Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
466 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 90 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10617404 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10612637 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10604834 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10604773 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10598603 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C2×#4065 | C22 | 1 | 1 | yes | characteristic |
| 7 | C2×#4053 | C22 | 1 | 1 | yes | characteristic |
| 8 | #65963 | — | 2 | 1 | no | — |
| 9 | #65761 | — | 2 | 1 | no | — |
| 10 | C2×#3998 | — | 2 | 1 | no | — |
| 11 | #65725 | — | 2 | 4 | no | — |
| 12 | D5⋊#108 | C22 | 1 | 2 | yes | — |
| 13 | D5⋊M32 | — | 2 | 1 | no | — |
| 14 | D5⋊M32 | C22 | 1 | 2 | yes | — |
| 15 | C5×#470 | C4 | 1 | 1 | yes | characteristic |
| 16 | #65478 | C4 | 1 | 1 | yes | characteristic |
| 17 | #65424 | C4 | 1 | 1 | yes | characteristic |
| 18 | #65337 | — | 2 | 1 | no | — |
| 19 | #65154 | C4 | 1 | 1 | yes | characteristic |
| 20 | D5×#106 | C22 | 1 | 1 | yes | characteristic |
| 21 | #65096 | — | 2 | 1 | no | — |
| 22 | #65092 | — | 2 | 1 | no | — |
| 23 | #64909 | — | 2 | 4 | no | — |
| 24 | #64897 | — | 2 | 1 | no | — |
| 25 | #13076 | — | 5 | 1 | no | maximal, Sylow |
| 26 | C2×#713 | — | 2 | 1 | no | — |
| 27 | C2×#709 | D4 | 1 | 1 | yes | characteristic |
| 28 | D5⋊M16 | — | 2 | 2 | no | — |
| 29 | C2×C5×Q16 | C2×C4 | 1 | 1 | yes | characteristic |
| 30 | C2×C5×M16 | C2×C4 | 1 | 1 | yes | characteristic |
| 31 | C5×C22⋊Q8 | — | 2 | 1 | no | — |
| 32 | #4092 | — | 2 | 1 | no | — |
| 33 | C2×#688 | — | 2 | 1 | no | — |
| 34 | #4076 | — | 2 | 1 | no | — |
| 35 | C22×#168 | D4 | 1 | 1 | yes | characteristic |
| 36 | #4065 | — | 2 | 2 | no | — |
| 37 | #4065 | — | 2 | 2 | no | — |
| 38 | #4053 | — | 2 | 2 | no | — |
| 39 | #4053 | — | 2 | 2 | no | — |
| 40 | C2×D40 | C2×C4 | 1 | 1 | yes | characteristic |
| 41 | C2×#676 | C2×C4 | 1 | 1 | yes | characteristic |
| 42 | C2×#676 | D4 | 1 | 1 | yes | characteristic |
| 43 | C2×C8×D5 | D4 | 1 | 1 | yes | characteristic |
| 44 | C2×C8×D5 | C23 | 1 | 1 | yes | characteristic |
| 45 | #4042 | — | 4 | 1 | no | — |
| 46 | #4041 | — | 2 | 1 | no | — |
| 47 | #4041 | — | 4 | 1 | no | — |
| 48 | D5×C4⋊C4 | — | 2 | 1 | no | — |
| 49 | #4030 | — | 4 | 1 | no | — |
| 50 | #4030 | — | 4 | 1 | no | — |
| 51 | #4013 | — | 4 | 1 | no | — |
| 52 | #4005 | — | 4 | 1 | no | — |
| 53 | #3998 | — | 2 | 2 | no | — |
| 54 | #3998 | — | 2 | 2 | no | — |
| 55 | C2×#674 | — | 2 | 2 | no | — |
| 56 | #3996 | — | 2 | 2 | no | — |
| 57 | #3995 | — | 2 | 2 | no | — |
| 58 | #3990 | — | 2 | 2 | no | — |
| 59 | #3990 | — | 2 | 2 | no | — |
| 60 | D5⋊C16 | — | 2 | 2 | no | — |
| 61 | D5⋊C16 | D4 | 1 | 4 | yes | complemented |
| 62 | C5×#106 | C2×C4 | 1 | 1 | yes | characteristic |
| 63 | C5×#103 | — | 2 | 1 | no | — |
| 64 | #3967 | — | 2 | 1 | no | — |
| 65 | #3953 | — | 2 | 1 | no | — |
| 66 | #3949 | C2×C4 | 1 | 1 | yes | characteristic |
| 67 | #3941 | — | 2 | 1 | no | — |
| 68 | #3940 | — | 2 | 1 | no | — |
| 69 | #3407 | — | 5 | 1 | no | — |
| 70 | #3060 | — | 5 | 1 | no | — |
| 71 | #2143 | — | 5 | 2 | no | — |
| 72 | #1813 | — | 5 | 1 | no | — |
| 73 | #1383 | — | 5 | 2 | no | — |
| 74 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 75 | C22×C4×C5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 76 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 77 | C2×C22⋊D5 | D8 | 1 | 1 | yes | characteristic |
| 78 | C2×C22⋊D5 | SD16 | 1 | 1 | yes | characteristic |
| 79 | #713 | — | 4 | 2 | no | — |
| 80 | #713 | — | 4 | 2 | no | — |
| 81 | #709 | — | 2 | 2 | no | — |
| 82 | #709 | — | 2 | 2 | no | — |
| 83 | C2×D20 | — | 2 | 1 | no | — |
| 84 | C2×D20 | — | 4 | 1 | no | — |
| 85 | C2×D20 | — | 4 | 1 | no | — |
| 86 | C2×D20 | SD16 | 1 | 1 | yes | characteristic |
| 87 | C2×C4×D5 | — | 4 | 1 | no | — |
| 88 | C2×C4×D5 | — | 4 | 1 | no | — |
| 89 | C2×C4×D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 90 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 91 | C2×Dic10 | D8 | 1 | 1 | yes | characteristic |
| 92 | #704 | — | 4 | 2 | no | — |
| 93 | #700 | — | 4 | 2 | no | — |
| 94 | D5⋊C8 | — | 4 | 2 | no | — |
| 95 | C5×Q16 | — | 2 | 2 | no | — |
| 96 | C5×M16 | — | 2 | 2 | no | — |
| 97 | C2×C5×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 98 | C2×C5×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 99 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 100 | C5×C4⋊C4 | — | 4 | 1 | no | — |
| 101 | C5×C22⋊C4 | — | 4 | 1 | no | — |
| 102 | #688 | — | 4 | 1 | no | — |
| 103 | #688 | — | 4 | 1 | no | — |
| 104 | #685 | — | 4 | 1 | no | — |
| 105 | #685 | — | 4 | 1 | no | — |
| 106 | #685 | — | 4 | 1 | no | — |
| 107 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 108 | #683 | — | 4 | 1 | no | — |
| 109 | #683 | — | 4 | 1 | no | — |
| 110 | C2×#168 | — | 2 | 1 | no | — |
| 111 | C2×#168 | — | 2 | 1 | no | — |
| 112 | C2×#168 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 113 | C2×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 114 | D40 | — | 2 | 2 | no | — |
| 115 | #676 | — | 2 | 2 | no | — |
| 116 | #676 | — | 2 | 2 | no | — |
| 117 | C8×D5 | — | 2 | 1 | no | — |
| 118 | C8×D5 | — | 2 | 1 | no | — |
| 119 | C8×D5 | C2×D4 | 1 | 2 | yes | — |
| 120 | C8×D5 | #41 | 1 | 2 | yes | — |
| 121 | #674 | — | 2 | 4 | no | — |
| 122 | C2×#135 | — | 5 | 1 | no | — |
| 123 | C2×#131 | — | 5 | 1 | no | — |
| 124 | #537 | — | 10 | 1 | no | — |
| 125 | #504 | — | 10 | 4 | no | — |
| 126 | C2×M32 | — | 5 | 2 | no | — |
| 127 | C2×M32 | — | 10 | 1 | no | — |
| 128 | C2×M32 | — | 10 | 1 | no | — |
| 129 | #470 | — | 5 | 1 | no | — |
| 130 | #470 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 131 | #469 | — | 5 | 1 | no | — |
| 132 | #469 | — | 5 | 1 | no | — |
| 133 | #465 | — | 10 | 1 | no | — |
| 134 | #465 | — | 10 | 1 | no | — |
| 135 | C2×#108 | — | 5 | 2 | no | — |
| 136 | C2×#106 | — | 5 | 1 | no | — |
| 137 | #417 | — | 10 | 1 | no | — |
| 138 | #413 | — | 10 | 1 | no | — |
| 139 | #359 | — | 10 | 4 | no | — |
| 140 | #338 | — | 10 | 1 | no | — |
| 141 | C23×C5 | #102 | 1 | 1 | yes | characteristic |
| 142 | C22×D5 | — | 4 | 1 | no | — |
| 143 | C22×D5 | #102 | 1 | 1 | yes | characteristic |
| 144 | C22×D5 | C2×SD16 | 1 | 1 | yes | characteristic |
| 145 | C5×Q8 | — | 4 | 1 | no | — |
| 146 | C5×Q8 | — | 4 | 1 | no | — |
| 147 | C2×C4×C5 | — | 2 | 1 | no | — |
| 148 | C2×C4×C5 | — | 2 | 1 | no | — |
| 149 | C2×C4×C5 | — | 4 | 1 | no | — |
| 150 | C2×C4×C5 | — | 4 | 1 | no | — |
| 151 | C2×C4×C5 | #102 | 1 | 1 | yes | characteristic |
| 152 | C2×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 153 | C22⋊D5 | — | 2 | 2 | no | — |
| 154 | C22⋊D5 | — | 2 | 2 | no | — |
| 155 | C22⋊D5 | — | 16 | 1 | no | — |
| 156 | C2×Dic5 | — | 4 | 1 | no | — |
| 157 | C2×Dic5 | #102 | 1 | 1 | yes | characteristic |
| 158 | C2×Dic5 | C2×D8 | 1 | 1 | yes | characteristic |
| 159 | D20 | — | 2 | 2 | no | — |
| 160 | D20 | — | 4 | 1 | no | — |
| 161 | D20 | — | 4 | 1 | no | — |
| 162 | D20 | — | 8 | 2 | no | — |
| 163 | D20 | — | 16 | 1 | no | — |
| 164 | C4×D5 | — | 2 | 1 | no | — |
| 165 | C4×D5 | — | 2 | 1 | no | — |
| 166 | C4×D5 | — | 8 | 2 | no | — |
| 167 | C4×D5 | — | 16 | 1 | no | — |
| 168 | C4×D5 | #121 | 1 | 2 | yes | — |
| 169 | C4×D5 | #135 | 1 | 2 | yes | — |
| 170 | Dic10 | — | 2 | 2 | no | — |
| 171 | #170 | — | 8 | 2 | no | — |
| 172 | C5×C8 | — | 2 | 1 | no | — |
| 173 | C5×C8 | C4×D4 | 1 | 2 | yes | — |
| 174 | #168 | — | 2 | 1 | no | — |
| 175 | #168 | #120 | 1 | 1 | yes | characteristic |
| 176 | #168 | #123 | 1 | 1 | yes | characteristic |
| 177 | C2×#41 | — | 5 | 1 | no | — |
| 178 | C2×#41 | — | 10 | 1 | no | — |
| 179 | #135 | — | 10 | 2 | no | — |
| 180 | #135 | — | 10 | 2 | no | — |
| 181 | C2×Q16 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 182 | C2×SD16 | — | 10 | 1 | no | — |
| 183 | C2×D8 | — | 5 | 1 | no | — |
| 184 | #131 | — | 10 | 2 | no | — |
| 185 | #131 | — | 10 | 2 | no | — |
| 186 | C2×M16 | — | 5 | 1 | no | — |
| 187 | C2×M16 | — | 5 | 1 | no | — |
| 188 | C2×M16 | — | 10 | 2 | no | — |
| 189 | C2×M16 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 190 | C22×C8 | — | 5 | 1 | no | — |
| 191 | C22×C8 | — | 5 | 1 | no | — |
| 192 | C22×C8 | — | 5 | 1 | no | — |
| 193 | C22⋊Q8 | — | 2 | 1 | no | — |
| 194 | C22⋊Q8 | — | 10 | 1 | no | — |
| 195 | C22⋊Q8 | — | 20 | 1 | no | — |
| 196 | #121 | — | 10 | 1 | no | — |
| 197 | #121 | — | 10 | 1 | no | — |
| 198 | #121 | — | 20 | 1 | no | — |
| 199 | #121 | — | 20 | 1 | no | — |
| 200 | #121 | — | 20 | 1 | no | — |
| 201 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 202 | M32 | — | 10 | 2 | no | — |
| 203 | M32 | — | 10 | 2 | no | — |
| 204 | M32 | — | 10 | 2 | no | — |
| 205 | M32 | — | 10 | 2 | no | — |
| 206 | C2×C16 | — | 5 | 4 | no | — |
| 207 | C2×C16 | — | 10 | 2 | no | — |
| 208 | C2×C16 | — | 10 | 2 | no | — |
| 209 | #108 | — | 10 | 2 | no | — |
| 210 | #108 | — | 10 | 2 | no | — |
| 211 | #106 | — | 5 | 1 | no | — |
| 212 | #106 | — | 10 | 1 | no | — |
| 213 | #106 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 214 | #103 | — | 2 | 1 | no | — |
| 215 | #103 | — | 10 | 1 | no | — |
| 216 | #102 | — | 10 | 1 | no | — |
| 217 | #102 | — | 10 | 1 | no | — |
| 218 | #101 | — | 20 | 1 | no | — |
| 219 | #100 | — | 20 | 1 | no | — |
| 220 | C22×C5 | — | 2 | 1 | no | — |
| 221 | C22×C5 | — | 4 | 1 | no | — |
| 222 | C22×C5 | C2×#102 | 1 | 1 | yes | characteristic |
| 223 | C2×D5 | — | 2 | 1 | no | — |
| 224 | C2×D5 | — | 4 | 1 | no | — |
| 225 | C2×D5 | — | 4 | 1 | no | — |
| 226 | C2×D5 | — | 8 | 1 | no | — |
| 227 | C2×D5 | — | 8 | 1 | no | — |
| 228 | C2×D5 | — | 8 | 1 | no | — |
| 229 | C2×D5 | #465 | 1 | 2 | yes | — |
| 230 | C4×C5 | — | 2 | 1 | no | — |
| 231 | C4×C5 | — | 8 | 1 | no | — |
| 232 | C4×C5 | — | 8 | 1 | no | — |
| 233 | C4×C5 | #386 | 1 | 1 | yes | characteristic |
| 234 | C4×C5 | #416 | 1 | 1 | yes | characteristic |
| 235 | Dic5 | — | 2 | 1 | no | — |
| 236 | Dic5 | — | 8 | 1 | no | — |
| 237 | Dic5 | #466 | 1 | 2 | yes | — |
| 238 | #41 | — | 10 | 2 | no | — |
| 239 | #41 | — | 10 | 2 | no | — |
| 240 | #41 | — | 20 | 2 | no | — |
| 241 | #41 | — | 20 | 2 | no | — |
| 242 | C2×Q8 | — | 2 | 1 | no | — |
| 243 | C2×Q8 | — | 5 | 1 | no | — |
| 244 | C2×D4 | — | 5 | 1 | no | — |
| 245 | C2×D4 | — | 5 | 1 | no | — |
| 246 | C2×D4 | — | 5 | 1 | no | — |
| 247 | C2×D4 | — | 10 | 1 | no | — |
| 248 | C2×D4 | — | 20 | 1 | no | — |
| 249 | C2×D4 | — | 20 | 1 | no | — |
| 250 | C2×D4 | — | 20 | 1 | no | — |
| 251 | C22×C4 | — | 5 | 1 | no | — |
| 252 | C22×C4 | — | 5 | 1 | no | — |
| 253 | C22×C4 | — | 20 | 1 | no | — |
| 254 | C22×C4 | — | 20 | 1 | no | — |
| 255 | C22×C4 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 256 | Q16 | — | 2 | 2 | no | — |
| 257 | SD16 | — | 20 | 1 | no | — |
| 258 | SD16 | — | 20 | 1 | no | — |
| 259 | D8 | — | 10 | 2 | no | — |
| 260 | M16 | — | 2 | 2 | no | — |
| 261 | M16 | — | 10 | 2 | no | — |
| 262 | M16 | — | 10 | 2 | no | — |
| 263 | M16 | — | 20 | 2 | no | — |
| 264 | M16 | — | 20 | 2 | no | — |
| 265 | C2×C8 | — | 5 | 1 | no | — |
| 266 | C2×C8 | — | 5 | 2 | no | — |
| 267 | C2×C8 | — | 5 | 2 | no | — |
| 268 | C2×C8 | — | 5 | 1 | no | — |
| 269 | C2×C8 | — | 10 | 1 | no | — |
| 270 | C2×C8 | — | 10 | 1 | no | — |
| 271 | C2×C8 | — | 10 | 1 | no | — |
| 272 | C2×C8 | — | 10 | 1 | no | — |
| 273 | C2×C8 | — | 20 | 2 | no | — |
| 274 | C2×C8 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 275 | C2×C8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 276 | C4⋊C4 | — | 2 | 1 | no | — |
| 277 | C4⋊C4 | — | 4 | 1 | no | — |
| 278 | C4⋊C4 | — | 10 | 1 | no | — |
| 279 | C4⋊C4 | — | 20 | 1 | no | — |
| 280 | C4⋊C4 | — | 20 | 1 | no | — |
| 281 | C22⋊C4 | — | 4 | 1 | no | — |
| 282 | C22⋊C4 | — | 20 | 1 | no | — |
| 283 | C22⋊C4 | — | 20 | 1 | no | — |
| 284 | C22⋊C4 | — | 20 | 1 | no | — |
| 285 | C16 | — | 10 | 4 | no | — |
| 286 | C2×C5 | — | 2 | 1 | no | — |
| 287 | C2×C5 | — | 4 | 1 | no | — |
| 288 | C2×C5 | #1893 | 1 | 1 | yes | characteristic |
| 289 | D5 | — | 2 | 2 | no | — |
| 290 | D5 | — | 4 | 1 | no | — |
| 291 | D5 | — | 16 | 1 | no | — |
| 292 | C23 | — | 5 | 1 | no | — |
| 293 | C23 | — | 5 | 1 | no | — |
| 294 | C23 | — | 20 | 1 | no | — |
| 295 | C23 | #4007 | 1 | 1 | yes | characteristic |
| 296 | Q8 | — | 4 | 1 | no | — |
| 297 | Q8 | — | 4 | 1 | no | — |
| 298 | Q8 | — | 10 | 2 | no | — |
| 299 | D4 | — | 10 | 2 | no | — |
| 300 | D4 | — | 10 | 2 | no | — |
| 301 | D4 | — | 10 | 2 | no | — |
| 302 | D4 | — | 20 | 1 | no | — |
| 303 | D4 | — | 20 | 1 | no | — |
| 304 | D4 | — | 40 | 2 | no | — |
| 305 | D4 | — | 80 | 1 | no | — |
| 306 | D4 | — | 80 | 1 | no | — |
| 307 | C2×C4 | — | 2 | 1 | no | — |
| 308 | C2×C4 | — | 2 | 1 | no | — |
| 309 | C2×C4 | — | 4 | 1 | no | — |
| 310 | C2×C4 | — | 4 | 1 | no | — |
| 311 | C2×C4 | — | 5 | 1 | no | — |
| 312 | C2×C4 | — | 5 | 2 | no | — |
| 313 | C2×C4 | — | 5 | 2 | no | — |
| 314 | C2×C4 | — | 5 | 1 | no | — |
| 315 | C2×C4 | — | 10 | 1 | no | — |
| 316 | C2×C4 | — | 10 | 1 | no | — |
| 317 | C2×C4 | — | 20 | 1 | no | — |
| 318 | C2×C4 | — | 40 | 2 | no | — |
| 319 | C2×C4 | — | 80 | 1 | no | — |
| 320 | C2×C4 | #4007 | 1 | 1 | yes | characteristic |
| 321 | C2×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 322 | C8 | — | 2 | 1 | no | — |
| 323 | C8 | — | 5 | 1 | no | — |
| 324 | C8 | — | 5 | 1 | no | — |
| 325 | C8 | — | 10 | 1 | no | — |
| 326 | C8 | — | 40 | 2 | no | — |
| 327 | C8 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 328 | C5 | #13076 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 329 | C22 | — | 2 | 1 | no | — |
| 330 | C22 | — | 4 | 1 | no | — |
| 331 | C22 | — | 5 | 2 | no | — |
| 332 | C22 | — | 10 | 1 | no | — |
| 333 | C22 | — | 20 | 1 | no | — |
| 334 | C22 | — | 20 | 1 | no | — |
| 335 | C22 | — | 40 | 1 | no | — |
| 336 | C22 | — | 40 | 1 | no | — |
| 337 | C22 | — | 40 | 1 | no | — |
| 338 | C22 | C2×#4007 | 1 | 1 | yes | characteristic |
| 339 | C4 | — | 2 | 1 | no | — |
| 340 | C4 | — | 5 | 2 | no | — |
| 341 | C4 | — | 8 | 1 | no | — |
| 342 | C4 | — | 8 | 1 | no | — |
| 343 | C4 | — | 10 | 1 | no | — |
| 344 | C4 | — | 40 | 1 | no | — |
| 345 | C4 | #65779 | 1 | 1 | yes | characteristic |
| 346 | C4 | #65794 | 1 | 1 | yes | characteristic |
| 347 | C2 | — | 2 | 1 | no | — |
| 348 | C2 | — | 4 | 1 | no | — |
| 349 | C2 | — | 10 | 2 | no | — |
| 350 | C2 | — | 20 | 1 | no | — |
| 351 | C2 | — | 80 | 1 | no | — |
| 352 | C2 | #10604493 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10617404 | C2 | semidirect |
| 3. #10604834 | C2 | semidirect |
| 4. #10604773 | C2 | semidirect |
| 5. #10598603 | C2 | semidirect |
| 61. D5⋊C16 | D4 | semidirect |
| 328. C5 | #13076 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617404 | 2 |
| #10612637 | 2 |
| #10604834 | 2 |
| #10604773 | 2 |
| #10598603 | 2 |
| #13076 | 5 |