Finite Group DatabasebetaFinite Group DatabasebetaOrder 18176.
1162 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 1162 conjugacy classes of subgroups — too many to draw. Only its 229 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 | #22601742 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #22590819 | C2 | 1 | 3 | yes | maximal |
| 3 | #22589694 | C2 | 1 | 3 | yes | maximal |
| 4 | #22589693 | C2 | 1 | 3 | yes | maximal |
| 5 | #22589692 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #22588071 | C2 | 1 | 3 | yes | maximal |
| 7 | C71×#2062 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #17986628 | — | 2 | 3 | no | — |
| 9 | #17986628 | — | 2 | 3 | no | — |
| 10 | #17986625 | C22 | 1 | 3 | yes | — |
| 11 | #17986551 | — | 2 | 3 | no | — |
| 12 | #17986551 | — | 2 | 3 | no | — |
| 13 | C2×#14556084 | C22 | 1 | 3 | yes | — |
| 14 | C2×#14556084 | C22 | 1 | 3 | yes | — |
| 15 | C22×C4×Dic71 | C22 | 1 | 1 | yes | characteristic |
| 16 | #17985896 | — | 2 | 3 | no | — |
| 17 | #17985894 | — | 2 | 3 | no | — |
| 18 | #17985874 | C22 | 1 | 3 | yes | — |
| 19 | #17985872 | C22 | 1 | 3 | yes | — |
| 20 | #17985871 | C22 | 1 | 3 | yes | — |
| 21 | C4⋊C4×Dic71 | — | 2 | 3 | no | — |
| 22 | #17985850 | — | 2 | 3 | no | — |
| 23 | #17985766 | C22 | 1 | 3 | yes | — |
| 24 | #17985765 | C22 | 1 | 6 | yes | — |
| 25 | #543×C71 | C22 | 1 | 1 | yes | characteristic |
| 26 | #385×C71 | C22 | 1 | 3 | yes | — |
| 27 | #342×C71 | C22 | 1 | 3 | yes | — |
| 28 | C23×Dic71 | C23 | 1 | 1 | yes | characteristic |
| 29 | C23×Dic71 | C23 | 1 | 1 | yes | characteristic |
| 30 | #14556127 | — | 2 | 3 | no | — |
| 31 | #14556127 | — | 2 | 3 | no | — |
| 32 | #14556126 | — | 2 | 3 | no | — |
| 33 | #14556126 | — | 2 | 3 | no | — |
| 34 | #14556118 | — | 2 | 6 | no | — |
| 35 | #14556118 | — | 2 | 6 | no | — |
| 36 | #14556107 | — | 2 | 3 | no | — |
| 37 | #14556107 | — | 2 | 3 | no | — |
| 38 | #14556105 | — | 2 | 6 | no | — |
| 39 | #14556105 | — | 2 | 6 | no | — |
| 40 | Q8×Dic71 | — | 2 | 1 | no | — |
| 41 | Q8×Dic71 | — | 2 | 1 | no | — |
| 42 | #14556093 | — | 2 | 3 | no | — |
| 43 | #14556093 | — | 2 | 3 | no | — |
| 44 | #14556084 | — | 2 | 6 | no | — |
| 45 | #14556084 | — | 2 | 6 | no | — |
| 46 | #14556084 | — | 2 | 6 | no | — |
| 47 | #14556084 | Q8 | 1 | 12 | yes | complemented |
| 48 | C2×C4⋊Dic71 | — | 2 | 3 | no | — |
| 49 | C2×Dic71⋊C4 | — | 2 | 3 | no | — |
| 50 | C2×Dic71⋊C4 | — | 2 | 3 | no | — |
| 51 | C2×Dic71⋊C4 | — | 2 | 3 | no | — |
| 52 | C2×Dic71⋊C4 | D4 | 1 | 3 | yes | — |
| 53 | C2×Dic71⋊C4 | D4 | 1 | 3 | yes | — |
| 54 | C2×C22⋊Dic71 | C23 | 1 | 3 | yes | — |
| 55 | C2×C22⋊Dic71 | C23 | 1 | 3 | yes | — |
| 56 | C2×C4×Dic71 | — | 2 | 3 | no | — |
| 57 | C2×C4×Dic71 | — | 2 | 3 | no | — |
| 58 | C2×C4×Dic71 | — | 2 | 3 | no | — |
| 59 | C2×C4×Dic71 | D4 | 1 | 3 | yes | — |
| 60 | C2×C4×Dic71 | D4 | 1 | 3 | yes | — |
| 61 | C71⋊#95 | — | 2 | 3 | no | — |
| 62 | C71⋊#95 | — | 2 | 3 | no | — |
| 63 | C71⋊#95 | — | 2 | 3 | no | — |
| 64 | C23×C4×C71 | C23 | 1 | 1 | yes | characteristic |
| 65 | C22⋊Q8×C71 | — | 2 | 3 | no | — |
| 66 | C22⋊Q8×C71 | — | 2 | 3 | no | — |
| 67 | C2×C4⋊C4×C71 | — | 2 | 3 | no | — |
| 68 | C2×C22⋊C4×C71 | C23 | 1 | 3 | yes | — |
| 69 | C2×C22⋊C4×C71 | C23 | 1 | 3 | yes | — |
| 70 | #95×C71 | — | 2 | 3 | no | — |
| 71 | C2×Dic142 | — | 2 | 3 | no | — |
| 72 | C2×Dic142 | — | 2 | 3 | no | — |
| 73 | C22×Dic71 | — | 2 | 3 | no | — |
| 74 | C22×Dic71 | — | 2 | 3 | no | — |
| 75 | C22×Dic71 | — | 4 | 2 | no | — |
| 76 | C22×Dic71 | C2×D4 | 1 | 3 | yes | — |
| 77 | C22×Dic71 | C2×D4 | 1 | 3 | yes | — |
| 78 | C22×Dic71 | C2×D4 | 1 | 3 | yes | — |
| 79 | C22×Dic71 | C2×D4 | 1 | 3 | yes | — |
| 80 | C22×Dic71 | C2×Q8 | 1 | 6 | yes | — |
| 81 | C22×Dic71 | #41 | 1 | 2 | yes | — |
| 82 | C4⋊Dic71 | — | 2 | 3 | no | — |
| 83 | C4⋊Dic71 | — | 2 | 3 | no | — |
| 84 | C4⋊Dic71 | — | 4 | 6 | no | — |
| 85 | Dic71⋊C4 | — | 2 | 6 | no | — |
| 86 | Dic71⋊C4 | — | 2 | 6 | no | — |
| 87 | Dic71⋊C4 | — | 2 | 6 | no | — |
| 88 | Dic71⋊C4 | — | 2 | 6 | no | — |
| 89 | Dic71⋊C4 | — | 2 | 12 | no | — |
| 90 | Dic71⋊C4 | — | 4 | 6 | no | — |
| 91 | Dic71⋊C4 | — | 4 | 6 | no | — |
| 92 | C22⋊Dic71 | — | 2 | 6 | no | — |
| 93 | C22⋊Dic71 | — | 2 | 3 | no | — |
| 94 | C22⋊Dic71 | C2×Q8 | 1 | 6 | yes | — |
| 95 | C4×Dic71 | — | 2 | 3 | no | — |
| 96 | C4×Dic71 | — | 2 | 3 | no | — |
| 97 | C4×Dic71 | — | 2 | 3 | no | — |
| 98 | C4×Dic71 | — | 2 | 3 | no | — |
| 99 | C4×Dic71 | — | 2 | 12 | no | — |
| 100 | C4×Dic71 | — | 4 | 1 | no | — |
| 101 | C4×Dic71 | — | 4 | 3 | no | — |
| 102 | C24×C71 | C24 | 1 | 1 | yes | characteristic |
| 103 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 104 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 105 | C22×C4×C71 | — | 2 | 3 | no | — |
| 106 | C22×C4×C71 | — | 2 | 3 | no | — |
| 107 | C22×C4×C71 | — | 4 | 2 | no | — |
| 108 | C22×C4×C71 | C2×D4 | 1 | 3 | yes | — |
| 109 | C22×C4×C71 | C2×D4 | 1 | 3 | yes | — |
| 110 | C4⋊C4×C71 | — | 2 | 3 | no | — |
| 111 | C4⋊C4×C71 | — | 2 | 3 | no | — |
| 112 | C4⋊C4×C71 | — | 4 | 6 | no | — |
| 113 | C22⋊C4×C71 | — | 2 | 6 | no | — |
| 114 | C22⋊C4×C71 | — | 2 | 3 | no | — |
| 115 | C22⋊C4×C71 | C2×Q8 | 1 | 6 | yes | — |
| 116 | C23×C71 | — | 4 | 1 | no | — |
| 117 | C23×C71 | — | 4 | 1 | no | — |
| 118 | C23×C71 | C22×D4 | 1 | 3 | yes | — |
| 119 | C23×C71 | C22×Q8 | 1 | 3 | yes | — |
| 120 | C23×C71 | C2×#41 | 1 | 1 | yes | characteristic |
| 121 | Q8×C71 | — | 8 | 1 | no | — |
| 122 | Q8×C71 | — | 8 | 1 | no | — |
| 123 | C2×C4×C71 | — | 2 | 6 | no | — |
| 124 | C2×C4×C71 | — | 2 | 3 | no | — |
| 125 | C2×C4×C71 | — | 2 | 3 | no | — |
| 126 | C2×C4×C71 | — | 2 | 6 | no | — |
| 127 | C2×C4×C71 | — | 4 | 3 | no | — |
| 128 | C2×C4×C71 | — | 4 | 3 | no | — |
| 129 | C2×C4×C71 | — | 4 | 3 | no | — |
| 130 | C2×C4×C71 | — | 4 | 1 | no | — |
| 131 | C2×C4×C71 | — | 4 | 3 | no | — |
| 132 | C2×C4×C71 | — | 4 | 3 | no | — |
| 133 | C2×Dic71 | — | 2 | 6 | no | — |
| 134 | C2×Dic71 | — | 2 | 3 | no | — |
| 135 | C2×Dic71 | — | 2 | 3 | no | — |
| 136 | C2×Dic71 | — | 2 | 6 | no | — |
| 137 | C2×Dic71 | — | 4 | 3 | no | — |
| 138 | C2×Dic71 | — | 4 | 3 | no | — |
| 139 | C2×Dic71 | — | 4 | 3 | no | — |
| 140 | C2×Dic71 | — | 4 | 1 | no | — |
| 141 | C2×Dic71 | — | 4 | 3 | no | — |
| 142 | C2×Dic71 | — | 4 | 3 | no | — |
| 143 | C2×Dic71 | #120 | 1 | 1 | yes | characteristic |
| 144 | C2×Dic71 | #120 | 1 | 3 | yes | — |
| 145 | C2×Dic71 | C22⋊Q8 | 1 | 6 | yes | — |
| 146 | C2×Dic71 | C22⋊Q8 | 1 | 6 | yes | — |
| 147 | C2×Dic71 | C4⋊Q8 | 1 | 6 | yes | — |
| 148 | C2×Dic71 | C4⋊Q8 | 1 | 6 | yes | — |
| 149 | Dic142 | — | 8 | 3 | no | — |
| 150 | Dic142 | — | 8 | 3 | no | — |
| 151 | C22×C71 | — | 2 | 3 | no | — |
| 152 | C22×C71 | — | 2 | 3 | no | — |
| 153 | C22×C71 | — | 4 | 3 | no | — |
| 154 | C22×C71 | — | 4 | 1 | no | — |
| 155 | C22×C71 | C2×#120 | 1 | 1 | yes | characteristic |
| 156 | C22×C71 | C2×C22⋊Q8 | 1 | 3 | yes | — |
| 157 | C22×C71 | C2×C4⋊Q8 | 1 | 3 | yes | — |
| 158 | C4×C71 | — | 4 | 6 | no | — |
| 159 | C4×C71 | — | 4 | 3 | no | — |
| 160 | C4×C71 | — | 4 | 3 | no | — |
| 161 | C4×C71 | — | 4 | 2 | no | — |
| 162 | Dic71 | — | 4 | 6 | no | — |
| 163 | Dic71 | — | 4 | 3 | no | — |
| 164 | Dic71 | — | 4 | 3 | no | — |
| 165 | Dic71 | — | 4 | 2 | no | — |
| 166 | Dic71 | #395 | 1 | 2 | yes | — |
| 167 | Dic71 | #395 | 1 | 6 | yes | — |
| 168 | #23564 | — | 71 | 1 | no | maximal, Sylow |
| 169 | C2×C71 | — | 2 | 3 | no | — |
| 170 | C2×C71 | — | 2 | 3 | no | — |
| 171 | C2×C71 | C2×#395 | 1 | 1 | yes | characteristic |
| 172 | C2×C71 | #3025 | 1 | 1 | yes | characteristic |
| 173 | C2×C71 | #3025 | 1 | 1 | yes | characteristic |
| 174 | #3458 | — | 71 | 1 | no | — |
| 175 | #2296 | — | 71 | 3 | no | — |
| 176 | #2062 | — | 71 | 3 | no | — |
| 177 | #2062 | — | 71 | 3 | no | — |
| 178 | #2062 | — | 71 | 1 | no | — |
| 179 | #2062 | D71 | 1 | 1 | yes | characteristic |
| 180 | #1740 | — | 71 | 3 | no | — |
| 181 | C71 | #23564 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 182 | #544 | — | 142 | 3 | no | — |
| 183 | #544 | — | 142 | 3 | no | — |
| 184 | #543 | — | 71 | 3 | no | — |
| 185 | #543 | C2×D71 | 1 | 1 | yes | characteristic |
| 186 | #533 | — | 142 | 3 | no | — |
| 187 | #533 | — | 142 | 3 | no | — |
| 188 | C2×#117 | — | 71 | 3 | no | — |
| 189 | C2×#117 | — | 71 | 3 | no | — |
| 190 | C22×C42 | — | 71 | 1 | no | — |
| 191 | #389 | — | 142 | 3 | no | — |
| 192 | #389 | — | 142 | 3 | no | — |
| 193 | #385 | — | 71 | 3 | no | — |
| 194 | #385 | — | 71 | 3 | no | — |
| 195 | #385 | — | 71 | 3 | no | — |
| 196 | #385 | C2×D71 | 1 | 3 | yes | — |
| 197 | C4×C4⋊C4 | — | 142 | 3 | no | — |
| 198 | C4×C4⋊C4 | — | 142 | 3 | no | — |
| 199 | #342 | — | 71 | 6 | no | — |
| 200 | #342 | — | 71 | 3 | no | — |
| 201 | #342 | C2×D71 | 1 | 3 | yes | — |
| 202 | C23×C4 | — | 71 | 1 | no | — |
| 203 | C23×C4 | — | 71 | 1 | no | — |
| 204 | C23×C4 | C22×D71 | 1 | 1 | yes | characteristic |
| 205 | C4⋊Q8 | — | 142 | 3 | no | — |
| 206 | C4⋊Q8 | — | 142 | 3 | no | — |
| 207 | C4⋊Q8 | — | 142 | 3 | no | — |
| 208 | C4⋊Q8 | — | 142 | 3 | no | — |
| 209 | #125 | — | 142 | 6 | no | — |
| 210 | #125 | — | 142 | 6 | no | — |
| 211 | C22⋊Q8 | — | 2 | 3 | no | — |
| 212 | C22⋊Q8 | — | 2 | 3 | no | — |
| 213 | C22⋊Q8 | — | 142 | 6 | no | — |
| 214 | C22⋊Q8 | — | 142 | 6 | no | — |
| 215 | C22⋊Q8 | — | 142 | 3 | no | — |
| 216 | C22⋊Q8 | — | 142 | 3 | no | — |
| 217 | C4×Q8 | — | 142 | 3 | no | — |
| 218 | C4×Q8 | — | 142 | 3 | no | — |
| 219 | C4×Q8 | — | 142 | 1 | no | — |
| 220 | C4×Q8 | — | 142 | 1 | no | — |
| 221 | #117 | — | 71 | 12 | no | — |
| 222 | #117 | — | 142 | 6 | no | — |
| 223 | #117 | — | 142 | 6 | no | — |
| 224 | #117 | — | 142 | 6 | no | — |
| 225 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 226 | C2×C4⋊C4 | — | 71 | 3 | no | — |
| 227 | C2×C4⋊C4 | — | 71 | 3 | no | — |
| 228 | C2×C4⋊C4 | — | 142 | 3 | no | — |
| 229 | C2×C4⋊C4 | — | 142 | 3 | no | — |
| 230 | C2×C4⋊C4 | — | 142 | 3 | no | — |
| 231 | C2×C4⋊C4 | — | 142 | 3 | no | — |
| 232 | C2×C22⋊C4 | — | 71 | 3 | no | — |
| 233 | C2×C22⋊C4 | — | 71 | 3 | no | — |
| 234 | C2×C22⋊C4 | C22×D71 | 1 | 3 | yes | — |
| 235 | C2×C22⋊C4 | C22×D71 | 1 | 3 | yes | — |
| 236 | C2×C42 | — | 71 | 3 | no | — |
| 237 | C2×C42 | — | 71 | 3 | no | — |
| 238 | C2×C42 | — | 142 | 3 | no | — |
| 239 | C2×C42 | — | 142 | 3 | no | — |
| 240 | C2×C42 | — | 142 | 3 | no | — |
| 241 | #95 | — | 2 | 3 | no | — |
| 242 | #95 | — | 142 | 3 | no | — |
| 243 | #95 | — | 142 | 3 | no | — |
| 244 | #95 | — | 142 | 3 | no | — |
| 245 | C24 | C23×D71 | 1 | 1 | yes | characteristic |
| 246 | C2×Q8 | — | 2 | 1 | no | — |
| 247 | C2×Q8 | — | 2 | 1 | no | — |
| 248 | C2×Q8 | — | 142 | 3 | no | — |
| 249 | C2×Q8 | — | 142 | 3 | no | — |
| 250 | C22×C4 | — | 2 | 3 | no | — |
| 251 | C22×C4 | — | 2 | 3 | no | — |
| 252 | C22×C4 | — | 4 | 2 | no | — |
| 253 | C22×C4 | — | 284 | 2 | no | — |
| 254 | C22×C4 | — | 71 | 3 | no | — |
| 255 | C22×C4 | — | 71 | 3 | no | — |
| 256 | C22×C4 | — | 71 | 3 | no | — |
| 257 | C22×C4 | — | 71 | 3 | no | — |
| 258 | C22×C4 | — | 71 | 6 | no | — |
| 259 | C22×C4 | — | 71 | 2 | no | — |
| 260 | C22×C4 | — | 142 | 3 | no | — |
| 261 | C22×C4 | — | 142 | 3 | no | — |
| 262 | C22×C4 | D4×D71 | 1 | 3 | yes | — |
| 263 | C22×C4 | D4×D71 | 1 | 3 | yes | — |
| 264 | C4⋊C4 | — | 2 | 3 | no | — |
| 265 | C4⋊C4 | — | 2 | 3 | no | — |
| 266 | C4⋊C4 | — | 4 | 6 | no | — |
| 267 | C4⋊C4 | — | 284 | 6 | no | — |
| 268 | C4⋊C4 | — | 284 | 6 | no | — |
| 269 | C4⋊C4 | — | 284 | 6 | no | — |
| 270 | C4⋊C4 | — | 142 | 6 | no | — |
| 271 | C4⋊C4 | — | 142 | 6 | no | — |
| 272 | C4⋊C4 | — | 142 | 12 | no | — |
| 273 | C4⋊C4 | — | 142 | 6 | no | — |
| 274 | C4⋊C4 | — | 142 | 6 | no | — |
| 275 | C4⋊C4 | — | 142 | 3 | no | — |
| 276 | C4⋊C4 | — | 142 | 3 | no | — |
| 277 | C22⋊C4 | — | 2 | 6 | no | — |
| 278 | C22⋊C4 | — | 2 | 3 | no | — |
| 279 | C22⋊C4 | — | 71 | 6 | no | — |
| 280 | C22⋊C4 | — | 142 | 6 | no | — |
| 281 | C22⋊C4 | — | 142 | 3 | no | — |
| 282 | C22⋊C4 | Q8×D71 | 1 | 6 | yes | — |
| 283 | C42 | — | 284 | 1 | no | — |
| 284 | C42 | — | 284 | 3 | no | — |
| 285 | C42 | — | 142 | 3 | no | — |
| 286 | C42 | — | 142 | 3 | no | — |
| 287 | C42 | — | 142 | 3 | no | — |
| 288 | C42 | — | 142 | 3 | no | — |
| 289 | C42 | — | 142 | 12 | no | — |
| 290 | C23 | — | 4 | 1 | no | — |
| 291 | C23 | — | 4 | 1 | no | — |
| 292 | C23 | C2×D4×D71 | 1 | 3 | yes | — |
| 293 | C23 | C2×Q8×D71 | 1 | 3 | yes | — |
| 294 | C23 | #41×D71 | 1 | 1 | yes | characteristic |
| 295 | Q8 | — | 8 | 1 | no | — |
| 296 | Q8 | — | 8 | 1 | no | — |
| 297 | Q8 | — | 568 | 3 | no | — |
| 298 | Q8 | — | 568 | 3 | no | — |
| 299 | C2×C4 | — | 2 | 6 | no | — |
| 300 | C2×C4 | — | 2 | 3 | no | — |
| 301 | C2×C4 | — | 2 | 3 | no | — |
| 302 | C2×C4 | — | 2 | 6 | no | — |
| 303 | C2×C4 | — | 4 | 3 | no | — |
| 304 | C2×C4 | — | 4 | 3 | no | — |
| 305 | C2×C4 | — | 4 | 3 | no | — |
| 306 | C2×C4 | — | 4 | 1 | no | — |
| 307 | C2×C4 | — | 4 | 3 | no | — |
| 308 | C2×C4 | — | 4 | 3 | no | — |
| 309 | C2×C4 | — | 284 | 3 | no | — |
| 310 | C2×C4 | — | 284 | 3 | no | — |
| 311 | C2×C4 | — | 284 | 3 | no | — |
| 312 | C2×C4 | — | 284 | 1 | no | — |
| 313 | C2×C4 | — | 284 | 3 | no | — |
| 314 | C2×C4 | — | 284 | 3 | no | — |
| 315 | C2×C4 | — | 71 | 1 | no | — |
| 316 | C2×C4 | — | 71 | 3 | no | — |
| 317 | C2×C4 | — | 71 | 6 | no | — |
| 318 | C2×C4 | — | 71 | 6 | no | — |
| 319 | C2×C4 | — | 71 | 6 | no | — |
| 320 | C2×C4 | — | 71 | 6 | no | — |
| 321 | C2×C4 | — | 142 | 6 | no | — |
| 322 | C2×C4 | — | 142 | 3 | no | — |
| 323 | C2×C4 | — | 142 | 3 | no | — |
| 324 | C2×C4 | — | 142 | 6 | no | — |
| 325 | C22 | — | 2 | 3 | no | — |
| 326 | C22 | — | 2 | 3 | no | — |
| 327 | C22 | — | 4 | 3 | no | — |
| 328 | C22 | — | 4 | 1 | no | — |
| 329 | C22 | #120×D71 | 1 | 1 | yes | characteristic |
| 330 | C22 | C22⋊Q8×D71 | 1 | 3 | yes | — |
| 331 | C22 | C4⋊Q8×D71 | 1 | 3 | yes | — |
| 332 | C4 | — | 4 | 6 | no | — |
| 333 | C4 | — | 4 | 2 | no | — |
| 334 | C4 | — | 4 | 3 | no | — |
| 335 | C4 | — | 4 | 3 | no | — |
| 336 | C4 | — | 284 | 6 | no | — |
| 337 | C4 | — | 284 | 3 | no | — |
| 338 | C4 | — | 284 | 2 | no | — |
| 339 | C4 | — | 284 | 3 | no | — |
| 340 | C4 | — | 71 | 2 | no | — |
| 341 | C4 | — | 71 | 6 | no | — |
| 342 | C2 | — | 2 | 3 | no | — |
| 343 | C2 | — | 2 | 3 | no | — |
| 344 | C2 | #395×D71 | 1 | 1 | yes | characteristic |
| 345 | C2 | #22597730 | 1 | 1 | yes | characteristic |
| 346 | C2 | #22597733 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 47. #14556084 | Q8 | semidirect |
| 181. C71 | #23564 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22601742 | 2 |
| #22590819 | 2 |
| #22589694 | 2 |
| #22589693 | 2 |
| #22589692 | 2 |
| #22588071 | 2 |
| C71×#2062 | 2 |
| #23564 | 71 |