Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
1450 conjugacy classes of subgroups.
The subgroup lattice has 712 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C22×#932 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×#5218 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#4748 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #78640 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #78631 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#1783 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #70092 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #70091 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #70088 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #69986 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #69984 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #24399 | — | 3 | 1 | no | maximal, Sylow |
| 13 | C23×C3×D4 | C22 | 1 | 1 | yes | characteristic |
| 14 | C22×#235 | C22 | 1 | 1 | yes | characteristic |
| 15 | C22×#214 | — | 2 | 1 | no | — |
| 16 | C22×#214 | C22 | 1 | 2 | yes | complemented |
| 17 | C2×#932 | — | 2 | 1 | no | — |
| 18 | C2×#932 | — | 2 | 1 | no | — |
| 19 | C2×#932 | — | 2 | 8 | no | — |
| 20 | C2×#932 | C22 | 1 | 2 | yes | — |
| 21 | C2×#932 | C22 | 1 | 2 | yes | — |
| 22 | C22×#213 | — | 2 | 1 | no | — |
| 23 | C2×#924 | C22 | 1 | 1 | yes | characteristic |
| 24 | C22×#208 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#909 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×#909 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×#907 | C22 | 1 | 2 | yes | complemented |
| 28 | C2×C3×#100 | C22 | 1 | 2 | yes | complemented |
| 29 | C2×C3×#100 | C22 | 1 | 2 | yes | complemented |
| 30 | C3×#407 | C22 | 1 | 1 | yes | characteristic |
| 31 | C3×#407 | C22 | 1 | 1 | yes | characteristic |
| 32 | #5218 | — | 2 | 1 | no | — |
| 33 | #5218 | — | 2 | 1 | no | — |
| 34 | #5218 | — | 2 | 2 | no | — |
| 35 | C2×#832 | C22 | 1 | 2 | yes | complemented |
| 36 | C2×#830 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×#824 | C22 | 1 | 2 | yes | complemented |
| 38 | #5133 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #5133 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #5129 | C22 | 1 | 2 | yes | complemented |
| 41 | C2×#822 | C22 | 1 | 2 | yes | complemented |
| 42 | #4748 | — | 2 | 8 | no | — |
| 43 | #4739 | — | 2 | 1 | no | — |
| 44 | #4733 | — | 2 | 1 | no | — |
| 45 | #4733 | — | 2 | 1 | no | — |
| 46 | #4731 | — | 2 | 1 | no | — |
| 47 | #4727 | — | 2 | 2 | no | — |
| 48 | #4726 | — | 2 | 1 | no | — |
| 49 | D3×C22⋊C8 | — | 2 | 1 | no | — |
| 50 | #4558 | C22 | 1 | 2 | yes | complemented |
| 51 | #4554 | C22 | 1 | 2 | yes | complemented |
| 52 | C22×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 53 | C2×#471 | — | 3 | 2 | no | — |
| 54 | #3007 | — | 3 | 1 | no | — |
| 55 | C2×#450 | — | 3 | 1 | no | — |
| 56 | #2880 | — | 3 | 1 | no | — |
| 57 | #2051 | — | 3 | 2 | no | — |
| 58 | #2019 | — | 3 | 2 | no | — |
| 59 | #1907 | — | 3 | 2 | no | — |
| 60 | #1901 | — | 3 | 1 | no | — |
| 61 | #1855 | — | 3 | 1 | no | — |
| 62 | #1783 | D3 | 1 | 1 | yes | characteristic, complemented |
| 63 | C25×C3 | — | 2 | 1 | no | — |
| 64 | C22×C3×D4 | — | 2 | 4 | no | — |
| 65 | C22×C3×D4 | — | 2 | 1 | no | — |
| 66 | C22×C3×D4 | — | 2 | 1 | no | — |
| 67 | C22×C3×D4 | — | 2 | 1 | no | — |
| 68 | C22×C3×D4 | — | 2 | 1 | no | — |
| 69 | C22×C3×D4 | — | 2 | 1 | no | — |
| 70 | C22×C3×D4 | — | 4 | 2 | no | — |
| 71 | C22×C3×D4 | C23 | 1 | 2 | yes | — |
| 72 | C23×C3×C4 | C23 | 1 | 1 | yes | characteristic |
| 73 | C22×#67 | — | 2 | 1 | no | — |
| 74 | C2×#235 | — | 2 | 1 | no | — |
| 75 | C2×#235 | — | 2 | 1 | no | — |
| 76 | C2×#235 | — | 2 | 4 | no | — |
| 77 | C2×#235 | — | 4 | 2 | no | — |
| 78 | C2×#235 | D4 | 1 | 1 | yes | characteristic |
| 79 | C2×#235 | D4 | 1 | 1 | yes | characteristic |
| 80 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 82 | C22×D12 | D4 | 1 | 1 | yes | characteristic |
| 83 | C22×C4×D3 | — | 2 | 1 | no | — |
| 84 | C22×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 85 | C22×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×C3×M16 | C23 | 1 | 2 | yes | — |
| 88 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×#217 | — | 2 | 1 | no | — |
| 90 | C2×#214 | — | 2 | 8 | no | — |
| 91 | C2×#214 | — | 2 | 2 | no | — |
| 92 | C2×#214 | — | 2 | 2 | no | — |
| 93 | C2×#214 | — | 2 | 4 | no | — |
| 94 | C2×#214 | — | 2 | 2 | no | — |
| 95 | C2×#214 | — | 2 | 2 | no | — |
| 96 | C2×#214 | — | 4 | 2 | no | — |
| 97 | #932 | — | 2 | 8 | no | — |
| 98 | #932 | — | 2 | 8 | no | — |
| 99 | #932 | — | 2 | 4 | no | — |
| 100 | #932 | — | 2 | 4 | no | — |
| 101 | #932 | — | 2 | 4 | no | — |
| 102 | #932 | D4 | 1 | 8 | yes | — |
| 103 | C2×#213 | — | 2 | 8 | no | — |
| 104 | C2×#213 | — | 2 | 2 | no | — |
| 105 | C2×#213 | — | 2 | 2 | no | — |
| 106 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 107 | #924 | — | 2 | 1 | no | — |
| 108 | #924 | — | 2 | 1 | no | — |
| 109 | #924 | — | 2 | 1 | no | — |
| 110 | #924 | — | 2 | 1 | no | — |
| 111 | C2×Dic3⋊C4 | — | 2 | 1 | no | — |
| 112 | C2×#208 | — | 2 | 1 | no | — |
| 113 | C2×#208 | — | 2 | 4 | no | — |
| 114 | C2×#208 | C23 | 1 | 2 | yes | — |
| 115 | C22×C3⋊C8 | — | 2 | 1 | no | — |
| 116 | C22×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 117 | #909 | — | 2 | 4 | no | — |
| 118 | #909 | — | 4 | 2 | no | — |
| 119 | #907 | — | 2 | 4 | no | — |
| 120 | #907 | — | 4 | 2 | no | — |
| 121 | C2×Dic12 | — | 2 | 1 | no | — |
| 122 | C2×Dic12 | — | 2 | 1 | no | — |
| 123 | C2×#204 | — | 2 | 1 | no | — |
| 124 | C2×#204 | — | 2 | 1 | no | — |
| 125 | C2×ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 126 | C2×D3×C8 | — | 2 | 2 | no | — |
| 127 | C3×#100 | — | 2 | 4 | no | — |
| 128 | C3×#100 | — | 4 | 2 | no | — |
| 129 | C3×C22⋊C8 | — | 2 | 1 | no | — |
| 130 | C3×C22⋊C8 | — | 2 | 1 | no | — |
| 131 | C3×C22⋊C8 | — | 2 | 1 | no | — |
| 132 | C3×C22⋊C8 | — | 2 | 1 | no | — |
| 133 | #832 | — | 2 | 2 | no | — |
| 134 | #832 | — | 2 | 2 | no | — |
| 135 | #830 | D4 | 1 | 1 | yes | characteristic |
| 136 | #830 | D4 | 1 | 1 | yes | characteristic |
| 137 | #830 | D4 | 1 | 2 | yes | — |
| 138 | #824 | — | 2 | 4 | no | — |
| 139 | #822 | — | 2 | 4 | no | — |
| 140 | #821 | — | 2 | 1 | no | — |
| 141 | #821 | — | 2 | 1 | no | — |
| 142 | (C2×D3)⋊C8 | — | 2 | 2 | no | — |
| 143 | (C2×D3)⋊C8 | — | 2 | 2 | no | — |
| 144 | #816 | — | 2 | 1 | no | — |
| 145 | #816 | — | 2 | 1 | no | — |
| 146 | C22×#41 | — | 3 | 1 | no | — |
| 147 | C23×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 148 | C2×#137 | — | 3 | 1 | no | — |
| 149 | C2×#137 | — | 3 | 1 | no | — |
| 150 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 151 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 152 | C2×AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 153 | C2×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 154 | C2×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 155 | C22×SD16 | — | 3 | 2 | no | — |
| 156 | C22×SD16 | — | 6 | 1 | no | — |
| 157 | C22×D8 | — | 6 | 1 | no | — |
| 158 | C2×#131 | — | 3 | 2 | no | — |
| 159 | C22×M16 | — | 3 | 1 | no | — |
| 160 | C2×C22⋊Q8 | — | 3 | 1 | no | — |
| 161 | #471 | — | 6 | 8 | no | — |
| 162 | #452 | — | 6 | 1 | no | — |
| 163 | #452 | — | 6 | 1 | no | — |
| 164 | #451 | — | 6 | 1 | no | — |
| 165 | #450 | — | 6 | 1 | no | — |
| 166 | #450 | — | 6 | 1 | no | — |
| 167 | #450 | — | 6 | 1 | no | — |
| 168 | #450 | — | 6 | 2 | no | — |
| 169 | C2×#108 | — | 3 | 2 | no | — |
| 170 | #417 | — | 3 | 1 | no | — |
| 171 | #417 | — | 3 | 1 | no | — |
| 172 | C2×#102 | — | 3 | 2 | no | — |
| 173 | C2×#101 | — | 3 | 2 | no | — |
| 174 | C2×#100 | C2×D3 | 1 | 2 | yes | complemented |
| 175 | C2×#100 | C2×D3 | 1 | 2 | yes | complemented |
| 176 | #408 | — | 3 | 2 | no | — |
| 177 | #408 | — | 6 | 2 | no | — |
| 178 | #407 | — | 6 | 1 | no | — |
| 179 | #407 | C2×D3 | 1 | 1 | yes | characteristic |
| 180 | #407 | C2×D3 | 1 | 1 | yes | characteristic |
| 181 | C2×C22⋊C8 | — | 3 | 1 | no | — |
| 182 | C2×C22⋊C8 | — | 6 | 1 | no | — |
| 183 | #343 | — | 3 | 2 | no | — |
| 184 | #341 | — | 3 | 2 | no | — |
| 185 | C24×C3 | — | 2 | 2 | no | — |
| 186 | C24×C3 | — | 4 | 4 | no | — |
| 187 | C24×C3 | — | 4 | 1 | no | — |
| 188 | C24×C3 | — | 4 | 1 | no | — |
| 189 | C24×C3 | — | 8 | 2 | no | — |
| 190 | C24×C3 | — | 8 | 2 | no | — |
| 191 | C24×C3 | #41 | 1 | 1 | yes | characteristic |
| 192 | C23×D3 | — | 2 | 1 | no | — |
| 193 | C2×C3×D4 | — | 2 | 4 | no | — |
| 194 | C2×C3×D4 | — | 2 | 4 | no | — |
| 195 | C2×C3×D4 | — | 2 | 2 | no | — |
| 196 | C2×C3×D4 | — | 2 | 2 | no | — |
| 197 | C2×C3×D4 | — | 2 | 2 | no | — |
| 198 | C2×C3×D4 | — | 2 | 2 | no | — |
| 199 | C2×C3×D4 | — | 2 | 2 | no | — |
| 200 | C2×C3×D4 | — | 4 | 4 | no | — |
| 201 | C2×C3×D4 | — | 4 | 4 | no | — |
| 202 | C2×C3×D4 | — | 4 | 4 | no | — |
| 203 | C2×C3×D4 | — | 4 | 2 | no | — |
| 204 | C2×C3×D4 | — | 4 | 2 | no | — |
| 205 | C2×C3×D4 | — | 4 | 1 | no | — |
| 206 | C2×C3×D4 | — | 4 | 1 | no | — |
| 207 | C2×C3×D4 | C2×D4 | 1 | 4 | yes | — |
| 208 | C22×C3×C4 | — | 2 | 2 | no | — |
| 209 | C22×C3×C4 | — | 2 | 2 | no | — |
| 210 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 213 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 214 | C22×C3×C4 | #41 | 1 | 1 | yes | characteristic |
| 215 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 216 | C2×#67 | — | 2 | 1 | no | — |
| 217 | C2×#67 | — | 2 | 1 | no | — |
| 218 | C2×#67 | — | 2 | 1 | no | — |
| 219 | C2×#67 | — | 2 | 1 | no | — |
| 220 | C2×#67 | — | 4 | 4 | no | — |
| 221 | C22×Dic3 | — | 2 | 1 | no | — |
| 222 | C22×Dic3 | — | 2 | 1 | no | — |
| 223 | C22×Dic3 | — | 2 | 1 | no | — |
| 224 | #235 | — | 2 | 2 | no | — |
| 225 | #235 | — | 2 | 2 | no | — |
| 226 | #235 | — | 2 | 2 | no | — |
| 227 | #235 | — | 2 | 2 | no | — |
| 228 | #235 | — | 2 | 2 | no | — |
| 229 | #235 | — | 4 | 1 | no | — |
| 230 | #235 | — | 4 | 1 | no | — |
| 231 | #235 | — | 4 | 4 | no | — |
| 232 | #235 | — | 4 | 4 | no | — |
| 233 | #235 | C2×D4 | 1 | 4 | yes | — |
| 234 | C2×D12 | — | 2 | 2 | no | — |
| 235 | C2×D12 | — | 2 | 1 | no | — |
| 236 | C2×D12 | — | 4 | 1 | no | — |
| 237 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 238 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | C2×C4×D3 | — | 2 | 1 | no | — |
| 240 | C2×C4×D3 | — | 2 | 1 | no | — |
| 241 | C2×C4×D3 | — | 2 | 1 | no | — |
| 242 | C2×C4×D3 | — | 2 | 1 | no | — |
| 243 | C2×C4×D3 | — | 4 | 4 | no | — |
| 244 | C2×Dic6 | — | 2 | 2 | no | — |
| 245 | C2×Dic6 | — | 2 | 1 | no | — |
| 246 | C2×Dic6 | — | 2 | 2 | no | — |
| 247 | C2×Dic6 | — | 2 | 1 | no | — |
| 248 | C2×Dic6 | — | 2 | 1 | no | — |
| 249 | C2×Dic6 | — | 2 | 2 | no | — |
| 250 | C2×Dic6 | — | 4 | 1 | no | — |
| 251 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 252 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 253 | C3×M16 | — | 2 | 2 | no | — |
| 254 | C3×M16 | — | 2 | 2 | no | — |
| 255 | C3×M16 | — | 2 | 2 | no | — |
| 256 | C3×M16 | — | 2 | 2 | no | — |
| 257 | C2×C3×C8 | — | 2 | 1 | no | — |
| 258 | C2×C3×C8 | — | 2 | 1 | no | — |
| 259 | C2×C3×C8 | — | 2 | 2 | no | — |
| 260 | #217 | — | 4 | 1 | no | — |
| 261 | #217 | — | 4 | 1 | no | — |
| 262 | #214 | — | 2 | 8 | no | — |
| 263 | #214 | — | 2 | 8 | no | — |
| 264 | #214 | — | 4 | 4 | no | — |
| 265 | #214 | — | 4 | 4 | no | — |
| 266 | #213 | — | 2 | 8 | no | — |
| 267 | #213 | — | 2 | 8 | no | — |
| 268 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 269 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 270 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 271 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 272 | #208 | — | 2 | 4 | no | — |
| 273 | #208 | — | 2 | 2 | no | — |
| 274 | #208 | C2×D4 | 1 | 4 | yes | — |
| 275 | C2×C3⋊C8 | — | 2 | 4 | no | — |
| 276 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 277 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 278 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 279 | C2×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 280 | C2×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 281 | Dic12 | — | 4 | 2 | no | — |
| 282 | Dic12 | — | 4 | 2 | no | — |
| 283 | #204 | — | 4 | 2 | no | — |
| 284 | #204 | — | 4 | 2 | no | — |
| 285 | ΓL(1,𝔽25) | — | 4 | 4 | no | — |
| 286 | D3×C8 | — | 4 | 4 | no | — |
| 287 | C25 | — | 2 | 1 | no | — |
| 288 | C2×#41 | — | 3 | 1 | no | — |
| 289 | C2×#41 | — | 3 | 1 | no | — |
| 290 | C2×#41 | — | 3 | 1 | no | — |
| 291 | C2×#41 | — | 3 | 1 | no | — |
| 292 | C2×#41 | — | 6 | 4 | no | — |
| 293 | C2×#41 | — | 6 | 1 | no | — |
| 294 | C2×#41 | — | 6 | 1 | no | — |
| 295 | C2×#41 | — | 12 | 2 | no | — |
| 296 | C22×Q8 | — | 3 | 1 | no | — |
| 297 | C22×Q8 | — | 3 | 1 | no | — |
| 298 | C22×D4 | — | 2 | 4 | no | — |
| 299 | C22×D4 | — | 2 | 1 | no | — |
| 300 | C22×D4 | — | 2 | 1 | no | — |
| 301 | C22×D4 | — | 2 | 1 | no | — |
| 302 | C22×D4 | — | 2 | 1 | no | — |
| 303 | C22×D4 | — | 2 | 1 | no | — |
| 304 | C22×D4 | — | 3 | 1 | no | — |
| 305 | C22×D4 | — | 4 | 2 | no | — |
| 306 | C22×D4 | — | 6 | 1 | no | — |
| 307 | C22×D4 | C22×D3 | 1 | 2 | yes | — |
| 308 | C23×C4 | — | 6 | 1 | no | — |
| 309 | C23×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 310 | #137 | — | 6 | 4 | no | — |
| 311 | #137 | — | 12 | 2 | no | — |
| 312 | AGL(1,ℤ/8) | — | 3 | 8 | no | — |
| 313 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 314 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 315 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 316 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 317 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 318 | C2×Q16 | — | 6 | 1 | no | — |
| 319 | C2×Q16 | — | 6 | 1 | no | — |
| 320 | C2×SD16 | — | 6 | 1 | no | — |
| 321 | C2×SD16 | — | 6 | 1 | no | — |
| 322 | C2×SD16 | — | 6 | 2 | no | — |
| 323 | C2×SD16 | — | 6 | 2 | no | — |
| 324 | C2×SD16 | — | 6 | 2 | no | — |
| 325 | C2×SD16 | — | 6 | 2 | no | — |
| 326 | C2×SD16 | — | 6 | 8 | no | — |
| 327 | C2×SD16 | — | 6 | 4 | no | — |
| 328 | C2×SD16 | — | 12 | 2 | no | — |
| 329 | C2×D8 | — | 6 | 2 | no | — |
| 330 | C2×D8 | — | 6 | 2 | no | — |
| 331 | C2×D8 | — | 6 | 8 | no | — |
| 332 | #131 | — | 6 | 4 | no | — |
| 333 | #131 | — | 12 | 2 | no | — |
| 334 | C2×M16 | — | 3 | 2 | no | — |
| 335 | C2×M16 | — | 6 | 2 | no | — |
| 336 | C2×M16 | — | 6 | 4 | no | — |
| 337 | C2×M16 | — | 6 | 1 | no | — |
| 338 | C2×M16 | C22×D3 | 1 | 2 | yes | — |
| 339 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 340 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 341 | C22×C8 | — | 3 | 2 | no | — |
| 342 | C22×C8 | — | 6 | 2 | no | — |
| 343 | C22×C8 | — | 6 | 1 | no | — |
| 344 | C22⋊Q8 | — | 6 | 1 | no | — |
| 345 | C22⋊Q8 | — | 6 | 1 | no | — |
| 346 | C22⋊Q8 | — | 6 | 1 | no | — |
| 347 | C22⋊Q8 | — | 6 | 1 | no | — |
| 348 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 349 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 350 | C2×C22⋊C4 | — | 6 | 1 | no | — |
| 351 | #108 | — | 6 | 4 | no | — |
| 352 | #103 | — | 6 | 1 | no | — |
| 353 | #103 | — | 6 | 1 | no | — |
| 354 | #102 | — | 6 | 1 | no | — |
| 355 | #102 | — | 6 | 1 | no | — |
| 356 | #102 | — | 6 | 2 | no | — |
| 357 | #102 | — | 6 | 2 | no | — |
| 358 | #101 | — | 6 | 4 | no | — |
| 359 | #100 | — | 2 | 4 | no | — |
| 360 | #100 | — | 4 | 2 | no | — |
| 361 | C22⋊C8 | — | 2 | 1 | no | — |
| 362 | C22⋊C8 | — | 2 | 1 | no | — |
| 363 | C22⋊C8 | — | 2 | 1 | no | — |
| 364 | C22⋊C8 | — | 2 | 1 | no | — |
| 365 | C22⋊C8 | — | 3 | 1 | no | — |
| 366 | C22⋊C8 | — | 3 | 1 | no | — |
| 367 | C22⋊C8 | — | 3 | 2 | no | — |
| 368 | C22⋊C8 | — | 6 | 2 | no | — |
| 369 | C22⋊C8 | — | 6 | 2 | no | — |
| 370 | C23×C3 | — | 2 | 2 | no | — |
| 371 | C23×C3 | — | 2 | 2 | no | — |
| 372 | C23×C3 | — | 2 | 4 | no | — |
| 373 | C23×C3 | — | 4 | 1 | no | — |
| 374 | C23×C3 | — | 4 | 4 | no | — |
| 375 | C23×C3 | — | 4 | 4 | no | — |
| 376 | C23×C3 | — | 4 | 2 | no | — |
| 377 | C23×C3 | — | 4 | 2 | no | — |
| 378 | C23×C3 | — | 8 | 2 | no | — |
| 379 | C23×C3 | — | 8 | 2 | no | — |
| 380 | C23×C3 | — | 8 | 2 | no | — |
| 381 | C23×C3 | — | 8 | 2 | no | — |
| 382 | C23×C3 | — | 8 | 2 | no | — |
| 383 | C23×C3 | — | 8 | 16 | no | — |
| 384 | C23×C3 | — | 8 | 2 | no | — |
| 385 | C23×C3 | #121 | 1 | 1 | yes | characteristic |
| 386 | C23×C3 | #121 | 1 | 1 | yes | characteristic |
| 387 | C23×C3 | C2×#41 | 1 | 1 | yes | characteristic |
| 388 | C22×D3 | — | 2 | 1 | no | — |
| 389 | C22×D3 | — | 2 | 1 | no | — |
| 390 | C22×D3 | — | 4 | 2 | no | — |
| 391 | C22×D3 | — | 4 | 2 | no | — |
| 392 | C22×D3 | — | 8 | 1 | no | — |
| 393 | C3×D4 | — | 2 | 4 | no | — |
| 394 | C3×D4 | — | 2 | 4 | no | — |
| 395 | C3×D4 | — | 4 | 4 | no | — |
| 396 | C3×D4 | — | 4 | 4 | no | — |
| 397 | C3×D4 | — | 4 | 2 | no | — |
| 398 | C3×D4 | — | 4 | 2 | no | — |
| 399 | C2×C3×C4 | — | 2 | 2 | no | — |
| 400 | C2×C3×C4 | — | 2 | 1 | no | — |
| 401 | C2×C3×C4 | — | 2 | 1 | no | — |
| 402 | C2×C3×C4 | — | 2 | 1 | no | — |
| 403 | C2×C3×C4 | — | 2 | 1 | no | — |
| 404 | C2×C3×C4 | — | 2 | 2 | no | — |
| 405 | C2×C3×C4 | — | 2 | 2 | no | — |
| 406 | C2×C3×C4 | #121 | 1 | 1 | yes | characteristic |
| 407 | C2×C3×C4 | #121 | 1 | 1 | yes | characteristic |
| 408 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 409 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 410 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 411 | C2×C3×C4 | H(5,𝔽2) | 1 | 2 | yes | — |
| 412 | #67 | — | 2 | 4 | no | — |
| 413 | #67 | — | 4 | 2 | no | — |
| 414 | #67 | — | 4 | 2 | no | — |
| 415 | #67 | — | 4 | 2 | no | — |
| 416 | C2×Dic3 | — | 2 | 1 | no | — |
| 417 | C2×Dic3 | — | 2 | 1 | no | — |
| 418 | C2×Dic3 | — | 4 | 2 | no | — |
| 419 | C2×Dic3 | — | 4 | 1 | no | — |
| 420 | C2×Dic3 | — | 4 | 1 | no | — |
| 421 | C2×Dic3 | — | 4 | 2 | no | — |
| 422 | C2×Dic3 | — | 8 | 1 | no | — |
| 423 | D12 | — | 2 | 1 | no | — |
| 424 | D12 | — | 2 | 1 | no | — |
| 425 | D12 | — | 2 | 1 | no | — |
| 426 | D12 | — | 4 | 2 | no | — |
| 427 | D12 | #120 | 1 | 2 | yes | — |
| 428 | C4×D3 | — | 2 | 4 | no | — |
| 429 | C4×D3 | — | 4 | 2 | no | — |
| 430 | C4×D3 | — | 4 | 2 | no | — |
| 431 | C4×D3 | — | 4 | 2 | no | — |
| 432 | Dic6 | — | 2 | 1 | no | — |
| 433 | Dic6 | — | 2 | 1 | no | — |
| 434 | Dic6 | — | 2 | 1 | no | — |
| 435 | Dic6 | — | 4 | 2 | no | — |
| 436 | Dic6 | — | 4 | 1 | no | — |
| 437 | Dic6 | — | 4 | 1 | no | — |
| 438 | Dic6 | — | 4 | 2 | no | — |
| 439 | Dic6 | #120 | 1 | 2 | yes | — |
| 440 | C3×C8 | — | 4 | 1 | no | — |
| 441 | C3×C8 | — | 4 | 1 | no | — |
| 442 | C3×C8 | — | 4 | 2 | no | — |
| 443 | C3⋊C8 | — | 2 | 4 | no | — |
| 444 | C3⋊C8 | — | 2 | 2 | no | — |
| 445 | C3⋊C8 | — | 2 | 2 | no | — |
| 446 | C24 | — | 2 | 2 | no | — |
| 447 | C24 | — | 4 | 4 | no | — |
| 448 | C24 | — | 4 | 1 | no | — |
| 449 | C24 | — | 4 | 1 | no | — |
| 450 | C24 | — | 6 | 1 | no | — |
| 451 | C24 | — | 8 | 2 | no | — |
| 452 | C24 | — | 8 | 2 | no | — |
| 453 | C24 | #235 | 1 | 1 | yes | characteristic |
| 454 | #41 | — | 3 | 4 | no | — |
| 455 | #41 | — | 6 | 2 | no | — |
| 456 | #41 | — | 6 | 2 | no | — |
| 457 | #41 | — | 6 | 2 | no | — |
| 458 | #41 | — | 6 | 2 | no | — |
| 459 | #41 | — | 6 | 2 | no | — |
| 460 | #41 | — | 12 | 4 | no | — |
| 461 | #41 | — | 12 | 1 | no | — |
| 462 | #41 | — | 12 | 1 | no | — |
| 463 | #41 | — | 12 | 4 | no | — |
| 464 | C2×Q8 | — | 3 | 1 | no | — |
| 465 | C2×Q8 | — | 3 | 1 | no | — |
| 466 | C2×Q8 | — | 6 | 2 | no | — |
| 467 | C2×Q8 | — | 6 | 1 | no | — |
| 468 | C2×Q8 | — | 6 | 2 | no | — |
| 469 | C2×Q8 | — | 6 | 1 | no | — |
| 470 | C2×Q8 | — | 6 | 1 | no | — |
| 471 | C2×Q8 | — | 6 | 2 | no | — |
| 472 | C2×Q8 | — | 12 | 1 | no | — |
| 473 | C2×D4 | — | 2 | 4 | no | — |
| 474 | C2×D4 | — | 2 | 4 | no | — |
| 475 | C2×D4 | — | 2 | 2 | no | — |
| 476 | C2×D4 | — | 2 | 2 | no | — |
| 477 | C2×D4 | — | 2 | 2 | no | — |
| 478 | C2×D4 | — | 2 | 2 | no | — |
| 479 | C2×D4 | — | 2 | 2 | no | — |
| 480 | C2×D4 | — | 3 | 1 | no | — |
| 481 | C2×D4 | — | 3 | 1 | no | — |
| 482 | C2×D4 | — | 4 | 4 | no | — |
| 483 | C2×D4 | — | 4 | 4 | no | — |
| 484 | C2×D4 | — | 4 | 4 | no | — |
| 485 | C2×D4 | — | 4 | 2 | no | — |
| 486 | C2×D4 | — | 4 | 2 | no | — |
| 487 | C2×D4 | — | 4 | 1 | no | — |
| 488 | C2×D4 | — | 4 | 1 | no | — |
| 489 | C2×D4 | — | 6 | 2 | no | — |
| 490 | C2×D4 | — | 6 | 1 | no | — |
| 491 | C2×D4 | — | 6 | 1 | no | — |
| 492 | C2×D4 | — | 6 | 1 | no | — |
| 493 | C2×D4 | — | 6 | 1 | no | — |
| 494 | C2×D4 | — | 6 | 1 | no | — |
| 495 | C2×D4 | — | 12 | 1 | no | — |
| 496 | C2×D4 | — | 12 | 4 | no | — |
| 497 | C2×D4 | D3×D4 | 1 | 4 | yes | — |
| 498 | C22×C4 | — | 2 | 2 | no | — |
| 499 | C22×C4 | — | 2 | 2 | no | — |
| 500 | C22×C4 | — | 6 | 1 | no | — |
| 501 | C22×C4 | — | 6 | 1 | no | — |
| 502 | C22×C4 | — | 6 | 1 | no | — |
| 503 | C22×C4 | — | 6 | 1 | no | — |
| 504 | C22×C4 | — | 6 | 1 | no | — |
| 505 | C22×C4 | — | 6 | 1 | no | — |
| 506 | C22×C4 | — | 6 | 1 | no | — |
| 507 | C22×C4 | — | 12 | 4 | no | — |
| 508 | C22×C4 | #235 | 1 | 1 | yes | characteristic |
| 509 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 510 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 511 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 512 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 513 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 514 | Q16 | — | 12 | 2 | no | — |
| 515 | Q16 | — | 12 | 2 | no | — |
| 516 | SD16 | — | 6 | 8 | no | — |
| 517 | SD16 | — | 6 | 8 | no | — |
| 518 | SD16 | — | 12 | 2 | no | — |
| 519 | SD16 | — | 12 | 2 | no | — |
| 520 | SD16 | — | 12 | 4 | no | — |
| 521 | SD16 | — | 12 | 4 | no | — |
| 522 | D8 | — | 6 | 8 | no | — |
| 523 | D8 | — | 6 | 8 | no | — |
| 524 | M16 | — | 2 | 2 | no | — |
| 525 | M16 | — | 2 | 2 | no | — |
| 526 | M16 | — | 2 | 2 | no | — |
| 527 | M16 | — | 2 | 2 | no | — |
| 528 | M16 | — | 3 | 4 | no | — |
| 529 | M16 | — | 6 | 4 | no | — |
| 530 | M16 | — | 6 | 2 | no | — |
| 531 | M16 | — | 12 | 4 | no | — |
| 532 | C2×C8 | — | 2 | 2 | no | — |
| 533 | C2×C8 | — | 2 | 1 | no | — |
| 534 | C2×C8 | — | 2 | 1 | no | — |
| 535 | C2×C8 | — | 3 | 2 | no | — |
| 536 | C2×C8 | — | 3 | 2 | no | — |
| 537 | C2×C8 | — | 6 | 4 | no | — |
| 538 | C2×C8 | — | 6 | 2 | no | — |
| 539 | C2×C8 | — | 6 | 2 | no | — |
| 540 | C2×C8 | — | 6 | 2 | no | — |
| 541 | C2×C8 | — | 12 | 4 | no | — |
| 542 | C4⋊C4 | — | 6 | 1 | no | — |
| 543 | C4⋊C4 | — | 6 | 1 | no | — |
| 544 | C4⋊C4 | — | 12 | 1 | no | — |
| 545 | C4⋊C4 | — | 12 | 1 | no | — |
| 546 | C22⋊C4 | — | 12 | 1 | no | — |
| 547 | C22⋊C4 | — | 12 | 1 | no | — |
| 548 | C22×C3 | — | 2 | 1 | no | — |
| 549 | C22×C3 | — | 2 | 1 | no | — |
| 550 | C22×C3 | — | 2 | 1 | no | — |
| 551 | C22×C3 | — | 2 | 1 | no | — |
| 552 | C22×C3 | — | 2 | 1 | no | — |
| 553 | C22×C3 | — | 2 | 1 | no | — |
| 554 | C22×C3 | — | 2 | 1 | no | — |
| 555 | C22×C3 | — | 4 | 4 | no | — |
| 556 | C22×C3 | — | 4 | 4 | no | — |
| 557 | C22×C3 | — | 8 | 4 | no | — |
| 558 | C22×C3 | — | 8 | 8 | no | — |
| 559 | C22×C3 | — | 8 | 4 | no | — |
| 560 | C22×C3 | — | 8 | 8 | no | — |
| 561 | C22×C3 | — | 8 | 2 | no | — |
| 562 | C22×C3 | — | 8 | 2 | no | — |
| 563 | C22×C3 | #471 | 1 | 2 | yes | complemented |
| 564 | C22×C3 | C2×#121 | 1 | 1 | yes | characteristic |
| 565 | C22×C3 | #546 | 1 | 2 | yes | — |
| 566 | C2×D3 | — | 2 | 2 | no | — |
| 567 | C2×D3 | — | 4 | 1 | no | — |
| 568 | C2×D3 | — | 4 | 1 | no | — |
| 569 | C2×D3 | — | 4 | 1 | no | — |
| 570 | C2×D3 | — | 4 | 1 | no | — |
| 571 | C2×D3 | — | 4 | 1 | no | — |
| 572 | C2×D3 | — | 8 | 4 | no | — |
| 573 | C3×C4 | — | 2 | 1 | no | — |
| 574 | C3×C4 | — | 2 | 1 | no | — |
| 575 | C3×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 576 | C3×C4 | #534 | 1 | 1 | yes | characteristic |
| 577 | C3×C4 | D42 | 1 | 2 | yes | — |
| 578 | Dic3 | — | 2 | 2 | no | — |
| 579 | Dic3 | — | 4 | 1 | no | — |
| 580 | Dic3 | — | 8 | 1 | no | — |
| 581 | Dic3 | — | 8 | 1 | no | — |
| 582 | C23 | — | 2 | 2 | no | — |
| 583 | C23 | — | 2 | 2 | no | — |
| 584 | C23 | — | 2 | 4 | no | — |
| 585 | C23 | — | 4 | 1 | no | — |
| 586 | C23 | — | 4 | 4 | no | — |
| 587 | C23 | — | 4 | 4 | no | — |
| 588 | C23 | — | 4 | 2 | no | — |
| 589 | C23 | — | 4 | 2 | no | — |
| 590 | C23 | — | 6 | 1 | no | — |
| 591 | C23 | — | 6 | 1 | no | — |
| 592 | C23 | — | 8 | 2 | no | — |
| 593 | C23 | — | 8 | 2 | no | — |
| 594 | C23 | — | 8 | 2 | no | — |
| 595 | C23 | — | 8 | 2 | no | — |
| 596 | C23 | — | 8 | 2 | no | — |
| 597 | C23 | — | 8 | 16 | no | — |
| 598 | C23 | — | 8 | 2 | no | — |
| 599 | C23 | — | 12 | 2 | no | — |
| 600 | C23 | — | 12 | 2 | no | — |
| 601 | C23 | — | 24 | 1 | no | — |
| 602 | C23 | #884 | 1 | 1 | yes | characteristic |
| 603 | C23 | #884 | 1 | 1 | yes | characteristic |
| 604 | C23 | C2×#235 | 1 | 1 | yes | characteristic |
| 605 | Q8 | — | 3 | 2 | no | — |
| 606 | Q8 | — | 6 | 1 | no | — |
| 607 | Q8 | — | 6 | 1 | no | — |
| 608 | Q8 | — | 6 | 1 | no | — |
| 609 | Q8 | — | 12 | 2 | no | — |
| 610 | Q8 | — | 12 | 1 | no | — |
| 611 | Q8 | — | 12 | 1 | no | — |
| 612 | Q8 | — | 12 | 2 | no | — |
| 613 | D4 | — | 2 | 4 | no | — |
| 614 | D4 | — | 2 | 4 | no | — |
| 615 | D4 | — | 3 | 2 | no | — |
| 616 | D4 | — | 4 | 4 | no | — |
| 617 | D4 | — | 4 | 4 | no | — |
| 618 | D4 | — | 4 | 2 | no | — |
| 619 | D4 | — | 4 | 2 | no | — |
| 620 | D4 | — | 6 | 4 | no | — |
| 621 | D4 | — | 6 | 1 | no | — |
| 622 | D4 | — | 6 | 1 | no | — |
| 623 | D4 | — | 6 | 1 | no | — |
| 624 | D4 | — | 12 | 2 | no | — |
| 625 | D4 | — | 12 | 2 | no | — |
| 626 | D4 | — | 12 | 2 | no | — |
| 627 | D4 | — | 12 | 2 | no | — |
| 628 | C2×C4 | — | 2 | 2 | no | — |
| 629 | C2×C4 | — | 2 | 1 | no | — |
| 630 | C2×C4 | — | 2 | 1 | no | — |
| 631 | C2×C4 | — | 2 | 1 | no | — |
| 632 | C2×C4 | — | 2 | 1 | no | — |
| 633 | C2×C4 | — | 2 | 2 | no | — |
| 634 | C2×C4 | — | 2 | 2 | no | — |
| 635 | C2×C4 | — | 6 | 1 | no | — |
| 636 | C2×C4 | — | 6 | 4 | no | — |
| 637 | C2×C4 | — | 6 | 1 | no | — |
| 638 | C2×C4 | — | 12 | 2 | no | — |
| 639 | C2×C4 | — | 12 | 2 | no | — |
| 640 | C2×C4 | — | 12 | 2 | no | — |
| 641 | C2×C4 | — | 12 | 2 | no | — |
| 642 | C2×C4 | — | 12 | 1 | no | — |
| 643 | C2×C4 | — | 12 | 1 | no | — |
| 644 | C2×C4 | — | 12 | 2 | no | — |
| 645 | C2×C4 | — | 24 | 1 | no | — |
| 646 | C2×C4 | #884 | 1 | 1 | yes | characteristic |
| 647 | C2×C4 | #884 | 1 | 1 | yes | characteristic |
| 648 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 649 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 650 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 651 | C2×C4 | #1004 | 1 | 2 | yes | — |
| 652 | C8 | — | 4 | 1 | no | — |
| 653 | C8 | — | 4 | 1 | no | — |
| 654 | C8 | — | 4 | 2 | no | — |
| 655 | C8 | — | 6 | 4 | no | — |
| 656 | C8 | — | 6 | 2 | no | — |
| 657 | C8 | — | 6 | 2 | no | — |
| 658 | C2×C3 | — | 2 | 2 | no | — |
| 659 | C2×C3 | — | 2 | 2 | no | — |
| 660 | C2×C3 | — | 4 | 1 | no | — |
| 661 | C2×C3 | — | 8 | 4 | no | — |
| 662 | C2×C3 | #2410 | 1 | 1 | yes | characteristic |
| 663 | C2×C3 | C2×#471 | 1 | 1 | yes | characteristic |
| 664 | C2×C3 | #3068 | 1 | 1 | yes | characteristic |
| 665 | D3 | — | 4 | 2 | no | — |
| 666 | D3 | — | 8 | 1 | no | — |
| 667 | C22 | — | 2 | 1 | no | — |
| 668 | C22 | — | 2 | 1 | no | — |
| 669 | C22 | — | 2 | 1 | no | — |
| 670 | C22 | — | 2 | 1 | no | — |
| 671 | C22 | — | 2 | 1 | no | — |
| 672 | C22 | — | 2 | 1 | no | — |
| 673 | C22 | — | 2 | 1 | no | — |
| 674 | C22 | — | 4 | 4 | no | — |
| 675 | C22 | — | 4 | 4 | no | — |
| 676 | C22 | — | 6 | 2 | no | — |
| 677 | C22 | — | 8 | 4 | no | — |
| 678 | C22 | — | 8 | 8 | no | — |
| 679 | C22 | — | 8 | 4 | no | — |
| 680 | C22 | — | 8 | 8 | no | — |
| 681 | C22 | — | 8 | 2 | no | — |
| 682 | C22 | — | 8 | 2 | no | — |
| 683 | C22 | — | 12 | 1 | no | — |
| 684 | C22 | — | 12 | 1 | no | — |
| 685 | C22 | — | 12 | 1 | no | — |
| 686 | C22 | — | 12 | 1 | no | — |
| 687 | C22 | — | 12 | 1 | no | — |
| 688 | C22 | — | 24 | 4 | no | — |
| 689 | C22 | #4748 | 1 | 2 | yes | complemented |
| 690 | C22 | C2×#884 | 1 | 1 | yes | characteristic |
| 691 | C22 | #5490 | 1 | 2 | yes | — |
| 692 | C4 | — | 2 | 1 | no | — |
| 693 | C4 | — | 2 | 1 | no | — |
| 694 | C4 | — | 6 | 2 | no | — |
| 695 | C4 | — | 12 | 1 | no | — |
| 696 | C4 | — | 24 | 1 | no | — |
| 697 | C4 | — | 24 | 1 | no | — |
| 698 | C4 | D3×#120 | 1 | 1 | yes | characteristic |
| 699 | C4 | #5589 | 1 | 1 | yes | characteristic |
| 700 | C4 | #5590 | 1 | 2 | yes | — |
| 701 | C3 | #24399 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 702 | C2 | — | 2 | 2 | no | — |
| 703 | C2 | — | 2 | 2 | no | — |
| 704 | C2 | — | 4 | 1 | no | — |
| 705 | C2 | — | 8 | 4 | no | — |
| 706 | C2 | — | 12 | 2 | no | — |
| 707 | C2 | — | 24 | 1 | no | — |
| 708 | C2 | #73854 | 1 | 1 | yes | characteristic |
| 709 | C2 | C2×#4748 | 1 | 1 | yes | characteristic |
| 710 | C2 | #78703 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#5218 | C2 | semidirect |
| 3. C2×#4748 | C2 | semidirect |
| 4. #78640 | C2 | semidirect |
| 5. #78631 | C2 | semidirect |
| 6. C3×#1783 | C2 | semidirect |
| 7. #70092 | C2 | semidirect |
| 8. #70091 | C2 | semidirect |
| 9. #70088 | C2 | semidirect |
| 10. #69986 | C2 | semidirect |
| 11. #69984 | C2 | semidirect |
| 16. C22×#214 | C22 | semidirect |
| 25. C2×#909 | C22 | semidirect |
| 26. C2×#909 | C22 | semidirect |
| 27. C2×#907 | C22 | semidirect |
| 28. C2×C3×#100 | C22 | semidirect |
| 29. C2×C3×#100 | C22 | semidirect |
| 35. C2×#832 | C22 | semidirect |
| 37. C2×#824 | C22 | semidirect |
| 38. #5133 | C22 | semidirect |
| 39. #5133 | C22 | semidirect |
| 40. #5129 | C22 | semidirect |
| 41. C2×#822 | C22 | semidirect |
| 50. #4558 | C22 | semidirect |
| 51. #4554 | C22 | semidirect |
| 62. #1783 | D3 | semidirect |
| 174. C2×#100 | C2×D3 | semidirect |
| 175. C2×#100 | C2×D3 | semidirect |
| 563. C22×C3 | #471 | semidirect |
| 689. C22 | #4748 | semidirect |
| 701. C3 | #24399 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#932 | 2 |
| C2×#5218 | 2 |
| C2×#4748 | 2 |
| #78640 | 2 |
| #78631 | 2 |
| C3×#1783 | 2 |
| #70092 | 2 |
| #70091 | 2 |
| #70088 | 2 |
| #69986 | 2 |
| #69984 | 2 |
| #24399 | 3 |