Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1176 conjugacy classes of subgroups.
The subgroup lattice has 456 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#63710 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C22×C9×D8 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10589907 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#63495 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10588896 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10588838 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #10588836 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #10588794 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10588791 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #83833 | — | 3 | 1 | no | maximal |
| 11 | C22×D4×C9 | C22 | 1 | 1 | yes | characteristic |
| 12 | C22×D4×C9 | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | C22×#611 | — | 2 | 2 | no | — |
| 14 | #63710 | — | 2 | 4 | no | — |
| 15 | #63710 | — | 2 | 4 | no | — |
| 16 | C2×#3699 | — | 2 | 1 | no | — |
| 17 | C2×#3699 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×D4×D9 | — | 2 | 1 | no | — |
| 19 | C2×D4×D9 | C22 | 1 | 2 | yes | complemented |
| 20 | C2×#3697 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#3697 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C9×D8 | — | 2 | 4 | no | — |
| 23 | C2×C9×D8 | C22 | 1 | 4 | yes | complemented |
| 24 | C22×C8×C9 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #63515 | — | 2 | 2 | no | — |
| 26 | #63502 | — | 2 | 1 | no | — |
| 27 | #63500 | C22 | 1 | 4 | yes | complemented |
| 28 | #63498 | — | 2 | 1 | no | — |
| 29 | #63495 | — | 2 | 4 | no | — |
| 30 | C2×#3673 | C22 | 1 | 2 | yes | complemented |
| 31 | C2×#3672 | C22 | 1 | 2 | yes | complemented |
| 32 | #63488 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×#3667 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #63392 | C22 | 1 | 4 | yes | complemented |
| 35 | #63380 | C22 | 1 | 2 | yes | complemented |
| 36 | (C2×D9)⋊C8 | C22 | 1 | 4 | yes | complemented |
| 37 | #63376 | C22 | 1 | 2 | yes | complemented |
| 38 | C2×#1004 | — | 3 | 1 | no | — |
| 39 | C22×C3×D8 | D3 | 1 | 1 | yes | characteristic |
| 40 | #5805 | — | 3 | 1 | no | — |
| 41 | C2×#932 | — | 3 | 1 | no | — |
| 42 | #5215 | — | 3 | 1 | no | — |
| 43 | #5158 | — | 3 | 4 | no | — |
| 44 | #5156 | — | 3 | 4 | no | — |
| 45 | #5113 | — | 3 | 1 | no | — |
| 46 | #5110 | — | 3 | 1 | no | — |
| 47 | C24×C9 | — | 2 | 1 | no | — |
| 48 | C24×C9 | — | 2 | 1 | no | — |
| 49 | C23×D9 | — | 2 | 2 | no | — |
| 50 | C2×D4×C9 | — | 2 | 1 | no | — |
| 51 | C2×D4×C9 | — | 2 | 2 | no | — |
| 52 | C2×D4×C9 | — | 2 | 2 | no | — |
| 53 | C2×D4×C9 | — | 2 | 2 | no | — |
| 54 | C2×D4×C9 | — | 2 | 1 | no | — |
| 55 | C2×D4×C9 | D4 | 1 | 4 | yes | complemented |
| 56 | C2×D4×C9 | C23 | 1 | 2 | yes | — |
| 57 | C2×D4×C9 | C23 | 1 | 2 | yes | — |
| 58 | C22×C4×C9 | C23 | 1 | 1 | yes | characteristic |
| 59 | C2×#611 | — | 2 | 16 | no | — |
| 60 | C2×#611 | — | 2 | 1 | no | — |
| 61 | C2×#611 | — | 2 | 2 | no | — |
| 62 | C2×#611 | — | 2 | 4 | no | — |
| 63 | C2×#611 | — | 2 | 2 | no | — |
| 64 | C2×#611 | D4 | 1 | 2 | yes | — |
| 65 | C22×Dic9 | — | 2 | 2 | no | — |
| 66 | #3699 | — | 2 | 8 | no | — |
| 67 | #3699 | — | 2 | 4 | no | — |
| 68 | #3699 | — | 2 | 4 | no | — |
| 69 | D4×D9 | — | 2 | 8 | no | — |
| 70 | D4×D9 | — | 2 | 4 | no | — |
| 71 | D4×D9 | — | 2 | 4 | no | — |
| 72 | #3697 | — | 2 | 2 | no | — |
| 73 | #3697 | — | 2 | 2 | no | — |
| 74 | #3697 | — | 2 | 2 | no | — |
| 75 | #3697 | D4 | 1 | 4 | yes | complemented |
| 76 | C2×D36 | D4 | 1 | 1 | yes | characteristic |
| 77 | C2×D36 | C23 | 1 | 1 | yes | characteristic |
| 78 | C2×C4×D9 | — | 2 | 1 | no | — |
| 79 | C2×C4×D9 | C23 | 1 | 2 | yes | — |
| 80 | C2×Dic18 | D4 | 1 | 1 | yes | characteristic |
| 81 | C2×Dic18 | C23 | 1 | 1 | yes | characteristic |
| 82 | C9×D8 | — | 2 | 8 | no | — |
| 83 | C2×C8×C9 | — | 2 | 2 | no | — |
| 84 | C2×C8×C9 | C23 | 1 | 2 | yes | — |
| 85 | #3676 | — | 2 | 1 | no | — |
| 86 | #3676 | — | 2 | 4 | no | — |
| 87 | #3673 | — | 2 | 4 | no | — |
| 88 | #3672 | — | 2 | 4 | no | — |
| 89 | C4⋊Dic9 | C23 | 1 | 2 | yes | — |
| 90 | C4×Dic9 | — | 2 | 1 | no | — |
| 91 | #3667 | — | 2 | 2 | no | — |
| 92 | C2×C9⋊C8 | C23 | 1 | 2 | yes | — |
| 93 | #3008 | — | 9 | 1 | no | Sylow |
| 94 | C22×C3×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 95 | C22×C3×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 96 | C22×#67 | — | 6 | 2 | no | — |
| 97 | #1004 | — | 6 | 4 | no | — |
| 98 | #1004 | — | 6 | 4 | no | — |
| 99 | C2×#237 | — | 3 | 2 | no | — |
| 100 | C2×#237 | — | 6 | 1 | no | — |
| 101 | C2×D3×D4 | — | 3 | 2 | no | — |
| 102 | C2×D3×D4 | — | 6 | 1 | no | — |
| 103 | C2×#235 | — | 3 | 1 | no | — |
| 104 | C2×#235 | — | 3 | 1 | no | — |
| 105 | C2×C3×D8 | — | 2 | 4 | no | — |
| 106 | C2×C3×D8 | C2×D3 | 1 | 4 | yes | — |
| 107 | C22×C3×C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 108 | #953 | — | 6 | 2 | no | — |
| 109 | #940 | — | 6 | 1 | no | — |
| 110 | #938 | — | 3 | 4 | no | — |
| 111 | #936 | — | 6 | 1 | no | — |
| 112 | C2×#214 | — | 3 | 2 | no | — |
| 113 | #932 | — | 6 | 4 | no | — |
| 114 | C2×#213 | — | 3 | 2 | no | — |
| 115 | #926 | — | 3 | 1 | no | — |
| 116 | C2×#208 | — | 3 | 1 | no | — |
| 117 | #832 | — | 3 | 4 | no | — |
| 118 | #821 | — | 3 | 2 | no | — |
| 119 | (C2×D3)⋊C8 | — | 3 | 4 | no | — |
| 120 | #816 | — | 3 | 2 | no | — |
| 121 | C23×C9 | — | 2 | 2 | no | — |
| 122 | C23×C9 | — | 2 | 4 | no | — |
| 123 | C23×C9 | — | 2 | 2 | no | — |
| 124 | C23×C9 | — | 4 | 2 | no | — |
| 125 | C23×C9 | — | 8 | 2 | no | — |
| 126 | C23×C9 | — | 8 | 2 | no | — |
| 127 | C23×C9 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C22×D9 | — | 2 | 1 | no | — |
| 129 | C22×D9 | — | 2 | 8 | no | — |
| 130 | C22×D9 | — | 8 | 4 | no | — |
| 131 | C22×D9 | C2×D4 | 1 | 2 | yes | — |
| 132 | D4×C9 | — | 2 | 4 | no | — |
| 133 | D4×C9 | — | 2 | 2 | no | — |
| 134 | D4×C9 | — | 2 | 2 | no | — |
| 135 | D4×C9 | — | 2 | 2 | no | — |
| 136 | D4×C9 | — | 4 | 2 | no | — |
| 137 | D4×C9 | C2×D4 | 1 | 4 | yes | — |
| 138 | C2×C4×C9 | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | C2×C4×C9 | C2×D4 | 1 | 2 | yes | — |
| 140 | C2×C4×C9 | C2×D4 | 1 | 2 | yes | — |
| 141 | C2×C4×C9 | C24 | 1 | 1 | yes | characteristic |
| 142 | #611 | — | 2 | 8 | no | — |
| 143 | #611 | — | 2 | 8 | no | — |
| 144 | #611 | — | 2 | 4 | no | — |
| 145 | #611 | — | 2 | 4 | no | — |
| 146 | #611 | — | 8 | 4 | no | — |
| 147 | C2×Dic9 | — | 2 | 8 | no | — |
| 148 | C2×Dic9 | — | 2 | 1 | no | — |
| 149 | C2×Dic9 | — | 2 | 2 | no | — |
| 150 | C2×Dic9 | C2×D4 | 1 | 2 | yes | — |
| 151 | D36 | — | 2 | 2 | no | — |
| 152 | D36 | — | 2 | 1 | no | — |
| 153 | D36 | C2×D4 | 1 | 2 | yes | — |
| 154 | C4×D9 | — | 2 | 4 | no | — |
| 155 | C4×D9 | — | 2 | 2 | no | — |
| 156 | C4×D9 | — | 2 | 2 | no | — |
| 157 | Dic18 | — | 2 | 2 | no | — |
| 158 | Dic18 | — | 2 | 1 | no | — |
| 159 | Dic18 | C2×D4 | 1 | 2 | yes | — |
| 160 | C8×C9 | — | 2 | 2 | no | — |
| 161 | C9⋊C8 | — | 2 | 2 | no | — |
| 162 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 163 | C2×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 164 | C22×D8 | D9 | 1 | 1 | yes | characteristic, complemented |
| 165 | #535 | — | 9 | 1 | no | — |
| 166 | #449 | — | 9 | 4 | no | — |
| 167 | #447 | — | 9 | 4 | no | — |
| 168 | #418 | — | 9 | 1 | no | — |
| 169 | #416 | — | 9 | 1 | no | — |
| 170 | #408 | — | 9 | 1 | no | — |
| 171 | C24×C3 | — | 2 | 1 | no | — |
| 172 | C24×C3 | — | 2 | 1 | no | — |
| 173 | C23×D3 | — | 6 | 2 | no | — |
| 174 | C2×C3×D4 | — | 2 | 1 | no | — |
| 175 | C2×C3×D4 | — | 2 | 2 | no | — |
| 176 | C2×C3×D4 | — | 2 | 2 | no | — |
| 177 | C2×C3×D4 | — | 2 | 1 | no | — |
| 178 | C2×C3×D4 | — | 2 | 2 | no | — |
| 179 | C2×C3×D4 | #67 | 1 | 4 | yes | — |
| 180 | C2×C3×D4 | C22×D3 | 1 | 2 | yes | — |
| 181 | C2×C3×D4 | C22×D3 | 1 | 2 | yes | — |
| 182 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 183 | C2×#67 | — | 3 | 2 | no | — |
| 184 | C2×#67 | — | 6 | 2 | no | — |
| 185 | C2×#67 | — | 6 | 2 | no | — |
| 186 | C2×#67 | — | 6 | 16 | no | — |
| 187 | C2×#67 | — | 6 | 1 | no | — |
| 188 | C2×#67 | — | 6 | 4 | no | — |
| 189 | C22×Dic3 | — | 6 | 2 | no | — |
| 190 | #237 | — | 6 | 4 | no | — |
| 191 | #237 | — | 6 | 8 | no | — |
| 192 | #237 | — | 6 | 4 | no | — |
| 193 | D3×D4 | — | 6 | 4 | no | — |
| 194 | D3×D4 | — | 6 | 8 | no | — |
| 195 | D3×D4 | — | 6 | 4 | no | — |
| 196 | #235 | — | 3 | 4 | no | — |
| 197 | #235 | — | 6 | 2 | no | — |
| 198 | #235 | — | 6 | 2 | no | — |
| 199 | #235 | — | 6 | 2 | no | — |
| 200 | C2×D12 | — | 3 | 1 | no | — |
| 201 | C2×D12 | — | 3 | 1 | no | — |
| 202 | C2×C4×D3 | — | 3 | 2 | no | — |
| 203 | C2×C4×D3 | — | 6 | 1 | no | — |
| 204 | C2×Dic6 | — | 3 | 1 | no | — |
| 205 | C2×Dic6 | — | 3 | 1 | no | — |
| 206 | C3×D8 | — | 2 | 8 | no | — |
| 207 | C2×C3×C8 | — | 2 | 2 | no | — |
| 208 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 209 | #217 | — | 6 | 4 | no | — |
| 210 | #217 | — | 6 | 1 | no | — |
| 211 | #214 | — | 6 | 4 | no | — |
| 212 | #213 | — | 6 | 4 | no | — |
| 213 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 214 | C4×Dic3 | — | 6 | 1 | no | — |
| 215 | #208 | — | 6 | 2 | no | — |
| 216 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 217 | C22×C9 | — | 2 | 2 | no | — |
| 218 | C22×C9 | — | 2 | 4 | no | — |
| 219 | C22×C9 | — | 4 | 4 | no | — |
| 220 | C22×C9 | — | 4 | 2 | no | — |
| 221 | C22×C9 | — | 4 | 4 | no | — |
| 222 | C22×C9 | — | 8 | 4 | no | — |
| 223 | C22×C9 | — | 8 | 4 | no | — |
| 224 | C22×C9 | #120 | 1 | 2 | yes | — |
| 225 | C22×C9 | C22×D4 | 1 | 1 | yes | characteristic |
| 226 | C2×D9 | — | 2 | 2 | no | — |
| 227 | C2×D9 | — | 2 | 2 | no | — |
| 228 | C2×D9 | — | 2 | 4 | no | — |
| 229 | C2×D9 | — | 4 | 2 | no | — |
| 230 | C2×D9 | — | 8 | 8 | no | — |
| 231 | C4×C9 | #120 | 1 | 2 | yes | — |
| 232 | C4×C9 | C22×D4 | 1 | 1 | yes | characteristic |
| 233 | C4×C9 | C22×D4 | 1 | 1 | yes | characteristic |
| 234 | Dic9 | — | 2 | 2 | no | — |
| 235 | Dic9 | — | 2 | 2 | no | — |
| 236 | Dic9 | — | 4 | 2 | no | — |
| 237 | H(5,𝔽2) | — | 18 | 4 | no | — |
| 238 | H(5,𝔽2) | — | 18 | 4 | no | — |
| 239 | C2×#41 | — | 9 | 1 | no | — |
| 240 | C2×#41 | — | 9 | 2 | no | — |
| 241 | C2×#41 | — | 9 | 1 | no | — |
| 242 | C2×#41 | — | 18 | 1 | no | — |
| 243 | C22×D4 | — | 9 | 2 | no | — |
| 244 | C22×D4 | — | 18 | 1 | no | — |
| 245 | C22×D4 | — | 18 | 2 | no | — |
| 246 | C22×D4 | C2×D9 | 1 | 1 | yes | characteristic |
| 247 | C22×D4 | C2×D9 | 1 | 1 | yes | characteristic, complemented |
| 248 | AGL(1,ℤ/8) | — | 18 | 4 | no | — |
| 249 | C2×SD16 | — | 9 | 2 | no | — |
| 250 | C2×D8 | — | 2 | 4 | no | — |
| 251 | C2×D8 | — | 9 | 2 | no | — |
| 252 | C2×D8 | C2×D9 | 1 | 4 | yes | complemented |
| 253 | C2×M16 | — | 9 | 1 | no | — |
| 254 | C22×C8 | C2×D9 | 1 | 1 | yes | characteristic, complemented |
| 255 | #127 | — | 18 | 1 | no | — |
| 256 | #124 | — | 18 | 1 | no | — |
| 257 | #121 | — | 9 | 4 | no | — |
| 258 | #120 | — | 18 | 2 | no | — |
| 259 | #117 | — | 9 | 1 | no | — |
| 260 | #103 | — | 9 | 2 | no | — |
| 261 | #102 | — | 9 | 4 | no | — |
| 262 | #102 | — | 9 | 2 | no | — |
| 263 | C22⋊C8 | — | 9 | 4 | no | — |
| 264 | C23×C3 | — | 2 | 2 | no | — |
| 265 | C23×C3 | — | 2 | 4 | no | — |
| 266 | C23×C3 | — | 2 | 2 | no | — |
| 267 | C23×C3 | — | 4 | 2 | no | — |
| 268 | C23×C3 | — | 8 | 2 | no | — |
| 269 | C23×C3 | — | 8 | 2 | no | — |
| 270 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 271 | C22×D3 | — | 3 | 2 | no | — |
| 272 | C22×D3 | — | 6 | 1 | no | — |
| 273 | C22×D3 | — | 6 | 8 | no | — |
| 274 | C22×D3 | — | 24 | 4 | no | — |
| 275 | C3×D4 | — | 2 | 4 | no | — |
| 276 | C3×D4 | — | 2 | 2 | no | — |
| 277 | C3×D4 | — | 2 | 2 | no | — |
| 278 | C3×D4 | — | 2 | 2 | no | — |
| 279 | C3×D4 | — | 4 | 2 | no | — |
| 280 | C3×D4 | C2×#67 | 1 | 4 | yes | — |
| 281 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 282 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 283 | C2×C3×C4 | C2×#67 | 1 | 2 | yes | — |
| 284 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 285 | #67 | — | 6 | 8 | no | — |
| 286 | #67 | — | 6 | 8 | no | — |
| 287 | #67 | — | 6 | 4 | no | — |
| 288 | #67 | — | 6 | 4 | no | — |
| 289 | #67 | — | 24 | 4 | no | — |
| 290 | C2×Dic3 | — | 3 | 2 | no | — |
| 291 | C2×Dic3 | — | 6 | 8 | no | — |
| 292 | C2×Dic3 | — | 6 | 1 | no | — |
| 293 | C2×Dic3 | — | 6 | 2 | no | — |
| 294 | D12 | — | 3 | 2 | no | — |
| 295 | D12 | — | 6 | 2 | no | — |
| 296 | D12 | — | 6 | 1 | no | — |
| 297 | C4×D3 | — | 6 | 4 | no | — |
| 298 | C4×D3 | — | 6 | 2 | no | — |
| 299 | C4×D3 | — | 6 | 2 | no | — |
| 300 | Dic6 | — | 3 | 2 | no | — |
| 301 | Dic6 | — | 6 | 2 | no | — |
| 302 | Dic6 | — | 6 | 1 | no | — |
| 303 | C3×C8 | — | 2 | 2 | no | — |
| 304 | C3⋊C8 | — | 6 | 2 | no | — |
| 305 | C2×C9 | — | 2 | 2 | no | — |
| 306 | C2×C9 | — | 4 | 4 | no | — |
| 307 | C2×C9 | — | 8 | 2 | no | — |
| 308 | C2×C9 | C2×#120 | 1 | 1 | yes | characteristic |
| 309 | C2×C9 | #576 | 1 | 2 | yes | — |
| 310 | D9 | — | 4 | 2 | no | — |
| 311 | D9 | — | 4 | 2 | no | — |
| 312 | C24 | — | 2 | 1 | no | — |
| 313 | C24 | — | 2 | 1 | no | — |
| 314 | C24 | — | 18 | 2 | no | — |
| 315 | #41 | — | 9 | 4 | no | — |
| 316 | #41 | — | 18 | 4 | no | — |
| 317 | #41 | — | 18 | 8 | no | — |
| 318 | #41 | — | 18 | 4 | no | — |
| 319 | #41 | — | 18 | 2 | no | — |
| 320 | #41 | — | 18 | 2 | no | — |
| 321 | #41 | — | 18 | 2 | no | — |
| 322 | C2×Q8 | — | 9 | 1 | no | — |
| 323 | C2×Q8 | — | 9 | 1 | no | — |
| 324 | C2×D4 | — | 2 | 1 | no | — |
| 325 | C2×D4 | — | 2 | 2 | no | — |
| 326 | C2×D4 | — | 2 | 2 | no | — |
| 327 | C2×D4 | — | 2 | 1 | no | — |
| 328 | C2×D4 | — | 2 | 2 | no | — |
| 329 | C2×D4 | — | 9 | 2 | no | — |
| 330 | C2×D4 | — | 9 | 1 | no | — |
| 331 | C2×D4 | — | 9 | 1 | no | — |
| 332 | C2×D4 | — | 18 | 2 | no | — |
| 333 | C2×D4 | — | 18 | 4 | no | — |
| 334 | C2×D4 | — | 18 | 8 | no | — |
| 335 | C2×D4 | — | 18 | 2 | no | — |
| 336 | C2×D4 | — | 18 | 16 | no | — |
| 337 | C2×D4 | — | 18 | 1 | no | — |
| 338 | C2×D4 | — | 18 | 4 | no | — |
| 339 | C2×D4 | — | 18 | 4 | no | — |
| 340 | C2×D4 | #611 | 1 | 4 | yes | complemented |
| 341 | C2×D4 | C22×D9 | 1 | 2 | yes | — |
| 342 | C2×D4 | C22×D9 | 1 | 2 | yes | — |
| 343 | C22×C4 | — | 9 | 2 | no | — |
| 344 | C22×C4 | — | 18 | 2 | no | — |
| 345 | C22×C4 | — | 18 | 1 | no | — |
| 346 | C22×C4 | C22×D9 | 1 | 1 | yes | characteristic |
| 347 | SD16 | — | 18 | 4 | no | — |
| 348 | D8 | — | 2 | 8 | no | — |
| 349 | D8 | — | 18 | 4 | no | — |
| 350 | M16 | — | 18 | 2 | no | — |
| 351 | C2×C8 | — | 2 | 2 | no | — |
| 352 | C2×C8 | — | 9 | 2 | no | — |
| 353 | C2×C8 | C22×D9 | 1 | 2 | yes | — |
| 354 | C4⋊C4 | — | 9 | 2 | no | — |
| 355 | C22⋊C4 | — | 18 | 4 | no | — |
| 356 | C22⋊C4 | — | 18 | 1 | no | — |
| 357 | C42 | — | 18 | 1 | no | — |
| 358 | C22×C3 | — | 2 | 2 | no | — |
| 359 | C22×C3 | — | 2 | 4 | no | — |
| 360 | C22×C3 | — | 4 | 4 | no | — |
| 361 | C22×C3 | — | 4 | 4 | no | — |
| 362 | C22×C3 | — | 4 | 2 | no | — |
| 363 | C22×C3 | — | 8 | 4 | no | — |
| 364 | C22×C3 | — | 8 | 4 | no | — |
| 365 | C22×C3 | #937 | 1 | 2 | yes | — |
| 366 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 367 | C2×D3 | — | 6 | 4 | no | — |
| 368 | C2×D3 | — | 6 | 2 | no | — |
| 369 | C2×D3 | — | 6 | 2 | no | — |
| 370 | C2×D3 | — | 12 | 2 | no | — |
| 371 | C2×D3 | — | 24 | 8 | no | — |
| 372 | C3×C4 | #937 | 1 | 2 | yes | — |
| 373 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 374 | C3×C4 | C22×#67 | 1 | 1 | yes | characteristic |
| 375 | Dic3 | — | 6 | 2 | no | — |
| 376 | Dic3 | — | 6 | 2 | no | — |
| 377 | Dic3 | — | 12 | 2 | no | — |
| 378 | C9 | #3008 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 379 | C23 | — | 2 | 2 | no | — |
| 380 | C23 | — | 2 | 4 | no | — |
| 381 | C23 | — | 2 | 2 | no | — |
| 382 | C23 | — | 4 | 2 | no | — |
| 383 | C23 | — | 8 | 2 | no | — |
| 384 | C23 | — | 8 | 2 | no | — |
| 385 | C23 | — | 9 | 2 | no | — |
| 386 | C23 | — | 18 | 8 | no | — |
| 387 | C23 | — | 18 | 1 | no | — |
| 388 | C23 | — | 72 | 4 | no | — |
| 389 | C23 | D4×D9 | 1 | 1 | yes | characteristic |
| 390 | Q8 | — | 9 | 2 | no | — |
| 391 | Q8 | — | 18 | 2 | no | — |
| 392 | Q8 | — | 18 | 1 | no | — |
| 393 | D4 | — | 2 | 4 | no | — |
| 394 | D4 | — | 2 | 2 | no | — |
| 395 | D4 | — | 2 | 2 | no | — |
| 396 | D4 | — | 2 | 2 | no | — |
| 397 | D4 | — | 4 | 2 | no | — |
| 398 | D4 | — | 9 | 2 | no | — |
| 399 | D4 | — | 18 | 8 | no | — |
| 400 | D4 | — | 18 | 8 | no | — |
| 401 | D4 | — | 18 | 4 | no | — |
| 402 | D4 | — | 18 | 4 | no | — |
| 403 | D4 | — | 18 | 2 | no | — |
| 404 | D4 | — | 18 | 1 | no | — |
| 405 | D4 | — | 72 | 4 | no | — |
| 406 | D4 | C2×#611 | 1 | 4 | yes | — |
| 407 | C2×C4 | — | 9 | 2 | no | — |
| 408 | C2×C4 | — | 18 | 8 | no | — |
| 409 | C2×C4 | — | 18 | 1 | no | — |
| 410 | C2×C4 | — | 18 | 4 | no | — |
| 411 | C2×C4 | — | 18 | 2 | no | — |
| 412 | C2×C4 | — | 18 | 2 | no | — |
| 413 | C2×C4 | — | 18 | 2 | no | — |
| 414 | C2×C4 | D4×D9 | 1 | 1 | yes | characteristic |
| 415 | C2×C4 | D4×D9 | 1 | 2 | yes | — |
| 416 | C2×C4 | C2×#611 | 1 | 2 | yes | — |
| 417 | C2×C4 | C23×D9 | 1 | 1 | yes | characteristic |
| 418 | C8 | — | 2 | 2 | no | — |
| 419 | C8 | — | 18 | 2 | no | — |
| 420 | C2×C3 | — | 2 | 2 | no | — |
| 421 | C2×C3 | — | 4 | 4 | no | — |
| 422 | C2×C3 | — | 8 | 2 | no | — |
| 423 | C2×C3 | #5757 | 1 | 2 | yes | — |
| 424 | C2×C3 | C2×#937 | 1 | 1 | yes | characteristic |
| 425 | D3 | — | 12 | 2 | no | — |
| 426 | D3 | — | 12 | 2 | no | — |
| 427 | C22 | — | 2 | 2 | no | — |
| 428 | C22 | — | 2 | 4 | no | — |
| 429 | C22 | — | 4 | 4 | no | — |
| 430 | C22 | — | 4 | 4 | no | — |
| 431 | C22 | — | 4 | 2 | no | — |
| 432 | C22 | — | 8 | 4 | no | — |
| 433 | C22 | — | 8 | 4 | no | — |
| 434 | C22 | — | 18 | 4 | no | — |
| 435 | C22 | — | 18 | 2 | no | — |
| 436 | C22 | — | 18 | 2 | no | — |
| 437 | C22 | — | 36 | 2 | no | — |
| 438 | C22 | — | 72 | 8 | no | — |
| 439 | C22 | #63499 | 1 | 2 | yes | — |
| 440 | C22 | C2×D4×D9 | 1 | 1 | yes | characteristic |
| 441 | C4 | — | 18 | 2 | no | — |
| 442 | C4 | — | 18 | 2 | no | — |
| 443 | C4 | — | 36 | 2 | no | — |
| 444 | C4 | #63499 | 1 | 2 | yes | — |
| 445 | C4 | C2×D4×D9 | 1 | 1 | yes | characteristic |
| 446 | C4 | C22×#611 | 1 | 1 | yes | characteristic |
| 447 | C3 | #83833 | 1 | 1 | yes | characteristic |
| 448 | C2 | — | 2 | 2 | no | — |
| 449 | C2 | — | 4 | 4 | no | — |
| 450 | C2 | — | 8 | 2 | no | — |
| 451 | C2 | — | 36 | 2 | no | — |
| 452 | C2 | — | 36 | 2 | no | — |
| 453 | C2 | #10589859 | 1 | 2 | yes | — |
| 454 | C2 | C2×#63499 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#63710 | C2 | semidirect |
| 2. C22×C9×D8 | C2 | semidirect |
| 3. #10589907 | C2 | semidirect |
| 4. C2×#63495 | C2 | semidirect |
| 5. #10588896 | C2 | semidirect |
| 6. #10588838 | C2 | semidirect |
| 7. #10588836 | C2 | semidirect |
| 8. #10588794 | C2 | semidirect |
| 9. #10588791 | C2 | semidirect |
| 12. C22×D4×C9 | C22 | semidirect |
| 17. C2×#3699 | C22 | semidirect |
| 19. C2×D4×D9 | C22 | semidirect |
| 23. C2×C9×D8 | C22 | semidirect |
| 24. C22×C8×C9 | C22 | semidirect |
| 27. #63500 | C22 | semidirect |
| 30. C2×#3673 | C22 | semidirect |
| 31. C2×#3672 | C22 | semidirect |
| 32. #63488 | C22 | semidirect |
| 33. C2×#3667 | C22 | semidirect |
| 34. #63392 | C22 | semidirect |
| 35. #63380 | C22 | semidirect |
| 36. (C2×D9)⋊C8 | C22 | semidirect |
| 37. #63376 | C22 | semidirect |
| 55. C2×D4×C9 | D4 | semidirect |
| 75. #3697 | D4 | semidirect |
| 164. C22×D8 | D9 | semidirect |
| 247. C22×D4 | C2×D9 | semidirect |
| 252. C2×D8 | C2×D9 | semidirect |
| 254. C22×C8 | C2×D9 | semidirect |
| 340. C2×D4 | #611 | semidirect |
| 378. C9 | #3008 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63710 | 2 |
| C22×C9×D8 | 2 |
| #10589907 | 2 |
| C2×#63495 | 2 |
| #10588896 | 2 |
| #10588838 | 2 |
| #10588836 | 2 |
| #10588794 | 2 |
| #10588791 | 2 |
| #83833 | 3 |