Finite Group DatabasebetaFinite Group DatabasebetaOrder 2304.
1152 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 1152 conjugacy classes of subgroups — too many to draw. Only its 106 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 | #11874467 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11797399 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #11772036 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C3×#67791 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10706716 | — | 3 | 2 | no | maximal |
| 6 | C2×#64120 | — | 2 | 2 | no | — |
| 7 | #10596187 | C4 | 1 | 1 | yes | characteristic |
| 8 | C3⋊D3×#127 | C4 | 1 | 1 | yes | characteristic |
| 9 | C32×#493 | C22 | 1 | 1 | yes | characteristic |
| 10 | #10592853 | — | 2 | 2 | no | — |
| 11 | #10592775 | C4 | 1 | 1 | yes | characteristic |
| 12 | #10592772 | C4 | 1 | 1 | yes | characteristic |
| 13 | #10592392 | C22 | 1 | 1 | yes | characteristic |
| 14 | C4×#3743 | C22 | 1 | 1 | yes | characteristic |
| 15 | C3×#4463 | C22 | 1 | 4 | yes | complemented |
| 16 | #10589110 | — | 2 | 2 | no | — |
| 17 | #10589106 | — | 2 | 2 | no | — |
| 18 | #81783 | — | 3 | 2 | no | — |
| 19 | #81783 | — | 6 | 1 | no | — |
| 20 | #69298 | — | 3 | 4 | no | — |
| 21 | C3×#1357 | — | 3 | 2 | no | — |
| 22 | #67791 | D3 | 1 | 2 | yes | complemented |
| 23 | #67570 | — | 3 | 4 | no | — |
| 24 | C2×#3830 | — | 2 | 1 | no | — |
| 25 | C2×D4×C3⋊D3 | — | 2 | 1 | no | — |
| 26 | C2×D4×C3⋊D3 | — | 4 | 1 | no | — |
| 27 | C2×C32×D8 | — | 2 | 2 | no | — |
| 28 | C32×#127 | C2×C4 | 1 | 1 | yes | characteristic |
| 29 | C32×#127 | C2×C4 | 1 | 1 | yes | characteristic |
| 30 | #64149 | — | 2 | 1 | no | — |
| 31 | #64149 | — | 4 | 1 | no | — |
| 32 | #64147 | — | 4 | 1 | no | — |
| 33 | #64145 | — | 2 | 1 | no | — |
| 34 | D4×C3⋊Dic3 | — | 4 | 1 | no | — |
| 35 | C2×#3754 | — | 2 | 2 | no | — |
| 36 | C2×#3753 | — | 2 | 2 | no | — |
| 37 | #64120 | — | 4 | 8 | no | — |
| 38 | C2×#3744 | — | 2 | 2 | no | — |
| 39 | C2×#3743 | D4 | 1 | 2 | yes | — |
| 40 | #64083 | C2×C4 | 1 | 1 | yes | characteristic |
| 41 | C42×C3⋊D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 42 | #64078 | C2×C4 | 1 | 1 | yes | characteristic |
| 43 | C32×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 44 | #63642 | D4 | 1 | 2 | yes | — |
| 45 | C4×C3⋊(C3⋊C8) | C2×C4 | 1 | 1 | yes | characteristic |
| 46 | C3×#812 | — | 2 | 4 | no | — |
| 47 | #11992 | — | 9 | 1 | no | Sylow |
| 48 | C2×#911 | — | 6 | 4 | no | — |
| 49 | C2×#911 | — | 6 | 4 | no | — |
| 50 | #5716 | — | 3 | 2 | no | — |
| 51 | #5716 | — | 6 | 1 | no | — |
| 52 | D3×#127 | — | 3 | 2 | no | — |
| 53 | D3×#127 | — | 6 | 1 | no | — |
| 54 | C3×#493 | — | 2 | 1 | no | — |
| 55 | C3×#493 | C2×D3 | 1 | 2 | yes | — |
| 56 | #5154 | — | 6 | 4 | no | — |
| 57 | #5154 | — | 6 | 4 | no | — |
| 58 | #5076 | — | 3 | 2 | no | — |
| 59 | #5076 | — | 6 | 1 | no | — |
| 60 | #5073 | — | 3 | 2 | no | — |
| 61 | #5073 | — | 6 | 1 | no | — |
| 62 | #4693 | — | 3 | 2 | no | — |
| 63 | #4693 | — | 6 | 1 | no | — |
| 64 | C4×ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 65 | C4×ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 66 | C3×#364 | — | 3 | 4 | no | — |
| 67 | #4514 | — | 6 | 4 | no | — |
| 68 | #4512 | — | 6 | 4 | no | — |
| 69 | #4463 | C2×D3 | 1 | 4 | yes | complemented |
| 70 | C23×C3⋊D3 | — | 4 | 1 | no | — |
| 71 | C2×C32×D4 | — | 2 | 1 | no | — |
| 72 | C2×C32×D4 | — | 2 | 1 | no | — |
| 73 | C2×C32×D4 | — | 4 | 1 | no | — |
| 74 | C2×C32×D4 | — | 4 | 1 | no | — |
| 75 | C2×#638 | — | 4 | 2 | no | — |
| 76 | C2×#638 | — | 4 | 1 | no | — |
| 77 | C2×#638 | — | 4 | 1 | no | — |
| 78 | C22×C3⋊Dic3 | — | 4 | 1 | no | — |
| 79 | #3830 | — | 4 | 4 | no | — |
| 80 | D4×C3⋊D3 | — | 4 | 4 | no | — |
| 81 | D4×C3⋊D3 | — | 8 | 4 | no | — |
| 82 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 83 | C2×C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 84 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 85 | C2×C4×C3⋊D3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 86 | C2×#634 | — | 2 | 1 | no | — |
| 87 | C32×D8 | — | 4 | 4 | no | — |
| 88 | C2×C32×C8 | C2×D4 | 1 | 2 | yes | — |
| 89 | C32×C42 | C22×C4 | 1 | 1 | yes | characteristic |
| 90 | #3757 | — | 4 | 2 | no | — |
| 91 | #3754 | — | 4 | 4 | no | — |
| 92 | #3753 | — | 4 | 4 | no | — |
| 93 | C4⋊(C3⋊Dic3) | — | 4 | 1 | no | — |
| 94 | C4×C3⋊Dic3 | — | 2 | 1 | no | — |
| 95 | C4×C3⋊Dic3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 96 | C2×C3⋊(C3⋊C8) | C22⋊C4 | 1 | 2 | yes | — |
| 97 | #3744 | — | 4 | 4 | no | — |
| 98 | #3743 | — | 2 | 4 | no | — |
| 99 | C3×C3⋊C16 | — | 4 | 4 | no | — |
| 100 | #3151 | — | 9 | 1 | no | — |
| 101 | #2165 | — | 9 | 2 | no | — |
| 102 | #1359 | — | 9 | 2 | no | — |
| 103 | #1357 | — | 3 | 2 | no | — |
| 104 | C2×#237 | — | 6 | 2 | no | — |
| 105 | C2×#237 | — | 6 | 2 | no | — |
| 106 | C2×D3×D4 | — | 6 | 2 | no | — |
| 107 | C2×D3×D4 | — | 6 | 2 | no | — |
| 108 | C2×D3×D4 | — | 12 | 2 | no | — |
| 109 | C2×D3×D4 | — | 12 | 2 | no | — |
| 110 | C2×C3×D8 | — | 2 | 4 | no | — |
| 111 | C2×C3×D8 | — | 2 | 4 | no | — |
| 112 | C3×#127 | — | 2 | 1 | no | — |
| 113 | C3×#127 | — | 2 | 1 | no | — |
| 114 | C3×#127 | C4×D3 | 1 | 2 | yes | — |
| 115 | C3×#127 | C4×D3 | 1 | 2 | yes | — |
| 116 | #940 | — | 6 | 2 | no | — |
| 117 | #940 | — | 6 | 2 | no | — |
| 118 | #940 | — | 12 | 2 | no | — |
| 119 | #940 | — | 12 | 2 | no | — |
| 120 | #938 | — | 12 | 2 | no | — |
| 121 | #938 | — | 12 | 2 | no | — |
| 122 | #936 | — | 6 | 2 | no | — |
| 123 | #936 | — | 6 | 2 | no | — |
| 124 | D4×Dic3 | — | 12 | 2 | no | — |
| 125 | D4×Dic3 | — | 12 | 2 | no | — |
| 126 | C2×#214 | — | 6 | 4 | no | — |
| 127 | C2×#214 | — | 6 | 4 | no | — |
| 128 | C2×#213 | — | 6 | 4 | no | — |
| 129 | C2×#213 | — | 6 | 4 | no | — |
| 130 | #911 | — | 12 | 16 | no | — |
| 131 | #911 | — | 12 | 8 | no | — |
| 132 | #911 | — | 12 | 8 | no | — |
| 133 | C2×#204 | — | 6 | 4 | no | — |
| 134 | C2×#204 | — | 6 | 4 | no | — |
| 135 | C2×ΓL(1,𝔽25) | — | 3 | 4 | no | — |
| 136 | C2×ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 137 | #874 | — | 3 | 2 | no | — |
| 138 | #874 | — | 6 | 1 | no | — |
| 139 | C42×D3 | — | 3 | 2 | no | — |
| 140 | C42×D3 | — | 6 | 1 | no | — |
| 141 | #869 | — | 3 | 2 | no | — |
| 142 | #869 | — | 6 | 1 | no | — |
| 143 | C3×M32 | — | 6 | 4 | no | — |
| 144 | C3×C4×C8 | — | 2 | 1 | no | — |
| 145 | C3×C4×C8 | C22×D3 | 1 | 2 | yes | — |
| 146 | #815 | — | 3 | 4 | no | — |
| 147 | #815 | — | 6 | 2 | no | — |
| 148 | #812 | — | 2 | 4 | no | — |
| 149 | C4×C3⋊C8 | — | 3 | 2 | no | — |
| 150 | C4×C3⋊C8 | — | 6 | 1 | no | — |
| 151 | C23×C32 | — | 4 | 1 | no | — |
| 152 | C23×C32 | — | 4 | 1 | no | — |
| 153 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 154 | C22×C3⋊D3 | — | 8 | 2 | no | — |
| 155 | C22×C3⋊D3 | — | 8 | 4 | no | — |
| 156 | C22×C3⋊D3 | #100 | 1 | 1 | yes | characteristic |
| 157 | C32×D4 | — | 4 | 2 | no | — |
| 158 | C32×D4 | — | 4 | 2 | no | — |
| 159 | C32×D4 | — | 8 | 2 | no | — |
| 160 | C32×D4 | — | 8 | 2 | no | — |
| 161 | C2×C32×C4 | — | 2 | 1 | no | — |
| 162 | C2×C32×C4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 163 | #638 | — | 8 | 2 | no | — |
| 164 | #638 | — | 8 | 4 | no | — |
| 165 | #638 | — | 8 | 2 | no | — |
| 166 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 167 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 168 | C2×C3⋊Dic3 | — | 8 | 2 | no | — |
| 169 | C2×C3⋊Dic3 | #100 | 1 | 1 | yes | characteristic |
| 170 | C4⋊(C3⋊D3) | — | 4 | 2 | no | — |
| 171 | C4⋊(C3⋊D3) | — | 8 | 2 | no | — |
| 172 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 173 | C4×C3⋊D3 | — | 4 | 2 | no | — |
| 174 | #634 | — | 4 | 2 | no | — |
| 175 | C32×C8 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 176 | C3⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 177 | C2×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 178 | #532 | — | 9 | 1 | no | — |
| 179 | C2×#127 | — | 9 | 1 | no | — |
| 180 | #496 | — | 18 | 2 | no | — |
| 181 | #493 | — | 9 | 1 | no | — |
| 182 | #493 | D32 | 1 | 1 | yes | characteristic |
| 183 | #492 | — | 9 | 1 | no | — |
| 184 | #492 | — | 9 | 1 | no | — |
| 185 | C4×M16 | — | 9 | 1 | no | — |
| 186 | #364 | — | 3 | 4 | no | — |
| 187 | #349 | — | 18 | 2 | no | — |
| 188 | #347 | — | 18 | 2 | no | — |
| 189 | C23×D3 | — | 12 | 2 | no | — |
| 190 | C23×D3 | — | 12 | 2 | no | — |
| 191 | C2×C3×D4 | — | 2 | 2 | no | — |
| 192 | C2×C3×D4 | — | 2 | 2 | no | — |
| 193 | C2×C3×D4 | — | 2 | 2 | no | — |
| 194 | C2×C3×D4 | — | 2 | 2 | no | — |
| 195 | C2×C3×D4 | — | 4 | 2 | no | — |
| 196 | C2×C3×D4 | — | 4 | 2 | no | — |
| 197 | C2×C3×D4 | — | 4 | 2 | no | — |
| 198 | C2×C3×D4 | — | 4 | 2 | no | — |
| 199 | C2×#67 | — | 12 | 2 | no | — |
| 200 | C2×#67 | — | 12 | 4 | no | — |
| 201 | C2×#67 | — | 12 | 4 | no | — |
| 202 | C2×#67 | — | 12 | 2 | no | — |
| 203 | C2×#67 | — | 12 | 2 | no | — |
| 204 | C2×#67 | — | 12 | 2 | no | — |
| 205 | C22×Dic3 | — | 12 | 2 | no | — |
| 206 | C22×Dic3 | — | 12 | 2 | no | — |
| 207 | #237 | — | 12 | 8 | no | — |
| 208 | #237 | — | 12 | 8 | no | — |
| 209 | D3×D4 | — | 12 | 8 | no | — |
| 210 | D3×D4 | — | 12 | 8 | no | — |
| 211 | D3×D4 | — | 24 | 8 | no | — |
| 212 | D3×D4 | — | 24 | 8 | no | — |
| 213 | C2×D12 | — | 6 | 2 | no | — |
| 214 | C2×D12 | — | 6 | 2 | no | — |
| 215 | C2×D12 | — | 12 | 2 | no | — |
| 216 | C2×D12 | — | 12 | 2 | no | — |
| 217 | C2×C4×D3 | — | 3 | 2 | no | — |
| 218 | C2×C4×D3 | — | 6 | 1 | no | — |
| 219 | C2×C4×D3 | — | 6 | 2 | no | — |
| 220 | C2×C4×D3 | — | 6 | 2 | no | — |
| 221 | C2×Dic6 | — | 6 | 2 | no | — |
| 222 | C2×Dic6 | — | 6 | 2 | no | — |
| 223 | C3×D8 | — | 4 | 8 | no | — |
| 224 | C3×D8 | — | 4 | 4 | no | — |
| 225 | C3×D8 | — | 4 | 4 | no | — |
| 226 | C2×C3×C8 | — | 2 | 2 | no | — |
| 227 | C2×C3×C8 | D3×D4 | 1 | 4 | yes | — |
| 228 | C3×C42 | — | 2 | 1 | no | — |
| 229 | C3×C42 | C2×C4×D3 | 1 | 2 | yes | — |
| 230 | #217 | — | 12 | 4 | no | — |
| 231 | #217 | — | 12 | 4 | no | — |
| 232 | #214 | — | 12 | 8 | no | — |
| 233 | #214 | — | 12 | 8 | no | — |
| 234 | #213 | — | 12 | 8 | no | — |
| 235 | #213 | — | 12 | 8 | no | — |
| 236 | C4⋊Dic3 | — | 12 | 2 | no | — |
| 237 | C4⋊Dic3 | — | 12 | 2 | no | — |
| 238 | C4×Dic3 | — | 3 | 2 | no | — |
| 239 | C4×Dic3 | — | 6 | 1 | no | — |
| 240 | C4×Dic3 | — | 6 | 2 | no | — |
| 241 | C4×Dic3 | — | 6 | 2 | no | — |
| 242 | C2×C3⋊C8 | — | 3 | 4 | no | — |
| 243 | C2×C3⋊C8 | — | 6 | 2 | no | — |
| 244 | #204 | — | 12 | 8 | no | — |
| 245 | #204 | — | 12 | 4 | no | — |
| 246 | #204 | — | 12 | 4 | no | — |
| 247 | ΓL(1,𝔽25) | — | 6 | 8 | no | — |
| 248 | ΓL(1,𝔽25) | — | 6 | 4 | no | — |
| 249 | ΓL(1,𝔽25) | — | 6 | 4 | no | — |
| 250 | C3×C16 | — | 12 | 4 | no | — |
| 251 | C3⋊C16 | — | 4 | 4 | no | — |
| 252 | C22×C32 | — | 8 | 2 | no | — |
| 253 | C22×C32 | — | 8 | 2 | no | — |
| 254 | C22×C32 | — | 8 | 1 | no | — |
| 255 | C22×C32 | — | 8 | 1 | no | — |
| 256 | C22×C32 | C2×#100 | 1 | 1 | yes | characteristic |
| 257 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 258 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 259 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 260 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 261 | C2×C3⋊D3 | — | 16 | 4 | no | — |
| 262 | C32×C4 | — | 2 | 2 | no | — |
| 263 | C32×C4 | #418 | 1 | 2 | yes | — |
| 264 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 265 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 266 | C3⋊Dic3 | — | 8 | 1 | no | — |
| 267 | C2×#41 | — | 18 | 1 | no | — |
| 268 | C22×D4 | — | 18 | 1 | no | — |
| 269 | C22×D4 | — | 36 | 1 | no | — |
| 270 | AGL(1,ℤ/8) | — | 36 | 8 | no | — |
| 271 | C2×SD16 | — | 18 | 2 | no | — |
| 272 | C2×SD16 | — | 18 | 2 | no | — |
| 273 | C2×D8 | — | 2 | 2 | no | — |
| 274 | C2×D8 | — | 18 | 2 | no | — |
| 275 | C2×M16 | — | 9 | 2 | no | — |
| 276 | C4⋊Q8 | — | 9 | 1 | no | — |
| 277 | #127 | — | 9 | 1 | no | — |
| 278 | #127 | — | 18 | 1 | no | — |
| 279 | #127 | — | 36 | 1 | no | — |
| 280 | #127 | #624 | 1 | 1 | yes | characteristic |
| 281 | #127 | #624 | 1 | 1 | yes | characteristic |
| 282 | #124 | — | 18 | 1 | no | — |
| 283 | #121 | — | 36 | 1 | no | — |
| 284 | C4×D4 | — | 36 | 1 | no | — |
| 285 | C2×C42 | — | 9 | 1 | no | — |
| 286 | M32 | — | 6 | 4 | no | — |
| 287 | #97 | — | 9 | 2 | no | — |
| 288 | C4×C8 | — | 9 | 1 | no | — |
| 289 | C4×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 290 | C23×C3 | — | 4 | 2 | no | — |
| 291 | C23×C3 | — | 4 | 2 | no | — |
| 292 | C23×C3 | — | 4 | 2 | no | — |
| 293 | C23×C3 | — | 4 | 2 | no | — |
| 294 | C22×D3 | — | 3 | 2 | no | — |
| 295 | C22×D3 | — | 6 | 1 | no | — |
| 296 | C22×D3 | — | 12 | 2 | no | — |
| 297 | C22×D3 | — | 12 | 2 | no | — |
| 298 | C22×D3 | — | 24 | 4 | no | — |
| 299 | C22×D3 | — | 24 | 4 | no | — |
| 300 | C22×D3 | — | 24 | 8 | no | — |
| 301 | C22×D3 | — | 24 | 8 | no | — |
| 302 | C3×D4 | — | 4 | 4 | no | — |
| 303 | C3×D4 | — | 4 | 4 | no | — |
| 304 | C3×D4 | — | 4 | 4 | no | — |
| 305 | C3×D4 | — | 4 | 4 | no | — |
| 306 | C3×D4 | — | 8 | 4 | no | — |
| 307 | C3×D4 | — | 8 | 4 | no | — |
| 308 | C3×D4 | — | 8 | 4 | no | — |
| 309 | C3×D4 | — | 8 | 4 | no | — |
| 310 | C2×C3×C4 | — | 2 | 2 | no | — |
| 311 | C2×C3×C4 | — | 2 | 2 | no | — |
| 312 | C2×C3×C4 | — | 2 | 1 | no | — |
| 313 | C2×C3×C4 | D3×C22⋊C4 | 1 | 2 | yes | — |
| 314 | #67 | — | 24 | 4 | no | — |
| 315 | #67 | — | 24 | 4 | no | — |
| 316 | #67 | — | 24 | 8 | no | — |
| 317 | #67 | — | 24 | 8 | no | — |
| 318 | #67 | — | 24 | 4 | no | — |
| 319 | #67 | — | 24 | 4 | no | — |
| 320 | C2×Dic3 | — | 3 | 2 | no | — |
| 321 | C2×Dic3 | — | 6 | 1 | no | — |
| 322 | C2×Dic3 | — | 6 | 2 | no | — |
| 323 | C2×Dic3 | — | 6 | 2 | no | — |
| 324 | C2×Dic3 | — | 12 | 2 | no | — |
| 325 | C2×Dic3 | — | 12 | 2 | no | — |
| 326 | C2×Dic3 | — | 24 | 4 | no | — |
| 327 | C2×Dic3 | — | 24 | 4 | no | — |
| 328 | D12 | — | 12 | 4 | no | — |
| 329 | D12 | — | 12 | 4 | no | — |
| 330 | D12 | — | 24 | 4 | no | — |
| 331 | D12 | — | 24 | 4 | no | — |
| 332 | C4×D3 | — | 6 | 4 | no | — |
| 333 | C4×D3 | — | 6 | 4 | no | — |
| 334 | C4×D3 | — | 12 | 4 | no | — |
| 335 | C4×D3 | — | 12 | 4 | no | — |
| 336 | Dic6 | — | 12 | 4 | no | — |
| 337 | Dic6 | — | 12 | 4 | no | — |
| 338 | C3×C8 | — | 2 | 4 | no | — |
| 339 | C3×C8 | #911 | 1 | 4 | yes | — |
| 340 | C3×C8 | #914 | 1 | 4 | yes | — |
| 341 | C3⋊C8 | — | 6 | 4 | no | — |
| 342 | C3⋊C8 | — | 6 | 4 | no | — |
| 343 | C2×C32 | — | 2 | 1 | no | — |
| 344 | C2×C32 | — | 16 | 1 | no | — |
| 345 | C2×C32 | — | 16 | 1 | no | — |
| 346 | C2×C32 | #1555 | 1 | 1 | yes | characteristic |
| 347 | C3⋊D3 | — | 4 | 1 | no | — |
| 348 | C3⋊D3 | — | 16 | 1 | no | — |
| 349 | C24 | — | 36 | 1 | no | — |
| 350 | #41 | — | 36 | 4 | no | — |
| 351 | C2×Q8 | — | 18 | 1 | no | — |
| 352 | C2×D4 | — | 2 | 1 | no | — |
| 353 | C2×D4 | — | 2 | 1 | no | — |
| 354 | C2×D4 | — | 4 | 1 | no | — |
| 355 | C2×D4 | — | 4 | 1 | no | — |
| 356 | C2×D4 | — | 18 | 1 | no | — |
| 357 | C2×D4 | — | 36 | 1 | no | — |
| 358 | C2×D4 | — | 36 | 1 | no | — |
| 359 | C2×D4 | — | 36 | 4 | no | — |
| 360 | C2×D4 | — | 36 | 2 | no | — |
| 361 | C2×D4 | — | 36 | 1 | no | — |
| 362 | C2×D4 | — | 72 | 4 | no | — |
| 363 | C22×C4 | — | 9 | 1 | no | — |
| 364 | C22×C4 | — | 18 | 1 | no | — |
| 365 | C22×C4 | — | 36 | 1 | no | — |
| 366 | SD16 | — | 36 | 4 | no | — |
| 367 | SD16 | — | 36 | 4 | no | — |
| 368 | D8 | — | 4 | 4 | no | — |
| 369 | D8 | — | 36 | 4 | no | — |
| 370 | M16 | — | 18 | 4 | no | — |
| 371 | C2×C8 | — | 9 | 2 | no | — |
| 372 | C2×C8 | #3811 | 1 | 2 | yes | — |
| 373 | C4⋊C4 | — | 36 | 1 | no | — |
| 374 | C22⋊C4 | — | 36 | 2 | no | — |
| 375 | C42 | — | 9 | 1 | no | — |
| 376 | C42 | — | 18 | 1 | no | — |
| 377 | C42 | C2×#624 | 1 | 1 | yes | characteristic |
| 378 | C16 | — | 12 | 4 | no | — |
| 379 | C22×C3 | — | 2 | 1 | no | — |
| 380 | C22×C3 | — | 8 | 2 | no | — |
| 381 | C22×C3 | — | 8 | 2 | no | — |
| 382 | C22×C3 | — | 8 | 4 | no | — |
| 383 | C22×C3 | — | 8 | 4 | no | — |
| 384 | C22×C3 | — | 8 | 4 | no | — |
| 385 | C22×C3 | — | 8 | 4 | no | — |
| 386 | C22×C3 | — | 8 | 2 | no | — |
| 387 | C22×C3 | — | 8 | 2 | no | — |
| 388 | C22×C3 | D3×#100 | 1 | 2 | yes | — |
| 389 | C2×D3 | — | 6 | 2 | no | — |
| 390 | C2×D3 | — | 6 | 2 | no | — |
| 391 | C2×D3 | — | 12 | 2 | no | — |
| 392 | C2×D3 | — | 12 | 2 | no | — |
| 393 | C2×D3 | — | 24 | 2 | no | — |
| 394 | C2×D3 | — | 24 | 4 | no | — |
| 395 | C2×D3 | — | 24 | 4 | no | — |
| 396 | C2×D3 | — | 24 | 2 | no | — |
| 397 | C2×D3 | — | 48 | 8 | no | — |
| 398 | C2×D3 | — | 48 | 8 | no | — |
| 399 | C3×C4 | — | 2 | 4 | no | — |
| 400 | C3×C4 | — | 2 | 4 | no | — |
| 401 | C3×C4 | — | 2 | 2 | no | — |
| 402 | C3×C4 | #4770 | 1 | 4 | yes | — |
| 403 | Dic3 | — | 6 | 2 | no | — |
| 404 | Dic3 | — | 6 | 2 | no | — |
| 405 | Dic3 | — | 12 | 2 | no | — |
| 406 | Dic3 | — | 12 | 2 | no | — |
| 407 | Dic3 | — | 24 | 2 | no | — |
| 408 | Dic3 | — | 24 | 2 | no | — |
| 409 | C32 | #11992 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 410 | C23 | — | 4 | 1 | no | — |
| 411 | C23 | — | 4 | 1 | no | — |
| 412 | C23 | — | 9 | 1 | no | — |
| 413 | C23 | — | 36 | 1 | no | — |
| 414 | C23 | — | 72 | 2 | no | — |
| 415 | C23 | — | 72 | 4 | no | — |
| 416 | Q8 | — | 36 | 2 | no | — |
| 417 | D4 | — | 4 | 2 | no | — |
| 418 | D4 | — | 4 | 2 | no | — |
| 419 | D4 | — | 8 | 2 | no | — |
| 420 | D4 | — | 8 | 2 | no | — |
| 421 | D4 | — | 36 | 2 | no | — |
| 422 | D4 | — | 72 | 2 | no | — |
| 423 | D4 | — | 72 | 2 | no | — |
| 424 | D4 | — | 72 | 4 | no | — |
| 425 | D4 | — | 72 | 2 | no | — |
| 426 | C2×C4 | — | 2 | 1 | no | — |
| 427 | C2×C4 | — | 9 | 1 | no | — |
| 428 | C2×C4 | — | 18 | 2 | no | — |
| 429 | C2×C4 | — | 18 | 1 | no | — |
| 430 | C2×C4 | — | 36 | 2 | no | — |
| 431 | C2×C4 | — | 36 | 1 | no | — |
| 432 | C2×C4 | — | 72 | 2 | no | — |
| 433 | C2×C4 | #63974 | 1 | 1 | yes | characteristic |
| 434 | C8 | — | 18 | 2 | no | — |
| 435 | C8 | #63937 | 1 | 4 | yes | — |
| 436 | C2×C3 | — | 2 | 2 | no | — |
| 437 | C2×C3 | — | 2 | 2 | no | — |
| 438 | C2×C3 | — | 2 | 1 | no | — |
| 439 | C2×C3 | — | 16 | 2 | no | — |
| 440 | C2×C3 | — | 16 | 2 | no | — |
| 441 | C2×C3 | — | 16 | 2 | no | — |
| 442 | C2×C3 | — | 16 | 2 | no | — |
| 443 | C2×C3 | #68387 | 1 | 2 | yes | — |
| 444 | D3 | — | 12 | 2 | no | — |
| 445 | D3 | — | 12 | 2 | no | — |
| 446 | D3 | — | 48 | 2 | no | — |
| 447 | D3 | — | 48 | 2 | no | — |
| 448 | C22 | — | 8 | 2 | no | — |
| 449 | C22 | — | 8 | 2 | no | — |
| 450 | C22 | — | 8 | 1 | no | — |
| 451 | C22 | — | 8 | 1 | no | — |
| 452 | C22 | — | 18 | 1 | no | — |
| 453 | C22 | — | 36 | 1 | no | — |
| 454 | C22 | — | 72 | 2 | no | — |
| 455 | C22 | — | 72 | 1 | no | — |
| 456 | C22 | — | 144 | 4 | no | — |
| 457 | C22 | #10591503 | 1 | 1 | yes | characteristic |
| 458 | C4 | — | 2 | 2 | no | — |
| 459 | C4 | — | 18 | 1 | no | — |
| 460 | C4 | — | 36 | 1 | no | — |
| 461 | C4 | — | 72 | 1 | no | — |
| 462 | C4 | #10591426 | 1 | 2 | yes | — |
| 463 | C3 | — | 2 | 1 | no | — |
| 464 | C3 | #10706716 | 1 | 2 | yes | complemented |
| 465 | C2 | — | 2 | 1 | no | — |
| 466 | C2 | — | 16 | 1 | no | — |
| 467 | C2 | — | 16 | 1 | no | — |
| 468 | C2 | — | 36 | 1 | no | — |
| 469 | C2 | — | 144 | 1 | no | — |
| 470 | C2 | #11776584 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11797399 | C2 | semidirect |
| 3. #11772036 | C2 | semidirect |
| 4. C3×#67791 | C2 | semidirect |
| 15. C3×#4463 | C22 | semidirect |
| 22. #67791 | D3 | semidirect |
| 69. #4463 | C2×D3 | semidirect |
| 409. C32 | #11992 | semidirect |
| 464. C3 | #10706716 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11874467 | 2 |
| #11797399 | 2 |
| #11772036 | 2 |
| C3×#67791 | 2 |
| #10706716 | 3 |