| 1 | #72254333 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72254332 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72254331 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#6399⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | D3×M16×ΓL(1,𝔽8) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | D3×#1157⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | C4×D3×ΓL(1,𝔽8)⋊C4 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | D3×#6399 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C2×#6399⋊C3 | — | 3 | 1 | no | maximal |
| 10 | #66728⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×C4×D3×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic |
| 12 | C3×#1157⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 13 | D3×(C22⋊D7)⋊C3 | — | 2 | 1 | no | — |
| 14 | C2×D3×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 15 | #66683⋊C3 | — | 2 | 1 | no | — |
| 16 | D3×C4⋊AGL(1,𝔽7) | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | C4×D3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 18 | #66675⋊C3 | — | 2 | 1 | no | — |
| 19 | #66673⋊C3 | C4 | 1 | 1 | yes | characteristic, complemented |
| 20 | D3×ΓL(1,𝔽8)⋊Q8 | C4 | 1 | 1 | yes | characteristic, complemented |
| 21 | #66669⋊C3 | C4 | 1 | 1 | yes | characteristic, complemented |
| 22 | C3×M16×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C4×C3⋊(ΓL(1,𝔽8)⋊C4) | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | ΓL(1,𝔽8)×#208 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | ΓL(1,𝔽8)×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 26 | D3×C8×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 27 | C3×C4×ΓL(1,𝔽8)⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | Dic3×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 29 | D3×#1157 | C2×C3 | 1 | 1 | yes | characteristic |
| 30 | C2×#1157⋊C3 | — | 3 | 1 | no | — |
| 31 | D3×C7×M16 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×M16×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 33 | C4×D3×Dic7 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×C4×ΓL(1,𝔽8)⋊C4 | — | 3 | 1 | no | — |
| 35 | #10620664 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 36 | C3×#6399 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 37 | #10620516 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 38 | #10620511 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 39 | #6399⋊C3 | — | 2 | 1 | no | — |
| 40 | #6399⋊C3 | — | 3 | 1 | no | — |
| 41 | #6399⋊C3 | — | 3 | 1 | no | — |
| 42 | #6399⋊C3 | — | 3 | 1 | no | — |
| 43 | #6399⋊C3 | D3 | 1 | 1 | yes | characteristic, direct product factor |
| 44 | C3×D3×#104 | — | 7 | 1 | no | maximal, Hall |
| 45 | C22×D3×ΓL(1,𝔽8) | D4 | 1 | 1 | yes | characteristic |
| 46 | C2×D3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 47 | C2×C3×C4×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 48 | #4268⋊C3 | — | 2 | 1 | no | — |
| 49 | C2×C3⋊(ΓL(1,𝔽8)⋊C4) | — | 2 | 1 | no | — |
| 50 | C4⋊(C3⋊AGL(1,𝔽7)) | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 51 | C4×C3⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 52 | Dic42⋊C3 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 53 | C2×Dic3×ΓL(1,𝔽8) | D4 | 1 | 1 | yes | characteristic |
| 54 | C4×D3×ΓL(1,𝔽8) | C2×C4 | 1 | 1 | yes | characteristic |
| 55 | C4×D3×ΓL(1,𝔽8) | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | C4×D3×ΓL(1,𝔽8) | D4 | 1 | 1 | yes | characteristic |
| 57 | C4×D3×ΓL(1,𝔽8) | D4 | 1 | 1 | yes | characteristic |
| 58 | C3×(C22⋊D7)⋊C3 | — | 2 | 1 | no | — |
| 59 | C2×C3×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 60 | C3×C4⋊AGL(1,𝔽7) | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 61 | C3×C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 62 | C3×ΓL(1,𝔽8)⋊Q8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 63 | #4248⋊C3 | — | 2 | 1 | no | — |
| 64 | #4247⋊C3 | — | 2 | 1 | no | — |
| 65 | #4246⋊C3 | — | 2 | 1 | no | — |
| 66 | #4245⋊C3 | — | 2 | 1 | no | — |
| 67 | (C3⋊AGL(1,𝔽7))⋊C4 | — | 2 | 1 | no | — |
| 68 | D3×ΓL(1,𝔽8)⋊C4 | — | 2 | 4 | no | — |
| 69 | D3×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 70 | Dic3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 71 | C3×C8×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 72 | ΓL(1,𝔽8)×C3⋊C8 | — | 2 | 1 | no | — |
| 73 | C2×#6399 | — | 3 | 1 | no | Hall |
| 74 | #66728 | C22×C3 | 1 | 1 | yes | characteristic |
| 75 | C2×C4×D3×C7 | C22×C3 | 1 | 1 | yes | characteristic |
| 76 | C3×#1157 | C22×C3 | 1 | 1 | yes | characteristic |
| 77 | C22×C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 78 | D3×C22⋊D7 | — | 2 | 1 | no | — |
| 79 | C2×D3×Dic7 | — | 2 | 1 | no | — |
| 80 | #66683 | — | 2 | 1 | no | — |
| 81 | D3×D28 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 82 | C4×D3×D7 | — | 2 | 1 | no | — |
| 83 | #66675 | — | 2 | 1 | no | — |
| 84 | #66673 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 85 | D3×Dic14 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 86 | #66669 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 87 | C2×(C22⋊D7)⋊C3 | — | 6 | 1 | no | — |
| 88 | C22×ΓL(1,𝔽8)⋊C4 | — | 6 | 1 | no | — |
| 89 | #1157⋊C3 | — | 2 | 1 | no | — |
| 90 | #1157⋊C3 | — | 3 | 1 | no | — |
| 91 | #1157⋊C3 | — | 3 | 1 | no | — |
| 92 | #1157⋊C3 | — | 3 | 1 | no | — |
| 93 | #1157⋊C3 | — | 6 | 1 | no | — |
| 94 | #1157⋊C3 | — | 6 | 1 | no | — |
| 95 | #1157⋊C3 | C2×D3 | 1 | 1 | yes | characteristic |
| 96 | C2×C4⋊AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 97 | C2×C4×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 98 | C2×ΓL(1,𝔽8)⋊Q8 | — | 3 | 1 | no | — |
| 99 | C3×C7×M16 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 100 | C4×Dic21 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 101 | C7×#208 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 102 | C7×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 103 | D3×C7×C8 | — | 2 | 1 | no | — |
| 104 | C3×C4×Dic7 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 105 | M16×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 106 | M16×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 107 | M16×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 108 | M16×ΓL(1,𝔽8) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 109 | C2×C8×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 110 | Dic3×Dic7 | — | 2 | 1 | no | — |
| 111 | C4×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 112 | C4×ΓL(1,𝔽8)⋊C4 | — | 3 | 1 | no | — |
| 113 | C4×ΓL(1,𝔽8)⋊C4 | — | 6 | 1 | no | — |
| 114 | C4×ΓL(1,𝔽8)⋊C4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 115 | C3×D3×#41 | — | 7 | 1 | no | — |
| 116 | C3×D3×M16 | — | 14 | 1 | no | — |
| 117 | C3×C42×D3 | — | 7 | 1 | no | — |
| 118 | C32×#104 | — | 7 | 1 | no | — |
| 119 | C3×#837 | — | 7 | 1 | no | — |
| 120 | C3×#825 | — | 7 | 1 | no | — |
| 121 | C3×#805 | — | 7 | 1 | no | — |
| 122 | C22×C3×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C2×C3⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 124 | C2×D3×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 125 | C2×D3×ΓL(1,𝔽8) | C22⋊C4 | 1 | 1 | yes | characteristic |
| 126 | C2×D3×ΓL(1,𝔽8) | C22⋊C4 | 1 | 1 | yes | characteristic |
| 127 | C2×C3×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 128 | D3×AGL(1,𝔽7) | — | 4 | 2 | no | — |
| 129 | C3×C4×ΓL(1,𝔽8) | C22×C4 | 1 | 1 | yes | characteristic |
| 130 | C3×C4×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 131 | C3⋊(ΓL(1,𝔽8)⋊C4) | — | 2 | 2 | no | — |
| 132 | C3⋊(ΓL(1,𝔽8)⋊C4) | — | 2 | 1 | no | — |
| 133 | Dic3×ΓL(1,𝔽8) | C22⋊C4 | 1 | 1 | yes | characteristic |
| 134 | Dic3×ΓL(1,𝔽8) | C22⋊C4 | 1 | 1 | yes | characteristic |
| 135 | C3×ΓL(1,𝔽8)⋊C4 | — | 2 | 2 | no | — |
| 136 | C3×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 137 | C2×#1157 | — | 3 | 1 | no | — |
| 138 | C2×C7×M16 | — | 3 | 1 | no | — |
| 139 | C2×C4×Dic7 | — | 3 | 1 | no | — |
| 140 | #6399 | — | 3 | 1 | no | — |
| 141 | #6399 | — | 3 | 1 | no | — |
| 142 | #6399 | — | 3 | 1 | no | — |
| 143 | #6399 | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 144 | C2×C3×#104 | — | 21 | 1 | no | — |
| 145 | D3×#104 | — | 7 | 1 | no | — |
| 146 | C22×D3×C7 | C3×D4 | 1 | 1 | yes | characteristic |
| 147 | C23×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 148 | C2×D3×D7 | — | 2 | 1 | no | — |
| 149 | C22×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 150 | C2×C3×C4×C7 | C23×C3 | 1 | 1 | yes | characteristic |
| 151 | #4268 | — | 2 | 1 | no | — |
| 152 | C2×Dic21 | — | 2 | 1 | no | — |
| 153 | D84 | C2×C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 154 | C4×D21 | — | 2 | 1 | no | — |
| 155 | Dic42 | C2×C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 156 | C2×C7×Dic3 | C3×D4 | 1 | 1 | yes | characteristic |
| 157 | C4×D3×C7 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 158 | C4×D3×C7 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 159 | C4×D3×C7 | C3×D4 | 1 | 1 | yes | characteristic |
| 160 | C4×D3×C7 | C3×D4 | 1 | 1 | yes | characteristic |
| 161 | C3×C22⋊D7 | — | 2 | 1 | no | — |
| 162 | C2×C3×Dic7 | — | 2 | 1 | no | — |
| 163 | C3×D28 | C2×C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 164 | C3×C4×D7 | — | 2 | 1 | no | — |
| 165 | C3×Dic14 | C2×C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 166 | C2×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 167 | C2×C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 168 | C2×C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 169 | C2×C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 170 | C2×C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 171 | C2×C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 172 | C2×C4×ΓL(1,𝔽8) | C22×D3 | 1 | 1 | yes | characteristic |
| 173 | #4248 | — | 2 | 1 | no | — |
| 174 | #4247 | — | 2 | 1 | no | — |
| 175 | #4246 | — | 2 | 1 | no | — |
| 176 | #4245 | — | 2 | 1 | no | — |
| 177 | D21⋊C4 | — | 2 | 1 | no | — |
| 178 | D3×Dic7 | — | 2 | 4 | no | — |
| 179 | D3×Dic7 | — | 2 | 1 | no | — |
| 180 | Dic3×D7 | — | 2 | 1 | no | — |
| 181 | (C22⋊D7)⋊C3 | — | 2 | 1 | no | — |
| 182 | (C22⋊D7)⋊C3 | — | 4 | 1 | no | — |
| 183 | (C22⋊D7)⋊C3 | — | 6 | 1 | no | — |
| 184 | (C22⋊D7)⋊C3 | — | 6 | 1 | no | — |
| 185 | (C22⋊D7)⋊C3 | — | 6 | 1 | no | — |
| 186 | C2×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 187 | C2×ΓL(1,𝔽8)⋊C4 | — | 4 | 1 | no | — |
| 188 | C2×ΓL(1,𝔽8)⋊C4 | — | 6 | 1 | no | — |
| 189 | C2×ΓL(1,𝔽8)⋊C4 | — | 6 | 4 | no | — |
| 190 | C2×ΓL(1,𝔽8)⋊C4 | — | 6 | 1 | no | — |
| 191 | C4⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 192 | C4⋊AGL(1,𝔽7) | — | 3 | 1 | no | — |
| 193 | C4⋊AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 194 | C4⋊AGL(1,𝔽7) | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 195 | C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 196 | C4×AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 197 | C4×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 198 | C4×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 199 | C4×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 200 | ΓL(1,𝔽8)⋊Q8 | — | 2 | 1 | no | — |
| 201 | ΓL(1,𝔽8)⋊Q8 | — | 3 | 1 | no | — |
| 202 | ΓL(1,𝔽8)⋊Q8 | — | 6 | 1 | no | — |
| 203 | ΓL(1,𝔽8)⋊Q8 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 204 | C3×C7×C8 | — | 2 | 1 | no | — |
| 205 | C7×C3⋊C8 | — | 2 | 1 | no | — |
| 206 | C8×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 207 | C8×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 208 | C8×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 209 | C32×#41 | — | 7 | 1 | no | — |
| 210 | C3×#239 | — | 7 | 1 | no | — |
| 211 | C3×D3×Q8 | — | 7 | 1 | no | — |
| 212 | C3×#237 | — | 7 | 1 | no | — |
| 213 | C3×#237 | — | 14 | 1 | no | — |
| 214 | C3×D3×D4 | — | 7 | 1 | no | — |
| 215 | C3×D3×D4 | — | 14 | 1 | no | — |
| 216 | C3×#235 | — | 7 | 1 | no | — |
| 217 | C3×#235 | — | 14 | 1 | no | — |
| 218 | C2×C3×C4×D3 | — | 14 | 1 | no | — |
| 219 | C2×C3×C4×D3 | — | 14 | 1 | no | — |
| 220 | C2×C3×C4×D3 | — | 14 | 1 | no | — |
| 221 | C32×M16 | — | 14 | 1 | no | — |
| 222 | C32×C42 | — | 7 | 1 | no | — |
| 223 | C3×C4×Dic3 | — | 7 | 1 | no | — |
| 224 | C3×C4×Dic3 | — | 14 | 1 | no | — |
| 225 | C3×#208 | — | 14 | 1 | no | — |
| 226 | C3×ΓL(1,𝔽25) | — | 14 | 1 | no | — |
| 227 | C3×D3×C8 | — | 14 | 1 | no | — |
| 228 | C2×C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 229 | C2×C3×ΓL(1,𝔽8) | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 230 | C3⋊AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 231 | D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 232 | D3×ΓL(1,𝔽8) | #104 | 1 | 2 | yes | complemented |
| 233 | C3×AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 234 | C22×C4×C7 | — | 3 | 1 | no | — |
| 235 | C2×C22⋊D7 | — | 6 | 1 | no | — |
| 236 | C22×Dic7 | — | 6 | 1 | no | — |
| 237 | #1157 | — | 3 | 1 | no | — |
| 238 | #1157 | — | 3 | 1 | no | — |
| 239 | #1157 | — | 3 | 1 | no | — |
| 240 | #1157 | — | 6 | 1 | no | — |
| 241 | #1157 | — | 6 | 1 | no | — |
| 242 | #1157 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 243 | C2×D28 | — | 3 | 1 | no | — |
| 244 | C2×C4×D7 | — | 6 | 1 | no | — |
| 245 | C2×Dic14 | — | 3 | 1 | no | — |
| 246 | C7×M16 | — | 3 | 1 | no | — |
| 247 | C7×M16 | — | 6 | 1 | no | — |
| 248 | C7×M16 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 249 | C2×C7×C8 | — | 6 | 1 | no | — |
| 250 | C4×Dic7 | — | 3 | 1 | no | — |
| 251 | C4×Dic7 | — | 6 | 1 | no | — |
| 252 | C4×Dic7 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 253 | C2×C3×#41 | — | 21 | 1 | no | — |
| 254 | D3×#41 | — | 7 | 1 | no | — |
| 255 | C2×C3×M16 | — | 42 | 1 | no | — |
| 256 | C2×C3×C42 | — | 21 | 1 | no | — |
| 257 | D3×M16 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 258 | C42×D3 | — | 7 | 1 | no | — |
| 259 | C3×#104 | — | 7 | 1 | no | — |
| 260 | C3×#104 | — | 7 | 1 | no | — |
| 261 | C3×#104 | — | 14 | 1 | no | — |
| 262 | C3×#104 | — | 21 | 1 | no | — |
| 263 | C3×#104 | — | 21 | 1 | no | — |
| 264 | C3×#104 | — | 21 | 1 | no | — |
| 265 | #837 | — | 7 | 1 | no | — |
| 266 | #825 | — | 7 | 1 | no | — |
| 267 | #805 | — | 7 | 1 | no | — |
| 268 | C22×C3×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 269 | C2×D21 | — | 2 | 1 | no | — |
| 270 | C2×D3×C7 | — | 2 | 2 | no | — |
| 271 | C2×D3×C7 | C3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 272 | C2×D3×C7 | C3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 273 | C2×C3×D7 | — | 2 | 1 | no | — |
| 274 | C22×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 275 | C22×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 276 | C22×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 277 | C22×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 278 | C22×ΓL(1,𝔽8) | D3×D4 | 1 | 1 | yes | characteristic |
| 279 | D3×D7 | — | 4 | 2 | no | — |
| 280 | C2×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 281 | C2×AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 282 | C2×AGL(1,𝔽7) | — | 6 | 1 | no | — |
| 283 | C2×AGL(1,𝔽7) | — | 12 | 2 | no | — |
| 284 | C3×C4×C7 | C22×C3×C4 | 1 | 1 | yes | characteristic |
| 285 | C3×C4×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 286 | Dic21 | — | 2 | 2 | no | — |
| 287 | Dic21 | — | 2 | 1 | no | — |
| 288 | C3×Dic7 | — | 2 | 2 | no | — |
| 289 | C3×Dic7 | — | 2 | 1 | no | — |
| 290 | C7×Dic3 | C3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 291 | C7×Dic3 | C3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 292 | C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 293 | C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 294 | C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 295 | C4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 296 | C4×ΓL(1,𝔽8) | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 297 | C4×ΓL(1,𝔽8) | D3×D4 | 1 | 1 | yes | characteristic |
| 298 | ΓL(1,𝔽8)⋊C4 | — | 2 | 2 | no | — |
| 299 | ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 300 | ΓL(1,𝔽8)⋊C4 | — | 4 | 1 | no | — |
| 301 | ΓL(1,𝔽8)⋊C4 | — | 4 | 2 | no | — |
| 302 | ΓL(1,𝔽8)⋊C4 | — | 6 | 2 | no | — |
| 303 | ΓL(1,𝔽8)⋊C4 | — | 6 | 1 | no | — |
| 304 | C22×C3×D3 | — | 14 | 1 | no | — |
| 305 | C22×C3×D3 | — | 14 | 1 | no | — |
| 306 | C32×Q8 | — | 7 | 1 | no | — |
| 307 | C32×D4 | — | 7 | 1 | no | — |
| 308 | C32×D4 | — | 14 | 1 | no | — |
| 309 | C2×C32×C4 | — | 14 | 1 | no | — |
| 310 | C2×C32×C4 | — | 14 | 1 | no | — |
| 311 | C2×C32×C4 | — | 14 | 1 | no | — |
| 312 | C3×#67 | — | 14 | 1 | no | — |
| 313 | C3×#67 | — | 14 | 1 | no | — |
| 314 | C3×#67 | — | 14 | 1 | no | — |
| 315 | C2×C3×Dic3 | — | 14 | 1 | no | — |
| 316 | C2×C3×Dic3 | — | 14 | 1 | no | — |
| 317 | C2×C3×Dic3 | — | 14 | 1 | no | — |
| 318 | C3×D12 | — | 7 | 1 | no | — |
| 319 | C3×D12 | — | 14 | 1 | no | — |
| 320 | C3×C4×D3 | — | 14 | 1 | no | — |
| 321 | C3×C4×D3 | — | 14 | 1 | no | — |
| 322 | C3×C4×D3 | — | 14 | 1 | no | — |
| 323 | C3×C4×D3 | — | 14 | 4 | no | — |
| 324 | C3×C4×D3 | — | 14 | 1 | no | — |
| 325 | C3×C4×D3 | — | 14 | 1 | no | — |
| 326 | C3×C4×D3 | — | 14 | 1 | no | — |
| 327 | C3×C4×D3 | — | 14 | 1 | no | — |
| 328 | C3×Dic6 | — | 7 | 1 | no | — |
| 329 | C3×Dic6 | — | 14 | 1 | no | — |
| 330 | C32×C8 | — | 14 | 1 | no | — |
| 331 | C3×C3⋊C8 | — | 14 | 1 | no | — |
| 332 | C2×#104 | — | 21 | 1 | no | Sylow |
| 333 | C3×ΓL(1,𝔽8) | C2×#104 | 1 | 1 | yes | characteristic, complemented, Hall |
| 334 | C23×C7 | — | 3 | 1 | no | — |
| 335 | C22×D7 | — | 6 | 1 | no | — |
| 336 | C2×C4×C7 | — | 3 | 1 | no | — |
| 337 | C2×C4×C7 | — | 3 | 1 | no | — |
| 338 | C2×C4×C7 | — | 3 | 1 | no | — |
| 339 | C2×C4×C7 | — | 3 | 1 | no | — |
| 340 | C2×C4×C7 | — | 3 | 1 | no | — |
| 341 | C2×C4×C7 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 342 | C22⋊D7 | — | 2 | 1 | no | — |
| 343 | C22⋊D7 | — | 6 | 1 | no | — |
| 344 | C22⋊D7 | — | 6 | 1 | no | — |
| 345 | C22⋊D7 | — | 6 | 1 | no | — |
| 346 | C2×Dic7 | — | 2 | 1 | no | — |
| 347 | C2×Dic7 | — | 6 | 1 | no | — |
| 348 | C2×Dic7 | — | 6 | 4 | no | — |
| 349 | C2×Dic7 | — | 6 | 1 | no | — |
| 350 | D28 | — | 3 | 1 | no | — |
| 351 | D28 | — | 6 | 1 | no | — |
| 352 | D28 | C3×C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 353 | C4×D7 | — | 2 | 1 | no | — |
| 354 | C4×D7 | — | 6 | 1 | no | — |
| 355 | C4×D7 | — | 6 | 1 | no | — |
| 356 | C4×D7 | — | 6 | 1 | no | — |
| 357 | Dic14 | — | 3 | 1 | no | — |
| 358 | Dic14 | — | 6 | 1 | no | — |
| 359 | Dic14 | C3×C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 360 | C7×C8 | — | 2 | 1 | no | — |
| 361 | C7×C8 | — | 6 | 1 | no | — |
| 362 | C3×#41 | — | 7 | 1 | no | — |
| 363 | C3×#41 | — | 7 | 1 | no | — |
| 364 | C3×#41 | — | 14 | 1 | no | — |
| 365 | C3×#41 | — | 21 | 1 | no | — |
| 366 | C3×#41 | — | 21 | 1 | no | — |
| 367 | C3×#41 | — | 21 | 1 | no | — |
| 368 | C3×#41 | — | 42 | 1 | no | — |
| 369 | C3×#41 | — | 42 | 1 | no | — |
| 370 | C2×C3×Q8 | — | 21 | 1 | no | — |
| 371 | C2×C3×D4 | — | 21 | 1 | no | — |
| 372 | C2×C3×D4 | — | 42 | 1 | no | — |
| 373 | C22×C3×C4 | — | 42 | 1 | no | — |
| 374 | C22×C3×C4 | — | 42 | 1 | no | — |
| 375 | C22×C3×C4 | — | 42 | 1 | no | — |
| 376 | #239 | — | 7 | 1 | no | — |
| 377 | D3×Q8 | — | 7 | 1 | no | — |
| 378 | #237 | — | 7 | 1 | no | — |
| 379 | #237 | — | 14 | 1 | no | — |
| 380 | D3×D4 | — | 7 | 1 | no | — |
| 381 | D3×D4 | — | 14 | 1 | no | — |
| 382 | #235 | — | 7 | 1 | no | — |
| 383 | #235 | — | 14 | 1 | no | — |
| 384 | C2×C4×D3 | — | 14 | 1 | no | — |
| 385 | C2×C4×D3 | — | 14 | 1 | no | — |
| 386 | C2×C4×D3 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 387 | C3×M16 | — | 14 | 1 | no | — |
| 388 | C3×M16 | — | 28 | 1 | no | — |
| 389 | C3×M16 | — | 42 | 1 | no | — |
| 390 | C3×M16 | — | 42 | 1 | no | — |
| 391 | C3×M16 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 392 | C2×C3×C8 | — | 42 | 1 | no | — |
| 393 | C3×C42 | — | 7 | 1 | no | — |
| 394 | C3×C42 | — | 7 | 1 | no | — |
| 395 | C3×C42 | — | 14 | 1 | no | — |
| 396 | C3×C42 | — | 21 | 1 | no | — |
| 397 | C3×C42 | — | 42 | 1 | no | — |
| 398 | C4×Dic3 | — | 7 | 1 | no | — |
| 399 | C4×Dic3 | — | 14 | 1 | no | — |
| 400 | #208 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 401 | ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 402 | D3×C8 | — | 2 | 1 | no | — |
| 403 | C2×C3×C7 | — | 2 | 1 | no | — |
| 404 | C2×C3×C7 | C2×C3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 405 | D21 | — | 4 | 1 | no | — |
| 406 | C3×D7 | — | 4 | 1 | no | — |
| 407 | D3×C7 | — | 2 | 1 | no | — |
| 408 | D3×C7 | C3×#104 | 1 | 2 | yes | complemented |
| 409 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 410 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 411 | C2×ΓL(1,𝔽8) | — | 3 | 2 | no | — |
| 412 | C2×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 413 | C2×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 414 | C2×ΓL(1,𝔽8) | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 415 | AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 416 | AGL(1,𝔽7) | — | 8 | 1 | no | — |
| 417 | AGL(1,𝔽7) | — | 12 | 1 | no | — |
| 418 | C22×C32 | — | 14 | 1 | no | — |
| 419 | C22×C32 | — | 14 | 1 | no | — |
| 420 | C2×C3×D3 | — | 14 | 1 | no | — |
| 421 | C2×C3×D3 | — | 14 | 1 | no | — |
| 422 | C2×C3×D3 | — | 14 | 1 | no | — |
| 423 | C2×C3×D3 | — | 28 | 2 | no | — |
| 424 | C2×C3×D3 | — | 28 | 2 | no | — |
| 425 | C32×C4 | — | 14 | 1 | no | — |
| 426 | C32×C4 | — | 14 | 2 | no | — |
| 427 | C32×C4 | — | 14 | 1 | no | — |
| 428 | C32×C4 | — | 14 | 1 | no | — |
| 429 | C3×Dic3 | — | 14 | 1 | no | — |
| 430 | C3×Dic3 | — | 14 | 2 | no | — |
| 431 | C3×Dic3 | — | 14 | 1 | no | — |
| 432 | C3×Dic3 | — | 14 | 1 | no | — |
| 433 | C2×#41 | — | 21 | 1 | no | — |
| 434 | C2×M16 | — | 3 | 1 | no | — |
| 435 | C2×C42 | — | 21 | 1 | no | — |
| 436 | #104 | — | 7 | 1 | no | — |
| 437 | #104 | — | 21 | 1 | no | — |
| 438 | #104 | — | 21 | 1 | no | — |
| 439 | #104 | — | 21 | 1 | no | — |
| 440 | C22×C7 | — | 3 | 1 | no | — |
| 441 | C22×C7 | — | 3 | 1 | no | — |
| 442 | C22×C7 | — | 6 | 2 | no | — |
| 443 | C22×C7 | C3×D3×D4 | 1 | 1 | yes | characteristic |
| 444 | C2×D7 | — | 2 | 1 | no | — |
| 445 | C2×D7 | — | 6 | 1 | no | — |
| 446 | C2×D7 | — | 12 | 2 | no | — |
| 447 | C4×C7 | — | 3 | 1 | no | — |
| 448 | C4×C7 | — | 3 | 1 | no | — |
| 449 | C4×C7 | C2×C3×C4×D3 | 1 | 1 | yes | characteristic |
| 450 | C4×C7 | C3×D3×D4 | 1 | 1 | yes | characteristic |
| 451 | Dic7 | — | 2 | 2 | no | — |
| 452 | Dic7 | — | 2 | 1 | no | — |
| 453 | Dic7 | — | 6 | 2 | no | — |
| 454 | Dic7 | — | 6 | 1 | no | — |
| 455 | C23×C3 | — | 42 | 1 | no | — |
| 456 | C23×C3 | — | 42 | 1 | no | — |
| 457 | C22×D3 | — | 14 | 1 | no | — |
| 458 | C22×D3 | C4⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 459 | C3×Q8 | — | 7 | 1 | no | — |
| 460 | C3×Q8 | — | 7 | 1 | no | — |
| 461 | C3×Q8 | — | 14 | 1 | no | — |
| 462 | C3×Q8 | — | 21 | 1 | no | — |
| 463 | C3×Q8 | — | 42 | 1 | no | — |
| 464 | C3×D4 | — | 7 | 1 | no | — |
| 465 | C3×D4 | — | 7 | 1 | no | — |
| 466 | C3×D4 | — | 14 | 1 | no | — |
| 467 | C3×D4 | — | 14 | 1 | no | — |
| 468 | C3×D4 | — | 14 | 1 | no | — |
| 469 | C3×D4 | — | 21 | 1 | no | — |
| 470 | C3×D4 | — | 28 | 1 | no | — |
| 471 | C3×D4 | — | 42 | 1 | no | — |
| 472 | C3×D4 | — | 42 | 1 | no | — |
| 473 | C3×D4 | — | 42 | 1 | no | — |
| 474 | C3×D4 | — | 42 | 1 | no | — |
| 475 | C2×C3×C4 | — | 14 | 1 | no | — |
| 476 | C2×C3×C4 | — | 14 | 1 | no | — |
| 477 | C2×C3×C4 | — | 14 | 1 | no | — |
| 478 | C2×C3×C4 | — | 14 | 1 | no | — |
| 479 | C2×C3×C4 | — | 14 | 1 | no | — |
| 480 | C2×C3×C4 | — | 28 | 1 | no | — |
| 481 | C2×C3×C4 | — | 28 | 1 | no | — |
| 482 | C2×C3×C4 | — | 28 | 1 | no | — |
| 483 | C2×C3×C4 | — | 42 | 1 | no | — |
| 484 | C2×C3×C4 | — | 42 | 1 | no | — |
| 485 | C2×C3×C4 | — | 42 | 1 | no | — |
| 486 | C2×C3×C4 | — | 42 | 1 | no | — |
| 487 | C2×C3×C4 | — | 42 | 1 | no | — |
| 488 | C2×C3×C4 | — | 42 | 1 | no | — |
| 489 | C2×C3×C4 | — | 42 | 1 | no | — |
| 490 | C2×C3×C4 | — | 42 | 1 | no | — |
| 491 | C2×C3×C4 | — | 42 | 4 | no | — |
| 492 | C2×C3×C4 | — | 42 | 1 | no | — |
| 493 | C2×C3×C4 | — | 42 | 1 | no | — |
| 494 | C2×C3×C4 | C22×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 495 | #67 | — | 14 | 1 | no | — |
| 496 | #67 | — | 14 | 1 | no | — |
| 497 | #67 | — | 14 | 1 | no | — |
| 498 | C2×Dic3 | — | 14 | 1 | no | — |
| 499 | C2×Dic3 | — | 14 | 1 | no | — |
| 500 | C2×Dic3 | C4⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 501 | D12 | — | 7 | 1 | no | — |
| 502 | D12 | — | 14 | 1 | no | — |
| 503 | C4×D3 | — | 14 | 4 | no | — |
| 504 | C4×D3 | — | 14 | 1 | no | — |
| 505 | C4×D3 | — | 14 | 1 | no | — |
| 506 | C4×D3 | — | 14 | 1 | no | — |
| 507 | C4×D3 | C4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 508 | C4×D3 | C4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 509 | C4×D3 | (C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 510 | C4×D3 | (C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 511 | Dic6 | — | 7 | 1 | no | — |
| 512 | Dic6 | — | 14 | 1 | no | — |
| 513 | C3×C8 | — | 2 | 1 | no | — |
| 514 | C3×C8 | — | 14 | 1 | no | — |
| 515 | C3×C8 | — | 28 | 1 | no | — |
| 516 | C3×C8 | — | 42 | 1 | no | — |
| 517 | C3⋊C8 | — | 2 | 1 | no | — |
| 518 | C3×C7 | C2×C3×#104 | 1 | 1 | yes | characteristic, complemented |
| 519 | ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 520 | ΓL(1,𝔽8) | D3×#104 | 1 | 1 | yes | characteristic, complemented |
| 521 | C2×C32 | — | 14 | 1 | no | — |
| 522 | C2×C32 | — | 28 | 1 | no | — |
| 523 | C2×C32 | — | 28 | 1 | no | — |
| 524 | C3×D3 | — | 14 | 2 | no | — |
| 525 | C3×D3 | — | 28 | 1 | no | — |
| 526 | C3×D3 | — | 28 | 1 | no | — |
| 527 | #41 | — | 7 | 1 | no | — |
| 528 | #41 | — | 21 | 1 | no | — |
| 529 | #41 | — | 21 | 1 | no | — |
| 530 | #41 | — | 21 | 1 | no | — |
| 531 | #41 | — | 42 | 1 | no | — |
| 532 | #41 | — | 42 | 1 | no | — |
| 533 | C2×Q8 | — | 21 | 1 | no | — |
| 534 | C2×D4 | — | 21 | 1 | no | — |
| 535 | C2×D4 | — | 42 | 1 | no | — |
| 536 | C22×C4 | — | 3 | 1 | no | — |
| 537 | C22×C4 | — | 42 | 1 | no | — |
| 538 | C22×C4 | — | 42 | 1 | no | — |
| 539 | M16 | — | 3 | 1 | no | — |
| 540 | M16 | — | 6 | 1 | no | — |
| 541 | M16 | D3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 542 | C2×C8 | — | 6 | 1 | no | — |
| 543 | C42 | — | 7 | 1 | no | — |
| 544 | C42 | — | 21 | 1 | no | — |
| 545 | C42 | — | 42 | 1 | no | — |
| 546 | C2×C7 | — | 2 | 1 | no | — |
| 547 | C2×C7 | — | 3 | 2 | no | — |
| 548 | C2×C7 | — | 6 | 1 | no | — |
| 549 | C2×C7 | C3×D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 550 | D7 | — | 4 | 1 | no | — |
| 551 | D7 | — | 12 | 1 | no | — |
| 552 | C22×C3 | — | 14 | 1 | no | — |
| 553 | C22×C3 | — | 14 | 1 | no | — |
| 554 | C22×C3 | — | 14 | 1 | no | — |
| 555 | C22×C3 | — | 28 | 1 | no | — |
| 556 | C22×C3 | — | 28 | 1 | no | — |
| 557 | C22×C3 | — | 42 | 1 | no | — |
| 558 | C22×C3 | — | 42 | 1 | no | — |
| 559 | C22×C3 | — | 42 | 1 | no | — |
| 560 | C22×C3 | — | 84 | 2 | no | — |
| 561 | C22×C3 | — | 84 | 2 | no | — |
| 562 | C22×C3 | C2×C4⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 563 | C2×D3 | — | 2 | 2 | no | — |
| 564 | C2×D3 | — | 14 | 1 | no | — |
| 565 | C2×D3 | — | 28 | 2 | no | — |
| 566 | C2×D3 | (C2×AGL(1,𝔽7))⋊C4 | 1 | 1 | yes | characteristic |
| 567 | C2×D3 | (C2×AGL(1,𝔽7))⋊C4 | 1 | 1 | yes | characteristic |
| 568 | C3×C4 | — | 14 | 2 | no | — |
| 569 | C3×C4 | — | 14 | 1 | no | — |
| 570 | C3×C4 | — | 14 | 2 | no | — |
| 571 | C3×C4 | — | 14 | 1 | no | — |
| 572 | C3×C4 | — | 14 | 1 | no | — |
| 573 | C3×C4 | — | 14 | 1 | no | — |
| 574 | C3×C4 | — | 28 | 1 | no | — |
| 575 | C3×C4 | — | 28 | 2 | no | — |
| 576 | C3×C4 | — | 28 | 1 | no | — |
| 577 | C3×C4 | — | 28 | 1 | no | — |
| 578 | C3×C4 | — | 42 | 1 | no | — |
| 579 | C3×C4 | — | 42 | 1 | no | — |
| 580 | C3×C4 | — | 42 | 1 | no | — |
| 581 | C3×C4 | — | 42 | 2 | no | — |
| 582 | C3×C4 | C2×C4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 583 | C3×C4 | C2×(C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 584 | Dic3 | — | 14 | 2 | no | — |
| 585 | Dic3 | — | 14 | 1 | no | — |
| 586 | Dic3 | (C2×AGL(1,𝔽7))⋊C4 | 1 | 1 | yes | characteristic |
| 587 | Dic3 | (C2×AGL(1,𝔽7))⋊C4 | 1 | 1 | yes | characteristic |
| 588 | C32 | — | 14 | 1 | no | Sylow |
| 589 | C23 | — | 3 | 1 | no | — |
| 590 | C23 | — | 42 | 1 | no | — |
| 591 | Q8 | — | 7 | 1 | no | — |
| 592 | Q8 | — | 21 | 1 | no | — |
| 593 | Q8 | — | 42 | 1 | no | — |
| 594 | D4 | — | 7 | 1 | no | — |
| 595 | D4 | — | 14 | 1 | no | — |
| 596 | D4 | — | 21 | 1 | no | — |
| 597 | D4 | — | 42 | 1 | no | — |
| 598 | D4 | — | 42 | 1 | no | — |
| 599 | D4 | — | 42 | 1 | no | — |
| 600 | D4 | — | 42 | 1 | no | — |
| 601 | C2×C4 | — | 3 | 1 | no | — |
| 602 | C2×C4 | — | 3 | 1 | no | — |
| 603 | C2×C4 | — | 3 | 1 | no | — |
| 604 | C2×C4 | — | 3 | 1 | no | — |
| 605 | C2×C4 | — | 3 | 1 | no | — |
| 606 | C2×C4 | — | 14 | 1 | no | — |
| 607 | C2×C4 | — | 14 | 1 | no | — |
| 608 | C2×C4 | — | 42 | 1 | no | — |
| 609 | C2×C4 | — | 42 | 1 | no | — |
| 610 | C2×C4 | — | 42 | 1 | no | — |
| 611 | C2×C4 | — | 42 | 4 | no | — |
| 612 | C2×C4 | — | 42 | 1 | no | — |
| 613 | C2×C4 | — | 42 | 1 | no | — |
| 614 | C2×C4 | C2×D3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 615 | C8 | — | 2 | 1 | no | — |
| 616 | C8 | — | 6 | 1 | no | — |
| 617 | C7 | C3×D3×#104 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 618 | C2×C3 | — | 2 | 1 | no | — |
| 619 | C2×C3 | — | 14 | 1 | no | — |
| 620 | C2×C3 | — | 28 | 1 | no | — |
| 621 | C2×C3 | — | 28 | 1 | no | — |
| 622 | C2×C3 | — | 28 | 1 | no | — |
| 623 | C2×C3 | — | 28 | 1 | no | — |
| 624 | C2×C3 | — | 42 | 2 | no | — |
| 625 | C2×C3 | — | 56 | 1 | no | — |
| 626 | C2×C3 | — | 56 | 1 | no | — |
| 627 | C2×C3 | — | 84 | 1 | no | — |
| 628 | C2×C3 | — | 84 | 1 | no | — |
| 629 | C2×C3 | C2×(C2×AGL(1,𝔽7))⋊C4 | 1 | 1 | yes | characteristic |
| 630 | D3 | — | 2 | 1 | no | — |
| 631 | D3 | — | 28 | 1 | no | — |
| 632 | D3 | #6399⋊C3 | 1 | 2 | yes | direct product factor |
| 633 | C22 | — | 3 | 1 | no | — |
| 634 | C22 | — | 3 | 1 | no | — |
| 635 | C22 | — | 6 | 2 | no | — |
| 636 | C22 | — | 14 | 1 | no | — |
| 637 | C22 | — | 42 | 1 | no | — |
| 638 | C22 | — | 84 | 2 | no | — |
| 639 | C22 | D3×C4⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 640 | C4 | — | 3 | 1 | no | — |
| 641 | C4 | — | 3 | 1 | no | — |
| 642 | C4 | — | 14 | 2 | no | — |
| 643 | C4 | — | 14 | 1 | no | — |
| 644 | C4 | — | 42 | 2 | no | — |
| 645 | C4 | — | 42 | 1 | no | — |
| 646 | C4 | C4×D3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 647 | C4 | D3×(C22⋊D7)⋊C3 | 1 | 1 | yes | characteristic |
| 648 | C3 | — | 14 | 1 | no | — |
| 649 | C3 | — | 28 | 1 | no | — |
| 650 | C3 | C2×#6399⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 651 | C2 | — | 2 | 1 | no | — |
| 652 | C2 | — | 3 | 2 | no | — |
| 653 | C2 | — | 6 | 1 | no | — |
| 654 | C2 | — | 28 | 1 | no | — |
| 655 | C2 | — | 84 | 1 | no | — |
| 656 | C2 | D3×(C2×AGL(1,𝔽7))⋊C4 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta