| 1 | #41×AGL(1,𝔽7) | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×Q8×AGL(1,𝔽7) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | ΓL(1,𝔽8)×#137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #6514⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #6505⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #6481⋊C3 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | Q16×AGL(1,𝔽7) | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #6478⋊C3 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | SD16×AGL(1,𝔽7) | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #6472⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | M16×AGL(1,𝔽7) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | D7×#137 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 13 | #41×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×Q8×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | #66659 | C22 | 1 | 1 | yes | characteristic |
| 16 | Q8×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 17 | Q8×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 18 | Q8×AGL(1,𝔽7) | C22 | 1 | 2 | yes | — |
| 19 | Q8×AGL(1,𝔽7) | C22 | 1 | 1 | yes | characteristic |
| 20 | Q8×AGL(1,𝔽7) | C22 | 1 | 2 | yes | complemented |
| 21 | #1159⋊C3 | — | 2 | 1 | no | — |
| 22 | #1159⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 23 | D4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 24 | D4×AGL(1,𝔽7) | C22 | 1 | 1 | yes | characteristic |
| 25 | #1157⋊C3 | — | 2 | 1 | no | — |
| 26 | #1157⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 28 | C2×C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 29 | C2×C4×AGL(1,𝔽7) | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×ΓL(1,𝔽8)⋊Q8 | — | 2 | 1 | no | — |
| 31 | C2×ΓL(1,𝔽8)⋊Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | Q16×ΓL(1,𝔽8) | C22 | 1 | 2 | yes | complemented |
| 33 | SD16×ΓL(1,𝔽8) | C22 | 1 | 2 | yes | complemented |
| 34 | M16×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #1144⋊C3 | C22 | 1 | 2 | yes | complemented |
| 36 | #1144⋊C3 | C22 | 1 | 2 | yes | complemented |
| 37 | #1143⋊C3 | C22 | 1 | 2 | yes | complemented |
| 38 | #1142⋊C3 | C22 | 1 | 2 | yes | complemented |
| 39 | #1136⋊C3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | Dic28⋊C3 | C22 | 1 | 2 | yes | complemented |
| 41 | #1132⋊C3 | C22 | 1 | 2 | yes | complemented |
| 42 | #1131⋊C3 | C22 | 1 | 2 | yes | complemented |
| 43 | C8×AGL(1,𝔽7) | C22 | 1 | 2 | yes | — |
| 44 | D7×#41 | C2×C3 | 1 | 1 | yes | characteristic |
| 45 | C2×Q8×D7 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 46 | C7×#137 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 47 | #6514 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 48 | #6505 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 49 | #6481 | C2×C3 | 1 | 2 | yes | complemented |
| 50 | D7×Q16 | C2×C3 | 1 | 2 | yes | complemented |
| 51 | #6478 | C2×C3 | 1 | 2 | yes | complemented |
| 52 | D7×SD16 | C2×C3 | 1 | 2 | yes | complemented |
| 53 | #6472 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 54 | D7×M16 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 55 | C2×C3×#137 | — | 7 | 1 | no | maximal, Hall |
| 56 | C22×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 57 | C22×AGL(1,𝔽7) | D4 | 1 | 1 | yes | characteristic |
| 58 | Q8×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 59 | Q8×ΓL(1,𝔽8) | C23 | 1 | 2 | yes | — |
| 60 | Q8×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 61 | D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 62 | D4×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 63 | C2×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 64 | C2×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 65 | C2×C4×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 66 | (C22⋊D7)⋊C3 | — | 2 | 1 | no | — |
| 67 | (C22⋊D7)⋊C3 | — | 2 | 1 | no | — |
| 68 | (C22⋊D7)⋊C3 | — | 2 | 1 | no | — |
| 69 | C2×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 70 | C2×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 71 | C2×ΓL(1,𝔽8)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 72 | C4⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 73 | C4⋊AGL(1,𝔽7) | C23 | 1 | 1 | yes | characteristic |
| 74 | C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 75 | C4×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 76 | C4×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 77 | C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 78 | C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 79 | C4×AGL(1,𝔽7) | D4 | 1 | 1 | yes | characteristic |
| 80 | C4×AGL(1,𝔽7) | D4 | 1 | 1 | yes | characteristic |
| 81 | C4×AGL(1,𝔽7) | C23 | 1 | 1 | yes | characteristic |
| 82 | C4×AGL(1,𝔽7) | C23 | 1 | 1 | yes | characteristic |
| 83 | ΓL(1,𝔽8)⋊Q8 | — | 2 | 1 | no | — |
| 84 | ΓL(1,𝔽8)⋊Q8 | — | 2 | 2 | no | — |
| 85 | ΓL(1,𝔽8)⋊Q8 | — | 2 | 2 | no | — |
| 86 | ΓL(1,𝔽8)⋊Q8 | — | 2 | 1 | no | — |
| 87 | ΓL(1,𝔽8)⋊Q8 | C23 | 1 | 2 | yes | — |
| 88 | ΓL(1,𝔽8)⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 89 | C8×ΓL(1,𝔽8) | C23 | 1 | 2 | yes | — |
| 90 | ΓL(1,𝔽8)⋊C8 | C23 | 1 | 2 | yes | — |
| 91 | C7×#41 | C22×C3 | 1 | 1 | yes | characteristic |
| 92 | C2×C7×Q8 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 93 | #1161 | C22×C3 | 1 | 1 | yes | characteristic |
| 94 | Q8×D7 | — | 2 | 1 | no | — |
| 95 | Q8×D7 | — | 2 | 1 | no | — |
| 96 | Q8×D7 | C22×C3 | 1 | 2 | yes | — |
| 97 | Q8×D7 | C22×C3 | 1 | 1 | yes | characteristic |
| 98 | Q8×D7 | C22×C3 | 1 | 2 | yes | complemented |
| 99 | #1159 | — | 2 | 1 | no | — |
| 100 | #1159 | C22×C3 | 1 | 1 | yes | characteristic |
| 101 | D4×D7 | — | 2 | 1 | no | — |
| 102 | D4×D7 | C22×C3 | 1 | 1 | yes | characteristic |
| 103 | #1157 | — | 2 | 1 | no | — |
| 104 | #1157 | C22×C3 | 1 | 1 | yes | characteristic |
| 105 | C2×C4×D7 | — | 2 | 1 | no | — |
| 106 | C2×C4×D7 | — | 2 | 1 | no | — |
| 107 | C2×C4×D7 | C22×C3 | 1 | 1 | yes | characteristic |
| 108 | C2×Dic14 | — | 2 | 1 | no | — |
| 109 | C2×Dic14 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 110 | C7×Q16 | C22×C3 | 1 | 2 | yes | complemented |
| 111 | C7×SD16 | C22×C3 | 1 | 2 | yes | complemented |
| 112 | C7×M16 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 113 | #1144 | C22×C3 | 1 | 2 | yes | complemented |
| 114 | #1144 | C22×C3 | 1 | 2 | yes | complemented |
| 115 | #1143 | C22×C3 | 1 | 2 | yes | complemented |
| 116 | #1142 | C22×C3 | 1 | 2 | yes | complemented |
| 117 | #1136 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 118 | Dic28 | C22×C3 | 1 | 2 | yes | complemented |
| 119 | #1132 | C22×C3 | 1 | 2 | yes | complemented |
| 120 | #1131 | C22×C3 | 1 | 2 | yes | complemented |
| 121 | C8×D7 | C22×C3 | 1 | 2 | yes | — |
| 122 | C2×C3×#41 | — | 7 | 1 | no | — |
| 123 | C22×C3×Q8 | — | 7 | 1 | no | — |
| 124 | C3×#137 | — | 7 | 1 | no | — |
| 125 | C3×#137 | — | 7 | 2 | no | — |
| 126 | C3×#137 | — | 7 | 2 | no | — |
| 127 | C3×#137 | — | 7 | 1 | no | — |
| 128 | C3×#137 | — | 7 | 1 | no | — |
| 129 | C3×#137 | — | 7 | 1 | no | — |
| 130 | C2×C3×Q16 | — | 7 | 2 | no | — |
| 131 | C2×C3×SD16 | — | 7 | 2 | no | — |
| 132 | C2×C3×M16 | — | 7 | 1 | no | — |
| 133 | C22×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 134 | C22×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 135 | C2×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 136 | C2×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 137 | C2×AGL(1,𝔽7) | — | 4 | 2 | no | — |
| 138 | C2×AGL(1,𝔽7) | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | C2×AGL(1,𝔽7) | C2×D4 | 1 | 1 | yes | characteristic |
| 140 | C4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 141 | C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 142 | C4×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 143 | C4×ΓL(1,𝔽8) | C24 | 1 | 1 | yes | characteristic |
| 144 | ΓL(1,𝔽8)⋊C4 | — | 2 | 2 | no | — |
| 145 | ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 146 | ΓL(1,𝔽8)⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 147 | ΓL(1,𝔽8)⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 148 | C2×#137 | — | 7 | 1 | no | Sylow |
| 149 | C22×D7 | — | 2 | 1 | no | — |
| 150 | C22×D7 | C3×D4 | 1 | 1 | yes | characteristic |
| 151 | C7×Q8 | — | 2 | 1 | no | — |
| 152 | C7×Q8 | C23×C3 | 1 | 2 | yes | — |
| 153 | C7×Q8 | C23×C3 | 1 | 1 | yes | characteristic |
| 154 | C7×D4 | — | 2 | 1 | no | — |
| 155 | C7×D4 | C23×C3 | 1 | 1 | yes | characteristic |
| 156 | C2×C4×C7 | — | 2 | 1 | no | — |
| 157 | C2×C4×C7 | — | 2 | 1 | no | — |
| 158 | C2×C4×C7 | C23×C3 | 1 | 1 | yes | characteristic |
| 159 | C22⋊D7 | — | 2 | 1 | no | — |
| 160 | C22⋊D7 | — | 2 | 1 | no | — |
| 161 | C22⋊D7 | — | 2 | 1 | no | — |
| 162 | C2×Dic7 | — | 2 | 1 | no | — |
| 163 | C2×Dic7 | — | 2 | 1 | no | — |
| 164 | C2×Dic7 | C3×D4 | 1 | 1 | yes | characteristic |
| 165 | D28 | — | 2 | 1 | no | — |
| 166 | D28 | C23×C3 | 1 | 1 | yes | characteristic |
| 167 | C4×D7 | — | 2 | 1 | no | — |
| 168 | C4×D7 | — | 2 | 2 | no | — |
| 169 | C4×D7 | — | 2 | 2 | no | — |
| 170 | C4×D7 | — | 2 | 1 | no | — |
| 171 | C4×D7 | — | 2 | 1 | no | — |
| 172 | C4×D7 | C3×D4 | 1 | 1 | yes | characteristic |
| 173 | C4×D7 | C3×D4 | 1 | 1 | yes | characteristic |
| 174 | C4×D7 | C23×C3 | 1 | 1 | yes | characteristic |
| 175 | C4×D7 | C23×C3 | 1 | 1 | yes | characteristic |
| 176 | Dic14 | — | 2 | 1 | no | — |
| 177 | Dic14 | — | 2 | 2 | no | — |
| 178 | Dic14 | — | 2 | 2 | no | — |
| 179 | Dic14 | — | 2 | 1 | no | — |
| 180 | Dic14 | C23×C3 | 1 | 2 | yes | — |
| 181 | Dic14 | C23×C3 | 1 | 1 | yes | characteristic |
| 182 | C7×C8 | C23×C3 | 1 | 2 | yes | — |
| 183 | C7⋊C8 | C23×C3 | 1 | 2 | yes | — |
| 184 | C3×#41 | — | 7 | 1 | no | — |
| 185 | C3×#41 | — | 7 | 1 | no | — |
| 186 | C3×#41 | — | 7 | 1 | no | — |
| 187 | C3×#41 | — | 7 | 1 | no | — |
| 188 | C3×#41 | — | 14 | 1 | no | — |
| 189 | C3×#41 | — | 14 | 1 | no | — |
| 190 | C2×C3×Q8 | — | 7 | 1 | no | — |
| 191 | C2×C3×Q8 | — | 7 | 2 | no | — |
| 192 | C2×C3×Q8 | — | 7 | 1 | no | — |
| 193 | C2×C3×Q8 | — | 7 | 2 | no | — |
| 194 | C2×C3×Q8 | — | 7 | 1 | no | — |
| 195 | C2×C3×Q8 | — | 14 | 1 | no | — |
| 196 | C2×C3×Q8 | — | 14 | 1 | no | — |
| 197 | C2×C3×Q8 | — | 14 | 1 | no | — |
| 198 | C2×C3×D4 | — | 7 | 1 | no | — |
| 199 | C2×C3×D4 | — | 14 | 1 | no | — |
| 200 | C22×C3×C4 | — | 7 | 1 | no | — |
| 201 | C22×C3×C4 | — | 14 | 1 | no | — |
| 202 | C22×C3×C4 | — | 14 | 1 | no | — |
| 203 | C3×Q16 | — | 7 | 2 | no | — |
| 204 | C3×Q16 | — | 7 | 2 | no | — |
| 205 | C3×Q16 | — | 7 | 2 | no | — |
| 206 | C3×Q16 | — | 7 | 2 | no | — |
| 207 | C3×SD16 | — | 7 | 2 | no | — |
| 208 | C3×SD16 | — | 7 | 2 | no | — |
| 209 | C3×SD16 | — | 7 | 2 | no | — |
| 210 | C3×SD16 | — | 7 | 2 | no | — |
| 211 | C3×M16 | — | 7 | 2 | no | — |
| 212 | C3×M16 | — | 7 | 1 | no | — |
| 213 | C3×M16 | — | 7 | 1 | no | — |
| 214 | C2×C3×C8 | — | 7 | 2 | no | — |
| 215 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 216 | C2×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 217 | C2×ΓL(1,𝔽8) | C22×D4 | 1 | 1 | yes | characteristic |
| 218 | AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 219 | AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 220 | AGL(1,𝔽7) | #137 | 1 | 2 | yes | direct product factor |
| 221 | C2×#41 | — | 7 | 1 | no | — |
| 222 | C22×Q8 | — | 7 | 1 | no | — |
| 223 | #137 | — | 7 | 1 | no | — |
| 224 | #137 | — | 7 | 1 | no | — |
| 225 | #137 | — | 7 | 2 | no | — |
| 226 | #137 | — | 7 | 2 | no | — |
| 227 | #137 | — | 7 | 1 | no | — |
| 228 | #137 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic, direct product factor |
| 229 | C2×Q16 | — | 7 | 2 | no | — |
| 230 | C2×SD16 | — | 7 | 2 | no | — |
| 231 | C2×M16 | — | 7 | 1 | no | — |
| 232 | C22×C7 | — | 2 | 1 | no | — |
| 233 | C22×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 234 | C2×D7 | — | 2 | 2 | no | — |
| 235 | C2×D7 | — | 2 | 1 | no | — |
| 236 | C2×D7 | — | 4 | 2 | no | — |
| 237 | C2×D7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 238 | C2×D7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 239 | C4×C7 | — | 2 | 2 | no | — |
| 240 | C4×C7 | — | 2 | 1 | no | — |
| 241 | C4×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 242 | C4×C7 | C24×C3 | 1 | 1 | yes | characteristic |
| 243 | Dic7 | — | 2 | 2 | no | — |
| 244 | Dic7 | — | 2 | 1 | no | — |
| 245 | Dic7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 246 | Dic7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 247 | C23×C3 | — | 7 | 1 | no | — |
| 248 | C23×C3 | — | 14 | 1 | no | — |
| 249 | C3×Q8 | — | 7 | 2 | no | — |
| 250 | C3×Q8 | — | 7 | 1 | no | — |
| 251 | C3×Q8 | — | 7 | 2 | no | — |
| 252 | C3×Q8 | — | 7 | 1 | no | — |
| 253 | C3×Q8 | — | 14 | 1 | no | — |
| 254 | C3×Q8 | — | 14 | 2 | no | — |
| 255 | C3×Q8 | — | 14 | 2 | no | — |
| 256 | C3×Q8 | — | 14 | 1 | no | — |
| 257 | C3×Q8 | — | 14 | 1 | no | — |
| 258 | C3×D4 | — | 7 | 1 | no | — |
| 259 | C3×D4 | — | 7 | 1 | no | — |
| 260 | C3×D4 | — | 14 | 1 | no | — |
| 261 | C3×D4 | — | 14 | 1 | no | — |
| 262 | C3×D4 | — | 14 | 1 | no | — |
| 263 | C3×D4 | — | 14 | 1 | no | — |
| 264 | C3×D4 | — | 14 | 1 | no | — |
| 265 | C2×C3×C4 | — | 7 | 1 | no | — |
| 266 | C2×C3×C4 | — | 7 | 1 | no | — |
| 267 | C2×C3×C4 | — | 7 | 1 | no | — |
| 268 | C2×C3×C4 | — | 7 | 1 | no | — |
| 269 | C2×C3×C4 | — | 7 | 1 | no | — |
| 270 | C2×C3×C4 | — | 7 | 1 | no | — |
| 271 | C2×C3×C4 | — | 14 | 1 | no | — |
| 272 | C2×C3×C4 | — | 14 | 1 | no | — |
| 273 | C2×C3×C4 | — | 14 | 1 | no | — |
| 274 | C2×C3×C4 | — | 14 | 1 | no | — |
| 275 | C2×C3×C4 | — | 14 | 1 | no | — |
| 276 | C2×C3×C4 | — | 14 | 1 | no | — |
| 277 | C2×C3×C4 | — | 14 | 2 | no | — |
| 278 | C2×C3×C4 | — | 14 | 2 | no | — |
| 279 | C2×C3×C4 | — | 14 | 1 | no | — |
| 280 | C3×C8 | — | 7 | 2 | no | — |
| 281 | C3×C8 | — | 7 | 2 | no | — |
| 282 | ΓL(1,𝔽8) | C2×#137 | 1 | 1 | yes | characteristic, complemented, Hall |
| 283 | #41 | — | 7 | 1 | no | — |
| 284 | #41 | — | 7 | 1 | no | — |
| 285 | #41 | — | 7 | 1 | no | — |
| 286 | #41 | — | 14 | 1 | no | — |
| 287 | #41 | — | 14 | 1 | no | — |
| 288 | #41 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 289 | C2×Q8 | — | 7 | 2 | no | — |
| 290 | C2×Q8 | — | 7 | 1 | no | — |
| 291 | C2×Q8 | — | 7 | 2 | no | — |
| 292 | C2×Q8 | — | 7 | 1 | no | — |
| 293 | C2×Q8 | — | 14 | 1 | no | — |
| 294 | C2×Q8 | — | 14 | 1 | no | — |
| 295 | C2×Q8 | — | 14 | 1 | no | — |
| 296 | C2×Q8 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 297 | C2×D4 | — | 7 | 1 | no | — |
| 298 | C2×D4 | — | 14 | 1 | no | — |
| 299 | C22×C4 | — | 7 | 1 | no | — |
| 300 | C22×C4 | — | 14 | 1 | no | — |
| 301 | C22×C4 | — | 14 | 1 | no | — |
| 302 | Q16 | — | 7 | 2 | no | — |
| 303 | Q16 | — | 7 | 2 | no | — |
| 304 | Q16 | — | 7 | 2 | no | — |
| 305 | Q16 | C2×AGL(1,𝔽7) | 1 | 2 | yes | complemented |
| 306 | SD16 | — | 7 | 2 | no | — |
| 307 | SD16 | — | 7 | 2 | no | — |
| 308 | SD16 | — | 7 | 2 | no | — |
| 309 | SD16 | C2×AGL(1,𝔽7) | 1 | 2 | yes | complemented |
| 310 | M16 | — | 7 | 1 | no | — |
| 311 | M16 | — | 7 | 2 | no | — |
| 312 | M16 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 313 | C2×C8 | — | 7 | 2 | no | — |
| 314 | C2×C7 | — | 2 | 1 | no | — |
| 315 | C2×C7 | — | 4 | 1 | no | — |
| 316 | C2×C7 | C22×C3×D4 | 1 | 1 | yes | characteristic |
| 317 | D7 | — | 2 | 1 | no | — |
| 318 | D7 | — | 4 | 1 | no | — |
| 319 | D7 | C3×#137 | 1 | 2 | yes | complemented |
| 320 | C22×C3 | — | 7 | 1 | no | — |
| 321 | C22×C3 | — | 7 | 1 | no | — |
| 322 | C22×C3 | — | 7 | 1 | no | — |
| 323 | C22×C3 | — | 14 | 1 | no | — |
| 324 | C22×C3 | — | 14 | 2 | no | — |
| 325 | C22×C3 | — | 14 | 1 | no | — |
| 326 | C22×C3 | — | 28 | 2 | no | — |
| 327 | C3×C4 | — | 7 | 1 | no | — |
| 328 | C3×C4 | — | 7 | 1 | no | — |
| 329 | C3×C4 | — | 7 | 1 | no | — |
| 330 | C3×C4 | — | 7 | 1 | no | — |
| 331 | C3×C4 | — | 14 | 1 | no | — |
| 332 | C3×C4 | — | 14 | 2 | no | — |
| 333 | C3×C4 | — | 14 | 1 | no | — |
| 334 | C3×C4 | — | 14 | 2 | no | — |
| 335 | C23 | — | 7 | 1 | no | — |
| 336 | C23 | — | 14 | 1 | no | — |
| 337 | Q8 | — | 2 | 1 | no | — |
| 338 | Q8 | — | 7 | 2 | no | — |
| 339 | Q8 | — | 7 | 1 | no | — |
| 340 | Q8 | — | 14 | 2 | no | — |
| 341 | Q8 | — | 14 | 2 | no | — |
| 342 | Q8 | — | 14 | 1 | no | — |
| 343 | Q8 | — | 14 | 1 | no | — |
| 344 | Q8 | C22×AGL(1,𝔽7) | 1 | 2 | yes | — |
| 345 | Q8 | C22×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 346 | D4 | — | 2 | 1 | no | — |
| 347 | D4 | — | 7 | 1 | no | — |
| 348 | D4 | — | 14 | 1 | no | — |
| 349 | D4 | — | 14 | 1 | no | — |
| 350 | D4 | — | 14 | 1 | no | — |
| 351 | D4 | — | 14 | 1 | no | — |
| 352 | D4 | C22×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 353 | C2×C4 | — | 2 | 1 | no | — |
| 354 | C2×C4 | — | 2 | 1 | no | — |
| 355 | C2×C4 | — | 7 | 1 | no | — |
| 356 | C2×C4 | — | 7 | 1 | no | — |
| 357 | C2×C4 | — | 7 | 1 | no | — |
| 358 | C2×C4 | — | 7 | 1 | no | — |
| 359 | C2×C4 | — | 7 | 1 | no | — |
| 360 | C2×C4 | — | 14 | 1 | no | — |
| 361 | C2×C4 | — | 14 | 1 | no | — |
| 362 | C2×C4 | — | 14 | 2 | no | — |
| 363 | C2×C4 | — | 14 | 2 | no | — |
| 364 | C2×C4 | — | 14 | 1 | no | — |
| 365 | C2×C4 | — | 14 | 1 | no | — |
| 366 | C2×C4 | — | 14 | 1 | no | — |
| 367 | C2×C4 | C22×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 368 | C8 | — | 7 | 2 | no | — |
| 369 | C8 | C22×AGL(1,𝔽7) | 1 | 2 | yes | — |
| 370 | C7 | C2×C3×#137 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 371 | C2×C3 | — | 7 | 2 | no | — |
| 372 | C2×C3 | — | 7 | 1 | no | — |
| 373 | C2×C3 | — | 14 | 1 | no | — |
| 374 | C2×C3 | — | 14 | 1 | no | — |
| 375 | C2×C3 | — | 28 | 1 | no | — |
| 376 | C2×C3 | — | 28 | 1 | no | — |
| 377 | C22 | — | 2 | 1 | no | — |
| 378 | C22 | — | 7 | 1 | no | — |
| 379 | C22 | — | 7 | 1 | no | — |
| 380 | C22 | — | 14 | 2 | no | — |
| 381 | C22 | — | 14 | 1 | no | — |
| 382 | C22 | — | 28 | 2 | no | — |
| 383 | C22 | D4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 384 | C4 | — | 2 | 1 | no | — |
| 385 | C4 | — | 2 | 2 | no | — |
| 386 | C4 | — | 7 | 1 | no | — |
| 387 | C4 | — | 7 | 1 | no | — |
| 388 | C4 | — | 14 | 1 | no | — |
| 389 | C4 | — | 14 | 2 | no | — |
| 390 | C4 | D4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 391 | C4 | C23×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 392 | C3 | — | 7 | 1 | no | Sylow |
| 393 | C2 | — | 2 | 1 | no | — |
| 394 | C2 | — | 4 | 1 | no | — |
| 395 | C2 | — | 7 | 2 | no | — |
| 396 | C2 | — | 14 | 1 | no | — |
| 397 | C2 | — | 28 | 1 | no | — |
| 398 | C2 | C2×D4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta