Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
3512 conjugacy classes of subgroups; only the 311 normal subgroups are shown.
This group has 3512 conjugacy classes of subgroups — too many to draw. Only its 311 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 | #21455225 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #21455198 | C2 | 1 | 3 | yes | maximal, complemented |
| 3 | #21455114 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #21445794 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #21445783 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #21445770 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C61×2−1+6 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | C2×#14519807 | C22 | 1 | 3 | yes | complemented |
| 9 | C22×#11758202 | C22 | 1 | 1 | yes | characteristic, complemented |
| 10 | #16840333 | C22 | 1 | 3 | yes | complemented |
| 11 | #16839952 | — | 2 | 4 | no | — |
| 12 | #16839945 | — | 2 | 6 | no | — |
| 13 | #16839940 | — | 2 | 6 | no | — |
| 14 | #16839924 | — | 2 | 6 | no | — |
| 15 | #16839918 | — | 2 | 6 | no | — |
| 16 | #16839779 | C22 | 1 | 6 | yes | complemented |
| 17 | #16839771 | C22 | 1 | 3 | yes | complemented |
| 18 | #16839758 | C22 | 1 | 3 | yes | complemented |
| 19 | #16839746 | C22 | 1 | 3 | yes | complemented |
| 20 | #16839736 | C22 | 1 | 3 | yes | complemented |
| 21 | #16839729 | C22 | 1 | 3 | yes | complemented |
| 22 | C61×#585 | — | 2 | 6 | no | — |
| 23 | C61×#585 | — | 2 | 4 | no | — |
| 24 | C61×#585 | — | 2 | 6 | no | — |
| 25 | C61×#585 | C22 | 1 | 3 | yes | — |
| 26 | C61×#585 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×2−1+4×C61 | — | 2 | 6 | no | — |
| 28 | C2×2−1+4×C61 | — | 2 | 6 | no | — |
| 29 | C2×2−1+4×C61 | C22 | 1 | 3 | yes | — |
| 30 | C22×Dic122 | C23 | 1 | 1 | yes | characteristic |
| 31 | #14519807 | — | 2 | 12 | no | — |
| 32 | C2×#11758202 | — | 2 | 6 | no | — |
| 33 | C2×#11758202 | — | 2 | 3 | no | — |
| 34 | C2×#11758200 | — | 2 | 3 | no | — |
| 35 | C2×#11758194 | C23 | 1 | 3 | yes | — |
| 36 | C22×#92418 | C23 | 1 | 1 | yes | characteristic |
| 37 | #14519775 | — | 2 | 3 | no | — |
| 38 | #14519764 | — | 2 | 3 | no | — |
| 39 | #14519758 | — | 2 | 6 | no | — |
| 40 | #14519756 | — | 2 | 6 | no | — |
| 41 | #14519736 | C23 | 1 | 3 | yes | — |
| 42 | #14519704 | — | 2 | 12 | no | — |
| 43 | #14519701 | — | 2 | 3 | no | — |
| 44 | #14519701 | — | 2 | 6 | no | — |
| 45 | #14519698 | — | 2 | 3 | no | — |
| 46 | #14519696 | — | 2 | 3 | no | — |
| 47 | #14519694 | — | 2 | 3 | no | — |
| 48 | #14519692 | — | 2 | 6 | no | — |
| 49 | C22⋊#92418 | — | 2 | 6 | no | — |
| 50 | 2−1+4×C61 | — | 2 | 12 | no | — |
| 51 | 2−1+4×C61 | — | 2 | 24 | no | — |
| 52 | 2−1+4×C61 | — | 2 | 24 | no | — |
| 53 | 2−1+4×C61 | — | 2 | 12 | no | — |
| 54 | 2−1+4×C61 | — | 2 | 12 | no | — |
| 55 | 2−1+4×C61 | — | 2 | 3 | no | — |
| 56 | 2−1+4×C61 | — | 2 | 6 | no | — |
| 57 | 2−1+4×C61 | — | 2 | 12 | no | — |
| 58 | 2−1+4×C61 | D4 | 1 | 6 | yes | — |
| 59 | H(5,𝔽2)×C61 | — | 2 | 4 | no | — |
| 60 | H(5,𝔽2)×C61 | — | 2 | 12 | no | — |
| 61 | H(5,𝔽2)×C61 | — | 2 | 24 | no | — |
| 62 | H(5,𝔽2)×C61 | — | 2 | 6 | no | — |
| 63 | H(5,𝔽2)×C61 | — | 2 | 3 | no | — |
| 64 | H(5,𝔽2)×C61 | — | 2 | 6 | no | — |
| 65 | H(5,𝔽2)×C61 | D4 | 1 | 6 | yes | — |
| 66 | H(5,𝔽2)×C61 | D4 | 1 | 4 | yes | — |
| 67 | C2×#41×C61 | — | 2 | 12 | no | — |
| 68 | C2×#41×C61 | — | 2 | 12 | no | — |
| 69 | C2×#41×C61 | — | 2 | 24 | no | — |
| 70 | C2×#41×C61 | — | 2 | 24 | no | — |
| 71 | C2×#41×C61 | — | 2 | 24 | no | — |
| 72 | C2×#41×C61 | — | 2 | 12 | no | — |
| 73 | C2×#41×C61 | — | 2 | 3 | no | — |
| 74 | C2×#41×C61 | — | 2 | 6 | no | — |
| 75 | C2×#41×C61 | — | 2 | 6 | no | — |
| 76 | C2×#41×C61 | — | 2 | 6 | no | — |
| 77 | C2×#41×C61 | D4 | 1 | 6 | yes | — |
| 78 | C2×#41×C61 | C23 | 1 | 3 | yes | — |
| 79 | C2×#41×C61 | C23 | 1 | 3 | yes | — |
| 80 | C22×Q8×C61 | — | 2 | 12 | no | — |
| 81 | C22×Q8×C61 | — | 2 | 4 | no | — |
| 82 | C22×Q8×C61 | — | 2 | 3 | no | — |
| 83 | C22×Q8×C61 | D4 | 1 | 6 | yes | — |
| 84 | C22×Q8×C61 | C23 | 1 | 1 | yes | characteristic |
| 85 | #41×C61 | — | 2 | 48 | no | — |
| 86 | #41×C61 | — | 2 | 24 | no | — |
| 87 | #41×C61 | — | 2 | 48 | no | — |
| 88 | #41×C61 | — | 2 | 8 | no | — |
| 89 | #41×C61 | — | 2 | 24 | no | — |
| 90 | #41×C61 | — | 2 | 48 | no | — |
| 91 | #41×C61 | — | 2 | 24 | no | — |
| 92 | #41×C61 | — | 2 | 12 | no | — |
| 93 | #41×C61 | — | 2 | 12 | no | — |
| 94 | #41×C61 | — | 2 | 12 | no | — |
| 95 | #41×C61 | — | 2 | 4 | no | — |
| 96 | #41×C61 | — | 2 | 12 | no | — |
| 97 | #41×C61 | — | 2 | 12 | no | — |
| 98 | #41×C61 | — | 2 | 12 | no | — |
| 99 | #41×C61 | — | 2 | 12 | no | — |
| 100 | #41×C61 | — | 2 | 12 | no | — |
| 101 | #41×C61 | — | 2 | 12 | no | — |
| 102 | #41×C61 | — | 2 | 6 | no | — |
| 103 | #41×C61 | — | 2 | 6 | no | — |
| 104 | #41×C61 | — | 2 | 6 | no | — |
| 105 | #41×C61 | C2×D4 | 1 | 12 | yes | — |
| 106 | C2×Q8×C61 | — | 2 | 24 | no | — |
| 107 | C2×Q8×C61 | — | 2 | 24 | no | — |
| 108 | C2×Q8×C61 | — | 2 | 24 | no | — |
| 109 | C2×Q8×C61 | — | 2 | 6 | no | — |
| 110 | C2×Q8×C61 | — | 2 | 6 | no | — |
| 111 | C2×Q8×C61 | — | 2 | 12 | no | — |
| 112 | C2×Q8×C61 | — | 2 | 12 | no | — |
| 113 | C2×Q8×C61 | — | 2 | 12 | no | — |
| 114 | C2×Q8×C61 | — | 2 | 6 | no | — |
| 115 | C2×Q8×C61 | — | 2 | 3 | no | — |
| 116 | C2×Q8×C61 | C2×D4 | 1 | 3 | yes | — |
| 117 | C2×Q8×C61 | C2×D4 | 1 | 6 | yes | — |
| 118 | C2×Q8×C61 | C2×D4 | 1 | 3 | yes | — |
| 119 | C2×D4×C61 | — | 2 | 24 | no | — |
| 120 | C2×D4×C61 | — | 2 | 24 | no | — |
| 121 | C2×D4×C61 | — | 2 | 24 | no | — |
| 122 | C2×D4×C61 | — | 2 | 6 | no | — |
| 123 | C2×D4×C61 | — | 2 | 6 | no | — |
| 124 | C2×D4×C61 | — | 2 | 12 | no | — |
| 125 | C2×D4×C61 | — | 2 | 12 | no | — |
| 126 | C2×D4×C61 | — | 2 | 6 | no | — |
| 127 | C2×D4×C61 | — | 2 | 3 | no | — |
| 128 | C2×D4×C61 | — | 2 | 12 | no | — |
| 129 | C2×D4×C61 | C2×D4 | 1 | 6 | yes | — |
| 130 | C2×D4×C61 | C2×D4 | 1 | 3 | yes | — |
| 131 | C2×D4×C61 | C2×D4 | 1 | 3 | yes | — |
| 132 | C22×C4×C61 | — | 2 | 8 | no | — |
| 133 | C22×C4×C61 | — | 2 | 24 | no | — |
| 134 | C22×C4×C61 | — | 2 | 12 | no | — |
| 135 | C22×C4×C61 | — | 2 | 4 | no | — |
| 136 | C22×C4×C61 | — | 2 | 6 | no | — |
| 137 | C22×C4×C61 | — | 2 | 1 | no | — |
| 138 | C22×C4×C61 | — | 2 | 6 | no | — |
| 139 | C22×C4×C61 | — | 2 | 3 | no | — |
| 140 | C22×C4×C61 | C2×D4 | 1 | 6 | yes | — |
| 141 | C22×C4×C61 | C24 | 1 | 1 | yes | characteristic |
| 142 | C22×Dic61 | — | 2 | 1 | no | — |
| 143 | C2×Dic122 | — | 2 | 3 | no | — |
| 144 | C2×Dic122 | — | 2 | 3 | no | — |
| 145 | C22⋊Dic61 | — | 2 | 3 | no | — |
| 146 | C22⋊Dic61 | — | 4 | 6 | no | — |
| 147 | #11758202 | — | 4 | 4 | no | — |
| 148 | #11758202 | — | 4 | 6 | no | — |
| 149 | #11758200 | — | 4 | 6 | no | — |
| 150 | C4⋊Dic61 | — | 2 | 3 | no | — |
| 151 | #11758196 | — | 4 | 6 | no | — |
| 152 | C4×Dic61 | — | 2 | 3 | no | — |
| 153 | #11758194 | — | 2 | 6 | no | — |
| 154 | C2×#92418 | — | 2 | 3 | no | — |
| 155 | C2×#92418 | — | 2 | 3 | no | — |
| 156 | C23×C61 | — | 2 | 4 | no | — |
| 157 | C23×C61 | — | 2 | 12 | no | — |
| 158 | C23×C61 | — | 2 | 3 | no | — |
| 159 | C23×C61 | #120 | 1 | 6 | yes | — |
| 160 | C23×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 161 | Q8×C61 | — | 2 | 12 | no | — |
| 162 | Q8×C61 | — | 2 | 24 | no | — |
| 163 | Q8×C61 | — | 2 | 4 | no | — |
| 164 | Q8×C61 | — | 2 | 3 | no | — |
| 165 | Q8×C61 | — | 2 | 6 | no | — |
| 166 | Q8×C61 | — | 2 | 6 | no | — |
| 167 | Q8×C61 | #120 | 1 | 6 | yes | — |
| 168 | Q8×C61 | #120 | 1 | 4 | yes | — |
| 169 | D4×C61 | — | 2 | 24 | no | — |
| 170 | D4×C61 | — | 2 | 24 | no | — |
| 171 | D4×C61 | — | 2 | 12 | no | — |
| 172 | D4×C61 | — | 2 | 12 | no | — |
| 173 | D4×C61 | — | 2 | 12 | no | — |
| 174 | D4×C61 | — | 2 | 12 | no | — |
| 175 | D4×C61 | — | 2 | 3 | no | — |
| 176 | D4×C61 | — | 2 | 6 | no | — |
| 177 | D4×C61 | #120 | 1 | 6 | yes | — |
| 178 | C2×C4×C61 | — | 2 | 12 | no | — |
| 179 | C2×C4×C61 | — | 2 | 24 | no | — |
| 180 | C2×C4×C61 | — | 2 | 24 | no | — |
| 181 | C2×C4×C61 | — | 2 | 24 | no | — |
| 182 | C2×C4×C61 | — | 2 | 12 | no | — |
| 183 | C2×C4×C61 | — | 2 | 3 | no | — |
| 184 | C2×C4×C61 | — | 2 | 6 | no | — |
| 185 | C2×C4×C61 | — | 2 | 12 | no | — |
| 186 | C2×C4×C61 | — | 2 | 6 | no | — |
| 187 | C2×C4×C61 | — | 2 | 6 | no | — |
| 188 | C2×C4×C61 | #120 | 1 | 6 | yes | — |
| 189 | C2×C4×C61 | C22×D4 | 1 | 3 | yes | — |
| 190 | C2×C4×C61 | C22×D4 | 1 | 3 | yes | — |
| 191 | C2×Dic61 | — | 4 | 3 | no | — |
| 192 | C2×Dic61 | — | 4 | 3 | no | — |
| 193 | Dic122 | — | 4 | 3 | no | — |
| 194 | Dic122 | — | 4 | 1 | no | — |
| 195 | #92418 | — | 4 | 1 | no | — |
| 196 | #92418 | — | 4 | 3 | no | — |
| 197 | #32897 | — | 61 | 1 | no | maximal, Sylow |
| 198 | C22×C61 | — | 2 | 6 | no | — |
| 199 | C22×C61 | — | 2 | 6 | no | — |
| 200 | C22×C61 | — | 4 | 1 | no | — |
| 201 | C22×C61 | — | 4 | 6 | no | — |
| 202 | C22×C61 | — | 8 | 3 | no | — |
| 203 | C22×C61 | — | 8 | 4 | no | — |
| 204 | C22×C61 | — | 8 | 12 | no | — |
| 205 | C22×C61 | C2×#120 | 1 | 3 | yes | — |
| 206 | C4×C61 | — | 2 | 4 | no | — |
| 207 | C4×C61 | — | 2 | 6 | no | — |
| 208 | C4×C61 | — | 2 | 6 | no | — |
| 209 | C4×C61 | C2×#120 | 1 | 1 | yes | characteristic |
| 210 | C4×C61 | C2×#120 | 1 | 3 | yes | — |
| 211 | Dic61 | — | 8 | 3 | no | — |
| 212 | Dic61 | — | 8 | 1 | no | — |
| 213 | 2−1+6 | D61 | 1 | 1 | yes | characteristic |
| 214 | #3028 | — | 61 | 1 | no | — |
| 215 | #3022 | — | 61 | 3 | no | — |
| 216 | #3011 | — | 61 | 3 | no | — |
| 217 | #1796 | — | 61 | 3 | no | — |
| 218 | #1794 | — | 61 | 3 | no | — |
| 219 | #1791 | — | 61 | 1 | no | — |
| 220 | C2×C61 | — | 2 | 3 | no | — |
| 221 | C2×C61 | — | 4 | 6 | no | — |
| 222 | C2×C61 | — | 4 | 6 | no | — |
| 223 | C2×C61 | #2846 | 1 | 1 | yes | characteristic |
| 224 | #585 | — | 2 | 6 | no | — |
| 225 | #585 | — | 2 | 4 | no | — |
| 226 | #585 | — | 2 | 6 | no | — |
| 227 | #585 | C2×D61 | 1 | 3 | yes | — |
| 228 | #585 | C2×D61 | 1 | 1 | yes | characteristic |
| 229 | C2×2−1+4 | — | 2 | 6 | no | — |
| 230 | C2×2−1+4 | — | 2 | 6 | no | — |
| 231 | C2×2−1+4 | C2×D61 | 1 | 3 | yes | — |
| 232 | C2×#137 | — | 61 | 3 | no | — |
| 233 | C22×Q16 | — | 61 | 1 | no | — |
| 234 | #536 | — | 61 | 3 | no | — |
| 235 | #458 | — | 122 | 4 | no | — |
| 236 | #456 | — | 122 | 6 | no | — |
| 237 | #455 | — | 122 | 6 | no | — |
| 238 | #452 | — | 122 | 6 | no | — |
| 239 | #451 | — | 122 | 6 | no | — |
| 240 | #421 | — | 61 | 6 | no | — |
| 241 | #419 | — | 61 | 3 | no | — |
| 242 | #416 | — | 61 | 3 | no | — |
| 243 | #413 | — | 61 | 3 | no | — |
| 244 | #410 | — | 61 | 3 | no | — |
| 245 | #408 | — | 61 | 3 | no | — |
| 246 | C61 | #32897 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 247 | 2−1+4 | — | 2 | 12 | no | — |
| 248 | 2−1+4 | — | 2 | 24 | no | — |
| 249 | 2−1+4 | — | 2 | 24 | no | — |
| 250 | 2−1+4 | — | 2 | 12 | no | — |
| 251 | 2−1+4 | — | 2 | 12 | no | — |
| 252 | 2−1+4 | — | 2 | 3 | no | — |
| 253 | 2−1+4 | — | 2 | 6 | no | — |
| 254 | 2−1+4 | — | 2 | 12 | no | — |
| 255 | 2−1+4 | C22⋊D61 | 1 | 6 | yes | — |
| 256 | H(5,𝔽2) | — | 2 | 4 | no | — |
| 257 | H(5,𝔽2) | — | 2 | 12 | no | — |
| 258 | H(5,𝔽2) | — | 2 | 24 | no | — |
| 259 | H(5,𝔽2) | — | 2 | 6 | no | — |
| 260 | H(5,𝔽2) | — | 2 | 6 | no | — |
| 261 | H(5,𝔽2) | — | 2 | 3 | no | — |
| 262 | H(5,𝔽2) | C22⋊D61 | 1 | 6 | yes | — |
| 263 | H(5,𝔽2) | C22⋊D61 | 1 | 4 | yes | — |
| 264 | C2×#41 | — | 2 | 12 | no | — |
| 265 | C2×#41 | — | 2 | 12 | no | — |
| 266 | C2×#41 | — | 2 | 24 | no | — |
| 267 | C2×#41 | — | 2 | 24 | no | — |
| 268 | C2×#41 | — | 2 | 24 | no | — |
| 269 | C2×#41 | — | 2 | 12 | no | — |
| 270 | C2×#41 | — | 2 | 6 | no | — |
| 271 | C2×#41 | — | 2 | 3 | no | — |
| 272 | C2×#41 | — | 2 | 6 | no | — |
| 273 | C2×#41 | — | 2 | 6 | no | — |
| 274 | C2×#41 | C22⋊D61 | 1 | 6 | yes | — |
| 275 | C2×#41 | C22×D61 | 1 | 3 | yes | — |
| 276 | C2×#41 | C22×D61 | 1 | 3 | yes | — |
| 277 | C22×Q8 | — | 2 | 12 | no | — |
| 278 | C22×Q8 | — | 2 | 4 | no | — |
| 279 | C22×Q8 | — | 2 | 3 | no | — |
| 280 | C22×Q8 | — | 61 | 1 | no | — |
| 281 | C22×Q8 | C22⋊D61 | 1 | 6 | yes | — |
| 282 | C22×Q8 | C22×D61 | 1 | 1 | yes | characteristic |
| 283 | #137 | — | 122 | 12 | no | — |
| 284 | C2×Q16 | — | 122 | 6 | no | — |
| 285 | C2×Q16 | — | 122 | 3 | no | — |
| 286 | C2×SD16 | — | 122 | 3 | no | — |
| 287 | C2×M16 | — | 61 | 3 | no | — |
| 288 | C22×C8 | — | 61 | 1 | no | — |
| 289 | C4⋊Q8 | — | 122 | 3 | no | — |
| 290 | #124 | — | 122 | 3 | no | — |
| 291 | #123 | — | 122 | 6 | no | — |
| 292 | C22⋊Q8 | — | 122 | 6 | no | — |
| 293 | #117 | — | 61 | 3 | no | — |
| 294 | #104 | — | 122 | 12 | no | — |
| 295 | #103 | — | 122 | 3 | no | — |
| 296 | #103 | — | 122 | 6 | no | — |
| 297 | #102 | — | 122 | 3 | no | — |
| 298 | #101 | — | 122 | 3 | no | — |
| 299 | #100 | — | 122 | 3 | no | — |
| 300 | #99 | — | 122 | 6 | no | — |
| 301 | C22⋊C8 | — | 122 | 6 | no | — |
| 302 | #41 | — | 2 | 48 | no | — |
| 303 | #41 | — | 2 | 24 | no | — |
| 304 | #41 | — | 2 | 48 | no | — |
| 305 | #41 | — | 2 | 8 | no | — |
| 306 | #41 | — | 2 | 24 | no | — |
| 307 | #41 | — | 2 | 48 | no | — |
| 308 | #41 | — | 2 | 24 | no | — |
| 309 | #41 | — | 2 | 12 | no | — |
| 310 | #41 | — | 2 | 12 | no | — |
| 311 | #41 | — | 2 | 12 | no | — |
| 312 | #41 | — | 2 | 4 | no | — |
| 313 | #41 | — | 2 | 12 | no | — |
| 314 | #41 | — | 2 | 12 | no | — |
| 315 | #41 | — | 2 | 12 | no | — |
| 316 | #41 | — | 2 | 12 | no | — |
| 317 | #41 | — | 2 | 6 | no | — |
| 318 | #41 | — | 2 | 6 | no | — |
| 319 | #41 | — | 2 | 6 | no | — |
| 320 | #41 | — | 2 | 12 | no | — |
| 321 | #41 | — | 2 | 12 | no | — |
| 322 | #41 | C2×C22⋊D61 | 1 | 12 | yes | — |
| 323 | C2×Q8 | — | 2 | 24 | no | — |
| 324 | C2×Q8 | — | 2 | 24 | no | — |
| 325 | C2×Q8 | — | 2 | 24 | no | — |
| 326 | C2×Q8 | — | 2 | 6 | no | — |
| 327 | C2×Q8 | — | 2 | 6 | no | — |
| 328 | C2×Q8 | — | 2 | 12 | no | — |
| 329 | C2×Q8 | — | 2 | 12 | no | — |
| 330 | C2×Q8 | — | 2 | 12 | no | — |
| 331 | C2×Q8 | — | 2 | 3 | no | — |
| 332 | C2×Q8 | — | 2 | 6 | no | — |
| 333 | C2×Q8 | — | 122 | 3 | no | — |
| 334 | C2×Q8 | — | 122 | 3 | no | — |
| 335 | C2×Q8 | C2×C22⋊D61 | 1 | 3 | yes | — |
| 336 | C2×Q8 | C2×C22⋊D61 | 1 | 6 | yes | — |
| 337 | C2×Q8 | C2×C22⋊D61 | 1 | 3 | yes | — |
| 338 | C2×D4 | — | 2 | 24 | no | — |
| 339 | C2×D4 | — | 2 | 24 | no | — |
| 340 | C2×D4 | — | 2 | 24 | no | — |
| 341 | C2×D4 | — | 2 | 6 | no | — |
| 342 | C2×D4 | — | 2 | 6 | no | — |
| 343 | C2×D4 | — | 2 | 3 | no | — |
| 344 | C2×D4 | — | 2 | 12 | no | — |
| 345 | C2×D4 | — | 2 | 12 | no | — |
| 346 | C2×D4 | — | 2 | 6 | no | — |
| 347 | C2×D4 | — | 2 | 12 | no | — |
| 348 | C2×D4 | C2×C22⋊D61 | 1 | 3 | yes | — |
| 349 | C2×D4 | C2×C22⋊D61 | 1 | 3 | yes | — |
| 350 | C2×D4 | C2×C22⋊D61 | 1 | 6 | yes | — |
| 351 | C22×C4 | — | 2 | 8 | no | — |
| 352 | C22×C4 | — | 2 | 24 | no | — |
| 353 | C22×C4 | — | 2 | 12 | no | — |
| 354 | C22×C4 | — | 2 | 4 | no | — |
| 355 | C22×C4 | — | 2 | 1 | no | — |
| 356 | C22×C4 | — | 2 | 6 | no | — |
| 357 | C22×C4 | — | 2 | 3 | no | — |
| 358 | C22×C4 | — | 2 | 6 | no | — |
| 359 | C22×C4 | — | 122 | 1 | no | — |
| 360 | C22×C4 | C2×C22⋊D61 | 1 | 6 | yes | — |
| 361 | C22×C4 | C23×D61 | 1 | 1 | yes | characteristic |
| 362 | Q16 | — | 244 | 4 | no | — |
| 363 | Q16 | — | 244 | 6 | no | — |
| 364 | SD16 | — | 244 | 6 | no | — |
| 365 | M16 | — | 122 | 6 | no | — |
| 366 | C2×C8 | — | 122 | 3 | no | — |
| 367 | C2×C8 | — | 122 | 3 | no | — |
| 368 | C4⋊C4 | — | 122 | 3 | no | — |
| 369 | C4⋊C4 | — | 244 | 6 | no | — |
| 370 | C22⋊C4 | — | 122 | 3 | no | — |
| 371 | C22⋊C4 | — | 244 | 6 | no | — |
| 372 | C42 | — | 122 | 3 | no | — |
| 373 | C23 | — | 2 | 4 | no | — |
| 374 | C23 | — | 2 | 12 | no | — |
| 375 | C23 | — | 2 | 3 | no | — |
| 376 | C23 | #14519746 | 1 | 6 | yes | — |
| 377 | C23 | C22×C22⋊D61 | 1 | 1 | yes | characteristic |
| 378 | Q8 | — | 2 | 12 | no | — |
| 379 | Q8 | — | 2 | 24 | no | — |
| 380 | Q8 | — | 2 | 4 | no | — |
| 381 | Q8 | — | 2 | 3 | no | — |
| 382 | Q8 | — | 2 | 6 | no | — |
| 383 | Q8 | — | 2 | 6 | no | — |
| 384 | Q8 | — | 244 | 3 | no | — |
| 385 | Q8 | — | 244 | 1 | no | — |
| 386 | Q8 | #14519746 | 1 | 6 | yes | — |
| 387 | Q8 | #14519746 | 1 | 4 | yes | — |
| 388 | D4 | — | 2 | 24 | no | — |
| 389 | D4 | — | 2 | 24 | no | — |
| 390 | D4 | — | 2 | 12 | no | — |
| 391 | D4 | — | 2 | 12 | no | — |
| 392 | D4 | — | 2 | 12 | no | — |
| 393 | D4 | — | 2 | 12 | no | — |
| 394 | D4 | — | 2 | 3 | no | — |
| 395 | D4 | — | 2 | 6 | no | — |
| 396 | D4 | #14519746 | 1 | 6 | yes | — |
| 397 | C2×C4 | — | 2 | 12 | no | — |
| 398 | C2×C4 | — | 2 | 24 | no | — |
| 399 | C2×C4 | — | 2 | 24 | no | — |
| 400 | C2×C4 | — | 2 | 24 | no | — |
| 401 | C2×C4 | — | 2 | 12 | no | — |
| 402 | C2×C4 | — | 2 | 6 | no | — |
| 403 | C2×C4 | — | 2 | 3 | no | — |
| 404 | C2×C4 | — | 2 | 12 | no | — |
| 405 | C2×C4 | — | 2 | 6 | no | — |
| 406 | C2×C4 | — | 2 | 6 | no | — |
| 407 | C2×C4 | — | 244 | 3 | no | — |
| 408 | C2×C4 | — | 244 | 3 | no | — |
| 409 | C2×C4 | #14519746 | 1 | 6 | yes | — |
| 410 | C2×C4 | C22×C22⋊D61 | 1 | 3 | yes | — |
| 411 | C2×C4 | C22×C22⋊D61 | 1 | 3 | yes | — |
| 412 | C8 | — | 244 | 1 | no | — |
| 413 | C8 | — | 244 | 3 | no | — |
| 414 | C22 | — | 2 | 6 | no | — |
| 415 | C22 | — | 2 | 6 | no | — |
| 416 | C22 | — | 4 | 1 | no | — |
| 417 | C22 | — | 4 | 6 | no | — |
| 418 | C22 | — | 8 | 3 | no | — |
| 419 | C22 | — | 8 | 4 | no | — |
| 420 | C22 | — | 8 | 12 | no | — |
| 421 | C22 | C2×#14519746 | 1 | 3 | yes | — |
| 422 | C4 | — | 2 | 4 | no | — |
| 423 | C4 | — | 2 | 6 | no | — |
| 424 | C4 | — | 2 | 6 | no | — |
| 425 | C4 | — | 488 | 3 | no | — |
| 426 | C4 | — | 488 | 1 | no | — |
| 427 | C4 | C2×#14519746 | 1 | 1 | yes | characteristic |
| 428 | C4 | C2×#14519746 | 1 | 3 | yes | — |
| 429 | C2 | — | 2 | 3 | no | — |
| 430 | C2 | — | 4 | 6 | no | — |
| 431 | C2 | — | 4 | 6 | no | — |
| 432 | C2 | #21454096 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #21455225 | C2 | semidirect |
| 2. #21455198 | C2 | semidirect |
| 3. #21455114 | C2 | semidirect |
| 4. #21445794 | C2 | semidirect |
| 5. #21445783 | C2 | semidirect |
| 6. #21445770 | C2 | semidirect |
| 8. C2×#14519807 | C22 | semidirect |
| 9. C22×#11758202 | C22 | semidirect |
| 10. #16840333 | C22 | semidirect |
| 16. #16839779 | C22 | semidirect |
| 17. #16839771 | C22 | semidirect |
| 18. #16839758 | C22 | semidirect |
| 19. #16839746 | C22 | semidirect |
| 20. #16839736 | C22 | semidirect |
| 21. #16839729 | C22 | semidirect |
| 246. C61 | #32897 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21455225 | 2 |
| #21455198 | 2 |
| #21455114 | 2 |
| #21445794 | 2 |
| #21445783 | 2 |
| #21445770 | 2 |
| C61×2−1+6 | 2 |
| #32897 | 61 |