Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1861 conjugacy classes of subgroups.
The subgroup lattice has 737 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#64364 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#63941 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#63940 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10595082 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#5227 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10591593 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10591592 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10591562 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10591560 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10591182 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10591153 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #80041 | — | 3 | 2 | no | maximal |
| 13 | C22×C32×Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | #64364 | — | 2 | 4 | no | — |
| 15 | #64364 | — | 2 | 4 | no | — |
| 16 | C2×#3832 | — | 2 | 1 | no | — |
| 17 | C2×#3832 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#3832 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C2×Q8×C3⋊D3 | — | 2 | 1 | no | — |
| 20 | C2×Q8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×Q8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×#3828 | — | 2 | 1 | no | — |
| 23 | C2×#3828 | — | 2 | 1 | no | — |
| 24 | C2×#3828 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#3828 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×#3802 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×C3×#215 | C22 | 1 | 2 | yes | — |
| 28 | C2×C3×#215 | C22 | 1 | 2 | yes | — |
| 29 | C3×#930 | C22 | 1 | 2 | yes | — |
| 30 | #63983 | — | 2 | 1 | no | — |
| 31 | #63979 | — | 2 | 1 | no | — |
| 32 | #63941 | — | 2 | 4 | no | — |
| 33 | #63940 | — | 2 | 4 | no | — |
| 34 | #63923 | — | 2 | 1 | no | — |
| 35 | #63916 | C22 | 1 | 2 | yes | — |
| 36 | #63913 | — | 2 | 1 | no | — |
| 37 | #63849 | C22 | 1 | 1 | yes | characteristic |
| 38 | C2×#3716 | C22 | 1 | 2 | yes | — |
| 39 | C2×#3714 | C22 | 1 | 2 | yes | — |
| 40 | C2×#3712 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×#3710 | C22 | 1 | 1 | yes | characteristic |
| 42 | C3×#835 | C22 | 1 | 2 | yes | complemented |
| 43 | C3×#835 | C22 | 1 | 2 | yes | complemented |
| 44 | C3×#830 | C22 | 1 | 2 | yes | complemented |
| 45 | #63567 | C22 | 1 | 2 | yes | complemented |
| 46 | #63564 | C22 | 1 | 2 | yes | complemented |
| 47 | #63557 | C22 | 1 | 2 | yes | complemented |
| 48 | C2×#1007 | — | 3 | 2 | no | — |
| 49 | C2×#1007 | — | 6 | 1 | no | — |
| 50 | C2×#914 | — | 3 | 2 | no | — |
| 51 | C2×D3×SD16 | — | 3 | 2 | no | — |
| 52 | #5607 | — | 3 | 2 | no | — |
| 53 | C3×#448 | — | 3 | 2 | no | — |
| 54 | #5227 | D3 | 1 | 2 | yes | complemented |
| 55 | #5172 | — | 3 | 2 | no | — |
| 56 | #5170 | — | 3 | 2 | no | — |
| 57 | #5037 | — | 3 | 2 | no | — |
| 58 | #4810 | — | 3 | 2 | no | — |
| 59 | #4806 | — | 3 | 2 | no | — |
| 60 | #4804 | — | 3 | 2 | no | — |
| 61 | #4802 | — | 3 | 2 | no | — |
| 62 | #4734 | — | 3 | 2 | no | — |
| 63 | #4727 | — | 3 | 2 | no | — |
| 64 | C22×D32 | — | 2 | 1 | no | — |
| 65 | C2×C32×Q8 | — | 2 | 2 | no | — |
| 66 | C2×C32×Q8 | — | 2 | 2 | no | — |
| 67 | C2×C32×Q8 | — | 2 | 1 | no | — |
| 68 | C2×C32×Q8 | C23 | 1 | 1 | yes | characteristic |
| 69 | C2×C32×Q8 | C23 | 1 | 1 | yes | characteristic |
| 70 | C22×C32×C4 | — | 2 | 1 | no | — |
| 71 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×#638 | — | 2 | 1 | no | — |
| 73 | C2×#638 | D4 | 1 | 1 | yes | characteristic |
| 74 | C2×#638 | D4 | 1 | 1 | yes | characteristic |
| 75 | #3832 | — | 2 | 8 | no | — |
| 76 | #3832 | — | 2 | 2 | no | — |
| 77 | #3832 | — | 2 | 2 | no | — |
| 78 | #3832 | — | 2 | 2 | no | — |
| 79 | #3832 | D4 | 1 | 4 | yes | complemented |
| 80 | Q8×C3⋊D3 | — | 2 | 8 | no | — |
| 81 | Q8×C3⋊D3 | — | 2 | 2 | no | — |
| 82 | Q8×C3⋊D3 | — | 2 | 2 | no | — |
| 83 | Q8×C3⋊D3 | — | 2 | 2 | no | — |
| 84 | Q8×C3⋊D3 | D4 | 1 | 4 | yes | complemented |
| 85 | #3828 | — | 2 | 8 | no | — |
| 86 | #3828 | — | 2 | 8 | no | — |
| 87 | #3828 | — | 2 | 2 | no | — |
| 88 | #3828 | — | 2 | 2 | no | — |
| 89 | #3828 | — | 2 | 2 | no | — |
| 90 | #3828 | — | 2 | 2 | no | — |
| 91 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 92 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 93 | C2×C4⋊(C3⋊D3) | D4 | 1 | 1 | yes | characteristic |
| 94 | C2×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 96 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 97 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 98 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 99 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 100 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 102 | C2×#634 | — | 2 | 1 | no | — |
| 103 | C2×#634 | — | 2 | 1 | no | — |
| 104 | C2×#634 | D4 | 1 | 1 | yes | characteristic |
| 105 | C2×#634 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×C3×#67 | — | 2 | 2 | no | — |
| 107 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 108 | C2×#626 | — | 2 | 2 | no | — |
| 109 | C2×#625 | — | 2 | 1 | no | — |
| 110 | #3802 | — | 2 | 2 | no | — |
| 111 | #3802 | — | 2 | 2 | no | — |
| 112 | C3×#215 | — | 2 | 4 | no | — |
| 113 | C3×#215 | — | 2 | 4 | no | — |
| 114 | C3×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 115 | C3×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 116 | C2×C3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 117 | C2×C3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 118 | #3722 | — | 2 | 1 | no | — |
| 119 | (C2×D3)⋊Dic3 | — | 2 | 2 | no | — |
| 120 | Dic32 | — | 2 | 1 | no | — |
| 121 | #3716 | — | 2 | 4 | no | — |
| 122 | #3714 | — | 2 | 4 | no | — |
| 123 | #3712 | — | 2 | 2 | no | — |
| 124 | #3710 | — | 2 | 2 | no | — |
| 125 | #3010 | — | 9 | 1 | no | Sylow |
| 126 | C22×C3×Q8 | — | 2 | 1 | no | — |
| 127 | C22×C3×Q8 | C2×D3 | 1 | 2 | yes | complemented |
| 128 | #1007 | — | 6 | 8 | no | — |
| 129 | #1007 | — | 6 | 8 | no | — |
| 130 | #1007 | — | 6 | 8 | no | — |
| 131 | #1007 | — | 6 | 8 | no | — |
| 132 | C2×#239 | — | 3 | 2 | no | — |
| 133 | C2×#239 | — | 3 | 2 | no | — |
| 134 | C2×#239 | — | 6 | 1 | no | — |
| 135 | C2×#239 | — | 6 | 1 | no | — |
| 136 | C2×#239 | — | 6 | 2 | no | — |
| 137 | C2×#239 | — | 6 | 2 | no | — |
| 138 | C2×D3×Q8 | — | 3 | 2 | no | — |
| 139 | C2×D3×Q8 | — | 3 | 2 | no | — |
| 140 | C2×D3×Q8 | — | 6 | 1 | no | — |
| 141 | C2×D3×Q8 | — | 6 | 1 | no | — |
| 142 | C2×D3×Q8 | — | 6 | 2 | no | — |
| 143 | C2×D3×Q8 | — | 6 | 2 | no | — |
| 144 | C2×D3×D4 | — | 3 | 2 | no | — |
| 145 | C2×#235 | — | 3 | 2 | no | — |
| 146 | C2×#235 | — | 3 | 2 | no | — |
| 147 | C2×#235 | — | 6 | 1 | no | — |
| 148 | C2×#235 | — | 6 | 1 | no | — |
| 149 | C2×#235 | — | 6 | 2 | no | — |
| 150 | C2×#235 | — | 6 | 2 | no | — |
| 151 | C2×#235 | — | 6 | 2 | no | — |
| 152 | C2×#235 | — | 6 | 2 | no | — |
| 153 | C2×C3×SD16 | — | 3 | 2 | no | — |
| 154 | C2×C3×SD16 | — | 3 | 2 | no | — |
| 155 | C3×#121 | — | 3 | 2 | no | — |
| 156 | C2×#215 | C2×D3 | 1 | 2 | yes | — |
| 157 | C2×#215 | C2×D3 | 1 | 2 | yes | — |
| 158 | #940 | — | 6 | 2 | no | — |
| 159 | #938 | — | 3 | 2 | no | — |
| 160 | #937 | — | 6 | 2 | no | — |
| 161 | C2×#214 | — | 3 | 2 | no | — |
| 162 | C2×#213 | — | 3 | 2 | no | — |
| 163 | #930 | C2×D3 | 1 | 2 | yes | — |
| 164 | #914 | — | 6 | 8 | no | — |
| 165 | D3×SD16 | — | 6 | 8 | no | — |
| 166 | C2×D24 | — | 3 | 2 | no | — |
| 167 | C2×#204 | — | 3 | 2 | no | — |
| 168 | C2×ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 169 | C2×D3×C8 | — | 3 | 2 | no | — |
| 170 | #895 | — | 3 | 2 | no | — |
| 171 | #892 | — | 3 | 2 | no | — |
| 172 | #885 | — | 6 | 2 | no | — |
| 173 | #882 | — | 6 | 2 | no | — |
| 174 | C3×#103 | — | 3 | 2 | no | — |
| 175 | C3×#103 | — | 3 | 2 | no | — |
| 176 | C3×C22⋊C8 | — | 3 | 2 | no | — |
| 177 | #835 | C2×D3 | 1 | 2 | yes | complemented |
| 178 | #835 | C2×D3 | 1 | 2 | yes | complemented |
| 179 | #830 | C2×D3 | 1 | 2 | yes | complemented |
| 180 | #821 | — | 3 | 2 | no | — |
| 181 | (C2×D3)⋊C8 | — | 3 | 2 | no | — |
| 182 | (C2×D3)⋊C8 | — | 3 | 2 | no | — |
| 183 | #816 | — | 3 | 2 | no | — |
| 184 | #810 | — | 3 | 2 | no | — |
| 185 | #809 | — | 3 | 2 | no | — |
| 186 | C23×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 187 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 188 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C22×C3×D3 | — | 2 | 2 | no | — |
| 191 | C2×D32 | — | 4 | 2 | no | — |
| 192 | C2×D32 | — | 8 | 2 | no | — |
| 193 | C32×Q8 | — | 2 | 4 | no | — |
| 194 | C32×Q8 | — | 2 | 1 | no | — |
| 195 | C32×Q8 | — | 2 | 1 | no | — |
| 196 | C32×Q8 | C2×D4 | 1 | 2 | yes | — |
| 197 | C32×Q8 | C2×D4 | 1 | 2 | yes | — |
| 198 | C2×C32×C4 | — | 2 | 4 | no | — |
| 199 | C2×C32×C4 | — | 2 | 1 | no | — |
| 200 | C2×C32×C4 | — | 2 | 1 | no | — |
| 201 | C2×C32×C4 | — | 2 | 1 | no | — |
| 202 | C2×C32×C4 | — | 2 | 1 | no | — |
| 203 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 204 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 205 | #638 | — | 2 | 4 | no | — |
| 206 | #638 | — | 2 | 2 | no | — |
| 207 | #638 | — | 2 | 2 | no | — |
| 208 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 209 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 210 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C4⋊(C3⋊D3) | — | 2 | 4 | no | — |
| 212 | C4⋊(C3⋊D3) | — | 2 | 4 | no | — |
| 213 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 214 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 215 | C4⋊(C3⋊D3) | C2×D4 | 1 | 2 | yes | — |
| 216 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 217 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 218 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 219 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 220 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 221 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 222 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 223 | C4×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 224 | C4×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 225 | #634 | — | 2 | 4 | no | — |
| 226 | #634 | — | 2 | 1 | no | — |
| 227 | #634 | — | 2 | 4 | no | — |
| 228 | #634 | — | 2 | 2 | no | — |
| 229 | #634 | C2×D4 | 1 | 2 | yes | — |
| 230 | C3×#67 | — | 8 | 2 | no | — |
| 231 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 232 | C3×D12 | — | 2 | 2 | no | — |
| 233 | C3×D12 | — | 2 | 2 | no | — |
| 234 | #626 | — | 8 | 2 | no | — |
| 235 | #625 | — | 4 | 2 | no | — |
| 236 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 237 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 238 | C2×2−1+4 | — | 9 | 1 | no | — |
| 239 | C2×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 240 | C22×SD16 | — | 9 | 1 | no | — |
| 241 | #535 | — | 9 | 1 | no | — |
| 242 | #449 | — | 9 | 2 | no | — |
| 243 | #449 | — | 9 | 2 | no | — |
| 244 | #448 | — | 3 | 2 | no | — |
| 245 | #448 | — | 9 | 2 | no | — |
| 246 | #419 | — | 9 | 1 | no | — |
| 247 | #416 | — | 9 | 1 | no | — |
| 248 | #408 | — | 9 | 1 | no | — |
| 249 | C23×D3 | — | 6 | 2 | no | — |
| 250 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 251 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 252 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 253 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 254 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 255 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 256 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 257 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 258 | C2×C3×Q8 | C22×D3 | 1 | 2 | yes | — |
| 259 | C2×C3×Q8 | C22×D3 | 1 | 2 | yes | — |
| 260 | C2×C3×D4 | — | 3 | 2 | no | — |
| 261 | C2×C3×D4 | — | 6 | 2 | no | — |
| 262 | C22×C3×C4 | — | 2 | 2 | no | — |
| 263 | C22×C3×C4 | — | 2 | 2 | no | — |
| 264 | C22×C3×C4 | — | 2 | 1 | no | — |
| 265 | C22×C3×C4 | C22×D3 | 1 | 2 | yes | — |
| 266 | C2×#67 | — | 2 | 2 | no | — |
| 267 | C2×#67 | — | 3 | 2 | no | — |
| 268 | C2×#67 | — | 3 | 2 | no | — |
| 269 | C2×#67 | — | 6 | 1 | no | — |
| 270 | C2×#67 | — | 6 | 1 | no | — |
| 271 | C2×#67 | — | 6 | 2 | no | — |
| 272 | C2×#67 | — | 6 | 2 | no | — |
| 273 | C2×#67 | — | 6 | 2 | no | — |
| 274 | C2×#67 | — | 6 | 2 | no | — |
| 275 | #239 | — | 3 | 8 | no | — |
| 276 | #239 | — | 6 | 4 | no | — |
| 277 | #239 | — | 6 | 4 | no | — |
| 278 | #239 | — | 6 | 4 | no | — |
| 279 | #239 | — | 6 | 4 | no | — |
| 280 | #239 | — | 6 | 4 | no | — |
| 281 | #239 | — | 6 | 16 | no | — |
| 282 | #239 | — | 6 | 16 | no | — |
| 283 | #239 | — | 6 | 4 | no | — |
| 284 | #239 | — | 6 | 4 | no | — |
| 285 | D3×Q8 | — | 3 | 8 | no | — |
| 286 | D3×Q8 | — | 6 | 4 | no | — |
| 287 | D3×Q8 | — | 6 | 4 | no | — |
| 288 | D3×Q8 | — | 6 | 4 | no | — |
| 289 | D3×Q8 | — | 6 | 4 | no | — |
| 290 | D3×Q8 | — | 6 | 4 | no | — |
| 291 | D3×Q8 | — | 6 | 16 | no | — |
| 292 | D3×Q8 | — | 6 | 16 | no | — |
| 293 | D3×Q8 | — | 6 | 4 | no | — |
| 294 | D3×Q8 | — | 6 | 4 | no | — |
| 295 | D3×D4 | — | 6 | 4 | no | — |
| 296 | D3×D4 | — | 6 | 4 | no | — |
| 297 | #235 | — | 6 | 4 | no | — |
| 298 | #235 | — | 6 | 4 | no | — |
| 299 | #235 | — | 6 | 4 | no | — |
| 300 | #235 | — | 6 | 4 | no | — |
| 301 | #235 | — | 6 | 4 | no | — |
| 302 | #235 | — | 6 | 4 | no | — |
| 303 | #235 | — | 6 | 4 | no | — |
| 304 | #235 | — | 6 | 4 | no | — |
| 305 | #235 | — | 6 | 16 | no | — |
| 306 | #235 | — | 6 | 16 | no | — |
| 307 | #235 | — | 6 | 16 | no | — |
| 308 | #235 | — | 6 | 16 | no | — |
| 309 | C2×D12 | — | 3 | 2 | no | — |
| 310 | C2×D12 | — | 3 | 2 | no | — |
| 311 | C2×D12 | — | 6 | 1 | no | — |
| 312 | C2×D12 | — | 6 | 1 | no | — |
| 313 | C2×D12 | — | 6 | 2 | no | — |
| 314 | C2×D12 | — | 6 | 2 | no | — |
| 315 | C2×D12 | — | 6 | 2 | no | — |
| 316 | C2×D12 | — | 6 | 2 | no | — |
| 317 | C2×D12 | — | 6 | 2 | no | — |
| 318 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 319 | C2×C4×D3 | — | 3 | 2 | no | — |
| 320 | C2×C4×D3 | — | 3 | 2 | no | — |
| 321 | C2×C4×D3 | — | 6 | 1 | no | — |
| 322 | C2×C4×D3 | — | 6 | 1 | no | — |
| 323 | C2×C4×D3 | — | 6 | 2 | no | — |
| 324 | C2×C4×D3 | — | 6 | 2 | no | — |
| 325 | C2×C4×D3 | — | 6 | 2 | no | — |
| 326 | C2×C4×D3 | — | 6 | 2 | no | — |
| 327 | C2×C4×D3 | — | 6 | 2 | no | — |
| 328 | C2×C4×D3 | — | 6 | 2 | no | — |
| 329 | C2×C4×D3 | — | 6 | 2 | no | — |
| 330 | C2×C4×D3 | — | 6 | 2 | no | — |
| 331 | C2×C4×D3 | — | 6 | 2 | no | — |
| 332 | C2×C4×D3 | — | 6 | 2 | no | — |
| 333 | C2×Dic6 | — | 3 | 2 | no | — |
| 334 | C2×Dic6 | — | 3 | 2 | no | — |
| 335 | C2×Dic6 | — | 6 | 1 | no | — |
| 336 | C2×Dic6 | — | 6 | 1 | no | — |
| 337 | C2×Dic6 | — | 6 | 2 | no | — |
| 338 | C2×Dic6 | — | 6 | 2 | no | — |
| 339 | C2×Dic6 | — | 6 | 2 | no | — |
| 340 | C2×Dic6 | — | 6 | 2 | no | — |
| 341 | C3×SD16 | — | 6 | 4 | no | — |
| 342 | C3×SD16 | — | 6 | 4 | no | — |
| 343 | C2×C3×C8 | — | 3 | 2 | no | — |
| 344 | C2×C3×C8 | — | 3 | 2 | no | — |
| 345 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 346 | C3×C22⋊C4 | — | 6 | 2 | no | — |
| 347 | #217 | — | 6 | 2 | no | — |
| 348 | #215 | — | 2 | 4 | no | — |
| 349 | #215 | — | 2 | 4 | no | — |
| 350 | #214 | — | 6 | 4 | no | — |
| 351 | #213 | — | 6 | 4 | no | — |
| 352 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 353 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 354 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 355 | C4⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 356 | C4×Dic3 | — | 6 | 2 | no | — |
| 357 | C2×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 358 | C2×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 359 | D24 | — | 6 | 4 | no | — |
| 360 | #204 | — | 6 | 4 | no | — |
| 361 | ΓL(1,𝔽25) | — | 6 | 4 | no | — |
| 362 | D3×C8 | — | 6 | 4 | no | — |
| 363 | C22×C32 | — | 2 | 1 | no | — |
| 364 | C22×C32 | — | 2 | 2 | no | — |
| 365 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 366 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 367 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 368 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 369 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 370 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 371 | C2×C3⋊D3 | #120 | 1 | 2 | yes | — |
| 372 | C2×C3×D3 | — | 4 | 2 | no | — |
| 373 | C2×C3×D3 | — | 4 | 2 | no | — |
| 374 | C2×C3×D3 | — | 4 | 2 | no | — |
| 375 | D32 | — | 8 | 4 | no | — |
| 376 | C32×C4 | — | 2 | 2 | no | — |
| 377 | C32×C4 | — | 2 | 2 | no | — |
| 378 | C32×C4 | — | 2 | 1 | no | — |
| 379 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 380 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 381 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 382 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 383 | C3⋊Dic3 | #120 | 1 | 2 | yes | — |
| 384 | C3×Dic3 | — | 4 | 2 | no | — |
| 385 | 2−1+4 | — | 18 | 4 | no | — |
| 386 | 2−1+4 | — | 18 | 4 | no | — |
| 387 | C2×#41 | — | 9 | 1 | no | — |
| 388 | C2×#41 | — | 9 | 1 | no | — |
| 389 | C2×#41 | — | 9 | 1 | no | — |
| 390 | C2×#41 | — | 9 | 1 | no | — |
| 391 | C2×#41 | — | 18 | 1 | no | — |
| 392 | C2×#41 | — | 18 | 1 | no | — |
| 393 | C2×#41 | — | 18 | 1 | no | — |
| 394 | C22×Q8 | — | 9 | 1 | no | — |
| 395 | C22×Q8 | — | 9 | 1 | no | — |
| 396 | C22×Q8 | — | 18 | 1 | no | — |
| 397 | C22×Q8 | D32 | 1 | 1 | yes | characteristic, complemented |
| 398 | C22×D4 | — | 9 | 1 | no | — |
| 399 | AGL(1,ℤ/8) | — | 18 | 4 | no | — |
| 400 | C2×SD16 | — | 3 | 2 | no | — |
| 401 | C2×SD16 | — | 3 | 2 | no | — |
| 402 | C2×SD16 | — | 9 | 2 | no | — |
| 403 | C2×SD16 | — | 18 | 4 | no | — |
| 404 | C2×D8 | — | 9 | 2 | no | — |
| 405 | C2×M16 | — | 9 | 1 | no | — |
| 406 | C22×C8 | — | 9 | 1 | no | — |
| 407 | #127 | — | 18 | 1 | no | — |
| 408 | #124 | — | 18 | 1 | no | — |
| 409 | #121 | — | 3 | 2 | no | — |
| 410 | #121 | — | 9 | 2 | no | — |
| 411 | #120 | — | 18 | 1 | no | — |
| 412 | #120 | — | 18 | 1 | no | — |
| 413 | #117 | — | 9 | 1 | no | — |
| 414 | #103 | — | 3 | 2 | no | — |
| 415 | #103 | — | 3 | 2 | no | — |
| 416 | #103 | — | 9 | 2 | no | — |
| 417 | #102 | — | 9 | 2 | no | — |
| 418 | C22⋊C8 | — | 3 | 2 | no | — |
| 419 | C22⋊C8 | — | 9 | 2 | no | — |
| 420 | C23×C3 | — | 2 | 1 | no | — |
| 421 | C23×C3 | — | 6 | 2 | no | — |
| 422 | C23×C3 | D3×D4 | 1 | 2 | yes | — |
| 423 | C22×D3 | — | 2 | 2 | no | — |
| 424 | C22×D3 | — | 3 | 2 | no | — |
| 425 | C22×D3 | — | 3 | 2 | no | — |
| 426 | C22×D3 | — | 6 | 1 | no | — |
| 427 | C22×D3 | — | 6 | 1 | no | — |
| 428 | C22×D3 | — | 6 | 2 | no | — |
| 429 | C22×D3 | — | 6 | 2 | no | — |
| 430 | C22×D3 | — | 12 | 4 | no | — |
| 431 | C22×D3 | — | 24 | 2 | no | — |
| 432 | C22×D3 | — | 24 | 2 | no | — |
| 433 | C3×Q8 | — | 2 | 8 | no | — |
| 434 | C3×Q8 | — | 2 | 8 | no | — |
| 435 | C3×Q8 | — | 2 | 2 | no | — |
| 436 | C3×Q8 | — | 2 | 2 | no | — |
| 437 | C3×Q8 | — | 2 | 2 | no | — |
| 438 | C3×Q8 | — | 2 | 2 | no | — |
| 439 | C3×Q8 | — | 2 | 2 | no | — |
| 440 | C3×Q8 | — | 2 | 2 | no | — |
| 441 | C3×Q8 | D3×D4 | 1 | 4 | yes | — |
| 442 | C3×Q8 | D3×D4 | 1 | 4 | yes | — |
| 443 | C3×D4 | — | 6 | 2 | no | — |
| 444 | C3×D4 | — | 6 | 2 | no | — |
| 445 | C3×D4 | — | 24 | 2 | no | — |
| 446 | C2×C3×C4 | — | 2 | 2 | no | — |
| 447 | C2×C3×C4 | — | 2 | 2 | no | — |
| 448 | C2×C3×C4 | — | 2 | 8 | no | — |
| 449 | C2×C3×C4 | — | 2 | 8 | no | — |
| 450 | C2×C3×C4 | — | 2 | 2 | no | — |
| 451 | C2×C3×C4 | — | 2 | 2 | no | — |
| 452 | C2×C3×C4 | — | 2 | 2 | no | — |
| 453 | C2×C3×C4 | — | 2 | 2 | no | — |
| 454 | C2×C3×C4 | — | 2 | 2 | no | — |
| 455 | C2×C3×C4 | — | 2 | 2 | no | — |
| 456 | C2×C3×C4 | — | 2 | 1 | no | — |
| 457 | C2×C3×C4 | — | 2 | 1 | no | — |
| 458 | C2×C3×C4 | — | 6 | 2 | no | — |
| 459 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 460 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 461 | #67 | — | 6 | 4 | no | — |
| 462 | #67 | — | 6 | 4 | no | — |
| 463 | #67 | — | 6 | 4 | no | — |
| 464 | #67 | — | 6 | 4 | no | — |
| 465 | #67 | — | 6 | 8 | no | — |
| 466 | #67 | — | 6 | 8 | no | — |
| 467 | #67 | — | 8 | 2 | no | — |
| 468 | #67 | — | 12 | 4 | no | — |
| 469 | #67 | — | 24 | 2 | no | — |
| 470 | C2×Dic3 | — | 2 | 2 | no | — |
| 471 | C2×Dic3 | — | 3 | 2 | no | — |
| 472 | C2×Dic3 | — | 3 | 2 | no | — |
| 473 | C2×Dic3 | — | 6 | 1 | no | — |
| 474 | C2×Dic3 | — | 6 | 1 | no | — |
| 475 | C2×Dic3 | — | 6 | 2 | no | — |
| 476 | C2×Dic3 | — | 6 | 2 | no | — |
| 477 | D12 | — | 2 | 2 | no | — |
| 478 | D12 | — | 2 | 2 | no | — |
| 479 | D12 | — | 3 | 4 | no | — |
| 480 | D12 | — | 6 | 2 | no | — |
| 481 | D12 | — | 6 | 4 | no | — |
| 482 | D12 | — | 6 | 8 | no | — |
| 483 | D12 | — | 6 | 4 | no | — |
| 484 | D12 | — | 6 | 8 | no | — |
| 485 | D12 | — | 6 | 8 | no | — |
| 486 | D12 | — | 6 | 8 | no | — |
| 487 | D12 | — | 6 | 2 | no | — |
| 488 | D12 | — | 6 | 2 | no | — |
| 489 | D12 | — | 24 | 2 | no | — |
| 490 | C4×D3 | — | 3 | 4 | no | — |
| 491 | C4×D3 | — | 3 | 4 | no | — |
| 492 | C4×D3 | — | 6 | 2 | no | — |
| 493 | C4×D3 | — | 6 | 2 | no | — |
| 494 | C4×D3 | — | 6 | 8 | no | — |
| 495 | C4×D3 | — | 6 | 8 | no | — |
| 496 | C4×D3 | — | 6 | 8 | no | — |
| 497 | C4×D3 | — | 6 | 8 | no | — |
| 498 | C4×D3 | — | 6 | 8 | no | — |
| 499 | C4×D3 | — | 6 | 8 | no | — |
| 500 | C4×D3 | — | 6 | 8 | no | — |
| 501 | C4×D3 | — | 6 | 8 | no | — |
| 502 | C4×D3 | — | 6 | 8 | no | — |
| 503 | C4×D3 | — | 6 | 8 | no | — |
| 504 | C4×D3 | — | 6 | 2 | no | — |
| 505 | C4×D3 | — | 6 | 2 | no | — |
| 506 | C4×D3 | — | 6 | 2 | no | — |
| 507 | C4×D3 | — | 6 | 2 | no | — |
| 508 | Dic6 | — | 3 | 4 | no | — |
| 509 | Dic6 | — | 6 | 2 | no | — |
| 510 | Dic6 | — | 6 | 4 | no | — |
| 511 | Dic6 | — | 6 | 8 | no | — |
| 512 | Dic6 | — | 6 | 8 | no | — |
| 513 | Dic6 | — | 6 | 4 | no | — |
| 514 | Dic6 | — | 6 | 8 | no | — |
| 515 | Dic6 | — | 6 | 8 | no | — |
| 516 | Dic6 | — | 6 | 2 | no | — |
| 517 | Dic6 | — | 6 | 2 | no | — |
| 518 | C3×C8 | — | 6 | 2 | no | — |
| 519 | C3×C8 | — | 6 | 2 | no | — |
| 520 | C3⋊C8 | — | 2 | 2 | no | — |
| 521 | C3⋊C8 | — | 2 | 2 | no | — |
| 522 | C2×C32 | — | 4 | 1 | no | — |
| 523 | C2×C32 | C2×#120 | 1 | 1 | yes | characteristic |
| 524 | C2×C32 | #577 | 1 | 2 | yes | — |
| 525 | C3⋊D3 | — | 2 | 2 | no | — |
| 526 | C3⋊D3 | — | 4 | 1 | no | — |
| 527 | C3⋊D3 | — | 4 | 2 | no | — |
| 528 | C3×D3 | — | 8 | 2 | no | — |
| 529 | C24 | — | 18 | 1 | no | — |
| 530 | #41 | — | 9 | 4 | no | — |
| 531 | #41 | — | 18 | 2 | no | — |
| 532 | #41 | — | 18 | 2 | no | — |
| 533 | #41 | — | 18 | 2 | no | — |
| 534 | #41 | — | 18 | 2 | no | — |
| 535 | #41 | — | 18 | 8 | no | — |
| 536 | #41 | — | 18 | 8 | no | — |
| 537 | #41 | — | 18 | 2 | no | — |
| 538 | #41 | — | 18 | 2 | no | — |
| 539 | #41 | — | 18 | 8 | no | — |
| 540 | #41 | — | 18 | 2 | no | — |
| 541 | C2×Q8 | — | 2 | 2 | no | — |
| 542 | C2×Q8 | — | 2 | 2 | no | — |
| 543 | C2×Q8 | — | 2 | 1 | no | — |
| 544 | C2×Q8 | — | 9 | 1 | no | — |
| 545 | C2×Q8 | — | 9 | 4 | no | — |
| 546 | C2×Q8 | — | 9 | 1 | no | — |
| 547 | C2×Q8 | — | 18 | 1 | no | — |
| 548 | C2×Q8 | — | 18 | 1 | no | — |
| 549 | C2×Q8 | — | 18 | 2 | no | — |
| 550 | C2×Q8 | — | 18 | 2 | no | — |
| 551 | C2×Q8 | — | 18 | 8 | no | — |
| 552 | C2×Q8 | — | 18 | 2 | no | — |
| 553 | C2×Q8 | C2×D32 | 1 | 1 | yes | characteristic |
| 554 | C2×Q8 | C2×D32 | 1 | 1 | yes | characteristic |
| 555 | C2×D4 | — | 3 | 2 | no | — |
| 556 | C2×D4 | — | 6 | 2 | no | — |
| 557 | C2×D4 | — | 9 | 1 | no | — |
| 558 | C2×D4 | — | 9 | 1 | no | — |
| 559 | C2×D4 | — | 9 | 1 | no | — |
| 560 | C2×D4 | — | 9 | 1 | no | — |
| 561 | C2×D4 | — | 18 | 1 | no | — |
| 562 | C2×D4 | — | 18 | 1 | no | — |
| 563 | C2×D4 | — | 18 | 2 | no | — |
| 564 | C2×D4 | — | 18 | 2 | no | — |
| 565 | C2×D4 | — | 18 | 2 | no | — |
| 566 | C2×D4 | — | 18 | 1 | no | — |
| 567 | C2×D4 | — | 18 | 1 | no | — |
| 568 | C22×C4 | — | 2 | 1 | no | — |
| 569 | C22×C4 | — | 9 | 1 | no | — |
| 570 | C22×C4 | — | 9 | 1 | no | — |
| 571 | C22×C4 | — | 18 | 1 | no | — |
| 572 | C22×C4 | — | 18 | 1 | no | — |
| 573 | C22×C4 | — | 18 | 1 | no | — |
| 574 | C22×C4 | — | 18 | 1 | no | — |
| 575 | C22×C4 | — | 18 | 1 | no | — |
| 576 | C22×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 577 | SD16 | — | 6 | 4 | no | — |
| 578 | SD16 | — | 6 | 4 | no | — |
| 579 | SD16 | — | 18 | 4 | no | — |
| 580 | D8 | — | 18 | 4 | no | — |
| 581 | M16 | — | 18 | 2 | no | — |
| 582 | C2×C8 | — | 3 | 2 | no | — |
| 583 | C2×C8 | — | 3 | 2 | no | — |
| 584 | C2×C8 | — | 18 | 2 | no | — |
| 585 | C4⋊C4 | — | 3 | 2 | no | — |
| 586 | C22⋊C4 | — | 6 | 2 | no | — |
| 587 | C22⋊C4 | — | 18 | 1 | no | — |
| 588 | C22⋊C4 | — | 18 | 2 | no | — |
| 589 | C42 | — | 18 | 1 | no | — |
| 590 | C22×C3 | — | 2 | 2 | no | — |
| 591 | C22×C3 | — | 2 | 2 | no | — |
| 592 | C22×C3 | — | 2 | 2 | no | — |
| 593 | C22×C3 | — | 2 | 2 | no | — |
| 594 | C22×C3 | — | 2 | 1 | no | — |
| 595 | C22×C3 | — | 4 | 2 | no | — |
| 596 | C22×C3 | — | 12 | 2 | no | — |
| 597 | C22×C3 | — | 12 | 2 | no | — |
| 598 | C22×C3 | — | 12 | 2 | no | — |
| 599 | C22×C3 | C2×D3×D4 | 1 | 2 | yes | — |
| 600 | C2×D3 | — | 3 | 4 | no | — |
| 601 | C2×D3 | — | 4 | 2 | no | — |
| 602 | C2×D3 | — | 4 | 2 | no | — |
| 603 | C2×D3 | — | 4 | 2 | no | — |
| 604 | C2×D3 | — | 6 | 2 | no | — |
| 605 | C2×D3 | — | 6 | 2 | no | — |
| 606 | C2×D3 | — | 6 | 2 | no | — |
| 607 | C2×D3 | — | 6 | 4 | no | — |
| 608 | C2×D3 | — | 6 | 2 | no | — |
| 609 | C2×D3 | — | 6 | 2 | no | — |
| 610 | C2×D3 | — | 6 | 2 | no | — |
| 611 | C2×D3 | — | 6 | 4 | no | — |
| 612 | C2×D3 | — | 6 | 2 | no | — |
| 613 | C2×D3 | — | 12 | 2 | no | — |
| 614 | C2×D3 | — | 12 | 2 | no | — |
| 615 | C2×D3 | — | 12 | 4 | no | — |
| 616 | C2×D3 | — | 12 | 2 | no | — |
| 617 | C2×D3 | — | 12 | 2 | no | — |
| 618 | C2×D3 | — | 24 | 8 | no | — |
| 619 | C3×C4 | — | 2 | 4 | no | — |
| 620 | C3×C4 | — | 2 | 4 | no | — |
| 621 | C3×C4 | — | 2 | 2 | no | — |
| 622 | C3×C4 | — | 2 | 4 | no | — |
| 623 | C3×C4 | — | 2 | 4 | no | — |
| 624 | C3×C4 | — | 2 | 2 | no | — |
| 625 | C3×C4 | — | 2 | 1 | no | — |
| 626 | C3×C4 | — | 2 | 1 | no | — |
| 627 | C3×C4 | — | 12 | 2 | no | — |
| 628 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 629 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 630 | Dic3 | — | 3 | 4 | no | — |
| 631 | Dic3 | — | 4 | 2 | no | — |
| 632 | Dic3 | — | 6 | 2 | no | — |
| 633 | Dic3 | — | 6 | 2 | no | — |
| 634 | Dic3 | — | 6 | 4 | no | — |
| 635 | Dic3 | — | 6 | 4 | no | — |
| 636 | Dic3 | — | 6 | 2 | no | — |
| 637 | C32 | #3010 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 638 | C23 | — | 6 | 2 | no | — |
| 639 | C23 | — | 9 | 1 | no | — |
| 640 | C23 | — | 9 | 1 | no | — |
| 641 | C23 | — | 18 | 1 | no | — |
| 642 | C23 | — | 36 | 2 | no | — |
| 643 | C23 | — | 72 | 2 | no | — |
| 644 | C23 | #3811 | 1 | 1 | yes | characteristic |
| 645 | Q8 | — | 2 | 4 | no | — |
| 646 | Q8 | — | 2 | 1 | no | — |
| 647 | Q8 | — | 2 | 1 | no | — |
| 648 | Q8 | — | 9 | 2 | no | — |
| 649 | Q8 | — | 18 | 4 | no | — |
| 650 | Q8 | — | 18 | 2 | no | — |
| 651 | Q8 | — | 18 | 4 | no | — |
| 652 | Q8 | — | 18 | 1 | no | — |
| 653 | Q8 | #3811 | 1 | 2 | yes | — |
| 654 | Q8 | #3811 | 1 | 2 | yes | — |
| 655 | D4 | — | 6 | 2 | no | — |
| 656 | D4 | — | 6 | 2 | no | — |
| 657 | D4 | — | 9 | 2 | no | — |
| 658 | D4 | — | 18 | 2 | no | — |
| 659 | D4 | — | 18 | 4 | no | — |
| 660 | D4 | — | 18 | 4 | no | — |
| 661 | D4 | — | 18 | 2 | no | — |
| 662 | D4 | — | 18 | 2 | no | — |
| 663 | D4 | — | 18 | 4 | no | — |
| 664 | D4 | — | 18 | 1 | no | — |
| 665 | D4 | — | 24 | 2 | no | — |
| 666 | D4 | — | 36 | 2 | no | — |
| 667 | D4 | — | 72 | 2 | no | — |
| 668 | C2×C4 | — | 2 | 4 | no | — |
| 669 | C2×C4 | — | 2 | 1 | no | — |
| 670 | C2×C4 | — | 2 | 1 | no | — |
| 671 | C2×C4 | — | 2 | 1 | no | — |
| 672 | C2×C4 | — | 2 | 1 | no | — |
| 673 | C2×C4 | — | 6 | 2 | no | — |
| 674 | C2×C4 | — | 9 | 1 | no | — |
| 675 | C2×C4 | — | 9 | 2 | no | — |
| 676 | C2×C4 | — | 9 | 2 | no | — |
| 677 | C2×C4 | — | 9 | 1 | no | — |
| 678 | C2×C4 | — | 18 | 4 | no | — |
| 679 | C2×C4 | — | 18 | 4 | no | — |
| 680 | C2×C4 | — | 18 | 4 | no | — |
| 681 | C2×C4 | — | 18 | 4 | no | — |
| 682 | C2×C4 | — | 18 | 4 | no | — |
| 683 | C2×C4 | — | 18 | 1 | no | — |
| 684 | C2×C4 | — | 18 | 1 | no | — |
| 685 | C2×C4 | — | 18 | 1 | no | — |
| 686 | C2×C4 | #3811 | 1 | 1 | yes | characteristic |
| 687 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 688 | C8 | — | 6 | 2 | no | — |
| 689 | C8 | — | 6 | 2 | no | — |
| 690 | C2×C3 | — | 2 | 1 | no | — |
| 691 | C2×C3 | — | 2 | 2 | no | — |
| 692 | C2×C3 | — | 4 | 2 | no | — |
| 693 | C2×C3 | — | 4 | 2 | no | — |
| 694 | C2×C3 | — | 24 | 2 | no | — |
| 695 | C2×C3 | D3×#120 | 1 | 2 | yes | — |
| 696 | C2×C3 | #5762 | 1 | 2 | yes | — |
| 697 | C2×C3 | #5778 | 1 | 2 | yes | — |
| 698 | D3 | — | 6 | 4 | no | — |
| 699 | D3 | — | 8 | 2 | no | — |
| 700 | D3 | — | 12 | 2 | no | — |
| 701 | D3 | — | 12 | 2 | no | — |
| 702 | D3 | — | 12 | 4 | no | — |
| 703 | D3 | — | 12 | 2 | no | — |
| 704 | D3 | — | 12 | 4 | no | — |
| 705 | C22 | — | 2 | 1 | no | — |
| 706 | C22 | — | 2 | 2 | no | — |
| 707 | C22 | — | 9 | 2 | no | — |
| 708 | C22 | — | 12 | 2 | no | — |
| 709 | C22 | — | 12 | 2 | no | — |
| 710 | C22 | — | 12 | 2 | no | — |
| 711 | C22 | — | 18 | 2 | no | — |
| 712 | C22 | — | 18 | 2 | no | — |
| 713 | C22 | — | 18 | 1 | no | — |
| 714 | C22 | — | 18 | 2 | no | — |
| 715 | C22 | — | 36 | 2 | no | — |
| 716 | C22 | — | 72 | 4 | no | — |
| 717 | C22 | C2×#3811 | 1 | 1 | yes | characteristic |
| 718 | C4 | — | 2 | 2 | no | — |
| 719 | C4 | — | 2 | 2 | no | — |
| 720 | C4 | — | 2 | 1 | no | — |
| 721 | C4 | — | 9 | 2 | no | — |
| 722 | C4 | — | 12 | 2 | no | — |
| 723 | C4 | — | 18 | 1 | no | — |
| 724 | C4 | — | 18 | 2 | no | — |
| 725 | C4 | C2×#3811 | 1 | 1 | yes | characteristic |
| 726 | C4 | C2×#3811 | 1 | 1 | yes | characteristic |
| 727 | C3 | — | 2 | 1 | no | — |
| 728 | C3 | #80041 | 1 | 2 | yes | complemented |
| 729 | C2 | — | 4 | 1 | no | — |
| 730 | C2 | — | 18 | 2 | no | — |
| 731 | C2 | — | 24 | 2 | no | — |
| 732 | C2 | — | 36 | 1 | no | — |
| 733 | C2 | — | 36 | 2 | no | — |
| 734 | C2 | #10595324 | 1 | 2 | yes | — |
| 735 | C2 | #10595527 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#64364 | C2 | semidirect |
| 2. C2×#63941 | C2 | semidirect |
| 3. C2×#63940 | C2 | semidirect |
| 4. #10595082 | C2 | semidirect |
| 5. C3×#5227 | C2 | semidirect |
| 6. #10591593 | C2 | semidirect |
| 7. #10591592 | C2 | semidirect |
| 8. #10591562 | C2 | semidirect |
| 9. #10591560 | C2 | semidirect |
| 10. #10591182 | C2 | semidirect |
| 11. #10591153 | C2 | semidirect |
| 13. C22×C32×Q8 | C22 | semidirect |
| 18. C2×#3832 | C22 | semidirect |
| 21. C2×Q8×C3⋊D3 | C22 | semidirect |
| 25. C2×#3828 | C22 | semidirect |
| 42. C3×#835 | C22 | semidirect |
| 43. C3×#835 | C22 | semidirect |
| 44. C3×#830 | C22 | semidirect |
| 45. #63567 | C22 | semidirect |
| 46. #63564 | C22 | semidirect |
| 47. #63557 | C22 | semidirect |
| 54. #5227 | D3 | semidirect |
| 79. #3832 | D4 | semidirect |
| 84. Q8×C3⋊D3 | D4 | semidirect |
| 127. C22×C3×Q8 | C2×D3 | semidirect |
| 177. #835 | C2×D3 | semidirect |
| 178. #835 | C2×D3 | semidirect |
| 179. #830 | C2×D3 | semidirect |
| 397. C22×Q8 | D32 | semidirect |
| 637. C32 | #3010 | semidirect |
| 728. C3 | #80041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64364 | 2 |
| C2×#63941 | 2 |
| C2×#63940 | 2 |
| #10595082 | 2 |
| C3×#5227 | 2 |
| #10591593 | 2 |
| #10591592 | 2 |
| #10591562 | 2 |
| #10591560 | 2 |
| #10591182 | 2 |
| #10591153 | 2 |
| #80041 | 3 |