Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
474 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 71 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 | #11740608 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×C7×#353 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#89340 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11725347 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #11725346 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C2×C7×#127 | C22 | 1 | 1 | yes | characteristic |
| 7 | C2×#6495 | — | 2 | 1 | no | — |
| 8 | C2×#6495 | — | 2 | 1 | no | — |
| 9 | #90168 | C4 | 1 | 1 | yes | characteristic, complemented |
| 10 | C2×C7×#99 | — | 2 | 1 | no | — |
| 11 | C2×#6408 | — | 2 | 1 | no | — |
| 12 | #89848 | C4 | 1 | 1 | yes | characteristic, complemented |
| 13 | #89848 | C22 | 1 | 1 | yes | characteristic |
| 14 | #89846 | — | 2 | 1 | no | — |
| 15 | #89846 | — | 2 | 1 | no | — |
| 16 | #89845 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | #89845 | C22 | 1 | 1 | yes | characteristic |
| 18 | C4×#1136 | C4 | 1 | 1 | yes | characteristic, complemented |
| 19 | C7×#353 | — | 2 | 1 | no | — |
| 20 | C7×#353 | C22 | 1 | 2 | yes | — |
| 21 | #89340 | — | 2 | 1 | no | — |
| 22 | #89340 | C22 | 1 | 2 | yes | — |
| 23 | #13584 | — | 7 | 1 | no | maximal, Sylow |
| 24 | C22×C7×D4 | — | 4 | 1 | no | — |
| 25 | C22×C7×D4 | D4 | 1 | 1 | yes | characteristic |
| 26 | C22×C7×D4 | D4 | 1 | 1 | yes | characteristic |
| 27 | C2×#1157 | — | 2 | 1 | no | — |
| 28 | C7×#127 | — | 4 | 1 | no | — |
| 29 | C7×#127 | C2×C4 | 1 | 1 | yes | characteristic |
| 30 | C7×#127 | D4 | 1 | 1 | yes | characteristic |
| 31 | C7×#127 | D4 | 1 | 1 | yes | characteristic |
| 32 | C7×#127 | C23 | 1 | 1 | yes | characteristic |
| 33 | C2×C7×C22⋊C4 | — | 4 | 1 | no | — |
| 34 | C2×C42×C7 | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | C2×C22⋊Dic7 | — | 4 | 1 | no | — |
| 36 | C2×#1142 | — | 2 | 1 | no | — |
| 37 | C2×#1142 | — | 2 | 1 | no | — |
| 38 | C2×#1142 | — | 2 | 1 | no | — |
| 39 | C2×#1142 | — | 2 | 1 | no | — |
| 40 | #6495 | — | 4 | 2 | no | — |
| 41 | #6495 | — | 4 | 2 | no | — |
| 42 | #6495 | — | 4 | 2 | no | — |
| 43 | #6495 | — | 4 | 2 | no | — |
| 44 | C2×#1141 | — | 2 | 1 | no | — |
| 45 | C2×#1141 | — | 2 | 1 | no | — |
| 46 | C2×#1141 | — | 2 | 1 | no | — |
| 47 | C2×#1141 | — | 2 | 1 | no | — |
| 48 | #6493 | — | 4 | 1 | no | — |
| 49 | C2×#1136 | — | 2 | 1 | no | — |
| 50 | #6438 | — | 2 | 1 | no | — |
| 51 | #6437 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 52 | C4×D28 | — | 4 | 1 | no | — |
| 53 | #6432 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 54 | C7×#99 | — | 2 | 2 | no | — |
| 55 | C7×#99 | — | 4 | 1 | no | — |
| 56 | #6408 | — | 2 | 2 | no | — |
| 57 | #6408 | — | 4 | 1 | no | — |
| 58 | #6377 | — | 2 | 1 | no | — |
| 59 | C4×C7⋊C8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 60 | C4×C7⋊C8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 61 | #3151 | — | 7 | 1 | no | — |
| 62 | C2×#353 | — | 7 | 1 | no | — |
| 63 | C2×#353 | D7 | 1 | 1 | yes | characteristic, complemented |
| 64 | #1409 | — | 7 | 2 | no | — |
| 65 | #1408 | — | 7 | 2 | no | — |
| 66 | C24×C7 | — | 2 | 1 | no | — |
| 67 | C24×C7 | — | 2 | 1 | no | — |
| 68 | C2×C7×D4 | — | 2 | 1 | no | — |
| 69 | C2×C7×D4 | — | 2 | 1 | no | — |
| 70 | C2×C7×D4 | — | 4 | 1 | no | — |
| 71 | C2×C7×D4 | — | 4 | 1 | no | — |
| 72 | C2×C7×D4 | — | 4 | 1 | no | — |
| 73 | C2×C7×D4 | — | 4 | 1 | no | — |
| 74 | C2×C7×D4 | — | 4 | 1 | no | — |
| 75 | C2×C7×D4 | — | 4 | 1 | no | — |
| 76 | C2×C7×D4 | — | 4 | 1 | no | — |
| 77 | C2×C7×D4 | — | 4 | 1 | no | — |
| 78 | C2×C7×D4 | — | 8 | 4 | no | — |
| 79 | C2×C7×D4 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 80 | C2×C7×D4 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 81 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 82 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 83 | C22×C4×C7 | — | 2 | 1 | no | — |
| 84 | C22×C4×C7 | — | 8 | 1 | no | — |
| 85 | C22×C4×C7 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 86 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 87 | C22×Dic7 | — | 8 | 1 | no | — |
| 88 | #1157 | — | 4 | 1 | no | — |
| 89 | #1157 | — | 4 | 1 | no | — |
| 90 | #1157 | — | 4 | 1 | no | — |
| 91 | #1157 | — | 4 | 1 | no | — |
| 92 | C2×D28 | — | 2 | 1 | no | — |
| 93 | C2×D28 | — | 4 | 1 | no | — |
| 94 | C2×C4×D7 | — | 4 | 1 | no | — |
| 95 | C2×Dic14 | — | 2 | 1 | no | — |
| 96 | C7×C22⋊C4 | — | 4 | 2 | no | — |
| 97 | C7×C22⋊C4 | — | 8 | 1 | no | — |
| 98 | C42×C7 | — | 2 | 1 | no | — |
| 99 | C42×C7 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 100 | C42×C7 | C22×C4 | 1 | 1 | yes | characteristic |
| 101 | C22⋊Dic7 | — | 4 | 2 | no | — |
| 102 | C22⋊Dic7 | — | 8 | 1 | no | — |
| 103 | #1142 | — | 4 | 2 | no | — |
| 104 | #1142 | — | 4 | 2 | no | — |
| 105 | #1142 | — | 4 | 2 | no | — |
| 106 | #1142 | — | 4 | 2 | no | — |
| 107 | #1141 | — | 4 | 2 | no | — |
| 108 | #1141 | — | 4 | 2 | no | — |
| 109 | #1141 | — | 4 | 2 | no | — |
| 110 | #1141 | — | 4 | 2 | no | — |
| 111 | (C2×D7)⋊C4 | — | 4 | 2 | no | — |
| 112 | C4⋊Dic7 | — | 4 | 1 | no | — |
| 113 | #1136 | — | 2 | 2 | no | — |
| 114 | #1136 | — | 2 | 2 | no | — |
| 115 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 116 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 117 | C2×AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 118 | C2×AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 119 | #532 | — | 7 | 1 | no | — |
| 120 | C2×#127 | C2×D7 | 1 | 1 | yes | characteristic |
| 121 | #496 | — | 14 | 1 | no | — |
| 122 | #496 | — | 14 | 1 | no | — |
| 123 | #493 | — | 7 | 1 | no | — |
| 124 | #493 | — | 7 | 1 | no | — |
| 125 | #492 | — | 7 | 1 | no | — |
| 126 | #492 | — | 7 | 1 | no | — |
| 127 | C2×#99 | — | 2 | 1 | no | — |
| 128 | C2×#99 | — | 14 | 1 | no | — |
| 129 | C4×M16 | — | 7 | 1 | no | — |
| 130 | #353 | — | 2 | 1 | no | — |
| 131 | #353 | — | 7 | 2 | no | — |
| 132 | #353 | — | 14 | 1 | no | — |
| 133 | #353 | C2×D7 | 1 | 2 | yes | — |
| 134 | C23×C7 | — | 2 | 1 | no | — |
| 135 | C23×C7 | — | 2 | 1 | no | — |
| 136 | C23×C7 | — | 2 | 1 | no | — |
| 137 | C23×C7 | — | 2 | 1 | no | — |
| 138 | C23×C7 | — | 4 | 1 | no | — |
| 139 | C23×C7 | — | 4 | 1 | no | — |
| 140 | C23×C7 | — | 4 | 1 | no | — |
| 141 | C23×C7 | — | 4 | 1 | no | — |
| 142 | C23×C7 | — | 8 | 2 | no | — |
| 143 | C23×C7 | — | 8 | 2 | no | — |
| 144 | C23×C7 | #99 | 1 | 1 | yes | characteristic |
| 145 | C22×D7 | — | 4 | 1 | no | — |
| 146 | C7×D4 | — | 4 | 1 | no | — |
| 147 | C7×D4 | — | 4 | 1 | no | — |
| 148 | C7×D4 | — | 4 | 1 | no | — |
| 149 | C7×D4 | — | 4 | 1 | no | — |
| 150 | C7×D4 | — | 8 | 1 | no | — |
| 151 | C7×D4 | — | 8 | 1 | no | — |
| 152 | C7×D4 | — | 8 | 2 | no | — |
| 153 | C7×D4 | — | 8 | 2 | no | — |
| 154 | C7×D4 | — | 8 | 2 | no | — |
| 155 | C7×D4 | — | 8 | 2 | no | — |
| 156 | C2×C4×C7 | — | 2 | 1 | no | — |
| 157 | C2×C4×C7 | — | 2 | 1 | no | — |
| 158 | C2×C4×C7 | — | 2 | 1 | no | — |
| 159 | C2×C4×C7 | — | 2 | 1 | no | — |
| 160 | C2×C4×C7 | — | 4 | 2 | no | — |
| 161 | C2×C4×C7 | — | 8 | 2 | no | — |
| 162 | C2×C4×C7 | — | 16 | 2 | no | — |
| 163 | C2×C4×C7 | #99 | 1 | 1 | yes | characteristic |
| 164 | C2×C4×C7 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 165 | C22⋊D7 | — | 8 | 1 | no | — |
| 166 | C22⋊D7 | — | 8 | 1 | no | — |
| 167 | C2×Dic7 | — | 4 | 1 | no | — |
| 168 | C2×Dic7 | — | 8 | 2 | no | — |
| 169 | C2×Dic7 | — | 16 | 2 | no | — |
| 170 | D28 | — | 4 | 1 | no | — |
| 171 | D28 | — | 4 | 1 | no | — |
| 172 | D28 | — | 8 | 2 | no | — |
| 173 | C4×D7 | — | 8 | 1 | no | — |
| 174 | C4×D7 | — | 8 | 1 | no | — |
| 175 | Dic14 | — | 4 | 1 | no | — |
| 176 | Dic14 | — | 4 | 1 | no | — |
| 177 | C7⋊C8 | — | 2 | 2 | no | — |
| 178 | C7⋊C8 | — | 2 | 2 | no | — |
| 179 | C2×#41 | — | 14 | 1 | no | — |
| 180 | C22×D4 | — | 4 | 1 | no | — |
| 181 | C22×D4 | D28 | 1 | 1 | yes | characteristic |
| 182 | C22×D4 | C22⋊D7 | 1 | 1 | yes | characteristic |
| 183 | AGL(1,ℤ/8) | — | 28 | 2 | no | — |
| 184 | AGL(1,ℤ/8) | — | 28 | 2 | no | — |
| 185 | AGL(1,ℤ/8) | — | 28 | 2 | no | — |
| 186 | AGL(1,ℤ/8) | — | 28 | 2 | no | — |
| 187 | C2×SD16 | — | 14 | 1 | no | — |
| 188 | C2×SD16 | — | 14 | 1 | no | — |
| 189 | C2×SD16 | — | 14 | 1 | no | — |
| 190 | C2×SD16 | — | 14 | 1 | no | — |
| 191 | C2×D8 | — | 14 | 1 | no | — |
| 192 | C2×D8 | — | 14 | 1 | no | — |
| 193 | C2×D8 | — | 14 | 1 | no | — |
| 194 | C2×D8 | — | 14 | 1 | no | — |
| 195 | C2×M16 | — | 14 | 1 | no | — |
| 196 | C4⋊Q8 | — | 7 | 1 | no | — |
| 197 | #127 | — | 4 | 1 | no | — |
| 198 | #127 | — | 7 | 1 | no | — |
| 199 | #127 | C4×D7 | 1 | 1 | yes | characteristic |
| 200 | #127 | D28 | 1 | 1 | yes | characteristic |
| 201 | #127 | C22⋊D7 | 1 | 1 | yes | characteristic |
| 202 | #127 | C22×D7 | 1 | 1 | yes | characteristic |
| 203 | #124 | — | 14 | 1 | no | — |
| 204 | #121 | — | 28 | 1 | no | — |
| 205 | C4×D4 | — | 28 | 1 | no | — |
| 206 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 207 | C2×C22⋊C4 | — | 28 | 1 | no | — |
| 208 | C2×C42 | C4×D7 | 1 | 1 | yes | characteristic |
| 209 | #99 | — | 2 | 2 | no | — |
| 210 | #99 | — | 4 | 1 | no | — |
| 211 | #99 | — | 14 | 2 | no | — |
| 212 | #99 | — | 28 | 1 | no | — |
| 213 | #97 | — | 14 | 1 | no | — |
| 214 | C4×C8 | — | 7 | 1 | no | — |
| 215 | C4×C8 | — | 7 | 1 | no | — |
| 216 | C22×C7 | — | 4 | 1 | no | — |
| 217 | C22×C7 | — | 4 | 1 | no | — |
| 218 | C22×C7 | — | 4 | 1 | no | — |
| 219 | C22×C7 | — | 4 | 1 | no | — |
| 220 | C22×C7 | — | 4 | 1 | no | — |
| 221 | C22×C7 | — | 8 | 1 | no | — |
| 222 | C22×C7 | — | 8 | 1 | no | — |
| 223 | C22×C7 | — | 8 | 1 | no | — |
| 224 | C22×C7 | — | 8 | 1 | no | — |
| 225 | C22×C7 | — | 8 | 2 | no | — |
| 226 | C22×C7 | — | 8 | 2 | no | — |
| 227 | C22×C7 | — | 16 | 1 | no | — |
| 228 | C22×C7 | — | 16 | 1 | no | — |
| 229 | C22×C7 | #353 | 1 | 1 | yes | characteristic |
| 230 | C22×C7 | #353 | 1 | 1 | yes | characteristic |
| 231 | C22×C7 | C2×#99 | 1 | 1 | yes | characteristic |
| 232 | C2×D7 | — | 8 | 2 | no | — |
| 233 | C2×D7 | — | 8 | 1 | no | — |
| 234 | C4×C7 | — | 2 | 2 | no | — |
| 235 | C4×C7 | — | 2 | 1 | no | — |
| 236 | C4×C7 | — | 2 | 1 | no | — |
| 237 | C4×C7 | — | 4 | 1 | no | — |
| 238 | C4×C7 | — | 16 | 2 | no | — |
| 239 | Dic7 | — | 8 | 1 | no | — |
| 240 | Dic7 | — | 16 | 2 | no | — |
| 241 | C24 | — | 2 | 1 | no | — |
| 242 | C24 | — | 2 | 1 | no | — |
| 243 | #41 | — | 28 | 1 | no | — |
| 244 | #41 | — | 28 | 1 | no | — |
| 245 | #41 | — | 28 | 1 | no | — |
| 246 | #41 | — | 28 | 1 | no | — |
| 247 | C2×Q8 | — | 14 | 1 | no | — |
| 248 | C2×D4 | — | 2 | 1 | no | — |
| 249 | C2×D4 | — | 2 | 1 | no | — |
| 250 | C2×D4 | — | 4 | 1 | no | — |
| 251 | C2×D4 | — | 4 | 1 | no | — |
| 252 | C2×D4 | — | 4 | 1 | no | — |
| 253 | C2×D4 | — | 4 | 1 | no | — |
| 254 | C2×D4 | — | 4 | 1 | no | — |
| 255 | C2×D4 | — | 4 | 1 | no | — |
| 256 | C2×D4 | — | 4 | 1 | no | — |
| 257 | C2×D4 | — | 4 | 1 | no | — |
| 258 | C2×D4 | — | 8 | 4 | no | — |
| 259 | C2×D4 | — | 14 | 1 | no | — |
| 260 | C2×D4 | — | 28 | 1 | no | — |
| 261 | C2×D4 | — | 28 | 1 | no | — |
| 262 | C2×D4 | (C2×D7)⋊C4 | 1 | 1 | yes | characteristic |
| 263 | C2×D4 | (C2×D7)⋊C4 | 1 | 1 | yes | characteristic |
| 264 | C2×D4 | C2×D28 | 1 | 1 | yes | characteristic |
| 265 | C2×D4 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 266 | C22×C4 | — | 2 | 1 | no | — |
| 267 | C22×C4 | — | 8 | 1 | no | — |
| 268 | C22×C4 | — | 28 | 1 | no | — |
| 269 | C22×C4 | — | 56 | 1 | no | — |
| 270 | C22×C4 | (C2×D7)⋊C4 | 1 | 1 | yes | characteristic |
| 271 | SD16 | — | 28 | 2 | no | — |
| 272 | SD16 | — | 28 | 2 | no | — |
| 273 | SD16 | — | 28 | 2 | no | — |
| 274 | SD16 | — | 28 | 2 | no | — |
| 275 | D8 | — | 28 | 2 | no | — |
| 276 | D8 | — | 28 | 2 | no | — |
| 277 | D8 | — | 28 | 2 | no | — |
| 278 | D8 | — | 28 | 2 | no | — |
| 279 | M16 | — | 14 | 2 | no | — |
| 280 | M16 | — | 14 | 2 | no | — |
| 281 | C2×C8 | — | 14 | 1 | no | — |
| 282 | C2×C8 | — | 14 | 1 | no | — |
| 283 | C4⋊C4 | — | 28 | 1 | no | — |
| 284 | C22⋊C4 | — | 4 | 2 | no | — |
| 285 | C22⋊C4 | — | 8 | 1 | no | — |
| 286 | C22⋊C4 | — | 28 | 2 | no | — |
| 287 | C22⋊C4 | — | 28 | 2 | no | — |
| 288 | C22⋊C4 | — | 56 | 1 | no | — |
| 289 | C42 | — | 2 | 1 | no | — |
| 290 | C42 | (C2×D7)⋊C4 | 1 | 1 | yes | characteristic |
| 291 | C42 | C2×C4×D7 | 1 | 1 | yes | characteristic |
| 292 | C2×C7 | — | 2 | 1 | no | — |
| 293 | C2×C7 | — | 2 | 1 | no | — |
| 294 | C2×C7 | — | 2 | 1 | no | — |
| 295 | C2×C7 | — | 8 | 1 | no | — |
| 296 | C2×C7 | — | 8 | 1 | no | — |
| 297 | C2×C7 | — | 8 | 1 | no | — |
| 298 | C2×C7 | — | 8 | 1 | no | — |
| 299 | C2×C7 | C2×#353 | 1 | 1 | yes | characteristic |
| 300 | D7 | — | 16 | 1 | no | — |
| 301 | C23 | — | 2 | 1 | no | — |
| 302 | C23 | — | 2 | 1 | no | — |
| 303 | C23 | — | 2 | 1 | no | — |
| 304 | C23 | — | 2 | 1 | no | — |
| 305 | C23 | — | 4 | 1 | no | — |
| 306 | C23 | — | 4 | 1 | no | — |
| 307 | C23 | — | 4 | 1 | no | — |
| 308 | C23 | — | 4 | 1 | no | — |
| 309 | C23 | — | 8 | 2 | no | — |
| 310 | C23 | — | 8 | 2 | no | — |
| 311 | C23 | — | 28 | 1 | no | — |
| 312 | C23 | #6380 | 1 | 1 | yes | characteristic |
| 313 | Q8 | — | 28 | 1 | no | — |
| 314 | Q8 | — | 28 | 1 | no | — |
| 315 | D4 | — | 4 | 1 | no | — |
| 316 | D4 | — | 4 | 1 | no | — |
| 317 | D4 | — | 4 | 1 | no | — |
| 318 | D4 | — | 4 | 1 | no | — |
| 319 | D4 | — | 8 | 1 | no | — |
| 320 | D4 | — | 8 | 1 | no | — |
| 321 | D4 | — | 8 | 2 | no | — |
| 322 | D4 | — | 8 | 2 | no | — |
| 323 | D4 | — | 8 | 2 | no | — |
| 324 | D4 | — | 8 | 2 | no | — |
| 325 | D4 | — | 28 | 1 | no | — |
| 326 | D4 | — | 28 | 1 | no | — |
| 327 | D4 | — | 56 | 2 | no | — |
| 328 | D4 | — | 56 | 1 | no | — |
| 329 | D4 | — | 56 | 1 | no | — |
| 330 | C2×C4 | — | 2 | 1 | no | — |
| 331 | C2×C4 | — | 2 | 1 | no | — |
| 332 | C2×C4 | — | 2 | 1 | no | — |
| 333 | C2×C4 | — | 2 | 1 | no | — |
| 334 | C2×C4 | — | 4 | 2 | no | — |
| 335 | C2×C4 | — | 8 | 2 | no | — |
| 336 | C2×C4 | — | 16 | 2 | no | — |
| 337 | C2×C4 | — | 28 | 1 | no | — |
| 338 | C2×C4 | — | 56 | 1 | no | — |
| 339 | C2×C4 | — | 56 | 1 | no | — |
| 340 | C2×C4 | — | 56 | 2 | no | — |
| 341 | C2×C4 | — | 112 | 2 | no | — |
| 342 | C2×C4 | #6380 | 1 | 1 | yes | characteristic |
| 343 | C2×C4 | C2×(C2×D7)⋊C4 | 1 | 1 | yes | characteristic |
| 344 | C8 | — | 14 | 2 | no | — |
| 345 | C8 | — | 14 | 2 | no | — |
| 346 | C7 | #13584 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 347 | C22 | — | 4 | 1 | no | — |
| 348 | C22 | — | 4 | 1 | no | — |
| 349 | C22 | — | 4 | 1 | no | — |
| 350 | C22 | — | 4 | 1 | no | — |
| 351 | C22 | — | 4 | 1 | no | — |
| 352 | C22 | — | 8 | 1 | no | — |
| 353 | C22 | — | 8 | 1 | no | — |
| 354 | C22 | — | 8 | 1 | no | — |
| 355 | C22 | — | 8 | 1 | no | — |
| 356 | C22 | — | 8 | 2 | no | — |
| 357 | C22 | — | 8 | 2 | no | — |
| 358 | C22 | — | 16 | 1 | no | — |
| 359 | C22 | — | 16 | 1 | no | — |
| 360 | C22 | — | 56 | 2 | no | — |
| 361 | C22 | — | 56 | 1 | no | — |
| 362 | C22 | #89269 | 1 | 1 | yes | characteristic |
| 363 | C22 | #89269 | 1 | 1 | yes | characteristic |
| 364 | C22 | C2×#6380 | 1 | 1 | yes | characteristic |
| 365 | C4 | — | 2 | 2 | no | — |
| 366 | C4 | — | 2 | 1 | no | — |
| 367 | C4 | — | 2 | 1 | no | — |
| 368 | C4 | — | 4 | 1 | no | — |
| 369 | C4 | — | 16 | 2 | no | — |
| 370 | C4 | — | 56 | 1 | no | — |
| 371 | C4 | — | 112 | 2 | no | — |
| 372 | C2 | — | 2 | 1 | no | — |
| 373 | C2 | — | 2 | 1 | no | — |
| 374 | C2 | — | 2 | 1 | no | — |
| 375 | C2 | — | 8 | 1 | no | — |
| 376 | C2 | — | 8 | 1 | no | — |
| 377 | C2 | — | 8 | 1 | no | — |
| 378 | C2 | — | 8 | 1 | no | — |
| 379 | C2 | — | 112 | 1 | no | — |
| 380 | C2 | C2×#89269 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×C7×#353 | C2 | semidirect |
| 3. C2×#89340 | C2 | semidirect |
| 4. #11725347 | C2 | semidirect |
| 5. #11725346 | C2 | semidirect |
| 9. #90168 | C4 | semidirect |
| 12. #89848 | C4 | semidirect |
| 16. #89845 | C4 | semidirect |
| 18. C4×#1136 | C4 | semidirect |
| 51. #6437 | C2×C4 | semidirect |
| 53. #6432 | C2×C4 | semidirect |
| 59. C4×C7⋊C8 | C2×C4 | semidirect |
| 60. C4×C7⋊C8 | C2×C4 | semidirect |
| 63. C2×#353 | D7 | semidirect |
| 346. C7 | #13584 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11740608 | 2 |
| C2×C7×#353 | 2 |
| C2×#89340 | 2 |
| #11725347 | 2 |
| #11725346 | 2 |
| #13584 | 7 |