Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
2766 conjugacy classes of subgroups.
The subgroup lattice has 694 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#5835 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C2×#5774 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C2×C3×#453 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#5199 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | C2×#5077 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×#5073 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #80282 | C2 | 1 | 16 | yes | maximal, direct product factor |
| 8 | C2×#4822 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | C2×#4824 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C2×#4749 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C2×#3292 | — | 3 | 1 | no | maximal, Sylow |
| 12 | C2×C3×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | C2×#1009 | C22 | 1 | 2 | yes | complemented |
| 14 | C2×#1004 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | C2×C3×AGL(1,ℤ/8) | C22 | 1 | 2 | yes | complemented |
| 16 | C2×C3×#127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #5835 | — | 2 | 8 | no | — |
| 18 | #5835 | C22 | 1 | 16 | yes | complemented |
| 19 | C2×#950 | — | 2 | 2 | no | — |
| 20 | C2×#950 | C22 | 1 | 2 | yes | — |
| 21 | C2×#949 | — | 2 | 2 | no | — |
| 22 | C2×#949 | C22 | 1 | 2 | yes | complemented |
| 23 | C2×#948 | C22 | 1 | 2 | yes | complemented |
| 24 | C2×#932 | — | 2 | 2 | no | — |
| 25 | C2×#932 | C22 | 1 | 2 | yes | complemented |
| 26 | C22×#213 | — | 2 | 2 | no | — |
| 27 | C22×#213 | C22 | 1 | 2 | yes | complemented |
| 28 | C22×#213 | C22 | 1 | 2 | yes | complemented |
| 29 | #5774 | — | 2 | 8 | no | — |
| 30 | #5774 | C22 | 1 | 16 | yes | complemented |
| 31 | C2×#916 | — | 2 | 2 | no | — |
| 32 | C2×#914 | — | 2 | 2 | no | — |
| 33 | C2×#911 | — | 2 | 2 | no | — |
| 34 | C2×D3×D8 | — | 2 | 2 | no | — |
| 35 | C2×#908 | C22 | 1 | 2 | yes | complemented |
| 36 | C2×#907 | C22 | 1 | 2 | yes | complemented |
| 37 | C2×#874 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C3×#453 | C22 | 1 | 8 | yes | complemented |
| 39 | C2×C3×#104 | C22 | 1 | 2 | yes | complemented |
| 40 | C2×C3×#100 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C2×#833 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #5199 | C22 | 1 | 16 | yes | complemented |
| 43 | C2×#823 | C22 | 1 | 2 | yes | complemented |
| 44 | C2×#822 | C22 | 1 | 2 | yes | complemented |
| 45 | #5077 | C22 | 1 | 8 | yes | complemented |
| 46 | #5073 | C22 | 1 | 8 | yes | complemented |
| 47 | C2×#805 | C22 | 1 | 2 | yes | complemented |
| 48 | C2×C4×C3⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #4824 | C22 | 1 | 16 | yes | complemented |
| 50 | #4822 | C22 | 1 | 16 | yes | complemented |
| 51 | #4749 | C22 | 1 | 16 | yes | complemented |
| 52 | C2×#576 | — | 3 | 2 | no | — |
| 53 | C2×#576 | — | 3 | 2 | no | — |
| 54 | #3292 | — | 3 | 16 | no | — |
| 55 | C2×#493 | — | 3 | 1 | no | — |
| 56 | C2×#472 | — | 3 | 2 | no | — |
| 57 | C2×#472 | — | 3 | 2 | no | — |
| 58 | C2×#453 | — | 3 | 2 | no | — |
| 59 | C2×#453 | — | 3 | 1 | no | — |
| 60 | C2×#453 | D3 | 1 | 1 | yes | characteristic, complemented |
| 61 | C2×#443 | — | 3 | 2 | no | — |
| 62 | C3×H(5,𝔽2) | — | 2 | 4 | no | — |
| 63 | C3×H(5,𝔽2) | — | 4 | 1 | no | — |
| 64 | C3×H(5,𝔽2) | C23 | 1 | 4 | yes | complemented |
| 65 | C2×C3×#41 | — | 2 | 2 | no | — |
| 66 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 67 | C22×C3×D4 | — | 2 | 2 | no | — |
| 68 | C22×C3×D4 | — | 4 | 1 | no | — |
| 69 | C22×C3×D4 | — | 4 | 1 | no | — |
| 70 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 71 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 72 | C22×#67 | — | 4 | 1 | no | — |
| 73 | #1009 | — | 2 | 4 | no | — |
| 74 | #1009 | — | 2 | 4 | no | — |
| 75 | #1009 | — | 4 | 2 | no | — |
| 76 | #1009 | C23 | 1 | 8 | yes | complemented |
| 77 | C2×#239 | — | 2 | 2 | no | — |
| 78 | #1004 | — | 2 | 4 | no | — |
| 79 | #1004 | — | 4 | 1 | no | — |
| 80 | #1004 | C23 | 1 | 4 | yes | complemented |
| 81 | C2×#237 | — | 2 | 2 | no | — |
| 82 | C2×D3×D4 | — | 2 | 2 | no | — |
| 83 | C2×D3×D4 | — | 2 | 2 | no | — |
| 84 | C2×D3×D4 | — | 4 | 2 | no | — |
| 85 | C2×#235 | — | 2 | 2 | no | — |
| 86 | C2×#235 | C23 | 1 | 2 | yes | — |
| 87 | C22×D12 | — | 2 | 2 | no | — |
| 88 | C22×D12 | — | 4 | 1 | no | — |
| 89 | C22×D12 | C23 | 1 | 2 | yes | — |
| 90 | C3×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 91 | C3×AGL(1,ℤ/8) | C23 | 1 | 8 | yes | complemented |
| 92 | C2×C3×SD16 | — | 2 | 2 | no | — |
| 93 | C2×C3×D8 | — | 2 | 2 | no | — |
| 94 | C2×C3×M16 | C23 | 1 | 2 | yes | — |
| 95 | C3×#127 | — | 4 | 1 | no | — |
| 96 | C3×#127 | C23 | 1 | 4 | yes | complemented |
| 97 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 98 | #950 | — | 2 | 16 | no | — |
| 99 | #950 | D4 | 1 | 8 | yes | complemented |
| 100 | #950 | C23 | 1 | 8 | yes | — |
| 101 | #949 | — | 2 | 4 | no | — |
| 102 | #949 | — | 2 | 16 | no | — |
| 103 | #949 | C23 | 1 | 8 | yes | complemented |
| 104 | #948 | — | 2 | 4 | no | — |
| 105 | #948 | C23 | 1 | 8 | yes | complemented |
| 106 | C2×#216 | D4 | 1 | 2 | yes | complemented |
| 107 | C2×#215 | — | 2 | 2 | no | — |
| 108 | C2×#215 | D4 | 1 | 2 | yes | complemented |
| 109 | C2×#214 | — | 2 | 2 | no | — |
| 110 | C2×#214 | D4 | 1 | 2 | yes | complemented |
| 111 | #932 | — | 2 | 4 | no | — |
| 112 | #932 | — | 2 | 16 | no | — |
| 113 | #932 | C23 | 1 | 8 | yes | complemented |
| 114 | C2×#213 | — | 2 | 2 | no | — |
| 115 | C2×#213 | — | 2 | 2 | no | — |
| 116 | C2×#213 | — | 2 | 16 | no | — |
| 117 | C2×#213 | — | 2 | 2 | no | — |
| 118 | C2×#213 | — | 2 | 2 | no | — |
| 119 | C2×#213 | — | 2 | 4 | no | — |
| 120 | C2×#213 | — | 2 | 2 | no | — |
| 121 | C2×#213 | — | 2 | 2 | no | — |
| 122 | C2×#213 | — | 2 | 4 | no | — |
| 123 | C2×#213 | D4 | 1 | 2 | yes | complemented |
| 124 | C2×#213 | C23 | 1 | 8 | yes | complemented |
| 125 | C2×#213 | C23 | 1 | 8 | yes | complemented |
| 126 | C2×#208 | — | 2 | 2 | no | — |
| 127 | C2×#208 | C23 | 1 | 2 | yes | — |
| 128 | C22×C3⋊C8 | — | 2 | 2 | no | — |
| 129 | C22×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 130 | #916 | — | 2 | 16 | no | — |
| 131 | #914 | — | 2 | 16 | no | — |
| 132 | #911 | — | 2 | 16 | no | — |
| 133 | D3×D8 | — | 2 | 16 | no | — |
| 134 | #908 | — | 2 | 4 | no | — |
| 135 | #908 | C23 | 1 | 8 | yes | complemented |
| 136 | #907 | — | 2 | 4 | no | — |
| 137 | #907 | C23 | 1 | 8 | yes | complemented |
| 138 | C2×D24 | — | 2 | 2 | no | — |
| 139 | C2×#204 | — | 2 | 2 | no | — |
| 140 | C2×ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 141 | C2×D3×C8 | — | 2 | 2 | no | — |
| 142 | #874 | — | 4 | 1 | no | — |
| 143 | #874 | C23 | 1 | 4 | yes | complemented |
| 144 | C3×#104 | C23 | 1 | 8 | yes | complemented |
| 145 | C3×#100 | C23 | 1 | 4 | yes | complemented |
| 146 | #833 | C23 | 1 | 4 | yes | complemented |
| 147 | #823 | C23 | 1 | 8 | yes | complemented |
| 148 | #822 | C23 | 1 | 8 | yes | complemented |
| 149 | #805 | C23 | 1 | 8 | yes | complemented |
| 150 | C4×C3⋊C8 | C23 | 1 | 4 | yes | complemented |
| 151 | C2×H(5,𝔽2) | — | 3 | 2 | no | — |
| 152 | C2×H(5,𝔽2) | — | 3 | 1 | no | — |
| 153 | C2×H(5,𝔽2) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 154 | #576 | — | 3 | 16 | no | — |
| 155 | #576 | — | 3 | 16 | no | — |
| 156 | #576 | — | 6 | 8 | no | — |
| 157 | #576 | — | 6 | 8 | no | — |
| 158 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 159 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 160 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 161 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 162 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 163 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 164 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 165 | C2×AGL(1,ℤ/8) | C2×D3 | 1 | 2 | yes | complemented |
| 166 | C2×#135 | — | 3 | 2 | no | — |
| 167 | C2×#135 | — | 6 | 2 | no | — |
| 168 | C2×#135 | — | 6 | 2 | no | — |
| 169 | C22×D8 | — | 3 | 2 | no | — |
| 170 | C22×D8 | — | 3 | 2 | no | — |
| 171 | C22×D8 | — | 6 | 2 | no | — |
| 172 | C22×D8 | — | 6 | 2 | no | — |
| 173 | C2×#131 | — | 3 | 2 | no | — |
| 174 | C2×#131 | — | 3 | 2 | no | — |
| 175 | C2×#127 | — | 3 | 1 | no | — |
| 176 | C2×#127 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 177 | #493 | — | 3 | 8 | no | — |
| 178 | #472 | — | 3 | 16 | no | — |
| 179 | #472 | — | 3 | 16 | no | — |
| 180 | #453 | — | 3 | 8 | no | — |
| 181 | #453 | — | 3 | 16 | no | — |
| 182 | #453 | C2×D3 | 1 | 8 | yes | complemented |
| 183 | #443 | — | 3 | 16 | no | — |
| 184 | C2×#108 | — | 3 | 2 | no | — |
| 185 | C2×#104 | — | 3 | 2 | no | — |
| 186 | C2×#104 | C2×D3 | 1 | 2 | yes | complemented |
| 187 | C2×#100 | — | 3 | 1 | no | — |
| 188 | C2×#100 | — | 3 | 2 | no | — |
| 189 | C2×#100 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 190 | C2×C4×C8 | — | 3 | 1 | no | — |
| 191 | C24×C3 | — | 2 | 1 | no | — |
| 192 | C24×C3 | — | 2 | 1 | no | — |
| 193 | C24×C3 | — | 4 | 1 | no | — |
| 194 | C23×D3 | — | 2 | 2 | no | — |
| 195 | C23×D3 | — | 4 | 1 | no | — |
| 196 | C23×D3 | — | 4 | 2 | no | — |
| 197 | C3×#41 | — | 2 | 2 | no | — |
| 198 | C3×#41 | — | 2 | 2 | no | — |
| 199 | C3×#41 | — | 2 | 8 | no | — |
| 200 | C3×#41 | — | 4 | 4 | no | — |
| 201 | C3×#41 | C2×D4 | 1 | 4 | yes | — |
| 202 | C3×#41 | C24 | 1 | 4 | yes | — |
| 203 | C2×C3×Q8 | C2×D4 | 1 | 2 | yes | — |
| 204 | C2×C3×D4 | — | 2 | 2 | no | — |
| 205 | C2×C3×D4 | — | 2 | 8 | no | — |
| 206 | C2×C3×D4 | — | 2 | 2 | no | — |
| 207 | C2×C3×D4 | — | 2 | 2 | no | — |
| 208 | C2×C3×D4 | — | 2 | 2 | no | — |
| 209 | C2×C3×D4 | — | 2 | 2 | no | — |
| 210 | C2×C3×D4 | — | 2 | 1 | no | — |
| 211 | C2×C3×D4 | — | 2 | 1 | no | — |
| 212 | C2×C3×D4 | — | 4 | 4 | no | — |
| 213 | C2×C3×D4 | — | 4 | 2 | no | — |
| 214 | C2×C3×D4 | — | 4 | 4 | no | — |
| 215 | C2×C3×D4 | — | 4 | 4 | no | — |
| 216 | C2×C3×D4 | — | 4 | 4 | no | — |
| 217 | C2×C3×D4 | — | 8 | 4 | no | — |
| 218 | C2×C3×D4 | C2×D4 | 1 | 2 | yes | — |
| 219 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 220 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 221 | C22×C3×C4 | — | 2 | 1 | no | — |
| 222 | C22×C3×C4 | — | 2 | 2 | no | — |
| 223 | C22×C3×C4 | — | 4 | 1 | no | — |
| 224 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 225 | C2×#67 | — | 2 | 2 | no | — |
| 226 | C2×#67 | — | 4 | 2 | no | — |
| 227 | C2×#67 | — | 4 | 2 | no | — |
| 228 | C2×#67 | — | 4 | 4 | no | — |
| 229 | C2×#67 | — | 4 | 4 | no | — |
| 230 | C22×Dic3 | — | 4 | 1 | no | — |
| 231 | #239 | — | 2 | 8 | no | — |
| 232 | #239 | — | 4 | 4 | no | — |
| 233 | #237 | — | 2 | 8 | no | — |
| 234 | #237 | — | 4 | 4 | no | — |
| 235 | D3×D4 | — | 2 | 8 | no | — |
| 236 | D3×D4 | — | 2 | 8 | no | — |
| 237 | D3×D4 | — | 4 | 4 | no | — |
| 238 | D3×D4 | — | 4 | 4 | no | — |
| 239 | D3×D4 | — | 4 | 8 | no | — |
| 240 | D3×D4 | — | 4 | 8 | no | — |
| 241 | #235 | — | 2 | 2 | no | — |
| 242 | #235 | — | 2 | 2 | no | — |
| 243 | #235 | — | 2 | 8 | no | — |
| 244 | #235 | — | 4 | 4 | no | — |
| 245 | #235 | C2×D4 | 1 | 4 | yes | — |
| 246 | #235 | C24 | 1 | 4 | yes | — |
| 247 | C2×D12 | — | 2 | 2 | no | — |
| 248 | C2×D12 | — | 2 | 2 | no | — |
| 249 | C2×D12 | — | 2 | 2 | no | — |
| 250 | C2×D12 | — | 2 | 2 | no | — |
| 251 | C2×D12 | — | 2 | 8 | no | — |
| 252 | C2×D12 | — | 2 | 2 | no | — |
| 253 | C2×D12 | — | 4 | 4 | no | — |
| 254 | C2×D12 | — | 4 | 2 | no | — |
| 255 | C2×D12 | — | 4 | 4 | no | — |
| 256 | C2×D12 | — | 8 | 4 | no | — |
| 257 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 258 | C2×D12 | C24 | 1 | 4 | yes | — |
| 259 | C2×C4×D3 | — | 2 | 2 | no | — |
| 260 | C2×C4×D3 | — | 4 | 2 | no | — |
| 261 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 262 | C3×SD16 | — | 2 | 8 | no | — |
| 263 | C3×D8 | — | 2 | 8 | no | — |
| 264 | C3×M16 | — | 2 | 2 | no | — |
| 265 | C3×M16 | C24 | 1 | 4 | yes | — |
| 266 | C2×C3×C8 | — | 2 | 2 | no | — |
| 267 | C3×C42 | — | 2 | 1 | no | — |
| 268 | C3×C42 | C24 | 1 | 2 | yes | — |
| 269 | #216 | C2×D4 | 1 | 8 | yes | complemented |
| 270 | #215 | — | 2 | 8 | no | — |
| 271 | #215 | C2×D4 | 1 | 8 | yes | complemented |
| 272 | #214 | — | 2 | 8 | no | — |
| 273 | #214 | C2×D4 | 1 | 8 | yes | complemented |
| 274 | #213 | — | 2 | 8 | no | — |
| 275 | #213 | — | 2 | 8 | no | — |
| 276 | #213 | — | 2 | 8 | no | — |
| 277 | #213 | — | 2 | 8 | no | — |
| 278 | #213 | — | 2 | 8 | no | — |
| 279 | #213 | — | 2 | 8 | no | — |
| 280 | #213 | C2×D4 | 1 | 8 | yes | complemented |
| 281 | #208 | — | 2 | 2 | no | — |
| 282 | #208 | — | 2 | 8 | no | — |
| 283 | #208 | C24 | 1 | 4 | yes | — |
| 284 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 285 | C2×C3⋊C8 | — | 2 | 8 | no | — |
| 286 | C2×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 287 | C2×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 288 | C2×C3⋊C8 | C2×D4 | 1 | 4 | yes | — |
| 289 | C2×C3⋊C8 | C24 | 1 | 4 | yes | — |
| 290 | D24 | — | 2 | 8 | no | — |
| 291 | #204 | — | 2 | 8 | no | — |
| 292 | ΓL(1,𝔽25) | — | 2 | 8 | no | — |
| 293 | D3×C8 | — | 2 | 8 | no | — |
| 294 | H(5,𝔽2) | — | 2 | 4 | no | — |
| 295 | H(5,𝔽2) | — | 3 | 8 | no | — |
| 296 | H(5,𝔽2) | — | 3 | 4 | no | — |
| 297 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 298 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 299 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 300 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 301 | H(5,𝔽2) | — | 12 | 1 | no | — |
| 302 | H(5,𝔽2) | — | 12 | 2 | no | — |
| 303 | H(5,𝔽2) | C22×D3 | 1 | 4 | yes | complemented |
| 304 | C2×#41 | — | 2 | 2 | no | — |
| 305 | C2×#41 | — | 3 | 2 | no | — |
| 306 | C2×#41 | — | 6 | 2 | no | — |
| 307 | C2×#41 | — | 6 | 2 | no | — |
| 308 | C2×#41 | — | 6 | 2 | no | — |
| 309 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 310 | C22×D4 | — | 2 | 2 | no | — |
| 311 | C22×D4 | — | 3 | 2 | no | — |
| 312 | C22×D4 | — | 4 | 1 | no | — |
| 313 | C22×D4 | — | 4 | 1 | no | — |
| 314 | C22×D4 | — | 6 | 2 | no | — |
| 315 | C22×D4 | — | 6 | 2 | no | — |
| 316 | C22×D4 | — | 6 | 2 | no | — |
| 317 | C22×D4 | — | 12 | 1 | no | — |
| 318 | C22×D4 | — | 12 | 2 | no | — |
| 319 | C22×D4 | — | 12 | 1 | no | — |
| 320 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 321 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 322 | AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 323 | AGL(1,ℤ/8) | — | 3 | 8 | no | — |
| 324 | AGL(1,ℤ/8) | — | 3 | 8 | no | — |
| 325 | AGL(1,ℤ/8) | — | 3 | 8 | no | — |
| 326 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 327 | AGL(1,ℤ/8) | — | 6 | 16 | no | — |
| 328 | AGL(1,ℤ/8) | — | 6 | 16 | no | — |
| 329 | AGL(1,ℤ/8) | — | 6 | 16 | no | — |
| 330 | AGL(1,ℤ/8) | — | 6 | 16 | no | — |
| 331 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 332 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 333 | AGL(1,ℤ/8) | C22×D3 | 1 | 8 | yes | complemented |
| 334 | #135 | — | 3 | 8 | no | — |
| 335 | #135 | — | 3 | 8 | no | — |
| 336 | #135 | — | 6 | 16 | no | — |
| 337 | #135 | — | 6 | 16 | no | — |
| 338 | C2×Q16 | — | 3 | 2 | no | — |
| 339 | C2×SD16 | — | 2 | 2 | no | — |
| 340 | C2×SD16 | — | 3 | 2 | no | — |
| 341 | C2×SD16 | — | 3 | 2 | no | — |
| 342 | C2×SD16 | — | 6 | 2 | no | — |
| 343 | C2×SD16 | — | 6 | 2 | no | — |
| 344 | C2×SD16 | — | 6 | 2 | no | — |
| 345 | C2×D8 | — | 2 | 2 | no | — |
| 346 | C2×D8 | — | 3 | 2 | no | — |
| 347 | C2×D8 | — | 3 | 8 | no | — |
| 348 | C2×D8 | — | 3 | 8 | no | — |
| 349 | C2×D8 | — | 6 | 2 | no | — |
| 350 | C2×D8 | — | 6 | 2 | no | — |
| 351 | C2×D8 | — | 6 | 2 | no | — |
| 352 | C2×D8 | — | 6 | 2 | no | — |
| 353 | C2×D8 | — | 6 | 2 | no | — |
| 354 | C2×D8 | — | 6 | 4 | no | — |
| 355 | C2×D8 | — | 6 | 4 | no | — |
| 356 | C2×D8 | — | 6 | 16 | no | — |
| 357 | C2×D8 | — | 6 | 16 | no | — |
| 358 | C2×D8 | — | 6 | 2 | no | — |
| 359 | C2×D8 | — | 6 | 2 | no | — |
| 360 | #131 | — | 3 | 8 | no | — |
| 361 | #131 | — | 3 | 8 | no | — |
| 362 | #131 | — | 6 | 4 | no | — |
| 363 | #131 | — | 6 | 4 | no | — |
| 364 | C2×M16 | — | 3 | 2 | no | — |
| 365 | C2×M16 | — | 6 | 2 | no | — |
| 366 | C2×M16 | — | 6 | 2 | no | — |
| 367 | C2×M16 | C22×D3 | 1 | 2 | yes | — |
| 368 | C22×C8 | — | 3 | 2 | no | — |
| 369 | C22×C8 | — | 6 | 2 | no | — |
| 370 | C22×C8 | — | 6 | 2 | no | — |
| 371 | #127 | — | 3 | 4 | no | — |
| 372 | #127 | — | 4 | 1 | no | — |
| 373 | #127 | — | 12 | 1 | no | — |
| 374 | #127 | C22×D3 | 1 | 4 | yes | complemented |
| 375 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 376 | #108 | — | 3 | 8 | no | — |
| 377 | #104 | — | 3 | 8 | no | — |
| 378 | #104 | C22×D3 | 1 | 8 | yes | complemented |
| 379 | #100 | — | 3 | 4 | no | — |
| 380 | #100 | — | 3 | 8 | no | — |
| 381 | #100 | C22×D3 | 1 | 4 | yes | complemented |
| 382 | C4×C8 | — | 3 | 4 | no | — |
| 383 | C23×C3 | — | 2 | 2 | no | — |
| 384 | C23×C3 | — | 2 | 2 | no | — |
| 385 | C23×C3 | — | 2 | 2 | no | — |
| 386 | C23×C3 | — | 4 | 4 | no | — |
| 387 | C23×C3 | — | 4 | 1 | no | — |
| 388 | C23×C3 | — | 4 | 1 | no | — |
| 389 | C23×C3 | — | 4 | 1 | no | — |
| 390 | C23×C3 | — | 4 | 1 | no | — |
| 391 | C23×C3 | — | 8 | 2 | no | — |
| 392 | C23×C3 | — | 8 | 2 | no | — |
| 393 | C23×C3 | — | 16 | 2 | no | — |
| 394 | C23×C3 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 395 | C22×D3 | — | 2 | 2 | no | — |
| 396 | C22×D3 | — | 2 | 4 | no | — |
| 397 | C22×D3 | — | 4 | 4 | no | — |
| 398 | C22×D3 | — | 4 | 8 | no | — |
| 399 | C22×D3 | — | 4 | 2 | no | — |
| 400 | C22×D3 | — | 4 | 2 | no | — |
| 401 | C22×D3 | — | 8 | 4 | no | — |
| 402 | C22×D3 | — | 16 | 2 | no | — |
| 403 | C22×D3 | — | 16 | 4 | no | — |
| 404 | C3×Q8 | — | 2 | 2 | no | — |
| 405 | C3×Q8 | C22×D4 | 1 | 4 | yes | — |
| 406 | C3×D4 | — | 2 | 4 | no | — |
| 407 | C3×D4 | — | 2 | 4 | no | — |
| 408 | C3×D4 | — | 2 | 2 | no | — |
| 409 | C3×D4 | — | 2 | 4 | no | — |
| 410 | C3×D4 | — | 2 | 4 | no | — |
| 411 | C3×D4 | — | 4 | 8 | no | — |
| 412 | C3×D4 | — | 4 | 2 | no | — |
| 413 | C3×D4 | — | 4 | 2 | no | — |
| 414 | C3×D4 | — | 8 | 8 | no | — |
| 415 | C3×D4 | C22×D4 | 1 | 4 | yes | — |
| 416 | C2×C3×C4 | — | 2 | 4 | no | — |
| 417 | C2×C3×C4 | — | 2 | 2 | no | — |
| 418 | C2×C3×C4 | — | 2 | 2 | no | — |
| 419 | C2×C3×C4 | — | 2 | 4 | no | — |
| 420 | C2×C3×C4 | — | 2 | 4 | no | — |
| 421 | C2×C3×C4 | — | 4 | 4 | no | — |
| 422 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 423 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 424 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 425 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 426 | #67 | — | 2 | 4 | no | — |
| 427 | #67 | — | 2 | 4 | no | — |
| 428 | #67 | — | 4 | 8 | no | — |
| 429 | #67 | — | 4 | 8 | no | — |
| 430 | C2×Dic3 | — | 2 | 2 | no | — |
| 431 | C2×Dic3 | — | 4 | 4 | no | — |
| 432 | D12 | — | 2 | 2 | no | — |
| 433 | D12 | — | 2 | 4 | no | — |
| 434 | D12 | — | 2 | 4 | no | — |
| 435 | D12 | — | 4 | 8 | no | — |
| 436 | D12 | — | 4 | 2 | no | — |
| 437 | D12 | — | 4 | 2 | no | — |
| 438 | D12 | — | 8 | 8 | no | — |
| 439 | D12 | C22×D4 | 1 | 4 | yes | — |
| 440 | C4×D3 | — | 2 | 4 | no | — |
| 441 | C4×D3 | — | 2 | 4 | no | — |
| 442 | C4×D3 | — | 4 | 8 | no | — |
| 443 | Dic6 | — | 2 | 2 | no | — |
| 444 | Dic6 | C22×D4 | 1 | 4 | yes | — |
| 445 | C3×C8 | — | 2 | 4 | no | — |
| 446 | C3⋊C8 | — | 2 | 4 | no | — |
| 447 | C3⋊C8 | C22×D4 | 1 | 4 | yes | — |
| 448 | C3⋊C8 | C22×D4 | 1 | 4 | yes | — |
| 449 | C24 | — | 2 | 1 | no | — |
| 450 | C24 | — | 2 | 1 | no | — |
| 451 | C24 | — | 4 | 1 | no | — |
| 452 | C24 | — | 6 | 2 | no | — |
| 453 | C24 | — | 12 | 2 | no | — |
| 454 | C24 | — | 12 | 1 | no | — |
| 455 | #41 | — | 2 | 2 | no | — |
| 456 | #41 | — | 2 | 2 | no | — |
| 457 | #41 | — | 2 | 8 | no | — |
| 458 | #41 | — | 3 | 4 | no | — |
| 459 | #41 | — | 3 | 4 | no | — |
| 460 | #41 | — | 4 | 4 | no | — |
| 461 | #41 | — | 6 | 8 | no | — |
| 462 | #41 | — | 6 | 2 | no | — |
| 463 | #41 | — | 6 | 2 | no | — |
| 464 | #41 | — | 6 | 8 | no | — |
| 465 | #41 | — | 6 | 8 | no | — |
| 466 | #41 | — | 12 | 4 | no | — |
| 467 | #41 | — | 12 | 4 | no | — |
| 468 | #41 | — | 12 | 4 | no | — |
| 469 | #41 | D3×D4 | 1 | 4 | yes | — |
| 470 | #41 | C23×D3 | 1 | 4 | yes | — |
| 471 | C2×Q8 | — | 3 | 2 | no | — |
| 472 | C2×Q8 | D3×D4 | 1 | 2 | yes | — |
| 473 | C2×D4 | — | 2 | 2 | no | — |
| 474 | C2×D4 | — | 2 | 8 | 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 | 1 | no | — |
| 480 | C2×D4 | — | 2 | 1 | no | — |
| 481 | C2×D4 | — | 3 | 2 | no | — |
| 482 | C2×D4 | — | 3 | 4 | no | — |
| 483 | C2×D4 | — | 4 | 4 | no | — |
| 484 | C2×D4 | — | 4 | 2 | no | — |
| 485 | C2×D4 | — | 4 | 4 | no | — |
| 486 | C2×D4 | — | 4 | 4 | no | — |
| 487 | C2×D4 | — | 4 | 4 | no | — |
| 488 | C2×D4 | — | 6 | 8 | no | — |
| 489 | C2×D4 | — | 6 | 8 | no | — |
| 490 | C2×D4 | — | 6 | 2 | no | — |
| 491 | C2×D4 | — | 6 | 8 | no | — |
| 492 | C2×D4 | — | 6 | 2 | no | — |
| 493 | C2×D4 | — | 6 | 2 | no | — |
| 494 | C2×D4 | — | 6 | 2 | no | — |
| 495 | C2×D4 | — | 6 | 2 | no | — |
| 496 | C2×D4 | — | 6 | 2 | no | — |
| 497 | C2×D4 | — | 8 | 4 | no | — |
| 498 | C2×D4 | — | 12 | 4 | no | — |
| 499 | C2×D4 | — | 12 | 2 | no | — |
| 500 | C2×D4 | — | 12 | 4 | no | — |
| 501 | C2×D4 | — | 12 | 4 | no | — |
| 502 | C2×D4 | — | 12 | 4 | no | — |
| 503 | C2×D4 | — | 12 | 2 | no | — |
| 504 | C2×D4 | — | 12 | 2 | no | — |
| 505 | C2×D4 | — | 12 | 8 | no | — |
| 506 | C2×D4 | — | 12 | 8 | no | — |
| 507 | C2×D4 | — | 12 | 4 | no | — |
| 508 | C2×D4 | — | 12 | 4 | no | — |
| 509 | C2×D4 | — | 24 | 4 | no | — |
| 510 | C2×D4 | D3×D4 | 1 | 2 | yes | — |
| 511 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 512 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 513 | C22×C4 | — | 2 | 1 | no | — |
| 514 | C22×C4 | — | 2 | 2 | no | — |
| 515 | C22×C4 | — | 4 | 1 | no | — |
| 516 | C22×C4 | — | 6 | 2 | no | — |
| 517 | C22×C4 | — | 12 | 2 | no | — |
| 518 | C22×C4 | — | 12 | 1 | no | — |
| 519 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 520 | Q16 | — | 3 | 8 | no | — |
| 521 | SD16 | — | 2 | 8 | no | — |
| 522 | SD16 | — | 3 | 8 | no | — |
| 523 | SD16 | — | 3 | 8 | no | — |
| 524 | SD16 | — | 6 | 8 | no | — |
| 525 | SD16 | — | 6 | 8 | no | — |
| 526 | SD16 | — | 6 | 8 | no | — |
| 527 | D8 | — | 2 | 8 | no | — |
| 528 | D8 | — | 3 | 8 | no | — |
| 529 | D8 | — | 6 | 8 | no | — |
| 530 | D8 | — | 6 | 8 | no | — |
| 531 | D8 | — | 6 | 8 | no | — |
| 532 | D8 | — | 6 | 8 | no | — |
| 533 | D8 | — | 6 | 8 | no | — |
| 534 | D8 | — | 6 | 8 | no | — |
| 535 | D8 | — | 6 | 8 | no | — |
| 536 | M16 | — | 2 | 2 | no | — |
| 537 | M16 | — | 3 | 4 | no | — |
| 538 | M16 | — | 6 | 8 | no | — |
| 539 | M16 | — | 6 | 8 | no | — |
| 540 | M16 | — | 6 | 2 | no | — |
| 541 | M16 | C23×D3 | 1 | 4 | yes | — |
| 542 | C2×C8 | — | 2 | 2 | no | — |
| 543 | C2×C8 | — | 3 | 2 | no | — |
| 544 | C2×C8 | — | 3 | 2 | no | — |
| 545 | C2×C8 | — | 3 | 4 | no | — |
| 546 | C2×C8 | — | 3 | 4 | no | — |
| 547 | C2×C8 | — | 6 | 8 | no | — |
| 548 | C2×C8 | — | 6 | 8 | no | — |
| 549 | C2×C8 | — | 6 | 2 | no | — |
| 550 | C42 | — | 2 | 1 | no | — |
| 551 | C42 | C23×D3 | 1 | 2 | yes | — |
| 552 | C22×C3 | — | 2 | 2 | no | — |
| 553 | C22×C3 | — | 2 | 4 | no | — |
| 554 | C22×C3 | — | 4 | 4 | no | — |
| 555 | C22×C3 | — | 4 | 2 | no | — |
| 556 | C22×C3 | — | 4 | 2 | no | — |
| 557 | C22×C3 | — | 8 | 2 | no | — |
| 558 | C22×C3 | — | 8 | 2 | no | — |
| 559 | C22×C3 | — | 8 | 2 | no | — |
| 560 | C22×C3 | — | 8 | 2 | no | — |
| 561 | C22×C3 | — | 16 | 1 | no | — |
| 562 | C22×C3 | — | 16 | 1 | no | — |
| 563 | C22×C3 | — | 16 | 4 | no | — |
| 564 | C22×C3 | D42 | 1 | 1 | yes | characteristic |
| 565 | C22×C3 | D42 | 1 | 1 | yes | characteristic |
| 566 | C22×C3 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 567 | C2×D3 | — | 2 | 4 | no | — |
| 568 | C2×D3 | — | 4 | 4 | no | — |
| 569 | C2×D3 | — | 4 | 4 | no | — |
| 570 | C2×D3 | — | 8 | 4 | no | — |
| 571 | C2×D3 | — | 8 | 4 | no | — |
| 572 | C2×D3 | — | 16 | 4 | no | — |
| 573 | C2×D3 | — | 16 | 8 | no | — |
| 574 | C2×D3 | — | 16 | 2 | no | — |
| 575 | C3×C4 | — | 2 | 4 | no | — |
| 576 | C3×C4 | — | 2 | 4 | no | — |
| 577 | C3×C4 | D42 | 1 | 2 | yes | — |
| 578 | C3×C4 | C23×D4 | 1 | 2 | yes | — |
| 579 | Dic3 | — | 2 | 4 | no | — |
| 580 | C23 | — | 2 | 2 | no | — |
| 581 | C23 | — | 2 | 2 | no | — |
| 582 | C23 | — | 2 | 2 | no | — |
| 583 | C23 | — | 4 | 4 | no | — |
| 584 | C23 | — | 4 | 1 | no | — |
| 585 | C23 | — | 4 | 1 | no | — |
| 586 | C23 | — | 4 | 1 | no | — |
| 587 | C23 | — | 4 | 1 | no | — |
| 588 | C23 | — | 6 | 2 | no | — |
| 589 | C23 | — | 6 | 4 | no | — |
| 590 | C23 | — | 8 | 2 | no | — |
| 591 | C23 | — | 8 | 2 | no | — |
| 592 | C23 | — | 12 | 8 | no | — |
| 593 | C23 | — | 12 | 4 | no | — |
| 594 | C23 | — | 12 | 2 | no | — |
| 595 | C23 | — | 12 | 2 | no | — |
| 596 | C23 | — | 16 | 2 | no | — |
| 597 | C23 | — | 24 | 4 | no | — |
| 598 | C23 | — | 48 | 4 | no | — |
| 599 | C23 | — | 48 | 2 | no | — |
| 600 | C23 | #1004 | 1 | 1 | yes | characteristic |
| 601 | Q8 | — | 2 | 2 | no | — |
| 602 | Q8 | — | 3 | 4 | no | — |
| 603 | Q8 | — | 6 | 2 | no | — |
| 604 | Q8 | C2×D3×D4 | 1 | 4 | yes | — |
| 605 | D4 | — | 2 | 4 | no | — |
| 606 | D4 | — | 2 | 4 | no | — |
| 607 | D4 | — | 2 | 4 | no | — |
| 608 | D4 | — | 2 | 4 | no | — |
| 609 | D4 | — | 2 | 2 | no | — |
| 610 | D4 | — | 3 | 4 | no | — |
| 611 | D4 | — | 4 | 8 | no | — |
| 612 | D4 | — | 4 | 2 | no | — |
| 613 | D4 | — | 4 | 2 | no | — |
| 614 | D4 | — | 6 | 4 | no | — |
| 615 | D4 | — | 6 | 4 | no | — |
| 616 | D4 | — | 6 | 4 | no | — |
| 617 | D4 | — | 6 | 4 | no | — |
| 618 | D4 | — | 6 | 2 | no | — |
| 619 | D4 | — | 8 | 8 | no | — |
| 620 | D4 | — | 12 | 8 | no | — |
| 621 | D4 | — | 12 | 8 | no | — |
| 622 | D4 | — | 12 | 8 | no | — |
| 623 | D4 | — | 12 | 2 | no | — |
| 624 | D4 | — | 12 | 2 | no | — |
| 625 | D4 | — | 24 | 8 | no | — |
| 626 | D4 | C2×D3×D4 | 1 | 4 | yes | — |
| 627 | C2×C4 | — | 2 | 4 | no | — |
| 628 | C2×C4 | — | 2 | 2 | no | — |
| 629 | C2×C4 | — | 2 | 2 | no | — |
| 630 | C2×C4 | — | 2 | 4 | no | — |
| 631 | C2×C4 | — | 2 | 4 | no | — |
| 632 | C2×C4 | — | 4 | 4 | no | — |
| 633 | C2×C4 | — | 6 | 2 | no | — |
| 634 | C2×C4 | — | 6 | 4 | no | — |
| 635 | C2×C4 | — | 6 | 4 | no | — |
| 636 | C2×C4 | — | 12 | 8 | no | — |
| 637 | C2×C4 | — | 12 | 4 | no | — |
| 638 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 639 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 640 | C2×C4 | #1004 | 1 | 1 | yes | characteristic |
| 641 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 642 | C8 | — | 2 | 4 | no | — |
| 643 | C8 | — | 3 | 4 | no | — |
| 644 | C8 | — | 3 | 4 | no | — |
| 645 | C8 | — | 6 | 4 | no | — |
| 646 | C2×C3 | — | 2 | 1 | no | — |
| 647 | C2×C3 | — | 2 | 1 | no | — |
| 648 | C2×C3 | — | 4 | 4 | no | — |
| 649 | C2×C3 | — | 8 | 2 | no | — |
| 650 | C2×C3 | — | 8 | 2 | no | — |
| 651 | C2×C3 | #3292 | 1 | 2 | yes | complemented |
| 652 | C2×C3 | C2×D42 | 1 | 1 | yes | characteristic |
| 653 | D3 | — | 4 | 4 | no | — |
| 654 | D3 | — | 8 | 4 | no | — |
| 655 | C22 | — | 2 | 2 | no | — |
| 656 | C22 | — | 2 | 4 | no | — |
| 657 | C22 | — | 4 | 4 | no | — |
| 658 | C22 | — | 4 | 2 | no | — |
| 659 | C22 | — | 4 | 2 | no | — |
| 660 | C22 | — | 6 | 4 | no | — |
| 661 | C22 | — | 8 | 2 | no | — |
| 662 | C22 | — | 8 | 2 | no | — |
| 663 | C22 | — | 8 | 2 | no | — |
| 664 | C22 | — | 8 | 2 | no | — |
| 665 | C22 | — | 12 | 4 | no | — |
| 666 | C22 | — | 12 | 4 | no | — |
| 667 | C22 | — | 16 | 1 | no | — |
| 668 | C22 | — | 16 | 1 | no | — |
| 669 | C22 | — | 16 | 4 | no | — |
| 670 | C22 | — | 24 | 4 | no | — |
| 671 | C22 | — | 24 | 4 | no | — |
| 672 | C22 | — | 48 | 2 | no | — |
| 673 | C22 | — | 48 | 8 | no | — |
| 674 | C22 | — | 48 | 4 | no | — |
| 675 | C22 | #5590 | 1 | 1 | yes | characteristic |
| 676 | C22 | #5590 | 1 | 1 | yes | characteristic |
| 677 | C22 | C2×#1004 | 1 | 1 | yes | characteristic |
| 678 | C4 | — | 2 | 4 | no | — |
| 679 | C4 | — | 2 | 4 | no | — |
| 680 | C4 | — | 6 | 4 | no | — |
| 681 | C4 | #5590 | 1 | 2 | yes | — |
| 682 | C4 | C22×D3×D4 | 1 | 2 | yes | — |
| 683 | C3 | C2×#3292 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 684 | C2 | — | 2 | 1 | no | — |
| 685 | C2 | — | 2 | 1 | no | — |
| 686 | C2 | — | 4 | 4 | no | — |
| 687 | C2 | — | 8 | 2 | no | — |
| 688 | C2 | — | 8 | 2 | no | — |
| 689 | C2 | — | 12 | 4 | no | — |
| 690 | C2 | — | 24 | 4 | no | — |
| 691 | C2 | #80282 | 1 | 2 | yes | direct product factor |
| 692 | C2 | C2×#5590 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#5835 | C2 | semidirect |
| 2. C2×#5774 | C2 | semidirect |
| 3. C2×C3×#453 | C2 | semidirect |
| 4. C2×#5199 | C2 | semidirect |
| 5. C2×#5077 | C2 | semidirect |
| 6. C2×#5073 | C2 | semidirect |
| 7. #80282 | C2 | direct (N × H) |
| 8. C2×#4822 | C2 | semidirect |
| 9. C2×#4824 | C2 | semidirect |
| 10. C2×#4749 | C2 | semidirect |
| 12. C2×C3×H(5,𝔽2) | C22 | semidirect |
| 13. C2×#1009 | C22 | semidirect |
| 14. C2×#1004 | C22 | semidirect |
| 15. C2×C3×AGL(1,ℤ/8) | C22 | semidirect |
| 16. C2×C3×#127 | C22 | semidirect |
| 18. #5835 | C22 | semidirect |
| 22. C2×#949 | C22 | semidirect |
| 23. C2×#948 | C22 | semidirect |
| 25. C2×#932 | C22 | semidirect |
| 27. C22×#213 | C22 | semidirect |
| 28. C22×#213 | C22 | semidirect |
| 30. #5774 | C22 | semidirect |
| 35. C2×#908 | C22 | semidirect |
| 36. C2×#907 | C22 | semidirect |
| 37. C2×#874 | C22 | semidirect |
| 38. C3×#453 | C22 | semidirect |
| 39. C2×C3×#104 | C22 | semidirect |
| 40. C2×C3×#100 | C22 | semidirect |
| 41. C2×#833 | C22 | semidirect |
| 42. #5199 | C22 | semidirect |
| 43. C2×#823 | C22 | semidirect |
| 44. C2×#822 | C22 | semidirect |
| 45. #5077 | C22 | semidirect |
| 46. #5073 | C22 | semidirect |
| 47. C2×#805 | C22 | semidirect |
| 48. C2×C4×C3⋊C8 | C22 | semidirect |
| 49. #4824 | C22 | semidirect |
| 50. #4822 | C22 | semidirect |
| 51. #4749 | C22 | semidirect |
| 60. C2×#453 | D3 | semidirect |
| 64. C3×H(5,𝔽2) | C23 | semidirect |
| 76. #1009 | C23 | semidirect |
| 80. #1004 | C23 | semidirect |
| 91. C3×AGL(1,ℤ/8) | C23 | semidirect |
| 96. C3×#127 | C23 | semidirect |
| 99. #950 | D4 | semidirect |
| 103. #949 | C23 | semidirect |
| 105. #948 | C23 | semidirect |
| 106. C2×#216 | D4 | semidirect |
| 108. C2×#215 | D4 | semidirect |
| 110. C2×#214 | D4 | semidirect |
| 113. #932 | C23 | semidirect |
| 123. C2×#213 | D4 | semidirect |
| 124. C2×#213 | C23 | semidirect |
| 125. C2×#213 | C23 | semidirect |
| 135. #908 | C23 | semidirect |
| 137. #907 | C23 | semidirect |
| 143. #874 | C23 | semidirect |
| 144. C3×#104 | C23 | semidirect |
| 145. C3×#100 | C23 | semidirect |
| 146. #833 | C23 | semidirect |
| 147. #823 | C23 | semidirect |
| 148. #822 | C23 | semidirect |
| 149. #805 | C23 | semidirect |
| 150. C4×C3⋊C8 | C23 | semidirect |
| 153. C2×H(5,𝔽2) | C2×D3 | semidirect |
| 165. C2×AGL(1,ℤ/8) | C2×D3 | semidirect |
| 176. C2×#127 | C2×D3 | semidirect |
| 182. #453 | C2×D3 | semidirect |
| 186. C2×#104 | C2×D3 | semidirect |
| 189. C2×#100 | C2×D3 | semidirect |
| 269. #216 | C2×D4 | semidirect |
| 271. #215 | C2×D4 | semidirect |
| 273. #214 | C2×D4 | semidirect |
| 280. #213 | C2×D4 | semidirect |
| 303. H(5,𝔽2) | C22×D3 | semidirect |
| 333. AGL(1,ℤ/8) | C22×D3 | semidirect |
| 374. #127 | C22×D3 | semidirect |
| 378. #104 | C22×D3 | semidirect |
| 381. #100 | C22×D3 | semidirect |
| 651. C2×C3 | #3292 | semidirect |
| 683. C3 | C2×#3292 | semidirect |
| 691. C2 | #80282 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#5835 | 2 |
| C2×#5774 | 2 |
| C2×C3×#453 | 2 |
| C2×#5199 | 2 |
| C2×#5077 | 2 |
| C2×#5073 | 2 |
| #80282 | 2 |
| C2×#4822 | 2 |
| C2×#4824 | 2 |
| C2×#4749 | 2 |
| C2×#3292 | 3 |