Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1519 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 1519 conjugacy classes of subgroups — too many to draw. Only its 127 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×#1007⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#64264 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C3×#983 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10596446 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10596445 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | D3×#983 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10596440 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10596439 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10596435 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #87496 | — | 3 | 1 | no | maximal |
| 11 | #87197 | — | 3 | 1 | no | maximal |
| 12 | C22×C3×SL(2,𝔽3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | #64330 | — | 4 | 1 | no | maximal |
| 14 | #1007⋊C3 | C22 | 1 | 2 | yes | complemented |
| 15 | #1007⋊C3 | C22 | 1 | 2 | yes | complemented |
| 16 | C2×D3×SL(2,𝔽3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | C2×C3⋊(#41⋊C3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #64264 | C22 | 1 | 2 | yes | complemented |
| 19 | #64264 | C22 | 1 | 2 | yes | complemented |
| 20 | C2×C3⋊GL(2,𝔽3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×C3⋊#226 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C3×#983 | C22 | 1 | 2 | yes | complemented |
| 23 | C3×#983 | C22 | 1 | 2 | yes | complemented |
| 24 | C2×C3×GL(2,𝔽3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×C3×#226 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | D3×GL(2,𝔽3) | C22 | 1 | 2 | yes | complemented |
| 27 | #64202 | C22 | 1 | 2 | yes | complemented |
| 28 | #64201 | C22 | 1 | 2 | yes | complemented |
| 29 | D3×#226 | C22 | 1 | 2 | yes | complemented |
| 30 | #64199 | C22 | 1 | 2 | yes | complemented |
| 31 | #64198 | C22 | 1 | 2 | yes | complemented |
| 32 | #64197 | C22 | 1 | 2 | yes | complemented |
| 33 | #64196 | C22 | 1 | 2 | yes | complemented |
| 34 | #5964 | — | 3 | 1 | no | — |
| 35 | C2×#1007 | D3 | 1 | 1 | yes | characteristic, complemented |
| 36 | C2×2−1+4⋊C3 | — | 3 | 1 | no | — |
| 37 | #5927 | — | 3 | 2 | no | — |
| 38 | #5927 | — | 3 | 2 | no | — |
| 39 | #5926 | — | 3 | 2 | no | — |
| 40 | #5926 | — | 3 | 2 | no | — |
| 41 | #5923 | — | 3 | 2 | no | — |
| 42 | C2×#983 | — | 3 | 1 | no | — |
| 43 | C2×#983 | — | 3 | 2 | no | — |
| 44 | C2×#983 | — | 6 | 1 | no | — |
| 45 | C2×#983 | D3 | 1 | 1 | yes | characteristic, complemented |
| 46 | C2×C3×#137 | — | 3 | 1 | no | — |
| 47 | #5822 | — | 3 | 1 | no | — |
| 48 | C2×#942 | — | 3 | 1 | no | — |
| 49 | #5779 | — | 3 | 2 | no | — |
| 50 | #5779 | — | 3 | 2 | no | — |
| 51 | #5778 | — | 3 | 2 | no | — |
| 52 | #5778 | — | 3 | 2 | no | — |
| 53 | #5777 | — | 3 | 2 | no | — |
| 54 | #5777 | — | 3 | 2 | no | — |
| 55 | D3×#137 | — | 3 | 2 | no | — |
| 56 | D3×#137 | — | 3 | 2 | no | — |
| 57 | #5766 | — | 3 | 2 | no | — |
| 58 | #5766 | — | 3 | 2 | no | — |
| 59 | #5762 | — | 3 | 2 | no | — |
| 60 | #5762 | — | 3 | 2 | no | — |
| 61 | #5748 | — | 3 | 1 | no | — |
| 62 | #5745 | — | 3 | 1 | no | — |
| 63 | C2×#638 | — | 4 | 1 | no | — |
| 64 | C2×C3×#67 | — | 4 | 1 | no | — |
| 65 | C2×C3×#67 | — | 4 | 1 | no | — |
| 66 | C2×C3×SL(2,𝔽3) | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×C3×SL(2,𝔽3) | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×C3×SL(2,𝔽3) | C23 | 1 | 1 | yes | characteristic |
| 69 | #3811 | — | 4 | 2 | no | — |
| 70 | D3×#67 | — | 4 | 2 | no | — |
| 71 | D3×#67 | — | 4 | 2 | no | — |
| 72 | #3805 | — | 4 | 2 | no | — |
| 73 | #3804 | — | 4 | 2 | no | — |
| 74 | #3804 | — | 4 | 2 | no | — |
| 75 | D3×SL(2,𝔽3) | C23 | 1 | 2 | yes | — |
| 76 | C3⋊(#41⋊C3) | C23 | 1 | 2 | yes | — |
| 77 | C3⋊GL(2,𝔽3) | C23 | 1 | 2 | yes | — |
| 78 | C3⋊#226 | C23 | 1 | 2 | yes | — |
| 79 | C3×GL(2,𝔽3) | C23 | 1 | 2 | yes | — |
| 80 | C3×#226 | C23 | 1 | 2 | yes | — |
| 81 | #3586 | — | 9 | 1 | no | Sylow |
| 82 | C2×C3×#41 | — | 3 | 1 | no | — |
| 83 | C22×C3×Q8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 84 | #1010 | — | 3 | 2 | no | — |
| 85 | #1010 | — | 6 | 1 | no | — |
| 86 | #1009 | — | 3 | 2 | no | — |
| 87 | #1009 | — | 6 | 1 | no | — |
| 88 | D3×#41 | — | 3 | 2 | no | — |
| 89 | D3×#41 | — | 3 | 2 | no | — |
| 90 | D3×#41 | — | 6 | 2 | no | — |
| 91 | #1007 | — | 3 | 2 | no | — |
| 92 | #1007 | — | 3 | 2 | no | — |
| 93 | #1007 | — | 3 | 2 | no | — |
| 94 | #1007 | C2×D3 | 1 | 2 | yes | complemented |
| 95 | #1007 | C2×D3 | 1 | 2 | yes | complemented |
| 96 | C2×#239 | — | 3 | 1 | no | — |
| 97 | C2×#239 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 98 | C2×D3×Q8 | — | 3 | 1 | no | — |
| 99 | C2×D3×Q8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 100 | #1004 | — | 3 | 2 | no | — |
| 101 | #1004 | — | 6 | 1 | no | — |
| 102 | #1004 | — | 6 | 1 | no | — |
| 103 | #1004 | — | 12 | 1 | no | — |
| 104 | C2×#235 | — | 3 | 1 | no | — |
| 105 | C2×#235 | — | 3 | 1 | no | — |
| 106 | C2×#235 | — | 3 | 1 | no | — |
| 107 | C2×#235 | — | 6 | 2 | no | — |
| 108 | 2−1+4⋊C3 | — | 3 | 2 | no | — |
| 109 | 2−1+4⋊C3 | — | 3 | 2 | no | — |
| 110 | C2×#41⋊C3 | — | 3 | 1 | no | — |
| 111 | C22×SL(2,𝔽3) | — | 2 | 1 | no | — |
| 112 | C22×SL(2,𝔽3) | — | 3 | 1 | no | — |
| 113 | C22×SL(2,𝔽3) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 114 | #986 | — | 3 | 2 | no | — |
| 115 | #985 | — | 3 | 2 | no | — |
| 116 | #985 | — | 3 | 2 | no | — |
| 117 | #984 | — | 3 | 2 | no | — |
| 118 | #983 | — | 3 | 2 | no | — |
| 119 | #983 | — | 3 | 2 | no | — |
| 120 | #983 | — | 3 | 2 | no | — |
| 121 | #983 | — | 3 | 2 | no | — |
| 122 | #983 | — | 6 | 2 | no | — |
| 123 | #983 | — | 6 | 2 | no | — |
| 124 | #983 | C2×D3 | 1 | 2 | yes | complemented |
| 125 | #983 | C2×D3 | 1 | 2 | yes | complemented |
| 126 | C2×GL(2,𝔽3) | — | 3 | 1 | no | — |
| 127 | C2×GL(2,𝔽3) | — | 3 | 2 | no | — |
| 128 | C2×GL(2,𝔽3) | — | 6 | 1 | no | — |
| 129 | C2×GL(2,𝔽3) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 130 | C2×#226 | — | 3 | 1 | no | — |
| 131 | C2×#226 | — | 3 | 2 | no | — |
| 132 | C2×#226 | — | 6 | 1 | no | — |
| 133 | C2×#226 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 134 | C3×#137 | — | 3 | 2 | no | — |
| 135 | C3×#137 | — | 3 | 2 | no | — |
| 136 | C3×#137 | — | 3 | 2 | no | — |
| 137 | C3×#137 | — | 3 | 2 | no | — |
| 138 | C2×C3×Q16 | — | 3 | 1 | no | — |
| 139 | C2×C3×Q16 | — | 3 | 1 | no | — |
| 140 | C2×C3×SD16 | — | 3 | 1 | no | — |
| 141 | C2×C3×SD16 | — | 3 | 1 | no | — |
| 142 | C2×C3×M16 | — | 3 | 1 | no | — |
| 143 | #951 | — | 3 | 2 | no | — |
| 144 | #950 | — | 3 | 2 | no | — |
| 145 | #950 | — | 3 | 2 | no | — |
| 146 | #949 | — | 3 | 2 | no | — |
| 147 | C2×#216 | — | 3 | 1 | no | — |
| 148 | C2×#216 | — | 3 | 1 | no | — |
| 149 | #942 | — | 3 | 2 | no | — |
| 150 | #942 | — | 3 | 2 | no | — |
| 151 | #942 | — | 3 | 2 | no | — |
| 152 | #942 | — | 3 | 2 | no | — |
| 153 | #942 | — | 3 | 2 | no | — |
| 154 | C2×#215 | — | 3 | 1 | no | — |
| 155 | C2×#215 | — | 3 | 1 | no | — |
| 156 | #932 | — | 3 | 2 | no | — |
| 157 | C2×#208 | — | 3 | 1 | no | — |
| 158 | #919 | — | 3 | 2 | no | — |
| 159 | #919 | — | 3 | 2 | no | — |
| 160 | #919 | — | 3 | 2 | no | — |
| 161 | #919 | — | 3 | 2 | no | — |
| 162 | #918 | — | 3 | 2 | no | — |
| 163 | #918 | — | 3 | 2 | no | — |
| 164 | #918 | — | 3 | 2 | no | — |
| 165 | #918 | — | 3 | 2 | no | — |
| 166 | #918 | — | 3 | 2 | no | — |
| 167 | #918 | — | 3 | 2 | no | — |
| 168 | #918 | — | 3 | 2 | no | — |
| 169 | #918 | — | 3 | 2 | no | — |
| 170 | D3×Q16 | — | 3 | 2 | no | — |
| 171 | D3×Q16 | — | 3 | 2 | no | — |
| 172 | D3×Q16 | — | 3 | 2 | no | — |
| 173 | D3×Q16 | — | 3 | 2 | no | — |
| 174 | #916 | — | 3 | 2 | no | — |
| 175 | #916 | — | 3 | 2 | no | — |
| 176 | #916 | — | 3 | 2 | no | — |
| 177 | #916 | — | 3 | 2 | no | — |
| 178 | #915 | — | 3 | 2 | no | — |
| 179 | #915 | — | 3 | 2 | no | — |
| 180 | #915 | — | 3 | 2 | no | — |
| 181 | #915 | — | 3 | 2 | no | — |
| 182 | #914 | — | 3 | 2 | no | — |
| 183 | #914 | — | 3 | 2 | no | — |
| 184 | #914 | — | 3 | 2 | no | — |
| 185 | #914 | — | 3 | 2 | no | — |
| 186 | D3×SD16 | — | 3 | 2 | no | — |
| 187 | D3×SD16 | — | 3 | 2 | no | — |
| 188 | D3×SD16 | — | 3 | 2 | no | — |
| 189 | D3×SD16 | — | 3 | 2 | no | — |
| 190 | #909 | — | 3 | 2 | no | — |
| 191 | #909 | — | 3 | 2 | no | — |
| 192 | #908 | — | 3 | 2 | no | — |
| 193 | #908 | — | 3 | 2 | no | — |
| 194 | #907 | — | 3 | 2 | no | — |
| 195 | #907 | — | 3 | 2 | no | — |
| 196 | D3×M16 | — | 3 | 2 | no | — |
| 197 | D3×M16 | — | 3 | 2 | no | — |
| 198 | #904 | — | 3 | 2 | no | — |
| 199 | #904 | — | 3 | 2 | no | — |
| 200 | #901 | — | 3 | 2 | no | — |
| 201 | #901 | — | 3 | 2 | no | — |
| 202 | C23×C32 | — | 4 | 1 | no | — |
| 203 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 204 | C22×C3×D3 | — | 4 | 1 | no | — |
| 205 | C22×C3×D3 | — | 4 | 1 | no | — |
| 206 | C2×D32 | — | 4 | 2 | no | — |
| 207 | #638 | — | 4 | 2 | no | — |
| 208 | #638 | — | 4 | 2 | no | — |
| 209 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 210 | C3×#67 | — | 4 | 2 | no | — |
| 211 | C3×#67 | — | 4 | 2 | no | — |
| 212 | C3×#67 | — | 4 | 2 | no | — |
| 213 | C3×#67 | — | 4 | 2 | no | — |
| 214 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 215 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 216 | C3×SL(2,𝔽3) | C24 | 1 | 1 | yes | characteristic |
| 217 | #627 | — | 4 | 2 | no | — |
| 218 | #626 | — | 4 | 2 | no | — |
| 219 | #626 | — | 4 | 2 | no | — |
| 220 | #625 | — | 4 | 2 | no | — |
| 221 | #624 | — | 4 | 2 | no | — |
| 222 | D3×Dic3 | — | 4 | 2 | no | — |
| 223 | D3×Dic3 | — | 4 | 2 | no | — |
| 224 | #585 | — | 9 | 1 | no | — |
| 225 | C2×2−1+4 | — | 3 | 1 | no | — |
| 226 | #578 | — | 9 | 2 | no | — |
| 227 | #578 | — | 9 | 2 | no | — |
| 228 | #578 | — | 9 | 2 | no | — |
| 229 | #578 | — | 9 | 2 | no | — |
| 230 | #577 | — | 9 | 2 | no | — |
| 231 | #577 | — | 9 | 2 | no | — |
| 232 | #577 | — | 9 | 2 | no | — |
| 233 | #577 | — | 9 | 2 | no | — |
| 234 | #575 | — | 9 | 1 | no | — |
| 235 | #575 | — | 9 | 2 | no | — |
| 236 | #575 | — | 9 | 2 | no | — |
| 237 | #575 | — | 9 | 1 | no | — |
| 238 | C2×#137 | — | 3 | 1 | no | — |
| 239 | C2×#137 | — | 9 | 2 | no | — |
| 240 | C2×#137 | — | 9 | 2 | no | — |
| 241 | C2×#137 | — | 9 | 1 | no | — |
| 242 | #568 | — | 9 | 1 | no | — |
| 243 | C3×#41 | — | 3 | 2 | no | — |
| 244 | C3×#41 | — | 3 | 2 | no | — |
| 245 | C3×#41 | — | 6 | 1 | no | — |
| 246 | C3×#41 | — | 6 | 1 | no | — |
| 247 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 248 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 249 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 250 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 251 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 252 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 253 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 254 | C2×C3×D4 | — | 3 | 1 | no | — |
| 255 | C2×C3×D4 | — | 6 | 1 | no | — |
| 256 | C2×C3×D4 | — | 12 | 1 | no | — |
| 257 | C22×C3×C4 | — | 3 | 1 | no | — |
| 258 | C22×C3×C4 | — | 6 | 1 | no | — |
| 259 | C2×#67 | — | 3 | 1 | no | — |
| 260 | C2×#67 | — | 4 | 1 | no | — |
| 261 | C2×#67 | — | 6 | 2 | no | — |
| 262 | C2×#67 | — | 6 | 1 | no | — |
| 263 | C2×#67 | — | 6 | 2 | no | — |
| 264 | C2×#67 | — | 12 | 2 | no | — |
| 265 | C2×#67 | — | 12 | 1 | no | — |
| 266 | C2×#67 | — | 24 | 1 | no | — |
| 267 | C2×#67 | S4 | 1 | 1 | yes | characteristic |
| 268 | #239 | — | 3 | 2 | no | — |
| 269 | #239 | — | 3 | 2 | no | — |
| 270 | #239 | — | 3 | 2 | no | — |
| 271 | #239 | — | 3 | 2 | no | — |
| 272 | #239 | — | 3 | 2 | no | — |
| 273 | #239 | — | 6 | 2 | no | — |
| 274 | #239 | — | 6 | 2 | no | — |
| 275 | #239 | C22×D3 | 1 | 2 | yes | — |
| 276 | D3×Q8 | — | 3 | 2 | no | — |
| 277 | D3×Q8 | — | 3 | 2 | no | — |
| 278 | D3×Q8 | — | 3 | 2 | no | — |
| 279 | D3×Q8 | — | 3 | 2 | no | — |
| 280 | D3×Q8 | — | 3 | 2 | no | — |
| 281 | D3×Q8 | — | 6 | 2 | no | — |
| 282 | D3×Q8 | — | 6 | 2 | no | — |
| 283 | D3×Q8 | C22×D3 | 1 | 2 | yes | — |
| 284 | #237 | — | 3 | 2 | no | — |
| 285 | #237 | — | 3 | 2 | no | — |
| 286 | #237 | — | 6 | 2 | no | — |
| 287 | #237 | — | 6 | 2 | no | — |
| 288 | #237 | — | 6 | 2 | no | — |
| 289 | #237 | — | 6 | 2 | no | — |
| 290 | #237 | — | 6 | 2 | no | — |
| 291 | #237 | — | 12 | 2 | no | — |
| 292 | #237 | — | 12 | 2 | no | — |
| 293 | D3×D4 | — | 3 | 2 | no | — |
| 294 | D3×D4 | — | 3 | 2 | no | — |
| 295 | D3×D4 | — | 6 | 2 | no | — |
| 296 | D3×D4 | — | 6 | 2 | no | — |
| 297 | D3×D4 | — | 6 | 2 | no | — |
| 298 | D3×D4 | — | 6 | 2 | no | — |
| 299 | D3×D4 | — | 6 | 2 | no | — |
| 300 | D3×D4 | — | 12 | 2 | no | — |
| 301 | D3×D4 | — | 12 | 2 | no | — |
| 302 | #235 | — | 3 | 2 | no | — |
| 303 | #235 | — | 3 | 2 | no | — |
| 304 | #235 | — | 3 | 2 | no | — |
| 305 | #235 | — | 3 | 2 | no | — |
| 306 | #235 | — | 3 | 2 | no | — |
| 307 | #235 | — | 3 | 2 | no | — |
| 308 | #235 | — | 3 | 2 | no | — |
| 309 | #235 | — | 3 | 2 | no | — |
| 310 | #235 | — | 6 | 2 | no | — |
| 311 | #235 | — | 6 | 2 | no | — |
| 312 | #235 | — | 6 | 2 | no | — |
| 313 | #235 | — | 6 | 2 | no | — |
| 314 | #235 | — | 6 | 1 | no | — |
| 315 | #235 | — | 6 | 1 | no | — |
| 316 | #235 | — | 6 | 2 | no | — |
| 317 | #235 | — | 6 | 1 | no | — |
| 318 | #235 | — | 6 | 1 | no | — |
| 319 | #235 | — | 6 | 2 | no | — |
| 320 | #235 | — | 12 | 2 | no | — |
| 321 | C2×D12 | — | 3 | 1 | no | — |
| 322 | C2×D12 | — | 3 | 1 | no | — |
| 323 | C2×D12 | — | 3 | 1 | no | — |
| 324 | C2×D12 | — | 6 | 2 | no | — |
| 325 | C2×C4×D3 | — | 3 | 1 | no | — |
| 326 | C2×C4×D3 | — | 3 | 1 | no | — |
| 327 | C2×C4×D3 | — | 6 | 2 | no | — |
| 328 | C2×C4×D3 | — | 6 | 2 | no | — |
| 329 | C2×C4×D3 | — | 6 | 1 | no | — |
| 330 | C2×C4×D3 | — | 6 | 1 | no | — |
| 331 | C2×Dic6 | — | 3 | 1 | no | — |
| 332 | C2×Dic6 | — | 3 | 1 | no | — |
| 333 | C2×Dic6 | — | 3 | 1 | no | — |
| 334 | C2×Dic6 | — | 6 | 2 | no | — |
| 335 | #41⋊C3 | — | 3 | 2 | no | — |
| 336 | C2×SL(2,𝔽3) | — | 2 | 1 | no | — |
| 337 | C2×SL(2,𝔽3) | — | 2 | 1 | no | — |
| 338 | C2×SL(2,𝔽3) | — | 2 | 1 | no | — |
| 339 | C2×SL(2,𝔽3) | — | 3 | 2 | no | — |
| 340 | C2×SL(2,𝔽3) | C22×D3 | 1 | 1 | yes | characteristic |
| 341 | C2×SL(2,𝔽3) | C22×D3 | 1 | 1 | yes | characteristic |
| 342 | C2×SL(2,𝔽3) | C22×D3 | 1 | 1 | yes | characteristic |
| 343 | GL(2,𝔽3) | — | 3 | 2 | no | — |
| 344 | GL(2,𝔽3) | — | 6 | 2 | no | — |
| 345 | GL(2,𝔽3) | C22×D3 | 1 | 2 | yes | — |
| 346 | #226 | — | 3 | 2 | no | — |
| 347 | #226 | — | 6 | 2 | no | — |
| 348 | #226 | C22×D3 | 1 | 2 | yes | — |
| 349 | C3×Q16 | — | 3 | 2 | no | — |
| 350 | C3×Q16 | — | 3 | 2 | no | — |
| 351 | C3×Q16 | — | 3 | 2 | no | — |
| 352 | C3×Q16 | — | 3 | 2 | no | — |
| 353 | C3×SD16 | — | 3 | 2 | no | — |
| 354 | C3×SD16 | — | 3 | 2 | no | — |
| 355 | C3×SD16 | — | 3 | 2 | no | — |
| 356 | C3×SD16 | — | 3 | 2 | no | — |
| 357 | C3×M16 | — | 3 | 2 | no | — |
| 358 | C3×M16 | — | 3 | 2 | no | — |
| 359 | C2×C3×C8 | — | 3 | 1 | no | — |
| 360 | C2×C3×C8 | — | 3 | 1 | no | — |
| 361 | #216 | — | 3 | 2 | no | — |
| 362 | #216 | — | 3 | 2 | no | — |
| 363 | #216 | — | 3 | 2 | no | — |
| 364 | #216 | — | 3 | 2 | no | — |
| 365 | #216 | — | 3 | 2 | no | — |
| 366 | #216 | — | 3 | 2 | no | — |
| 367 | #215 | — | 3 | 2 | no | — |
| 368 | #215 | — | 3 | 2 | no | — |
| 369 | #215 | — | 3 | 2 | no | — |
| 370 | #215 | — | 3 | 2 | no | — |
| 371 | #215 | — | 3 | 2 | no | — |
| 372 | #215 | — | 3 | 2 | no | — |
| 373 | #214 | — | 3 | 2 | no | — |
| 374 | #214 | — | 3 | 2 | no | — |
| 375 | #213 | — | 3 | 2 | no | — |
| 376 | #213 | — | 3 | 2 | no | — |
| 377 | #208 | — | 3 | 2 | no | — |
| 378 | #208 | — | 3 | 2 | no | — |
| 379 | C2×C3⋊C8 | — | 3 | 1 | no | — |
| 380 | C2×C3⋊C8 | — | 3 | 1 | no | — |
| 381 | Dic12 | — | 3 | 2 | no | — |
| 382 | Dic12 | — | 3 | 2 | no | — |
| 383 | D24 | — | 3 | 2 | no | — |
| 384 | D24 | — | 3 | 2 | no | — |
| 385 | #204 | — | 3 | 2 | no | — |
| 386 | #204 | — | 3 | 2 | no | — |
| 387 | #204 | — | 3 | 2 | no | — |
| 388 | #204 | — | 3 | 2 | no | — |
| 389 | ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 390 | ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 391 | ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 392 | ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 393 | D3×C8 | — | 3 | 2 | no | — |
| 394 | D3×C8 | — | 3 | 2 | no | — |
| 395 | D3×C8 | — | 3 | 2 | no | — |
| 396 | D3×C8 | — | 3 | 2 | no | — |
| 397 | C22×C32 | — | 4 | 1 | no | — |
| 398 | C22×C32 | — | 4 | 1 | no | — |
| 399 | C22×C32 | — | 4 | 1 | no | — |
| 400 | C22×C32 | — | 16 | 1 | no | — |
| 401 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 402 | C2×C3⋊D3 | — | 16 | 1 | no | — |
| 403 | C2×C3×D3 | — | 4 | 2 | no | — |
| 404 | C2×C3×D3 | — | 4 | 2 | no | — |
| 405 | C2×C3×D3 | — | 16 | 1 | no | — |
| 406 | C2×C3×D3 | — | 16 | 1 | no | — |
| 407 | D32 | — | 16 | 2 | no | — |
| 408 | C3⋊Dic3 | — | 4 | 2 | no | — |
| 409 | C3×Dic3 | — | 4 | 2 | no | — |
| 410 | C3×Dic3 | — | 4 | 2 | no | — |
| 411 | 2−1+4 | — | 3 | 2 | no | — |
| 412 | 2−1+4 | — | 3 | 2 | no | — |
| 413 | 2−1+4 | — | 9 | 2 | no | — |
| 414 | 2−1+4 | — | 9 | 2 | no | — |
| 415 | 2−1+4 | — | 9 | 2 | no | — |
| 416 | 2−1+4 | — | 9 | 2 | no | — |
| 417 | 2−1+4 | — | 18 | 1 | no | — |
| 418 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 419 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 420 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 421 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 422 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 423 | C2×#41 | — | 3 | 1 | no | — |
| 424 | C2×#41 | — | 3 | 1 | no | — |
| 425 | C2×#41 | — | 9 | 1 | no | — |
| 426 | C2×#41 | — | 9 | 1 | no | — |
| 427 | C2×#41 | — | 9 | 1 | no | — |
| 428 | C2×#41 | — | 9 | 1 | no | — |
| 429 | C2×#41 | — | 9 | 2 | no | — |
| 430 | C2×#41 | — | 9 | 2 | no | — |
| 431 | C2×#41 | — | 18 | 2 | no | — |
| 432 | C2×#41 | — | 18 | 2 | no | — |
| 433 | C22×Q8 | — | 3 | 1 | no | — |
| 434 | C22×Q8 | — | 9 | 1 | no | — |
| 435 | C22×Q8 | D32 | 1 | 1 | yes | characteristic, complemented |
| 436 | #137 | — | 3 | 2 | no | — |
| 437 | #137 | — | 3 | 2 | no | — |
| 438 | #137 | — | 3 | 2 | no | — |
| 439 | #137 | — | 3 | 2 | no | — |
| 440 | #137 | — | 9 | 2 | no | — |
| 441 | #137 | — | 9 | 2 | no | — |
| 442 | #137 | — | 9 | 2 | no | — |
| 443 | #137 | — | 9 | 2 | no | — |
| 444 | #137 | — | 9 | 2 | no | — |
| 445 | #137 | — | 9 | 2 | no | — |
| 446 | #137 | — | 9 | 2 | no | — |
| 447 | #137 | — | 9 | 2 | no | — |
| 448 | #137 | — | 9 | 2 | no | — |
| 449 | #137 | — | 9 | 2 | no | — |
| 450 | #137 | — | 9 | 2 | no | — |
| 451 | #137 | — | 9 | 2 | no | — |
| 452 | #137 | — | 9 | 2 | no | — |
| 453 | #137 | — | 9 | 2 | no | — |
| 454 | #137 | — | 9 | 2 | no | — |
| 455 | #137 | — | 9 | 2 | no | — |
| 456 | #137 | — | 9 | 2 | no | — |
| 457 | #137 | — | 9 | 2 | no | — |
| 458 | #137 | — | 9 | 2 | no | — |
| 459 | #137 | — | 9 | 2 | no | — |
| 460 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 461 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 462 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 463 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 464 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 465 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 466 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 467 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 468 | #135 | — | 9 | 2 | no | — |
| 469 | #135 | — | 9 | 2 | no | — |
| 470 | #135 | — | 9 | 2 | no | — |
| 471 | #135 | — | 9 | 2 | no | — |
| 472 | #135 | — | 9 | 2 | no | — |
| 473 | #135 | — | 9 | 2 | no | — |
| 474 | #135 | — | 9 | 2 | no | — |
| 475 | #135 | — | 9 | 2 | no | — |
| 476 | #135 | — | 9 | 2 | no | — |
| 477 | #135 | — | 9 | 2 | no | — |
| 478 | #135 | — | 9 | 2 | no | — |
| 479 | #135 | — | 9 | 2 | no | — |
| 480 | C2×Q16 | — | 3 | 1 | no | — |
| 481 | C2×Q16 | — | 3 | 1 | no | — |
| 482 | C2×Q16 | — | 9 | 2 | no | — |
| 483 | C2×Q16 | — | 9 | 2 | no | — |
| 484 | C2×Q16 | — | 9 | 2 | no | — |
| 485 | C2×Q16 | — | 9 | 2 | no | — |
| 486 | C2×Q16 | — | 9 | 1 | no | — |
| 487 | C2×Q16 | — | 9 | 1 | no | — |
| 488 | C2×SD16 | — | 3 | 1 | no | — |
| 489 | C2×SD16 | — | 3 | 1 | no | — |
| 490 | C2×SD16 | — | 9 | 2 | no | — |
| 491 | C2×SD16 | — | 9 | 2 | no | — |
| 492 | C2×SD16 | — | 9 | 2 | no | — |
| 493 | C2×SD16 | — | 9 | 2 | no | — |
| 494 | C2×SD16 | — | 9 | 1 | no | — |
| 495 | C2×SD16 | — | 9 | 1 | no | — |
| 496 | #131 | — | 9 | 2 | no | — |
| 497 | #131 | — | 9 | 2 | no | — |
| 498 | #131 | — | 9 | 2 | no | — |
| 499 | #131 | — | 9 | 2 | no | — |
| 500 | C2×M16 | — | 3 | 1 | no | — |
| 501 | C2×M16 | — | 9 | 2 | no | — |
| 502 | C2×M16 | — | 9 | 2 | no | — |
| 503 | C2×M16 | — | 9 | 1 | no | — |
| 504 | C23×C3 | — | 4 | 1 | no | — |
| 505 | C23×C3 | — | 6 | 1 | no | — |
| 506 | C23×C3 | — | 8 | 1 | no | — |
| 507 | C23×C3 | — | 12 | 1 | no | — |
| 508 | C23×C3 | C2×S4 | 1 | 1 | yes | characteristic |
| 509 | C22×D3 | — | 3 | 1 | no | — |
| 510 | C22×D3 | — | 4 | 1 | no | — |
| 511 | C22×D3 | — | 6 | 2 | no | — |
| 512 | C22×D3 | — | 6 | 1 | no | — |
| 513 | C22×D3 | — | 6 | 2 | no | — |
| 514 | C22×D3 | — | 12 | 2 | no | — |
| 515 | C22×D3 | — | 12 | 1 | no | — |
| 516 | C22×D3 | — | 24 | 1 | no | — |
| 517 | C22×D3 | C2×S4 | 1 | 1 | yes | characteristic |
| 518 | C3×Q8 | — | 3 | 1 | no | — |
| 519 | C3×Q8 | — | 3 | 1 | no | — |
| 520 | C3×Q8 | — | 3 | 1 | no | — |
| 521 | C3×Q8 | — | 3 | 2 | no | — |
| 522 | C3×Q8 | — | 6 | 1 | no | — |
| 523 | C3×Q8 | — | 6 | 1 | no | — |
| 524 | C3×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 525 | C3×D4 | — | 3 | 2 | no | — |
| 526 | C3×D4 | — | 6 | 1 | no | — |
| 527 | C3×D4 | — | 6 | 2 | no | — |
| 528 | C3×D4 | — | 6 | 2 | no | — |
| 529 | C3×D4 | — | 12 | 2 | no | — |
| 530 | C3×D4 | — | 12 | 2 | no | — |
| 531 | C2×C3×C4 | — | 3 | 1 | no | — |
| 532 | C2×C3×C4 | — | 3 | 1 | no | — |
| 533 | C2×C3×C4 | — | 3 | 1 | no | — |
| 534 | C2×C3×C4 | — | 3 | 1 | no | — |
| 535 | C2×C3×C4 | — | 3 | 1 | no | — |
| 536 | C2×C3×C4 | — | 3 | 1 | no | — |
| 537 | C2×C3×C4 | — | 6 | 2 | no | — |
| 538 | C2×C3×C4 | — | 6 | 2 | no | — |
| 539 | C2×C3×C4 | — | 6 | 1 | no | — |
| 540 | C2×C3×C4 | — | 12 | 1 | no | — |
| 541 | #67 | — | 3 | 2 | no | — |
| 542 | #67 | — | 3 | 2 | no | — |
| 543 | #67 | — | 4 | 2 | no | — |
| 544 | #67 | — | 4 | 2 | no | — |
| 545 | #67 | — | 6 | 2 | no | — |
| 546 | #67 | — | 6 | 2 | no | — |
| 547 | #67 | — | 6 | 2 | no | — |
| 548 | #67 | — | 6 | 2 | no | — |
| 549 | #67 | — | 6 | 2 | no | — |
| 550 | #67 | — | 6 | 2 | no | — |
| 551 | #67 | — | 12 | 2 | no | — |
| 552 | #67 | — | 12 | 2 | no | — |
| 553 | #67 | — | 12 | 2 | no | — |
| 554 | #67 | — | 12 | 2 | no | — |
| 555 | #67 | — | 24 | 2 | no | — |
| 556 | #67 | — | 24 | 2 | no | — |
| 557 | #67 | C2×S4 | 1 | 2 | yes | — |
| 558 | #67 | C2×S4 | 1 | 2 | yes | — |
| 559 | C2×Dic3 | — | 3 | 1 | no | — |
| 560 | C2×Dic3 | — | 4 | 1 | no | — |
| 561 | C2×Dic3 | — | 6 | 2 | no | — |
| 562 | C2×Dic3 | — | 6 | 1 | no | — |
| 563 | C2×Dic3 | — | 6 | 2 | no | — |
| 564 | C2×Dic3 | — | 12 | 2 | no | — |
| 565 | C2×Dic3 | — | 12 | 1 | no | — |
| 566 | C2×Dic3 | — | 24 | 1 | no | — |
| 567 | C2×Dic3 | C2×S4 | 1 | 1 | yes | characteristic |
| 568 | D12 | — | 3 | 2 | no | — |
| 569 | D12 | — | 3 | 2 | no | — |
| 570 | D12 | — | 3 | 2 | no | — |
| 571 | D12 | — | 3 | 2 | no | — |
| 572 | D12 | — | 6 | 1 | no | — |
| 573 | D12 | — | 6 | 1 | no | — |
| 574 | D12 | — | 6 | 2 | no | — |
| 575 | D12 | — | 6 | 2 | no | — |
| 576 | D12 | — | 12 | 2 | no | — |
| 577 | C4×D3 | — | 3 | 2 | no | — |
| 578 | C4×D3 | — | 3 | 2 | no | — |
| 579 | C4×D3 | — | 3 | 2 | no | — |
| 580 | C4×D3 | — | 3 | 2 | no | — |
| 581 | C4×D3 | — | 6 | 2 | no | — |
| 582 | C4×D3 | — | 6 | 2 | no | — |
| 583 | C4×D3 | — | 6 | 2 | no | — |
| 584 | C4×D3 | — | 6 | 2 | no | — |
| 585 | C4×D3 | — | 6 | 2 | no | — |
| 586 | C4×D3 | — | 6 | 2 | no | — |
| 587 | C4×D3 | — | 6 | 2 | no | — |
| 588 | C4×D3 | — | 6 | 2 | no | — |
| 589 | C4×D3 | — | 12 | 2 | no | — |
| 590 | C4×D3 | — | 12 | 2 | no | — |
| 591 | Dic6 | — | 3 | 2 | no | — |
| 592 | Dic6 | — | 3 | 2 | no | — |
| 593 | Dic6 | — | 3 | 2 | no | — |
| 594 | Dic6 | — | 3 | 2 | no | — |
| 595 | Dic6 | — | 6 | 1 | no | — |
| 596 | Dic6 | — | 6 | 2 | no | — |
| 597 | Dic6 | — | 6 | 1 | no | — |
| 598 | Dic6 | — | 6 | 2 | no | — |
| 599 | Dic6 | — | 12 | 2 | no | — |
| 600 | SL(2,𝔽3) | — | 2 | 1 | no | — |
| 601 | SL(2,𝔽3) | C23×D3 | 1 | 1 | yes | characteristic |
| 602 | C3×C8 | — | 3 | 2 | no | — |
| 603 | C3×C8 | — | 3 | 2 | no | — |
| 604 | C3⋊C8 | — | 3 | 2 | no | — |
| 605 | C3⋊C8 | — | 3 | 2 | no | — |
| 606 | C2×C32 | — | 4 | 1 | no | — |
| 607 | C2×C32 | — | 8 | 1 | no | — |
| 608 | C2×C32 | — | 8 | 1 | no | — |
| 609 | C2×C32 | — | 8 | 1 | no | — |
| 610 | C3⋊D3 | — | 8 | 2 | no | — |
| 611 | C3×D3 | — | 8 | 2 | no | — |
| 612 | C3×D3 | — | 8 | 2 | no | — |
| 613 | #41 | — | 3 | 2 | no | — |
| 614 | #41 | — | 3 | 2 | no | — |
| 615 | #41 | — | 3 | 2 | no | — |
| 616 | #41 | — | 6 | 1 | no | — |
| 617 | #41 | — | 6 | 1 | no | — |
| 618 | #41 | — | 9 | 2 | no | — |
| 619 | #41 | — | 9 | 2 | no | — |
| 620 | #41 | — | 9 | 2 | no | — |
| 621 | #41 | — | 9 | 2 | no | — |
| 622 | #41 | — | 9 | 2 | no | — |
| 623 | #41 | — | 9 | 2 | no | — |
| 624 | #41 | — | 9 | 2 | no | — |
| 625 | #41 | — | 9 | 2 | no | — |
| 626 | #41 | — | 9 | 2 | no | — |
| 627 | #41 | — | 9 | 2 | no | — |
| 628 | #41 | — | 9 | 2 | no | — |
| 629 | #41 | — | 9 | 2 | no | — |
| 630 | #41 | — | 9 | 2 | no | — |
| 631 | #41 | — | 9 | 2 | no | — |
| 632 | #41 | — | 9 | 2 | no | — |
| 633 | #41 | — | 18 | 2 | no | — |
| 634 | #41 | — | 18 | 1 | no | — |
| 635 | #41 | — | 18 | 1 | no | — |
| 636 | #41 | — | 18 | 1 | no | — |
| 637 | #41 | — | 18 | 1 | no | — |
| 638 | #41 | — | 18 | 2 | no | — |
| 639 | #41 | — | 18 | 2 | no | — |
| 640 | #41 | — | 18 | 2 | no | — |
| 641 | #41 | — | 18 | 2 | no | — |
| 642 | #41 | — | 18 | 2 | no | — |
| 643 | #41 | — | 18 | 2 | no | — |
| 644 | #41 | — | 18 | 2 | no | — |
| 645 | #41 | — | 18 | 2 | no | — |
| 646 | #41 | — | 18 | 2 | no | — |
| 647 | #41 | — | 18 | 2 | no | — |
| 648 | #41 | — | 18 | 2 | no | — |
| 649 | #41 | — | 18 | 2 | no | — |
| 650 | C2×Q8 | — | 3 | 1 | no | — |
| 651 | C2×Q8 | — | 3 | 1 | no | — |
| 652 | C2×Q8 | — | 3 | 1 | no | — |
| 653 | C2×Q8 | — | 3 | 1 | no | — |
| 654 | C2×Q8 | — | 3 | 2 | no | — |
| 655 | C2×Q8 | — | 9 | 1 | no | — |
| 656 | C2×Q8 | — | 9 | 1 | no | — |
| 657 | C2×Q8 | — | 9 | 1 | no | — |
| 658 | C2×Q8 | — | 9 | 2 | no | — |
| 659 | C2×Q8 | — | 9 | 2 | no | — |
| 660 | C2×Q8 | — | 9 | 2 | no | — |
| 661 | C2×Q8 | — | 9 | 2 | no | — |
| 662 | C2×Q8 | — | 9 | 2 | no | — |
| 663 | C2×Q8 | — | 18 | 2 | no | — |
| 664 | C2×Q8 | — | 18 | 2 | no | — |
| 665 | C2×Q8 | — | 18 | 2 | no | — |
| 666 | C2×Q8 | C2×D32 | 1 | 1 | yes | characteristic |
| 667 | C2×Q8 | C2×D32 | 1 | 1 | yes | characteristic |
| 668 | C2×Q8 | C2×D32 | 1 | 1 | yes | characteristic |
| 669 | C2×D4 | — | 3 | 1 | no | — |
| 670 | C2×D4 | — | 3 | 1 | no | — |
| 671 | C2×D4 | — | 6 | 1 | no | — |
| 672 | C2×D4 | — | 9 | 1 | no | — |
| 673 | C2×D4 | — | 9 | 1 | no | — |
| 674 | C2×D4 | — | 9 | 1 | no | — |
| 675 | C2×D4 | — | 9 | 2 | no | — |
| 676 | C2×D4 | — | 9 | 2 | no | — |
| 677 | C2×D4 | — | 9 | 1 | no | — |
| 678 | C2×D4 | — | 18 | 2 | no | — |
| 679 | C2×D4 | — | 18 | 2 | no | — |
| 680 | C2×D4 | — | 18 | 2 | no | — |
| 681 | C2×D4 | — | 18 | 2 | no | — |
| 682 | C2×D4 | — | 18 | 2 | no | — |
| 683 | C2×D4 | — | 18 | 2 | no | — |
| 684 | C2×D4 | — | 18 | 2 | no | — |
| 685 | C2×D4 | — | 18 | 2 | no | — |
| 686 | C2×D4 | — | 18 | 1 | no | — |
| 687 | C22×C4 | — | 3 | 1 | no | — |
| 688 | C22×C4 | — | 6 | 1 | no | — |
| 689 | C22×C4 | — | 9 | 1 | no | — |
| 690 | C22×C4 | — | 9 | 1 | no | — |
| 691 | C22×C4 | — | 18 | 1 | no | — |
| 692 | C22×C4 | — | 18 | 1 | no | — |
| 693 | C22×C4 | — | 18 | 2 | no | — |
| 694 | C22×C4 | — | 18 | 2 | no | — |
| 695 | Q16 | — | 3 | 2 | no | — |
| 696 | Q16 | — | 3 | 2 | no | — |
| 697 | Q16 | — | 3 | 2 | no | — |
| 698 | Q16 | — | 3 | 2 | no | — |
| 699 | Q16 | — | 9 | 2 | no | — |
| 700 | Q16 | — | 9 | 2 | no | — |
| 701 | Q16 | — | 9 | 2 | no | — |
| 702 | Q16 | — | 9 | 2 | no | — |
| 703 | Q16 | — | 9 | 2 | no | — |
| 704 | Q16 | — | 9 | 2 | no | — |
| 705 | Q16 | — | 9 | 2 | no | — |
| 706 | Q16 | — | 9 | 2 | no | — |
| 707 | SD16 | — | 3 | 2 | no | — |
| 708 | SD16 | — | 3 | 2 | no | — |
| 709 | SD16 | — | 3 | 2 | no | — |
| 710 | SD16 | — | 3 | 2 | no | — |
| 711 | SD16 | — | 9 | 2 | no | — |
| 712 | SD16 | — | 9 | 2 | no | — |
| 713 | SD16 | — | 9 | 2 | no | — |
| 714 | SD16 | — | 9 | 2 | no | — |
| 715 | SD16 | — | 9 | 2 | no | — |
| 716 | SD16 | — | 9 | 2 | no | — |
| 717 | SD16 | — | 9 | 2 | no | — |
| 718 | SD16 | — | 9 | 2 | no | — |
| 719 | SD16 | — | 9 | 2 | no | — |
| 720 | SD16 | — | 9 | 2 | no | — |
| 721 | SD16 | — | 9 | 2 | no | — |
| 722 | SD16 | — | 9 | 2 | no | — |
| 723 | D8 | — | 9 | 2 | no | — |
| 724 | D8 | — | 9 | 2 | no | — |
| 725 | D8 | — | 9 | 2 | no | — |
| 726 | D8 | — | 9 | 2 | no | — |
| 727 | M16 | — | 3 | 2 | no | — |
| 728 | M16 | — | 3 | 2 | no | — |
| 729 | M16 | — | 9 | 2 | no | — |
| 730 | M16 | — | 9 | 2 | no | — |
| 731 | M16 | — | 9 | 2 | no | — |
| 732 | M16 | — | 9 | 2 | no | — |
| 733 | M16 | — | 9 | 2 | no | — |
| 734 | M16 | — | 9 | 2 | no | — |
| 735 | C2×C8 | — | 3 | 1 | no | — |
| 736 | C2×C8 | — | 3 | 1 | no | — |
| 737 | C2×C8 | — | 9 | 2 | no | — |
| 738 | C2×C8 | — | 9 | 2 | no | — |
| 739 | C2×C8 | — | 9 | 2 | no | — |
| 740 | C2×C8 | — | 9 | 2 | no | — |
| 741 | C2×C8 | — | 9 | 1 | no | — |
| 742 | C2×C8 | — | 9 | 1 | no | — |
| 743 | C22×C3 | — | 4 | 1 | no | — |
| 744 | C22×C3 | — | 4 | 1 | no | — |
| 745 | C22×C3 | — | 4 | 1 | no | — |
| 746 | C22×C3 | — | 4 | 1 | no | — |
| 747 | C22×C3 | — | 6 | 2 | no | — |
| 748 | C22×C3 | — | 8 | 1 | no | — |
| 749 | C22×C3 | — | 8 | 1 | no | — |
| 750 | C22×C3 | — | 8 | 1 | no | — |
| 751 | C22×C3 | — | 12 | 2 | no | — |
| 752 | C22×C3 | — | 16 | 1 | no | — |
| 753 | C22×C3 | — | 16 | 2 | no | — |
| 754 | C22×C3 | — | 24 | 1 | no | — |
| 755 | C22×C3 | — | 48 | 1 | no | — |
| 756 | C22×C3 | C22×S4 | 1 | 1 | yes | characteristic |
| 757 | C22×C3 | C22×S4 | 1 | 1 | yes | characteristic |
| 758 | C22×C3 | C22×S4 | 1 | 1 | yes | characteristic |
| 759 | C2×D3 | — | 3 | 2 | no | — |
| 760 | C2×D3 | — | 4 | 2 | no | — |
| 761 | C2×D3 | — | 4 | 1 | no | — |
| 762 | C2×D3 | — | 6 | 2 | no | — |
| 763 | C2×D3 | — | 12 | 2 | no | — |
| 764 | C2×D3 | — | 12 | 1 | no | — |
| 765 | C2×D3 | — | 16 | 1 | no | — |
| 766 | C2×D3 | — | 24 | 2 | no | — |
| 767 | C2×D3 | — | 24 | 2 | no | — |
| 768 | C2×D3 | — | 24 | 2 | no | — |
| 769 | C2×D3 | — | 24 | 1 | no | — |
| 770 | C2×D3 | — | 48 | 2 | no | — |
| 771 | C2×D3 | — | 48 | 1 | no | — |
| 772 | C2×D3 | — | 48 | 2 | no | — |
| 773 | C2×D3 | C22×S4 | 1 | 2 | yes | — |
| 774 | C3×C4 | — | 3 | 1 | no | — |
| 775 | C3×C4 | — | 3 | 1 | no | — |
| 776 | C3×C4 | — | 3 | 1 | no | — |
| 777 | C3×C4 | — | 3 | 1 | no | — |
| 778 | C3×C4 | — | 6 | 2 | no | — |
| 779 | C3×C4 | — | 12 | 2 | no | — |
| 780 | Dic3 | — | 3 | 2 | no | — |
| 781 | Dic3 | — | 4 | 2 | no | — |
| 782 | Dic3 | — | 6 | 2 | no | — |
| 783 | Dic3 | — | 12 | 2 | no | — |
| 784 | Dic3 | — | 24 | 2 | no | — |
| 785 | Dic3 | C22×S4 | 1 | 2 | yes | — |
| 786 | C32 | — | 4 | 1 | no | Sylow |
| 787 | C23 | — | 3 | 1 | no | — |
| 788 | C23 | — | 6 | 1 | no | — |
| 789 | C23 | — | 9 | 1 | no | — |
| 790 | C23 | — | 18 | 2 | no | — |
| 791 | C23 | — | 18 | 2 | no | — |
| 792 | C23 | — | 18 | 1 | no | — |
| 793 | C23 | D3×S4 | 1 | 1 | yes | characteristic |
| 794 | Q8 | — | 3 | 1 | no | — |
| 795 | Q8 | — | 3 | 1 | no | — |
| 796 | Q8 | — | 3 | 1 | no | — |
| 797 | Q8 | — | 3 | 2 | no | — |
| 798 | Q8 | — | 6 | 1 | no | — |
| 799 | Q8 | — | 6 | 1 | no | — |
| 800 | Q8 | — | 9 | 2 | no | — |
| 801 | Q8 | — | 9 | 2 | no | — |
| 802 | Q8 | — | 9 | 2 | no | — |
| 803 | Q8 | — | 9 | 2 | no | — |
| 804 | Q8 | — | 18 | 2 | no | — |
| 805 | Q8 | — | 18 | 1 | no | — |
| 806 | Q8 | — | 18 | 1 | no | — |
| 807 | Q8 | — | 18 | 2 | no | — |
| 808 | Q8 | C22×D32 | 1 | 1 | yes | characteristic |
| 809 | D4 | — | 3 | 2 | no | — |
| 810 | D4 | — | 3 | 2 | no | — |
| 811 | D4 | — | 3 | 2 | no | — |
| 812 | D4 | — | 6 | 1 | no | — |
| 813 | D4 | — | 6 | 2 | no | — |
| 814 | D4 | — | 6 | 2 | no | — |
| 815 | D4 | — | 9 | 2 | no | — |
| 816 | D4 | — | 9 | 2 | no | — |
| 817 | D4 | — | 9 | 2 | no | — |
| 818 | D4 | — | 9 | 2 | no | — |
| 819 | D4 | — | 9 | 2 | no | — |
| 820 | D4 | — | 9 | 2 | no | — |
| 821 | D4 | — | 18 | 2 | no | — |
| 822 | D4 | — | 18 | 1 | no | — |
| 823 | D4 | — | 18 | 1 | no | — |
| 824 | D4 | — | 18 | 2 | no | — |
| 825 | D4 | — | 18 | 2 | no | — |
| 826 | D4 | — | 18 | 2 | no | — |
| 827 | D4 | — | 18 | 2 | no | — |
| 828 | D4 | — | 18 | 2 | no | — |
| 829 | D4 | — | 18 | 2 | no | — |
| 830 | D4 | — | 18 | 2 | no | — |
| 831 | C2×C4 | — | 3 | 1 | no | — |
| 832 | C2×C4 | — | 3 | 1 | no | — |
| 833 | C2×C4 | — | 3 | 1 | no | — |
| 834 | C2×C4 | — | 3 | 1 | no | — |
| 835 | C2×C4 | — | 3 | 1 | no | — |
| 836 | C2×C4 | — | 3 | 1 | no | — |
| 837 | C2×C4 | — | 3 | 1 | no | — |
| 838 | C2×C4 | — | 6 | 2 | no | — |
| 839 | C2×C4 | — | 6 | 2 | no | — |
| 840 | C2×C4 | — | 6 | 1 | no | — |
| 841 | C2×C4 | — | 9 | 2 | no | — |
| 842 | C2×C4 | — | 9 | 2 | no | — |
| 843 | C2×C4 | — | 9 | 2 | no | — |
| 844 | C2×C4 | — | 9 | 2 | no | — |
| 845 | C2×C4 | — | 9 | 1 | no | — |
| 846 | C2×C4 | — | 18 | 2 | no | — |
| 847 | C2×C4 | — | 18 | 2 | no | — |
| 848 | C2×C4 | — | 18 | 2 | no | — |
| 849 | C2×C4 | — | 18 | 2 | no | — |
| 850 | C2×C4 | — | 18 | 2 | no | — |
| 851 | C2×C4 | — | 18 | 2 | no | — |
| 852 | C2×C4 | — | 18 | 2 | no | — |
| 853 | C2×C4 | — | 18 | 2 | no | — |
| 854 | C2×C4 | — | 18 | 2 | no | — |
| 855 | C2×C4 | — | 18 | 2 | no | — |
| 856 | C2×C4 | — | 18 | 1 | no | — |
| 857 | C8 | — | 3 | 2 | no | — |
| 858 | C8 | — | 3 | 2 | no | — |
| 859 | C8 | — | 9 | 2 | no | — |
| 860 | C8 | — | 9 | 2 | no | — |
| 861 | C2×C3 | — | 2 | 1 | no | — |
| 862 | C2×C3 | — | 2 | 1 | no | — |
| 863 | C2×C3 | — | 2 | 1 | no | — |
| 864 | C2×C3 | — | 4 | 1 | no | — |
| 865 | C2×C3 | — | 8 | 1 | no | — |
| 866 | C2×C3 | — | 8 | 1 | no | — |
| 867 | C2×C3 | — | 8 | 1 | no | — |
| 868 | C2×C3 | — | 8 | 2 | no | — |
| 869 | C2×C3 | — | 8 | 1 | no | — |
| 870 | C2×C3 | — | 12 | 2 | no | — |
| 871 | C2×C3 | — | 16 | 1 | no | — |
| 872 | C2×C3 | — | 16 | 1 | no | — |
| 873 | C2×C3 | — | 24 | 2 | no | — |
| 874 | C2×C3 | C23×S4 | 1 | 1 | yes | characteristic |
| 875 | D3 | — | 2 | 2 | no | — |
| 876 | D3 | — | 6 | 2 | no | — |
| 877 | D3 | — | 8 | 2 | no | — |
| 878 | D3 | — | 12 | 2 | no | — |
| 879 | D3 | — | 24 | 2 | no | — |
| 880 | D3 | — | 48 | 2 | no | — |
| 881 | C22 | — | 3 | 2 | no | — |
| 882 | C22 | — | 4 | 1 | no | — |
| 883 | C22 | — | 6 | 2 | no | — |
| 884 | C22 | — | 9 | 2 | no | — |
| 885 | C22 | — | 12 | 1 | no | — |
| 886 | C22 | — | 18 | 2 | no | — |
| 887 | C22 | — | 24 | 1 | no | — |
| 888 | C22 | — | 36 | 1 | no | — |
| 889 | C22 | — | 72 | 1 | no | — |
| 890 | C22 | — | 72 | 2 | no | — |
| 891 | C22 | — | 72 | 2 | no | — |
| 892 | C22 | C2×D3×S4 | 1 | 1 | yes | characteristic |
| 893 | C22 | C2×D3×S4 | 1 | 1 | yes | characteristic |
| 894 | C22 | C2×D3×S4 | 1 | 1 | yes | characteristic |
| 895 | C4 | — | 3 | 1 | no | — |
| 896 | C4 | — | 3 | 1 | no | — |
| 897 | C4 | — | 3 | 1 | no | — |
| 898 | C4 | — | 3 | 1 | no | — |
| 899 | C4 | — | 3 | 2 | no | — |
| 900 | C4 | — | 6 | 2 | no | — |
| 901 | C4 | — | 9 | 2 | no | — |
| 902 | C4 | — | 18 | 2 | no | — |
| 903 | C3 | — | 4 | 1 | no | — |
| 904 | C3 | — | 8 | 1 | no | — |
| 905 | C3 | #87496 | 1 | 1 | yes | characteristic, complemented |
| 906 | C2 | — | 2 | 1 | no | — |
| 907 | C2 | — | 2 | 1 | no | — |
| 908 | C2 | — | 2 | 1 | no | — |
| 909 | C2 | — | 6 | 2 | no | — |
| 910 | C2 | — | 12 | 2 | no | — |
| 911 | C2 | — | 18 | 2 | no | — |
| 912 | C2 | — | 36 | 2 | no | — |
| 913 | C2 | C22×D3×S4 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C22×D3×S4 |
| commutator, cosocle, hypocenter | C3×SL(2,𝔽3) | C24 |
| Fitting | C22×C3×Q8 | C2×D3 |
| socle | C2×C3 | C23×S4 |
| hypercenter | C23 | D3×S4 |
| LCS | G ▷ C3×SL(2,𝔽3) | |
| UCS | C1 ◁ C2 ◁ C23 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#1007⋊C3 | C2 | semidirect |
| 2. C2×#64264 | C2 | semidirect |
| 3. C2×C3×#983 | C2 | semidirect |
| 4. #10596446 | C2 | semidirect |
| 5. #10596445 | C2 | semidirect |
| 6. D3×#983 | C2 | semidirect |
| 7. #10596440 | C2 | semidirect |
| 8. #10596439 | C2 | semidirect |
| 9. #10596435 | C2 | semidirect |
| 12. C22×C3×SL(2,𝔽3) | C22 | semidirect |
| 14. #1007⋊C3 | C22 | semidirect |
| 15. #1007⋊C3 | C22 | semidirect |
| 16. C2×D3×SL(2,𝔽3) | C22 | semidirect |
| 17. C2×C3⋊(#41⋊C3) | C22 | semidirect |
| 18. #64264 | C22 | semidirect |
| 19. #64264 | C22 | semidirect |
| 20. C2×C3⋊GL(2,𝔽3) | C22 | semidirect |
| 21. C2×C3⋊#226 | C22 | semidirect |
| 22. C3×#983 | C22 | semidirect |
| 23. C3×#983 | C22 | semidirect |
| 24. C2×C3×GL(2,𝔽3) | C22 | semidirect |
| 25. C2×C3×#226 | C22 | semidirect |
| 26. D3×GL(2,𝔽3) | C22 | semidirect |
| 27. #64202 | C22 | semidirect |
| 28. #64201 | C22 | semidirect |
| 29. D3×#226 | C22 | semidirect |
| 30. #64199 | C22 | semidirect |
| 31. #64198 | C22 | semidirect |
| 32. #64197 | C22 | semidirect |
| 33. #64196 | C22 | semidirect |
| 35. C2×#1007 | D3 | semidirect |
| 45. C2×#983 | D3 | semidirect |
| 83. C22×C3×Q8 | C2×D3 | semidirect |
| 94. #1007 | C2×D3 | semidirect |
| 95. #1007 | C2×D3 | semidirect |
| 97. C2×#239 | C2×D3 | semidirect |
| 99. C2×D3×Q8 | C2×D3 | semidirect |
| 113. C22×SL(2,𝔽3) | C2×D3 | semidirect |
| 124. #983 | C2×D3 | semidirect |
| 125. #983 | C2×D3 | semidirect |
| 129. C2×GL(2,𝔽3) | C2×D3 | semidirect |
| 133. C2×#226 | C2×D3 | semidirect |
| 435. C22×Q8 | D32 | semidirect |
| 905. C3 | #87496 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#1007⋊C3 | 2 |
| C2×#64264 | 2 |
| C2×C3×#983 | 2 |
| #10596446 | 2 |
| #10596445 | 2 |
| D3×#983 | 2 |
| #10596440 | 2 |
| #10596439 | 2 |
| #10596435 | 2 |
| #87496 | 3 |
| #87197 | 3 |
| #64330 | 4 |