Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1360 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 1360 conjugacy classes of subgroups — too many to draw. Only its 189 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 | #10596692 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10596650 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10595442 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10593319 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #10593318 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #10593317 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | C2×#63729 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #41×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 9 | C3×#1009 | — | 2 | 1 | no | — |
| 10 | #64320 | C4 | 1 | 2 | yes | complemented |
| 11 | #64319 | — | 2 | 1 | no | — |
| 12 | #64313 | C4 | 1 | 6 | yes | complemented |
| 13 | D32×D4 | — | 2 | 3 | no | — |
| 14 | #64307 | — | 2 | 3 | no | — |
| 15 | #64306 | C22 | 1 | 3 | yes | — |
| 16 | C2×#3802 | C22 | 1 | 3 | yes | — |
| 17 | Q8×#157 | — | 2 | 1 | no | — |
| 18 | D4×#157 | — | 2 | 3 | no | — |
| 19 | #64286 | C22 | 1 | 3 | yes | complemented |
| 20 | C2×C4⋊#157 | C22 | 1 | 3 | yes | complemented |
| 21 | C3×#948 | — | 2 | 1 | no | — |
| 22 | #63818 | C22 | 1 | 3 | yes | complemented |
| 23 | #63817 | — | 2 | 3 | no | — |
| 24 | C2×#3710 | C22 | 1 | 3 | yes | complemented |
| 25 | #63730 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #63730 | C22 | 1 | 3 | yes | complemented |
| 27 | #63729 | C22 | 1 | 3 | yes | complemented |
| 28 | #63729 | C22 | 1 | 6 | yes | complemented |
| 29 | #63729 | C22 | 1 | 3 | yes | complemented |
| 30 | D3×H(5,𝔽2) | — | 6 | 1 | no | — |
| 31 | D3×#131 | — | 6 | 1 | no | — |
| 32 | C22×D32 | — | 2 | 3 | no | — |
| 33 | C22×#157 | — | 2 | 3 | no | — |
| 34 | C32×#41 | D4 | 1 | 1 | yes | characteristic |
| 35 | #3832 | C2×C4 | 1 | 1 | yes | characteristic |
| 36 | Q8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 37 | #3830 | C2×C4 | 1 | 3 | yes | — |
| 38 | D4×C3⋊D3 | D4 | 1 | 3 | yes | — |
| 39 | #3828 | D4 | 1 | 3 | yes | — |
| 40 | C2×C4×C3⋊D3 | C23 | 1 | 3 | yes | — |
| 41 | C3×#239 | — | 2 | 2 | no | — |
| 42 | C3×D3×D4 | — | 2 | 6 | no | — |
| 43 | C3×#235 | — | 2 | 3 | no | — |
| 44 | C2×C3×D12 | — | 2 | 3 | no | — |
| 45 | #3811 | — | 2 | 3 | no | — |
| 46 | D3×#67 | — | 2 | 12 | no | — |
| 47 | C2×#625 | C2×C4 | 1 | 6 | yes | complemented |
| 48 | #3805 | C2×C4 | 1 | 6 | yes | complemented |
| 49 | #3802 | — | 2 | 3 | no | — |
| 50 | #3802 | — | 2 | 3 | no | — |
| 51 | #3802 | C2×C4 | 1 | 6 | yes | complemented |
| 52 | #3802 | C23 | 1 | 3 | yes | — |
| 53 | D3×D12 | — | 2 | 6 | no | — |
| 54 | C4×D32 | — | 2 | 3 | no | — |
| 55 | #3798 | C2×C4 | 1 | 6 | yes | complemented |
| 56 | #3797 | C23 | 1 | 1 | yes | characteristic |
| 57 | #3796 | — | 2 | 3 | no | — |
| 58 | #3795 | — | 2 | 6 | no | — |
| 59 | C22⋊#157 | — | 2 | 3 | no | — |
| 60 | C4⋊#157 | — | 2 | 3 | no | — |
| 61 | C4⋊#157 | C23 | 1 | 3 | yes | — |
| 62 | C4⋊#157 | C23 | 1 | 1 | yes | characteristic |
| 63 | C4×#157 | — | 2 | 3 | no | — |
| 64 | C3×#208 | — | 2 | 3 | no | — |
| 65 | C2×C3×C3⋊C8 | — | 2 | 3 | no | — |
| 66 | #3712 | — | 2 | 3 | no | — |
| 67 | #3710 | — | 2 | 3 | no | — |
| 68 | #3710 | C23 | 1 | 1 | yes | characteristic |
| 69 | #3710 | C23 | 1 | 3 | yes | — |
| 70 | #2897 | — | 9 | 1 | no | maximal, Sylow |
| 71 | C3×H(5,𝔽2) | — | 6 | 1 | no | — |
| 72 | #1009 | — | 2 | 1 | no | — |
| 73 | #1009 | — | 6 | 2 | no | — |
| 74 | #1009 | — | 6 | 3 | no | — |
| 75 | D3×#41 | — | 6 | 3 | no | — |
| 76 | D3×#41 | — | 6 | 1 | no | — |
| 77 | D3×#41 | — | 6 | 1 | no | — |
| 78 | D3×#41 | — | 6 | 2 | no | — |
| 79 | #1004 | — | 6 | 6 | no | — |
| 80 | #1004 | — | 6 | 3 | no | — |
| 81 | C2×D3×D4 | — | 6 | 3 | no | — |
| 82 | C2×D3×D4 | — | 6 | 6 | no | — |
| 83 | C3×#131 | — | 6 | 1 | no | — |
| 84 | #948 | — | 2 | 1 | no | — |
| 85 | #907 | — | 6 | 3 | no | — |
| 86 | D3×M16 | — | 6 | 3 | no | — |
| 87 | #901 | — | 6 | 3 | no | — |
| 88 | C2×D3×C8 | — | 6 | 3 | no | — |
| 89 | C22×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 90 | C22×C3×D3 | — | 2 | 6 | no | — |
| 91 | C2×D32 | — | 2 | 3 | no | — |
| 92 | C2×D32 | — | 2 | 6 | no | — |
| 93 | C2×D32 | — | 8 | 3 | no | — |
| 94 | C2×D32 | — | 8 | 3 | no | — |
| 95 | C2×#157 | — | 2 | 3 | no | — |
| 96 | C2×#157 | — | 2 | 1 | no | — |
| 97 | C2×#157 | — | 8 | 3 | no | — |
| 98 | C32×Q8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 99 | C32×D4 | C22⋊C4 | 1 | 3 | yes | — |
| 100 | C2×C32×C4 | C2×D4 | 1 | 3 | yes | — |
| 101 | #638 | C22⋊C4 | 1 | 6 | yes | — |
| 102 | C2×C3⋊Dic3 | C22×C4 | 1 | 3 | yes | — |
| 103 | C4⋊(C3⋊D3) | C22⋊C4 | 1 | 3 | yes | — |
| 104 | C4×C3⋊D3 | C22×C4 | 1 | 3 | yes | — |
| 105 | C4×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 106 | C4×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 107 | C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 108 | #634 | C22⋊C4 | 1 | 3 | yes | — |
| 109 | C3×#67 | — | 2 | 6 | no | — |
| 110 | C3×D12 | — | 2 | 6 | no | — |
| 111 | C3×D12 | — | 2 | 3 | no | — |
| 112 | C3×C4×D3 | — | 2 | 6 | no | — |
| 113 | C3×Dic6 | — | 2 | 1 | no | — |
| 114 | #627 | C22×C4 | 1 | 2 | yes | — |
| 115 | #626 | — | 2 | 6 | no | — |
| 116 | #625 | — | 2 | 6 | no | — |
| 117 | #625 | C22×C4 | 1 | 6 | yes | — |
| 118 | #624 | — | 2 | 1 | no | — |
| 119 | D3×Dic3 | — | 2 | 6 | no | — |
| 120 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 121 | C3×C3⋊C8 | — | 2 | 3 | no | — |
| 122 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 123 | C2×#131 | — | 9 | 1 | no | — |
| 124 | #520 | — | 9 | 1 | no | — |
| 125 | #418 | — | 9 | 3 | no | — |
| 126 | #417 | — | 9 | 3 | no | — |
| 127 | #416 | — | 9 | 3 | no | — |
| 128 | C2×#102 | — | 9 | 3 | no | — |
| 129 | C23×D3 | — | 6 | 6 | no | — |
| 130 | C3×#41 | — | 2 | 1 | no | — |
| 131 | C3×#41 | — | 2 | 1 | no | — |
| 132 | C3×#41 | — | 6 | 3 | no | — |
| 133 | C3×#41 | — | 6 | 2 | no | — |
| 134 | C2×C3×D4 | — | 6 | 3 | no | — |
| 135 | C2×C3×D4 | — | 6 | 6 | no | — |
| 136 | C2×#67 | — | 6 | 6 | no | — |
| 137 | C2×#67 | — | 6 | 12 | no | — |
| 138 | #239 | — | 2 | 2 | no | — |
| 139 | #239 | — | 6 | 1 | no | — |
| 140 | #239 | — | 6 | 1 | no | — |
| 141 | #239 | — | 6 | 3 | no | — |
| 142 | D3×Q8 | — | 6 | 1 | no | — |
| 143 | D3×Q8 | — | 6 | 1 | no | — |
| 144 | D3×Q8 | — | 6 | 1 | no | — |
| 145 | #237 | — | 6 | 6 | no | — |
| 146 | #237 | — | 6 | 3 | no | — |
| 147 | #237 | — | 6 | 3 | no | — |
| 148 | #237 | — | 6 | 3 | no | — |
| 149 | #237 | — | 6 | 6 | no | — |
| 150 | D3×D4 | — | 2 | 6 | no | — |
| 151 | D3×D4 | — | 6 | 6 | no | — |
| 152 | D3×D4 | — | 6 | 3 | no | — |
| 153 | D3×D4 | — | 6 | 3 | no | — |
| 154 | D3×D4 | — | 6 | 3 | no | — |
| 155 | D3×D4 | — | 6 | 6 | no | — |
| 156 | D3×D4 | — | 6 | 6 | no | — |
| 157 | D3×D4 | — | 6 | 6 | no | — |
| 158 | D3×D4 | — | 6 | 6 | no | — |
| 159 | D3×D4 | — | 6 | 12 | no | — |
| 160 | #235 | — | 2 | 3 | no | — |
| 161 | #235 | — | 6 | 6 | no | — |
| 162 | #235 | — | 6 | 3 | no | — |
| 163 | #235 | — | 6 | 3 | no | — |
| 164 | #235 | — | 6 | 6 | no | — |
| 165 | C2×D12 | — | 2 | 3 | no | — |
| 166 | C2×D12 | — | 6 | 6 | no | — |
| 167 | C2×C4×D3 | — | 6 | 3 | no | — |
| 168 | C2×C4×D3 | — | 6 | 3 | no | — |
| 169 | C2×C4×D3 | — | 6 | 6 | no | — |
| 170 | C3×M16 | — | 6 | 3 | no | — |
| 171 | C2×C3×C8 | — | 6 | 3 | no | — |
| 172 | #208 | — | 2 | 3 | no | — |
| 173 | C2×C3⋊C8 | — | 2 | 3 | no | — |
| 174 | ΓL(1,𝔽25) | — | 6 | 6 | no | — |
| 175 | D3×C8 | — | 6 | 1 | no | — |
| 176 | D3×C8 | — | 6 | 3 | no | — |
| 177 | D3×C8 | — | 6 | 3 | no | — |
| 178 | D3×C8 | — | 6 | 3 | no | — |
| 179 | C22×C32 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 180 | C2×C3⋊D3 | — | 2 | 3 | no | — |
| 181 | C2×C3⋊D3 | — | 2 | 3 | no | — |
| 182 | C2×C3⋊D3 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 183 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 184 | C2×C3×D3 | — | 2 | 6 | no | — |
| 185 | C2×C3×D3 | — | 8 | 6 | no | — |
| 186 | D32 | — | 4 | 3 | no | — |
| 187 | D32 | — | 4 | 3 | no | — |
| 188 | D32 | — | 8 | 6 | no | — |
| 189 | #157 | — | 4 | 3 | no | — |
| 190 | #157 | — | 4 | 1 | no | — |
| 191 | C32×C4 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 192 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 193 | C3⋊Dic3 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 194 | C3⋊Dic3 | C23×C4 | 1 | 1 | yes | characteristic |
| 195 | C3×Dic3 | — | 2 | 2 | no | — |
| 196 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 197 | H(5,𝔽2) | — | 9 | 6 | no | — |
| 198 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 199 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 200 | C2×#41 | — | 9 | 1 | no | — |
| 201 | C2×#41 | — | 9 | 3 | no | — |
| 202 | C2×#41 | — | 18 | 1 | no | — |
| 203 | C22×D4 | — | 9 | 3 | no | — |
| 204 | C22×D4 | — | 18 | 3 | no | — |
| 205 | #131 | — | 6 | 1 | no | — |
| 206 | #131 | — | 18 | 3 | no | — |
| 207 | C2×M16 | — | 9 | 3 | no | — |
| 208 | C22×C8 | — | 9 | 3 | no | — |
| 209 | C4×Q8 | — | 18 | 1 | no | — |
| 210 | C4×D4 | — | 18 | 3 | no | — |
| 211 | #117 | — | 9 | 3 | no | — |
| 212 | C2×C4⋊C4 | — | 9 | 3 | no | — |
| 213 | #103 | — | 9 | 1 | no | — |
| 214 | #103 | — | 9 | 3 | no | — |
| 215 | #102 | — | 9 | 3 | no | — |
| 216 | #102 | — | 9 | 6 | no | — |
| 217 | #102 | — | 9 | 3 | no | — |
| 218 | C23×C3 | — | 6 | 6 | no | — |
| 219 | C22×D3 | — | 2 | 6 | no | — |
| 220 | C22×D3 | — | 6 | 3 | no | — |
| 221 | C22×D3 | — | 6 | 3 | no | — |
| 222 | C22×D3 | — | 6 | 6 | no | — |
| 223 | C22×D3 | — | 6 | 12 | no | — |
| 224 | C22×D3 | — | 24 | 6 | no | — |
| 225 | C22×D3 | — | 24 | 6 | no | — |
| 226 | C3×Q8 | — | 2 | 1 | no | — |
| 227 | C3×Q8 | — | 2 | 1 | no | — |
| 228 | C3×Q8 | — | 6 | 1 | no | — |
| 229 | C3×D4 | — | 2 | 3 | no | — |
| 230 | C3×D4 | — | 2 | 3 | no | — |
| 231 | C3×D4 | — | 6 | 3 | no | — |
| 232 | C3×D4 | — | 6 | 6 | no | — |
| 233 | C3×D4 | — | 6 | 6 | no | — |
| 234 | C2×C3×C4 | — | 2 | 3 | no | — |
| 235 | C2×C3×C4 | — | 2 | 3 | no | — |
| 236 | C2×C3×C4 | — | 6 | 6 | no | — |
| 237 | #67 | — | 2 | 6 | no | — |
| 238 | #67 | — | 6 | 6 | no | — |
| 239 | #67 | — | 6 | 6 | no | — |
| 240 | #67 | — | 6 | 6 | no | — |
| 241 | #67 | — | 6 | 6 | no | — |
| 242 | #67 | — | 6 | 12 | no | — |
| 243 | C2×Dic3 | — | 6 | 3 | no | — |
| 244 | C2×Dic3 | — | 6 | 3 | no | — |
| 245 | C2×Dic3 | — | 6 | 6 | no | — |
| 246 | D12 | — | 2 | 3 | no | — |
| 247 | D12 | — | 2 | 6 | no | — |
| 248 | D12 | — | 6 | 3 | no | — |
| 249 | D12 | — | 6 | 3 | no | — |
| 250 | D12 | — | 6 | 6 | no | — |
| 251 | C4×D3 | — | 2 | 6 | no | — |
| 252 | C4×D3 | — | 6 | 3 | no | — |
| 253 | C4×D3 | — | 6 | 3 | no | — |
| 254 | C4×D3 | — | 6 | 3 | no | — |
| 255 | C4×D3 | — | 6 | 3 | no | — |
| 256 | C4×D3 | — | 6 | 3 | no | — |
| 257 | C4×D3 | — | 6 | 3 | no | — |
| 258 | C4×D3 | — | 6 | 1 | no | — |
| 259 | C4×D3 | — | 6 | 1 | no | — |
| 260 | C4×D3 | — | 6 | 2 | no | — |
| 261 | C4×D3 | — | 6 | 6 | no | — |
| 262 | Dic6 | — | 2 | 1 | no | — |
| 263 | Dic6 | — | 6 | 2 | no | — |
| 264 | Dic6 | — | 6 | 3 | no | — |
| 265 | Dic6 | — | 6 | 3 | no | — |
| 266 | C3×C8 | — | 6 | 1 | no | — |
| 267 | C3×C8 | — | 6 | 3 | no | — |
| 268 | C3⋊C8 | — | 2 | 1 | no | — |
| 269 | C3⋊C8 | — | 2 | 3 | no | — |
| 270 | C2×C32 | — | 2 | 3 | no | — |
| 271 | C2×C32 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 272 | C3⋊D3 | — | 2 | 3 | no | — |
| 273 | C3⋊D3 | #576 | 1 | 1 | yes | characteristic |
| 274 | C3⋊D3 | #577 | 1 | 1 | yes | characteristic |
| 275 | C3×D3 | — | 4 | 6 | no | — |
| 276 | C24 | — | 18 | 3 | no | — |
| 277 | #41 | — | 6 | 2 | no | — |
| 278 | #41 | — | 6 | 3 | no | — |
| 279 | #41 | — | 9 | 6 | no | — |
| 280 | #41 | — | 9 | 1 | no | — |
| 281 | #41 | — | 9 | 3 | no | — |
| 282 | #41 | — | 9 | 3 | no | — |
| 283 | #41 | — | 9 | 6 | no | — |
| 284 | #41 | — | 18 | 6 | no | — |
| 285 | #41 | — | 18 | 3 | no | — |
| 286 | #41 | GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 287 | C2×Q8 | — | 9 | 1 | no | — |
| 288 | C2×Q8 | — | 9 | 1 | no | — |
| 289 | C2×D4 | — | 6 | 6 | no | — |
| 290 | C2×D4 | — | 6 | 3 | no | — |
| 291 | C2×D4 | — | 9 | 3 | no | — |
| 292 | C2×D4 | — | 9 | 6 | no | — |
| 293 | C2×D4 | — | 9 | 3 | no | — |
| 294 | C2×D4 | — | 9 | 6 | no | — |
| 295 | C2×D4 | — | 18 | 6 | no | — |
| 296 | C2×D4 | — | 18 | 3 | no | — |
| 297 | C2×D4 | — | 18 | 3 | no | — |
| 298 | C2×D4 | — | 18 | 3 | no | — |
| 299 | C2×D4 | — | 18 | 12 | no | — |
| 300 | C22×C4 | — | 9 | 3 | no | — |
| 301 | C22×C4 | — | 18 | 3 | no | — |
| 302 | C22×C4 | — | 18 | 3 | no | — |
| 303 | M16 | — | 6 | 3 | no | — |
| 304 | M16 | — | 18 | 3 | no | — |
| 305 | C2×C8 | — | 6 | 3 | no | — |
| 306 | C2×C8 | — | 9 | 1 | no | — |
| 307 | C2×C8 | — | 9 | 3 | no | — |
| 308 | C2×C8 | — | 18 | 3 | no | — |
| 309 | C4⋊C4 | — | 9 | 3 | no | — |
| 310 | C4⋊C4 | — | 9 | 1 | no | — |
| 311 | C4⋊C4 | — | 18 | 3 | no | — |
| 312 | C22⋊C4 | — | 18 | 3 | no | — |
| 313 | C42 | — | 18 | 3 | no | — |
| 314 | C22×C3 | — | 2 | 3 | no | — |
| 315 | C22×C3 | — | 2 | 3 | no | — |
| 316 | C22×C3 | — | 6 | 6 | no | — |
| 317 | C22×C3 | — | 24 | 6 | no | — |
| 318 | C2×D3 | — | 2 | 6 | no | — |
| 319 | C2×D3 | — | 6 | 1 | no | — |
| 320 | C2×D3 | — | 6 | 1 | no | — |
| 321 | C2×D3 | — | 6 | 3 | no | — |
| 322 | C2×D3 | — | 6 | 3 | no | — |
| 323 | C2×D3 | — | 8 | 6 | no | — |
| 324 | C2×D3 | — | 12 | 3 | no | — |
| 325 | C2×D3 | — | 12 | 3 | no | — |
| 326 | C2×D3 | — | 12 | 3 | no | — |
| 327 | C2×D3 | — | 12 | 3 | no | — |
| 328 | C2×D3 | — | 12 | 6 | no | — |
| 329 | C2×D3 | — | 12 | 6 | no | — |
| 330 | C2×D3 | — | 24 | 12 | no | — |
| 331 | C3×C4 | — | 2 | 1 | no | — |
| 332 | C3×C4 | — | 2 | 1 | no | — |
| 333 | C3×C4 | — | 2 | 3 | no | — |
| 334 | C3×C4 | — | 2 | 3 | no | — |
| 335 | C3×C4 | — | 6 | 2 | no | — |
| 336 | Dic3 | — | 2 | 2 | no | — |
| 337 | Dic3 | — | 6 | 3 | no | — |
| 338 | Dic3 | — | 6 | 1 | no | — |
| 339 | Dic3 | — | 6 | 3 | no | — |
| 340 | Dic3 | — | 6 | 1 | no | — |
| 341 | C32 | #2897 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 342 | C23 | — | 6 | 6 | no | — |
| 343 | C23 | — | 9 | 3 | no | — |
| 344 | C23 | — | 18 | 3 | no | — |
| 345 | C23 | — | 18 | 6 | no | — |
| 346 | C23 | — | 72 | 3 | no | — |
| 347 | C23 | — | 72 | 3 | no | — |
| 348 | Q8 | — | 6 | 1 | no | — |
| 349 | Q8 | — | 9 | 2 | no | — |
| 350 | Q8 | — | 9 | 3 | no | — |
| 351 | Q8 | D32⋊C4 | 1 | 1 | yes | characteristic |
| 352 | D4 | — | 6 | 6 | no | — |
| 353 | D4 | — | 6 | 3 | no | — |
| 354 | D4 | — | 6 | 6 | no | — |
| 355 | D4 | — | 9 | 6 | no | — |
| 356 | D4 | — | 9 | 6 | no | — |
| 357 | D4 | — | 9 | 3 | no | — |
| 358 | D4 | — | 18 | 6 | no | — |
| 359 | D4 | — | 18 | 6 | no | — |
| 360 | D4 | D32⋊C4 | 1 | 3 | yes | — |
| 361 | C2×C4 | — | 6 | 6 | no | — |
| 362 | C2×C4 | — | 9 | 3 | no | — |
| 363 | C2×C4 | — | 9 | 1 | no | — |
| 364 | C2×C4 | — | 9 | 3 | no | — |
| 365 | C2×C4 | — | 9 | 3 | no | — |
| 366 | C2×C4 | — | 9 | 3 | no | — |
| 367 | C2×C4 | — | 18 | 1 | no | — |
| 368 | C2×C4 | — | 18 | 6 | no | — |
| 369 | C2×C4 | — | 18 | 1 | no | — |
| 370 | C2×C4 | — | 18 | 3 | no | — |
| 371 | C2×C4 | — | 72 | 3 | no | — |
| 372 | C2×C4 | C2×GO+(4,𝔽2) | 1 | 3 | yes | — |
| 373 | C8 | — | 6 | 1 | no | — |
| 374 | C8 | — | 6 | 3 | no | — |
| 375 | C2×C3 | — | 2 | 1 | no | — |
| 376 | C2×C3 | — | 2 | 1 | no | — |
| 377 | C2×C3 | — | 4 | 3 | no | — |
| 378 | C2×C3 | — | 4 | 3 | no | — |
| 379 | C2×C3 | — | 12 | 6 | no | — |
| 380 | D3 | — | 4 | 6 | no | — |
| 381 | D3 | — | 6 | 1 | no | — |
| 382 | D3 | — | 6 | 1 | no | — |
| 383 | D3 | — | 6 | 1 | no | — |
| 384 | D3 | — | 6 | 1 | no | — |
| 385 | D3 | — | 12 | 3 | no | — |
| 386 | D3 | — | 12 | 3 | no | — |
| 387 | C22 | — | 6 | 6 | no | — |
| 388 | C22 | — | 9 | 1 | no | — |
| 389 | C22 | — | 9 | 3 | no | — |
| 390 | C22 | — | 18 | 3 | no | — |
| 391 | C22 | — | 18 | 3 | no | — |
| 392 | C22 | — | 24 | 6 | no | — |
| 393 | C22 | — | 36 | 3 | no | — |
| 394 | C22 | — | 36 | 3 | no | — |
| 395 | C22 | — | 72 | 6 | no | — |
| 396 | C22 | C2×D32⋊C4 | 1 | 3 | yes | — |
| 397 | C4 | — | 6 | 2 | no | — |
| 398 | C4 | — | 9 | 1 | no | — |
| 399 | C4 | — | 9 | 3 | no | — |
| 400 | C4 | — | 36 | 3 | no | — |
| 401 | C4 | — | 36 | 1 | no | — |
| 402 | C4 | C2×D32⋊C4 | 1 | 3 | yes | — |
| 403 | C4 | C22×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 404 | C3 | — | 2 | 1 | no | — |
| 405 | C3 | — | 2 | 1 | no | — |
| 406 | C2 | — | 2 | 3 | no | — |
| 407 | C2 | — | 9 | 1 | no | — |
| 408 | C2 | — | 9 | 1 | no | — |
| 409 | C2 | — | 12 | 6 | no | — |
| 410 | C2 | — | 18 | 3 | no | — |
| 411 | C2 | C22×D32⋊C4 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #10596650 | C2 | semidirect |
| 3. #10595442 | C2 | semidirect |
| 4. #10593319 | C2 | semidirect |
| 5. #10593318 | C2 | semidirect |
| 6. #10593317 | C2 | semidirect |
| 7. C2×#63729 | C2 | semidirect |
| 10. #64320 | C4 | semidirect |
| 12. #64313 | C4 | semidirect |
| 19. #64286 | C22 | semidirect |
| 20. C2×C4⋊#157 | C22 | semidirect |
| 22. #63818 | C22 | semidirect |
| 24. C2×#3710 | C22 | semidirect |
| 25. #63730 | C22 | semidirect |
| 26. #63730 | C22 | semidirect |
| 27. #63729 | C22 | semidirect |
| 28. #63729 | C22 | semidirect |
| 29. #63729 | C22 | semidirect |
| 47. C2×#625 | C2×C4 | semidirect |
| 48. #3805 | C2×C4 | semidirect |
| 51. #3802 | C2×C4 | semidirect |
| 55. #3798 | C2×C4 | semidirect |
| 341. C32 | #2897 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596692 | 2 |
| #10596650 | 2 |
| #10595442 | 2 |
| #10593319 | 2 |
| #10593318 | 2 |
| #10593317 | 2 |
| C2×#63729 | 2 |
| #2897 | 9 |