Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
420 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 56 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 | D17⋊#355 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D17⋊#354 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #14543913 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #14543912 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #14539247 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | D17⋊#101 | — | 2 | 1 | no | — |
| 7 | D17⋊#99 | — | 2 | 1 | no | — |
| 8 | #11763718 | C22 | 1 | 2 | yes | — |
| 9 | #11763717 | — | 2 | 1 | no | — |
| 10 | #11763716 | C22 | 1 | 2 | yes | — |
| 11 | #11763715 | — | 2 | 1 | no | — |
| 12 | C2×#10587604 | — | 2 | 1 | no | — |
| 13 | C2×#10587600 | — | 2 | 1 | no | — |
| 14 | #11763360 | C4 | 1 | 1 | yes | characteristic, complemented |
| 15 | #124×D17 | C22 | 1 | 1 | yes | characteristic |
| 16 | #11763201 | C22 | 1 | 1 | yes | characteristic |
| 17 | #11763199 | C4 | 1 | 1 | yes | characteristic, complemented |
| 18 | #11763198 | C22 | 1 | 1 | yes | characteristic |
| 19 | #11763194 | — | 2 | 1 | no | — |
| 20 | #11763190 | — | 2 | 1 | no | — |
| 21 | #11762761 | C4 | 1 | 1 | yes | characteristic, complemented |
| 22 | C17×#497 | C4 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×#63256 | — | 2 | 1 | no | — |
| 24 | C2×Q8×D17 | D4 | 1 | 1 | yes | characteristic |
| 25 | C2×D4×D17 | D4 | 1 | 1 | yes | characteristic |
| 26 | C2×C22⋊#595 | — | 4 | 1 | no | — |
| 27 | D17⋊M16 | — | 4 | 1 | no | — |
| 28 | C2×Q16×C17 | — | 2 | 1 | no | — |
| 29 | C2×SD16×C17 | — | 2 | 1 | no | — |
| 30 | C17×C4⋊Q8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 31 | C17×#124 | C2×C4 | 1 | 1 | yes | characteristic |
| 32 | #10587633 | — | 2 | 1 | no | — |
| 33 | #10587633 | D4 | 1 | 1 | yes | characteristic |
| 34 | C2×#63231 | — | 2 | 1 | no | — |
| 35 | C2×#63230 | — | 2 | 1 | no | — |
| 36 | C2×#63230 | — | 2 | 1 | no | — |
| 37 | #10587622 | D4 | 1 | 1 | yes | characteristic |
| 38 | C2×#63228 | — | 2 | 1 | no | — |
| 39 | #10587604 | — | 4 | 2 | no | — |
| 40 | #10587604 | — | 4 | 2 | no | — |
| 41 | #10587600 | — | 4 | 2 | no | — |
| 42 | #10587600 | — | 4 | 2 | no | — |
| 43 | C2×D136 | — | 2 | 1 | no | — |
| 44 | C2×#63219 | — | 2 | 1 | no | — |
| 45 | C2×#63218 | — | 2 | 1 | no | — |
| 46 | #10587581 | — | 4 | 1 | no | — |
| 47 | #10587579 | — | 4 | 1 | no | — |
| 48 | #10587571 | — | 4 | 1 | no | — |
| 49 | C22⋊C4×D17 | — | 4 | 1 | no | — |
| 50 | #10587561 | C23 | 1 | 1 | yes | characteristic |
| 51 | #10587560 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 52 | C42×D17 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | #10587551 | — | 4 | 1 | no | — |
| 54 | #10587545 | — | 2 | 2 | no | — |
| 55 | #10587545 | — | 4 | 1 | no | — |
| 56 | #10587539 | — | 2 | 2 | no | — |
| 57 | C17×#97 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 58 | C8×Dic17 | — | 2 | 1 | no | — |
| 59 | #10587474 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 60 | C23×D17 | — | 2 | 1 | no | — |
| 61 | C22×#595 | — | 8 | 1 | no | — |
| 62 | C2×Q8×C17 | — | 2 | 1 | no | — |
| 63 | C2×Q8×C17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 64 | C2×D4×C17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 65 | C2×C22⋊D17 | — | 2 | 1 | no | — |
| 66 | #63256 | — | 4 | 1 | no | — |
| 67 | #63256 | — | 4 | 1 | no | — |
| 68 | #63256 | — | 4 | 1 | no | — |
| 69 | #63256 | — | 4 | 1 | no | — |
| 70 | Q8×D17 | — | 4 | 1 | no | — |
| 71 | Q8×D17 | — | 4 | 1 | no | — |
| 72 | D4×D17 | — | 4 | 1 | no | — |
| 73 | D4×D17 | — | 4 | 1 | no | — |
| 74 | C2×D68 | — | 2 | 1 | no | — |
| 75 | C2×D68 | — | 4 | 1 | no | — |
| 76 | C2×D68 | — | 4 | 1 | no | — |
| 77 | C2×D68 | C2×D4 | 1 | 1 | yes | characteristic |
| 78 | C2×C4×D17 | — | 2 | 1 | no | — |
| 79 | C2×C4×D17 | — | 2 | 1 | no | — |
| 80 | C2×C4×D17 | — | 4 | 1 | no | — |
| 81 | C2×C4×D17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 82 | C2×Dic34 | — | 2 | 1 | no | — |
| 83 | C2×Dic34 | C2×D4 | 1 | 1 | yes | characteristic |
| 84 | C22⋊#595 | — | 4 | 2 | no | — |
| 85 | C22⋊#595 | — | 8 | 1 | no | — |
| 86 | #63247 | — | 4 | 2 | no | — |
| 87 | #63243 | — | 8 | 1 | no | — |
| 88 | #63242 | — | 8 | 1 | no | — |
| 89 | Q16×C17 | — | 4 | 2 | no | — |
| 90 | SD16×C17 | — | 4 | 2 | no | — |
| 91 | C2×C8×C17 | — | 2 | 1 | no | — |
| 92 | C4⋊C4×C17 | — | 4 | 1 | no | — |
| 93 | C22⋊C4×C17 | — | 4 | 1 | no | — |
| 94 | C42×C17 | C22×C4 | 1 | 1 | yes | characteristic |
| 95 | C22⋊Dic17 | — | 4 | 1 | no | — |
| 96 | #63231 | — | 4 | 2 | no | — |
| 97 | #63230 | — | 4 | 2 | no | — |
| 98 | #63230 | — | 4 | 2 | no | — |
| 99 | #63228 | — | 4 | 2 | no | — |
| 100 | #63227 | — | 4 | 1 | no | — |
| 101 | #63227 | — | 4 | 1 | no | — |
| 102 | #63227 | — | 4 | 2 | no | — |
| 103 | C4×Dic17 | — | 2 | 1 | no | — |
| 104 | C4×Dic17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 105 | C2×#3622 | — | 2 | 1 | no | — |
| 106 | D136 | — | 4 | 2 | no | — |
| 107 | #63219 | — | 4 | 2 | no | — |
| 108 | #63218 | — | 2 | 2 | no | — |
| 109 | #63218 | — | 2 | 2 | no | — |
| 110 | #13578 | — | 17 | 1 | no | maximal, Sylow |
| 111 | C23×C17 | — | 2 | 1 | no | — |
| 112 | C22×D17 | — | 2 | 1 | no | — |
| 113 | C22×D17 | — | 4 | 1 | no | — |
| 114 | C22×D17 | — | 4 | 1 | no | — |
| 115 | C22×D17 | — | 4 | 1 | no | — |
| 116 | C22×D17 | — | 8 | 2 | no | — |
| 117 | C22×D17 | #99 | 1 | 1 | yes | characteristic |
| 118 | C2×#595 | — | 8 | 2 | no | — |
| 119 | C2×#595 | — | 16 | 2 | no | — |
| 120 | Q8×C17 | — | 4 | 1 | no | — |
| 121 | Q8×C17 | — | 4 | 1 | no | — |
| 122 | Q8×C17 | — | 4 | 1 | no | — |
| 123 | D4×C17 | — | 4 | 1 | no | — |
| 124 | C2×C4×C17 | — | 2 | 1 | no | — |
| 125 | C2×C4×C17 | — | 2 | 1 | no | — |
| 126 | C2×C4×C17 | — | 4 | 1 | no | — |
| 127 | C2×C4×C17 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 128 | C22⋊D17 | — | 8 | 1 | no | — |
| 129 | C2×Dic17 | — | 2 | 1 | no | — |
| 130 | C2×Dic17 | — | 2 | 1 | no | — |
| 131 | C2×Dic17 | #99 | 1 | 1 | yes | characteristic |
| 132 | D68 | — | 4 | 1 | no | — |
| 133 | D68 | — | 4 | 1 | no | — |
| 134 | D68 | — | 4 | 1 | no | — |
| 135 | D68 | — | 8 | 2 | no | — |
| 136 | D68 | — | 8 | 1 | no | — |
| 137 | D68 | — | 8 | 1 | no | — |
| 138 | C4×D17 | — | 2 | 1 | no | — |
| 139 | C4×D17 | — | 2 | 1 | no | — |
| 140 | C4×D17 | — | 4 | 1 | no | — |
| 141 | C4×D17 | — | 4 | 1 | no | — |
| 142 | C4×D17 | — | 8 | 1 | no | — |
| 143 | C4×D17 | — | 8 | 1 | no | — |
| 144 | C4×D17 | — | 8 | 1 | no | — |
| 145 | Dic34 | — | 4 | 1 | no | — |
| 146 | Dic34 | — | 8 | 1 | no | — |
| 147 | #3624 | — | 8 | 2 | no | — |
| 148 | C8×C17 | — | 2 | 2 | no | — |
| 149 | #3622 | — | 2 | 2 | no | — |
| 150 | #3153 | — | 17 | 1 | no | — |
| 151 | C2×#355 | — | 17 | 1 | no | — |
| 152 | C2×#354 | — | 17 | 1 | no | — |
| 153 | #1407 | — | 17 | 2 | no | — |
| 154 | #1406 | — | 17 | 2 | no | — |
| 155 | C22×C17 | — | 4 | 1 | no | — |
| 156 | C22×C17 | — | 8 | 1 | no | — |
| 157 | C22×C17 | C2×#99 | 1 | 1 | yes | characteristic |
| 158 | C2×D17 | — | 4 | 1 | no | — |
| 159 | C2×D17 | — | 4 | 1 | no | — |
| 160 | C2×D17 | — | 8 | 2 | no | — |
| 161 | C2×D17 | — | 8 | 1 | no | — |
| 162 | C2×D17 | — | 8 | 2 | no | — |
| 163 | C2×D17 | — | 8 | 1 | no | — |
| 164 | C2×D17 | — | 16 | 1 | no | — |
| 165 | C2×D17 | #353 | 1 | 1 | yes | characteristic |
| 166 | C2×D17 | #353 | 1 | 1 | yes | characteristic |
| 167 | #595 | — | 16 | 2 | no | — |
| 168 | C4×C17 | — | 2 | 1 | no | — |
| 169 | C4×C17 | — | 4 | 1 | no | — |
| 170 | C4×C17 | — | 4 | 1 | no | — |
| 171 | C4×C17 | — | 8 | 1 | no | — |
| 172 | Dic17 | — | 2 | 1 | no | — |
| 173 | Dic17 | — | 4 | 1 | no | — |
| 174 | Dic17 | — | 4 | 1 | no | — |
| 175 | C2×#137 | — | 34 | 1 | no | — |
| 176 | C2×AGL(1,ℤ/8) | — | 34 | 1 | no | — |
| 177 | #532 | — | 17 | 1 | no | — |
| 178 | C2×#124 | — | 17 | 1 | no | — |
| 179 | #497 | — | 17 | 1 | no | — |
| 180 | #497 | #595 | 1 | 1 | yes | characteristic, complemented |
| 181 | #496 | — | 17 | 1 | no | — |
| 182 | #496 | — | 17 | 1 | no | — |
| 183 | #495 | — | 34 | 1 | no | — |
| 184 | #495 | — | 34 | 1 | no | — |
| 185 | C2×#101 | — | 34 | 1 | no | — |
| 186 | C2×#99 | — | 34 | 1 | no | — |
| 187 | C4×M16 | — | 17 | 1 | no | — |
| 188 | #355 | — | 17 | 2 | no | — |
| 189 | #355 | — | 34 | 1 | no | — |
| 190 | #354 | — | 17 | 2 | no | — |
| 191 | #354 | — | 34 | 1 | no | — |
| 192 | C2×C17 | — | 2 | 1 | no | — |
| 193 | C2×C17 | — | 8 | 1 | no | — |
| 194 | C2×C17 | C2×#353 | 1 | 1 | yes | characteristic |
| 195 | D17 | — | 2 | 1 | no | — |
| 196 | D17 | — | 2 | 1 | no | — |
| 197 | D17 | — | 8 | 1 | no | — |
| 198 | D17 | — | 16 | 1 | no | — |
| 199 | C2×#41 | — | 34 | 1 | no | — |
| 200 | C22×Q8 | — | 17 | 1 | no | — |
| 201 | C22×D4 | — | 17 | 1 | no | — |
| 202 | #137 | — | 68 | 2 | no | — |
| 203 | #137 | — | 68 | 2 | no | — |
| 204 | AGL(1,ℤ/8) | — | 68 | 2 | no | — |
| 205 | AGL(1,ℤ/8) | — | 68 | 2 | no | — |
| 206 | C2×Q16 | — | 2 | 1 | no | — |
| 207 | C2×Q16 | — | 34 | 1 | no | — |
| 208 | C2×SD16 | — | 2 | 1 | no | — |
| 209 | C2×SD16 | — | 34 | 1 | no | — |
| 210 | C2×SD16 | — | 34 | 1 | no | — |
| 211 | C2×SD16 | — | 34 | 1 | no | — |
| 212 | C2×D8 | — | 34 | 1 | no | — |
| 213 | C2×D8 | — | 34 | 1 | no | — |
| 214 | C2×M16 | — | 34 | 1 | no | — |
| 215 | C2×M16 | — | 68 | 1 | no | — |
| 216 | C4⋊Q8 | C2×#595 | 1 | 1 | yes | characteristic, complemented |
| 217 | #127 | — | 17 | 1 | no | — |
| 218 | #124 | — | 17 | 1 | no | — |
| 219 | #124 | — | 17 | 1 | no | — |
| 220 | #124 | — | 17 | 1 | no | — |
| 221 | #124 | — | 34 | 1 | no | — |
| 222 | #124 | — | 68 | 1 | no | — |
| 223 | #124 | C2×#595 | 1 | 1 | yes | characteristic |
| 224 | #121 | — | 68 | 1 | no | — |
| 225 | C4×D4 | — | 68 | 1 | no | — |
| 226 | C2×C22⋊C4 | — | 68 | 1 | no | — |
| 227 | C2×C22⋊C4 | — | 68 | 1 | no | — |
| 228 | C2×C42 | — | 17 | 1 | no | — |
| 229 | #101 | — | 34 | 2 | no | — |
| 230 | #101 | — | 68 | 1 | no | — |
| 231 | #99 | — | 34 | 2 | no | — |
| 232 | #99 | — | 68 | 1 | no | — |
| 233 | #97 | — | 17 | 1 | no | — |
| 234 | #97 | C2×#595 | 1 | 1 | yes | characteristic, complemented |
| 235 | C4×C8 | — | 34 | 1 | no | — |
| 236 | C17 | #13578 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 237 | C24 | — | 34 | 1 | no | — |
| 238 | #41 | — | 68 | 1 | no | — |
| 239 | #41 | — | 68 | 1 | no | — |
| 240 | #41 | — | 68 | 1 | no | — |
| 241 | #41 | — | 68 | 1 | no | — |
| 242 | C2×Q8 | — | 2 | 1 | no | — |
| 243 | C2×Q8 | — | 17 | 1 | no | — |
| 244 | C2×Q8 | — | 34 | 1 | no | — |
| 245 | C2×Q8 | — | 68 | 1 | no | — |
| 246 | C2×Q8 | — | 68 | 1 | no | — |
| 247 | C2×Q8 | C22⋊#595 | 1 | 1 | yes | characteristic |
| 248 | C2×D4 | — | 17 | 1 | no | — |
| 249 | C2×D4 | — | 34 | 1 | no | — |
| 250 | C2×D4 | — | 34 | 1 | no | — |
| 251 | C2×D4 | — | 68 | 1 | no | — |
| 252 | C2×D4 | — | 68 | 1 | no | — |
| 253 | C2×D4 | — | 68 | 1 | no | — |
| 254 | C2×D4 | — | 68 | 1 | no | — |
| 255 | C2×D4 | C22⋊#595 | 1 | 1 | yes | characteristic |
| 256 | C22×C4 | — | 17 | 1 | no | — |
| 257 | C22×C4 | — | 34 | 1 | no | — |
| 258 | C22×C4 | — | 34 | 1 | no | — |
| 259 | C22×C4 | — | 68 | 1 | no | — |
| 260 | C22×C4 | — | 136 | 1 | no | — |
| 261 | Q16 | — | 4 | 2 | no | — |
| 262 | Q16 | — | 68 | 2 | no | — |
| 263 | SD16 | — | 4 | 2 | no | — |
| 264 | SD16 | — | 68 | 2 | no | — |
| 265 | SD16 | — | 68 | 2 | no | — |
| 266 | SD16 | — | 68 | 2 | no | — |
| 267 | D8 | — | 68 | 2 | no | — |
| 268 | D8 | — | 68 | 2 | no | — |
| 269 | M16 | — | 34 | 2 | no | — |
| 270 | M16 | — | 34 | 2 | no | — |
| 271 | M16 | — | 68 | 2 | no | — |
| 272 | M16 | — | 136 | 1 | no | — |
| 273 | C2×C8 | — | 2 | 1 | no | — |
| 274 | C2×C8 | — | 34 | 1 | no | — |
| 275 | C2×C8 | — | 136 | 1 | no | — |
| 276 | C4⋊C4 | — | 4 | 1 | no | — |
| 277 | C22⋊C4 | — | 4 | 1 | no | — |
| 278 | C22⋊C4 | — | 68 | 1 | no | — |
| 279 | C22⋊C4 | — | 68 | 1 | no | — |
| 280 | C22⋊C4 | — | 68 | 2 | no | — |
| 281 | C22⋊C4 | — | 68 | 1 | no | — |
| 282 | C22⋊C4 | — | 68 | 2 | no | — |
| 283 | C22⋊C4 | — | 136 | 1 | no | — |
| 284 | C42 | — | 17 | 1 | no | — |
| 285 | C42 | — | 34 | 1 | no | — |
| 286 | C42 | C22×#595 | 1 | 1 | yes | characteristic |
| 287 | C23 | — | 2 | 1 | no | — |
| 288 | C23 | — | 17 | 1 | no | — |
| 289 | C23 | — | 34 | 1 | no | — |
| 290 | C23 | — | 68 | 1 | no | — |
| 291 | C23 | — | 68 | 1 | no | — |
| 292 | C23 | — | 68 | 1 | no | — |
| 293 | C23 | — | 136 | 2 | no | — |
| 294 | Q8 | — | 4 | 1 | no | — |
| 295 | Q8 | — | 4 | 1 | no | — |
| 296 | Q8 | — | 4 | 1 | no | — |
| 297 | Q8 | — | 68 | 1 | no | — |
| 298 | Q8 | — | 136 | 1 | no | — |
| 299 | D4 | — | 4 | 1 | no | — |
| 300 | D4 | — | 68 | 1 | no | — |
| 301 | D4 | — | 68 | 1 | no | — |
| 302 | D4 | — | 68 | 1 | no | — |
| 303 | D4 | — | 136 | 2 | no | — |
| 304 | D4 | — | 136 | 1 | no | — |
| 305 | D4 | — | 136 | 1 | no | — |
| 306 | D4 | — | 136 | 1 | no | — |
| 307 | C2×C4 | — | 2 | 1 | no | — |
| 308 | C2×C4 | — | 2 | 1 | no | — |
| 309 | C2×C4 | — | 4 | 1 | no | — |
| 310 | C2×C4 | — | 272 | 2 | no | — |
| 311 | C2×C4 | — | 17 | 1 | no | — |
| 312 | C2×C4 | — | 34 | 1 | no | — |
| 313 | C2×C4 | — | 34 | 1 | no | — |
| 314 | C2×C4 | — | 34 | 1 | no | — |
| 315 | C2×C4 | — | 34 | 1 | no | — |
| 316 | C2×C4 | — | 68 | 1 | no | — |
| 317 | C2×C4 | — | 68 | 1 | no | — |
| 318 | C2×C4 | — | 136 | 1 | no | — |
| 319 | C2×C4 | — | 136 | 1 | no | — |
| 320 | C2×C4 | — | 136 | 1 | no | — |
| 321 | C2×C4 | — | 136 | 2 | no | — |
| 322 | C2×C4 | C2×C22⋊#595 | 1 | 1 | yes | characteristic |
| 323 | C8 | — | 2 | 2 | no | — |
| 324 | C8 | — | 34 | 2 | no | — |
| 325 | C8 | — | 136 | 2 | no | — |
| 326 | C22 | — | 4 | 1 | no | — |
| 327 | C22 | — | 8 | 1 | no | — |
| 328 | C22 | — | 272 | 1 | no | — |
| 329 | C22 | — | 17 | 1 | no | — |
| 330 | C22 | — | 17 | 1 | no | — |
| 331 | C22 | — | 68 | 1 | no | — |
| 332 | C22 | — | 68 | 1 | no | — |
| 333 | C22 | — | 136 | 2 | no | — |
| 334 | C22 | — | 136 | 1 | no | — |
| 335 | C22 | — | 136 | 2 | no | — |
| 336 | C22 | — | 136 | 1 | no | — |
| 337 | C22 | D17⋊#99 | 1 | 1 | yes | characteristic |
| 338 | C4 | — | 2 | 1 | no | — |
| 339 | C4 | — | 4 | 1 | no | — |
| 340 | C4 | — | 4 | 1 | no | — |
| 341 | C4 | — | 8 | 1 | no | — |
| 342 | C4 | — | 272 | 2 | no | — |
| 343 | C4 | — | 34 | 1 | no | — |
| 344 | C4 | — | 68 | 1 | no | — |
| 345 | C4 | — | 68 | 1 | no | — |
| 346 | C2 | — | 2 | 1 | no | — |
| 347 | C2 | — | 8 | 1 | no | — |
| 348 | C2 | — | 272 | 1 | no | — |
| 349 | C2 | — | 34 | 1 | no | — |
| 350 | C2 | — | 34 | 1 | no | — |
| 351 | C2 | — | 136 | 1 | no | — |
| 352 | C2 | D17⋊#353 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D17⋊#355 | C2 | semidirect |
| 2. D17⋊#354 | C2 | semidirect |
| 3. #14543913 | C2 | semidirect |
| 4. #14543912 | C2 | semidirect |
| 14. #11763360 | C4 | semidirect |
| 17. #11763199 | C4 | semidirect |
| 21. #11762761 | C4 | semidirect |
| 22. C17×#497 | C4 | semidirect |
| 30. C17×C4⋊Q8 | C2×C4 | semidirect |
| 51. #10587560 | C2×C4 | semidirect |
| 57. C17×#97 | C2×C4 | semidirect |
| 59. #10587474 | C2×C4 | semidirect |
| 180. #497 | #595 | semidirect |
| 216. C4⋊Q8 | C2×#595 | semidirect |
| 234. #97 | C2×#595 | semidirect |
| 236. C17 | #13578 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#355 | 2 |
| D17⋊#354 | 2 |
| #14543913 | 2 |
| #14543912 | 2 |
| #14539247 | 2 |
| #13578 | 17 |