| 1 | C3×Dic42⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×ΓL(1,𝔽8)×Dic6 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C32×C4×AGL(1,𝔽7) | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C3×#4248⋊C3 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | C3×Dic3×AGL(1,𝔽7) | C2 | 1 | 2 | yes | maximal |
| 6 | C3×D7×Dic6 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×Q8×AGL(1,𝔽7) | — | 3 | 1 | no | maximal |
| 8 | Dic6×AGL(1,𝔽7) | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 9 | Dic6×AGL(1,𝔽7) | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 10 | Dic6×AGL(1,𝔽7) | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 11 | C2×C32×AGL(1,𝔽7) | C22 | 1 | 1 | yes | characteristic |
| 12 | C32×C4×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic |
| 13 | C3×C3⋊(ΓL(1,𝔽8)⋊C4) | C22 | 1 | 2 | yes | — |
| 14 | C3×Dic3×ΓL(1,𝔽8) | C22 | 1 | 2 | yes | — |
| 15 | C32×ΓL(1,𝔽8)⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 16 | C3×Dic42 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 17 | C3×C7×Dic6 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 18 | C32×C4×D7 | C2×C3 | 1 | 1 | yes | characteristic |
| 19 | C3×Q8×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 20 | C3×#4248 | C2×C3 | 1 | 2 | yes | complemented |
| 21 | C3×Dic3×D7 | C2×C3 | 1 | 2 | yes | — |
| 22 | Dic42⋊C3 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 23 | Dic42⋊C3 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 24 | Dic42⋊C3 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 25 | ΓL(1,𝔽8)×Dic6 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 26 | ΓL(1,𝔽8)×Dic6 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 27 | ΓL(1,𝔽8)×Dic6 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 28 | C3×C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 29 | C3×C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 30 | C3×C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 31 | C3×C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 32 | C3×C4×AGL(1,𝔽7) | — | 3 | 2 | no | — |
| 33 | C3×C4×AGL(1,𝔽7) | D3 | 1 | 1 | yes | characteristic |
| 34 | C3×C4×AGL(1,𝔽7) | C2×C3 | 1 | 1 | yes | characteristic |
| 35 | C3×C4×AGL(1,𝔽7) | C2×C3 | 1 | 1 | yes | characteristic |
| 36 | C3×C4×AGL(1,𝔽7) | C2×C3 | 1 | 1 | yes | characteristic |
| 37 | C3×ΓL(1,𝔽8)⋊Q8 | — | 3 | 1 | no | — |
| 38 | C3×ΓL(1,𝔽8)⋊Q8 | — | 3 | 2 | no | — |
| 39 | #4248⋊C3 | C2×C3 | 1 | 2 | yes | complemented |
| 40 | #4248⋊C3 | C2×C3 | 1 | 2 | yes | complemented |
| 41 | #4248⋊C3 | C2×C3 | 1 | 2 | yes | complemented |
| 42 | Dic3×AGL(1,𝔽7) | C2×C3 | 1 | 2 | yes | — |
| 43 | Dic3×AGL(1,𝔽7) | C2×C3 | 1 | 2 | yes | — |
| 44 | Dic3×AGL(1,𝔽7) | C2×C3 | 1 | 2 | yes | — |
| 45 | C2×C32×Dic6 | — | 7 | 1 | no | maximal, Hall |
| 46 | C2×C32×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 47 | C32×AGL(1,𝔽7) | Q8 | 1 | 2 | yes | complemented |
| 48 | C3×Q8×D7 | — | 3 | 1 | no | — |
| 49 | D7×Dic6 | C32 | 1 | 1 | yes | characteristic, complemented |
| 50 | Q8×AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 51 | Q8×AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 52 | Q8×AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 53 | C2×C32×D7 | C22×C3 | 1 | 1 | yes | characteristic |
| 54 | C2×C3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 55 | C2×C3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 56 | C2×C3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 57 | C2×C3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 58 | C2×C3×AGL(1,𝔽7) | C2×D3 | 1 | 1 | yes | characteristic |
| 59 | C2×C3×AGL(1,𝔽7) | C22×C3 | 1 | 1 | yes | characteristic |
| 60 | C2×C3×AGL(1,𝔽7) | C22×C3 | 1 | 1 | yes | characteristic |
| 61 | C2×C3×AGL(1,𝔽7) | C22×C3 | 1 | 1 | yes | characteristic |
| 62 | C32×C4×C7 | C22×C3 | 1 | 1 | yes | characteristic |
| 63 | C3×Dic21 | C22×C3 | 1 | 2 | yes | — |
| 64 | C3×C7×Dic3 | C22×C3 | 1 | 2 | yes | — |
| 65 | C32×Dic7 | C22×C3 | 1 | 1 | yes | characteristic |
| 66 | C3×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 67 | C3×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 68 | C3×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 69 | C3×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 70 | C3×C4×ΓL(1,𝔽8) | — | 3 | 2 | no | — |
| 71 | C3×C4×ΓL(1,𝔽8) | C2×D3 | 1 | 1 | yes | characteristic |
| 72 | C3×C4×ΓL(1,𝔽8) | C22×C3 | 1 | 1 | yes | characteristic |
| 73 | C3×C4×ΓL(1,𝔽8) | C22×C3 | 1 | 1 | yes | characteristic |
| 74 | C3×C4×ΓL(1,𝔽8) | C22×C3 | 1 | 1 | yes | characteristic |
| 75 | C3⋊(ΓL(1,𝔽8)⋊C4) | C22×C3 | 1 | 2 | yes | — |
| 76 | C3⋊(ΓL(1,𝔽8)⋊C4) | C22×C3 | 1 | 2 | yes | — |
| 77 | C3⋊(ΓL(1,𝔽8)⋊C4) | C22×C3 | 1 | 2 | yes | — |
| 78 | Dic3×ΓL(1,𝔽8) | C22×C3 | 1 | 2 | yes | — |
| 79 | Dic3×ΓL(1,𝔽8) | C22×C3 | 1 | 2 | yes | — |
| 80 | Dic3×ΓL(1,𝔽8) | C22×C3 | 1 | 2 | yes | — |
| 81 | C3×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 82 | C3×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 83 | C3×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 84 | C3×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 85 | C3×ΓL(1,𝔽8)⋊C4 | — | 3 | 2 | no | — |
| 86 | C3×ΓL(1,𝔽8)⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 87 | C3×ΓL(1,𝔽8)⋊C4 | C22×C3 | 1 | 1 | yes | characteristic |
| 88 | C3×ΓL(1,𝔽8)⋊C4 | C22×C3 | 1 | 1 | yes | characteristic |
| 89 | C3×ΓL(1,𝔽8)⋊C4 | C22×C3 | 1 | 1 | yes | characteristic |
| 90 | C2×C33×C4 | — | 7 | 1 | no | — |
| 91 | C2×C32×Dic3 | — | 7 | 2 | no | — |
| 92 | C32×Dic6 | — | 7 | 1 | no | — |
| 93 | C32×Dic6 | — | 7 | 2 | no | — |
| 94 | C32×Dic6 | — | 14 | 1 | no | — |
| 95 | C32×ΓL(1,𝔽8) | C2×Q8 | 1 | 1 | yes | characteristic, complemented, Hall |
| 96 | C3×C7×Q8 | — | 3 | 1 | no | — |
| 97 | Dic42 | C2×C32 | 1 | 1 | yes | characteristic, complemented |
| 98 | C7×Dic6 | C2×C32 | 1 | 1 | yes | characteristic, complemented |
| 99 | C3×C4×D7 | — | 2 | 1 | no | — |
| 100 | C3×C4×D7 | — | 3 | 2 | no | — |
| 101 | C3×C4×D7 | C3×D3 | 1 | 1 | yes | characteristic |
| 102 | C3×C4×D7 | C2×C32 | 1 | 1 | yes | characteristic |
| 103 | C3×Dic14 | — | 3 | 1 | no | — |
| 104 | C3×Dic14 | — | 3 | 2 | no | — |
| 105 | Q8×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 106 | Q8×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 107 | Q8×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 108 | #4248 | C2×C32 | 1 | 2 | yes | complemented |
| 109 | Dic3×D7 | C2×C32 | 1 | 2 | yes | — |
| 110 | C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 111 | C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 112 | C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 113 | C4×AGL(1,𝔽7) | — | 3 | 2 | no | — |
| 114 | C4×AGL(1,𝔽7) | — | 3 | 2 | no | — |
| 115 | C4×AGL(1,𝔽7) | — | 3 | 2 | no | — |
| 116 | C4×AGL(1,𝔽7) | C3×D3 | 1 | 1 | yes | characteristic |
| 117 | C4×AGL(1,𝔽7) | C3×D3 | 1 | 1 | yes | characteristic |
| 118 | C4×AGL(1,𝔽7) | C3×D3 | 1 | 1 | yes | characteristic |
| 119 | ΓL(1,𝔽8)⋊Q8 | — | 3 | 1 | no | — |
| 120 | ΓL(1,𝔽8)⋊Q8 | — | 3 | 1 | no | — |
| 121 | ΓL(1,𝔽8)⋊Q8 | — | 3 | 1 | no | — |
| 122 | ΓL(1,𝔽8)⋊Q8 | — | 3 | 2 | no | — |
| 123 | ΓL(1,𝔽8)⋊Q8 | — | 3 | 2 | no | — |
| 124 | ΓL(1,𝔽8)⋊Q8 | — | 3 | 2 | no | — |
| 125 | C2×C32×Q8 | — | 21 | 1 | no | — |
| 126 | C2×C3×Dic6 | — | 7 | 1 | no | — |
| 127 | C2×C3×Dic6 | — | 7 | 1 | no | — |
| 128 | C2×C3×Dic6 | — | 7 | 1 | no | — |
| 129 | C2×C3×Dic6 | — | 7 | 1 | no | — |
| 130 | C2×C32×C7 | C23×C3 | 1 | 1 | yes | characteristic |
| 131 | C32×D7 | C3×Q8 | 1 | 2 | yes | complemented |
| 132 | C2×C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 133 | C2×C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 134 | C2×C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 135 | C2×C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 136 | C2×C3×ΓL(1,𝔽8) | C22×D3 | 1 | 1 | yes | characteristic |
| 137 | C2×C3×ΓL(1,𝔽8) | C23×C3 | 1 | 1 | yes | characteristic |
| 138 | C2×C3×ΓL(1,𝔽8) | C23×C3 | 1 | 1 | yes | characteristic |
| 139 | C2×C3×ΓL(1,𝔽8) | C23×C3 | 1 | 1 | yes | characteristic |
| 140 | C3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 141 | C3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 142 | C3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 143 | C3×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 144 | C3×AGL(1,𝔽7) | Dic6 | 1 | 2 | yes | direct product factor |
| 145 | C3×AGL(1,𝔽7) | C3×Q8 | 1 | 2 | yes | complemented |
| 146 | C3×AGL(1,𝔽7) | C3×Q8 | 1 | 2 | yes | complemented |
| 147 | C3×AGL(1,𝔽7) | C3×Q8 | 1 | 2 | yes | complemented |
| 148 | Q8×D7 | — | 3 | 1 | no | Hall |
| 149 | C22×C33 | — | 7 | 1 | no | — |
| 150 | C33×C4 | — | 7 | 1 | no | — |
| 151 | C33×C4 | — | 14 | 1 | no | — |
| 152 | C32×Dic3 | — | 7 | 2 | no | — |
| 153 | C32×Dic3 | — | 14 | 2 | no | — |
| 154 | C2×C3×D7 | — | 2 | 1 | no | — |
| 155 | C2×C3×D7 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 156 | C2×C3×D7 | C22×C32 | 1 | 1 | yes | characteristic |
| 157 | C2×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 158 | C2×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 159 | C2×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 160 | C2×AGL(1,𝔽7) | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 161 | C2×AGL(1,𝔽7) | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 162 | C2×AGL(1,𝔽7) | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 163 | C3×C4×C7 | — | 2 | 1 | no | — |
| 164 | C3×C4×C7 | — | 3 | 2 | no | — |
| 165 | C3×C4×C7 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 166 | C3×C4×C7 | C22×C32 | 1 | 1 | yes | characteristic |
| 167 | Dic21 | C22×C32 | 1 | 2 | yes | — |
| 168 | C3×Dic7 | — | 2 | 1 | no | — |
| 169 | C3×Dic7 | — | 3 | 2 | no | — |
| 170 | C3×Dic7 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 171 | C3×Dic7 | C22×C32 | 1 | 1 | yes | characteristic |
| 172 | C7×Dic3 | C22×C32 | 1 | 2 | yes | — |
| 173 | C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 174 | C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 175 | C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 176 | C4×ΓL(1,𝔽8) | — | 3 | 2 | no | — |
| 177 | C4×ΓL(1,𝔽8) | — | 3 | 2 | no | — |
| 178 | C4×ΓL(1,𝔽8) | — | 3 | 2 | no | — |
| 179 | C4×ΓL(1,𝔽8) | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 180 | C4×ΓL(1,𝔽8) | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 181 | C4×ΓL(1,𝔽8) | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 182 | ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 183 | ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 184 | ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 185 | ΓL(1,𝔽8)⋊C4 | — | 3 | 2 | no | — |
| 186 | ΓL(1,𝔽8)⋊C4 | — | 3 | 2 | no | — |
| 187 | ΓL(1,𝔽8)⋊C4 | — | 3 | 2 | no | — |
| 188 | ΓL(1,𝔽8)⋊C4 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 189 | ΓL(1,𝔽8)⋊C4 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 190 | ΓL(1,𝔽8)⋊C4 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 191 | C32×Q8 | — | 21 | 2 | no | — |
| 192 | C32×Q8 | — | 21 | 1 | no | — |
| 193 | C32×Q8 | — | 42 | 1 | no | — |
| 194 | C2×C32×C4 | — | 7 | 1 | no | — |
| 195 | C2×C32×C4 | — | 7 | 1 | no | — |
| 196 | C2×C32×C4 | — | 7 | 1 | no | — |
| 197 | C2×C32×C4 | — | 7 | 1 | no | — |
| 198 | C2×C32×C4 | — | 7 | 1 | no | — |
| 199 | C2×C32×C4 | — | 14 | 1 | no | — |
| 200 | C2×C32×C4 | — | 14 | 1 | no | — |
| 201 | C2×C32×C4 | — | 14 | 1 | no | — |
| 202 | C2×C32×C4 | — | 14 | 1 | no | — |
| 203 | C2×C32×C4 | — | 21 | 2 | no | — |
| 204 | C2×C3×Dic3 | — | 7 | 2 | no | — |
| 205 | C2×C3×Dic3 | — | 7 | 2 | no | — |
| 206 | C2×C3×Dic3 | — | 7 | 2 | no | — |
| 207 | C2×C3×Dic3 | — | 7 | 2 | no | — |
| 208 | C3×Dic6 | — | 7 | 1 | no | — |
| 209 | C3×Dic6 | — | 7 | 1 | no | — |
| 210 | C3×Dic6 | — | 7 | 1 | no | — |
| 211 | C3×Dic6 | — | 7 | 1 | no | — |
| 212 | C3×Dic6 | — | 7 | 2 | no | — |
| 213 | C3×Dic6 | — | 7 | 2 | no | — |
| 214 | C3×Dic6 | — | 7 | 2 | no | — |
| 215 | C3×Dic6 | — | 7 | 2 | no | — |
| 216 | C3×Dic6 | — | 14 | 1 | no | — |
| 217 | C3×Dic6 | — | 14 | 1 | no | — |
| 218 | C3×Dic6 | — | 14 | 1 | no | — |
| 219 | C3×Dic6 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic, direct product factor |
| 220 | C32×C7 | C2×C3×Q8 | 1 | 1 | yes | characteristic, complemented |
| 221 | C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 222 | C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 223 | C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 224 | C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 225 | C3×ΓL(1,𝔽8) | C2×Dic6 | 1 | 1 | yes | characteristic, complemented |
| 226 | C3×ΓL(1,𝔽8) | C2×C3×Q8 | 1 | 1 | yes | characteristic, complemented |
| 227 | C3×ΓL(1,𝔽8) | C2×C3×Q8 | 1 | 1 | yes | characteristic, complemented |
| 228 | C3×ΓL(1,𝔽8) | C2×C3×Q8 | 1 | 1 | yes | characteristic, complemented |
| 229 | C7×Q8 | — | 3 | 1 | no | — |
| 230 | C4×D7 | — | 3 | 2 | no | — |
| 231 | C4×D7 | C32×D3 | 1 | 1 | yes | characteristic |
| 232 | Dic14 | — | 3 | 1 | no | — |
| 233 | Dic14 | — | 3 | 2 | no | — |
| 234 | C2×C33 | — | 7 | 2 | no | — |
| 235 | C2×C33 | — | 14 | 1 | no | — |
| 236 | C2×C3×Q8 | — | 21 | 1 | no | — |
| 237 | C2×C3×Q8 | — | 21 | 1 | no | — |
| 238 | C2×C3×Q8 | — | 21 | 1 | no | — |
| 239 | C2×C3×Q8 | — | 21 | 1 | no | — |
| 240 | C2×Dic6 | — | 7 | 1 | no | — |
| 241 | C2×C3×C7 | — | 2 | 1 | no | — |
| 242 | C2×C3×C7 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 243 | C2×C3×C7 | C23×C32 | 1 | 1 | yes | characteristic |
| 244 | C3×D7 | — | 2 | 2 | no | — |
| 245 | C3×D7 | C3×Dic6 | 1 | 2 | yes | complemented |
| 246 | C3×D7 | C32×Q8 | 1 | 2 | yes | complemented |
| 247 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 248 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 249 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 250 | C2×ΓL(1,𝔽8) | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 251 | C2×ΓL(1,𝔽8) | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 252 | C2×ΓL(1,𝔽8) | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 253 | AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 254 | AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 255 | AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 256 | AGL(1,𝔽7) | C3×Dic6 | 1 | 2 | yes | direct product factor |
| 257 | AGL(1,𝔽7) | C3×Dic6 | 1 | 2 | yes | direct product factor |
| 258 | AGL(1,𝔽7) | C3×Dic6 | 1 | 2 | yes | direct product factor |
| 259 | C22×C32 | — | 7 | 1 | no | — |
| 260 | C22×C32 | — | 7 | 1 | no | — |
| 261 | C22×C32 | — | 7 | 1 | no | — |
| 262 | C22×C32 | — | 7 | 1 | no | — |
| 263 | C22×C32 | — | 7 | 1 | no | — |
| 264 | C22×C32 | — | 14 | 1 | no | — |
| 265 | C22×C32 | — | 14 | 1 | no | — |
| 266 | C22×C32 | — | 14 | 1 | no | — |
| 267 | C22×C32 | — | 14 | 1 | no | — |
| 268 | C32×C4 | — | 7 | 1 | no | — |
| 269 | C32×C4 | — | 7 | 1 | no | — |
| 270 | C32×C4 | — | 7 | 1 | no | — |
| 271 | C32×C4 | — | 7 | 1 | no | — |
| 272 | C32×C4 | — | 7 | 1 | no | — |
| 273 | C32×C4 | — | 14 | 1 | no | — |
| 274 | C32×C4 | — | 14 | 1 | no | — |
| 275 | C32×C4 | — | 14 | 1 | no | — |
| 276 | C32×C4 | — | 14 | 1 | no | — |
| 277 | C32×C4 | — | 14 | 1 | no | — |
| 278 | C32×C4 | — | 14 | 1 | no | — |
| 279 | C32×C4 | — | 14 | 1 | no | — |
| 280 | C32×C4 | — | 14 | 1 | no | — |
| 281 | C32×C4 | — | 14 | 1 | no | — |
| 282 | C32×C4 | — | 21 | 2 | no | — |
| 283 | C32×C4 | — | 28 | 1 | no | — |
| 284 | C32×C4 | — | 28 | 1 | no | — |
| 285 | C32×C4 | — | 28 | 1 | no | — |
| 286 | C32×C4 | — | 42 | 2 | no | — |
| 287 | C32×C4 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 288 | C3×Dic3 | — | 7 | 2 | no | — |
| 289 | C3×Dic3 | — | 7 | 2 | no | — |
| 290 | C3×Dic3 | — | 7 | 2 | no | — |
| 291 | C3×Dic3 | — | 7 | 2 | no | — |
| 292 | C3×Dic3 | — | 14 | 2 | no | — |
| 293 | C3×Dic3 | — | 14 | 2 | no | — |
| 294 | C3×Dic3 | — | 14 | 2 | no | — |
| 295 | C3×Dic3 | C2×AGL(1,𝔽7) | 1 | 2 | yes | — |
| 296 | C2×D7 | C2×C32×D3 | 1 | 1 | yes | characteristic |
| 297 | C4×C7 | — | 3 | 2 | no | — |
| 298 | C4×C7 | C2×C32×D3 | 1 | 1 | yes | characteristic |
| 299 | Dic7 | — | 3 | 2 | no | — |
| 300 | Dic7 | C2×C32×D3 | 1 | 1 | yes | characteristic |
| 301 | C33 | — | 14 | 1 | no | Sylow |
| 302 | C3×Q8 | — | 3 | 1 | no | — |
| 303 | C3×Q8 | — | 21 | 2 | no | — |
| 304 | C3×Q8 | — | 21 | 2 | no | — |
| 305 | C3×Q8 | — | 21 | 2 | no | — |
| 306 | C3×Q8 | — | 21 | 2 | no | — |
| 307 | C3×Q8 | — | 21 | 1 | no | — |
| 308 | C3×Q8 | — | 21 | 1 | no | — |
| 309 | C3×Q8 | — | 21 | 1 | no | — |
| 310 | C3×Q8 | — | 21 | 1 | no | — |
| 311 | C3×Q8 | — | 42 | 1 | no | — |
| 312 | C3×Q8 | — | 42 | 1 | no | — |
| 313 | C3×Q8 | — | 42 | 1 | no | — |
| 314 | C2×C3×C4 | — | 7 | 1 | no | — |
| 315 | C2×C3×C4 | — | 7 | 1 | no | — |
| 316 | C2×C3×C4 | — | 7 | 1 | no | — |
| 317 | C2×C3×C4 | — | 7 | 1 | no | — |
| 318 | C2×C3×C4 | — | 7 | 1 | no | — |
| 319 | C2×C3×C4 | — | 14 | 1 | no | — |
| 320 | C2×C3×C4 | — | 14 | 1 | no | — |
| 321 | C2×C3×C4 | — | 14 | 1 | no | — |
| 322 | C2×C3×C4 | — | 14 | 1 | no | — |
| 323 | C2×C3×C4 | — | 21 | 2 | no | — |
| 324 | C2×C3×C4 | — | 21 | 2 | no | — |
| 325 | C2×C3×C4 | — | 21 | 2 | no | — |
| 326 | C2×C3×C4 | — | 21 | 2 | no | — |
| 327 | C2×Dic3 | — | 7 | 2 | no | — |
| 328 | Dic6 | — | 7 | 1 | no | — |
| 329 | Dic6 | — | 7 | 2 | no | — |
| 330 | Dic6 | C3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, direct product factor |
| 331 | C3×C7 | — | 2 | 1 | no | — |
| 332 | C3×C7 | C2×C3×Dic6 | 1 | 1 | yes | characteristic, complemented |
| 333 | C3×C7 | C2×C32×Q8 | 1 | 1 | yes | characteristic, complemented |
| 334 | ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 335 | ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 336 | ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 337 | ΓL(1,𝔽8) | C2×C3×Dic6 | 1 | 1 | yes | characteristic, complemented |
| 338 | ΓL(1,𝔽8) | C2×C3×Dic6 | 1 | 1 | yes | characteristic, complemented |
| 339 | ΓL(1,𝔽8) | C2×C3×Dic6 | 1 | 1 | yes | characteristic, complemented |
| 340 | C2×C32 | — | 7 | 2 | no | — |
| 341 | C2×C32 | — | 7 | 2 | no | — |
| 342 | C2×C32 | — | 7 | 2 | no | — |
| 343 | C2×C32 | — | 7 | 2 | no | — |
| 344 | C2×C32 | — | 7 | 2 | no | — |
| 345 | C2×C32 | — | 14 | 1 | no | — |
| 346 | C2×C32 | — | 14 | 2 | no | — |
| 347 | C2×C32 | — | 14 | 2 | no | — |
| 348 | C2×C32 | — | 14 | 2 | no | — |
| 349 | C2×C32 | — | 14 | 2 | no | — |
| 350 | C2×C32 | — | 14 | 1 | no | — |
| 351 | C2×C32 | — | 14 | 1 | no | — |
| 352 | C2×C32 | — | 14 | 1 | no | — |
| 353 | C2×C32 | — | 14 | 1 | no | — |
| 354 | C2×C32 | — | 28 | 1 | no | — |
| 355 | C2×C32 | — | 28 | 1 | no | — |
| 356 | C2×C32 | — | 28 | 1 | no | — |
| 357 | C2×C32 | C22×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 358 | C2×Q8 | — | 21 | 1 | no | Sylow |
| 359 | C2×C7 | C22×C32×D3 | 1 | 1 | yes | characteristic |
| 360 | D7 | C32×Dic6 | 1 | 2 | yes | complemented |
| 361 | C22×C3 | — | 7 | 1 | no | — |
| 362 | C22×C3 | — | 7 | 1 | no | — |
| 363 | C22×C3 | — | 7 | 1 | no | — |
| 364 | C22×C3 | — | 7 | 1 | no | — |
| 365 | C22×C3 | — | 7 | 1 | no | — |
| 366 | C22×C3 | — | 14 | 1 | no | — |
| 367 | C22×C3 | — | 14 | 1 | no | — |
| 368 | C22×C3 | — | 14 | 1 | no | — |
| 369 | C22×C3 | — | 14 | 1 | no | — |
| 370 | C3×C4 | — | 2 | 1 | no | — |
| 371 | C3×C4 | — | 3 | 2 | no | — |
| 372 | C3×C4 | — | 7 | 1 | no | — |
| 373 | C3×C4 | — | 7 | 1 | no | — |
| 374 | C3×C4 | — | 7 | 1 | no | — |
| 375 | C3×C4 | — | 7 | 1 | no | — |
| 376 | C3×C4 | — | 7 | 1 | no | — |
| 377 | C3×C4 | — | 14 | 1 | no | — |
| 378 | C3×C4 | — | 14 | 1 | no | — |
| 379 | C3×C4 | — | 14 | 1 | no | — |
| 380 | C3×C4 | — | 14 | 1 | no | — |
| 381 | C3×C4 | — | 14 | 1 | no | — |
| 382 | C3×C4 | — | 14 | 1 | no | — |
| 383 | C3×C4 | — | 14 | 1 | no | — |
| 384 | C3×C4 | — | 14 | 1 | no | — |
| 385 | C3×C4 | — | 21 | 2 | no | — |
| 386 | C3×C4 | — | 21 | 2 | no | — |
| 387 | C3×C4 | — | 21 | 2 | no | — |
| 388 | C3×C4 | — | 21 | 2 | no | — |
| 389 | C3×C4 | — | 28 | 1 | no | — |
| 390 | C3×C4 | — | 28 | 1 | no | — |
| 391 | C3×C4 | — | 42 | 2 | no | — |
| 392 | C3×C4 | — | 42 | 2 | no | — |
| 393 | C3×C4 | — | 42 | 2 | no | — |
| 394 | C3×C4 | D3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 395 | C3×C4 | C2×C3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 396 | Dic3 | — | 7 | 2 | no | — |
| 397 | Dic3 | C2×C3×AGL(1,𝔽7) | 1 | 2 | yes | — |
| 398 | C32 | — | 14 | 1 | no | — |
| 399 | C32 | — | 14 | 1 | no | — |
| 400 | C32 | — | 14 | 1 | no | — |
| 401 | C32 | — | 14 | 1 | no | — |
| 402 | C32 | — | 14 | 1 | no | — |
| 403 | C32 | — | 28 | 1 | no | — |
| 404 | C32 | — | 28 | 1 | no | — |
| 405 | C32 | — | 28 | 1 | no | — |
| 406 | C32 | Q8×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 407 | Q8 | — | 3 | 1 | no | — |
| 408 | Q8 | — | 21 | 2 | no | — |
| 409 | Q8 | — | 21 | 1 | no | — |
| 410 | C2×C4 | — | 7 | 1 | no | — |
| 411 | C2×C4 | — | 21 | 2 | no | — |
| 412 | C7 | C2×C32×Dic6 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 413 | C2×C3 | — | 2 | 1 | no | — |
| 414 | C2×C3 | — | 7 | 2 | no | — |
| 415 | C2×C3 | — | 7 | 2 | no | — |
| 416 | C2×C3 | — | 7 | 2 | no | — |
| 417 | C2×C3 | — | 7 | 2 | no | — |
| 418 | C2×C3 | — | 7 | 2 | no | — |
| 419 | C2×C3 | — | 14 | 2 | no | — |
| 420 | C2×C3 | — | 14 | 2 | no | — |
| 421 | C2×C3 | — | 14 | 2 | no | — |
| 422 | C2×C3 | — | 14 | 2 | no | — |
| 423 | C2×C3 | — | 14 | 1 | no | — |
| 424 | C2×C3 | — | 14 | 1 | no | — |
| 425 | C2×C3 | — | 14 | 1 | no | — |
| 426 | C2×C3 | — | 14 | 1 | no | — |
| 427 | C2×C3 | — | 28 | 1 | no | — |
| 428 | C2×C3 | — | 28 | 1 | no | — |
| 429 | C2×C3 | C2×D3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 430 | C2×C3 | C22×C3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 431 | C22 | — | 7 | 1 | no | — |
| 432 | C4 | — | 3 | 2 | no | — |
| 433 | C4 | — | 7 | 1 | no | — |
| 434 | C4 | — | 21 | 2 | no | — |
| 435 | C4 | C3×D3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 436 | C3 | — | 2 | 1 | no | — |
| 437 | C3 | — | 14 | 1 | no | — |
| 438 | C3 | — | 14 | 1 | no | — |
| 439 | C3 | — | 14 | 1 | no | — |
| 440 | C3 | — | 14 | 1 | no | — |
| 441 | C3 | — | 28 | 1 | no | — |
| 442 | C3 | — | 28 | 1 | no | — |
| 443 | C3 | Dic6×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, direct product factor |
| 444 | C3 | C3×Q8×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 445 | C2 | — | 7 | 2 | no | — |
| 446 | C2 | C2×C3×D3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta