Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1029 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 1029 conjugacy classes of subgroups — too many to draw. Only its 162 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 | #10594716 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C2×#63797 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10594669 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3⋊D3×#108 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#4897 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10591001 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10590982 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #10590926 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | D3×#472 | — | 3 | 2 | no | maximal |
| 10 | #64306 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×#3802 | C22 | 1 | 2 | yes | — |
| 12 | M16×C3⋊D3 | C22 | 1 | 2 | yes | — |
| 13 | C2×C8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 14 | C3×#908 | C22 | 1 | 4 | yes | complemented |
| 15 | C2×C3×D24 | C22 | 1 | 2 | yes | complemented |
| 16 | C3×#901 | C22 | 1 | 2 | yes | complemented |
| 17 | #63823 | C22 | 1 | 4 | yes | complemented |
| 18 | C2×#3713 | C22 | 1 | 2 | yes | complemented |
| 19 | #63818 | C22 | 1 | 1 | yes | characteristic |
| 20 | #63815 | C22 | 1 | 2 | yes | complemented |
| 21 | #63805 | — | 2 | 1 | no | — |
| 22 | #63803 | — | 2 | 1 | no | — |
| 23 | #63798 | — | 2 | 4 | no | — |
| 24 | #63797 | — | 2 | 2 | no | — |
| 25 | #63797 | — | 2 | 1 | no | — |
| 26 | #63797 | — | 2 | 1 | no | — |
| 27 | #63797 | — | 2 | 1 | no | — |
| 28 | #63797 | — | 2 | 1 | no | — |
| 29 | #63796 | — | 2 | 2 | no | — |
| 30 | #63791 | — | 2 | 1 | no | — |
| 31 | D32×C8 | — | 2 | 1 | no | — |
| 32 | C32×#108 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #63649 | C22 | 1 | 2 | yes | complemented |
| 34 | #63646 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C3×#823 | C22 | 1 | 4 | yes | complemented |
| 36 | #63558 | C22 | 1 | 4 | yes | complemented |
| 37 | D3×AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 38 | C2×D3×D8 | — | 3 | 2 | no | — |
| 39 | D3×#131 | — | 3 | 2 | no | — |
| 40 | C3×#472 | — | 3 | 2 | no | — |
| 41 | #5199 | — | 3 | 4 | no | — |
| 42 | #5160 | — | 3 | 2 | no | — |
| 43 | #5142 | — | 3 | 2 | no | — |
| 44 | #4897 | D3 | 1 | 2 | yes | complemented |
| 45 | D3×#108 | — | 3 | 2 | no | — |
| 46 | D3×#108 | — | 6 | 1 | no | — |
| 47 | #4749 | — | 3 | 4 | no | — |
| 48 | D3×#100 | — | 3 | 4 | no | — |
| 49 | C22×D32 | — | 2 | 2 | no | — |
| 50 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 51 | C3×#235 | C23 | 1 | 2 | yes | — |
| 52 | C2×C3×D12 | C23 | 1 | 4 | yes | — |
| 53 | #3811 | — | 2 | 1 | no | — |
| 54 | C2×#625 | — | 2 | 2 | no | — |
| 55 | #3805 | — | 2 | 1 | no | — |
| 56 | #3802 | — | 2 | 2 | no | — |
| 57 | #3802 | — | 2 | 2 | no | — |
| 58 | #3802 | — | 2 | 2 | no | — |
| 59 | #3802 | — | 2 | 2 | no | — |
| 60 | #3802 | D4 | 1 | 1 | yes | characteristic |
| 61 | C4×D32 | — | 2 | 1 | no | — |
| 62 | #3798 | — | 2 | 1 | no | — |
| 63 | #3797 | D4 | 1 | 1 | yes | characteristic |
| 64 | #3796 | D4 | 1 | 2 | yes | — |
| 65 | C32×M16 | C23 | 1 | 2 | yes | — |
| 66 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 67 | #3748 | C23 | 1 | 2 | yes | — |
| 68 | C2×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 69 | #3743 | — | 2 | 2 | no | — |
| 70 | C8×C3⋊D3 | — | 2 | 2 | no | — |
| 71 | C8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 72 | C8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 73 | C8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 74 | C8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 75 | C3×#208 | C23 | 1 | 2 | yes | — |
| 76 | C3×D24 | — | 2 | 4 | no | — |
| 77 | C3×D24 | — | 2 | 2 | no | — |
| 78 | C3×D24 | — | 2 | 2 | no | — |
| 79 | C3×#204 | — | 2 | 4 | no | — |
| 80 | C3×ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 81 | C3×D3×C8 | — | 2 | 2 | no | — |
| 82 | #3715 | — | 2 | 4 | no | — |
| 83 | #3713 | — | 2 | 4 | no | — |
| 84 | #3713 | — | 2 | 2 | no | — |
| 85 | #3713 | — | 2 | 2 | no | — |
| 86 | #3712 | — | 2 | 1 | no | — |
| 87 | #3711 | — | 2 | 2 | no | — |
| 88 | #3710 | — | 2 | 1 | no | — |
| 89 | D3×C3⋊C8 | — | 2 | 2 | no | — |
| 90 | C2×#472 | — | 9 | 1 | no | Sylow |
| 91 | D3×#41 | — | 3 | 2 | no | — |
| 92 | C2×D3×D4 | — | 3 | 4 | no | — |
| 93 | C3×AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 94 | C2×C3×D8 | — | 3 | 2 | no | — |
| 95 | C3×#131 | — | 3 | 2 | no | — |
| 96 | #949 | — | 3 | 4 | no | — |
| 97 | #948 | — | 3 | 2 | no | — |
| 98 | #932 | — | 3 | 4 | no | — |
| 99 | C2×#213 | — | 3 | 4 | no | — |
| 100 | #914 | — | 6 | 4 | no | — |
| 101 | D3×SD16 | — | 6 | 4 | no | — |
| 102 | #911 | — | 6 | 4 | no | — |
| 103 | D3×D8 | — | 6 | 2 | no | — |
| 104 | D3×D8 | — | 6 | 2 | no | — |
| 105 | D3×D8 | — | 6 | 2 | no | — |
| 106 | D3×D8 | — | 6 | 2 | no | — |
| 107 | D3×D8 | — | 6 | 4 | no | — |
| 108 | #908 | C2×D3 | 1 | 4 | yes | complemented |
| 109 | #907 | — | 3 | 2 | no | — |
| 110 | #907 | — | 6 | 2 | no | — |
| 111 | D3×M16 | — | 3 | 4 | no | — |
| 112 | D3×M16 | — | 3 | 2 | no | — |
| 113 | D3×M16 | — | 6 | 2 | no | — |
| 114 | D3×M16 | — | 6 | 2 | no | — |
| 115 | C2×D24 | C2×D3 | 1 | 2 | yes | complemented |
| 116 | #901 | — | 6 | 2 | no | — |
| 117 | #901 | C2×D3 | 1 | 2 | yes | complemented |
| 118 | C2×D3×C8 | — | 3 | 2 | no | — |
| 119 | C2×D3×C8 | — | 6 | 1 | no | — |
| 120 | C2×D3×C8 | — | 6 | 2 | no | — |
| 121 | C3×#108 | — | 2 | 1 | no | — |
| 122 | C3×#108 | C2×D3 | 1 | 2 | yes | complemented |
| 123 | C3×#100 | — | 3 | 4 | no | — |
| 124 | #833 | — | 3 | 4 | no | — |
| 125 | #823 | — | 3 | 4 | no | — |
| 126 | #823 | C2×D3 | 1 | 4 | yes | complemented |
| 127 | #822 | — | 3 | 4 | no | — |
| 128 | #822 | — | 6 | 2 | no | — |
| 129 | #819 | — | 3 | 2 | no | — |
| 130 | #819 | — | 6 | 1 | no | — |
| 131 | C22×C3⋊D3 | #41 | 1 | 1 | yes | characteristic |
| 132 | C22×C3×D3 | — | 2 | 4 | no | — |
| 133 | C2×D32 | — | 2 | 1 | no | — |
| 134 | C2×D32 | — | 4 | 2 | no | — |
| 135 | C2×D32 | — | 4 | 2 | no | — |
| 136 | C2×D32 | — | 8 | 4 | no | — |
| 137 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 138 | C2×C3⋊Dic3 | #41 | 1 | 1 | yes | characteristic |
| 139 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 140 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 141 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 142 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 143 | C3×#67 | — | 2 | 2 | no | — |
| 144 | C3×D12 | — | 2 | 4 | no | — |
| 145 | C3×D12 | — | 2 | 4 | no | — |
| 146 | C3×D12 | C2×D4 | 1 | 2 | yes | — |
| 147 | C3×C4×D3 | — | 2 | 2 | no | — |
| 148 | C3×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 149 | #627 | — | 2 | 1 | no | — |
| 150 | #626 | — | 2 | 2 | no | — |
| 151 | #625 | — | 2 | 1 | no | — |
| 152 | #625 | — | 4 | 2 | no | — |
| 153 | #625 | — | 4 | 2 | no | — |
| 154 | #624 | — | 2 | 1 | no | — |
| 155 | D3×Dic3 | — | 2 | 2 | no | — |
| 156 | C32×C8 | — | 2 | 2 | no | — |
| 157 | C32×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 158 | C32×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 159 | C3⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 160 | C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 161 | C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 162 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 163 | C2×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 164 | C22×D8 | — | 9 | 1 | no | — |
| 165 | C2×#131 | — | 9 | 1 | no | — |
| 166 | #472 | — | 3 | 2 | no | — |
| 167 | #472 | — | 9 | 4 | no | — |
| 168 | #472 | — | 9 | 2 | no | — |
| 169 | C2×#108 | — | 9 | 1 | no | — |
| 170 | C2×#100 | — | 9 | 2 | no | — |
| 171 | C23×D3 | — | 6 | 4 | no | — |
| 172 | C3×#41 | — | 3 | 2 | no | — |
| 173 | C2×C3×D4 | — | 3 | 4 | no | — |
| 174 | C2×#67 | — | 6 | 4 | no | — |
| 175 | #239 | — | 3 | 2 | no | — |
| 176 | D3×Q8 | — | 3 | 2 | no | — |
| 177 | #237 | — | 3 | 2 | no | — |
| 178 | #237 | — | 6 | 2 | no | — |
| 179 | D3×D4 | — | 3 | 2 | no | — |
| 180 | D3×D4 | — | 6 | 4 | no | — |
| 181 | D3×D4 | — | 6 | 4 | no | — |
| 182 | D3×D4 | — | 6 | 4 | no | — |
| 183 | D3×D4 | — | 6 | 4 | no | — |
| 184 | D3×D4 | — | 6 | 2 | no | — |
| 185 | #235 | — | 6 | 2 | no | — |
| 186 | #235 | C22×D3 | 1 | 2 | yes | — |
| 187 | C2×D12 | C22×D3 | 1 | 4 | yes | — |
| 188 | C2×C4×D3 | — | 3 | 2 | no | — |
| 189 | C2×C4×D3 | — | 6 | 1 | no | — |
| 190 | C2×C4×D3 | — | 6 | 2 | no | — |
| 191 | C3×SD16 | — | 6 | 4 | no | — |
| 192 | C3×D8 | — | 6 | 4 | no | — |
| 193 | C3×D8 | — | 6 | 2 | no | — |
| 194 | C3×D8 | — | 6 | 2 | no | — |
| 195 | C3×M16 | — | 2 | 2 | no | — |
| 196 | C3×M16 | — | 3 | 2 | no | — |
| 197 | C3×M16 | — | 6 | 2 | no | — |
| 198 | C3×M16 | C22×D3 | 1 | 4 | yes | — |
| 199 | C2×C3×C8 | — | 2 | 1 | no | — |
| 200 | C2×C3×C8 | — | 6 | 2 | no | — |
| 201 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 202 | #215 | — | 6 | 4 | no | — |
| 203 | #214 | — | 6 | 4 | no | — |
| 204 | #213 | — | 6 | 4 | no | — |
| 205 | #213 | — | 6 | 4 | no | — |
| 206 | #213 | — | 6 | 4 | no | — |
| 207 | #213 | — | 6 | 4 | no | — |
| 208 | #208 | — | 3 | 4 | no | — |
| 209 | #208 | — | 6 | 2 | no | — |
| 210 | #208 | — | 6 | 2 | no | — |
| 211 | #208 | C22×D3 | 1 | 2 | yes | — |
| 212 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 213 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 214 | C2×C3⋊C8 | — | 6 | 2 | no | — |
| 215 | D24 | — | 2 | 4 | no | — |
| 216 | D24 | — | 2 | 2 | no | — |
| 217 | D24 | — | 2 | 2 | no | — |
| 218 | #204 | — | 2 | 4 | no | — |
| 219 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 220 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 221 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 222 | ΓL(1,𝔽25) | — | 6 | 4 | no | — |
| 223 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 224 | D3×C8 | — | 2 | 2 | no | — |
| 225 | D3×C8 | — | 3 | 2 | no | — |
| 226 | D3×C8 | — | 3 | 2 | no | — |
| 227 | D3×C8 | — | 3 | 2 | no | — |
| 228 | D3×C8 | — | 3 | 2 | no | — |
| 229 | D3×C8 | — | 6 | 1 | no | — |
| 230 | D3×C8 | — | 6 | 1 | no | — |
| 231 | D3×C8 | — | 6 | 1 | no | — |
| 232 | D3×C8 | — | 6 | 1 | no | — |
| 233 | D3×C8 | — | 6 | 2 | no | — |
| 234 | D3×C8 | — | 6 | 2 | no | — |
| 235 | D3×C8 | — | 6 | 4 | no | — |
| 236 | D3×C8 | — | 12 | 2 | no | — |
| 237 | C22×C32 | C2×#41 | 1 | 1 | yes | characteristic |
| 238 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 239 | C2×C3⋊D3 | #121 | 1 | 1 | yes | characteristic |
| 240 | C2×C3⋊D3 | #121 | 1 | 1 | yes | characteristic |
| 241 | C2×C3×D3 | — | 2 | 2 | no | — |
| 242 | C2×C3×D3 | — | 4 | 4 | no | — |
| 243 | C2×C3×D3 | — | 8 | 4 | no | — |
| 244 | D32 | — | 4 | 2 | no | — |
| 245 | D32 | — | 8 | 4 | no | — |
| 246 | D32 | — | 8 | 4 | no | — |
| 247 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 248 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 249 | C3⋊Dic3 | #121 | 1 | 1 | yes | characteristic |
| 250 | C3⋊Dic3 | #121 | 1 | 1 | yes | characteristic |
| 251 | C3×Dic3 | — | 2 | 2 | no | — |
| 252 | C2×#41 | — | 9 | 1 | no | — |
| 253 | C22×D4 | — | 9 | 2 | no | — |
| 254 | AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 255 | AGL(1,ℤ/8) | — | 9 | 4 | no | — |
| 256 | AGL(1,ℤ/8) | — | 18 | 4 | no | — |
| 257 | C2×SD16 | — | 18 | 2 | no | — |
| 258 | C2×D8 | — | 3 | 2 | no | — |
| 259 | C2×D8 | — | 9 | 2 | no | — |
| 260 | C2×D8 | — | 18 | 1 | no | — |
| 261 | C2×D8 | — | 18 | 1 | no | — |
| 262 | C2×D8 | — | 18 | 1 | no | — |
| 263 | C2×D8 | — | 18 | 1 | no | — |
| 264 | C2×D8 | — | 18 | 2 | no | — |
| 265 | #131 | — | 3 | 2 | no | — |
| 266 | #131 | — | 9 | 2 | no | — |
| 267 | #131 | — | 18 | 1 | no | — |
| 268 | #131 | — | 18 | 1 | no | — |
| 269 | C2×M16 | — | 9 | 1 | no | — |
| 270 | C2×M16 | — | 9 | 2 | no | — |
| 271 | C2×M16 | — | 18 | 1 | no | — |
| 272 | C22×C8 | — | 9 | 1 | no | — |
| 273 | C22×C8 | — | 18 | 1 | no | — |
| 274 | #108 | — | 9 | 2 | no | — |
| 275 | #108 | — | 9 | 1 | no | — |
| 276 | #108 | D32 | 1 | 1 | yes | characteristic, complemented |
| 277 | #100 | — | 3 | 4 | no | — |
| 278 | #100 | — | 9 | 4 | no | — |
| 279 | C23×C3 | — | 6 | 4 | no | — |
| 280 | C22×D3 | — | 2 | 4 | no | — |
| 281 | C22×D3 | — | 3 | 2 | no | — |
| 282 | C22×D3 | — | 6 | 1 | no | — |
| 283 | C22×D3 | — | 6 | 2 | no | — |
| 284 | C22×D3 | — | 12 | 4 | no | — |
| 285 | C22×D3 | — | 12 | 4 | no | — |
| 286 | C22×D3 | — | 24 | 8 | no | — |
| 287 | C3×Q8 | — | 3 | 2 | no | — |
| 288 | C3×D4 | — | 3 | 2 | no | — |
| 289 | C3×D4 | — | 6 | 2 | no | — |
| 290 | C3×D4 | — | 6 | 4 | no | — |
| 291 | C3×D4 | — | 6 | 4 | no | — |
| 292 | C2×C3×C4 | — | 2 | 1 | no | — |
| 293 | C2×C3×C4 | — | 6 | 2 | no | — |
| 294 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 295 | #67 | — | 2 | 2 | no | — |
| 296 | #67 | — | 6 | 2 | no | — |
| 297 | #67 | — | 6 | 2 | no | — |
| 298 | #67 | — | 12 | 4 | no | — |
| 299 | #67 | — | 12 | 4 | no | — |
| 300 | C2×Dic3 | — | 3 | 2 | no | — |
| 301 | C2×Dic3 | — | 6 | 1 | no | — |
| 302 | C2×Dic3 | — | 6 | 2 | no | — |
| 303 | D12 | — | 2 | 4 | no | — |
| 304 | D12 | — | 2 | 4 | no | — |
| 305 | D12 | — | 6 | 2 | no | — |
| 306 | D12 | D3×D4 | 1 | 2 | yes | — |
| 307 | C4×D3 | — | 2 | 2 | no | — |
| 308 | C4×D3 | — | 3 | 2 | no | — |
| 309 | C4×D3 | — | 3 | 2 | no | — |
| 310 | C4×D3 | — | 3 | 2 | no | — |
| 311 | C4×D3 | — | 3 | 2 | no | — |
| 312 | C4×D3 | — | 6 | 1 | no | — |
| 313 | C4×D3 | — | 6 | 1 | no | — |
| 314 | C4×D3 | — | 6 | 1 | no | — |
| 315 | C4×D3 | — | 6 | 1 | no | — |
| 316 | C4×D3 | — | 6 | 2 | no | — |
| 317 | C4×D3 | — | 6 | 2 | no | — |
| 318 | Dic6 | — | 6 | 2 | no | — |
| 319 | Dic6 | D3×D4 | 1 | 2 | yes | — |
| 320 | C3×C8 | — | 2 | 4 | no | — |
| 321 | C3×C8 | — | 2 | 1 | no | — |
| 322 | C3×C8 | — | 2 | 1 | no | — |
| 323 | C3×C8 | — | 4 | 2 | no | — |
| 324 | C3×C8 | — | 6 | 2 | no | — |
| 325 | C3×C8 | D3×D4 | 1 | 2 | yes | — |
| 326 | C3×C8 | D3×D4 | 1 | 2 | yes | — |
| 327 | C3⋊C8 | — | 2 | 2 | no | — |
| 328 | C3⋊C8 | — | 3 | 2 | no | — |
| 329 | C3⋊C8 | — | 3 | 2 | no | — |
| 330 | C3⋊C8 | — | 6 | 1 | no | — |
| 331 | C3⋊C8 | — | 6 | 1 | no | — |
| 332 | C3⋊C8 | — | 6 | 4 | no | — |
| 333 | C3⋊C8 | — | 12 | 2 | no | — |
| 334 | C2×C32 | — | 2 | 1 | no | — |
| 335 | C2×C32 | C2×#121 | 1 | 1 | yes | characteristic |
| 336 | C3⋊D3 | — | 2 | 1 | no | — |
| 337 | C3⋊D3 | #472 | 1 | 2 | yes | complemented |
| 338 | C3×D3 | — | 4 | 2 | no | — |
| 339 | C3×D3 | — | 8 | 4 | no | — |
| 340 | C24 | — | 18 | 2 | no | — |
| 341 | #41 | — | 3 | 2 | no | — |
| 342 | #41 | — | 9 | 2 | no | — |
| 343 | #41 | — | 18 | 1 | no | — |
| 344 | #41 | — | 18 | 1 | no | — |
| 345 | C2×Q8 | — | 9 | 1 | no | — |
| 346 | C2×D4 | — | 3 | 4 | no | — |
| 347 | C2×D4 | — | 9 | 1 | no | — |
| 348 | C2×D4 | — | 18 | 2 | no | — |
| 349 | C2×D4 | — | 18 | 2 | no | — |
| 350 | C2×D4 | — | 18 | 2 | no | — |
| 351 | C2×D4 | — | 18 | 2 | no | — |
| 352 | C2×D4 | — | 18 | 2 | no | — |
| 353 | C2×D4 | — | 18 | 1 | no | — |
| 354 | C22×C4 | — | 9 | 1 | no | — |
| 355 | C22×C4 | — | 18 | 1 | no | — |
| 356 | SD16 | — | 6 | 4 | no | — |
| 357 | SD16 | — | 18 | 4 | no | — |
| 358 | D8 | — | 6 | 4 | no | — |
| 359 | D8 | — | 6 | 2 | no | — |
| 360 | D8 | — | 6 | 2 | no | — |
| 361 | D8 | — | 18 | 2 | no | — |
| 362 | D8 | — | 18 | 2 | no | — |
| 363 | D8 | — | 18 | 4 | no | — |
| 364 | M16 | — | 3 | 2 | no | — |
| 365 | M16 | — | 6 | 2 | no | — |
| 366 | M16 | — | 9 | 2 | no | — |
| 367 | M16 | — | 18 | 2 | no | — |
| 368 | M16 | — | 18 | 1 | no | — |
| 369 | M16 | — | 18 | 2 | no | — |
| 370 | M16 | C2×D32 | 1 | 2 | yes | — |
| 371 | C2×C8 | — | 6 | 2 | no | — |
| 372 | C2×C8 | — | 9 | 1 | no | — |
| 373 | C2×C8 | — | 9 | 1 | no | — |
| 374 | C2×C8 | — | 9 | 1 | no | — |
| 375 | C2×C8 | — | 9 | 1 | no | — |
| 376 | C2×C8 | — | 9 | 1 | no | — |
| 377 | C2×C8 | — | 18 | 2 | no | — |
| 378 | C2×C8 | — | 18 | 1 | no | — |
| 379 | C2×C8 | — | 18 | 2 | no | — |
| 380 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 381 | C22×C3 | — | 2 | 1 | no | — |
| 382 | C22×C3 | — | 6 | 2 | no | — |
| 383 | C22×C3 | — | 12 | 4 | no | — |
| 384 | C22×C3 | — | 24 | 4 | no | — |
| 385 | C22×C3 | D3×#41 | 1 | 2 | yes | — |
| 386 | C2×D3 | — | 2 | 2 | no | — |
| 387 | C2×D3 | — | 3 | 2 | no | — |
| 388 | C2×D3 | — | 3 | 2 | no | — |
| 389 | C2×D3 | — | 4 | 4 | no | — |
| 390 | C2×D3 | — | 6 | 1 | no | — |
| 391 | C2×D3 | — | 6 | 1 | no | — |
| 392 | C2×D3 | — | 6 | 4 | no | — |
| 393 | C2×D3 | — | 8 | 4 | no | — |
| 394 | C2×D3 | — | 12 | 2 | no | — |
| 395 | C2×D3 | — | 12 | 4 | no | — |
| 396 | C2×D3 | — | 24 | 8 | no | — |
| 397 | C2×D3 | — | 24 | 8 | no | — |
| 398 | C3×C4 | — | 2 | 1 | no | — |
| 399 | C3×C4 | — | 2 | 1 | no | — |
| 400 | C3×C4 | — | 6 | 2 | no | — |
| 401 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 402 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 403 | Dic3 | — | 2 | 2 | no | — |
| 404 | Dic3 | — | 3 | 2 | no | — |
| 405 | Dic3 | — | 3 | 2 | no | — |
| 406 | Dic3 | — | 6 | 1 | no | — |
| 407 | Dic3 | — | 6 | 1 | no | — |
| 408 | C32 | C2×#472 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 409 | C23 | — | 6 | 4 | no | — |
| 410 | C23 | — | 9 | 1 | no | — |
| 411 | C23 | — | 18 | 1 | no | — |
| 412 | C23 | — | 36 | 2 | no | — |
| 413 | C23 | — | 36 | 2 | no | — |
| 414 | C23 | — | 72 | 4 | no | — |
| 415 | Q8 | — | 3 | 2 | no | — |
| 416 | Q8 | — | 18 | 1 | no | — |
| 417 | D4 | — | 3 | 2 | no | — |
| 418 | D4 | — | 6 | 2 | no | — |
| 419 | D4 | — | 6 | 4 | no | — |
| 420 | D4 | — | 6 | 4 | no | — |
| 421 | D4 | — | 18 | 2 | no | — |
| 422 | D4 | — | 18 | 1 | no | — |
| 423 | D4 | — | 36 | 2 | no | — |
| 424 | D4 | — | 36 | 2 | no | — |
| 425 | C2×C4 | — | 6 | 2 | no | — |
| 426 | C2×C4 | — | 9 | 1 | no | — |
| 427 | C2×C4 | — | 9 | 1 | no | — |
| 428 | C2×C4 | — | 9 | 1 | no | — |
| 429 | C2×C4 | — | 9 | 1 | no | — |
| 430 | C2×C4 | — | 9 | 1 | no | — |
| 431 | C2×C4 | — | 18 | 1 | no | — |
| 432 | C2×C4 | — | 18 | 2 | no | — |
| 433 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 434 | C8 | — | 2 | 2 | no | — |
| 435 | C8 | — | 6 | 2 | no | — |
| 436 | C8 | — | 9 | 1 | no | — |
| 437 | C8 | — | 9 | 1 | no | — |
| 438 | C8 | — | 18 | 2 | no | — |
| 439 | C8 | #3802 | 1 | 1 | yes | characteristic |
| 440 | C8 | #3802 | 1 | 1 | yes | characteristic |
| 441 | C2×C3 | — | 2 | 2 | no | — |
| 442 | C2×C3 | — | 2 | 1 | no | — |
| 443 | C2×C3 | — | 4 | 1 | no | — |
| 444 | C2×C3 | — | 12 | 2 | no | — |
| 445 | C2×C3 | — | 24 | 4 | no | — |
| 446 | C2×C3 | D3×#121 | 1 | 2 | yes | — |
| 447 | D3 | — | 3 | 4 | no | — |
| 448 | D3 | — | 4 | 2 | no | — |
| 449 | D3 | — | 6 | 2 | no | — |
| 450 | D3 | — | 6 | 2 | no | — |
| 451 | D3 | — | 8 | 4 | no | — |
| 452 | D3 | — | 12 | 1 | no | — |
| 453 | C22 | — | 6 | 2 | no | — |
| 454 | C22 | — | 9 | 1 | no | — |
| 455 | C22 | — | 9 | 1 | no | — |
| 456 | C22 | — | 12 | 4 | no | — |
| 457 | C22 | — | 18 | 2 | no | — |
| 458 | C22 | — | 24 | 4 | no | — |
| 459 | C22 | — | 36 | 2 | no | — |
| 460 | C22 | — | 72 | 4 | no | — |
| 461 | C22 | — | 72 | 4 | no | — |
| 462 | C22 | #64319 | 1 | 1 | yes | characteristic |
| 463 | C4 | — | 6 | 2 | no | — |
| 464 | C4 | — | 9 | 1 | no | — |
| 465 | C4 | — | 9 | 1 | no | — |
| 466 | C4 | C2×#3802 | 1 | 1 | yes | characteristic |
| 467 | C4 | D32×D4 | 1 | 1 | yes | characteristic |
| 468 | C3 | — | 2 | 1 | no | — |
| 469 | C3 | D3×#472 | 1 | 2 | yes | complemented |
| 470 | C2 | — | 2 | 1 | no | — |
| 471 | C2 | — | 9 | 2 | no | — |
| 472 | C2 | — | 12 | 2 | no | — |
| 473 | C2 | — | 18 | 1 | no | — |
| 474 | C2 | — | 24 | 4 | no | — |
| 475 | C2 | #10594612 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10594716 | C2 | semidirect |
| 2. C2×#63797 | C2 | semidirect |
| 3. #10594669 | C2 | semidirect |
| 4. C3⋊D3×#108 | C2 | semidirect |
| 5. C3×#4897 | C2 | semidirect |
| 6. #10591001 | C2 | semidirect |
| 7. #10590982 | C2 | semidirect |
| 8. #10590926 | C2 | semidirect |
| 14. C3×#908 | C22 | semidirect |
| 15. C2×C3×D24 | C22 | semidirect |
| 16. C3×#901 | C22 | semidirect |
| 17. #63823 | C22 | semidirect |
| 18. C2×#3713 | C22 | semidirect |
| 20. #63815 | C22 | semidirect |
| 32. C32×#108 | C22 | semidirect |
| 33. #63649 | C22 | semidirect |
| 34. #63646 | C22 | semidirect |
| 35. C3×#823 | C22 | semidirect |
| 36. #63558 | C22 | semidirect |
| 44. #4897 | D3 | semidirect |
| 108. #908 | C2×D3 | semidirect |
| 115. C2×D24 | C2×D3 | semidirect |
| 117. #901 | C2×D3 | semidirect |
| 122. C3×#108 | C2×D3 | semidirect |
| 126. #823 | C2×D3 | semidirect |
| 276. #108 | D32 | semidirect |
| 337. C3⋊D3 | #472 | semidirect |
| 408. C32 | C2×#472 | semidirect |
| 469. C3 | D3×#472 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10594716 | 2 |
| C2×#63797 | 2 |
| #10594669 | 2 |
| C3⋊D3×#108 | 2 |
| C3×#4897 | 2 |
| #10591001 | 2 |
| #10590982 | 2 |
| #10590926 | 2 |
| D3×#472 | 3 |