Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
489 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 489 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 | #10594680 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#63626 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10590927 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10590634 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#4510 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#4508 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10589128 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #69242 | — | 3 | 1 | no | maximal |
| 9 | #69126 | — | 3 | 1 | no | maximal |
| 10 | #64308 | — | 2 | 1 | no | — |
| 11 | C2×#3745 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×#3745 | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | C3×#904 | C22 | 1 | 1 | yes | characteristic |
| 14 | C3×#901 | C22 | 1 | 1 | yes | characteristic |
| 15 | #63825 | — | 2 | 1 | no | — |
| 16 | #63825 | — | 2 | 1 | no | — |
| 17 | #63808 | — | 2 | 1 | no | — |
| 18 | #63794 | — | 2 | 2 | no | — |
| 19 | D3×D24 | — | 2 | 1 | no | — |
| 20 | C2×C32×C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #63626 | — | 2 | 2 | no | — |
| 22 | C3×#819 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C3×#812 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #63559 | — | 2 | 1 | no | — |
| 25 | #63549 | — | 2 | 1 | no | — |
| 26 | #63546 | — | 2 | 1 | no | — |
| 27 | #5769 | — | 3 | 1 | no | — |
| 28 | #5752 | — | 3 | 1 | no | — |
| 29 | #5193 | — | 3 | 1 | no | — |
| 30 | #5142 | — | 3 | 1 | no | — |
| 31 | #4908 | — | 3 | 1 | no | — |
| 32 | C2×D48 | — | 3 | 1 | no | — |
| 33 | C2×D48 | — | 3 | 1 | no | — |
| 34 | C2×D48 | — | 6 | 1 | no | — |
| 35 | #4897 | — | 3 | 1 | no | — |
| 36 | C3×#359 | — | 3 | 1 | no | — |
| 37 | C3×#350 | — | 3 | 1 | no | — |
| 38 | #4516 | — | 3 | 1 | no | — |
| 39 | #4510 | D3 | 1 | 1 | yes | characteristic, complemented |
| 40 | #4508 | D3 | 1 | 1 | yes | characteristic, complemented |
| 41 | #4495 | — | 3 | 1 | no | — |
| 42 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 43 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 44 | C3×#235 | — | 2 | 1 | no | — |
| 45 | C3×#235 | D4 | 1 | 1 | yes | characteristic |
| 46 | #3811 | — | 4 | 2 | no | — |
| 47 | D3×D12 | — | 2 | 2 | no | — |
| 48 | D3×D12 | — | 4 | 1 | no | — |
| 49 | #3799 | — | 2 | 2 | no | — |
| 50 | #3799 | — | 4 | 1 | no | — |
| 51 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 52 | #3745 | — | 2 | 1 | no | — |
| 53 | #3745 | — | 2 | 1 | no | — |
| 54 | #3745 | — | 2 | 1 | no | — |
| 55 | #3745 | D4 | 1 | 2 | yes | — |
| 56 | C3×#208 | — | 2 | 1 | no | — |
| 57 | C3×#208 | D4 | 1 | 1 | yes | characteristic |
| 58 | C3×Dic12 | D4 | 1 | 1 | yes | characteristic |
| 59 | C3×D24 | D4 | 1 | 1 | yes | characteristic |
| 60 | C3×#204 | — | 2 | 1 | no | — |
| 61 | C3×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 62 | C3×D3×C8 | — | 2 | 1 | no | — |
| 63 | #3717 | — | 2 | 2 | no | — |
| 64 | #3717 | — | 4 | 1 | no | — |
| 65 | #3714 | — | 2 | 2 | no | — |
| 66 | #3714 | — | 4 | 1 | no | — |
| 67 | C32×C16 | — | 2 | 1 | no | — |
| 68 | C3×C3⋊C16 | — | 2 | 1 | no | — |
| 69 | #2192 | — | 9 | 1 | no | Sylow |
| 70 | #1009 | — | 6 | 1 | no | — |
| 71 | #1009 | — | 6 | 1 | no | — |
| 72 | C3×#135 | — | 3 | 1 | no | — |
| 73 | C3×#131 | — | 3 | 1 | no | — |
| 74 | #949 | — | 6 | 1 | no | — |
| 75 | #949 | — | 6 | 1 | no | — |
| 76 | #919 | — | 6 | 1 | no | — |
| 77 | #914 | — | 6 | 2 | no | — |
| 78 | D3×D8 | — | 6 | 1 | no | — |
| 79 | #908 | — | 6 | 2 | no | — |
| 80 | #908 | — | 6 | 1 | no | — |
| 81 | #908 | — | 6 | 1 | no | — |
| 82 | #904 | — | 6 | 1 | no | — |
| 83 | #904 | C2×D3 | 1 | 1 | yes | characteristic |
| 84 | C2×D24 | — | 3 | 1 | no | — |
| 85 | C2×D24 | — | 3 | 1 | no | — |
| 86 | C2×D24 | — | 3 | 1 | no | — |
| 87 | C2×D24 | — | 3 | 1 | no | — |
| 88 | C2×D24 | — | 6 | 1 | no | — |
| 89 | C2×D24 | — | 6 | 1 | no | — |
| 90 | C2×D24 | — | 6 | 1 | no | — |
| 91 | #901 | C2×D3 | 1 | 1 | yes | characteristic |
| 92 | C3×M32 | — | 3 | 1 | no | — |
| 93 | C2×C3×C16 | — | 2 | 1 | no | — |
| 94 | C2×C3×C16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 95 | C2×C3×C16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 96 | C3×#108 | — | 3 | 1 | no | — |
| 97 | #828 | — | 6 | 1 | no | — |
| 98 | #826 | — | 6 | 1 | no | — |
| 99 | #823 | — | 6 | 1 | no | — |
| 100 | #823 | — | 6 | 1 | no | — |
| 101 | #819 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 102 | #812 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 103 | #800 | — | 6 | 1 | no | — |
| 104 | D48 | — | 6 | 2 | no | — |
| 105 | D48 | — | 6 | 2 | no | — |
| 106 | D48 | — | 6 | 4 | no | — |
| 107 | D48 | — | 6 | 1 | no | — |
| 108 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 109 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 110 | C2×D32 | — | 4 | 2 | no | — |
| 111 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 112 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 113 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 114 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 115 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 116 | C3×#67 | — | 2 | 1 | no | — |
| 117 | C3×#67 | — | 4 | 1 | no | — |
| 118 | C3×D12 | — | 2 | 1 | no | — |
| 119 | C3×D12 | D8 | 1 | 1 | yes | characteristic |
| 120 | C3×C4×D3 | — | 2 | 1 | no | — |
| 121 | C3×C4×D3 | — | 4 | 1 | no | — |
| 122 | C3×Dic6 | — | 2 | 1 | no | — |
| 123 | C3×Dic6 | D8 | 1 | 1 | yes | characteristic |
| 124 | #626 | — | 4 | 2 | no | — |
| 125 | #626 | — | 4 | 2 | no | — |
| 126 | #624 | — | 4 | 2 | no | — |
| 127 | C32×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C32×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 129 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 130 | C3×C3⋊C8 | — | 4 | 1 | no | — |
| 131 | #576 | — | 9 | 1 | no | — |
| 132 | #509 | — | 9 | 1 | no | — |
| 133 | C2×D16 | — | 9 | 1 | no | — |
| 134 | #472 | — | 9 | 1 | no | — |
| 135 | #361 | — | 9 | 1 | no | — |
| 136 | #359 | — | 3 | 1 | no | — |
| 137 | #350 | — | 3 | 1 | no | — |
| 138 | C3×#41 | — | 3 | 1 | no | — |
| 139 | C3×#41 | — | 6 | 1 | no | — |
| 140 | #239 | — | 6 | 2 | no | — |
| 141 | #239 | — | 12 | 1 | no | — |
| 142 | D3×D4 | — | 6 | 2 | no | — |
| 143 | D3×D4 | — | 12 | 1 | no | — |
| 144 | D3×D4 | — | 12 | 2 | no | — |
| 145 | D3×D4 | — | 12 | 2 | no | — |
| 146 | #235 | — | 2 | 1 | no | — |
| 147 | #235 | — | 6 | 2 | no | — |
| 148 | #235 | — | 12 | 1 | no | — |
| 149 | #235 | D12 | 1 | 1 | yes | characteristic |
| 150 | C2×D12 | — | 6 | 2 | no | — |
| 151 | C2×D12 | — | 6 | 1 | no | — |
| 152 | C2×D12 | — | 6 | 1 | no | — |
| 153 | C2×D12 | — | 6 | 1 | no | — |
| 154 | C2×D12 | — | 6 | 1 | no | — |
| 155 | C2×D12 | — | 12 | 1 | no | — |
| 156 | C2×D12 | — | 12 | 1 | no | — |
| 157 | C2×D12 | — | 12 | 1 | no | — |
| 158 | C3×Q16 | — | 3 | 1 | no | — |
| 159 | C3×SD16 | — | 6 | 1 | no | — |
| 160 | C3×D8 | — | 3 | 1 | no | — |
| 161 | C3×M16 | — | 3 | 1 | no | — |
| 162 | C3×M16 | — | 6 | 1 | no | — |
| 163 | C3×M16 | — | 6 | 1 | no | — |
| 164 | C2×C3×C8 | — | 2 | 1 | no | — |
| 165 | C2×C3×C8 | — | 6 | 1 | no | — |
| 166 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 167 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 168 | #215 | — | 6 | 2 | no | — |
| 169 | #215 | — | 12 | 1 | no | — |
| 170 | #213 | — | 6 | 2 | no | — |
| 171 | #213 | — | 12 | 1 | no | — |
| 172 | #208 | — | 2 | 1 | no | — |
| 173 | #208 | D12 | 1 | 1 | yes | characteristic |
| 174 | Dic12 | D12 | 1 | 1 | yes | characteristic |
| 175 | D24 | — | 3 | 2 | no | — |
| 176 | D24 | — | 3 | 2 | no | — |
| 177 | D24 | — | 6 | 2 | no | — |
| 178 | D24 | — | 6 | 2 | no | — |
| 179 | D24 | — | 6 | 2 | no | — |
| 180 | D24 | — | 6 | 1 | no | — |
| 181 | D24 | — | 6 | 1 | no | — |
| 182 | D24 | — | 6 | 1 | no | — |
| 183 | D24 | — | 6 | 1 | no | — |
| 184 | D24 | — | 6 | 1 | no | — |
| 185 | D24 | — | 6 | 1 | no | — |
| 186 | D24 | — | 12 | 1 | no | — |
| 187 | D24 | — | 12 | 1 | no | — |
| 188 | D24 | — | 12 | 1 | no | — |
| 189 | D24 | D12 | 1 | 1 | yes | characteristic |
| 190 | #204 | — | 2 | 1 | no | — |
| 191 | #204 | — | 6 | 2 | no | — |
| 192 | #204 | — | 12 | 1 | no | — |
| 193 | ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 194 | D3×C8 | — | 2 | 1 | no | — |
| 195 | C3×C16 | — | 2 | 2 | no | — |
| 196 | C3×C16 | — | 2 | 1 | no | — |
| 197 | C3×C16 | — | 2 | 1 | no | — |
| 198 | C3×C16 | — | 6 | 1 | no | — |
| 199 | C3⋊C16 | — | 2 | 1 | no | — |
| 200 | C22×C32 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 201 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 202 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 203 | C2×C3⋊D3 | — | 16 | 1 | no | — |
| 204 | C2×C3⋊D3 | — | 16 | 1 | no | — |
| 205 | C2×C3×D3 | — | 2 | 1 | no | — |
| 206 | C2×C3×D3 | — | 4 | 1 | no | — |
| 207 | D32 | — | 16 | 2 | no | — |
| 208 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 209 | C32×C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 210 | C3×Dic3 | — | 2 | 1 | no | — |
| 211 | C3×Dic3 | — | 4 | 1 | no | — |
| 212 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 213 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 214 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 215 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 216 | #135 | — | 3 | 1 | no | — |
| 217 | #135 | — | 18 | 1 | no | — |
| 218 | C2×D8 | — | 9 | 1 | no | — |
| 219 | C2×D8 | — | 9 | 1 | no | — |
| 220 | C2×D8 | — | 18 | 1 | no | — |
| 221 | #131 | — | 3 | 1 | no | — |
| 222 | SD32 | — | 18 | 1 | no | — |
| 223 | D16 | — | 18 | 2 | no | — |
| 224 | D16 | — | 18 | 1 | no | — |
| 225 | M32 | — | 3 | 1 | no | — |
| 226 | C2×C16 | D32 | 1 | 1 | yes | characteristic, complemented |
| 227 | #108 | — | 3 | 1 | no | — |
| 228 | #100 | — | 18 | 1 | no | — |
| 229 | C22×D3 | — | 12 | 2 | no | — |
| 230 | C22×D3 | — | 12 | 2 | no | — |
| 231 | C22×D3 | — | 12 | 1 | no | — |
| 232 | C22×D3 | — | 12 | 1 | no | — |
| 233 | C22×D3 | — | 12 | 1 | no | — |
| 234 | C22×D3 | — | 12 | 1 | no | — |
| 235 | C22×D3 | — | 24 | 1 | no | — |
| 236 | C22×D3 | — | 24 | 1 | no | — |
| 237 | C3×Q8 | — | 3 | 1 | no | — |
| 238 | C3×Q8 | — | 6 | 1 | no | — |
| 239 | C3×D4 | — | 3 | 1 | no | — |
| 240 | C3×D4 | — | 6 | 1 | no | — |
| 241 | C3×D4 | — | 6 | 1 | no | — |
| 242 | C3×D4 | — | 12 | 1 | no | — |
| 243 | C2×C3×C4 | — | 2 | 1 | no | — |
| 244 | C2×C3×C4 | — | 6 | 1 | no | — |
| 245 | C2×C3×C4 | — | 12 | 1 | no | — |
| 246 | C2×C3×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 247 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 248 | #67 | — | 2 | 1 | no | — |
| 249 | #67 | — | 4 | 1 | no | — |
| 250 | #67 | — | 12 | 2 | no | — |
| 251 | #67 | — | 12 | 2 | no | — |
| 252 | D12 | — | 2 | 1 | no | — |
| 253 | D12 | — | 6 | 2 | no | — |
| 254 | D12 | — | 6 | 2 | no | — |
| 255 | D12 | — | 12 | 2 | no | — |
| 256 | D12 | — | 12 | 2 | no | — |
| 257 | D12 | — | 12 | 2 | no | — |
| 258 | D12 | — | 12 | 2 | no | — |
| 259 | D12 | — | 12 | 1 | no | — |
| 260 | D12 | — | 12 | 1 | no | — |
| 261 | D12 | — | 12 | 1 | no | — |
| 262 | D12 | — | 12 | 1 | no | — |
| 263 | D12 | — | 12 | 1 | no | — |
| 264 | D12 | — | 12 | 1 | no | — |
| 265 | D12 | — | 24 | 1 | no | — |
| 266 | D12 | — | 24 | 1 | no | — |
| 267 | D12 | D24 | 1 | 1 | yes | characteristic |
| 268 | C4×D3 | — | 2 | 1 | no | — |
| 269 | C4×D3 | — | 4 | 1 | no | — |
| 270 | C4×D3 | — | 12 | 2 | no | — |
| 271 | C4×D3 | — | 12 | 2 | no | — |
| 272 | Dic6 | — | 2 | 1 | no | — |
| 273 | Dic6 | D24 | 1 | 1 | yes | characteristic |
| 274 | C3×C8 | — | 2 | 1 | no | — |
| 275 | C3×C8 | — | 2 | 1 | no | — |
| 276 | C3×C8 | — | 6 | 1 | no | — |
| 277 | C3×C8 | — | 12 | 1 | no | — |
| 278 | C3×C8 | C2×D12 | 1 | 1 | yes | characteristic |
| 279 | C3×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 280 | C3×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 281 | C3×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 282 | C3⋊C8 | — | 2 | 1 | no | — |
| 283 | C3⋊C8 | — | 4 | 1 | no | — |
| 284 | C2×C32 | — | 2 | 1 | no | — |
| 285 | C2×C32 | #447 | 1 | 1 | yes | characteristic |
| 286 | C3⋊D3 | — | 8 | 2 | no | — |
| 287 | C3⋊D3 | — | 16 | 1 | no | — |
| 288 | C3×D3 | — | 4 | 1 | no | — |
| 289 | C3×D3 | — | 8 | 1 | no | — |
| 290 | #41 | — | 3 | 1 | no | — |
| 291 | #41 | — | 6 | 1 | no | — |
| 292 | #41 | — | 18 | 2 | no | — |
| 293 | #41 | — | 36 | 1 | no | — |
| 294 | C2×D4 | — | 18 | 2 | no | — |
| 295 | C2×D4 | — | 18 | 1 | no | — |
| 296 | C2×D4 | — | 18 | 1 | no | — |
| 297 | C2×D4 | — | 36 | 1 | no | — |
| 298 | C2×D4 | — | 36 | 2 | no | — |
| 299 | Q16 | — | 3 | 1 | no | — |
| 300 | SD16 | — | 6 | 1 | no | — |
| 301 | SD16 | — | 18 | 2 | no | — |
| 302 | SD16 | — | 36 | 1 | no | — |
| 303 | D8 | — | 3 | 1 | no | — |
| 304 | D8 | — | 9 | 2 | no | — |
| 305 | D8 | — | 18 | 2 | no | — |
| 306 | D8 | — | 18 | 1 | no | — |
| 307 | D8 | — | 18 | 1 | no | — |
| 308 | D8 | — | 18 | 1 | no | — |
| 309 | D8 | — | 36 | 1 | no | — |
| 310 | M16 | — | 3 | 1 | no | — |
| 311 | M16 | — | 6 | 1 | no | — |
| 312 | M16 | — | 6 | 1 | no | — |
| 313 | C2×C8 | — | 6 | 1 | no | — |
| 314 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 315 | C16 | — | 2 | 1 | no | — |
| 316 | C16 | — | 6 | 1 | no | — |
| 317 | C22×C3 | — | 2 | 1 | no | — |
| 318 | C22×C3 | — | 6 | 1 | no | — |
| 319 | C22×C3 | — | 12 | 1 | no | — |
| 320 | C22×C3 | #908 | 1 | 1 | yes | characteristic |
| 321 | C22×C3 | #914 | 1 | 1 | yes | characteristic |
| 322 | C2×D3 | — | 2 | 1 | no | — |
| 323 | C2×D3 | — | 4 | 1 | no | — |
| 324 | C2×D3 | — | 12 | 2 | no | — |
| 325 | C2×D3 | — | 12 | 2 | no | — |
| 326 | C2×D3 | — | 24 | 2 | no | — |
| 327 | C2×D3 | — | 24 | 2 | no | — |
| 328 | C2×D3 | — | 24 | 1 | no | — |
| 329 | C2×D3 | — | 24 | 1 | no | — |
| 330 | C2×D3 | — | 48 | 2 | no | — |
| 331 | C2×D3 | — | 48 | 2 | no | — |
| 332 | C2×D3 | — | 48 | 1 | no | — |
| 333 | C2×D3 | — | 48 | 1 | no | — |
| 334 | C2×D3 | — | 48 | 2 | no | — |
| 335 | C2×D3 | — | 48 | 2 | no | — |
| 336 | C2×D3 | — | 48 | 1 | no | — |
| 337 | C2×D3 | — | 48 | 1 | no | — |
| 338 | C3×C4 | — | 2 | 1 | no | — |
| 339 | C3×C4 | — | 2 | 1 | no | — |
| 340 | C3×C4 | — | 6 | 1 | no | — |
| 341 | C3×C4 | — | 12 | 1 | no | — |
| 342 | C3×C4 | #882 | 1 | 1 | yes | characteristic |
| 343 | C3×C4 | #882 | 1 | 1 | yes | characteristic |
| 344 | C3×C4 | C2×D24 | 1 | 1 | yes | characteristic |
| 345 | C3×C4 | D3×D8 | 1 | 1 | yes | characteristic |
| 346 | Dic3 | — | 2 | 1 | no | — |
| 347 | Dic3 | — | 4 | 1 | no | — |
| 348 | C32 | #2192 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 349 | C23 | — | 36 | 2 | no | — |
| 350 | C23 | — | 36 | 1 | no | — |
| 351 | C23 | — | 36 | 1 | no | — |
| 352 | Q8 | — | 3 | 1 | no | — |
| 353 | Q8 | — | 6 | 1 | no | — |
| 354 | D4 | — | 3 | 1 | no | — |
| 355 | D4 | — | 6 | 1 | no | — |
| 356 | D4 | — | 6 | 1 | no | — |
| 357 | D4 | — | 12 | 1 | no | — |
| 358 | D4 | — | 18 | 2 | no | — |
| 359 | D4 | — | 36 | 2 | no | — |
| 360 | D4 | — | 36 | 2 | no | — |
| 361 | D4 | — | 36 | 1 | no | — |
| 362 | D4 | — | 36 | 1 | no | — |
| 363 | D4 | — | 36 | 1 | no | — |
| 364 | C2×C4 | — | 6 | 1 | no | — |
| 365 | C2×C4 | — | 12 | 1 | no | — |
| 366 | C2×C4 | — | 36 | 2 | no | — |
| 367 | C2×C4 | D3×D12 | 1 | 1 | yes | characteristic |
| 368 | C8 | — | 6 | 1 | no | — |
| 369 | C8 | — | 12 | 1 | no | — |
| 370 | C8 | D3×D12 | 1 | 1 | yes | characteristic |
| 371 | C8 | #3811 | 1 | 1 | yes | characteristic |
| 372 | C2×C3 | — | 2 | 2 | no | — |
| 373 | C2×C3 | — | 2 | 1 | no | — |
| 374 | C2×C3 | — | 2 | 1 | no | — |
| 375 | C2×C3 | — | 2 | 1 | no | — |
| 376 | C2×C3 | — | 12 | 1 | no | — |
| 377 | C2×C3 | — | 24 | 1 | no | — |
| 378 | C2×C3 | #4732 | 1 | 1 | yes | characteristic |
| 379 | C2×C3 | #4773 | 1 | 1 | yes | characteristic |
| 380 | D3 | — | 4 | 1 | no | — |
| 381 | D3 | — | 8 | 1 | no | — |
| 382 | D3 | — | 24 | 2 | no | — |
| 383 | D3 | — | 24 | 2 | no | — |
| 384 | D3 | — | 48 | 2 | no | — |
| 385 | D3 | — | 48 | 2 | no | — |
| 386 | D3 | — | 48 | 1 | no | — |
| 387 | D3 | — | 48 | 1 | no | — |
| 388 | C22 | — | 6 | 1 | no | — |
| 389 | C22 | — | 12 | 1 | no | — |
| 390 | C22 | — | 36 | 2 | no | — |
| 391 | C22 | — | 72 | 1 | no | — |
| 392 | C22 | — | 144 | 1 | no | — |
| 393 | C22 | — | 144 | 1 | no | — |
| 394 | C22 | — | 144 | 2 | no | — |
| 395 | C22 | #63794 | 1 | 1 | yes | characteristic |
| 396 | C4 | — | 6 | 1 | no | — |
| 397 | C4 | — | 12 | 1 | no | — |
| 398 | C4 | D3×D24 | 1 | 1 | yes | characteristic |
| 399 | C4 | #63923 | 1 | 1 | yes | characteristic |
| 400 | C3 | — | 2 | 1 | no | — |
| 401 | C3 | #69126 | 1 | 1 | yes | characteristic, complemented |
| 402 | C3 | #69242 | 1 | 1 | yes | characteristic, complemented |
| 403 | C2 | — | 2 | 1 | no | — |
| 404 | C2 | — | 12 | 1 | no | — |
| 405 | C2 | — | 24 | 1 | no | — |
| 406 | C2 | — | 72 | 2 | no | — |
| 407 | C2 | — | 144 | 1 | no | — |
| 408 | C2 | #10590947 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10594680 | C2 | semidirect |
| 2. C2×#63626 | C2 | semidirect |
| 3. #10590927 | C2 | semidirect |
| 4. #10590634 | C2 | semidirect |
| 5. C3×#4510 | C2 | semidirect |
| 6. C3×#4508 | C2 | semidirect |
| 7. #10589128 | C2 | semidirect |
| 12. C2×#3745 | C22 | semidirect |
| 20. C2×C32×C16 | C22 | semidirect |
| 22. C3×#819 | C22 | semidirect |
| 23. C3×#812 | C22 | semidirect |
| 39. #4510 | D3 | semidirect |
| 40. #4508 | D3 | semidirect |
| 94. C2×C3×C16 | C2×D3 | semidirect |
| 95. C2×C3×C16 | C2×D3 | semidirect |
| 101. #819 | C2×D3 | semidirect |
| 102. #812 | C2×D3 | semidirect |
| 226. C2×C16 | D32 | semidirect |
| 348. C32 | #2192 | semidirect |
| 401. C3 | #69126 | semidirect |
| 402. C3 | #69242 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10594680 | 2 |
| C2×#63626 | 2 |
| #10590927 | 2 |
| #10590634 | 2 |
| C3×#4510 | 2 |
| C3×#4508 | 2 |
| #10589128 | 2 |
| #69242 | 3 |
| #69126 | 3 |