1 | no | — |
| 406 | C22×C4 | — | 15 | 2 | no | — |
| 407 | C22×C4 | — | 30 | 2 | no | — |
| 408 | C22×C4 | — | 30 | 4 | no | — |
| 409 | Q16 | — | 3 | 1 | no | — |
| 410 | Q16 | — | 15 | 2 | no | — |
| 411 | Q16 | — | 15 | 1 | no | — |
| 412 | SD16 | — | 3 | 2 | no | — |
| 413 | SD16 | — | 15 | 2 | no | — |
| 414 | SD16 | — | 15 | 2 | no | — |
| 415 | SD16 | — | 15 | 2 | no | — |
| 416 | D8 | — | 3 | 1 | no | — |
| 417 | D8 | — | 15 | 2 | no | — |
| 418 | D8 | — | 15 | 1 | no | — |
| 419 | C2×C8 | — | 5 | 1 | no | — |
| 420 | C2×C8 | — | 5 | 1 | no | — |
| 421 | C2×C8 | — | 5 | 1 | no | — |
| 422 | C2×C8 | — | 5 | 1 | no | — |
| 423 | C2×C8 | — | 5 | 1 | no | — |
| 424 | C2×C8 | — | 15 | 2 | no | — |
| 425 | C2×C8 | — | 30 | 1 | no | — |
| 426 | C2×C8 | — | 30 | 1 | no | — |
| 427 | C2×C8 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 428 | C4⋊C4 | — | 5 | 4 | no | — |
| 429 | C4⋊C4 | — | 30 | 4 | no | — |
| 430 | C22⋊C4 | — | 10 | 2 | no | — |
| 431 | C22⋊C4 | — | 30 | 4 | no | — |
| 432 | C42 | — | 10 | 2 | no | — |
| 433 | C42 | — | 15 | 2 | no | — |
| 434 | C42 | — | 15 | 1 | no | — |
| 435 | C42 | — | 15 | 1 | no | — |
| 436 | C42 | — | 30 | 4 | no | — |
| 437 | C3×C5 | C4×#135 | 1 | 1 | yes | characteristic, complemented, Hall |
| 438 | C22×C3 | — | 5 | 1 | no | — |
| 439 | C22×C3 | — | 5 | 1 | no | — |
| 440 | C22×C3 | — | 10 | 2 | no | — |
| 441 | C22×C3 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 442 | C2×D3 | — | 2 | 2 | no | — |
| 443 | C2×D3 | — | 10 | 2 | no | — |
| 444 | C2×D3 | — | 20 | 4 | no | — |
| 445 | C3×C4 | — | 5 | 1 | no | — |
| 446 | C3×C4 | — | 5 | 1 | no | — |
| 447 | C3×C4 | — | 20 | 4 | no | — |
| 448 | C3×C4 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 449 | C3×C4 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 450 | Dic3 | — | 2 | 2 | no | — |
| 451 | Dic3 | — | 5 | 4 | no | — |
| 452 | Dic3 | — | 10 | 2 | no | — |
| 453 | Dic3 | — | 10 | 2 | no | — |
| 454 | C2×C5 | — | 2 | 1 | no | — |
| 455 | C2×C5 | — | 12 | 2 | no | — |
| 456 | C2×C5 | C2×#893 | 1 | 1 | yes | characteristic |
| 457 | D5 | — | 2 | 1 | no | — |
| 458 | D5 | — | 12 | 2 | no | — |
| 459 | D5 | D3×#135 | 1 | 2 | yes | — |
| 460 | C23 | — | 5 | 1 | no | — |
| 461 | C23 | — | 30 | 2 | no | — |
| 462 | Q8 | — | 3 | 2 | no | — |
| 463 | Q8 | — | 15 | 2 | no | — |
| 464 | Q8 | — | 30 | 2 | no | — |
| 465 | D4 | — | 3 | 2 | no | — |
| 466 | D4 | — | 6 | 2 | no | — |
| 467 | D4 | — | 15 | 2 | no | — |
| 468 | D4 | — | 30 | 2 | no | — |
| 469 | D4 | — | 30 | 2 | no | — |
| 470 | D4 | — | 30 | 2 | no | — |
| 471 | D4 | — | 30 | 2 | no | — |
| 472 | C2×C4 | — | 5 | 1 | no | — |
| 473 | C2×C4 | — | 5 | 1 | no | — |
| 474 | C2×C4 | — | 5 | 1 | no | — |
| 475 | C2×C4 | — | 5 | 1 | no | — |
| 476 | C2×C4 | — | 5 | 1 | no | — |
| 477 | C2×C4 | — | 6 | 2 | no | — |
| 478 | C2×C4 | — | 10 | 4 | no | — |
| 479 | C2×C4 | — | 15 | 2 | no | — |
| 480 | C2×C4 | — | 15 | 2 | no | — |
| 481 | C2×C4 | — | 30 | 2 | no | — |
| 482 | C2×C4 | — | 30 | 2 | no | — |
| 483 | C2×C4 | — | 30 | 2 | no | — |
| 484 | C2×C4 | — | 30 | 4 | no | — |
| 485 | C2×C4 | — | 30 | 2 | no | — |
| 486 | C2×C4 | — | 60 | 8 | no | — |
| 487 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 488 | C8 | — | 5 | 1 | no | — |
| 489 | C8 | — | 5 | 1 | no | — |
| 490 | C8 | — | 30 | 2 | no | — |
| 491 | C8 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 492 | C8 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 493 | C2×C3 | — | 2 | 1 | no | — |
| 494 | C2×C3 | — | 5 | 2 | no | — |
| 495 | C2×C3 | — | 10 | 1 | no | — |
| 496 | C2×C3 | C2×D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 497 | D3 | — | 4 | 2 | no | — |
| 498 | D3 | — | 20 | 2 | no | — |
| 499 | C5 | #79165 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 500 | C22 | — | 5 | 1 | no | — |
| 501 | C22 | — | 5 | 1 | no | — |
| 502 | C22 | — | 6 | 2 | no | — |
| 503 | C22 | — | 10 | 2 | no | — |
| 504 | C22 | — | 30 | 2 | no | — |
| 505 | C22 | — | 60 | 4 | no | — |
| 506 | C22 | #91921 | 1 | 1 | yes | characteristic |
| 507 | C4 | — | 5 | 1 | no | — |
| 508 | C4 | — | 5 | 1 | no | — |
| 509 | C4 | — | 6 | 2 | no | — |
| 510 | C4 | — | 15 | 4 | no | — |
| 511 | C4 | — | 20 | 4 | no | — |
| 512 | C4 | — | 30 | 2 | no | — |
| 513 | C4 | — | 30 | 2 | no | — |
| 514 | C4 | #91921 | 1 | 1 | yes | characteristic |
| 515 | C4 | C22×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 516 | C3 | AGL(1,𝔽5)×#135 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 517 | C2 | — | 2 | 1 | no | — |
| 518 | C2 | — | 5 | 2 | no | — |
| 519 | C2 | — | 10 | 1 | no | — |
| 520 | C2 | — | 12 | 2 | no | — |
| 521 | C2 | — | 60 | 2 | no | — |
| 522 | C2 | C2×#91921 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta