Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1691 conjugacy classes of subgroups; only the 172 normal subgroups are shown.
This group has 1691 conjugacy classes of subgroups — too many to draw. Only its 172 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 | #10596675 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10596145 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10595323 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C3×#5061 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10591658 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10591510 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10591503 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10590397 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10590394 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #80292 | — | 3 | 2 | no | maximal |
| 11 | C2×#3832 | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | C2×D4×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 13 | C3×#1004 | C22 | 1 | 2 | yes | — |
| 14 | #64330 | — | 2 | 2 | no | — |
| 15 | C2×#3811 | — | 2 | 2 | no | — |
| 16 | #64314 | — | 2 | 4 | no | — |
| 17 | #64312 | — | 2 | 2 | no | — |
| 18 | D32×D4 | — | 2 | 2 | no | — |
| 19 | #64308 | C22 | 1 | 2 | yes | — |
| 20 | #64306 | C22 | 1 | 2 | yes | — |
| 21 | C32×#124 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #64156 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #64149 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #64093 | — | 2 | 2 | no | — |
| 25 | #64091 | — | 2 | 2 | no | — |
| 26 | #64083 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #64081 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C3×#942 | C22 | 1 | 4 | yes | complemented |
| 29 | #63950 | — | 2 | 4 | no | — |
| 30 | #63945 | — | 2 | 2 | no | — |
| 31 | #63941 | — | 2 | 2 | no | — |
| 32 | #63825 | C22 | 1 | 4 | yes | complemented |
| 33 | #63818 | C22 | 1 | 2 | yes | complemented |
| 34 | C3×#833 | C22 | 1 | 2 | yes | complemented |
| 35 | C3×#805 | C22 | 1 | 4 | yes | complemented |
| 36 | #63568 | C22 | 1 | 4 | yes | complemented |
| 37 | #63559 | C22 | 1 | 2 | yes | complemented |
| 38 | D3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 39 | #5777 | — | 3 | 4 | no | — |
| 40 | #5674 | — | 3 | 2 | no | — |
| 41 | #5674 | — | 6 | 1 | no | — |
| 42 | C3×#455 | — | 3 | 2 | no | — |
| 43 | #5241 | — | 3 | 2 | no | — |
| 44 | #5202 | — | 3 | 4 | no | — |
| 45 | #5061 | D3 | 1 | 2 | yes | complemented |
| 46 | #4822 | — | 3 | 4 | no | — |
| 47 | #4821 | — | 3 | 4 | no | — |
| 48 | #4747 | — | 3 | 2 | no | — |
| 49 | D3×#100 | — | 3 | 2 | no | — |
| 50 | C23×C3⋊D3 | D4 | 1 | 2 | yes | — |
| 51 | C22×D32 | — | 2 | 2 | no | — |
| 52 | C2×C32×Q8 | C23 | 1 | 1 | yes | characteristic, complemented |
| 53 | C2×C32×D4 | C23 | 1 | 1 | yes | characteristic |
| 54 | C2×#638 | — | 2 | 2 | no | — |
| 55 | C2×#638 | D4 | 1 | 2 | yes | — |
| 56 | #3832 | — | 2 | 2 | no | — |
| 57 | #3832 | — | 2 | 2 | no | — |
| 58 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 59 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 60 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 61 | C2×C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 62 | C2×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 63 | C2×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic, complemented |
| 64 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 65 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×C3×#67 | — | 2 | 4 | no | — |
| 67 | C3×#237 | — | 2 | 4 | no | — |
| 68 | C3×D3×D4 | — | 2 | 4 | no | — |
| 69 | C3×#235 | C23 | 1 | 4 | yes | — |
| 70 | #3811 | — | 2 | 4 | no | — |
| 71 | #3811 | — | 2 | 4 | no | — |
| 72 | #3811 | — | 2 | 2 | no | — |
| 73 | #3811 | — | 2 | 4 | no | — |
| 74 | D3×#67 | — | 2 | 8 | no | — |
| 75 | C2×#626 | — | 2 | 4 | no | — |
| 76 | C2×#624 | — | 2 | 2 | no | — |
| 77 | #3805 | — | 2 | 2 | no | — |
| 78 | #3804 | — | 2 | 8 | no | — |
| 79 | #3802 | D4 | 1 | 2 | yes | complemented |
| 80 | D3×D12 | — | 2 | 4 | no | — |
| 81 | C4×D32 | — | 2 | 2 | no | — |
| 82 | #3799 | — | 2 | 4 | no | — |
| 83 | #3798 | — | 2 | 2 | no | — |
| 84 | #3797 | D4 | 1 | 2 | yes | complemented |
| 85 | #3796 | D4 | 1 | 4 | yes | complemented |
| 86 | C32×C22⋊C4 | — | 2 | 2 | no | — |
| 87 | C32×C42 | C23 | 1 | 1 | yes | characteristic, complemented |
| 88 | #3752 | — | 2 | 1 | no | — |
| 89 | #3752 | — | 2 | 2 | no | — |
| 90 | #3750 | — | 2 | 1 | no | — |
| 91 | C4×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic, complemented |
| 92 | C3×#216 | — | 2 | 4 | no | — |
| 93 | C3×#215 | — | 2 | 4 | no | — |
| 94 | C3×#208 | C23 | 1 | 4 | yes | complemented |
| 95 | #3717 | — | 2 | 4 | no | — |
| 96 | #3714 | — | 2 | 4 | no | — |
| 97 | #3712 | — | 2 | 2 | no | — |
| 98 | #3710 | — | 2 | 2 | no | — |
| 99 | #3019 | — | 9 | 1 | no | Sylow |
| 100 | C3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 101 | #1009 | — | 3 | 4 | no | — |
| 102 | #1009 | — | 6 | 4 | no | — |
| 103 | D3×#41 | — | 3 | 4 | no | — |
| 104 | D3×#41 | — | 6 | 4 | no | — |
| 105 | C2×#239 | — | 3 | 2 | no | — |
| 106 | C2×#239 | — | 6 | 1 | no | — |
| 107 | #1004 | — | 6 | 4 | no | — |
| 108 | #1004 | — | 6 | 4 | no | — |
| 109 | #1004 | C2×D3 | 1 | 2 | yes | — |
| 110 | C2×D3×D4 | — | 3 | 2 | no | — |
| 111 | C2×D3×D4 | — | 6 | 1 | no | — |
| 112 | C2×D3×D4 | — | 6 | 4 | no | — |
| 113 | C2×D3×D4 | — | 6 | 4 | no | — |
| 114 | C3×#137 | — | 3 | 4 | no | — |
| 115 | C3×#124 | — | 2 | 1 | no | — |
| 116 | C3×#124 | C2×D3 | 1 | 2 | yes | complemented |
| 117 | #949 | — | 3 | 4 | no | — |
| 118 | #947 | — | 3 | 2 | no | — |
| 119 | #947 | — | 6 | 1 | no | — |
| 120 | #942 | C2×D3 | 1 | 4 | yes | complemented |
| 121 | #940 | — | 3 | 2 | no | — |
| 122 | #940 | — | 6 | 1 | no | — |
| 123 | #919 | — | 6 | 4 | no | — |
| 124 | #918 | — | 6 | 4 | no | — |
| 125 | #916 | — | 6 | 4 | no | — |
| 126 | #914 | — | 6 | 4 | no | — |
| 127 | #908 | — | 3 | 4 | no | — |
| 128 | D3×M16 | — | 3 | 4 | no | — |
| 129 | #884 | — | 6 | 4 | no | — |
| 130 | #884 | — | 6 | 4 | no | — |
| 131 | #882 | — | 6 | 4 | no | — |
| 132 | #882 | — | 6 | 4 | no | — |
| 133 | #874 | — | 3 | 2 | no | — |
| 134 | #874 | — | 6 | 1 | no | — |
| 135 | #872 | — | 3 | 2 | no | — |
| 136 | #872 | — | 6 | 1 | no | — |
| 137 | C3×#104 | — | 3 | 4 | no | — |
| 138 | C3×#100 | — | 3 | 2 | no | — |
| 139 | #837 | — | 3 | 4 | no | — |
| 140 | #833 | C2×D3 | 1 | 2 | yes | complemented |
| 141 | #825 | — | 3 | 4 | no | — |
| 142 | #823 | — | 3 | 4 | no | — |
| 143 | #805 | C2×D3 | 1 | 4 | yes | complemented |
| 144 | C23×C32 | C2×D4 | 1 | 2 | yes | — |
| 145 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 146 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 147 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 148 | C22×C3⋊D3 | — | 8 | 2 | no | — |
| 149 | C22×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 150 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 151 | C22×C3×D3 | — | 2 | 4 | no | — |
| 152 | C2×D32 | — | 2 | 2 | no | — |
| 153 | C2×D32 | — | 2 | 4 | no | — |
| 154 | C2×D32 | — | 8 | 4 | no | — |
| 155 | C32×Q8 | — | 2 | 2 | no | — |
| 156 | C32×D4 | — | 2 | 2 | no | — |
| 157 | C2×C32×C4 | — | 2 | 1 | no | — |
| 158 | C2×C32×C4 | — | 2 | 1 | no | — |
| 159 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 160 | #638 | — | 2 | 4 | no | — |
| 161 | #638 | — | 8 | 2 | no | — |
| 162 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 163 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 164 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 165 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 166 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 167 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 168 | C4⋊(C3⋊D3) | — | 8 | 2 | no | — |
| 169 | C4×C3⋊D3 | — | 4 | 2 | no | — |
| 170 | C4×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 171 | C4×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 172 | C3×#67 | — | 2 | 8 | no | — |
| 173 | C3×#67 | — | 2 | 4 | no | — |
| 174 | C2×C3×Dic3 | — | 2 | 4 | no | — |
| 175 | C3×D12 | C2×D4 | 1 | 4 | yes | — |
| 176 | C3×C4×D3 | — | 2 | 4 | no | — |
| 177 | C3×Dic6 | C2×D4 | 1 | 4 | yes | — |
| 178 | #627 | — | 2 | 2 | no | — |
| 179 | #626 | — | 2 | 8 | no | — |
| 180 | #626 | — | 2 | 4 | no | — |
| 181 | #625 | — | 2 | 2 | no | — |
| 182 | #624 | — | 2 | 4 | no | — |
| 183 | #624 | — | 2 | 2 | no | — |
| 184 | D3×Dic3 | — | 2 | 4 | no | — |
| 185 | C3×C3⋊C8 | — | 2 | 4 | no | — |
| 186 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 187 | #575 | — | 9 | 2 | no | — |
| 188 | #535 | — | 9 | 1 | no | — |
| 189 | #455 | — | 3 | 2 | no | — |
| 190 | #455 | — | 9 | 2 | no | — |
| 191 | #453 | — | 9 | 2 | no | — |
| 192 | #453 | — | 9 | 2 | no | — |
| 193 | #421 | — | 9 | 2 | no | — |
| 194 | C2×#100 | — | 9 | 1 | no | — |
| 195 | C23×D3 | — | 3 | 4 | no | — |
| 196 | C23×D3 | — | 6 | 2 | no | — |
| 197 | C23×D3 | — | 6 | 4 | no | — |
| 198 | C3×#41 | — | 3 | 4 | no | — |
| 199 | C3×#41 | — | 6 | 4 | no | — |
| 200 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 201 | C2×C3×Q8 | C22×D3 | 1 | 2 | yes | complemented |
| 202 | C2×C3×D4 | — | 2 | 1 | no | — |
| 203 | C2×C3×D4 | — | 6 | 4 | no | — |
| 204 | C2×C3×D4 | — | 6 | 4 | no | — |
| 205 | C2×C3×D4 | C22×D3 | 1 | 2 | yes | — |
| 206 | C2×#67 | — | 2 | 4 | no | — |
| 207 | C2×#67 | — | 3 | 4 | no | — |
| 208 | C2×#67 | — | 6 | 2 | no | — |
| 209 | C2×#67 | — | 6 | 4 | no | — |
| 210 | C2×#67 | — | 6 | 8 | no | — |
| 211 | C2×#67 | — | 6 | 4 | no | — |
| 212 | C2×#67 | — | 6 | 4 | no | — |
| 213 | #239 | — | 3 | 4 | no | — |
| 214 | #239 | — | 6 | 4 | no | — |
| 215 | #239 | — | 6 | 4 | no | — |
| 216 | #239 | — | 6 | 4 | no | — |
| 217 | #239 | — | 12 | 2 | no | — |
| 218 | #239 | — | 12 | 2 | no | — |
| 219 | D3×Q8 | — | 3 | 4 | no | — |
| 220 | #237 | — | 2 | 4 | no | — |
| 221 | #237 | — | 3 | 4 | no | — |
| 222 | #237 | — | 6 | 8 | no | — |
| 223 | #237 | — | 6 | 4 | no | — |
| 224 | D3×D4 | — | 2 | 4 | no | — |
| 225 | D3×D4 | — | 3 | 4 | no | — |
| 226 | D3×D4 | — | 6 | 4 | no | — |
| 227 | D3×D4 | — | 6 | 4 | no | — |
| 228 | D3×D4 | — | 6 | 4 | no | — |
| 229 | D3×D4 | — | 6 | 4 | no | — |
| 230 | D3×D4 | — | 6 | 8 | no | — |
| 231 | D3×D4 | — | 6 | 8 | no | — |
| 232 | D3×D4 | — | 6 | 8 | no | — |
| 233 | D3×D4 | — | 6 | 8 | no | — |
| 234 | D3×D4 | — | 12 | 2 | no | — |
| 235 | D3×D4 | — | 12 | 2 | no | — |
| 236 | #235 | — | 6 | 4 | no | — |
| 237 | #235 | — | 6 | 8 | no | — |
| 238 | #235 | — | 6 | 4 | no | — |
| 239 | #235 | C22×D3 | 1 | 4 | yes | — |
| 240 | C2×D12 | — | 3 | 2 | no | — |
| 241 | C2×D12 | — | 3 | 2 | no | — |
| 242 | C2×D12 | — | 6 | 1 | no | — |
| 243 | C2×D12 | — | 6 | 1 | no | — |
| 244 | C2×D12 | — | 6 | 4 | no | — |
| 245 | C2×D12 | — | 6 | 4 | no | — |
| 246 | C2×D12 | — | 6 | 2 | no | — |
| 247 | C2×D12 | — | 6 | 2 | no | — |
| 248 | C2×D12 | — | 6 | 4 | no | — |
| 249 | C2×D12 | — | 6 | 4 | no | — |
| 250 | C2×C4×D3 | — | 3 | 2 | no | — |
| 251 | C2×C4×D3 | — | 6 | 1 | no | — |
| 252 | C2×C4×D3 | — | 6 | 4 | no | — |
| 253 | C2×C4×D3 | — | 6 | 4 | no | — |
| 254 | C2×C4×D3 | — | 6 | 2 | no | — |
| 255 | C2×C4×D3 | — | 6 | 2 | no | — |
| 256 | C3×Q16 | — | 6 | 4 | no | — |
| 257 | C3×SD16 | — | 6 | 4 | no | — |
| 258 | C3×M16 | — | 3 | 4 | no | — |
| 259 | C3×C22⋊C4 | — | 2 | 4 | no | — |
| 260 | C3×C22⋊C4 | — | 2 | 4 | no | — |
| 261 | C3×C42 | — | 2 | 1 | no | — |
| 262 | C3×C42 | C22×D3 | 1 | 2 | yes | complemented |
| 263 | #216 | — | 2 | 4 | no | — |
| 264 | #215 | — | 2 | 4 | no | — |
| 265 | #215 | — | 6 | 4 | no | — |
| 266 | #213 | — | 6 | 4 | no | — |
| 267 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 268 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 269 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 270 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 271 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 272 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 273 | C4×Dic3 | — | 3 | 2 | no | — |
| 274 | C4×Dic3 | — | 6 | 1 | no | — |
| 275 | #208 | C22×D3 | 1 | 4 | yes | complemented |
| 276 | D24 | — | 6 | 4 | no | — |
| 277 | #204 | — | 6 | 4 | no | — |
| 278 | ΓL(1,𝔽25) | — | 6 | 4 | no | — |
| 279 | D3×C8 | — | 6 | 4 | no | — |
| 280 | C22×C32 | — | 2 | 2 | no | — |
| 281 | C22×C32 | — | 4 | 2 | no | — |
| 282 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 283 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 284 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 285 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 286 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 287 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 288 | C2×C3⋊D3 | — | 4 | 4 | no | — |
| 289 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 290 | C2×C3⋊D3 | #120 | 1 | 1 | yes | characteristic |
| 291 | C2×C3⋊D3 | #120 | 1 | 1 | yes | characteristic |
| 292 | C2×C3×D3 | — | 2 | 4 | no | — |
| 293 | C2×C3×D3 | — | 8 | 4 | no | — |
| 294 | D32 | — | 4 | 4 | no | — |
| 295 | D32 | — | 8 | 4 | no | — |
| 296 | C32×C4 | — | 4 | 1 | no | — |
| 297 | C32×C4 | — | 4 | 1 | no | — |
| 298 | C32×C4 | C22×D4 | 1 | 2 | yes | — |
| 299 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 300 | C3⋊Dic3 | #120 | 1 | 2 | yes | — |
| 301 | C3×Dic3 | — | 2 | 4 | no | — |
| 302 | H(5,𝔽2) | — | 3 | 2 | no | — |
| 303 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 304 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 305 | H(5,𝔽2) | — | 18 | 4 | no | — |
| 306 | C2×#41 | — | 9 | 2 | no | — |
| 307 | C2×#41 | — | 9 | 1 | no | — |
| 308 | C2×#41 | — | 18 | 2 | no | — |
| 309 | C22×D4 | — | 9 | 1 | no | — |
| 310 | C22×D4 | — | 18 | 2 | no | — |
| 311 | C22×D4 | — | 18 | 2 | no | — |
| 312 | #137 | — | 3 | 4 | no | — |
| 313 | #137 | — | 18 | 2 | no | — |
| 314 | AGL(1,ℤ/8) | — | 9 | 4 | no | — |
| 315 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 316 | #135 | — | 18 | 4 | no | — |
| 317 | C2×M16 | — | 9 | 2 | no | — |
| 318 | #127 | — | 9 | 1 | no | — |
| 319 | #127 | — | 9 | 1 | no | — |
| 320 | #124 | — | 9 | 1 | no | — |
| 321 | #124 | D32 | 1 | 1 | yes | characteristic, complemented |
| 322 | #121 | — | 18 | 2 | no | — |
| 323 | #120 | — | 18 | 2 | no | — |
| 324 | #117 | — | 9 | 1 | no | — |
| 325 | #104 | — | 3 | 4 | no | — |
| 326 | #104 | — | 9 | 4 | no | — |
| 327 | #100 | — | 3 | 2 | no | — |
| 328 | #100 | — | 9 | 2 | no | — |
| 329 | C23×C3 | — | 2 | 2 | no | — |
| 330 | C23×C3 | — | 6 | 4 | no | — |
| 331 | C23×C3 | D3×D4 | 1 | 4 | yes | — |
| 332 | C22×D3 | — | 2 | 4 | no | — |
| 333 | C22×D3 | — | 3 | 2 | no | — |
| 334 | C22×D3 | — | 3 | 4 | no | — |
| 335 | C22×D3 | — | 6 | 1 | no | — |
| 336 | C22×D3 | — | 6 | 2 | no | — |
| 337 | C22×D3 | — | 6 | 4 | no | — |
| 338 | C22×D3 | — | 6 | 8 | no | — |
| 339 | C22×D3 | — | 6 | 4 | no | — |
| 340 | C22×D3 | — | 6 | 4 | no | — |
| 341 | C22×D3 | — | 6 | 2 | no | — |
| 342 | C22×D3 | — | 6 | 2 | no | — |
| 343 | C22×D3 | — | 12 | 2 | no | — |
| 344 | C22×D3 | — | 12 | 2 | no | — |
| 345 | C22×D3 | — | 24 | 8 | no | — |
| 346 | C22×D3 | — | 24 | 4 | no | — |
| 347 | C22×D3 | — | 24 | 4 | no | — |
| 348 | C3×Q8 | — | 2 | 4 | no | — |
| 349 | C3×Q8 | — | 3 | 4 | no | — |
| 350 | C3×Q8 | — | 4 | 2 | no | — |
| 351 | C3×D4 | — | 2 | 4 | no | — |
| 352 | C3×D4 | — | 3 | 4 | no | — |
| 353 | C3×D4 | — | 4 | 2 | no | — |
| 354 | C3×D4 | — | 6 | 8 | no | — |
| 355 | C3×D4 | — | 6 | 4 | no | — |
| 356 | C2×C3×C4 | — | 2 | 2 | no | — |
| 357 | C2×C3×C4 | — | 2 | 2 | no | — |
| 358 | C2×C3×C4 | — | 2 | 2 | no | — |
| 359 | C2×C3×C4 | — | 2 | 2 | no | — |
| 360 | C2×C3×C4 | — | 2 | 1 | no | — |
| 361 | C2×C3×C4 | — | 6 | 4 | no | — |
| 362 | C2×C3×C4 | — | 6 | 4 | no | — |
| 363 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 364 | #67 | — | 2 | 8 | no | — |
| 365 | #67 | — | 2 | 4 | no | — |
| 366 | #67 | — | 6 | 4 | no | — |
| 367 | #67 | — | 6 | 8 | no | — |
| 368 | #67 | — | 6 | 4 | no | — |
| 369 | #67 | — | 6 | 8 | no | — |
| 370 | #67 | — | 12 | 4 | no | — |
| 371 | #67 | — | 24 | 4 | no | — |
| 372 | #67 | — | 24 | 4 | no | — |
| 373 | C2×Dic3 | — | 2 | 4 | no | — |
| 374 | C2×Dic3 | — | 3 | 2 | no | — |
| 375 | C2×Dic3 | — | 6 | 1 | no | — |
| 376 | C2×Dic3 | — | 6 | 4 | no | — |
| 377 | C2×Dic3 | — | 6 | 2 | no | — |
| 378 | C2×Dic3 | — | 6 | 2 | no | — |
| 379 | D12 | — | 6 | 4 | no | — |
| 380 | D12 | — | 6 | 8 | no | — |
| 381 | D12 | — | 6 | 4 | no | — |
| 382 | D12 | — | 6 | 4 | no | — |
| 383 | D12 | — | 12 | 2 | no | — |
| 384 | D12 | — | 12 | 2 | no | — |
| 385 | D12 | — | 12 | 2 | no | — |
| 386 | D12 | — | 12 | 2 | no | — |
| 387 | D12 | — | 12 | 2 | no | — |
| 388 | D12 | — | 12 | 2 | no | — |
| 389 | D12 | — | 24 | 4 | no | — |
| 390 | D12 | — | 24 | 4 | no | — |
| 391 | D12 | D3×D4 | 1 | 4 | yes | — |
| 392 | C4×D3 | — | 2 | 4 | no | — |
| 393 | C4×D3 | — | 3 | 4 | no | — |
| 394 | C4×D3 | — | 3 | 4 | no | — |
| 395 | C4×D3 | — | 6 | 2 | no | — |
| 396 | C4×D3 | — | 6 | 2 | no | — |
| 397 | C4×D3 | — | 6 | 4 | no | — |
| 398 | C4×D3 | — | 6 | 8 | no | — |
| 399 | C4×D3 | — | 6 | 4 | no | — |
| 400 | C4×D3 | — | 12 | 4 | no | — |
| 401 | C4×D3 | — | 12 | 4 | no | — |
| 402 | Dic6 | — | 6 | 4 | no | — |
| 403 | Dic6 | D3×D4 | 1 | 4 | yes | — |
| 404 | C3×C8 | — | 6 | 4 | no | — |
| 405 | C3⋊C8 | — | 2 | 4 | no | — |
| 406 | C2×C32 | — | 2 | 1 | no | — |
| 407 | C2×C32 | — | 4 | 2 | no | — |
| 408 | C2×C32 | C2×#120 | 1 | 1 | yes | characteristic |
| 409 | C3⋊D3 | — | 2 | 1 | no | — |
| 410 | C3⋊D3 | — | 2 | 1 | no | — |
| 411 | C3⋊D3 | — | 4 | 2 | no | — |
| 412 | C3⋊D3 | — | 8 | 1 | no | — |
| 413 | C3×D3 | — | 4 | 4 | no | — |
| 414 | C24 | — | 9 | 2 | no | — |
| 415 | C24 | — | 18 | 2 | no | — |
| 416 | #41 | — | 3 | 4 | no | — |
| 417 | #41 | — | 6 | 4 | no | — |
| 418 | #41 | — | 9 | 4 | no | — |
| 419 | #41 | — | 18 | 2 | no | — |
| 420 | #41 | — | 18 | 8 | no | — |
| 421 | #41 | — | 18 | 4 | no | — |
| 422 | #41 | — | 18 | 2 | no | — |
| 423 | #41 | — | 18 | 2 | no | — |
| 424 | #41 | — | 18 | 2 | no | — |
| 425 | C2×Q8 | — | 9 | 2 | no | — |
| 426 | C2×Q8 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 427 | C2×D4 | — | 6 | 4 | no | — |
| 428 | C2×D4 | — | 6 | 4 | no | — |
| 429 | C2×D4 | — | 9 | 2 | no | — |
| 430 | C2×D4 | — | 9 | 2 | no | — |
| 431 | C2×D4 | — | 9 | 1 | no | — |
| 432 | C2×D4 | — | 9 | 1 | no | — |
| 433 | C2×D4 | — | 18 | 1 | no | — |
| 434 | C2×D4 | — | 18 | 2 | no | — |
| 435 | C2×D4 | — | 18 | 4 | no | — |
| 436 | C2×D4 | — | 18 | 4 | no | — |
| 437 | C2×D4 | — | 18 | 2 | no | — |
| 438 | C2×D4 | — | 18 | 2 | no | — |
| 439 | C2×D4 | — | 18 | 2 | no | — |
| 440 | C2×D4 | — | 18 | 4 | no | — |
| 441 | C2×D4 | — | 18 | 4 | no | — |
| 442 | C2×D4 | — | 18 | 4 | no | — |
| 443 | C2×D4 | — | 18 | 8 | no | — |
| 444 | C2×D4 | — | 18 | 2 | no | — |
| 445 | C2×D4 | C2×D32 | 1 | 1 | yes | characteristic |
| 446 | C22×C4 | — | 9 | 1 | no | — |
| 447 | C22×C4 | — | 18 | 1 | no | — |
| 448 | C22×C4 | — | 18 | 2 | no | — |
| 449 | C22×C4 | — | 18 | 2 | no | — |
| 450 | Q16 | — | 6 | 4 | no | — |
| 451 | SD16 | — | 6 | 4 | no | — |
| 452 | SD16 | — | 18 | 4 | no | — |
| 453 | D8 | — | 18 | 4 | no | — |
| 454 | M16 | — | 3 | 4 | no | — |
| 455 | M16 | — | 18 | 2 | no | — |
| 456 | C2×C8 | — | 18 | 2 | no | — |
| 457 | C4⋊C4 | — | 18 | 1 | no | — |
| 458 | C22⋊C4 | — | 2 | 2 | no | — |
| 459 | C22⋊C4 | — | 18 | 1 | no | — |
| 460 | C22⋊C4 | — | 18 | 2 | no | — |
| 461 | C42 | — | 9 | 1 | no | — |
| 462 | C42 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 463 | C22×C3 | — | 2 | 4 | no | — |
| 464 | C22×C3 | — | 2 | 1 | no | — |
| 465 | C22×C3 | — | 4 | 2 | no | — |
| 466 | C22×C3 | — | 4 | 4 | no | — |
| 467 | C22×C3 | — | 4 | 4 | no | — |
| 468 | C22×C3 | — | 6 | 4 | no | — |
| 469 | C22×C3 | — | 24 | 4 | no | — |
| 470 | C22×C3 | C2×D3×D4 | 1 | 2 | yes | — |
| 471 | C2×D3 | — | 2 | 4 | no | — |
| 472 | C2×D3 | — | 3 | 2 | no | — |
| 473 | C2×D3 | — | 3 | 2 | no | — |
| 474 | C2×D3 | — | 6 | 1 | no | — |
| 475 | C2×D3 | — | 6 | 1 | no | — |
| 476 | C2×D3 | — | 6 | 4 | no | — |
| 477 | C2×D3 | — | 8 | 4 | no | — |
| 478 | C2×D3 | — | 12 | 2 | no | — |
| 479 | C2×D3 | — | 12 | 8 | no | — |
| 480 | C2×D3 | — | 12 | 2 | no | — |
| 481 | C2×D3 | — | 12 | 8 | no | — |
| 482 | C2×D3 | — | 12 | 2 | no | — |
| 483 | C2×D3 | — | 12 | 4 | no | — |
| 484 | C2×D3 | — | 12 | 2 | no | — |
| 485 | C2×D3 | — | 12 | 4 | no | — |
| 486 | C2×D3 | — | 12 | 4 | no | — |
| 487 | C2×D3 | — | 12 | 4 | no | — |
| 488 | C2×D3 | — | 12 | 2 | no | — |
| 489 | C2×D3 | — | 24 | 4 | no | — |
| 490 | C2×D3 | — | 24 | 8 | no | — |
| 491 | C2×D3 | — | 24 | 4 | no | — |
| 492 | C2×D3 | — | 24 | 4 | no | — |
| 493 | C3×C4 | — | 2 | 2 | no | — |
| 494 | C3×C4 | — | 4 | 2 | no | — |
| 495 | C3×C4 | — | 4 | 2 | no | — |
| 496 | C3×C4 | — | 4 | 2 | no | — |
| 497 | C3×C4 | — | 4 | 2 | no | — |
| 498 | C3×C4 | — | 6 | 4 | no | — |
| 499 | C3×C4 | C2×D3×D4 | 1 | 4 | yes | — |
| 500 | Dic3 | — | 2 | 4 | no | — |
| 501 | Dic3 | — | 3 | 4 | no | — |
| 502 | Dic3 | — | 6 | 2 | no | — |
| 503 | Dic3 | — | 12 | 2 | no | — |
| 504 | Dic3 | — | 12 | 2 | no | — |
| 505 | C32 | #3019 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 506 | C23 | — | 6 | 4 | no | — |
| 507 | C23 | — | 9 | 1 | no | — |
| 508 | C23 | — | 9 | 2 | no | — |
| 509 | C23 | — | 18 | 2 | no | — |
| 510 | C23 | — | 18 | 2 | no | — |
| 511 | C23 | — | 18 | 2 | no | — |
| 512 | C23 | — | 18 | 4 | no | — |
| 513 | C23 | — | 18 | 1 | no | — |
| 514 | C23 | — | 72 | 2 | no | — |
| 515 | C23 | — | 72 | 4 | no | — |
| 516 | C23 | #3811 | 1 | 2 | yes | — |
| 517 | Q8 | — | 2 | 2 | no | — |
| 518 | Q8 | — | 3 | 4 | no | — |
| 519 | Q8 | — | 18 | 2 | no | — |
| 520 | D4 | — | 2 | 2 | no | — |
| 521 | D4 | — | 3 | 4 | no | — |
| 522 | D4 | — | 6 | 8 | no | — |
| 523 | D4 | — | 6 | 4 | no | — |
| 524 | D4 | — | 18 | 4 | no | — |
| 525 | D4 | — | 18 | 8 | no | — |
| 526 | D4 | — | 18 | 4 | no | — |
| 527 | D4 | — | 18 | 2 | no | — |
| 528 | D4 | — | 18 | 2 | no | — |
| 529 | D4 | — | 18 | 2 | no | — |
| 530 | D4 | — | 36 | 1 | no | — |
| 531 | D4 | — | 36 | 1 | no | — |
| 532 | D4 | — | 72 | 2 | no | — |
| 533 | D4 | — | 72 | 2 | no | — |
| 534 | C2×C4 | — | 2 | 1 | no | — |
| 535 | C2×C4 | — | 2 | 1 | no | — |
| 536 | C2×C4 | — | 6 | 4 | no | — |
| 537 | C2×C4 | — | 6 | 4 | no | — |
| 538 | C2×C4 | — | 9 | 1 | no | — |
| 539 | C2×C4 | — | 9 | 2 | no | — |
| 540 | C2×C4 | — | 9 | 2 | no | — |
| 541 | C2×C4 | — | 18 | 2 | no | — |
| 542 | C2×C4 | — | 18 | 4 | no | — |
| 543 | C2×C4 | — | 18 | 4 | no | — |
| 544 | C2×C4 | — | 18 | 1 | no | — |
| 545 | C2×C4 | — | 36 | 2 | no | — |
| 546 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 547 | C8 | — | 6 | 4 | no | — |
| 548 | C2×C3 | — | 2 | 2 | no | — |
| 549 | C2×C3 | — | 2 | 2 | no | — |
| 550 | C2×C3 | — | 2 | 1 | no | — |
| 551 | C2×C3 | — | 4 | 4 | no | — |
| 552 | C2×C3 | — | 8 | 2 | no | — |
| 553 | C2×C3 | — | 12 | 4 | no | — |
| 554 | C2×C3 | D3×#120 | 1 | 2 | yes | — |
| 555 | D3 | — | 4 | 4 | no | — |
| 556 | D3 | — | 6 | 2 | no | — |
| 557 | D3 | — | 6 | 2 | no | — |
| 558 | D3 | — | 12 | 1 | no | — |
| 559 | D3 | — | 12 | 1 | no | — |
| 560 | D3 | — | 12 | 4 | no | — |
| 561 | D3 | — | 24 | 2 | no | — |
| 562 | D3 | — | 24 | 2 | no | — |
| 563 | D3 | — | 24 | 2 | no | — |
| 564 | C22 | — | 2 | 2 | no | — |
| 565 | C22 | — | 4 | 2 | no | — |
| 566 | C22 | — | 6 | 4 | no | — |
| 567 | C22 | — | 9 | 1 | no | — |
| 568 | C22 | — | 9 | 1 | no | — |
| 569 | C22 | — | 18 | 2 | no | — |
| 570 | C22 | — | 24 | 4 | no | — |
| 571 | C22 | — | 36 | 1 | no | — |
| 572 | C22 | — | 36 | 2 | no | — |
| 573 | C22 | — | 36 | 2 | no | — |
| 574 | C22 | — | 36 | 4 | no | — |
| 575 | C22 | — | 36 | 4 | no | — |
| 576 | C22 | — | 36 | 1 | no | — |
| 577 | C22 | — | 72 | 2 | no | — |
| 578 | C22 | — | 72 | 4 | no | — |
| 579 | C22 | C2×#3811 | 1 | 1 | yes | characteristic |
| 580 | C4 | — | 4 | 1 | no | — |
| 581 | C4 | — | 4 | 1 | no | — |
| 582 | C4 | — | 6 | 4 | no | — |
| 583 | C4 | — | 9 | 2 | no | — |
| 584 | C4 | — | 36 | 1 | no | — |
| 585 | C4 | D32×D4 | 1 | 2 | yes | — |
| 586 | C3 | — | 2 | 1 | no | — |
| 587 | C3 | #80292 | 1 | 2 | yes | complemented |
| 588 | C2 | — | 2 | 1 | no | — |
| 589 | C2 | — | 4 | 2 | no | — |
| 590 | C2 | — | 12 | 4 | no | — |
| 591 | C2 | — | 18 | 1 | no | — |
| 592 | C2 | — | 18 | 1 | no | — |
| 593 | C2 | — | 36 | 2 | no | — |
| 594 | C2 | — | 72 | 1 | no | — |
| 595 | C2 | #10595278 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596675 | C2 | semidirect |
| 2. #10596145 | C2 | semidirect |
| 3. #10595323 | C2 | semidirect |
| 4. C3×#5061 | C2 | semidirect |
| 5. #10591658 | C2 | semidirect |
| 6. #10591510 | C2 | semidirect |
| 7. #10591503 | C2 | semidirect |
| 8. #10590397 | C2 | semidirect |
| 9. #10590394 | C2 | semidirect |
| 11. C2×#3832 | C22 | semidirect |
| 21. C32×#124 | C22 | semidirect |
| 22. #64156 | C22 | semidirect |
| 23. #64149 | C22 | semidirect |
| 26. #64083 | C22 | semidirect |
| 27. #64081 | C22 | semidirect |
| 28. C3×#942 | C22 | semidirect |
| 32. #63825 | C22 | semidirect |
| 33. #63818 | C22 | semidirect |
| 34. C3×#833 | C22 | semidirect |
| 35. C3×#805 | C22 | semidirect |
| 36. #63568 | C22 | semidirect |
| 37. #63559 | C22 | semidirect |
| 45. #5061 | D3 | semidirect |
| 52. C2×C32×Q8 | C23 | semidirect |
| 63. C2×C4⋊(C3⋊D3) | C23 | semidirect |
| 79. #3802 | D4 | semidirect |
| 84. #3797 | D4 | semidirect |
| 85. #3796 | D4 | semidirect |
| 87. C32×C42 | C23 | semidirect |
| 91. C4×C3⋊Dic3 | C23 | semidirect |
| 94. C3×#208 | C23 | semidirect |
| 116. C3×#124 | C2×D3 | semidirect |
| 120. #942 | C2×D3 | semidirect |
| 140. #833 | C2×D3 | semidirect |
| 143. #805 | C2×D3 | semidirect |
| 201. C2×C3×Q8 | C22×D3 | semidirect |
| 262. C3×C42 | C22×D3 | semidirect |
| 275. #208 | C22×D3 | semidirect |
| 321. #124 | D32 | semidirect |
| 426. C2×Q8 | C2×D32 | semidirect |
| 462. C42 | C2×D32 | semidirect |
| 505. C32 | #3019 | semidirect |
| 587. C3 | #80292 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596675 | 2 |
| #10596145 | 2 |
| #10595323 | 2 |
| C3×#5061 | 2 |
| #10591658 | 2 |
| #10591510 | 2 |
| #10591503 | 2 |
| #10590397 | 2 |
| #10590394 | 2 |
| #80292 | 3 |