Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
514 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 64 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 | C2×#17989495 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#17989442 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22625052 | C2 | 1 | 4 | yes | maximal, direct product factor |
| 4 | C2×#17988765 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C2×#14556652 | — | 2 | 1 | no | — |
| 6 | C2×#14556646 | — | 2 | 1 | no | — |
| 7 | #17989495 | — | 2 | 1 | no | — |
| 8 | #17989495 | C22 | 1 | 2 | yes | complemented |
| 9 | #17989442 | — | 2 | 1 | no | — |
| 10 | #17989442 | C22 | 1 | 2 | yes | complemented |
| 11 | C2×#14556621 | — | 2 | 1 | no | — |
| 12 | C2×#14556578 | C22 | 1 | 1 | yes | characteristic |
| 13 | #17988765 | — | 2 | 1 | no | — |
| 14 | #17988765 | — | 2 | 1 | no | — |
| 15 | #17988765 | C4 | 1 | 2 | yes | — |
| 16 | #17988765 | C22 | 1 | 2 | yes | — |
| 17 | C2×#14556518 | — | 2 | 1 | no | — |
| 18 | C2×#14556508 | C4 | 1 | 1 | yes | characteristic |
| 19 | C2×H(5,𝔽2)×C73 | C4 | 1 | 1 | yes | characteristic |
| 20 | C2×#11924037 | — | 4 | 1 | no | — |
| 21 | C22×#10596833 | — | 4 | 1 | no | — |
| 22 | #14556652 | — | 2 | 2 | no | — |
| 23 | #14556652 | — | 4 | 1 | no | — |
| 24 | #14556646 | — | 2 | 2 | no | — |
| 25 | #14556646 | — | 4 | 1 | no | — |
| 26 | C22×Dic146 | D4 | 1 | 1 | yes | characteristic |
| 27 | #14556621 | — | 2 | 2 | no | — |
| 28 | #14556621 | — | 2 | 2 | no | — |
| 29 | #14556621 | — | 4 | 2 | no | — |
| 30 | C2×#11924018 | — | 4 | 1 | no | — |
| 31 | C2×#11924016 | — | 4 | 1 | no | — |
| 32 | C2×#11924012 | — | 2 | 1 | no | — |
| 33 | #14556578 | — | 4 | 1 | no | — |
| 34 | #14556578 | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | #14556578 | D4 | 1 | 1 | yes | characteristic |
| 36 | #14556578 | D4 | 1 | 1 | yes | characteristic |
| 37 | #14556578 | C23 | 1 | 1 | yes | characteristic |
| 38 | C2×C22⋊Dic73 | — | 4 | 1 | no | — |
| 39 | C2×C4×Dic73 | D4 | 1 | 1 | yes | characteristic |
| 40 | #14556518 | — | 2 | 2 | no | — |
| 41 | #14556518 | — | 2 | 2 | no | — |
| 42 | #14556508 | — | 2 | 1 | no | — |
| 43 | #14556508 | C2×C4 | 1 | 2 | yes | — |
| 44 | H(5,𝔽2)×C73 | — | 2 | 1 | no | — |
| 45 | H(5,𝔽2)×C73 | — | 4 | 1 | no | — |
| 46 | H(5,𝔽2)×C73 | — | 4 | 2 | no | — |
| 47 | H(5,𝔽2)×C73 | C2×C4 | 1 | 2 | yes | — |
| 48 | C2×#41×C73 | — | 2 | 1 | no | — |
| 49 | C2×#41×C73 | — | 4 | 1 | no | — |
| 50 | C22×D4×C73 | — | 4 | 1 | no | — |
| 51 | C22×D4×C73 | — | 4 | 1 | no | — |
| 52 | C22×D4×C73 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | #11924037 | — | 4 | 2 | no | — |
| 54 | #11924037 | — | 8 | 1 | no | — |
| 55 | C2×#10596833 | — | 4 | 2 | no | — |
| 56 | C2×#10596833 | — | 4 | 4 | no | — |
| 57 | C2×#10596833 | — | 8 | 1 | no | — |
| 58 | C2×Dic146 | — | 2 | 1 | no | — |
| 59 | C2×Dic146 | — | 4 | 1 | no | — |
| 60 | C2×Dic146 | — | 4 | 1 | no | — |
| 61 | C2×Dic146 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 62 | C2×Dic146 | C2×D4 | 1 | 1 | yes | characteristic |
| 63 | C22×Dic73 | — | 2 | 1 | no | — |
| 64 | C22×Dic73 | — | 2 | 1 | no | — |
| 65 | #11924018 | — | 4 | 2 | no | — |
| 66 | #11924018 | — | 4 | 2 | no | — |
| 67 | #11924016 | — | 4 | 2 | no | — |
| 68 | #11924016 | — | 4 | 2 | no | — |
| 69 | #11924012 | — | 2 | 2 | no | — |
| 70 | #11924012 | — | 4 | 1 | no | — |
| 71 | C2×#10596831 | — | 4 | 1 | no | — |
| 72 | C22⋊Dic73 | — | 4 | 1 | no | — |
| 73 | C22⋊Dic73 | — | 4 | 1 | no | — |
| 74 | C22⋊Dic73 | — | 4 | 1 | no | — |
| 75 | C22⋊Dic73 | — | 4 | 1 | no | — |
| 76 | C4×Dic73 | — | 2 | 1 | no | — |
| 77 | C4×Dic73 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 78 | C4×Dic73 | C2×D4 | 1 | 1 | yes | characteristic |
| 79 | C24×C73 | — | 2 | 1 | no | — |
| 80 | C24×C73 | — | 4 | 1 | no | — |
| 81 | #41×C73 | — | 2 | 2 | no | — |
| 82 | #41×C73 | — | 2 | 2 | no | — |
| 83 | #41×C73 | — | 4 | 1 | no | — |
| 84 | #41×C73 | — | 4 | 2 | no | — |
| 85 | #41×C73 | — | 4 | 4 | no | — |
| 86 | #41×C73 | — | 4 | 1 | no | — |
| 87 | #41×C73 | — | 4 | 2 | no | — |
| 88 | C2×Q8×C73 | — | 2 | 1 | no | — |
| 89 | C2×D4×C73 | — | 2 | 1 | no | — |
| 90 | C2×D4×C73 | — | 2 | 1 | no | — |
| 91 | C2×D4×C73 | — | 4 | 1 | no | — |
| 92 | C2×D4×C73 | — | 4 | 1 | no | — |
| 93 | C2×D4×C73 | — | 4 | 2 | no | — |
| 94 | C2×D4×C73 | — | 4 | 2 | no | — |
| 95 | C2×D4×C73 | — | 4 | 2 | no | — |
| 96 | C2×D4×C73 | — | 4 | 2 | no | — |
| 97 | C2×D4×C73 | — | 4 | 4 | no | — |
| 98 | C2×D4×C73 | — | 4 | 2 | no | — |
| 99 | C2×D4×C73 | — | 4 | 1 | no | — |
| 100 | C2×D4×C73 | — | 4 | 2 | no | — |
| 101 | C2×D4×C73 | — | 4 | 2 | no | — |
| 102 | C2×D4×C73 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 103 | C2×D4×C73 | C22×C4 | 1 | 1 | yes | characteristic |
| 104 | C22×C4×C73 | — | 4 | 1 | no | — |
| 105 | C22×C4×C73 | — | 4 | 1 | no | — |
| 106 | C22×C4×C73 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 107 | C23×C73 | — | 2 | 1 | no | — |
| 108 | C23×C73 | — | 2 | 1 | no | — |
| 109 | C23×C73 | — | 4 | 2 | no | — |
| 110 | C23×C73 | — | 4 | 1 | no | — |
| 111 | C23×C73 | — | 4 | 1 | no | — |
| 112 | C23×C73 | — | 4 | 2 | no | — |
| 113 | C23×C73 | — | 4 | 1 | no | — |
| 114 | C23×C73 | — | 8 | 2 | no | — |
| 115 | C23×C73 | — | 16 | 2 | no | — |
| 116 | C23×C73 | #99 | 1 | 1 | yes | characteristic |
| 117 | Q8×C73 | — | 2 | 2 | no | — |
| 118 | Q8×C73 | — | 4 | 1 | no | — |
| 119 | D4×C73 | — | 2 | 2 | no | — |
| 120 | D4×C73 | — | 4 | 1 | no | — |
| 121 | D4×C73 | — | 4 | 1 | no | — |
| 122 | D4×C73 | — | 4 | 1 | no | — |
| 123 | D4×C73 | — | 4 | 2 | no | — |
| 124 | D4×C73 | — | 4 | 4 | no | — |
| 125 | D4×C73 | — | 4 | 4 | no | — |
| 126 | D4×C73 | — | 4 | 2 | no | — |
| 127 | D4×C73 | — | 4 | 2 | no | — |
| 128 | C2×C4×C73 | — | 2 | 1 | no | — |
| 129 | C2×C4×C73 | — | 2 | 1 | no | — |
| 130 | C2×C4×C73 | — | 4 | 2 | no | — |
| 131 | C2×C4×C73 | — | 4 | 2 | no | — |
| 132 | C2×C4×C73 | — | 4 | 2 | no | — |
| 133 | C2×C4×C73 | — | 4 | 1 | no | — |
| 134 | C2×C4×C73 | — | 4 | 2 | no | — |
| 135 | C2×C4×C73 | #99 | 1 | 1 | yes | characteristic |
| 136 | C2×C4×C73 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 137 | C2×Dic73 | — | 2 | 1 | no | — |
| 138 | C2×Dic73 | — | 2 | 1 | no | — |
| 139 | C2×Dic73 | — | 2 | 1 | no | — |
| 140 | C2×Dic73 | — | 2 | 1 | no | — |
| 141 | C2×Dic73 | — | 4 | 2 | no | — |
| 142 | C2×Dic73 | — | 4 | 1 | no | — |
| 143 | C2×Dic73 | — | 4 | 1 | no | — |
| 144 | Dic146 | — | 4 | 1 | no | — |
| 145 | Dic146 | — | 4 | 1 | no | — |
| 146 | Dic146 | — | 8 | 1 | no | — |
| 147 | #10596833 | — | 4 | 4 | no | — |
| 148 | #10596833 | — | 8 | 2 | no | — |
| 149 | #10596831 | — | 4 | 2 | no | — |
| 150 | C22×C73 | — | 2 | 2 | no | — |
| 151 | C22×C73 | — | 4 | 2 | no | — |
| 152 | C22×C73 | — | 4 | 1 | no | — |
| 153 | C22×C73 | — | 4 | 1 | no | — |
| 154 | C22×C73 | — | 8 | 1 | no | — |
| 155 | C22×C73 | — | 8 | 1 | no | — |
| 156 | C22×C73 | — | 8 | 2 | no | — |
| 157 | C22×C73 | — | 8 | 2 | no | — |
| 158 | C22×C73 | — | 16 | 1 | no | — |
| 159 | C22×C73 | — | 16 | 2 | no | — |
| 160 | C22×C73 | — | 16 | 2 | no | — |
| 161 | C22×C73 | AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 162 | C22×C73 | AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 163 | C22×C73 | C2×#99 | 1 | 1 | yes | characteristic |
| 164 | C4×C73 | — | 2 | 1 | no | — |
| 165 | C4×C73 | — | 2 | 1 | no | — |
| 166 | C4×C73 | — | 4 | 2 | no | — |
| 167 | Dic73 | — | 4 | 1 | no | — |
| 168 | Dic73 | — | 4 | 1 | no | — |
| 169 | Dic73 | — | 4 | 1 | no | — |
| 170 | Dic73 | — | 4 | 1 | no | — |
| 171 | C2×#1403 | — | 73 | 1 | no | maximal, Sylow |
| 172 | C2×C73 | — | 2 | 1 | no | — |
| 173 | C2×C73 | — | 2 | 1 | no | — |
| 174 | C2×C73 | — | 8 | 1 | no | — |
| 175 | C2×C73 | — | 8 | 1 | no | — |
| 176 | C2×C73 | — | 8 | 2 | no | — |
| 177 | C2×C73 | #1403 | 1 | 2 | yes | complemented |
| 178 | C2×C73 | C2×AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 179 | C2×#455 | — | 73 | 1 | no | — |
| 180 | C2×#355 | — | 73 | 1 | no | — |
| 181 | C2×#329 | — | 73 | 1 | no | — |
| 182 | #1403 | — | 73 | 4 | no | — |
| 183 | C73 | C2×#1403 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 184 | C2×H(5,𝔽2) | #64408 | 1 | 1 | yes | characteristic |
| 185 | C2×#137 | — | 146 | 1 | no | — |
| 186 | C2×#124 | — | 73 | 1 | no | — |
| 187 | #455 | — | 73 | 2 | no | — |
| 188 | #455 | — | 73 | 2 | no | — |
| 189 | #455 | — | 146 | 1 | no | — |
| 190 | #455 | — | 146 | 1 | no | — |
| 191 | C2×#104 | — | 146 | 1 | no | — |
| 192 | C2×#101 | — | 146 | 1 | no | — |
| 193 | C2×#100 | — | 73 | 1 | no | — |
| 194 | C2×#97 | — | 146 | 1 | no | — |
| 195 | #355 | — | 73 | 2 | no | — |
| 196 | #355 | — | 146 | 1 | no | — |
| 197 | #329 | — | 73 | 2 | no | — |
| 198 | #329 | — | 146 | 1 | no | — |
| 199 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 200 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 201 | H(5,𝔽2) | — | 4 | 2 | no | — |
| 202 | H(5,𝔽2) | C2×#64408 | 1 | 2 | yes | — |
| 203 | C2×#41 | — | 2 | 1 | no | — |
| 204 | C2×#41 | — | 4 | 1 | no | — |
| 205 | C22×Q8 | — | 73 | 1 | no | — |
| 206 | C22×D4 | — | 4 | 1 | no | — |
| 207 | C22×D4 | — | 4 | 1 | no | — |
| 208 | C22×D4 | C2×#64408 | 1 | 1 | yes | characteristic |
| 209 | #137 | — | 292 | 2 | no | — |
| 210 | #137 | — | 146 | 2 | no | — |
| 211 | #137 | — | 146 | 2 | no | — |
| 212 | C2×Q16 | — | 292 | 1 | no | — |
| 213 | C2×SD16 | — | 292 | 1 | no | — |
| 214 | C2×M16 | — | 292 | 1 | no | — |
| 215 | C2×M16 | — | 146 | 1 | no | — |
| 216 | C22×C8 | — | 292 | 1 | no | — |
| 217 | #124 | — | 292 | 1 | no | — |
| 218 | #124 | — | 73 | 1 | no | — |
| 219 | #124 | — | 73 | 1 | no | — |
| 220 | #124 | — | 73 | 1 | no | — |
| 221 | #124 | — | 73 | 1 | no | — |
| 222 | C2×C22⋊C4 | — | 292 | 1 | no | — |
| 223 | C2×C42 | — | 73 | 1 | no | — |
| 224 | #104 | — | 146 | 2 | no | — |
| 225 | #104 | — | 146 | 2 | no | — |
| 226 | #101 | — | 292 | 1 | no | — |
| 227 | #101 | — | 146 | 2 | no | — |
| 228 | #100 | — | 73 | 2 | no | — |
| 229 | #100 | — | 146 | 1 | no | — |
| 230 | #97 | — | 292 | 1 | no | — |
| 231 | #97 | — | 146 | 2 | no | — |
| 232 | C24 | — | 2 | 1 | no | — |
| 233 | C24 | — | 4 | 1 | no | — |
| 234 | #41 | — | 2 | 2 | no | — |
| 235 | #41 | — | 2 | 2 | no | — |
| 236 | #41 | — | 4 | 1 | no | — |
| 237 | #41 | — | 4 | 2 | no | — |
| 238 | #41 | — | 4 | 4 | no | — |
| 239 | #41 | — | 4 | 1 | no | — |
| 240 | #41 | — | 4 | 2 | no | — |
| 241 | C2×Q8 | — | 2 | 1 | no | — |
| 242 | C2×Q8 | — | 292 | 1 | no | — |
| 243 | C2×Q8 | — | 292 | 1 | no | — |
| 244 | C2×Q8 | — | 73 | 1 | no | — |
| 245 | C2×Q8 | — | 73 | 1 | no | — |
| 246 | C2×Q8 | — | 146 | 1 | no | — |
| 247 | C2×D4 | — | 2 | 1 | no | — |
| 248 | C2×D4 | — | 2 | 1 | no | — |
| 249 | C2×D4 | — | 4 | 1 | no | — |
| 250 | C2×D4 | — | 4 | 1 | no | — |
| 251 | C2×D4 | — | 4 | 2 | no | — |
| 252 | C2×D4 | — | 4 | 2 | no | — |
| 253 | C2×D4 | — | 4 | 2 | no | — |
| 254 | C2×D4 | — | 4 | 2 | no | — |
| 255 | C2×D4 | — | 4 | 4 | no | — |
| 256 | C2×D4 | — | 4 | 2 | no | — |
| 257 | C2×D4 | — | 4 | 1 | no | — |
| 258 | C2×D4 | — | 4 | 2 | no | — |
| 259 | C2×D4 | — | 4 | 2 | no | — |
| 260 | C2×D4 | C22⋊#64408 | 1 | 1 | yes | characteristic |
| 261 | C2×D4 | C22×#64408 | 1 | 1 | yes | characteristic |
| 262 | C22×C4 | — | 4 | 1 | no | — |
| 263 | C22×C4 | — | 4 | 1 | no | — |
| 264 | C22×C4 | — | 146 | 1 | no | — |
| 265 | C22×C4 | — | 146 | 1 | no | — |
| 266 | C22×C4 | C22⋊#64408 | 1 | 1 | yes | characteristic |
| 267 | Q16 | — | 292 | 2 | no | — |
| 268 | Q16 | — | 292 | 2 | no | — |
| 269 | SD16 | — | 292 | 2 | no | — |
| 270 | SD16 | — | 292 | 2 | no | — |
| 271 | M16 | — | 292 | 1 | no | — |
| 272 | M16 | — | 292 | 2 | no | — |
| 273 | M16 | — | 584 | 1 | no | — |
| 274 | M16 | — | 146 | 2 | no | — |
| 275 | C2×C8 | — | 292 | 1 | no | — |
| 276 | C2×C8 | — | 292 | 4 | no | — |
| 277 | C2×C8 | — | 292 | 2 | no | — |
| 278 | C2×C8 | — | 584 | 1 | no | — |
| 279 | C22⋊C4 | — | 292 | 1 | no | — |
| 280 | C22⋊C4 | — | 292 | 1 | no | — |
| 281 | C22⋊C4 | — | 292 | 1 | no | — |
| 282 | C22⋊C4 | — | 292 | 1 | no | — |
| 283 | C42 | — | 73 | 1 | no | — |
| 284 | C42 | — | 73 | 1 | no | — |
| 285 | C42 | — | 146 | 1 | no | — |
| 286 | C23 | — | 2 | 1 | no | — |
| 287 | C23 | — | 2 | 1 | no | — |
| 288 | C23 | — | 4 | 2 | no | — |
| 289 | C23 | — | 4 | 1 | no | — |
| 290 | C23 | — | 4 | 1 | no | — |
| 291 | C23 | — | 4 | 2 | no | — |
| 292 | C23 | — | 4 | 1 | no | — |
| 293 | C23 | — | 8 | 2 | no | — |
| 294 | C23 | — | 16 | 2 | no | — |
| 295 | C23 | #14556649 | 1 | 1 | yes | characteristic |
| 296 | Q8 | — | 2 | 2 | no | — |
| 297 | Q8 | — | 4 | 1 | no | — |
| 298 | Q8 | — | 292 | 1 | no | — |
| 299 | Q8 | — | 292 | 1 | no | — |
| 300 | Q8 | — | 584 | 1 | no | — |
| 301 | D4 | — | 2 | 2 | no | — |
| 302 | D4 | — | 4 | 1 | no | — |
| 303 | D4 | — | 4 | 1 | no | — |
| 304 | D4 | — | 4 | 1 | no | — |
| 305 | D4 | — | 4 | 2 | no | — |
| 306 | D4 | — | 4 | 4 | no | — |
| 307 | D4 | — | 4 | 4 | no | — |
| 308 | D4 | — | 4 | 2 | no | — |
| 309 | D4 | — | 4 | 2 | no | — |
| 310 | C2×C4 | — | 2 | 1 | no | — |
| 311 | C2×C4 | — | 2 | 1 | no | — |
| 312 | C2×C4 | — | 4 | 2 | no | — |
| 313 | C2×C4 | — | 4 | 2 | no | — |
| 314 | C2×C4 | — | 4 | 2 | no | — |
| 315 | C2×C4 | — | 4 | 1 | no | — |
| 316 | C2×C4 | — | 4 | 2 | no | — |
| 317 | C2×C4 | — | 292 | 2 | no | — |
| 318 | C2×C4 | — | 292 | 1 | no | — |
| 319 | C2×C4 | — | 292 | 1 | no | — |
| 320 | C2×C4 | — | 146 | 1 | no | — |
| 321 | C2×C4 | — | 146 | 1 | no | — |
| 322 | C2×C4 | — | 146 | 1 | no | — |
| 323 | C2×C4 | — | 146 | 1 | no | — |
| 324 | C2×C4 | #14556649 | 1 | 1 | yes | characteristic |
| 325 | C2×C4 | C2×C22⋊#64408 | 1 | 1 | yes | characteristic |
| 326 | C8 | — | 292 | 2 | no | — |
| 327 | C8 | — | 292 | 4 | no | — |
| 328 | C8 | — | 584 | 2 | no | — |
| 329 | C22 | — | 2 | 2 | no | — |
| 330 | C22 | — | 4 | 2 | no | — |
| 331 | C22 | — | 4 | 1 | no | — |
| 332 | C22 | — | 4 | 1 | no | — |
| 333 | C22 | — | 8 | 1 | no | — |
| 334 | C22 | — | 8 | 1 | no | — |
| 335 | C22 | — | 8 | 2 | no | — |
| 336 | C22 | — | 8 | 2 | no | — |
| 337 | C22 | — | 16 | 1 | no | — |
| 338 | C22 | — | 16 | 2 | no | — |
| 339 | C22 | — | 16 | 2 | no | — |
| 340 | C22 | #17989487 | 1 | 1 | yes | characteristic |
| 341 | C22 | #17989487 | 1 | 1 | yes | characteristic |
| 342 | C22 | C2×#14556649 | 1 | 1 | yes | characteristic |
| 343 | C4 | — | 2 | 1 | no | — |
| 344 | C4 | — | 2 | 1 | no | — |
| 345 | C4 | — | 4 | 2 | no | — |
| 346 | C4 | — | 292 | 1 | no | — |
| 347 | C4 | — | 292 | 1 | no | — |
| 348 | C4 | — | 292 | 1 | no | — |
| 349 | C4 | — | 292 | 1 | no | — |
| 350 | C2 | — | 2 | 1 | no | — |
| 351 | C2 | — | 2 | 1 | no | — |
| 352 | C2 | — | 8 | 1 | no | — |
| 353 | C2 | — | 8 | 1 | no | — |
| 354 | C2 | — | 8 | 2 | no | — |
| 355 | C2 | #22625052 | 1 | 2 | yes | direct product factor |
| 356 | C2 | C2×#17989487 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#17989495 | C2 | semidirect |
| 2. C2×#17989442 | C2 | semidirect |
| 3. #22625052 | C2 | direct (N × H) |
| 8. #17989495 | C22 | semidirect |
| 10. #17989442 | C22 | semidirect |
| 177. C2×C73 | #1403 | semidirect |
| 183. C73 | C2×#1403 | semidirect |
| 355. C2 | #22625052 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989495 | 2 |
| C2×#17989442 | 2 |
| #22625052 | 2 |
| C2×#17988765 | 2 |
| C2×#1403 | 73 |