Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
566 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 74 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 | #10596228 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×C3×#827 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10590933 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10590642 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#4563 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10589122 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10589113 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #71490 | — | 3 | 1 | no | maximal |
| 9 | #69259 | — | 3 | 1 | no | maximal |
| 10 | #64361 | — | 2 | 1 | no | — |
| 11 | C2×C32×D8 | C22 | 1 | 1 | yes | characteristic |
| 12 | #64141 | — | 2 | 1 | no | — |
| 13 | #64121 | — | 2 | 1 | no | — |
| 14 | #64120 | — | 2 | 2 | no | — |
| 15 | D8×C3⋊D3 | — | 2 | 1 | no | — |
| 16 | #64113 | C22 | 1 | 1 | yes | characteristic |
| 17 | #64110 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C3×Dic12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | #63833 | — | 2 | 1 | no | — |
| 20 | C3×#827 | — | 2 | 2 | no | — |
| 21 | C3×#819 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C3×#812 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×C3×C3⋊C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #63560 | — | 2 | 1 | no | — |
| 25 | #63551 | — | 2 | 1 | no | — |
| 26 | #63549 | — | 2 | 1 | no | — |
| 27 | #5757 | — | 3 | 1 | no | — |
| 28 | #5757 | — | 3 | 1 | no | — |
| 29 | #5757 | — | 6 | 1 | no | — |
| 30 | C2×C3×SD32 | — | 3 | 1 | no | — |
| 31 | #5192 | — | 3 | 1 | no | — |
| 32 | #5179 | — | 3 | 1 | no | — |
| 33 | C2×#827 | D3 | 1 | 1 | yes | characteristic, complemented |
| 34 | #4909 | — | 3 | 1 | no | — |
| 35 | #4896 | — | 3 | 1 | no | — |
| 36 | C3×#361 | — | 3 | 1 | no | — |
| 37 | #4563 | D3 | 1 | 1 | yes | characteristic, complemented |
| 38 | #4515 | — | 3 | 1 | no | — |
| 39 | #4510 | — | 3 | 1 | no | — |
| 40 | #4508 | — | 3 | 1 | no | — |
| 41 | #4497 | — | 3 | 1 | no | — |
| 42 | C2×C32×D4 | — | 2 | 1 | no | — |
| 43 | C2×#638 | — | 4 | 2 | no | — |
| 44 | #3830 | — | 2 | 2 | no | — |
| 45 | #3830 | — | 4 | 1 | no | — |
| 46 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 47 | D4×C3⋊D3 | — | 4 | 1 | no | — |
| 48 | #3828 | — | 2 | 1 | no | — |
| 49 | #3828 | D4 | 1 | 1 | yes | characteristic |
| 50 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 51 | C32×D8 | — | 2 | 1 | no | — |
| 52 | C32×D8 | D4 | 1 | 2 | yes | — |
| 53 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 54 | #3754 | — | 2 | 2 | no | — |
| 55 | #3753 | — | 2 | 2 | no | — |
| 56 | #3748 | D4 | 1 | 1 | yes | characteristic |
| 57 | #3746 | D4 | 1 | 1 | yes | characteristic |
| 58 | #3745 | D4 | 1 | 1 | yes | characteristic |
| 59 | #3744 | — | 2 | 1 | no | — |
| 60 | #3743 | — | 2 | 1 | no | — |
| 61 | C8×C3⋊D3 | — | 2 | 1 | no | — |
| 62 | C3×#208 | — | 2 | 1 | no | — |
| 63 | C3×Dic12 | — | 2 | 1 | no | — |
| 64 | C3×Dic12 | — | 2 | 1 | no | — |
| 65 | #3719 | — | 4 | 1 | no | — |
| 66 | #3717 | — | 4 | 1 | no | — |
| 67 | C3×C3⋊C16 | — | 2 | 1 | no | — |
| 68 | C3×C3⋊C16 | — | 2 | 1 | no | — |
| 69 | #2194 | — | 9 | 1 | no | Sylow |
| 70 | #1004 | — | 6 | 1 | no | — |
| 71 | #1004 | — | 6 | 1 | no | — |
| 72 | #1004 | — | 6 | 2 | no | — |
| 73 | C2×C3×Q16 | — | 3 | 1 | no | — |
| 74 | C2×C3×D8 | — | 2 | 1 | no | — |
| 75 | C2×C3×D8 | C2×D3 | 1 | 1 | yes | characteristic |
| 76 | C2×C3×D8 | C2×D3 | 1 | 1 | yes | characteristic |
| 77 | #942 | — | 6 | 1 | no | — |
| 78 | #932 | — | 6 | 1 | no | — |
| 79 | #932 | — | 6 | 1 | no | — |
| 80 | #932 | — | 6 | 2 | no | — |
| 81 | #912 | — | 6 | 1 | no | — |
| 82 | #912 | — | 6 | 1 | no | — |
| 83 | #912 | — | 6 | 2 | no | — |
| 84 | #911 | — | 6 | 4 | no | — |
| 85 | #911 | — | 6 | 2 | no | — |
| 86 | #911 | — | 6 | 2 | no | — |
| 87 | D3×D8 | — | 6 | 1 | no | — |
| 88 | D3×D8 | — | 6 | 1 | no | — |
| 89 | D3×D8 | — | 6 | 2 | no | — |
| 90 | #909 | — | 6 | 1 | no | — |
| 91 | C2×Dic12 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 92 | #904 | — | 3 | 1 | no | — |
| 93 | #904 | — | 3 | 1 | no | — |
| 94 | #904 | — | 6 | 1 | no | — |
| 95 | #901 | — | 3 | 1 | no | — |
| 96 | #901 | — | 3 | 1 | no | — |
| 97 | #901 | — | 6 | 1 | no | — |
| 98 | C3×SD32 | — | 6 | 2 | no | — |
| 99 | C3×M32 | — | 3 | 1 | no | — |
| 100 | C2×C3×C16 | — | 3 | 1 | no | — |
| 101 | C3×#108 | — | 3 | 1 | no | — |
| 102 | #836 | — | 6 | 1 | no | — |
| 103 | #829 | — | 6 | 1 | no | — |
| 104 | #828 | — | 6 | 1 | no | — |
| 105 | #827 | — | 2 | 2 | no | — |
| 106 | #824 | — | 6 | 1 | no | — |
| 107 | #819 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 108 | #812 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 109 | C2×C3⋊C16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 110 | Dic24 | — | 6 | 1 | no | — |
| 111 | #800 | — | 6 | 1 | no | — |
| 112 | C23×C32 | — | 4 | 1 | no | — |
| 113 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 114 | C32×D4 | — | 2 | 2 | no | — |
| 115 | C32×D4 | — | 4 | 1 | no | — |
| 116 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 117 | #638 | — | 2 | 1 | no | — |
| 118 | #638 | — | 4 | 2 | no | — |
| 119 | #638 | — | 4 | 2 | no | — |
| 120 | #638 | — | 4 | 1 | no | — |
| 121 | C2×C3⋊Dic3 | — | 4 | 2 | no | — |
| 122 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 123 | C4⋊(C3⋊D3) | D8 | 1 | 1 | yes | characteristic |
| 124 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 125 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 126 | #634 | — | 2 | 1 | no | — |
| 127 | #634 | D8 | 1 | 1 | yes | characteristic |
| 128 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 129 | C3×Dic6 | — | 4 | 1 | no | — |
| 130 | C3×Dic6 | — | 4 | 1 | no | — |
| 131 | C32×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 132 | C32×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 133 | C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 134 | C3×C3⋊C8 | — | 4 | 1 | no | — |
| 135 | #576 | — | 9 | 1 | no | — |
| 136 | #510 | — | 9 | 1 | no | — |
| 137 | C2×SD32 | — | 3 | 1 | no | — |
| 138 | #473 | — | 9 | 1 | no | — |
| 139 | #361 | — | 3 | 1 | no | — |
| 140 | #359 | — | 9 | 1 | no | — |
| 141 | #350 | — | 9 | 1 | no | — |
| 142 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 143 | C2×C3×D4 | — | 2 | 2 | no | — |
| 144 | C2×C3×D4 | — | 2 | 1 | no | — |
| 145 | C2×C3×D4 | — | 2 | 1 | no | — |
| 146 | C2×#67 | — | 12 | 4 | no | — |
| 147 | C2×#67 | — | 12 | 2 | no | — |
| 148 | C2×#67 | — | 12 | 2 | no | — |
| 149 | #237 | — | 6 | 4 | no | — |
| 150 | #237 | — | 6 | 2 | no | — |
| 151 | #237 | — | 6 | 2 | no | — |
| 152 | #237 | — | 12 | 1 | no | — |
| 153 | #237 | — | 12 | 1 | no | — |
| 154 | #237 | — | 12 | 2 | no | — |
| 155 | D3×D4 | — | 6 | 4 | no | — |
| 156 | D3×D4 | — | 6 | 2 | no | — |
| 157 | D3×D4 | — | 6 | 2 | no | — |
| 158 | D3×D4 | — | 12 | 1 | no | — |
| 159 | D3×D4 | — | 12 | 1 | no | — |
| 160 | D3×D4 | — | 12 | 2 | no | — |
| 161 | #235 | — | 3 | 1 | no | — |
| 162 | #235 | — | 3 | 1 | no | — |
| 163 | #235 | — | 6 | 1 | no | — |
| 164 | #235 | — | 6 | 2 | no | — |
| 165 | #235 | — | 6 | 1 | no | — |
| 166 | #235 | — | 6 | 1 | no | — |
| 167 | C2×Dic6 | — | 2 | 1 | no | — |
| 168 | C3×Q16 | — | 6 | 1 | no | — |
| 169 | C3×Q16 | — | 6 | 1 | no | — |
| 170 | C3×D8 | — | 2 | 2 | no | — |
| 171 | C3×D8 | — | 2 | 1 | no | — |
| 172 | C3×D8 | — | 2 | 1 | no | — |
| 173 | C3×D8 | — | 2 | 2 | no | — |
| 174 | C3×D8 | D12 | 1 | 2 | yes | — |
| 175 | C3×D8 | #67 | 1 | 2 | yes | — |
| 176 | C3×M16 | — | 6 | 1 | no | — |
| 177 | C2×C3×C8 | — | 2 | 1 | no | — |
| 178 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 179 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 180 | #216 | — | 12 | 1 | no | — |
| 181 | #215 | — | 12 | 1 | no | — |
| 182 | #214 | — | 6 | 4 | no | — |
| 183 | #214 | — | 6 | 2 | no | — |
| 184 | #214 | — | 6 | 2 | no | — |
| 185 | #213 | — | 6 | 4 | no | — |
| 186 | #213 | — | 6 | 2 | no | — |
| 187 | #213 | — | 6 | 2 | no | — |
| 188 | #208 | — | 2 | 1 | no | — |
| 189 | #208 | — | 3 | 1 | no | — |
| 190 | #208 | — | 3 | 1 | no | — |
| 191 | #208 | — | 6 | 1 | no | — |
| 192 | Dic12 | — | 2 | 1 | no | — |
| 193 | Dic12 | — | 2 | 1 | no | — |
| 194 | Dic12 | — | 3 | 1 | no | — |
| 195 | Dic12 | — | 3 | 1 | no | — |
| 196 | Dic12 | — | 6 | 1 | no | — |
| 197 | Dic12 | — | 12 | 1 | no | — |
| 198 | D24 | — | 3 | 1 | no | — |
| 199 | D24 | — | 3 | 1 | no | — |
| 200 | D24 | — | 6 | 1 | no | — |
| 201 | #204 | — | 6 | 2 | no | — |
| 202 | #204 | — | 6 | 1 | no | — |
| 203 | #204 | — | 6 | 1 | no | — |
| 204 | #204 | — | 12 | 1 | no | — |
| 205 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 206 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 207 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 208 | D3×C8 | — | 6 | 2 | no | — |
| 209 | D3×C8 | — | 6 | 1 | no | — |
| 210 | D3×C8 | — | 6 | 1 | no | — |
| 211 | C3×C16 | — | 6 | 1 | no | — |
| 212 | C3×C16 | — | 6 | 1 | no | — |
| 213 | C3⋊C16 | — | 2 | 1 | no | — |
| 214 | C3⋊C16 | — | 2 | 1 | no | — |
| 215 | C22×C32 | — | 4 | 2 | no | — |
| 216 | C22×C32 | — | 16 | 1 | no | — |
| 217 | C22×C32 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 218 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 219 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 220 | C2×C3⋊D3 | — | 16 | 2 | no | — |
| 221 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 222 | C32×C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 223 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 224 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 225 | C3×Dic3 | — | 8 | 1 | no | — |
| 226 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 227 | #137 | — | 18 | 1 | no | — |
| 228 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 229 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 230 | #135 | — | 9 | 1 | no | — |
| 231 | #135 | — | 18 | 1 | no | — |
| 232 | C2×Q16 | — | 3 | 1 | no | — |
| 233 | C2×D8 | — | 18 | 1 | no | — |
| 234 | C2×D8 | D32 | 1 | 1 | yes | characteristic |
| 235 | #131 | — | 9 | 1 | no | — |
| 236 | Q32 | — | 18 | 1 | no | — |
| 237 | SD32 | — | 6 | 2 | no | — |
| 238 | SD32 | — | 18 | 1 | no | — |
| 239 | M32 | — | 3 | 1 | no | — |
| 240 | C2×C16 | — | 3 | 1 | no | — |
| 241 | #108 | — | 3 | 1 | no | — |
| 242 | #101 | — | 18 | 1 | no | — |
| 243 | C23×C3 | — | 4 | 2 | no | — |
| 244 | C23×C3 | — | 4 | 1 | no | — |
| 245 | C23×C3 | — | 4 | 1 | no | — |
| 246 | C22×D3 | — | 12 | 4 | no | — |
| 247 | C22×D3 | — | 12 | 2 | no | — |
| 248 | C22×D3 | — | 12 | 2 | no | — |
| 249 | C3×Q8 | — | 12 | 1 | no | — |
| 250 | C3×Q8 | — | 12 | 1 | no | — |
| 251 | C3×D4 | — | 2 | 4 | no | — |
| 252 | C3×D4 | — | 2 | 2 | no | — |
| 253 | C3×D4 | — | 2 | 2 | no | — |
| 254 | C3×D4 | — | 4 | 2 | no | — |
| 255 | C3×D4 | — | 4 | 1 | no | — |
| 256 | C3×D4 | — | 4 | 1 | no | — |
| 257 | C2×C3×C4 | — | 2 | 1 | no | — |
| 258 | C2×C3×C4 | — | 12 | 1 | no | — |
| 259 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 260 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 261 | #67 | — | 6 | 2 | no | — |
| 262 | #67 | — | 6 | 1 | no | — |
| 263 | #67 | — | 6 | 1 | no | — |
| 264 | #67 | — | 12 | 4 | no | — |
| 265 | #67 | — | 12 | 2 | no | — |
| 266 | #67 | — | 12 | 2 | no | — |
| 267 | #67 | — | 12 | 4 | no | — |
| 268 | #67 | — | 12 | 2 | no | — |
| 269 | #67 | — | 12 | 2 | no | — |
| 270 | #67 | — | 12 | 2 | no | — |
| 271 | #67 | — | 12 | 1 | no | — |
| 272 | #67 | — | 12 | 1 | no | — |
| 273 | C2×Dic3 | — | 4 | 1 | no | — |
| 274 | C2×Dic3 | — | 12 | 4 | no | — |
| 275 | C2×Dic3 | — | 12 | 2 | no | — |
| 276 | C2×Dic3 | — | 12 | 2 | no | — |
| 277 | D12 | — | 3 | 1 | no | — |
| 278 | D12 | — | 3 | 1 | no | — |
| 279 | D12 | — | 6 | 1 | no | — |
| 280 | D12 | — | 6 | 2 | no | — |
| 281 | D12 | — | 6 | 1 | no | — |
| 282 | D12 | — | 6 | 1 | no | — |
| 283 | C4×D3 | — | 6 | 2 | no | — |
| 284 | C4×D3 | — | 6 | 1 | no | — |
| 285 | C4×D3 | — | 6 | 1 | no | — |
| 286 | C4×D3 | — | 12 | 2 | no | — |
| 287 | C4×D3 | — | 12 | 1 | no | — |
| 288 | C4×D3 | — | 12 | 1 | no | — |
| 289 | Dic6 | — | 3 | 1 | no | — |
| 290 | Dic6 | — | 3 | 1 | no | — |
| 291 | Dic6 | — | 4 | 1 | no | — |
| 292 | Dic6 | — | 4 | 1 | no | — |
| 293 | Dic6 | — | 6 | 1 | no | — |
| 294 | Dic6 | — | 6 | 2 | no | — |
| 295 | Dic6 | — | 6 | 1 | no | — |
| 296 | Dic6 | — | 6 | 1 | no | — |
| 297 | C3×C8 | — | 2 | 1 | no | — |
| 298 | C3×C8 | — | 2 | 1 | no | — |
| 299 | C3×C8 | — | 12 | 1 | no | — |
| 300 | C3×C8 | C2×D12 | 1 | 1 | yes | characteristic |
| 301 | C3×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 302 | C3×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 303 | C3×C8 | C2×#67 | 1 | 1 | yes | characteristic |
| 304 | C3⋊C8 | — | 4 | 1 | no | — |
| 305 | C3⋊C8 | — | 6 | 2 | no | — |
| 306 | C3⋊C8 | — | 6 | 1 | no | — |
| 307 | C3⋊C8 | — | 6 | 1 | no | — |
| 308 | C2×C32 | — | 2 | 1 | no | — |
| 309 | C2×C32 | — | 8 | 2 | no | — |
| 310 | C2×C32 | #447 | 1 | 1 | yes | characteristic |
| 311 | C3⋊D3 | — | 4 | 1 | no | — |
| 312 | C3⋊D3 | — | 8 | 1 | no | — |
| 313 | #41 | — | 9 | 1 | no | — |
| 314 | #41 | — | 18 | 2 | no | — |
| 315 | #41 | — | 18 | 1 | no | — |
| 316 | #41 | — | 36 | 1 | no | — |
| 317 | C2×Q8 | — | 6 | 1 | no | — |
| 318 | C2×D4 | — | 2 | 1 | no | — |
| 319 | C2×D4 | — | 18 | 2 | no | — |
| 320 | C2×D4 | — | 36 | 1 | no | — |
| 321 | C2×D4 | — | 36 | 2 | no | — |
| 322 | Q16 | — | 6 | 1 | no | — |
| 323 | Q16 | — | 6 | 1 | no | — |
| 324 | Q16 | — | 9 | 1 | no | — |
| 325 | Q16 | — | 36 | 1 | no | — |
| 326 | SD16 | — | 18 | 2 | no | — |
| 327 | SD16 | — | 18 | 1 | no | — |
| 328 | SD16 | — | 36 | 1 | no | — |
| 329 | D8 | — | 2 | 1 | no | — |
| 330 | D8 | — | 9 | 1 | no | — |
| 331 | D8 | — | 18 | 2 | no | — |
| 332 | D8 | #626 | 1 | 2 | yes | — |
| 333 | M16 | — | 6 | 1 | no | — |
| 334 | M16 | — | 9 | 1 | no | — |
| 335 | M16 | — | 18 | 1 | no | — |
| 336 | C2×C8 | — | 18 | 1 | no | — |
| 337 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 338 | C16 | — | 6 | 1 | no | — |
| 339 | C16 | — | 6 | 1 | no | — |
| 340 | C22×C3 | — | 2 | 1 | no | — |
| 341 | C22×C3 | — | 4 | 4 | no | — |
| 342 | C22×C3 | — | 4 | 2 | no | — |
| 343 | C22×C3 | — | 4 | 2 | no | — |
| 344 | C22×C3 | — | 16 | 1 | no | — |
| 345 | C22×C3 | — | 16 | 1 | no | — |
| 346 | C22×C3 | — | 16 | 2 | no | — |
| 347 | C22×C3 | #911 | 1 | 1 | yes | characteristic |
| 348 | C22×C3 | #914 | 1 | 1 | yes | characteristic |
| 349 | C2×D3 | — | 6 | 2 | no | — |
| 350 | C2×D3 | — | 6 | 1 | no | — |
| 351 | C2×D3 | — | 6 | 1 | no | — |
| 352 | C2×D3 | — | 12 | 2 | no | — |
| 353 | C2×D3 | — | 12 | 1 | no | — |
| 354 | C2×D3 | — | 12 | 1 | no | — |
| 355 | C2×D3 | — | 48 | 4 | no | — |
| 356 | C2×D3 | — | 48 | 2 | no | — |
| 357 | C2×D3 | — | 48 | 2 | no | — |
| 358 | C3×C4 | — | 2 | 1 | no | — |
| 359 | C3×C4 | — | 2 | 1 | no | — |
| 360 | C3×C4 | — | 24 | 1 | no | — |
| 361 | C3×C4 | #882 | 1 | 1 | yes | characteristic |
| 362 | C3×C4 | D3×D8 | 1 | 1 | yes | characteristic |
| 363 | C3×C4 | D3×D8 | 1 | 1 | yes | characteristic |
| 364 | C3×C4 | #937 | 1 | 1 | yes | characteristic |
| 365 | Dic3 | — | 6 | 2 | no | — |
| 366 | Dic3 | — | 6 | 1 | no | — |
| 367 | Dic3 | — | 6 | 1 | no | — |
| 368 | Dic3 | — | 8 | 1 | no | — |
| 369 | Dic3 | — | 12 | 2 | no | — |
| 370 | Dic3 | — | 12 | 1 | no | — |
| 371 | Dic3 | — | 12 | 1 | no | — |
| 372 | C32 | #2194 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 373 | C23 | — | 4 | 1 | no | — |
| 374 | C23 | — | 36 | 2 | no | — |
| 375 | Q8 | — | 9 | 1 | no | — |
| 376 | Q8 | — | 12 | 1 | no | — |
| 377 | Q8 | — | 12 | 1 | no | — |
| 378 | Q8 | — | 18 | 1 | no | — |
| 379 | D4 | — | 2 | 2 | no | — |
| 380 | D4 | — | 4 | 1 | no | — |
| 381 | D4 | — | 9 | 1 | no | — |
| 382 | D4 | — | 18 | 1 | no | — |
| 383 | D4 | — | 18 | 1 | no | — |
| 384 | D4 | — | 36 | 2 | no | — |
| 385 | D4 | — | 36 | 2 | no | — |
| 386 | D4 | — | 36 | 1 | no | — |
| 387 | C2×C4 | — | 12 | 1 | no | — |
| 388 | C2×C4 | — | 18 | 1 | no | — |
| 389 | C2×C4 | — | 36 | 2 | no | — |
| 390 | C2×C4 | — | 36 | 1 | no | — |
| 391 | C2×C4 | #3811 | 1 | 1 | yes | characteristic |
| 392 | C8 | — | 12 | 1 | no | — |
| 393 | C8 | — | 18 | 1 | no | — |
| 394 | C8 | C2×#626 | 1 | 1 | yes | characteristic |
| 395 | C8 | #3811 | 1 | 1 | yes | characteristic |
| 396 | C2×C3 | — | 2 | 1 | no | — |
| 397 | C2×C3 | — | 2 | 1 | no | — |
| 398 | C2×C3 | — | 2 | 1 | no | — |
| 399 | C2×C3 | — | 4 | 1 | no | — |
| 400 | C2×C3 | — | 8 | 4 | no | — |
| 401 | C2×C3 | — | 8 | 2 | no | — |
| 402 | C2×C3 | — | 8 | 2 | no | — |
| 403 | C2×C3 | #4773 | 1 | 1 | yes | characteristic |
| 404 | C2×C3 | #5156 | 1 | 1 | yes | characteristic |
| 405 | D3 | — | 12 | 2 | no | — |
| 406 | D3 | — | 12 | 1 | no | — |
| 407 | D3 | — | 12 | 1 | no | — |
| 408 | D3 | — | 24 | 2 | no | — |
| 409 | D3 | — | 24 | 1 | no | — |
| 410 | D3 | — | 24 | 1 | no | — |
| 411 | C22 | — | 4 | 2 | no | — |
| 412 | C22 | — | 16 | 1 | no | — |
| 413 | C22 | — | 18 | 1 | no | — |
| 414 | C22 | — | 36 | 1 | no | — |
| 415 | C22 | — | 144 | 2 | no | — |
| 416 | C22 | #63937 | 1 | 1 | yes | characteristic |
| 417 | C4 | — | 18 | 1 | no | — |
| 418 | C4 | — | 24 | 1 | no | — |
| 419 | C4 | — | 36 | 1 | no | — |
| 420 | C4 | #63926 | 1 | 1 | yes | characteristic |
| 421 | C4 | #63981 | 1 | 1 | yes | characteristic |
| 422 | C3 | — | 2 | 1 | no | — |
| 423 | C3 | #69259 | 1 | 1 | yes | characteristic, complemented |
| 424 | C3 | #71490 | 1 | 1 | yes | characteristic, complemented |
| 425 | C2 | — | 2 | 1 | no | — |
| 426 | C2 | — | 8 | 2 | no | — |
| 427 | C2 | — | 36 | 1 | no | — |
| 428 | C2 | — | 72 | 1 | no | — |
| 429 | C2 | #10591456 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×C3×#827 | C2 | semidirect |
| 3. #10590933 | C2 | semidirect |
| 4. #10590642 | C2 | semidirect |
| 5. C3×#4563 | C2 | semidirect |
| 6. #10589122 | C2 | semidirect |
| 7. #10589113 | C2 | semidirect |
| 18. C2×C3×Dic12 | C22 | semidirect |
| 21. C3×#819 | C22 | semidirect |
| 22. C3×#812 | C22 | semidirect |
| 23. C2×C3×C3⋊C16 | C22 | semidirect |
| 33. C2×#827 | D3 | semidirect |
| 37. #4563 | D3 | semidirect |
| 91. C2×Dic12 | C2×D3 | semidirect |
| 107. #819 | C2×D3 | semidirect |
| 108. #812 | C2×D3 | semidirect |
| 109. C2×C3⋊C16 | C2×D3 | semidirect |
| 372. C32 | #2194 | semidirect |
| 423. C3 | #69259 | semidirect |
| 424. C3 | #71490 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596228 | 2 |
| C2×C3×#827 | 2 |
| #10590933 | 2 |
| #10590642 | 2 |
| C3×#4563 | 2 |
| #10589122 | 2 |
| #10589113 | 2 |
| #71490 | 3 |
| #69259 | 3 |