| 1 | C2×C3×D3×AGL(1,𝔽7) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×C3×D3×AGL(1,𝔽7) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #92695⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #92688⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #92688⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | ΓL(1,𝔽8)×#625 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3⋊Dic3×AGL(1,𝔽7) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | D7×#625 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #67×AGL(1,𝔽7) | — | 3 | 1 | no | maximal |
| 10 | #67×AGL(1,𝔽7) | — | 3 | 1 | no | maximal |
| 11 | C2×C3×C3⋊AGL(1,𝔽7) | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | C2×C3×C3⋊AGL(1,𝔽7) | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | C2×C3×D3×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | C2×C3×D3×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | C2×C32×AGL(1,𝔽7) | C22 | 1 | 1 | yes | characteristic |
| 16 | C3×D3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 17 | C3×D3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 18 | C3⋊(C3⋊(ΓL(1,𝔽8)⋊C4)) | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | ΓL(1,𝔽8)×C3⋊Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C2×C3×D3×D7 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×C3×D3×D7 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 22 | C22×C3×AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 23 | C22×C3×AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 24 | C2×D3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 25 | C2×D3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 26 | C2×D3×AGL(1,𝔽7) | D3 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×D3×AGL(1,𝔽7) | D3 | 1 | 1 | yes | characteristic, complemented |
| 28 | #92695 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 29 | #92688 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 30 | #92688 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 31 | C7×#625 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 32 | D7×C3⋊Dic3 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 33 | #4268⋊C3 | — | 3 | 1 | no | — |
| 34 | #4268⋊C3 | — | 3 | 1 | no | — |
| 35 | ΓL(1,𝔽8)×#67 | — | 3 | 1 | no | — |
| 36 | ΓL(1,𝔽8)×#67 | — | 3 | 1 | no | — |
| 37 | #4246⋊C3 | — | 3 | 1 | no | — |
| 38 | #4246⋊C3 | — | 3 | 1 | no | — |
| 39 | #4245⋊C3 | — | 3 | 1 | no | — |
| 40 | #4245⋊C3 | — | 3 | 1 | no | — |
| 41 | Dic3×AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 42 | Dic3×AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 43 | Dic3×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 44 | C2×C3×#625 | — | 7 | 1 | no | maximal, Hall |
| 45 | C2×C32×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 46 | C3×C3⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 47 | C3×C3⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 48 | C3×D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 49 | C3×D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 50 | C32×AGL(1,𝔽7) | D4 | 1 | 2 | yes | complemented |
| 51 | D7×#67 | — | 3 | 1 | no | — |
| 52 | D7×#67 | — | 3 | 1 | no | — |
| 53 | D4×AGL(1,𝔽7) | — | 9 | 1 | no | — |
| 54 | C2×C3×D21 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 55 | C2×C3×D21 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 56 | C2×C3×D3×C7 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 57 | C2×C3×D3×C7 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 58 | C2×C32×D7 | C22×C3 | 1 | 1 | yes | characteristic |
| 59 | C22×C3×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 60 | C22×C3×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 61 | C3×D3×D7 | — | 2 | 2 | no | — |
| 62 | C3×D3×D7 | — | 2 | 2 | no | — |
| 63 | C2×C3⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 64 | C2×C3⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 65 | C2×C3⋊AGL(1,𝔽7) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 66 | C2×C3⋊AGL(1,𝔽7) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 67 | C2×D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 68 | C2×D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 69 | C2×D3×ΓL(1,𝔽8) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 70 | C2×D3×ΓL(1,𝔽8) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 71 | C2×C3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 72 | C2×C3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 73 | C2×C3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 74 | C2×C3×AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 75 | C2×C3×AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 76 | C2×C3×AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 77 | C2×C3×AGL(1,𝔽7) | — | 6 | 2 | no | — |
| 78 | C2×C3×AGL(1,𝔽7) | — | 6 | 2 | no | — |
| 79 | C2×C3×AGL(1,𝔽7) | C2×D3 | 1 | 1 | yes | characteristic |
| 80 | C2×C3×AGL(1,𝔽7) | C2×D3 | 1 | 1 | yes | characteristic |
| 81 | D3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 82 | D3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 83 | D3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 84 | D3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 85 | D3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 86 | D3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 87 | C3⋊Dic21 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 88 | C7×C3⋊Dic3 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 89 | C3⋊(ΓL(1,𝔽8)⋊C4) | — | 3 | 1 | no | — |
| 90 | C3⋊(ΓL(1,𝔽8)⋊C4) | — | 3 | 1 | no | — |
| 91 | C3⋊(ΓL(1,𝔽8)⋊C4) | — | 6 | 1 | no | — |
| 92 | Dic3×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 93 | Dic3×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 94 | Dic3×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 95 | C22×C32×D3 | — | 7 | 1 | no | — |
| 96 | C22×C32×D3 | — | 7 | 1 | no | — |
| 97 | C2×C3×C3⋊Dic3 | — | 7 | 1 | no | — |
| 98 | C3×#625 | — | 7 | 1 | no | — |
| 99 | C3×#625 | — | 7 | 1 | no | — |
| 100 | C3×#625 | — | 7 | 1 | no | — |
| 101 | C3×#625 | — | 14 | 1 | no | — |
| 102 | C32×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 103 | C22×C3×D7 | — | 3 | 1 | no | — |
| 104 | C22×C3×D7 | — | 3 | 1 | no | — |
| 105 | C2×D3×D7 | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 106 | C2×D3×D7 | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 107 | C22×AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 108 | C22×AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 109 | C22×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 110 | C22×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 111 | #4268 | — | 3 | 1 | no | — |
| 112 | #4268 | — | 3 | 1 | no | — |
| 113 | C7×#67 | — | 3 | 1 | no | — |
| 114 | C7×#67 | — | 3 | 1 | no | — |
| 115 | D4×ΓL(1,𝔽8) | — | 9 | 1 | no | — |
| 116 | #4246 | — | 3 | 1 | no | — |
| 117 | #4246 | — | 3 | 1 | no | — |
| 118 | #4245 | — | 3 | 1 | no | — |
| 119 | #4245 | — | 3 | 1 | no | — |
| 120 | Dic3×D7 | — | 3 | 1 | no | — |
| 121 | Dic3×D7 | — | 3 | 1 | no | — |
| 122 | Dic3×D7 | — | 6 | 1 | no | — |
| 123 | (C22⋊D7)⋊C3 | — | 9 | 1 | no | — |
| 124 | (C22⋊D7)⋊C3 | — | 9 | 1 | no | — |
| 125 | C4⋊AGL(1,𝔽7) | — | 9 | 1 | no | — |
| 126 | C4×AGL(1,𝔽7) | — | 9 | 1 | no | — |
| 127 | C2×C3×#67 | — | 21 | 1 | no | — |
| 128 | C2×C3×#67 | — | 21 | 1 | no | — |
| 129 | C2×#625 | — | 7 | 1 | no | — |
| 130 | C2×C32×C7 | C23×C3 | 1 | 1 | yes | characteristic |
| 131 | C3×D21 | — | 2 | 1 | no | — |
| 132 | C3×D21 | — | 2 | 1 | no | — |
| 133 | C3×D3×C7 | — | 2 | 1 | no | — |
| 134 | C3×D3×C7 | — | 2 | 1 | no | — |
| 135 | C32×D7 | C3×D4 | 1 | 2 | yes | complemented |
| 136 | C2×C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 137 | C2×C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 138 | C2×C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 139 | C2×C3×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 140 | C2×C3×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 141 | C2×C3×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 142 | C2×C3×ΓL(1,𝔽8) | C22×D3 | 1 | 1 | yes | characteristic |
| 143 | C2×C3×ΓL(1,𝔽8) | C22×D3 | 1 | 1 | yes | characteristic |
| 144 | C3⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 145 | C3⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 146 | C3⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 147 | C3⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 148 | C3⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 149 | C3⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 150 | D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 151 | D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 152 | D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 153 | D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 154 | D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 155 | D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 156 | C3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 157 | C3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 158 | C3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 159 | C3×AGL(1,𝔽7) | — | 4 | 2 | no | — |
| 160 | C3×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 161 | C3×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 162 | C3×AGL(1,𝔽7) | #67 | 1 | 2 | yes | complemented |
| 163 | C3×AGL(1,𝔽7) | #67 | 1 | 2 | yes | complemented |
| 164 | D4×D7 | — | 9 | 1 | no | Hall |
| 165 | C22×C33 | — | 7 | 1 | no | — |
| 166 | C2×C32×D3 | — | 7 | 1 | no | — |
| 167 | C2×C32×D3 | — | 7 | 1 | no | — |
| 168 | C2×C32×D3 | — | 14 | 2 | no | — |
| 169 | C2×C32×D3 | — | 14 | 2 | no | — |
| 170 | C2×C32×D3 | — | 14 | 1 | no | — |
| 171 | C2×C32×D3 | — | 14 | 1 | no | — |
| 172 | C3×C3⋊Dic3 | — | 7 | 1 | no | — |
| 173 | C3×C3⋊Dic3 | — | 14 | 1 | no | — |
| 174 | C22×C3×C7 | — | 3 | 1 | no | — |
| 175 | C22×C3×C7 | — | 3 | 1 | no | — |
| 176 | C2×D21 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 177 | C2×D21 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 178 | C2×D3×C7 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 179 | C2×D3×C7 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 180 | C2×C3×D7 | — | 2 | 1 | no | — |
| 181 | C2×C3×D7 | — | 3 | 1 | no | — |
| 182 | C2×C3×D7 | — | 3 | 1 | no | — |
| 183 | C2×C3×D7 | — | 6 | 2 | no | — |
| 184 | C2×C3×D7 | — | 6 | 2 | no | — |
| 185 | C2×C3×D7 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 186 | C2×C3×D7 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 187 | C22×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 188 | C22×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 189 | C22×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 190 | C22×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 191 | D3×D7 | — | 2 | 2 | no | — |
| 192 | D3×D7 | — | 2 | 2 | no | — |
| 193 | C2×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 194 | C2×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 195 | C2×AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 196 | C2×AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 197 | C2×AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 198 | C2×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 199 | C2×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 200 | C2×AGL(1,𝔽7) | — | 6 | 2 | no | — |
| 201 | C2×AGL(1,𝔽7) | — | 6 | 2 | no | — |
| 202 | C2×AGL(1,𝔽7) | — | 6 | 2 | no | — |
| 203 | C2×AGL(1,𝔽7) | — | 6 | 2 | no | — |
| 204 | C2×AGL(1,𝔽7) | — | 6 | 2 | no | — |
| 205 | C2×AGL(1,𝔽7) | — | 6 | 2 | no | — |
| 206 | C2×AGL(1,𝔽7) | D32 | 1 | 1 | yes | characteristic |
| 207 | Dic21 | — | 3 | 1 | no | — |
| 208 | Dic21 | — | 3 | 1 | no | — |
| 209 | Dic21 | — | 6 | 1 | no | — |
| 210 | C7×Dic3 | — | 3 | 1 | no | — |
| 211 | C7×Dic3 | — | 3 | 1 | no | — |
| 212 | C7×Dic3 | — | 6 | 1 | no | — |
| 213 | C4×ΓL(1,𝔽8) | — | 9 | 1 | no | — |
| 214 | ΓL(1,𝔽8)⋊C4 | — | 9 | 1 | no | — |
| 215 | C23×C32 | — | 21 | 1 | no | — |
| 216 | C23×C32 | — | 21 | 1 | no | — |
| 217 | C22×C3×D3 | — | 7 | 1 | no | — |
| 218 | C22×C3×D3 | — | 7 | 1 | no | — |
| 219 | C22×C3×D3 | — | 7 | 1 | no | — |
| 220 | C22×C3×D3 | — | 7 | 1 | no | — |
| 221 | C22×C3×D3 | — | 14 | 1 | no | — |
| 222 | C22×C3×D3 | — | 14 | 1 | no | — |
| 223 | C2×C3⋊Dic3 | — | 7 | 1 | no | — |
| 224 | C3×#67 | — | 21 | 1 | no | — |
| 225 | C3×#67 | — | 21 | 1 | no | — |
| 226 | C3×#67 | — | 21 | 1 | no | — |
| 227 | C3×#67 | — | 21 | 1 | no | — |
| 228 | C3×#67 | — | 21 | 1 | no | — |
| 229 | C3×#67 | — | 21 | 1 | no | — |
| 230 | C3×#67 | — | 42 | 1 | no | — |
| 231 | C3×#67 | — | 42 | 1 | no | — |
| 232 | C2×C3×Dic3 | — | 21 | 1 | no | — |
| 233 | C2×C3×Dic3 | — | 21 | 1 | no | — |
| 234 | C2×C3×Dic3 | — | 42 | 1 | no | — |
| 235 | #625 | — | 7 | 1 | no | — |
| 236 | #625 | — | 7 | 1 | no | — |
| 237 | #625 | — | 7 | 1 | no | — |
| 238 | #625 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic, direct product factor |
| 239 | C32×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic, complemented |
| 240 | C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 241 | C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 242 | C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 243 | C3×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 244 | C3×ΓL(1,𝔽8) | C2×#67 | 1 | 1 | yes | characteristic, complemented |
| 245 | C3×ΓL(1,𝔽8) | C2×#67 | 1 | 1 | yes | characteristic, complemented |
| 246 | C22×D7 | — | 3 | 1 | no | — |
| 247 | C22×D7 | — | 3 | 1 | no | — |
| 248 | C7×D4 | — | 9 | 1 | no | — |
| 249 | C22⋊D7 | — | 9 | 1 | no | — |
| 250 | C22⋊D7 | — | 9 | 1 | no | — |
| 251 | D28 | — | 9 | 1 | no | — |
| 252 | C4×D7 | — | 9 | 1 | no | — |
| 253 | C2×C33 | — | 7 | 2 | no | — |
| 254 | C2×C33 | — | 14 | 1 | no | — |
| 255 | C32×D3 | — | 14 | 1 | no | — |
| 256 | C32×D3 | — | 14 | 1 | no | — |
| 257 | C32×D3 | — | 28 | 1 | no | — |
| 258 | C32×D3 | — | 28 | 1 | no | — |
| 259 | C2×C3×D4 | — | 63 | 1 | no | — |
| 260 | C2×#67 | — | 21 | 1 | no | — |
| 261 | C2×#67 | — | 21 | 1 | no | — |
| 262 | C2×C3×C7 | — | 2 | 1 | no | — |
| 263 | C2×C3×C7 | — | 6 | 1 | no | — |
| 264 | C2×C3×C7 | — | 6 | 1 | no | — |
| 265 | C2×C3×C7 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 266 | C2×C3×C7 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 267 | D21 | — | 2 | 1 | no | — |
| 268 | D21 | — | 2 | 1 | no | — |
| 269 | C3×D7 | — | 2 | 2 | no | — |
| 270 | C3×D7 | — | 6 | 1 | no | — |
| 271 | C3×D7 | — | 6 | 1 | no | — |
| 272 | C3×D7 | C3×#67 | 1 | 2 | yes | complemented |
| 273 | C3×D7 | C3×#67 | 1 | 2 | yes | complemented |
| 274 | D3×C7 | — | 2 | 1 | no | — |
| 275 | D3×C7 | — | 2 | 1 | no | — |
| 276 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 277 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 278 | C2×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 279 | C2×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 280 | C2×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 281 | C2×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 282 | C2×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 283 | C2×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 284 | C2×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 285 | C2×ΓL(1,𝔽8) | C2×D32 | 1 | 1 | yes | characteristic |
| 286 | AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 287 | AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 288 | AGL(1,𝔽7) | — | 4 | 2 | no | — |
| 289 | AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 290 | AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 291 | AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 292 | AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 293 | AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 294 | AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 295 | AGL(1,𝔽7) | #625 | 1 | 2 | yes | direct product factor |
| 296 | C22×C32 | — | 7 | 1 | no | — |
| 297 | C22×C32 | — | 7 | 1 | no | — |
| 298 | C22×C32 | — | 7 | 1 | no | — |
| 299 | C22×C32 | — | 14 | 1 | no | — |
| 300 | C22×C32 | — | 14 | 1 | no | — |
| 301 | C22×C32 | — | 14 | 1 | no | — |
| 302 | C22×C32 | — | 21 | 1 | no | — |
| 303 | C22×C32 | — | 21 | 1 | no | — |
| 304 | C22×C32 | — | 28 | 1 | no | — |
| 305 | C22×C32 | — | 42 | 1 | no | — |
| 306 | C22×C32 | — | 42 | 1 | no | — |
| 307 | C22×C32 | — | 42 | 2 | no | — |
| 308 | C22×C32 | — | 42 | 2 | no | — |
| 309 | C2×C3×D3 | — | 7 | 1 | no | — |
| 310 | C2×C3×D3 | — | 7 | 1 | no | — |
| 311 | C2×C3×D3 | — | 7 | 1 | no | — |
| 312 | C2×C3×D3 | — | 7 | 1 | no | — |
| 313 | C2×C3×D3 | — | 14 | 1 | no | — |
| 314 | C2×C3×D3 | — | 14 | 1 | no | — |
| 315 | C2×C3×D3 | — | 14 | 2 | no | — |
| 316 | C2×C3×D3 | — | 14 | 2 | no | — |
| 317 | C2×C3×D3 | — | 14 | 2 | no | — |
| 318 | C2×C3×D3 | — | 14 | 2 | no | — |
| 319 | C2×C3×D3 | — | 14 | 2 | no | — |
| 320 | C2×C3×D3 | — | 14 | 2 | no | — |
| 321 | C2×C3×D3 | — | 14 | 2 | no | — |
| 322 | C2×C3×D3 | — | 14 | 2 | no | — |
| 323 | C2×C3×D3 | — | 14 | 1 | no | — |
| 324 | C2×C3×D3 | — | 14 | 1 | no | — |
| 325 | C2×C3×D3 | — | 14 | 1 | no | — |
| 326 | C2×C3×D3 | — | 28 | 1 | no | — |
| 327 | C2×C3×D3 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 328 | C2×C3×D3 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 329 | C3⋊Dic3 | — | 7 | 1 | no | — |
| 330 | C3⋊Dic3 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 331 | C3×Dic3 | — | 21 | 1 | no | — |
| 332 | C3×Dic3 | — | 21 | 1 | no | — |
| 333 | C3×Dic3 | — | 42 | 1 | no | — |
| 334 | C3×Dic3 | — | 42 | 1 | no | — |
| 335 | C3×Dic3 | — | 42 | 1 | no | — |
| 336 | C3×Dic3 | — | 84 | 1 | no | — |
| 337 | C22×C7 | — | 3 | 1 | no | — |
| 338 | C22×C7 | — | 3 | 1 | no | — |
| 339 | C2×D7 | — | 3 | 1 | no | — |
| 340 | C2×D7 | — | 3 | 1 | no | — |
| 341 | C2×D7 | — | 6 | 2 | no | — |
| 342 | C2×D7 | — | 6 | 2 | no | — |
| 343 | C2×D7 | C3×D32 | 1 | 1 | yes | characteristic |
| 344 | C4×C7 | — | 9 | 1 | no | — |
| 345 | Dic7 | — | 9 | 1 | no | — |
| 346 | C33 | — | 14 | 1 | no | Sylow |
| 347 | C23×C3 | — | 21 | 1 | no | — |
| 348 | C23×C3 | — | 21 | 1 | no | — |
| 349 | C23×C3 | — | 21 | 1 | no | — |
| 350 | C23×C3 | — | 21 | 1 | no | — |
| 351 | C23×C3 | — | 42 | 1 | no | — |
| 352 | C23×C3 | — | 42 | 1 | no | — |
| 353 | C22×D3 | — | 7 | 1 | no | — |
| 354 | C22×D3 | — | 7 | 1 | no | — |
| 355 | C3×D4 | — | 63 | 1 | no | — |
| 356 | C3×D4 | — | 63 | 1 | no | — |
| 357 | C3×D4 | — | 63 | 1 | no | — |
| 358 | C3×D4 | — | 126 | 1 | no | — |
| 359 | C2×C3×C4 | — | 63 | 1 | no | — |
| 360 | #67 | — | 3 | 1 | no | — |
| 361 | #67 | — | 3 | 1 | no | — |
| 362 | #67 | — | 21 | 1 | no | — |
| 363 | #67 | — | 21 | 1 | no | — |
| 364 | #67 | — | 21 | 1 | no | — |
| 365 | #67 | — | 21 | 1 | no | — |
| 366 | #67 | — | 21 | 1 | no | — |
| 367 | #67 | — | 21 | 1 | no | — |
| 368 | C2×Dic3 | — | 21 | 1 | no | — |
| 369 | C2×Dic3 | — | 21 | 1 | no | — |
| 370 | C2×Dic3 | — | 42 | 1 | no | — |
| 371 | C3×C7 | — | 2 | 1 | no | — |
| 372 | C3×C7 | C2×C3×#67 | 1 | 1 | yes | characteristic, complemented |
| 373 | C3×C7 | C2×C3×#67 | 1 | 1 | yes | characteristic, complemented |
| 374 | ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 375 | ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 376 | ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 377 | ΓL(1,𝔽8) | C2×#625 | 1 | 1 | yes | characteristic, complemented |
| 378 | C2×C32 | — | 7 | 2 | no | — |
| 379 | C2×C32 | — | 7 | 2 | no | — |
| 380 | C2×C32 | — | 7 | 2 | no | — |
| 381 | C2×C32 | — | 14 | 2 | no | — |
| 382 | C2×C32 | — | 14 | 2 | no | — |
| 383 | C2×C32 | — | 14 | 2 | no | — |
| 384 | C2×C32 | — | 14 | 1 | no | — |
| 385 | C2×C32 | — | 14 | 1 | no | — |
| 386 | C2×C32 | — | 14 | 1 | no | — |
| 387 | C2×C32 | — | 28 | 1 | no | — |
| 388 | C2×C32 | — | 28 | 2 | no | — |
| 389 | C2×C32 | — | 28 | 1 | no | — |
| 390 | C2×C32 | — | 42 | 1 | no | — |
| 391 | C2×C32 | — | 42 | 1 | no | — |
| 392 | C2×C32 | — | 56 | 1 | no | — |
| 393 | C2×C32 | — | 84 | 1 | no | — |
| 394 | C2×C32 | — | 84 | 1 | no | — |
| 395 | C2×C32 | C22×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 396 | C3×D3 | — | 2 | 1 | no | — |
| 397 | C3×D3 | — | 2 | 1 | no | — |
| 398 | C3×D3 | — | 14 | 1 | no | — |
| 399 | C3×D3 | — | 14 | 1 | no | — |
| 400 | C3×D3 | — | 14 | 1 | no | — |
| 401 | C3×D3 | — | 14 | 1 | no | — |
| 402 | C3×D3 | — | 14 | 1 | no | — |
| 403 | C3×D3 | — | 14 | 1 | no | — |
| 404 | C3×D3 | — | 14 | 1 | no | — |
| 405 | C3×D3 | — | 14 | 1 | no | — |
| 406 | C3×D3 | — | 14 | 1 | no | — |
| 407 | C3×D3 | — | 28 | 1 | no | — |
| 408 | C3×D3 | — | 28 | 1 | no | — |
| 409 | C3×D3 | — | 28 | 1 | no | — |
| 410 | C3×D3 | — | 28 | 1 | no | — |
| 411 | C3×D3 | — | 28 | 1 | no | — |
| 412 | C2×D4 | — | 63 | 1 | no | Sylow |
| 413 | C2×C7 | — | 6 | 1 | no | — |
| 414 | C2×C7 | — | 6 | 1 | no | — |
| 415 | C2×C7 | C2×C3×D32 | 1 | 1 | yes | characteristic |
| 416 | D7 | — | 6 | 1 | no | — |
| 417 | D7 | — | 6 | 1 | no | — |
| 418 | D7 | C3×#625 | 1 | 2 | yes | complemented |
| 419 | C22×C3 | — | 3 | 1 | no | — |
| 420 | C22×C3 | — | 3 | 1 | no | — |
| 421 | C22×C3 | — | 7 | 1 | no | — |
| 422 | C22×C3 | — | 7 | 1 | no | — |
| 423 | C22×C3 | — | 7 | 1 | no | — |
| 424 | C22×C3 | — | 14 | 1 | no | — |
| 425 | C22×C3 | — | 14 | 1 | no | — |
| 426 | C22×C3 | — | 14 | 1 | no | — |
| 427 | C22×C3 | — | 21 | 1 | no | — |
| 428 | C22×C3 | — | 21 | 1 | no | — |
| 429 | C22×C3 | — | 21 | 1 | no | — |
| 430 | C22×C3 | — | 21 | 1 | no | — |
| 431 | C22×C3 | — | 28 | 1 | no | — |
| 432 | C22×C3 | — | 42 | 1 | no | — |
| 433 | C22×C3 | — | 42 | 1 | no | — |
| 434 | C22×C3 | — | 42 | 1 | no | — |
| 435 | C22×C3 | — | 42 | 1 | no | — |
| 436 | C22×C3 | — | 42 | 2 | no | — |
| 437 | C22×C3 | — | 42 | 2 | no | — |
| 438 | C22×C3 | — | 42 | 2 | no | — |
| 439 | C22×C3 | — | 42 | 2 | no | — |
| 440 | C22×C3 | — | 42 | 2 | no | — |
| 441 | C22×C3 | — | 42 | 2 | no | — |
| 442 | C22×C3 | — | 42 | 2 | no | — |
| 443 | C22×C3 | — | 42 | 2 | no | — |
| 444 | C22×C3 | — | 84 | 1 | no | — |
| 445 | C22×C3 | — | 84 | 1 | no | — |
| 446 | C2×D3 | — | 7 | 1 | no | — |
| 447 | C2×D3 | — | 7 | 1 | no | — |
| 448 | C2×D3 | — | 14 | 2 | no | — |
| 449 | C2×D3 | — | 14 | 2 | no | — |
| 450 | C2×D3 | D3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 451 | C2×D3 | D3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 452 | C3×C4 | — | 63 | 1 | no | — |
| 453 | C3×C4 | — | 126 | 1 | no | — |
| 454 | Dic3 | — | 3 | 1 | no | — |
| 455 | Dic3 | — | 3 | 1 | no | — |
| 456 | Dic3 | — | 6 | 1 | no | — |
| 457 | Dic3 | — | 21 | 1 | no | — |
| 458 | Dic3 | — | 21 | 1 | no | — |
| 459 | Dic3 | — | 42 | 1 | no | — |
| 460 | C32 | — | 14 | 1 | no | — |
| 461 | C32 | — | 14 | 1 | no | — |
| 462 | C32 | — | 14 | 1 | no | — |
| 463 | C32 | — | 28 | 1 | no | — |
| 464 | C32 | — | 28 | 1 | no | — |
| 465 | C32 | — | 56 | 1 | no | — |
| 466 | C32 | D4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 467 | C23 | — | 21 | 1 | no | — |
| 468 | C23 | — | 21 | 1 | no | — |
| 469 | D4 | — | 9 | 1 | no | — |
| 470 | D4 | — | 63 | 1 | no | — |
| 471 | D4 | — | 63 | 1 | no | — |
| 472 | D4 | — | 63 | 1 | no | — |
| 473 | C2×C4 | — | 63 | 1 | no | — |
| 474 | C7 | C2×C3×#625 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 475 | C2×C3 | — | 2 | 1 | no | — |
| 476 | C2×C3 | — | 6 | 1 | no | — |
| 477 | C2×C3 | — | 6 | 1 | no | — |
| 478 | C2×C3 | — | 7 | 2 | no | — |
| 479 | C2×C3 | — | 7 | 2 | no | — |
| 480 | C2×C3 | — | 7 | 2 | no | — |
| 481 | C2×C3 | — | 14 | 2 | no | — |
| 482 | C2×C3 | — | 14 | 2 | no | — |
| 483 | C2×C3 | — | 14 | 2 | no | — |
| 484 | C2×C3 | — | 14 | 1 | no | — |
| 485 | C2×C3 | — | 28 | 2 | no | — |
| 486 | C2×C3 | — | 28 | 1 | no | — |
| 487 | C2×C3 | — | 28 | 1 | no | — |
| 488 | C2×C3 | — | 28 | 1 | no | — |
| 489 | C2×C3 | — | 42 | 1 | no | — |
| 490 | C2×C3 | — | 42 | 1 | no | — |
| 491 | C2×C3 | — | 42 | 1 | no | — |
| 492 | C2×C3 | — | 42 | 1 | no | — |
| 493 | C2×C3 | — | 42 | 1 | no | — |
| 494 | C2×C3 | — | 42 | 1 | no | — |
| 495 | C2×C3 | — | 42 | 1 | no | — |
| 496 | C2×C3 | — | 42 | 1 | no | — |
| 497 | C2×C3 | — | 42 | 1 | no | — |
| 498 | C2×C3 | — | 42 | 1 | no | — |
| 499 | C2×C3 | — | 84 | 1 | no | — |
| 500 | C2×C3 | — | 84 | 1 | no | — |
| 501 | C2×C3 | — | 84 | 1 | no | — |
| 502 | C2×C3 | — | 84 | 1 | no | — |
| 503 | C2×C3 | C2×D3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 504 | C2×C3 | C2×D3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 505 | D3 | — | 2 | 1 | no | — |
| 506 | D3 | — | 2 | 1 | no | — |
| 507 | D3 | — | 14 | 1 | no | — |
| 508 | D3 | — | 14 | 1 | no | — |
| 509 | C22 | — | 3 | 1 | no | — |
| 510 | C22 | — | 3 | 1 | no | — |
| 511 | C22 | — | 7 | 1 | no | — |
| 512 | C22 | — | 21 | 1 | no | — |
| 513 | C22 | — | 21 | 1 | no | — |
| 514 | C22 | — | 42 | 2 | no | — |
| 515 | C22 | — | 42 | 2 | no | — |
| 516 | C4 | — | 9 | 1 | no | — |
| 517 | C4 | — | 63 | 1 | no | — |
| 518 | C3 | — | 2 | 1 | no | — |
| 519 | C3 | — | 14 | 1 | no | — |
| 520 | C3 | — | 28 | 1 | no | — |
| 521 | C3 | — | 28 | 1 | no | — |
| 522 | C3 | — | 28 | 1 | no | — |
| 523 | C3 | #67×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 524 | C3 | #67×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 525 | C2 | — | 6 | 1 | no | — |
| 526 | C2 | — | 6 | 1 | no | — |
| 527 | C2 | — | 7 | 2 | no | — |
| 528 | C2 | — | 42 | 1 | no | — |
| 529 | C2 | — | 42 | 1 | no | — |
| 530 | C2 | D32×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta