Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
516 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 72 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 | #22626474 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #22625936 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #22625902 | C2 | 1 | 2 | yes | maximal |
| 4 | #22625014 | C2 | 1 | 2 | yes | maximal |
| 5 | #354×D73 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #17989654 | C22 | 1 | 1 | yes | characteristic |
| 7 | #17989580 | — | 2 | 1 | no | — |
| 8 | D73⋊#100 | C22 | 1 | 1 | yes | characteristic |
| 9 | (C2×#64408)⋊Q8 | — | 2 | 1 | no | — |
| 10 | #17989537 | — | 2 | 2 | no | — |
| 11 | #17989535 | C22 | 1 | 2 | yes | — |
| 12 | #17989534 | — | 2 | 2 | no | — |
| 13 | #17989534 | — | 2 | 2 | no | — |
| 14 | #17989531 | — | 2 | 1 | no | — |
| 15 | #17989464 | — | 2 | 2 | no | — |
| 16 | #17989458 | — | 2 | 1 | no | — |
| 17 | #124×D73 | C22 | 1 | 1 | yes | characteristic |
| 18 | #99×D73 | C22 | 1 | 2 | yes | — |
| 19 | #17988382 | C4 | 1 | 1 | yes | characteristic, complemented |
| 20 | #17988381 | C4 | 1 | 2 | yes | complemented |
| 21 | #354×C73 | C4 | 1 | 1 | yes | characteristic, complemented |
| 22 | C23×#64408 | D4 | 1 | 2 | yes | — |
| 23 | D73⋊M16 | — | 2 | 1 | no | — |
| 24 | D4×#64408 | — | 4 | 1 | no | — |
| 25 | D4×#64408 | — | 4 | 1 | no | — |
| 26 | #14556670 | — | 2 | 1 | no | — |
| 27 | C2×C4⋊#64408 | — | 2 | 1 | no | — |
| 28 | C2×C4⋊#64408 | — | 2 | 1 | no | — |
| 29 | C2×C4⋊#64408 | — | 2 | 1 | no | — |
| 30 | C2×C4⋊#64408 | — | 4 | 2 | no | — |
| 31 | C2×C22⋊#64408 | — | 2 | 2 | no | — |
| 32 | C2×C22⋊#64408 | — | 2 | 2 | no | — |
| 33 | C2×C22⋊#64408 | D4 | 1 | 2 | yes | — |
| 34 | C2×C4×#64408 | — | 2 | 1 | no | — |
| 35 | #14556654 | — | 4 | 1 | no | — |
| 36 | #14556654 | — | 4 | 1 | no | — |
| 37 | #14556651 | — | 2 | 2 | no | — |
| 38 | (C2×#64408)⋊C4 | — | 2 | 2 | no | — |
| 39 | (C2×#64408)⋊C4 | — | 2 | 2 | no | — |
| 40 | (C2×#64408)⋊C4 | — | 2 | 2 | no | — |
| 41 | (C2×#64408)⋊C4 | — | 4 | 2 | no | — |
| 42 | C2×Q8×D73 | D4 | 1 | 1 | yes | characteristic |
| 43 | C2×D4×D73 | C23 | 1 | 1 | yes | characteristic |
| 44 | #14556580 | Q8 | 1 | 1 | yes | characteristic |
| 45 | #14556579 | Q8 | 1 | 1 | yes | characteristic |
| 46 | #14556578 | C2×C4 | 1 | 1 | yes | characteristic |
| 47 | #14556577 | — | 2 | 2 | no | — |
| 48 | C22⋊C4×D73 | — | 2 | 2 | no | — |
| 49 | C22⋊C4×D73 | — | 2 | 2 | no | — |
| 50 | C42×D73 | D4 | 1 | 1 | yes | characteristic |
| 51 | #14556506 | C2×C4 | 1 | 2 | yes | — |
| 52 | #14556505 | — | 2 | 2 | no | — |
| 53 | #124×C73 | C2×C4 | 1 | 1 | yes | characteristic |
| 54 | #99×C73 | C2×C4 | 1 | 2 | yes | — |
| 55 | C22×#64408 | — | 2 | 2 | no | — |
| 56 | C22×#64408 | — | 2 | 2 | no | — |
| 57 | C22×#64408 | — | 2 | 2 | no | — |
| 58 | C22×#64408 | — | 2 | 2 | no | — |
| 59 | C22×#64408 | — | 4 | 2 | no | — |
| 60 | C22×#64408 | — | 8 | 2 | no | — |
| 61 | #11924038 | — | 4 | 1 | no | — |
| 62 | #11924037 | — | 4 | 1 | no | — |
| 63 | #11924036 | — | 4 | 1 | no | — |
| 64 | C4⋊#64408 | — | 2 | 1 | no | — |
| 65 | C4⋊#64408 | — | 2 | 1 | no | — |
| 66 | C4⋊#64408 | — | 8 | 1 | no | — |
| 67 | C4⋊#64408 | — | 8 | 1 | no | — |
| 68 | C4⋊#64408 | — | 8 | 1 | no | — |
| 69 | C4⋊#64408 | — | 8 | 4 | no | — |
| 70 | C22⋊#64408 | — | 4 | 2 | no | — |
| 71 | C22⋊#64408 | — | 4 | 1 | no | — |
| 72 | C22⋊#64408 | — | 4 | 2 | no | — |
| 73 | C22⋊#64408 | — | 8 | 2 | no | — |
| 74 | C4×#64408 | — | 4 | 1 | no | — |
| 75 | C4×#64408 | — | 8 | 1 | no | — |
| 76 | C23×D73 | C2×D4 | 1 | 2 | yes | — |
| 77 | C2×Dic146 | — | 2 | 1 | no | — |
| 78 | C2×Dic146 | C4⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 79 | Q8×D73 | — | 4 | 1 | no | — |
| 80 | Q8×D73 | — | 4 | 1 | no | — |
| 81 | C2×D292 | C2×Q8 | 1 | 1 | yes | characteristic |
| 82 | C2×C22⋊D73 | #41 | 1 | 2 | yes | — |
| 83 | D4×D73 | — | 4 | 1 | no | — |
| 84 | D4×D73 | — | 4 | 1 | no | — |
| 85 | C2×C4×D73 | — | 2 | 1 | no | — |
| 86 | C2×C4×D73 | — | 2 | 1 | no | — |
| 87 | C2×C4×D73 | — | 4 | 2 | no | — |
| 88 | C2×C4×D73 | C2×D4 | 1 | 1 | yes | characteristic |
| 89 | C22⋊Dic73 | — | 2 | 2 | no | — |
| 90 | C22⋊Dic73 | — | 2 | 2 | no | — |
| 91 | #11924005 | — | 2 | 2 | no | — |
| 92 | #11924005 | — | 2 | 2 | no | — |
| 93 | #11924005 | — | 4 | 2 | no | — |
| 94 | C4×Dic73 | — | 2 | 1 | no | — |
| 95 | C4×Dic73 | C4⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 96 | C2×Q8×C73 | C4⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 97 | C2×D4×C73 | C22×C4 | 1 | 1 | yes | characteristic |
| 98 | C22⋊C4×C73 | — | 2 | 2 | no | — |
| 99 | C22⋊C4×C73 | — | 2 | 2 | no | — |
| 100 | C42×C73 | C4⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 101 | C23×C73 | C4×D4 | 1 | 2 | yes | — |
| 102 | C22×D73 | — | 2 | 2 | no | — |
| 103 | C22×D73 | — | 2 | 2 | no | — |
| 104 | C22×D73 | — | 4 | 2 | no | — |
| 105 | C22×D73 | — | 4 | 2 | no | — |
| 106 | C22×D73 | #120 | 1 | 1 | yes | characteristic |
| 107 | C22×D73 | C22⋊Q8 | 1 | 2 | yes | — |
| 108 | C2×#64408 | — | 4 | 2 | no | — |
| 109 | C2×#64408 | — | 4 | 2 | no | — |
| 110 | C2×#64408 | — | 4 | 2 | no | — |
| 111 | C2×#64408 | — | 4 | 2 | no | — |
| 112 | C2×#64408 | — | 4 | 4 | no | — |
| 113 | C2×#64408 | — | 4 | 1 | no | — |
| 114 | C2×#64408 | — | 4 | 1 | no | — |
| 115 | C2×#64408 | — | 4 | 2 | no | — |
| 116 | C2×#64408 | — | 4 | 2 | no | — |
| 117 | C2×#64408 | — | 8 | 2 | no | — |
| 118 | C2×#64408 | — | 8 | 2 | no | — |
| 119 | C2×#64408 | — | 8 | 2 | no | — |
| 120 | Q8×C73 | — | 4 | 1 | no | — |
| 121 | D4×C73 | — | 4 | 1 | no | — |
| 122 | C2×C4×C73 | — | 2 | 1 | no | — |
| 123 | C2×C4×C73 | — | 2 | 1 | no | — |
| 124 | C2×C4×C73 | — | 4 | 2 | no | — |
| 125 | C2×C4×C73 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 126 | C22⋊D73 | — | 4 | 2 | no | — |
| 127 | C2×Dic73 | — | 2 | 1 | no | — |
| 128 | C2×Dic73 | — | 2 | 1 | no | — |
| 129 | C2×Dic73 | — | 4 | 2 | no | — |
| 130 | C2×Dic73 | #123 | 1 | 1 | yes | characteristic |
| 131 | D292 | — | 4 | 1 | no | — |
| 132 | C4×D73 | — | 2 | 1 | no | — |
| 133 | C4×D73 | — | 2 | 1 | no | — |
| 134 | C4×D73 | — | 4 | 1 | no | — |
| 135 | C4×D73 | — | 4 | 1 | no | — |
| 136 | C4×D73 | — | 4 | 1 | no | — |
| 137 | C4×D73 | — | 4 | 1 | no | — |
| 138 | C4×D73 | — | 8 | 2 | no | — |
| 139 | C4×D73 | — | 8 | 2 | no | — |
| 140 | Dic146 | — | 4 | 1 | no | — |
| 141 | Dic146 | — | 8 | 1 | no | — |
| 142 | #10596833 | — | 8 | 1 | no | — |
| 143 | C22×C73 | — | 2 | 2 | no | — |
| 144 | C22×C73 | — | 4 | 2 | no | — |
| 145 | C22×C73 | #385 | 1 | 1 | yes | characteristic |
| 146 | C2×D73 | — | 2 | 1 | no | — |
| 147 | C2×D73 | — | 2 | 1 | no | — |
| 148 | C2×D73 | — | 2 | 2 | no | — |
| 149 | C2×D73 | — | 4 | 2 | no | — |
| 150 | C2×D73 | — | 4 | 2 | no | — |
| 151 | C2×D73 | — | 4 | 2 | no | — |
| 152 | C2×D73 | — | 8 | 2 | no | — |
| 153 | C2×D73 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 154 | C2×D73 | #458 | 1 | 1 | yes | characteristic |
| 155 | #64408 | — | 8 | 2 | no | — |
| 156 | #64408 | — | 8 | 2 | no | — |
| 157 | #64408 | — | 8 | 1 | no | — |
| 158 | #64408 | — | 8 | 1 | no | — |
| 159 | C4×C73 | — | 2 | 1 | no | — |
| 160 | C4×C73 | — | 4 | 1 | no | — |
| 161 | C4×C73 | — | 4 | 1 | no | — |
| 162 | C4×C73 | — | 8 | 2 | no | — |
| 163 | Dic73 | — | 2 | 1 | no | — |
| 164 | Dic73 | — | 4 | 1 | no | — |
| 165 | Dic73 | — | 4 | 1 | no | — |
| 166 | Dic73 | — | 8 | 2 | no | — |
| 167 | #12967 | — | 73 | 1 | no | maximal, Sylow |
| 168 | C2×C73 | — | 2 | 1 | no | — |
| 169 | C2×C73 | — | 4 | 2 | no | — |
| 170 | C2×C73 | #1867 | 1 | 1 | yes | characteristic |
| 171 | D73 | — | 2 | 1 | no | — |
| 172 | D73 | — | 4 | 2 | no | — |
| 173 | D73 | #2199 | 1 | 1 | yes | characteristic |
| 174 | D73 | #2201 | 1 | 1 | yes | characteristic |
| 175 | #2379 | — | 73 | 1 | no | — |
| 176 | C2×#354 | — | 73 | 1 | no | — |
| 177 | #1885 | — | 73 | 1 | no | — |
| 178 | #1867 | — | 73 | 2 | no | — |
| 179 | #1390 | — | 73 | 2 | no | — |
| 180 | C73 | #12967 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 181 | C2×#124 | — | 73 | 1 | no | — |
| 182 | #518 | — | 73 | 1 | no | — |
| 183 | #419 | — | 146 | 1 | no | — |
| 184 | C2×#100 | — | 73 | 1 | no | — |
| 185 | C2×#99 | — | 73 | 2 | no | — |
| 186 | #391 | — | 146 | 1 | no | — |
| 187 | #388 | — | 146 | 2 | no | — |
| 188 | #386 | — | 73 | 2 | no | — |
| 189 | #385 | — | 146 | 2 | no | — |
| 190 | #385 | — | 146 | 2 | no | — |
| 191 | #382 | — | 146 | 1 | no | — |
| 192 | #354 | — | 73 | 1 | no | — |
| 193 | #354 | — | 73 | 2 | no | — |
| 194 | #354 | #64408 | 1 | 1 | yes | characteristic, complemented |
| 195 | #342 | — | 146 | 2 | no | — |
| 196 | #339 | — | 146 | 1 | no | — |
| 197 | C22×Q8 | — | 73 | 1 | no | — |
| 198 | C22×D4 | — | 73 | 1 | no | — |
| 199 | C23×C4 | — | 73 | 2 | no | — |
| 200 | C2×M16 | — | 146 | 1 | no | — |
| 201 | #124 | — | 73 | 1 | no | — |
| 202 | #124 | — | 73 | 1 | no | — |
| 203 | #124 | — | 73 | 1 | no | — |
| 204 | #124 | — | 146 | 2 | no | — |
| 205 | #124 | C2×#64408 | 1 | 1 | yes | characteristic |
| 206 | C4×D4 | — | 292 | 1 | no | — |
| 207 | C4×D4 | — | 292 | 1 | no | — |
| 208 | #117 | — | 146 | 1 | no | — |
| 209 | C2×C4⋊C4 | — | 292 | 2 | no | — |
| 210 | C2×C4⋊C4 | — | 146 | 1 | no | — |
| 211 | C2×C4⋊C4 | — | 146 | 1 | no | — |
| 212 | C2×C4⋊C4 | — | 146 | 1 | no | — |
| 213 | C2×C22⋊C4 | — | 73 | 2 | no | — |
| 214 | C2×C22⋊C4 | — | 146 | 2 | no | — |
| 215 | C2×C22⋊C4 | — | 146 | 2 | no | — |
| 216 | C2×C22⋊C4 | — | 146 | 2 | no | — |
| 217 | C2×C22⋊C4 | — | 146 | 2 | no | — |
| 218 | C2×C42 | — | 73 | 1 | no | — |
| 219 | C2×C42 | — | 146 | 1 | no | — |
| 220 | #103 | — | 292 | 1 | no | — |
| 221 | #103 | — | 292 | 1 | no | — |
| 222 | #100 | — | 146 | 2 | no | — |
| 223 | #99 | — | 73 | 2 | no | — |
| 224 | #99 | — | 146 | 2 | no | — |
| 225 | #99 | C2×#64408 | 1 | 2 | yes | — |
| 226 | #95 | — | 292 | 2 | no | — |
| 227 | #95 | — | 146 | 2 | no | — |
| 228 | #95 | — | 146 | 2 | no | — |
| 229 | #95 | — | 146 | 2 | no | — |
| 230 | C24 | — | 73 | 2 | no | — |
| 231 | C2×Q8 | — | 292 | 1 | no | — |
| 232 | C2×Q8 | — | 292 | 1 | no | — |
| 233 | C2×Q8 | — | 73 | 1 | no | — |
| 234 | C2×Q8 | — | 146 | 1 | no | — |
| 235 | C2×Q8 | C4⋊#64408 | 1 | 1 | yes | characteristic, complemented |
| 236 | C2×D4 | — | 292 | 1 | no | — |
| 237 | C2×D4 | — | 292 | 1 | no | — |
| 238 | C2×D4 | — | 73 | 2 | no | — |
| 239 | C2×D4 | — | 73 | 1 | no | — |
| 240 | C2×D4 | C22×#64408 | 1 | 1 | yes | characteristic |
| 241 | C22×C4 | — | 292 | 2 | no | — |
| 242 | C22×C4 | — | 292 | 2 | no | — |
| 243 | C22×C4 | — | 584 | 2 | no | — |
| 244 | C22×C4 | — | 73 | 1 | no | — |
| 245 | C22×C4 | — | 146 | 1 | no | — |
| 246 | C22×C4 | — | 146 | 1 | no | — |
| 247 | C22×C4 | — | 146 | 2 | no | — |
| 248 | C22×C4 | — | 146 | 2 | no | — |
| 249 | C22×C4 | — | 146 | 2 | no | — |
| 250 | C22×C4 | — | 146 | 2 | no | — |
| 251 | M16 | — | 292 | 1 | no | — |
| 252 | M16 | — | 292 | 1 | no | — |
| 253 | C2×C8 | — | 292 | 1 | no | — |
| 254 | C4⋊C4 | — | 584 | 1 | no | — |
| 255 | C4⋊C4 | — | 584 | 1 | no | — |
| 256 | C4⋊C4 | — | 584 | 1 | no | — |
| 257 | C4⋊C4 | — | 584 | 4 | no | — |
| 258 | C4⋊C4 | — | 146 | 1 | no | — |
| 259 | C4⋊C4 | — | 146 | 1 | no | — |
| 260 | C22⋊C4 | — | 2 | 2 | no | — |
| 261 | C22⋊C4 | — | 2 | 2 | no | — |
| 262 | C22⋊C4 | — | 292 | 2 | no | — |
| 263 | C22⋊C4 | — | 292 | 1 | no | — |
| 264 | C22⋊C4 | — | 292 | 2 | no | — |
| 265 | C22⋊C4 | — | 292 | 2 | no | — |
| 266 | C22⋊C4 | — | 584 | 2 | no | — |
| 267 | C22⋊C4 | — | 146 | 2 | no | — |
| 268 | C22⋊C4 | — | 146 | 2 | no | — |
| 269 | C22⋊C4 | — | 146 | 2 | no | — |
| 270 | C22⋊C4 | — | 146 | 2 | no | — |
| 271 | C42 | — | 292 | 1 | no | — |
| 272 | C42 | — | 584 | 1 | no | — |
| 273 | C42 | — | 73 | 1 | no | — |
| 274 | C42 | — | 146 | 1 | no | — |
| 275 | C42 | C4⋊#64408 | 1 | 1 | yes | characteristic, complemented |
| 276 | C23 | — | 292 | 2 | no | — |
| 277 | C23 | — | 292 | 2 | no | — |
| 278 | C23 | — | 73 | 2 | no | — |
| 279 | C23 | — | 73 | 1 | no | — |
| 280 | C23 | — | 146 | 2 | no | — |
| 281 | C23 | — | 146 | 2 | no | — |
| 282 | C23 | D4×#64408 | 1 | 2 | yes | — |
| 283 | Q8 | — | 4 | 1 | no | — |
| 284 | Q8 | — | 292 | 1 | no | — |
| 285 | Q8 | — | 584 | 1 | no | — |
| 286 | D4 | — | 4 | 1 | no | — |
| 287 | D4 | — | 292 | 1 | no | — |
| 288 | D4 | — | 292 | 2 | no | — |
| 289 | C2×C4 | — | 2 | 1 | no | — |
| 290 | C2×C4 | — | 2 | 1 | no | — |
| 291 | C2×C4 | — | 4 | 2 | no | — |
| 292 | C2×C4 | — | 292 | 1 | no | — |
| 293 | C2×C4 | — | 292 | 1 | no | — |
| 294 | C2×C4 | — | 292 | 1 | no | — |
| 295 | C2×C4 | — | 292 | 1 | no | — |
| 296 | C2×C4 | — | 292 | 2 | no | — |
| 297 | C2×C4 | — | 292 | 4 | no | — |
| 298 | C2×C4 | — | 292 | 1 | no | — |
| 299 | C2×C4 | — | 292 | 1 | no | — |
| 300 | C2×C4 | — | 292 | 2 | no | — |
| 301 | C2×C4 | — | 292 | 2 | no | — |
| 302 | C2×C4 | — | 292 | 2 | no | — |
| 303 | C2×C4 | — | 292 | 2 | no | — |
| 304 | C2×C4 | — | 292 | 2 | no | — |
| 305 | C2×C4 | — | 292 | 2 | no | — |
| 306 | C2×C4 | — | 584 | 2 | no | — |
| 307 | C2×C4 | — | 584 | 2 | no | — |
| 308 | C2×C4 | — | 584 | 2 | no | — |
| 309 | C2×C4 | — | 584 | 2 | no | — |
| 310 | C2×C4 | — | 584 | 2 | no | — |
| 311 | C2×C4 | — | 73 | 1 | no | — |
| 312 | C2×C4 | — | 146 | 1 | no | — |
| 313 | C2×C4 | — | 146 | 1 | no | — |
| 314 | C2×C4 | — | 146 | 1 | no | — |
| 315 | C2×C4 | — | 146 | 1 | no | — |
| 316 | C2×C4 | C2×C4⋊#64408 | 1 | 1 | yes | characteristic |
| 317 | C8 | — | 584 | 1 | no | — |
| 318 | C22 | — | 2 | 2 | no | — |
| 319 | C22 | — | 4 | 2 | no | — |
| 320 | C22 | — | 292 | 2 | no | — |
| 321 | C22 | — | 292 | 2 | no | — |
| 322 | C22 | — | 292 | 2 | no | — |
| 323 | C22 | — | 584 | 2 | no | — |
| 324 | C22 | — | 73 | 1 | no | — |
| 325 | C22 | — | 73 | 1 | no | — |
| 326 | C22 | — | 146 | 1 | no | — |
| 327 | C22 | — | 146 | 1 | no | — |
| 328 | C22 | — | 146 | 2 | no | — |
| 329 | C22 | #17989534 | 1 | 1 | yes | characteristic |
| 330 | C4 | — | 2 | 1 | no | — |
| 331 | C4 | — | 4 | 1 | no | — |
| 332 | C4 | — | 4 | 1 | no | — |
| 333 | C4 | — | 8 | 2 | no | — |
| 334 | C4 | — | 292 | 1 | no | — |
| 335 | C4 | — | 292 | 1 | no | — |
| 336 | C4 | — | 584 | 2 | no | — |
| 337 | C4 | — | 584 | 2 | no | — |
| 338 | C4 | — | 584 | 1 | no | — |
| 339 | C4 | — | 584 | 1 | no | — |
| 340 | C4 | — | 584 | 2 | no | — |
| 341 | C4 | — | 146 | 1 | no | — |
| 342 | C2 | — | 2 | 1 | no | — |
| 343 | C2 | — | 4 | 2 | no | — |
| 344 | C2 | — | 292 | 2 | no | — |
| 345 | C2 | — | 73 | 1 | no | — |
| 346 | C2 | — | 73 | 1 | no | — |
| 347 | C2 | — | 146 | 1 | no | — |
| 348 | C2 | #22625902 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 19. #17988382 | C4 | semidirect |
| 20. #17988381 | C4 | semidirect |
| 21. #354×C73 | C4 | semidirect |
| 78. C2×Dic146 | C4⋊C4 | semidirect |
| 95. C4×Dic73 | C4⋊C4 | semidirect |
| 96. C2×Q8×C73 | C4⋊C4 | semidirect |
| 100. C42×C73 | C4⋊C4 | semidirect |
| 180. C73 | #12967 | semidirect |
| 194. #354 | #64408 | semidirect |
| 235. C2×Q8 | C4⋊#64408 | semidirect |
| 275. C42 | C4⋊#64408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626474 | 2 |
| #22625936 | 2 |
| #22625902 | 2 |
| #22625014 | 2 |
| #354×D73 | 2 |
| #12967 | 73 |