Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
934 conjugacy classes of subgroups.
The subgroup lattice has 724 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | D13⋊#361 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D13⋊#359 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13131144 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#11718276 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | D13⋊#350 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13130725 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | D13×#576 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | D13×H(5,𝔽2) | — | 2 | 1 | no | — |
| 9 | C13×#576 | C4 | 1 | 1 | yes | characteristic, complemented |
| 10 | #11719540 | — | 2 | 1 | no | — |
| 11 | #11719479 | — | 2 | 2 | no | — |
| 12 | #11719479 | — | 2 | 1 | no | — |
| 13 | D13×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 14 | D13×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 15 | #11719474 | — | 2 | 1 | no | — |
| 16 | #11719474 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | D13×#135 | — | 2 | 1 | no | — |
| 18 | D13×#135 | C22 | 1 | 1 | yes | characteristic |
| 19 | #11719462 | — | 2 | 1 | no | — |
| 20 | #11719462 | C4 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×D8×D13 | — | 2 | 1 | no | — |
| 22 | C2×D8×D13 | C22 | 1 | 1 | yes | characteristic |
| 23 | #11719457 | C4 | 1 | 1 | yes | characteristic, complemented |
| 24 | D13×#131 | C22 | 1 | 1 | yes | characteristic |
| 25 | #11719164 | — | 2 | 1 | no | — |
| 26 | D13⋊#108 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×#88102 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | D13⋊M32 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C2×D13⋊C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #11718304 | — | 2 | 1 | no | — |
| 31 | #11718281 | — | 2 | 1 | no | — |
| 32 | #11718280 | — | 2 | 1 | no | — |
| 33 | #11718278 | — | 2 | 2 | no | — |
| 34 | #11718277 | — | 2 | 1 | no | — |
| 35 | #11718276 | — | 2 | 2 | no | — |
| 36 | #11718276 | — | 2 | 1 | no | — |
| 37 | #11718271 | — | 2 | 1 | no | — |
| 38 | #11718270 | — | 2 | 1 | no | — |
| 39 | C13×H(5,𝔽2) | — | 2 | 1 | no | — |
| 40 | #88256 | — | 2 | 1 | no | — |
| 41 | #88256 | — | 2 | 2 | no | — |
| 42 | #88256 | — | 2 | 1 | no | — |
| 43 | #88256 | — | 4 | 1 | no | — |
| 44 | #41×D13 | — | 2 | 2 | no | — |
| 45 | #41×D13 | — | 2 | 1 | no | — |
| 46 | #41×D13 | — | 4 | 1 | no | — |
| 47 | #41×D13 | D4 | 1 | 1 | yes | characteristic |
| 48 | #88251 | — | 2 | 2 | no | — |
| 49 | #88251 | — | 2 | 1 | no | — |
| 50 | #88251 | — | 4 | 2 | no | — |
| 51 | #88251 | — | 4 | 1 | no | — |
| 52 | C2×D4×D13 | — | 2 | 2 | no | — |
| 53 | C2×D4×D13 | — | 2 | 1 | no | — |
| 54 | C2×D4×D13 | — | 4 | 2 | no | — |
| 55 | C2×D4×D13 | — | 4 | 1 | no | — |
| 56 | C2×C4⋊#261 | — | 2 | 1 | no | — |
| 57 | D13⋊M16 | — | 2 | 1 | no | — |
| 58 | C13×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 59 | C13×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 60 | C13×#135 | — | 2 | 1 | no | — |
| 61 | C13×#135 | C2×C4 | 1 | 1 | yes | characteristic |
| 62 | C2×C13×D8 | — | 2 | 1 | no | — |
| 63 | C2×C13×D8 | C2×C4 | 1 | 1 | yes | characteristic |
| 64 | C13×#131 | C2×C4 | 1 | 1 | yes | characteristic |
| 65 | #88204 | — | 2 | 2 | no | — |
| 66 | #88204 | — | 2 | 1 | no | — |
| 67 | #88203 | — | 2 | 2 | no | — |
| 68 | #88203 | — | 2 | 1 | no | — |
| 69 | #88202 | D4 | 1 | 1 | yes | characteristic |
| 70 | #88186 | — | 2 | 2 | no | — |
| 71 | #88186 | — | 2 | 1 | no | — |
| 72 | C2×#6104 | — | 2 | 2 | no | — |
| 73 | C2×#6104 | — | 2 | 1 | no | — |
| 74 | #88173 | — | 2 | 1 | no | — |
| 75 | #88173 | D4 | 1 | 1 | yes | characteristic |
| 76 | Q16×D13 | D4 | 1 | 1 | yes | characteristic |
| 77 | #88170 | — | 2 | 2 | no | — |
| 78 | #88170 | — | 2 | 1 | no | — |
| 79 | #88168 | — | 2 | 2 | no | — |
| 80 | #88168 | — | 2 | 2 | no | — |
| 81 | #88168 | — | 2 | 2 | no | — |
| 82 | SD16×D13 | — | 2 | 2 | no | — |
| 83 | SD16×D13 | — | 2 | 1 | no | — |
| 84 | #88166 | — | 2 | 1 | no | — |
| 85 | #88166 | D4 | 1 | 1 | yes | characteristic |
| 86 | #88165 | — | 2 | 2 | no | — |
| 87 | #88165 | — | 2 | 2 | no | — |
| 88 | #88165 | — | 2 | 2 | no | — |
| 89 | D8×D13 | — | 2 | 2 | no | — |
| 90 | D8×D13 | — | 2 | 2 | no | — |
| 91 | D8×D13 | — | 2 | 1 | no | — |
| 92 | D8×D13 | — | 2 | 1 | no | — |
| 93 | D8×D13 | — | 2 | 1 | no | — |
| 94 | D8×D13 | — | 2 | 1 | no | — |
| 95 | D8×D13 | D4 | 1 | 1 | yes | characteristic |
| 96 | D8×D13 | D4 | 1 | 2 | yes | — |
| 97 | D8×D13 | D4 | 1 | 2 | yes | — |
| 98 | #88162 | — | 2 | 1 | no | — |
| 99 | #88162 | — | 2 | 2 | no | — |
| 100 | #88161 | — | 2 | 1 | no | — |
| 101 | #88161 | D4 | 1 | 1 | yes | characteristic |
| 102 | M16×D13 | — | 2 | 1 | no | — |
| 103 | M16×D13 | D4 | 1 | 1 | yes | characteristic |
| 104 | #88158 | — | 2 | 1 | no | — |
| 105 | #88158 | C2×C4 | 1 | 1 | yes | characteristic |
| 106 | C2×D104 | — | 2 | 1 | no | — |
| 107 | C2×D104 | C2×C4 | 1 | 1 | yes | characteristic |
| 108 | #88155 | — | 2 | 1 | no | — |
| 109 | #88155 | C2×C4 | 1 | 1 | yes | characteristic |
| 110 | C2×C8×D13 | — | 2 | 1 | no | — |
| 111 | C2×C8×D13 | C23 | 1 | 1 | yes | characteristic |
| 112 | #88117 | — | 4 | 1 | no | — |
| 113 | #88115 | — | 4 | 1 | no | — |
| 114 | #88106 | — | 2 | 1 | no | — |
| 115 | C2×#6092 | — | 2 | 1 | no | — |
| 116 | #88104 | — | 2 | 1 | no | — |
| 117 | #88103 | — | 2 | 1 | no | — |
| 118 | #88102 | — | 2 | 1 | no | — |
| 119 | #88102 | — | 2 | 1 | no | — |
| 120 | #88098 | — | 2 | 1 | no | — |
| 121 | D13⋊C16 | — | 2 | 1 | no | — |
| 122 | D13⋊C16 | — | 2 | 1 | no | — |
| 123 | D13⋊C16 | — | 2 | 1 | no | — |
| 124 | #12748 | — | 13 | 1 | no | maximal, Sylow |
| 125 | C23×D13 | — | 4 | 2 | no | — |
| 126 | C23×D13 | — | 4 | 1 | no | — |
| 127 | C22×#261 | — | 4 | 1 | no | — |
| 128 | C13×#41 | — | 2 | 2 | no | — |
| 129 | C13×#41 | — | 2 | 1 | no | — |
| 130 | C13×#41 | — | 4 | 1 | no | — |
| 131 | C13×#41 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 132 | C2×D4×C13 | — | 2 | 2 | no | — |
| 133 | C2×D4×C13 | — | 2 | 1 | no | — |
| 134 | C2×D4×C13 | — | 4 | 2 | no | — |
| 135 | C2×D4×C13 | — | 4 | 1 | no | — |
| 136 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 137 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 138 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 139 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 140 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 141 | #6131 | — | 2 | 2 | no | — |
| 142 | #6131 | — | 2 | 1 | no | — |
| 143 | #6131 | — | 4 | 1 | no | — |
| 144 | #6131 | SD16 | 1 | 1 | yes | characteristic |
| 145 | Q8×D13 | — | 2 | 1 | no | — |
| 146 | Q8×D13 | D8 | 1 | 1 | yes | characteristic |
| 147 | #6129 | — | 2 | 1 | no | — |
| 148 | #6129 | — | 2 | 2 | no | — |
| 149 | #6129 | — | 2 | 1 | no | — |
| 150 | #6129 | — | 4 | 2 | no | — |
| 151 | #6129 | — | 4 | 2 | no | — |
| 152 | #6129 | — | 4 | 1 | no | — |
| 153 | #6129 | — | 4 | 1 | no | — |
| 154 | #6129 | SD16 | 1 | 1 | yes | characteristic |
| 155 | D4×D13 | — | 2 | 1 | no | — |
| 156 | D4×D13 | — | 2 | 2 | no | — |
| 157 | D4×D13 | — | 2 | 2 | no | — |
| 158 | D4×D13 | — | 2 | 1 | no | — |
| 159 | D4×D13 | — | 2 | 2 | no | — |
| 160 | D4×D13 | — | 2 | 2 | no | — |
| 161 | D4×D13 | — | 4 | 2 | no | — |
| 162 | D4×D13 | — | 4 | 2 | no | — |
| 163 | D4×D13 | — | 4 | 2 | no | — |
| 164 | D4×D13 | — | 4 | 2 | no | — |
| 165 | D4×D13 | — | 4 | 2 | no | — |
| 166 | D4×D13 | — | 4 | 2 | no | — |
| 167 | D4×D13 | — | 4 | 2 | no | — |
| 168 | D4×D13 | — | 4 | 2 | no | — |
| 169 | D4×D13 | — | 4 | 1 | no | — |
| 170 | D4×D13 | — | 4 | 1 | no | — |
| 171 | D4×D13 | — | 4 | 1 | no | — |
| 172 | D4×D13 | — | 4 | 1 | no | — |
| 173 | D4×D13 | — | 4 | 1 | no | — |
| 174 | D4×D13 | D8 | 1 | 1 | yes | characteristic |
| 175 | #6127 | — | 2 | 1 | no | — |
| 176 | #6127 | — | 2 | 2 | no | — |
| 177 | #6127 | — | 2 | 1 | no | — |
| 178 | #6127 | — | 4 | 2 | no | — |
| 179 | #6127 | — | 4 | 2 | no | — |
| 180 | #6127 | — | 4 | 1 | no | — |
| 181 | #6127 | — | 4 | 1 | no | — |
| 182 | #6127 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 183 | C2×D52 | — | 2 | 2 | no | — |
| 184 | C2×D52 | — | 2 | 1 | no | — |
| 185 | C2×D52 | — | 4 | 2 | no | — |
| 186 | C2×D52 | — | 4 | 1 | no | — |
| 187 | C2×C4×D13 | — | 2 | 1 | no | — |
| 188 | C2×C4×D13 | — | 4 | 2 | no | — |
| 189 | C2×C4×D13 | — | 4 | 1 | no | — |
| 190 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | #6122 | — | 4 | 1 | no | — |
| 192 | C4⋊#261 | — | 4 | 1 | no | — |
| 193 | C4⋊#261 | — | 4 | 1 | no | — |
| 194 | #6118 | — | 4 | 1 | no | — |
| 195 | D13⋊C8 | — | 4 | 1 | no | — |
| 196 | C13×Q16 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 197 | C13×SD16 | — | 2 | 2 | no | — |
| 198 | C13×SD16 | — | 2 | 1 | no | — |
| 199 | C13×D8 | — | 2 | 2 | no | — |
| 200 | C13×D8 | — | 2 | 1 | no | — |
| 201 | C13×D8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 202 | C13×D8 | C22⋊C4 | 1 | 2 | yes | — |
| 203 | C13×M16 | — | 2 | 1 | no | — |
| 204 | C13×M16 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 205 | C2×C8×C13 | — | 2 | 1 | no | — |
| 206 | C2×C8×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 207 | #6107 | — | 2 | 1 | no | — |
| 208 | #6106 | — | 2 | 2 | no | — |
| 209 | #6106 | — | 2 | 1 | no | — |
| 210 | #6105 | — | 2 | 2 | no | — |
| 211 | #6105 | — | 2 | 1 | no | — |
| 212 | #6104 | — | 2 | 2 | no | — |
| 213 | #6104 | — | 2 | 2 | no | — |
| 214 | #6104 | — | 2 | 1 | no | — |
| 215 | #6104 | — | 2 | 2 | no | — |
| 216 | #6104 | — | 2 | 2 | no | — |
| 217 | #6099 | — | 2 | 1 | no | — |
| 218 | #6099 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 219 | C2×#1055 | — | 2 | 1 | no | — |
| 220 | C2×#1055 | C2×D4 | 1 | 1 | yes | characteristic |
| 221 | Dic52 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 222 | D104 | — | 2 | 2 | no | — |
| 223 | D104 | — | 2 | 1 | no | — |
| 224 | D104 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 225 | D104 | C22⋊C4 | 1 | 2 | yes | — |
| 226 | #6095 | — | 2 | 2 | no | — |
| 227 | #6095 | — | 2 | 1 | no | — |
| 228 | #6094 | — | 2 | 1 | no | — |
| 229 | #6094 | — | 2 | 1 | no | — |
| 230 | #6094 | — | 2 | 1 | no | — |
| 231 | C8×D13 | — | 2 | 1 | no | — |
| 232 | C8×D13 | — | 2 | 1 | no | — |
| 233 | C8×D13 | — | 2 | 1 | no | — |
| 234 | C8×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 235 | C8×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 236 | C8×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 237 | C8×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 238 | #6092 | — | 4 | 1 | no | — |
| 239 | #6092 | — | 4 | 1 | no | — |
| 240 | C2×#576 | — | 13 | 1 | no | — |
| 241 | C2×#361 | — | 13 | 1 | no | — |
| 242 | C2×#359 | — | 13 | 1 | no | — |
| 243 | #2139 | — | 13 | 1 | no | — |
| 244 | C2×#357 | — | 13 | 1 | no | — |
| 245 | C2×#350 | — | 13 | 1 | no | — |
| 246 | #1816 | — | 13 | 1 | no | — |
| 247 | C23×C13 | — | 4 | 2 | no | — |
| 248 | C23×C13 | — | 4 | 1 | no | — |
| 249 | C22×D13 | — | 2 | 1 | no | — |
| 250 | C22×D13 | — | 4 | 2 | no | — |
| 251 | C22×D13 | — | 4 | 2 | no | — |
| 252 | C22×D13 | — | 4 | 2 | no | — |
| 253 | C22×D13 | — | 4 | 1 | no | — |
| 254 | C22×D13 | — | 4 | 2 | no | — |
| 255 | C22×D13 | — | 4 | 1 | no | — |
| 256 | C22×D13 | — | 4 | 2 | no | — |
| 257 | C22×D13 | — | 16 | 1 | no | — |
| 258 | C22×D13 | — | 16 | 1 | no | — |
| 259 | C22×D13 | — | 16 | 2 | no | — |
| 260 | C22×D13 | — | 16 | 2 | no | — |
| 261 | C22×D13 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 262 | C2×#261 | — | 8 | 1 | no | — |
| 263 | C2×#261 | — | 16 | 1 | no | — |
| 264 | Q8×C13 | — | 2 | 1 | no | — |
| 265 | Q8×C13 | #102 | 1 | 1 | yes | characteristic |
| 266 | D4×C13 | — | 2 | 1 | no | — |
| 267 | D4×C13 | — | 2 | 1 | no | — |
| 268 | D4×C13 | — | 2 | 2 | no | — |
| 269 | D4×C13 | — | 4 | 2 | no | — |
| 270 | D4×C13 | — | 4 | 2 | no | — |
| 271 | D4×C13 | — | 4 | 1 | no | — |
| 272 | D4×C13 | — | 4 | 1 | no | — |
| 273 | D4×C13 | #102 | 1 | 1 | yes | characteristic |
| 274 | C2×C4×C13 | — | 2 | 1 | no | — |
| 275 | C2×C4×C13 | — | 4 | 2 | no | — |
| 276 | C2×C4×C13 | — | 4 | 1 | no | — |
| 277 | C2×C4×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 278 | C22⋊D13 | — | 2 | 1 | no | — |
| 279 | C22⋊D13 | — | 2 | 1 | no | — |
| 280 | C22⋊D13 | — | 2 | 1 | no | — |
| 281 | C22⋊D13 | — | 4 | 2 | no | — |
| 282 | C22⋊D13 | — | 4 | 2 | no | — |
| 283 | C22⋊D13 | — | 4 | 2 | no | — |
| 284 | C22⋊D13 | — | 4 | 2 | no | — |
| 285 | C22⋊D13 | — | 4 | 1 | no | — |
| 286 | C22⋊D13 | — | 4 | 1 | no | — |
| 287 | C22⋊D13 | — | 4 | 2 | no | — |
| 288 | C22⋊D13 | — | 4 | 2 | no | — |
| 289 | C22⋊D13 | — | 4 | 1 | no | — |
| 290 | C2×Dic13 | — | 2 | 1 | no | — |
| 291 | C2×Dic13 | — | 4 | 2 | no | — |
| 292 | C2×Dic13 | — | 4 | 1 | no | — |
| 293 | C2×Dic13 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 294 | D52 | — | 2 | 1 | no | — |
| 295 | D52 | — | 2 | 2 | no | — |
| 296 | D52 | — | 2 | 1 | no | — |
| 297 | D52 | — | 4 | 2 | no | — |
| 298 | D52 | — | 4 | 2 | no | — |
| 299 | D52 | — | 4 | 1 | no | — |
| 300 | D52 | — | 4 | 1 | no | — |
| 301 | D52 | #102 | 1 | 1 | yes | characteristic |
| 302 | C4×D13 | — | 2 | 1 | no | — |
| 303 | C4×D13 | — | 2 | 1 | no | — |
| 304 | C4×D13 | — | 2 | 1 | no | — |
| 305 | C4×D13 | — | 4 | 2 | no | — |
| 306 | C4×D13 | — | 4 | 2 | no | — |
| 307 | C4×D13 | — | 4 | 1 | no | — |
| 308 | C4×D13 | — | 4 | 1 | no | — |
| 309 | C4×D13 | — | 4 | 1 | no | — |
| 310 | C4×D13 | #120 | 1 | 1 | yes | characteristic |
| 311 | C4×D13 | #120 | 1 | 1 | yes | characteristic |
| 312 | C4×D13 | C2×D8 | 1 | 1 | yes | characteristic |
| 313 | C4×D13 | C2×SD16 | 1 | 1 | yes | characteristic |
| 314 | Dic26 | — | 2 | 1 | no | — |
| 315 | Dic26 | — | 2 | 1 | no | — |
| 316 | Dic26 | — | 4 | 1 | no | — |
| 317 | Dic26 | #102 | 1 | 1 | yes | characteristic |
| 318 | #1057 | — | 8 | 1 | no | — |
| 319 | C8×C13 | — | 2 | 1 | no | — |
| 320 | C8×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 321 | C8×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 322 | #1055 | — | 2 | 1 | no | — |
| 323 | #1055 | #120 | 1 | 1 | yes | characteristic |
| 324 | #1055 | #120 | 1 | 1 | yes | characteristic |
| 325 | C2×H(5,𝔽2) | — | 26 | 1 | no | — |
| 326 | #576 | — | 13 | 1 | no | — |
| 327 | #576 | — | 13 | 1 | no | — |
| 328 | #576 | — | 13 | 1 | no | — |
| 329 | #576 | — | 26 | 1 | no | — |
| 330 | #576 | — | 26 | 1 | no | — |
| 331 | #576 | — | 26 | 1 | no | — |
| 332 | #576 | — | 26 | 2 | no | — |
| 333 | #576 | — | 26 | 1 | no | — |
| 334 | #576 | #261 | 1 | 1 | yes | characteristic, complemented |
| 335 | C2×AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 336 | C2×AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 337 | C2×#135 | — | 13 | 1 | no | — |
| 338 | C2×#135 | — | 26 | 1 | no | — |
| 339 | C22×D8 | — | 13 | 1 | no | — |
| 340 | C22×D8 | — | 26 | 1 | no | — |
| 341 | C2×#131 | — | 13 | 1 | no | — |
| 342 | C2×M32 | — | 13 | 1 | no | — |
| 343 | C22×C16 | — | 13 | 1 | no | — |
| 344 | C2×#108 | — | 13 | 1 | no | — |
| 345 | C2×#107 | — | 13 | 1 | no | — |
| 346 | #417 | — | 26 | 1 | no | — |
| 347 | #361 | — | 26 | 2 | no | — |
| 348 | #359 | — | 26 | 1 | no | — |
| 349 | #359 | — | 26 | 1 | no | — |
| 350 | #358 | — | 26 | 1 | no | — |
| 351 | #357 | — | 26 | 2 | no | — |
| 352 | #357 | — | 26 | 1 | no | — |
| 353 | #350 | — | 26 | 1 | no | — |
| 354 | #350 | — | 26 | 1 | no | — |
| 355 | #343 | — | 26 | 1 | no | — |
| 356 | C22×C13 | — | 2 | 1 | no | — |
| 357 | C22×C13 | — | 4 | 2 | no | — |
| 358 | C22×C13 | — | 4 | 1 | no | — |
| 359 | C22×C13 | — | 16 | 1 | no | — |
| 360 | C22×C13 | — | 16 | 2 | no | — |
| 361 | C22×C13 | #418 | 1 | 1 | yes | characteristic |
| 362 | C2×D13 | — | 2 | 1 | no | — |
| 363 | C2×D13 | — | 2 | 1 | no | — |
| 364 | C2×D13 | — | 2 | 1 | no | — |
| 365 | C2×D13 | — | 4 | 1 | no | — |
| 366 | C2×D13 | — | 4 | 1 | no | — |
| 367 | C2×D13 | — | 4 | 2 | no | — |
| 368 | C2×D13 | — | 4 | 1 | no | — |
| 369 | C2×D13 | — | 8 | 2 | no | — |
| 370 | C2×D13 | — | 8 | 1 | no | — |
| 371 | C2×D13 | — | 8 | 2 | no | — |
| 372 | C2×D13 | — | 8 | 1 | no | — |
| 373 | C2×D13 | — | 16 | 2 | no | — |
| 374 | C2×D13 | — | 16 | 2 | no | — |
| 375 | C2×D13 | — | 16 | 2 | no | — |
| 376 | C2×D13 | — | 16 | 1 | no | — |
| 377 | C2×D13 | — | 16 | 2 | no | — |
| 378 | C2×D13 | #447 | 1 | 1 | yes | characteristic |
| 379 | C2×D13 | #450 | 1 | 1 | yes | characteristic |
| 380 | #261 | — | 16 | 1 | no | — |
| 381 | C4×C13 | — | 2 | 1 | no | — |
| 382 | C4×C13 | — | 4 | 1 | no | — |
| 383 | C4×C13 | #379 | 1 | 1 | yes | characteristic |
| 384 | C4×C13 | C2×#102 | 1 | 1 | yes | characteristic |
| 385 | Dic13 | — | 2 | 1 | no | — |
| 386 | Dic13 | — | 4 | 1 | no | — |
| 387 | Dic13 | #447 | 1 | 1 | yes | characteristic |
| 388 | Dic13 | #450 | 1 | 1 | yes | characteristic |
| 389 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 390 | H(5,𝔽2) | — | 26 | 1 | no | — |
| 391 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 392 | H(5,𝔽2) | — | 26 | 1 | no | — |
| 393 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 394 | H(5,𝔽2) | — | 26 | 1 | no | — |
| 395 | H(5,𝔽2) | — | 52 | 1 | no | — |
| 396 | H(5,𝔽2) | — | 52 | 2 | no | — |
| 397 | H(5,𝔽2) | — | 52 | 1 | no | — |
| 398 | C2×#41 | — | 13 | 1 | no | — |
| 399 | C2×#41 | — | 26 | 1 | no | — |
| 400 | C2×#41 | — | 26 | 2 | no | — |
| 401 | C2×#41 | — | 52 | 1 | no | — |
| 402 | C22×D4 | — | 26 | 1 | no | — |
| 403 | C22×D4 | — | 26 | 2 | no | — |
| 404 | C22×D4 | — | 52 | 1 | no | — |
| 405 | C22×D4 | — | 52 | 2 | no | — |
| 406 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 407 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 408 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 409 | AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 410 | AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 411 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 412 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 413 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 414 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 415 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 416 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 417 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 418 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 419 | AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 420 | #135 | — | 2 | 1 | no | — |
| 421 | #135 | — | 13 | 1 | no | — |
| 422 | #135 | — | 13 | 1 | no | — |
| 423 | #135 | — | 13 | 1 | no | — |
| 424 | #135 | — | 26 | 1 | no | — |
| 425 | #135 | — | 26 | 1 | no | — |
| 426 | #135 | — | 26 | 1 | no | — |
| 427 | #135 | — | 26 | 1 | no | — |
| 428 | #135 | — | 26 | 2 | no | — |
| 429 | #135 | — | 26 | 2 | no | — |
| 430 | #135 | — | 26 | 1 | no | — |
| 431 | #135 | C2×#261 | 1 | 1 | yes | characteristic |
| 432 | C2×Q16 | — | 13 | 1 | no | — |
| 433 | C2×SD16 | — | 26 | 1 | no | — |
| 434 | C2×SD16 | — | 26 | 2 | no | — |
| 435 | C2×D8 | — | 2 | 1 | no | — |
| 436 | C2×D8 | — | 13 | 2 | no | — |
| 437 | C2×D8 | — | 13 | 2 | no | — |
| 438 | C2×D8 | — | 13 | 1 | no | — |
| 439 | C2×D8 | — | 13 | 1 | no | — |
| 440 | C2×D8 | — | 26 | 1 | no | — |
| 441 | C2×D8 | — | 26 | 1 | no | — |
| 442 | C2×D8 | — | 26 | 1 | no | — |
| 443 | C2×D8 | — | 26 | 1 | no | — |
| 444 | C2×D8 | — | 26 | 1 | no | — |
| 445 | C2×D8 | — | 26 | 2 | no | — |
| 446 | C2×D8 | — | 26 | 2 | no | — |
| 447 | C2×D8 | — | 26 | 2 | no | — |
| 448 | C2×D8 | — | 26 | 1 | no | — |
| 449 | C2×D8 | C2×#261 | 1 | 1 | yes | characteristic |
| 450 | #131 | — | 13 | 1 | no | — |
| 451 | #131 | — | 13 | 1 | no | — |
| 452 | #131 | — | 13 | 1 | no | — |
| 453 | #131 | — | 26 | 1 | no | — |
| 454 | #131 | — | 26 | 1 | no | — |
| 455 | #131 | C2×#261 | 1 | 1 | yes | characteristic |
| 456 | C2×M16 | — | 13 | 1 | no | — |
| 457 | C2×M16 | — | 26 | 1 | no | — |
| 458 | C2×M16 | — | 26 | 1 | no | — |
| 459 | C22×C8 | — | 13 | 1 | no | — |
| 460 | C22×C8 | — | 26 | 1 | no | — |
| 461 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 462 | M32 | — | 26 | 1 | no | — |
| 463 | M32 | — | 26 | 1 | no | — |
| 464 | C2×C16 | — | 26 | 1 | no | — |
| 465 | C2×C16 | — | 26 | 1 | no | — |
| 466 | C2×C16 | — | 26 | 1 | no | — |
| 467 | C2×C16 | — | 26 | 1 | no | — |
| 468 | #108 | — | 26 | 1 | no | — |
| 469 | #108 | — | 26 | 1 | no | — |
| 470 | #107 | — | 26 | 1 | no | — |
| 471 | #107 | — | 26 | 1 | no | — |
| 472 | #103 | — | 52 | 1 | no | — |
| 473 | #102 | — | 52 | 1 | no | — |
| 474 | C2×C13 | — | 2 | 1 | no | — |
| 475 | C2×C13 | — | 4 | 1 | no | — |
| 476 | C2×C13 | — | 8 | 2 | no | — |
| 477 | C2×C13 | — | 8 | 1 | no | — |
| 478 | C2×C13 | #1786 | 1 | 1 | yes | characteristic |
| 479 | D13 | — | 2 | 1 | no | — |
| 480 | D13 | — | 4 | 1 | no | — |
| 481 | D13 | — | 8 | 2 | no | — |
| 482 | D13 | — | 8 | 1 | no | — |
| 483 | D13 | #2192 | 1 | 1 | yes | characteristic |
| 484 | D13 | #2194 | 1 | 1 | yes | characteristic |
| 485 | C24 | — | 52 | 1 | no | — |
| 486 | C24 | — | 52 | 2 | no | — |
| 487 | #41 | — | 2 | 2 | no | — |
| 488 | #41 | — | 2 | 1 | no | — |
| 489 | #41 | — | 4 | 1 | no | — |
| 490 | #41 | — | 13 | 1 | no | — |
| 491 | #41 | — | 13 | 1 | no | — |
| 492 | #41 | — | 13 | 1 | no | — |
| 493 | #41 | — | 26 | 1 | no | — |
| 494 | #41 | — | 26 | 2 | no | — |
| 495 | #41 | — | 26 | 1 | no | — |
| 496 | #41 | — | 26 | 1 | no | — |
| 497 | #41 | — | 26 | 1 | no | — |
| 498 | #41 | — | 26 | 2 | no | — |
| 499 | #41 | — | 26 | 2 | no | — |
| 500 | #41 | — | 26 | 1 | no | — |
| 501 | #41 | — | 52 | 1 | no | — |
| 502 | #41 | — | 52 | 2 | no | — |
| 503 | #41 | — | 52 | 1 | no | — |
| 504 | #41 | — | 52 | 2 | no | — |
| 505 | #41 | — | 52 | 1 | no | — |
| 506 | #41 | — | 52 | 2 | no | — |
| 507 | #41 | — | 52 | 1 | no | — |
| 508 | #41 | — | 52 | 2 | no | — |
| 509 | #41 | — | 52 | 1 | no | — |
| 510 | #41 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 511 | C2×Q8 | — | 13 | 1 | no | — |
| 512 | C2×Q8 | — | 26 | 1 | no | — |
| 513 | C2×D4 | — | 2 | 2 | no | — |
| 514 | C2×D4 | — | 2 | 1 | no | — |
| 515 | C2×D4 | — | 4 | 2 | no | — |
| 516 | C2×D4 | — | 4 | 1 | no | — |
| 517 | C2×D4 | — | 13 | 1 | no | — |
| 518 | C2×D4 | — | 26 | 2 | no | — |
| 519 | C2×D4 | — | 26 | 2 | no | — |
| 520 | C2×D4 | — | 26 | 1 | no | — |
| 521 | C2×D4 | — | 26 | 2 | no | — |
| 522 | C2×D4 | — | 26 | 1 | no | — |
| 523 | C2×D4 | — | 26 | 2 | no | — |
| 524 | C2×D4 | — | 26 | 2 | no | — |
| 525 | C2×D4 | — | 26 | 1 | no | — |
| 526 | C2×D4 | — | 52 | 1 | no | — |
| 527 | C2×D4 | — | 52 | 2 | no | — |
| 528 | C2×D4 | — | 52 | 1 | no | — |
| 529 | C2×D4 | — | 52 | 1 | no | — |
| 530 | C2×D4 | — | 52 | 1 | no | — |
| 531 | C2×D4 | — | 52 | 2 | no | — |
| 532 | C2×D4 | — | 52 | 2 | no | — |
| 533 | C2×D4 | — | 52 | 2 | no | — |
| 534 | C2×D4 | — | 52 | 2 | no | — |
| 535 | C2×D4 | — | 52 | 1 | no | — |
| 536 | C2×D4 | — | 52 | 2 | no | — |
| 537 | C2×D4 | — | 52 | 2 | no | — |
| 538 | C2×D4 | — | 52 | 2 | no | — |
| 539 | C2×D4 | — | 52 | 2 | no | — |
| 540 | C2×D4 | — | 52 | 1 | no | — |
| 541 | C2×D4 | — | 52 | 2 | no | — |
| 542 | C2×D4 | — | 52 | 2 | no | — |
| 543 | C2×D4 | — | 52 | 2 | no | — |
| 544 | C2×D4 | — | 52 | 2 | no | — |
| 545 | C2×D4 | — | 52 | 1 | no | — |
| 546 | C22×C4 | — | 13 | 1 | no | — |
| 547 | C22×C4 | — | 26 | 1 | no | — |
| 548 | C22×C4 | — | 52 | 1 | no | — |
| 549 | C22×C4 | — | 52 | 2 | no | — |
| 550 | C22×C4 | — | 52 | 1 | no | — |
| 551 | Q16 | — | 13 | 1 | no | — |
| 552 | Q16 | — | 26 | 1 | no | — |
| 553 | Q16 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 554 | SD16 | — | 2 | 2 | no | — |
| 555 | SD16 | — | 2 | 1 | no | — |
| 556 | SD16 | — | 26 | 2 | no | — |
| 557 | SD16 | — | 26 | 1 | no | — |
| 558 | SD16 | — | 26 | 1 | no | — |
| 559 | SD16 | — | 26 | 2 | no | — |
| 560 | SD16 | — | 26 | 2 | no | — |
| 561 | SD16 | — | 26 | 1 | no | — |
| 562 | D8 | — | 2 | 2 | no | — |
| 563 | D8 | — | 2 | 1 | no | — |
| 564 | D8 | — | 13 | 2 | no | — |
| 565 | D8 | — | 13 | 1 | no | — |
| 566 | D8 | — | 26 | 2 | no | — |
| 567 | D8 | — | 26 | 2 | no | — |
| 568 | D8 | — | 26 | 1 | no | — |
| 569 | D8 | — | 26 | 2 | no | — |
| 570 | D8 | — | 26 | 2 | no | — |
| 571 | D8 | — | 26 | 2 | no | — |
| 572 | D8 | — | 26 | 1 | no | — |
| 573 | D8 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 574 | D8 | C22⋊#261 | 1 | 2 | yes | — |
| 575 | M16 | — | 2 | 1 | no | — |
| 576 | M16 | — | 13 | 1 | no | — |
| 577 | M16 | — | 26 | 1 | no | — |
| 578 | M16 | — | 26 | 1 | no | — |
| 579 | M16 | — | 26 | 1 | no | — |
| 580 | M16 | — | 26 | 1 | no | — |
| 581 | M16 | — | 52 | 1 | no | — |
| 582 | M16 | — | 52 | 1 | no | — |
| 583 | M16 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 584 | C2×C8 | — | 2 | 1 | no | — |
| 585 | C2×C8 | — | 13 | 1 | no | — |
| 586 | C2×C8 | — | 13 | 1 | no | — |
| 587 | C2×C8 | — | 13 | 1 | no | — |
| 588 | C2×C8 | — | 13 | 1 | no | — |
| 589 | C2×C8 | — | 13 | 1 | no | — |
| 590 | C2×C8 | — | 26 | 1 | no | — |
| 591 | C2×C8 | — | 26 | 1 | no | — |
| 592 | C2×C8 | — | 26 | 1 | no | — |
| 593 | C2×C8 | — | 26 | 1 | no | — |
| 594 | C2×C8 | — | 52 | 1 | no | — |
| 595 | C2×C8 | C22×#261 | 1 | 1 | yes | characteristic |
| 596 | C4⋊C4 | — | 52 | 1 | no | — |
| 597 | C4⋊C4 | — | 52 | 1 | no | — |
| 598 | C16 | — | 52 | 1 | no | — |
| 599 | C16 | — | 52 | 1 | no | — |
| 600 | C13 | #12748 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 601 | C23 | — | 4 | 2 | no | — |
| 602 | C23 | — | 4 | 1 | no | — |
| 603 | C23 | — | 13 | 1 | no | — |
| 604 | C23 | — | 26 | 1 | no | — |
| 605 | C23 | — | 52 | 2 | no | — |
| 606 | C23 | — | 52 | 1 | no | — |
| 607 | C23 | — | 52 | 2 | no | — |
| 608 | C23 | — | 52 | 2 | no | — |
| 609 | C23 | — | 52 | 2 | no | — |
| 610 | C23 | — | 52 | 2 | no | — |
| 611 | C23 | — | 52 | 1 | no | — |
| 612 | C23 | — | 208 | 1 | no | — |
| 613 | C23 | — | 208 | 1 | no | — |
| 614 | C23 | — | 208 | 2 | no | — |
| 615 | C23 | — | 208 | 2 | no | — |
| 616 | Q8 | — | 2 | 1 | no | — |
| 617 | Q8 | — | 13 | 1 | no | — |
| 618 | Q8 | — | 26 | 1 | no | — |
| 619 | Q8 | — | 26 | 1 | no | — |
| 620 | Q8 | — | 52 | 1 | no | — |
| 621 | Q8 | #88115 | 1 | 1 | yes | characteristic |
| 622 | D4 | — | 2 | 1 | no | — |
| 623 | D4 | — | 2 | 1 | no | — |
| 624 | D4 | — | 2 | 2 | no | — |
| 625 | D4 | — | 4 | 2 | no | — |
| 626 | D4 | — | 4 | 2 | no | — |
| 627 | D4 | — | 4 | 1 | no | — |
| 628 | D4 | — | 4 | 1 | no | — |
| 629 | D4 | — | 13 | 1 | no | — |
| 630 | D4 | — | 26 | 1 | no | — |
| 631 | D4 | — | 26 | 1 | no | — |
| 632 | D4 | — | 26 | 1 | no | — |
| 633 | D4 | — | 26 | 1 | no | — |
| 634 | D4 | — | 26 | 2 | no | — |
| 635 | D4 | — | 26 | 1 | no | — |
| 636 | D4 | — | 52 | 2 | no | — |
| 637 | D4 | — | 52 | 1 | no | — |
| 638 | D4 | — | 52 | 2 | no | — |
| 639 | D4 | — | 52 | 2 | no | — |
| 640 | D4 | — | 52 | 2 | no | — |
| 641 | D4 | — | 52 | 1 | no | — |
| 642 | D4 | — | 52 | 2 | no | — |
| 643 | D4 | — | 52 | 2 | no | — |
| 644 | D4 | — | 52 | 2 | no | — |
| 645 | D4 | — | 52 | 1 | no | — |
| 646 | D4 | — | 52 | 2 | no | — |
| 647 | D4 | — | 52 | 1 | no | — |
| 648 | D4 | — | 52 | 1 | no | — |
| 649 | D4 | #88115 | 1 | 1 | yes | characteristic |
| 650 | C2×C4 | — | 2 | 1 | no | — |
| 651 | C2×C4 | — | 4 | 2 | no | — |
| 652 | C2×C4 | — | 4 | 1 | no | — |
| 653 | C2×C4 | — | 13 | 1 | no | — |
| 654 | C2×C4 | — | 13 | 1 | no | — |
| 655 | C2×C4 | — | 13 | 1 | no | — |
| 656 | C2×C4 | — | 13 | 1 | no | — |
| 657 | C2×C4 | — | 13 | 1 | no | — |
| 658 | C2×C4 | — | 26 | 1 | no | — |
| 659 | C2×C4 | — | 26 | 1 | no | — |
| 660 | C2×C4 | — | 26 | 1 | no | — |
| 661 | C2×C4 | — | 26 | 1 | no | — |
| 662 | C2×C4 | — | 52 | 2 | no | — |
| 663 | C2×C4 | — | 52 | 1 | no | — |
| 664 | C2×C4 | — | 52 | 2 | no | — |
| 665 | C2×C4 | — | 52 | 1 | no | — |
| 666 | C2×C4 | — | 52 | 1 | no | — |
| 667 | C2×C4 | — | 52 | 2 | no | — |
| 668 | C2×C4 | — | 52 | 1 | no | — |
| 669 | C2×C4 | — | 104 | 1 | no | — |
| 670 | C2×C4 | — | 208 | 1 | no | — |
| 671 | C2×C4 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 672 | C8 | — | 2 | 1 | no | — |
| 673 | C8 | — | 13 | 1 | no | — |
| 674 | C8 | — | 13 | 1 | no | — |
| 675 | C8 | — | 26 | 1 | no | — |
| 676 | C8 | — | 104 | 1 | no | — |
| 677 | C8 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 678 | C8 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 679 | C22 | — | 2 | 1 | no | — |
| 680 | C22 | — | 4 | 2 | no | — |
| 681 | C22 | — | 4 | 1 | no | — |
| 682 | C22 | — | 13 | 1 | no | — |
| 683 | C22 | — | 13 | 1 | no | — |
| 684 | C22 | — | 16 | 1 | no | — |
| 685 | C22 | — | 16 | 2 | no | — |
| 686 | C22 | — | 26 | 1 | no | — |
| 687 | C22 | — | 26 | 1 | no | — |
| 688 | C22 | — | 26 | 1 | no | — |
| 689 | C22 | — | 52 | 1 | no | — |
| 690 | C22 | — | 52 | 1 | no | — |
| 691 | C22 | — | 52 | 2 | no | — |
| 692 | C22 | — | 52 | 1 | no | — |
| 693 | C22 | — | 104 | 2 | no | — |
| 694 | C22 | — | 104 | 1 | no | — |
| 695 | C22 | — | 104 | 2 | no | — |
| 696 | C22 | — | 104 | 1 | no | — |
| 697 | C22 | — | 208 | 1 | no | — |
| 698 | C22 | — | 208 | 2 | no | — |
| 699 | C22 | — | 208 | 2 | no | — |
| 700 | C22 | — | 208 | 2 | no | — |
| 701 | C22 | — | 208 | 2 | no | — |
| 702 | C22 | #11719138 | 1 | 1 | yes | characteristic |
| 703 | C4 | — | 2 | 1 | no | — |
| 704 | C4 | — | 4 | 1 | no | — |
| 705 | C4 | — | 13 | 1 | no | — |
| 706 | C4 | — | 13 | 1 | no | — |
| 707 | C4 | — | 26 | 1 | no | — |
| 708 | C4 | — | 52 | 1 | no | — |
| 709 | C4 | — | 208 | 1 | no | — |
| 710 | C4 | C2×#88115 | 1 | 1 | yes | characteristic |
| 711 | C4 | #11719171 | 1 | 1 | yes | characteristic |
| 712 | C2 | — | 2 | 1 | no | — |
| 713 | C2 | — | 4 | 1 | no | — |
| 714 | C2 | — | 8 | 2 | no | — |
| 715 | C2 | — | 8 | 1 | no | — |
| 716 | C2 | — | 13 | 1 | no | — |
| 717 | C2 | — | 13 | 1 | no | — |
| 718 | C2 | — | 26 | 1 | no | — |
| 719 | C2 | — | 52 | 1 | no | — |
| 720 | C2 | — | 104 | 2 | no | — |
| 721 | C2 | — | 104 | 1 | no | — |
| 722 | C2 | #13130674 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D13⋊#361 | C2 | semidirect |
| 2. D13⋊#359 | C2 | semidirect |
| 3. #13131144 | C2 | semidirect |
| 4. C2×#11718276 | C2 | semidirect |
| 5. D13⋊#350 | C2 | semidirect |
| 6. #13130725 | C2 | semidirect |
| 9. C13×#576 | C4 | semidirect |
| 16. #11719474 | C4 | semidirect |
| 20. #11719462 | C4 | semidirect |
| 23. #11719457 | C4 | semidirect |
| 26. D13⋊#108 | C22 | semidirect |
| 27. C2×#88102 | C22 | semidirect |
| 28. D13⋊M32 | C22 | semidirect |
| 29. C2×D13⋊C16 | C22 | semidirect |
| 334. #576 | #261 | semidirect |
| 600. C13 | #12748 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#361 | 2 |
| D13⋊#359 | 2 |
| #13131144 | 2 |
| C2×#11718276 | 2 |
| D13⋊#350 | 2 |
| #13130725 | 2 |
| D13×#576 | 2 |
| #12748 | 13 |