| 1 | ΓL(1,𝔽8)×#575 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | ΓL(1,𝔽8)×#568 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | ΓL(1,𝔽8)×#444 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | ΓL(1,𝔽8)×#443 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | ΓL(1,𝔽8)×#430 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×ΓL(1,𝔽8)×#104 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C4×M16×ΓL(1,𝔽8) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C7×#2956 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 9 | C2×#41×ΓL(1,𝔽8) | C22 | 1 | 2 | yes | — |
| 10 | ΓL(1,𝔽8)×#137 | C4 | 1 | 4 | yes | complemented |
| 11 | ΓL(1,𝔽8)×AGL(1,ℤ/8) | C4 | 1 | 4 | yes | complemented |
| 12 | ΓL(1,𝔽8)×#135 | C22 | 1 | 4 | yes | — |
| 13 | ΓL(1,𝔽8)×#131 | — | 2 | 4 | no | — |
| 14 | ΓL(1,𝔽8)×#131 | C22 | 1 | 8 | yes | complemented |
| 15 | C2×M16×ΓL(1,𝔽8) | — | 2 | 4 | no | — |
| 16 | C2×M16×ΓL(1,𝔽8) | C22 | 1 | 2 | yes | — |
| 17 | C2×M16×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×M16×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C42×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic |
| 20 | ΓL(1,𝔽8)×#108 | C22 | 1 | 4 | yes | complemented |
| 21 | ΓL(1,𝔽8)×#104 | C22 | 1 | 4 | yes | complemented |
| 22 | ΓL(1,𝔽8)×#104 | C22 | 1 | 4 | yes | complemented |
| 23 | ΓL(1,𝔽8)×#97 | C22 | 1 | 2 | yes | complemented |
| 24 | C4×C8×ΓL(1,𝔽8) | C22 | 1 | 2 | yes | complemented |
| 25 | C7×#575 | C2×C3 | 1 | 1 | yes | characteristic |
| 26 | C7×#568 | C2×C3 | 1 | 2 | yes | complemented |
| 27 | C7×#444 | C2×C3 | 1 | 4 | yes | complemented |
| 28 | C7×#443 | C2×C3 | 1 | 4 | yes | complemented |
| 29 | C7×#430 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 30 | C2×C7×#104 | C2×C3 | 1 | 2 | yes | complemented |
| 31 | C4×C7×M16 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 32 | C3×#2956 | — | 7 | 1 | no | maximal, Hall |
| 33 | #41×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 34 | #41×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 35 | #41×ΓL(1,𝔽8) | C2×C4 | 1 | 4 | yes | — |
| 36 | #41×ΓL(1,𝔽8) | C23 | 1 | 4 | yes | — |
| 37 | C2×Q8×ΓL(1,𝔽8) | C2×C4 | 1 | 2 | yes | — |
| 38 | C2×D4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 39 | C2×D4×ΓL(1,𝔽8) | C2×C4 | 1 | 2 | yes | — |
| 40 | C22×C4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 41 | C22×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 42 | C22×C4×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 43 | Q16×ΓL(1,𝔽8) | C2×C4 | 1 | 4 | yes | complemented |
| 44 | SD16×ΓL(1,𝔽8) | C2×C4 | 1 | 8 | yes | complemented |
| 45 | D8×ΓL(1,𝔽8) | C2×C4 | 1 | 4 | yes | complemented |
| 46 | M16×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 47 | M16×ΓL(1,𝔽8) | — | 2 | 8 | no | — |
| 48 | M16×ΓL(1,𝔽8) | C2×C4 | 1 | 4 | yes | — |
| 49 | M16×ΓL(1,𝔽8) | D4 | 1 | 4 | yes | — |
| 50 | M16×ΓL(1,𝔽8) | C23 | 1 | 4 | yes | — |
| 51 | C2×C8×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 52 | C2×C8×ΓL(1,𝔽8) | — | 2 | 8 | no | — |
| 53 | C2×C8×ΓL(1,𝔽8) | C23 | 1 | 2 | yes | — |
| 54 | C2×C8×ΓL(1,𝔽8) | C23 | 1 | 2 | yes | — |
| 55 | C42×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 56 | C42×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 57 | C42×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 58 | C2×C7×#41 | C22×C3 | 1 | 2 | yes | — |
| 59 | C7×#137 | C3×C4 | 1 | 4 | yes | complemented |
| 60 | C7×AGL(1,ℤ/8) | C3×C4 | 1 | 4 | yes | complemented |
| 61 | C7×#135 | C22×C3 | 1 | 4 | yes | — |
| 62 | C7×#131 | — | 2 | 4 | no | — |
| 63 | C7×#131 | C22×C3 | 1 | 8 | yes | complemented |
| 64 | C2×C7×M16 | — | 2 | 4 | no | — |
| 65 | C2×C7×M16 | C22×C3 | 1 | 2 | yes | — |
| 66 | C2×C7×M16 | C22×C3 | 1 | 1 | yes | characteristic |
| 67 | C2×C7×M16 | C22×C3 | 1 | 1 | yes | characteristic |
| 68 | C2×C42×C7 | C22×C3 | 1 | 1 | yes | characteristic |
| 69 | C7×#108 | C22×C3 | 1 | 4 | yes | complemented |
| 70 | C7×#104 | C22×C3 | 1 | 4 | yes | complemented |
| 71 | C7×#104 | C22×C3 | 1 | 4 | yes | complemented |
| 72 | C7×#97 | C22×C3 | 1 | 2 | yes | complemented |
| 73 | C4×C7×C8 | C22×C3 | 1 | 2 | yes | complemented |
| 74 | C3×#575 | — | 7 | 1 | no | — |
| 75 | C3×#568 | — | 7 | 2 | no | — |
| 76 | C3×#444 | — | 7 | 4 | no | — |
| 77 | C3×#443 | — | 7 | 4 | no | — |
| 78 | C3×#430 | — | 7 | 1 | no | — |
| 79 | C2×C3×#104 | — | 7 | 2 | no | — |
| 80 | C3×C4×M16 | — | 7 | 1 | no | — |
| 81 | C23×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 82 | C23×ΓL(1,𝔽8) | #41 | 1 | 1 | yes | characteristic |
| 83 | Q8×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 84 | Q8×ΓL(1,𝔽8) | C22×C4 | 1 | 4 | yes | — |
| 85 | D4×ΓL(1,𝔽8) | — | 2 | 4 | no | — |
| 86 | D4×ΓL(1,𝔽8) | — | 2 | 4 | no | — |
| 87 | D4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 88 | D4×ΓL(1,𝔽8) | C22×C4 | 1 | 4 | yes | — |
| 89 | C2×C4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 90 | C2×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 91 | C2×C4×ΓL(1,𝔽8) | — | 2 | 4 | no | — |
| 92 | C2×C4×ΓL(1,𝔽8) | — | 2 | 4 | no | — |
| 93 | C2×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 94 | C2×C4×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 95 | C2×C4×ΓL(1,𝔽8) | C22×C4 | 1 | 2 | yes | — |
| 96 | C2×C4×ΓL(1,𝔽8) | C2×D4 | 1 | 2 | yes | — |
| 97 | C2×C4×ΓL(1,𝔽8) | #41 | 1 | 1 | yes | characteristic |
| 98 | C2×C4×ΓL(1,𝔽8) | C24 | 1 | 1 | yes | characteristic |
| 99 | C8×ΓL(1,𝔽8) | — | 2 | 4 | no | — |
| 100 | C8×ΓL(1,𝔽8) | C22×C4 | 1 | 4 | yes | — |
| 101 | C8×ΓL(1,𝔽8) | C2×D4 | 1 | 4 | yes | — |
| 102 | #2956 | ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 103 | C7×#41 | — | 2 | 2 | no | — |
| 104 | C7×#41 | — | 2 | 2 | no | — |
| 105 | C7×#41 | C2×C3×C4 | 1 | 4 | yes | — |
| 106 | C7×#41 | C23×C3 | 1 | 4 | yes | — |
| 107 | C2×C7×Q8 | C2×C3×C4 | 1 | 2 | yes | — |
| 108 | C2×C7×D4 | — | 2 | 2 | no | — |
| 109 | C2×C7×D4 | C2×C3×C4 | 1 | 2 | yes | — |
| 110 | C22×C4×C7 | — | 2 | 2 | no | — |
| 111 | C22×C4×C7 | — | 2 | 1 | no | — |
| 112 | C22×C4×C7 | C23×C3 | 1 | 1 | yes | characteristic |
| 113 | C7×Q16 | C2×C3×C4 | 1 | 4 | yes | complemented |
| 114 | C7×SD16 | C2×C3×C4 | 1 | 8 | yes | complemented |
| 115 | C7×D8 | C2×C3×C4 | 1 | 4 | yes | complemented |
| 116 | C7×M16 | — | 2 | 2 | no | — |
| 117 | C7×M16 | — | 2 | 8 | no | — |
| 118 | C7×M16 | C2×C3×C4 | 1 | 4 | yes | — |
| 119 | C7×M16 | C3×D4 | 1 | 4 | yes | — |
| 120 | C7×M16 | C23×C3 | 1 | 4 | yes | — |
| 121 | C2×C7×C8 | — | 2 | 2 | no | — |
| 122 | C2×C7×C8 | — | 2 | 8 | no | — |
| 123 | C2×C7×C8 | C23×C3 | 1 | 2 | yes | — |
| 124 | C2×C7×C8 | C23×C3 | 1 | 2 | yes | — |
| 125 | C42×C7 | — | 2 | 1 | no | — |
| 126 | C42×C7 | C23×C3 | 1 | 1 | yes | characteristic |
| 127 | C42×C7 | C23×C3 | 1 | 1 | yes | characteristic |
| 128 | C2×C3×#41 | — | 7 | 2 | no | — |
| 129 | C3×#137 | — | 7 | 4 | no | — |
| 130 | C3×AGL(1,ℤ/8) | — | 7 | 4 | no | — |
| 131 | C3×#135 | — | 7 | 4 | no | — |
| 132 | C3×#131 | — | 7 | 8 | no | — |
| 133 | C3×#131 | — | 14 | 4 | no | — |
| 134 | C2×C3×M16 | — | 7 | 1 | no | — |
| 135 | C2×C3×M16 | — | 7 | 2 | no | — |
| 136 | C2×C3×M16 | — | 7 | 1 | no | — |
| 137 | C2×C3×M16 | — | 14 | 4 | no | — |
| 138 | C2×C3×C42 | — | 7 | 1 | no | — |
| 139 | C3×#108 | — | 7 | 4 | no | — |
| 140 | C3×#104 | — | 7 | 4 | no | — |
| 141 | C3×#104 | — | 7 | 4 | no | — |
| 142 | C3×#97 | — | 7 | 2 | no | — |
| 143 | C3×C4×C8 | — | 7 | 2 | no | — |
| 144 | C22×ΓL(1,𝔽8) | — | 2 | 4 | no | — |
| 145 | C22×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 146 | C22×ΓL(1,𝔽8) | — | 8 | 2 | no | — |
| 147 | C22×ΓL(1,𝔽8) | C4×D4 | 1 | 2 | yes | — |
| 148 | C22×ΓL(1,𝔽8) | C2×#41 | 1 | 1 | yes | characteristic |
| 149 | C4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 150 | C4×ΓL(1,𝔽8) | — | 2 | 4 | no | — |
| 151 | C4×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 152 | C4×ΓL(1,𝔽8) | C4×D4 | 1 | 2 | yes | — |
| 153 | C4×ΓL(1,𝔽8) | C23×C4 | 1 | 1 | yes | characteristic |
| 154 | C4×ΓL(1,𝔽8) | C22×D4 | 1 | 1 | yes | characteristic |
| 155 | #575 | C2×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 156 | #568 | C2×ΓL(1,𝔽8) | 1 | 2 | yes | complemented |
| 157 | #444 | C2×ΓL(1,𝔽8) | 1 | 4 | yes | complemented |
| 158 | #443 | C2×ΓL(1,𝔽8) | 1 | 4 | yes | complemented |
| 159 | #430 | C2×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 160 | C2×#104 | C2×ΓL(1,𝔽8) | 1 | 2 | yes | complemented |
| 161 | C4×M16 | C2×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 162 | C23×C7 | — | 2 | 2 | no | — |
| 163 | C23×C7 | C3×#41 | 1 | 1 | yes | characteristic |
| 164 | C7×Q8 | — | 2 | 2 | no | — |
| 165 | C7×Q8 | C22×C3×C4 | 1 | 4 | yes | — |
| 166 | C7×D4 | — | 2 | 4 | no | — |
| 167 | C7×D4 | — | 2 | 4 | no | — |
| 168 | C7×D4 | — | 2 | 2 | no | — |
| 169 | C7×D4 | C22×C3×C4 | 1 | 4 | yes | — |
| 170 | C2×C4×C7 | — | 2 | 2 | no | — |
| 171 | C2×C4×C7 | — | 2 | 1 | no | — |
| 172 | C2×C4×C7 | — | 2 | 4 | no | — |
| 173 | C2×C4×C7 | — | 2 | 4 | no | — |
| 174 | C2×C4×C7 | — | 2 | 1 | no | — |
| 175 | C2×C4×C7 | — | 4 | 2 | no | — |
| 176 | C2×C4×C7 | C22×C3×C4 | 1 | 2 | yes | — |
| 177 | C2×C4×C7 | C2×C3×D4 | 1 | 2 | yes | — |
| 178 | C2×C4×C7 | C3×#41 | 1 | 1 | yes | characteristic |
| 179 | C2×C4×C7 | C24×C3 | 1 | 1 | yes | characteristic |
| 180 | C7×C8 | — | 2 | 4 | no | — |
| 181 | C7×C8 | C22×C3×C4 | 1 | 4 | yes | — |
| 182 | C7×C8 | C2×C3×D4 | 1 | 4 | yes | — |
| 183 | C3×#41 | — | 7 | 4 | no | — |
| 184 | C3×#41 | — | 7 | 4 | no | — |
| 185 | C3×#41 | — | 14 | 2 | no | — |
| 186 | C3×#41 | — | 14 | 2 | no | — |
| 187 | C2×C3×Q8 | — | 7 | 2 | no | — |
| 188 | C2×C3×D4 | — | 7 | 2 | no | — |
| 189 | C2×C3×D4 | — | 14 | 2 | no | — |
| 190 | C22×C3×C4 | — | 7 | 1 | no | — |
| 191 | C22×C3×C4 | — | 14 | 2 | no | — |
| 192 | C22×C3×C4 | — | 14 | 1 | no | — |
| 193 | C3×Q16 | — | 7 | 4 | no | — |
| 194 | C3×SD16 | — | 7 | 8 | no | — |
| 195 | C3×D8 | — | 7 | 4 | no | — |
| 196 | C3×M16 | — | 7 | 4 | no | — |
| 197 | C3×M16 | — | 7 | 4 | no | — |
| 198 | C3×M16 | — | 7 | 4 | no | — |
| 199 | C3×M16 | — | 14 | 8 | no | — |
| 200 | C3×M16 | — | 14 | 2 | no | — |
| 201 | C2×C3×C8 | — | 7 | 2 | no | — |
| 202 | C2×C3×C8 | — | 7 | 2 | no | — |
| 203 | C2×C3×C8 | — | 14 | 8 | no | — |
| 204 | C2×C3×C8 | — | 14 | 2 | no | — |
| 205 | C3×C42 | — | 7 | 1 | no | — |
| 206 | C3×C42 | — | 7 | 1 | no | — |
| 207 | C3×C42 | — | 14 | 1 | no | — |
| 208 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 209 | C2×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 210 | C2×ΓL(1,𝔽8) | — | 4 | 4 | no | — |
| 211 | C2×ΓL(1,𝔽8) | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 212 | C2×#41 | C22×ΓL(1,𝔽8) | 1 | 2 | yes | — |
| 213 | #137 | C4×ΓL(1,𝔽8) | 1 | 4 | yes | complemented |
| 214 | AGL(1,ℤ/8) | C4×ΓL(1,𝔽8) | 1 | 4 | yes | complemented |
| 215 | #135 | C22×ΓL(1,𝔽8) | 1 | 4 | yes | — |
| 216 | #131 | — | 2 | 4 | no | — |
| 217 | #131 | C22×ΓL(1,𝔽8) | 1 | 8 | yes | complemented |
| 218 | C2×M16 | — | 2 | 4 | no | — |
| 219 | C2×M16 | C22×ΓL(1,𝔽8) | 1 | 2 | yes | — |
| 220 | C2×M16 | C22×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 221 | C2×M16 | C22×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 222 | C2×C42 | C22×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 223 | #108 | C22×ΓL(1,𝔽8) | 1 | 4 | yes | complemented |
| 224 | #104 | C22×ΓL(1,𝔽8) | 1 | 4 | yes | complemented |
| 225 | #104 | C22×ΓL(1,𝔽8) | 1 | 4 | yes | complemented |
| 226 | #97 | C22×ΓL(1,𝔽8) | 1 | 2 | yes | complemented |
| 227 | C4×C8 | C22×ΓL(1,𝔽8) | 1 | 2 | yes | complemented |
| 228 | C22×C7 | — | 2 | 4 | no | — |
| 229 | C22×C7 | — | 4 | 1 | no | — |
| 230 | C22×C7 | — | 8 | 2 | no | — |
| 231 | C22×C7 | C3×C4×D4 | 1 | 2 | yes | — |
| 232 | C22×C7 | C2×C3×#41 | 1 | 1 | yes | characteristic |
| 233 | C4×C7 | — | 2 | 2 | no | — |
| 234 | C4×C7 | — | 2 | 4 | no | — |
| 235 | C4×C7 | — | 4 | 1 | no | — |
| 236 | C4×C7 | C3×C4×D4 | 1 | 2 | yes | — |
| 237 | C4×C7 | C23×C3×C4 | 1 | 1 | yes | characteristic |
| 238 | C4×C7 | C22×C3×D4 | 1 | 1 | yes | characteristic |
| 239 | C23×C3 | — | 7 | 1 | no | — |
| 240 | C23×C3 | — | 14 | 2 | no | — |
| 241 | C3×Q8 | — | 7 | 4 | no | — |
| 242 | C3×Q8 | — | 14 | 2 | no | — |
| 243 | C3×D4 | — | 7 | 4 | no | — |
| 244 | C3×D4 | — | 14 | 2 | no | — |
| 245 | C3×D4 | — | 14 | 4 | no | — |
| 246 | C3×D4 | — | 14 | 4 | no | — |
| 247 | C2×C3×C4 | — | 7 | 2 | no | — |
| 248 | C2×C3×C4 | — | 7 | 2 | no | — |
| 249 | C2×C3×C4 | — | 7 | 1 | no | — |
| 250 | C2×C3×C4 | — | 7 | 1 | no | — |
| 251 | C2×C3×C4 | — | 14 | 4 | no | — |
| 252 | C2×C3×C4 | — | 14 | 4 | no | — |
| 253 | C2×C3×C4 | — | 14 | 1 | no | — |
| 254 | C2×C3×C4 | — | 14 | 2 | no | — |
| 255 | C2×C3×C4 | — | 14 | 1 | no | — |
| 256 | C2×C3×C4 | — | 28 | 2 | no | — |
| 257 | C3×C8 | — | 7 | 4 | no | — |
| 258 | C3×C8 | — | 7 | 4 | no | — |
| 259 | C3×C8 | — | 14 | 4 | no | — |
| 260 | ΓL(1,𝔽8) | #2956 | 1 | 1 | yes | characteristic, direct product factor, Hall |
| 261 | #41 | — | 2 | 2 | no | — |
| 262 | #41 | — | 2 | 2 | no | — |
| 263 | #41 | C2×C4×ΓL(1,𝔽8) | 1 | 4 | yes | — |
| 264 | #41 | C23×ΓL(1,𝔽8) | 1 | 4 | yes | — |
| 265 | C2×Q8 | C2×C4×ΓL(1,𝔽8) | 1 | 2 | yes | — |
| 266 | C2×D4 | — | 2 | 2 | no | — |
| 267 | C2×D4 | C2×C4×ΓL(1,𝔽8) | 1 | 2 | yes | — |
| 268 | C22×C4 | — | 2 | 2 | no | — |
| 269 | C22×C4 | — | 2 | 1 | no | — |
| 270 | C22×C4 | C23×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 271 | Q16 | C2×C4×ΓL(1,𝔽8) | 1 | 4 | yes | complemented |
| 272 | SD16 | C2×C4×ΓL(1,𝔽8) | 1 | 8 | yes | complemented |
| 273 | D8 | C2×C4×ΓL(1,𝔽8) | 1 | 4 | yes | complemented |
| 274 | M16 | — | 2 | 2 | no | — |
| 275 | M16 | — | 2 | 8 | no | — |
| 276 | M16 | C2×C4×ΓL(1,𝔽8) | 1 | 4 | yes | — |
| 277 | M16 | D4×ΓL(1,𝔽8) | 1 | 4 | yes | — |
| 278 | M16 | C23×ΓL(1,𝔽8) | 1 | 4 | yes | — |
| 279 | C2×C8 | — | 2 | 2 | no | — |
| 280 | C2×C8 | — | 2 | 8 | no | — |
| 281 | C2×C8 | C23×ΓL(1,𝔽8) | 1 | 2 | yes | — |
| 282 | C2×C8 | C23×ΓL(1,𝔽8) | 1 | 2 | yes | — |
| 283 | C42 | — | 2 | 1 | no | — |
| 284 | C42 | C23×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 285 | C42 | C23×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 286 | C2×C7 | — | 2 | 1 | no | — |
| 287 | C2×C7 | — | 2 | 2 | no | — |
| 288 | C2×C7 | — | 4 | 4 | no | — |
| 289 | C2×C7 | C2×C3×C4×D4 | 1 | 1 | yes | characteristic |
| 290 | C22×C3 | — | 7 | 1 | no | — |
| 291 | C22×C3 | — | 7 | 2 | no | — |
| 292 | C22×C3 | — | 14 | 4 | no | — |
| 293 | C22×C3 | — | 28 | 1 | no | — |
| 294 | C22×C3 | — | 56 | 2 | no | — |
| 295 | C3×C4 | — | 7 | 1 | no | — |
| 296 | C3×C4 | — | 7 | 1 | no | — |
| 297 | C3×C4 | — | 7 | 2 | no | — |
| 298 | C3×C4 | — | 14 | 4 | no | — |
| 299 | C3×C4 | — | 14 | 2 | no | — |
| 300 | C3×C4 | — | 28 | 1 | no | — |
| 301 | C23 | — | 2 | 2 | no | — |
| 302 | C23 | #41×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 303 | Q8 | — | 2 | 2 | no | — |
| 304 | Q8 | C22×C4×ΓL(1,𝔽8) | 1 | 4 | yes | — |
| 305 | D4 | — | 2 | 4 | no | — |
| 306 | D4 | — | 2 | 4 | no | — |
| 307 | D4 | — | 2 | 2 | no | — |
| 308 | D4 | C22×C4×ΓL(1,𝔽8) | 1 | 4 | yes | — |
| 309 | C2×C4 | — | 2 | 1 | no | — |
| 310 | C2×C4 | — | 2 | 2 | no | — |
| 311 | C2×C4 | — | 2 | 4 | no | — |
| 312 | C2×C4 | — | 2 | 4 | no | — |
| 313 | C2×C4 | — | 2 | 1 | no | — |
| 314 | C2×C4 | — | 4 | 2 | no | — |
| 315 | C2×C4 | C22×C4×ΓL(1,𝔽8) | 1 | 2 | yes | — |
| 316 | C2×C4 | C2×D4×ΓL(1,𝔽8) | 1 | 2 | yes | — |
| 317 | C2×C4 | #41×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 318 | C2×C4 | C24×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 319 | C8 | — | 2 | 4 | no | — |
| 320 | C8 | C22×C4×ΓL(1,𝔽8) | 1 | 4 | yes | — |
| 321 | C8 | C2×D4×ΓL(1,𝔽8) | 1 | 4 | yes | — |
| 322 | C7 | C3×#2956 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 323 | C2×C3 | — | 7 | 1 | no | — |
| 324 | C2×C3 | — | 14 | 1 | no | — |
| 325 | C2×C3 | — | 14 | 2 | no | — |
| 326 | C2×C3 | — | 28 | 4 | no | — |
| 327 | C22 | — | 2 | 4 | no | — |
| 328 | C22 | — | 4 | 1 | no | — |
| 329 | C22 | — | 8 | 2 | no | — |
| 330 | C22 | C4×D4×ΓL(1,𝔽8) | 1 | 2 | yes | — |
| 331 | C22 | C2×#41×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 332 | C4 | — | 2 | 2 | no | — |
| 333 | C4 | — | 2 | 4 | no | — |
| 334 | C4 | — | 4 | 1 | no | — |
| 335 | C4 | C4×D4×ΓL(1,𝔽8) | 1 | 2 | yes | — |
| 336 | C4 | C23×C4×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 337 | C4 | C22×D4×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 338 | C3 | — | 7 | 1 | no | Sylow |
| 339 | C2 | — | 2 | 1 | no | — |
| 340 | C2 | — | 2 | 2 | no | — |
| 341 | C2 | — | 4 | 4 | no | — |
| 342 | C2 | C2×C4×D4×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta