Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
575 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 575 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×#5061 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10591530 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10589407 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10589173 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #71950 | — | 3 | 1 | no | maximal |
| 7 | #70991 | — | 3 | 1 | no | maximal |
| 8 | C3×#1004 | C22 | 1 | 1 | yes | characteristic |
| 9 | C32×#124 | C22 | 1 | 1 | yes | characteristic |
| 10 | C3×#947 | — | 2 | 1 | no | — |
| 11 | C3×#942 | — | 2 | 1 | no | — |
| 12 | C3×#937 | C22 | 1 | 2 | yes | — |
| 13 | C3×#885 | — | 2 | 2 | no | — |
| 14 | C3×#882 | — | 2 | 2 | no | — |
| 15 | C3×#875 | — | 2 | 1 | no | — |
| 16 | #63976 | — | 2 | 2 | no | — |
| 17 | #63661 | C22 | 1 | 2 | yes | — |
| 18 | C3×#833 | C22 | 1 | 1 | yes | characteristic |
| 19 | C3×#805 | — | 2 | 1 | no | — |
| 20 | #63580 | — | 2 | 2 | no | — |
| 21 | C3×H(3,𝔽4) | — | 3 | 1 | no | — |
| 22 | #5683 | D3 | 1 | 1 | yes | characteristic, complemented |
| 23 | C3×#455 | — | 3 | 1 | no | — |
| 24 | #5244 | — | 3 | 2 | no | — |
| 25 | #5061 | D3 | 1 | 1 | yes | characteristic, complemented |
| 26 | #5032 | — | 3 | 2 | no | — |
| 27 | #4541 | — | 3 | 1 | no | — |
| 28 | #4541 | — | 3 | 1 | no | — |
| 29 | #4541 | — | 6 | 1 | no | — |
| 30 | #4536 | — | 3 | 2 | no | — |
| 31 | #4475 | — | 3 | 2 | no | — |
| 32 | C23×C3×D3 | D4 | 1 | 2 | yes | complemented |
| 33 | C2×C32×Q8 | D4 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×C32×D4 | C23 | 1 | 1 | yes | characteristic |
| 35 | C2×C3×#67 | — | 2 | 2 | no | — |
| 36 | C2×C3×#67 | — | 2 | 2 | no | — |
| 37 | C3×#237 | — | 4 | 1 | no | — |
| 38 | C3×D3×D4 | — | 4 | 1 | no | — |
| 39 | C3×#235 | — | 2 | 1 | no | — |
| 40 | C2×C3×D12 | — | 2 | 1 | no | — |
| 41 | C2×C3×D12 | — | 2 | 1 | no | — |
| 42 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 43 | C2×#625 | — | 4 | 2 | no | — |
| 44 | C32×C22⋊C4 | — | 2 | 2 | no | — |
| 45 | C32×C42 | D4 | 1 | 1 | yes | characteristic, complemented |
| 46 | #3757 | — | 2 | 2 | no | — |
| 47 | C3×#217 | D4 | 1 | 2 | yes | complemented |
| 48 | C3×#216 | — | 4 | 1 | no | — |
| 49 | C3×#215 | — | 4 | 1 | no | — |
| 50 | C3×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 51 | C3×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 52 | C3×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 53 | C3×C4×Dic3 | — | 2 | 1 | no | — |
| 54 | C3×#208 | — | 2 | 1 | no | — |
| 55 | (C2×D3)⋊Dic3 | — | 4 | 2 | no | — |
| 56 | #2199 | — | 9 | 1 | no | Sylow |
| 57 | C3×H(5,𝔽2) | — | 3 | 1 | no | — |
| 58 | #1004 | C2×D3 | 1 | 1 | yes | characteristic |
| 59 | C3×#137 | — | 6 | 1 | no | — |
| 60 | C3×#124 | — | 2 | 1 | no | — |
| 61 | C3×#124 | — | 6 | 2 | no | — |
| 62 | C3×#124 | — | 6 | 1 | 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 | — | 3 | 2 | no | — |
| 67 | C3×#120 | — | 6 | 2 | no | — |
| 68 | #953 | — | 6 | 2 | no | — |
| 69 | #947 | — | 2 | 1 | no | — |
| 70 | #942 | — | 2 | 1 | no | — |
| 71 | #937 | — | 6 | 2 | no | — |
| 72 | #937 | C2×D3 | 1 | 2 | yes | — |
| 73 | #885 | — | 2 | 2 | no | — |
| 74 | #882 | — | 2 | 2 | no | — |
| 75 | #875 | — | 2 | 1 | no | — |
| 76 | C3×#104 | — | 6 | 1 | no | — |
| 77 | C3×#100 | — | 3 | 1 | no | — |
| 78 | #834 | — | 3 | 2 | no | — |
| 79 | #834 | — | 3 | 2 | no | — |
| 80 | #834 | — | 6 | 2 | no | — |
| 81 | #834 | — | 6 | 2 | no | — |
| 82 | #833 | C2×D3 | 1 | 1 | yes | characteristic |
| 83 | #806 | — | 6 | 2 | no | — |
| 84 | #805 | — | 2 | 1 | no | — |
| 85 | C23×C32 | C2×D4 | 1 | 2 | yes | — |
| 86 | C22×C3×D3 | — | 2 | 2 | no | — |
| 87 | C22×C3×D3 | — | 2 | 2 | no | — |
| 88 | C22×C3×D3 | — | 4 | 2 | no | — |
| 89 | C22×C3×D3 | — | 8 | 2 | no | — |
| 90 | C32×Q8 | — | 4 | 1 | no | — |
| 91 | C32×D4 | — | 4 | 1 | no | — |
| 92 | C2×C32×C4 | — | 2 | 1 | no | — |
| 93 | C2×C32×C4 | — | 2 | 1 | no | — |
| 94 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 95 | C2×C3⋊Dic3 | — | 4 | 2 | no | — |
| 96 | C3×#67 | — | 4 | 2 | no | — |
| 97 | C3×#67 | — | 4 | 1 | no | — |
| 98 | C3×#67 | — | 8 | 2 | no | — |
| 99 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 100 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 101 | C3×D12 | — | 2 | 1 | no | — |
| 102 | C3×D12 | — | 8 | 1 | no | — |
| 103 | C3×D12 | — | 8 | 1 | no | — |
| 104 | C3×C4×D3 | — | 4 | 1 | no | — |
| 105 | C3×Dic6 | — | 2 | 1 | no | — |
| 106 | C3×Dic6 | — | 8 | 1 | no | — |
| 107 | #625 | — | 8 | 4 | no | — |
| 108 | C3×C3⋊C8 | — | 4 | 1 | no | — |
| 109 | H(3,𝔽4) | — | 3 | 1 | no | — |
| 110 | B(4,𝔽2) | — | 9 | 2 | no | — |
| 111 | #455 | — | 3 | 1 | no | — |
| 112 | #354 | — | 9 | 1 | no | — |
| 113 | AΣL(1,𝔽16) | — | 9 | 2 | no | — |
| 114 | C24×C3 | — | 3 | 2 | no | — |
| 115 | C23×D3 | #67 | 1 | 2 | yes | complemented |
| 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 | #67 | 1 | 1 | yes | characteristic, complemented |
| 121 | C2×C3×Q8 | #67 | 1 | 1 | yes | characteristic, complemented |
| 122 | C2×C3×D4 | — | 2 | 1 | no | — |
| 123 | C2×C3×D4 | — | 6 | 1 | no | — |
| 124 | C2×C3×D4 | — | 6 | 1 | no | — |
| 125 | C2×C3×D4 | — | 6 | 2 | no | — |
| 126 | C2×C3×D4 | — | 6 | 2 | no | — |
| 127 | C2×C3×D4 | — | 12 | 1 | no | — |
| 128 | C2×C3×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 129 | C2×C3×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 130 | C2×#67 | — | 2 | 2 | no | — |
| 131 | C2×#67 | — | 2 | 2 | no | — |
| 132 | C2×#67 | — | 12 | 2 | no | — |
| 133 | C2×#67 | — | 12 | 2 | no | — |
| 134 | #237 | — | 4 | 1 | no | — |
| 135 | D3×D4 | — | 4 | 1 | no | — |
| 136 | #235 | — | 2 | 1 | no | — |
| 137 | C2×D12 | — | 2 | 1 | no | — |
| 138 | C2×D12 | — | 2 | 1 | no | — |
| 139 | C2×Dic6 | — | 2 | 1 | no | — |
| 140 | C3×Q16 | — | 12 | 1 | no | — |
| 141 | C3×SD16 | — | 12 | 1 | no | — |
| 142 | C3×M16 | — | 6 | 1 | no | — |
| 143 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 144 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 145 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 146 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 147 | C3×C22⋊C4 | — | 6 | 2 | no | — |
| 148 | C3×C22⋊C4 | — | 6 | 2 | no | — |
| 149 | C3×C22⋊C4 | — | 6 | 2 | no | — |
| 150 | C3×C42 | — | 2 | 1 | no | — |
| 151 | C3×C42 | — | 6 | 1 | no | — |
| 152 | C3×C42 | #67 | 1 | 1 | yes | characteristic, complemented |
| 153 | C3×C42 | #67 | 1 | 1 | yes | characteristic, complemented |
| 154 | #217 | — | 6 | 2 | no | — |
| 155 | #217 | — | 6 | 2 | no | — |
| 156 | #217 | — | 12 | 2 | no | — |
| 157 | #217 | — | 12 | 2 | no | — |
| 158 | #217 | #67 | 1 | 2 | yes | complemented |
| 159 | #216 | — | 4 | 1 | no | — |
| 160 | #215 | — | 4 | 1 | no | — |
| 161 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 162 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 163 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 164 | (C2×D3)⋊C4 | — | 12 | 2 | no | — |
| 165 | C4×Dic3 | — | 2 | 1 | no | — |
| 166 | #208 | — | 2 | 1 | no | — |
| 167 | C22×C32 | — | 2 | 2 | no | — |
| 168 | C22×C32 | — | 4 | 2 | no | — |
| 169 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 170 | C2×C3×D3 | — | 4 | 2 | no | — |
| 171 | C2×C3×D3 | — | 4 | 2 | no | — |
| 172 | C2×C3×D3 | — | 4 | 4 | no | — |
| 173 | C2×C3×D3 | — | 4 | 1 | no | — |
| 174 | C2×C3×D3 | — | 4 | 2 | no | — |
| 175 | C2×C3×D3 | — | 8 | 2 | no | — |
| 176 | C2×C3×D3 | — | 8 | 2 | no | — |
| 177 | C32×C4 | — | 2 | 1 | no | — |
| 178 | C32×C4 | — | 4 | 1 | no | — |
| 179 | C32×C4 | — | 4 | 1 | no | — |
| 180 | C3⋊Dic3 | — | 8 | 2 | no | — |
| 181 | C3×Dic3 | — | 4 | 2 | no | — |
| 182 | C3×Dic3 | — | 4 | 1 | no | — |
| 183 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 184 | #137 | — | 6 | 1 | no | — |
| 185 | #124 | — | 6 | 2 | no | — |
| 186 | #124 | — | 6 | 1 | no | — |
| 187 | #124 | — | 6 | 1 | no | — |
| 188 | #124 | D32 | 1 | 1 | yes | characteristic |
| 189 | #120 | — | 3 | 2 | no | — |
| 190 | #120 | — | 6 | 2 | no | — |
| 191 | #120 | — | 18 | 2 | no | — |
| 192 | #104 | — | 6 | 1 | no | — |
| 193 | #100 | — | 3 | 1 | no | — |
| 194 | #99 | — | 9 | 2 | no | — |
| 195 | #99 | — | 18 | 2 | no | — |
| 196 | C23×C3 | — | 2 | 2 | no | — |
| 197 | C23×C3 | — | 6 | 2 | no | — |
| 198 | C23×C3 | — | 6 | 2 | no | — |
| 199 | C23×C3 | — | 12 | 2 | no | — |
| 200 | C23×C3 | — | 24 | 2 | no | — |
| 201 | C23×C3 | D3×D4 | 1 | 2 | yes | — |
| 202 | C23×C3 | C2×#67 | 1 | 2 | yes | — |
| 203 | C22×D3 | — | 2 | 2 | no | — |
| 204 | C22×D3 | — | 2 | 2 | no | — |
| 205 | C22×D3 | — | 4 | 2 | no | — |
| 206 | C22×D3 | — | 8 | 2 | no | — |
| 207 | C3×Q8 | — | 4 | 1 | no | — |
| 208 | C3×Q8 | — | 4 | 1 | no | — |
| 209 | C3×Q8 | — | 6 | 1 | no | — |
| 210 | C3×Q8 | — | 8 | 1 | no | — |
| 211 | C3×Q8 | — | 24 | 1 | no | — |
| 212 | C3×D4 | — | 4 | 1 | no | — |
| 213 | C3×D4 | — | 4 | 1 | no | — |
| 214 | C3×D4 | — | 6 | 1 | no | — |
| 215 | C3×D4 | — | 8 | 1 | no | — |
| 216 | C3×D4 | — | 12 | 2 | no | — |
| 217 | C3×D4 | — | 12 | 1 | no | — |
| 218 | C3×D4 | — | 24 | 1 | no | — |
| 219 | C3×D4 | — | 24 | 1 | no | — |
| 220 | C3×D4 | — | 24 | 2 | no | — |
| 221 | C2×C3×C4 | — | 2 | 1 | no | — |
| 222 | C2×C3×C4 | — | 2 | 1 | no | — |
| 223 | C2×C3×C4 | — | 2 | 1 | no | — |
| 224 | C2×C3×C4 | — | 2 | 1 | no | — |
| 225 | C2×C3×C4 | — | 2 | 1 | no | — |
| 226 | C2×C3×C4 | — | 4 | 1 | no | — |
| 227 | C2×C3×C4 | — | 4 | 1 | no | — |
| 228 | C2×C3×C4 | — | 6 | 2 | no | — |
| 229 | C2×C3×C4 | — | 6 | 2 | no | — |
| 230 | C2×C3×C4 | — | 12 | 1 | no | — |
| 231 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 232 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 233 | #67 | — | 4 | 2 | no | — |
| 234 | #67 | — | 4 | 1 | no | — |
| 235 | #67 | — | 8 | 2 | no | — |
| 236 | #67 | — | 24 | 4 | no | — |
| 237 | #67 | — | 24 | 4 | no | — |
| 238 | C2×Dic3 | — | 2 | 2 | no | — |
| 239 | C2×Dic3 | — | 2 | 2 | no | — |
| 240 | C2×Dic3 | — | 12 | 2 | no | — |
| 241 | C2×Dic3 | — | 12 | 2 | no | — |
| 242 | C2×Dic3 | — | 24 | 2 | no | — |
| 243 | D12 | — | 2 | 1 | no | — |
| 244 | D12 | — | 8 | 1 | no | — |
| 245 | D12 | — | 8 | 1 | no | — |
| 246 | C4×D3 | — | 4 | 1 | no | — |
| 247 | Dic6 | — | 2 | 1 | no | — |
| 248 | Dic6 | — | 8 | 1 | no | — |
| 249 | C3×C8 | — | 12 | 1 | no | — |
| 250 | C3⋊C8 | — | 4 | 1 | no | — |
| 251 | C2×C32 | — | 2 | 1 | no | — |
| 252 | C2×C32 | — | 4 | 2 | no | — |
| 253 | C2×C32 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 254 | C3×D3 | — | 8 | 2 | no | — |
| 255 | C3×D3 | — | 8 | 1 | no | — |
| 256 | C24 | — | 3 | 2 | no | — |
| 257 | #41 | — | 6 | 1 | no | — |
| 258 | #41 | — | 12 | 1 | no | — |
| 259 | C2×Q8 | — | 6 | 1 | no | — |
| 260 | C2×Q8 | #625 | 1 | 1 | yes | characteristic, complemented |
| 261 | C2×D4 | — | 6 | 1 | no | — |
| 262 | C2×D4 | — | 6 | 1 | no | — |
| 263 | C2×D4 | — | 6 | 2 | no | — |
| 264 | C2×D4 | — | 6 | 2 | no | — |
| 265 | C2×D4 | — | 12 | 1 | no | — |
| 266 | C2×D4 | — | 36 | 2 | no | — |
| 267 | C2×D4 | C2×D32 | 1 | 1 | yes | characteristic |
| 268 | Q16 | — | 12 | 1 | no | — |
| 269 | SD16 | — | 12 | 1 | no | — |
| 270 | M16 | — | 6 | 1 | no | — |
| 271 | C22⋊C4 | — | 2 | 2 | no | — |
| 272 | C22⋊C4 | — | 3 | 2 | no | — |
| 273 | C22⋊C4 | — | 6 | 2 | no | — |
| 274 | C22⋊C4 | — | 6 | 2 | no | — |
| 275 | C22⋊C4 | — | 6 | 2 | no | — |
| 276 | C22⋊C4 | — | 18 | 2 | no | — |
| 277 | C22⋊C4 | — | 36 | 2 | no | — |
| 278 | C42 | — | 6 | 1 | no | — |
| 279 | C42 | #625 | 1 | 1 | yes | characteristic, complemented |
| 280 | C22×C3 | — | 2 | 2 | no | — |
| 281 | C22×C3 | — | 2 | 2 | no | — |
| 282 | C22×C3 | — | 2 | 1 | no | — |
| 283 | C22×C3 | — | 4 | 2 | no | — |
| 284 | C22×C3 | — | 4 | 2 | no | — |
| 285 | C22×C3 | — | 4 | 2 | no | — |
| 286 | C22×C3 | — | 8 | 2 | no | — |
| 287 | C22×C3 | — | 12 | 2 | no | — |
| 288 | C22×C3 | — | 12 | 2 | no | — |
| 289 | C22×C3 | — | 12 | 4 | no | — |
| 290 | C22×C3 | — | 12 | 1 | no | — |
| 291 | C22×C3 | — | 12 | 2 | no | — |
| 292 | C22×C3 | — | 24 | 2 | no | — |
| 293 | C22×C3 | — | 24 | 2 | no | — |
| 294 | C22×C3 | #937 | 1 | 1 | yes | characteristic |
| 295 | C22×C3 | #953 | 1 | 1 | yes | characteristic |
| 296 | C2×D3 | — | 4 | 2 | no | — |
| 297 | C2×D3 | — | 4 | 2 | no | — |
| 298 | C2×D3 | — | 4 | 4 | no | — |
| 299 | C2×D3 | — | 4 | 2 | no | — |
| 300 | C2×D3 | — | 4 | 1 | no | — |
| 301 | C2×D3 | — | 8 | 2 | no | — |
| 302 | C2×D3 | — | 8 | 2 | no | — |
| 303 | C3×C4 | — | 2 | 1 | no | — |
| 304 | C3×C4 | — | 2 | 1 | no | — |
| 305 | C3×C4 | — | 4 | 1 | no | — |
| 306 | C3×C4 | — | 4 | 1 | no | — |
| 307 | C3×C4 | — | 4 | 1 | no | — |
| 308 | C3×C4 | — | 4 | 1 | no | — |
| 309 | C3×C4 | — | 4 | 1 | no | — |
| 310 | C3×C4 | — | 8 | 1 | no | — |
| 311 | C3×C4 | — | 8 | 1 | no | — |
| 312 | C3×C4 | — | 12 | 2 | no | — |
| 313 | C3×C4 | — | 12 | 1 | no | — |
| 314 | Dic3 | — | 4 | 2 | no | — |
| 315 | Dic3 | — | 4 | 1 | no | — |
| 316 | Dic3 | — | 24 | 2 | no | — |
| 317 | Dic3 | — | 24 | 2 | no | — |
| 318 | Dic3 | — | 48 | 2 | no | — |
| 319 | C32 | #2199 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 320 | C23 | — | 6 | 2 | no | — |
| 321 | C23 | — | 6 | 2 | no | — |
| 322 | C23 | — | 12 | 2 | no | — |
| 323 | C23 | — | 24 | 2 | no | — |
| 324 | C23 | D3×#67 | 1 | 2 | yes | — |
| 325 | Q8 | — | 4 | 1 | no | — |
| 326 | Q8 | — | 6 | 1 | no | — |
| 327 | Q8 | — | 24 | 1 | no | — |
| 328 | D4 | — | 4 | 1 | no | — |
| 329 | D4 | — | 6 | 1 | no | — |
| 330 | D4 | — | 12 | 2 | no | — |
| 331 | D4 | — | 12 | 1 | no | — |
| 332 | D4 | — | 24 | 1 | no | — |
| 333 | D4 | — | 24 | 1 | no | — |
| 334 | D4 | — | 24 | 2 | no | — |
| 335 | D4 | — | 72 | 4 | no | — |
| 336 | C2×C4 | — | 2 | 1 | no | — |
| 337 | C2×C4 | — | 2 | 1 | no | — |
| 338 | C2×C4 | — | 6 | 2 | no | — |
| 339 | C2×C4 | — | 6 | 2 | no | — |
| 340 | C2×C4 | — | 12 | 1 | no | — |
| 341 | C2×C4 | — | 36 | 2 | no | — |
| 342 | C2×C4 | C2×#625 | 1 | 1 | yes | characteristic |
| 343 | C8 | — | 12 | 1 | no | — |
| 344 | C2×C3 | — | 2 | 1 | no | — |
| 345 | C2×C3 | — | 2 | 1 | no | — |
| 346 | C2×C3 | — | 2 | 1 | no | — |
| 347 | C2×C3 | — | 4 | 1 | no | — |
| 348 | C2×C3 | — | 4 | 2 | no | — |
| 349 | C2×C3 | — | 4 | 2 | no | — |
| 350 | C2×C3 | — | 8 | 2 | no | — |
| 351 | C2×C3 | — | 24 | 1 | no | — |
| 352 | C2×C3 | — | 24 | 2 | no | — |
| 353 | C2×C3 | #5032 | 1 | 1 | yes | characteristic |
| 354 | C2×C3 | #5244 | 1 | 1 | yes | characteristic |
| 355 | D3 | — | 8 | 2 | no | — |
| 356 | D3 | — | 8 | 1 | no | — |
| 357 | C22 | — | 2 | 2 | no | — |
| 358 | C22 | — | 4 | 2 | no | — |
| 359 | C22 | — | 12 | 2 | no | — |
| 360 | C22 | — | 12 | 2 | no | — |
| 361 | C22 | — | 12 | 4 | no | — |
| 362 | C22 | — | 12 | 1 | no | — |
| 363 | C22 | — | 12 | 2 | no | — |
| 364 | C22 | — | 24 | 2 | no | — |
| 365 | C22 | — | 24 | 2 | no | — |
| 366 | C22 | #63976 | 1 | 1 | yes | characteristic |
| 367 | C4 | — | 2 | 1 | no | — |
| 368 | C4 | — | 4 | 1 | no | — |
| 369 | C4 | — | 4 | 1 | no | — |
| 370 | C4 | — | 12 | 2 | no | — |
| 371 | C4 | — | 12 | 1 | no | — |
| 372 | C4 | — | 72 | 2 | no | — |
| 373 | C3 | — | 2 | 1 | no | — |
| 374 | C3 | #70991 | 1 | 1 | yes | characteristic, complemented |
| 375 | C3 | #71950 | 1 | 1 | yes | characteristic, complemented |
| 376 | C2 | — | 2 | 1 | no | — |
| 377 | C2 | — | 4 | 2 | no | — |
| 378 | C2 | — | 24 | 2 | no | — |
| 379 | C2 | — | 24 | 1 | no | — |
| 380 | 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×#5061 | C2 | semidirect |
| 3. #10591530 | C2 | semidirect |
| 4. #10589407 | C2 | semidirect |
| 5. #10589173 | C2 | semidirect |
| 22. #5683 | D3 | semidirect |
| 25. #5061 | D3 | semidirect |
| 32. C23×C3×D3 | D4 | semidirect |
| 33. C2×C32×Q8 | D4 | semidirect |
| 45. C32×C42 | D4 | semidirect |
| 47. C3×#217 | D4 | semidirect |
| 115. C23×D3 | #67 | semidirect |
| 120. C2×C3×Q8 | #67 | semidirect |
| 121. C2×C3×Q8 | #67 | semidirect |
| 152. C3×C42 | #67 | semidirect |
| 153. C3×C42 | #67 | semidirect |
| 158. #217 | #67 | semidirect |
| 260. C2×Q8 | #625 | semidirect |
| 279. C42 | #625 | semidirect |
| 319. C32 | #2199 | semidirect |
| 374. C3 | #70991 | semidirect |
| 375. C3 | #71950 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#5683 | 2 |
| C3×#5061 | 2 |
| #10591530 | 2 |
| #10589407 | 2 |
| #10589173 | 2 |
| #71950 | 3 |
| #70991 | 3 |