Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
10698 conjugacy classes of subgroups.
The subgroup lattice has 658 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #87572 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C3×#3584 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #87299 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | D3×#578 | C2 | 1 | 8 | yes | maximal, complemented |
| 5 | #87208 | C2 | 1 | 16 | yes | maximal, complemented |
| 6 | #87203 | C2 | 1 | 8 | yes | maximal, complemented |
| 7 | #87201 | C2 | 1 | 12 | yes | maximal, complemented |
| 8 | #87187 | C2 | 1 | 6 | yes | maximal, complemented |
| 9 | C2×#5771 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | C2×#5753 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #87160 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #63093 | — | 3 | 1 | no | maximal, Sylow |
| 13 | C3×#585 | C22 | 1 | 2 | yes | complemented |
| 14 | D3×2−1+4 | — | 2 | 4 | no | — |
| 15 | D3×2−1+4 | C22 | 1 | 16 | yes | complemented |
| 16 | #5966 | — | 2 | 12 | no | — |
| 17 | #5966 | C22 | 1 | 16 | yes | complemented |
| 18 | #5964 | — | 2 | 8 | no | — |
| 19 | #5964 | C22 | 1 | 1 | yes | characteristic |
| 20 | #5964 | C22 | 1 | 12 | yes | complemented |
| 21 | C2×#1010 | — | 2 | 8 | no | — |
| 22 | C2×#1010 | C22 | 1 | 12 | yes | complemented |
| 23 | C2×#1010 | C22 | 1 | 2 | yes | complemented |
| 24 | C3×#578 | C22 | 1 | 4 | yes | complemented |
| 25 | C3×#577 | C22 | 1 | 8 | yes | complemented |
| 26 | C3×#576 | C22 | 1 | 4 | yes | complemented |
| 27 | C3×#575 | C22 | 1 | 6 | yes | complemented |
| 28 | C2×C3×#135 | C22 | 1 | 6 | yes | complemented |
| 29 | C2×C3×#131 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #5838 | C22 | 1 | 16 | yes | complemented |
| 31 | #5836 | C22 | 1 | 16 | yes | complemented |
| 32 | C2×#951 | C22 | 1 | 12 | yes | complemented |
| 33 | #5822 | C22 | 1 | 12 | yes | complemented |
| 34 | #5819 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #5779 | C22 | 1 | 48 | yes | complemented |
| 36 | D3×#137 | C22 | 1 | 48 | yes | complemented |
| 37 | #5775 | C22 | 1 | 48 | yes | complemented |
| 38 | #5773 | C22 | 1 | 48 | yes | complemented |
| 39 | #5771 | C22 | 1 | 12 | yes | complemented |
| 40 | #5771 | C22 | 1 | 24 | yes | complemented |
| 41 | #5771 | C22 | 1 | 24 | yes | complemented |
| 42 | #5771 | C22 | 1 | 24 | yes | complemented |
| 43 | #5770 | C22 | 1 | 24 | yes | complemented |
| 44 | #5769 | C22 | 1 | 4 | yes | complemented |
| 45 | #5768 | C22 | 1 | 24 | yes | complemented |
| 46 | D3×#135 | C22 | 1 | 24 | yes | complemented |
| 47 | #5766 | C22 | 1 | 12 | yes | complemented |
| 48 | C2×D3×Q16 | C22 | 1 | 12 | yes | complemented |
| 49 | #5762 | C22 | 1 | 24 | yes | complemented |
| 50 | C2×#915 | C22 | 1 | 24 | yes | complemented |
| 51 | #5757 | C22 | 1 | 12 | yes | complemented |
| 52 | C2×#912 | C22 | 1 | 12 | yes | complemented |
| 53 | #5753 | C22 | 1 | 8 | yes | complemented |
| 54 | #5753 | C22 | 1 | 8 | yes | complemented |
| 55 | #5750 | C22 | 1 | 8 | yes | complemented |
| 56 | D3×#131 | C22 | 1 | 8 | yes | complemented |
| 57 | C2×#909 | C22 | 1 | 6 | yes | complemented |
| 58 | #5745 | C22 | 1 | 6 | yes | complemented |
| 59 | C22×Dic12 | C22 | 1 | 3 | yes | complemented |
| 60 | C2×#904 | C22 | 1 | 3 | yes | complemented |
| 61 | C2×#901 | C22 | 1 | 6 | yes | complemented |
| 62 | 2−1+6 | — | 3 | 2 | no | — |
| 63 | #3586 | — | 3 | 2 | no | — |
| 64 | #3586 | — | 3 | 16 | no | — |
| 65 | #3586 | — | 3 | 12 | no | — |
| 66 | #3584 | — | 3 | 8 | no | — |
| 67 | #3584 | — | 3 | 6 | no | — |
| 68 | #3584 | D3 | 1 | 1 | yes | characteristic, complemented |
| 69 | C2×#578 | — | 3 | 8 | no | — |
| 70 | C2×#578 | — | 3 | 6 | no | — |
| 71 | C2×#578 | — | 3 | 1 | no | — |
| 72 | #3573 | — | 3 | 1 | no | — |
| 73 | C3×2−1+4 | — | 2 | 2 | no | — |
| 74 | C3×2−1+4 | C23 | 1 | 8 | yes | — |
| 75 | C3×H(5,𝔽2) | — | 2 | 6 | no | — |
| 76 | C3×H(5,𝔽2) | C23 | 1 | 8 | yes | — |
| 77 | C2×C3×#41 | — | 2 | 8 | no | — |
| 78 | C2×C3×#41 | C23 | 1 | 12 | yes | — |
| 79 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 80 | #1010 | — | 2 | 8 | no | — |
| 81 | #1010 | — | 2 | 16 | no | — |
| 82 | #1010 | — | 2 | 48 | no | — |
| 83 | #1010 | — | 2 | 24 | no | — |
| 84 | #1010 | — | 2 | 24 | no | — |
| 85 | #1010 | — | 2 | 12 | no | — |
| 86 | #1010 | D4 | 1 | 4 | yes | — |
| 87 | #1010 | C23 | 1 | 24 | yes | — |
| 88 | #1010 | C23 | 1 | 48 | yes | — |
| 89 | #1010 | C23 | 1 | 16 | yes | — |
| 90 | #1009 | — | 2 | 12 | no | — |
| 91 | #1009 | D4 | 1 | 4 | yes | — |
| 92 | #1009 | C23 | 1 | 8 | yes | — |
| 93 | D3×#41 | — | 2 | 16 | no | — |
| 94 | D3×#41 | — | 2 | 48 | no | — |
| 95 | D3×#41 | — | 2 | 24 | no | — |
| 96 | D3×#41 | C23 | 1 | 48 | yes | — |
| 97 | D3×#41 | C23 | 1 | 8 | yes | — |
| 98 | #1007 | — | 2 | 16 | no | — |
| 99 | #1007 | D4 | 1 | 2 | yes | — |
| 100 | #1007 | C23 | 1 | 24 | yes | — |
| 101 | C2×D3×Q8 | — | 2 | 2 | no | — |
| 102 | C2×D3×Q8 | — | 2 | 16 | no | — |
| 103 | C2×D3×Q8 | C23 | 1 | 24 | yes | — |
| 104 | #1004 | — | 2 | 24 | no | — |
| 105 | #1004 | — | 2 | 48 | no | — |
| 106 | #1004 | D4 | 1 | 6 | yes | — |
| 107 | #1004 | C23 | 1 | 24 | yes | — |
| 108 | C2×#237 | — | 2 | 6 | no | — |
| 109 | C2×#237 | — | 2 | 24 | no | — |
| 110 | C2×#237 | — | 2 | 48 | no | — |
| 111 | C2×#237 | C23 | 1 | 24 | yes | — |
| 112 | C2×#235 | — | 2 | 24 | no | — |
| 113 | C2×#235 | — | 2 | 12 | no | — |
| 114 | C2×#235 | C23 | 1 | 6 | yes | — |
| 115 | C2×#235 | C23 | 1 | 6 | yes | — |
| 116 | C22×Dic6 | — | 2 | 12 | no | — |
| 117 | C22×Dic6 | C23 | 1 | 6 | yes | — |
| 118 | C3×#137 | C23 | 1 | 24 | yes | — |
| 119 | C3×AGL(1,ℤ/8) | C23 | 1 | 24 | yes | — |
| 120 | C3×#135 | C23 | 1 | 4 | yes | — |
| 121 | C3×#135 | C23 | 1 | 12 | yes | — |
| 122 | C3×#135 | C23 | 1 | 12 | yes | — |
| 123 | C3×#135 | C23 | 1 | 12 | yes | — |
| 124 | C2×C3×Q16 | C23 | 1 | 6 | yes | — |
| 125 | C2×C3×SD16 | C23 | 1 | 12 | yes | — |
| 126 | C2×C3×D8 | C23 | 1 | 6 | yes | — |
| 127 | C3×#131 | C23 | 1 | 4 | yes | — |
| 128 | C3×#131 | C23 | 1 | 4 | yes | — |
| 129 | C2×C3×M16 | C23 | 1 | 3 | yes | — |
| 130 | C22×C3×C8 | C23 | 1 | 3 | yes | — |
| 131 | #951 | C23 | 1 | 24 | yes | — |
| 132 | #951 | C23 | 1 | 48 | yes | — |
| 133 | #950 | C23 | 1 | 48 | yes | — |
| 134 | #949 | C23 | 1 | 8 | yes | — |
| 135 | #948 | C23 | 1 | 8 | yes | — |
| 136 | C2×#216 | C23 | 1 | 24 | yes | — |
| 137 | #942 | C23 | 1 | 24 | yes | — |
| 138 | C2×#214 | C23 | 1 | 24 | yes | — |
| 139 | #932 | C23 | 1 | 24 | yes | — |
| 140 | C2×#208 | C23 | 1 | 6 | yes | — |
| 141 | #919 | C23 | 1 | 8 | yes | — |
| 142 | #918 | C23 | 1 | 48 | yes | — |
| 143 | D3×Q16 | C23 | 1 | 24 | yes | — |
| 144 | D3×Q16 | C23 | 1 | 48 | yes | — |
| 145 | #916 | C23 | 1 | 48 | yes | — |
| 146 | #915 | C23 | 1 | 48 | yes | — |
| 147 | #915 | C23 | 1 | 96 | yes | — |
| 148 | #914 | C23 | 1 | 16 | yes | — |
| 149 | D3×SD16 | C23 | 1 | 48 | yes | — |
| 150 | #912 | C23 | 1 | 24 | yes | — |
| 151 | #912 | C23 | 1 | 48 | yes | — |
| 152 | #911 | C23 | 1 | 48 | yes | — |
| 153 | D3×D8 | C23 | 1 | 8 | yes | — |
| 154 | #909 | C23 | 1 | 48 | yes | — |
| 155 | #907 | C23 | 1 | 24 | yes | — |
| 156 | D3×M16 | C23 | 1 | 24 | yes | — |
| 157 | C2×Dic12 | C23 | 1 | 3 | yes | — |
| 158 | C2×Dic12 | C23 | 1 | 6 | yes | — |
| 159 | C2×Dic12 | C23 | 1 | 12 | yes | — |
| 160 | C2×Dic12 | C23 | 1 | 12 | yes | — |
| 161 | #904 | C23 | 1 | 12 | yes | — |
| 162 | #904 | C23 | 1 | 12 | yes | — |
| 163 | C2×D24 | C23 | 1 | 1 | yes | characteristic |
| 164 | C2×#204 | C23 | 1 | 6 | yes | — |
| 165 | #901 | C23 | 1 | 4 | yes | — |
| 166 | #901 | C23 | 1 | 12 | yes | — |
| 167 | #901 | C23 | 1 | 12 | yes | — |
| 168 | #901 | C23 | 1 | 12 | yes | — |
| 169 | C2×ΓL(1,𝔽25) | C23 | 1 | 12 | yes | — |
| 170 | C2×D3×C8 | C23 | 1 | 12 | yes | — |
| 171 | #585 | — | 3 | 1 | no | — |
| 172 | #585 | — | 3 | 16 | no | — |
| 173 | #585 | — | 3 | 12 | no | — |
| 174 | #585 | — | 6 | 8 | no | — |
| 175 | #585 | — | 6 | 12 | no | — |
| 176 | #585 | C2×D3 | 1 | 2 | yes | complemented |
| 177 | C2×2−1+4 | — | 3 | 16 | no | — |
| 178 | C2×2−1+4 | — | 3 | 12 | no | — |
| 179 | C2×2−1+4 | — | 3 | 2 | no | — |
| 180 | C2×2−1+4 | — | 6 | 8 | no | — |
| 181 | C2×2−1+4 | — | 6 | 4 | no | — |
| 182 | #578 | — | 3 | 16 | no | — |
| 183 | #578 | — | 3 | 48 | no | — |
| 184 | #578 | — | 3 | 24 | no | — |
| 185 | #578 | — | 3 | 12 | no | — |
| 186 | #578 | — | 3 | 24 | no | — |
| 187 | #578 | — | 3 | 24 | no | — |
| 188 | #578 | — | 3 | 12 | no | — |
| 189 | #578 | — | 3 | 8 | no | — |
| 190 | #578 | — | 3 | 8 | no | — |
| 191 | #578 | C2×D3 | 1 | 4 | yes | complemented |
| 192 | #577 | — | 3 | 16 | no | — |
| 193 | #577 | — | 3 | 48 | no | — |
| 194 | #577 | — | 3 | 24 | no | — |
| 195 | #577 | — | 3 | 24 | no | — |
| 196 | #577 | C2×D3 | 1 | 8 | yes | complemented |
| 197 | #576 | — | 3 | 4 | no | — |
| 198 | #576 | — | 3 | 12 | no | — |
| 199 | #576 | C2×D3 | 1 | 4 | yes | complemented |
| 200 | #575 | — | 3 | 12 | no | — |
| 201 | #575 | — | 3 | 48 | no | — |
| 202 | #575 | — | 3 | 24 | no | — |
| 203 | #575 | C2×D3 | 1 | 6 | yes | complemented |
| 204 | C2×#137 | — | 3 | 12 | no | — |
| 205 | C2×#137 | — | 3 | 48 | no | — |
| 206 | C2×#137 | — | 3 | 24 | no | — |
| 207 | C2×#137 | — | 3 | 6 | no | — |
| 208 | C2×#135 | — | 3 | 24 | no | — |
| 209 | C2×#135 | — | 3 | 12 | no | — |
| 210 | C2×#135 | — | 3 | 3 | no | — |
| 211 | C2×#135 | C2×D3 | 1 | 6 | yes | complemented |
| 212 | C22×Q16 | — | 3 | 12 | no | — |
| 213 | C22×Q16 | — | 3 | 3 | no | — |
| 214 | #568 | — | 3 | 1 | no | — |
| 215 | #568 | — | 3 | 8 | no | — |
| 216 | #568 | — | 3 | 6 | no | — |
| 217 | C2×#131 | — | 3 | 8 | no | — |
| 218 | C2×#131 | — | 3 | 6 | no | — |
| 219 | C2×#131 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 220 | C3×#41 | — | 2 | 8 | no | — |
| 221 | C3×#41 | — | 2 | 24 | no | — |
| 222 | C3×#41 | — | 2 | 12 | no | — |
| 223 | C3×#41 | — | 2 | 12 | no | — |
| 224 | C3×#41 | C2×D4 | 1 | 4 | yes | — |
| 225 | C3×#41 | C24 | 1 | 8 | yes | — |
| 226 | C3×#41 | C24 | 1 | 24 | yes | — |
| 227 | C3×#41 | C24 | 1 | 4 | yes | — |
| 228 | C2×C3×Q8 | — | 2 | 8 | no | — |
| 229 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C2×C3×Q8 | C24 | 1 | 12 | yes | — |
| 231 | C2×C3×D4 | — | 2 | 12 | no | — |
| 232 | C2×C3×D4 | — | 2 | 24 | no | — |
| 233 | C2×C3×D4 | C2×D4 | 1 | 3 | yes | — |
| 234 | C2×C3×D4 | C24 | 1 | 12 | yes | — |
| 235 | C22×C3×C4 | — | 2 | 12 | no | — |
| 236 | C22×C3×C4 | C24 | 1 | 3 | yes | — |
| 237 | C2×#67 | — | 2 | 6 | no | — |
| 238 | C2×#67 | — | 2 | 24 | no | — |
| 239 | C2×#67 | — | 2 | 48 | no | — |
| 240 | C2×#67 | C2×D4 | 1 | 12 | yes | — |
| 241 | C22×Dic3 | — | 2 | 6 | no | — |
| 242 | C22×Dic3 | — | 2 | 24 | no | — |
| 243 | #239 | — | 2 | 24 | no | — |
| 244 | #239 | C2×D4 | 1 | 8 | yes | — |
| 245 | #239 | C24 | 1 | 16 | yes | — |
| 246 | D3×Q8 | — | 2 | 16 | no | — |
| 247 | D3×Q8 | — | 2 | 48 | no | — |
| 248 | D3×Q8 | — | 2 | 24 | no | — |
| 249 | D3×Q8 | C2×D4 | 1 | 8 | yes | — |
| 250 | D3×Q8 | C24 | 1 | 48 | yes | — |
| 251 | #237 | — | 2 | 48 | no | — |
| 252 | #237 | — | 2 | 96 | no | — |
| 253 | #237 | — | 2 | 48 | no | — |
| 254 | #237 | — | 2 | 48 | no | — |
| 255 | #237 | — | 2 | 48 | no | — |
| 256 | #237 | — | 2 | 24 | no | — |
| 257 | #237 | C2×D4 | 1 | 24 | yes | — |
| 258 | #237 | C24 | 1 | 48 | yes | — |
| 259 | D3×D4 | — | 2 | 48 | no | — |
| 260 | D3×D4 | — | 2 | 16 | no | — |
| 261 | D3×D4 | — | 2 | 24 | no | — |
| 262 | D3×D4 | C2×D4 | 1 | 24 | yes | — |
| 263 | D3×D4 | C24 | 1 | 16 | yes | — |
| 264 | #235 | — | 2 | 12 | no | — |
| 265 | #235 | — | 2 | 48 | no | — |
| 266 | #235 | — | 2 | 24 | no | — |
| 267 | #235 | — | 2 | 48 | no | — |
| 268 | #235 | — | 2 | 48 | no | — |
| 269 | #235 | — | 2 | 8 | no | — |
| 270 | #235 | C2×D4 | 1 | 12 | yes | — |
| 271 | #235 | C2×D4 | 1 | 12 | yes | — |
| 272 | #235 | C24 | 1 | 4 | yes | — |
| 273 | #235 | C24 | 1 | 12 | yes | — |
| 274 | #235 | C24 | 1 | 24 | yes | — |
| 275 | C2×D12 | — | 2 | 8 | no | — |
| 276 | C2×D12 | C2×D4 | 1 | 6 | yes | — |
| 277 | C2×D12 | C24 | 1 | 2 | yes | — |
| 278 | C2×C4×D3 | — | 2 | 24 | no | — |
| 279 | C2×C4×D3 | — | 2 | 6 | no | — |
| 280 | C2×C4×D3 | — | 2 | 48 | no | — |
| 281 | C2×C4×D3 | C24 | 1 | 12 | yes | — |
| 282 | C2×Dic6 | — | 2 | 12 | no | — |
| 283 | C2×Dic6 | — | 2 | 6 | no | — |
| 284 | C2×Dic6 | — | 2 | 24 | no | — |
| 285 | C2×Dic6 | — | 2 | 24 | no | — |
| 286 | C2×Dic6 | — | 2 | 48 | no | — |
| 287 | C2×Dic6 | C2×D4 | 1 | 6 | yes | — |
| 288 | C2×Dic6 | C24 | 1 | 6 | yes | — |
| 289 | C2×Dic6 | C24 | 1 | 24 | yes | — |
| 290 | C3×Q16 | C24 | 1 | 4 | yes | — |
| 291 | C3×Q16 | C24 | 1 | 12 | yes | — |
| 292 | C3×SD16 | C24 | 1 | 24 | yes | — |
| 293 | C3×SD16 | C24 | 1 | 8 | yes | — |
| 294 | C3×D8 | C24 | 1 | 4 | yes | — |
| 295 | C3×D8 | C24 | 1 | 12 | yes | — |
| 296 | C3×M16 | C24 | 1 | 12 | yes | — |
| 297 | C2×C3×C8 | C24 | 1 | 6 | yes | — |
| 298 | C2×C3×C8 | C24 | 1 | 6 | yes | — |
| 299 | C2×C3×C8 | C24 | 1 | 3 | yes | — |
| 300 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 301 | #216 | C24 | 1 | 48 | yes | — |
| 302 | #215 | C24 | 1 | 16 | yes | — |
| 303 | #214 | C24 | 1 | 48 | yes | — |
| 304 | #213 | C24 | 1 | 16 | yes | — |
| 305 | #208 | C24 | 1 | 4 | yes | — |
| 306 | #208 | C24 | 1 | 12 | yes | — |
| 307 | C2×C3⋊C8 | C24 | 1 | 12 | yes | — |
| 308 | Dic12 | C24 | 1 | 6 | yes | — |
| 309 | Dic12 | C24 | 1 | 6 | yes | — |
| 310 | Dic12 | C24 | 1 | 24 | yes | — |
| 311 | D24 | C24 | 1 | 2 | yes | — |
| 312 | D24 | C24 | 1 | 2 | yes | — |
| 313 | #204 | C24 | 1 | 24 | yes | — |
| 314 | ΓL(1,𝔽25) | C24 | 1 | 8 | yes | — |
| 315 | ΓL(1,𝔽25) | C24 | 1 | 24 | yes | — |
| 316 | D3×C8 | C24 | 1 | 8 | yes | — |
| 317 | D3×C8 | C24 | 1 | 24 | yes | — |
| 318 | 2−1+4 | — | 2 | 2 | no | — |
| 319 | 2−1+4 | — | 3 | 4 | no | — |
| 320 | 2−1+4 | — | 3 | 2 | no | — |
| 321 | 2−1+4 | — | 3 | 48 | no | — |
| 322 | 2−1+4 | — | 3 | 24 | no | — |
| 323 | 2−1+4 | — | 3 | 16 | no | — |
| 324 | 2−1+4 | — | 3 | 24 | no | — |
| 325 | 2−1+4 | — | 6 | 16 | no | — |
| 326 | 2−1+4 | — | 6 | 16 | no | — |
| 327 | 2−1+4 | — | 6 | 12 | no | — |
| 328 | 2−1+4 | — | 6 | 48 | no | — |
| 329 | 2−1+4 | — | 6 | 24 | no | — |
| 330 | 2−1+4 | — | 6 | 24 | no | — |
| 331 | 2−1+4 | — | 6 | 8 | no | — |
| 332 | 2−1+4 | C22×D3 | 1 | 8 | yes | — |
| 333 | H(5,𝔽2) | — | 2 | 6 | no | — |
| 334 | H(5,𝔽2) | — | 3 | 4 | no | — |
| 335 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 336 | H(5,𝔽2) | — | 3 | 8 | no | — |
| 337 | H(5,𝔽2) | — | 3 | 24 | no | — |
| 338 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 339 | H(5,𝔽2) | — | 6 | 48 | no | — |
| 340 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 341 | H(5,𝔽2) | C22×D3 | 1 | 8 | yes | — |
| 342 | C2×#41 | — | 2 | 8 | no | — |
| 343 | C2×#41 | — | 3 | 8 | no | — |
| 344 | C2×#41 | — | 3 | 6 | no | — |
| 345 | C2×#41 | — | 3 | 48 | no | — |
| 346 | C2×#41 | — | 3 | 24 | no | — |
| 347 | C2×#41 | — | 3 | 6 | no | — |
| 348 | C2×#41 | — | 6 | 12 | no | — |
| 349 | C2×#41 | — | 6 | 24 | no | — |
| 350 | C2×#41 | — | 6 | 24 | no | — |
| 351 | C2×#41 | — | 6 | 48 | no | — |
| 352 | C2×#41 | — | 6 | 48 | no | — |
| 353 | C2×#41 | — | 6 | 16 | no | — |
| 354 | C2×#41 | — | 6 | 24 | no | — |
| 355 | C2×#41 | — | 6 | 6 | no | — |
| 356 | C2×#41 | C22×D3 | 1 | 12 | yes | — |
| 357 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 358 | C22×Q8 | — | 3 | 24 | no | — |
| 359 | C22×Q8 | — | 3 | 6 | no | — |
| 360 | C22×Q8 | — | 6 | 12 | no | — |
| 361 | C22×Q8 | — | 6 | 16 | no | — |
| 362 | C22×Q8 | — | 6 | 2 | no | — |
| 363 | #137 | — | 3 | 48 | no | — |
| 364 | #137 | — | 3 | 24 | no | — |
| 365 | #137 | — | 3 | 24 | no | — |
| 366 | #137 | — | 3 | 48 | no | — |
| 367 | #137 | — | 3 | 96 | no | — |
| 368 | #137 | — | 3 | 48 | no | — |
| 369 | #137 | — | 3 | 48 | no | — |
| 370 | #137 | C22×D3 | 1 | 24 | yes | — |
| 371 | AGL(1,ℤ/8) | — | 3 | 8 | no | — |
| 372 | AGL(1,ℤ/8) | — | 3 | 24 | no | — |
| 373 | AGL(1,ℤ/8) | — | 3 | 16 | no | — |
| 374 | AGL(1,ℤ/8) | — | 3 | 48 | no | — |
| 375 | AGL(1,ℤ/8) | C22×D3 | 1 | 24 | yes | — |
| 376 | #135 | — | 3 | 48 | no | — |
| 377 | #135 | — | 3 | 8 | no | — |
| 378 | #135 | — | 3 | 48 | no | — |
| 379 | #135 | — | 3 | 24 | no | — |
| 380 | #135 | — | 3 | 48 | no | — |
| 381 | #135 | — | 3 | 12 | no | — |
| 382 | #135 | — | 3 | 12 | no | — |
| 383 | #135 | C22×D3 | 1 | 12 | yes | — |
| 384 | #135 | C22×D3 | 1 | 4 | yes | — |
| 385 | #135 | C22×D3 | 1 | 12 | yes | — |
| 386 | #135 | C22×D3 | 1 | 12 | yes | — |
| 387 | C2×Q16 | — | 3 | 24 | no | — |
| 388 | C2×Q16 | — | 3 | 24 | no | — |
| 389 | C2×Q16 | — | 3 | 48 | no | — |
| 390 | C2×Q16 | — | 3 | 12 | no | — |
| 391 | C2×Q16 | — | 3 | 3 | no | — |
| 392 | C2×Q16 | — | 3 | 12 | no | — |
| 393 | C2×Q16 | — | 3 | 6 | no | — |
| 394 | C2×Q16 | C22×D3 | 1 | 6 | yes | — |
| 395 | C2×SD16 | — | 3 | 24 | no | — |
| 396 | C2×SD16 | — | 3 | 48 | no | — |
| 397 | C2×SD16 | — | 3 | 6 | no | — |
| 398 | C2×SD16 | C22×D3 | 1 | 12 | yes | — |
| 399 | C2×D8 | — | 3 | 8 | no | — |
| 400 | C2×D8 | — | 3 | 1 | no | — |
| 401 | C2×D8 | C22×D3 | 1 | 6 | yes | — |
| 402 | #131 | — | 3 | 8 | no | — |
| 403 | #131 | — | 3 | 24 | no | — |
| 404 | #131 | — | 3 | 12 | no | — |
| 405 | #131 | — | 3 | 4 | no | — |
| 406 | #131 | — | 3 | 12 | no | — |
| 407 | #131 | — | 3 | 12 | no | — |
| 408 | #131 | C22×D3 | 1 | 4 | yes | — |
| 409 | #131 | C22×D3 | 1 | 4 | yes | — |
| 410 | C2×M16 | — | 3 | 6 | no | — |
| 411 | C2×M16 | — | 3 | 24 | no | — |
| 412 | C2×M16 | — | 3 | 12 | no | — |
| 413 | C2×M16 | C22×D3 | 1 | 3 | yes | — |
| 414 | C22×C8 | — | 3 | 12 | no | — |
| 415 | C22×C8 | C22×D3 | 1 | 3 | yes | — |
| 416 | C23×C3 | — | 2 | 12 | no | — |
| 417 | C23×C3 | C22×D4 | 1 | 3 | yes | — |
| 418 | C22×D3 | — | 2 | 2 | no | — |
| 419 | C22×D3 | — | 2 | 16 | no | — |
| 420 | C22×D3 | C22×D4 | 1 | 12 | yes | — |
| 421 | C3×Q8 | — | 2 | 12 | no | — |
| 422 | C3×Q8 | C22×D4 | 1 | 4 | yes | — |
| 423 | C3×Q8 | C25 | 1 | 8 | yes | — |
| 424 | C3×D4 | — | 2 | 8 | no | — |
| 425 | C3×D4 | — | 2 | 24 | no | — |
| 426 | C3×D4 | — | 2 | 12 | no | — |
| 427 | C3×D4 | C22×D4 | 1 | 12 | yes | — |
| 428 | C3×D4 | C25 | 1 | 8 | yes | — |
| 429 | C2×C3×C4 | — | 2 | 12 | no | — |
| 430 | C2×C3×C4 | — | 2 | 8 | no | — |
| 431 | C2×C3×C4 | — | 2 | 24 | no | — |
| 432 | C2×C3×C4 | C22×D4 | 1 | 6 | yes | — |
| 433 | C2×C3×C4 | C22×D4 | 1 | 3 | yes | — |
| 434 | C2×C3×C4 | C25 | 1 | 6 | yes | — |
| 435 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 436 | #67 | — | 2 | 24 | no | — |
| 437 | #67 | — | 2 | 48 | no | — |
| 438 | #67 | — | 2 | 16 | no | — |
| 439 | #67 | C22×D4 | 1 | 24 | yes | — |
| 440 | #67 | C22×D4 | 1 | 8 | yes | — |
| 441 | C2×Dic3 | — | 2 | 6 | no | — |
| 442 | C2×Dic3 | — | 2 | 24 | no | — |
| 443 | C2×Dic3 | — | 2 | 48 | no | — |
| 444 | C2×Dic3 | C22×D4 | 1 | 12 | yes | — |
| 445 | D12 | — | 2 | 16 | no | — |
| 446 | D12 | — | 2 | 2 | no | — |
| 447 | D12 | C22×D4 | 1 | 4 | yes | — |
| 448 | D12 | C22×D4 | 1 | 12 | yes | — |
| 449 | D12 | C25 | 1 | 4 | yes | — |
| 450 | C4×D3 | — | 2 | 48 | no | — |
| 451 | C4×D3 | — | 2 | 24 | no | — |
| 452 | C4×D3 | — | 2 | 16 | no | — |
| 453 | C4×D3 | C22×D4 | 1 | 24 | yes | — |
| 454 | C4×D3 | C25 | 1 | 8 | yes | — |
| 455 | Dic6 | — | 2 | 6 | no | — |
| 456 | Dic6 | — | 2 | 24 | no | — |
| 457 | Dic6 | — | 2 | 48 | no | — |
| 458 | Dic6 | C22×D4 | 1 | 4 | yes | — |
| 459 | Dic6 | C22×D4 | 1 | 12 | yes | — |
| 460 | Dic6 | C25 | 1 | 12 | yes | — |
| 461 | C3×C8 | C25 | 1 | 1 | yes | characteristic |
| 462 | C3×C8 | C25 | 1 | 6 | yes | — |
| 463 | C3×C8 | C25 | 1 | 1 | yes | characteristic |
| 464 | C3⋊C8 | C25 | 1 | 8 | yes | — |
| 465 | #41 | — | 2 | 8 | no | — |
| 466 | #41 | — | 2 | 24 | no | — |
| 467 | #41 | — | 2 | 12 | no | — |
| 468 | #41 | — | 2 | 12 | no | — |
| 469 | #41 | — | 3 | 8 | no | — |
| 470 | #41 | — | 3 | 24 | no | — |
| 471 | #41 | — | 3 | 12 | no | — |
| 472 | #41 | — | 3 | 12 | no | — |
| 473 | #41 | — | 3 | 12 | no | — |
| 474 | #41 | — | 3 | 4 | no | — |
| 475 | #41 | — | 3 | 16 | no | — |
| 476 | #41 | — | 3 | 48 | no | — |
| 477 | #41 | — | 3 | 24 | no | — |
| 478 | #41 | — | 6 | 48 | no | — |
| 479 | #41 | — | 6 | 48 | no | — |
| 480 | #41 | — | 6 | 24 | no | — |
| 481 | #41 | — | 6 | 48 | no | — |
| 482 | #41 | — | 6 | 8 | no | — |
| 483 | #41 | — | 6 | 48 | no | — |
| 484 | #41 | — | 6 | 48 | no | — |
| 485 | #41 | — | 6 | 48 | no | — |
| 486 | #41 | — | 6 | 96 | no | — |
| 487 | #41 | — | 6 | 24 | no | — |
| 488 | #41 | — | 6 | 24 | no | — |
| 489 | #41 | — | 6 | 48 | no | — |
| 490 | #41 | — | 6 | 12 | no | — |
| 491 | #41 | D3×D4 | 1 | 4 | yes | — |
| 492 | #41 | C23×D3 | 1 | 24 | yes | — |
| 493 | #41 | C23×D3 | 1 | 8 | yes | — |
| 494 | #41 | C23×D3 | 1 | 4 | yes | — |
| 495 | C2×Q8 | — | 2 | 8 | no | — |
| 496 | C2×Q8 | — | 3 | 8 | no | — |
| 497 | C2×Q8 | — | 3 | 6 | no | — |
| 498 | C2×Q8 | — | 3 | 48 | no | — |
| 499 | C2×Q8 | — | 3 | 24 | no | — |
| 500 | C2×Q8 | — | 3 | 6 | no | — |
| 501 | C2×Q8 | — | 6 | 24 | no | — |
| 502 | C2×Q8 | — | 6 | 24 | no | — |
| 503 | C2×Q8 | — | 6 | 48 | no | — |
| 504 | C2×Q8 | — | 6 | 48 | no | — |
| 505 | C2×Q8 | — | 6 | 24 | no | — |
| 506 | C2×Q8 | — | 6 | 16 | no | — |
| 507 | C2×Q8 | — | 6 | 12 | no | — |
| 508 | C2×Q8 | — | 6 | 6 | no | — |
| 509 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 510 | C2×Q8 | C23×D3 | 1 | 12 | yes | — |
| 511 | C2×D4 | — | 2 | 12 | no | — |
| 512 | C2×D4 | — | 2 | 24 | no | — |
| 513 | C2×D4 | — | 3 | 12 | no | — |
| 514 | C2×D4 | — | 3 | 24 | no | — |
| 515 | C2×D4 | — | 3 | 16 | no | — |
| 516 | C2×D4 | — | 3 | 6 | no | — |
| 517 | C2×D4 | — | 3 | 2 | no | — |
| 518 | C2×D4 | — | 6 | 8 | no | — |
| 519 | C2×D4 | — | 6 | 16 | no | — |
| 520 | C2×D4 | — | 6 | 24 | no | — |
| 521 | C2×D4 | — | 6 | 48 | no | — |
| 522 | C2×D4 | — | 6 | 48 | no | — |
| 523 | C2×D4 | — | 6 | 24 | no | — |
| 524 | C2×D4 | — | 6 | 6 | no | — |
| 525 | C2×D4 | D3×D4 | 1 | 3 | yes | — |
| 526 | C2×D4 | C23×D3 | 1 | 12 | yes | — |
| 527 | C22×C4 | — | 2 | 12 | no | — |
| 528 | C22×C4 | — | 3 | 12 | no | — |
| 529 | C22×C4 | — | 6 | 48 | no | — |
| 530 | C22×C4 | — | 6 | 24 | no | — |
| 531 | C22×C4 | — | 6 | 24 | no | — |
| 532 | C22×C4 | — | 6 | 6 | no | — |
| 533 | C22×C4 | — | 6 | 6 | no | — |
| 534 | C22×C4 | C23×D3 | 1 | 3 | yes | — |
| 535 | Q16 | — | 3 | 48 | no | — |
| 536 | Q16 | — | 3 | 6 | no | — |
| 537 | Q16 | — | 3 | 24 | no | — |
| 538 | Q16 | — | 3 | 6 | no | — |
| 539 | Q16 | C23×D3 | 1 | 4 | yes | — |
| 540 | Q16 | C23×D3 | 1 | 12 | yes | — |
| 541 | SD16 | — | 3 | 16 | no | — |
| 542 | SD16 | — | 3 | 48 | no | — |
| 543 | SD16 | — | 3 | 24 | no | — |
| 544 | SD16 | C23×D3 | 1 | 24 | yes | — |
| 545 | SD16 | C23×D3 | 1 | 8 | yes | — |
| 546 | D8 | — | 3 | 16 | no | — |
| 547 | D8 | — | 3 | 2 | no | — |
| 548 | D8 | — | 3 | 2 | no | — |
| 549 | D8 | C23×D3 | 1 | 4 | yes | — |
| 550 | D8 | C23×D3 | 1 | 12 | yes | — |
| 551 | M16 | — | 3 | 12 | no | — |
| 552 | M16 | — | 3 | 4 | no | — |
| 553 | M16 | — | 3 | 24 | no | — |
| 554 | M16 | — | 3 | 8 | no | — |
| 555 | M16 | C23×D3 | 1 | 12 | yes | — |
| 556 | C2×C8 | — | 3 | 12 | no | — |
| 557 | C2×C8 | — | 3 | 8 | no | — |
| 558 | C2×C8 | — | 3 | 24 | no | — |
| 559 | C2×C8 | C23×D3 | 1 | 6 | yes | — |
| 560 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 561 | C2×C8 | C23×D3 | 1 | 6 | yes | — |
| 562 | C2×C8 | C23×D3 | 1 | 3 | yes | — |
| 563 | C22×C3 | — | 2 | 8 | no | — |
| 564 | C22×C3 | — | 4 | 3 | no | — |
| 565 | C22×C3 | — | 8 | 12 | no | — |
| 566 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 567 | C22×C3 | C23×D4 | 1 | 6 | yes | — |
| 568 | C2×D3 | — | 2 | 4 | no | — |
| 569 | C2×D3 | — | 4 | 12 | no | — |
| 570 | C2×D3 | — | 8 | 16 | no | — |
| 571 | C2×D3 | — | 8 | 2 | no | — |
| 572 | C2×D3 | C23×D4 | 1 | 8 | yes | — |
| 573 | C3×C4 | — | 2 | 8 | no | — |
| 574 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 575 | C3×C4 | C23×D4 | 1 | 6 | yes | — |
| 576 | C3×C4 | C26 | 1 | 1 | yes | characteristic |
| 577 | Dic3 | — | 2 | 12 | no | — |
| 578 | Dic3 | C23×D4 | 1 | 8 | yes | — |
| 579 | C23 | — | 2 | 12 | no | — |
| 580 | C23 | — | 3 | 12 | no | — |
| 581 | C23 | — | 6 | 16 | no | — |
| 582 | C23 | — | 6 | 2 | no | — |
| 583 | C23 | C2×D3×D4 | 1 | 3 | yes | — |
| 584 | Q8 | — | 2 | 12 | no | — |
| 585 | Q8 | — | 3 | 4 | no | — |
| 586 | Q8 | — | 3 | 12 | no | — |
| 587 | Q8 | — | 3 | 12 | no | — |
| 588 | Q8 | — | 6 | 48 | no | — |
| 589 | Q8 | — | 6 | 6 | no | — |
| 590 | Q8 | — | 6 | 24 | no | — |
| 591 | Q8 | C2×D3×D4 | 1 | 4 | yes | — |
| 592 | Q8 | C24×D3 | 1 | 8 | yes | — |
| 593 | D4 | — | 2 | 24 | no | — |
| 594 | D4 | — | 2 | 8 | no | — |
| 595 | D4 | — | 2 | 12 | no | — |
| 596 | D4 | — | 3 | 24 | no | — |
| 597 | D4 | — | 3 | 8 | no | — |
| 598 | D4 | — | 3 | 4 | no | — |
| 599 | D4 | — | 3 | 12 | no | — |
| 600 | D4 | — | 3 | 4 | no | — |
| 601 | D4 | — | 6 | 16 | no | — |
| 602 | D4 | — | 6 | 16 | no | — |
| 603 | D4 | — | 6 | 48 | no | — |
| 604 | D4 | — | 6 | 24 | no | — |
| 605 | D4 | — | 6 | 2 | no | — |
| 606 | D4 | C2×D3×D4 | 1 | 12 | yes | — |
| 607 | D4 | C24×D3 | 1 | 8 | yes | — |
| 608 | C2×C4 | — | 2 | 12 | no | — |
| 609 | C2×C4 | — | 2 | 8 | no | — |
| 610 | C2×C4 | — | 2 | 24 | no | — |
| 611 | C2×C4 | — | 3 | 12 | no | — |
| 612 | C2×C4 | — | 3 | 24 | no | — |
| 613 | C2×C4 | — | 3 | 8 | no | — |
| 614 | C2×C4 | — | 6 | 16 | no | — |
| 615 | C2×C4 | — | 6 | 48 | no | — |
| 616 | C2×C4 | — | 6 | 48 | no | — |
| 617 | C2×C4 | — | 6 | 24 | no | — |
| 618 | C2×C4 | — | 6 | 6 | no | — |
| 619 | C2×C4 | — | 6 | 24 | no | — |
| 620 | C2×C4 | C2×D3×D4 | 1 | 6 | yes | — |
| 621 | C2×C4 | C2×D3×D4 | 1 | 3 | yes | — |
| 622 | C2×C4 | C24×D3 | 1 | 6 | yes | — |
| 623 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 624 | C8 | — | 3 | 8 | no | — |
| 625 | C8 | C24×D3 | 1 | 1 | yes | characteristic |
| 626 | C8 | C24×D3 | 1 | 6 | yes | — |
| 627 | C8 | C24×D3 | 1 | 1 | yes | characteristic |
| 628 | C2×C3 | — | 2 | 6 | no | — |
| 629 | C2×C3 | — | 2 | 1 | no | — |
| 630 | C2×C3 | — | 4 | 8 | no | — |
| 631 | C2×C3 | C24×D4 | 1 | 1 | yes | characteristic |
| 632 | D3 | — | 2 | 8 | no | — |
| 633 | D3 | — | 4 | 4 | no | — |
| 634 | C22 | — | 2 | 8 | no | — |
| 635 | C22 | — | 3 | 8 | no | — |
| 636 | C22 | — | 4 | 3 | no | — |
| 637 | C22 | — | 6 | 4 | no | — |
| 638 | C22 | — | 8 | 12 | no | — |
| 639 | C22 | — | 12 | 12 | no | — |
| 640 | C22 | — | 24 | 2 | no | — |
| 641 | C22 | — | 24 | 16 | no | — |
| 642 | C22 | C22×D3×D4 | 1 | 6 | yes | — |
| 643 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 644 | C4 | — | 2 | 8 | no | — |
| 645 | C4 | — | 3 | 8 | no | — |
| 646 | C4 | — | 6 | 12 | no | — |
| 647 | C4 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 648 | C4 | C22×D3×D4 | 1 | 6 | yes | — |
| 649 | C4 | C25×D3 | 1 | 1 | yes | characteristic |
| 650 | C3 | #63093 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 651 | C2 | — | 2 | 1 | no | — |
| 652 | C2 | — | 2 | 6 | no | — |
| 653 | C2 | — | 4 | 8 | no | — |
| 654 | C2 | — | 6 | 8 | no | — |
| 655 | C2 | — | 12 | 4 | no | — |
| 656 | C2 | C23×D3×D4 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | C23×D3×D4 |
| commutator, cosocle | C3×C4 | C26 |
| Frattini | C4 | C25×D3 |
| Fitting | C3×#3584 | C2 |
| socle | C2×C3 | C24×D4 |
| hypercenter | #3584 | D3 |
| hypocenter | C3 | #63093 |
| LCS | G ▷ C3×C4 ▷ C2×C3 ▷ C3 | |
| UCS | C1 ◁ C2 ◁ C2×#41 ◁ #3584 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #87572 | C2 | semidirect |
| 2. C3×#3584 | C2 | semidirect |
| 3. #87299 | C2 | semidirect |
| 4. D3×#578 | C2 | semidirect |
| 5. #87208 | C2 | semidirect |
| 6. #87203 | C2 | semidirect |
| 7. #87201 | C2 | semidirect |
| 8. #87187 | C2 | semidirect |
| 9. C2×#5771 | C2 | semidirect |
| 10. C2×#5753 | C2 | semidirect |
| 11. #87160 | C2 | semidirect |
| 13. C3×#585 | C22 | semidirect |
| 15. D3×2−1+4 | C22 | semidirect |
| 17. #5966 | C22 | semidirect |
| 20. #5964 | C22 | semidirect |
| 22. C2×#1010 | C22 | semidirect |
| 23. C2×#1010 | C22 | semidirect |
| 24. C3×#578 | C22 | semidirect |
| 25. C3×#577 | C22 | semidirect |
| 26. C3×#576 | C22 | semidirect |
| 27. C3×#575 | C22 | semidirect |
| 28. C2×C3×#135 | C22 | semidirect |
| 29. C2×C3×#131 | C22 | semidirect |
| 30. #5838 | C22 | semidirect |
| 31. #5836 | C22 | semidirect |
| 32. C2×#951 | C22 | semidirect |
| 33. #5822 | C22 | semidirect |
| 34. #5819 | C22 | semidirect |
| 35. #5779 | C22 | semidirect |
| 36. D3×#137 | C22 | semidirect |
| 37. #5775 | C22 | semidirect |
| 38. #5773 | C22 | semidirect |
| 39. #5771 | C22 | semidirect |
| 40. #5771 | C22 | semidirect |
| 41. #5771 | C22 | semidirect |
| 42. #5771 | C22 | semidirect |
| 43. #5770 | C22 | semidirect |
| 44. #5769 | C22 | semidirect |
| 45. #5768 | C22 | semidirect |
| 46. D3×#135 | C22 | semidirect |
| 47. #5766 | C22 | semidirect |
| 48. C2×D3×Q16 | C22 | semidirect |
| 49. #5762 | C22 | semidirect |
| 50. C2×#915 | C22 | semidirect |
| 51. #5757 | C22 | semidirect |
| 52. C2×#912 | C22 | semidirect |
| 53. #5753 | C22 | semidirect |
| 54. #5753 | C22 | semidirect |
| 55. #5750 | C22 | semidirect |
| 56. D3×#131 | C22 | semidirect |
| 57. C2×#909 | C22 | semidirect |
| 58. #5745 | C22 | semidirect |
| 59. C22×Dic12 | C22 | semidirect |
| 60. C2×#904 | C22 | semidirect |
| 61. C2×#901 | C22 | semidirect |
| 68. #3584 | D3 | semidirect |
| 176. #585 | C2×D3 | semidirect |
| 191. #578 | C2×D3 | semidirect |
| 196. #577 | C2×D3 | semidirect |
| 199. #576 | C2×D3 | semidirect |
| 203. #575 | C2×D3 | semidirect |
| 211. C2×#135 | C2×D3 | semidirect |
| 219. C2×#131 | C2×D3 | semidirect |
| 650. C3 | #63093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #87572 | 2 |
| C3×#3584 | 2 |
| #87299 | 2 |
| D3×#578 | 2 |
| #87208 | 2 |
| #87203 | 2 |
| #87201 | 2 |
| #87187 | 2 |
| C2×#5771 | 2 |
| C2×#5753 | 2 |
| #87160 | 2 |
| #63093 | 3 |