| 1 | #72245629 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | D3×#1141⋊C3 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72245625 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | D3×#1142⋊C3 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72245554 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72245538 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72245516 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C3×#6495⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | D3×#1136⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | D3×#1157⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C2×D3×D4×ΓL(1,𝔽8) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | D3×#6495 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C2×#6495⋊C3 | — | 3 | 1 | no | maximal |
| 14 | C23×D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 15 | C2×C3×D4×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | #66728⋊C3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | C2×ΓL(1,𝔽8)×#67 | — | 2 | 1 | no | — |
| 18 | D3×D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 19 | D3×D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 20 | D3×D4×ΓL(1,𝔽8) | C22 | 1 | 2 | yes | — |
| 21 | D3×D4×ΓL(1,𝔽8) | C22 | 1 | 2 | yes | complemented |
| 22 | C2×ΓL(1,𝔽8)×D12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×C4×D3×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×#1157⋊C3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | D3×(C22⋊D7)⋊C3 | — | 2 | 1 | no | — |
| 26 | #66683⋊C3 | — | 2 | 1 | no | — |
| 27 | D3×C4⋊AGL(1,𝔽7) | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C4×D3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 29 | #66675⋊C3 | — | 2 | 1 | no | — |
| 30 | #66673⋊C3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | D3×ΓL(1,𝔽8)⋊Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #66669⋊C3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #66633⋊C3 | C22 | 1 | 2 | yes | complemented |
| 34 | #66632⋊C3 | C22 | 1 | 2 | yes | complemented |
| 35 | #66627⋊C3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C3×#1142⋊C3 | C22 | 1 | 2 | yes | complemented |
| 37 | C3×#1141⋊C3 | C22 | 1 | 2 | yes | complemented |
| 38 | C3×#1136⋊C3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #66567⋊C3 | C22 | 1 | 2 | yes | complemented |
| 40 | #66564⋊C3 | C22 | 1 | 2 | yes | complemented |
| 41 | #66562⋊C3 | C22 | 1 | 2 | yes | complemented |
| 42 | #66560⋊C3 | C22 | 1 | 2 | yes | complemented |
| 43 | #66558⋊C3 | C22 | 1 | 2 | yes | complemented |
| 44 | D3×ΓL(1,𝔽8)⋊C8 | C22 | 1 | 2 | yes | complemented |
| 45 | C2×D3×C7×D4 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 46 | C22×D4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 47 | D3×#1157 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 48 | C2×#1157⋊C3 | — | 3 | 1 | no | — |
| 49 | #10621415 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 50 | C3×#6495 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 51 | #10621058 | C2×C3 | 1 | 2 | yes | complemented |
| 52 | #10621056 | C2×C3 | 1 | 2 | yes | complemented |
| 53 | D3×#1142 | C2×C3 | 1 | 2 | yes | complemented |
| 54 | D3×#1141 | C2×C3 | 1 | 2 | yes | complemented |
| 55 | #10620866 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 56 | #10620861 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 57 | D3×#1136 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 58 | C2×#1142⋊C3 | — | 3 | 2 | no | — |
| 59 | #6495⋊C3 | — | 2 | 1 | no | — |
| 60 | #6495⋊C3 | — | 3 | 2 | no | — |
| 61 | #6495⋊C3 | — | 3 | 2 | no | — |
| 62 | #6495⋊C3 | — | 3 | 1 | no | — |
| 63 | #6495⋊C3 | — | 3 | 1 | no | — |
| 64 | #6495⋊C3 | — | 3 | 1 | no | — |
| 65 | #6495⋊C3 | D3 | 1 | 1 | yes | characteristic, direct product factor |
| 66 | C2×#1141⋊C3 | — | 3 | 2 | no | — |
| 67 | C2×#1136⋊C3 | — | 3 | 1 | no | — |
| 68 | C3×D3×AGL(1,ℤ/8) | — | 7 | 1 | no | maximal, Hall |
| 69 | C23×C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 70 | C22×D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 71 | C22×D3×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 72 | C22×D3×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 73 | C22×D3×ΓL(1,𝔽8) | — | 4 | 4 | no | — |
| 74 | C22×D3×ΓL(1,𝔽8) | D4 | 1 | 1 | yes | characteristic |
| 75 | C2×D3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 76 | C3×D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 77 | C3×D4×ΓL(1,𝔽8) | C23 | 1 | 2 | yes | — |
| 78 | C2×C3×C4×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 79 | #4268⋊C3 | — | 2 | 1 | no | — |
| 80 | C4⋊(C3⋊AGL(1,𝔽7)) | C23 | 1 | 1 | yes | characteristic, complemented |
| 81 | C4×C3⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 82 | Dic42⋊C3 | C23 | 1 | 1 | yes | characteristic, complemented |
| 83 | ΓL(1,𝔽8)×#67 | — | 2 | 2 | no | — |
| 84 | ΓL(1,𝔽8)×#67 | — | 2 | 2 | no | — |
| 85 | C2×Dic3×ΓL(1,𝔽8) | D4 | 1 | 1 | yes | characteristic |
| 86 | ΓL(1,𝔽8)×D12 | — | 2 | 1 | no | — |
| 87 | ΓL(1,𝔽8)×D12 | C23 | 1 | 2 | yes | — |
| 88 | C4×D3×ΓL(1,𝔽8) | D4 | 1 | 1 | yes | characteristic |
| 89 | C4×D3×ΓL(1,𝔽8) | D4 | 1 | 1 | yes | characteristic |
| 90 | C4×D3×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 91 | C4×D3×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 92 | C3×(C22⋊D7)⋊C3 | — | 2 | 1 | no | — |
| 93 | C3×C4⋊AGL(1,𝔽7) | C23 | 1 | 1 | yes | characteristic, complemented |
| 94 | C3×C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 95 | C3×ΓL(1,𝔽8)⋊Q8 | C23 | 1 | 1 | yes | characteristic, complemented |
| 96 | #4248⋊C3 | — | 2 | 1 | no | — |
| 97 | #4247⋊C3 | — | 2 | 1 | no | — |
| 98 | #4246⋊C3 | — | 2 | 1 | no | — |
| 99 | #4245⋊C3 | — | 2 | 1 | no | — |
| 100 | (C3⋊AGL(1,𝔽7))⋊C4 | — | 2 | 1 | no | — |
| 101 | D3×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 102 | Dic3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 103 | C3⋊(ΓL(1,𝔽8)⋊C8) | C23 | 1 | 2 | yes | complemented |
| 104 | C3×ΓL(1,𝔽8)⋊C8 | C23 | 1 | 2 | yes | complemented |
| 105 | C2×#6495 | — | 3 | 1 | no | Hall |
| 106 | C23×D3×C7 | — | 2 | 1 | no | — |
| 107 | C24×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 108 | C2×C3×C7×D4 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 109 | #66728 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 110 | C2×C7×#67 | — | 2 | 1 | no | — |
| 111 | D3×C7×D4 | — | 2 | 1 | no | — |
| 112 | D3×C7×D4 | — | 2 | 1 | no | — |
| 113 | D3×C7×D4 | C22×C3 | 1 | 2 | yes | — |
| 114 | D3×C7×D4 | C22×C3 | 1 | 2 | yes | complemented |
| 115 | C2×C7×D12 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 116 | C2×C4×D3×C7 | C22×C3 | 1 | 1 | yes | characteristic |
| 117 | C3×#1157 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 118 | C2×D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 119 | C2×D4×ΓL(1,𝔽8) | — | 3 | 2 | no | — |
| 120 | C2×D4×ΓL(1,𝔽8) | — | 3 | 2 | no | — |
| 121 | C2×D4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 122 | C2×D4×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 123 | C2×D4×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 124 | C2×D4×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 125 | C2×D4×ΓL(1,𝔽8) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 126 | C22×C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 127 | D3×C22⋊D7 | — | 2 | 1 | no | — |
| 128 | #66683 | — | 2 | 1 | no | — |
| 129 | D3×D28 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 130 | C4×D3×D7 | — | 2 | 1 | no | — |
| 131 | #66675 | — | 2 | 1 | no | — |
| 132 | #66673 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 133 | D3×Dic14 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 134 | #66669 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 135 | C2×(C22⋊D7)⋊C3 | — | 6 | 1 | no | — |
| 136 | #1157⋊C3 | — | 2 | 1 | no | — |
| 137 | #1157⋊C3 | — | 3 | 1 | no | — |
| 138 | #1157⋊C3 | — | 3 | 1 | no | — |
| 139 | #1157⋊C3 | — | 3 | 1 | no | — |
| 140 | #1157⋊C3 | — | 6 | 1 | no | — |
| 141 | #1157⋊C3 | — | 6 | 1 | no | — |
| 142 | #1157⋊C3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 143 | C2×C4⋊AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 144 | C2×C4×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 145 | C2×ΓL(1,𝔽8)⋊Q8 | — | 3 | 1 | no | — |
| 146 | #66633 | C22×C3 | 1 | 2 | yes | complemented |
| 147 | #66632 | C22×C3 | 1 | 2 | yes | complemented |
| 148 | #66627 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 149 | C3×#1142 | C22×C3 | 1 | 2 | yes | complemented |
| 150 | C3×#1141 | C22×C3 | 1 | 2 | yes | complemented |
| 151 | C3×#1136 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 152 | #66567 | C22×C3 | 1 | 2 | yes | complemented |
| 153 | #66564 | C22×C3 | 1 | 2 | yes | complemented |
| 154 | #66562 | C22×C3 | 1 | 2 | yes | complemented |
| 155 | #66560 | C22×C3 | 1 | 2 | yes | complemented |
| 156 | #66558 | C22×C3 | 1 | 2 | yes | complemented |
| 157 | D3×C7⋊C8 | C22×C3 | 1 | 2 | yes | complemented |
| 158 | #1142⋊C3 | — | 2 | 2 | no | — |
| 159 | #1142⋊C3 | — | 3 | 2 | no | — |
| 160 | #1142⋊C3 | — | 3 | 2 | no | — |
| 161 | #1142⋊C3 | — | 3 | 2 | no | — |
| 162 | #1142⋊C3 | C2×D3 | 1 | 2 | yes | complemented |
| 163 | #1141⋊C3 | — | 2 | 2 | no | — |
| 164 | #1141⋊C3 | — | 3 | 2 | no | — |
| 165 | #1141⋊C3 | — | 3 | 2 | no | — |
| 166 | #1141⋊C3 | — | 3 | 2 | no | — |
| 167 | #1141⋊C3 | C2×D3 | 1 | 2 | yes | complemented |
| 168 | #1136⋊C3 | — | 2 | 1 | no | — |
| 169 | #1136⋊C3 | — | 3 | 1 | no | — |
| 170 | #1136⋊C3 | — | 3 | 2 | no | — |
| 171 | #1136⋊C3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 172 | C2×ΓL(1,𝔽8)⋊C8 | — | 3 | 2 | no | — |
| 173 | C3×D3×#41 | — | 7 | 1 | no | — |
| 174 | C2×C3×D3×D4 | — | 14 | 1 | no | — |
| 175 | C32×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 176 | C3×#949 | — | 7 | 1 | no | — |
| 177 | C3×#932 | — | 7 | 1 | no | — |
| 178 | C3×#914 | — | 7 | 2 | no | — |
| 179 | C3×D3×SD16 | — | 7 | 2 | no | — |
| 180 | C3×#911 | — | 7 | 2 | no | — |
| 181 | C3×D3×D8 | — | 7 | 2 | no | — |
| 182 | C3×#908 | — | 7 | 1 | no | — |
| 183 | C3×D3×M16 | — | 7 | 1 | no | — |
| 184 | C22×C3×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 185 | C22×C3×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 186 | C22×C3×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 187 | C2×C3⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 188 | C2×D3×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 189 | C2×D3×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 190 | C2×D3×ΓL(1,𝔽8) | — | 4 | 4 | no | — |
| 191 | C2×D3×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 192 | C2×D3×ΓL(1,𝔽8) | — | 4 | 4 | no | — |
| 193 | C2×D3×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | C2×D3×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | C2×C3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 196 | D3×AGL(1,𝔽7) | — | 4 | 2 | no | — |
| 197 | C3×C4×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | C3×C4×ΓL(1,𝔽8) | C24 | 1 | 1 | yes | characteristic |
| 199 | C3⋊(ΓL(1,𝔽8)⋊C4) | — | 2 | 1 | no | — |
| 200 | Dic3×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | Dic3×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | C3×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 203 | C22×C7×D4 | — | 3 | 1 | no | — |
| 204 | C2×#1157 | — | 3 | 1 | no | — |
| 205 | C2×#1142 | — | 3 | 2 | no | — |
| 206 | #6495 | — | 3 | 1 | no | — |
| 207 | #6495 | — | 3 | 1 | no | — |
| 208 | #6495 | — | 3 | 2 | no | — |
| 209 | #6495 | — | 3 | 2 | no | — |
| 210 | #6495 | — | 3 | 1 | no | — |
| 211 | #6495 | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 212 | C2×#1141 | — | 3 | 2 | no | — |
| 213 | C2×#1136 | — | 3 | 1 | no | — |
| 214 | C2×C3×AGL(1,ℤ/8) | — | 21 | 1 | no | — |
| 215 | D3×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 216 | C23×C3×C7 | — | 2 | 1 | no | — |
| 217 | C22×D3×C7 | — | 2 | 1 | no | — |
| 218 | C22×D3×C7 | — | 2 | 2 | no | — |
| 219 | C22×D3×C7 | — | 2 | 2 | no | — |
| 220 | C22×D3×C7 | — | 4 | 4 | no | — |
| 221 | C22×D3×C7 | C3×D4 | 1 | 1 | yes | characteristic |
| 222 | C23×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 223 | C23×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 224 | C23×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 225 | C23×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 226 | C23×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 227 | C23×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 228 | C23×ΓL(1,𝔽8) | — | 12 | 4 | no | — |
| 229 | C2×D3×D7 | — | 2 | 1 | no | — |
| 230 | C22×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 231 | C3×C7×D4 | — | 2 | 1 | no | — |
| 232 | C3×C7×D4 | C23×C3 | 1 | 2 | yes | — |
| 233 | C2×C3×C4×C7 | C23×C3 | 1 | 1 | yes | characteristic |
| 234 | #4268 | — | 2 | 1 | no | — |
| 235 | D84 | C23×C3 | 1 | 1 | yes | characteristic, complemented |
| 236 | C4×D21 | — | 2 | 1 | no | — |
| 237 | Dic42 | C23×C3 | 1 | 1 | yes | characteristic, complemented |
| 238 | C7×#67 | — | 2 | 2 | no | — |
| 239 | C7×#67 | — | 2 | 2 | no | — |
| 240 | C2×C7×Dic3 | C3×D4 | 1 | 1 | yes | characteristic |
| 241 | C7×D12 | — | 2 | 1 | no | — |
| 242 | C7×D12 | C23×C3 | 1 | 2 | yes | — |
| 243 | C4×D3×C7 | C3×D4 | 1 | 1 | yes | characteristic |
| 244 | C4×D3×C7 | C3×D4 | 1 | 1 | yes | characteristic |
| 245 | C4×D3×C7 | C23×C3 | 1 | 1 | yes | characteristic |
| 246 | C4×D3×C7 | C23×C3 | 1 | 1 | yes | characteristic |
| 247 | C3×C22⋊D7 | — | 2 | 1 | no | — |
| 248 | C3×D28 | C23×C3 | 1 | 1 | yes | characteristic, complemented |
| 249 | C3×C4×D7 | — | 2 | 1 | no | — |
| 250 | C3×Dic14 | C23×C3 | 1 | 1 | yes | characteristic, complemented |
| 251 | D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 252 | D4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 253 | D4×ΓL(1,𝔽8) | — | 3 | 2 | no | — |
| 254 | D4×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 255 | D4×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 256 | D4×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 257 | D4×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 258 | D4×ΓL(1,𝔽8) | C22×D3 | 1 | 2 | yes | — |
| 259 | C2×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 260 | C2×C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 261 | C2×C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 262 | C2×C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 263 | C2×C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 264 | C2×C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 265 | C2×C4×ΓL(1,𝔽8) | C22×D3 | 1 | 1 | yes | characteristic |
| 266 | #4248 | — | 2 | 1 | no | — |
| 267 | #4247 | — | 2 | 1 | no | — |
| 268 | #4246 | — | 2 | 1 | no | — |
| 269 | #4245 | — | 2 | 1 | no | — |
| 270 | D21⋊C4 | — | 2 | 1 | no | — |
| 271 | D3×Dic7 | — | 2 | 1 | no | — |
| 272 | Dic3×D7 | — | 2 | 1 | no | — |
| 273 | (C22⋊D7)⋊C3 | — | 2 | 1 | no | — |
| 274 | (C22⋊D7)⋊C3 | — | 4 | 1 | no | — |
| 275 | (C22⋊D7)⋊C3 | — | 6 | 1 | no | — |
| 276 | (C22⋊D7)⋊C3 | — | 6 | 1 | no | — |
| 277 | (C22⋊D7)⋊C3 | — | 6 | 1 | no | — |
| 278 | C2×ΓL(1,𝔽8)⋊C4 | — | 6 | 1 | no | — |
| 279 | C4⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 280 | C4⋊AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 281 | C4⋊AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 282 | C4⋊AGL(1,𝔽7) | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 283 | C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 284 | C4×AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 285 | C4×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 286 | C4×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 287 | C4×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 288 | ΓL(1,𝔽8)⋊Q8 | — | 2 | 1 | no | — |
| 289 | ΓL(1,𝔽8)⋊Q8 | — | 3 | 1 | no | — |
| 290 | ΓL(1,𝔽8)⋊Q8 | — | 6 | 1 | no | — |
| 291 | ΓL(1,𝔽8)⋊Q8 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 292 | C3⋊(C7⋊C8) | C23×C3 | 1 | 2 | yes | complemented |
| 293 | C3×C7⋊C8 | C23×C3 | 1 | 2 | yes | complemented |
| 294 | ΓL(1,𝔽8)⋊C8 | — | 2 | 2 | no | — |
| 295 | ΓL(1,𝔽8)⋊C8 | — | 3 | 2 | no | — |
| 296 | ΓL(1,𝔽8)⋊C8 | C22×D3 | 1 | 2 | yes | complemented |
| 297 | C23×C3×D3 | — | 14 | 1 | no | — |
| 298 | C32×#41 | — | 7 | 1 | no | — |
| 299 | C2×C32×D4 | — | 14 | 1 | no | — |
| 300 | C2×C3×#67 | — | 14 | 1 | no | — |
| 301 | C3×#239 | — | 7 | 1 | no | — |
| 302 | C3×D3×Q8 | — | 7 | 1 | no | — |
| 303 | C3×#237 | — | 7 | 1 | no | — |
| 304 | C3×#237 | — | 14 | 1 | no | — |
| 305 | C3×D3×D4 | — | 7 | 1 | no | — |
| 306 | C3×D3×D4 | — | 14 | 1 | no | — |
| 307 | C3×D3×D4 | — | 14 | 1 | no | — |
| 308 | C3×D3×D4 | — | 14 | 1 | no | — |
| 309 | C3×D3×D4 | — | 14 | 2 | no | — |
| 310 | C3×D3×D4 | — | 14 | 2 | no | — |
| 311 | C3×#235 | — | 7 | 1 | no | — |
| 312 | C3×#235 | — | 14 | 1 | no | — |
| 313 | C2×C3×D12 | — | 14 | 1 | no | — |
| 314 | C2×C3×C4×D3 | — | 14 | 1 | no | — |
| 315 | C2×C3×C4×D3 | — | 14 | 1 | no | — |
| 316 | C32×SD16 | — | 7 | 2 | no | — |
| 317 | C32×D8 | — | 7 | 2 | no | — |
| 318 | C32×M16 | — | 7 | 1 | no | — |
| 319 | C3×#215 | — | 7 | 2 | no | — |
| 320 | C3×#214 | — | 7 | 2 | no | — |
| 321 | C3×#213 | — | 7 | 2 | no | — |
| 322 | C3×#213 | — | 7 | 2 | no | — |
| 323 | C3×#208 | — | 7 | 1 | no | — |
| 324 | C3×D24 | — | 7 | 2 | no | — |
| 325 | C3×#204 | — | 7 | 2 | no | — |
| 326 | C3×ΓL(1,𝔽25) | — | 7 | 2 | no | — |
| 327 | C3×D3×C8 | — | 7 | 2 | no | — |
| 328 | C2×C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 329 | C2×C3×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 330 | C2×C3×ΓL(1,𝔽8) | C22×D4 | 1 | 1 | yes | characteristic |
| 331 | C3⋊AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 332 | D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 333 | D3×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 334 | D3×ΓL(1,𝔽8) | AGL(1,ℤ/8) | 1 | 2 | yes | complemented |
| 335 | C3×AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 336 | C24×C7 | — | 6 | 1 | no | — |
| 337 | C2×C7×D4 | — | 3 | 2 | no | — |
| 338 | C2×C7×D4 | — | 3 | 2 | no | — |
| 339 | C2×C7×D4 | — | 3 | 1 | no | — |
| 340 | C2×C7×D4 | — | 6 | 1 | no | — |
| 341 | C2×C7×D4 | — | 6 | 1 | no | — |
| 342 | C2×C7×D4 | — | 6 | 1 | no | — |
| 343 | C2×C7×D4 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 344 | C22×C4×C7 | — | 3 | 1 | no | — |
| 345 | C2×C22⋊D7 | — | 6 | 1 | no | — |
| 346 | #1157 | — | 3 | 1 | no | — |
| 347 | #1157 | — | 3 | 1 | no | — |
| 348 | #1157 | — | 3 | 1 | no | — |
| 349 | #1157 | — | 6 | 1 | no | — |
| 350 | #1157 | — | 6 | 1 | no | — |
| 351 | #1157 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 352 | C2×D28 | — | 3 | 1 | no | — |
| 353 | C2×C4×D7 | — | 6 | 1 | no | — |
| 354 | C2×Dic14 | — | 3 | 1 | no | — |
| 355 | #1142 | — | 3 | 2 | no | — |
| 356 | #1142 | — | 3 | 2 | no | — |
| 357 | #1142 | — | 3 | 2 | no | — |
| 358 | #1142 | C2×C3×D3 | 1 | 2 | yes | complemented |
| 359 | #1141 | — | 3 | 2 | no | — |
| 360 | #1141 | — | 3 | 2 | no | — |
| 361 | #1141 | — | 3 | 2 | no | — |
| 362 | #1141 | C2×C3×D3 | 1 | 2 | yes | complemented |
| 363 | #1136 | — | 3 | 1 | no | — |
| 364 | #1136 | — | 3 | 2 | no | — |
| 365 | #1136 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 366 | C2×C7⋊C8 | — | 3 | 2 | no | — |
| 367 | C2×C3×#41 | — | 21 | 1 | no | — |
| 368 | C22×C3×D4 | — | 42 | 1 | no | — |
| 369 | D3×#41 | — | 7 | 1 | no | — |
| 370 | C2×D3×D4 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 371 | C3×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 372 | C3×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 373 | C3×AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 374 | C3×AGL(1,ℤ/8) | — | 21 | 1 | no | — |
| 375 | C3×AGL(1,ℤ/8) | — | 21 | 2 | no | — |
| 376 | C3×AGL(1,ℤ/8) | — | 21 | 2 | no | — |
| 377 | C3×AGL(1,ℤ/8) | — | 21 | 1 | no | — |
| 378 | C3×AGL(1,ℤ/8) | — | 21 | 1 | no | — |
| 379 | C2×C3×SD16 | — | 21 | 2 | no | — |
| 380 | C2×C3×D8 | — | 21 | 2 | no | — |
| 381 | C2×C3×M16 | — | 21 | 1 | no | — |
| 382 | #949 | — | 7 | 1 | no | — |
| 383 | #932 | — | 7 | 1 | no | — |
| 384 | #914 | — | 7 | 2 | no | — |
| 385 | D3×SD16 | — | 7 | 2 | no | — |
| 386 | #911 | — | 7 | 2 | no | — |
| 387 | D3×D8 | — | 7 | 2 | no | — |
| 388 | #908 | — | 7 | 1 | no | — |
| 389 | D3×M16 | — | 7 | 1 | no | — |
| 390 | C22×C3×C7 | — | 2 | 2 | no | — |
| 391 | C22×C3×C7 | — | 4 | 2 | no | — |
| 392 | C22×C3×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 393 | C2×D21 | — | 2 | 1 | no | — |
| 394 | C2×D3×C7 | — | 2 | 2 | no | — |
| 395 | C2×D3×C7 | — | 2 | 2 | no | — |
| 396 | C2×D3×C7 | — | 4 | 4 | no | — |
| 397 | C2×D3×C7 | — | 4 | 2 | no | — |
| 398 | C2×D3×C7 | — | 4 | 4 | no | — |
| 399 | C2×D3×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 400 | C2×D3×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 401 | C2×C3×D7 | — | 2 | 1 | no | — |
| 402 | C22×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 403 | C22×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 404 | C22×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 405 | C22×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 406 | C22×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 407 | C22×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 408 | C22×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 409 | C22×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 410 | C22×ΓL(1,𝔽8) | — | 8 | 2 | no | — |
| 411 | C22×ΓL(1,𝔽8) | — | 12 | 2 | no | — |
| 412 | C22×ΓL(1,𝔽8) | — | 12 | 4 | no | — |
| 413 | C22×ΓL(1,𝔽8) | — | 12 | 4 | no | — |
| 414 | C22×ΓL(1,𝔽8) | D3×D4 | 1 | 1 | yes | characteristic |
| 415 | D3×D7 | — | 4 | 2 | no | — |
| 416 | C2×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 417 | C2×AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 418 | C2×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 419 | C2×AGL(1,𝔽7) | — | 12 | 2 | no | — |
| 420 | C3×C4×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 421 | C3×C4×C7 | C24×C3 | 1 | 1 | yes | characteristic |
| 422 | Dic21 | — | 2 | 1 | no | — |
| 423 | C3×Dic7 | — | 2 | 1 | no | — |
| 424 | C7×Dic3 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 425 | C7×Dic3 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 426 | C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 427 | C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 428 | C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 429 | C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 430 | C4×ΓL(1,𝔽8) | D3×D4 | 1 | 1 | yes | characteristic |
| 431 | C4×ΓL(1,𝔽8) | C23×D3 | 1 | 1 | yes | characteristic |
| 432 | ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 433 | ΓL(1,𝔽8)⋊C4 | — | 4 | 1 | no | — |
| 434 | ΓL(1,𝔽8)⋊C4 | — | 6 | 1 | no | — |
| 435 | C23×C32 | — | 14 | 1 | no | — |
| 436 | C22×C3×D3 | — | 14 | 1 | no | — |
| 437 | C22×C3×D3 | — | 14 | 2 | no | — |
| 438 | C22×C3×D3 | — | 14 | 2 | no | — |
| 439 | C22×C3×D3 | — | 14 | 1 | no | — |
| 440 | C22×C3×D3 | — | 14 | 1 | no | — |
| 441 | C22×C3×D3 | — | 28 | 4 | no | — |
| 442 | C32×Q8 | — | 7 | 1 | no | — |
| 443 | C32×D4 | — | 7 | 1 | no | — |
| 444 | C32×D4 | — | 14 | 1 | no | — |
| 445 | C32×D4 | — | 14 | 1 | no | — |
| 446 | C32×D4 | — | 14 | 2 | no | — |
| 447 | C2×C32×C4 | — | 14 | 1 | no | — |
| 448 | C2×C32×C4 | — | 14 | 1 | no | — |
| 449 | C3×#67 | — | 14 | 2 | no | — |
| 450 | C3×#67 | — | 14 | 2 | no | — |
| 451 | C3×#67 | — | 14 | 1 | no | — |
| 452 | C3×#67 | — | 14 | 1 | no | — |
| 453 | C3×#67 | — | 14 | 1 | no | — |
| 454 | C2×C3×Dic3 | — | 14 | 1 | no | — |
| 455 | C2×C3×Dic3 | — | 14 | 1 | no | — |
| 456 | C3×D12 | — | 7 | 1 | no | — |
| 457 | C3×D12 | — | 14 | 1 | no | — |
| 458 | C3×D12 | — | 14 | 1 | no | — |
| 459 | C3×D12 | — | 14 | 2 | no | — |
| 460 | C3×C4×D3 | — | 14 | 1 | no | — |
| 461 | C3×C4×D3 | — | 14 | 1 | no | — |
| 462 | C3×C4×D3 | — | 14 | 1 | no | — |
| 463 | C3×C4×D3 | — | 14 | 1 | no | — |
| 464 | C3×C4×D3 | — | 14 | 1 | no | — |
| 465 | C3×C4×D3 | — | 14 | 1 | no | — |
| 466 | C3×C4×D3 | — | 14 | 1 | no | — |
| 467 | C3×Dic6 | — | 7 | 1 | no | — |
| 468 | C3×Dic6 | — | 14 | 1 | no | — |
| 469 | C32×C8 | — | 7 | 2 | no | — |
| 470 | C3×C3⋊C8 | — | 7 | 2 | no | — |
| 471 | C2×AGL(1,ℤ/8) | — | 21 | 1 | no | Sylow |
| 472 | C3×ΓL(1,𝔽8) | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic, complemented, Hall |
| 473 | C23×C7 | — | 2 | 1 | no | — |
| 474 | C23×C7 | — | 3 | 1 | no | — |
| 475 | C23×C7 | — | 6 | 2 | no | — |
| 476 | C23×C7 | — | 6 | 2 | no | — |
| 477 | C23×C7 | — | 6 | 1 | no | — |
| 478 | C23×C7 | — | 12 | 4 | no | — |
| 479 | C22×D7 | — | 6 | 1 | no | — |
| 480 | C7×D4 | — | 2 | 1 | no | — |
| 481 | C7×D4 | — | 3 | 2 | no | — |
| 482 | C7×D4 | — | 6 | 2 | no | — |
| 483 | C7×D4 | — | 6 | 2 | no | — |
| 484 | C7×D4 | — | 6 | 1 | no | — |
| 485 | C7×D4 | C22×C3×D3 | 1 | 2 | yes | — |
| 486 | C2×C4×C7 | — | 3 | 1 | no | — |
| 487 | C2×C4×C7 | — | 3 | 1 | no | — |
| 488 | C2×C4×C7 | — | 3 | 1 | no | — |
| 489 | C2×C4×C7 | — | 3 | 1 | no | — |
| 490 | C2×C4×C7 | — | 3 | 1 | no | — |
| 491 | C2×C4×C7 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 492 | C22⋊D7 | — | 2 | 1 | no | — |
| 493 | C22⋊D7 | — | 6 | 1 | no | — |
| 494 | C22⋊D7 | — | 6 | 1 | no | — |
| 495 | C22⋊D7 | — | 6 | 1 | no | — |
| 496 | C2×Dic7 | — | 6 | 1 | no | — |
| 497 | D28 | — | 3 | 1 | no | — |
| 498 | D28 | — | 6 | 1 | no | — |
| 499 | D28 | C22×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 500 | C4×D7 | — | 2 | 1 | no | — |
| 501 | C4×D7 | — | 6 | 1 | no | — |
| 502 | C4×D7 | — | 6 | 1 | no | — |
| 503 | C4×D7 | — | 6 | 1 | no | — |
| 504 | Dic14 | — | 3 | 1 | no | — |
| 505 | Dic14 | — | 6 | 1 | no | — |
| 506 | Dic14 | C22×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 507 | C7⋊C8 | — | 3 | 2 | no | — |
| 508 | C7⋊C8 | C22×C3×D3 | 1 | 2 | yes | complemented |
| 509 | C24×C3 | — | 42 | 1 | no | — |
| 510 | C23×D3 | — | 2 | 1 | no | — |
| 511 | C3×#41 | — | 7 | 1 | no | — |
| 512 | C3×#41 | — | 7 | 1 | no | — |
| 513 | C3×#41 | — | 14 | 1 | no | — |
| 514 | C3×#41 | — | 21 | 1 | no | — |
| 515 | C3×#41 | — | 21 | 1 | no | — |
| 516 | C3×#41 | — | 21 | 1 | no | — |
| 517 | C3×#41 | — | 42 | 1 | no | — |
| 518 | C3×#41 | — | 42 | 1 | no | — |
| 519 | C2×C3×Q8 | — | 21 | 1 | no | — |
| 520 | C2×C3×D4 | — | 14 | 1 | no | — |
| 521 | C2×C3×D4 | — | 21 | 1 | no | — |
| 522 | C2×C3×D4 | — | 28 | 1 | no | — |
| 523 | C2×C3×D4 | — | 42 | 1 | no | — |
| 524 | C2×C3×D4 | — | 42 | 2 | no | — |
| 525 | C2×C3×D4 | — | 42 | 2 | no | — |
| 526 | C2×C3×D4 | — | 42 | 1 | no | — |
| 527 | C2×C3×D4 | — | 42 | 1 | no | — |
| 528 | C2×C3×D4 | — | 42 | 1 | no | — |
| 529 | C2×C3×D4 | — | 42 | 1 | no | — |
| 530 | C2×C3×D4 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 531 | C22×C3×C4 | — | 42 | 1 | no | — |
| 532 | C22×C3×C4 | — | 42 | 1 | no | — |
| 533 | C2×#67 | — | 2 | 1 | no | — |
| 534 | #239 | — | 7 | 1 | no | — |
| 535 | D3×Q8 | — | 7 | 1 | no | — |
| 536 | #237 | — | 7 | 1 | no | — |
| 537 | #237 | — | 14 | 1 | no | — |
| 538 | D3×D4 | — | 2 | 1 | no | — |
| 539 | D3×D4 | — | 2 | 1 | no | — |
| 540 | D3×D4 | — | 7 | 1 | no | — |
| 541 | D3×D4 | — | 14 | 1 | no | — |
| 542 | D3×D4 | C2×AGL(1,𝔽7) | 1 | 2 | yes | — |
| 543 | D3×D4 | C2×AGL(1,𝔽7) | 1 | 2 | yes | complemented |
| 544 | #235 | — | 7 | 1 | no | — |
| 545 | #235 | — | 14 | 1 | no | — |
| 546 | C2×D12 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 547 | C2×C4×D3 | — | 14 | 1 | no | — |
| 548 | C2×C4×D3 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 549 | C3×SD16 | — | 7 | 2 | no | — |
| 550 | C3×SD16 | — | 7 | 2 | no | — |
| 551 | C3×SD16 | — | 14 | 2 | no | — |
| 552 | C3×SD16 | — | 21 | 2 | no | — |
| 553 | C3×SD16 | — | 21 | 2 | no | — |
| 554 | C3×SD16 | — | 21 | 2 | no | — |
| 555 | C3×D8 | — | 7 | 2 | no | — |
| 556 | C3×D8 | — | 7 | 2 | no | — |
| 557 | C3×D8 | — | 14 | 2 | no | — |
| 558 | C3×D8 | — | 21 | 2 | no | — |
| 559 | C3×D8 | — | 21 | 2 | no | — |
| 560 | C3×D8 | — | 21 | 2 | no | — |
| 561 | C3×M16 | — | 7 | 1 | no | — |
| 562 | C3×M16 | — | 7 | 1 | no | — |
| 563 | C3×M16 | — | 14 | 1 | no | — |
| 564 | C3×M16 | — | 21 | 2 | no | — |
| 565 | C3×M16 | — | 21 | 1 | no | — |
| 566 | C2×C3×C8 | — | 21 | 2 | no | — |
| 567 | #215 | — | 7 | 2 | no | — |
| 568 | #214 | — | 7 | 2 | no | — |
| 569 | #213 | — | 7 | 2 | no | — |
| 570 | #213 | — | 7 | 2 | no | — |
| 571 | #208 | — | 7 | 1 | no | — |
| 572 | D24 | — | 7 | 2 | no | — |
| 573 | #204 | — | 7 | 2 | no | — |
| 574 | ΓL(1,𝔽25) | — | 7 | 2 | no | — |
| 575 | D3×C8 | — | 7 | 2 | no | — |
| 576 | C2×C3×C7 | — | 2 | 1 | no | — |
| 577 | C2×C3×C7 | — | 4 | 2 | no | — |
| 578 | C2×C3×C7 | C22×C3×D4 | 1 | 1 | yes | characteristic |
| 579 | D21 | — | 4 | 1 | no | — |
| 580 | C3×D7 | — | 4 | 1 | no | — |
| 581 | D3×C7 | — | 2 | 1 | no | — |
| 582 | D3×C7 | — | 4 | 2 | no | — |
| 583 | D3×C7 | C3×AGL(1,ℤ/8) | 1 | 2 | yes | complemented |
| 584 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 585 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 586 | C2×ΓL(1,𝔽8) | — | 3 | 2 | no | — |
| 587 | C2×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 588 | C2×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 589 | C2×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 590 | C2×ΓL(1,𝔽8) | — | 8 | 2 | no | — |
| 591 | C2×ΓL(1,𝔽8) | — | 12 | 2 | no | — |
| 592 | C2×ΓL(1,𝔽8) | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 593 | AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 594 | AGL(1,𝔽7) | — | 8 | 1 | no | — |
| 595 | AGL(1,𝔽7) | — | 12 | 1 | no | — |
| 596 | C22×C32 | — | 14 | 2 | no | — |
| 597 | C22×C32 | — | 14 | 1 | no | — |
| 598 | C22×C32 | — | 14 | 1 | no | — |
| 599 | C22×C32 | — | 28 | 2 | no | — |
| 600 | C2×C3×D3 | — | 14 | 2 | no | — |
| 601 | C2×C3×D3 | — | 14 | 2 | no | — |
| 602 | C2×C3×D3 | — | 14 | 1 | no | — |
| 603 | C2×C3×D3 | — | 14 | 1 | no | — |
| 604 | C2×C3×D3 | — | 14 | 1 | no | — |
| 605 | C2×C3×D3 | — | 28 | 4 | no | — |
| 606 | C2×C3×D3 | — | 28 | 4 | no | — |
| 607 | C2×C3×D3 | — | 28 | 2 | no | — |
| 608 | C2×C3×D3 | — | 28 | 2 | no | — |
| 609 | C32×C4 | — | 14 | 1 | no | — |
| 610 | C32×C4 | — | 14 | 1 | no | — |
| 611 | C32×C4 | — | 14 | 1 | no | — |
| 612 | C3×Dic3 | — | 14 | 1 | no | — |
| 613 | C3×Dic3 | — | 14 | 1 | no | — |
| 614 | C3×Dic3 | — | 14 | 1 | no | — |
| 615 | C2×#41 | — | 21 | 1 | no | — |
| 616 | C22×D4 | — | 3 | 1 | no | — |
| 617 | AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 618 | AGL(1,ℤ/8) | — | 21 | 1 | no | — |
| 619 | AGL(1,ℤ/8) | — | 21 | 2 | no | — |
| 620 | AGL(1,ℤ/8) | — | 21 | 2 | no | — |
| 621 | AGL(1,ℤ/8) | — | 21 | 1 | no | — |
| 622 | AGL(1,ℤ/8) | — | 21 | 1 | no | — |
| 623 | C2×SD16 | — | 21 | 2 | no | — |
| 624 | C2×D8 | — | 21 | 2 | no | — |
| 625 | C2×M16 | — | 21 | 1 | no | — |
| 626 | C22×C7 | — | 2 | 2 | no | — |
| 627 | C22×C7 | — | 3 | 1 | no | — |
| 628 | C22×C7 | — | 3 | 1 | no | — |
| 629 | C22×C7 | — | 4 | 2 | no | — |
| 630 | C22×C7 | — | 6 | 2 | no | — |
| 631 | C22×C7 | — | 6 | 2 | no | — |
| 632 | C22×C7 | — | 12 | 2 | no | — |
| 633 | C22×C7 | — | 12 | 4 | no | — |
| 634 | C22×C7 | — | 12 | 4 | no | — |
| 635 | C22×C7 | C3×D3×D4 | 1 | 1 | yes | characteristic |
| 636 | C2×D7 | — | 2 | 1 | no | — |
| 637 | C2×D7 | — | 6 | 1 | no | — |
| 638 | C2×D7 | — | 12 | 2 | no | — |
| 639 | C4×C7 | — | 3 | 1 | no | — |
| 640 | C4×C7 | — | 3 | 1 | no | — |
| 641 | C4×C7 | C3×D3×D4 | 1 | 1 | yes | characteristic |
| 642 | C4×C7 | C23×C3×D3 | 1 | 1 | yes | characteristic |
| 643 | Dic7 | — | 2 | 1 | no | — |
| 644 | Dic7 | — | 6 | 1 | no | — |
| 645 | C23×C3 | — | 2 | 1 | no | — |
| 646 | C23×C3 | — | 14 | 1 | no | — |
| 647 | C23×C3 | — | 28 | 1 | no | — |
| 648 | C23×C3 | — | 42 | 1 | no | — |
| 649 | C23×C3 | — | 42 | 2 | no | — |
| 650 | C23×C3 | — | 42 | 2 | no | — |
| 651 | C23×C3 | — | 42 | 1 | no | — |
| 652 | C23×C3 | — | 42 | 1 | no | — |
| 653 | C23×C3 | — | 84 | 4 | no | — |
| 654 | C22×D3 | — | 2 | 1 | no | — |
| 655 | C22×D3 | — | 2 | 2 | no | — |
| 656 | C22×D3 | — | 2 | 2 | no | — |
| 657 | C22×D3 | — | 4 | 4 | no | — |
| 658 | C22×D3 | — | 14 | 1 | no | — |
| 659 | C22×D3 | (C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 660 | C3×Q8 | — | 7 | 1 | no | — |
| 661 | C3×Q8 | — | 7 | 1 | no | — |
| 662 | C3×Q8 | — | 14 | 1 | no | — |
| 663 | C3×Q8 | — | 21 | 1 | no | — |
| 664 | C3×Q8 | — | 42 | 1 | no | — |
| 665 | C3×D4 | — | 2 | 1 | no | — |
| 666 | C3×D4 | — | 7 | 1 | no | — |
| 667 | C3×D4 | — | 7 | 1 | no | — |
| 668 | C3×D4 | — | 14 | 1 | no | — |
| 669 | C3×D4 | — | 14 | 1 | no | — |
| 670 | C3×D4 | — | 14 | 1 | no | — |
| 671 | C3×D4 | — | 14 | 1 | no | — |
| 672 | C3×D4 | — | 14 | 2 | no | — |
| 673 | C3×D4 | — | 21 | 1 | no | — |
| 674 | C3×D4 | — | 28 | 1 | no | — |
| 675 | C3×D4 | — | 28 | 1 | no | — |
| 676 | C3×D4 | — | 28 | 2 | no | — |
| 677 | C3×D4 | — | 42 | 2 | no | — |
| 678 | C3×D4 | — | 42 | 1 | no | — |
| 679 | C3×D4 | — | 42 | 2 | no | — |
| 680 | C3×D4 | — | 42 | 2 | no | — |
| 681 | C3×D4 | — | 42 | 1 | no | — |
| 682 | C3×D4 | — | 42 | 1 | no | — |
| 683 | C3×D4 | — | 42 | 1 | no | — |
| 684 | C3×D4 | — | 42 | 1 | no | — |
| 685 | C3×D4 | C22×AGL(1,𝔽7) | 1 | 2 | yes | — |
| 686 | C2×C3×C4 | — | 14 | 1 | no | — |
| 687 | C2×C3×C4 | — | 14 | 1 | no | — |
| 688 | C2×C3×C4 | — | 14 | 1 | no | — |
| 689 | C2×C3×C4 | — | 28 | 1 | no | — |
| 690 | C2×C3×C4 | — | 28 | 1 | no | — |
| 691 | C2×C3×C4 | — | 42 | 1 | no | — |
| 692 | C2×C3×C4 | — | 42 | 1 | no | — |
| 693 | C2×C3×C4 | — | 42 | 1 | no | — |
| 694 | C2×C3×C4 | — | 42 | 1 | no | — |
| 695 | C2×C3×C4 | — | 42 | 1 | no | — |
| 696 | C2×C3×C4 | — | 42 | 1 | no | — |
| 697 | C2×C3×C4 | — | 42 | 1 | no | — |
| 698 | C2×C3×C4 | — | 42 | 1 | no | — |
| 699 | C2×C3×C4 | — | 42 | 1 | no | — |
| 700 | C2×C3×C4 | C22×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 701 | #67 | — | 2 | 2 | no | — |
| 702 | #67 | — | 2 | 2 | no | — |
| 703 | #67 | — | 14 | 1 | no | — |
| 704 | #67 | — | 14 | 1 | no | — |
| 705 | #67 | — | 14 | 1 | no | — |
| 706 | C2×Dic3 | — | 14 | 1 | no | — |
| 707 | C2×Dic3 | (C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 708 | D12 | — | 2 | 1 | no | — |
| 709 | D12 | — | 7 | 1 | no | — |
| 710 | D12 | — | 14 | 1 | no | — |
| 711 | D12 | C22×AGL(1,𝔽7) | 1 | 2 | yes | — |
| 712 | C4×D3 | — | 14 | 1 | no | — |
| 713 | C4×D3 | — | 14 | 1 | no | — |
| 714 | C4×D3 | — | 14 | 1 | no | — |
| 715 | C4×D3 | (C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 716 | C4×D3 | (C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 717 | C4×D3 | C22×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 718 | C4×D3 | C22×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 719 | Dic6 | — | 7 | 1 | no | — |
| 720 | Dic6 | — | 14 | 1 | no | — |
| 721 | C3×C8 | — | 7 | 2 | no | — |
| 722 | C3×C8 | — | 7 | 2 | no | — |
| 723 | C3×C8 | — | 14 | 2 | no | — |
| 724 | C3×C8 | — | 21 | 2 | no | — |
| 725 | C3⋊C8 | — | 7 | 2 | no | — |
| 726 | C3×C7 | C2×C3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic, complemented |
| 727 | ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 728 | ΓL(1,𝔽8) | D3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic, complemented |
| 729 | C2×C32 | — | 14 | 1 | no | — |
| 730 | C2×C32 | — | 14 | 1 | no | — |
| 731 | C2×C32 | — | 28 | 2 | no | — |
| 732 | C2×C32 | — | 28 | 1 | no | — |
| 733 | C3×D3 | — | 14 | 1 | no | — |
| 734 | C3×D3 | — | 14 | 2 | no | — |
| 735 | C3×D3 | — | 28 | 2 | no | — |
| 736 | C3×D3 | — | 28 | 1 | no | — |
| 737 | C24 | — | 6 | 1 | no | — |
| 738 | #41 | — | 7 | 1 | no | — |
| 739 | #41 | — | 21 | 1 | no | — |
| 740 | #41 | — | 21 | 1 | no | — |
| 741 | #41 | — | 21 | 1 | no | — |
| 742 | #41 | — | 42 | 1 | no | — |
| 743 | #41 | — | 42 | 1 | no | — |
| 744 | C2×Q8 | — | 21 | 1 | no | — |
| 745 | C2×D4 | — | 3 | 2 | no | — |
| 746 | C2×D4 | — | 3 | 2 | no | — |
| 747 | C2×D4 | — | 3 | 1 | no | — |
| 748 | C2×D4 | — | 6 | 1 | no | — |
| 749 | C2×D4 | — | 6 | 1 | no | — |
| 750 | C2×D4 | — | 6 | 1 | no | — |
| 751 | C2×D4 | — | 21 | 1 | no | — |
| 752 | C2×D4 | — | 42 | 1 | no | — |
| 753 | C2×D4 | D3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 754 | C22×C4 | — | 3 | 1 | no | — |
| 755 | C22×C4 | — | 42 | 1 | no | — |
| 756 | SD16 | — | 7 | 2 | no | — |
| 757 | SD16 | — | 21 | 2 | no | — |
| 758 | SD16 | — | 21 | 2 | no | — |
| 759 | SD16 | — | 21 | 2 | no | — |
| 760 | D8 | — | 7 | 2 | no | — |
| 761 | D8 | — | 21 | 2 | no | — |
| 762 | D8 | — | 21 | 2 | no | — |
| 763 | D8 | — | 21 | 2 | no | — |
| 764 | M16 | — | 7 | 1 | no | — |
| 765 | M16 | — | 21 | 2 | no | — |
| 766 | M16 | — | 21 | 1 | no | — |
| 767 | C2×C8 | — | 21 | 2 | no | — |
| 768 | C2×C7 | — | 2 | 1 | no | — |
| 769 | C2×C7 | — | 3 | 2 | no | — |
| 770 | C2×C7 | — | 4 | 2 | no | — |
| 771 | C2×C7 | — | 6 | 1 | no | — |
| 772 | C2×C7 | — | 12 | 2 | no | — |
| 773 | C2×C7 | C2×C3×D3×D4 | 1 | 1 | yes | characteristic |
| 774 | D7 | — | 4 | 1 | no | — |
| 775 | D7 | — | 12 | 1 | no | — |
| 776 | C22×C3 | — | 2 | 2 | no | — |
| 777 | C22×C3 | — | 4 | 2 | no | — |
| 778 | C22×C3 | — | 14 | 2 | no | — |
| 779 | C22×C3 | — | 14 | 1 | no | — |
| 780 | C22×C3 | — | 14 | 1 | no | — |
| 781 | C22×C3 | — | 14 | 1 | no | — |
| 782 | C22×C3 | — | 28 | 2 | no | — |
| 783 | C22×C3 | — | 28 | 2 | no | — |
| 784 | C22×C3 | — | 28 | 1 | no | — |
| 785 | C22×C3 | — | 28 | 1 | no | — |
| 786 | C22×C3 | — | 42 | 1 | no | — |
| 787 | C22×C3 | — | 42 | 1 | no | — |
| 788 | C22×C3 | — | 42 | 2 | no | — |
| 789 | C22×C3 | — | 42 | 2 | no | — |
| 790 | C22×C3 | — | 42 | 1 | no | — |
| 791 | C22×C3 | — | 56 | 2 | no | — |
| 792 | C22×C3 | — | 84 | 2 | no | — |
| 793 | C22×C3 | — | 84 | 4 | no | — |
| 794 | C22×C3 | — | 84 | 4 | no | — |
| 795 | C22×C3 | — | 84 | 2 | no | — |
| 796 | C22×C3 | C2×(C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 797 | C2×D3 | — | 2 | 2 | no | — |
| 798 | C2×D3 | — | 2 | 2 | no | — |
| 799 | C2×D3 | — | 4 | 4 | no | — |
| 800 | C2×D3 | — | 4 | 2 | no | — |
| 801 | C2×D3 | — | 4 | 4 | no | — |
| 802 | C2×D3 | — | 14 | 1 | no | — |
| 803 | C2×D3 | — | 28 | 2 | no | — |
| 804 | C2×D3 | C2×(C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 805 | C2×D3 | C2×(C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 806 | C3×C4 | — | 14 | 1 | no | — |
| 807 | C3×C4 | — | 14 | 1 | no | — |
| 808 | C3×C4 | — | 14 | 1 | no | — |
| 809 | C3×C4 | — | 14 | 1 | no | — |
| 810 | C3×C4 | — | 28 | 1 | no | — |
| 811 | C3×C4 | — | 28 | 1 | no | — |
| 812 | C3×C4 | — | 28 | 1 | no | — |
| 813 | C3×C4 | — | 42 | 1 | no | — |
| 814 | C3×C4 | — | 42 | 1 | no | — |
| 815 | C3×C4 | — | 42 | 1 | no | — |
| 816 | C3×C4 | C2×(C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 817 | C3×C4 | C23×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 818 | Dic3 | — | 14 | 1 | no | — |
| 819 | Dic3 | C2×(C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 820 | Dic3 | C2×(C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 821 | C32 | — | 14 | 1 | no | Sylow |
| 822 | C23 | — | 2 | 1 | no | — |
| 823 | C23 | — | 3 | 1 | no | — |
| 824 | C23 | — | 6 | 2 | no | — |
| 825 | C23 | — | 6 | 2 | no | — |
| 826 | C23 | — | 6 | 1 | no | — |
| 827 | C23 | — | 12 | 4 | no | — |
| 828 | C23 | — | 42 | 1 | no | — |
| 829 | Q8 | — | 7 | 1 | no | — |
| 830 | Q8 | — | 21 | 1 | no | — |
| 831 | Q8 | — | 42 | 1 | no | — |
| 832 | D4 | — | 2 | 1 | no | — |
| 833 | D4 | — | 3 | 2 | no | — |
| 834 | D4 | — | 6 | 2 | no | — |
| 835 | D4 | — | 6 | 2 | no | — |
| 836 | D4 | — | 6 | 1 | no | — |
| 837 | D4 | — | 7 | 1 | no | — |
| 838 | D4 | — | 14 | 1 | no | — |
| 839 | D4 | — | 21 | 1 | no | — |
| 840 | D4 | — | 42 | 1 | no | — |
| 841 | D4 | — | 42 | 1 | no | — |
| 842 | D4 | — | 42 | 1 | no | — |
| 843 | D4 | — | 42 | 1 | no | — |
| 844 | D4 | C2×D3×AGL(1,𝔽7) | 1 | 2 | yes | — |
| 845 | C2×C4 | — | 3 | 1 | no | — |
| 846 | C2×C4 | — | 3 | 1 | no | — |
| 847 | C2×C4 | — | 3 | 1 | no | — |
| 848 | C2×C4 | — | 3 | 1 | no | — |
| 849 | C2×C4 | — | 3 | 1 | no | — |
| 850 | C2×C4 | — | 14 | 1 | no | — |
| 851 | C2×C4 | — | 42 | 1 | no | — |
| 852 | C2×C4 | — | 42 | 1 | no | — |
| 853 | C2×C4 | — | 42 | 1 | no | — |
| 854 | C2×C4 | — | 42 | 1 | no | — |
| 855 | C2×C4 | C2×D3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 856 | C8 | — | 7 | 2 | no | — |
| 857 | C8 | — | 21 | 2 | no | — |
| 858 | C7 | C3×D3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 859 | C2×C3 | — | 2 | 1 | no | — |
| 860 | C2×C3 | — | 4 | 2 | no | — |
| 861 | C2×C3 | — | 14 | 1 | no | — |
| 862 | C2×C3 | — | 14 | 1 | no | — |
| 863 | C2×C3 | — | 28 | 1 | no | — |
| 864 | C2×C3 | — | 28 | 2 | no | — |
| 865 | C2×C3 | — | 28 | 1 | no | — |
| 866 | C2×C3 | — | 28 | 1 | no | — |
| 867 | C2×C3 | — | 28 | 1 | no | — |
| 868 | C2×C3 | — | 42 | 2 | no | — |
| 869 | C2×C3 | — | 42 | 1 | no | — |
| 870 | C2×C3 | — | 56 | 2 | no | — |
| 871 | C2×C3 | — | 56 | 1 | no | — |
| 872 | C2×C3 | — | 84 | 2 | no | — |
| 873 | C2×C3 | — | 84 | 1 | no | — |
| 874 | C2×C3 | C22×(C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 875 | D3 | — | 2 | 1 | no | — |
| 876 | D3 | — | 4 | 2 | no | — |
| 877 | D3 | — | 28 | 1 | no | — |
| 878 | D3 | #6495⋊C3 | 1 | 2 | yes | direct product factor |
| 879 | C22 | — | 2 | 2 | no | — |
| 880 | C22 | — | 3 | 1 | no | — |
| 881 | C22 | — | 3 | 1 | no | — |
| 882 | C22 | — | 4 | 2 | no | — |
| 883 | C22 | — | 6 | 2 | no | — |
| 884 | C22 | — | 6 | 2 | no | — |
| 885 | C22 | — | 12 | 2 | no | — |
| 886 | C22 | — | 12 | 4 | no | — |
| 887 | C22 | — | 12 | 4 | no | — |
| 888 | C22 | — | 14 | 1 | no | — |
| 889 | C22 | — | 42 | 1 | no | — |
| 890 | C22 | — | 84 | 2 | no | — |
| 891 | C22 | D3×(C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 892 | C4 | — | 3 | 1 | no | — |
| 893 | C4 | — | 3 | 1 | no | — |
| 894 | C4 | — | 14 | 1 | no | — |
| 895 | C4 | — | 42 | 1 | no | — |
| 896 | C4 | D3×(C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 897 | C4 | C22×D3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 898 | C3 | — | 14 | 1 | no | — |
| 899 | C3 | — | 28 | 1 | no | — |
| 900 | C3 | C2×#6495⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 901 | C2 | — | 2 | 1 | no | — |
| 902 | C2 | — | 3 | 2 | no | — |
| 903 | C2 | — | 4 | 2 | no | — |
| 904 | C2 | — | 6 | 1 | no | — |
| 905 | C2 | — | 12 | 2 | no | — |
| 906 | C2 | — | 28 | 1 | no | — |
| 907 | C2 | — | 84 | 1 | no | — |
| 908 | C2 | C2×D3×(C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta