Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1128 conjugacy classes of subgroups.
The subgroup lattice has 424 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #14545752 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #14545438 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #14545106 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #14545104 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | C2×#11763726 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | D17⋊#360 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #14543554 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #11763878 | — | 2 | 1 | no | — |
| 9 | #11763868 | — | 2 | 3 | no | — |
| 10 | #11763867 | — | 2 | 1 | no | — |
| 11 | C2×#10587530 | C22 | 1 | 3 | yes | complemented |
| 12 | #11763865 | C22 | 1 | 3 | yes | complemented |
| 13 | #11763820 | — | 2 | 3 | no | — |
| 14 | #11763819 | C22 | 1 | 3 | yes | complemented |
| 15 | C2×#10587533 | C22 | 1 | 3 | yes | complemented |
| 16 | #11763726 | C22 | 1 | 6 | yes | complemented |
| 17 | #11763726 | C22 | 1 | 3 | yes | complemented |
| 18 | #11763726 | C22 | 1 | 3 | yes | complemented |
| 19 | #11763725 | C22 | 1 | 3 | yes | complemented |
| 20 | #11763725 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #11763646 | — | 2 | 1 | no | — |
| 22 | #11763622 | C4 | 1 | 3 | yes | complemented |
| 23 | #11763618 | — | 2 | 3 | no | — |
| 24 | #11763617 | — | 2 | 1 | no | — |
| 25 | #11763614 | C4 | 1 | 1 | yes | characteristic, complemented |
| 26 | #11763611 | C4 | 1 | 3 | yes | complemented |
| 27 | #11763608 | — | 2 | 3 | no | — |
| 28 | C2×#10587605 | C22 | 1 | 3 | yes | — |
| 29 | #135×D17 | C22 | 1 | 3 | yes | — |
| 30 | #131×D17 | C22 | 1 | 1 | yes | characteristic |
| 31 | C17×#578 | C4 | 1 | 1 | yes | characteristic, complemented |
| 32 | C17×2−1+4 | — | 2 | 1 | no | — |
| 33 | #10587696 | — | 2 | 1 | no | — |
| 34 | #10587696 | — | 2 | 3 | no | — |
| 35 | #10587696 | — | 4 | 3 | no | — |
| 36 | #41×D17 | — | 2 | 3 | no | — |
| 37 | #41×D17 | — | 4 | 3 | no | — |
| 38 | #41×D17 | D4 | 1 | 1 | yes | characteristic |
| 39 | #10587694 | — | 2 | 3 | no | — |
| 40 | #10587694 | — | 4 | 1 | no | — |
| 41 | C2×#63256 | — | 2 | 3 | no | — |
| 42 | C2×#63256 | — | 4 | 1 | no | — |
| 43 | Q8×#595 | — | 4 | 1 | no | — |
| 44 | D4×#595 | — | 4 | 3 | no | — |
| 45 | #10587677 | — | 2 | 3 | no | — |
| 46 | C2×C4⋊#595 | — | 2 | 3 | no | — |
| 47 | C17×#137 | — | 2 | 3 | no | — |
| 48 | C17×#135 | C2×C4 | 1 | 3 | yes | complemented |
| 49 | C2×Q16×C17 | C2×C4 | 1 | 3 | yes | complemented |
| 50 | C17×#131 | C2×C4 | 1 | 1 | yes | characteristic |
| 51 | #10587636 | — | 2 | 3 | no | — |
| 52 | #10587635 | — | 2 | 3 | no | — |
| 53 | #10587634 | D4 | 1 | 1 | yes | characteristic |
| 54 | #10587628 | — | 2 | 3 | no | — |
| 55 | C2×#63230 | — | 2 | 3 | no | — |
| 56 | #10587605 | — | 2 | 3 | no | — |
| 57 | #10587605 | — | 2 | 3 | no | — |
| 58 | #10587605 | C2×C4 | 1 | 6 | yes | complemented |
| 59 | #10587605 | C23 | 1 | 3 | yes | — |
| 60 | #10587604 | — | 2 | 6 | no | — |
| 61 | Q16×D17 | C2×C4 | 1 | 3 | yes | complemented |
| 62 | #10587602 | — | 2 | 3 | no | — |
| 63 | #10587600 | — | 2 | 6 | no | — |
| 64 | SD16×D17 | — | 2 | 3 | no | — |
| 65 | #10587598 | C23 | 1 | 1 | yes | characteristic |
| 66 | D8×D17 | C2×C4 | 1 | 3 | yes | complemented |
| 67 | #10587594 | — | 2 | 3 | no | — |
| 68 | #10587593 | D4 | 1 | 3 | yes | — |
| 69 | M16×D17 | D4 | 1 | 3 | yes | — |
| 70 | #10587590 | C2×C4 | 1 | 3 | yes | complemented |
| 71 | C2×D136 | C2×C4 | 1 | 3 | yes | complemented |
| 72 | #10587587 | C2×C4 | 1 | 3 | yes | — |
| 73 | C2×C8×D17 | C23 | 1 | 3 | yes | — |
| 74 | #10587538 | — | 2 | 3 | no | — |
| 75 | C2×#63216 | — | 2 | 3 | no | — |
| 76 | #10587534 | — | 2 | 3 | no | — |
| 77 | #10587533 | — | 2 | 3 | no | — |
| 78 | #10587533 | C23 | 1 | 3 | yes | — |
| 79 | #10587533 | C23 | 1 | 1 | yes | characteristic |
| 80 | #10587530 | — | 2 | 3 | no | — |
| 81 | #10587530 | C23 | 1 | 3 | yes | — |
| 82 | #10587530 | C23 | 1 | 1 | yes | characteristic |
| 83 | #10587529 | — | 2 | 3 | no | — |
| 84 | C22×#595 | — | 4 | 3 | no | — |
| 85 | #41×C17 | — | 2 | 3 | no | — |
| 86 | #41×C17 | — | 4 | 3 | no | — |
| 87 | #41×C17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 88 | C2×Q8×C17 | — | 2 | 3 | no | — |
| 89 | C2×Q8×C17 | — | 4 | 1 | no | — |
| 90 | #63256 | — | 2 | 6 | no | — |
| 91 | #63256 | — | 2 | 3 | no | — |
| 92 | #63256 | — | 4 | 1 | no | — |
| 93 | #63256 | — | 4 | 3 | no | — |
| 94 | #63256 | — | 4 | 3 | no | — |
| 95 | #63256 | — | 4 | 3 | no | — |
| 96 | #63256 | SD16 | 1 | 1 | yes | characteristic |
| 97 | Q8×D17 | — | 2 | 3 | no | — |
| 98 | Q8×D17 | — | 4 | 3 | no | — |
| 99 | Q8×D17 | D8 | 1 | 1 | yes | characteristic |
| 100 | #63254 | — | 2 | 1 | no | — |
| 101 | #63254 | — | 4 | 3 | no | — |
| 102 | #63254 | SD16 | 1 | 3 | yes | — |
| 103 | D4×D17 | — | 2 | 3 | no | — |
| 104 | D4×D17 | — | 4 | 3 | no | — |
| 105 | D4×D17 | — | 4 | 3 | no | — |
| 106 | D4×D17 | — | 4 | 6 | no | — |
| 107 | D4×D17 | D8 | 1 | 3 | yes | — |
| 108 | #63252 | — | 2 | 3 | no | — |
| 109 | #63252 | — | 4 | 6 | no | — |
| 110 | #63252 | — | 4 | 3 | no | — |
| 111 | #63252 | — | 4 | 3 | no | — |
| 112 | #63252 | C22⋊C4 | 1 | 3 | yes | — |
| 113 | C2×D68 | — | 2 | 3 | no | — |
| 114 | C2×D68 | — | 4 | 3 | no | — |
| 115 | C2×D68 | — | 4 | 3 | no | — |
| 116 | C2×C4×D17 | — | 4 | 3 | no | — |
| 117 | C2×C4×D17 | — | 4 | 3 | no | — |
| 118 | C2×C4×D17 | C2×D4 | 1 | 3 | yes | — |
| 119 | C22⋊#595 | — | 4 | 3 | no | — |
| 120 | C4⋊#595 | — | 2 | 3 | no | — |
| 121 | C4⋊#595 | — | 2 | 1 | no | — |
| 122 | C4⋊#595 | — | 4 | 3 | no | — |
| 123 | C4×#595 | — | 4 | 3 | no | — |
| 124 | Q16×C17 | — | 2 | 3 | no | — |
| 125 | Q16×C17 | C22×C4 | 1 | 3 | yes | — |
| 126 | SD16×C17 | — | 2 | 3 | no | — |
| 127 | D8×C17 | C22×C4 | 1 | 1 | yes | characteristic |
| 128 | M16×C17 | C22⋊C4 | 1 | 3 | yes | — |
| 129 | C2×C8×C17 | C22×C4 | 1 | 3 | yes | — |
| 130 | #63231 | — | 2 | 3 | no | — |
| 131 | #63230 | — | 2 | 6 | no | — |
| 132 | #63230 | — | 2 | 3 | no | — |
| 133 | #63229 | — | 2 | 1 | no | — |
| 134 | #63228 | — | 2 | 3 | no | — |
| 135 | #63223 | C22⋊C4 | 1 | 3 | yes | — |
| 136 | C2×#3622 | C2×D4 | 1 | 3 | yes | — |
| 137 | Dic68 | C22×C4 | 1 | 1 | yes | characteristic |
| 138 | D136 | — | 2 | 3 | no | — |
| 139 | D136 | C22×C4 | 1 | 3 | yes | — |
| 140 | #63219 | — | 2 | 3 | no | — |
| 141 | #63218 | C22⋊C4 | 1 | 6 | yes | — |
| 142 | C8×D17 | C22×C4 | 1 | 3 | yes | — |
| 143 | C8×D17 | C2×D4 | 1 | 3 | yes | — |
| 144 | C8×D17 | C2×D4 | 1 | 3 | yes | — |
| 145 | C8×D17 | C24 | 1 | 1 | yes | characteristic |
| 146 | #63216 | — | 2 | 3 | no | — |
| 147 | #63216 | — | 2 | 1 | no | — |
| 148 | #33388 | — | 17 | 1 | no | maximal, Sylow |
| 149 | C22×D17 | — | 4 | 3 | no | — |
| 150 | C22×D17 | — | 4 | 3 | no | — |
| 151 | C22×D17 | C2×D8 | 1 | 3 | yes | — |
| 152 | C2×#595 | — | 4 | 1 | no | — |
| 153 | C2×#595 | — | 4 | 3 | no | — |
| 154 | C2×#595 | — | 16 | 3 | no | — |
| 155 | Q8×C17 | — | 2 | 3 | no | — |
| 156 | Q8×C17 | — | 4 | 3 | no | — |
| 157 | Q8×C17 | #102 | 1 | 1 | yes | characteristic |
| 158 | D4×C17 | — | 2 | 1 | no | — |
| 159 | D4×C17 | — | 4 | 3 | no | — |
| 160 | D4×C17 | #102 | 1 | 3 | yes | — |
| 161 | C2×C4×C17 | — | 4 | 3 | no | — |
| 162 | C2×C4×C17 | — | 4 | 3 | no | — |
| 163 | C2×C4×C17 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 164 | C22⋊D17 | — | 4 | 3 | no | — |
| 165 | C22⋊D17 | — | 4 | 1 | no | — |
| 166 | C22⋊D17 | — | 4 | 3 | no | — |
| 167 | C22⋊D17 | #102 | 1 | 6 | yes | — |
| 168 | C2×Dic17 | — | 4 | 1 | no | — |
| 169 | C2×Dic17 | C2×SD16 | 1 | 3 | yes | — |
| 170 | D68 | — | 2 | 3 | no | — |
| 171 | D68 | — | 4 | 3 | no | — |
| 172 | D68 | — | 4 | 6 | no | — |
| 173 | D68 | — | 4 | 3 | no | — |
| 174 | D68 | #102 | 1 | 3 | yes | — |
| 175 | C4×D17 | — | 4 | 3 | no | — |
| 176 | C4×D17 | — | 4 | 3 | no | — |
| 177 | C4×D17 | — | 4 | 3 | no | — |
| 178 | C4×D17 | — | 4 | 6 | no | — |
| 179 | C4×D17 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 180 | C4×D17 | C2×D8 | 1 | 3 | yes | — |
| 181 | C4×D17 | C2×SD16 | 1 | 3 | yes | — |
| 182 | C4×D17 | C22×D4 | 1 | 1 | yes | characteristic |
| 183 | Dic34 | — | 2 | 1 | no | — |
| 184 | Dic34 | — | 4 | 3 | no | — |
| 185 | Dic34 | #102 | 1 | 3 | yes | — |
| 186 | C8×C17 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 187 | C8×C17 | C23×C4 | 1 | 1 | yes | characteristic |
| 188 | #3622 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 189 | #3622 | C22×D4 | 1 | 1 | yes | characteristic |
| 190 | #3584 | — | 17 | 1 | no | — |
| 191 | #3407 | — | 17 | 1 | no | — |
| 192 | #2912 | — | 17 | 1 | no | — |
| 193 | #2145 | — | 17 | 3 | no | — |
| 194 | #2145 | — | 17 | 3 | no | — |
| 195 | C2×#360 | — | 17 | 3 | no | — |
| 196 | C2×#360 | — | 17 | 3 | no | — |
| 197 | C22×C17 | — | 4 | 1 | no | — |
| 198 | C22×C17 | C2×#102 | 1 | 3 | yes | — |
| 199 | C2×D17 | — | 4 | 3 | no | — |
| 200 | C2×D17 | — | 4 | 3 | no | — |
| 201 | C2×D17 | — | 16 | 3 | no | — |
| 202 | C2×D17 | — | 16 | 3 | no | — |
| 203 | C2×D17 | C2×#102 | 1 | 3 | yes | — |
| 204 | C2×D17 | C22×D8 | 1 | 1 | yes | characteristic |
| 205 | #595 | — | 8 | 1 | no | — |
| 206 | #595 | — | 8 | 3 | no | — |
| 207 | C4×C17 | — | 4 | 3 | no | — |
| 208 | C4×C17 | C2×#102 | 1 | 3 | yes | — |
| 209 | C4×C17 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 210 | Dic17 | — | 4 | 1 | no | — |
| 211 | Dic17 | C2×#102 | 1 | 3 | yes | — |
| 212 | Dic17 | C22×SD16 | 1 | 1 | yes | characteristic |
| 213 | #585 | — | 34 | 1 | no | — |
| 214 | #578 | — | 17 | 3 | no | — |
| 215 | #578 | #595 | 1 | 1 | yes | characteristic, complemented |
| 216 | #577 | — | 34 | 3 | no | — |
| 217 | #577 | — | 34 | 1 | no | — |
| 218 | #576 | — | 17 | 3 | no | — |
| 219 | #576 | — | 17 | 1 | no | — |
| 220 | #575 | — | 34 | 3 | no | — |
| 221 | C2×#135 | — | 17 | 3 | no | — |
| 222 | C2×#135 | — | 17 | 3 | no | — |
| 223 | C2×#131 | — | 17 | 1 | no | — |
| 224 | #520 | — | 34 | 1 | no | — |
| 225 | #504 | — | 34 | 1 | no | — |
| 226 | #504 | — | 34 | 3 | no | — |
| 227 | C2×M32 | — | 17 | 3 | no | — |
| 228 | C2×M32 | — | 17 | 3 | no | — |
| 229 | #428 | — | 34 | 3 | no | — |
| 230 | #427 | — | 17 | 3 | no | — |
| 231 | C2×#106 | — | 17 | 3 | no | — |
| 232 | #360 | — | 17 | 3 | no | — |
| 233 | #360 | — | 17 | 1 | no | — |
| 234 | #360 | — | 17 | 6 | no | — |
| 235 | #360 | — | 17 | 3 | no | — |
| 236 | #360 | — | 17 | 3 | no | — |
| 237 | C2×C17 | — | 2 | 3 | no | — |
| 238 | C2×C17 | — | 8 | 1 | no | — |
| 239 | C2×C17 | C22×#102 | 1 | 1 | yes | characteristic |
| 240 | D17 | — | 2 | 1 | no | — |
| 241 | D17 | — | 2 | 3 | no | — |
| 242 | D17 | — | 8 | 3 | no | — |
| 243 | 2−1+4 | — | 2 | 1 | no | — |
| 244 | 2−1+4 | — | 34 | 3 | no | — |
| 245 | 2−1+4 | — | 68 | 1 | no | — |
| 246 | H(5,𝔽2) | — | 34 | 3 | no | — |
| 247 | H(5,𝔽2) | — | 34 | 1 | no | — |
| 248 | H(5,𝔽2) | — | 68 | 3 | no | — |
| 249 | C2×#41 | — | 17 | 1 | no | — |
| 250 | C2×#41 | — | 34 | 3 | no | — |
| 251 | C2×#41 | — | 34 | 3 | no | — |
| 252 | C2×#41 | — | 68 | 1 | no | — |
| 253 | C2×#41 | — | 68 | 3 | no | — |
| 254 | #137 | — | 2 | 3 | no | — |
| 255 | #137 | — | 34 | 6 | no | — |
| 256 | #137 | — | 34 | 3 | no | — |
| 257 | AGL(1,ℤ/8) | — | 34 | 6 | no | — |
| 258 | AGL(1,ℤ/8) | — | 34 | 3 | no | — |
| 259 | AGL(1,ℤ/8) | — | 34 | 3 | no | — |
| 260 | #135 | — | 17 | 3 | no | — |
| 261 | #135 | — | 17 | 6 | no | — |
| 262 | #135 | — | 17 | 1 | no | — |
| 263 | #135 | — | 17 | 3 | no | — |
| 264 | #135 | — | 34 | 3 | no | — |
| 265 | #135 | — | 34 | 3 | no | — |
| 266 | #135 | — | 34 | 3 | no | — |
| 267 | #135 | — | 34 | 3 | no | — |
| 268 | #135 | C2×#595 | 1 | 3 | yes | complemented |
| 269 | C2×Q16 | — | 17 | 3 | no | — |
| 270 | C2×Q16 | C2×#595 | 1 | 3 | yes | complemented |
| 271 | C2×SD16 | — | 34 | 3 | no | — |
| 272 | C2×SD16 | — | 34 | 3 | no | — |
| 273 | C2×D8 | — | 17 | 3 | no | — |
| 274 | C2×D8 | — | 17 | 3 | no | — |
| 275 | #131 | — | 17 | 1 | no | — |
| 276 | #131 | — | 17 | 3 | no | — |
| 277 | #131 | — | 17 | 3 | no | — |
| 278 | #131 | C2×#595 | 1 | 1 | yes | characteristic |
| 279 | C2×M16 | — | 17 | 3 | no | — |
| 280 | C22×C8 | — | 17 | 3 | no | — |
| 281 | C4×Q8 | — | 68 | 1 | no | — |
| 282 | C4×D4 | — | 68 | 3 | no | — |
| 283 | #117 | — | 34 | 3 | no | — |
| 284 | C2×C4⋊C4 | — | 34 | 3 | no | — |
| 285 | M32 | — | 17 | 3 | no | — |
| 286 | M32 | — | 17 | 1 | no | — |
| 287 | M32 | — | 34 | 3 | no | — |
| 288 | M32 | — | 34 | 3 | no | — |
| 289 | C2×C16 | — | 34 | 3 | no | — |
| 290 | C2×C16 | — | 34 | 3 | no | — |
| 291 | #107 | — | 34 | 3 | no | — |
| 292 | #106 | — | 17 | 3 | no | — |
| 293 | #106 | — | 17 | 1 | no | — |
| 294 | #106 | — | 34 | 3 | no | — |
| 295 | C17 | #33388 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 296 | #41 | — | 2 | 3 | no | — |
| 297 | #41 | — | 4 | 3 | no | — |
| 298 | #41 | — | 17 | 1 | no | — |
| 299 | #41 | — | 17 | 3 | no | — |
| 300 | #41 | — | 17 | 3 | no | — |
| 301 | #41 | — | 34 | 1 | no | — |
| 302 | #41 | — | 34 | 3 | no | — |
| 303 | #41 | — | 34 | 6 | no | — |
| 304 | #41 | — | 34 | 3 | no | — |
| 305 | #41 | — | 68 | 3 | no | — |
| 306 | #41 | — | 68 | 6 | no | — |
| 307 | #41 | — | 68 | 3 | no | — |
| 308 | #41 | — | 68 | 3 | no | — |
| 309 | #41 | — | 68 | 3 | no | — |
| 310 | #41 | — | 68 | 3 | no | — |
| 311 | #41 | — | 68 | 3 | no | — |
| 312 | #41 | — | 68 | 1 | no | — |
| 313 | #41 | C22⋊#595 | 1 | 1 | yes | characteristic |
| 314 | C2×Q8 | — | 2 | 3 | no | — |
| 315 | C2×Q8 | — | 4 | 1 | no | — |
| 316 | C2×Q8 | — | 17 | 1 | no | — |
| 317 | C2×Q8 | — | 34 | 3 | no | — |
| 318 | C2×Q8 | — | 68 | 3 | no | — |
| 319 | C2×D4 | — | 17 | 3 | no | — |
| 320 | C2×D4 | — | 34 | 3 | no | — |
| 321 | C2×D4 | — | 34 | 3 | no | — |
| 322 | C2×D4 | — | 68 | 3 | no | — |
| 323 | C2×D4 | — | 68 | 3 | no | — |
| 324 | C2×D4 | — | 68 | 6 | no | — |
| 325 | C2×D4 | — | 68 | 3 | no | — |
| 326 | C2×D4 | — | 68 | 3 | no | — |
| 327 | C22×C4 | — | 17 | 3 | no | — |
| 328 | C22×C4 | — | 68 | 3 | no | — |
| 329 | C22×C4 | — | 68 | 3 | no | — |
| 330 | C22×C4 | — | 68 | 3 | no | — |
| 331 | Q16 | — | 2 | 3 | no | — |
| 332 | Q16 | — | 17 | 1 | no | — |
| 333 | Q16 | — | 34 | 3 | no | — |
| 334 | Q16 | C22×#595 | 1 | 3 | yes | — |
| 335 | SD16 | — | 2 | 3 | no | — |
| 336 | SD16 | — | 34 | 1 | no | — |
| 337 | SD16 | — | 34 | 3 | no | — |
| 338 | SD16 | — | 34 | 6 | no | — |
| 339 | SD16 | — | 34 | 3 | no | — |
| 340 | D8 | — | 17 | 3 | no | — |
| 341 | D8 | — | 34 | 3 | no | — |
| 342 | D8 | — | 34 | 3 | no | — |
| 343 | D8 | C22×#595 | 1 | 1 | yes | characteristic |
| 344 | M16 | — | 17 | 3 | no | — |
| 345 | M16 | — | 17 | 6 | no | — |
| 346 | M16 | C22⋊#595 | 1 | 3 | yes | — |
| 347 | C2×C8 | — | 17 | 3 | no | — |
| 348 | C2×C8 | — | 17 | 3 | no | — |
| 349 | C2×C8 | — | 17 | 3 | no | — |
| 350 | C2×C8 | — | 17 | 1 | no | — |
| 351 | C2×C8 | — | 17 | 3 | no | — |
| 352 | C2×C8 | C22×#595 | 1 | 3 | yes | — |
| 353 | C4⋊C4 | — | 34 | 3 | no | — |
| 354 | C4⋊C4 | — | 34 | 1 | no | — |
| 355 | C4⋊C4 | — | 68 | 3 | no | — |
| 356 | C22⋊C4 | — | 68 | 3 | no | — |
| 357 | C42 | — | 68 | 3 | no | — |
| 358 | C16 | — | 34 | 3 | no | — |
| 359 | C16 | — | 34 | 1 | no | — |
| 360 | C23 | — | 17 | 3 | no | — |
| 361 | C23 | — | 68 | 3 | no | — |
| 362 | C23 | — | 68 | 3 | no | — |
| 363 | Q8 | — | 2 | 3 | no | — |
| 364 | Q8 | — | 4 | 3 | no | — |
| 365 | Q8 | — | 17 | 3 | no | — |
| 366 | Q8 | — | 34 | 1 | no | — |
| 367 | Q8 | — | 68 | 3 | no | — |
| 368 | Q8 | #10587547 | 1 | 1 | yes | characteristic |
| 369 | D4 | — | 2 | 1 | no | — |
| 370 | D4 | — | 4 | 3 | no | — |
| 371 | D4 | — | 17 | 6 | no | — |
| 372 | D4 | — | 17 | 3 | no | — |
| 373 | D4 | — | 34 | 3 | no | — |
| 374 | D4 | — | 68 | 3 | no | — |
| 375 | D4 | — | 68 | 6 | no | — |
| 376 | D4 | — | 68 | 3 | no | — |
| 377 | D4 | — | 68 | 1 | no | — |
| 378 | D4 | — | 68 | 3 | no | — |
| 379 | D4 | — | 68 | 3 | no | — |
| 380 | D4 | #10587547 | 1 | 3 | yes | — |
| 381 | C2×C4 | — | 4 | 3 | no | — |
| 382 | C2×C4 | — | 4 | 3 | no | — |
| 383 | C2×C4 | — | 272 | 3 | no | — |
| 384 | C2×C4 | — | 17 | 3 | no | — |
| 385 | C2×C4 | — | 17 | 3 | no | — |
| 386 | C2×C4 | — | 17 | 3 | no | — |
| 387 | C2×C4 | — | 17 | 1 | no | — |
| 388 | C2×C4 | — | 17 | 3 | no | — |
| 389 | C2×C4 | — | 68 | 3 | no | — |
| 390 | C2×C4 | — | 68 | 6 | no | — |
| 391 | C2×C4 | — | 68 | 3 | no | — |
| 392 | C2×C4 | — | 68 | 1 | no | — |
| 393 | C2×C4 | — | 68 | 3 | no | — |
| 394 | C2×C4 | — | 68 | 1 | no | — |
| 395 | C2×C4 | — | 68 | 3 | no | — |
| 396 | C2×C4 | C2×C22⋊#595 | 1 | 3 | yes | — |
| 397 | C8 | — | 17 | 1 | no | — |
| 398 | C8 | — | 17 | 3 | no | — |
| 399 | C8 | C2×C22⋊#595 | 1 | 3 | yes | — |
| 400 | C8 | C23×#595 | 1 | 1 | yes | characteristic |
| 401 | C22 | — | 4 | 1 | no | — |
| 402 | C22 | — | 272 | 3 | no | — |
| 403 | C22 | — | 272 | 3 | no | — |
| 404 | C22 | — | 17 | 1 | no | — |
| 405 | C22 | — | 17 | 3 | no | — |
| 406 | C22 | — | 68 | 3 | no | — |
| 407 | C22 | — | 68 | 3 | no | — |
| 408 | C22 | C2×#10587547 | 1 | 3 | yes | — |
| 409 | C4 | — | 4 | 3 | no | — |
| 410 | C4 | — | 17 | 1 | no | — |
| 411 | C4 | — | 17 | 3 | no | — |
| 412 | C4 | — | 68 | 1 | no | — |
| 413 | C4 | — | 136 | 3 | no | — |
| 414 | C4 | — | 136 | 1 | no | — |
| 415 | C4 | C2×#10587547 | 1 | 3 | yes | — |
| 416 | C4 | C22×C22⋊#595 | 1 | 1 | yes | characteristic |
| 417 | C2 | — | 2 | 3 | no | — |
| 418 | C2 | — | 8 | 1 | no | — |
| 419 | C2 | — | 34 | 1 | no | — |
| 420 | C2 | — | 34 | 3 | no | — |
| 421 | C2 | — | 136 | 3 | no | — |
| 422 | C2 | C22×#10587547 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14545752 | C2 | semidirect |
| 2. #14545438 | C2 | semidirect |
| 3. #14545106 | C2 | semidirect |
| 4. #14545104 | C2 | semidirect |
| 5. C2×#11763726 | C2 | semidirect |
| 6. D17⋊#360 | C2 | semidirect |
| 11. C2×#10587530 | C22 | semidirect |
| 12. #11763865 | C22 | semidirect |
| 14. #11763819 | C22 | semidirect |
| 15. C2×#10587533 | C22 | semidirect |
| 16. #11763726 | C22 | semidirect |
| 17. #11763726 | C22 | semidirect |
| 18. #11763726 | C22 | semidirect |
| 19. #11763725 | C22 | semidirect |
| 20. #11763725 | C22 | semidirect |
| 22. #11763622 | C4 | semidirect |
| 25. #11763614 | C4 | semidirect |
| 26. #11763611 | C4 | semidirect |
| 31. C17×#578 | C4 | semidirect |
| 48. C17×#135 | C2×C4 | semidirect |
| 49. C2×Q16×C17 | C2×C4 | semidirect |
| 58. #10587605 | C2×C4 | semidirect |
| 61. Q16×D17 | C2×C4 | semidirect |
| 66. D8×D17 | C2×C4 | semidirect |
| 70. #10587590 | C2×C4 | semidirect |
| 71. C2×D136 | C2×C4 | semidirect |
| 215. #578 | #595 | semidirect |
| 268. #135 | C2×#595 | semidirect |
| 270. C2×Q16 | C2×#595 | semidirect |
| 295. C17 | #33388 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545752 | 2 |
| #14545438 | 2 |
| #14545106 | 2 |
| #14545104 | 2 |
| C2×#11763726 | 2 |
| D17⋊#360 | 2 |
| #14543554 | 2 |
| #33388 | 17 |