Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
518 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 71 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 | C2×C3×#985 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #5819⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10593657 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10593221 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10593219 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #85452 | — | 3 | 1 | no | maximal |
| 7 | #83910 | — | 3 | 1 | no | maximal |
| 8 | C2×C3×#41⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 9 | C3×#985 | C4 | 1 | 1 | yes | characteristic, complemented |
| 10 | C3×#985 | C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | C3×#985 | C22 | 1 | 1 | yes | characteristic |
| 12 | C3×#985 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C3×GL(2,𝔽3) | C4 | 1 | 1 | yes | characteristic, complemented |
| 14 | C2×C3×#226 | C4 | 1 | 1 | yes | characteristic, complemented |
| 15 | D3×#208 | — | 4 | 1 | no | maximal |
| 16 | C3⋊(#131⋊C3) | C22 | 1 | 2 | yes | complemented |
| 17 | C3⋊GU(2,𝔽3) | C22 | 1 | 2 | yes | complemented |
| 18 | C2×#985 | D3 | 1 | 1 | yes | characteristic |
| 19 | C2×C3×#135 | — | 3 | 1 | no | — |
| 20 | #5819 | — | 3 | 1 | no | — |
| 21 | #5819 | D3 | 1 | 1 | yes | characteristic, complemented |
| 22 | #568⋊C3 | — | 3 | 1 | no | — |
| 23 | #5423 | — | 3 | 1 | no | — |
| 24 | #5423 | — | 6 | 1 | no | — |
| 25 | #5405 | — | 3 | 2 | no | — |
| 26 | #5404 | — | 3 | 2 | no | — |
| 27 | #5236 | — | 3 | 1 | no | — |
| 28 | #5236 | — | 3 | 1 | no | — |
| 29 | #5197 | — | 3 | 2 | no | — |
| 30 | #5197 | — | 3 | 2 | no | — |
| 31 | #5196 | — | 3 | 2 | no | — |
| 32 | #5196 | — | 3 | 2 | no | — |
| 33 | C2×#819 | — | 3 | 1 | no | — |
| 34 | #5101 | — | 3 | 1 | no | — |
| 35 | C2×C3×C4×D3 | — | 4 | 1 | no | — |
| 36 | C3×#41⋊C3 | C2×C4 | 1 | 1 | yes | characteristic |
| 37 | C3×#41⋊C3 | C23 | 1 | 1 | yes | characteristic |
| 38 | C2×C3×SL(2,𝔽3) | C2×C4 | 1 | 1 | yes | characteristic |
| 39 | C3×GL(2,𝔽3) | C2×C4 | 1 | 1 | yes | characteristic |
| 40 | C3×GL(2,𝔽3) | C2×C4 | 1 | 1 | yes | characteristic |
| 41 | C3×#226 | C2×C4 | 1 | 1 | yes | characteristic |
| 42 | C3×#226 | C2×C4 | 1 | 1 | yes | characteristic |
| 43 | #3748 | — | 4 | 1 | no | — |
| 44 | C3×#208 | — | 4 | 1 | no | — |
| 45 | #3711 | — | 4 | 2 | no | — |
| 46 | D3×C3⋊C8 | — | 4 | 2 | no | — |
| 47 | #2957 | — | 9 | 1 | no | Sylow |
| 48 | C2×C3×#41 | — | 3 | 1 | no | — |
| 49 | C2×C3×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 50 | C2×#41⋊C3 | — | 2 | 1 | no | — |
| 51 | C2×#41⋊C3 | C2×D3 | 1 | 1 | yes | characteristic |
| 52 | #985 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 53 | #985 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 54 | #985 | C2×D3 | 1 | 1 | yes | characteristic |
| 55 | #985 | C2×D3 | 1 | 1 | yes | characteristic |
| 56 | C2×GL(2,𝔽3) | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 57 | C2×#226 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 58 | C3×#135 | — | 3 | 1 | no | — |
| 59 | C3×#135 | — | 3 | 1 | no | — |
| 60 | C3×#135 | — | 3 | 1 | no | — |
| 61 | C3×#135 | — | 3 | 1 | no | — |
| 62 | C3×#135 | — | 3 | 1 | no | — |
| 63 | C3×#135 | — | 3 | 1 | no | — |
| 64 | C3×#135 | — | 3 | 1 | no | — |
| 65 | C3×#135 | — | 3 | 1 | no | — |
| 66 | C2×C3×Q16 | — | 3 | 1 | no | — |
| 67 | C2×C3×SD16 | — | 3 | 1 | no | — |
| 68 | C2×C3×SD16 | — | 3 | 1 | no | — |
| 69 | C2×C3×D8 | — | 3 | 1 | no | — |
| 70 | C22×C3×C8 | — | 3 | 1 | no | — |
| 71 | #948 | — | 3 | 2 | no | — |
| 72 | #948 | — | 3 | 2 | no | — |
| 73 | #948 | — | 3 | 2 | no | — |
| 74 | #948 | — | 6 | 2 | no | — |
| 75 | #948 | C2×D3 | 1 | 2 | yes | complemented |
| 76 | #926 | — | 3 | 1 | no | — |
| 77 | C2×#208 | — | 3 | 1 | no | — |
| 78 | C2×#208 | — | 3 | 1 | no | — |
| 79 | C2×#208 | — | 3 | 1 | no | — |
| 80 | C2×#208 | — | 6 | 1 | no | — |
| 81 | C2×#208 | — | 6 | 1 | no | — |
| 82 | D3×M16 | — | 12 | 1 | no | — |
| 83 | #131⋊C3 | — | 3 | 2 | no | — |
| 84 | GU(2,𝔽3) | — | 3 | 2 | no | — |
| 85 | GU(2,𝔽3) | — | 6 | 2 | no | — |
| 86 | #837 | — | 3 | 2 | no | — |
| 87 | #837 | — | 3 | 2 | no | — |
| 88 | #837 | — | 3 | 2 | no | — |
| 89 | #837 | — | 3 | 2 | no | — |
| 90 | #819 | — | 3 | 2 | no | — |
| 91 | #819 | — | 3 | 2 | no | — |
| 92 | #815 | — | 3 | 2 | no | — |
| 93 | C8×Dic3 | — | 3 | 2 | no | — |
| 94 | C22×C3×D3 | — | 4 | 1 | no | — |
| 95 | C2×C32×C4 | — | 4 | 1 | no | — |
| 96 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 97 | C3×C4×D3 | — | 4 | 1 | no | — |
| 98 | C3×C4×D3 | — | 4 | 1 | no | — |
| 99 | C3×C4×D3 | — | 4 | 1 | no | — |
| 100 | C3×C4×D3 | — | 4 | 1 | no | — |
| 101 | C3×SL(2,𝔽3) | C22×C4 | 1 | 1 | yes | characteristic |
| 102 | C3⋊(C3⋊C8) | — | 4 | 2 | no | — |
| 103 | C3×C3⋊C8 | — | 4 | 2 | no | — |
| 104 | C2×#135 | — | 3 | 1 | no | — |
| 105 | #568 | — | 3 | 1 | no | — |
| 106 | #568 | — | 9 | 1 | no | — |
| 107 | #444 | — | 9 | 2 | no | — |
| 108 | #444 | — | 9 | 2 | no | — |
| 109 | #443 | — | 9 | 2 | no | — |
| 110 | #443 | — | 9 | 2 | no | — |
| 111 | C2×#108 | — | 9 | 1 | no | — |
| 112 | #421 | — | 9 | 1 | no | — |
| 113 | #421 | — | 9 | 1 | no | — |
| 114 | #405 | — | 9 | 1 | no | — |
| 115 | C3×#41 | — | 3 | 1 | no | — |
| 116 | C3×#41 | — | 3 | 1 | no | — |
| 117 | C3×#41 | — | 3 | 1 | no | — |
| 118 | C3×#41 | — | 3 | 1 | no | — |
| 119 | C3×#41 | — | 3 | 1 | no | — |
| 120 | C3×#41 | — | 3 | 1 | no | — |
| 121 | C3×#41 | — | 6 | 1 | no | — |
| 122 | C3×#41 | — | 6 | 1 | no | — |
| 123 | C3×#41 | C4×D3 | 1 | 1 | yes | characteristic |
| 124 | C3×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 125 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 126 | C2×C3×Q8 | C4×D3 | 1 | 1 | yes | characteristic |
| 127 | C2×C3×D4 | — | 3 | 1 | no | — |
| 128 | C2×C3×D4 | — | 3 | 1 | no | — |
| 129 | C2×C3×D4 | — | 6 | 1 | no | — |
| 130 | C22×C3×C4 | — | 3 | 1 | no | — |
| 131 | C22×C3×C4 | — | 6 | 1 | no | — |
| 132 | C2×C4×D3 | — | 4 | 1 | no | — |
| 133 | #41⋊C3 | — | 2 | 1 | no | — |
| 134 | #41⋊C3 | — | 2 | 1 | no | — |
| 135 | #41⋊C3 | C2×Dic3 | 1 | 1 | yes | characteristic |
| 136 | #41⋊C3 | C22×D3 | 1 | 1 | yes | characteristic |
| 137 | C2×SL(2,𝔽3) | — | 2 | 1 | no | — |
| 138 | C2×SL(2,𝔽3) | C2×Dic3 | 1 | 1 | yes | characteristic |
| 139 | GL(2,𝔽3) | C2×Dic3 | 1 | 1 | yes | characteristic |
| 140 | GL(2,𝔽3) | C2×Dic3 | 1 | 1 | yes | characteristic |
| 141 | #226 | C2×Dic3 | 1 | 1 | yes | characteristic |
| 142 | #226 | C2×Dic3 | 1 | 1 | yes | characteristic |
| 143 | C3×Q16 | — | 3 | 1 | no | — |
| 144 | C3×Q16 | — | 3 | 1 | no | — |
| 145 | C3×Q16 | — | 3 | 1 | no | — |
| 146 | C3×Q16 | — | 3 | 1 | no | — |
| 147 | C3×SD16 | — | 3 | 1 | no | — |
| 148 | C3×SD16 | — | 3 | 1 | no | — |
| 149 | C3×SD16 | — | 3 | 1 | no | — |
| 150 | C3×SD16 | — | 3 | 1 | no | — |
| 151 | C3×SD16 | — | 3 | 1 | no | — |
| 152 | C3×SD16 | — | 3 | 1 | no | — |
| 153 | C3×SD16 | — | 3 | 1 | no | — |
| 154 | C3×SD16 | — | 3 | 1 | no | — |
| 155 | C3×D8 | — | 3 | 1 | no | — |
| 156 | C3×D8 | — | 3 | 1 | no | — |
| 157 | C3×D8 | — | 3 | 1 | no | — |
| 158 | C3×D8 | — | 3 | 1 | no | — |
| 159 | C3×M16 | — | 12 | 1 | no | — |
| 160 | C2×C3×C8 | — | 3 | 1 | no | — |
| 161 | C2×C3×C8 | — | 3 | 1 | no | — |
| 162 | C2×C3×C8 | — | 3 | 1 | no | — |
| 163 | C2×C3×C8 | — | 3 | 1 | no | — |
| 164 | C2×C3×C8 | — | 3 | 1 | no | — |
| 165 | C2×C3×C8 | — | 3 | 1 | no | — |
| 166 | #217 | — | 6 | 1 | no | — |
| 167 | C4⋊Dic3 | — | 6 | 1 | no | — |
| 168 | C4×Dic3 | — | 3 | 2 | no | — |
| 169 | #208 | — | 3 | 1 | no | — |
| 170 | #208 | — | 3 | 2 | no | — |
| 171 | #208 | — | 3 | 2 | no | — |
| 172 | #208 | — | 3 | 2 | no | — |
| 173 | #208 | — | 6 | 2 | no | — |
| 174 | #208 | — | 6 | 1 | no | — |
| 175 | #208 | — | 6 | 2 | no | — |
| 176 | #208 | — | 12 | 1 | no | — |
| 177 | #208 | — | 24 | 1 | no | — |
| 178 | #208 | S4 | 1 | 1 | yes | characteristic |
| 179 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 180 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 181 | C2×C3⋊C8 | — | 6 | 2 | no | — |
| 182 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 183 | C2×C3⋊C8 | — | 6 | 2 | no | — |
| 184 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 185 | D3×C8 | — | 12 | 2 | no | — |
| 186 | C22×C32 | — | 4 | 1 | no | — |
| 187 | C2×C3×D3 | — | 4 | 1 | no | — |
| 188 | C2×C3×D3 | — | 4 | 1 | no | — |
| 189 | C2×C3×D3 | — | 8 | 2 | no | — |
| 190 | C32×C4 | — | 4 | 1 | no | — |
| 191 | C32×C4 | — | 4 | 1 | no | — |
| 192 | C3×Dic3 | — | 4 | 1 | no | — |
| 193 | C3×Dic3 | — | 4 | 1 | no | — |
| 194 | C2×#41 | — | 3 | 1 | no | — |
| 195 | C2×#41 | D32 | 1 | 1 | yes | characteristic |
| 196 | #135 | — | 3 | 1 | no | — |
| 197 | #135 | — | 3 | 1 | no | — |
| 198 | #135 | — | 3 | 1 | no | — |
| 199 | #135 | — | 3 | 1 | no | — |
| 200 | #135 | — | 3 | 1 | no | — |
| 201 | #135 | — | 3 | 1 | no | — |
| 202 | #135 | — | 3 | 1 | no | — |
| 203 | #135 | — | 3 | 1 | no | — |
| 204 | C2×Q16 | — | 3 | 1 | no | — |
| 205 | C2×SD16 | — | 3 | 1 | no | — |
| 206 | C2×SD16 | — | 3 | 1 | no | — |
| 207 | C2×D8 | — | 3 | 1 | no | — |
| 208 | #131 | — | 3 | 2 | no | — |
| 209 | #131 | — | 9 | 2 | no | — |
| 210 | #131 | — | 9 | 2 | no | — |
| 211 | #131 | — | 9 | 2 | no | — |
| 212 | #131 | — | 18 | 2 | no | — |
| 213 | C2×M16 | — | 9 | 1 | no | — |
| 214 | C2×M16 | — | 9 | 1 | no | — |
| 215 | C2×M16 | — | 9 | 1 | no | — |
| 216 | C2×M16 | — | 18 | 1 | no | — |
| 217 | C2×M16 | — | 18 | 1 | no | — |
| 218 | C22×C8 | — | 3 | 1 | no | — |
| 219 | #117 | — | 9 | 1 | no | — |
| 220 | #108 | — | 9 | 2 | no | — |
| 221 | #108 | — | 9 | 2 | no | — |
| 222 | #104 | — | 9 | 2 | no | — |
| 223 | #104 | — | 9 | 2 | no | — |
| 224 | #104 | — | 9 | 2 | no | — |
| 225 | #104 | — | 9 | 2 | no | — |
| 226 | #97 | — | 9 | 2 | no | — |
| 227 | C4×C8 | — | 9 | 2 | no | — |
| 228 | C23×C3 | — | 3 | 1 | no | — |
| 229 | C23×C3 | — | 6 | 1 | no | — |
| 230 | C22×D3 | — | 4 | 1 | no | — |
| 231 | C3×Q8 | — | 3 | 1 | no | — |
| 232 | C3×Q8 | — | 3 | 1 | no | — |
| 233 | C3×Q8 | — | 3 | 1 | no | — |
| 234 | C3×Q8 | — | 6 | 1 | no | — |
| 235 | C3×Q8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 236 | C3×D4 | — | 3 | 1 | no | — |
| 237 | C3×D4 | — | 3 | 1 | no | — |
| 238 | C3×D4 | — | 3 | 1 | no | — |
| 239 | C3×D4 | — | 3 | 1 | no | — |
| 240 | C3×D4 | — | 6 | 1 | no | — |
| 241 | C3×D4 | — | 6 | 1 | no | — |
| 242 | C3×D4 | — | 6 | 1 | no | — |
| 243 | C3×D4 | — | 6 | 1 | no | — |
| 244 | C3×D4 | — | 6 | 1 | no | — |
| 245 | C3×D4 | — | 6 | 1 | no | — |
| 246 | C2×C3×C4 | — | 3 | 1 | no | — |
| 247 | C2×C3×C4 | — | 3 | 1 | no | — |
| 248 | C2×C3×C4 | — | 3 | 1 | no | — |
| 249 | C2×C3×C4 | — | 3 | 1 | no | — |
| 250 | C2×C3×C4 | — | 3 | 1 | no | — |
| 251 | C2×C3×C4 | — | 4 | 1 | no | — |
| 252 | C2×C3×C4 | — | 6 | 1 | no | — |
| 253 | C2×C3×C4 | — | 6 | 1 | no | — |
| 254 | C2×C3×C4 | — | 6 | 1 | no | — |
| 255 | C2×C3×C4 | — | 6 | 1 | no | — |
| 256 | C2×C3×C4 | — | 6 | 1 | no | — |
| 257 | C2×C3×C4 | — | 8 | 1 | no | — |
| 258 | C2×C3×C4 | C2×S4 | 1 | 1 | yes | characteristic |
| 259 | C2×Dic3 | — | 4 | 1 | no | — |
| 260 | C2×Dic3 | — | 6 | 2 | no | — |
| 261 | C4×D3 | — | 4 | 1 | no | — |
| 262 | C4×D3 | — | 4 | 1 | no | — |
| 263 | C4×D3 | — | 4 | 1 | no | — |
| 264 | C4×D3 | — | 4 | 1 | no | — |
| 265 | SL(2,𝔽3) | — | 2 | 1 | no | — |
| 266 | SL(2,𝔽3) | C22×Dic3 | 1 | 1 | yes | characteristic |
| 267 | C3×C8 | — | 3 | 1 | no | — |
| 268 | C3×C8 | — | 3 | 1 | no | — |
| 269 | C3×C8 | — | 3 | 1 | no | — |
| 270 | C3×C8 | — | 3 | 1 | no | — |
| 271 | C3×C8 | — | 12 | 2 | no | — |
| 272 | C3⋊C8 | — | 3 | 2 | no | — |
| 273 | C3⋊C8 | — | 6 | 2 | no | — |
| 274 | C3⋊C8 | — | 12 | 2 | no | — |
| 275 | C3⋊C8 | — | 24 | 2 | no | — |
| 276 | C3⋊C8 | C2×S4 | 1 | 2 | yes | — |
| 277 | C2×C32 | — | 4 | 1 | no | — |
| 278 | C2×C32 | — | 8 | 1 | no | — |
| 279 | C3×D3 | — | 4 | 2 | no | — |
| 280 | C3×D3 | — | 8 | 1 | no | — |
| 281 | #41 | — | 3 | 1 | no | — |
| 282 | #41 | — | 3 | 1 | no | — |
| 283 | #41 | — | 3 | 1 | no | — |
| 284 | #41 | — | 3 | 1 | no | — |
| 285 | #41 | — | 3 | 1 | no | — |
| 286 | #41 | — | 3 | 1 | no | — |
| 287 | #41 | — | 6 | 1 | no | — |
| 288 | #41 | — | 6 | 1 | no | — |
| 289 | #41 | D3×Dic3 | 1 | 1 | yes | characteristic |
| 290 | #41 | C2×D32 | 1 | 1 | yes | characteristic |
| 291 | C2×Q8 | — | 3 | 1 | no | — |
| 292 | C2×Q8 | D3×Dic3 | 1 | 1 | yes | characteristic |
| 293 | C2×D4 | — | 3 | 1 | no | — |
| 294 | C2×D4 | — | 3 | 1 | no | — |
| 295 | C2×D4 | — | 6 | 1 | no | — |
| 296 | C22×C4 | — | 3 | 1 | no | — |
| 297 | C22×C4 | — | 6 | 1 | no | — |
| 298 | Q16 | — | 3 | 1 | no | — |
| 299 | Q16 | — | 3 | 1 | no | — |
| 300 | Q16 | — | 3 | 1 | no | — |
| 301 | Q16 | — | 3 | 1 | no | — |
| 302 | SD16 | — | 3 | 1 | no | — |
| 303 | SD16 | — | 3 | 1 | no | — |
| 304 | SD16 | — | 3 | 1 | no | — |
| 305 | SD16 | — | 3 | 1 | no | — |
| 306 | SD16 | — | 3 | 1 | no | — |
| 307 | SD16 | — | 3 | 1 | no | — |
| 308 | SD16 | — | 3 | 1 | no | — |
| 309 | SD16 | — | 3 | 1 | no | — |
| 310 | D8 | — | 3 | 1 | no | — |
| 311 | D8 | — | 3 | 1 | no | — |
| 312 | D8 | — | 3 | 1 | no | — |
| 313 | D8 | — | 3 | 1 | no | — |
| 314 | M16 | — | 3 | 1 | no | — |
| 315 | M16 | — | 9 | 2 | no | — |
| 316 | M16 | — | 9 | 1 | no | — |
| 317 | M16 | — | 9 | 2 | no | — |
| 318 | M16 | — | 9 | 2 | no | — |
| 319 | M16 | — | 18 | 2 | no | — |
| 320 | M16 | — | 18 | 2 | no | — |
| 321 | M16 | — | 18 | 1 | no | — |
| 322 | C2×C8 | — | 3 | 1 | no | — |
| 323 | C2×C8 | — | 3 | 1 | no | — |
| 324 | C2×C8 | — | 3 | 1 | no | — |
| 325 | C2×C8 | — | 3 | 1 | no | — |
| 326 | C2×C8 | — | 3 | 1 | no | — |
| 327 | C2×C8 | — | 3 | 1 | no | — |
| 328 | C2×C8 | — | 9 | 2 | no | — |
| 329 | C2×C8 | — | 18 | 2 | no | — |
| 330 | C2×C8 | — | 18 | 1 | no | — |
| 331 | C2×C8 | — | 18 | 2 | no | — |
| 332 | C2×C8 | — | 18 | 1 | no | — |
| 333 | C4⋊C4 | — | 18 | 1 | no | — |
| 334 | C22⋊C4 | — | 18 | 1 | no | — |
| 335 | C42 | — | 9 | 2 | no | — |
| 336 | C22×C3 | — | 3 | 1 | no | — |
| 337 | C22×C3 | — | 3 | 1 | no | — |
| 338 | C22×C3 | — | 4 | 1 | no | — |
| 339 | C22×C3 | — | 6 | 1 | no | — |
| 340 | C22×C3 | — | 6 | 1 | no | — |
| 341 | C22×C3 | — | 8 | 1 | no | — |
| 342 | C22×C3 | — | 12 | 1 | no | — |
| 343 | C22×C3 | — | 24 | 1 | no | — |
| 344 | C22×C3 | C4×S4 | 1 | 1 | yes | characteristic |
| 345 | C2×D3 | — | 4 | 1 | no | — |
| 346 | C2×D3 | — | 4 | 1 | no | — |
| 347 | C2×D3 | — | 8 | 2 | no | — |
| 348 | C3×C4 | — | 3 | 1 | no | — |
| 349 | C3×C4 | — | 3 | 1 | no | — |
| 350 | C3×C4 | — | 4 | 1 | no | — |
| 351 | C3×C4 | — | 4 | 1 | no | — |
| 352 | C3×C4 | — | 6 | 1 | no | — |
| 353 | C3×C4 | — | 6 | 1 | no | — |
| 354 | C3×C4 | — | 8 | 1 | no | — |
| 355 | C3×C4 | — | 8 | 1 | no | — |
| 356 | C3×C4 | C4×S4 | 1 | 1 | yes | characteristic |
| 357 | C3×C4 | C22×S4 | 1 | 1 | yes | characteristic |
| 358 | Dic3 | — | 4 | 1 | no | — |
| 359 | Dic3 | — | 4 | 1 | no | — |
| 360 | Dic3 | — | 12 | 2 | no | — |
| 361 | C32 | — | 4 | 1 | no | Sylow |
| 362 | C23 | — | 3 | 1 | no | — |
| 363 | C23 | — | 6 | 1 | no | — |
| 364 | Q8 | — | 3 | 1 | no | — |
| 365 | Q8 | — | 3 | 1 | no | — |
| 366 | Q8 | — | 3 | 1 | no | — |
| 367 | Q8 | — | 6 | 1 | no | — |
| 368 | Q8 | C2×D3×Dic3 | 1 | 1 | yes | characteristic |
| 369 | D4 | — | 3 | 1 | no | — |
| 370 | D4 | — | 3 | 1 | no | — |
| 371 | D4 | — | 3 | 1 | no | — |
| 372 | D4 | — | 3 | 1 | no | — |
| 373 | D4 | — | 6 | 1 | no | — |
| 374 | D4 | — | 6 | 1 | no | — |
| 375 | D4 | — | 6 | 1 | no | — |
| 376 | D4 | — | 6 | 1 | no | — |
| 377 | D4 | — | 6 | 1 | no | — |
| 378 | D4 | — | 6 | 1 | no | — |
| 379 | C2×C4 | — | 3 | 1 | no | — |
| 380 | C2×C4 | — | 3 | 1 | no | — |
| 381 | C2×C4 | — | 3 | 1 | no | — |
| 382 | C2×C4 | — | 3 | 1 | no | — |
| 383 | C2×C4 | — | 3 | 1 | no | — |
| 384 | C2×C4 | — | 6 | 1 | no | — |
| 385 | C2×C4 | — | 6 | 1 | no | — |
| 386 | C2×C4 | — | 6 | 1 | no | — |
| 387 | C2×C4 | — | 6 | 1 | no | — |
| 388 | C2×C4 | — | 6 | 1 | no | — |
| 389 | C2×C4 | — | 18 | 2 | no | — |
| 390 | C2×C4 | D3×S4 | 1 | 1 | yes | characteristic |
| 391 | C8 | — | 3 | 1 | no | — |
| 392 | C8 | — | 3 | 1 | no | — |
| 393 | C8 | — | 3 | 1 | no | — |
| 394 | C8 | — | 3 | 1 | no | — |
| 395 | C8 | — | 3 | 2 | no | — |
| 396 | C8 | — | 9 | 2 | no | — |
| 397 | C8 | — | 18 | 2 | no | — |
| 398 | C2×C3 | — | 2 | 1 | no | — |
| 399 | C2×C3 | — | 4 | 1 | no | — |
| 400 | C2×C3 | — | 6 | 1 | no | — |
| 401 | C2×C3 | — | 6 | 1 | no | — |
| 402 | C2×C3 | — | 8 | 1 | no | — |
| 403 | C2×C3 | — | 8 | 1 | no | — |
| 404 | C2×C3 | — | 12 | 1 | no | — |
| 405 | C2×C3 | — | 12 | 1 | no | — |
| 406 | C2×C3 | — | 16 | 1 | no | — |
| 407 | C2×C3 | C2×C4×S4 | 1 | 1 | yes | characteristic |
| 408 | D3 | — | 4 | 2 | no | — |
| 409 | D3 | — | 8 | 1 | no | — |
| 410 | C22 | — | 3 | 1 | no | — |
| 411 | C22 | — | 3 | 1 | no | — |
| 412 | C22 | — | 6 | 1 | no | — |
| 413 | C22 | — | 6 | 1 | no | — |
| 414 | C22 | — | 12 | 1 | no | — |
| 415 | C22 | — | 24 | 1 | no | — |
| 416 | C22 | Dic3×S4 | 1 | 1 | yes | characteristic |
| 417 | C4 | — | 3 | 1 | no | — |
| 418 | C4 | — | 3 | 1 | no | — |
| 419 | C4 | — | 6 | 1 | no | — |
| 420 | C4 | — | 6 | 1 | no | — |
| 421 | C4 | — | 36 | 2 | no | — |
| 422 | C4 | Dic3×S4 | 1 | 1 | yes | characteristic |
| 423 | C4 | C2×D3×S4 | 1 | 1 | yes | characteristic |
| 424 | C3 | — | 4 | 1 | no | — |
| 425 | C3 | — | 8 | 1 | no | — |
| 426 | C3 | #85452 | 1 | 1 | yes | characteristic, complemented |
| 427 | C2 | — | 2 | 1 | no | — |
| 428 | C2 | — | 6 | 1 | no | — |
| 429 | C2 | — | 6 | 1 | no | — |
| 430 | C2 | — | 12 | 1 | no | — |
| 431 | C2 | — | 12 | 1 | no | — |
| 432 | C2 | C2×Dic3×S4 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #5819⋊C3 | C2 | semidirect |
| 3. #10593657 | C2 | semidirect |
| 4. #10593221 | C2 | semidirect |
| 5. #10593219 | C2 | semidirect |
| 9. C3×#985 | C4 | semidirect |
| 10. C3×#985 | C4 | semidirect |
| 13. C2×C3×GL(2,𝔽3) | C4 | semidirect |
| 14. C2×C3×#226 | C4 | semidirect |
| 16. C3⋊(#131⋊C3) | C22 | semidirect |
| 17. C3⋊GU(2,𝔽3) | C22 | semidirect |
| 21. #5819 | D3 | semidirect |
| 52. #985 | Dic3 | semidirect |
| 53. #985 | Dic3 | semidirect |
| 56. C2×GL(2,𝔽3) | Dic3 | semidirect |
| 57. C2×#226 | Dic3 | semidirect |
| 75. #948 | C2×D3 | semidirect |
| 426. C3 | #85452 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×#985 | 2 |
| #5819⋊C3 | 2 |
| #10593657 | 2 |
| #10593221 | 2 |
| #10593219 | 2 |
| #85452 | 3 |
| #83910 | 3 |
| D3×#208 | 4 |