| 1 | C7×#1009 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C7×#1004 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×C7×AGL(1,ℤ/8) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C7×#950 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×C7×#213 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C7×#916 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C7×#914 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | C7×#911 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | D3×C7×D8 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C7×#908 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C7×#907 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C7×#576 | — | 3 | 1 | no | maximal, Hall |
| 13 | C3×C7×#41 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | C2×C3×C7×D4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | C2×C7×#67 | — | 2 | 2 | no | — |
| 16 | C7×#239 | C22 | 1 | 2 | yes | complemented |
| 17 | C7×#237 | — | 2 | 1 | no | — |
| 18 | C7×#237 | C22 | 1 | 2 | yes | complemented |
| 19 | D3×C7×D4 | — | 2 | 2 | no | — |
| 20 | D3×C7×D4 | — | 2 | 1 | no | — |
| 21 | D3×C7×D4 | C22 | 1 | 2 | yes | complemented |
| 22 | D3×C7×D4 | C22 | 1 | 2 | yes | complemented |
| 23 | C7×#235 | — | 2 | 1 | no | — |
| 24 | C7×#235 | C22 | 1 | 1 | yes | characteristic |
| 25 | C7×#235 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×C7×D12 | — | 2 | 1 | no | — |
| 27 | C2×C7×D12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C3×C7×SD16 | C22 | 1 | 2 | yes | complemented |
| 29 | C3×C7×D8 | C22 | 1 | 2 | yes | complemented |
| 30 | C3×C7×M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C7×#216 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C7×#215 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C7×#214 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C7×#213 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C7×#213 | C22 | 1 | 2 | yes | complemented |
| 36 | C7×#213 | C22 | 1 | 2 | yes | complemented |
| 37 | C2×C7×C3⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C7×D24 | C22 | 1 | 2 | yes | complemented |
| 39 | C7×#204 | C22 | 1 | 2 | yes | complemented |
| 40 | C7×ΓL(1,𝔽25) | C22 | 1 | 2 | yes | complemented |
| 41 | D3×C7×C8 | C22 | 1 | 2 | yes | complemented |
| 42 | C7×H(5,𝔽2) | — | 3 | 1 | no | — |
| 43 | C7×H(5,𝔽2) | — | 3 | 1 | no | — |
| 44 | C7×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 45 | C7×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 46 | C7×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 47 | C7×AGL(1,ℤ/8) | D3 | 1 | 1 | yes | characteristic, complemented |
| 48 | C7×#135 | — | 3 | 1 | no | — |
| 49 | C7×#135 | — | 3 | 2 | no | — |
| 50 | C2×C7×D8 | — | 3 | 1 | no | — |
| 51 | C2×C7×D8 | — | 3 | 2 | no | — |
| 52 | C7×#131 | — | 3 | 1 | no | — |
| 53 | #5774 | C7 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 54 | C23×C3×C7 | — | 2 | 1 | no | — |
| 55 | C22×D3×C7 | — | 2 | 1 | no | — |
| 56 | C22×D3×C7 | — | 2 | 2 | no | — |
| 57 | C22×D3×C7 | — | 2 | 2 | no | — |
| 58 | C3×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 59 | C3×C7×D4 | — | 2 | 1 | no | — |
| 60 | C3×C7×D4 | — | 2 | 1 | no | — |
| 61 | C3×C7×D4 | C23 | 1 | 2 | yes | — |
| 62 | C3×C7×D4 | C23 | 1 | 1 | yes | characteristic |
| 63 | C2×C3×C4×C7 | — | 2 | 1 | no | — |
| 64 | C2×C3×C4×C7 | C23 | 1 | 1 | yes | characteristic |
| 65 | C7×#67 | — | 2 | 1 | no | — |
| 66 | C7×#67 | — | 2 | 2 | no | — |
| 67 | C7×#67 | — | 2 | 2 | no | — |
| 68 | C7×#67 | — | 2 | 2 | no | — |
| 69 | C7×#67 | D4 | 1 | 2 | yes | — |
| 70 | C2×C7×Dic3 | — | 2 | 2 | no | — |
| 71 | C7×D12 | — | 2 | 2 | no | — |
| 72 | C7×D12 | — | 2 | 1 | no | — |
| 73 | C7×D12 | D4 | 1 | 1 | yes | characteristic |
| 74 | C7×D12 | C23 | 1 | 2 | yes | — |
| 75 | C7×D12 | C23 | 1 | 1 | yes | characteristic |
| 76 | C4×D3×C7 | — | 2 | 1 | no | — |
| 77 | C4×D3×C7 | — | 2 | 2 | no | — |
| 78 | C4×D3×C7 | C23 | 1 | 2 | yes | — |
| 79 | C7×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 80 | C7×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 81 | C3×C7×C8 | C23 | 1 | 2 | yes | — |
| 82 | C7×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 83 | C7×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 84 | C7×#41 | — | 3 | 1 | no | — |
| 85 | C7×#41 | — | 3 | 2 | no | — |
| 86 | C7×#41 | — | 3 | 2 | no | — |
| 87 | C7×#41 | — | 3 | 1 | no | — |
| 88 | C7×#41 | — | 6 | 1 | no | — |
| 89 | C7×#41 | — | 6 | 1 | no | — |
| 90 | C7×#41 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 91 | C2×C7×D4 | — | 3 | 2 | no | — |
| 92 | C2×C7×D4 | — | 3 | 2 | no | — |
| 93 | C2×C7×D4 | — | 3 | 1 | no | — |
| 94 | C2×C7×D4 | — | 6 | 1 | no | — |
| 95 | C2×C7×D4 | — | 6 | 2 | no | — |
| 96 | C2×C7×D4 | — | 6 | 1 | no | — |
| 97 | C2×C7×D4 | — | 6 | 2 | no | — |
| 98 | C2×C7×D4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 99 | C7×Q16 | — | 3 | 1 | no | — |
| 100 | C7×SD16 | — | 3 | 1 | no | — |
| 101 | C7×SD16 | — | 3 | 1 | no | — |
| 102 | C7×SD16 | — | 3 | 2 | no | — |
| 103 | C7×SD16 | C2×D3 | 1 | 2 | yes | complemented |
| 104 | C7×D8 | — | 3 | 2 | no | — |
| 105 | C7×D8 | — | 3 | 1 | no | — |
| 106 | C7×D8 | — | 3 | 2 | no | — |
| 107 | C7×D8 | — | 3 | 2 | no | — |
| 108 | C7×D8 | C2×D3 | 1 | 2 | yes | complemented |
| 109 | C7×M16 | — | 3 | 2 | no | — |
| 110 | C7×M16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 111 | C2×C7×C8 | — | 3 | 1 | no | — |
| 112 | C2×C7×C8 | — | 3 | 2 | no | — |
| 113 | #1009 | C2×C7 | 1 | 1 | yes | characteristic, complemented |
| 114 | #1004 | C2×C7 | 1 | 1 | yes | characteristic, complemented |
| 115 | C3×AGL(1,ℤ/8) | C2×C7 | 1 | 1 | yes | characteristic, complemented |
| 116 | #950 | C2×C7 | 1 | 1 | yes | characteristic, complemented |
| 117 | C2×#213 | C2×C7 | 1 | 1 | yes | characteristic, complemented |
| 118 | #916 | C2×C7 | 1 | 2 | yes | complemented |
| 119 | #914 | C2×C7 | 1 | 2 | yes | complemented |
| 120 | #911 | C2×C7 | 1 | 2 | yes | complemented |
| 121 | D3×D8 | C2×C7 | 1 | 2 | yes | complemented |
| 122 | #908 | C2×C7 | 1 | 1 | yes | characteristic, complemented |
| 123 | #907 | C2×C7 | 1 | 1 | yes | characteristic, complemented |
| 124 | C22×C3×C7 | — | 2 | 2 | no | — |
| 125 | C22×C3×C7 | — | 2 | 1 | no | — |
| 126 | C22×C3×C7 | — | 8 | 1 | no | — |
| 127 | C22×C3×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C2×D3×C7 | — | 2 | 2 | no | — |
| 129 | C2×D3×C7 | — | 2 | 1 | no | — |
| 130 | C2×D3×C7 | — | 8 | 2 | no | — |
| 131 | C2×D3×C7 | — | 8 | 2 | no | — |
| 132 | C2×D3×C7 | — | 8 | 1 | no | — |
| 133 | C2×D3×C7 | C2×D4 | 1 | 2 | yes | — |
| 134 | C3×C4×C7 | — | 2 | 1 | no | — |
| 135 | C3×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 136 | C3×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 137 | C7×Dic3 | — | 2 | 1 | no | — |
| 138 | C7×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 139 | #576 | — | 3 | 1 | no | Sylow |
| 140 | C23×C7 | — | 2 | 1 | no | — |
| 141 | C23×C7 | — | 6 | 2 | no | — |
| 142 | C23×C7 | — | 6 | 2 | no | — |
| 143 | C23×C7 | — | 6 | 1 | no | — |
| 144 | C7×Q8 | — | 3 | 1 | no | — |
| 145 | C7×Q8 | — | 3 | 1 | no | — |
| 146 | C7×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 147 | C7×D4 | — | 2 | 1 | no | — |
| 148 | C7×D4 | — | 2 | 1 | no | — |
| 149 | C7×D4 | — | 3 | 2 | no | — |
| 150 | C7×D4 | — | 3 | 1 | no | — |
| 151 | C7×D4 | — | 3 | 2 | no | — |
| 152 | C7×D4 | — | 3 | 1 | no | — |
| 153 | C7×D4 | — | 6 | 2 | no | — |
| 154 | C7×D4 | — | 6 | 2 | no | — |
| 155 | C7×D4 | — | 6 | 2 | no | — |
| 156 | C7×D4 | — | 6 | 2 | no | — |
| 157 | C7×D4 | — | 6 | 1 | no | — |
| 158 | C7×D4 | — | 6 | 1 | no | — |
| 159 | C7×D4 | C22×D3 | 1 | 2 | yes | — |
| 160 | C7×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 161 | C2×C4×C7 | — | 2 | 1 | no | — |
| 162 | C2×C4×C7 | — | 3 | 2 | no | — |
| 163 | C2×C4×C7 | — | 6 | 2 | no | — |
| 164 | C2×C4×C7 | — | 6 | 2 | no | — |
| 165 | C2×C4×C7 | — | 6 | 1 | no | — |
| 166 | C2×C4×C7 | C22×D3 | 1 | 1 | yes | characteristic |
| 167 | C7×C8 | — | 3 | 1 | no | — |
| 168 | C7×C8 | — | 3 | 1 | no | — |
| 169 | C7×C8 | C22×D3 | 1 | 2 | yes | — |
| 170 | C3×#41 | C22×C7 | 1 | 1 | yes | characteristic, complemented |
| 171 | C2×C3×D4 | C22×C7 | 1 | 1 | yes | characteristic, complemented |
| 172 | C2×#67 | — | 2 | 2 | no | — |
| 173 | #239 | C22×C7 | 1 | 2 | yes | complemented |
| 174 | #237 | — | 2 | 1 | no | — |
| 175 | #237 | C22×C7 | 1 | 2 | yes | complemented |
| 176 | D3×D4 | — | 2 | 2 | no | — |
| 177 | D3×D4 | — | 2 | 1 | no | — |
| 178 | D3×D4 | C22×C7 | 1 | 2 | yes | complemented |
| 179 | D3×D4 | C22×C7 | 1 | 2 | yes | complemented |
| 180 | #235 | — | 2 | 1 | no | — |
| 181 | #235 | C22×C7 | 1 | 1 | yes | characteristic |
| 182 | #235 | C22×C7 | 1 | 1 | yes | characteristic, complemented |
| 183 | C2×D12 | — | 2 | 1 | no | — |
| 184 | C2×D12 | C22×C7 | 1 | 1 | yes | characteristic, complemented |
| 185 | C3×SD16 | C22×C7 | 1 | 2 | yes | complemented |
| 186 | C3×D8 | C22×C7 | 1 | 2 | yes | complemented |
| 187 | C3×M16 | C22×C7 | 1 | 1 | yes | characteristic, complemented |
| 188 | #216 | C22×C7 | 1 | 1 | yes | characteristic, complemented |
| 189 | #215 | C22×C7 | 1 | 1 | yes | characteristic, complemented |
| 190 | #214 | C22×C7 | 1 | 1 | yes | characteristic, complemented |
| 191 | #213 | C22×C7 | 1 | 1 | yes | characteristic, complemented |
| 192 | #213 | C22×C7 | 1 | 2 | yes | complemented |
| 193 | #213 | C22×C7 | 1 | 2 | yes | complemented |
| 194 | C2×C3⋊C8 | C22×C7 | 1 | 1 | yes | characteristic, complemented |
| 195 | D24 | C22×C7 | 1 | 2 | yes | complemented |
| 196 | #204 | C22×C7 | 1 | 2 | yes | complemented |
| 197 | ΓL(1,𝔽25) | C22×C7 | 1 | 2 | yes | complemented |
| 198 | D3×C8 | C22×C7 | 1 | 2 | yes | complemented |
| 199 | C2×C3×C7 | — | 2 | 1 | no | — |
| 200 | C2×C3×C7 | — | 4 | 1 | no | — |
| 201 | C2×C3×C7 | — | 4 | 2 | no | — |
| 202 | C2×C3×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 203 | D3×C7 | — | 2 | 2 | no | — |
| 204 | D3×C7 | — | 4 | 2 | no | — |
| 205 | D3×C7 | — | 4 | 1 | no | — |
| 206 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 207 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 208 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 209 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 210 | AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 211 | AGL(1,ℤ/8) | D3×C7 | 1 | 1 | yes | characteristic, complemented |
| 212 | #135 | — | 3 | 1 | no | — |
| 213 | #135 | — | 3 | 2 | no | — |
| 214 | C2×D8 | — | 3 | 1 | no | — |
| 215 | C2×D8 | — | 3 | 2 | no | — |
| 216 | #131 | — | 3 | 1 | no | — |
| 217 | C22×C7 | — | 2 | 1 | no | — |
| 218 | C22×C7 | — | 2 | 2 | no | — |
| 219 | C22×C7 | — | 3 | 2 | no | — |
| 220 | C22×C7 | — | 6 | 2 | no | — |
| 221 | C22×C7 | — | 6 | 1 | no | — |
| 222 | C22×C7 | — | 8 | 1 | no | — |
| 223 | C22×C7 | — | 24 | 1 | no | — |
| 224 | C22×C7 | — | 24 | 2 | no | — |
| 225 | C22×C7 | — | 24 | 2 | no | — |
| 226 | C22×C7 | D3×D4 | 1 | 1 | yes | characteristic |
| 227 | C4×C7 | — | 2 | 1 | no | — |
| 228 | C4×C7 | — | 3 | 2 | no | — |
| 229 | C4×C7 | — | 6 | 1 | no | — |
| 230 | C4×C7 | D3×D4 | 1 | 1 | yes | characteristic |
| 231 | C4×C7 | C23×D3 | 1 | 1 | yes | characteristic |
| 232 | C23×C3 | — | 2 | 1 | no | — |
| 233 | C22×D3 | — | 2 | 1 | no | — |
| 234 | C22×D3 | — | 2 | 2 | no | — |
| 235 | C22×D3 | — | 2 | 2 | no | — |
| 236 | C3×Q8 | C23×C7 | 1 | 1 | yes | characteristic |
| 237 | C3×D4 | — | 2 | 1 | no | — |
| 238 | C3×D4 | — | 2 | 1 | no | — |
| 239 | C3×D4 | C23×C7 | 1 | 2 | yes | — |
| 240 | C3×D4 | C23×C7 | 1 | 1 | yes | characteristic |
| 241 | C2×C3×C4 | — | 2 | 1 | no | — |
| 242 | C2×C3×C4 | C23×C7 | 1 | 1 | yes | characteristic |
| 243 | #67 | — | 2 | 1 | no | — |
| 244 | #67 | — | 2 | 2 | no | — |
| 245 | #67 | — | 2 | 2 | no | — |
| 246 | #67 | — | 2 | 2 | no | — |
| 247 | #67 | C7×D4 | 1 | 2 | yes | — |
| 248 | C2×Dic3 | — | 2 | 2 | no | — |
| 249 | D12 | — | 2 | 2 | no | — |
| 250 | D12 | — | 2 | 1 | no | — |
| 251 | D12 | C7×D4 | 1 | 1 | yes | characteristic |
| 252 | D12 | C23×C7 | 1 | 2 | yes | — |
| 253 | D12 | C23×C7 | 1 | 1 | yes | characteristic |
| 254 | C4×D3 | — | 2 | 1 | no | — |
| 255 | C4×D3 | — | 2 | 2 | no | — |
| 256 | C4×D3 | C23×C7 | 1 | 2 | yes | — |
| 257 | Dic6 | C7×D4 | 1 | 1 | yes | characteristic |
| 258 | Dic6 | C23×C7 | 1 | 1 | yes | characteristic |
| 259 | C3×C8 | C23×C7 | 1 | 2 | yes | — |
| 260 | C3⋊C8 | C23×C7 | 1 | 1 | yes | characteristic |
| 261 | C3⋊C8 | C23×C7 | 1 | 1 | yes | characteristic |
| 262 | C3×C7 | #576 | 1 | 1 | yes | characteristic, complemented, Hall |
| 263 | #41 | — | 3 | 1 | no | — |
| 264 | #41 | — | 3 | 2 | no | — |
| 265 | #41 | — | 3 | 2 | no | — |
| 266 | #41 | — | 3 | 1 | no | — |
| 267 | #41 | — | 6 | 1 | no | — |
| 268 | #41 | — | 6 | 1 | no | — |
| 269 | #41 | C2×D3×C7 | 1 | 1 | yes | characteristic, complemented |
| 270 | C2×D4 | — | 3 | 2 | no | — |
| 271 | C2×D4 | — | 3 | 2 | no | — |
| 272 | C2×D4 | — | 3 | 1 | no | — |
| 273 | C2×D4 | — | 6 | 1 | no | — |
| 274 | C2×D4 | — | 6 | 2 | no | — |
| 275 | C2×D4 | — | 6 | 1 | no | — |
| 276 | C2×D4 | — | 6 | 2 | no | — |
| 277 | C2×D4 | C2×D3×C7 | 1 | 1 | yes | characteristic, complemented |
| 278 | Q16 | — | 3 | 1 | no | — |
| 279 | SD16 | — | 3 | 1 | no | — |
| 280 | SD16 | — | 3 | 1 | no | — |
| 281 | SD16 | — | 3 | 2 | no | — |
| 282 | SD16 | C2×D3×C7 | 1 | 2 | yes | complemented |
| 283 | D8 | — | 3 | 2 | no | — |
| 284 | D8 | — | 3 | 1 | no | — |
| 285 | D8 | — | 3 | 2 | no | — |
| 286 | D8 | — | 3 | 2 | no | — |
| 287 | D8 | C2×D3×C7 | 1 | 2 | yes | complemented |
| 288 | M16 | — | 3 | 2 | no | — |
| 289 | M16 | C2×D3×C7 | 1 | 1 | yes | characteristic, complemented |
| 290 | C2×C8 | — | 3 | 1 | no | — |
| 291 | C2×C8 | — | 3 | 2 | no | — |
| 292 | C2×C7 | — | 2 | 1 | no | — |
| 293 | C2×C7 | — | 4 | 2 | no | — |
| 294 | C2×C7 | — | 4 | 1 | no | — |
| 295 | C2×C7 | — | 6 | 2 | no | — |
| 296 | C2×C7 | — | 12 | 2 | no | — |
| 297 | C2×C7 | — | 12 | 1 | no | — |
| 298 | C2×C7 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 299 | C22×C3 | — | 2 | 2 | no | — |
| 300 | C22×C3 | — | 2 | 1 | no | — |
| 301 | C22×C3 | — | 8 | 1 | no | — |
| 302 | C22×C3 | C2×C7×D4 | 1 | 1 | yes | characteristic |
| 303 | C2×D3 | — | 2 | 2 | no | — |
| 304 | C2×D3 | — | 2 | 1 | no | — |
| 305 | C2×D3 | — | 8 | 2 | no | — |
| 306 | C2×D3 | — | 8 | 2 | no | — |
| 307 | C2×D3 | — | 8 | 1 | no | — |
| 308 | C2×D3 | C2×C7×D4 | 1 | 2 | yes | — |
| 309 | C3×C4 | — | 2 | 1 | no | — |
| 310 | C3×C4 | C2×C7×D4 | 1 | 1 | yes | characteristic |
| 311 | C3×C4 | C24×C7 | 1 | 1 | yes | characteristic |
| 312 | Dic3 | — | 2 | 1 | no | — |
| 313 | Dic3 | C2×C7×D4 | 1 | 2 | yes | — |
| 314 | C23 | — | 2 | 1 | no | — |
| 315 | C23 | — | 6 | 2 | no | — |
| 316 | C23 | — | 6 | 2 | no | — |
| 317 | C23 | — | 6 | 1 | no | — |
| 318 | Q8 | — | 3 | 1 | no | — |
| 319 | Q8 | — | 3 | 1 | no | — |
| 320 | Q8 | C22×D3×C7 | 1 | 1 | yes | characteristic |
| 321 | D4 | — | 2 | 1 | no | — |
| 322 | D4 | — | 2 | 1 | no | — |
| 323 | D4 | — | 3 | 2 | no | — |
| 324 | D4 | — | 3 | 1 | no | — |
| 325 | D4 | — | 3 | 2 | no | — |
| 326 | D4 | — | 3 | 1 | no | — |
| 327 | D4 | — | 6 | 2 | no | — |
| 328 | D4 | — | 6 | 2 | no | — |
| 329 | D4 | — | 6 | 2 | no | — |
| 330 | D4 | — | 6 | 2 | no | — |
| 331 | D4 | — | 6 | 1 | no | — |
| 332 | D4 | — | 6 | 1 | no | — |
| 333 | D4 | C22×D3×C7 | 1 | 2 | yes | — |
| 334 | D4 | C22×D3×C7 | 1 | 1 | yes | characteristic |
| 335 | C2×C4 | — | 2 | 1 | no | — |
| 336 | C2×C4 | — | 3 | 2 | no | — |
| 337 | C2×C4 | — | 6 | 2 | no | — |
| 338 | C2×C4 | — | 6 | 2 | no | — |
| 339 | C2×C4 | — | 6 | 1 | no | — |
| 340 | C2×C4 | C22×D3×C7 | 1 | 1 | yes | characteristic |
| 341 | C8 | — | 3 | 1 | no | — |
| 342 | C8 | — | 3 | 1 | no | — |
| 343 | C8 | C22×D3×C7 | 1 | 2 | yes | — |
| 344 | C7 | #5774 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 345 | C2×C3 | — | 2 | 1 | no | — |
| 346 | C2×C3 | — | 4 | 1 | no | — |
| 347 | C2×C3 | — | 4 | 2 | no | — |
| 348 | C2×C3 | C22×C7×D4 | 1 | 1 | yes | characteristic |
| 349 | D3 | — | 2 | 2 | no | — |
| 350 | D3 | — | 4 | 2 | no | — |
| 351 | D3 | — | 4 | 1 | no | — |
| 352 | C22 | — | 2 | 1 | no | — |
| 353 | C22 | — | 2 | 2 | no | — |
| 354 | C22 | — | 3 | 2 | no | — |
| 355 | C22 | — | 6 | 2 | no | — |
| 356 | C22 | — | 6 | 1 | no | — |
| 357 | C22 | — | 8 | 1 | no | — |
| 358 | C22 | — | 24 | 1 | no | — |
| 359 | C22 | — | 24 | 2 | no | — |
| 360 | C22 | — | 24 | 2 | no | — |
| 361 | C22 | D3×C7×D4 | 1 | 1 | yes | characteristic |
| 362 | C4 | — | 2 | 1 | no | — |
| 363 | C4 | — | 3 | 2 | no | — |
| 364 | C4 | — | 6 | 1 | no | — |
| 365 | C4 | D3×C7×D4 | 1 | 1 | yes | characteristic |
| 366 | C4 | C23×D3×C7 | 1 | 1 | yes | characteristic |
| 367 | C3 | C7×#576 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 368 | C2 | — | 2 | 1 | no | — |
| 369 | C2 | — | 4 | 2 | no | — |
| 370 | C2 | — | 4 | 1 | no | — |
| 371 | C2 | — | 6 | 2 | no | — |
| 372 | C2 | — | 12 | 2 | no | — |
| 373 | C2 | — | 12 | 1 | no | — |
| 374 | C2 | C2×D3×C7×D4 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta