Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1144 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 1144 conjugacy classes of subgroups — too many to draw. Only its 137 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13128976 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13124226 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #13124186 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13116851 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13116848 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13116845 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13116841 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13116837 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13116500 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13116474 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C13×#2199 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11719650 | C22 | 1 | 1 | yes | characteristic |
| 13 | C13×H(3,𝔽4) | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | #11719482 | — | 2 | 1 | no | — |
| 15 | #11719389 | — | 2 | 2 | no | — |
| 16 | #11719389 | — | 2 | 1 | no | — |
| 17 | #11719385 | — | 2 | 2 | no | — |
| 18 | #11719385 | — | 2 | 1 | no | — |
| 19 | #11719377 | — | 2 | 1 | no | — |
| 20 | #11719377 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #11719373 | — | 2 | 1 | no | — |
| 22 | #11719373 | C22 | 1 | 1 | yes | characteristic |
| 23 | #11719300 | — | 2 | 2 | no | — |
| 24 | #11719300 | C22 | 1 | 2 | yes | complemented |
| 25 | #11719291 | — | 2 | 2 | no | — |
| 26 | #11719291 | — | 2 | 2 | no | — |
| 27 | #11719291 | C22 | 1 | 2 | yes | — |
| 28 | C13×B(4,𝔽2) | C22 | 1 | 2 | yes | — |
| 29 | C13×#455 | C22 | 1 | 1 | yes | characteristic |
| 30 | #11718904 | C22 | 1 | 2 | yes | — |
| 31 | #11718902 | C22 | 1 | 1 | yes | characteristic |
| 32 | #11718866 | — | 2 | 1 | no | — |
| 33 | #11718722 | C22 | 1 | 1 | yes | characteristic |
| 34 | #11718693 | — | 2 | 2 | no | — |
| 35 | #11718693 | C22 | 1 | 2 | yes | — |
| 36 | #11718488 | — | 2 | 1 | no | — |
| 37 | D13×#104 | — | 2 | 1 | no | — |
| 38 | #11718408 | C22 | 1 | 1 | yes | characteristic |
| 39 | #11718406 | C22 | 1 | 1 | yes | characteristic |
| 40 | #11718403 | — | 2 | 2 | no | — |
| 41 | #11718403 | C22 | 1 | 2 | yes | — |
| 42 | #11718401 | — | 2 | 2 | no | — |
| 43 | #11718401 | C22 | 1 | 2 | yes | — |
| 44 | C13×#354 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C13×AΣL(1,𝔽16) | C22 | 1 | 2 | yes | complemented |
| 46 | #11718133 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #11718128 | C22 | 1 | 2 | yes | complemented |
| 48 | #11718068 | C22 | 1 | 2 | yes | complemented |
| 49 | #11718066 | C22 | 1 | 2 | yes | complemented |
| 50 | #11718064 | C22 | 1 | 2 | yes | complemented |
| 51 | C13×H(5,𝔽2) | C23 | 1 | 1 | yes | characteristic |
| 52 | C23×Dic13 | D4 | 1 | 2 | yes | complemented |
| 53 | #88257 | — | 2 | 1 | no | — |
| 54 | #88257 | — | 4 | 1 | no | — |
| 55 | #41×D13 | — | 2 | 1 | no | — |
| 56 | #41×D13 | — | 4 | 1 | no | — |
| 57 | C2×#6131 | D4 | 1 | 1 | yes | characteristic, complemented |
| 58 | #88251 | — | 2 | 2 | no | — |
| 59 | #88251 | — | 4 | 1 | no | — |
| 60 | #88251 | C23 | 1 | 1 | yes | characteristic |
| 61 | C2×#6129 | — | 2 | 2 | no | — |
| 62 | C2×#6129 | — | 2 | 1 | no | — |
| 63 | C2×#6129 | — | 4 | 1 | no | — |
| 64 | C2×#6129 | C23 | 1 | 1 | yes | characteristic |
| 65 | C13×#137 | — | 2 | 1 | no | — |
| 66 | C13×#124 | — | 2 | 1 | no | — |
| 67 | C13×#124 | — | 2 | 2 | no | — |
| 68 | C13×#124 | — | 2 | 1 | no | — |
| 69 | C13×#124 | C23 | 1 | 1 | yes | characteristic |
| 70 | C13×#120 | — | 2 | 2 | no | — |
| 71 | C13×#120 | — | 2 | 2 | no | — |
| 72 | C13×#120 | C23 | 1 | 2 | yes | — |
| 73 | #88207 | — | 2 | 2 | no | — |
| 74 | #88207 | — | 2 | 2 | no | — |
| 75 | #88207 | D4 | 1 | 2 | yes | complemented |
| 76 | #88203 | — | 2 | 1 | no | — |
| 77 | #88200 | — | 2 | 1 | no | — |
| 78 | #88200 | — | 2 | 2 | no | — |
| 79 | Q8×Dic13 | — | 2 | 1 | no | — |
| 80 | #88198 | — | 2 | 1 | no | — |
| 81 | #88198 | D4 | 1 | 1 | yes | characteristic, complemented |
| 82 | #88196 | — | 2 | 1 | no | — |
| 83 | #88194 | — | 2 | 1 | no | — |
| 84 | #88194 | C23 | 1 | 1 | yes | characteristic |
| 85 | #88193 | — | 2 | 2 | no | — |
| 86 | #88193 | — | 2 | 2 | no | — |
| 87 | #88193 | — | 2 | 2 | no | — |
| 88 | #88193 | — | 4 | 2 | no | — |
| 89 | #88192 | — | 2 | 1 | no | — |
| 90 | #88192 | — | 2 | 2 | no | — |
| 91 | #88189 | — | 2 | 2 | no | — |
| 92 | #88189 | — | 2 | 2 | no | — |
| 93 | #88189 | C23 | 1 | 2 | yes | — |
| 94 | D4×Dic13 | — | 2 | 1 | no | — |
| 95 | D4×Dic13 | — | 2 | 2 | no | — |
| 96 | D4×Dic13 | — | 4 | 2 | no | — |
| 97 | #88173 | — | 4 | 1 | no | — |
| 98 | #88172 | — | 4 | 1 | no | — |
| 99 | #88170 | — | 4 | 1 | no | — |
| 100 | #88168 | — | 4 | 1 | no | — |
| 101 | #88162 | — | 2 | 1 | no | — |
| 102 | M16×D13 | — | 2 | 1 | no | — |
| 103 | #88140 | — | 2 | 2 | no | — |
| 104 | #88140 | — | 2 | 2 | no | — |
| 105 | #88140 | D4 | 1 | 2 | yes | complemented |
| 106 | #88138 | — | 2 | 2 | no | — |
| 107 | #88138 | — | 2 | 2 | no | — |
| 108 | #88138 | — | 2 | 2 | no | — |
| 109 | #88137 | — | 2 | 2 | no | — |
| 110 | #88137 | — | 2 | 2 | no | — |
| 111 | #88137 | — | 2 | 2 | no | — |
| 112 | #88135 | — | 2 | 2 | no | — |
| 113 | #88135 | — | 2 | 2 | no | — |
| 114 | #88135 | — | 2 | 2 | no | — |
| 115 | #88135 | — | 4 | 2 | no | — |
| 116 | #88133 | — | 2 | 2 | no | — |
| 117 | #88133 | — | 2 | 2 | no | — |
| 118 | #88133 | — | 2 | 2 | no | — |
| 119 | #88132 | — | 2 | 2 | no | — |
| 120 | #88132 | — | 2 | 2 | no | — |
| 121 | #88132 | — | 2 | 2 | no | — |
| 122 | #88132 | — | 4 | 2 | no | — |
| 123 | #88131 | — | 2 | 2 | no | — |
| 124 | #88131 | — | 2 | 2 | no | — |
| 125 | #88131 | D4 | 1 | 2 | yes | complemented |
| 126 | #88129 | — | 2 | 1 | no | — |
| 127 | #88129 | D4 | 1 | 1 | yes | characteristic, complemented |
| 128 | C42×D13 | — | 2 | 1 | no | — |
| 129 | C42×D13 | D4 | 1 | 1 | yes | characteristic, complemented |
| 130 | #88124 | — | 2 | 2 | no | — |
| 131 | #88124 | — | 2 | 1 | no | — |
| 132 | C13×#104 | — | 2 | 1 | no | — |
| 133 | C13×#100 | C23 | 1 | 1 | yes | characteristic |
| 134 | C13×#99 | — | 2 | 2 | no | — |
| 135 | C13×#99 | C23 | 1 | 2 | yes | — |
| 136 | #88077 | — | 2 | 1 | no | — |
| 137 | #88074 | — | 2 | 2 | no | — |
| 138 | #88074 | C23 | 1 | 2 | yes | — |
| 139 | #88073 | C23 | 1 | 1 | yes | characteristic |
| 140 | #88065 | — | 2 | 1 | no | — |
| 141 | #88064 | — | 2 | 1 | no | — |
| 142 | #88046 | — | 2 | 2 | no | — |
| 143 | #88046 | — | 2 | 2 | no | — |
| 144 | #88046 | — | 2 | 2 | no | — |
| 145 | #88045 | — | 2 | 1 | no | — |
| 146 | #33550 | — | 13 | 1 | no | maximal, Sylow |
| 147 | C24×C13 | C2×D4 | 1 | 2 | yes | — |
| 148 | C13×#41 | — | 2 | 1 | no | — |
| 149 | C13×#41 | — | 4 | 1 | no | — |
| 150 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 151 | C2×Q8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 152 | C2×D4×C13 | — | 2 | 2 | no | — |
| 153 | C2×D4×C13 | — | 2 | 1 | no | — |
| 154 | C2×D4×C13 | — | 2 | 1 | no | — |
| 155 | C2×D4×C13 | — | 2 | 2 | no | — |
| 156 | C2×D4×C13 | — | 4 | 1 | no | — |
| 157 | C2×D4×C13 | — | 4 | 2 | no | — |
| 158 | C2×D4×C13 | C24 | 1 | 1 | yes | characteristic |
| 159 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 160 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 161 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 162 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 163 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 164 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 165 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 166 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 167 | C2×C22⋊D13 | C2×D4 | 1 | 2 | yes | — |
| 168 | C22×Dic13 | — | 2 | 2 | no | — |
| 169 | C22×Dic13 | — | 2 | 2 | no | — |
| 170 | C22×Dic13 | — | 2 | 2 | no | — |
| 171 | C22×Dic13 | — | 4 | 2 | no | — |
| 172 | C22×Dic13 | — | 4 | 2 | no | — |
| 173 | C22×Dic13 | C2×D4 | 1 | 2 | yes | — |
| 174 | C22×Dic13 | C2×D4 | 1 | 2 | yes | — |
| 175 | #6131 | — | 2 | 1 | no | — |
| 176 | #6131 | — | 4 | 1 | no | — |
| 177 | #6131 | — | 4 | 1 | no | — |
| 178 | Q8×D13 | — | 2 | 1 | no | — |
| 179 | Q8×D13 | — | 4 | 1 | no | — |
| 180 | #6129 | — | 2 | 1 | no | — |
| 181 | #6129 | — | 4 | 1 | no | — |
| 182 | #6129 | — | 4 | 1 | no | — |
| 183 | #6129 | — | 4 | 1 | no | — |
| 184 | #6129 | — | 4 | 2 | no | — |
| 185 | #6129 | — | 4 | 2 | no | — |
| 186 | #6129 | — | 4 | 2 | no | — |
| 187 | #6129 | — | 4 | 1 | no | — |
| 188 | #6129 | — | 4 | 1 | no | — |
| 189 | #6129 | — | 4 | 2 | no | — |
| 190 | #6129 | — | 8 | 1 | no | — |
| 191 | #6129 | — | 8 | 1 | no | — |
| 192 | D4×D13 | — | 2 | 1 | no | — |
| 193 | D4×D13 | — | 4 | 1 | no | — |
| 194 | D4×D13 | — | 4 | 2 | no | — |
| 195 | D4×D13 | — | 4 | 1 | no | — |
| 196 | #6127 | — | 2 | 1 | no | — |
| 197 | #6127 | — | 4 | 1 | no | — |
| 198 | #6127 | — | 4 | 1 | no | — |
| 199 | #6127 | — | 4 | 2 | no | — |
| 200 | C2×D52 | — | 2 | 1 | no | — |
| 201 | C2×D52 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | C2×C4×D13 | — | 2 | 2 | no | — |
| 203 | C2×C4×D13 | — | 2 | 1 | no | — |
| 204 | C2×C4×D13 | — | 2 | 2 | no | — |
| 205 | C2×C4×D13 | — | 2 | 1 | no | — |
| 206 | C2×C4×D13 | — | 4 | 1 | no | — |
| 207 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | C2×Dic26 | — | 2 | 2 | no | — |
| 209 | C2×Dic26 | — | 2 | 1 | no | — |
| 210 | C2×Dic26 | — | 4 | 1 | no | — |
| 211 | C2×Dic26 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | C13×Q16 | — | 4 | 1 | no | — |
| 213 | C13×SD16 | — | 4 | 1 | no | — |
| 214 | C13×M16 | — | 2 | 1 | no | — |
| 215 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 216 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 217 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 218 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 219 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 220 | C13×C22⋊C4 | — | 4 | 2 | no | — |
| 221 | C13×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 222 | C42×C13 | — | 2 | 1 | no | — |
| 223 | C42×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 224 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 225 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 226 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 227 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 228 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 229 | C22⋊Dic13 | — | 4 | 2 | no | — |
| 230 | C22⋊Dic13 | — | 4 | 2 | no | — |
| 231 | C22⋊Dic13 | C2×D4 | 1 | 2 | yes | — |
| 232 | #6107 | — | 4 | 1 | no | — |
| 233 | #6106 | — | 4 | 1 | no | — |
| 234 | #6106 | — | 4 | 1 | no | — |
| 235 | #6104 | — | 4 | 1 | no | — |
| 236 | #6103 | — | 2 | 2 | no | — |
| 237 | #6103 | — | 2 | 2 | no | — |
| 238 | #6103 | — | 2 | 2 | no | — |
| 239 | #6103 | — | 4 | 2 | no | — |
| 240 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 241 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 242 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 243 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 244 | C4⋊Dic13 | — | 4 | 2 | no | — |
| 245 | #6101 | — | 2 | 2 | no | — |
| 246 | #6101 | — | 2 | 2 | no | — |
| 247 | #6101 | — | 2 | 2 | no | — |
| 248 | #6101 | — | 2 | 2 | no | — |
| 249 | #6101 | — | 2 | 2 | no | — |
| 250 | #6101 | — | 2 | 2 | no | — |
| 251 | #6101 | — | 4 | 2 | no | — |
| 252 | #6101 | — | 4 | 2 | no | — |
| 253 | C4×Dic13 | — | 2 | 1 | no | — |
| 254 | C4×Dic13 | — | 2 | 2 | no | — |
| 255 | C4×Dic13 | — | 2 | 1 | no | — |
| 256 | C4×Dic13 | — | 4 | 2 | no | — |
| 257 | C4×Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | #6099 | — | 2 | 1 | no | — |
| 259 | D104 | — | 4 | 1 | no | — |
| 260 | #6095 | — | 4 | 1 | no | — |
| 261 | #6094 | — | 4 | 1 | no | — |
| 262 | C8×D13 | — | 4 | 1 | no | — |
| 263 | #3529 | — | 13 | 1 | no | — |
| 264 | #3025 | — | 13 | 2 | no | — |
| 265 | #3018 | — | 13 | 1 | no | — |
| 266 | #2201 | — | 13 | 1 | no | — |
| 267 | #2201 | — | 13 | 1 | no | — |
| 268 | #2200 | — | 13 | 2 | no | — |
| 269 | #2200 | — | 13 | 2 | no | — |
| 270 | #2199 | — | 13 | 1 | no | — |
| 271 | #2199 | D13 | 1 | 1 | yes | characteristic, complemented |
| 272 | #2126 | — | 13 | 1 | no | — |
| 273 | #2120 | — | 13 | 2 | no | — |
| 274 | C23×C13 | — | 2 | 2 | no | — |
| 275 | C23×C13 | — | 2 | 2 | no | — |
| 276 | C23×C13 | — | 4 | 2 | no | — |
| 277 | C23×C13 | — | 8 | 2 | no | — |
| 278 | C23×C13 | C22×D4 | 1 | 2 | yes | — |
| 279 | C22×D13 | — | 2 | 1 | no | — |
| 280 | C22×D13 | — | 2 | 2 | no | — |
| 281 | C22×D13 | — | 4 | 1 | no | — |
| 282 | C22×D13 | #120 | 1 | 1 | yes | characteristic |
| 283 | Q8×C13 | — | 2 | 1 | no | — |
| 284 | Q8×C13 | — | 4 | 1 | no | — |
| 285 | Q8×C13 | — | 8 | 1 | no | — |
| 286 | D4×C13 | — | 2 | 1 | no | — |
| 287 | D4×C13 | — | 4 | 1 | no | — |
| 288 | D4×C13 | — | 4 | 2 | no | — |
| 289 | D4×C13 | — | 4 | 1 | no | — |
| 290 | D4×C13 | — | 8 | 1 | no | — |
| 291 | D4×C13 | — | 8 | 2 | no | — |
| 292 | D4×C13 | — | 8 | 1 | no | — |
| 293 | D4×C13 | — | 8 | 4 | no | — |
| 294 | C2×C4×C13 | — | 2 | 2 | no | — |
| 295 | C2×C4×C13 | — | 2 | 1 | no | — |
| 296 | C2×C4×C13 | — | 2 | 2 | no | — |
| 297 | C2×C4×C13 | — | 2 | 1 | no | — |
| 298 | C2×C4×C13 | — | 4 | 1 | no | — |
| 299 | C2×C4×C13 | — | 4 | 2 | no | — |
| 300 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 301 | C22⋊D13 | — | 4 | 2 | no | — |
| 302 | C22⋊D13 | — | 4 | 2 | no | — |
| 303 | C22⋊D13 | — | 4 | 1 | no | — |
| 304 | C22⋊D13 | — | 4 | 2 | no | — |
| 305 | C22⋊D13 | — | 4 | 1 | no | — |
| 306 | C22⋊D13 | — | 4 | 1 | no | — |
| 307 | C22⋊D13 | — | 8 | 2 | no | — |
| 308 | C22⋊D13 | — | 8 | 2 | no | — |
| 309 | C22⋊D13 | — | 8 | 2 | no | — |
| 310 | C22⋊D13 | — | 8 | 2 | no | — |
| 311 | C22⋊D13 | — | 8 | 4 | no | — |
| 312 | C2×Dic13 | — | 2 | 2 | no | — |
| 313 | C2×Dic13 | — | 2 | 2 | no | — |
| 314 | C2×Dic13 | — | 2 | 2 | no | — |
| 315 | C2×Dic13 | — | 2 | 2 | no | — |
| 316 | C2×Dic13 | — | 2 | 1 | no | — |
| 317 | C2×Dic13 | — | 2 | 2 | no | — |
| 318 | C2×Dic13 | — | 4 | 2 | no | — |
| 319 | C2×Dic13 | — | 4 | 1 | no | — |
| 320 | C2×Dic13 | — | 4 | 2 | no | — |
| 321 | C2×Dic13 | — | 4 | 2 | no | — |
| 322 | C2×Dic13 | — | 4 | 2 | no | — |
| 323 | C2×Dic13 | — | 4 | 2 | no | — |
| 324 | C2×Dic13 | — | 8 | 2 | no | — |
| 325 | C2×Dic13 | #120 | 1 | 2 | yes | — |
| 326 | C2×Dic13 | #120 | 1 | 1 | yes | characteristic |
| 327 | D52 | — | 2 | 1 | no | — |
| 328 | D52 | — | 4 | 1 | no | — |
| 329 | D52 | — | 4 | 1 | no | — |
| 330 | D52 | — | 8 | 1 | no | — |
| 331 | C4×D13 | — | 2 | 1 | no | — |
| 332 | C4×D13 | — | 2 | 1 | no | — |
| 333 | C4×D13 | — | 4 | 2 | no | — |
| 334 | C4×D13 | — | 4 | 1 | no | — |
| 335 | C4×D13 | — | 4 | 1 | no | — |
| 336 | C4×D13 | — | 4 | 1 | no | — |
| 337 | C4×D13 | — | 4 | 1 | no | — |
| 338 | C4×D13 | — | 4 | 1 | no | — |
| 339 | C4×D13 | — | 8 | 1 | no | — |
| 340 | C4×D13 | — | 8 | 2 | no | — |
| 341 | Dic26 | — | 2 | 1 | no | — |
| 342 | Dic26 | — | 4 | 1 | no | — |
| 343 | Dic26 | — | 4 | 2 | no | — |
| 344 | Dic26 | — | 4 | 1 | no | — |
| 345 | Dic26 | — | 8 | 1 | no | — |
| 346 | C8×C13 | — | 4 | 1 | no | — |
| 347 | #1055 | — | 4 | 1 | no | — |
| 348 | #585 | — | 13 | 1 | no | — |
| 349 | #575 | — | 26 | 1 | no | — |
| 350 | #563 | — | 13 | 1 | no | — |
| 351 | #563 | — | 26 | 1 | no | — |
| 352 | #562 | — | 26 | 2 | no | — |
| 353 | #562 | — | 26 | 1 | no | — |
| 354 | H(3,𝔽4) | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 355 | #560 | — | 13 | 2 | no | — |
| 356 | #560 | — | 26 | 2 | no | — |
| 357 | #532 | — | 13 | 1 | no | — |
| 358 | #532 | — | 26 | 1 | no | — |
| 359 | #529 | — | 26 | 1 | no | — |
| 360 | #529 | — | 26 | 2 | no | — |
| 361 | #525 | — | 13 | 2 | no | — |
| 362 | #525 | — | 26 | 2 | no | — |
| 363 | #525 | — | 26 | 2 | no | — |
| 364 | #458 | — | 13 | 2 | no | — |
| 365 | #458 | — | 13 | 2 | no | — |
| 366 | #458 | — | 26 | 2 | no | — |
| 367 | B(4,𝔽2) | — | 13 | 2 | no | — |
| 368 | B(4,𝔽2) | — | 26 | 2 | no | — |
| 369 | B(4,𝔽2) | C2×D13 | 1 | 2 | yes | — |
| 370 | #456 | — | 26 | 1 | no | — |
| 371 | #455 | — | 13 | 1 | no | — |
| 372 | #455 | C2×D13 | 1 | 1 | yes | characteristic |
| 373 | #454 | — | 26 | 1 | no | — |
| 374 | #453 | — | 13 | 1 | no | — |
| 375 | #453 | — | 13 | 1 | no | — |
| 376 | C2×#104 | — | 26 | 1 | no | — |
| 377 | #413 | — | 13 | 1 | no | — |
| 378 | #410 | — | 13 | 2 | no | — |
| 379 | #410 | — | 26 | 2 | no | — |
| 380 | #354 | — | 13 | 1 | no | — |
| 381 | #354 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 382 | #353 | — | 13 | 2 | no | — |
| 383 | #352 | — | 13 | 2 | no | — |
| 384 | #352 | — | 13 | 2 | no | — |
| 385 | AΣL(1,𝔽16) | — | 13 | 2 | no | — |
| 386 | AΣL(1,𝔽16) | C2×D13 | 1 | 2 | yes | complemented |
| 387 | C22×C13 | — | 2 | 2 | no | — |
| 388 | C22×C13 | — | 4 | 2 | no | — |
| 389 | C22×C13 | — | 4 | 2 | no | — |
| 390 | C22×C13 | — | 4 | 2 | no | — |
| 391 | C22×C13 | — | 4 | 4 | no | — |
| 392 | C22×C13 | — | 4 | 1 | no | — |
| 393 | C22×C13 | — | 4 | 2 | no | — |
| 394 | C22×C13 | — | 8 | 2 | no | — |
| 395 | C22×C13 | — | 8 | 2 | no | — |
| 396 | C22×C13 | C2×#120 | 1 | 1 | yes | characteristic |
| 397 | C2×D13 | — | 2 | 1 | no | — |
| 398 | C2×D13 | — | 4 | 1 | no | — |
| 399 | C2×D13 | — | 4 | 2 | no | — |
| 400 | C2×D13 | — | 4 | 1 | no | — |
| 401 | C2×D13 | — | 4 | 1 | no | — |
| 402 | C2×D13 | — | 8 | 2 | no | — |
| 403 | C2×D13 | — | 16 | 1 | no | — |
| 404 | C4×C13 | — | 2 | 1 | no | — |
| 405 | C4×C13 | — | 4 | 2 | no | — |
| 406 | C4×C13 | — | 4 | 1 | no | — |
| 407 | C4×C13 | — | 4 | 1 | no | — |
| 408 | C4×C13 | — | 4 | 1 | no | — |
| 409 | C4×C13 | — | 8 | 2 | no | — |
| 410 | Dic13 | — | 2 | 2 | no | — |
| 411 | Dic13 | — | 4 | 2 | no | — |
| 412 | Dic13 | — | 4 | 1 | no | — |
| 413 | Dic13 | — | 4 | 1 | no | — |
| 414 | Dic13 | — | 4 | 2 | no | — |
| 415 | Dic13 | — | 8 | 2 | no | — |
| 416 | Dic13 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 417 | Dic13 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 418 | 2−1+4 | — | 26 | 1 | no | — |
| 419 | 2−1+4 | — | 52 | 1 | no | — |
| 420 | H(5,𝔽2) | — | 13 | 1 | no | — |
| 421 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 422 | H(5,𝔽2) | — | 52 | 1 | no | — |
| 423 | H(5,𝔽2) | C22×D13 | 1 | 1 | yes | characteristic |
| 424 | C2×#41 | — | 13 | 1 | no | — |
| 425 | C2×#41 | — | 13 | 1 | no | — |
| 426 | C2×#41 | — | 26 | 2 | no | — |
| 427 | C2×#41 | — | 26 | 1 | no | — |
| 428 | C2×#41 | — | 26 | 1 | no | — |
| 429 | C2×#41 | — | 52 | 1 | no | — |
| 430 | C2×#41 | — | 52 | 1 | no | — |
| 431 | C23×C4 | — | 13 | 2 | no | — |
| 432 | #137 | — | 2 | 1 | no | — |
| 433 | #137 | — | 26 | 1 | no | — |
| 434 | #137 | — | 52 | 1 | no | — |
| 435 | AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 436 | AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 437 | AGL(1,ℤ/8) | — | 52 | 1 | no | — |
| 438 | #135 | — | 52 | 1 | no | — |
| 439 | #135 | — | 52 | 1 | no | — |
| 440 | C2×M16 | — | 26 | 1 | no | — |
| 441 | C4⋊Q8 | — | 13 | 1 | no | — |
| 442 | C4⋊Q8 | — | 26 | 1 | no | — |
| 443 | #127 | — | 13 | 1 | no | — |
| 444 | #127 | — | 26 | 1 | no | — |
| 445 | #126 | — | 26 | 2 | no | — |
| 446 | #126 | — | 26 | 2 | no | — |
| 447 | #126 | — | 26 | 2 | no | — |
| 448 | #125 | — | 26 | 2 | no | — |
| 449 | #125 | — | 26 | 1 | no | — |
| 450 | #124 | — | 2 | 1 | no | — |
| 451 | #124 | — | 2 | 2 | no | — |
| 452 | #124 | — | 2 | 1 | no | — |
| 453 | #124 | — | 13 | 1 | no | — |
| 454 | #124 | — | 26 | 1 | no | — |
| 455 | #124 | C22×D13 | 1 | 1 | yes | characteristic |
| 456 | #123 | — | 13 | 2 | no | — |
| 457 | #123 | — | 13 | 2 | no | — |
| 458 | #123 | — | 26 | 2 | no | — |
| 459 | #123 | — | 26 | 2 | no | — |
| 460 | #123 | — | 26 | 2 | no | — |
| 461 | #123 | — | 26 | 2 | no | — |
| 462 | #123 | — | 26 | 2 | no | — |
| 463 | #123 | — | 26 | 2 | no | — |
| 464 | #123 | — | 26 | 2 | no | — |
| 465 | C22⋊Q8 | — | 26 | 2 | no | — |
| 466 | C22⋊Q8 | — | 26 | 2 | no | — |
| 467 | C22⋊Q8 | — | 26 | 2 | no | — |
| 468 | C22⋊Q8 | — | 26 | 2 | no | — |
| 469 | C22⋊Q8 | — | 26 | 1 | no | — |
| 470 | C22⋊Q8 | — | 52 | 2 | no | — |
| 471 | #121 | — | 26 | 2 | no | — |
| 472 | #121 | — | 26 | 2 | no | — |
| 473 | #121 | — | 26 | 2 | no | — |
| 474 | #121 | — | 26 | 2 | no | — |
| 475 | #121 | — | 26 | 2 | no | — |
| 476 | #121 | — | 26 | 2 | no | — |
| 477 | #121 | — | 26 | 2 | no | — |
| 478 | #121 | — | 26 | 1 | no | — |
| 479 | #121 | — | 52 | 2 | no | — |
| 480 | #120 | — | 2 | 2 | no | — |
| 481 | #120 | — | 2 | 2 | no | — |
| 482 | #120 | — | 13 | 2 | no | — |
| 483 | #120 | — | 26 | 2 | no | — |
| 484 | #120 | — | 26 | 2 | no | — |
| 485 | #120 | C22×D13 | 1 | 2 | yes | — |
| 486 | C4×Q8 | — | 26 | 1 | no | — |
| 487 | C4×D4 | — | 26 | 2 | no | — |
| 488 | C4×D4 | — | 26 | 2 | no | — |
| 489 | C4×D4 | — | 26 | 2 | no | — |
| 490 | C4×D4 | — | 26 | 2 | no | — |
| 491 | C4×D4 | — | 26 | 1 | no | — |
| 492 | C4×D4 | — | 52 | 2 | no | — |
| 493 | C4×D4 | — | 52 | 2 | no | — |
| 494 | #117 | — | 13 | 2 | no | — |
| 495 | #117 | — | 26 | 2 | no | — |
| 496 | #117 | — | 26 | 2 | no | — |
| 497 | C2×C42 | — | 13 | 1 | no | — |
| 498 | C2×C42 | — | 26 | 1 | no | — |
| 499 | #104 | — | 2 | 1 | no | — |
| 500 | #104 | — | 26 | 1 | no | — |
| 501 | #104 | — | 26 | 1 | no | — |
| 502 | #104 | — | 26 | 1 | no | — |
| 503 | #101 | — | 26 | 1 | no | — |
| 504 | #100 | — | 13 | 1 | no | — |
| 505 | #100 | C22×D13 | 1 | 1 | yes | characteristic |
| 506 | #99 | — | 2 | 2 | no | — |
| 507 | #99 | — | 13 | 2 | no | — |
| 508 | #99 | — | 26 | 2 | no | — |
| 509 | #99 | — | 26 | 2 | no | — |
| 510 | #99 | — | 26 | 2 | no | — |
| 511 | #99 | — | 26 | 2 | no | — |
| 512 | #99 | C22×D13 | 1 | 2 | yes | — |
| 513 | C2×C13 | — | 2 | 1 | no | — |
| 514 | C2×C13 | — | 4 | 2 | no | — |
| 515 | C2×C13 | — | 8 | 1 | no | — |
| 516 | C2×C13 | — | 8 | 2 | no | — |
| 517 | C2×C13 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 518 | D13 | — | 4 | 1 | no | — |
| 519 | D13 | — | 8 | 1 | no | — |
| 520 | D13 | — | 8 | 1 | no | — |
| 521 | C24 | D4×D13 | 1 | 2 | yes | — |
| 522 | #41 | — | 2 | 1 | no | — |
| 523 | #41 | — | 4 | 1 | no | — |
| 524 | #41 | — | 26 | 1 | no | — |
| 525 | #41 | — | 26 | 1 | no | — |
| 526 | #41 | — | 26 | 1 | no | — |
| 527 | #41 | — | 52 | 2 | no | — |
| 528 | #41 | — | 52 | 1 | no | — |
| 529 | #41 | — | 52 | 1 | no | — |
| 530 | #41 | — | 52 | 1 | no | — |
| 531 | #41 | — | 52 | 2 | no | — |
| 532 | #41 | — | 52 | 1 | no | — |
| 533 | #41 | — | 52 | 1 | no | — |
| 534 | #41 | — | 52 | 1 | no | — |
| 535 | #41 | — | 52 | 2 | no | — |
| 536 | #41 | — | 52 | 2 | no | — |
| 537 | #41 | — | 52 | 2 | no | — |
| 538 | #41 | — | 52 | 1 | no | — |
| 539 | #41 | — | 52 | 1 | no | — |
| 540 | #41 | — | 52 | 1 | no | — |
| 541 | #41 | — | 104 | 1 | no | — |
| 542 | #41 | — | 104 | 1 | no | — |
| 543 | C2×Q8 | — | 2 | 1 | no | — |
| 544 | C2×Q8 | — | 13 | 1 | no | — |
| 545 | C2×Q8 | — | 26 | 2 | no | — |
| 546 | C2×Q8 | — | 26 | 1 | no | — |
| 547 | C2×Q8 | — | 26 | 1 | no | — |
| 548 | C2×Q8 | — | 52 | 1 | no | — |
| 549 | C2×Q8 | — | 52 | 1 | no | — |
| 550 | C2×Q8 | D4×D13 | 1 | 1 | yes | characteristic |
| 551 | C2×D4 | — | 2 | 2 | no | — |
| 552 | C2×D4 | — | 2 | 1 | no | — |
| 553 | C2×D4 | — | 2 | 1 | no | — |
| 554 | C2×D4 | — | 2 | 2 | no | — |
| 555 | C2×D4 | — | 4 | 1 | no | — |
| 556 | C2×D4 | — | 4 | 2 | no | — |
| 557 | C2×D4 | — | 13 | 2 | no | — |
| 558 | C2×D4 | — | 13 | 1 | no | — |
| 559 | C2×D4 | — | 26 | 1 | no | — |
| 560 | C2×D4 | — | 26 | 1 | no | — |
| 561 | C2×D4 | — | 26 | 2 | no | — |
| 562 | C2×D4 | — | 26 | 2 | no | — |
| 563 | C2×D4 | — | 26 | 2 | no | — |
| 564 | C2×D4 | — | 26 | 2 | no | — |
| 565 | C2×D4 | — | 26 | 2 | no | — |
| 566 | C2×D4 | — | 26 | 2 | no | — |
| 567 | C2×D4 | — | 52 | 1 | no | — |
| 568 | C2×D4 | — | 52 | 1 | no | — |
| 569 | C2×D4 | — | 52 | 2 | no | — |
| 570 | C2×D4 | — | 52 | 2 | no | — |
| 571 | C2×D4 | — | 52 | 2 | no | — |
| 572 | C2×D4 | C23×D13 | 1 | 1 | yes | characteristic |
| 573 | C22×C4 | — | 13 | 2 | no | — |
| 574 | C22×C4 | — | 13 | 1 | no | — |
| 575 | C22×C4 | — | 13 | 2 | no | — |
| 576 | C22×C4 | — | 26 | 1 | no | — |
| 577 | C22×C4 | — | 26 | 2 | no | — |
| 578 | C22×C4 | — | 26 | 1 | no | — |
| 579 | C22×C4 | — | 26 | 2 | no | — |
| 580 | C22×C4 | — | 26 | 2 | no | — |
| 581 | C22×C4 | — | 26 | 2 | no | — |
| 582 | C22×C4 | — | 26 | 2 | no | — |
| 583 | C22×C4 | — | 52 | 1 | no | — |
| 584 | C22×C4 | — | 52 | 2 | no | — |
| 585 | C22×C4 | — | 52 | 2 | no | — |
| 586 | Q16 | — | 4 | 1 | no | — |
| 587 | Q16 | — | 52 | 1 | no | — |
| 588 | SD16 | — | 4 | 1 | no | — |
| 589 | SD16 | — | 52 | 1 | no | — |
| 590 | SD16 | — | 52 | 1 | no | — |
| 591 | SD16 | — | 52 | 1 | no | — |
| 592 | D8 | — | 52 | 1 | no | — |
| 593 | D8 | — | 52 | 1 | no | — |
| 594 | M16 | — | 2 | 1 | no | — |
| 595 | M16 | — | 26 | 1 | no | — |
| 596 | M16 | — | 52 | 1 | no | — |
| 597 | C2×C8 | — | 52 | 1 | no | — |
| 598 | C4⋊C4 | — | 26 | 2 | no | — |
| 599 | C4⋊C4 | — | 26 | 2 | no | — |
| 600 | C4⋊C4 | — | 26 | 2 | no | — |
| 601 | C4⋊C4 | — | 26 | 2 | no | — |
| 602 | C4⋊C4 | — | 26 | 2 | no | — |
| 603 | C4⋊C4 | — | 26 | 2 | no | — |
| 604 | C4⋊C4 | — | 26 | 1 | no | — |
| 605 | C4⋊C4 | — | 26 | 2 | no | — |
| 606 | C4⋊C4 | — | 26 | 1 | no | — |
| 607 | C4⋊C4 | — | 26 | 2 | no | — |
| 608 | C4⋊C4 | — | 52 | 2 | no | — |
| 609 | C4⋊C4 | — | 52 | 2 | no | — |
| 610 | C4⋊C4 | — | 52 | 2 | no | — |
| 611 | C22⋊C4 | — | 2 | 2 | no | — |
| 612 | C22⋊C4 | — | 2 | 2 | no | — |
| 613 | C22⋊C4 | — | 2 | 2 | no | — |
| 614 | C22⋊C4 | — | 2 | 2 | no | — |
| 615 | C22⋊C4 | — | 2 | 2 | no | — |
| 616 | C22⋊C4 | — | 4 | 2 | no | — |
| 617 | C22⋊C4 | — | 13 | 2 | no | — |
| 618 | C22⋊C4 | — | 26 | 2 | no | — |
| 619 | C22⋊C4 | — | 26 | 2 | no | — |
| 620 | C22⋊C4 | — | 26 | 2 | no | — |
| 621 | C22⋊C4 | — | 26 | 2 | no | — |
| 622 | C22⋊C4 | — | 26 | 2 | no | — |
| 623 | C22⋊C4 | — | 26 | 2 | no | — |
| 624 | C22⋊C4 | — | 26 | 2 | no | — |
| 625 | C22⋊C4 | — | 26 | 2 | no | — |
| 626 | C22⋊C4 | — | 52 | 2 | no | — |
| 627 | C22⋊C4 | — | 52 | 2 | no | — |
| 628 | C22⋊C4 | — | 52 | 2 | no | — |
| 629 | C22⋊C4 | D4×D13 | 1 | 2 | yes | — |
| 630 | C42 | — | 2 | 1 | no | — |
| 631 | C42 | — | 13 | 1 | no | — |
| 632 | C42 | — | 26 | 1 | no | — |
| 633 | C42 | — | 26 | 2 | no | — |
| 634 | C42 | — | 26 | 1 | no | — |
| 635 | C42 | — | 52 | 2 | no | — |
| 636 | C42 | D4×D13 | 1 | 1 | yes | characteristic |
| 637 | C13 | #33550 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 638 | C23 | — | 2 | 2 | no | — |
| 639 | C23 | — | 2 | 2 | no | — |
| 640 | C23 | — | 4 | 2 | no | — |
| 641 | C23 | — | 8 | 2 | no | — |
| 642 | C23 | — | 13 | 1 | no | — |
| 643 | C23 | — | 26 | 2 | no | — |
| 644 | C23 | — | 26 | 1 | no | — |
| 645 | C23 | — | 52 | 1 | no | — |
| 646 | C23 | C2×D4×D13 | 1 | 2 | yes | — |
| 647 | Q8 | — | 2 | 1 | no | — |
| 648 | Q8 | — | 4 | 1 | no | — |
| 649 | Q8 | — | 8 | 1 | no | — |
| 650 | Q8 | — | 26 | 1 | no | — |
| 651 | Q8 | — | 52 | 1 | no | — |
| 652 | Q8 | — | 52 | 1 | no | — |
| 653 | Q8 | — | 52 | 2 | no | — |
| 654 | Q8 | — | 104 | 1 | no | — |
| 655 | D4 | — | 2 | 1 | no | — |
| 656 | D4 | — | 4 | 1 | no | — |
| 657 | D4 | — | 4 | 2 | no | — |
| 658 | D4 | — | 4 | 1 | no | — |
| 659 | D4 | — | 8 | 2 | no | — |
| 660 | D4 | — | 8 | 1 | no | — |
| 661 | D4 | — | 8 | 1 | no | — |
| 662 | D4 | — | 8 | 4 | no | — |
| 663 | D4 | — | 26 | 1 | no | — |
| 664 | D4 | — | 52 | 1 | no | — |
| 665 | D4 | — | 52 | 1 | no | — |
| 666 | D4 | — | 52 | 1 | no | — |
| 667 | D4 | — | 52 | 2 | no | — |
| 668 | D4 | — | 52 | 2 | no | — |
| 669 | D4 | — | 52 | 2 | no | — |
| 670 | D4 | — | 52 | 1 | no | — |
| 671 | D4 | — | 52 | 1 | no | — |
| 672 | D4 | — | 104 | 1 | no | — |
| 673 | D4 | — | 104 | 2 | no | — |
| 674 | D4 | — | 104 | 2 | no | — |
| 675 | D4 | — | 104 | 2 | no | — |
| 676 | D4 | — | 104 | 2 | no | — |
| 677 | D4 | — | 104 | 4 | no | — |
| 678 | C2×C4 | — | 2 | 2 | no | — |
| 679 | C2×C4 | — | 2 | 1 | no | — |
| 680 | C2×C4 | — | 2 | 2 | no | — |
| 681 | C2×C4 | — | 2 | 1 | no | — |
| 682 | C2×C4 | — | 4 | 1 | no | — |
| 683 | C2×C4 | — | 4 | 2 | no | — |
| 684 | C2×C4 | — | 13 | 1 | no | — |
| 685 | C2×C4 | — | 13 | 2 | no | — |
| 686 | C2×C4 | — | 26 | 1 | no | — |
| 687 | C2×C4 | — | 26 | 1 | no | — |
| 688 | C2×C4 | — | 26 | 2 | no | — |
| 689 | C2×C4 | — | 26 | 2 | no | — |
| 690 | C2×C4 | — | 26 | 2 | no | — |
| 691 | C2×C4 | — | 26 | 1 | no | — |
| 692 | C2×C4 | — | 26 | 2 | no | — |
| 693 | C2×C4 | — | 26 | 2 | no | — |
| 694 | C2×C4 | — | 52 | 1 | no | — |
| 695 | C2×C4 | — | 52 | 1 | no | — |
| 696 | C2×C4 | — | 52 | 1 | no | — |
| 697 | C2×C4 | — | 52 | 1 | no | — |
| 698 | C2×C4 | — | 52 | 2 | no | — |
| 699 | C2×C4 | — | 52 | 1 | no | — |
| 700 | C2×C4 | — | 52 | 1 | no | — |
| 701 | C2×C4 | — | 52 | 2 | no | — |
| 702 | C2×C4 | — | 52 | 2 | no | — |
| 703 | C2×C4 | — | 52 | 2 | no | — |
| 704 | C2×C4 | — | 52 | 2 | no | — |
| 705 | C2×C4 | — | 52 | 2 | no | — |
| 706 | C2×C4 | — | 104 | 1 | no | — |
| 707 | C2×C4 | — | 104 | 2 | no | — |
| 708 | C2×C4 | — | 104 | 2 | no | — |
| 709 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 710 | C8 | — | 4 | 1 | no | — |
| 711 | C8 | — | 52 | 1 | no | — |
| 712 | C22 | — | 2 | 2 | no | — |
| 713 | C22 | — | 4 | 2 | no | — |
| 714 | C22 | — | 4 | 2 | no | — |
| 715 | C22 | — | 4 | 2 | no | — |
| 716 | C22 | — | 4 | 4 | no | — |
| 717 | C22 | — | 4 | 1 | no | — |
| 718 | C22 | — | 4 | 2 | no | — |
| 719 | C22 | — | 8 | 2 | no | — |
| 720 | C22 | — | 8 | 2 | no | — |
| 721 | C22 | — | 26 | 1 | no | — |
| 722 | C22 | — | 52 | 1 | no | — |
| 723 | C22 | — | 52 | 2 | no | — |
| 724 | C22 | — | 52 | 1 | no | — |
| 725 | C22 | — | 52 | 1 | no | — |
| 726 | C22 | — | 104 | 2 | no | — |
| 727 | C22 | — | 208 | 1 | no | — |
| 728 | C22 | D13×#120 | 1 | 1 | yes | characteristic |
| 729 | C4 | — | 2 | 1 | no | — |
| 730 | C4 | — | 4 | 2 | no | — |
| 731 | C4 | — | 4 | 1 | no | — |
| 732 | C4 | — | 4 | 1 | no | — |
| 733 | C4 | — | 4 | 1 | no | — |
| 734 | C4 | — | 8 | 2 | no | — |
| 735 | C4 | — | 13 | 1 | no | — |
| 736 | C4 | — | 13 | 1 | no | — |
| 737 | C4 | — | 26 | 2 | no | — |
| 738 | C4 | — | 52 | 1 | no | — |
| 739 | C4 | — | 52 | 2 | no | — |
| 740 | C4 | — | 52 | 1 | no | — |
| 741 | C4 | — | 52 | 2 | no | — |
| 742 | C4 | — | 104 | 2 | no | — |
| 743 | C2 | — | 2 | 1 | no | — |
| 744 | C2 | — | 4 | 2 | no | — |
| 745 | C2 | — | 8 | 2 | no | — |
| 746 | C2 | — | 8 | 1 | no | — |
| 747 | C2 | — | 52 | 1 | no | — |
| 748 | C2 | — | 104 | 1 | no | — |
| 749 | C2 | — | 104 | 1 | no | — |
| 750 | C2 | D13×B(4,𝔽2) | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13128976 | C2 | semidirect |
| 2. #13124226 | C2 | semidirect |
| 3. #13124186 | C2 | semidirect |
| 4. #13116851 | C2 | semidirect |
| 5. #13116848 | C2 | semidirect |
| 6. #13116845 | C2 | semidirect |
| 7. #13116841 | C2 | semidirect |
| 8. #13116837 | C2 | semidirect |
| 9. #13116500 | C2 | semidirect |
| 10. #13116474 | C2 | semidirect |
| 11. C13×#2199 | C2 | semidirect |
| 13. C13×H(3,𝔽4) | C22 | semidirect |
| 20. #11719377 | C22 | semidirect |
| 24. #11719300 | C22 | semidirect |
| 44. C13×#354 | C22 | semidirect |
| 45. C13×AΣL(1,𝔽16) | C22 | semidirect |
| 46. #11718133 | C22 | semidirect |
| 47. #11718128 | C22 | semidirect |
| 48. #11718068 | C22 | semidirect |
| 49. #11718066 | C22 | semidirect |
| 50. #11718064 | C22 | semidirect |
| 52. C23×Dic13 | D4 | semidirect |
| 57. C2×#6131 | D4 | semidirect |
| 75. #88207 | D4 | semidirect |
| 81. #88198 | D4 | semidirect |
| 105. #88140 | D4 | semidirect |
| 125. #88131 | D4 | semidirect |
| 127. #88129 | D4 | semidirect |
| 129. C42×D13 | D4 | semidirect |
| 271. #2199 | D13 | semidirect |
| 354. H(3,𝔽4) | C2×D13 | semidirect |
| 381. #354 | C2×D13 | semidirect |
| 386. AΣL(1,𝔽16) | C2×D13 | semidirect |
| 637. C13 | #33550 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128976 | 2 |
| #13124226 | 2 |
| #13124186 | 2 |
| #13116851 | 2 |
| #13116848 | 2 |
| #13116845 | 2 |
| #13116841 | 2 |
| #13116837 | 2 |
| #13116500 | 2 |
| #13116474 | 2 |
| C13×#2199 | 2 |
| #33550 | 13 |