← D8×#585 #72286892
Subgroups — D8×#585 #72286892
Order 1024.
Only the 34129 normal subgroups are shown; non-normal subgroups are omitted.
The subgroup lattice has 378 nodes (normal subgroups only) — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | D4×#585 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #10585809 | C2 | 1 | 6 | yes | maximal, complemented |
| 3 | #10584989 | C2 | 1 | 12 | yes | maximal, complemented |
| 4 | D8×2−1+4 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | #10584236 | C2 | 1 | 10 | yes | maximal, complemented |
| 6 | #10583479 | C2 | 1 | 20 | yes | maximal, complemented |
| 7 | D8×H(5,𝔽2) | C2 | 1 | 10 | yes | maximal, complemented |
| 8 | #10580904 | C2 | 1 | 15 | yes | maximal, complemented |
| 9 | #10580219 | C2 | 1 | 30 | yes | maximal, complemented |
| 10 | C2×D8×#41 | C2 | 1 | 15 | yes | maximal, complemented |
| 11 | C8×#585 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #63003 | C22 | 1 | 12 | yes | complemented |
| 13 | D4×2−1+4 | C22 | 1 | 12 | yes | complemented |
| 14 | #62988 | C22 | 1 | 20 | yes | complemented |
| 15 | D4×H(5,𝔽2) | C22 | 1 | 20 | yes | complemented |
| 16 | #62812 | C22 | 1 | 30 | yes | complemented |
| 17 | C2×D4×#41 | C22 | 1 | 30 | yes | complemented |
| 18 | C4×#585 | C22 | 1 | 1 | yes | characteristic |
| 19 | #62529 | C22 | 1 | 120 | yes | complemented |
| 20 | #62471 | C22 | 1 | 60 | yes | complemented |
| 21 | #62415 | C22 | 1 | 60 | yes | complemented |
| 22 | #62359 | C22 | 1 | 30 | yes | complemented |
| 23 | #62359 | C22 | 1 | 30 | yes | complemented |
| 24 | #62245 | C22 | 1 | 90 | yes | complemented |
| 25 | #62245 | C22 | 1 | 90 | yes | complemented |
| 26 | #62095 | C22 | 1 | 120 | yes | complemented |
| 27 | #62095 | C22 | 1 | 120 | yes | complemented |
| 28 | #61947 | C22 | 1 | 120 | yes | complemented |
| 29 | #61947 | C22 | 1 | 120 | yes | complemented |
| 30 | #61880 | C22 | 1 | 60 | yes | complemented |
| 31 | #61817 | C22 | 1 | 60 | yes | complemented |
| 32 | #61694 | C22 | 1 | 180 | yes | complemented |
| 33 | #61559 | C22 | 1 | 180 | yes | complemented |
| 34 | D8×#41 | C22 | 1 | 60 | yes | complemented |
| 35 | D8×#41 | C22 | 1 | 20 | yes | complemented |
| 36 | D8×#41 | C22 | 1 | 120 | yes | complemented |
| 37 | D8×#41 | C22 | 1 | 60 | yes | complemented |
| 38 | D8×#41 | C22 | 1 | 60 | yes | complemented |
| 39 | D8×#41 | C22 | 1 | 120 | yes | complemented |
| 40 | D8×#41 | C22 | 1 | 120 | yes | complemented |
| 41 | C2×#3391 | C22 | 1 | 15 | yes | complemented |
| 42 | C2×Q8×D8 | C22 | 1 | 15 | yes | complemented |
| 43 | C2×#3358 | C22 | 1 | 30 | yes | complemented |
| 44 | C2×#3334 | C22 | 1 | 45 | yes | complemented |
| 45 | C2×#3294 | C22 | 1 | 90 | yes | complemented |
| 46 | C2×D4×D8 | C22 | 1 | 45 | yes | complemented |
| 47 | #60940 | C22 | 1 | 90 | yes | complemented |
| 48 | C2×#3169 | C22 | 1 | 45 | yes | complemented |
| 49 | C2×#3100 | C22 | 1 | 90 | yes | complemented |
| 50 | C8×2−1+4 | C22 | 1 | 6 | yes | complemented |
| 51 | C8×2−1+4 | C22 | 1 | 6 | yes | complemented |
| 52 | C8×H(5,𝔽2) | C22 | 1 | 10 | yes | complemented |
| 53 | C8×H(5,𝔽2) | C22 | 1 | 10 | yes | complemented |
| 54 | #60276 | C22 | 1 | 15 | yes | complemented |
| 55 | C2×C8×#41 | C22 | 1 | 15 | yes | complemented |
| 56 | C22×C4×D8 | C22 | 1 | 15 | yes | complemented |
| 57 | C2×#585 | D4 | 1 | 1 | yes | characteristic |
| 58 | C23×D8 | C23 | 1 | 15 | yes | — |
| 59 | #3499 | C23 | 1 | 120 | yes | complemented |
| 60 | #3498 | C23 | 1 | 120 | yes | complemented |
| 61 | #3497 | C23 | 1 | 60 | yes | complemented |
| 62 | #3496 | C23 | 1 | 180 | yes | complemented |
| 63 | D4×#41 | C23 | 1 | 120 | yes | complemented |
| 64 | D4×#41 | C23 | 1 | 120 | yes | complemented |
| 65 | D4×#41 | C23 | 1 | 120 | yes | complemented |
| 66 | D4×#41 | C23 | 1 | 40 | yes | complemented |
| 67 | C2×#550 | C23 | 1 | 30 | yes | complemented |
| 68 | C2×D4×Q8 | C23 | 1 | 30 | yes | complemented |
| 69 | C2×#547 | C23 | 1 | 90 | yes | complemented |
| 70 | C2×D42 | C23 | 1 | 90 | yes | complemented |
| 71 | C2×#532 | C23 | 1 | 90 | yes | complemented |
| 72 | C4×2−1+4 | D4 | 1 | 6 | yes | — |
| 73 | C4×2−1+4 | C23 | 1 | 6 | yes | — |
| 74 | C4×H(5,𝔽2) | D4 | 1 | 10 | yes | — |
| 75 | C4×H(5,𝔽2) | C23 | 1 | 10 | yes | — |
| 76 | #3428 | D4 | 1 | 15 | yes | — |
| 77 | C2×C4×#41 | C23 | 1 | 15 | yes | — |
| 78 | C22×C4×D4 | C23 | 1 | 30 | yes | complemented |
| 79 | #3391 | C23 | 1 | 60 | yes | complemented |
| 80 | #3391 | C23 | 1 | 120 | yes | complemented |
| 81 | #3391 | C23 | 1 | 120 | yes | complemented |
| 82 | #3391 | C23 | 1 | 20 | yes | complemented |
| 83 | Q8×D8 | C23 | 1 | 20 | yes | — |
| 84 | Q8×D8 | C23 | 1 | 60 | yes | complemented |
| 85 | Q8×D8 | C23 | 1 | 120 | yes | complemented |
| 86 | Q8×D8 | C23 | 1 | 120 | yes | complemented |
| 87 | #3358 | C23 | 1 | 120 | yes | complemented |
| 88 | #3358 | C23 | 1 | 240 | yes | complemented |
| 89 | #3358 | C23 | 1 | 40 | yes | complemented |
| 90 | #3358 | C23 | 1 | 120 | yes | complemented |
| 91 | #3358 | C23 | 1 | 120 | yes | complemented |
| 92 | #3334 | C23 | 1 | 180 | yes | complemented |
| 93 | #3334 | C23 | 1 | 360 | yes | complemented |
| 94 | #3334 | C23 | 1 | 60 | yes | complemented |
| 95 | #3334 | C23 | 1 | 360 | yes | complemented |
| 96 | #3294 | C23 | 1 | 360 | yes | complemented |
| 97 | #3294 | C23 | 1 | 720 | yes | complemented |
| 98 | #3294 | C23 | 1 | 360 | yes | complemented |
| 99 | #3294 | C23 | 1 | 120 | yes | complemented |
| 100 | #3294 | C23 | 1 | 360 | yes | complemented |
| 101 | D4×D8 | C23 | 1 | 60 | yes | — |
| 102 | D4×D8 | C23 | 1 | 180 | yes | complemented |
| 103 | D4×D8 | C23 | 1 | 360 | yes | complemented |
| 104 | D4×D8 | C23 | 1 | 360 | yes | complemented |
| 105 | #3245 | C23 | 1 | 180 | yes | complemented |
| 106 | #3245 | C23 | 1 | 180 | yes | complemented |
| 107 | #3226 | C23 | 1 | 360 | yes | complemented |
| 108 | #3205 | C23 | 1 | 360 | yes | complemented |
| 109 | #3186 | C23 | 1 | 360 | yes | complemented |
| 110 | #3169 | C23 | 1 | 180 | yes | complemented |
| 111 | #3169 | C23 | 1 | 180 | yes | complemented |
| 112 | #3169 | C23 | 1 | 180 | yes | complemented |
| 113 | #3169 | C23 | 1 | 60 | yes | complemented |
| 114 | C2×#500 | C23 | 1 | 45 | yes | complemented |
| 115 | C2×#493 | C23 | 1 | 45 | yes | complemented |
| 116 | C2×#486 | C23 | 1 | 90 | yes | complemented |
| 117 | #3100 | C23 | 1 | 360 | yes | complemented |
| 118 | #3100 | C23 | 1 | 120 | yes | complemented |
| 119 | #3100 | C23 | 1 | 360 | yes | complemented |
| 120 | #3100 | C23 | 1 | 360 | yes | complemented |
| 121 | C2×#480 | C23 | 1 | 180 | yes | complemented |
| 122 | C2×#474 | C23 | 1 | 90 | yes | complemented |
| 123 | C2×#474 | C23 | 1 | 90 | yes | complemented |
| 124 | C2×#466 | C23 | 1 | 90 | yes | complemented |
| 125 | C2×#466 | C23 | 1 | 90 | yes | complemented |
| 126 | C2×#459 | C23 | 1 | 90 | yes | complemented |
| 127 | C2×#459 | C23 | 1 | 90 | yes | complemented |
| 128 | C2×#447 | C23 | 1 | 180 | yes | complemented |
| 129 | #2988 | C23 | 1 | 60 | yes | complemented |
| 130 | #2988 | C23 | 1 | 60 | yes | complemented |
| 131 | #2982 | C23 | 1 | 30 | yes | complemented |
| 132 | #2972 | C23 | 1 | 90 | yes | complemented |
| 133 | C8×#41 | C23 | 1 | 60 | yes | complemented |
| 134 | C8×#41 | C23 | 1 | 20 | yes | complemented |
| 135 | C8×#41 | C23 | 1 | 60 | yes | complemented |
| 136 | C8×#41 | C23 | 1 | 60 | yes | complemented |
| 137 | C2×C8×Q8 | C23 | 1 | 15 | yes | complemented |
| 138 | C2×C8×Q8 | C23 | 1 | 15 | yes | complemented |
| 139 | C2×C4×D8 | C23 | 1 | 45 | yes | — |
| 140 | C2×C4×D8 | C23 | 1 | 15 | yes | — |
| 141 | C2×C4×D8 | C23 | 1 | 45 | yes | complemented |
| 142 | C2×C4×D8 | C23 | 1 | 90 | yes | complemented |
| 143 | C2×C4×D8 | C23 | 1 | 90 | yes | complemented |
| 144 | C2×C4×D8 | C23 | 1 | 90 | yes | complemented |
| 145 | C2×C4×D8 | C23 | 1 | 45 | yes | complemented |
| 146 | C2×C8×D4 | C23 | 1 | 45 | yes | complemented |
| 147 | C2×C8×D4 | C23 | 1 | 45 | yes | complemented |
| 148 | C2×#431 | C23 | 1 | 45 | yes | complemented |
| 149 | C22×#107 | C23 | 1 | 15 | yes | complemented |
| 150 | C22×#102 | C23 | 1 | 30 | yes | complemented |
| 151 | C22×C4×C8 | C23 | 1 | 15 | yes | complemented |
| 152 | #585 | D8 | 1 | 32 | yes | direct product factor |
| 153 | C2×2−1+4 | C2×D4 | 1 | 6 | yes | — |
| 154 | C2×H(5,𝔽2) | C2×D4 | 1 | 10 | yes | — |
| 155 | C22×#41 | C2×D4 | 1 | 15 | yes | — |
| 156 | C23×D4 | C24 | 1 | 30 | yes | — |
| 157 | C22×D8 | C24 | 1 | 45 | yes | — |
| 158 | C22×D8 | C24 | 1 | 90 | yes | — |
| 159 | C22×D8 | C24 | 1 | 15 | yes | — |
| 160 | C22×D8 | C24 | 1 | 90 | yes | — |
| 161 | C23×C8 | C24 | 1 | 15 | yes | — |
| 162 | C23×C8 | C24 | 1 | 15 | yes | — |
| 163 | #550 | C24 | 1 | 40 | yes | — |
| 164 | #550 | C24 | 1 | 120 | yes | — |
| 165 | D4×Q8 | C24 | 1 | 40 | yes | — |
| 166 | D4×Q8 | C24 | 1 | 120 | yes | — |
| 167 | #547 | C24 | 1 | 120 | yes | — |
| 168 | #547 | C24 | 1 | 360 | yes | — |
| 169 | D42 | C24 | 1 | 120 | yes | — |
| 170 | D42 | C24 | 1 | 360 | yes | — |
| 171 | #532 | C24 | 1 | 120 | yes | — |
| 172 | #532 | C24 | 1 | 360 | yes | — |
| 173 | C2×C4⋊Q8 | C24 | 1 | 90 | yes | — |
| 174 | C2×#127 | C24 | 1 | 90 | yes | — |
| 175 | C2×#121 | C24 | 1 | 180 | yes | — |
| 176 | #520 | C2×D4 | 1 | 60 | yes | — |
| 177 | #520 | C2×D4 | 1 | 60 | yes | — |
| 178 | #519 | C2×D4 | 1 | 30 | yes | — |
| 179 | #518 | C2×D4 | 1 | 90 | yes | — |
| 180 | C4×#41 | C2×D4 | 1 | 60 | yes | — |
| 181 | C4×#41 | C2×D4 | 1 | 60 | yes | — |
| 182 | C4×#41 | C24 | 1 | 20 | yes | — |
| 183 | C4×#41 | C24 | 1 | 60 | yes | — |
| 184 | C2×C4×Q8 | C2×D4 | 1 | 15 | yes | — |
| 185 | C2×C4×Q8 | C24 | 1 | 15 | yes | — |
| 186 | C2×C4×D4 | C2×D4 | 1 | 45 | yes | — |
| 187 | C2×C4×D4 | C24 | 1 | 45 | yes | — |
| 188 | C2×C4×D4 | C24 | 1 | 30 | yes | — |
| 189 | C2×C4×D4 | C24 | 1 | 90 | yes | — |
| 190 | C2×C4×D4 | C24 | 1 | 90 | yes | — |
| 191 | C2×C4×D4 | C24 | 1 | 90 | yes | — |
| 192 | C2×#117 | C2×D4 | 1 | 45 | yes | — |
| 193 | C22×C4⋊C4 | C24 | 1 | 30 | yes | — |
| 194 | C22×C42 | C24 | 1 | 15 | yes | — |
| 195 | #500 | C24 | 1 | 60 | yes | — |
| 196 | #500 | C24 | 1 | 180 | yes | — |
| 197 | #493 | C24 | 1 | 60 | yes | — |
| 198 | #493 | C24 | 1 | 180 | yes | — |
| 199 | #486 | C24 | 1 | 120 | yes | — |
| 200 | #486 | C24 | 1 | 360 | yes | — |
| 201 | #480 | C24 | 1 | 240 | yes | — |
| 202 | #480 | C24 | 1 | 720 | yes | — |
| 203 | #474 | C24 | 1 | 120 | yes | — |
| 204 | #474 | C24 | 1 | 360 | yes | — |
| 205 | #474 | C24 | 1 | 360 | yes | — |
| 206 | #474 | C24 | 1 | 120 | yes | — |
| 207 | #466 | C24 | 1 | 120 | yes | — |
| 208 | #466 | C24 | 1 | 360 | yes | — |
| 209 | #466 | C24 | 1 | 360 | yes | — |
| 210 | #466 | C24 | 1 | 120 | yes | — |
| 211 | #459 | C24 | 1 | 120 | yes | — |
| 212 | #459 | C24 | 1 | 120 | yes | — |
| 213 | #459 | C24 | 1 | 360 | yes | — |
| 214 | #459 | C24 | 1 | 360 | yes | — |
| 215 | #447 | C24 | 1 | 240 | yes | — |
| 216 | #447 | C24 | 1 | 720 | yes | — |
| 217 | C8×Q8 | C24 | 1 | 20 | yes | — |
| 218 | C8×Q8 | C24 | 1 | 60 | yes | — |
| 219 | C8×Q8 | C24 | 1 | 60 | yes | — |
| 220 | C8×Q8 | C24 | 1 | 20 | yes | — |
| 221 | C4×D8 | C24 | 1 | 15 | yes | — |
| 222 | C4×D8 | C24 | 1 | 180 | yes | — |
| 223 | C4×D8 | C24 | 1 | 90 | yes | — |
| 224 | C4×D8 | C24 | 1 | 360 | yes | — |
| 225 | C4×D8 | C24 | 1 | 90 | yes | — |
| 226 | C4×D8 | C24 | 1 | 120 | yes | — |
| 227 | C4×D8 | C24 | 1 | 30 | yes | — |
| 228 | C4×D8 | C24 | 1 | 180 | yes | — |
| 229 | C4×D8 | C24 | 1 | 90 | yes | — |
| 230 | C4×D8 | C24 | 1 | 30 | yes | — |
| 231 | C4×D8 | C24 | 1 | 15 | yes | — |
| 232 | C4×D8 | C24 | 1 | 15 | yes | — |
| 233 | C4×D8 | C24 | 1 | 1 | yes | characteristic |
| 234 | C8×D4 | C24 | 1 | 60 | yes | — |
| 235 | C8×D4 | C24 | 1 | 180 | yes | — |
| 236 | C8×D4 | C24 | 1 | 180 | yes | — |
| 237 | C8×D4 | C24 | 1 | 60 | yes | — |
| 238 | #431 | C24 | 1 | 60 | yes | — |
| 239 | #431 | C24 | 1 | 180 | yes | — |
| 240 | C2×#107 | C24 | 1 | 90 | yes | — |
| 241 | C2×#107 | C24 | 1 | 90 | yes | — |
| 242 | C2×#107 | C24 | 1 | 45 | yes | — |
| 243 | C2×#107 | C24 | 1 | 15 | yes | — |
| 244 | C2×C4⋊C8 | C24 | 1 | 45 | yes | — |
| 245 | C2×C4⋊C8 | C24 | 1 | 45 | yes | — |
| 246 | C2×#102 | C24 | 1 | 90 | yes | — |
| 247 | C2×#102 | C24 | 1 | 180 | yes | — |
| 248 | C2×#102 | C24 | 1 | 90 | yes | — |
| 249 | C2×#102 | C24 | 1 | 30 | yes | — |
| 250 | C2×#102 | C24 | 1 | 90 | yes | — |
| 251 | C2×C22⋊C8 | C24 | 1 | 90 | yes | — |
| 252 | C2×C4×C8 | C24 | 1 | 15 | yes | — |
| 253 | C2×C4×C8 | C24 | 1 | 45 | yes | — |
| 254 | C2×C4×C8 | C24 | 1 | 45 | yes | — |
| 255 | C2×C4×C8 | C24 | 1 | 45 | yes | — |
| 256 | 2−1+4 | C2×D8 | 1 | 96 | yes | complemented |
| 257 | H(5,𝔽2) | C2×D8 | 1 | 160 | yes | complemented |
| 258 | C2×#41 | C2×D8 | 1 | 240 | yes | complemented |
| 259 | C2×#41 | C22×D4 | 1 | 20 | yes | — |
| 260 | C2×#41 | C22×D4 | 1 | 60 | yes | — |
| 261 | C22×Q8 | C22×D4 | 1 | 15 | yes | — |
| 262 | C22×D4 | C22×D4 | 1 | 45 | yes | — |
| 263 | C22×D4 | C25 | 1 | 30 | yes | — |
| 264 | C22×D4 | C25 | 1 | 90 | yes | — |
| 265 | C23×C4 | C22×D4 | 1 | 15 | yes | — |
| 266 | C23×C4 | C22×D4 | 1 | 15 | yes | — |
| 267 | C23×C4 | C25 | 1 | 15 | yes | — |
| 268 | C2×D8 | C25 | 1 | 1 | yes | characteristic |
| 269 | C2×D8 | C25 | 1 | 30 | yes | — |
| 270 | C2×D8 | C25 | 1 | 15 | yes | — |
| 271 | C2×D8 | C25 | 1 | 90 | yes | — |
| 272 | C2×D8 | C25 | 1 | 120 | yes | — |
| 273 | C22×C8 | C25 | 1 | 15 | yes | — |
| 274 | C22×C8 | C25 | 1 | 15 | yes | — |
| 275 | C22×C8 | C25 | 1 | 45 | yes | — |
| 276 | C22×C8 | C25 | 1 | 45 | yes | — |
| 277 | C4⋊Q8 | C25 | 1 | 120 | yes | — |
| 278 | #127 | C25 | 1 | 120 | yes | — |
| 279 | #121 | C25 | 1 | 240 | yes | — |
| 280 | C4×Q8 | C22×D4 | 1 | 20 | yes | — |
| 281 | C4×Q8 | C22×D4 | 1 | 60 | yes | — |
| 282 | C4×Q8 | C22×D4 | 1 | 60 | yes | — |
| 283 | C4×Q8 | C25 | 1 | 20 | yes | — |
| 284 | C4×D4 | C22×D4 | 1 | 60 | yes | — |
| 285 | C4×D4 | C22×D4 | 1 | 180 | yes | — |
| 286 | C4×D4 | C22×D4 | 1 | 180 | yes | — |
| 287 | C4×D4 | C25 | 1 | 60 | yes | — |
| 288 | C4×D4 | C25 | 1 | 2 | yes | — |
| 289 | C4×D4 | C25 | 1 | 30 | yes | — |
| 290 | C4×D4 | C25 | 1 | 30 | yes | — |
| 291 | C4×D4 | C25 | 1 | 30 | yes | — |
| 292 | C4×D4 | C25 | 1 | 180 | yes | — |
| 293 | #117 | C22×D4 | 1 | 60 | yes | — |
| 294 | #117 | C22×D4 | 1 | 180 | yes | — |
| 295 | C2×C4⋊C4 | C22×D4 | 1 | 45 | yes | — |
| 296 | C2×C4⋊C4 | C22×D4 | 1 | 45 | yes | — |
| 297 | C2×C4⋊C4 | C25 | 1 | 30 | yes | — |
| 298 | C2×C4⋊C4 | C25 | 1 | 90 | yes | — |
| 299 | C2×C22⋊C4 | C22×D4 | 1 | 90 | yes | — |
| 300 | C2×C42 | C22×D4 | 1 | 45 | yes | — |
| 301 | C2×C42 | C22×D4 | 1 | 45 | yes | — |
| 302 | C2×C42 | C25 | 1 | 15 | yes | — |
| 303 | C2×C42 | C25 | 1 | 45 | yes | — |
| 304 | #107 | C25 | 1 | 1 | yes | characteristic |
| 305 | #107 | C25 | 1 | 15 | yes | — |
| 306 | #107 | C25 | 1 | 30 | yes | — |
| 307 | #107 | C25 | 1 | 120 | yes | — |
| 308 | #107 | C25 | 1 | 90 | yes | — |
| 309 | C4⋊C8 | C25 | 1 | 60 | yes | — |
| 310 | C4⋊C8 | C25 | 1 | 60 | yes | — |
| 311 | #102 | C25 | 1 | 2 | yes | — |
| 312 | #102 | C25 | 1 | 30 | yes | — |
| 313 | #102 | C25 | 1 | 30 | yes | — |
| 314 | #102 | C25 | 1 | 30 | yes | — |
| 315 | #102 | C25 | 1 | 180 | yes | — |
| 316 | #102 | C25 | 1 | 240 | yes | — |
| 317 | C22⋊C8 | C25 | 1 | 120 | yes | — |
| 318 | C4×C8 | C25 | 1 | 1 | yes | characteristic |
| 319 | C4×C8 | C25 | 1 | 15 | yes | — |
| 320 | C4×C8 | C25 | 1 | 15 | yes | — |
| 321 | C4×C8 | C25 | 1 | 15 | yes | — |
| 322 | C4×C8 | C25 | 1 | 90 | yes | — |
| 323 | C24 | C23×D4 | 1 | 15 | yes | — |
| 324 | #41 | C22×D8 | 1 | 160 | yes | complemented |
| 325 | #41 | C22×D8 | 1 | 480 | yes | complemented |
| 326 | C2×Q8 | C22×D8 | 1 | 120 | yes | complemented |
| 327 | C2×Q8 | C23×D4 | 1 | 20 | yes | — |
| 328 | C2×D4 | C22×D8 | 1 | 360 | yes | complemented |
| 329 | C2×D4 | C23×D4 | 1 | 60 | yes | — |
| 330 | C2×D4 | C26 | 1 | 30 | yes | — |
| 331 | C2×D4 | C26 | 1 | 2 | yes | — |
| 332 | C22×C4 | C22×D8 | 1 | 120 | yes | complemented |
| 333 | C22×C4 | C23×D4 | 1 | 45 | yes | — |
| 334 | C22×C4 | C23×D4 | 1 | 15 | yes | — |
| 335 | C22×C4 | C23×D4 | 1 | 45 | yes | — |
| 336 | C22×C4 | C23×D4 | 1 | 45 | yes | — |
| 337 | C22×C4 | C23×D4 | 1 | 15 | yes | — |
| 338 | C22×C4 | C26 | 1 | 15 | yes | — |
| 339 | D8 | #585 | 1 | 4 | yes | direct product factor |
| 340 | C2×C8 | C26 | 1 | 1 | yes | characteristic |
| 341 | C2×C8 | C26 | 1 | 1 | yes | characteristic |
| 342 | C2×C8 | C26 | 1 | 15 | yes | — |
| 343 | C2×C8 | C26 | 1 | 15 | yes | — |
| 344 | C4⋊C4 | C23×D4 | 1 | 60 | yes | — |
| 345 | C4⋊C4 | C23×D4 | 1 | 60 | yes | — |
| 346 | C4⋊C4 | C26 | 1 | 2 | yes | — |
| 347 | C4⋊C4 | C26 | 1 | 30 | yes | — |
| 348 | C22⋊C4 | C23×D4 | 1 | 120 | yes | — |
| 349 | C42 | C23×D4 | 1 | 15 | yes | — |
| 350 | C42 | C23×D4 | 1 | 90 | yes | — |
| 351 | C42 | C23×D4 | 1 | 15 | yes | — |
| 352 | C42 | C26 | 1 | 15 | yes | — |
| 353 | C42 | C26 | 1 | 1 | yes | characteristic |
| 354 | C23 | C23×D8 | 1 | 60 | yes | — |
| 355 | C23 | C24×D4 | 1 | 15 | yes | — |
| 356 | Q8 | C23×D8 | 1 | 80 | yes | — |
| 357 | D4 | C23×D8 | 1 | 240 | yes | — |
| 358 | D4 | C2×#585 | 1 | 4 | yes | complemented |
| 359 | C2×C4 | C23×D8 | 1 | 60 | yes | — |
| 360 | C2×C4 | C23×D8 | 1 | 180 | yes | — |
| 361 | C2×C4 | C24×D4 | 1 | 15 | yes | — |
| 362 | C2×C4 | C24×D4 | 1 | 1 | yes | characteristic |
| 363 | C2×C4 | C24×D4 | 1 | 15 | yes | — |
| 364 | C2×C4 | C24×D4 | 1 | 15 | yes | — |
| 365 | C2×C4 | C24×D4 | 1 | 1 | yes | characteristic |
| 366 | C2×C4 | C27 | 1 | 1 | yes | characteristic |
| 367 | C8 | C2×#585 | 1 | 2 | yes | complemented |
| 368 | C22 | C24×D8 | 1 | 30 | yes | — |
| 369 | C22 | C25×D4 | 1 | 1 | yes | characteristic |
| 370 | C4 | C24×D8 | 1 | 30 | yes | — |
| 371 | C4 | C24×D8 | 1 | 2 | yes | — |
| 372 | C4 | C22×#585 | 1 | 1 | yes | characteristic |
| 373 | C4 | #63103 | 1 | 1 | yes | characteristic |
| 374 | C2 | D4×#585 | 1 | 1 | yes | characteristic |
| 375 | C2 | C25×D8 | 1 | 1 | yes | characteristic |
| 376 | C2 | #10587001 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta