Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
640 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 640 conjugacy classes of subgroups — too many to draw. Only its 55 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×#64227 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#63945 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#63941 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #10593834 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#63728 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×#63727 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10590051 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#3832 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×#3802 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×#3797 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×#3788 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×#3787 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#3775 | — | 2 | 2 | no | — |
| 14 | #64227 | — | 2 | 2 | no | — |
| 15 | #64227 | — | 2 | 2 | no | — |
| 16 | C2×C3×#216 | — | 2 | 1 | no | — |
| 17 | C2×C3×#215 | — | 2 | 1 | no | — |
| 18 | #63945 | — | 2 | 2 | no | — |
| 19 | #63945 | — | 2 | 2 | no | — |
| 20 | #63941 | — | 2 | 2 | no | — |
| 21 | #63941 | — | 2 | 2 | no | — |
| 22 | C2×#3717 | — | 2 | 1 | no | — |
| 23 | C2×#3714 | — | 2 | 1 | no | — |
| 24 | C2×#3712 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#3712 | C22 | 1 | 1 | yes | characteristic |
| 26 | #63778 | — | 2 | 2 | no | — |
| 27 | #63728 | — | 2 | 2 | no | — |
| 28 | #63727 | — | 2 | 2 | no | — |
| 29 | C2×#918 | — | 6 | 1 | no | — |
| 30 | C2×#914 | — | 6 | 1 | no | — |
| 31 | C22×D32 | — | 2 | 1 | no | — |
| 32 | C2×C32×Q8 | D4 | 1 | 1 | yes | characteristic |
| 33 | #3832 | — | 2 | 1 | no | — |
| 34 | #3832 | — | 2 | 1 | no | — |
| 35 | #3832 | — | 2 | 1 | no | — |
| 36 | #3832 | — | 2 | 1 | no | — |
| 37 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 38 | C2×C4⋊(C3⋊D3) | D4 | 1 | 1 | yes | characteristic |
| 39 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 40 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 41 | C2×C3×D12 | — | 2 | 1 | no | — |
| 42 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 43 | C2×#627 | — | 2 | 1 | no | — |
| 44 | C2×#625 | — | 2 | 1 | no | — |
| 45 | C2×#624 | — | 2 | 1 | no | — |
| 46 | #3802 | — | 2 | 1 | no | — |
| 47 | #3802 | — | 2 | 1 | no | — |
| 48 | #3802 | — | 2 | 1 | no | — |
| 49 | #3802 | D4 | 1 | 2 | yes | — |
| 50 | #3797 | — | 2 | 1 | no | — |
| 51 | #3797 | — | 2 | 1 | no | — |
| 52 | #3797 | — | 2 | 1 | no | — |
| 53 | #3797 | D4 | 1 | 2 | yes | — |
| 54 | C2×#622 | — | 2 | 1 | no | — |
| 55 | C2×#622 | D4 | 1 | 2 | yes | — |
| 56 | #3788 | — | 2 | 1 | no | — |
| 57 | #3788 | — | 2 | 1 | no | — |
| 58 | #3787 | — | 2 | 1 | no | — |
| 59 | #3787 | — | 2 | 1 | no | — |
| 60 | #3775 | — | 2 | 8 | no | — |
| 61 | C3×#216 | — | 2 | 4 | no | — |
| 62 | C3×#215 | — | 2 | 4 | no | — |
| 63 | C2×C3×C3⋊C8 | — | 2 | 1 | no | — |
| 64 | C2×C3×C3⋊C8 | — | 2 | 1 | no | — |
| 65 | #3717 | — | 2 | 4 | no | — |
| 66 | #3714 | — | 2 | 4 | no | — |
| 67 | #3712 | — | 2 | 1 | no | — |
| 68 | #3712 | — | 2 | 1 | no | — |
| 69 | #3712 | D4 | 1 | 2 | yes | — |
| 70 | #3712 | D4 | 1 | 2 | yes | — |
| 71 | #2019 | — | 9 | 1 | no | maximal, Sylow |
| 72 | C2×#239 | — | 6 | 1 | no | — |
| 73 | C2×#239 | — | 6 | 1 | no | — |
| 74 | C2×D3×Q8 | — | 6 | 1 | no | — |
| 75 | C2×D3×D4 | — | 6 | 1 | no | — |
| 76 | C2×C3×Q16 | — | 6 | 1 | no | — |
| 77 | C2×C3×SD16 | — | 6 | 1 | no | — |
| 78 | C2×#216 | — | 2 | 1 | no | — |
| 79 | C2×#215 | — | 2 | 1 | no | — |
| 80 | C2×#215 | — | 6 | 1 | no | — |
| 81 | C2×#213 | — | 6 | 1 | no | — |
| 82 | #918 | — | 6 | 4 | no | — |
| 83 | #918 | — | 6 | 4 | no | — |
| 84 | #914 | — | 6 | 4 | no | — |
| 85 | #914 | — | 6 | 4 | no | — |
| 86 | C2×D24 | — | 6 | 1 | no | — |
| 87 | C2×#204 | — | 6 | 1 | no | — |
| 88 | C2×ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 89 | C2×ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 90 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 91 | C22×C3⋊D3 | #41 | 1 | 1 | yes | characteristic |
| 92 | C22×C3×D3 | — | 4 | 1 | no | — |
| 93 | C2×D32 | — | 2 | 2 | no | — |
| 94 | C2×D32 | — | 4 | 1 | no | — |
| 95 | C2×D32 | — | 8 | 2 | no | — |
| 96 | C32×Q8 | — | 2 | 1 | no | — |
| 97 | C32×Q8 | — | 2 | 1 | no | — |
| 98 | C2×C32×C4 | — | 2 | 1 | no | — |
| 99 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 100 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 101 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 102 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 103 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 104 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 105 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 106 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 107 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 108 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 109 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 110 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 111 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 112 | C3×D12 | — | 2 | 2 | no | — |
| 113 | C3×D12 | — | 4 | 1 | no | — |
| 114 | C3×Dic6 | — | 2 | 2 | no | — |
| 115 | C3×Dic6 | — | 4 | 1 | no | — |
| 116 | #627 | — | 2 | 2 | no | — |
| 117 | #627 | — | 4 | 1 | no | — |
| 118 | #625 | — | 2 | 2 | no | — |
| 119 | #625 | — | 4 | 1 | no | — |
| 120 | #624 | — | 2 | 2 | no | — |
| 121 | #624 | — | 4 | 1 | no | — |
| 122 | #622 | — | 2 | 2 | no | — |
| 123 | #622 | — | 4 | 1 | no | — |
| 124 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 125 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 126 | C2×#137 | — | 9 | 1 | no | — |
| 127 | C2×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 128 | C22×SD16 | — | 9 | 1 | no | — |
| 129 | C2×#101 | — | 9 | 1 | no | — |
| 130 | C2×#100 | — | 9 | 1 | no | — |
| 131 | #408 | — | 9 | 1 | no | — |
| 132 | #341 | — | 9 | 1 | no | — |
| 133 | C23×D3 | — | 12 | 1 | no | — |
| 134 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 135 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 136 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 137 | C2×C3×D4 | — | 6 | 1 | no | — |
| 138 | C2×#67 | — | 12 | 1 | no | — |
| 139 | #239 | — | 6 | 2 | no | — |
| 140 | #239 | — | 6 | 2 | no | — |
| 141 | #239 | — | 6 | 2 | no | — |
| 142 | #239 | — | 6 | 2 | no | — |
| 143 | #239 | — | 12 | 1 | no | — |
| 144 | #239 | — | 12 | 1 | no | — |
| 145 | #239 | — | 12 | 1 | no | — |
| 146 | #239 | — | 12 | 1 | no | — |
| 147 | D3×Q8 | — | 6 | 2 | no | — |
| 148 | D3×Q8 | — | 6 | 2 | no | — |
| 149 | D3×Q8 | — | 12 | 1 | no | — |
| 150 | D3×Q8 | — | 12 | 1 | no | — |
| 151 | D3×D4 | — | 6 | 2 | no | — |
| 152 | D3×D4 | — | 6 | 2 | no | — |
| 153 | D3×D4 | — | 12 | 1 | no | — |
| 154 | D3×D4 | — | 12 | 1 | no | — |
| 155 | C2×D12 | — | 2 | 1 | no | — |
| 156 | C2×D12 | — | 6 | 1 | no | — |
| 157 | C2×D12 | — | 6 | 1 | no | — |
| 158 | C2×D12 | — | 12 | 1 | no | — |
| 159 | C2×D12 | — | 12 | 1 | no | — |
| 160 | C2×C4×D3 | — | 6 | 1 | no | — |
| 161 | C2×C4×D3 | — | 6 | 1 | no | — |
| 162 | C2×C4×D3 | — | 12 | 1 | no | — |
| 163 | C2×C4×D3 | — | 12 | 1 | no | — |
| 164 | C2×C4×D3 | — | 12 | 1 | no | — |
| 165 | C2×Dic6 | — | 2 | 1 | no | — |
| 166 | C2×Dic6 | — | 12 | 1 | no | — |
| 167 | C3×Q16 | — | 6 | 4 | no | — |
| 168 | C3×SD16 | — | 6 | 4 | no | — |
| 169 | C2×C3×C8 | — | 6 | 1 | no | — |
| 170 | C2×C3×C8 | — | 6 | 1 | no | — |
| 171 | #216 | — | 2 | 4 | no | — |
| 172 | #215 | — | 2 | 4 | no | — |
| 173 | #215 | — | 6 | 4 | no | — |
| 174 | #213 | — | 6 | 4 | no | — |
| 175 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 176 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 177 | D24 | — | 6 | 4 | no | — |
| 178 | #204 | — | 6 | 4 | no | — |
| 179 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 180 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 181 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 182 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 183 | C22×C32 | #121 | 1 | 1 | yes | characteristic |
| 184 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 185 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 186 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 187 | C2×C3⋊D3 | #121 | 1 | 1 | yes | characteristic |
| 188 | C2×C3⋊D3 | #121 | 1 | 1 | yes | characteristic |
| 189 | C2×C3×D3 | — | 4 | 2 | no | — |
| 190 | C2×C3×D3 | — | 8 | 2 | no | — |
| 191 | D32 | — | 8 | 2 | no | — |
| 192 | D32 | — | 8 | 2 | no | — |
| 193 | C32×C4 | — | 4 | 1 | no | — |
| 194 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 195 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 196 | C3⋊Dic3 | #120 | 1 | 1 | yes | characteristic |
| 197 | C3⋊Dic3 | #127 | 1 | 1 | yes | characteristic |
| 198 | C3×Dic3 | — | 4 | 2 | no | — |
| 199 | C2×#41 | — | 9 | 1 | no | — |
| 200 | C22×Q8 | — | 9 | 1 | no | — |
| 201 | C22×D4 | — | 9 | 1 | no | — |
| 202 | #137 | — | 18 | 2 | no | — |
| 203 | #137 | — | 18 | 2 | no | — |
| 204 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 205 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 206 | C2×Q16 | — | 6 | 1 | no | — |
| 207 | C2×SD16 | — | 6 | 1 | no | — |
| 208 | C2×SD16 | — | 18 | 1 | no | — |
| 209 | C2×SD16 | — | 18 | 2 | no | — |
| 210 | C2×SD16 | — | 18 | 2 | no | — |
| 211 | C2×SD16 | — | 18 | 2 | no | — |
| 212 | C2×D8 | — | 18 | 1 | no | — |
| 213 | C2×M16 | — | 9 | 1 | no | — |
| 214 | C2×M16 | — | 9 | 1 | no | — |
| 215 | C2×M16 | — | 9 | 1 | no | — |
| 216 | C22×C8 | — | 9 | 1 | no | — |
| 217 | #101 | — | 18 | 2 | no | — |
| 218 | #100 | — | 18 | 2 | no | — |
| 219 | C22⋊C8 | — | 18 | 2 | no | — |
| 220 | C23×C3 | — | 12 | 1 | no | — |
| 221 | C22×D3 | — | 4 | 1 | no | — |
| 222 | C22×D3 | — | 6 | 1 | no | — |
| 223 | C22×D3 | — | 6 | 1 | no | — |
| 224 | C22×D3 | — | 12 | 2 | no | — |
| 225 | C22×D3 | — | 12 | 1 | no | — |
| 226 | C22×D3 | — | 12 | 1 | no | — |
| 227 | C22×D3 | — | 12 | 2 | no | — |
| 228 | C22×D3 | — | 24 | 4 | no | — |
| 229 | C3×Q8 | — | 2 | 2 | no | — |
| 230 | C3×Q8 | — | 2 | 2 | no | — |
| 231 | C3×Q8 | — | 4 | 1 | no | — |
| 232 | C3×Q8 | — | 4 | 1 | no | — |
| 233 | C3×Q8 | — | 6 | 2 | no | — |
| 234 | C3×Q8 | — | 12 | 1 | no | — |
| 235 | C3×D4 | — | 6 | 2 | no | — |
| 236 | C3×D4 | — | 12 | 1 | no | — |
| 237 | C2×C3×C4 | — | 2 | 1 | no | — |
| 238 | C2×C3×C4 | — | 2 | 1 | no | — |
| 239 | C2×C3×C4 | — | 4 | 1 | no | — |
| 240 | C2×C3×C4 | — | 4 | 1 | no | — |
| 241 | C2×C3×C4 | — | 12 | 1 | no | — |
| 242 | #67 | — | 12 | 2 | no | — |
| 243 | #67 | — | 12 | 2 | no | — |
| 244 | C2×Dic3 | — | 4 | 1 | no | — |
| 245 | C2×Dic3 | — | 6 | 1 | no | — |
| 246 | C2×Dic3 | — | 6 | 1 | no | — |
| 247 | D12 | — | 2 | 2 | no | — |
| 248 | D12 | — | 4 | 1 | no | — |
| 249 | D12 | — | 6 | 2 | no | — |
| 250 | D12 | — | 6 | 2 | no | — |
| 251 | D12 | — | 12 | 1 | no | — |
| 252 | D12 | — | 12 | 1 | no | — |
| 253 | D12 | — | 12 | 2 | no | — |
| 254 | D12 | — | 12 | 2 | no | — |
| 255 | D12 | — | 12 | 2 | no | — |
| 256 | D12 | — | 12 | 2 | no | — |
| 257 | C4×D3 | — | 6 | 1 | no | — |
| 258 | C4×D3 | — | 6 | 1 | no | — |
| 259 | C4×D3 | — | 6 | 1 | no | — |
| 260 | C4×D3 | — | 6 | 1 | no | — |
| 261 | C4×D3 | — | 6 | 1 | no | — |
| 262 | C4×D3 | — | 6 | 1 | no | — |
| 263 | C4×D3 | — | 6 | 1 | no | — |
| 264 | C4×D3 | — | 6 | 1 | no | — |
| 265 | C4×D3 | — | 12 | 2 | no | — |
| 266 | C4×D3 | — | 12 | 2 | no | — |
| 267 | C4×D3 | — | 12 | 2 | no | — |
| 268 | C4×D3 | — | 12 | 2 | no | — |
| 269 | C4×D3 | — | 12 | 2 | no | — |
| 270 | C4×D3 | — | 12 | 2 | no | — |
| 271 | Dic6 | — | 2 | 2 | no | — |
| 272 | Dic6 | — | 4 | 1 | no | — |
| 273 | Dic6 | — | 12 | 2 | no | — |
| 274 | Dic6 | — | 12 | 2 | no | — |
| 275 | C3×C8 | — | 6 | 2 | no | — |
| 276 | C3×C8 | — | 6 | 2 | no | — |
| 277 | C3⋊C8 | — | 2 | 2 | no | — |
| 278 | C3⋊C8 | — | 2 | 2 | no | — |
| 279 | C2×C32 | #392 | 1 | 1 | yes | characteristic |
| 280 | C2×C32 | #471 | 1 | 2 | yes | — |
| 281 | C3⋊D3 | — | 2 | 1 | no | — |
| 282 | C3⋊D3 | — | 2 | 1 | no | — |
| 283 | C3⋊D3 | — | 8 | 1 | no | — |
| 284 | C3×D3 | — | 8 | 2 | no | — |
| 285 | C24 | — | 18 | 1 | no | — |
| 286 | #41 | — | 18 | 1 | no | — |
| 287 | #41 | — | 18 | 1 | no | — |
| 288 | #41 | — | 18 | 1 | no | — |
| 289 | #41 | — | 18 | 1 | no | — |
| 290 | C2×Q8 | — | 6 | 1 | no | — |
| 291 | C2×Q8 | — | 9 | 2 | no | — |
| 292 | C2×Q8 | — | 18 | 1 | no | — |
| 293 | C2×Q8 | — | 18 | 1 | no | — |
| 294 | C2×Q8 | — | 18 | 1 | no | — |
| 295 | C2×Q8 | — | 18 | 1 | no | — |
| 296 | C2×Q8 | GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 297 | C2×D4 | — | 6 | 1 | no | — |
| 298 | C2×D4 | — | 9 | 2 | no | — |
| 299 | C2×D4 | — | 9 | 1 | no | — |
| 300 | C2×D4 | — | 18 | 1 | no | — |
| 301 | C2×D4 | — | 18 | 1 | no | — |
| 302 | C2×D4 | — | 18 | 1 | no | — |
| 303 | C2×D4 | — | 18 | 1 | no | — |
| 304 | C2×D4 | — | 18 | 1 | no | — |
| 305 | C22×C4 | — | 9 | 1 | no | — |
| 306 | C22×C4 | — | 18 | 1 | no | — |
| 307 | C22×C4 | — | 18 | 1 | no | — |
| 308 | Q16 | — | 6 | 4 | no | — |
| 309 | SD16 | — | 6 | 4 | no | — |
| 310 | SD16 | — | 18 | 4 | no | — |
| 311 | SD16 | — | 18 | 8 | no | — |
| 312 | D8 | — | 18 | 4 | no | — |
| 313 | M16 | — | 9 | 2 | no | — |
| 314 | M16 | — | 9 | 2 | no | — |
| 315 | M16 | — | 18 | 1 | no | — |
| 316 | M16 | — | 18 | 1 | no | — |
| 317 | M16 | — | 18 | 1 | no | — |
| 318 | M16 | — | 18 | 1 | no | — |
| 319 | C2×C8 | — | 6 | 1 | no | — |
| 320 | C2×C8 | — | 6 | 1 | no | — |
| 321 | C2×C8 | — | 9 | 2 | no | — |
| 322 | C2×C8 | — | 18 | 1 | no | — |
| 323 | C2×C8 | — | 18 | 1 | no | — |
| 324 | C2×C8 | — | 18 | 1 | no | — |
| 325 | C22×C3 | — | 2 | 1 | no | — |
| 326 | C22×C3 | — | 2 | 1 | no | — |
| 327 | C22×C3 | — | 12 | 2 | no | — |
| 328 | C22×C3 | — | 24 | 2 | no | — |
| 329 | C2×D3 | — | 4 | 2 | no | — |
| 330 | C2×D3 | — | 6 | 1 | no | — |
| 331 | C2×D3 | — | 6 | 1 | no | — |
| 332 | C2×D3 | — | 6 | 1 | no | — |
| 333 | C2×D3 | — | 6 | 1 | no | — |
| 334 | C2×D3 | — | 8 | 2 | no | — |
| 335 | C2×D3 | — | 12 | 2 | no | — |
| 336 | C2×D3 | — | 12 | 2 | no | — |
| 337 | C2×D3 | — | 12 | 2 | no | — |
| 338 | C2×D3 | — | 12 | 2 | no | — |
| 339 | C2×D3 | — | 24 | 2 | no | — |
| 340 | C2×D3 | — | 24 | 2 | no | — |
| 341 | C2×D3 | — | 24 | 4 | no | — |
| 342 | C2×D3 | — | 24 | 4 | no | — |
| 343 | C3×C4 | — | 2 | 1 | no | — |
| 344 | C3×C4 | — | 2 | 1 | no | — |
| 345 | C3×C4 | — | 2 | 1 | no | — |
| 346 | C3×C4 | — | 2 | 1 | no | — |
| 347 | C3×C4 | — | 4 | 2 | no | — |
| 348 | C3×C4 | — | 4 | 2 | no | — |
| 349 | C3×C4 | — | 12 | 2 | no | — |
| 350 | Dic3 | — | 4 | 2 | no | — |
| 351 | Dic3 | — | 6 | 1 | no | — |
| 352 | Dic3 | — | 6 | 1 | no | — |
| 353 | Dic3 | — | 6 | 1 | no | — |
| 354 | Dic3 | — | 6 | 1 | no | — |
| 355 | C32 | #2019 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 356 | C23 | — | 9 | 1 | no | — |
| 357 | C23 | — | 12 | 1 | no | — |
| 358 | C23 | — | 18 | 2 | no | — |
| 359 | C23 | — | 18 | 1 | no | — |
| 360 | C23 | — | 36 | 1 | no | — |
| 361 | C23 | — | 72 | 2 | no | — |
| 362 | Q8 | — | 2 | 1 | no | — |
| 363 | Q8 | — | 2 | 1 | no | — |
| 364 | Q8 | — | 6 | 2 | no | — |
| 365 | Q8 | — | 12 | 1 | no | — |
| 366 | Q8 | — | 18 | 2 | no | — |
| 367 | Q8 | — | 36 | 1 | no | — |
| 368 | D4 | — | 6 | 2 | no | — |
| 369 | D4 | — | 12 | 1 | no | — |
| 370 | D4 | — | 18 | 2 | no | — |
| 371 | D4 | — | 18 | 1 | no | — |
| 372 | D4 | — | 18 | 1 | no | — |
| 373 | D4 | — | 36 | 1 | no | — |
| 374 | D4 | — | 36 | 1 | no | — |
| 375 | D4 | — | 36 | 1 | no | — |
| 376 | C2×C4 | — | 2 | 1 | no | — |
| 377 | C2×C4 | — | 9 | 1 | no | — |
| 378 | C2×C4 | — | 9 | 1 | no | — |
| 379 | C2×C4 | — | 9 | 1 | no | — |
| 380 | C2×C4 | — | 9 | 1 | no | — |
| 381 | C2×C4 | — | 9 | 1 | no | — |
| 382 | C2×C4 | — | 12 | 1 | no | — |
| 383 | C2×C4 | — | 18 | 2 | no | — |
| 384 | C2×C4 | — | 36 | 1 | no | — |
| 385 | C2×C4 | — | 36 | 1 | no | — |
| 386 | C2×C4 | — | 36 | 1 | no | — |
| 387 | C2×C4 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 388 | C8 | — | 6 | 2 | no | — |
| 389 | C8 | — | 6 | 2 | no | — |
| 390 | C8 | — | 18 | 2 | no | — |
| 391 | C8 | — | 36 | 1 | no | — |
| 392 | C2×C3 | — | 2 | 2 | no | — |
| 393 | C2×C3 | — | 2 | 2 | no | — |
| 394 | C2×C3 | — | 2 | 1 | no | — |
| 395 | C2×C3 | — | 2 | 1 | no | — |
| 396 | C2×C3 | — | 24 | 2 | no | — |
| 397 | D3 | — | 8 | 2 | no | — |
| 398 | D3 | — | 12 | 1 | no | — |
| 399 | D3 | — | 12 | 1 | no | — |
| 400 | D3 | — | 12 | 1 | no | — |
| 401 | D3 | — | 12 | 1 | no | — |
| 402 | D3 | — | 24 | 2 | no | — |
| 403 | D3 | — | 24 | 2 | no | — |
| 404 | C22 | — | 9 | 1 | no | — |
| 405 | C22 | — | 9 | 1 | no | — |
| 406 | C22 | — | 12 | 2 | no | — |
| 407 | C22 | — | 18 | 2 | no | — |
| 408 | C22 | — | 24 | 2 | no | — |
| 409 | C22 | — | 36 | 2 | no | — |
| 410 | C22 | — | 36 | 1 | no | — |
| 411 | C22 | — | 72 | 2 | no | — |
| 412 | C22 | — | 72 | 2 | no | — |
| 413 | C22 | #64242 | 1 | 1 | yes | characteristic |
| 414 | C4 | — | 4 | 1 | no | — |
| 415 | C4 | — | 9 | 1 | no | — |
| 416 | C4 | — | 9 | 1 | no | — |
| 417 | C4 | — | 12 | 2 | no | — |
| 418 | C4 | #64241 | 1 | 1 | yes | characteristic |
| 419 | C4 | #64241 | 1 | 1 | yes | characteristic |
| 420 | C3 | — | 2 | 1 | no | — |
| 421 | C3 | — | 2 | 1 | no | — |
| 422 | C2 | — | 18 | 1 | no | — |
| 423 | C2 | — | 18 | 1 | no | — |
| 424 | C2 | — | 24 | 2 | no | — |
| 425 | C2 | — | 72 | 1 | no | — |
| 426 | C2 | #10593481 | 1 | 2 | yes | — |
| 427 | C2 | #10593530 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#64227 | C2 | semidirect |
| 2. C2×#63945 | C2 | semidirect |
| 4. #10593834 | C2 | semidirect |
| 5. C2×#63728 | C2 | semidirect |
| 6. C2×#63727 | C2 | semidirect |
| 7. #10590051 | C2 | semidirect |
| 355. C32 | #2019 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64227 | 2 |
| C2×#63945 | 2 |
| C2×#63941 | 2 |
| #10593834 | 2 |
| C2×#63728 | 2 |
| C2×#63727 | 2 |
| #10590051 | 2 |
| #2019 | 9 |