Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
528 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 68 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 | C3×#5683 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#5062 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10591645 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10589408 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10589182 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #71951 | — | 3 | 1 | no | maximal |
| 7 | #70987 | — | 3 | 1 | no | maximal |
| 8 | C3×#1007 | C22 | 1 | 1 | yes | characteristic, complemented |
| 9 | C32×#124 | C22 | 1 | 1 | yes | characteristic |
| 10 | C3×#947 | C22 | 1 | 2 | yes | — |
| 11 | C3×#937 | — | 2 | 1 | no | — |
| 12 | C3×#932 | — | 2 | 1 | no | — |
| 13 | C3×#885 | — | 2 | 2 | no | — |
| 14 | C3×#882 | — | 2 | 2 | no | — |
| 15 | C3×#875 | — | 2 | 1 | no | — |
| 16 | #63823 | — | 2 | 2 | no | — |
| 17 | #63663 | C22 | 1 | 2 | yes | complemented |
| 18 | C3×#836 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C3×#805 | — | 2 | 1 | no | — |
| 20 | #63569 | — | 2 | 2 | no | — |
| 21 | C3×H(3,𝔽4) | — | 3 | 1 | no | — |
| 22 | #5683 | D3 | 1 | 1 | yes | characteristic, complemented |
| 23 | C3×#454 | — | 3 | 1 | no | — |
| 24 | #5245 | — | 3 | 2 | no | — |
| 25 | #5062 | — | 3 | 2 | no | — |
| 26 | #5062 | D3 | 1 | 1 | yes | characteristic, complemented |
| 27 | #4542 | — | 3 | 1 | no | — |
| 28 | #4542 | — | 3 | 1 | no | — |
| 29 | #4542 | — | 3 | 2 | no | — |
| 30 | #4542 | — | 6 | 1 | no | — |
| 31 | #4477 | — | 3 | 2 | no | — |
| 32 | C23×C3×D3 | — | 2 | 1 | no | — |
| 33 | C2×C32×Q8 | C23 | 1 | 1 | yes | characteristic |
| 34 | C2×C32×D4 | D4 | 1 | 1 | yes | characteristic |
| 35 | C2×C3×#67 | — | 2 | 2 | no | — |
| 36 | C3×#239 | — | 4 | 1 | no | — |
| 37 | C3×D3×Q8 | — | 4 | 1 | no | — |
| 38 | C3×#235 | — | 2 | 1 | no | — |
| 39 | C3×#235 | — | 2 | 2 | no | — |
| 40 | C2×C3×D12 | — | 2 | 1 | no | — |
| 41 | C2×C3×D12 | D4 | 1 | 2 | yes | — |
| 42 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 43 | C32×C22⋊C4 | — | 2 | 2 | no | — |
| 44 | C32×C42 | D4 | 1 | 1 | yes | characteristic |
| 45 | #3748 | — | 2 | 2 | no | — |
| 46 | C3×#217 | — | 2 | 1 | no | — |
| 47 | C3×#214 | — | 4 | 1 | no | — |
| 48 | C3×#213 | — | 4 | 1 | no | — |
| 49 | C3×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 50 | C3×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 51 | C3×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 52 | C3×C4×Dic3 | D4 | 1 | 2 | yes | — |
| 53 | C3×#208 | — | 2 | 1 | no | — |
| 54 | #3715 | — | 4 | 2 | no | — |
| 55 | #3713 | — | 4 | 2 | no | — |
| 56 | #2202 | — | 9 | 1 | no | Sylow |
| 57 | C3×2−1+4 | — | 3 | 1 | no | — |
| 58 | #1007 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 59 | C3×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 60 | C3×#124 | — | 2 | 1 | no | — |
| 61 | C3×#124 | — | 3 | 2 | no | — |
| 62 | C3×#124 | — | 6 | 2 | no | — |
| 63 | C3×#124 | — | 6 | 1 | no | — |
| 64 | C3×#124 | C2×D3 | 1 | 1 | yes | characteristic |
| 65 | C3×#124 | C2×D3 | 1 | 1 | yes | characteristic |
| 66 | C3×#120 | — | 6 | 2 | no | — |
| 67 | C3×#120 | — | 6 | 1 | no | — |
| 68 | #949 | — | 6 | 2 | no | — |
| 69 | #947 | C2×D3 | 1 | 2 | yes | — |
| 70 | #937 | — | 2 | 1 | no | — |
| 71 | #932 | — | 2 | 1 | no | — |
| 72 | #932 | — | 6 | 2 | no | — |
| 73 | #885 | — | 2 | 2 | no | — |
| 74 | #882 | — | 2 | 2 | no | — |
| 75 | #875 | — | 2 | 1 | no | — |
| 76 | C3×#104 | — | 6 | 1 | no | — |
| 77 | C3×#101 | — | 3 | 1 | no | — |
| 78 | #837 | — | 6 | 2 | no | — |
| 79 | #836 | — | 3 | 2 | no | — |
| 80 | #836 | — | 3 | 2 | no | — |
| 81 | #836 | — | 6 | 2 | no | — |
| 82 | #836 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 83 | #805 | — | 2 | 1 | no | — |
| 84 | #805 | — | 6 | 2 | no | — |
| 85 | C23×C32 | — | 2 | 1 | no | — |
| 86 | C22×C3×D3 | — | 2 | 2 | no | — |
| 87 | C22×C3×D3 | — | 8 | 2 | no | — |
| 88 | C22×C3×D3 | — | 8 | 1 | no | — |
| 89 | C32×Q8 | — | 4 | 1 | no | — |
| 90 | C32×D4 | — | 4 | 1 | no | — |
| 91 | C2×C32×C4 | — | 2 | 1 | no | — |
| 92 | C2×C32×C4 | C2×D4 | 1 | 2 | yes | — |
| 93 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 94 | C3×#67 | — | 4 | 1 | no | — |
| 95 | C3×#67 | — | 8 | 2 | no | — |
| 96 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 97 | C3×D12 | — | 2 | 2 | no | — |
| 98 | C3×D12 | — | 2 | 1 | no | — |
| 99 | C3×D12 | — | 4 | 2 | no | — |
| 100 | C3×D12 | — | 8 | 1 | no | — |
| 101 | C3×C4×D3 | — | 4 | 1 | no | — |
| 102 | C3×C4×D3 | — | 4 | 2 | no | — |
| 103 | C3×Dic6 | — | 2 | 2 | no | — |
| 104 | C3×Dic6 | — | 2 | 1 | no | — |
| 105 | C3×Dic6 | — | 8 | 1 | no | — |
| 106 | C3⋊(C3⋊C8) | — | 4 | 2 | no | — |
| 107 | C3×C3⋊C8 | — | 4 | 1 | no | — |
| 108 | H(3,𝔽4) | — | 3 | 1 | no | — |
| 109 | #454 | — | 3 | 1 | no | — |
| 110 | #454 | — | 9 | 2 | no | — |
| 111 | #355 | — | 9 | 2 | no | — |
| 112 | #355 | — | 9 | 1 | no | — |
| 113 | C24×C3 | — | 6 | 1 | no | — |
| 114 | C23×D3 | — | 2 | 1 | no | — |
| 115 | C3×#41 | — | 6 | 2 | no | — |
| 116 | C3×#41 | — | 6 | 1 | no | — |
| 117 | C3×#41 | — | 12 | 1 | no | — |
| 118 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 119 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 120 | C2×C3×Q8 | — | 12 | 1 | no | — |
| 121 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 122 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 123 | C2×C3×D4 | — | 2 | 1 | no | — |
| 124 | C2×C3×D4 | — | 3 | 2 | no | — |
| 125 | C2×C3×D4 | — | 6 | 1 | no | — |
| 126 | C2×C3×D4 | — | 6 | 2 | no | — |
| 127 | C2×C3×D4 | #67 | 1 | 1 | yes | characteristic |
| 128 | C2×C3×D4 | #67 | 1 | 1 | yes | characteristic |
| 129 | C2×#67 | — | 2 | 2 | no | — |
| 130 | #239 | — | 4 | 1 | no | — |
| 131 | D3×Q8 | — | 4 | 1 | no | — |
| 132 | #235 | — | 2 | 2 | no | — |
| 133 | #235 | — | 2 | 1 | no | — |
| 134 | C2×D12 | — | 2 | 1 | no | — |
| 135 | C2×D12 | #67 | 1 | 2 | yes | — |
| 136 | C2×Dic6 | — | 2 | 1 | no | — |
| 137 | C3×SD16 | — | 12 | 1 | no | — |
| 138 | C3×D8 | — | 12 | 1 | no | — |
| 139 | C3×M16 | — | 6 | 1 | no | — |
| 140 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 141 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 142 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 143 | C3×C22⋊C4 | — | 6 | 2 | no | — |
| 144 | C3×C22⋊C4 | — | 6 | 1 | no | — |
| 145 | C3×C22⋊C4 | — | 6 | 2 | no | — |
| 146 | C3×C22⋊C4 | — | 6 | 2 | no | — |
| 147 | C3×C42 | — | 2 | 1 | no | — |
| 148 | C3×C42 | — | 3 | 2 | no | — |
| 149 | C3×C42 | #67 | 1 | 1 | yes | characteristic |
| 150 | C3×C42 | #67 | 1 | 1 | yes | characteristic |
| 151 | #217 | — | 2 | 1 | no | — |
| 152 | #215 | — | 12 | 2 | no | — |
| 153 | #214 | — | 4 | 1 | no | — |
| 154 | #214 | — | 12 | 2 | no | — |
| 155 | #213 | — | 4 | 1 | no | — |
| 156 | #213 | — | 12 | 2 | no | — |
| 157 | #213 | — | 12 | 2 | no | — |
| 158 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 159 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 160 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 161 | C4×Dic3 | #67 | 1 | 2 | yes | — |
| 162 | #208 | — | 2 | 1 | no | — |
| 163 | #208 | — | 6 | 2 | no | — |
| 164 | #208 | — | 6 | 2 | no | — |
| 165 | #208 | — | 12 | 2 | no | — |
| 166 | C22×C32 | — | 4 | 2 | no | — |
| 167 | C22×C32 | — | 4 | 1 | no | — |
| 168 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 169 | C2×C3×D3 | — | 4 | 2 | no | — |
| 170 | C2×C3×D3 | — | 4 | 2 | no | — |
| 171 | C2×C3×D3 | — | 4 | 1 | no | — |
| 172 | C2×C3×D3 | — | 4 | 2 | no | — |
| 173 | C2×C3×D3 | — | 8 | 4 | no | — |
| 174 | C32×C4 | — | 2 | 1 | no | — |
| 175 | C32×C4 | — | 2 | 2 | no | — |
| 176 | C32×C4 | — | 4 | 1 | no | — |
| 177 | C3×Dic3 | — | 4 | 2 | no | — |
| 178 | C3×Dic3 | — | 4 | 1 | no | — |
| 179 | 2−1+4 | — | 3 | 1 | no | — |
| 180 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 181 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 182 | #124 | — | 3 | 2 | no | — |
| 183 | #124 | — | 6 | 2 | no | — |
| 184 | #124 | — | 6 | 1 | no | — |
| 185 | #124 | D32 | 1 | 1 | yes | characteristic |
| 186 | #120 | — | 6 | 2 | no | — |
| 187 | #120 | — | 6 | 1 | no | — |
| 188 | #104 | — | 6 | 1 | no | — |
| 189 | #104 | — | 18 | 2 | no | — |
| 190 | #101 | — | 3 | 1 | no | — |
| 191 | #101 | — | 9 | 2 | no | — |
| 192 | C23×C3 | — | 2 | 1 | no | — |
| 193 | C23×C3 | — | 2 | 1 | no | — |
| 194 | C23×C3 | — | 4 | 1 | no | — |
| 195 | C23×C3 | — | 6 | 2 | no | — |
| 196 | C23×C3 | — | 24 | 2 | no | — |
| 197 | C23×C3 | — | 24 | 1 | no | — |
| 198 | C22×D3 | — | 2 | 2 | no | — |
| 199 | C22×D3 | — | 8 | 2 | no | — |
| 200 | C22×D3 | — | 8 | 1 | no | — |
| 201 | C3×Q8 | — | 4 | 1 | no | — |
| 202 | C3×Q8 | — | 4 | 1 | no | — |
| 203 | C3×Q8 | — | 6 | 2 | no | — |
| 204 | C3×Q8 | — | 6 | 1 | no | — |
| 205 | C3×Q8 | — | 8 | 1 | no | — |
| 206 | C3×Q8 | — | 24 | 1 | no | — |
| 207 | C3×D4 | — | 4 | 1 | no | — |
| 208 | C3×D4 | — | 4 | 1 | no | — |
| 209 | C3×D4 | — | 6 | 2 | no | — |
| 210 | C3×D4 | — | 6 | 1 | no | — |
| 211 | C3×D4 | — | 8 | 1 | no | — |
| 212 | C3×D4 | — | 12 | 2 | no | — |
| 213 | C3×D4 | — | 12 | 1 | no | — |
| 214 | C3×D4 | — | 24 | 1 | no | — |
| 215 | C3×D4 | — | 24 | 2 | no | — |
| 216 | C2×C3×C4 | — | 2 | 1 | no | — |
| 217 | C2×C3×C4 | — | 2 | 1 | no | — |
| 218 | C2×C3×C4 | — | 2 | 1 | no | — |
| 219 | C2×C3×C4 | — | 2 | 2 | no | — |
| 220 | C2×C3×C4 | — | 4 | 1 | no | — |
| 221 | C2×C3×C4 | — | 6 | 2 | no | — |
| 222 | C2×C3×C4 | — | 12 | 2 | no | — |
| 223 | C2×C3×C4 | — | 12 | 1 | no | — |
| 224 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 225 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 226 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 227 | C2×C3×C4 | C2×#67 | 1 | 2 | yes | — |
| 228 | #67 | — | 4 | 1 | no | — |
| 229 | #67 | — | 8 | 2 | no | — |
| 230 | C2×Dic3 | — | 2 | 2 | no | — |
| 231 | D12 | — | 2 | 1 | no | — |
| 232 | D12 | — | 2 | 2 | no | — |
| 233 | D12 | — | 4 | 2 | no | — |
| 234 | D12 | — | 8 | 1 | no | — |
| 235 | C4×D3 | — | 4 | 1 | no | — |
| 236 | C4×D3 | — | 4 | 2 | no | — |
| 237 | Dic6 | — | 2 | 1 | no | — |
| 238 | Dic6 | — | 2 | 2 | no | — |
| 239 | Dic6 | — | 8 | 1 | no | — |
| 240 | C3×C8 | — | 12 | 1 | no | — |
| 241 | C3⋊C8 | — | 4 | 1 | no | — |
| 242 | C3⋊C8 | — | 12 | 2 | no | — |
| 243 | C3⋊C8 | — | 12 | 2 | no | — |
| 244 | C3⋊C8 | — | 24 | 2 | no | — |
| 245 | C2×C32 | — | 2 | 1 | no | — |
| 246 | C2×C32 | — | 8 | 1 | no | — |
| 247 | C2×C32 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 248 | C3×D3 | — | 8 | 1 | no | — |
| 249 | C3×D3 | — | 8 | 2 | no | — |
| 250 | C24 | — | 6 | 1 | no | — |
| 251 | #41 | — | 6 | 1 | no | — |
| 252 | #41 | — | 6 | 2 | no | — |
| 253 | #41 | — | 12 | 1 | no | — |
| 254 | C2×Q8 | — | 6 | 1 | no | — |
| 255 | C2×Q8 | — | 12 | 1 | no | — |
| 256 | C2×Q8 | C2×D32 | 1 | 1 | yes | characteristic |
| 257 | C2×D4 | — | 3 | 2 | no | — |
| 258 | C2×D4 | — | 6 | 1 | no | — |
| 259 | C2×D4 | — | 6 | 2 | no | — |
| 260 | C2×D4 | #625 | 1 | 1 | yes | characteristic |
| 261 | SD16 | — | 12 | 1 | no | — |
| 262 | SD16 | — | 36 | 2 | no | — |
| 263 | D8 | — | 12 | 1 | no | — |
| 264 | D8 | — | 36 | 2 | no | — |
| 265 | M16 | — | 6 | 1 | no | — |
| 266 | M16 | — | 18 | 2 | no | — |
| 267 | C22⋊C4 | — | 2 | 2 | no | — |
| 268 | C22⋊C4 | — | 6 | 2 | no | — |
| 269 | C22⋊C4 | — | 6 | 1 | no | — |
| 270 | C22⋊C4 | — | 6 | 2 | no | — |
| 271 | C22⋊C4 | — | 6 | 2 | no | — |
| 272 | C42 | — | 3 | 2 | no | — |
| 273 | C42 | #625 | 1 | 1 | yes | characteristic |
| 274 | C22×C3 | — | 2 | 1 | no | — |
| 275 | C22×C3 | — | 4 | 2 | no | — |
| 276 | C22×C3 | — | 4 | 2 | no | — |
| 277 | C22×C3 | — | 4 | 1 | no | — |
| 278 | C22×C3 | — | 4 | 1 | no | — |
| 279 | C22×C3 | — | 8 | 1 | no | — |
| 280 | C22×C3 | — | 8 | 2 | no | — |
| 281 | C22×C3 | — | 12 | 2 | no | — |
| 282 | C22×C3 | — | 12 | 2 | no | — |
| 283 | C22×C3 | — | 12 | 1 | no | — |
| 284 | C22×C3 | — | 12 | 2 | no | — |
| 285 | C22×C3 | — | 24 | 4 | no | — |
| 286 | C22×C3 | #937 | 1 | 1 | yes | characteristic |
| 287 | C22×C3 | #953 | 1 | 1 | yes | characteristic |
| 288 | C2×D3 | — | 4 | 2 | no | — |
| 289 | C2×D3 | — | 4 | 2 | no | — |
| 290 | C2×D3 | — | 4 | 2 | no | — |
| 291 | C2×D3 | — | 4 | 1 | no | — |
| 292 | C2×D3 | — | 8 | 4 | no | — |
| 293 | C3×C4 | — | 2 | 2 | no | — |
| 294 | C3×C4 | — | 2 | 1 | no | — |
| 295 | C3×C4 | — | 2 | 1 | no | — |
| 296 | C3×C4 | — | 2 | 2 | no | — |
| 297 | C3×C4 | — | 4 | 2 | no | — |
| 298 | C3×C4 | — | 4 | 1 | no | — |
| 299 | C3×C4 | — | 4 | 1 | no | — |
| 300 | C3×C4 | — | 4 | 1 | no | — |
| 301 | C3×C4 | — | 8 | 1 | no | — |
| 302 | C3×C4 | — | 12 | 2 | no | — |
| 303 | C3×C4 | — | 12 | 1 | no | — |
| 304 | Dic3 | — | 4 | 2 | no | — |
| 305 | Dic3 | — | 4 | 1 | no | — |
| 306 | C32 | #2202 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 307 | C23 | — | 2 | 1 | no | — |
| 308 | C23 | — | 6 | 2 | no | — |
| 309 | C23 | — | 24 | 2 | no | — |
| 310 | C23 | — | 24 | 1 | no | — |
| 311 | Q8 | — | 4 | 1 | no | — |
| 312 | Q8 | — | 6 | 1 | no | — |
| 313 | Q8 | — | 6 | 2 | no | — |
| 314 | Q8 | — | 24 | 1 | no | — |
| 315 | D4 | — | 4 | 1 | no | — |
| 316 | D4 | — | 6 | 1 | no | — |
| 317 | D4 | — | 6 | 2 | no | — |
| 318 | D4 | — | 12 | 2 | no | — |
| 319 | D4 | — | 12 | 1 | no | — |
| 320 | D4 | — | 24 | 1 | no | — |
| 321 | D4 | — | 24 | 2 | no | — |
| 322 | C2×C4 | — | 2 | 1 | no | — |
| 323 | C2×C4 | — | 6 | 2 | no | — |
| 324 | C2×C4 | — | 12 | 1 | no | — |
| 325 | C2×C4 | — | 12 | 2 | no | — |
| 326 | C2×C4 | C2×#625 | 1 | 1 | yes | characteristic |
| 327 | C2×C4 | D3×#67 | 1 | 2 | yes | — |
| 328 | C8 | — | 12 | 1 | no | — |
| 329 | C8 | — | 36 | 2 | no | — |
| 330 | C2×C3 | — | 2 | 1 | no | — |
| 331 | C2×C3 | — | 2 | 1 | no | — |
| 332 | C2×C3 | — | 2 | 1 | no | — |
| 333 | C2×C3 | — | 4 | 1 | no | — |
| 334 | C2×C3 | — | 8 | 1 | no | — |
| 335 | C2×C3 | — | 8 | 1 | no | — |
| 336 | C2×C3 | — | 16 | 1 | no | — |
| 337 | C2×C3 | — | 24 | 1 | no | — |
| 338 | C2×C3 | — | 24 | 2 | no | — |
| 339 | C2×C3 | #5032 | 1 | 1 | yes | characteristic |
| 340 | C2×C3 | #5244 | 1 | 1 | yes | characteristic |
| 341 | D3 | — | 8 | 2 | no | — |
| 342 | D3 | — | 8 | 1 | no | — |
| 343 | C22 | — | 4 | 2 | no | — |
| 344 | C22 | — | 4 | 1 | no | — |
| 345 | C22 | — | 12 | 2 | no | — |
| 346 | C22 | — | 12 | 2 | no | — |
| 347 | C22 | — | 12 | 1 | no | — |
| 348 | C22 | — | 12 | 2 | no | — |
| 349 | C22 | — | 24 | 4 | no | — |
| 350 | C22 | #63976 | 1 | 1 | yes | characteristic |
| 351 | C4 | — | 2 | 1 | no | — |
| 352 | C4 | — | 2 | 2 | no | — |
| 353 | C4 | — | 4 | 1 | no | — |
| 354 | C4 | — | 12 | 2 | no | — |
| 355 | C4 | — | 12 | 1 | no | — |
| 356 | C3 | — | 2 | 1 | no | — |
| 357 | C3 | #70987 | 1 | 1 | yes | characteristic, complemented |
| 358 | C3 | #71951 | 1 | 1 | yes | characteristic, complemented |
| 359 | C2 | — | 2 | 1 | no | — |
| 360 | C2 | — | 8 | 1 | no | — |
| 361 | C2 | — | 24 | 2 | no | — |
| 362 | C2 | — | 24 | 1 | no | — |
| 363 | C2 | #10591530 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C3×#5683 | C2 | semidirect |
| 2. C3×#5062 | C2 | semidirect |
| 3. #10591645 | C2 | semidirect |
| 4. #10589408 | C2 | semidirect |
| 5. #10589182 | C2 | semidirect |
| 8. C3×#1007 | C22 | semidirect |
| 17. #63663 | C22 | semidirect |
| 18. C3×#836 | C22 | semidirect |
| 22. #5683 | D3 | semidirect |
| 26. #5062 | D3 | semidirect |
| 58. #1007 | C2×D3 | semidirect |
| 82. #836 | C2×D3 | semidirect |
| 306. C32 | #2202 | semidirect |
| 357. C3 | #70987 | semidirect |
| 358. C3 | #71951 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#5683 | 2 |
| C3×#5062 | 2 |
| #10591645 | 2 |
| #10589408 | 2 |
| #10589182 | 2 |
| #71951 | 3 |
| #70987 | 3 |