← C2×#72245441 #72255488
Subgroups — C2×#72245441 #72255488
Order 4608.
996 conjugacy classes of subgroups.
The subgroup lattice has 336 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C2×#11772675 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×C32×#1398 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C2×#11771319 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C2×#10682524 | — | 3 | 4 | no | maximal |
| 5 | #72245441 | C2 | 1 | 4 | yes | maximal, direct product factor |
| 6 | C2×#10589365 | C4 | 1 | 2 | yes | — |
| 7 | C2×#10589327 | C4 | 1 | 1 | yes | characteristic |
| 8 | C2×#10589321 | C4 | 1 | 1 | yes | characteristic |
| 9 | #11772675 | C4 | 1 | 2 | yes | — |
| 10 | #11772675 | C22 | 1 | 2 | yes | — |
| 11 | #11771319 | C4 | 1 | 2 | yes | — |
| 12 | #11771319 | C22 | 1 | 2 | yes | — |
| 13 | C2×C32×M64 | C4 | 1 | 2 | yes | — |
| 14 | C2×C32×#346 | C22 | 1 | 1 | yes | characteristic |
| 15 | C32×#1398 | C4 | 1 | 2 | yes | — |
| 16 | C32×#1398 | C22 | 1 | 2 | yes | — |
| 17 | C2×#67519 | — | 3 | 4 | no | — |
| 18 | C2×#67511 | — | 3 | 4 | no | — |
| 19 | #10682524 | — | 3 | 16 | no | — |
| 20 | C2×C3×#1398 | D3 | 1 | 4 | yes | — |
| 21 | C22×C32×C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 22 | C22×C32×C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 23 | C2×C32×C4×C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 24 | C22×C3⋊(C3⋊C16) | — | 2 | 1 | no | — |
| 25 | C2×C4×C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 26 | C32×M64 | — | 2 | 2 | no | — |
| 27 | C32×M64 | C2×C4 | 1 | 4 | yes | — |
| 28 | C2×C32×C32 | — | 2 | 2 | no | — |
| 29 | C32×#346 | C2×C4 | 1 | 1 | yes | characteristic |
| 30 | C32×#346 | C2×C4 | 1 | 1 | yes | characteristic |
| 31 | C32×#346 | C2×C4 | 1 | 1 | yes | characteristic |
| 32 | C32×#346 | C23 | 1 | 1 | yes | characteristic |
| 33 | #10589365 | C8 | 1 | 4 | yes | complemented |
| 34 | #10589365 | C2×C4 | 1 | 4 | yes | — |
| 35 | C2×C3⋊(C3⋊C32) | C8 | 1 | 4 | yes | complemented |
| 36 | #10589327 | — | 2 | 1 | no | — |
| 37 | #10589327 | C2×C4 | 1 | 2 | yes | — |
| 38 | #10589321 | — | 2 | 1 | no | — |
| 39 | #10589321 | C2×C4 | 1 | 2 | yes | — |
| 40 | C2×#7333 | — | 9 | 1 | no | Sylow |
| 41 | C2×C3×M64 | Dic3 | 1 | 8 | yes | — |
| 42 | C2×C3×#346 | C2×D3 | 1 | 4 | yes | — |
| 43 | C2×#4499 | — | 3 | 8 | no | — |
| 44 | C2×#4461 | — | 3 | 4 | no | — |
| 45 | C2×#4455 | — | 3 | 4 | no | — |
| 46 | C3×#1398 | Dic3 | 1 | 8 | yes | — |
| 47 | C3×#1398 | C2×D3 | 1 | 8 | yes | — |
| 48 | #67519 | — | 3 | 8 | no | — |
| 49 | #67519 | — | 3 | 8 | no | — |
| 50 | #67511 | — | 3 | 8 | no | — |
| 51 | #67511 | — | 3 | 8 | no | — |
| 52 | C22×C32×C8 | C42 | 1 | 1 | yes | characteristic |
| 53 | C22×C32×C8 | M16 | 1 | 1 | yes | characteristic |
| 54 | C2×C32×C42 | M16 | 1 | 1 | yes | characteristic |
| 55 | C22×C3⋊(C3⋊C8) | — | 4 | 1 | no | — |
| 56 | C2×C32×C16 | C42 | 1 | 1 | yes | characteristic |
| 57 | C2×C32×C16 | C42 | 1 | 1 | yes | characteristic |
| 58 | C2×C32×C16 | C2×C8 | 1 | 2 | yes | — |
| 59 | C2×C32×C16 | C2×C8 | 1 | 2 | yes | — |
| 60 | C2×C32×C16 | M16 | 1 | 2 | yes | — |
| 61 | C2×C32×C16 | M16 | 1 | 2 | yes | — |
| 62 | C2×C32×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 63 | C2×C32×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 64 | C32×C4×C8 | C42 | 1 | 1 | yes | characteristic |
| 65 | C32×C4×C8 | M16 | 1 | 1 | yes | characteristic |
| 66 | C32×C4×C8 | M16 | 1 | 1 | yes | characteristic |
| 67 | C32×C4×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 68 | C2×C3⋊(C3⋊C16) | — | 2 | 2 | no | — |
| 69 | C2×C3⋊(C3⋊C16) | — | 4 | 1 | no | — |
| 70 | C2×C3⋊(C3⋊C16) | — | 4 | 1 | no | — |
| 71 | C4×C3⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 72 | C4×C3⋊(C3⋊C8) | — | 4 | 1 | no | — |
| 73 | C32×C32 | — | 2 | 4 | no | — |
| 74 | C3⋊(C3⋊C32) | C2×C8 | 1 | 8 | yes | complemented |
| 75 | C2×#1398 | — | 9 | 1 | no | — |
| 76 | C2×#1398 | C3⋊D3 | 1 | 1 | yes | characteristic |
| 77 | C2×#1313 | — | 9 | 1 | no | — |
| 78 | #7333 | — | 9 | 4 | no | — |
| 79 | C22×C3×C16 | C4×D3 | 1 | 4 | yes | — |
| 80 | C22×C3×C16 | C2×Dic3 | 1 | 4 | yes | — |
| 81 | C2×C3×C4×C8 | C4×D3 | 1 | 4 | yes | — |
| 82 | C22×C3⋊C16 | — | 6 | 4 | no | — |
| 83 | C2×C4×C3⋊C8 | — | 6 | 4 | no | — |
| 84 | C3×M64 | — | 2 | 8 | no | — |
| 85 | C3×M64 | C2×Dic3 | 1 | 16 | yes | — |
| 86 | C2×C3×C32 | — | 2 | 8 | no | — |
| 87 | C3×#346 | C4×D3 | 1 | 4 | yes | — |
| 88 | C3×#346 | C4×D3 | 1 | 4 | yes | — |
| 89 | C3×#346 | C2×Dic3 | 1 | 4 | yes | — |
| 90 | C3×#346 | C22×D3 | 1 | 4 | yes | — |
| 91 | #4499 | — | 3 | 16 | no | — |
| 92 | #4499 | — | 3 | 16 | no | — |
| 93 | C2×C3⋊C32 | — | 3 | 16 | no | — |
| 94 | #4461 | — | 3 | 8 | no | — |
| 95 | #4461 | — | 6 | 4 | no | — |
| 96 | #4455 | — | 3 | 8 | no | — |
| 97 | #4455 | — | 6 | 4 | no | — |
| 98 | C22×C32×C4 | — | 2 | 1 | no | — |
| 99 | C22×C32×C4 | #97 | 1 | 1 | yes | characteristic |
| 100 | C2×C32×C8 | — | 2 | 1 | no | — |
| 101 | C2×C32×C8 | — | 2 | 1 | no | — |
| 102 | C2×C32×C8 | C4×C8 | 1 | 1 | yes | characteristic |
| 103 | C2×C32×C8 | C4×C8 | 1 | 1 | yes | characteristic |
| 104 | C2×C32×C8 | #97 | 1 | 1 | yes | characteristic |
| 105 | C2×C32×C8 | #97 | 1 | 1 | yes | characteristic |
| 106 | C2×C32×C8 | #97 | 1 | 1 | yes | characteristic |
| 107 | C2×C32×C8 | #97 | 1 | 1 | yes | characteristic |
| 108 | C2×C32×C8 | C2×C42 | 1 | 1 | yes | characteristic |
| 109 | C2×C32×C8 | C2×M16 | 1 | 1 | yes | characteristic |
| 110 | C32×C42 | — | 2 | 1 | no | — |
| 111 | C32×C42 | #97 | 1 | 1 | yes | characteristic |
| 112 | C32×C42 | C2×M16 | 1 | 1 | yes | characteristic |
| 113 | C2×C3⋊(C3⋊C8) | — | 4 | 2 | no | — |
| 114 | C2×C3⋊(C3⋊C8) | — | 8 | 2 | no | — |
| 115 | C32×C16 | C4×C8 | 1 | 2 | yes | — |
| 116 | C32×C16 | #97 | 1 | 2 | yes | — |
| 117 | C32×C16 | C22×C8 | 1 | 2 | yes | — |
| 118 | C32×C16 | C2×M16 | 1 | 2 | yes | — |
| 119 | C3⋊(C3⋊C16) | — | 4 | 2 | no | — |
| 120 | C2×M64 | — | 9 | 2 | no | — |
| 121 | C2×M64 | C3⋊Dic3 | 1 | 2 | yes | — |
| 122 | C2×#346 | — | 9 | 1 | no | — |
| 123 | C2×#346 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 124 | C2×#322 | — | 9 | 1 | no | — |
| 125 | #1398 | — | 9 | 2 | no | — |
| 126 | #1398 | — | 9 | 2 | no | — |
| 127 | #1398 | C3⋊Dic3 | 1 | 2 | yes | — |
| 128 | #1398 | C2×C3⋊D3 | 1 | 2 | yes | — |
| 129 | #1313 | — | 9 | 2 | no | — |
| 130 | #1313 | — | 9 | 2 | no | — |
| 131 | C22×C3×C8 | ΓL(1,𝔽25) | 1 | 4 | yes | — |
| 132 | C22×C3×C8 | C4×Dic3 | 1 | 4 | yes | — |
| 133 | C2×C3×C42 | ΓL(1,𝔽25) | 1 | 4 | yes | — |
| 134 | C22×C3⋊C8 | — | 12 | 4 | no | — |
| 135 | C2×C3×C16 | D3×C8 | 1 | 8 | yes | — |
| 136 | C2×C3×C16 | D3×C8 | 1 | 8 | yes | — |
| 137 | C2×C3×C16 | #208 | 1 | 8 | yes | — |
| 138 | C2×C3×C16 | #208 | 1 | 8 | yes | — |
| 139 | C2×C3×C16 | C4×Dic3 | 1 | 4 | yes | — |
| 140 | C2×C3×C16 | C4×Dic3 | 1 | 4 | yes | — |
| 141 | C2×C3×C16 | C2×C4×D3 | 1 | 4 | yes | — |
| 142 | C2×C3×C16 | C22×Dic3 | 1 | 4 | yes | — |
| 143 | C3×C4×C8 | ΓL(1,𝔽25) | 1 | 4 | yes | — |
| 144 | C3×C4×C8 | ΓL(1,𝔽25) | 1 | 4 | yes | — |
| 145 | C3×C4×C8 | C4×Dic3 | 1 | 4 | yes | — |
| 146 | C3×C4×C8 | C2×C4×D3 | 1 | 4 | yes | — |
| 147 | C2×C3⋊C16 | — | 6 | 8 | no | — |
| 148 | C2×C3⋊C16 | — | 12 | 4 | no | — |
| 149 | C2×C3⋊C16 | — | 12 | 4 | no | — |
| 150 | C4×C3⋊C8 | — | 6 | 8 | no | — |
| 151 | C4×C3⋊C8 | — | 12 | 4 | no | — |
| 152 | C3×C32 | — | 2 | 16 | no | — |
| 153 | C3⋊C32 | — | 3 | 32 | no | — |
| 154 | C23×C32 | #347 | 1 | 1 | yes | characteristic |
| 155 | C2×C32×C4 | — | 2 | 1 | no | — |
| 156 | C2×C32×C4 | — | 2 | 1 | no | — |
| 157 | C2×C32×C4 | — | 4 | 2 | no | — |
| 158 | C2×C32×C4 | #322 | 1 | 1 | yes | characteristic |
| 159 | C2×C32×C4 | #322 | 1 | 1 | yes | characteristic |
| 160 | C2×C32×C4 | #347 | 1 | 1 | yes | characteristic |
| 161 | C2×C32×C4 | #347 | 1 | 1 | yes | characteristic |
| 162 | C2×C32×C4 | #347 | 1 | 1 | yes | characteristic |
| 163 | C2×C32×C4 | C2×#97 | 1 | 1 | yes | characteristic |
| 164 | C32×C8 | — | 2 | 1 | no | — |
| 165 | C32×C8 | — | 2 | 1 | no | — |
| 166 | C32×C8 | #322 | 1 | 1 | yes | characteristic |
| 167 | C32×C8 | #322 | 1 | 1 | yes | characteristic |
| 168 | C32×C8 | C2×C4×C8 | 1 | 1 | yes | characteristic |
| 169 | C32×C8 | C2×#97 | 1 | 1 | yes | characteristic |
| 170 | C3⋊(C3⋊C8) | — | 8 | 2 | no | — |
| 171 | C22×C16 | — | 18 | 1 | no | — |
| 172 | C22×C16 | C4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 173 | C22×C16 | C2×C3⋊Dic3 | 1 | 1 | yes | characteristic |
| 174 | C2×C4×C8 | — | 18 | 1 | no | — |
| 175 | C2×C4×C8 | C4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 176 | M64 | — | 2 | 2 | no | — |
| 177 | M64 | — | 9 | 4 | no | — |
| 178 | M64 | — | 9 | 4 | no | — |
| 179 | M64 | C2×C3⋊Dic3 | 1 | 4 | yes | — |
| 180 | C2×C32 | — | 2 | 2 | no | — |
| 181 | C2×C32 | — | 9 | 4 | no | — |
| 182 | #346 | — | 9 | 2 | no | — |
| 183 | #346 | — | 18 | 1 | no | — |
| 184 | #346 | C4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 185 | #346 | C4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 186 | #346 | C2×C3⋊Dic3 | 1 | 1 | yes | characteristic |
| 187 | #346 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 188 | #322 | — | 9 | 2 | no | — |
| 189 | #322 | — | 18 | 1 | no | — |
| 190 | C22×C3×C4 | — | 2 | 4 | no | — |
| 191 | C22×C3×C4 | #815 | 1 | 4 | yes | — |
| 192 | C2×C3×C8 | — | 2 | 4 | no | — |
| 193 | C2×C3×C8 | — | 2 | 4 | no | — |
| 194 | C2×C3×C8 | #803 | 1 | 4 | yes | — |
| 195 | C2×C3×C8 | #803 | 1 | 4 | yes | — |
| 196 | C2×C3×C8 | C8×Dic3 | 1 | 4 | yes | — |
| 197 | C2×C3×C8 | C8×Dic3 | 1 | 4 | yes | — |
| 198 | C2×C3×C8 | #815 | 1 | 4 | yes | — |
| 199 | C2×C3×C8 | #815 | 1 | 4 | yes | — |
| 200 | C2×C3×C8 | C2×ΓL(1,𝔽25) | 1 | 4 | yes | — |
| 201 | C2×C3×C8 | C2×C4×Dic3 | 1 | 4 | yes | — |
| 202 | C3×C42 | — | 2 | 4 | no | — |
| 203 | C3×C42 | #815 | 1 | 4 | yes | — |
| 204 | C3×C42 | C2×ΓL(1,𝔽25) | 1 | 4 | yes | — |
| 205 | C2×C3⋊C8 | — | 12 | 8 | no | — |
| 206 | C2×C3⋊C8 | — | 24 | 8 | no | — |
| 207 | C3×C16 | #803 | 1 | 8 | yes | — |
| 208 | C3×C16 | C8×Dic3 | 1 | 8 | yes | — |
| 209 | C3×C16 | C2×D3×C8 | 1 | 8 | yes | — |
| 210 | C3×C16 | C2×#208 | 1 | 8 | yes | — |
| 211 | C3⋊C16 | — | 12 | 8 | no | — |
| 212 | C22×C32 | — | 2 | 2 | no | — |
| 213 | C22×C32 | #1313 | 1 | 1 | yes | characteristic |
| 214 | C22×C32 | #1313 | 1 | 1 | yes | characteristic |
| 215 | C22×C32 | C2×#347 | 1 | 1 | yes | characteristic |
| 216 | C32×C4 | — | 4 | 1 | no | — |
| 217 | C32×C4 | — | 4 | 1 | no | — |
| 218 | C32×C4 | #1313 | 1 | 1 | yes | characteristic |
| 219 | C32×C4 | #1313 | 1 | 1 | yes | characteristic |
| 220 | C32×C4 | C2×#322 | 1 | 1 | yes | characteristic |
| 221 | C32×C4 | C2×#347 | 1 | 1 | yes | characteristic |
| 222 | C22×C8 | — | 36 | 1 | no | — |
| 223 | C22×C8 | #3743 | 1 | 1 | yes | characteristic |
| 224 | C22×C8 | C4×C3⋊Dic3 | 1 | 1 | yes | characteristic |
| 225 | C2×C42 | #3743 | 1 | 1 | yes | characteristic |
| 226 | C2×C16 | — | 18 | 2 | no | — |
| 227 | C2×C16 | — | 36 | 1 | no | — |
| 228 | C2×C16 | — | 36 | 1 | no | — |
| 229 | C2×C16 | C8×C3⋊D3 | 1 | 2 | yes | — |
| 230 | C2×C16 | C8×C3⋊D3 | 1 | 2 | yes | — |
| 231 | C2×C16 | #3748 | 1 | 2 | yes | — |
| 232 | C2×C16 | #3748 | 1 | 2 | yes | — |
| 233 | C2×C16 | C4×C3⋊Dic3 | 1 | 1 | yes | characteristic |
| 234 | C2×C16 | C4×C3⋊Dic3 | 1 | 1 | yes | characteristic |
| 235 | C2×C16 | C2×C4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 236 | C2×C16 | C22×C3⋊Dic3 | 1 | 1 | yes | characteristic |
| 237 | C4×C8 | — | 18 | 2 | no | — |
| 238 | C4×C8 | — | 36 | 1 | no | — |
| 239 | C4×C8 | #3743 | 1 | 1 | yes | characteristic |
| 240 | C4×C8 | #3743 | 1 | 1 | yes | characteristic |
| 241 | C4×C8 | C4×C3⋊Dic3 | 1 | 1 | yes | characteristic |
| 242 | C4×C8 | C2×C4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 243 | C32 | — | 2 | 4 | no | — |
| 244 | C32 | — | 9 | 8 | no | — |
| 245 | C23×C3 | #4512 | 1 | 4 | yes | — |
| 246 | C2×C3×C4 | — | 2 | 4 | no | — |
| 247 | C2×C3×C4 | — | 2 | 4 | no | — |
| 248 | C2×C3×C4 | — | 4 | 8 | no | — |
| 249 | C2×C3×C4 | #4454 | 1 | 4 | yes | — |
| 250 | C2×C3×C4 | #4454 | 1 | 4 | yes | — |
| 251 | C2×C3×C4 | #4512 | 1 | 4 | yes | — |
| 252 | C2×C3×C4 | #4512 | 1 | 4 | yes | — |
| 253 | C2×C3×C4 | #4512 | 1 | 4 | yes | — |
| 254 | C2×C3×C4 | C2×#815 | 1 | 4 | yes | — |
| 255 | C3×C8 | — | 2 | 4 | no | — |
| 256 | C3×C8 | — | 2 | 4 | no | — |
| 257 | C3×C8 | #4454 | 1 | 4 | yes | — |
| 258 | C3×C8 | #4454 | 1 | 4 | yes | — |
| 259 | C3×C8 | C2×#803 | 1 | 4 | yes | — |
| 260 | C3×C8 | C2×C8×Dic3 | 1 | 4 | yes | — |
| 261 | C3⋊C8 | — | 24 | 8 | no | — |
| 262 | C2×C32 | — | 2 | 1 | no | — |
| 263 | C2×C32 | — | 2 | 1 | no | — |
| 264 | C2×C32 | #7333 | 1 | 2 | yes | complemented |
| 265 | C2×C32 | C2×#1313 | 1 | 1 | yes | characteristic |
| 266 | C22×C4 | — | 2 | 1 | no | — |
| 267 | C22×C4 | #63642 | 1 | 1 | yes | characteristic |
| 268 | C2×C8 | — | 2 | 1 | no | — |
| 269 | C2×C8 | — | 2 | 1 | no | — |
| 270 | C2×C8 | — | 36 | 2 | no | — |
| 271 | C2×C8 | — | 72 | 2 | no | — |
| 272 | C2×C8 | #63630 | 1 | 1 | yes | characteristic |
| 273 | C2×C8 | #63630 | 1 | 1 | yes | characteristic |
| 274 | C2×C8 | C8×C3⋊Dic3 | 1 | 1 | yes | characteristic |
| 275 | C2×C8 | C8×C3⋊Dic3 | 1 | 1 | yes | characteristic |
| 276 | C2×C8 | #63642 | 1 | 1 | yes | characteristic |
| 277 | C2×C8 | #63642 | 1 | 1 | yes | characteristic |
| 278 | C2×C8 | C2×#3743 | 1 | 1 | yes | characteristic |
| 279 | C2×C8 | C2×C4×C3⋊Dic3 | 1 | 1 | yes | characteristic |
| 280 | C42 | — | 2 | 1 | no | — |
| 281 | C42 | #63642 | 1 | 1 | yes | characteristic |
| 282 | C42 | C2×#3743 | 1 | 1 | yes | characteristic |
| 283 | C16 | — | 36 | 2 | no | — |
| 284 | C16 | #63630 | 1 | 2 | yes | — |
| 285 | C16 | C8×C3⋊Dic3 | 1 | 2 | yes | — |
| 286 | C16 | C2×C8×C3⋊D3 | 1 | 2 | yes | — |
| 287 | C16 | C2×#3748 | 1 | 2 | yes | — |
| 288 | C22×C3 | — | 2 | 8 | no | — |
| 289 | C22×C3 | #67512 | 1 | 4 | yes | — |
| 290 | C22×C3 | #67512 | 1 | 4 | yes | — |
| 291 | C22×C3 | C2×#4512 | 1 | 4 | yes | — |
| 292 | C3×C4 | — | 4 | 4 | no | — |
| 293 | C3×C4 | — | 4 | 4 | no | — |
| 294 | C3×C4 | #67512 | 1 | 4 | yes | — |
| 295 | C3×C4 | #67512 | 1 | 4 | yes | — |
| 296 | C3×C4 | C2×#4454 | 1 | 4 | yes | — |
| 297 | C3×C4 | C2×#4512 | 1 | 4 | yes | — |
| 298 | C32 | C2×#7333 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 299 | C23 | #10589378 | 1 | 1 | yes | characteristic |
| 300 | C2×C4 | — | 2 | 1 | no | — |
| 301 | C2×C4 | — | 2 | 1 | no | — |
| 302 | C2×C4 | — | 4 | 2 | no | — |
| 303 | C2×C4 | #10589320 | 1 | 1 | yes | characteristic |
| 304 | C2×C4 | #10589320 | 1 | 1 | yes | characteristic |
| 305 | C2×C4 | #10589378 | 1 | 1 | yes | characteristic |
| 306 | C2×C4 | #10589378 | 1 | 1 | yes | characteristic |
| 307 | C2×C4 | #10589378 | 1 | 1 | yes | characteristic |
| 308 | C2×C4 | C2×#63642 | 1 | 1 | yes | characteristic |
| 309 | C8 | — | 2 | 1 | no | — |
| 310 | C8 | — | 2 | 1 | no | — |
| 311 | C8 | — | 72 | 2 | no | — |
| 312 | C8 | #10589320 | 1 | 1 | yes | characteristic |
| 313 | C8 | #10589320 | 1 | 1 | yes | characteristic |
| 314 | C8 | C2×#63630 | 1 | 1 | yes | characteristic |
| 315 | C8 | C2×C8×C3⋊Dic3 | 1 | 1 | yes | characteristic |
| 316 | C2×C3 | — | 2 | 4 | no | — |
| 317 | C2×C3 | — | 2 | 4 | no | — |
| 318 | C2×C3 | #10682524 | 1 | 8 | yes | complemented |
| 319 | C2×C3 | C2×#67512 | 1 | 4 | yes | — |
| 320 | C22 | — | 2 | 2 | no | — |
| 321 | C22 | #11771325 | 1 | 1 | yes | characteristic |
| 322 | C22 | #11771325 | 1 | 1 | yes | characteristic |
| 323 | C22 | C2×#10589378 | 1 | 1 | yes | characteristic |
| 324 | C4 | — | 4 | 1 | no | — |
| 325 | C4 | — | 4 | 1 | no | — |
| 326 | C4 | #11771325 | 1 | 1 | yes | characteristic |
| 327 | C4 | #11771325 | 1 | 1 | yes | characteristic |
| 328 | C4 | C2×#10589320 | 1 | 1 | yes | characteristic |
| 329 | C4 | C2×#10589378 | 1 | 1 | yes | characteristic |
| 330 | C3 | C2×#10682524 | 1 | 4 | yes | complemented |
| 331 | C2 | — | 2 | 1 | no | — |
| 332 | C2 | — | 2 | 1 | no | — |
| 333 | C2 | #72245441 | 1 | 2 | yes | direct product factor |
| 334 | C2 | C2×#11771325 | 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