Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
1102 conjugacy classes of subgroups.
The subgroup lattice has 728 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #87199 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #82035 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #80866 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#2190 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #72113 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #71516 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #71089 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #69253 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | D3×#360 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #69121 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #69119 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #33533 | — | 3 | 1 | no | maximal, Sylow |
| 13 | #5964 | — | 2 | 1 | no | — |
| 14 | C3×#575 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×#950 | — | 2 | 1 | no | — |
| 16 | #5779 | — | 2 | 2 | no | — |
| 17 | #5778 | — | 2 | 2 | no | — |
| 18 | #5775 | — | 2 | 2 | no | — |
| 19 | #5774 | — | 2 | 2 | no | — |
| 20 | #5768 | — | 2 | 1 | no | — |
| 21 | #5768 | C22 | 1 | 2 | yes | — |
| 22 | D3×#135 | — | 2 | 1 | no | — |
| 23 | D3×#135 | C22 | 1 | 2 | yes | — |
| 24 | C2×#912 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #5748 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#907 | C22 | 1 | 1 | yes | characteristic |
| 27 | #5608 | — | 2 | 1 | no | — |
| 28 | C3×#509 | C22 | 1 | 2 | yes | complemented |
| 29 | C3×#469 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #5195 | C22 | 1 | 2 | yes | complemented |
| 31 | #5159 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #5147 | C22 | 1 | 2 | yes | complemented |
| 33 | #5137 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #5041 | — | 2 | 1 | no | — |
| 35 | #4916 | — | 2 | 2 | no | — |
| 36 | #4915 | — | 2 | 2 | no | — |
| 37 | #4912 | — | 2 | 2 | no | — |
| 38 | #4911 | — | 2 | 2 | no | — |
| 39 | #4909 | C22 | 1 | 2 | yes | complemented |
| 40 | D3×M32 | C22 | 1 | 2 | yes | complemented |
| 41 | #4867 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | D3×#106 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #4778 | — | 2 | 1 | no | — |
| 44 | #4771 | — | 2 | 1 | no | — |
| 45 | C3×#360 | C22 | 1 | 2 | yes | complemented |
| 46 | C3×#349 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #4566 | C22 | 1 | 2 | yes | complemented |
| 48 | #4553 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #4518 | C22 | 1 | 2 | yes | complemented |
| 50 | #4514 | C22 | 1 | 2 | yes | complemented |
| 51 | #4488 | C22 | 1 | 2 | yes | complemented |
| 52 | #3584 | — | 3 | 1 | no | — |
| 53 | #3414 | — | 3 | 2 | no | — |
| 54 | #3060 | — | 3 | 1 | no | — |
| 55 | #2191 | — | 3 | 2 | no | — |
| 56 | #2191 | — | 3 | 1 | no | — |
| 57 | #2191 | — | 3 | 1 | no | — |
| 58 | #2190 | — | 3 | 2 | no | — |
| 59 | #2190 | — | 3 | 1 | no | — |
| 60 | #2190 | D3 | 1 | 1 | yes | characteristic, complemented |
| 61 | C2×#360 | — | 3 | 2 | no | — |
| 62 | #2115 | — | 3 | 1 | no | — |
| 63 | C2×C3×#41 | — | 2 | 1 | no | — |
| 64 | #1010 | — | 2 | 2 | no | — |
| 65 | #1010 | — | 4 | 1 | no | — |
| 66 | #1009 | — | 2 | 2 | no | — |
| 67 | #1009 | — | 4 | 1 | no | — |
| 68 | D3×#41 | — | 2 | 2 | no | — |
| 69 | D3×#41 | — | 2 | 2 | no | — |
| 70 | D3×#41 | — | 4 | 2 | no | — |
| 71 | #1007 | — | 2 | 2 | no | — |
| 72 | #1004 | — | 2 | 2 | no | — |
| 73 | #1004 | — | 4 | 1 | no | — |
| 74 | #1004 | — | 4 | 1 | no | — |
| 75 | C2×#237 | — | 2 | 1 | no | — |
| 76 | C2×#235 | — | 2 | 1 | no | — |
| 77 | C2×#235 | — | 4 | 2 | no | — |
| 78 | C2×#235 | D4 | 1 | 1 | yes | characteristic |
| 79 | C3×#137 | — | 2 | 2 | no | — |
| 80 | C3×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 81 | C3×#135 | — | 2 | 1 | no | — |
| 82 | C3×#135 | C23 | 1 | 2 | yes | — |
| 83 | C2×C3×D8 | C23 | 1 | 1 | yes | characteristic |
| 84 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 85 | C3×#121 | — | 2 | 1 | no | — |
| 86 | #950 | — | 2 | 2 | no | — |
| 87 | #950 | — | 2 | 2 | no | — |
| 88 | #950 | — | 2 | 2 | no | — |
| 89 | #950 | — | 2 | 2 | no | — |
| 90 | C2×#216 | — | 2 | 1 | no | — |
| 91 | C2×#215 | — | 2 | 1 | no | — |
| 92 | #939 | — | 4 | 1 | no | — |
| 93 | #938 | — | 2 | 1 | no | — |
| 94 | #938 | — | 4 | 1 | no | — |
| 95 | C2×#214 | — | 2 | 1 | no | — |
| 96 | C2×#214 | — | 2 | 1 | no | — |
| 97 | C2×#213 | — | 2 | 1 | no | — |
| 98 | #924 | — | 2 | 1 | no | — |
| 99 | C22×C3⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 100 | #919 | — | 2 | 1 | no | — |
| 101 | #919 | D4 | 1 | 2 | yes | complemented |
| 102 | #918 | — | 2 | 2 | no | — |
| 103 | #918 | — | 2 | 2 | no | — |
| 104 | D3×Q16 | — | 2 | 1 | no | — |
| 105 | D3×Q16 | D4 | 1 | 2 | yes | complemented |
| 106 | #916 | — | 2 | 2 | no | — |
| 107 | #916 | — | 2 | 2 | no | — |
| 108 | #915 | — | 2 | 2 | no | — |
| 109 | #915 | — | 2 | 2 | no | — |
| 110 | #914 | — | 2 | 2 | no | — |
| 111 | #914 | — | 2 | 2 | no | — |
| 112 | D3×SD16 | — | 2 | 2 | no | — |
| 113 | D3×SD16 | — | 2 | 2 | no | — |
| 114 | #912 | — | 2 | 1 | no | — |
| 115 | #912 | — | 2 | 2 | no | — |
| 116 | #912 | — | 2 | 2 | no | — |
| 117 | #912 | D4 | 1 | 2 | yes | complemented |
| 118 | #911 | — | 2 | 2 | no | — |
| 119 | #911 | — | 2 | 2 | no | — |
| 120 | D3×D8 | — | 2 | 1 | no | — |
| 121 | D3×D8 | D4 | 1 | 2 | yes | complemented |
| 122 | #909 | — | 2 | 2 | no | — |
| 123 | #908 | — | 2 | 2 | no | — |
| 124 | #907 | — | 2 | 2 | no | — |
| 125 | #907 | — | 2 | 2 | no | — |
| 126 | C2×Dic12 | C23 | 1 | 1 | yes | characteristic |
| 127 | #904 | — | 2 | 1 | no | — |
| 128 | #904 | C23 | 1 | 2 | yes | — |
| 129 | C2×ΓL(1,𝔽25) | D4 | 1 | 1 | yes | characteristic |
| 130 | C2×ΓL(1,𝔽25) | C23 | 1 | 1 | yes | characteristic |
| 131 | C2×D3×C8 | D4 | 1 | 1 | yes | characteristic |
| 132 | C2×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 133 | #897 | — | 2 | 1 | no | — |
| 134 | D3×C4⋊C4 | — | 2 | 1 | no | — |
| 135 | #884 | — | 4 | 1 | no | — |
| 136 | #878 | — | 4 | 1 | no | — |
| 137 | C3×SD32 | — | 2 | 2 | no | — |
| 138 | C3×D16 | — | 2 | 2 | no | — |
| 139 | C3×M32 | C23 | 1 | 2 | yes | — |
| 140 | C3×#106 | C23 | 1 | 1 | yes | characteristic |
| 141 | C3×#102 | — | 2 | 1 | no | — |
| 142 | #832 | — | 2 | 1 | no | — |
| 143 | #829 | — | 2 | 2 | no | — |
| 144 | #827 | — | 2 | 2 | no | — |
| 145 | #827 | — | 2 | 2 | no | — |
| 146 | #826 | — | 2 | 2 | no | — |
| 147 | #817 | C23 | 1 | 1 | yes | characteristic |
| 148 | #816 | — | 2 | 1 | no | — |
| 149 | #812 | C23 | 1 | 2 | yes | — |
| 150 | #810 | — | 2 | 1 | no | — |
| 151 | #808 | — | 2 | 1 | no | — |
| 152 | Dic24 | — | 2 | 2 | no | — |
| 153 | #800 | — | 2 | 2 | no | — |
| 154 | #798 | — | 2 | 2 | no | — |
| 155 | D3×C16 | — | 2 | 2 | no | — |
| 156 | #585 | — | 6 | 1 | no | — |
| 157 | #578 | — | 6 | 2 | no | — |
| 158 | #577 | — | 6 | 2 | no | — |
| 159 | #577 | — | 6 | 2 | no | — |
| 160 | #576 | — | 6 | 2 | no | — |
| 161 | #575 | — | 3 | 2 | no | — |
| 162 | #575 | — | 3 | 1 | no | — |
| 163 | #575 | — | 6 | 1 | no | — |
| 164 | #575 | C2×D3 | 1 | 1 | yes | characteristic |
| 165 | C2×#135 | — | 3 | 2 | no | — |
| 166 | C2×#135 | — | 3 | 1 | no | — |
| 167 | C2×#135 | — | 6 | 1 | no | — |
| 168 | C2×#135 | — | 6 | 1 | no | — |
| 169 | C2×#131 | — | 3 | 1 | no | — |
| 170 | #537 | — | 6 | 1 | no | — |
| 171 | #510 | — | 3 | 2 | no | — |
| 172 | #510 | — | 3 | 2 | no | — |
| 173 | #510 | — | 6 | 2 | no | — |
| 174 | #509 | — | 3 | 2 | no | — |
| 175 | #509 | — | 6 | 2 | no | — |
| 176 | #509 | C2×D3 | 1 | 2 | yes | complemented |
| 177 | #508 | — | 6 | 2 | no | — |
| 178 | #508 | — | 6 | 2 | no | — |
| 179 | C2×M32 | — | 3 | 2 | no | — |
| 180 | #470 | — | 3 | 1 | no | — |
| 181 | #470 | — | 3 | 1 | no | — |
| 182 | #469 | — | 3 | 1 | no | — |
| 183 | #469 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 184 | #465 | — | 6 | 1 | no | — |
| 185 | #465 | — | 6 | 1 | no | — |
| 186 | C2×#106 | — | 3 | 1 | no | — |
| 187 | #417 | — | 6 | 1 | no | — |
| 188 | #360 | — | 3 | 2 | no | — |
| 189 | #360 | — | 3 | 2 | no | — |
| 190 | #360 | — | 3 | 2 | no | — |
| 191 | #360 | C2×D3 | 1 | 2 | yes | complemented |
| 192 | #349 | — | 3 | 1 | no | — |
| 193 | #349 | — | 3 | 2 | no | — |
| 194 | #349 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 195 | C3×#41 | — | 2 | 2 | no | — |
| 196 | C3×#41 | — | 2 | 2 | no | — |
| 197 | C3×#41 | — | 4 | 1 | no | — |
| 198 | C3×#41 | — | 4 | 1 | no | — |
| 199 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 200 | C2×C3×D4 | — | 2 | 1 | no | — |
| 201 | C2×C3×D4 | — | 2 | 1 | no | — |
| 202 | C2×C3×D4 | — | 4 | 1 | no | — |
| 203 | C2×C3×D4 | — | 4 | 1 | no | — |
| 204 | C22×C3×C4 | — | 4 | 1 | no | — |
| 205 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 206 | C2×#67 | — | 4 | 2 | no | — |
| 207 | C2×#67 | — | 4 | 2 | no | — |
| 208 | C2×#67 | — | 4 | 1 | no | — |
| 209 | C2×#67 | — | 4 | 1 | no | — |
| 210 | C2×#67 | — | 4 | 1 | no | — |
| 211 | C2×#67 | D8 | 1 | 1 | yes | characteristic |
| 212 | C2×#67 | D8 | 1 | 1 | yes | characteristic |
| 213 | C22×Dic3 | — | 4 | 1 | no | — |
| 214 | #239 | — | 2 | 2 | no | — |
| 215 | #239 | — | 2 | 2 | no | — |
| 216 | #239 | — | 4 | 2 | no | — |
| 217 | D3×Q8 | — | 2 | 2 | no | — |
| 218 | D3×Q8 | — | 2 | 2 | no | — |
| 219 | D3×Q8 | — | 4 | 2 | no | — |
| 220 | #237 | — | 2 | 2 | no | — |
| 221 | #237 | — | 2 | 2 | no | — |
| 222 | #237 | — | 4 | 2 | no | — |
| 223 | #237 | — | 4 | 2 | no | — |
| 224 | #237 | — | 4 | 2 | no | — |
| 225 | #237 | — | 4 | 2 | no | — |
| 226 | #237 | — | 4 | 2 | no | — |
| 227 | #237 | — | 4 | 2 | no | — |
| 228 | #237 | — | 4 | 2 | no | — |
| 229 | D3×D4 | — | 2 | 2 | no | — |
| 230 | D3×D4 | — | 2 | 2 | no | — |
| 231 | D3×D4 | — | 4 | 2 | no | — |
| 232 | D3×D4 | — | 4 | 2 | no | — |
| 233 | D3×D4 | — | 4 | 2 | no | — |
| 234 | D3×D4 | — | 4 | 2 | no | — |
| 235 | D3×D4 | — | 4 | 2 | no | — |
| 236 | #235 | — | 2 | 2 | no | — |
| 237 | #235 | — | 2 | 2 | no | — |
| 238 | #235 | — | 2 | 2 | no | — |
| 239 | #235 | — | 2 | 2 | no | — |
| 240 | #235 | — | 4 | 2 | no | — |
| 241 | #235 | — | 4 | 2 | no | — |
| 242 | #235 | — | 4 | 2 | no | — |
| 243 | #235 | — | 4 | 2 | no | — |
| 244 | #235 | — | 4 | 2 | no | — |
| 245 | #235 | — | 4 | 1 | no | — |
| 246 | #235 | — | 4 | 1 | no | — |
| 247 | #235 | — | 4 | 2 | no | — |
| 248 | C2×D12 | — | 2 | 1 | no | — |
| 249 | C2×D12 | — | 4 | 2 | no | — |
| 250 | C2×D12 | D8 | 1 | 1 | yes | characteristic |
| 251 | C2×C4×D3 | — | 4 | 2 | no | — |
| 252 | C2×C4×D3 | — | 4 | 1 | no | — |
| 253 | C2×C4×D3 | — | 4 | 2 | no | — |
| 254 | C2×C4×D3 | — | 4 | 1 | no | — |
| 255 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 256 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 257 | C2×Dic6 | — | 2 | 1 | no | — |
| 258 | C2×Dic6 | — | 2 | 1 | no | — |
| 259 | C2×Dic6 | — | 4 | 2 | no | — |
| 260 | C2×Dic6 | D8 | 1 | 1 | yes | characteristic |
| 261 | C3×Q16 | — | 2 | 1 | no | — |
| 262 | C3×Q16 | C2×D4 | 1 | 2 | yes | — |
| 263 | C3×SD16 | — | 2 | 2 | no | — |
| 264 | C3×SD16 | — | 2 | 2 | no | — |
| 265 | C3×D8 | — | 2 | 1 | no | — |
| 266 | C3×D8 | — | 2 | 2 | no | — |
| 267 | C3×D8 | C2×D4 | 1 | 2 | yes | — |
| 268 | C3×M16 | — | 2 | 2 | no | — |
| 269 | C2×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 270 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 271 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 272 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 273 | #217 | — | 4 | 1 | no | — |
| 274 | #217 | — | 4 | 1 | no | — |
| 275 | #216 | — | 2 | 2 | no | — |
| 276 | #216 | — | 2 | 2 | no | — |
| 277 | #215 | — | 2 | 2 | no | — |
| 278 | #215 | — | 2 | 2 | no | — |
| 279 | #214 | — | 2 | 2 | no | — |
| 280 | #214 | — | 2 | 2 | no | — |
| 281 | #214 | — | 4 | 1 | no | — |
| 282 | #214 | — | 4 | 1 | no | — |
| 283 | #213 | — | 2 | 2 | no | — |
| 284 | #213 | — | 2 | 2 | no | — |
| 285 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 286 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 287 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 288 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 289 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 290 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 291 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 292 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 293 | C2×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 294 | Dic12 | — | 2 | 1 | no | — |
| 295 | Dic12 | — | 2 | 2 | no | — |
| 296 | Dic12 | C2×D4 | 1 | 2 | yes | — |
| 297 | D24 | — | 2 | 1 | no | — |
| 298 | D24 | C2×D4 | 1 | 2 | yes | — |
| 299 | #204 | — | 2 | 2 | no | — |
| 300 | #204 | — | 2 | 2 | no | — |
| 301 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 302 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 303 | D3×C8 | — | 2 | 1 | no | — |
| 304 | D3×C8 | — | 2 | 1 | no | — |
| 305 | D3×C8 | C2×D4 | 1 | 2 | yes | — |
| 306 | D3×C8 | C2×D4 | 1 | 2 | yes | — |
| 307 | C3×C16 | — | 2 | 2 | no | — |
| 308 | C3⋊C16 | — | 2 | 2 | no | — |
| 309 | 2−1+4 | — | 6 | 2 | no | — |
| 310 | 2−1+4 | — | 6 | 2 | no | — |
| 311 | 2−1+4 | — | 12 | 1 | no | — |
| 312 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 313 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 314 | H(5,𝔽2) | — | 12 | 1 | no | — |
| 315 | H(5,𝔽2) | — | 12 | 1 | no | — |
| 316 | H(5,𝔽2) | — | 12 | 1 | no | — |
| 317 | C2×#41 | — | 2 | 1 | no | — |
| 318 | C2×#41 | — | 3 | 1 | no | — |
| 319 | C2×#41 | — | 6 | 1 | no | — |
| 320 | C2×#41 | — | 6 | 2 | no | — |
| 321 | C2×#41 | — | 6 | 2 | no | — |
| 322 | C2×#41 | — | 6 | 1 | no | — |
| 323 | C2×#41 | — | 12 | 2 | no | — |
| 324 | C2×#41 | — | 12 | 2 | no | — |
| 325 | #137 | — | 2 | 2 | no | — |
| 326 | #137 | — | 6 | 2 | no | — |
| 327 | #137 | — | 6 | 2 | no | — |
| 328 | #137 | — | 6 | 2 | no | — |
| 329 | #137 | — | 6 | 2 | no | — |
| 330 | #137 | — | 6 | 2 | no | — |
| 331 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 332 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 333 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 334 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 335 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 336 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 337 | #135 | — | 2 | 1 | no | — |
| 338 | #135 | — | 3 | 2 | no | — |
| 339 | #135 | — | 3 | 2 | no | — |
| 340 | #135 | — | 3 | 2 | no | — |
| 341 | #135 | — | 6 | 2 | no | — |
| 342 | #135 | — | 6 | 2 | no | — |
| 343 | #135 | — | 6 | 2 | no | — |
| 344 | #135 | — | 6 | 2 | no | — |
| 345 | #135 | — | 6 | 2 | no | — |
| 346 | #135 | — | 6 | 1 | no | — |
| 347 | #135 | — | 6 | 2 | no | — |
| 348 | #135 | — | 6 | 1 | no | — |
| 349 | #135 | — | 6 | 2 | no | — |
| 350 | #135 | — | 6 | 2 | no | — |
| 351 | #135 | — | 6 | 1 | no | — |
| 352 | #135 | C22×D3 | 1 | 2 | yes | — |
| 353 | C2×Q16 | — | 3 | 2 | no | — |
| 354 | C2×Q16 | — | 3 | 1 | no | — |
| 355 | C2×Q16 | — | 6 | 1 | no | — |
| 356 | C2×Q16 | — | 6 | 1 | no | — |
| 357 | C2×SD16 | — | 6 | 2 | no | — |
| 358 | C2×SD16 | — | 6 | 1 | no | — |
| 359 | C2×SD16 | — | 6 | 2 | no | — |
| 360 | C2×SD16 | — | 6 | 1 | no | — |
| 361 | C2×SD16 | — | 6 | 1 | no | — |
| 362 | C2×D8 | — | 3 | 2 | no | — |
| 363 | C2×D8 | — | 6 | 1 | no | — |
| 364 | C2×D8 | — | 6 | 1 | no | — |
| 365 | C2×D8 | C22×D3 | 1 | 1 | yes | characteristic |
| 366 | #131 | — | 6 | 2 | no | — |
| 367 | #131 | — | 6 | 2 | no | — |
| 368 | C2×M16 | — | 3 | 1 | no | — |
| 369 | C2×M16 | — | 3 | 1 | no | — |
| 370 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 371 | C22×C8 | — | 3 | 1 | no | — |
| 372 | C22×C8 | — | 3 | 1 | no | — |
| 373 | C22×C8 | — | 3 | 1 | no | — |
| 374 | C22⋊Q8 | — | 6 | 1 | no | — |
| 375 | C22⋊Q8 | — | 6 | 1 | no | — |
| 376 | C22⋊Q8 | — | 12 | 1 | no | — |
| 377 | #121 | — | 2 | 1 | no | — |
| 378 | #121 | — | 6 | 1 | no | — |
| 379 | #121 | — | 12 | 1 | no | — |
| 380 | #121 | — | 12 | 1 | no | — |
| 381 | #121 | — | 12 | 1 | no | — |
| 382 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 383 | Q32 | — | 6 | 2 | no | — |
| 384 | Q32 | — | 6 | 2 | no | — |
| 385 | SD32 | — | 2 | 2 | no | — |
| 386 | SD32 | — | 6 | 2 | no | — |
| 387 | SD32 | — | 6 | 2 | no | — |
| 388 | SD32 | — | 6 | 2 | no | — |
| 389 | D16 | — | 2 | 2 | no | — |
| 390 | D16 | — | 6 | 2 | no | — |
| 391 | M32 | — | 3 | 2 | no | — |
| 392 | M32 | — | 6 | 2 | no | — |
| 393 | M32 | C22×D3 | 1 | 2 | yes | — |
| 394 | C2×C16 | — | 6 | 2 | no | — |
| 395 | #106 | — | 3 | 1 | no | — |
| 396 | #106 | — | 6 | 1 | no | — |
| 397 | #106 | C22×D3 | 1 | 1 | yes | characteristic |
| 398 | #103 | — | 6 | 1 | no | — |
| 399 | #103 | — | 6 | 1 | no | — |
| 400 | #102 | — | 2 | 1 | no | — |
| 401 | #102 | — | 6 | 1 | no | — |
| 402 | C23×C3 | — | 4 | 1 | no | — |
| 403 | C23×C3 | — | 4 | 1 | no | — |
| 404 | C23×C3 | C2×D8 | 1 | 1 | yes | characteristic |
| 405 | C22×D3 | — | 4 | 2 | no | — |
| 406 | C22×D3 | — | 4 | 1 | no | — |
| 407 | C22×D3 | — | 4 | 2 | no | — |
| 408 | C22×D3 | C2×D8 | 1 | 1 | yes | characteristic |
| 409 | C22×D3 | C2×D8 | 1 | 1 | yes | characteristic |
| 410 | C3×Q8 | — | 2 | 2 | no | — |
| 411 | C3×Q8 | — | 4 | 1 | no | — |
| 412 | C3×D4 | — | 2 | 2 | no | — |
| 413 | C3×D4 | — | 4 | 1 | no | — |
| 414 | C3×D4 | — | 4 | 2 | no | — |
| 415 | C3×D4 | — | 4 | 2 | no | — |
| 416 | C3×D4 | — | 4 | 1 | no | — |
| 417 | C3×D4 | — | 4 | 1 | no | — |
| 418 | C3×D4 | — | 16 | 1 | no | — |
| 419 | C2×C3×C4 | — | 2 | 1 | no | — |
| 420 | C2×C3×C4 | — | 2 | 1 | no | — |
| 421 | C2×C3×C4 | — | 4 | 2 | no | — |
| 422 | C2×C3×C4 | — | 4 | 1 | no | — |
| 423 | C2×C3×C4 | — | 4 | 2 | no | — |
| 424 | C2×C3×C4 | — | 4 | 1 | no | — |
| 425 | C2×C3×C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 426 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 427 | #67 | — | 2 | 2 | no | — |
| 428 | #67 | — | 2 | 2 | no | — |
| 429 | #67 | — | 4 | 2 | no | — |
| 430 | #67 | — | 4 | 2 | no | — |
| 431 | #67 | — | 4 | 2 | no | — |
| 432 | #67 | — | 4 | 2 | no | — |
| 433 | #67 | — | 4 | 2 | no | — |
| 434 | #67 | — | 4 | 2 | no | — |
| 435 | #67 | — | 8 | 2 | no | — |
| 436 | #67 | — | 16 | 1 | no | — |
| 437 | C2×Dic3 | — | 4 | 2 | no | — |
| 438 | C2×Dic3 | — | 4 | 1 | no | — |
| 439 | C2×Dic3 | — | 4 | 2 | no | — |
| 440 | C2×Dic3 | — | 4 | 1 | no | — |
| 441 | C2×Dic3 | — | 4 | 1 | no | — |
| 442 | C2×Dic3 | — | 8 | 2 | no | — |
| 443 | C2×Dic3 | C2×D8 | 1 | 1 | yes | characteristic |
| 444 | C2×Dic3 | C2×D8 | 1 | 1 | yes | characteristic |
| 445 | D12 | — | 2 | 2 | no | — |
| 446 | D12 | — | 2 | 2 | no | — |
| 447 | D12 | — | 4 | 1 | no | — |
| 448 | D12 | — | 4 | 2 | no | — |
| 449 | D12 | — | 4 | 2 | no | — |
| 450 | C4×D3 | — | 2 | 1 | no | — |
| 451 | C4×D3 | — | 2 | 1 | no | — |
| 452 | C4×D3 | — | 4 | 2 | no | — |
| 453 | C4×D3 | — | 4 | 2 | no | — |
| 454 | C4×D3 | — | 4 | 2 | no | — |
| 455 | C4×D3 | — | 4 | 2 | no | — |
| 456 | C4×D3 | — | 4 | 2 | no | — |
| 457 | C4×D3 | — | 4 | 2 | no | — |
| 458 | C4×D3 | — | 16 | 1 | no | — |
| 459 | C4×D3 | #120 | 1 | 2 | yes | — |
| 460 | C4×D3 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 461 | Dic6 | — | 2 | 2 | no | — |
| 462 | Dic6 | — | 2 | 2 | no | — |
| 463 | Dic6 | — | 4 | 2 | no | — |
| 464 | Dic6 | — | 4 | 1 | no | — |
| 465 | Dic6 | — | 4 | 2 | no | — |
| 466 | Dic6 | — | 4 | 1 | no | — |
| 467 | Dic6 | — | 4 | 1 | no | — |
| 468 | C3×C8 | — | 2 | 1 | no | — |
| 469 | C3×C8 | C22×D4 | 1 | 2 | yes | — |
| 470 | C3⋊C8 | — | 2 | 1 | no | — |
| 471 | C3⋊C8 | #120 | 1 | 1 | yes | characteristic |
| 472 | C3⋊C8 | #120 | 1 | 1 | yes | characteristic |
| 473 | #41 | — | 2 | 2 | no | — |
| 474 | #41 | — | 2 | 2 | no | — |
| 475 | #41 | — | 4 | 1 | no | — |
| 476 | #41 | — | 4 | 1 | no | — |
| 477 | #41 | — | 6 | 2 | no | — |
| 478 | #41 | — | 6 | 2 | no | — |
| 479 | #41 | — | 6 | 2 | no | — |
| 480 | #41 | — | 6 | 2 | no | — |
| 481 | #41 | — | 6 | 2 | no | — |
| 482 | #41 | — | 6 | 2 | no | — |
| 483 | #41 | — | 6 | 2 | no | — |
| 484 | #41 | — | 6 | 2 | no | — |
| 485 | #41 | — | 12 | 1 | no | — |
| 486 | #41 | — | 12 | 2 | no | — |
| 487 | #41 | — | 12 | 2 | no | — |
| 488 | #41 | — | 12 | 2 | no | — |
| 489 | #41 | — | 12 | 2 | no | — |
| 490 | #41 | — | 12 | 2 | no | — |
| 491 | #41 | — | 12 | 2 | no | — |
| 492 | #41 | — | 12 | 2 | no | — |
| 493 | #41 | — | 12 | 2 | no | — |
| 494 | #41 | — | 12 | 2 | no | — |
| 495 | #41 | — | 12 | 2 | no | — |
| 496 | #41 | — | 12 | 2 | no | — |
| 497 | #41 | — | 12 | 2 | no | — |
| 498 | #41 | — | 12 | 2 | no | — |
| 499 | #41 | — | 12 | 2 | no | — |
| 500 | #41 | — | 12 | 1 | no | — |
| 501 | C2×Q8 | — | 2 | 1 | no | — |
| 502 | C2×Q8 | — | 3 | 1 | no | — |
| 503 | C2×Q8 | — | 6 | 1 | no | — |
| 504 | C2×Q8 | — | 6 | 2 | no | — |
| 505 | C2×Q8 | — | 6 | 2 | no | — |
| 506 | C2×Q8 | — | 6 | 1 | no | — |
| 507 | C2×Q8 | — | 12 | 2 | no | — |
| 508 | C2×Q8 | — | 12 | 2 | no | — |
| 509 | C2×D4 | — | 2 | 1 | no | — |
| 510 | C2×D4 | — | 2 | 1 | no | — |
| 511 | C2×D4 | — | 3 | 1 | no | — |
| 512 | C2×D4 | — | 3 | 1 | no | — |
| 513 | C2×D4 | — | 3 | 1 | no | — |
| 514 | C2×D4 | — | 4 | 1 | no | — |
| 515 | C2×D4 | — | 4 | 1 | no | — |
| 516 | C2×D4 | — | 6 | 1 | no | — |
| 517 | C2×D4 | — | 6 | 2 | no | — |
| 518 | C2×D4 | — | 6 | 2 | no | — |
| 519 | C2×D4 | — | 12 | 2 | no | — |
| 520 | C2×D4 | — | 12 | 2 | no | — |
| 521 | C2×D4 | — | 12 | 2 | no | — |
| 522 | C2×D4 | — | 12 | 2 | no | — |
| 523 | C2×D4 | — | 12 | 2 | no | — |
| 524 | C2×D4 | — | 12 | 2 | no | — |
| 525 | C2×D4 | — | 12 | 2 | no | — |
| 526 | C2×D4 | — | 12 | 2 | no | — |
| 527 | C2×D4 | — | 12 | 1 | no | — |
| 528 | C2×D4 | — | 12 | 1 | no | — |
| 529 | C2×D4 | — | 12 | 1 | no | — |
| 530 | C22×C4 | — | 3 | 1 | no | — |
| 531 | C22×C4 | — | 3 | 1 | no | — |
| 532 | C22×C4 | — | 4 | 1 | no | — |
| 533 | C22×C4 | — | 12 | 1 | no | — |
| 534 | C22×C4 | — | 12 | 2 | no | — |
| 535 | C22×C4 | — | 12 | 1 | no | — |
| 536 | C22×C4 | — | 12 | 2 | no | — |
| 537 | C22×C4 | — | 12 | 1 | no | — |
| 538 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 539 | Q16 | — | 2 | 1 | no | — |
| 540 | Q16 | — | 3 | 2 | no | — |
| 541 | Q16 | — | 6 | 1 | no | — |
| 542 | Q16 | — | 6 | 2 | no | — |
| 543 | Q16 | — | 6 | 2 | no | — |
| 544 | Q16 | — | 6 | 2 | no | — |
| 545 | Q16 | D3×D4 | 1 | 2 | yes | — |
| 546 | SD16 | — | 2 | 2 | no | — |
| 547 | SD16 | — | 2 | 2 | no | — |
| 548 | SD16 | — | 6 | 2 | no | — |
| 549 | SD16 | — | 6 | 2 | no | — |
| 550 | SD16 | — | 6 | 2 | no | — |
| 551 | SD16 | — | 6 | 2 | no | — |
| 552 | SD16 | — | 6 | 2 | no | — |
| 553 | SD16 | — | 6 | 2 | no | — |
| 554 | SD16 | — | 12 | 1 | no | — |
| 555 | SD16 | — | 12 | 1 | no | — |
| 556 | D8 | — | 2 | 1 | no | — |
| 557 | D8 | — | 2 | 2 | no | — |
| 558 | D8 | — | 3 | 2 | no | — |
| 559 | D8 | — | 6 | 1 | no | — |
| 560 | D8 | — | 6 | 2 | no | — |
| 561 | D8 | — | 6 | 2 | no | — |
| 562 | D8 | D3×D4 | 1 | 2 | yes | — |
| 563 | M16 | — | 2 | 2 | no | — |
| 564 | M16 | — | 6 | 2 | no | — |
| 565 | M16 | — | 6 | 2 | no | — |
| 566 | C2×C8 | — | 3 | 1 | no | — |
| 567 | C2×C8 | — | 3 | 2 | no | — |
| 568 | C2×C8 | — | 3 | 2 | no | — |
| 569 | C2×C8 | — | 3 | 1 | no | — |
| 570 | C2×C8 | — | 6 | 1 | no | — |
| 571 | C2×C8 | — | 6 | 1 | no | — |
| 572 | C2×C8 | — | 6 | 1 | no | — |
| 573 | C2×C8 | — | 6 | 1 | no | — |
| 574 | C2×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 575 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 576 | C4⋊C4 | — | 2 | 1 | no | — |
| 577 | C4⋊C4 | — | 6 | 1 | no | — |
| 578 | C4⋊C4 | — | 12 | 1 | no | — |
| 579 | C4⋊C4 | — | 12 | 1 | no | — |
| 580 | C4⋊C4 | — | 12 | 1 | no | — |
| 581 | C22⋊C4 | — | 4 | 1 | no | — |
| 582 | C22⋊C4 | — | 12 | 1 | no | — |
| 583 | C22⋊C4 | — | 12 | 1 | no | — |
| 584 | C22⋊C4 | — | 12 | 1 | no | — |
| 585 | C16 | — | 2 | 2 | no | — |
| 586 | C16 | — | 6 | 2 | no | — |
| 587 | C22×C3 | — | 2 | 1 | no | — |
| 588 | C22×C3 | — | 4 | 1 | no | — |
| 589 | C22×C3 | — | 4 | 2 | no | — |
| 590 | C22×C3 | — | 8 | 1 | no | — |
| 591 | C22×C3 | — | 8 | 1 | no | — |
| 592 | C22×C3 | — | 8 | 1 | no | — |
| 593 | C22×C3 | — | 16 | 1 | no | — |
| 594 | C22×C3 | C22×D8 | 1 | 1 | yes | characteristic |
| 595 | C2×D3 | — | 2 | 1 | no | — |
| 596 | C2×D3 | — | 4 | 1 | no | — |
| 597 | C2×D3 | — | 4 | 1 | no | — |
| 598 | C2×D3 | — | 4 | 2 | no | — |
| 599 | C2×D3 | — | 16 | 2 | no | — |
| 600 | C2×D3 | — | 16 | 2 | no | — |
| 601 | C2×D3 | — | 16 | 1 | no | — |
| 602 | C2×D3 | #447 | 1 | 2 | yes | — |
| 603 | C3×C4 | — | 2 | 1 | no | — |
| 604 | C3×C4 | — | 4 | 2 | no | — |
| 605 | C3×C4 | — | 8 | 1 | no | — |
| 606 | C3×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 607 | C3×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 608 | Dic3 | — | 2 | 1 | no | — |
| 609 | Dic3 | — | 4 | 2 | no | — |
| 610 | Dic3 | — | 8 | 1 | no | — |
| 611 | Dic3 | — | 8 | 1 | no | — |
| 612 | Dic3 | #447 | 1 | 2 | yes | — |
| 613 | C23 | — | 3 | 1 | no | — |
| 614 | C23 | — | 3 | 1 | no | — |
| 615 | C23 | — | 4 | 1 | no | — |
| 616 | C23 | — | 4 | 1 | no | — |
| 617 | C23 | — | 12 | 1 | no | — |
| 618 | C23 | — | 12 | 2 | no | — |
| 619 | C23 | — | 12 | 2 | no | — |
| 620 | C23 | D3×D8 | 1 | 1 | yes | characteristic |
| 621 | Q8 | — | 2 | 2 | no | — |
| 622 | Q8 | — | 4 | 1 | no | — |
| 623 | Q8 | — | 6 | 2 | no | — |
| 624 | Q8 | — | 6 | 2 | no | — |
| 625 | Q8 | — | 12 | 1 | no | — |
| 626 | Q8 | — | 12 | 2 | no | — |
| 627 | Q8 | — | 12 | 2 | no | — |
| 628 | Q8 | — | 12 | 1 | no | — |
| 629 | Q8 | — | 12 | 1 | no | — |
| 630 | D4 | — | 2 | 2 | no | — |
| 631 | D4 | — | 4 | 1 | no | — |
| 632 | D4 | — | 4 | 2 | no | — |
| 633 | D4 | — | 4 | 2 | no | — |
| 634 | D4 | — | 4 | 1 | no | — |
| 635 | D4 | — | 4 | 1 | no | — |
| 636 | D4 | — | 6 | 2 | no | — |
| 637 | D4 | — | 6 | 2 | no | — |
| 638 | D4 | — | 6 | 2 | no | — |
| 639 | D4 | — | 6 | 2 | no | — |
| 640 | D4 | — | 12 | 1 | no | — |
| 641 | D4 | — | 12 | 2 | no | — |
| 642 | D4 | — | 12 | 2 | no | — |
| 643 | D4 | — | 12 | 2 | no | — |
| 644 | D4 | — | 12 | 2 | no | — |
| 645 | D4 | — | 12 | 2 | no | — |
| 646 | D4 | — | 12 | 2 | no | — |
| 647 | D4 | — | 12 | 2 | no | — |
| 648 | D4 | — | 12 | 2 | no | — |
| 649 | D4 | — | 16 | 1 | no | — |
| 650 | D4 | — | 24 | 2 | no | — |
| 651 | D4 | — | 48 | 1 | no | — |
| 652 | C2×C4 | — | 2 | 1 | no | — |
| 653 | C2×C4 | — | 2 | 1 | no | — |
| 654 | C2×C4 | — | 3 | 1 | no | — |
| 655 | C2×C4 | — | 3 | 2 | no | — |
| 656 | C2×C4 | — | 3 | 2 | no | — |
| 657 | C2×C4 | — | 3 | 1 | no | — |
| 658 | C2×C4 | — | 4 | 2 | no | — |
| 659 | C2×C4 | — | 4 | 1 | no | — |
| 660 | C2×C4 | — | 4 | 2 | no | — |
| 661 | C2×C4 | — | 4 | 1 | no | — |
| 662 | C2×C4 | — | 6 | 1 | no | — |
| 663 | C2×C4 | — | 6 | 1 | no | — |
| 664 | C2×C4 | — | 12 | 2 | no | — |
| 665 | C2×C4 | — | 12 | 2 | no | — |
| 666 | C2×C4 | — | 12 | 2 | no | — |
| 667 | C2×C4 | — | 12 | 2 | no | — |
| 668 | C2×C4 | — | 12 | 2 | no | — |
| 669 | C2×C4 | — | 12 | 2 | no | — |
| 670 | C2×C4 | — | 12 | 2 | no | — |
| 671 | C2×C4 | — | 12 | 1 | no | — |
| 672 | C2×C4 | — | 12 | 2 | no | — |
| 673 | C2×C4 | — | 12 | 1 | no | — |
| 674 | C2×C4 | — | 12 | 1 | no | — |
| 675 | C2×C4 | — | 24 | 2 | no | — |
| 676 | C2×C4 | — | 48 | 1 | no | — |
| 677 | C2×C4 | D3×D8 | 1 | 1 | yes | characteristic |
| 678 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 679 | C8 | — | 2 | 1 | no | — |
| 680 | C8 | — | 3 | 1 | no | — |
| 681 | C8 | — | 3 | 1 | no | — |
| 682 | C8 | — | 6 | 1 | no | — |
| 683 | C8 | C2×D3×D4 | 1 | 2 | yes | — |
| 684 | C2×C3 | — | 2 | 1 | no | — |
| 685 | C2×C3 | — | 4 | 1 | no | — |
| 686 | C2×C3 | — | 8 | 2 | no | — |
| 687 | C2×C3 | — | 16 | 1 | no | — |
| 688 | C2×C3 | C2×#447 | 1 | 1 | yes | characteristic |
| 689 | D3 | — | 2 | 2 | no | — |
| 690 | D3 | — | 4 | 1 | no | — |
| 691 | D3 | — | 8 | 2 | no | — |
| 692 | C22 | — | 2 | 1 | no | — |
| 693 | C22 | — | 3 | 2 | no | — |
| 694 | C22 | — | 4 | 1 | no | — |
| 695 | C22 | — | 4 | 2 | no | — |
| 696 | C22 | — | 6 | 1 | no | — |
| 697 | C22 | — | 8 | 1 | no | — |
| 698 | C22 | — | 8 | 1 | no | — |
| 699 | C22 | — | 8 | 1 | no | — |
| 700 | C22 | — | 12 | 1 | no | — |
| 701 | C22 | — | 12 | 1 | no | — |
| 702 | C22 | — | 12 | 2 | no | — |
| 703 | C22 | — | 16 | 1 | no | — |
| 704 | C22 | — | 48 | 1 | no | — |
| 705 | C22 | — | 48 | 2 | no | — |
| 706 | C22 | — | 48 | 2 | no | — |
| 707 | C22 | C2×D3×D8 | 1 | 1 | yes | characteristic |
| 708 | C4 | — | 2 | 1 | no | — |
| 709 | C4 | — | 3 | 2 | no | — |
| 710 | C4 | — | 4 | 2 | no | — |
| 711 | C4 | — | 6 | 1 | no | — |
| 712 | C4 | — | 8 | 1 | no | — |
| 713 | C4 | — | 12 | 2 | no | — |
| 714 | C4 | — | 24 | 1 | no | — |
| 715 | C4 | — | 24 | 1 | no | — |
| 716 | C4 | D3×#120 | 1 | 1 | yes | characteristic |
| 717 | C4 | D3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 718 | C3 | #33533 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 719 | C2 | — | 2 | 1 | no | — |
| 720 | C2 | — | 4 | 1 | no | — |
| 721 | C2 | — | 6 | 2 | no | — |
| 722 | C2 | — | 8 | 2 | no | — |
| 723 | C2 | — | 12 | 1 | no | — |
| 724 | C2 | — | 16 | 1 | no | — |
| 725 | C2 | — | 24 | 2 | no | — |
| 726 | C2 | D3×#447 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #87199 | C2 | semidirect |
| 2. #82035 | C2 | semidirect |
| 3. #80866 | C2 | semidirect |
| 4. C3×#2190 | C2 | semidirect |
| 5. #72113 | C2 | semidirect |
| 6. #71516 | C2 | semidirect |
| 7. #71089 | C2 | semidirect |
| 8. #69253 | C2 | semidirect |
| 9. D3×#360 | C2 | semidirect |
| 10. #69121 | C2 | semidirect |
| 11. #69119 | C2 | semidirect |
| 24. C2×#912 | C22 | semidirect |
| 28. C3×#509 | C22 | semidirect |
| 29. C3×#469 | C22 | semidirect |
| 30. #5195 | C22 | semidirect |
| 31. #5159 | C22 | semidirect |
| 32. #5147 | C22 | semidirect |
| 33. #5137 | C22 | semidirect |
| 39. #4909 | C22 | semidirect |
| 40. D3×M32 | C22 | semidirect |
| 41. #4867 | C22 | semidirect |
| 42. D3×#106 | C22 | semidirect |
| 45. C3×#360 | C22 | semidirect |
| 46. C3×#349 | C22 | semidirect |
| 47. #4566 | C22 | semidirect |
| 48. #4553 | C22 | semidirect |
| 49. #4518 | C22 | semidirect |
| 50. #4514 | C22 | semidirect |
| 51. #4488 | C22 | semidirect |
| 60. #2190 | D3 | semidirect |
| 101. #919 | D4 | semidirect |
| 105. D3×Q16 | D4 | semidirect |
| 117. #912 | D4 | semidirect |
| 121. D3×D8 | D4 | semidirect |
| 176. #509 | C2×D3 | semidirect |
| 183. #469 | C2×D3 | semidirect |
| 191. #360 | C2×D3 | semidirect |
| 194. #349 | C2×D3 | semidirect |
| 718. C3 | #33533 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #87199 | 2 |
| #82035 | 2 |
| #80866 | 2 |
| C3×#2190 | 2 |
| #72113 | 2 |
| #71516 | 2 |
| #71089 | 2 |
| #69253 | 2 |
| D3×#360 | 2 |
| #69121 | 2 |
| #69119 | 2 |
| #33533 | 3 |