Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1020 conjugacy classes of subgroups.
The subgroup lattice has 984 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596250 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10595455 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10595450 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10595324 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#5205 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#5203 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10591686 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10591663 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10591650 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10591644 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10591605 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10591016 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10590992 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10590991 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10590978 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #80933 | — | 3 | 1 | no | maximal |
| 17 | #80301 | — | 3 | 1 | no | maximal |
| 18 | #64367 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | #64364 | C22 | 1 | 1 | yes | characteristic |
| 20 | C3×#1010 | C22 | 1 | 1 | yes | characteristic |
| 21 | #64307 | C22 | 1 | 1 | yes | characteristic |
| 22 | C32×#137 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #64159 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#3756 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #64127 | — | 2 | 1 | no | — |
| 26 | Q16×C3⋊D3 | — | 2 | 1 | no | — |
| 27 | #64125 | — | 2 | 1 | no | — |
| 28 | #64124 | — | 2 | 1 | no | — |
| 29 | #64118 | C22 | 1 | 1 | yes | characteristic |
| 30 | #64116 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C3×#949 | C22 | 1 | 1 | yes | characteristic |
| 32 | C3×#948 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C3×#944 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C3×#942 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×C3×#215 | C22 | 1 | 1 | yes | characteristic |
| 36 | #63951 | — | 2 | 1 | no | — |
| 37 | #63950 | — | 2 | 1 | no | — |
| 38 | #63946 | — | 2 | 1 | no | — |
| 39 | #63941 | — | 2 | 1 | no | — |
| 40 | #63940 | — | 2 | 1 | no | — |
| 41 | D3×#215 | — | 2 | 1 | no | — |
| 42 | #63933 | — | 2 | 1 | no | — |
| 43 | #63925 | — | 2 | 1 | no | — |
| 44 | #63860 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#3719 | — | 2 | 1 | no | — |
| 46 | C2×#3719 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #63833 | — | 2 | 1 | no | — |
| 48 | #63833 | C22 | 1 | 1 | yes | characteristic |
| 49 | #63833 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #63831 | — | 2 | 1 | no | — |
| 51 | #63831 | C22 | 1 | 1 | yes | characteristic |
| 52 | #63830 | C22 | 1 | 1 | yes | characteristic |
| 53 | #63829 | — | 2 | 1 | no | — |
| 54 | #63829 | C22 | 1 | 1 | yes | characteristic |
| 55 | C2×#3715 | C22 | 1 | 1 | yes | characteristic |
| 56 | #63817 | C22 | 1 | 1 | yes | characteristic |
| 57 | #63815 | C22 | 1 | 1 | yes | characteristic |
| 58 | C3×#837 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C3×#836 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | C3×#825 | C22 | 1 | 1 | yes | characteristic |
| 61 | C3×#824 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | C3×#823 | C22 | 1 | 1 | yes | characteristic |
| 63 | C3×#822 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #63578 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #63570 | C22 | 1 | 1 | yes | characteristic |
| 66 | #63570 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #63561 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #63554 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #5838 | — | 3 | 1 | no | — |
| 70 | #5837 | — | 3 | 1 | no | — |
| 71 | #5779 | — | 3 | 1 | no | — |
| 72 | #5779 | — | 3 | 1 | no | — |
| 73 | #5779 | — | 6 | 1 | no | — |
| 74 | #5778 | — | 3 | 1 | no | — |
| 75 | #5775 | — | 3 | 1 | no | — |
| 76 | #5762 | — | 3 | 1 | no | — |
| 77 | #5753 | — | 3 | 1 | no | — |
| 78 | C3×#471 | — | 3 | 1 | no | — |
| 79 | C3×#456 | — | 3 | 1 | no | — |
| 80 | #5205 | D3 | 1 | 1 | yes | characteristic, complemented |
| 81 | #5204 | — | 3 | 1 | no | — |
| 82 | #5203 | D3 | 1 | 1 | yes | characteristic, complemented |
| 83 | #5201 | — | 3 | 1 | no | — |
| 84 | #5167 | — | 3 | 1 | no | — |
| 85 | #5145 | — | 3 | 1 | no | — |
| 86 | #5095 | — | 3 | 1 | no | — |
| 87 | #5086 | — | 3 | 1 | no | — |
| 88 | #4896 | — | 3 | 1 | no | — |
| 89 | #4894 | — | 3 | 1 | no | — |
| 90 | #4827 | — | 3 | 1 | no | — |
| 91 | #4825 | — | 3 | 1 | no | — |
| 92 | #4823 | — | 3 | 1 | no | — |
| 93 | #4823 | — | 3 | 1 | no | — |
| 94 | #4755 | — | 3 | 1 | no | — |
| 95 | #4755 | — | 3 | 1 | no | — |
| 96 | #4754 | — | 3 | 1 | no | — |
| 97 | #4752 | — | 3 | 1 | no | — |
| 98 | #4748 | — | 3 | 1 | no | — |
| 99 | #4746 | — | 3 | 1 | no | — |
| 100 | C32×#41 | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×C32×Q8 | C23 | 1 | 1 | yes | characteristic |
| 102 | #3832 | — | 2 | 1 | no | — |
| 103 | #3832 | — | 2 | 1 | no | — |
| 104 | Q8×C3⋊D3 | — | 2 | 1 | no | — |
| 105 | Q8×C3⋊D3 | — | 2 | 1 | no | — |
| 106 | Q8×C3⋊D3 | — | 2 | 1 | no | — |
| 107 | #3830 | — | 2 | 1 | no | — |
| 108 | #3830 | — | 4 | 1 | no | — |
| 109 | #3828 | — | 2 | 1 | no | — |
| 110 | #3828 | — | 4 | 1 | no | — |
| 111 | #3828 | C23 | 1 | 1 | yes | characteristic |
| 112 | #3828 | C23 | 1 | 1 | yes | characteristic |
| 113 | C2×#634 | — | 2 | 1 | no | — |
| 114 | C2×#634 | C23 | 1 | 1 | yes | characteristic |
| 115 | C3×D3×Q8 | — | 2 | 1 | no | — |
| 116 | C3×#237 | — | 2 | 1 | no | — |
| 117 | C3×#237 | — | 4 | 1 | no | — |
| 118 | C3×#235 | — | 2 | 1 | no | — |
| 119 | C3×#235 | C23 | 1 | 1 | yes | characteristic |
| 120 | C2×C3×D12 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 122 | C2×C3×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 123 | D3×#67 | — | 4 | 1 | no | — |
| 124 | #3802 | — | 2 | 1 | no | — |
| 125 | D3×D12 | — | 2 | 1 | no | — |
| 126 | #3796 | — | 2 | 1 | no | — |
| 127 | #3795 | — | 2 | 1 | no | — |
| 128 | C32×Q16 | — | 2 | 1 | no | — |
| 129 | C32×SD16 | — | 2 | 1 | no | — |
| 130 | C32×M16 | C23 | 1 | 1 | yes | characteristic |
| 131 | #3756 | — | 2 | 1 | no | — |
| 132 | #3756 | — | 2 | 1 | no | — |
| 133 | #3756 | D4 | 1 | 1 | yes | characteristic |
| 134 | #3755 | D4 | 1 | 1 | yes | characteristic |
| 135 | #3754 | D4 | 1 | 1 | yes | characteristic |
| 136 | #3753 | D4 | 1 | 1 | yes | characteristic |
| 137 | C2×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 138 | #3746 | — | 2 | 1 | no | — |
| 139 | #3744 | — | 2 | 1 | no | — |
| 140 | #3743 | — | 2 | 1 | no | — |
| 141 | C8×C3⋊D3 | — | 2 | 1 | no | — |
| 142 | C3×#216 | — | 2 | 1 | no | — |
| 143 | C3×#215 | — | 2 | 1 | no | — |
| 144 | C3×#215 | — | 2 | 1 | no | — |
| 145 | C3×#215 | — | 2 | 1 | no | — |
| 146 | C3×#215 | — | 2 | 1 | no | — |
| 147 | C3×#213 | — | 2 | 1 | no | — |
| 148 | C3×Dic3⋊C4 | — | 4 | 1 | no | — |
| 149 | C3×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 150 | C3×#208 | — | 2 | 1 | no | — |
| 151 | C3×#208 | C23 | 1 | 1 | yes | characteristic |
| 152 | C3×#208 | C23 | 1 | 1 | yes | characteristic |
| 153 | C3×#208 | C23 | 1 | 1 | yes | characteristic |
| 154 | C2×C3×C3⋊C8 | — | 2 | 1 | no | — |
| 155 | C2×C3×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 156 | (C2×D3)⋊Dic3 | — | 4 | 1 | no | — |
| 157 | #3719 | — | 2 | 1 | no | — |
| 158 | #3719 | — | 2 | 1 | no | — |
| 159 | #3719 | — | 2 | 1 | no | — |
| 160 | #3719 | — | 2 | 1 | no | — |
| 161 | #3719 | — | 2 | 1 | no | — |
| 162 | #3719 | D4 | 1 | 1 | yes | characteristic |
| 163 | #3717 | — | 2 | 1 | no | — |
| 164 | #3717 | — | 2 | 1 | no | — |
| 165 | #3717 | D4 | 1 | 1 | yes | characteristic |
| 166 | #3716 | — | 2 | 1 | no | — |
| 167 | #3716 | — | 2 | 1 | no | — |
| 168 | #3716 | D4 | 1 | 1 | yes | characteristic |
| 169 | #3715 | — | 2 | 1 | no | — |
| 170 | #3715 | — | 2 | 1 | no | — |
| 171 | #3714 | — | 2 | 1 | no | — |
| 172 | #3714 | D4 | 1 | 1 | yes | characteristic |
| 173 | #3712 | — | 2 | 1 | no | — |
| 174 | #3711 | — | 2 | 1 | no | — |
| 175 | #3710 | — | 2 | 1 | no | — |
| 176 | D3×C3⋊C8 | — | 2 | 1 | no | — |
| 177 | #3289 | — | 9 | 1 | no | Sylow |
| 178 | C3×2−1+4 | — | 3 | 1 | no | — |
| 179 | #1010 | — | 3 | 1 | no | — |
| 180 | #1010 | — | 3 | 1 | no | — |
| 181 | #1010 | — | 6 | 1 | no | — |
| 182 | #1010 | C2×D3 | 1 | 1 | yes | characteristic |
| 183 | #1009 | — | 3 | 1 | no | — |
| 184 | #1007 | — | 3 | 1 | no | — |
| 185 | #1007 | — | 3 | 1 | no | — |
| 186 | #1007 | — | 6 | 1 | no | — |
| 187 | #1004 | — | 3 | 1 | no | — |
| 188 | C3×#137 | — | 2 | 1 | no | — |
| 189 | C3×#137 | — | 3 | 1 | no | — |
| 190 | C3×#137 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 191 | C3×#137 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 192 | C3×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 193 | C2×C3×SD16 | — | 3 | 1 | no | — |
| 194 | C3×#131 | — | 3 | 1 | no | — |
| 195 | C3×C4⋊Q8 | — | 3 | 1 | no | — |
| 196 | #951 | — | 3 | 1 | no | — |
| 197 | #951 | — | 6 | 1 | no | — |
| 198 | #950 | — | 3 | 1 | no | — |
| 199 | #950 | — | 3 | 1 | no | — |
| 200 | #950 | — | 3 | 1 | no | — |
| 201 | #950 | — | 6 | 1 | no | — |
| 202 | #950 | — | 6 | 1 | no | — |
| 203 | #950 | — | 6 | 1 | no | — |
| 204 | #949 | — | 6 | 1 | no | — |
| 205 | #949 | C2×D3 | 1 | 1 | yes | characteristic |
| 206 | #948 | — | 3 | 1 | no | — |
| 207 | #948 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 208 | #944 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 209 | C2×#216 | — | 3 | 1 | no | — |
| 210 | C2×#216 | — | 3 | 1 | no | — |
| 211 | C2×#216 | — | 3 | 1 | no | — |
| 212 | C2×#216 | — | 6 | 1 | no | — |
| 213 | C2×#216 | — | 6 | 1 | no | — |
| 214 | #942 | — | 3 | 1 | no | — |
| 215 | #942 | — | 3 | 1 | no | — |
| 216 | #942 | — | 6 | 1 | no | — |
| 217 | #942 | — | 6 | 1 | no | — |
| 218 | #942 | C2×D3 | 1 | 1 | yes | characteristic |
| 219 | C2×#215 | — | 3 | 1 | no | — |
| 220 | C2×#215 | — | 6 | 1 | no | — |
| 221 | C2×#215 | C2×D3 | 1 | 1 | yes | characteristic |
| 222 | #936 | — | 3 | 1 | no | — |
| 223 | C2×#214 | — | 3 | 1 | no | — |
| 224 | #932 | — | 3 | 1 | no | — |
| 225 | #919 | — | 6 | 1 | no | — |
| 226 | #918 | — | 6 | 1 | no | — |
| 227 | #918 | — | 6 | 1 | no | — |
| 228 | #918 | — | 6 | 1 | no | — |
| 229 | #918 | — | 6 | 2 | no | — |
| 230 | D3×Q16 | — | 6 | 1 | no | — |
| 231 | D3×Q16 | — | 6 | 1 | no | — |
| 232 | D3×Q16 | — | 6 | 2 | no | — |
| 233 | #916 | — | 6 | 1 | no | — |
| 234 | #916 | — | 6 | 1 | no | — |
| 235 | #916 | — | 6 | 1 | no | — |
| 236 | #916 | — | 6 | 2 | no | — |
| 237 | #915 | — | 6 | 1 | no | — |
| 238 | #915 | — | 6 | 1 | no | — |
| 239 | #915 | — | 6 | 1 | no | — |
| 240 | #915 | — | 6 | 1 | no | — |
| 241 | #915 | — | 6 | 2 | no | — |
| 242 | #914 | — | 6 | 1 | no | — |
| 243 | #914 | — | 6 | 1 | no | — |
| 244 | D3×SD16 | — | 6 | 1 | no | — |
| 245 | D3×SD16 | — | 6 | 1 | no | — |
| 246 | D3×SD16 | — | 6 | 1 | no | — |
| 247 | #912 | — | 6 | 1 | no | — |
| 248 | #911 | — | 6 | 1 | no | — |
| 249 | #909 | — | 3 | 1 | no | — |
| 250 | #909 | — | 3 | 1 | no | — |
| 251 | #909 | — | 3 | 1 | no | — |
| 252 | #909 | — | 3 | 1 | no | — |
| 253 | #909 | — | 3 | 1 | no | — |
| 254 | #909 | — | 6 | 1 | no | — |
| 255 | #909 | — | 6 | 1 | no | — |
| 256 | #909 | — | 6 | 1 | no | — |
| 257 | #908 | — | 3 | 1 | no | — |
| 258 | #907 | — | 3 | 1 | no | — |
| 259 | #907 | — | 3 | 1 | no | — |
| 260 | #907 | — | 3 | 1 | no | — |
| 261 | #907 | — | 3 | 1 | no | — |
| 262 | #907 | — | 6 | 1 | no | — |
| 263 | C2×Dic12 | — | 3 | 1 | no | — |
| 264 | C2×Dic12 | — | 6 | 1 | no | — |
| 265 | #904 | — | 3 | 1 | no | — |
| 266 | #904 | — | 6 | 1 | no | — |
| 267 | #901 | — | 3 | 1 | no | — |
| 268 | #875 | — | 3 | 1 | no | — |
| 269 | C3×#108 | — | 3 | 1 | no | — |
| 270 | C3×#104 | — | 3 | 1 | no | — |
| 271 | C3×#104 | — | 3 | 1 | no | — |
| 272 | C3×#101 | — | 3 | 1 | no | — |
| 273 | C3×#101 | — | 3 | 1 | no | — |
| 274 | C3×#100 | — | 3 | 1 | no | — |
| 275 | #837 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 276 | #836 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 277 | #825 | — | 3 | 1 | no | — |
| 278 | #825 | — | 3 | 1 | no | — |
| 279 | #825 | C2×D3 | 1 | 1 | yes | characteristic |
| 280 | #824 | — | 3 | 1 | no | — |
| 281 | #824 | — | 3 | 1 | no | — |
| 282 | #824 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 283 | #823 | C2×D3 | 1 | 1 | yes | characteristic |
| 284 | #822 | — | 3 | 1 | no | — |
| 285 | #822 | — | 3 | 1 | no | — |
| 286 | #822 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 287 | #815 | — | 3 | 1 | no | — |
| 288 | #805 | — | 3 | 1 | no | — |
| 289 | #805 | — | 3 | 1 | no | — |
| 290 | #803 | — | 3 | 1 | no | — |
| 291 | C22×C3×D3 | — | 2 | 1 | no | — |
| 292 | C2×D32 | — | 4 | 1 | no | — |
| 293 | C32×Q8 | — | 2 | 1 | no | — |
| 294 | C32×Q8 | — | 2 | 1 | no | — |
| 295 | C32×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 296 | C32×D4 | — | 2 | 1 | no | — |
| 297 | C32×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 298 | C2×C32×C4 | — | 2 | 1 | no | — |
| 299 | C2×C32×C4 | — | 2 | 1 | no | — |
| 300 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 301 | #638 | — | 2 | 1 | no | — |
| 302 | #638 | — | 2 | 1 | no | — |
| 303 | #638 | — | 4 | 1 | no | — |
| 304 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 305 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 306 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 307 | C4⋊(C3⋊D3) | C2×D4 | 1 | 1 | yes | characteristic |
| 308 | C4⋊(C3⋊D3) | C2×D4 | 1 | 1 | yes | characteristic |
| 309 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 310 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 311 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 312 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 313 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 314 | #634 | — | 2 | 1 | no | — |
| 315 | #634 | — | 2 | 1 | no | — |
| 316 | #634 | — | 4 | 1 | no | — |
| 317 | #634 | — | 4 | 1 | no | — |
| 318 | #634 | C2×D4 | 1 | 1 | yes | characteristic |
| 319 | #634 | C2×D4 | 1 | 1 | yes | characteristic |
| 320 | C3×#67 | — | 2 | 1 | no | — |
| 321 | C3×#67 | — | 4 | 1 | no | — |
| 322 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 323 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 324 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 325 | C3×D12 | — | 2 | 1 | no | — |
| 326 | C3×D12 | — | 2 | 1 | no | — |
| 327 | C3×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 328 | C3×C4×D3 | — | 2 | 1 | no | — |
| 329 | C3×C4×D3 | — | 4 | 1 | no | — |
| 330 | C3×Dic6 | — | 2 | 1 | no | — |
| 331 | C3×Dic6 | — | 2 | 1 | no | — |
| 332 | C3×Dic6 | — | 4 | 1 | no | — |
| 333 | C3×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 334 | #626 | — | 4 | 1 | no | — |
| 335 | #625 | — | 4 | 1 | no | — |
| 336 | D3×Dic3 | — | 4 | 1 | no | — |
| 337 | C32×C8 | — | 2 | 1 | no | — |
| 338 | C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 339 | C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 340 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 341 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 342 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 343 | C3×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 344 | C3×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 345 | #578 | — | 9 | 1 | no | — |
| 346 | #578 | — | 9 | 1 | no | — |
| 347 | #577 | — | 9 | 1 | no | — |
| 348 | #577 | — | 9 | 1 | no | — |
| 349 | #497 | — | 9 | 1 | no | — |
| 350 | #473 | — | 9 | 1 | no | — |
| 351 | #473 | — | 9 | 1 | no | — |
| 352 | #471 | — | 3 | 1 | no | — |
| 353 | #471 | — | 9 | 1 | no | — |
| 354 | #456 | — | 3 | 1 | no | — |
| 355 | #456 | — | 9 | 1 | no | — |
| 356 | #455 | — | 9 | 1 | no | — |
| 357 | #454 | — | 9 | 1 | no | — |
| 358 | #444 | — | 9 | 1 | no | — |
| 359 | #444 | — | 9 | 1 | no | — |
| 360 | C3×#41 | — | 2 | 1 | no | — |
| 361 | C3×#41 | — | 3 | 1 | no | — |
| 362 | C3×#41 | — | 6 | 1 | no | — |
| 363 | C3×#41 | — | 6 | 1 | no | — |
| 364 | C3×#41 | — | 12 | 1 | no | — |
| 365 | C3×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 366 | C3×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 367 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 368 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 369 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 370 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 371 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 372 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 373 | C2×C3×D4 | — | 3 | 1 | no | — |
| 374 | C2×#67 | — | 12 | 1 | no | — |
| 375 | #239 | — | 6 | 1 | no | — |
| 376 | #239 | — | 6 | 1 | no | — |
| 377 | #239 | — | 6 | 1 | no | — |
| 378 | #239 | — | 6 | 1 | no | — |
| 379 | #239 | — | 6 | 1 | no | — |
| 380 | #239 | — | 6 | 2 | no | — |
| 381 | #239 | — | 12 | 1 | no | — |
| 382 | D3×Q8 | — | 2 | 1 | no | — |
| 383 | D3×Q8 | — | 6 | 1 | no | — |
| 384 | D3×Q8 | — | 6 | 1 | no | — |
| 385 | D3×Q8 | — | 6 | 1 | no | — |
| 386 | D3×Q8 | — | 6 | 1 | no | — |
| 387 | D3×Q8 | — | 6 | 2 | no | — |
| 388 | D3×Q8 | — | 6 | 2 | no | — |
| 389 | D3×Q8 | — | 6 | 1 | no | — |
| 390 | D3×Q8 | — | 6 | 1 | no | — |
| 391 | D3×Q8 | — | 12 | 1 | no | — |
| 392 | #237 | — | 2 | 1 | no | — |
| 393 | #237 | — | 4 | 1 | no | — |
| 394 | #237 | — | 6 | 1 | no | — |
| 395 | #237 | — | 6 | 2 | no | — |
| 396 | #237 | — | 6 | 1 | no | — |
| 397 | #237 | — | 6 | 1 | no | — |
| 398 | #237 | — | 6 | 1 | no | — |
| 399 | #237 | — | 12 | 1 | no | — |
| 400 | #237 | — | 12 | 1 | no | — |
| 401 | #237 | — | 12 | 2 | no | — |
| 402 | D3×D4 | — | 6 | 1 | no | — |
| 403 | D3×D4 | — | 6 | 1 | no | — |
| 404 | D3×D4 | — | 6 | 1 | no | — |
| 405 | D3×D4 | — | 12 | 1 | no | — |
| 406 | #235 | — | 2 | 1 | no | — |
| 407 | #235 | — | 3 | 1 | no | — |
| 408 | #235 | — | 3 | 1 | no | — |
| 409 | #235 | — | 3 | 1 | no | — |
| 410 | #235 | — | 3 | 1 | no | — |
| 411 | #235 | — | 6 | 1 | no | — |
| 412 | #235 | — | 6 | 1 | no | — |
| 413 | #235 | — | 6 | 1 | no | — |
| 414 | #235 | — | 6 | 1 | no | — |
| 415 | #235 | — | 6 | 1 | no | — |
| 416 | #235 | — | 12 | 1 | no | — |
| 417 | #235 | — | 12 | 1 | no | — |
| 418 | #235 | — | 12 | 1 | no | — |
| 419 | #235 | — | 12 | 2 | no | — |
| 420 | #235 | C22×D3 | 1 | 1 | yes | characteristic |
| 421 | C2×D12 | — | 6 | 1 | no | — |
| 422 | C2×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 423 | C2×Dic6 | — | 2 | 1 | no | — |
| 424 | C2×Dic6 | — | 3 | 1 | no | — |
| 425 | C2×Dic6 | — | 3 | 1 | no | — |
| 426 | C2×Dic6 | — | 6 | 1 | no | — |
| 427 | C2×Dic6 | — | 6 | 1 | no | — |
| 428 | C2×Dic6 | — | 6 | 1 | no | — |
| 429 | C2×Dic6 | — | 12 | 1 | no | — |
| 430 | C2×Dic6 | C22×D3 | 1 | 1 | yes | characteristic |
| 431 | C3×Q16 | — | 2 | 2 | no | — |
| 432 | C3×Q16 | — | 2 | 1 | no | — |
| 433 | C3×Q16 | — | 2 | 1 | no | — |
| 434 | C3×Q16 | — | 6 | 1 | no | — |
| 435 | C3×SD16 | — | 2 | 2 | no | — |
| 436 | C3×SD16 | — | 2 | 1 | no | — |
| 437 | C3×SD16 | — | 2 | 1 | no | — |
| 438 | C3×SD16 | — | 6 | 1 | no | — |
| 439 | C3×SD16 | — | 6 | 1 | no | — |
| 440 | C3×SD16 | — | 6 | 1 | no | — |
| 441 | C3×SD16 | — | 6 | 1 | no | — |
| 442 | C3×D8 | — | 6 | 1 | no | — |
| 443 | C3×M16 | — | 2 | 1 | no | — |
| 444 | C3×M16 | — | 3 | 1 | no | — |
| 445 | C3×M16 | — | 3 | 1 | no | — |
| 446 | C3×M16 | — | 3 | 1 | no | — |
| 447 | C3×M16 | — | 6 | 1 | no | — |
| 448 | C3×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 449 | C3×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 450 | C2×C3×C8 | — | 3 | 1 | no | — |
| 451 | C2×C3×C8 | — | 6 | 1 | no | — |
| 452 | C3×C4⋊C4 | — | 12 | 1 | no | — |
| 453 | C3×C42 | — | 3 | 1 | no | — |
| 454 | #217 | — | 12 | 1 | no | — |
| 455 | #216 | — | 2 | 1 | no | — |
| 456 | #216 | — | 3 | 1 | no | — |
| 457 | #216 | — | 3 | 1 | no | — |
| 458 | #216 | — | 3 | 1 | no | — |
| 459 | #216 | — | 6 | 1 | no | — |
| 460 | #216 | — | 6 | 1 | no | — |
| 461 | #216 | — | 6 | 1 | no | — |
| 462 | #216 | — | 6 | 1 | no | — |
| 463 | #216 | — | 6 | 1 | no | — |
| 464 | #216 | — | 6 | 1 | no | — |
| 465 | #216 | — | 6 | 1 | no | — |
| 466 | #216 | — | 6 | 1 | no | — |
| 467 | #216 | — | 6 | 2 | no | — |
| 468 | #216 | — | 6 | 2 | no | — |
| 469 | #216 | — | 6 | 1 | no | — |
| 470 | #216 | — | 6 | 1 | no | — |
| 471 | #215 | — | 2 | 1 | no | — |
| 472 | #215 | — | 2 | 1 | no | — |
| 473 | #215 | — | 2 | 1 | no | — |
| 474 | #215 | — | 2 | 1 | no | — |
| 475 | #215 | — | 3 | 1 | no | — |
| 476 | #215 | — | 3 | 1 | no | — |
| 477 | #215 | — | 3 | 1 | no | — |
| 478 | #215 | — | 6 | 1 | no | — |
| 479 | #215 | — | 6 | 1 | no | — |
| 480 | #215 | — | 6 | 1 | no | — |
| 481 | #215 | — | 6 | 1 | no | — |
| 482 | #215 | — | 6 | 1 | no | — |
| 483 | #214 | — | 3 | 1 | no | — |
| 484 | #214 | — | 3 | 1 | no | — |
| 485 | #214 | — | 3 | 1 | no | — |
| 486 | #214 | — | 6 | 1 | no | — |
| 487 | #214 | — | 6 | 1 | no | — |
| 488 | #214 | — | 6 | 1 | no | — |
| 489 | #214 | — | 6 | 1 | no | — |
| 490 | #214 | — | 6 | 1 | no | — |
| 491 | #213 | — | 2 | 1 | no | — |
| 492 | #213 | — | 3 | 1 | no | — |
| 493 | #213 | — | 3 | 1 | no | — |
| 494 | #213 | — | 3 | 1 | no | — |
| 495 | #213 | — | 6 | 1 | no | — |
| 496 | #213 | — | 6 | 1 | no | — |
| 497 | (C2×D3)⋊C4 | — | 12 | 1 | no | — |
| 498 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 499 | C4×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 500 | #208 | — | 2 | 1 | no | — |
| 501 | #208 | — | 6 | 1 | no | — |
| 502 | #208 | C22×D3 | 1 | 1 | yes | characteristic |
| 503 | #208 | C22×D3 | 1 | 1 | yes | characteristic |
| 504 | #208 | C22×D3 | 1 | 1 | yes | characteristic |
| 505 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 506 | C2×C3⋊C8 | — | 3 | 1 | no | — |
| 507 | C2×C3⋊C8 | — | 3 | 1 | no | — |
| 508 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 509 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 510 | C2×C3⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 511 | Dic12 | — | 3 | 1 | no | — |
| 512 | Dic12 | — | 6 | 1 | no | — |
| 513 | Dic12 | — | 6 | 1 | no | — |
| 514 | Dic12 | — | 6 | 2 | no | — |
| 515 | Dic12 | — | 6 | 1 | no | — |
| 516 | Dic12 | — | 6 | 1 | no | — |
| 517 | Dic12 | — | 6 | 1 | no | — |
| 518 | Dic12 | — | 6 | 1 | no | — |
| 519 | Dic12 | — | 6 | 1 | no | — |
| 520 | D24 | — | 3 | 1 | no | — |
| 521 | D24 | — | 6 | 1 | no | — |
| 522 | #204 | — | 3 | 1 | no | — |
| 523 | #204 | — | 3 | 1 | no | — |
| 524 | #204 | — | 6 | 1 | no | — |
| 525 | #204 | — | 6 | 1 | no | — |
| 526 | #204 | — | 6 | 2 | no | — |
| 527 | #204 | — | 6 | 1 | no | — |
| 528 | #204 | — | 6 | 1 | no | — |
| 529 | #204 | — | 6 | 1 | no | — |
| 530 | #204 | — | 6 | 1 | no | — |
| 531 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 532 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 533 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 534 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 535 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 536 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 537 | D3×C8 | — | 6 | 1 | no | — |
| 538 | D3×C8 | — | 6 | 1 | no | — |
| 539 | D3×C8 | — | 6 | 1 | no | — |
| 540 | D3×C8 | — | 6 | 1 | no | — |
| 541 | D3×C8 | — | 6 | 2 | no | — |
| 542 | D3×C8 | — | 6 | 1 | no | — |
| 543 | C22×C32 | — | 2 | 1 | no | — |
| 544 | C22×C32 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 545 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 546 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 547 | C2×C3×D3 | — | 2 | 1 | no | — |
| 548 | C2×C3×D3 | — | 4 | 1 | no | — |
| 549 | C2×C3×D3 | — | 8 | 1 | no | — |
| 550 | D32 | — | 16 | 1 | no | — |
| 551 | C32×C4 | — | 2 | 1 | no | — |
| 552 | C32×C4 | — | 4 | 1 | no | — |
| 553 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 554 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 555 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 556 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 557 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 558 | C3×Dic3 | — | 2 | 1 | no | — |
| 559 | C3×Dic3 | — | 4 | 1 | no | — |
| 560 | C3×Dic3 | — | 4 | 1 | no | — |
| 561 | 2−1+4 | — | 3 | 1 | no | — |
| 562 | 2−1+4 | — | 9 | 1 | no | — |
| 563 | 2−1+4 | — | 9 | 1 | no | — |
| 564 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 565 | #137 | — | 3 | 1 | no | — |
| 566 | #137 | — | 9 | 1 | no | — |
| 567 | #137 | — | 9 | 1 | no | — |
| 568 | #137 | — | 9 | 1 | no | — |
| 569 | #137 | — | 9 | 1 | no | — |
| 570 | #137 | — | 18 | 1 | no | — |
| 571 | #137 | — | 18 | 1 | no | — |
| 572 | #137 | — | 18 | 1 | no | — |
| 573 | #137 | — | 18 | 1 | no | — |
| 574 | #137 | — | 18 | 1 | no | — |
| 575 | #137 | — | 18 | 1 | no | — |
| 576 | #137 | D32 | 1 | 1 | yes | characteristic, complemented |
| 577 | AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 578 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 579 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 580 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 581 | #135 | — | 9 | 1 | no | — |
| 582 | #135 | — | 9 | 1 | no | — |
| 583 | #135 | — | 18 | 1 | no | — |
| 584 | #135 | — | 18 | 1 | no | — |
| 585 | #135 | — | 18 | 1 | no | — |
| 586 | #135 | — | 18 | 1 | no | — |
| 587 | C2×Q16 | — | 9 | 1 | no | — |
| 588 | C2×Q16 | — | 9 | 1 | no | — |
| 589 | C2×Q16 | — | 18 | 1 | no | — |
| 590 | C2×Q16 | — | 18 | 1 | no | — |
| 591 | C2×SD16 | — | 3 | 1 | no | — |
| 592 | C2×SD16 | — | 9 | 1 | no | — |
| 593 | C2×SD16 | — | 18 | 1 | no | — |
| 594 | C2×SD16 | — | 18 | 1 | no | — |
| 595 | #131 | — | 3 | 1 | no | — |
| 596 | #131 | — | 9 | 1 | no | — |
| 597 | #131 | — | 9 | 1 | no | — |
| 598 | #131 | — | 9 | 1 | no | — |
| 599 | C4⋊Q8 | — | 3 | 1 | no | — |
| 600 | #124 | — | 9 | 1 | no | — |
| 601 | #108 | — | 3 | 1 | no | — |
| 602 | #108 | — | 9 | 1 | no | — |
| 603 | #104 | — | 3 | 1 | no | — |
| 604 | #104 | — | 3 | 1 | no | — |
| 605 | #104 | — | 9 | 1 | no | — |
| 606 | #104 | — | 9 | 1 | no | — |
| 607 | #101 | — | 3 | 1 | no | — |
| 608 | #101 | — | 3 | 1 | no | — |
| 609 | #101 | — | 9 | 1 | no | — |
| 610 | #100 | — | 3 | 1 | no | — |
| 611 | #97 | — | 9 | 1 | no | — |
| 612 | C23×C3 | — | 6 | 1 | no | — |
| 613 | C22×D3 | — | 2 | 1 | no | — |
| 614 | C22×D3 | — | 12 | 1 | no | — |
| 615 | C22×D3 | — | 12 | 1 | no | — |
| 616 | C3×Q8 | — | 2 | 2 | no | — |
| 617 | C3×Q8 | — | 2 | 1 | no | — |
| 618 | C3×Q8 | — | 2 | 1 | no | — |
| 619 | C3×Q8 | — | 2 | 1 | no | — |
| 620 | C3×Q8 | — | 2 | 1 | no | — |
| 621 | C3×Q8 | — | 2 | 1 | no | — |
| 622 | C3×Q8 | — | 3 | 1 | no | — |
| 623 | C3×Q8 | — | 4 | 1 | no | — |
| 624 | C3×Q8 | — | 6 | 1 | no | — |
| 625 | C3×Q8 | — | 6 | 1 | no | — |
| 626 | C3×Q8 | — | 12 | 1 | no | — |
| 627 | C3×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 628 | C3×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 629 | C3×D4 | — | 2 | 1 | no | — |
| 630 | C3×D4 | — | 2 | 1 | no | — |
| 631 | C3×D4 | — | 2 | 1 | no | — |
| 632 | C3×D4 | — | 3 | 1 | no | — |
| 633 | C3×D4 | — | 4 | 1 | no | — |
| 634 | C3×D4 | — | 6 | 1 | no | — |
| 635 | C3×D4 | — | 6 | 1 | no | — |
| 636 | C3×D4 | — | 6 | 1 | no | — |
| 637 | C3×D4 | — | 12 | 1 | no | — |
| 638 | C3×D4 | D3×D4 | 1 | 1 | yes | characteristic |
| 639 | C3×D4 | D3×D4 | 1 | 1 | yes | characteristic |
| 640 | C2×C3×C4 | — | 2 | 1 | no | — |
| 641 | C2×C3×C4 | — | 2 | 1 | no | — |
| 642 | C2×C3×C4 | — | 2 | 1 | no | — |
| 643 | C2×C3×C4 | — | 2 | 1 | no | — |
| 644 | C2×C3×C4 | — | 2 | 1 | no | — |
| 645 | C2×C3×C4 | — | 4 | 1 | no | — |
| 646 | C2×C3×C4 | — | 4 | 1 | no | — |
| 647 | C2×C3×C4 | — | 6 | 1 | no | — |
| 648 | C2×C3×C4 | — | 6 | 1 | no | — |
| 649 | C2×C3×C4 | — | 6 | 1 | no | — |
| 650 | C2×C3×C4 | — | 12 | 1 | no | — |
| 651 | C2×C3×C4 | — | 12 | 1 | no | — |
| 652 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 653 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 654 | #67 | — | 2 | 1 | no | — |
| 655 | #67 | — | 4 | 1 | no | — |
| 656 | #67 | — | 6 | 2 | no | — |
| 657 | #67 | — | 6 | 1 | no | — |
| 658 | #67 | — | 6 | 1 | no | — |
| 659 | #67 | — | 6 | 1 | no | — |
| 660 | #67 | — | 6 | 1 | no | — |
| 661 | #67 | — | 12 | 1 | no | — |
| 662 | #67 | — | 12 | 1 | no | — |
| 663 | #67 | — | 12 | 1 | no | — |
| 664 | #67 | — | 12 | 1 | no | — |
| 665 | #67 | — | 12 | 1 | no | — |
| 666 | #67 | — | 12 | 1 | no | — |
| 667 | #67 | — | 12 | 2 | no | — |
| 668 | C2×Dic3 | — | 2 | 1 | no | — |
| 669 | C2×Dic3 | — | 2 | 1 | no | — |
| 670 | C2×Dic3 | — | 4 | 1 | no | — |
| 671 | C2×Dic3 | — | 6 | 1 | no | — |
| 672 | C2×Dic3 | — | 6 | 1 | no | — |
| 673 | C2×Dic3 | — | 12 | 1 | no | — |
| 674 | C2×Dic3 | — | 12 | 1 | no | — |
| 675 | C2×Dic3 | — | 12 | 1 | no | — |
| 676 | C2×Dic3 | — | 12 | 1 | no | — |
| 677 | C2×Dic3 | — | 12 | 2 | no | — |
| 678 | D12 | — | 2 | 1 | no | — |
| 679 | D12 | — | 2 | 1 | no | — |
| 680 | D12 | — | 3 | 1 | no | — |
| 681 | D12 | — | 3 | 1 | no | — |
| 682 | D12 | — | 3 | 1 | no | — |
| 683 | D12 | — | 3 | 1 | no | — |
| 684 | D12 | — | 6 | 1 | no | — |
| 685 | D12 | — | 6 | 1 | no | — |
| 686 | D12 | — | 12 | 1 | no | — |
| 687 | D12 | — | 12 | 1 | no | — |
| 688 | D12 | — | 12 | 2 | no | — |
| 689 | D12 | — | 12 | 1 | no | — |
| 690 | D12 | D3×D4 | 1 | 1 | yes | characteristic |
| 691 | C4×D3 | — | 2 | 1 | no | — |
| 692 | C4×D3 | — | 4 | 1 | no | — |
| 693 | C4×D3 | — | 6 | 2 | no | — |
| 694 | C4×D3 | — | 6 | 1 | no | — |
| 695 | C4×D3 | — | 6 | 1 | no | — |
| 696 | C4×D3 | — | 6 | 1 | no | — |
| 697 | C4×D3 | — | 6 | 1 | no | — |
| 698 | C4×D3 | — | 12 | 1 | no | — |
| 699 | C4×D3 | — | 12 | 1 | no | — |
| 700 | C4×D3 | — | 12 | 1 | no | — |
| 701 | C4×D3 | — | 12 | 1 | no | — |
| 702 | C4×D3 | — | 12 | 1 | no | — |
| 703 | C4×D3 | — | 12 | 2 | no | — |
| 704 | C4×D3 | — | 12 | 1 | no | — |
| 705 | C4×D3 | — | 12 | 1 | no | — |
| 706 | C4×D3 | — | 12 | 1 | no | — |
| 707 | C4×D3 | — | 12 | 2 | no | — |
| 708 | C4×D3 | — | 12 | 2 | no | — |
| 709 | Dic6 | — | 2 | 1 | no | — |
| 710 | Dic6 | — | 2 | 1 | no | — |
| 711 | Dic6 | — | 3 | 1 | no | — |
| 712 | Dic6 | — | 3 | 1 | no | — |
| 713 | Dic6 | — | 3 | 1 | no | — |
| 714 | Dic6 | — | 3 | 1 | no | — |
| 715 | Dic6 | — | 4 | 1 | no | — |
| 716 | Dic6 | — | 6 | 1 | no | — |
| 717 | Dic6 | — | 6 | 1 | no | — |
| 718 | Dic6 | — | 6 | 2 | no | — |
| 719 | Dic6 | — | 6 | 1 | no | — |
| 720 | Dic6 | — | 6 | 1 | no | — |
| 721 | Dic6 | — | 6 | 1 | no | — |
| 722 | Dic6 | — | 6 | 1 | no | — |
| 723 | Dic6 | — | 12 | 1 | no | — |
| 724 | Dic6 | — | 12 | 1 | no | — |
| 725 | Dic6 | — | 12 | 1 | no | — |
| 726 | Dic6 | — | 12 | 1 | no | — |
| 727 | Dic6 | — | 12 | 1 | no | — |
| 728 | Dic6 | — | 12 | 2 | no | — |
| 729 | Dic6 | — | 12 | 2 | no | — |
| 730 | Dic6 | D3×D4 | 1 | 1 | yes | characteristic |
| 731 | C3×C8 | — | 2 | 2 | no | — |
| 732 | C3×C8 | — | 2 | 1 | no | — |
| 733 | C3×C8 | — | 2 | 1 | no | — |
| 734 | C3×C8 | — | 3 | 1 | no | — |
| 735 | C3×C8 | — | 3 | 1 | no | — |
| 736 | C3×C8 | — | 6 | 1 | no | — |
| 737 | C3×C8 | — | 6 | 1 | no | — |
| 738 | C3×C8 | — | 6 | 1 | no | — |
| 739 | C3⋊C8 | — | 2 | 1 | no | — |
| 740 | C3⋊C8 | — | 2 | 1 | no | — |
| 741 | C3⋊C8 | — | 2 | 1 | no | — |
| 742 | C3⋊C8 | — | 3 | 1 | no | — |
| 743 | C3⋊C8 | — | 3 | 1 | no | — |
| 744 | C3⋊C8 | — | 3 | 1 | no | — |
| 745 | C3⋊C8 | — | 3 | 1 | no | — |
| 746 | C3⋊C8 | — | 6 | 1 | no | — |
| 747 | C3⋊C8 | — | 6 | 1 | no | — |
| 748 | C3⋊C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 749 | C3⋊C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 750 | C2×C32 | — | 2 | 1 | no | — |
| 751 | C2×C32 | — | 4 | 1 | no | — |
| 752 | C2×C32 | D42 | 1 | 1 | yes | characteristic |
| 753 | C3⋊D3 | — | 4 | 1 | no | — |
| 754 | C3⋊D3 | — | 4 | 1 | no | — |
| 755 | C3×D3 | — | 4 | 1 | no | — |
| 756 | C3×D3 | — | 8 | 1 | no | — |
| 757 | #41 | — | 3 | 1 | no | — |
| 758 | #41 | — | 6 | 1 | no | — |
| 759 | #41 | — | 6 | 1 | no | — |
| 760 | #41 | — | 9 | 1 | no | — |
| 761 | #41 | — | 9 | 1 | no | — |
| 762 | #41 | — | 12 | 1 | no | — |
| 763 | #41 | — | 18 | 1 | no | — |
| 764 | #41 | — | 18 | 1 | no | — |
| 765 | #41 | — | 18 | 1 | no | — |
| 766 | #41 | — | 18 | 1 | no | — |
| 767 | #41 | — | 18 | 1 | no | — |
| 768 | #41 | — | 18 | 1 | no | — |
| 769 | #41 | — | 36 | 1 | no | — |
| 770 | #41 | — | 36 | 1 | no | — |
| 771 | #41 | C2×D32 | 1 | 1 | yes | characteristic |
| 772 | C2×Q8 | — | 3 | 1 | no | — |
| 773 | C2×Q8 | — | 6 | 1 | no | — |
| 774 | C2×Q8 | — | 6 | 1 | no | — |
| 775 | C2×Q8 | — | 9 | 1 | no | — |
| 776 | C2×Q8 | — | 18 | 1 | no | — |
| 777 | C2×Q8 | — | 18 | 1 | no | — |
| 778 | C2×Q8 | — | 18 | 1 | no | — |
| 779 | C2×Q8 | — | 18 | 1 | no | — |
| 780 | C2×Q8 | C2×D32 | 1 | 1 | yes | characteristic |
| 781 | C2×D4 | — | 3 | 1 | no | — |
| 782 | C2×D4 | — | 18 | 1 | no | — |
| 783 | C2×D4 | — | 18 | 1 | no | — |
| 784 | C2×D4 | — | 36 | 1 | no | — |
| 785 | Q16 | — | 2 | 1 | no | — |
| 786 | Q16 | — | 6 | 1 | no | — |
| 787 | Q16 | — | 9 | 1 | no | — |
| 788 | Q16 | — | 9 | 1 | no | — |
| 789 | Q16 | — | 18 | 1 | no | — |
| 790 | Q16 | — | 18 | 1 | no | — |
| 791 | Q16 | — | 18 | 1 | no | — |
| 792 | Q16 | — | 18 | 1 | no | — |
| 793 | Q16 | — | 18 | 1 | no | — |
| 794 | Q16 | — | 18 | 1 | no | — |
| 795 | Q16 | — | 18 | 1 | no | — |
| 796 | Q16 | — | 18 | 1 | no | — |
| 797 | SD16 | — | 2 | 1 | no | — |
| 798 | SD16 | — | 6 | 1 | no | — |
| 799 | SD16 | — | 6 | 1 | no | — |
| 800 | SD16 | — | 6 | 1 | no | — |
| 801 | SD16 | — | 6 | 1 | no | — |
| 802 | SD16 | — | 9 | 1 | no | — |
| 803 | SD16 | — | 9 | 1 | no | — |
| 804 | SD16 | — | 9 | 1 | no | — |
| 805 | SD16 | — | 9 | 1 | no | — |
| 806 | SD16 | — | 18 | 1 | no | — |
| 807 | SD16 | — | 18 | 1 | no | — |
| 808 | SD16 | — | 18 | 1 | no | — |
| 809 | SD16 | — | 18 | 1 | no | — |
| 810 | SD16 | — | 18 | 1 | no | — |
| 811 | SD16 | — | 18 | 1 | no | — |
| 812 | SD16 | — | 18 | 1 | no | — |
| 813 | D8 | — | 6 | 1 | no | — |
| 814 | D8 | — | 9 | 1 | no | — |
| 815 | D8 | — | 9 | 1 | no | — |
| 816 | D8 | — | 18 | 1 | no | — |
| 817 | M16 | — | 3 | 1 | no | — |
| 818 | M16 | — | 3 | 1 | no | — |
| 819 | M16 | — | 3 | 1 | no | — |
| 820 | M16 | — | 6 | 1 | no | — |
| 821 | M16 | — | 18 | 1 | no | — |
| 822 | M16 | — | 18 | 1 | no | — |
| 823 | M16 | — | 18 | 1 | no | — |
| 824 | M16 | C2×D32 | 1 | 1 | yes | characteristic |
| 825 | C2×C8 | — | 3 | 1 | no | — |
| 826 | C2×C8 | — | 6 | 1 | no | — |
| 827 | C2×C8 | — | 9 | 1 | no | — |
| 828 | C2×C8 | — | 18 | 1 | no | — |
| 829 | C2×C8 | — | 18 | 1 | no | — |
| 830 | C2×C8 | — | 18 | 1 | no | — |
| 831 | C4⋊C4 | — | 12 | 1 | no | — |
| 832 | C22⋊C4 | — | 36 | 1 | no | — |
| 833 | C42 | — | 3 | 1 | no | — |
| 834 | C22×C3 | — | 2 | 1 | no | — |
| 835 | C22×C3 | — | 2 | 1 | no | — |
| 836 | C22×C3 | — | 2 | 1 | no | — |
| 837 | C22×C3 | — | 4 | 1 | no | — |
| 838 | C22×C3 | — | 6 | 1 | no | — |
| 839 | C22×C3 | — | 12 | 1 | no | — |
| 840 | C22×C3 | — | 24 | 1 | no | — |
| 841 | C22×C3 | #1004 | 1 | 1 | yes | characteristic |
| 842 | C22×C3 | #1009 | 1 | 1 | yes | characteristic |
| 843 | C2×D3 | — | 2 | 1 | no | — |
| 844 | C2×D3 | — | 4 | 1 | no | — |
| 845 | C2×D3 | — | 6 | 2 | no | — |
| 846 | C2×D3 | — | 6 | 1 | no | — |
| 847 | C2×D3 | — | 6 | 1 | no | — |
| 848 | C2×D3 | — | 6 | 1 | no | — |
| 849 | C2×D3 | — | 6 | 1 | no | — |
| 850 | C2×D3 | — | 8 | 1 | no | — |
| 851 | C2×D3 | — | 12 | 1 | no | — |
| 852 | C2×D3 | — | 48 | 1 | no | — |
| 853 | C2×D3 | — | 48 | 1 | no | — |
| 854 | C3×C4 | — | 2 | 1 | no | — |
| 855 | C3×C4 | — | 2 | 1 | no | — |
| 856 | C3×C4 | — | 2 | 1 | no | — |
| 857 | C3×C4 | — | 2 | 1 | no | — |
| 858 | C3×C4 | — | 4 | 1 | no | — |
| 859 | C3×C4 | — | 4 | 2 | no | — |
| 860 | C3×C4 | — | 4 | 1 | no | — |
| 861 | C3×C4 | — | 4 | 1 | no | — |
| 862 | C3×C4 | — | 6 | 1 | no | — |
| 863 | C3×C4 | — | 12 | 1 | no | — |
| 864 | C3×C4 | — | 12 | 1 | no | — |
| 865 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 866 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 867 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 868 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 869 | Dic3 | — | 2 | 1 | no | — |
| 870 | Dic3 | — | 4 | 1 | no | — |
| 871 | Dic3 | — | 4 | 1 | no | — |
| 872 | Dic3 | — | 6 | 2 | no | — |
| 873 | Dic3 | — | 6 | 1 | no | — |
| 874 | Dic3 | — | 6 | 1 | no | — |
| 875 | Dic3 | — | 6 | 1 | no | — |
| 876 | Dic3 | — | 6 | 1 | no | — |
| 877 | Dic3 | — | 12 | 1 | no | — |
| 878 | Dic3 | — | 12 | 2 | no | — |
| 879 | Dic3 | — | 12 | 1 | no | — |
| 880 | Dic3 | — | 12 | 1 | no | — |
| 881 | C32 | #3289 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 882 | C23 | — | 6 | 1 | no | — |
| 883 | C23 | — | 36 | 1 | no | — |
| 884 | Q8 | — | 2 | 1 | no | — |
| 885 | Q8 | — | 2 | 1 | no | — |
| 886 | Q8 | — | 3 | 1 | no | — |
| 887 | Q8 | — | 6 | 1 | no | — |
| 888 | Q8 | — | 6 | 1 | no | — |
| 889 | Q8 | — | 9 | 1 | no | — |
| 890 | Q8 | — | 9 | 1 | no | — |
| 891 | Q8 | — | 12 | 1 | no | — |
| 892 | Q8 | — | 18 | 1 | no | — |
| 893 | Q8 | — | 18 | 1 | no | — |
| 894 | Q8 | — | 36 | 1 | no | — |
| 895 | Q8 | — | 36 | 1 | no | — |
| 896 | Q8 | #3811 | 1 | 1 | yes | characteristic |
| 897 | D4 | — | 2 | 1 | no | — |
| 898 | D4 | — | 3 | 1 | no | — |
| 899 | D4 | — | 6 | 1 | no | — |
| 900 | D4 | — | 6 | 1 | no | — |
| 901 | D4 | — | 6 | 1 | no | — |
| 902 | D4 | — | 9 | 1 | no | — |
| 903 | D4 | — | 9 | 1 | no | — |
| 904 | D4 | — | 12 | 1 | no | — |
| 905 | D4 | — | 18 | 1 | no | — |
| 906 | D4 | — | 18 | 1 | no | — |
| 907 | D4 | — | 36 | 1 | no | — |
| 908 | D4 | — | 36 | 1 | no | — |
| 909 | D4 | — | 36 | 1 | no | — |
| 910 | D4 | — | 36 | 1 | no | — |
| 911 | D4 | #3811 | 1 | 1 | yes | characteristic |
| 912 | C2×C4 | — | 2 | 1 | no | — |
| 913 | C2×C4 | — | 2 | 1 | no | — |
| 914 | C2×C4 | — | 6 | 1 | no | — |
| 915 | C2×C4 | — | 6 | 1 | no | — |
| 916 | C2×C4 | — | 6 | 1 | no | — |
| 917 | C2×C4 | — | 12 | 1 | no | — |
| 918 | C2×C4 | — | 12 | 1 | no | — |
| 919 | C2×C4 | — | 18 | 1 | no | — |
| 920 | C2×C4 | — | 18 | 1 | no | — |
| 921 | C2×C4 | — | 18 | 1 | no | — |
| 922 | C2×C4 | — | 36 | 1 | no | — |
| 923 | C2×C4 | — | 36 | 1 | no | — |
| 924 | C2×C4 | — | 36 | 1 | no | — |
| 925 | C2×C4 | — | 36 | 1 | no | — |
| 926 | C2×C4 | — | 36 | 1 | no | — |
| 927 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 928 | C8 | — | 2 | 1 | no | — |
| 929 | C8 | — | 3 | 1 | no | — |
| 930 | C8 | — | 3 | 1 | no | — |
| 931 | C8 | — | 6 | 1 | no | — |
| 932 | C8 | — | 6 | 1 | no | — |
| 933 | C8 | — | 6 | 1 | no | — |
| 934 | C8 | — | 9 | 1 | no | — |
| 935 | C8 | — | 9 | 1 | no | — |
| 936 | C2×C3 | — | 2 | 1 | no | — |
| 937 | C2×C3 | — | 2 | 1 | no | — |
| 938 | C2×C3 | — | 2 | 1 | no | — |
| 939 | C2×C3 | — | 4 | 1 | no | — |
| 940 | C2×C3 | — | 4 | 1 | no | — |
| 941 | C2×C3 | — | 4 | 1 | no | — |
| 942 | C2×C3 | — | 8 | 1 | no | — |
| 943 | C2×C3 | — | 12 | 1 | no | — |
| 944 | C2×C3 | — | 24 | 1 | no | — |
| 945 | C2×C3 | #5590 | 1 | 1 | yes | characteristic |
| 946 | C2×C3 | #5609 | 1 | 1 | yes | characteristic |
| 947 | D3 | — | 4 | 1 | no | — |
| 948 | D3 | — | 8 | 1 | no | — |
| 949 | D3 | — | 12 | 2 | no | — |
| 950 | D3 | — | 12 | 1 | no | — |
| 951 | D3 | — | 12 | 1 | no | — |
| 952 | D3 | — | 12 | 1 | no | — |
| 953 | D3 | — | 12 | 1 | no | — |
| 954 | D3 | — | 24 | 1 | no | — |
| 955 | C22 | — | 2 | 1 | no | — |
| 956 | C22 | — | 6 | 1 | no | — |
| 957 | C22 | — | 12 | 1 | no | — |
| 958 | C22 | — | 18 | 1 | no | — |
| 959 | C22 | — | 18 | 1 | no | — |
| 960 | C22 | — | 24 | 1 | no | — |
| 961 | C22 | — | 144 | 1 | no | — |
| 962 | C22 | #64314 | 1 | 1 | yes | characteristic |
| 963 | C4 | — | 2 | 1 | no | — |
| 964 | C4 | — | 4 | 1 | no | — |
| 965 | C4 | — | 6 | 1 | no | — |
| 966 | C4 | — | 12 | 1 | no | — |
| 967 | C4 | — | 12 | 1 | no | — |
| 968 | C4 | — | 18 | 1 | no | — |
| 969 | C4 | — | 18 | 1 | no | — |
| 970 | C4 | — | 36 | 1 | no | — |
| 971 | C4 | D32×D4 | 1 | 1 | yes | characteristic |
| 972 | C4 | C2×#3811 | 1 | 1 | yes | characteristic |
| 973 | C3 | — | 2 | 1 | no | — |
| 974 | C3 | #80301 | 1 | 1 | yes | characteristic, complemented |
| 975 | C3 | #80933 | 1 | 1 | yes | characteristic, complemented |
| 976 | C2 | — | 2 | 1 | no | — |
| 977 | C2 | — | 4 | 1 | no | — |
| 978 | C2 | — | 12 | 1 | no | — |
| 979 | C2 | — | 24 | 1 | no | — |
| 980 | C2 | — | 36 | 1 | no | — |
| 981 | C2 | — | 36 | 1 | no | — |
| 982 | C2 | #10595292 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596250 | C2 | semidirect |
| 2. #10595455 | C2 | semidirect |
| 3. #10595450 | C2 | semidirect |
| 4. #10595324 | C2 | semidirect |
| 5. C3×#5205 | C2 | semidirect |
| 6. C3×#5203 | C2 | semidirect |
| 7. #10591686 | C2 | semidirect |
| 8. #10591663 | C2 | semidirect |
| 9. #10591650 | C2 | semidirect |
| 10. #10591644 | C2 | semidirect |
| 11. #10591605 | C2 | semidirect |
| 12. #10591016 | C2 | semidirect |
| 13. #10590992 | C2 | semidirect |
| 14. #10590991 | C2 | semidirect |
| 15. #10590978 | C2 | semidirect |
| 18. #64367 | C22 | semidirect |
| 22. C32×#137 | C22 | semidirect |
| 24. C2×#3756 | C22 | semidirect |
| 30. #64116 | C22 | semidirect |
| 32. C3×#948 | C22 | semidirect |
| 33. C3×#944 | C22 | semidirect |
| 46. C2×#3719 | C22 | semidirect |
| 49. #63833 | C22 | semidirect |
| 58. C3×#837 | C22 | semidirect |
| 59. C3×#836 | C22 | semidirect |
| 61. C3×#824 | C22 | semidirect |
| 63. C3×#822 | C22 | semidirect |
| 64. #63578 | C22 | semidirect |
| 66. #63570 | C22 | semidirect |
| 67. #63561 | C22 | semidirect |
| 68. #63554 | C22 | semidirect |
| 80. #5205 | D3 | semidirect |
| 82. #5203 | D3 | semidirect |
| 190. C3×#137 | C2×D3 | semidirect |
| 191. C3×#137 | C2×D3 | semidirect |
| 207. #948 | C2×D3 | semidirect |
| 208. #944 | C2×D3 | semidirect |
| 275. #837 | C2×D3 | semidirect |
| 276. #836 | C2×D3 | semidirect |
| 282. #824 | C2×D3 | semidirect |
| 286. #822 | C2×D3 | semidirect |
| 576. #137 | D32 | semidirect |
| 881. C32 | #3289 | semidirect |
| 974. C3 | #80301 | semidirect |
| 975. C3 | #80933 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596250 | 2 |
| #10595455 | 2 |
| #10595450 | 2 |
| #10595324 | 2 |
| C3×#5205 | 2 |
| C3×#5203 | 2 |
| #10591686 | 2 |
| #10591663 | 2 |
| #10591650 | 2 |
| #10591644 | 2 |
| #10591605 | 2 |
| #10591016 | 2 |
| #10590992 | 2 |
| #10590991 | 2 |
| #10590978 | 2 |
| #80933 | 3 |
| #80301 | 3 |