Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
597 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 597 conjugacy classes of subgroups — too many to draw. Only its 94 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C3⋊D3×#135 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10590685 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10590625 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#4566 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10589125 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | D3×#360 | — | 3 | 2 | no | maximal |
| 7 | #41×C3⋊D3 | — | 2 | 1 | no | — |
| 8 | C32×#135 | C22 | 1 | 1 | yes | characteristic |
| 9 | #64159 | — | 2 | 1 | no | — |
| 10 | #64128 | C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | Q16×C3⋊D3 | C4 | 1 | 1 | yes | characteristic, complemented |
| 12 | #64125 | — | 2 | 1 | no | — |
| 13 | SD16×C3⋊D3 | — | 2 | 1 | no | — |
| 14 | #64121 | C4 | 1 | 1 | yes | characteristic, complemented |
| 15 | D8×C3⋊D3 | C4 | 1 | 1 | yes | characteristic, complemented |
| 16 | #64113 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 18 | #63900 | — | 2 | 1 | no | — |
| 19 | C3×#817 | C22 | 1 | 2 | yes | complemented |
| 20 | C3×#812 | C22 | 1 | 2 | yes | complemented |
| 21 | #63574 | — | 2 | 1 | no | — |
| 22 | #63544 | — | 2 | 1 | no | — |
| 23 | #63542 | — | 2 | 1 | no | — |
| 24 | D3×#135 | — | 3 | 2 | no | — |
| 25 | D3×#135 | — | 6 | 1 | no | — |
| 26 | D3×M32 | — | 3 | 2 | no | — |
| 27 | D3×#106 | — | 3 | 2 | no | — |
| 28 | C3×#360 | — | 3 | 2 | no | — |
| 29 | #4566 | D3 | 1 | 2 | yes | complemented |
| 30 | #4518 | — | 3 | 2 | no | — |
| 31 | #4488 | — | 3 | 2 | no | — |
| 32 | C32×#41 | — | 2 | 1 | no | — |
| 33 | #3832 | — | 2 | 1 | no | — |
| 34 | Q8×C3⋊D3 | — | 2 | 1 | no | — |
| 35 | #3830 | — | 2 | 1 | no | — |
| 36 | #3830 | — | 4 | 1 | no | — |
| 37 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 38 | D4×C3⋊D3 | — | 4 | 1 | no | — |
| 39 | #3828 | — | 2 | 1 | no | — |
| 40 | #3828 | — | 4 | 1 | no | — |
| 41 | C2×C4×C3⋊D3 | — | 4 | 1 | no | — |
| 42 | C2×C4×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 43 | C2×#624 | — | 4 | 1 | no | — |
| 44 | C32×Q16 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 45 | C32×SD16 | — | 2 | 1 | no | — |
| 46 | C32×D8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 47 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 48 | #3756 | — | 2 | 1 | no | — |
| 49 | #3755 | — | 2 | 1 | no | — |
| 50 | #3754 | — | 2 | 1 | no | — |
| 51 | #3753 | — | 2 | 1 | no | — |
| 52 | C2×C3⋊(C3⋊C8) | D4 | 1 | 1 | yes | characteristic |
| 53 | #3746 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 54 | #3745 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 55 | #3744 | — | 2 | 1 | no | — |
| 56 | C8×C3⋊D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 57 | C8×C3⋊D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 58 | C8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 59 | C8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 60 | C3×C4⋊Dic3 | — | 2 | 2 | no | — |
| 61 | #3724 | — | 4 | 1 | no | — |
| 62 | C3×C3⋊C16 | — | 2 | 2 | no | — |
| 63 | C2×#360 | — | 9 | 1 | no | Sylow |
| 64 | D3×#41 | — | 6 | 2 | no | — |
| 65 | D3×#41 | — | 6 | 2 | no | — |
| 66 | C3×#135 | — | 2 | 1 | no | — |
| 67 | C3×#135 | C2×D3 | 1 | 2 | yes | — |
| 68 | #950 | — | 6 | 2 | no | — |
| 69 | #950 | — | 6 | 2 | no | — |
| 70 | #919 | — | 3 | 2 | no | — |
| 71 | #919 | — | 6 | 1 | no | — |
| 72 | D3×Q16 | — | 3 | 2 | no | — |
| 73 | D3×Q16 | — | 6 | 1 | no | — |
| 74 | #916 | — | 6 | 2 | no | — |
| 75 | #916 | — | 6 | 2 | no | — |
| 76 | D3×SD16 | — | 6 | 2 | no | — |
| 77 | D3×SD16 | — | 6 | 2 | no | — |
| 78 | #912 | — | 3 | 2 | no | — |
| 79 | #912 | — | 6 | 1 | no | — |
| 80 | D3×D8 | — | 3 | 2 | no | — |
| 81 | D3×D8 | — | 6 | 1 | no | — |
| 82 | #904 | — | 3 | 2 | no | — |
| 83 | #904 | — | 6 | 1 | no | — |
| 84 | C2×D3×C8 | — | 3 | 2 | no | — |
| 85 | C2×D3×C8 | — | 6 | 1 | no | — |
| 86 | D3×C4⋊C4 | — | 6 | 2 | no | — |
| 87 | C3×M32 | — | 3 | 2 | no | — |
| 88 | C3×#106 | — | 3 | 2 | no | — |
| 89 | #817 | C2×D3 | 1 | 2 | yes | complemented |
| 90 | #812 | C2×D3 | 1 | 2 | yes | complemented |
| 91 | #808 | — | 6 | 2 | no | — |
| 92 | #798 | — | 6 | 2 | no | — |
| 93 | D3×C16 | — | 6 | 2 | no | — |
| 94 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 95 | C22×C3⋊D3 | D8 | 1 | 1 | yes | characteristic |
| 96 | C32×Q8 | — | 2 | 1 | no | — |
| 97 | C32×D4 | — | 2 | 1 | no | — |
| 98 | C32×D4 | — | 4 | 1 | no | — |
| 99 | C2×C32×C4 | — | 4 | 1 | no | — |
| 100 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 101 | #638 | — | 4 | 1 | no | — |
| 102 | #638 | — | 4 | 1 | no | — |
| 103 | #638 | — | 4 | 1 | no | — |
| 104 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 105 | C2×C3⋊Dic3 | D8 | 1 | 1 | yes | characteristic |
| 106 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 107 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 108 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 109 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 110 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 111 | C4×C3⋊D3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 112 | C4×C3⋊D3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 113 | C4×C3⋊D3 | SD16 | 1 | 1 | yes | characteristic |
| 114 | C4×C3⋊D3 | SD16 | 1 | 1 | yes | characteristic |
| 115 | #634 | — | 2 | 1 | no | — |
| 116 | #634 | — | 4 | 1 | no | — |
| 117 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 118 | #624 | — | 8 | 2 | no | — |
| 119 | C32×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 120 | C32×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 121 | C3⋊(C3⋊C8) | C22⋊C4 | 1 | 1 | yes | characteristic |
| 122 | C3⋊(C3⋊C8) | C22⋊C4 | 1 | 1 | yes | characteristic |
| 123 | C2×#135 | — | 9 | 1 | no | — |
| 124 | C2×M32 | — | 9 | 1 | no | — |
| 125 | C2×#106 | — | 9 | 1 | no | — |
| 126 | #360 | — | 3 | 2 | no | — |
| 127 | #360 | — | 9 | 2 | no | — |
| 128 | C3×#41 | — | 2 | 2 | no | — |
| 129 | C3×#41 | — | 2 | 2 | no | — |
| 130 | #239 | — | 6 | 2 | no | — |
| 131 | #239 | — | 6 | 2 | no | — |
| 132 | D3×Q8 | — | 6 | 2 | no | — |
| 133 | D3×Q8 | — | 6 | 2 | no | — |
| 134 | #237 | — | 6 | 2 | no | — |
| 135 | #237 | — | 6 | 2 | no | — |
| 136 | #237 | — | 12 | 2 | no | — |
| 137 | #237 | — | 12 | 2 | no | — |
| 138 | D3×D4 | — | 6 | 2 | no | — |
| 139 | D3×D4 | — | 6 | 2 | no | — |
| 140 | D3×D4 | — | 12 | 2 | no | — |
| 141 | D3×D4 | — | 12 | 2 | no | — |
| 142 | #235 | — | 6 | 2 | no | — |
| 143 | #235 | — | 6 | 2 | no | — |
| 144 | #235 | — | 12 | 2 | no | — |
| 145 | #235 | — | 12 | 2 | no | — |
| 146 | C2×C4×D3 | — | 3 | 2 | no | — |
| 147 | C2×C4×D3 | — | 6 | 1 | no | — |
| 148 | C2×C4×D3 | — | 12 | 2 | no | — |
| 149 | C2×C4×D3 | — | 12 | 2 | no | — |
| 150 | C2×C4×D3 | — | 12 | 2 | no | — |
| 151 | C3×Q16 | — | 2 | 1 | no | — |
| 152 | C3×Q16 | C4×D3 | 1 | 2 | yes | complemented |
| 153 | C3×SD16 | — | 2 | 2 | no | — |
| 154 | C3×SD16 | — | 2 | 2 | no | — |
| 155 | C3×D8 | — | 2 | 1 | no | — |
| 156 | C3×D8 | C4×D3 | 1 | 2 | yes | complemented |
| 157 | C2×C3×C8 | — | 2 | 1 | no | — |
| 158 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 159 | C3×C4⋊C4 | — | 6 | 2 | no | — |
| 160 | #216 | — | 6 | 2 | no | — |
| 161 | #216 | — | 6 | 2 | no | — |
| 162 | #215 | — | 6 | 2 | no | — |
| 163 | #215 | — | 6 | 2 | no | — |
| 164 | #214 | — | 6 | 2 | no | — |
| 165 | #214 | — | 6 | 2 | no | — |
| 166 | #213 | — | 6 | 2 | no | — |
| 167 | #213 | — | 6 | 2 | no | — |
| 168 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 169 | Dic3⋊C4 | — | 12 | 2 | no | — |
| 170 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 171 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 172 | Dic12 | — | 3 | 2 | no | — |
| 173 | Dic12 | — | 6 | 1 | no | — |
| 174 | D24 | — | 3 | 2 | no | — |
| 175 | D24 | — | 6 | 1 | no | — |
| 176 | #204 | — | 6 | 2 | no | — |
| 177 | #204 | — | 6 | 2 | no | — |
| 178 | D3×C8 | — | 3 | 2 | no | — |
| 179 | D3×C8 | — | 3 | 2 | no | — |
| 180 | D3×C8 | — | 3 | 2 | no | — |
| 181 | D3×C8 | — | 3 | 2 | no | — |
| 182 | D3×C8 | — | 6 | 1 | no | — |
| 183 | D3×C8 | — | 6 | 1 | no | — |
| 184 | D3×C8 | — | 6 | 1 | no | — |
| 185 | D3×C8 | — | 6 | 1 | no | — |
| 186 | C3×C16 | — | 6 | 2 | no | — |
| 187 | C3⋊C16 | — | 2 | 2 | no | — |
| 188 | C22×C32 | — | 4 | 1 | no | — |
| 189 | C22×C32 | C2×D8 | 1 | 1 | yes | characteristic |
| 190 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 191 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 192 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 193 | C2×C3⋊D3 | #102 | 1 | 1 | yes | characteristic |
| 194 | C2×C3⋊D3 | #102 | 1 | 1 | yes | characteristic |
| 195 | C32×C4 | — | 4 | 1 | no | — |
| 196 | C32×C4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 197 | C32×C4 | C2×SD16 | 1 | 1 | yes | characteristic |
| 198 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 199 | C3⋊Dic3 | #102 | 1 | 1 | yes | characteristic |
| 200 | C3⋊Dic3 | #102 | 1 | 1 | yes | characteristic |
| 201 | C3×Dic3 | — | 8 | 2 | no | — |
| 202 | C2×#41 | — | 18 | 1 | no | — |
| 203 | #135 | — | 9 | 1 | no | — |
| 204 | #135 | — | 9 | 1 | no | — |
| 205 | #135 | — | 9 | 1 | no | — |
| 206 | #135 | — | 18 | 1 | no | — |
| 207 | #135 | — | 18 | 1 | no | — |
| 208 | #135 | D32 | 1 | 1 | yes | characteristic |
| 209 | C2×Q16 | — | 9 | 1 | no | — |
| 210 | C2×SD16 | — | 18 | 1 | no | — |
| 211 | C2×D8 | — | 9 | 1 | no | — |
| 212 | C22×C8 | — | 9 | 1 | no | — |
| 213 | C2×C4⋊C4 | — | 18 | 1 | no | — |
| 214 | M32 | — | 3 | 2 | no | — |
| 215 | M32 | — | 18 | 1 | no | — |
| 216 | C2×C16 | — | 18 | 1 | no | — |
| 217 | #106 | — | 3 | 2 | no | — |
| 218 | #106 | — | 18 | 1 | no | — |
| 219 | C22×D3 | — | 3 | 2 | no | — |
| 220 | C22×D3 | — | 6 | 1 | no | — |
| 221 | C22×D3 | — | 12 | 2 | no | — |
| 222 | C22×D3 | — | 12 | 2 | no | — |
| 223 | C3×Q8 | — | 2 | 2 | no | — |
| 224 | C3×Q8 | — | 2 | 2 | no | — |
| 225 | C3×D4 | — | 2 | 2 | no | — |
| 226 | C3×D4 | — | 2 | 2 | no | — |
| 227 | C3×D4 | — | 4 | 2 | no | — |
| 228 | C3×D4 | — | 4 | 2 | no | — |
| 229 | C2×C3×C4 | — | 2 | 1 | no | — |
| 230 | C2×C3×C4 | — | 4 | 2 | no | — |
| 231 | C2×C3×C4 | — | 4 | 2 | no | — |
| 232 | C2×C3×C4 | — | 12 | 2 | no | — |
| 233 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 234 | #67 | — | 12 | 2 | no | — |
| 235 | #67 | — | 12 | 2 | no | — |
| 236 | #67 | — | 12 | 2 | no | — |
| 237 | #67 | — | 12 | 2 | no | — |
| 238 | #67 | — | 12 | 2 | no | — |
| 239 | #67 | — | 12 | 2 | no | — |
| 240 | C2×Dic3 | — | 3 | 2 | no | — |
| 241 | C2×Dic3 | — | 4 | 2 | no | — |
| 242 | C2×Dic3 | — | 6 | 1 | no | — |
| 243 | C2×Dic3 | — | 12 | 2 | no | — |
| 244 | C2×Dic3 | — | 12 | 2 | no | — |
| 245 | D12 | — | 6 | 2 | no | — |
| 246 | D12 | — | 6 | 2 | no | — |
| 247 | D12 | — | 12 | 2 | no | — |
| 248 | D12 | — | 12 | 2 | no | — |
| 249 | C4×D3 | — | 3 | 2 | no | — |
| 250 | C4×D3 | — | 3 | 2 | no | — |
| 251 | C4×D3 | — | 3 | 2 | no | — |
| 252 | C4×D3 | — | 3 | 2 | no | — |
| 253 | C4×D3 | — | 6 | 1 | no | — |
| 254 | C4×D3 | — | 6 | 1 | no | — |
| 255 | C4×D3 | — | 6 | 1 | no | — |
| 256 | C4×D3 | — | 6 | 1 | no | — |
| 257 | C4×D3 | — | 12 | 2 | no | — |
| 258 | C4×D3 | — | 12 | 2 | no | — |
| 259 | C4×D3 | — | 12 | 2 | no | — |
| 260 | C4×D3 | — | 12 | 2 | no | — |
| 261 | C4×D3 | — | 12 | 2 | no | — |
| 262 | C4×D3 | — | 12 | 2 | no | — |
| 263 | C4×D3 | — | 24 | 4 | no | — |
| 264 | Dic6 | — | 6 | 2 | no | — |
| 265 | Dic6 | — | 6 | 2 | no | — |
| 266 | Dic6 | — | 12 | 2 | no | — |
| 267 | Dic6 | — | 12 | 2 | no | — |
| 268 | C3×C8 | — | 2 | 1 | no | — |
| 269 | C3×C8 | — | 2 | 1 | no | — |
| 270 | C3×C8 | C2×C4×D3 | 1 | 2 | yes | — |
| 271 | C3×C8 | D3×D4 | 1 | 2 | yes | — |
| 272 | C3⋊C8 | — | 3 | 2 | no | — |
| 273 | C3⋊C8 | — | 3 | 2 | no | — |
| 274 | C3⋊C8 | — | 6 | 1 | no | — |
| 275 | C3⋊C8 | — | 6 | 1 | no | — |
| 276 | C2×C32 | — | 2 | 1 | no | — |
| 277 | C2×C32 | — | 8 | 1 | no | — |
| 278 | C2×C32 | C2×#102 | 1 | 1 | yes | characteristic |
| 279 | C3⋊D3 | — | 2 | 1 | no | — |
| 280 | C3⋊D3 | — | 8 | 1 | no | — |
| 281 | C3⋊D3 | #360 | 1 | 2 | yes | complemented |
| 282 | #41 | — | 2 | 1 | no | — |
| 283 | #41 | — | 18 | 1 | no | — |
| 284 | #41 | — | 18 | 1 | no | — |
| 285 | #41 | — | 18 | 1 | no | — |
| 286 | #41 | — | 36 | 1 | no | — |
| 287 | #41 | — | 36 | 1 | no | — |
| 288 | C2×Q8 | — | 18 | 1 | no | — |
| 289 | C2×D4 | — | 18 | 1 | no | — |
| 290 | C2×D4 | — | 36 | 1 | no | — |
| 291 | C22×C4 | — | 9 | 1 | no | — |
| 292 | C22×C4 | — | 36 | 1 | no | — |
| 293 | C22×C4 | — | 36 | 1 | no | — |
| 294 | Q16 | — | 9 | 1 | no | — |
| 295 | Q16 | — | 18 | 1 | no | — |
| 296 | Q16 | #624 | 1 | 1 | yes | characteristic, complemented |
| 297 | SD16 | — | 2 | 1 | no | — |
| 298 | SD16 | — | 18 | 1 | no | — |
| 299 | SD16 | — | 18 | 1 | no | — |
| 300 | SD16 | — | 18 | 1 | no | — |
| 301 | D8 | — | 9 | 1 | no | — |
| 302 | D8 | — | 18 | 1 | no | — |
| 303 | D8 | #624 | 1 | 1 | yes | characteristic, complemented |
| 304 | C2×C8 | — | 9 | 1 | no | — |
| 305 | C2×C8 | — | 9 | 1 | no | — |
| 306 | C2×C8 | — | 9 | 1 | no | — |
| 307 | C2×C8 | — | 9 | 1 | no | — |
| 308 | C2×C8 | — | 9 | 1 | no | — |
| 309 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 310 | C4⋊C4 | — | 6 | 2 | no | — |
| 311 | C4⋊C4 | — | 36 | 1 | no | — |
| 312 | C16 | — | 6 | 2 | no | — |
| 313 | C22×C3 | — | 2 | 1 | no | — |
| 314 | C22×C3 | — | 4 | 2 | no | — |
| 315 | C22×C3 | — | 4 | 2 | no | — |
| 316 | C22×C3 | D3×D8 | 1 | 2 | yes | — |
| 317 | C2×D3 | — | 3 | 2 | no | — |
| 318 | C2×D3 | — | 3 | 2 | no | — |
| 319 | C2×D3 | — | 6 | 1 | no | — |
| 320 | C2×D3 | — | 6 | 1 | no | — |
| 321 | C2×D3 | — | 6 | 4 | no | — |
| 322 | C2×D3 | — | 12 | 2 | no | — |
| 323 | C2×D3 | — | 12 | 2 | no | — |
| 324 | C2×D3 | — | 12 | 2 | no | — |
| 325 | C2×D3 | — | 24 | 4 | no | — |
| 326 | C2×D3 | — | 24 | 4 | no | — |
| 327 | C3×C4 | — | 2 | 1 | no | — |
| 328 | C3×C4 | — | 2 | 1 | no | — |
| 329 | C3×C4 | — | 4 | 2 | no | — |
| 330 | C3×C4 | — | 4 | 2 | no | — |
| 331 | C3×C4 | — | 24 | 2 | no | — |
| 332 | C3×C4 | D3×C22⋊C4 | 1 | 2 | yes | — |
| 333 | C3×C4 | D3×SD16 | 1 | 2 | yes | — |
| 334 | Dic3 | — | 3 | 2 | no | — |
| 335 | Dic3 | — | 3 | 2 | no | — |
| 336 | Dic3 | — | 6 | 1 | no | — |
| 337 | Dic3 | — | 6 | 1 | no | — |
| 338 | Dic3 | — | 8 | 2 | no | — |
| 339 | Dic3 | — | 12 | 2 | no | — |
| 340 | Dic3 | — | 12 | 2 | no | — |
| 341 | C32 | C2×#360 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 342 | C23 | — | 9 | 1 | no | — |
| 343 | C23 | — | 36 | 1 | no | — |
| 344 | Q8 | — | 2 | 1 | no | — |
| 345 | Q8 | — | 18 | 1 | no | — |
| 346 | Q8 | — | 36 | 1 | no | — |
| 347 | D4 | — | 2 | 1 | no | — |
| 348 | D4 | — | 4 | 1 | no | — |
| 349 | D4 | — | 18 | 1 | no | — |
| 350 | D4 | — | 36 | 1 | no | — |
| 351 | D4 | — | 36 | 1 | no | — |
| 352 | D4 | — | 36 | 1 | no | — |
| 353 | D4 | — | 36 | 1 | no | — |
| 354 | C2×C4 | — | 4 | 1 | no | — |
| 355 | C2×C4 | — | 9 | 1 | no | — |
| 356 | C2×C4 | — | 9 | 1 | no | — |
| 357 | C2×C4 | — | 9 | 1 | no | — |
| 358 | C2×C4 | — | 9 | 1 | no | — |
| 359 | C2×C4 | — | 9 | 1 | no | — |
| 360 | C2×C4 | — | 12 | 2 | no | — |
| 361 | C2×C4 | — | 36 | 1 | no | — |
| 362 | C2×C4 | — | 36 | 1 | no | — |
| 363 | C2×C4 | — | 36 | 1 | no | — |
| 364 | C2×C4 | — | 36 | 1 | no | — |
| 365 | C2×C4 | — | 72 | 2 | no | — |
| 366 | C2×C4 | #3811 | 1 | 1 | yes | characteristic |
| 367 | C8 | — | 9 | 1 | no | — |
| 368 | C8 | — | 9 | 1 | no | — |
| 369 | C8 | C2×#624 | 1 | 1 | yes | characteristic |
| 370 | C8 | #3811 | 1 | 1 | yes | characteristic |
| 371 | C2×C3 | — | 2 | 2 | no | — |
| 372 | C2×C3 | — | 2 | 1 | no | — |
| 373 | C2×C3 | — | 4 | 1 | no | — |
| 374 | C2×C3 | — | 8 | 2 | no | — |
| 375 | C2×C3 | — | 8 | 2 | no | — |
| 376 | C2×C3 | D3×#102 | 1 | 2 | yes | — |
| 377 | D3 | — | 3 | 4 | no | — |
| 378 | D3 | — | 6 | 2 | no | — |
| 379 | D3 | — | 6 | 2 | no | — |
| 380 | D3 | — | 12 | 1 | no | — |
| 381 | D3 | — | 24 | 2 | no | — |
| 382 | D3 | — | 24 | 2 | no | — |
| 383 | C22 | — | 4 | 1 | no | — |
| 384 | C22 | — | 9 | 1 | no | — |
| 385 | C22 | — | 9 | 1 | no | — |
| 386 | C22 | — | 18 | 2 | no | — |
| 387 | C22 | — | 36 | 1 | no | — |
| 388 | C22 | — | 72 | 2 | no | — |
| 389 | C22 | #63926 | 1 | 1 | yes | characteristic |
| 390 | C4 | — | 4 | 1 | no | — |
| 391 | C4 | — | 9 | 1 | no | — |
| 392 | C4 | — | 9 | 1 | no | — |
| 393 | C4 | — | 24 | 2 | no | — |
| 394 | C4 | — | 36 | 1 | no | — |
| 395 | C4 | #63930 | 1 | 1 | yes | characteristic |
| 396 | C4 | #63974 | 1 | 1 | yes | characteristic |
| 397 | C3 | — | 2 | 1 | no | — |
| 398 | C3 | D3×#360 | 1 | 2 | yes | complemented |
| 399 | C2 | — | 2 | 1 | no | — |
| 400 | C2 | — | 8 | 1 | no | — |
| 401 | C2 | — | 9 | 2 | no | — |
| 402 | C2 | — | 18 | 1 | no | — |
| 403 | C2 | — | 72 | 1 | no | — |
| 404 | C2 | #10591416 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #10590685 | C2 | semidirect |
| 3. #10590625 | C2 | semidirect |
| 4. C3×#4566 | C2 | semidirect |
| 5. #10589125 | C2 | semidirect |
| 10. #64128 | C4 | semidirect |
| 11. Q16×C3⋊D3 | C4 | semidirect |
| 14. #64121 | C4 | semidirect |
| 15. D8×C3⋊D3 | C4 | semidirect |
| 19. C3×#817 | C22 | semidirect |
| 20. C3×#812 | C22 | semidirect |
| 29. #4566 | D3 | semidirect |
| 44. C32×Q16 | C2×C4 | semidirect |
| 46. C32×D8 | C2×C4 | semidirect |
| 53. #3746 | C2×C4 | semidirect |
| 54. #3745 | C2×C4 | semidirect |
| 89. #817 | C2×D3 | semidirect |
| 90. #812 | C2×D3 | semidirect |
| 152. C3×Q16 | C4×D3 | semidirect |
| 156. C3×D8 | C4×D3 | semidirect |
| 281. C3⋊D3 | #360 | semidirect |
| 296. Q16 | #624 | semidirect |
| 303. D8 | #624 | semidirect |
| 341. C32 | C2×#360 | semidirect |
| 398. C3 | D3×#360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3⋊D3×#135 | 2 |
| #10590685 | 2 |
| #10590625 | 2 |
| C3×#4566 | 2 |
| #10589125 | 2 |
| D3×#360 | 3 |