Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
762 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 762 conjugacy classes of subgroups — too many to draw. Only its 144 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 | #10594737 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10594731 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10592611 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#4911 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10591032 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10591030 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | D3×#827 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10591026 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10590239 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10590235 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10590229 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #82037 | — | 3 | 2 | no | maximal |
| 13 | #64313 | — | 2 | 1 | no | — |
| 14 | #64309 | — | 2 | 1 | no | — |
| 15 | #64121 | C22 | 1 | 1 | yes | characteristic |
| 16 | #64121 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | C3×#912 | C22 | 1 | 2 | yes | complemented |
| 18 | C3×D3×D8 | C22 | 1 | 2 | yes | — |
| 19 | #63932 | — | 2 | 2 | no | — |
| 20 | #63931 | — | 2 | 1 | no | — |
| 21 | #63929 | — | 2 | 2 | no | — |
| 22 | #63927 | — | 2 | 1 | no | — |
| 23 | #63807 | C22 | 1 | 2 | yes | — |
| 24 | #63803 | C22 | 1 | 1 | yes | characteristic |
| 25 | #63802 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | D3×Dic12 | C22 | 1 | 2 | yes | complemented |
| 27 | #63797 | C22 | 1 | 1 | yes | characteristic |
| 28 | C32×D16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #63654 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #63654 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #63628 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C16×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C3×#827 | C22 | 1 | 2 | yes | complemented |
| 34 | C3×#826 | C22 | 1 | 2 | yes | complemented |
| 35 | C3×#800 | C22 | 1 | 2 | yes | complemented |
| 36 | C3×#798 | C22 | 1 | 2 | yes | complemented |
| 37 | #63551 | C22 | 1 | 2 | yes | complemented |
| 38 | #63548 | C22 | 1 | 2 | yes | complemented |
| 39 | #63547 | C22 | 1 | 2 | yes | complemented |
| 40 | #63544 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | D3×C3⋊C16 | C22 | 1 | 2 | yes | complemented |
| 42 | #5771 | — | 3 | 2 | no | — |
| 43 | #5757 | — | 3 | 2 | no | — |
| 44 | C3×#509 | — | 3 | 2 | no | — |
| 45 | #5194 | — | 3 | 2 | no | — |
| 46 | C2×#827 | — | 3 | 2 | no | — |
| 47 | #4915 | — | 3 | 2 | no | — |
| 48 | #4915 | — | 3 | 2 | no | — |
| 49 | D3×SD32 | — | 3 | 2 | no | — |
| 50 | D3×SD32 | — | 3 | 2 | no | — |
| 51 | #4912 | — | 3 | 2 | no | — |
| 52 | #4912 | — | 3 | 2 | no | — |
| 53 | #4912 | — | 6 | 1 | no | — |
| 54 | #4911 | — | 3 | 2 | no | — |
| 55 | #4911 | D3 | 1 | 2 | yes | complemented |
| 56 | #4909 | — | 3 | 2 | no | — |
| 57 | #4907 | — | 3 | 2 | no | — |
| 58 | #3830 | — | 2 | 1 | no | — |
| 59 | #3830 | — | 2 | 1 | no | — |
| 60 | C3×#237 | — | 2 | 2 | no | — |
| 61 | C3×D3×D4 | — | 2 | 2 | no | — |
| 62 | D3×#67 | — | 4 | 2 | no | — |
| 63 | C2×#627 | — | 4 | 1 | no | — |
| 64 | C2×#625 | — | 4 | 1 | no | — |
| 65 | #3805 | — | 4 | 1 | no | — |
| 66 | #3805 | — | 4 | 1 | no | — |
| 67 | #3804 | — | 4 | 2 | no | — |
| 68 | #3802 | — | 2 | 1 | no | — |
| 69 | #3798 | D4 | 1 | 1 | yes | characteristic |
| 70 | #3797 | — | 2 | 1 | no | — |
| 71 | #3795 | — | 2 | 2 | no | — |
| 72 | D3×Dic6 | — | 2 | 2 | no | — |
| 73 | C32×D8 | C23 | 1 | 1 | yes | characteristic |
| 74 | C32×D8 | C23 | 1 | 1 | yes | characteristic |
| 75 | #3754 | — | 2 | 1 | no | — |
| 76 | #3754 | — | 2 | 1 | no | — |
| 77 | #3746 | C23 | 1 | 1 | yes | characteristic |
| 78 | #3746 | C23 | 1 | 1 | yes | characteristic |
| 79 | C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 80 | C3×#214 | — | 2 | 2 | no | — |
| 81 | C3×#213 | — | 2 | 2 | no | — |
| 82 | C3×Dic12 | C23 | 1 | 2 | yes | — |
| 83 | C3×D24 | C23 | 1 | 2 | yes | — |
| 84 | C3×D3×C8 | C23 | 1 | 2 | yes | — |
| 85 | #3719 | — | 2 | 2 | no | — |
| 86 | #3718 | — | 2 | 1 | no | — |
| 87 | #3716 | — | 2 | 2 | no | — |
| 88 | #3713 | — | 2 | 1 | no | — |
| 89 | #3712 | D4 | 1 | 1 | yes | characteristic |
| 90 | #3711 | D4 | 1 | 2 | yes | — |
| 91 | C32×C16 | C23 | 1 | 1 | yes | characteristic |
| 92 | C3⋊(C3⋊C16) | C23 | 1 | 1 | yes | characteristic |
| 93 | C3×C3⋊C16 | C23 | 1 | 2 | yes | — |
| 94 | #3416 | — | 9 | 1 | no | Sylow |
| 95 | #1010 | — | 6 | 2 | no | — |
| 96 | #1004 | — | 6 | 2 | no | — |
| 97 | C3×#135 | — | 3 | 2 | no | — |
| 98 | C2×C3×D8 | — | 3 | 2 | no | — |
| 99 | #951 | — | 6 | 2 | no | — |
| 100 | #932 | — | 6 | 2 | no | — |
| 101 | D3×Q16 | — | 3 | 2 | no | — |
| 102 | D3×Q16 | — | 3 | 2 | no | — |
| 103 | #915 | — | 6 | 2 | no | — |
| 104 | #915 | — | 6 | 2 | no | — |
| 105 | #912 | — | 3 | 2 | no | — |
| 106 | #912 | — | 3 | 2 | no | — |
| 107 | #912 | — | 3 | 2 | no | — |
| 108 | #912 | — | 6 | 1 | no | — |
| 109 | #912 | — | 6 | 1 | no | — |
| 110 | #912 | C2×D3 | 1 | 2 | yes | complemented |
| 111 | #911 | — | 6 | 2 | no | — |
| 112 | #911 | — | 6 | 2 | no | — |
| 113 | D3×D8 | — | 3 | 2 | no | — |
| 114 | D3×D8 | C2×D3 | 1 | 2 | yes | — |
| 115 | C2×Dic12 | — | 3 | 2 | no | — |
| 116 | #904 | — | 3 | 2 | no | — |
| 117 | #901 | — | 3 | 2 | no | — |
| 118 | C3×SD32 | — | 3 | 2 | no | — |
| 119 | C3×SD32 | — | 3 | 2 | no | — |
| 120 | C3×D16 | — | 2 | 1 | no | — |
| 121 | C3×D16 | — | 3 | 2 | no | — |
| 122 | C3×D16 | C2×D3 | 1 | 2 | yes | complemented |
| 123 | C3×M32 | — | 3 | 2 | no | — |
| 124 | #829 | — | 3 | 2 | no | — |
| 125 | #828 | — | 3 | 2 | no | — |
| 126 | #827 | — | 3 | 2 | no | — |
| 127 | #827 | — | 3 | 2 | no | — |
| 128 | #827 | — | 3 | 2 | no | — |
| 129 | #827 | — | 3 | 2 | no | — |
| 130 | #827 | — | 6 | 1 | no | — |
| 131 | #827 | — | 6 | 1 | no | — |
| 132 | #827 | C2×D3 | 1 | 2 | yes | complemented |
| 133 | #826 | C2×D3 | 1 | 2 | yes | complemented |
| 134 | C2×C3⋊C16 | — | 3 | 2 | no | — |
| 135 | Dic24 | — | 3 | 2 | no | — |
| 136 | Dic24 | — | 3 | 2 | no | — |
| 137 | Dic24 | — | 6 | 1 | no | — |
| 138 | #800 | — | 3 | 2 | no | — |
| 139 | #800 | C2×D3 | 1 | 2 | yes | complemented |
| 140 | #798 | — | 3 | 2 | no | — |
| 141 | #798 | C2×D3 | 1 | 2 | yes | complemented |
| 142 | D3×C16 | — | 3 | 2 | no | — |
| 143 | D3×C16 | — | 3 | 2 | no | — |
| 144 | D3×C16 | — | 6 | 1 | no | — |
| 145 | C22×C3×D3 | — | 4 | 2 | no | — |
| 146 | C2×D32 | — | 4 | 1 | no | — |
| 147 | C32×D4 | — | 2 | 1 | no | — |
| 148 | C32×D4 | — | 2 | 1 | no | — |
| 149 | #638 | — | 4 | 1 | no | — |
| 150 | #638 | — | 4 | 1 | no | — |
| 151 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 152 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 153 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 154 | #634 | — | 2 | 1 | no | — |
| 155 | #634 | — | 2 | 1 | no | — |
| 156 | C3×#67 | — | 4 | 2 | no | — |
| 157 | C3×#67 | — | 4 | 2 | no | — |
| 158 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 159 | C3×D12 | — | 2 | 2 | no | — |
| 160 | C3×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 161 | C3×Dic6 | — | 2 | 2 | no | — |
| 162 | #627 | — | 4 | 1 | no | — |
| 163 | #627 | — | 4 | 2 | no | — |
| 164 | #627 | D8 | 1 | 1 | yes | characteristic |
| 165 | #626 | D8 | 1 | 2 | yes | — |
| 166 | #625 | — | 4 | 2 | no | — |
| 167 | #625 | — | 4 | 1 | no | — |
| 168 | #625 | D8 | 1 | 1 | yes | characteristic |
| 169 | #624 | — | 4 | 1 | no | — |
| 170 | D3×Dic3 | — | 4 | 2 | no | — |
| 171 | D3×Dic3 | — | 4 | 2 | no | — |
| 172 | C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 173 | C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 174 | C3×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 175 | #578 | — | 9 | 1 | no | — |
| 176 | #576 | — | 9 | 1 | no | — |
| 177 | #510 | — | 9 | 2 | no | — |
| 178 | #510 | — | 9 | 1 | no | — |
| 179 | #509 | — | 3 | 2 | no | — |
| 180 | #509 | — | 9 | 1 | no | — |
| 181 | #508 | — | 9 | 2 | no | — |
| 182 | #508 | — | 9 | 1 | no | — |
| 183 | C2×SD32 | — | 9 | 1 | no | — |
| 184 | C2×SD32 | — | 9 | 2 | no | — |
| 185 | #504 | — | 9 | 1 | no | — |
| 186 | C3×#41 | — | 6 | 2 | no | — |
| 187 | C2×C3×D4 | — | 6 | 2 | no | — |
| 188 | C2×#67 | — | 12 | 2 | no | — |
| 189 | C2×#67 | — | 12 | 2 | no | — |
| 190 | D3×Q8 | — | 6 | 2 | no | — |
| 191 | D3×Q8 | — | 6 | 2 | no | — |
| 192 | #237 | — | 2 | 2 | no | — |
| 193 | #237 | — | 6 | 2 | no | — |
| 194 | #237 | — | 6 | 2 | no | — |
| 195 | #237 | — | 6 | 2 | no | — |
| 196 | #237 | — | 12 | 1 | no | — |
| 197 | #237 | — | 12 | 1 | no | — |
| 198 | #237 | — | 12 | 2 | no | — |
| 199 | #237 | — | 12 | 2 | no | — |
| 200 | #237 | — | 12 | 2 | no | — |
| 201 | D3×D4 | — | 2 | 2 | no | — |
| 202 | D3×D4 | — | 6 | 2 | no | — |
| 203 | D3×D4 | — | 12 | 2 | no | — |
| 204 | #235 | — | 3 | 2 | no | — |
| 205 | #235 | — | 6 | 2 | no | — |
| 206 | #235 | — | 12 | 2 | no | — |
| 207 | C2×Dic6 | — | 6 | 2 | no | — |
| 208 | C2×Dic6 | — | 12 | 2 | no | — |
| 209 | C3×Q16 | — | 3 | 2 | no | — |
| 210 | C3×SD16 | — | 6 | 2 | no | — |
| 211 | C3×D8 | — | 2 | 1 | no | — |
| 212 | C3×D8 | — | 2 | 1 | no | — |
| 213 | C3×D8 | — | 3 | 2 | no | — |
| 214 | C3×D8 | — | 6 | 2 | no | — |
| 215 | C3×D8 | C22×D3 | 1 | 2 | yes | — |
| 216 | C3×D8 | C22×D3 | 1 | 2 | yes | — |
| 217 | C2×C3×C8 | — | 3 | 2 | no | — |
| 218 | #216 | — | 6 | 2 | no | — |
| 219 | #216 | — | 6 | 2 | no | — |
| 220 | #214 | — | 2 | 2 | no | — |
| 221 | #214 | — | 6 | 2 | no | — |
| 222 | #214 | — | 6 | 2 | no | — |
| 223 | #214 | — | 6 | 2 | no | — |
| 224 | #214 | — | 12 | 1 | no | — |
| 225 | #214 | — | 12 | 1 | no | — |
| 226 | #213 | — | 2 | 2 | no | — |
| 227 | #213 | — | 6 | 2 | no | — |
| 228 | #208 | — | 3 | 2 | no | — |
| 229 | Dic12 | — | 3 | 2 | no | — |
| 230 | Dic12 | — | 3 | 2 | no | — |
| 231 | Dic12 | — | 6 | 1 | no | — |
| 232 | Dic12 | — | 6 | 1 | no | — |
| 233 | Dic12 | — | 6 | 2 | no | — |
| 234 | Dic12 | C22×D3 | 1 | 2 | yes | — |
| 235 | D24 | C22×D3 | 1 | 2 | yes | — |
| 236 | #204 | — | 6 | 2 | no | — |
| 237 | ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 238 | ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 239 | D3×C8 | — | 3 | 2 | no | — |
| 240 | D3×C8 | — | 6 | 1 | no | — |
| 241 | D3×C8 | C22×D3 | 1 | 2 | yes | — |
| 242 | C3×C16 | — | 2 | 1 | no | — |
| 243 | C3×C16 | — | 3 | 2 | no | — |
| 244 | C3×C16 | C22×D3 | 1 | 2 | yes | — |
| 245 | C3⋊C16 | — | 3 | 2 | no | — |
| 246 | C3⋊C16 | — | 6 | 1 | no | — |
| 247 | C3⋊C16 | C22×D3 | 1 | 2 | yes | — |
| 248 | C22×C32 | — | 4 | 1 | no | — |
| 249 | C22×C32 | — | 4 | 1 | no | — |
| 250 | C2×C3⋊D3 | C2×D8 | 1 | 1 | yes | characteristic |
| 251 | C2×C3×D3 | — | 4 | 2 | no | — |
| 252 | C2×C3×D3 | — | 16 | 2 | no | — |
| 253 | C2×C3×D3 | C2×D8 | 1 | 2 | yes | — |
| 254 | D32 | — | 16 | 1 | no | — |
| 255 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 256 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 257 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 258 | C3⋊Dic3 | C2×D8 | 1 | 1 | yes | characteristic |
| 259 | C3×Dic3 | — | 4 | 2 | no | — |
| 260 | C3×Dic3 | C2×D8 | 1 | 2 | yes | — |
| 261 | 2−1+4 | — | 18 | 1 | no | — |
| 262 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 263 | #137 | — | 18 | 1 | no | — |
| 264 | #137 | — | 18 | 2 | no | — |
| 265 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 266 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 267 | #135 | — | 3 | 2 | no | — |
| 268 | #135 | — | 9 | 2 | no | — |
| 269 | #135 | — | 9 | 1 | no | — |
| 270 | #135 | — | 9 | 1 | no | — |
| 271 | C2×Q16 | — | 9 | 2 | no | — |
| 272 | C2×Q16 | — | 9 | 1 | no | — |
| 273 | C2×D8 | — | 3 | 2 | no | — |
| 274 | C2×D8 | — | 9 | 1 | no | — |
| 275 | #131 | — | 9 | 1 | no | — |
| 276 | Q32 | — | 9 | 2 | no | — |
| 277 | Q32 | — | 9 | 1 | no | — |
| 278 | SD32 | — | 3 | 2 | no | — |
| 279 | SD32 | — | 3 | 2 | no | — |
| 280 | SD32 | — | 9 | 2 | no | — |
| 281 | SD32 | — | 9 | 2 | no | — |
| 282 | SD32 | — | 9 | 1 | no | — |
| 283 | SD32 | — | 9 | 1 | no | — |
| 284 | D16 | — | 3 | 2 | no | — |
| 285 | D16 | D32 | 1 | 1 | yes | characteristic, complemented |
| 286 | M32 | — | 3 | 2 | no | — |
| 287 | M32 | — | 9 | 1 | no | — |
| 288 | C2×C16 | — | 9 | 2 | no | — |
| 289 | C2×C16 | — | 9 | 1 | no | — |
| 290 | C23×C3 | — | 12 | 2 | no | — |
| 291 | C22×D3 | — | 4 | 2 | no | — |
| 292 | C22×D3 | — | 12 | 2 | no | — |
| 293 | C3×Q8 | — | 6 | 2 | no | — |
| 294 | C3×D4 | — | 2 | 2 | no | — |
| 295 | C3×D4 | — | 2 | 2 | no | — |
| 296 | C3×D4 | — | 4 | 1 | no | — |
| 297 | C3×D4 | — | 4 | 1 | no | — |
| 298 | C3×D4 | — | 6 | 2 | no | — |
| 299 | C3×D4 | — | 12 | 2 | no | — |
| 300 | C3×D4 | — | 12 | 2 | no | — |
| 301 | C2×C3×C4 | — | 3 | 2 | no | — |
| 302 | C2×C3×C4 | — | 12 | 2 | no | — |
| 303 | #67 | — | 3 | 2 | no | — |
| 304 | #67 | — | 3 | 2 | no | — |
| 305 | #67 | — | 4 | 2 | no | — |
| 306 | #67 | — | 4 | 2 | no | — |
| 307 | #67 | — | 12 | 2 | no | — |
| 308 | #67 | — | 12 | 2 | no | — |
| 309 | #67 | — | 12 | 2 | no | — |
| 310 | #67 | — | 12 | 2 | no | — |
| 311 | #67 | — | 12 | 2 | no | — |
| 312 | #67 | — | 24 | 1 | no | — |
| 313 | #67 | — | 24 | 1 | no | — |
| 314 | C2×Dic3 | — | 4 | 2 | no | — |
| 315 | C2×Dic3 | — | 12 | 2 | no | — |
| 316 | C2×Dic3 | — | 12 | 2 | no | — |
| 317 | C2×Dic3 | — | 12 | 2 | no | — |
| 318 | C2×Dic3 | — | 12 | 2 | no | — |
| 319 | C2×Dic3 | — | 24 | 1 | no | — |
| 320 | C2×Dic3 | — | 24 | 1 | no | — |
| 321 | D12 | — | 2 | 2 | no | — |
| 322 | D12 | — | 3 | 2 | no | — |
| 323 | C4×D3 | — | 3 | 2 | no | — |
| 324 | C4×D3 | — | 6 | 1 | no | — |
| 325 | C4×D3 | — | 12 | 2 | no | — |
| 326 | C4×D3 | — | 12 | 2 | no | — |
| 327 | C4×D3 | — | 12 | 2 | no | — |
| 328 | C4×D3 | D3×D4 | 1 | 2 | yes | — |
| 329 | Dic6 | — | 2 | 2 | no | — |
| 330 | Dic6 | — | 3 | 2 | no | — |
| 331 | Dic6 | — | 6 | 2 | no | — |
| 332 | Dic6 | — | 6 | 2 | no | — |
| 333 | Dic6 | — | 12 | 1 | no | — |
| 334 | Dic6 | — | 12 | 1 | no | — |
| 335 | Dic6 | — | 12 | 2 | no | — |
| 336 | Dic6 | — | 12 | 2 | no | — |
| 337 | Dic6 | — | 12 | 2 | no | — |
| 338 | C3×C8 | — | 2 | 1 | no | — |
| 339 | C3×C8 | — | 3 | 2 | no | — |
| 340 | C3×C8 | C23×D3 | 1 | 2 | yes | — |
| 341 | C3⋊C8 | — | 3 | 2 | no | — |
| 342 | C3⋊C8 | — | 6 | 1 | no | — |
| 343 | C3⋊C8 | D3×D4 | 1 | 2 | yes | — |
| 344 | C2×C32 | — | 8 | 1 | no | — |
| 345 | C2×C32 | — | 8 | 1 | no | — |
| 346 | C2×C32 | C22×D8 | 1 | 1 | yes | characteristic |
| 347 | C3⋊D3 | — | 2 | 1 | no | — |
| 348 | C3×D3 | — | 2 | 2 | no | — |
| 349 | C3×D3 | — | 8 | 2 | no | — |
| 350 | #41 | — | 6 | 2 | no | — |
| 351 | #41 | — | 9 | 1 | no | — |
| 352 | #41 | — | 18 | 2 | no | — |
| 353 | #41 | — | 18 | 1 | no | — |
| 354 | #41 | — | 18 | 1 | no | — |
| 355 | #41 | — | 36 | 2 | no | — |
| 356 | #41 | — | 36 | 1 | no | — |
| 357 | #41 | — | 36 | 1 | no | — |
| 358 | C2×Q8 | — | 18 | 2 | no | — |
| 359 | C2×Q8 | — | 18 | 1 | no | — |
| 360 | C2×Q8 | — | 36 | 1 | no | — |
| 361 | C2×D4 | — | 6 | 2 | no | — |
| 362 | C2×D4 | — | 18 | 1 | no | — |
| 363 | C2×D4 | — | 36 | 2 | no | — |
| 364 | C2×D4 | — | 36 | 1 | no | — |
| 365 | Q16 | — | 3 | 2 | no | — |
| 366 | Q16 | — | 9 | 1 | no | — |
| 367 | Q16 | — | 9 | 1 | no | — |
| 368 | Q16 | — | 18 | 2 | no | — |
| 369 | Q16 | — | 18 | 1 | no | — |
| 370 | SD16 | — | 6 | 2 | no | — |
| 371 | SD16 | — | 18 | 2 | no | — |
| 372 | SD16 | — | 18 | 1 | no | — |
| 373 | SD16 | — | 18 | 1 | no | — |
| 374 | D8 | — | 3 | 2 | no | — |
| 375 | D8 | — | 6 | 2 | no | — |
| 376 | D8 | — | 18 | 1 | no | — |
| 377 | D8 | C2×D32 | 1 | 1 | yes | characteristic |
| 378 | D8 | C2×D32 | 1 | 1 | yes | characteristic |
| 379 | M16 | — | 9 | 1 | no | — |
| 380 | M16 | — | 9 | 2 | no | — |
| 381 | C2×C8 | — | 3 | 2 | no | — |
| 382 | C2×C8 | — | 9 | 1 | no | — |
| 383 | C16 | — | 3 | 2 | no | — |
| 384 | C16 | — | 9 | 1 | no | — |
| 385 | C16 | C2×D32 | 1 | 1 | yes | characteristic |
| 386 | C22×C3 | — | 3 | 2 | no | — |
| 387 | C22×C3 | — | 4 | 2 | no | — |
| 388 | C22×C3 | — | 4 | 2 | no | — |
| 389 | C22×C3 | — | 8 | 1 | no | — |
| 390 | C22×C3 | — | 8 | 1 | no | — |
| 391 | C22×C3 | — | 12 | 2 | no | — |
| 392 | C22×C3 | — | 48 | 2 | no | — |
| 393 | C2×D3 | — | 3 | 2 | no | — |
| 394 | C2×D3 | — | 4 | 2 | no | — |
| 395 | C2×D3 | — | 6 | 1 | no | — |
| 396 | C2×D3 | — | 16 | 2 | no | — |
| 397 | C2×D3 | — | 48 | 2 | no | — |
| 398 | C2×D3 | D3×D8 | 1 | 2 | yes | — |
| 399 | C3×C4 | — | 2 | 1 | no | — |
| 400 | C3×C4 | — | 3 | 2 | no | — |
| 401 | C3×C4 | — | 12 | 2 | no | — |
| 402 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 403 | Dic3 | — | 3 | 2 | no | — |
| 404 | Dic3 | — | 4 | 2 | no | — |
| 405 | Dic3 | — | 6 | 1 | no | — |
| 406 | Dic3 | — | 12 | 2 | no | — |
| 407 | Dic3 | — | 12 | 2 | no | — |
| 408 | Dic3 | — | 24 | 1 | no | — |
| 409 | Dic3 | — | 24 | 1 | no | — |
| 410 | Dic3 | D3×D8 | 1 | 2 | yes | — |
| 411 | C32 | #3416 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 412 | C23 | — | 12 | 2 | no | — |
| 413 | C23 | — | 36 | 1 | no | — |
| 414 | Q8 | — | 6 | 2 | no | — |
| 415 | Q8 | — | 9 | 1 | no | — |
| 416 | Q8 | — | 18 | 1 | no | — |
| 417 | Q8 | — | 18 | 1 | no | — |
| 418 | Q8 | — | 36 | 2 | no | — |
| 419 | Q8 | — | 36 | 1 | no | — |
| 420 | D4 | — | 2 | 1 | no | — |
| 421 | D4 | — | 2 | 1 | no | — |
| 422 | D4 | — | 6 | 2 | no | — |
| 423 | D4 | — | 9 | 2 | no | — |
| 424 | D4 | — | 9 | 1 | no | — |
| 425 | D4 | — | 12 | 2 | no | — |
| 426 | D4 | — | 12 | 2 | no | — |
| 427 | D4 | — | 36 | 1 | no | — |
| 428 | D4 | — | 36 | 2 | no | — |
| 429 | D4 | — | 36 | 1 | no | — |
| 430 | D4 | — | 36 | 1 | no | — |
| 431 | C2×C4 | — | 3 | 2 | no | — |
| 432 | C2×C4 | — | 9 | 1 | no | — |
| 433 | C2×C4 | — | 12 | 2 | no | — |
| 434 | C2×C4 | — | 36 | 2 | no | — |
| 435 | C2×C4 | — | 36 | 1 | no | — |
| 436 | C2×C4 | — | 36 | 1 | no | — |
| 437 | C2×C4 | — | 36 | 1 | no | — |
| 438 | C2×C4 | — | 36 | 2 | no | — |
| 439 | C8 | — | 3 | 2 | no | — |
| 440 | C8 | — | 9 | 1 | no | — |
| 441 | C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 442 | C2×C3 | — | 2 | 1 | no | — |
| 443 | C2×C3 | — | 6 | 2 | no | — |
| 444 | C2×C3 | — | 8 | 2 | no | — |
| 445 | C2×C3 | — | 8 | 2 | no | — |
| 446 | C2×C3 | — | 16 | 1 | no | — |
| 447 | C2×C3 | — | 16 | 1 | no | — |
| 448 | C2×C3 | — | 24 | 2 | no | — |
| 449 | C2×C3 | C2×D3×D8 | 1 | 2 | yes | — |
| 450 | D3 | — | 2 | 2 | no | — |
| 451 | D3 | — | 6 | 2 | no | — |
| 452 | D3 | — | 8 | 2 | no | — |
| 453 | D3 | — | 12 | 1 | no | — |
| 454 | C22 | — | 3 | 2 | no | — |
| 455 | C22 | — | 4 | 1 | no | — |
| 456 | C22 | — | 4 | 1 | no | — |
| 457 | C22 | — | 9 | 1 | no | — |
| 458 | C22 | — | 12 | 2 | no | — |
| 459 | C22 | — | 48 | 2 | no | — |
| 460 | C22 | — | 144 | 1 | no | — |
| 461 | C4 | — | 3 | 2 | no | — |
| 462 | C4 | — | 9 | 1 | no | — |
| 463 | C4 | — | 12 | 2 | no | — |
| 464 | C4 | — | 36 | 1 | no | — |
| 465 | C4 | — | 36 | 1 | no | — |
| 466 | C4 | D32×D4 | 1 | 1 | yes | characteristic |
| 467 | C3 | — | 2 | 1 | no | — |
| 468 | C3 | #82037 | 1 | 2 | yes | complemented |
| 469 | C2 | — | 6 | 2 | no | — |
| 470 | C2 | — | 8 | 1 | no | — |
| 471 | C2 | — | 8 | 1 | no | — |
| 472 | C2 | — | 18 | 1 | no | — |
| 473 | C2 | — | 24 | 2 | no | — |
| 474 | C2 | D32×D8 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10594737 | C2 | semidirect |
| 2. #10594731 | C2 | semidirect |
| 3. #10592611 | C2 | semidirect |
| 4. C3×#4911 | C2 | semidirect |
| 5. #10591032 | C2 | semidirect |
| 6. #10591030 | C2 | semidirect |
| 7. D3×#827 | C2 | semidirect |
| 8. #10591026 | C2 | semidirect |
| 9. #10590239 | C2 | semidirect |
| 10. #10590235 | C2 | semidirect |
| 11. #10590229 | C2 | semidirect |
| 16. #64121 | C22 | semidirect |
| 17. C3×#912 | C22 | semidirect |
| 25. #63802 | C22 | semidirect |
| 26. D3×Dic12 | C22 | semidirect |
| 28. C32×D16 | C22 | semidirect |
| 29. #63654 | C22 | semidirect |
| 30. #63654 | C22 | semidirect |
| 31. #63628 | C22 | semidirect |
| 32. C16×C3⋊D3 | C22 | semidirect |
| 33. C3×#827 | C22 | semidirect |
| 34. C3×#826 | C22 | semidirect |
| 35. C3×#800 | C22 | semidirect |
| 36. C3×#798 | C22 | semidirect |
| 37. #63551 | C22 | semidirect |
| 38. #63548 | C22 | semidirect |
| 39. #63547 | C22 | semidirect |
| 40. #63544 | C22 | semidirect |
| 41. D3×C3⋊C16 | C22 | semidirect |
| 55. #4911 | D3 | semidirect |
| 110. #912 | C2×D3 | semidirect |
| 122. C3×D16 | C2×D3 | semidirect |
| 132. #827 | C2×D3 | semidirect |
| 133. #826 | C2×D3 | semidirect |
| 139. #800 | C2×D3 | semidirect |
| 141. #798 | C2×D3 | semidirect |
| 285. D16 | D32 | semidirect |
| 411. C32 | #3416 | semidirect |
| 468. C3 | #82037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10594737 | 2 |
| #10594731 | 2 |
| #10592611 | 2 |
| C3×#4911 | 2 |
| #10591032 | 2 |
| #10591030 | 2 |
| D3×#827 | 2 |
| #10591026 | 2 |
| #10590239 | 2 |
| #10590235 | 2 |
| #10590229 | 2 |
| #82037 | 3 |