Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1842 conjugacy classes of subgroups.
The subgroup lattice has 706 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10617712 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C2×C5×#441 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10615618 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10615612 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C4×#4088 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10611569 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10611568 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #10611557 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10611556 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #10611555 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10611554 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10610851 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | #10610841 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10610531 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #10610516 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #10610225 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #10610217 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | C22×C5×Q16 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C4×C5×Q8 | C22 | 1 | 2 | yes | — |
| 20 | #66150 | C22 | 1 | 2 | yes | — |
| 21 | #66150 | C22 | 1 | 2 | yes | — |
| 22 | C2×#4088 | C22 | 1 | 2 | yes | — |
| 23 | C2×#4050 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#4047 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#4047 | C22 | 1 | 1 | yes | characteristic |
| 26 | #65917 | — | 2 | 2 | no | — |
| 27 | #65917 | C22 | 1 | 4 | yes | — |
| 28 | #65916 | — | 2 | 2 | no | — |
| 29 | #65916 | C22 | 1 | 4 | yes | — |
| 30 | #65914 | — | 2 | 2 | no | — |
| 31 | #65914 | C22 | 1 | 4 | yes | — |
| 32 | #65912 | — | 2 | 2 | no | — |
| 33 | #65912 | C22 | 1 | 4 | yes | — |
| 34 | #65849 | — | 2 | 4 | no | — |
| 35 | #65844 | C22 | 1 | 2 | yes | — |
| 36 | #65834 | C22 | 1 | 2 | yes | — |
| 37 | #65813 | — | 2 | 4 | no | — |
| 38 | C4×#709 | C22 | 1 | 1 | yes | characteristic |
| 39 | C4×#709 | C22 | 1 | 2 | yes | — |
| 40 | C5×#441 | C22 | 1 | 2 | yes | — |
| 41 | C5×#441 | C22 | 1 | 2 | yes | — |
| 42 | C5×#441 | C22 | 1 | 2 | yes | — |
| 43 | C5×#441 | C22 | 1 | 2 | yes | — |
| 44 | C2×C5×#106 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×C5×#103 | C22 | 1 | 2 | yes | — |
| 46 | C2×C5×#97 | C22 | 1 | 1 | yes | characteristic |
| 47 | #65514 | C22 | 1 | 2 | yes | — |
| 48 | #65480 | C22 | 1 | 2 | yes | — |
| 49 | #65479 | C22 | 1 | 4 | yes | — |
| 50 | #65478 | C22 | 1 | 2 | yes | — |
| 51 | #65478 | C22 | 1 | 2 | yes | — |
| 52 | #65477 | C22 | 1 | 4 | yes | — |
| 53 | #65470 | C22 | 1 | 2 | yes | — |
| 54 | #65402 | C22 | 1 | 2 | yes | — |
| 55 | #65395 | C22 | 1 | 1 | yes | characteristic |
| 56 | #65390 | C22 | 1 | 1 | yes | characteristic |
| 57 | #65390 | C22 | 1 | 1 | yes | characteristic |
| 58 | #65319 | C22 | 1 | 4 | yes | — |
| 59 | C4×#689 | C22 | 1 | 4 | yes | — |
| 60 | #65315 | C22 | 1 | 4 | yes | — |
| 61 | C4×#688 | C22 | 1 | 4 | yes | — |
| 62 | #65255 | C22 | 1 | 2 | yes | — |
| 63 | #65253 | C22 | 1 | 2 | yes | — |
| 64 | C4×#681 | C22 | 1 | 1 | yes | characteristic |
| 65 | #65157 | C22 | 1 | 2 | yes | — |
| 66 | #65154 | C22 | 1 | 2 | yes | — |
| 67 | #65153 | C22 | 1 | 4 | yes | — |
| 68 | #65147 | C22 | 1 | 2 | yes | — |
| 69 | #65145 | C22 | 1 | 4 | yes | — |
| 70 | #65144 | C22 | 1 | 2 | yes | — |
| 71 | #65105 | C22 | 1 | 4 | yes | — |
| 72 | #65102 | C22 | 1 | 4 | yes | — |
| 73 | #65101 | C22 | 1 | 4 | yes | — |
| 74 | #65096 | C22 | 1 | 4 | yes | — |
| 75 | #65089 | C22 | 1 | 4 | yes | — |
| 76 | #65086 | C22 | 1 | 4 | yes | — |
| 77 | #65084 | C22 | 1 | 4 | yes | — |
| 78 | #65081 | C22 | 1 | 4 | yes | — |
| 79 | #65005 | C22 | 1 | 1 | yes | characteristic |
| 80 | #65005 | C22 | 1 | 1 | yes | characteristic |
| 81 | #65000 | C22 | 1 | 1 | yes | characteristic |
| 82 | #65000 | C22 | 1 | 1 | yes | characteristic |
| 83 | #64999 | C22 | 1 | 2 | yes | — |
| 84 | #64999 | C22 | 1 | 2 | yes | — |
| 85 | #64997 | C22 | 1 | 2 | yes | — |
| 86 | #64997 | C22 | 1 | 2 | yes | — |
| 87 | #64996 | C22 | 1 | 2 | yes | — |
| 88 | D5×#97 | C22 | 1 | 2 | yes | — |
| 89 | #60699 | — | 5 | 1 | no | maximal, Sylow |
| 90 | C22×C5×Q8 | C23 | 1 | 2 | yes | — |
| 91 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×#709 | C23 | 1 | 2 | yes | — |
| 93 | C2×C5×Q16 | — | 2 | 4 | no | — |
| 94 | C2×C5×Q16 | C23 | 1 | 2 | yes | — |
| 95 | C2×C5×Q16 | C23 | 1 | 2 | yes | — |
| 96 | C22×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 97 | C22×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 98 | C4×C5×Q8 | — | 2 | 2 | no | — |
| 99 | C4×C5×Q8 | — | 2 | 2 | no | — |
| 100 | C4×C5×Q8 | C23 | 1 | 4 | yes | — |
| 101 | C4×C5×Q8 | C23 | 1 | 4 | yes | — |
| 102 | C2×C5×C4⋊C4 | — | 2 | 2 | no | — |
| 103 | C2×C5×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 104 | C2×C42×C5 | — | 2 | 2 | no | — |
| 105 | C2×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 106 | #4093 | — | 2 | 2 | no | — |
| 107 | #4093 | C23 | 1 | 4 | yes | — |
| 108 | #4092 | — | 2 | 2 | no | — |
| 109 | #4092 | — | 2 | 2 | no | — |
| 110 | #4092 | C23 | 1 | 4 | yes | — |
| 111 | #4092 | C23 | 1 | 4 | yes | — |
| 112 | #4090 | — | 2 | 2 | no | — |
| 113 | #4090 | C23 | 1 | 4 | yes | — |
| 114 | C2×#689 | C23 | 1 | 4 | yes | — |
| 115 | #4088 | — | 2 | 8 | no | — |
| 116 | C2×#688 | C23 | 1 | 4 | yes | — |
| 117 | #4076 | — | 2 | 4 | no | — |
| 118 | #4075 | — | 2 | 4 | no | — |
| 119 | #4075 | — | 2 | 4 | no | — |
| 120 | C4×C22⋊D5 | — | 2 | 2 | no | — |
| 121 | C4×C22⋊D5 | — | 2 | 2 | no | — |
| 122 | C4×C22⋊D5 | D4 | 1 | 4 | yes | — |
| 123 | #4072 | C23 | 1 | 2 | yes | — |
| 124 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 125 | #4070 | — | 2 | 4 | no | — |
| 126 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 127 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 128 | C2×Dic20 | C23 | 1 | 1 | yes | characteristic |
| 129 | #4050 | — | 2 | 4 | no | — |
| 130 | C2×D40 | C23 | 1 | 1 | yes | characteristic |
| 131 | C2×#677 | C23 | 1 | 2 | yes | — |
| 132 | #4047 | — | 2 | 4 | no | — |
| 133 | #4047 | — | 2 | 4 | no | — |
| 134 | C2×#676 | C23 | 1 | 2 | yes | — |
| 135 | C2×#676 | C23 | 1 | 2 | yes | — |
| 136 | C2×C8×D5 | C23 | 1 | 2 | yes | — |
| 137 | C2×C8×D5 | C23 | 1 | 2 | yes | — |
| 138 | #4044 | — | 2 | 4 | no | — |
| 139 | #4044 | — | 2 | 4 | no | — |
| 140 | #4043 | — | 2 | 2 | no | — |
| 141 | #4043 | C23 | 1 | 4 | yes | — |
| 142 | #4042 | — | 2 | 4 | no | — |
| 143 | #4042 | — | 2 | 4 | no | — |
| 144 | #4041 | — | 2 | 2 | no | — |
| 145 | #4041 | C23 | 1 | 4 | yes | — |
| 146 | #4040 | — | 2 | 4 | no | — |
| 147 | #4040 | — | 2 | 4 | no | — |
| 148 | #4036 | — | 2 | 2 | no | — |
| 149 | #4036 | C23 | 1 | 4 | yes | — |
| 150 | #4035 | — | 2 | 4 | no | — |
| 151 | #4035 | — | 2 | 4 | no | — |
| 152 | #4034 | — | 2 | 2 | no | — |
| 153 | #4034 | C23 | 1 | 4 | yes | — |
| 154 | #4022 | — | 2 | 4 | no | — |
| 155 | #4022 | — | 2 | 4 | no | — |
| 156 | #4021 | — | 2 | 4 | no | — |
| 157 | C4×D20 | — | 2 | 4 | no | — |
| 158 | C4×D20 | D4 | 1 | 2 | yes | — |
| 159 | C4×D20 | C23 | 1 | 2 | yes | — |
| 160 | C4×D20 | C23 | 1 | 2 | yes | — |
| 161 | #4018 | — | 2 | 4 | no | — |
| 162 | #4018 | — | 2 | 2 | no | — |
| 163 | #4018 | — | 2 | 4 | no | — |
| 164 | #4018 | C23 | 1 | 2 | yes | — |
| 165 | C42×D5 | — | 2 | 2 | no | — |
| 166 | C42×D5 | C23 | 1 | 2 | yes | — |
| 167 | #4016 | — | 2 | 4 | no | — |
| 168 | C4×Dic10 | — | 2 | 4 | no | — |
| 169 | C4×Dic10 | D4 | 1 | 2 | yes | — |
| 170 | C4×Dic10 | C23 | 1 | 2 | yes | — |
| 171 | C4×Dic10 | C23 | 1 | 2 | yes | — |
| 172 | C5×#106 | C23 | 1 | 2 | yes | — |
| 173 | C5×#106 | C23 | 1 | 2 | yes | — |
| 174 | C5×#103 | C23 | 1 | 4 | yes | — |
| 175 | C5×#103 | C23 | 1 | 4 | yes | — |
| 176 | C5×#97 | C23 | 1 | 1 | yes | characteristic |
| 177 | C5×#97 | C23 | 1 | 1 | yes | characteristic |
| 178 | C5×#97 | C23 | 1 | 1 | yes | characteristic |
| 179 | C5×#97 | C23 | 1 | 1 | yes | characteristic |
| 180 | #3967 | C23 | 1 | 4 | yes | — |
| 181 | #3967 | C23 | 1 | 4 | yes | — |
| 182 | #3953 | C23 | 1 | 2 | yes | — |
| 183 | #3953 | C23 | 1 | 2 | yes | — |
| 184 | #3950 | C23 | 1 | 2 | yes | — |
| 185 | #3949 | C23 | 1 | 1 | yes | characteristic |
| 186 | #3949 | C23 | 1 | 1 | yes | characteristic |
| 187 | #3948 | C23 | 1 | 2 | yes | — |
| 188 | #3948 | C23 | 1 | 2 | yes | — |
| 189 | #3947 | C23 | 1 | 2 | yes | — |
| 190 | #3947 | C23 | 1 | 2 | yes | — |
| 191 | C8×Dic5 | C23 | 1 | 2 | yes | — |
| 192 | C8×Dic5 | C23 | 1 | 2 | yes | — |
| 193 | #3942 | C23 | 1 | 4 | yes | — |
| 194 | #3941 | C23 | 1 | 4 | yes | — |
| 195 | #3940 | C23 | 1 | 4 | yes | — |
| 196 | #3939 | C23 | 1 | 4 | yes | — |
| 197 | #3935 | C23 | 1 | 2 | yes | — |
| 198 | C4×#168 | C23 | 1 | 2 | yes | — |
| 199 | #3461 | — | 5 | 2 | no | — |
| 200 | #3185 | — | 5 | 2 | no | — |
| 201 | #3183 | — | 5 | 2 | no | — |
| 202 | #3181 | — | 5 | 4 | no | — |
| 203 | #3178 | — | 5 | 4 | no | — |
| 204 | #3177 | — | 5 | 2 | no | — |
| 205 | #3173 | — | 5 | 2 | no | — |
| 206 | #3163 | — | 5 | 1 | no | — |
| 207 | #3156 | — | 5 | 1 | no | — |
| 208 | #3137 | — | 5 | 2 | no | — |
| 209 | #3063 | — | 5 | 2 | no | — |
| 210 | #3060 | — | 5 | 1 | no | — |
| 211 | #3059 | — | 5 | 1 | no | — |
| 212 | C4×#137 | — | 5 | 2 | no | — |
| 213 | #2943 | — | 5 | 1 | no | — |
| 214 | C2×#441 | D5 | 1 | 1 | yes | characteristic, complemented |
| 215 | #2875 | — | 5 | 1 | no | — |
| 216 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 217 | C2×C5×Q8 | — | 2 | 4 | no | — |
| 218 | C2×C5×Q8 | — | 2 | 4 | no | — |
| 219 | C2×C5×Q8 | C24 | 1 | 4 | yes | — |
| 220 | C22×C4×C5 | — | 2 | 2 | no | — |
| 221 | C22×C4×C5 | — | 2 | 2 | no | — |
| 222 | C22×C4×C5 | C2×D4 | 1 | 2 | yes | — |
| 223 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 224 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 225 | C2×C22⋊D5 | C2×D4 | 1 | 2 | yes | — |
| 226 | #709 | — | 2 | 2 | no | — |
| 227 | #709 | — | 2 | 2 | no | — |
| 228 | #709 | — | 2 | 4 | no | — |
| 229 | #709 | — | 2 | 4 | no | — |
| 230 | C2×D20 | — | 2 | 4 | no | — |
| 231 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 232 | C2×D20 | C24 | 1 | 2 | yes | — |
| 233 | C2×C4×D5 | — | 2 | 2 | no | — |
| 234 | C2×C4×D5 | — | 2 | 2 | no | — |
| 235 | C2×C4×D5 | — | 2 | 2 | no | — |
| 236 | C2×C4×D5 | C2×D4 | 1 | 4 | yes | — |
| 237 | C2×C4×D5 | C24 | 1 | 2 | yes | — |
| 238 | C2×Dic10 | — | 2 | 4 | no | — |
| 239 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 240 | C2×Dic10 | C24 | 1 | 2 | yes | — |
| 241 | C5×Q16 | — | 2 | 4 | no | — |
| 242 | C5×Q16 | — | 2 | 4 | no | — |
| 243 | C2×C5×C8 | — | 2 | 2 | no | — |
| 244 | C2×C5×C8 | #41 | 1 | 4 | yes | — |
| 245 | C2×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 246 | C2×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 247 | C2×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 248 | C2×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 249 | C5×C4⋊C4 | — | 2 | 4 | no | — |
| 250 | C5×C4⋊C4 | — | 2 | 4 | no | — |
| 251 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 252 | C5×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 253 | C42×C5 | — | 2 | 4 | no | — |
| 254 | C42×C5 | — | 2 | 4 | no | — |
| 255 | C42×C5 | C2×D4 | 1 | 2 | yes | — |
| 256 | C42×C5 | C24 | 1 | 1 | yes | characteristic |
| 257 | C42×C5 | C24 | 1 | 1 | yes | characteristic |
| 258 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 259 | C22⋊Dic5 | C2×D4 | 1 | 2 | yes | — |
| 260 | #689 | — | 2 | 8 | no | — |
| 261 | #688 | — | 2 | 8 | no | — |
| 262 | #685 | — | 2 | 4 | no | — |
| 263 | #685 | — | 2 | 4 | no | — |
| 264 | #685 | — | 2 | 4 | no | — |
| 265 | #685 | — | 2 | 2 | no | — |
| 266 | #685 | — | 2 | 2 | no | — |
| 267 | #685 | — | 2 | 4 | no | — |
| 268 | #685 | — | 2 | 4 | no | — |
| 269 | #685 | — | 2 | 4 | no | — |
| 270 | #685 | C2×D4 | 1 | 4 | yes | — |
| 271 | C4⋊Dic5 | — | 2 | 4 | no | — |
| 272 | C4⋊Dic5 | — | 2 | 4 | no | — |
| 273 | C4⋊Dic5 | C2×D4 | 1 | 2 | yes | — |
| 274 | C4⋊Dic5 | C24 | 1 | 2 | yes | — |
| 275 | C4⋊Dic5 | C24 | 1 | 2 | yes | — |
| 276 | #683 | — | 2 | 2 | no | — |
| 277 | #683 | — | 2 | 2 | no | — |
| 278 | #683 | — | 2 | 4 | no | — |
| 279 | #683 | — | 2 | 4 | no | — |
| 280 | #683 | — | 2 | 4 | no | — |
| 281 | #683 | — | 2 | 4 | no | — |
| 282 | #683 | — | 2 | 4 | no | — |
| 283 | #683 | — | 2 | 4 | no | — |
| 284 | #683 | C2×D4 | 1 | 4 | yes | — |
| 285 | C4×Dic5 | — | 2 | 2 | no | — |
| 286 | C4×Dic5 | — | 2 | 2 | no | — |
| 287 | C4×Dic5 | — | 2 | 2 | no | — |
| 288 | C4×Dic5 | C2×D4 | 1 | 4 | yes | — |
| 289 | C4×Dic5 | C24 | 1 | 2 | yes | — |
| 290 | #681 | — | 2 | 2 | no | — |
| 291 | #681 | #41 | 1 | 4 | yes | — |
| 292 | C2×#168 | C24 | 1 | 2 | yes | — |
| 293 | C2×#168 | C24 | 1 | 2 | yes | — |
| 294 | Dic20 | — | 2 | 2 | no | — |
| 295 | D40 | — | 2 | 2 | no | — |
| 296 | #677 | — | 2 | 4 | no | — |
| 297 | #676 | — | 2 | 4 | no | — |
| 298 | #676 | — | 2 | 4 | no | — |
| 299 | C8×D5 | — | 2 | 4 | no | — |
| 300 | C8×D5 | — | 2 | 4 | no | — |
| 301 | C2×#137 | — | 5 | 2 | no | — |
| 302 | C2×#135 | — | 5 | 1 | no | — |
| 303 | C22×Q16 | C2×D5 | 1 | 1 | yes | characteristic |
| 304 | C2×#131 | — | 5 | 1 | no | — |
| 305 | C2×#131 | — | 5 | 1 | no | — |
| 306 | #544 | — | 5 | 2 | no | — |
| 307 | #542 | — | 5 | 4 | no | — |
| 308 | #542 | — | 10 | 2 | no | — |
| 309 | #541 | — | 5 | 4 | no | — |
| 310 | #541 | — | 10 | 2 | no | — |
| 311 | #539 | — | 10 | 4 | no | — |
| 312 | #537 | — | 5 | 2 | no | — |
| 313 | #536 | — | 5 | 2 | no | — |
| 314 | #536 | — | 5 | 2 | no | — |
| 315 | #533 | — | 5 | 4 | no | — |
| 316 | #533 | — | 10 | 2 | no | — |
| 317 | #529 | — | 5 | 4 | no | — |
| 318 | #529 | — | 10 | 4 | no | — |
| 319 | #529 | — | 10 | 2 | no | — |
| 320 | C4×#41 | — | 5 | 1 | no | — |
| 321 | C4×#41 | — | 5 | 2 | no | — |
| 322 | C2×C4×Q8 | C2×D5 | 1 | 2 | yes | — |
| 323 | #501 | — | 5 | 4 | no | — |
| 324 | #499 | — | 5 | 2 | no | — |
| 325 | #498 | — | 5 | 2 | no | — |
| 326 | #497 | — | 5 | 4 | no | — |
| 327 | #495 | — | 5 | 2 | no | — |
| 328 | #494 | — | 5 | 2 | no | — |
| 329 | #491 | — | 5 | 4 | no | — |
| 330 | #489 | — | 5 | 4 | no | — |
| 331 | #488 | — | 5 | 4 | no | — |
| 332 | #487 | — | 5 | 4 | no | — |
| 333 | #470 | — | 5 | 2 | no | — |
| 334 | #470 | — | 5 | 2 | no | — |
| 335 | #470 | — | 5 | 2 | no | — |
| 336 | #470 | — | 5 | 4 | no | — |
| 337 | #469 | — | 5 | 2 | no | — |
| 338 | #468 | — | 5 | 4 | no | — |
| 339 | #467 | — | 5 | 4 | no | — |
| 340 | #467 | — | 5 | 4 | no | — |
| 341 | #465 | — | 5 | 4 | no | — |
| 342 | #465 | — | 5 | 4 | no | — |
| 343 | #442 | — | 5 | 1 | no | — |
| 344 | #442 | — | 5 | 1 | no | — |
| 345 | #441 | — | 5 | 4 | no | — |
| 346 | #441 | — | 5 | 1 | no | — |
| 347 | #441 | — | 5 | 1 | no | — |
| 348 | #441 | C2×D5 | 1 | 2 | yes | — |
| 349 | #441 | C2×D5 | 1 | 2 | yes | — |
| 350 | #441 | C2×D5 | 1 | 2 | yes | — |
| 351 | #441 | C2×D5 | 1 | 2 | yes | — |
| 352 | #440 | — | 5 | 4 | no | — |
| 353 | #440 | — | 5 | 2 | no | — |
| 354 | #440 | — | 5 | 2 | no | — |
| 355 | C4×Q16 | — | 5 | 4 | no | — |
| 356 | C4×SD16 | — | 5 | 4 | no | — |
| 357 | #428 | — | 5 | 2 | no | — |
| 358 | #427 | — | 5 | 1 | no | — |
| 359 | C2×#106 | C2×D5 | 1 | 1 | yes | characteristic |
| 360 | #419 | — | 5 | 2 | no | — |
| 361 | #417 | — | 5 | 2 | no | — |
| 362 | #416 | — | 5 | 2 | no | — |
| 363 | C2×#103 | C2×D5 | 1 | 2 | yes | — |
| 364 | #405 | — | 5 | 1 | no | — |
| 365 | #405 | — | 5 | 1 | no | — |
| 366 | #405 | — | 5 | 2 | no | — |
| 367 | #405 | — | 5 | 2 | no | — |
| 368 | C4×M16 | — | 5 | 1 | no | — |
| 369 | C4×M16 | — | 5 | 2 | no | — |
| 370 | C2×#97 | — | 5 | 2 | no | — |
| 371 | C2×#97 | C2×D5 | 1 | 1 | yes | characteristic |
| 372 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 373 | C22×D5 | — | 2 | 2 | no | — |
| 374 | C22×D5 | C22×D4 | 1 | 2 | yes | — |
| 375 | C5×Q8 | — | 2 | 4 | no | — |
| 376 | C5×Q8 | — | 2 | 4 | no | — |
| 377 | C5×Q8 | — | 4 | 4 | no | — |
| 378 | C2×C4×C5 | — | 2 | 4 | no | — |
| 379 | C2×C4×C5 | — | 2 | 4 | no | — |
| 380 | C2×C4×C5 | — | 4 | 2 | no | — |
| 381 | C2×C4×C5 | — | 4 | 4 | no | — |
| 382 | C2×C4×C5 | — | 8 | 2 | no | — |
| 383 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 384 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 385 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 386 | C2×C4×C5 | C2×#41 | 1 | 2 | yes | — |
| 387 | C2×C4×C5 | C2×#41 | 1 | 2 | yes | — |
| 388 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 389 | C22⋊D5 | — | 2 | 4 | no | — |
| 390 | C22⋊D5 | — | 4 | 4 | no | — |
| 391 | C2×Dic5 | — | 2 | 2 | no | — |
| 392 | C2×Dic5 | — | 2 | 2 | no | — |
| 393 | C2×Dic5 | — | 2 | 2 | no | — |
| 394 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 395 | C2×Dic5 | C22×D4 | 1 | 4 | yes | — |
| 396 | D20 | — | 2 | 2 | no | — |
| 397 | D20 | — | 2 | 2 | no | — |
| 398 | D20 | — | 2 | 2 | no | — |
| 399 | D20 | — | 8 | 4 | no | — |
| 400 | C4×D5 | — | 2 | 2 | no | — |
| 401 | C4×D5 | — | 2 | 2 | no | — |
| 402 | C4×D5 | — | 4 | 4 | no | — |
| 403 | C4×D5 | — | 4 | 4 | no | — |
| 404 | C4×D5 | — | 4 | 4 | no | — |
| 405 | C4×D5 | — | 8 | 2 | no | — |
| 406 | Dic10 | — | 2 | 2 | no | — |
| 407 | Dic10 | — | 2 | 2 | no | — |
| 408 | Dic10 | — | 2 | 2 | no | — |
| 409 | Dic10 | — | 8 | 4 | no | — |
| 410 | C5×C8 | — | 2 | 1 | no | — |
| 411 | C5×C8 | — | 2 | 1 | no | — |
| 412 | C5×C8 | C2×#41 | 1 | 2 | yes | — |
| 413 | C5×C8 | C2×#41 | 1 | 2 | yes | — |
| 414 | #168 | — | 2 | 2 | no | — |
| 415 | #168 | C2×#41 | 1 | 4 | yes | — |
| 416 | C2×#41 | — | 5 | 1 | no | — |
| 417 | C2×#41 | — | 5 | 2 | no | — |
| 418 | C22×Q8 | C22×D5 | 1 | 2 | yes | — |
| 419 | #137 | — | 10 | 8 | no | — |
| 420 | #135 | — | 10 | 4 | no | — |
| 421 | C2×Q16 | — | 2 | 4 | no | — |
| 422 | C2×Q16 | — | 5 | 4 | no | — |
| 423 | C2×Q16 | — | 5 | 1 | no | — |
| 424 | C2×Q16 | C22×D5 | 1 | 2 | yes | — |
| 425 | C2×Q16 | C22×D5 | 1 | 2 | yes | — |
| 426 | C2×SD16 | — | 5 | 4 | no | — |
| 427 | C2×SD16 | — | 5 | 2 | no | — |
| 428 | C2×D8 | — | 5 | 1 | no | — |
| 429 | #131 | — | 10 | 4 | no | — |
| 430 | #131 | — | 10 | 4 | no | — |
| 431 | C2×M16 | — | 5 | 1 | no | — |
| 432 | C2×M16 | — | 5 | 1 | no | — |
| 433 | C2×M16 | — | 5 | 2 | no | — |
| 434 | C2×M16 | — | 5 | 2 | no | — |
| 435 | C22×C8 | — | 5 | 2 | no | — |
| 436 | C22×C8 | — | 5 | 2 | no | — |
| 437 | C22×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 438 | C22×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 439 | C4⋊Q8 | — | 5 | 4 | no | — |
| 440 | C4⋊Q8 | — | 5 | 4 | no | — |
| 441 | C4⋊Q8 | — | 10 | 2 | no | — |
| 442 | C4⋊Q8 | — | 10 | 2 | no | — |
| 443 | #126 | — | 10 | 4 | no | — |
| 444 | #126 | — | 10 | 4 | no | — |
| 445 | #126 | — | 10 | 4 | no | — |
| 446 | #126 | — | 10 | 4 | no | — |
| 447 | #125 | — | 5 | 4 | no | — |
| 448 | #125 | — | 10 | 4 | no | — |
| 449 | #125 | — | 10 | 4 | no | — |
| 450 | #125 | — | 10 | 2 | no | — |
| 451 | #125 | — | 10 | 4 | no | — |
| 452 | #124 | — | 5 | 4 | no | — |
| 453 | #124 | — | 10 | 4 | no | — |
| 454 | #124 | — | 10 | 2 | no | — |
| 455 | #123 | — | 10 | 4 | no | — |
| 456 | #123 | — | 10 | 4 | no | — |
| 457 | #123 | — | 10 | 4 | no | — |
| 458 | #123 | — | 10 | 4 | no | — |
| 459 | C22⋊Q8 | — | 5 | 4 | no | — |
| 460 | C22⋊Q8 | — | 5 | 4 | no | — |
| 461 | C22⋊Q8 | — | 5 | 4 | no | — |
| 462 | C22⋊Q8 | — | 10 | 4 | no | — |
| 463 | C22⋊Q8 | — | 10 | 4 | no | — |
| 464 | C22⋊Q8 | — | 10 | 4 | no | — |
| 465 | C22⋊Q8 | — | 10 | 2 | no | — |
| 466 | C22⋊Q8 | — | 10 | 2 | no | — |
| 467 | C22⋊Q8 | — | 10 | 2 | no | — |
| 468 | #121 | — | 5 | 4 | no | — |
| 469 | #121 | — | 10 | 2 | no | — |
| 470 | #121 | — | 10 | 4 | no | — |
| 471 | C4×Q8 | — | 2 | 2 | no | — |
| 472 | C4×Q8 | — | 2 | 2 | no | — |
| 473 | C4×Q8 | — | 5 | 2 | no | — |
| 474 | C4×Q8 | — | 5 | 2 | no | — |
| 475 | C4×Q8 | — | 5 | 2 | no | — |
| 476 | C4×Q8 | — | 10 | 4 | no | — |
| 477 | C4×Q8 | C22×D5 | 1 | 4 | yes | — |
| 478 | C4×Q8 | C22×D5 | 1 | 4 | yes | — |
| 479 | C4×D4 | — | 5 | 4 | no | — |
| 480 | C4×D4 | — | 5 | 2 | no | — |
| 481 | C4×D4 | — | 5 | 2 | no | — |
| 482 | C4×D4 | — | 5 | 2 | no | — |
| 483 | C4×D4 | — | 10 | 4 | no | — |
| 484 | C4×D4 | — | 10 | 2 | no | — |
| 485 | C4×D4 | — | 10 | 2 | no | — |
| 486 | #117 | — | 5 | 1 | no | — |
| 487 | #117 | — | 5 | 2 | no | — |
| 488 | #117 | — | 5 | 2 | no | — |
| 489 | #117 | — | 10 | 4 | no | — |
| 490 | #117 | — | 10 | 4 | no | — |
| 491 | #117 | — | 10 | 2 | no | — |
| 492 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 493 | C2×C4⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 494 | C2×C42 | — | 2 | 2 | no | — |
| 495 | C2×C42 | — | 5 | 2 | no | — |
| 496 | C2×C42 | — | 10 | 2 | no | — |
| 497 | C2×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 498 | #107 | — | 5 | 2 | no | — |
| 499 | #107 | — | 5 | 4 | no | — |
| 500 | #106 | — | 5 | 1 | no | — |
| 501 | #106 | — | 5 | 1 | no | — |
| 502 | #106 | — | 5 | 4 | no | — |
| 503 | #106 | C22×D5 | 1 | 2 | yes | — |
| 504 | #106 | C22×D5 | 1 | 2 | yes | — |
| 505 | #103 | — | 5 | 4 | no | — |
| 506 | #103 | — | 5 | 4 | no | — |
| 507 | #103 | — | 5 | 2 | no | — |
| 508 | #103 | — | 5 | 2 | no | — |
| 509 | #103 | — | 5 | 4 | no | — |
| 510 | #103 | C22×D5 | 1 | 4 | yes | — |
| 511 | #103 | C22×D5 | 1 | 4 | yes | — |
| 512 | #102 | — | 5 | 2 | no | — |
| 513 | #102 | — | 5 | 2 | no | — |
| 514 | #102 | — | 5 | 4 | no | — |
| 515 | #97 | — | 5 | 2 | no | — |
| 516 | #97 | — | 5 | 2 | no | — |
| 517 | #97 | — | 5 | 2 | no | — |
| 518 | #97 | C22×D5 | 1 | 1 | yes | characteristic |
| 519 | #97 | C22×D5 | 1 | 1 | yes | characteristic |
| 520 | #97 | C22×D5 | 1 | 1 | yes | characteristic |
| 521 | #97 | C22×D5 | 1 | 1 | yes | characteristic |
| 522 | C4×C8 | — | 5 | 2 | no | — |
| 523 | C4×C8 | — | 5 | 2 | no | — |
| 524 | C4×C8 | — | 5 | 2 | no | — |
| 525 | C22×C5 | — | 2 | 2 | no | — |
| 526 | C22×C5 | #532 | 1 | 2 | yes | — |
| 527 | C22×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 528 | C2×D5 | — | 2 | 4 | no | — |
| 529 | C2×D5 | — | 2 | 2 | no | — |
| 530 | C2×D5 | — | 4 | 2 | no | — |
| 531 | C2×D5 | — | 4 | 2 | no | — |
| 532 | C2×D5 | — | 4 | 2 | no | — |
| 533 | C4×C5 | — | 2 | 2 | no | — |
| 534 | C4×C5 | — | 2 | 2 | no | — |
| 535 | C4×C5 | — | 4 | 4 | no | — |
| 536 | C4×C5 | — | 4 | 4 | no | — |
| 537 | C4×C5 | #532 | 1 | 2 | yes | — |
| 538 | C4×C5 | C22×#41 | 1 | 1 | yes | characteristic |
| 539 | C4×C5 | C22×#41 | 1 | 1 | yes | characteristic |
| 540 | Dic5 | — | 2 | 4 | no | — |
| 541 | Dic5 | — | 2 | 2 | no | — |
| 542 | Dic5 | — | 4 | 2 | no | — |
| 543 | Dic5 | — | 4 | 2 | no | — |
| 544 | Dic5 | — | 4 | 2 | no | — |
| 545 | #41 | — | 10 | 2 | no | — |
| 546 | #41 | — | 10 | 2 | no | — |
| 547 | #41 | — | 10 | 4 | no | — |
| 548 | #41 | — | 10 | 4 | no | — |
| 549 | C2×Q8 | — | 2 | 2 | no | — |
| 550 | C2×Q8 | — | 2 | 4 | no | — |
| 551 | C2×Q8 | — | 2 | 4 | no | — |
| 552 | C2×Q8 | — | 5 | 1 | no | — |
| 553 | C2×Q8 | — | 5 | 2 | no | — |
| 554 | C2×Q8 | — | 10 | 4 | no | — |
| 555 | C2×Q8 | C23×D5 | 1 | 4 | yes | — |
| 556 | C2×D4 | — | 5 | 2 | no | — |
| 557 | C2×D4 | — | 5 | 1 | no | — |
| 558 | C2×D4 | — | 5 | 2 | no | — |
| 559 | C2×D4 | — | 10 | 4 | no | — |
| 560 | C2×D4 | — | 10 | 2 | no | — |
| 561 | C22×C4 | — | 2 | 2 | no | — |
| 562 | C22×C4 | — | 2 | 2 | no | — |
| 563 | C22×C4 | — | 5 | 2 | no | — |
| 564 | C22×C4 | — | 5 | 4 | no | — |
| 565 | C22×C4 | — | 10 | 2 | no | — |
| 566 | C22×C4 | — | 10 | 2 | no | — |
| 567 | C22×C4 | — | 10 | 2 | no | — |
| 568 | C22×C4 | D4×D5 | 1 | 2 | yes | — |
| 569 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 570 | Q16 | — | 2 | 4 | no | — |
| 571 | Q16 | — | 2 | 4 | no | — |
| 572 | Q16 | — | 10 | 8 | no | — |
| 573 | Q16 | — | 10 | 2 | no | — |
| 574 | SD16 | — | 10 | 8 | no | — |
| 575 | SD16 | — | 10 | 4 | no | — |
| 576 | D8 | — | 10 | 2 | no | — |
| 577 | M16 | — | 5 | 4 | no | — |
| 578 | M16 | — | 10 | 4 | no | — |
| 579 | M16 | — | 10 | 2 | no | — |
| 580 | M16 | — | 10 | 4 | no | — |
| 581 | C2×C8 | — | 2 | 2 | no | — |
| 582 | C2×C8 | — | 5 | 2 | no | — |
| 583 | C2×C8 | — | 5 | 2 | no | — |
| 584 | C2×C8 | — | 10 | 4 | no | — |
| 585 | C2×C8 | — | 10 | 4 | no | — |
| 586 | C2×C8 | #709 | 1 | 4 | yes | — |
| 587 | C2×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 588 | C2×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 589 | C2×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 590 | C2×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 591 | C4⋊C4 | — | 2 | 4 | no | — |
| 592 | C4⋊C4 | — | 2 | 4 | no | — |
| 593 | C4⋊C4 | — | 2 | 2 | no | — |
| 594 | C4⋊C4 | — | 5 | 2 | no | — |
| 595 | C4⋊C4 | — | 5 | 4 | no | — |
| 596 | C4⋊C4 | — | 5 | 2 | no | — |
| 597 | C4⋊C4 | — | 5 | 2 | no | — |
| 598 | C4⋊C4 | — | 10 | 4 | no | — |
| 599 | C4⋊C4 | — | 10 | 4 | no | — |
| 600 | C4⋊C4 | — | 10 | 4 | no | — |
| 601 | C4⋊C4 | — | 10 | 4 | no | — |
| 602 | C4⋊C4 | — | 10 | 4 | no | — |
| 603 | C4⋊C4 | — | 10 | 4 | no | — |
| 604 | C4⋊C4 | — | 10 | 4 | no | — |
| 605 | C4⋊C4 | — | 10 | 4 | no | — |
| 606 | C4⋊C4 | — | 10 | 2 | no | — |
| 607 | C4⋊C4 | — | 10 | 2 | no | — |
| 608 | C4⋊C4 | C23×D5 | 1 | 4 | yes | — |
| 609 | C22⋊C4 | — | 5 | 2 | no | — |
| 610 | C22⋊C4 | — | 5 | 4 | no | — |
| 611 | C22⋊C4 | — | 10 | 4 | no | — |
| 612 | C22⋊C4 | — | 10 | 4 | no | — |
| 613 | C22⋊C4 | — | 10 | 4 | no | — |
| 614 | C22⋊C4 | — | 10 | 4 | no | — |
| 615 | C22⋊C4 | — | 10 | 4 | no | — |
| 616 | C22⋊C4 | — | 10 | 4 | no | — |
| 617 | C22⋊C4 | — | 10 | 2 | no | — |
| 618 | C22⋊C4 | — | 10 | 2 | no | — |
| 619 | C22⋊C4 | — | 10 | 2 | no | — |
| 620 | C42 | — | 2 | 4 | no | — |
| 621 | C42 | — | 2 | 4 | no | — |
| 622 | C42 | — | 5 | 4 | no | — |
| 623 | C42 | — | 5 | 2 | no | — |
| 624 | C42 | — | 10 | 2 | no | — |
| 625 | C42 | — | 10 | 2 | no | — |
| 626 | C42 | — | 10 | 2 | no | — |
| 627 | C42 | D4×D5 | 1 | 2 | yes | — |
| 628 | C42 | C23×D5 | 1 | 1 | yes | characteristic |
| 629 | C42 | C23×D5 | 1 | 1 | yes | characteristic |
| 630 | C2×C5 | — | 2 | 2 | no | — |
| 631 | C2×C5 | C2×#532 | 1 | 1 | yes | characteristic |
| 632 | C2×C5 | #3586 | 1 | 2 | yes | — |
| 633 | D5 | — | 4 | 2 | no | — |
| 634 | D5 | — | 8 | 2 | no | — |
| 635 | C23 | — | 5 | 2 | no | — |
| 636 | C23 | — | 10 | 2 | no | — |
| 637 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 638 | Q8 | — | 2 | 4 | no | — |
| 639 | Q8 | — | 2 | 4 | no | — |
| 640 | Q8 | — | 4 | 4 | no | — |
| 641 | Q8 | — | 10 | 2 | no | — |
| 642 | Q8 | — | 10 | 2 | no | — |
| 643 | Q8 | — | 10 | 2 | no | — |
| 644 | Q8 | — | 40 | 4 | no | — |
| 645 | D4 | — | 10 | 4 | no | — |
| 646 | D4 | — | 10 | 2 | no | — |
| 647 | D4 | — | 10 | 2 | no | — |
| 648 | D4 | — | 10 | 2 | no | — |
| 649 | D4 | — | 20 | 4 | no | — |
| 650 | D4 | — | 40 | 4 | no | — |
| 651 | C2×C4 | — | 2 | 4 | no | — |
| 652 | C2×C4 | — | 2 | 4 | no | — |
| 653 | C2×C4 | — | 4 | 2 | no | — |
| 654 | C2×C4 | — | 4 | 4 | no | — |
| 655 | C2×C4 | — | 5 | 4 | no | — |
| 656 | C2×C4 | — | 5 | 2 | no | — |
| 657 | C2×C4 | — | 8 | 2 | no | — |
| 658 | C2×C4 | — | 10 | 2 | no | — |
| 659 | C2×C4 | — | 10 | 2 | no | — |
| 660 | C2×C4 | — | 10 | 2 | no | — |
| 661 | C2×C4 | — | 10 | 2 | no | — |
| 662 | C2×C4 | — | 10 | 2 | no | — |
| 663 | C2×C4 | — | 20 | 4 | no | — |
| 664 | C2×C4 | — | 20 | 4 | no | — |
| 665 | C2×C4 | — | 20 | 4 | no | — |
| 666 | C2×C4 | — | 40 | 2 | no | — |
| 667 | C2×C4 | C2×#709 | 1 | 2 | yes | — |
| 668 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 669 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 670 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 671 | C2×C4 | D5×#41 | 1 | 2 | yes | — |
| 672 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 673 | C8 | — | 2 | 1 | no | — |
| 674 | C8 | — | 2 | 1 | no | — |
| 675 | C8 | — | 5 | 4 | no | — |
| 676 | C8 | — | 10 | 2 | no | — |
| 677 | C8 | C2×#709 | 1 | 2 | yes | — |
| 678 | C8 | C2×#709 | 1 | 2 | yes | — |
| 679 | C5 | #60699 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 680 | C22 | — | 2 | 2 | no | — |
| 681 | C22 | — | 10 | 2 | no | — |
| 682 | C22 | — | 10 | 4 | no | — |
| 683 | C22 | — | 20 | 2 | no | — |
| 684 | C22 | — | 20 | 2 | no | — |
| 685 | C22 | — | 20 | 2 | no | — |
| 686 | C22 | #65882 | 1 | 2 | yes | — |
| 687 | C22 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 688 | C4 | — | 2 | 2 | no | — |
| 689 | C4 | — | 2 | 2 | no | — |
| 690 | C4 | — | 4 | 4 | no | — |
| 691 | C4 | — | 4 | 4 | no | — |
| 692 | C4 | — | 10 | 2 | no | — |
| 693 | C4 | — | 10 | 4 | no | — |
| 694 | C4 | — | 20 | 2 | no | — |
| 695 | C4 | — | 20 | 2 | no | — |
| 696 | C4 | — | 20 | 2 | no | — |
| 697 | C4 | #65882 | 1 | 2 | yes | — |
| 698 | C4 | C22×#709 | 1 | 1 | yes | characteristic |
| 699 | C4 | C2×D5×#41 | 1 | 1 | yes | characteristic |
| 700 | C2 | — | 2 | 2 | no | — |
| 701 | C2 | — | 20 | 2 | no | — |
| 702 | C2 | — | 40 | 2 | no | — |
| 703 | C2 | C2×#65882 | 1 | 1 | yes | characteristic |
| 704 | C2 | #10619098 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10617712 | C2 | semidirect |
| 2. C2×C5×#441 | C2 | semidirect |
| 3. #10615618 | C2 | semidirect |
| 4. #10615612 | C2 | semidirect |
| 5. C4×#4088 | C2 | semidirect |
| 6. #10611569 | C2 | semidirect |
| 7. #10611568 | C2 | semidirect |
| 8. #10611557 | C2 | semidirect |
| 9. #10611556 | C2 | semidirect |
| 10. #10611555 | C2 | semidirect |
| 11. #10611554 | C2 | semidirect |
| 13. #10610841 | C2 | semidirect |
| 14. #10610531 | C2 | semidirect |
| 15. #10610516 | C2 | semidirect |
| 16. #10610225 | C2 | semidirect |
| 17. #10610217 | C2 | semidirect |
| 214. C2×#441 | D5 | semidirect |
| 679. C5 | #60699 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617712 | 2 |
| C2×C5×#441 | 2 |
| #10615618 | 2 |
| #10615612 | 2 |
| C4×#4088 | 2 |
| #10611569 | 2 |
| #10611568 | 2 |
| #10611557 | 2 |
| #10611556 | 2 |
| #10611555 | 2 |
| #10611554 | 2 |
| #10610851 | 2 |
| #10610841 | 2 |
| #10610531 | 2 |
| #10610516 | 2 |
| #10610225 | 2 |
| #10610217 | 2 |
| #60699 | 5 |