Finite Group DatabasebetaFinite Group DatabasebetaOrder 4096.
565896955 conjugacy classes of subgroups.
The subgroup lattice has 265 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C27×#41 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C27×M16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C27×SD16 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C27×Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 5 | C27×D8 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C26×AGL(1,ℤ/8) | C2 | 1 | 1016 | yes | maximal, direct product factor |
| 7 | C26×M16 | C22 | 1 | 508 | yes | complemented |
| 8 | C26×SD16 | C22 | 1 | 1016 | yes | complemented |
| 9 | C26×D8 | C22 | 1 | 1016 | yes | complemented |
| 10 | C26×#41 | — | 2 | 254 | no | — |
| 11 | C26×#41 | C22 | 1 | 508 | yes | complemented |
| 12 | C28×D4 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C25×AGL(1,ℤ/8) | C22 | 1 | 170688 | yes | direct product factor |
| 14 | C27×D4 | — | 2 | 1 | no | — |
| 15 | C27×D4 | — | 2 | 254 | no | — |
| 16 | C27×D4 | — | 2 | 1 | no | — |
| 17 | C27×D4 | C22 | 1 | 2 | yes | — |
| 18 | C27×D4 | C22 | 1 | 508 | yes | complemented |
| 19 | C27×D4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C210 | — | 2 | 1 | no | — |
| 21 | C28×C4 | — | 2 | 1 | no | — |
| 22 | C28×C4 | C22 | 1 | 1 | yes | characteristic |
| 23 | C27×C8 | C22 | 1 | 2 | yes | complemented |
| 24 | C29 | — | 2 | 508 | no | — |
| 25 | C29 | — | 2 | 1 | no | — |
| 26 | C29 | — | 2 | 2 | no | — |
| 27 | C29 | — | 4 | 256 | no | — |
| 28 | C29 | D4 | 1 | 1 | yes | characteristic |
| 29 | C25×#41 | — | 2 | 64008 | no | — |
| 30 | C25×#41 | C23 | 1 | 42672 | yes | complemented |
| 31 | C26×Q8 | — | 2 | 127 | no | — |
| 32 | C26×Q8 | C23 | 1 | 254 | yes | complemented |
| 33 | C26×D4 | — | 2 | 508 | no | — |
| 34 | C26×D4 | — | 2 | 127 | no | — |
| 35 | C26×D4 | — | 2 | 254 | no | — |
| 36 | C26×D4 | — | 2 | 508 | no | — |
| 37 | C26×D4 | — | 2 | 64008 | no | — |
| 38 | C26×D4 | C23 | 1 | 508 | yes | — |
| 39 | C26×D4 | C23 | 1 | 42672 | yes | complemented |
| 40 | C26×D4 | C23 | 1 | 254 | yes | complemented |
| 41 | C27×C4 | — | 2 | 1 | no | — |
| 42 | C27×C4 | — | 2 | 508 | no | — |
| 43 | C27×C4 | D4 | 1 | 254 | yes | — |
| 44 | C27×C4 | D4 | 1 | 1 | yes | characteristic |
| 45 | C27×C4 | C23 | 1 | 254 | yes | — |
| 46 | C27×C4 | C23 | 1 | 1 | yes | characteristic |
| 47 | C25×SD16 | C23 | 1 | 85344 | yes | complemented |
| 48 | C24×AGL(1,ℤ/8) | C23 | 1 | 6047232 | yes | direct product factor |
| 49 | C25×D8 | C23 | 1 | 85344 | yes | complemented |
| 50 | C25×M16 | C23 | 1 | 42672 | yes | complemented |
| 51 | C26×C8 | C23 | 1 | 508 | yes | complemented |
| 52 | C28 | — | 2 | 128 | no | — |
| 53 | C28 | — | 2 | 254 | no | — |
| 54 | C28 | — | 2 | 508 | no | — |
| 55 | C28 | — | 2 | 42672 | no | — |
| 56 | C28 | — | 4 | 65024 | no | — |
| 57 | C28 | — | 4 | 128 | no | — |
| 58 | C28 | — | 4 | 256 | no | — |
| 59 | C28 | C2×D4 | 1 | 254 | yes | — |
| 60 | C28 | C2×D4 | 1 | 1 | yes | characteristic |
| 61 | C24×#41 | — | 2 | 2645664 | no | — |
| 62 | C24×#41 | C24 | 1 | 755904 | yes | complemented |
| 63 | C25×Q8 | — | 2 | 16002 | no | — |
| 64 | C25×Q8 | C24 | 1 | 10668 | yes | complemented |
| 65 | C25×D4 | — | 2 | 42672 | no | — |
| 66 | C25×D4 | — | 2 | 32004 | no | — |
| 67 | C25×D4 | — | 2 | 42672 | no | — |
| 68 | C25×D4 | — | 2 | 2645664 | no | — |
| 69 | C25×D4 | — | 2 | 16002 | no | — |
| 70 | C25×D4 | C24 | 1 | 21336 | yes | — |
| 71 | C25×D4 | C24 | 1 | 755904 | yes | complemented |
| 72 | C25×D4 | C24 | 1 | 10668 | yes | complemented |
| 73 | C26×C4 | — | 2 | 254 | no | — |
| 74 | C26×C4 | — | 2 | 42672 | no | — |
| 75 | C26×C4 | C2×D4 | 1 | 254 | yes | — |
| 76 | C26×C4 | C2×D4 | 1 | 127 | yes | — |
| 77 | C26×C4 | C2×D4 | 1 | 32004 | yes | — |
| 78 | C26×C4 | C24 | 1 | 127 | yes | — |
| 79 | C26×C4 | C24 | 1 | 10668 | yes | — |
| 80 | C23×AGL(1,ℤ/8) | C24 | 1 | 48377856 | yes | direct product factor |
| 81 | C24×SD16 | C24 | 1 | 1511808 | yes | complemented |
| 82 | C24×D8 | C24 | 1 | 1511808 | yes | complemented |
| 83 | C24×M16 | C24 | 1 | 755904 | yes | complemented |
| 84 | C25×C8 | C24 | 1 | 21336 | yes | complemented |
| 85 | C27 | — | 2 | 16256 | no | — |
| 86 | C27 | — | 2 | 10668 | no | — |
| 87 | C27 | — | 2 | 21336 | no | — |
| 88 | C27 | — | 2 | 755904 | no | — |
| 89 | C27 | — | 4 | 2731008 | no | — |
| 90 | C27 | — | 4 | 16256 | no | — |
| 91 | C27 | — | 4 | 32512 | no | — |
| 92 | C27 | AGL(1,ℤ/8) | 1 | 128 | yes | direct product factor |
| 93 | C27 | C22×D4 | 1 | 10668 | yes | — |
| 94 | C27 | C22×D4 | 1 | 127 | yes | — |
| 95 | C23×#41 | — | 2 | 22677120 | no | — |
| 96 | C23×#41 | C25 | 1 | 3023616 | yes | complemented |
| 97 | C24×Q8 | — | 2 | 330708 | no | — |
| 98 | C24×Q8 | C25 | 1 | 94488 | yes | complemented |
| 99 | C24×D4 | — | 2 | 755904 | no | — |
| 100 | C24×D4 | — | 2 | 661416 | no | — |
| 101 | C24×D4 | — | 2 | 755904 | no | — |
| 102 | C24×D4 | — | 2 | 22677120 | no | — |
| 103 | C24×D4 | — | 2 | 330708 | no | — |
| 104 | C24×D4 | C25 | 1 | 188976 | yes | — |
| 105 | C24×D4 | C25 | 1 | 3023616 | yes | complemented |
| 106 | C24×D4 | C25 | 1 | 94488 | yes | complemented |
| 107 | C25×C4 | — | 2 | 10668 | no | — |
| 108 | C25×C4 | — | 2 | 755904 | no | — |
| 109 | C25×C4 | C22×D4 | 1 | 10668 | yes | — |
| 110 | C25×C4 | C22×D4 | 1 | 8001 | yes | — |
| 111 | C25×C4 | C22×D4 | 1 | 661416 | yes | — |
| 112 | C25×C4 | C25 | 1 | 2667 | yes | — |
| 113 | C25×C4 | C25 | 1 | 94488 | yes | — |
| 114 | C22×AGL(1,ℤ/8) | C25 | 1 | 87392256 | yes | direct product factor |
| 115 | C23×SD16 | C25 | 1 | 6047232 | yes | complemented |
| 116 | C23×D8 | C25 | 1 | 6047232 | yes | complemented |
| 117 | C23×M16 | C25 | 1 | 3023616 | yes | complemented |
| 118 | C24×C8 | C25 | 1 | 188976 | yes | complemented |
| 119 | C26 | — | 2 | 341376 | no | — |
| 120 | C26 | — | 2 | 94488 | no | — |
| 121 | C26 | — | 2 | 188976 | no | — |
| 122 | C26 | — | 2 | 3023616 | no | — |
| 123 | C26 | — | 4 | 24188928 | no | — |
| 124 | C26 | — | 4 | 341376 | no | — |
| 125 | C26 | — | 4 | 682752 | no | — |
| 126 | C26 | C2×AGL(1,ℤ/8) | 1 | 8128 | yes | direct product factor |
| 127 | C26 | C23×D4 | 1 | 94488 | yes | — |
| 128 | C26 | C23×D4 | 1 | 2667 | yes | — |
| 129 | C22×#41 | — | 2 | 42330624 | no | — |
| 130 | C22×#41 | C26 | 1 | 2731008 | yes | complemented |
| 131 | C23×Q8 | — | 2 | 1417320 | no | — |
| 132 | C23×Q8 | C26 | 1 | 188976 | yes | complemented |
| 133 | C23×D4 | — | 2 | 3023616 | no | — |
| 134 | C23×D4 | — | 2 | 2834640 | no | — |
| 135 | C23×D4 | — | 2 | 3023616 | no | — |
| 136 | C23×D4 | — | 2 | 42330624 | no | — |
| 137 | C23×D4 | — | 2 | 1417320 | no | — |
| 138 | C23×D4 | C26 | 1 | 377952 | yes | — |
| 139 | C23×D4 | C26 | 1 | 2731008 | yes | complemented |
| 140 | C23×D4 | C26 | 1 | 188976 | yes | complemented |
| 141 | C24×C4 | — | 2 | 94488 | no | — |
| 142 | C24×C4 | — | 2 | 3023616 | no | — |
| 143 | C24×C4 | C23×D4 | 1 | 94488 | yes | — |
| 144 | C24×C4 | C23×D4 | 1 | 82677 | yes | — |
| 145 | C24×C4 | C23×D4 | 1 | 2834640 | yes | — |
| 146 | C24×C4 | C26 | 1 | 11811 | yes | — |
| 147 | C24×C4 | C26 | 1 | 188976 | yes | — |
| 148 | C2×AGL(1,ℤ/8) | C26 | 1 | 33292288 | yes | direct product factor |
| 149 | C22×SD16 | C26 | 1 | 5462016 | yes | complemented |
| 150 | C22×D8 | C26 | 1 | 5462016 | yes | complemented |
| 151 | C22×M16 | C26 | 1 | 2731008 | yes | complemented |
| 152 | C23×C8 | C26 | 1 | 377952 | yes | complemented |
| 153 | C25 | — | 2 | 1511808 | no | — |
| 154 | C25 | — | 2 | 188976 | no | — |
| 155 | C25 | — | 2 | 377952 | no | — |
| 156 | C25 | — | 2 | 2731008 | no | — |
| 157 | C25 | — | 4 | 48377856 | no | — |
| 158 | C25 | — | 4 | 1511808 | no | — |
| 159 | C25 | — | 4 | 3023616 | no | — |
| 160 | C25 | C22×AGL(1,ℤ/8) | 1 | 85344 | yes | direct product factor |
| 161 | C25 | C24×D4 | 1 | 188976 | yes | — |
| 162 | C25 | C24×D4 | 1 | 11811 | yes | — |
| 163 | C2×#41 | — | 2 | 16386048 | no | — |
| 164 | C2×#41 | C27 | 1 | 520192 | yes | complemented |
| 165 | C22×Q8 | — | 2 | 1322832 | no | — |
| 166 | C22×Q8 | C27 | 1 | 85344 | yes | complemented |
| 167 | C22×D4 | — | 2 | 2731008 | no | — |
| 168 | C22×D4 | — | 2 | 2645664 | no | — |
| 169 | C22×D4 | — | 2 | 2731008 | no | — |
| 170 | C22×D4 | — | 2 | 16386048 | no | — |
| 171 | C22×D4 | — | 2 | 1322832 | no | — |
| 172 | C22×D4 | C27 | 1 | 170688 | yes | — |
| 173 | C22×D4 | C27 | 1 | 520192 | yes | complemented |
| 174 | C22×D4 | C27 | 1 | 85344 | yes | complemented |
| 175 | C23×C4 | — | 2 | 188976 | no | — |
| 176 | C23×C4 | — | 2 | 2731008 | no | — |
| 177 | C23×C4 | C24×D4 | 1 | 188976 | yes | — |
| 178 | C23×C4 | C24×D4 | 1 | 177165 | yes | — |
| 179 | C23×C4 | C24×D4 | 1 | 2645664 | yes | — |
| 180 | C23×C4 | C27 | 1 | 11811 | yes | — |
| 181 | C23×C4 | C27 | 1 | 85344 | yes | — |
| 182 | AGL(1,ℤ/8) | C27 | 1 | 2097152 | yes | direct product factor |
| 183 | C2×SD16 | C27 | 1 | 1040384 | yes | complemented |
| 184 | C2×D8 | C27 | 1 | 1040384 | yes | complemented |
| 185 | C2×M16 | C27 | 1 | 520192 | yes | complemented |
| 186 | C22×C8 | C27 | 1 | 170688 | yes | complemented |
| 187 | C24 | — | 2 | 1511808 | no | — |
| 188 | C24 | — | 2 | 85344 | no | — |
| 189 | C24 | — | 2 | 170688 | no | — |
| 190 | C24 | — | 2 | 520192 | no | — |
| 191 | C24 | — | 4 | 21848064 | no | — |
| 192 | C24 | — | 4 | 1511808 | no | — |
| 193 | C24 | — | 4 | 3023616 | no | — |
| 194 | C24 | C23×AGL(1,ℤ/8) | 1 | 188976 | yes | direct product factor |
| 195 | C24 | C25×D4 | 1 | 85344 | yes | — |
| 196 | C24 | C25×D4 | 1 | 11811 | yes | — |
| 197 | #41 | — | 2 | 1040384 | no | — |
| 198 | #41 | C28 | 1 | 16384 | yes | complemented |
| 199 | C2×Q8 | — | 2 | 256032 | no | — |
| 200 | C2×Q8 | C28 | 1 | 8128 | yes | complemented |
| 201 | C2×D4 | — | 2 | 520192 | no | — |
| 202 | C2×D4 | — | 2 | 512064 | no | — |
| 203 | C2×D4 | — | 2 | 520192 | no | — |
| 204 | C2×D4 | — | 2 | 1040384 | no | — |
| 205 | C2×D4 | — | 2 | 256032 | no | — |
| 206 | C2×D4 | C28 | 1 | 16256 | yes | — |
| 207 | C2×D4 | C28 | 1 | 16384 | yes | complemented |
| 208 | C2×D4 | C28 | 1 | 8128 | yes | complemented |
| 209 | C22×C4 | — | 2 | 85344 | no | — |
| 210 | C22×C4 | — | 2 | 520192 | no | — |
| 211 | C22×C4 | C25×D4 | 1 | 85344 | yes | — |
| 212 | C22×C4 | C25×D4 | 1 | 82677 | yes | — |
| 213 | C22×C4 | C25×D4 | 1 | 512064 | yes | — |
| 214 | C22×C4 | C28 | 1 | 2667 | yes | — |
| 215 | C22×C4 | C28 | 1 | 8128 | yes | — |
| 216 | SD16 | C28 | 1 | 32768 | yes | complemented |
| 217 | D8 | C28 | 1 | 32768 | yes | complemented |
| 218 | M16 | C28 | 1 | 16384 | yes | complemented |
| 219 | C2×C8 | C28 | 1 | 16256 | yes | complemented |
| 220 | C23 | — | 2 | 341376 | no | — |
| 221 | C23 | — | 2 | 8128 | no | — |
| 222 | C23 | — | 2 | 16256 | no | — |
| 223 | C23 | — | 2 | 16384 | no | — |
| 224 | C23 | — | 4 | 2080768 | no | — |
| 225 | C23 | — | 4 | 341376 | no | — |
| 226 | C23 | — | 4 | 682752 | no | — |
| 227 | C23 | C24×AGL(1,ℤ/8) | 1 | 94488 | yes | direct product factor |
| 228 | C23 | C26×D4 | 1 | 8128 | yes | — |
| 229 | C23 | C26×D4 | 1 | 2667 | yes | — |
| 230 | Q8 | — | 2 | 8128 | no | — |
| 231 | Q8 | C29 | 1 | 128 | yes | complemented |
| 232 | D4 | — | 2 | 16384 | no | — |
| 233 | D4 | — | 2 | 16256 | no | — |
| 234 | D4 | — | 2 | 16384 | no | — |
| 235 | D4 | — | 2 | 8128 | no | — |
| 236 | D4 | C29 | 1 | 256 | yes | — |
| 237 | D4 | C29 | 1 | 128 | yes | complemented |
| 238 | C2×C4 | — | 2 | 8128 | no | — |
| 239 | C2×C4 | — | 2 | 16384 | no | — |
| 240 | C2×C4 | C26×D4 | 1 | 8128 | yes | — |
| 241 | C2×C4 | C26×D4 | 1 | 8001 | yes | — |
| 242 | C2×C4 | C26×D4 | 1 | 16256 | yes | — |
| 243 | C2×C4 | C29 | 1 | 127 | yes | — |
| 244 | C2×C4 | C29 | 1 | 128 | yes | — |
| 245 | C8 | C29 | 1 | 256 | yes | complemented |
| 246 | C22 | — | 2 | 16256 | no | — |
| 247 | C22 | — | 2 | 128 | no | — |
| 248 | C22 | — | 2 | 256 | no | — |
| 249 | C22 | — | 4 | 32768 | no | — |
| 250 | C22 | — | 4 | 16256 | no | — |
| 251 | C22 | — | 4 | 32512 | no | — |
| 252 | C22 | C27×D4 | 1 | 128 | yes | — |
| 253 | C22 | C27×D4 | 1 | 127 | yes | — |
| 254 | C22 | C25×AGL(1,ℤ/8) | 1 | 10668 | yes | direct product factor |
| 255 | C4 | — | 2 | 128 | no | — |
| 256 | C4 | C210 | 1 | 1 | yes | characteristic |
| 257 | C4 | C27×D4 | 1 | 128 | yes | — |
| 258 | C4 | C27×D4 | 1 | 127 | yes | — |
| 259 | C2 | — | 2 | 128 | no | — |
| 260 | C2 | — | 4 | 128 | no | — |
| 261 | C2 | — | 4 | 256 | no | — |
| 262 | C2 | C28×D4 | 1 | 1 | yes | characteristic |
| 263 | C2 | C26×AGL(1,ℤ/8) | 1 | 254 | yes | direct product factor |
| subgroup | G/H | |
|---|---|---|
| center, socle | C28 | C2×D4 |
| commutator, Frattini, cosocle | C4 | C210 |
| LCS | G ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C28 ◁ C28×C4 ◁ G | |
| LECS | G ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C27×#41 | C2 | semidirect |
| 2. C27×M16 | C2 | semidirect |
| 3. C27×SD16 | C2 | semidirect |
| 4. C27×Q8 | C22 | semidirect |
| 5. C27×D8 | C2 | semidirect |
| 6. C26×AGL(1,ℤ/8) | C2 | direct (N × H) |
| 7. C26×M16 | C22 | semidirect |
| 8. C26×SD16 | C22 | semidirect |
| 9. C26×D8 | C22 | semidirect |
| 11. C26×#41 | C22 | semidirect |
| 12. C28×D4 | C2 | semidirect |
| 13. C25×AGL(1,ℤ/8) | C22 | direct (N × H) |
| 18. C27×D4 | C22 | semidirect |
| 19. C27×D4 | C22 | semidirect |
| 23. C27×C8 | C22 | semidirect |
| 30. C25×#41 | C23 | semidirect |
| 32. C26×Q8 | C23 | semidirect |
| 39. C26×D4 | C23 | semidirect |
| 40. C26×D4 | C23 | semidirect |
| 47. C25×SD16 | C23 | semidirect |
| 48. C24×AGL(1,ℤ/8) | C23 | direct (N × H) |
| 49. C25×D8 | C23 | semidirect |
| 50. C25×M16 | C23 | semidirect |
| 51. C26×C8 | C23 | semidirect |
| 62. C24×#41 | C24 | semidirect |
| 64. C25×Q8 | C24 | semidirect |
| 71. C25×D4 | C24 | semidirect |
| 72. C25×D4 | C24 | semidirect |
| 80. C23×AGL(1,ℤ/8) | C24 | direct (N × H) |
| 81. C24×SD16 | C24 | semidirect |
| 82. C24×D8 | C24 | semidirect |
| 83. C24×M16 | C24 | semidirect |
| 84. C25×C8 | C24 | semidirect |
| 92. C27 | AGL(1,ℤ/8) | direct (N × H) |
| 96. C23×#41 | C25 | semidirect |
| 98. C24×Q8 | C25 | semidirect |
| 105. C24×D4 | C25 | semidirect |
| 106. C24×D4 | C25 | semidirect |
| 114. C22×AGL(1,ℤ/8) | C25 | direct (N × H) |
| 115. C23×SD16 | C25 | semidirect |
| 116. C23×D8 | C25 | semidirect |
| 117. C23×M16 | C25 | semidirect |
| 118. C24×C8 | C25 | semidirect |
| 126. C26 | C2×AGL(1,ℤ/8) | direct (N × H) |
| 130. C22×#41 | C26 | semidirect |
| 132. C23×Q8 | C26 | semidirect |
| 139. C23×D4 | C26 | semidirect |
| 140. C23×D4 | C26 | semidirect |
| 148. C2×AGL(1,ℤ/8) | C26 | direct (N × H) |
| 149. C22×SD16 | C26 | semidirect |
| 150. C22×D8 | C26 | semidirect |
| 151. C22×M16 | C26 | semidirect |
| 152. C23×C8 | C26 | semidirect |
| 160. C25 | C22×AGL(1,ℤ/8) | direct (N × H) |
| 164. C2×#41 | C27 | semidirect |
| 166. C22×Q8 | C27 | semidirect |
| 173. C22×D4 | C27 | semidirect |
| 174. C22×D4 | C27 | semidirect |
| 182. AGL(1,ℤ/8) | C27 | direct (N × H) |
| 183. C2×SD16 | C27 | semidirect |
| 184. C2×D8 | C27 | semidirect |
| 185. C2×M16 | C27 | semidirect |
| 186. C22×C8 | C27 | semidirect |
| 194. C24 | C23×AGL(1,ℤ/8) | direct (N × H) |
| 198. #41 | C28 | semidirect |
| 200. C2×Q8 | C28 | semidirect |
| 207. C2×D4 | C28 | semidirect |
| 208. C2×D4 | C28 | semidirect |
| 216. SD16 | C28 | semidirect |
| 217. D8 | C28 | semidirect |
| 218. M16 | C28 | semidirect |
| 219. C2×C8 | C28 | semidirect |
| 227. C23 | C24×AGL(1,ℤ/8) | direct (N × H) |
| 231. Q8 | C29 | semidirect |
| 237. D4 | C29 | semidirect |
| 245. C8 | C29 | semidirect |
| 254. C22 | C25×AGL(1,ℤ/8) | direct (N × H) |
| 263. C2 | C26×AGL(1,ℤ/8) | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C27×#41 | 2 |
| C27×M16 | 2 |
| C27×SD16 | 2 |
| C27×D8 | 2 |
| C26×AGL(1,ℤ/8) | 2 |
| C28×D4 | 2 |