Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1527 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 1527 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 | D9×H(5,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D9×#120 | C2 | 1 | 3 | yes | maximal, complemented |
| 3 | C9×B(4,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10588924 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10588712 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | D9×#99 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #10588421 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | D3×B(4,𝔽2) | — | 3 | 1 | no | maximal |
| 9 | C24×D9 | C22 | 1 | 1 | yes | characteristic, complemented |
| 10 | C9×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic, complemented |
| 11 | #63715 | — | 2 | 3 | no | — |
| 12 | #41×D9 | — | 2 | 3 | no | — |
| 13 | #63710 | — | 2 | 3 | no | — |
| 14 | #63710 | C22 | 1 | 3 | yes | complemented |
| 15 | C2×D4×D9 | — | 2 | 3 | no | — |
| 16 | C2×D4×D9 | — | 2 | 3 | no | — |
| 17 | C2×D4×D9 | C22 | 1 | 3 | yes | — |
| 18 | C9×#120 | C22 | 1 | 3 | yes | complemented |
| 19 | #63515 | C22 | 1 | 3 | yes | complemented |
| 20 | #63499 | — | 2 | 3 | no | — |
| 21 | #63499 | C22 | 1 | 3 | yes | complemented |
| 22 | #63444 | — | 2 | 3 | no | — |
| 23 | #63444 | C22 | 1 | 3 | yes | complemented |
| 24 | C22⋊C4×D9 | — | 2 | 3 | no | — |
| 25 | C22⋊C4×D9 | C22 | 1 | 3 | yes | complemented |
| 26 | C9×#99 | C22 | 1 | 3 | yes | complemented |
| 27 | #63393 | C22 | 1 | 3 | yes | complemented |
| 28 | #63365 | C22 | 1 | 6 | yes | complemented |
| 29 | D3×H(5,𝔽2) | — | 3 | 1 | no | — |
| 30 | D3×#120 | — | 3 | 3 | no | — |
| 31 | C3×B(4,𝔽2) | D3 | 1 | 1 | yes | characteristic |
| 32 | #5244 | — | 3 | 1 | no | — |
| 33 | #5032 | — | 3 | 3 | no | — |
| 34 | D3×#99 | — | 3 | 3 | no | — |
| 35 | #4741 | — | 3 | 3 | no | — |
| 36 | C24×C9 | C23 | 1 | 1 | yes | characteristic, complemented |
| 37 | C23×D9 | — | 2 | 1 | no | — |
| 38 | C23×D9 | — | 2 | 3 | no | — |
| 39 | C23×D9 | — | 2 | 3 | no | — |
| 40 | C23×D9 | — | 4 | 4 | no | — |
| 41 | C23×D9 | D4 | 1 | 3 | yes | complemented |
| 42 | C23×D9 | C23 | 1 | 1 | yes | characteristic |
| 43 | C23×D9 | C23 | 1 | 1 | yes | characteristic, complemented |
| 44 | C9×#41 | — | 2 | 3 | no | — |
| 45 | C2×D4×C9 | — | 2 | 3 | no | — |
| 46 | C2×D4×C9 | — | 2 | 3 | no | — |
| 47 | C2×D4×C9 | C23 | 1 | 3 | yes | — |
| 48 | C2×#611 | — | 2 | 3 | no | — |
| 49 | C2×#611 | — | 2 | 3 | no | — |
| 50 | C2×#611 | — | 2 | 3 | no | — |
| 51 | C2×#611 | — | 2 | 3 | no | — |
| 52 | C2×#611 | D4 | 1 | 3 | yes | complemented |
| 53 | C2×#611 | C23 | 1 | 3 | yes | — |
| 54 | #3701 | — | 2 | 3 | no | — |
| 55 | Q8×D9 | — | 2 | 1 | no | — |
| 56 | #3699 | — | 2 | 3 | no | — |
| 57 | #3699 | — | 2 | 6 | no | — |
| 58 | D4×D9 | — | 2 | 3 | no | — |
| 59 | D4×D9 | — | 2 | 6 | no | — |
| 60 | D4×D9 | — | 2 | 6 | no | — |
| 61 | D4×D9 | — | 2 | 6 | no | — |
| 62 | D4×D9 | — | 2 | 6 | no | — |
| 63 | D4×D9 | — | 4 | 12 | no | — |
| 64 | #3697 | — | 2 | 6 | no | — |
| 65 | #3697 | — | 2 | 3 | no | — |
| 66 | C2×D36 | — | 2 | 3 | no | — |
| 67 | C2×D36 | — | 2 | 3 | no | — |
| 68 | C2×D36 | D4 | 1 | 3 | yes | complemented |
| 69 | C2×C4×D9 | — | 2 | 3 | no | — |
| 70 | C2×C4×D9 | — | 2 | 3 | no | — |
| 71 | C2×C4×D9 | D4 | 1 | 3 | yes | complemented |
| 72 | C9×C22⋊C4 | — | 2 | 3 | no | — |
| 73 | C9×C22⋊C4 | C23 | 1 | 3 | yes | complemented |
| 74 | #3676 | — | 2 | 3 | no | — |
| 75 | #3676 | C23 | 1 | 3 | yes | complemented |
| 76 | (C2×D9)⋊C4 | — | 2 | 3 | no | — |
| 77 | (C2×D9)⋊C4 | — | 2 | 3 | no | — |
| 78 | (C2×D9)⋊C4 | — | 2 | 3 | no | — |
| 79 | C2×B(4,𝔽2) | — | 9 | 1 | no | Sylow |
| 80 | C24×D3 | — | 3 | 1 | no | — |
| 81 | C3×H(5,𝔽2) | C2×D3 | 1 | 1 | yes | characteristic |
| 82 | #1009 | — | 6 | 3 | no | — |
| 83 | D3×#41 | — | 6 | 3 | no | — |
| 84 | #1004 | — | 3 | 3 | no | — |
| 85 | #1004 | — | 6 | 3 | no | — |
| 86 | C2×D3×D4 | — | 3 | 3 | no | — |
| 87 | C2×D3×D4 | — | 6 | 3 | no | — |
| 88 | C2×D3×D4 | — | 6 | 3 | no | — |
| 89 | C3×#120 | C2×D3 | 1 | 3 | yes | — |
| 90 | #953 | — | 3 | 3 | no | — |
| 91 | #937 | — | 3 | 3 | no | — |
| 92 | #937 | — | 6 | 3 | no | — |
| 93 | #882 | — | 3 | 3 | no | — |
| 94 | #882 | — | 6 | 3 | no | — |
| 95 | D3×C22⋊C4 | — | 3 | 3 | no | — |
| 96 | D3×C22⋊C4 | — | 6 | 3 | no | — |
| 97 | C3×#99 | C2×D3 | 1 | 3 | yes | — |
| 98 | #834 | — | 3 | 3 | no | — |
| 99 | #806 | — | 3 | 6 | no | — |
| 100 | C23×C9 | — | 2 | 1 | no | — |
| 101 | C23×C9 | — | 2 | 3 | no | — |
| 102 | C23×C9 | — | 4 | 2 | no | — |
| 103 | C23×C9 | C2×D4 | 1 | 3 | yes | complemented |
| 104 | C23×C9 | C24 | 1 | 1 | yes | characteristic |
| 105 | C22×D9 | — | 2 | 12 | no | — |
| 106 | C22×D9 | — | 2 | 3 | no | — |
| 107 | C22×D9 | — | 2 | 3 | no | — |
| 108 | C22×D9 | — | 2 | 3 | no | — |
| 109 | C22×D9 | — | 2 | 3 | no | — |
| 110 | C22×D9 | — | 4 | 2 | no | — |
| 111 | C22×D9 | — | 4 | 2 | no | — |
| 112 | C22×D9 | — | 4 | 6 | no | — |
| 113 | C22×D9 | — | 4 | 6 | no | — |
| 114 | C22×D9 | — | 4 | 6 | no | — |
| 115 | C22×D9 | — | 4 | 6 | no | — |
| 116 | C22×D9 | — | 4 | 3 | no | — |
| 117 | C22×D9 | — | 4 | 1 | no | — |
| 118 | C22×D9 | — | 8 | 2 | no | — |
| 119 | C22×D9 | C2×D4 | 1 | 3 | yes | — |
| 120 | C22×D9 | C2×D4 | 1 | 3 | yes | — |
| 121 | C22×D9 | C2×D4 | 1 | 3 | yes | complemented |
| 122 | Q8×C9 | — | 2 | 1 | no | — |
| 123 | D4×C9 | — | 2 | 3 | no | — |
| 124 | D4×C9 | — | 2 | 6 | no | — |
| 125 | D4×C9 | — | 4 | 6 | no | — |
| 126 | C2×C4×C9 | — | 2 | 3 | no | — |
| 127 | C2×C4×C9 | — | 2 | 3 | no | — |
| 128 | C2×C4×C9 | C2×D4 | 1 | 3 | yes | complemented |
| 129 | #611 | — | 2 | 6 | no | — |
| 130 | #611 | — | 2 | 6 | no | — |
| 131 | #611 | — | 2 | 6 | no | — |
| 132 | #611 | — | 4 | 6 | no | — |
| 133 | #611 | — | 4 | 6 | no | — |
| 134 | C2×Dic9 | — | 2 | 3 | no | — |
| 135 | C2×Dic9 | — | 2 | 3 | no | — |
| 136 | C2×Dic9 | C2×D4 | 1 | 3 | yes | complemented |
| 137 | D36 | — | 2 | 3 | no | — |
| 138 | D36 | — | 2 | 6 | no | — |
| 139 | D36 | — | 4 | 6 | no | — |
| 140 | C4×D9 | — | 2 | 6 | no | — |
| 141 | C4×D9 | — | 2 | 3 | no | — |
| 142 | C4×D9 | — | 2 | 3 | no | — |
| 143 | C4×D9 | — | 4 | 6 | no | — |
| 144 | Dic18 | — | 2 | 3 | no | — |
| 145 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 146 | C2×#120 | — | 9 | 3 | no | — |
| 147 | B(4,𝔽2) | — | 9 | 1 | no | — |
| 148 | B(4,𝔽2) | — | 9 | 3 | no | — |
| 149 | B(4,𝔽2) | — | 9 | 3 | no | — |
| 150 | B(4,𝔽2) | D9 | 1 | 1 | yes | characteristic, direct product factor |
| 151 | C2×#99 | — | 9 | 3 | no | — |
| 152 | C24×C3 | C22×D3 | 1 | 1 | yes | characteristic |
| 153 | C23×D3 | — | 3 | 1 | no | — |
| 154 | C23×D3 | — | 3 | 3 | no | — |
| 155 | C23×D3 | — | 3 | 1 | no | — |
| 156 | C23×D3 | — | 6 | 3 | no | — |
| 157 | C23×D3 | — | 6 | 3 | no | — |
| 158 | C23×D3 | — | 6 | 1 | no | — |
| 159 | C23×D3 | — | 12 | 4 | no | — |
| 160 | C3×#41 | — | 2 | 3 | no | — |
| 161 | C2×C3×D4 | — | 2 | 3 | no | — |
| 162 | C2×C3×D4 | — | 2 | 3 | no | — |
| 163 | C2×C3×D4 | C22×D3 | 1 | 3 | yes | — |
| 164 | C2×#67 | — | 3 | 3 | no | — |
| 165 | C2×#67 | — | 3 | 3 | no | — |
| 166 | C2×#67 | — | 6 | 3 | no | — |
| 167 | C2×#67 | — | 6 | 3 | no | — |
| 168 | C2×#67 | — | 6 | 3 | no | — |
| 169 | C2×#67 | — | 6 | 3 | no | — |
| 170 | #239 | — | 6 | 3 | no | — |
| 171 | D3×Q8 | — | 6 | 1 | no | — |
| 172 | #237 | — | 6 | 6 | no | — |
| 173 | #237 | — | 6 | 3 | no | — |
| 174 | D3×D4 | — | 6 | 6 | no | — |
| 175 | D3×D4 | — | 6 | 6 | no | — |
| 176 | D3×D4 | — | 6 | 6 | no | — |
| 177 | D3×D4 | — | 6 | 3 | no | — |
| 178 | D3×D4 | — | 6 | 6 | no | — |
| 179 | D3×D4 | — | 12 | 12 | no | — |
| 180 | #235 | — | 6 | 6 | no | — |
| 181 | #235 | — | 6 | 3 | no | — |
| 182 | C2×D12 | — | 3 | 3 | no | — |
| 183 | C2×D12 | — | 6 | 3 | no | — |
| 184 | C2×D12 | — | 6 | 3 | no | — |
| 185 | C2×C4×D3 | — | 3 | 3 | no | — |
| 186 | C2×C4×D3 | — | 6 | 3 | no | — |
| 187 | C2×C4×D3 | — | 6 | 3 | no | — |
| 188 | C3×C22⋊C4 | — | 2 | 3 | no | — |
| 189 | C3×C22⋊C4 | C22×D3 | 1 | 3 | yes | — |
| 190 | #217 | — | 3 | 3 | no | — |
| 191 | #217 | — | 6 | 3 | no | — |
| 192 | (C2×D3)⋊C4 | — | 6 | 3 | no | — |
| 193 | (C2×D3)⋊C4 | — | 6 | 3 | no | — |
| 194 | (C2×D3)⋊C4 | — | 6 | 3 | no | — |
| 195 | C22×C9 | — | 2 | 6 | no | — |
| 196 | C22×C9 | — | 2 | 3 | no | — |
| 197 | C22×C9 | — | 4 | 1 | no | — |
| 198 | C22×C9 | — | 4 | 3 | no | — |
| 199 | C22×C9 | — | 4 | 3 | no | — |
| 200 | C22×C9 | — | 4 | 1 | no | — |
| 201 | C22×C9 | — | 8 | 1 | no | — |
| 202 | C22×C9 | C22×D4 | 1 | 3 | yes | — |
| 203 | C2×D9 | — | 2 | 6 | no | — |
| 204 | C2×D9 | — | 2 | 6 | no | — |
| 205 | C2×D9 | — | 2 | 3 | no | — |
| 206 | C2×D9 | — | 4 | 3 | no | — |
| 207 | C2×D9 | — | 4 | 12 | no | — |
| 208 | C2×D9 | — | 4 | 3 | no | — |
| 209 | C2×D9 | — | 4 | 1 | no | — |
| 210 | C2×D9 | — | 4 | 4 | no | — |
| 211 | C2×D9 | — | 4 | 6 | no | — |
| 212 | C2×D9 | — | 4 | 3 | no | — |
| 213 | C2×D9 | — | 8 | 3 | no | — |
| 214 | C2×D9 | — | 8 | 3 | no | — |
| 215 | C2×D9 | #120 | 1 | 3 | yes | — |
| 216 | C2×D9 | #120 | 1 | 1 | yes | characteristic |
| 217 | C4×C9 | — | 2 | 3 | no | — |
| 218 | C4×C9 | — | 4 | 3 | no | — |
| 219 | Dic9 | — | 2 | 3 | no | — |
| 220 | Dic9 | — | 4 | 3 | no | — |
| 221 | C25 | — | 9 | 1 | no | — |
| 222 | H(5,𝔽2) | — | 9 | 3 | no | — |
| 223 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 224 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 225 | H(5,𝔽2) | C2×D9 | 1 | 1 | yes | characteristic, complemented |
| 226 | C2×#41 | — | 18 | 3 | no | — |
| 227 | C22×D4 | — | 9 | 3 | no | — |
| 228 | C22×D4 | — | 18 | 3 | no | — |
| 229 | C22×D4 | — | 18 | 3 | no | — |
| 230 | #120 | — | 9 | 3 | no | — |
| 231 | #120 | — | 9 | 3 | no | — |
| 232 | #120 | — | 9 | 3 | no | — |
| 233 | #120 | — | 18 | 3 | no | — |
| 234 | #120 | — | 18 | 3 | no | — |
| 235 | #120 | C2×D9 | 1 | 3 | yes | complemented |
| 236 | C2×C22⋊C4 | — | 9 | 3 | no | — |
| 237 | C2×C22⋊C4 | — | 18 | 3 | no | — |
| 238 | #99 | — | 9 | 3 | no | — |
| 239 | #99 | — | 9 | 6 | no | — |
| 240 | #99 | C2×D9 | 1 | 3 | yes | complemented |
| 241 | C23×C3 | — | 2 | 1 | no | — |
| 242 | C23×C3 | — | 2 | 3 | no | — |
| 243 | C23×C3 | — | 4 | 2 | no | — |
| 244 | C23×C3 | D3×D4 | 1 | 3 | yes | — |
| 245 | C23×C3 | C23×D3 | 1 | 1 | yes | characteristic |
| 246 | C22×D3 | — | 3 | 3 | no | — |
| 247 | C22×D3 | — | 3 | 3 | no | — |
| 248 | C22×D3 | — | 3 | 3 | no | — |
| 249 | C22×D3 | — | 6 | 3 | no | — |
| 250 | C22×D3 | — | 6 | 3 | no | — |
| 251 | C22×D3 | — | 6 | 12 | no | — |
| 252 | C22×D3 | — | 6 | 3 | no | — |
| 253 | C22×D3 | — | 6 | 3 | no | — |
| 254 | C22×D3 | — | 12 | 1 | no | — |
| 255 | C22×D3 | — | 12 | 3 | no | — |
| 256 | C22×D3 | — | 12 | 2 | no | — |
| 257 | C22×D3 | — | 12 | 2 | no | — |
| 258 | C22×D3 | — | 12 | 6 | no | — |
| 259 | C22×D3 | — | 12 | 6 | no | — |
| 260 | C22×D3 | — | 12 | 6 | no | — |
| 261 | C22×D3 | — | 12 | 6 | no | — |
| 262 | C22×D3 | — | 24 | 2 | no | — |
| 263 | C3×Q8 | — | 2 | 1 | no | — |
| 264 | C3×D4 | — | 2 | 3 | no | — |
| 265 | C3×D4 | — | 2 | 6 | no | — |
| 266 | C3×D4 | — | 4 | 6 | no | — |
| 267 | C2×C3×C4 | — | 2 | 3 | no | — |
| 268 | C2×C3×C4 | — | 2 | 3 | no | — |
| 269 | C2×C3×C4 | D3×D4 | 1 | 3 | yes | — |
| 270 | #67 | — | 6 | 6 | no | — |
| 271 | #67 | — | 6 | 6 | no | — |
| 272 | #67 | — | 6 | 6 | no | — |
| 273 | #67 | — | 12 | 6 | no | — |
| 274 | #67 | — | 12 | 6 | no | — |
| 275 | C2×Dic3 | — | 3 | 3 | no | — |
| 276 | C2×Dic3 | — | 6 | 3 | no | — |
| 277 | C2×Dic3 | — | 6 | 3 | no | — |
| 278 | D12 | — | 6 | 6 | no | — |
| 279 | D12 | — | 6 | 3 | no | — |
| 280 | D12 | — | 12 | 6 | no | — |
| 281 | C4×D3 | — | 6 | 3 | no | — |
| 282 | C4×D3 | — | 6 | 3 | no | — |
| 283 | C4×D3 | — | 6 | 6 | no | — |
| 284 | C4×D3 | — | 12 | 6 | no | — |
| 285 | Dic6 | — | 6 | 3 | no | — |
| 286 | C2×C9 | — | 2 | 3 | no | — |
| 287 | C2×C9 | — | 4 | 2 | no | — |
| 288 | C2×C9 | — | 4 | 3 | no | — |
| 289 | C2×C9 | C2×#120 | 1 | 1 | yes | characteristic |
| 290 | D9 | — | 2 | 3 | no | — |
| 291 | D9 | — | 4 | 2 | no | — |
| 292 | D9 | — | 4 | 3 | no | — |
| 293 | D9 | B(4,𝔽2) | 1 | 2 | yes | direct product factor |
| 294 | C24 | — | 9 | 1 | no | — |
| 295 | C24 | — | 9 | 3 | no | — |
| 296 | C24 | — | 9 | 1 | no | — |
| 297 | C24 | — | 18 | 3 | no | — |
| 298 | C24 | — | 18 | 3 | no | — |
| 299 | C24 | — | 18 | 1 | no | — |
| 300 | C24 | — | 36 | 4 | no | — |
| 301 | C24 | C22×D9 | 1 | 1 | yes | characteristic, complemented |
| 302 | #41 | — | 2 | 3 | no | — |
| 303 | #41 | — | 18 | 6 | no | — |
| 304 | #41 | — | 18 | 6 | no | — |
| 305 | #41 | — | 18 | 3 | no | — |
| 306 | #41 | — | 18 | 3 | no | — |
| 307 | #41 | — | 18 | 3 | no | — |
| 308 | C2×Q8 | — | 18 | 1 | no | — |
| 309 | C2×D4 | — | 2 | 3 | no | — |
| 310 | C2×D4 | — | 2 | 3 | no | — |
| 311 | C2×D4 | — | 9 | 3 | no | — |
| 312 | C2×D4 | — | 9 | 3 | no | — |
| 313 | C2×D4 | — | 9 | 3 | no | — |
| 314 | C2×D4 | — | 18 | 3 | no | — |
| 315 | C2×D4 | — | 18 | 3 | no | — |
| 316 | C2×D4 | — | 18 | 6 | no | — |
| 317 | C2×D4 | — | 18 | 6 | no | — |
| 318 | C2×D4 | — | 18 | 6 | no | — |
| 319 | C2×D4 | — | 18 | 3 | no | — |
| 320 | C2×D4 | — | 18 | 6 | no | — |
| 321 | C2×D4 | — | 18 | 3 | no | — |
| 322 | C2×D4 | — | 18 | 3 | no | — |
| 323 | C2×D4 | — | 18 | 3 | no | — |
| 324 | C2×D4 | — | 18 | 3 | no | — |
| 325 | C2×D4 | — | 36 | 12 | no | — |
| 326 | C2×D4 | C22×D9 | 1 | 3 | yes | — |
| 327 | C22×C4 | — | 9 | 3 | no | — |
| 328 | C22×C4 | — | 18 | 3 | no | — |
| 329 | C22×C4 | — | 18 | 3 | no | — |
| 330 | C22⋊C4 | — | 2 | 3 | no | — |
| 331 | C22⋊C4 | — | 9 | 3 | no | — |
| 332 | C22⋊C4 | — | 18 | 3 | no | — |
| 333 | C22⋊C4 | — | 18 | 3 | no | — |
| 334 | C22⋊C4 | — | 18 | 3 | no | — |
| 335 | C22⋊C4 | — | 18 | 3 | no | — |
| 336 | C22⋊C4 | C22×D9 | 1 | 3 | yes | complemented |
| 337 | C22×C3 | — | 2 | 6 | no | — |
| 338 | C22×C3 | — | 2 | 3 | no | — |
| 339 | C22×C3 | — | 4 | 1 | no | — |
| 340 | C22×C3 | — | 4 | 3 | no | — |
| 341 | C22×C3 | — | 4 | 3 | no | — |
| 342 | C22×C3 | — | 4 | 1 | no | — |
| 343 | C22×C3 | — | 8 | 1 | no | — |
| 344 | C22×C3 | C2×D3×D4 | 1 | 3 | yes | — |
| 345 | C2×D3 | — | 3 | 1 | no | — |
| 346 | C2×D3 | — | 3 | 3 | no | — |
| 347 | C2×D3 | — | 6 | 6 | no | — |
| 348 | C2×D3 | — | 6 | 6 | no | — |
| 349 | C2×D3 | — | 6 | 3 | no | — |
| 350 | C2×D3 | — | 12 | 4 | no | — |
| 351 | C2×D3 | — | 12 | 6 | no | — |
| 352 | C2×D3 | — | 12 | 3 | no | — |
| 353 | C2×D3 | — | 12 | 12 | no | — |
| 354 | C2×D3 | — | 12 | 3 | no | — |
| 355 | C2×D3 | — | 12 | 1 | no | — |
| 356 | C2×D3 | — | 12 | 3 | no | — |
| 357 | C2×D3 | — | 24 | 3 | no | — |
| 358 | C2×D3 | — | 24 | 3 | no | — |
| 359 | C3×C4 | — | 2 | 3 | no | — |
| 360 | C3×C4 | — | 4 | 3 | no | — |
| 361 | Dic3 | — | 6 | 3 | no | — |
| 362 | Dic3 | — | 12 | 3 | no | — |
| 363 | C9 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 364 | C23 | — | 2 | 1 | no | — |
| 365 | C23 | — | 2 | 3 | no | — |
| 366 | C23 | — | 4 | 2 | no | — |
| 367 | C23 | — | 9 | 3 | no | — |
| 368 | C23 | — | 9 | 3 | no | — |
| 369 | C23 | — | 9 | 3 | no | — |
| 370 | C23 | — | 18 | 3 | no | — |
| 371 | C23 | — | 18 | 3 | no | — |
| 372 | C23 | — | 18 | 12 | no | — |
| 373 | C23 | — | 18 | 3 | no | — |
| 374 | C23 | — | 18 | 3 | no | — |
| 375 | C23 | — | 36 | 6 | no | — |
| 376 | C23 | — | 36 | 1 | no | — |
| 377 | C23 | — | 36 | 3 | no | — |
| 378 | C23 | — | 36 | 2 | no | — |
| 379 | C23 | — | 36 | 2 | no | — |
| 380 | C23 | — | 36 | 6 | no | — |
| 381 | C23 | — | 36 | 6 | no | — |
| 382 | C23 | — | 36 | 6 | no | — |
| 383 | C23 | — | 72 | 2 | no | — |
| 384 | C23 | D4×D9 | 1 | 3 | yes | complemented |
| 385 | C23 | C23×D9 | 1 | 1 | yes | characteristic |
| 386 | Q8 | — | 2 | 1 | no | — |
| 387 | Q8 | — | 18 | 3 | no | — |
| 388 | D4 | — | 2 | 3 | no | — |
| 389 | D4 | — | 2 | 6 | no | — |
| 390 | D4 | — | 4 | 6 | no | — |
| 391 | D4 | — | 18 | 6 | no | — |
| 392 | D4 | — | 18 | 3 | no | — |
| 393 | D4 | — | 18 | 6 | no | — |
| 394 | D4 | — | 18 | 6 | no | — |
| 395 | D4 | — | 18 | 6 | no | — |
| 396 | D4 | — | 36 | 6 | no | — |
| 397 | D4 | — | 36 | 6 | no | — |
| 398 | D4 | — | 36 | 6 | no | — |
| 399 | C2×C4 | — | 2 | 3 | no | — |
| 400 | C2×C4 | — | 2 | 3 | no | — |
| 401 | C2×C4 | — | 9 | 3 | no | — |
| 402 | C2×C4 | — | 18 | 3 | no | — |
| 403 | C2×C4 | — | 18 | 3 | no | — |
| 404 | C2×C4 | — | 18 | 6 | no | — |
| 405 | C2×C4 | — | 18 | 3 | no | — |
| 406 | C2×C4 | — | 18 | 3 | no | — |
| 407 | C2×C4 | — | 36 | 6 | no | — |
| 408 | C2×C4 | D4×D9 | 1 | 3 | yes | complemented |
| 409 | C2×C3 | — | 2 | 3 | no | — |
| 410 | C2×C3 | — | 4 | 2 | no | — |
| 411 | C2×C3 | — | 4 | 3 | no | — |
| 412 | C2×C3 | D3×#120 | 1 | 1 | yes | characteristic |
| 413 | D3 | — | 3 | 2 | no | — |
| 414 | D3 | — | 6 | 3 | no | — |
| 415 | D3 | — | 12 | 2 | no | — |
| 416 | D3 | — | 12 | 3 | no | — |
| 417 | C22 | — | 2 | 6 | no | — |
| 418 | C22 | — | 2 | 3 | no | — |
| 419 | C22 | — | 4 | 1 | no | — |
| 420 | C22 | — | 4 | 3 | no | — |
| 421 | C22 | — | 4 | 3 | no | — |
| 422 | C22 | — | 4 | 1 | no | — |
| 423 | C22 | — | 8 | 1 | no | — |
| 424 | C22 | — | 9 | 1 | no | — |
| 425 | C22 | — | 9 | 3 | no | — |
| 426 | C22 | — | 18 | 6 | no | — |
| 427 | C22 | — | 18 | 6 | no | — |
| 428 | C22 | — | 18 | 3 | no | — |
| 429 | C22 | — | 36 | 3 | no | — |
| 430 | C22 | — | 36 | 3 | no | — |
| 431 | C22 | — | 36 | 3 | no | — |
| 432 | C22 | — | 36 | 4 | no | — |
| 433 | C22 | — | 36 | 6 | no | — |
| 434 | C22 | — | 36 | 12 | no | — |
| 435 | C22 | — | 36 | 1 | no | — |
| 436 | C22 | — | 72 | 3 | no | — |
| 437 | C22 | — | 72 | 3 | no | — |
| 438 | C22 | C2×D4×D9 | 1 | 3 | yes | — |
| 439 | C4 | — | 2 | 3 | no | — |
| 440 | C4 | — | 4 | 3 | no | — |
| 441 | C4 | — | 18 | 3 | no | — |
| 442 | C4 | — | 36 | 3 | no | — |
| 443 | C3 | D3×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 444 | C2 | — | 2 | 3 | no | — |
| 445 | C2 | — | 4 | 2 | no | — |
| 446 | C2 | — | 4 | 3 | no | — |
| 447 | C2 | — | 9 | 2 | no | — |
| 448 | C2 | — | 18 | 3 | no | — |
| 449 | C2 | — | 36 | 2 | no | — |
| 450 | C2 | — | 36 | 3 | no | — |
| 451 | C2 | D9×#120 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D9×H(5,𝔽2) | C2 | semidirect |
| 2. D9×#120 | C2 | semidirect |
| 3. C9×B(4,𝔽2) | C2 | semidirect |
| 4. #10588924 | C2 | semidirect |
| 5. #10588712 | C2 | semidirect |
| 6. D9×#99 | C2 | semidirect |
| 7. #10588421 | C2 | semidirect |
| 9. C24×D9 | C22 | semidirect |
| 10. C9×H(5,𝔽2) | C22 | semidirect |
| 14. #63710 | C22 | semidirect |
| 18. C9×#120 | C22 | semidirect |
| 19. #63515 | C22 | semidirect |
| 21. #63499 | C22 | semidirect |
| 23. #63444 | C22 | semidirect |
| 25. C22⋊C4×D9 | C22 | semidirect |
| 26. C9×#99 | C22 | semidirect |
| 27. #63393 | C22 | semidirect |
| 28. #63365 | C22 | semidirect |
| 36. C24×C9 | C23 | semidirect |
| 41. C23×D9 | D4 | semidirect |
| 43. C23×D9 | C23 | semidirect |
| 52. C2×#611 | D4 | semidirect |
| 68. C2×D36 | D4 | semidirect |
| 71. C2×C4×D9 | D4 | semidirect |
| 73. C9×C22⋊C4 | C23 | semidirect |
| 75. #3676 | C23 | semidirect |
| 103. C23×C9 | C2×D4 | semidirect |
| 121. C22×D9 | C2×D4 | semidirect |
| 128. C2×C4×C9 | C2×D4 | semidirect |
| 136. C2×Dic9 | C2×D4 | semidirect |
| 150. B(4,𝔽2) | D9 | direct (N × H) |
| 225. H(5,𝔽2) | C2×D9 | semidirect |
| 235. #120 | C2×D9 | semidirect |
| 240. #99 | C2×D9 | semidirect |
| 293. D9 | B(4,𝔽2) | direct (N × H) |
| 301. C24 | C22×D9 | semidirect |
| 336. C22⋊C4 | C22×D9 | semidirect |
| 363. C9 | C2×B(4,𝔽2) | semidirect |
| 384. C23 | D4×D9 | semidirect |
| 408. C2×C4 | D4×D9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D9×H(5,𝔽2) | 2 |
| D9×#120 | 2 |
| C9×B(4,𝔽2) | 2 |
| #10588924 | 2 |
| #10588712 | 2 |
| D9×#99 | 2 |
| #10588421 | 2 |
| D3×B(4,𝔽2) | 3 |