Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
484 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 58 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⋊#356 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D17⋊#333 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #14543910 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #14543909 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | D17×#456 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #11763810 | — | 2 | 1 | no | — |
| 7 | D17⋊#101 | — | 2 | 1 | no | — |
| 8 | #11763720 | — | 2 | 1 | no | — |
| 9 | #11763719 | C22 | 1 | 2 | yes | complemented |
| 10 | #11763669 | — | 2 | 1 | no | — |
| 11 | #11763669 | C22 | 1 | 2 | yes | complemented |
| 12 | 2−1+4×D17 | C4 | 1 | 1 | yes | characteristic |
| 13 | #137×D17 | — | 2 | 1 | no | — |
| 14 | C4⋊Q8×D17 | C22 | 1 | 1 | yes | characteristic |
| 15 | #11762994 | C22 | 1 | 1 | yes | characteristic |
| 16 | #11762993 | — | 2 | 1 | no | — |
| 17 | #11762992 | C22 | 1 | 1 | yes | characteristic |
| 18 | #11762991 | C4 | 1 | 1 | yes | characteristic |
| 19 | #11762990 | — | 2 | 1 | no | — |
| 20 | #104×D17 | — | 2 | 1 | no | — |
| 21 | #101×D17 | C4 | 1 | 1 | yes | characteristic |
| 22 | C17×#456 | C4 | 1 | 1 | yes | characteristic |
| 23 | C17×2−1+4 | C2×C4 | 1 | 1 | yes | characteristic |
| 24 | #10587697 | — | 2 | 1 | no | — |
| 25 | #10587697 | — | 4 | 1 | no | — |
| 26 | #10587697 | — | 4 | 1 | no | — |
| 27 | #41×D17 | — | 2 | 1 | no | — |
| 28 | #41×D17 | — | 4 | 1 | no | — |
| 29 | #41×D17 | — | 4 | 1 | no | — |
| 30 | #10587694 | — | 4 | 1 | no | — |
| 31 | #10587694 | C2×C4 | 1 | 1 | yes | characteristic |
| 32 | C2×Q8×D17 | — | 4 | 1 | no | — |
| 33 | C2×Q8×D17 | C2×C4 | 1 | 1 | yes | characteristic |
| 34 | C2×Q8×D17 | D4 | 1 | 1 | yes | characteristic |
| 35 | D17⋊M16 | — | 4 | 1 | no | — |
| 36 | C2×#63242 | — | 4 | 1 | no | — |
| 37 | C17×#137 | — | 2 | 1 | no | — |
| 38 | C17×C4⋊Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 39 | #10587637 | — | 2 | 1 | no | — |
| 40 | #10587630 | D4 | 1 | 1 | yes | characteristic |
| 41 | #10587630 | C23 | 1 | 1 | yes | characteristic |
| 42 | #10587628 | — | 2 | 1 | no | — |
| 43 | #10587604 | — | 4 | 1 | no | — |
| 44 | Q16×D17 | — | 4 | 1 | no | — |
| 45 | #10587601 | — | 4 | 1 | no | — |
| 46 | SD16×D17 | — | 4 | 1 | no | — |
| 47 | #10587595 | — | 2 | 1 | no | — |
| 48 | M16×D17 | — | 2 | 1 | no | — |
| 49 | C4⋊C4×D17 | — | 4 | 1 | no | — |
| 50 | #10587574 | — | 4 | 1 | no | — |
| 51 | C42×D17 | D4 | 1 | 1 | yes | characteristic |
| 52 | #10587555 | D4 | 1 | 1 | yes | characteristic |
| 53 | #10587545 | — | 2 | 2 | no | — |
| 54 | #10587545 | — | 4 | 1 | no | — |
| 55 | #10587544 | — | 2 | 2 | no | — |
| 56 | C4⋊#3624 | — | 4 | 1 | no | — |
| 57 | C17×#104 | — | 2 | 1 | no | — |
| 58 | C17×#101 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | #10587508 | — | 2 | 1 | no | — |
| 60 | #10587507 | C2×C4 | 1 | 1 | yes | characteristic |
| 61 | #10587496 | — | 2 | 1 | no | — |
| 62 | #10587495 | — | 2 | 1 | no | — |
| 63 | #10587476 | — | 2 | 1 | no | — |
| 64 | #41×C17 | — | 2 | 1 | no | — |
| 65 | #41×C17 | — | 4 | 1 | no | — |
| 66 | #41×C17 | — | 4 | 1 | no | — |
| 67 | C2×Q8×C17 | — | 4 | 1 | no | — |
| 68 | C2×Q8×C17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 69 | C2×Q8×C17 | C22×C4 | 1 | 1 | yes | characteristic |
| 70 | #63256 | — | 2 | 1 | no | — |
| 71 | #63256 | — | 4 | 1 | no | — |
| 72 | #63256 | — | 4 | 1 | no | — |
| 73 | Q8×D17 | — | 2 | 1 | no | — |
| 74 | Q8×D17 | — | 4 | 1 | no | — |
| 75 | Q8×D17 | — | 4 | 1 | no | — |
| 76 | Q8×D17 | — | 4 | 1 | no | — |
| 77 | Q8×D17 | — | 4 | 1 | no | — |
| 78 | Q8×D17 | — | 4 | 2 | no | — |
| 79 | Q8×D17 | — | 4 | 1 | no | — |
| 80 | Q8×D17 | — | 4 | 1 | no | — |
| 81 | Q8×D17 | — | 4 | 1 | no | — |
| 82 | #63254 | — | 2 | 1 | no | — |
| 83 | #63254 | — | 4 | 2 | no | — |
| 84 | #63254 | — | 4 | 1 | no | — |
| 85 | #63254 | — | 4 | 2 | no | — |
| 86 | #63254 | — | 4 | 1 | no | — |
| 87 | #63254 | — | 4 | 1 | no | — |
| 88 | D4×D17 | — | 2 | 1 | no | — |
| 89 | D4×D17 | — | 4 | 1 | no | — |
| 90 | D4×D17 | — | 4 | 1 | no | — |
| 91 | #63252 | — | 2 | 1 | no | — |
| 92 | #63252 | — | 4 | 1 | no | — |
| 93 | #63252 | — | 4 | 1 | no | — |
| 94 | #63252 | — | 4 | 2 | no | — |
| 95 | #63252 | — | 4 | 2 | no | — |
| 96 | #63252 | — | 4 | 1 | no | — |
| 97 | C2×C4×D17 | — | 2 | 1 | no | — |
| 98 | C2×C4×D17 | — | 2 | 1 | no | — |
| 99 | C2×C4×D17 | — | 2 | 1 | no | — |
| 100 | C2×C4×D17 | — | 4 | 1 | no | — |
| 101 | C2×C4×D17 | — | 4 | 2 | no | — |
| 102 | C2×C4×D17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 103 | C2×Dic34 | — | 2 | 1 | no | — |
| 104 | C2×Dic34 | — | 2 | 1 | no | — |
| 105 | C2×Dic34 | — | 4 | 1 | no | — |
| 106 | C2×Dic34 | — | 4 | 2 | no | — |
| 107 | C2×Dic34 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 108 | C2×Dic34 | C2×D4 | 1 | 1 | yes | characteristic |
| 109 | #63247 | — | 4 | 2 | no | — |
| 110 | C2×#3624 | — | 4 | 2 | no | — |
| 111 | #63243 | — | 8 | 1 | no | — |
| 112 | #63242 | — | 8 | 2 | no | — |
| 113 | #63242 | — | 8 | 1 | no | — |
| 114 | Q16×C17 | — | 4 | 1 | no | — |
| 115 | SD16×C17 | — | 4 | 1 | no | — |
| 116 | M16×C17 | — | 2 | 1 | no | — |
| 117 | C4⋊C4×C17 | — | 4 | 1 | no | — |
| 118 | C42×C17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 119 | #63231 | — | 4 | 1 | no | — |
| 120 | #63231 | — | 4 | 1 | no | — |
| 121 | #63230 | — | 4 | 1 | no | — |
| 122 | #63229 | — | 4 | 1 | no | — |
| 123 | C4⋊Dic17 | — | 4 | 1 | no | — |
| 124 | #63225 | — | 4 | 1 | no | — |
| 125 | #63225 | — | 4 | 1 | no | — |
| 126 | C4×Dic17 | — | 2 | 1 | no | — |
| 127 | C4×Dic17 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | #63223 | — | 2 | 1 | no | — |
| 129 | Dic68 | — | 4 | 1 | no | — |
| 130 | #63219 | — | 4 | 1 | no | — |
| 131 | #63218 | — | 4 | 1 | no | — |
| 132 | C8×D17 | — | 4 | 1 | no | — |
| 133 | C2×#1405 | — | 17 | 1 | no | maximal, Sylow |
| 134 | C22×D17 | — | 4 | 1 | no | — |
| 135 | C22×D17 | #99 | 1 | 1 | yes | characteristic |
| 136 | Q8×C17 | — | 2 | 1 | no | — |
| 137 | Q8×C17 | — | 4 | 1 | no | — |
| 138 | Q8×C17 | — | 4 | 1 | no | — |
| 139 | Q8×C17 | — | 4 | 1 | no | — |
| 140 | D4×C17 | — | 2 | 1 | no | — |
| 141 | D4×C17 | — | 4 | 1 | no | — |
| 142 | D4×C17 | — | 4 | 1 | no | — |
| 143 | C2×C4×C17 | — | 2 | 1 | no | — |
| 144 | C2×C4×C17 | — | 2 | 1 | no | — |
| 145 | C2×C4×C17 | — | 2 | 1 | no | — |
| 146 | C2×C4×C17 | — | 4 | 1 | no | — |
| 147 | C2×C4×C17 | — | 4 | 2 | no | — |
| 148 | C2×C4×C17 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 149 | C22⋊D17 | — | 4 | 1 | no | — |
| 150 | C22⋊D17 | — | 4 | 2 | no | — |
| 151 | C22⋊D17 | — | 4 | 1 | no | — |
| 152 | C22⋊D17 | — | 4 | 1 | no | — |
| 153 | C2×Dic17 | — | 2 | 1 | no | — |
| 154 | C2×Dic17 | — | 2 | 1 | no | — |
| 155 | C2×Dic17 | — | 2 | 1 | no | — |
| 156 | C2×Dic17 | — | 4 | 1 | no | — |
| 157 | C2×Dic17 | — | 4 | 2 | no | — |
| 158 | C2×Dic17 | #99 | 1 | 1 | yes | characteristic |
| 159 | D68 | — | 2 | 1 | no | — |
| 160 | D68 | — | 4 | 1 | no | — |
| 161 | D68 | — | 4 | 1 | no | — |
| 162 | C4×D17 | — | 2 | 2 | no | — |
| 163 | C4×D17 | — | 2 | 2 | no | — |
| 164 | C4×D17 | — | 2 | 1 | no | — |
| 165 | C4×D17 | — | 2 | 1 | no | — |
| 166 | C4×D17 | — | 4 | 1 | no | — |
| 167 | C4×D17 | — | 4 | 1 | no | — |
| 168 | C4×D17 | — | 4 | 2 | no | — |
| 169 | C4×D17 | — | 4 | 2 | no | — |
| 170 | C4×D17 | — | 4 | 1 | no | — |
| 171 | C4×D17 | — | 4 | 1 | no | — |
| 172 | C4×D17 | — | 4 | 1 | no | — |
| 173 | C4×D17 | — | 4 | 1 | no | — |
| 174 | C4×D17 | — | 4 | 1 | no | — |
| 175 | Dic34 | — | 2 | 1 | no | — |
| 176 | Dic34 | — | 4 | 2 | no | — |
| 177 | Dic34 | — | 4 | 1 | no | — |
| 178 | Dic34 | — | 4 | 2 | no | — |
| 179 | Dic34 | — | 4 | 1 | no | — |
| 180 | Dic34 | — | 4 | 1 | no | — |
| 181 | Dic34 | — | 4 | 1 | no | — |
| 182 | Dic34 | — | 8 | 1 | no | — |
| 183 | #3624 | — | 8 | 2 | no | — |
| 184 | #3624 | — | 8 | 2 | no | — |
| 185 | C8×C17 | — | 4 | 1 | no | — |
| 186 | #3622 | — | 4 | 1 | no | — |
| 187 | C2×#456 | — | 17 | 1 | no | — |
| 188 | C2×#356 | — | 17 | 1 | no | — |
| 189 | C2×#333 | — | 17 | 1 | no | — |
| 190 | #1405 | — | 17 | 2 | no | — |
| 191 | #1405 | — | 17 | 2 | no | — |
| 192 | C22×C17 | — | 4 | 1 | no | — |
| 193 | C22×C17 | C2×#99 | 1 | 1 | yes | characteristic |
| 194 | C2×D17 | — | 2 | 2 | no | — |
| 195 | C2×D17 | — | 4 | 1 | no | — |
| 196 | C2×D17 | — | 8 | 2 | no | — |
| 197 | C2×D17 | AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 198 | C2×D17 | AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 199 | C4×C17 | — | 2 | 2 | no | — |
| 200 | C4×C17 | — | 2 | 1 | no | — |
| 201 | C4×C17 | — | 4 | 1 | no | — |
| 202 | C4×C17 | — | 4 | 1 | no | — |
| 203 | C4×C17 | — | 4 | 1 | no | — |
| 204 | Dic17 | — | 2 | 1 | no | — |
| 205 | Dic17 | — | 2 | 1 | no | — |
| 206 | Dic17 | — | 2 | 1 | no | — |
| 207 | Dic17 | — | 4 | 1 | no | — |
| 208 | Dic17 | — | 4 | 1 | no | — |
| 209 | Dic17 | — | 4 | 1 | no | — |
| 210 | C2×2−1+4 | — | 17 | 1 | no | — |
| 211 | C2×#137 | — | 34 | 1 | no | — |
| 212 | C2×C4⋊Q8 | — | 17 | 1 | no | — |
| 213 | #456 | — | 17 | 1 | no | — |
| 214 | #456 | — | 17 | 1 | no | — |
| 215 | #456 | — | 17 | 1 | no | — |
| 216 | #456 | — | 34 | 1 | no | — |
| 217 | #456 | — | 34 | 1 | no | — |
| 218 | #456 | #595 | 1 | 1 | yes | characteristic |
| 219 | C2×C4⋊C8 | — | 34 | 1 | no | — |
| 220 | C2×#104 | — | 34 | 1 | no | — |
| 221 | C2×#101 | — | 17 | 1 | no | — |
| 222 | C2×#101 | — | 34 | 1 | no | — |
| 223 | #356 | — | 17 | 2 | no | — |
| 224 | #356 | — | 34 | 1 | no | — |
| 225 | #333 | — | 17 | 2 | no | — |
| 226 | #333 | — | 34 | 1 | no | — |
| 227 | C2×C17 | — | 2 | 1 | no | — |
| 228 | C2×C17 | — | 8 | 1 | no | — |
| 229 | C2×C17 | C2×AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 230 | D17 | — | 2 | 1 | no | — |
| 231 | D17 | — | 8 | 1 | no | — |
| 232 | D17 | #1405 | 1 | 2 | yes | complemented |
| 233 | 2−1+4 | — | 17 | 1 | no | — |
| 234 | 2−1+4 | — | 34 | 1 | no | — |
| 235 | 2−1+4 | — | 68 | 1 | no | — |
| 236 | 2−1+4 | — | 68 | 1 | no | — |
| 237 | 2−1+4 | — | 68 | 1 | no | — |
| 238 | 2−1+4 | C2×#595 | 1 | 1 | yes | characteristic |
| 239 | C2×#41 | — | 34 | 1 | no | — |
| 240 | C2×#41 | — | 68 | 1 | no | — |
| 241 | C2×#41 | — | 68 | 1 | no | — |
| 242 | C22×Q8 | — | 17 | 1 | no | — |
| 243 | C22×Q8 | — | 17 | 1 | no | — |
| 244 | C22×Q8 | — | 68 | 1 | no | — |
| 245 | #137 | — | 2 | 1 | no | — |
| 246 | #137 | — | 34 | 1 | no | — |
| 247 | #137 | — | 34 | 1 | no | — |
| 248 | #137 | — | 34 | 1 | no | — |
| 249 | #137 | — | 68 | 1 | no | — |
| 250 | #137 | — | 68 | 1 | no | — |
| 251 | C2×Q16 | — | 68 | 1 | no | — |
| 252 | C2×SD16 | — | 68 | 1 | no | — |
| 253 | C2×M16 | — | 34 | 1 | no | — |
| 254 | C2×M16 | — | 68 | 1 | no | — |
| 255 | C22×C8 | — | 68 | 1 | no | — |
| 256 | C4⋊Q8 | — | 17 | 1 | no | — |
| 257 | C4⋊Q8 | — | 17 | 1 | no | — |
| 258 | C4⋊Q8 | — | 17 | 1 | no | — |
| 259 | C4⋊Q8 | — | 68 | 1 | no | — |
| 260 | C4⋊Q8 | C2×#595 | 1 | 1 | yes | characteristic |
| 261 | C2×C4⋊C4 | — | 68 | 1 | no | — |
| 262 | C2×C42 | — | 17 | 1 | no | — |
| 263 | C4⋊C8 | — | 34 | 2 | no | — |
| 264 | C4⋊C8 | — | 68 | 1 | no | — |
| 265 | #104 | — | 2 | 1 | no | — |
| 266 | #104 | — | 34 | 1 | no | — |
| 267 | #104 | — | 34 | 1 | no | — |
| 268 | #104 | — | 34 | 1 | no | — |
| 269 | #101 | — | 17 | 1 | no | — |
| 270 | #101 | — | 34 | 1 | no | — |
| 271 | #101 | — | 34 | 2 | no | — |
| 272 | #101 | — | 68 | 1 | no | — |
| 273 | #101 | C2×#595 | 1 | 1 | yes | characteristic |
| 274 | C17 | C2×#1405 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 275 | #41 | — | 2 | 1 | no | — |
| 276 | #41 | — | 4 | 1 | no | — |
| 277 | #41 | — | 4 | 1 | no | — |
| 278 | #41 | — | 34 | 1 | no | — |
| 279 | #41 | — | 34 | 1 | no | — |
| 280 | #41 | — | 34 | 1 | no | — |
| 281 | #41 | — | 68 | 1 | no | — |
| 282 | #41 | — | 68 | 1 | no | — |
| 283 | #41 | — | 68 | 1 | no | — |
| 284 | #41 | — | 68 | 2 | no | — |
| 285 | #41 | — | 68 | 2 | no | — |
| 286 | #41 | — | 68 | 1 | no | — |
| 287 | #41 | — | 68 | 2 | no | — |
| 288 | #41 | — | 68 | 1 | no | — |
| 289 | #41 | — | 68 | 2 | no | — |
| 290 | #41 | — | 68 | 1 | no | — |
| 291 | #41 | — | 68 | 1 | no | — |
| 292 | #41 | — | 68 | 1 | no | — |
| 293 | C2×Q8 | — | 4 | 1 | no | — |
| 294 | C2×Q8 | — | 17 | 1 | no | — |
| 295 | C2×Q8 | — | 17 | 1 | no | — |
| 296 | C2×Q8 | — | 34 | 1 | no | — |
| 297 | C2×Q8 | — | 34 | 1 | no | — |
| 298 | C2×Q8 | — | 34 | 1 | no | — |
| 299 | C2×Q8 | — | 68 | 1 | no | — |
| 300 | C2×Q8 | — | 68 | 2 | no | — |
| 301 | C2×Q8 | — | 68 | 1 | no | — |
| 302 | C2×Q8 | — | 68 | 1 | no | — |
| 303 | C2×Q8 | — | 68 | 1 | no | — |
| 304 | C2×Q8 | — | 68 | 1 | no | — |
| 305 | C2×Q8 | — | 68 | 1 | no | — |
| 306 | C2×Q8 | — | 68 | 1 | no | — |
| 307 | C2×Q8 | — | 68 | 2 | no | — |
| 308 | C2×Q8 | — | 68 | 1 | no | — |
| 309 | C2×Q8 | C22⋊#595 | 1 | 1 | yes | characteristic |
| 310 | C2×Q8 | C22×#595 | 1 | 1 | yes | characteristic |
| 311 | C2×D4 | — | 34 | 1 | no | — |
| 312 | C2×D4 | — | 68 | 1 | no | — |
| 313 | C2×D4 | — | 68 | 1 | no | — |
| 314 | C22×C4 | — | 17 | 1 | no | — |
| 315 | C22×C4 | — | 34 | 1 | no | — |
| 316 | C22×C4 | — | 34 | 1 | no | — |
| 317 | C22×C4 | — | 34 | 1 | no | — |
| 318 | C22×C4 | — | 68 | 1 | no | — |
| 319 | C22×C4 | — | 68 | 2 | no | — |
| 320 | Q16 | — | 4 | 1 | no | — |
| 321 | Q16 | — | 68 | 1 | no | — |
| 322 | Q16 | — | 68 | 1 | no | — |
| 323 | Q16 | — | 68 | 1 | no | — |
| 324 | SD16 | — | 4 | 1 | no | — |
| 325 | SD16 | — | 68 | 1 | no | — |
| 326 | SD16 | — | 68 | 1 | no | — |
| 327 | SD16 | — | 68 | 1 | no | — |
| 328 | M16 | — | 2 | 1 | no | — |
| 329 | M16 | — | 34 | 1 | no | — |
| 330 | M16 | — | 68 | 1 | no | — |
| 331 | M16 | — | 68 | 2 | no | — |
| 332 | M16 | — | 136 | 1 | no | — |
| 333 | C2×C8 | — | 68 | 1 | no | — |
| 334 | C2×C8 | — | 68 | 2 | no | — |
| 335 | C2×C8 | — | 136 | 2 | no | — |
| 336 | C2×C8 | — | 136 | 1 | no | — |
| 337 | C4⋊C4 | — | 4 | 1 | no | — |
| 338 | C4⋊C4 | — | 68 | 1 | no | — |
| 339 | C4⋊C4 | — | 68 | 1 | no | — |
| 340 | C4⋊C4 | — | 68 | 1 | no | — |
| 341 | C42 | — | 17 | 1 | no | — |
| 342 | C42 | — | 34 | 1 | no | — |
| 343 | C42 | C22⋊#595 | 1 | 1 | yes | characteristic |
| 344 | C23 | — | 17 | 1 | no | — |
| 345 | C23 | — | 68 | 1 | no | — |
| 346 | Q8 | — | 2 | 1 | no | — |
| 347 | Q8 | — | 4 | 1 | no | — |
| 348 | Q8 | — | 4 | 1 | no | — |
| 349 | Q8 | — | 4 | 1 | no | — |
| 350 | Q8 | — | 34 | 1 | no | — |
| 351 | Q8 | — | 68 | 1 | no | — |
| 352 | Q8 | — | 68 | 1 | no | — |
| 353 | Q8 | — | 68 | 2 | no | — |
| 354 | Q8 | — | 68 | 1 | no | — |
| 355 | Q8 | — | 68 | 1 | no | — |
| 356 | Q8 | — | 68 | 2 | no | — |
| 357 | Q8 | — | 136 | 1 | no | — |
| 358 | D4 | — | 2 | 1 | no | — |
| 359 | D4 | — | 4 | 1 | no | — |
| 360 | D4 | — | 4 | 1 | no | — |
| 361 | D4 | — | 34 | 1 | no | — |
| 362 | D4 | — | 68 | 1 | no | — |
| 363 | D4 | — | 68 | 1 | no | — |
| 364 | D4 | — | 68 | 1 | no | — |
| 365 | D4 | — | 68 | 1 | no | — |
| 366 | D4 | — | 68 | 2 | no | — |
| 367 | D4 | — | 68 | 1 | no | — |
| 368 | C2×C4 | — | 2 | 1 | no | — |
| 369 | C2×C4 | — | 2 | 1 | no | — |
| 370 | C2×C4 | — | 2 | 1 | no | — |
| 371 | C2×C4 | — | 4 | 1 | no | — |
| 372 | C2×C4 | — | 4 | 2 | no | — |
| 373 | C2×C4 | — | 17 | 1 | no | — |
| 374 | C2×C4 | — | 34 | 1 | no | — |
| 375 | C2×C4 | — | 34 | 1 | no | — |
| 376 | C2×C4 | — | 34 | 2 | no | — |
| 377 | C2×C4 | — | 34 | 2 | no | — |
| 378 | C2×C4 | — | 34 | 1 | no | — |
| 379 | C2×C4 | — | 34 | 1 | no | — |
| 380 | C2×C4 | — | 34 | 1 | no | — |
| 381 | C2×C4 | — | 68 | 1 | no | — |
| 382 | C2×C4 | — | 68 | 1 | no | — |
| 383 | C2×C4 | — | 68 | 1 | no | — |
| 384 | C2×C4 | — | 68 | 1 | no | — |
| 385 | C2×C4 | — | 68 | 1 | no | — |
| 386 | C2×C4 | — | 68 | 1 | no | — |
| 387 | C2×C4 | — | 68 | 1 | no | — |
| 388 | C2×C4 | — | 68 | 2 | no | — |
| 389 | C2×C4 | — | 68 | 2 | no | — |
| 390 | C2×C4 | — | 68 | 1 | no | — |
| 391 | C2×C4 | — | 68 | 2 | no | — |
| 392 | C2×C4 | C2×C22⋊#595 | 1 | 1 | yes | characteristic |
| 393 | C8 | — | 4 | 1 | no | — |
| 394 | C8 | — | 68 | 1 | no | — |
| 395 | C8 | — | 136 | 2 | no | — |
| 396 | C8 | — | 136 | 2 | no | — |
| 397 | C22 | — | 4 | 1 | no | — |
| 398 | C22 | — | 17 | 1 | no | — |
| 399 | C22 | — | 17 | 1 | no | — |
| 400 | C22 | — | 34 | 2 | no | — |
| 401 | C22 | — | 68 | 1 | no | — |
| 402 | C22 | — | 136 | 2 | no | — |
| 403 | C22 | D17⋊#99 | 1 | 1 | yes | characteristic |
| 404 | C4 | — | 2 | 2 | no | — |
| 405 | C4 | — | 2 | 1 | no | — |
| 406 | C4 | — | 4 | 1 | no | — |
| 407 | C4 | — | 4 | 1 | no | — |
| 408 | C4 | — | 4 | 1 | no | — |
| 409 | C4 | — | 34 | 1 | no | — |
| 410 | C4 | — | 34 | 1 | no | — |
| 411 | C4 | — | 34 | 1 | no | — |
| 412 | C4 | — | 68 | 1 | no | — |
| 413 | C4 | — | 68 | 1 | no | — |
| 414 | C4 | — | 68 | 1 | no | — |
| 415 | C2 | — | 2 | 1 | no | — |
| 416 | C2 | — | 8 | 1 | no | — |
| 417 | C2 | — | 17 | 2 | no | — |
| 418 | C2 | — | 34 | 1 | no | — |
| 419 | C2 | — | 136 | 1 | no | — |
| 420 | C2 | D17⋊AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D17⋊#356 | C2 | semidirect |
| 2. D17⋊#333 | C2 | semidirect |
| 3. #14543910 | C2 | semidirect |
| 4. #14543909 | C2 | semidirect |
| 9. #11763719 | C22 | semidirect |
| 11. #11763669 | C22 | semidirect |
| 232. D17 | #1405 | semidirect |
| 274. C17 | C2×#1405 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#356 | 2 |
| D17⋊#333 | 2 |
| #14543910 | 2 |
| #14543909 | 2 |
| D17×#456 | 2 |
| C2×#1405 | 17 |