Finite Group DatabasebetaFinite Group DatabasebetaOrder 4608.
3149 conjugacy classes of subgroups; only the 206 normal subgroups are shown.
This group has 3149 conjugacy classes of subgroups — too many to draw. Only its 206 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 | #72252999 | C2 | 1 | 3 | yes | maximal, complemented |
| 2 | #72252969 | C2 | 1 | 3 | yes | maximal, complemented |
| 3 | #72252938 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #72242873 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #72242745 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | H(5,𝔽2)×AGL(1,𝔽9) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72220545 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | C23×AΓL(1,𝔽9) | C22 | 1 | 1 | yes | characteristic, complemented |
| 9 | H(5,𝔽2)×#157 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×#10596416 | — | 2 | 3 | no | — |
| 11 | #11865258 | — | 2 | 1 | no | — |
| 12 | #11862930 | — | 2 | 3 | no | — |
| 13 | #11862173 | — | 2 | 3 | no | — |
| 14 | #11862173 | C22 | 1 | 3 | yes | — |
| 15 | #41×AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 16 | C2×D4×AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 17 | C2×D4×AGL(1,𝔽9) | C22 | 1 | 3 | yes | — |
| 18 | #11809470 | C22 | 1 | 3 | yes | — |
| 19 | #11809395 | C22 | 1 | 3 | yes | — |
| 20 | #11794082 | — | 2 | 3 | no | — |
| 21 | #11791996 | — | 2 | 3 | no | — |
| 22 | #11790985 | — | 2 | 3 | no | — |
| 23 | #11787952 | — | 2 | 3 | no | — |
| 24 | #11787089 | — | 2 | 3 | no | — |
| 25 | #11785362 | C22 | 1 | 3 | yes | complemented |
| 26 | #11785105 | C22 | 1 | 3 | yes | — |
| 27 | #11785104 | C22 | 1 | 3 | yes | — |
| 28 | #11784820 | — | 2 | 1 | no | — |
| 29 | #11784747 | C22 | 1 | 3 | yes | complemented |
| 30 | GO+(4,𝔽2)⋊(C22⋊C4) | C22 | 1 | 3 | yes | complemented |
| 31 | #11770981 | C22 | 1 | 6 | yes | complemented |
| 32 | C23×PSU(3,𝔽2) | C23 | 1 | 1 | yes | characteristic |
| 33 | C23×GO+(4,𝔽2) | C23 | 1 | 1 | yes | characteristic |
| 34 | C23×AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 35 | C23×AGL(1,𝔽9) | D4 | 1 | 3 | yes | complemented |
| 36 | C23×AGL(1,𝔽9) | C23 | 1 | 1 | yes | characteristic |
| 37 | C22×AΓL(1,𝔽9) | — | 2 | 3 | no | — |
| 38 | C22×AΓL(1,𝔽9) | — | 2 | 3 | no | — |
| 39 | C22×AΓL(1,𝔽9) | — | 4 | 4 | no | — |
| 40 | C3⋊D3×H(5,𝔽2) | D4 | 1 | 1 | yes | characteristic |
| 41 | #10596650 | — | 2 | 3 | no | — |
| 42 | #41×#157 | — | 2 | 3 | no | — |
| 43 | #10596642 | — | 2 | 3 | no | — |
| 44 | #10596642 | D4 | 1 | 3 | yes | — |
| 45 | C2×D4×#157 | — | 2 | 3 | no | — |
| 46 | C2×D4×#157 | C23 | 1 | 3 | yes | — |
| 47 | C2×C22⋊PSU(3,𝔽2) | — | 2 | 3 | no | — |
| 48 | C2×#64242 | — | 2 | 3 | no | — |
| 49 | C2×C22⋊AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 50 | C2×C22⋊AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 51 | C2×C22⋊AGL(1,𝔽9) | D4 | 1 | 3 | yes | complemented |
| 52 | C2×C22⋊AGL(1,𝔽9) | C23 | 1 | 3 | yes | — |
| 53 | Q8×AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 54 | Q8×AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 55 | D4×AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 56 | D4×AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 57 | D4×AGL(1,𝔽9) | — | 2 | 6 | no | — |
| 58 | D4×AGL(1,𝔽9) | — | 2 | 6 | no | — |
| 59 | D4×AGL(1,𝔽9) | — | 2 | 6 | no | — |
| 60 | D4×AGL(1,𝔽9) | — | 2 | 6 | no | — |
| 61 | D4×AGL(1,𝔽9) | — | 2 | 6 | no | — |
| 62 | #10596484 | — | 2 | 6 | no | — |
| 63 | #10596484 | — | 2 | 3 | no | — |
| 64 | C2×C4⋊AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 65 | C2×C4⋊AGL(1,𝔽9) | D4 | 1 | 3 | yes | complemented |
| 66 | C2×C4×AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 67 | C2×C4×AGL(1,𝔽9) | D4 | 1 | 3 | yes | complemented |
| 68 | #10596416 | — | 4 | 12 | no | — |
| 69 | C2×AGL(1,𝔽9)⋊C4 | — | 2 | 3 | no | — |
| 70 | C2×PSU(3,𝔽2)⋊C4 | — | 2 | 3 | no | — |
| 71 | C2×PSU(3,𝔽2)⋊C4 | — | 2 | 3 | no | — |
| 72 | C2×GO+(4,𝔽2)⋊C4 | — | 2 | 3 | no | — |
| 73 | C2×GO+(4,𝔽2)⋊C4 | — | 2 | 3 | no | — |
| 74 | #10595278 | — | 2 | 3 | no | — |
| 75 | #10593826 | — | 2 | 3 | no | — |
| 76 | #10593817 | — | 2 | 3 | no | — |
| 77 | #10593570 | — | 2 | 3 | no | — |
| 78 | #10593569 | — | 2 | 3 | no | — |
| 79 | #10593568 | C23 | 1 | 3 | yes | — |
| 80 | #10593556 | — | 2 | 3 | no | — |
| 81 | #10593555 | — | 2 | 3 | no | — |
| 82 | #10593530 | — | 2 | 3 | no | — |
| 83 | #10593516 | C23 | 1 | 3 | yes | — |
| 84 | #10593512 | — | 2 | 3 | no | — |
| 85 | #10593456 | — | 2 | 3 | no | — |
| 86 | #10593454 | — | 2 | 3 | no | — |
| 87 | #10593166 | — | 2 | 3 | no | — |
| 88 | C3×#5244 | — | 4 | 1 | no | — |
| 89 | #10591532 | — | 4 | 3 | no | — |
| 90 | #10591527 | — | 2 | 3 | no | — |
| 91 | #10590098 | — | 2 | 3 | no | — |
| 92 | #10590077 | — | 2 | 3 | no | — |
| 93 | #348098 | — | 9 | 1 | no | maximal, Sylow |
| 94 | D3×B(4,𝔽2) | — | 12 | 1 | no | — |
| 95 | C23×D32 | — | 2 | 1 | no | — |
| 96 | C23×#157 | — | 2 | 1 | no | — |
| 97 | C23×#157 | — | 2 | 1 | no | — |
| 98 | C23×#157 | C2×D4 | 1 | 3 | yes | — |
| 99 | C23×#157 | C24 | 1 | 1 | yes | characteristic |
| 100 | C22×PSU(3,𝔽2) | — | 2 | 3 | no | — |
| 101 | C22×PSU(3,𝔽2) | — | 2 | 3 | no | — |
| 102 | C22×PSU(3,𝔽2) | — | 4 | 2 | no | — |
| 103 | C22×PSU(3,𝔽2) | — | 8 | 1 | no | — |
| 104 | C22×GO+(4,𝔽2) | — | 2 | 3 | no | — |
| 105 | C22×GO+(4,𝔽2) | — | 2 | 3 | no | — |
| 106 | C22×GO+(4,𝔽2) | — | 4 | 2 | no | — |
| 107 | C22×GO+(4,𝔽2) | — | 8 | 1 | no | — |
| 108 | C22×AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 109 | C22×AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 110 | C22×AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 111 | C22×AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 112 | C22×AGL(1,𝔽9) | — | 4 | 2 | no | — |
| 113 | C22×AGL(1,𝔽9) | — | 4 | 6 | no | — |
| 114 | C22×AGL(1,𝔽9) | — | 8 | 2 | no | — |
| 115 | C22×AGL(1,𝔽9) | C2×D4 | 1 | 3 | yes | — |
| 116 | C22×AGL(1,𝔽9) | C2×D4 | 1 | 3 | yes | — |
| 117 | C22×AGL(1,𝔽9) | C2×D4 | 1 | 3 | yes | — |
| 118 | C22×AGL(1,𝔽9) | C2×D4 | 1 | 3 | yes | — |
| 119 | C2×AΓL(1,𝔽9) | — | 2 | 12 | no | — |
| 120 | C2×AΓL(1,𝔽9) | — | 4 | 6 | no | — |
| 121 | C2×AΓL(1,𝔽9) | — | 4 | 6 | no | — |
| 122 | C2×AΓL(1,𝔽9) | — | 4 | 6 | no | — |
| 123 | C2×AΓL(1,𝔽9) | — | 4 | 3 | no | — |
| 124 | C2×AΓL(1,𝔽9) | — | 4 | 1 | no | — |
| 125 | C32×H(5,𝔽2) | SD16 | 1 | 1 | yes | characteristic, complemented |
| 126 | #64366 | — | 2 | 3 | no | — |
| 127 | #41×C3⋊D3 | — | 2 | 3 | no | — |
| 128 | #64361 | — | 2 | 3 | no | — |
| 129 | #64361 | SD16 | 1 | 3 | yes | complemented |
| 130 | C2×D4×C3⋊D3 | — | 2 | 3 | no | — |
| 131 | C2×D4×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 132 | C2×#3811 | — | 4 | 3 | no | — |
| 133 | C2×C22⋊#157 | — | 2 | 3 | no | — |
| 134 | C2×C22⋊#157 | — | 2 | 3 | no | — |
| 135 | C2×C22⋊#157 | — | 2 | 3 | no | — |
| 136 | C2×C22⋊#157 | — | 4 | 3 | no | — |
| 137 | C2×C22⋊#157 | C2×D4 | 1 | 3 | yes | — |
| 138 | C2×C22⋊#157 | #41 | 1 | 3 | yes | — |
| 139 | Q8×#157 | — | 2 | 1 | no | — |
| 140 | Q8×#157 | — | 2 | 3 | no | — |
| 141 | D4×#157 | — | 2 | 3 | no | — |
| 142 | D4×#157 | — | 2 | 6 | no | — |
| 143 | D4×#157 | — | 2 | 3 | no | — |
| 144 | D4×#157 | — | 2 | 6 | no | — |
| 145 | D4×#157 | — | 2 | 6 | no | — |
| 146 | D4×#157 | — | 2 | 6 | no | — |
| 147 | D4×#157 | — | 2 | 6 | no | — |
| 148 | #64286 | — | 2 | 6 | no | — |
| 149 | #64286 | — | 2 | 3 | no | — |
| 150 | C2×C4⋊#157 | — | 2 | 3 | no | — |
| 151 | C2×C4⋊#157 | #41 | 1 | 3 | yes | — |
| 152 | C2×C4×#157 | — | 2 | 3 | no | — |
| 153 | C2×C4×#157 | C2×D4 | 1 | 3 | yes | — |
| 154 | C22⋊PSU(3,𝔽2) | — | 4 | 6 | no | — |
| 155 | C22⋊PSU(3,𝔽2) | — | 8 | 3 | no | — |
| 156 | C2×#3777 | — | 2 | 3 | no | — |
| 157 | C2×#3777 | — | 4 | 3 | no | — |
| 158 | #64242 | — | 4 | 6 | no | — |
| 159 | #64242 | — | 8 | 3 | no | — |
| 160 | C2×#3773 | — | 2 | 3 | no | — |
| 161 | C2×D32⋊C4 | — | 4 | 3 | no | — |
| 162 | C2×D32⋊C4 | — | 4 | 3 | no | — |
| 163 | C22⋊AGL(1,𝔽9) | — | 2 | 6 | no | — |
| 164 | C22⋊AGL(1,𝔽9) | — | 2 | 6 | no | — |
| 165 | C22⋊AGL(1,𝔽9) | — | 2 | 6 | no | — |
| 166 | C4⋊AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 167 | C4⋊AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 168 | C4⋊AGL(1,𝔽9) | — | 2 | 6 | no | — |
| 169 | C4×AGL(1,𝔽9) | — | 2 | 6 | no | — |
| 170 | C4×AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 171 | C4×AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 172 | AGL(1,𝔽9)⋊C4 | — | 4 | 6 | no | — |
| 173 | PSU(3,𝔽2)⋊C4 | — | 4 | 6 | no | — |
| 174 | PSU(3,𝔽2)⋊C4 | — | 8 | 3 | no | — |
| 175 | GO+(4,𝔽2)⋊C4 | — | 4 | 6 | no | — |
| 176 | GO+(4,𝔽2)⋊C4 | — | 8 | 3 | no | — |
| 177 | C3×#937 | — | 4 | 3 | no | — |
| 178 | #63983 | — | 4 | 3 | no | — |
| 179 | #63977 | — | 4 | 3 | no | — |
| 180 | #63974 | — | 2 | 3 | no | — |
| 181 | #63923 | — | 4 | 3 | no | — |
| 182 | #63921 | — | 4 | 3 | no | — |
| 183 | #63786 | — | 4 | 3 | no | — |
| 184 | #63781 | — | 4 | 3 | no | — |
| 185 | #63774 | — | 4 | 3 | no | — |
| 186 | #63747 | — | 2 | 3 | no | — |
| 187 | #63747 | — | 4 | 3 | no | — |
| 188 | #63737 | — | 2 | 3 | no | — |
| 189 | C3×#834 | — | 4 | 3 | no | — |
| 190 | #63581 | — | 4 | 3 | no | — |
| 191 | C8×H(5,𝔽2) | — | 9 | 1 | no | — |
| 192 | #32975 | — | 9 | 1 | no | — |
| 193 | #32926 | — | 9 | 1 | no | — |
| 194 | #24264 | — | 9 | 3 | no | — |
| 195 | #9468 | — | 9 | 3 | no | — |
| 196 | #9467 | — | 9 | 3 | no | — |
| 197 | #8608 | — | 9 | 3 | no | — |
| 198 | D3×H(5,𝔽2) | — | 12 | 1 | no | — |
| 199 | D3×#120 | — | 12 | 3 | no | — |
| 200 | C3×B(4,𝔽2) | — | 12 | 1 | no | — |
| 201 | #5244 | — | 4 | 1 | no | — |
| 202 | #5032 | — | 12 | 3 | no | — |
| 203 | D3×#99 | — | 12 | 3 | no | — |
| 204 | #4741 | — | 12 | 3 | no | — |
| 205 | C23×C3⋊D3 | — | 2 | 1 | no | — |
| 206 | C23×C3⋊D3 | #121 | 1 | 3 | yes | — |
| 207 | C23×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 208 | C23×C3×D3 | — | 4 | 1 | no | — |
| 209 | C22×D32 | — | 4 | 3 | no | — |
| 210 | C22×D32 | — | 4 | 3 | no | — |
| 211 | C22×D32 | — | 8 | 2 | no | — |
| 212 | C22×D32 | — | 16 | 1 | no | — |
| 213 | C22×#157 | — | 2 | 3 | no | — |
| 214 | C22×#157 | — | 2 | 3 | no | — |
| 215 | C22×#157 | — | 2 | 3 | no | — |
| 216 | C22×#157 | — | 2 | 3 | no | — |
| 217 | C22×#157 | — | 4 | 1 | no | — |
| 218 | C22×#157 | — | 4 | 1 | no | — |
| 219 | C22×#157 | — | 4 | 3 | no | — |
| 220 | C22×#157 | — | 4 | 3 | no | — |
| 221 | C22×#157 | — | 4 | 3 | no | — |
| 222 | C22×#157 | — | 4 | 3 | no | — |
| 223 | C22×#157 | — | 8 | 2 | no | — |
| 224 | C22×#157 | — | 8 | 1 | no | — |
| 225 | C22×#157 | — | 8 | 1 | no | — |
| 226 | C22×#157 | #121 | 1 | 3 | yes | — |
| 227 | C22×#157 | #121 | 1 | 3 | yes | — |
| 228 | C22×#157 | C22×D4 | 1 | 3 | yes | — |
| 229 | C22×#157 | C2×#41 | 1 | 3 | yes | — |
| 230 | C2×PSU(3,𝔽2) | — | 2 | 6 | no | — |
| 231 | C2×PSU(3,𝔽2) | — | 4 | 3 | no | — |
| 232 | C2×PSU(3,𝔽2) | — | 4 | 3 | no | — |
| 233 | C2×PSU(3,𝔽2) | — | 4 | 1 | no | — |
| 234 | C2×PSU(3,𝔽2) | — | 4 | 3 | no | — |
| 235 | C2×PSU(3,𝔽2) | — | 4 | 3 | no | — |
| 236 | C2×PSU(3,𝔽2) | — | 8 | 6 | no | — |
| 237 | C2×GO+(4,𝔽2) | — | 2 | 6 | no | — |
| 238 | C2×GO+(4,𝔽2) | — | 4 | 3 | no | — |
| 239 | C2×GO+(4,𝔽2) | — | 4 | 3 | no | — |
| 240 | C2×GO+(4,𝔽2) | — | 4 | 1 | no | — |
| 241 | C2×GO+(4,𝔽2) | — | 4 | 3 | no | — |
| 242 | C2×GO+(4,𝔽2) | — | 4 | 3 | no | — |
| 243 | C2×GO+(4,𝔽2) | — | 8 | 6 | no | — |
| 244 | C2×AGL(1,𝔽9) | — | 2 | 6 | no | — |
| 245 | C2×AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 246 | C2×AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 247 | C2×AGL(1,𝔽9) | — | 4 | 3 | no | — |
| 248 | C2×AGL(1,𝔽9) | — | 4 | 6 | no | — |
| 249 | C2×AGL(1,𝔽9) | — | 4 | 3 | no | — |
| 250 | C2×AGL(1,𝔽9) | — | 4 | 3 | no | — |
| 251 | C2×AGL(1,𝔽9) | — | 8 | 3 | no | — |
| 252 | C2×AGL(1,𝔽9) | — | 8 | 3 | no | — |
| 253 | C2×AGL(1,𝔽9) | — | 8 | 3 | no | — |
| 254 | C2×AGL(1,𝔽9) | #120 | 1 | 3 | yes | — |
| 255 | C2×AGL(1,𝔽9) | #120 | 1 | 1 | yes | characteristic |
| 256 | AΓL(1,𝔽9) | — | 4 | 12 | no | — |
| 257 | AΓL(1,𝔽9) | — | 4 | 4 | no | — |
| 258 | C32×#41 | — | 2 | 3 | no | — |
| 259 | C2×C32×D4 | — | 2 | 3 | no | — |
| 260 | C2×C32×D4 | C2×SD16 | 1 | 3 | yes | — |
| 261 | C2×#638 | — | 2 | 3 | no | — |
| 262 | C2×#638 | — | 2 | 3 | no | — |
| 263 | C2×#638 | C2×SD16 | 1 | 3 | yes | — |
| 264 | C2×#638 | #135 | 1 | 3 | yes | — |
| 265 | #3832 | — | 2 | 3 | no | — |
| 266 | Q8×C3⋊D3 | — | 2 | 1 | no | — |
| 267 | #3830 | — | 2 | 3 | no | — |
| 268 | #3830 | — | 2 | 6 | no | — |
| 269 | D4×C3⋊D3 | — | 2 | 3 | no | — |
| 270 | D4×C3⋊D3 | — | 2 | 6 | no | — |
| 271 | D4×C3⋊D3 | — | 2 | 6 | no | — |
| 272 | D4×C3⋊D3 | — | 2 | 6 | no | — |
| 273 | D4×C3⋊D3 | — | 2 | 6 | no | — |
| 274 | #3828 | — | 2 | 6 | no | — |
| 275 | #3828 | — | 2 | 3 | no | — |
| 276 | C2×C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 277 | C2×C4⋊(C3⋊D3) | #135 | 1 | 3 | yes | — |
| 278 | C2×C4×C3⋊D3 | — | 2 | 3 | no | — |
| 279 | C2×C4×C3⋊D3 | #121 | 1 | 3 | yes | — |
| 280 | C2×C3×#67 | — | 8 | 3 | no | — |
| 281 | #3811 | — | 8 | 6 | no | — |
| 282 | #3811 | — | 16 | 3 | no | — |
| 283 | C2×#626 | — | 8 | 3 | no | — |
| 284 | C2×#624 | — | 4 | 3 | no | — |
| 285 | C22⋊#157 | — | 2 | 6 | no | — |
| 286 | C22⋊#157 | — | 2 | 6 | no | — |
| 287 | C22⋊#157 | — | 2 | 6 | no | — |
| 288 | C22⋊#157 | — | 4 | 6 | no | — |
| 289 | C22⋊#157 | — | 8 | 6 | no | — |
| 290 | C4⋊#157 | — | 2 | 3 | no | — |
| 291 | C4⋊#157 | — | 2 | 3 | no | — |
| 292 | C4⋊#157 | — | 2 | 6 | no | — |
| 293 | C4×#157 | — | 2 | 6 | no | — |
| 294 | C4×#157 | — | 2 | 3 | no | — |
| 295 | C4×#157 | — | 2 | 3 | no | — |
| 296 | #3777 | — | 4 | 3 | no | — |
| 297 | #3777 | — | 4 | 3 | no | — |
| 298 | #3777 | — | 8 | 6 | no | — |
| 299 | #3773 | — | 4 | 3 | no | — |
| 300 | #3773 | — | 4 | 3 | no | — |
| 301 | D32⋊C4 | — | 8 | 6 | no | — |
| 302 | D32⋊C4 | — | 16 | 3 | no | — |
| 303 | C3×#217 | — | 4 | 3 | no | — |
| 304 | C3×(C2×D3)⋊C4 | — | 8 | 3 | no | — |
| 305 | #3722 | — | 4 | 3 | no | — |
| 306 | (C2×D3)⋊Dic3 | — | 8 | 3 | no | — |
| 307 | C23×SD16 | — | 9 | 1 | no | — |
| 308 | C4×H(5,𝔽2) | — | 9 | 1 | no | — |
| 309 | C2×#465 | — | 18 | 3 | no | — |
| 310 | C2×B(4,𝔽2) | — | 18 | 1 | no | — |
| 311 | #2988 | — | 18 | 3 | no | — |
| 312 | #2972 | — | 9 | 3 | no | — |
| 313 | #2972 | — | 18 | 3 | no | — |
| 314 | C8×#41 | — | 18 | 3 | no | — |
| 315 | C2×C8×D4 | — | 9 | 3 | no | — |
| 316 | C2×C8×D4 | — | 18 | 3 | no | — |
| 317 | #2409 | — | 9 | 3 | no | — |
| 318 | #2408 | — | 9 | 3 | no | — |
| 319 | #2055 | — | 18 | 3 | no | — |
| 320 | #2000 | — | 18 | 3 | no | — |
| 321 | #1968 | — | 18 | 3 | no | — |
| 322 | #1889 | — | 18 | 3 | no | — |
| 323 | #1867 | — | 18 | 3 | no | — |
| 324 | #1807 | — | 9 | 3 | no | — |
| 325 | #1799 | — | 9 | 3 | no | — |
| 326 | #1799 | — | 9 | 3 | no | — |
| 327 | #1790 | — | 18 | 1 | no | — |
| 328 | #1787 | — | 9 | 3 | no | — |
| 329 | #1786 | — | 9 | 3 | no | — |
| 330 | #1289 | — | 9 | 6 | no | — |
| 331 | C24×D3 | — | 12 | 1 | no | — |
| 332 | C3×H(5,𝔽2) | — | 4 | 1 | no | — |
| 333 | #1009 | — | 24 | 3 | no | — |
| 334 | D3×#41 | — | 24 | 3 | no | — |
| 335 | #1004 | — | 12 | 3 | no | — |
| 336 | #1004 | — | 24 | 3 | no | — |
| 337 | C2×D3×D4 | — | 12 | 3 | no | — |
| 338 | C2×D3×D4 | — | 24 | 3 | no | — |
| 339 | C2×D3×D4 | — | 24 | 3 | no | — |
| 340 | C3×#120 | — | 12 | 3 | no | — |
| 341 | #953 | — | 12 | 3 | no | — |
| 342 | #937 | — | 4 | 3 | no | — |
| 343 | #937 | — | 24 | 3 | no | — |
| 344 | #882 | — | 12 | 3 | no | — |
| 345 | #882 | — | 24 | 3 | no | — |
| 346 | D3×C22⋊C4 | — | 12 | 3 | no | — |
| 347 | D3×C22⋊C4 | — | 24 | 3 | no | — |
| 348 | C3×#99 | — | 12 | 3 | no | — |
| 349 | #834 | — | 4 | 3 | no | — |
| 350 | #806 | — | 12 | 6 | no | — |
| 351 | C23×C32 | — | 2 | 1 | no | — |
| 352 | C23×C32 | #465 | 1 | 3 | yes | complemented |
| 353 | C23×C32 | C22×SD16 | 1 | 1 | yes | characteristic |
| 354 | C22×C3⋊D3 | — | 2 | 3 | no | — |
| 355 | C22×C3⋊D3 | — | 2 | 3 | no | — |
| 356 | C22×C3⋊D3 | — | 2 | 3 | no | — |
| 357 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 358 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 359 | C22×C3⋊D3 | — | 4 | 3 | no | — |
| 360 | C22×C3⋊D3 | — | 4 | 3 | no | — |
| 361 | C22×C3⋊D3 | — | 8 | 1 | no | — |
| 362 | C22×C3⋊D3 | — | 8 | 1 | no | — |
| 363 | C22×C3⋊D3 | #465 | 1 | 3 | yes | complemented |
| 364 | C22×C3⋊D3 | C2×#121 | 1 | 3 | yes | — |
| 365 | C22×C3⋊D3 | C2×#135 | 1 | 3 | yes | — |
| 366 | C22×C3×D3 | — | 8 | 3 | no | — |
| 367 | C22×C3×D3 | — | 16 | 2 | no | — |
| 368 | C2×D32 | — | 4 | 6 | no | — |
| 369 | C2×D32 | — | 8 | 3 | no | — |
| 370 | C2×D32 | — | 8 | 3 | no | — |
| 371 | C2×D32 | — | 8 | 3 | no | — |
| 372 | C2×D32 | — | 8 | 1 | no | — |
| 373 | C2×D32 | — | 8 | 3 | no | — |
| 374 | C2×D32 | — | 16 | 6 | no | — |
| 375 | C2×#157 | — | 2 | 3 | no | — |
| 376 | C2×#157 | — | 2 | 3 | no | — |
| 377 | C2×#157 | — | 2 | 3 | no | — |
| 378 | C2×#157 | — | 2 | 3 | no | — |
| 379 | C2×#157 | — | 4 | 3 | no | — |
| 380 | C2×#157 | — | 4 | 3 | no | — |
| 381 | C2×#157 | — | 4 | 3 | no | — |
| 382 | C2×#157 | — | 4 | 3 | no | — |
| 383 | C2×#157 | — | 4 | 3 | no | — |
| 384 | C2×#157 | — | 4 | 6 | no | — |
| 385 | C2×#157 | — | 8 | 3 | no | — |
| 386 | C2×#157 | — | 8 | 3 | no | — |
| 387 | C2×#157 | — | 8 | 3 | no | — |
| 388 | C2×#157 | — | 8 | 3 | no | — |
| 389 | C2×#157 | — | 8 | 1 | no | — |
| 390 | C2×#157 | — | 8 | 3 | no | — |
| 391 | C2×#157 | — | 8 | 3 | no | — |
| 392 | C2×#157 | — | 8 | 3 | no | — |
| 393 | C2×#157 | C2×#120 | 1 | 1 | yes | characteristic |
| 394 | C2×#157 | #525 | 1 | 3 | yes | — |
| 395 | PSU(3,𝔽2) | — | 4 | 6 | no | — |
| 396 | PSU(3,𝔽2) | — | 4 | 2 | no | — |
| 397 | PSU(3,𝔽2) | — | 8 | 3 | no | — |
| 398 | PSU(3,𝔽2) | — | 8 | 1 | no | — |
| 399 | GO+(4,𝔽2) | — | 4 | 6 | no | — |
| 400 | GO+(4,𝔽2) | — | 4 | 2 | no | — |
| 401 | GO+(4,𝔽2) | — | 8 | 3 | no | — |
| 402 | GO+(4,𝔽2) | — | 8 | 1 | no | — |
| 403 | AGL(1,𝔽9) | — | 2 | 3 | no | — |
| 404 | AGL(1,𝔽9) | — | 4 | 3 | no | — |
| 405 | AGL(1,𝔽9) | — | 4 | 3 | no | — |
| 406 | AGL(1,𝔽9) | B(4,𝔽2) | 1 | 2 | yes | complemented |
| 407 | C32×Q8 | — | 2 | 1 | no | — |
| 408 | C32×D4 | — | 2 | 3 | no | — |
| 409 | C32×D4 | — | 2 | 6 | no | — |
| 410 | C2×C32×C4 | — | 2 | 3 | no | — |
| 411 | C2×C32×C4 | #465 | 1 | 3 | yes | complemented |
| 412 | #638 | — | 2 | 6 | no | — |
| 413 | #638 | — | 2 | 6 | no | — |
| 414 | #638 | — | 2 | 6 | no | — |
| 415 | C2×C3⋊Dic3 | — | 2 | 3 | no | — |
| 416 | C2×C3⋊Dic3 | #465 | 1 | 3 | yes | complemented |
| 417 | C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 418 | C4⋊(C3⋊D3) | — | 2 | 6 | no | — |
| 419 | C4×C3⋊D3 | — | 2 | 6 | no | — |
| 420 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 421 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 422 | #634 | — | 2 | 3 | no | — |
| 423 | C3×#67 | — | 16 | 6 | no | — |
| 424 | C2×C3×Dic3 | — | 8 | 3 | no | — |
| 425 | #626 | — | 16 | 6 | no | — |
| 426 | #624 | — | 8 | 3 | no | — |
| 427 | #624 | — | 8 | 3 | no | — |
| 428 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 429 | C23×Q8 | — | 9 | 1 | no | — |
| 430 | C23×D4 | — | 9 | 1 | no | — |
| 431 | C22×SD16 | — | 18 | 3 | no | — |
| 432 | C22×SD16 | — | 18 | 3 | no | — |
| 433 | C22×SD16 | — | 36 | 4 | no | — |
| 434 | C23×C8 | — | 9 | 1 | no | — |
| 435 | C23×C8 | — | 9 | 3 | no | — |
| 436 | C23×C8 | — | 18 | 1 | no | — |
| 437 | C2×C22⋊Q8 | — | 18 | 3 | no | — |
| 438 | C2×#121 | — | 18 | 3 | no | — |
| 439 | C2×#120 | — | 18 | 3 | no | — |
| 440 | #520 | — | 18 | 3 | no | — |
| 441 | #518 | — | 9 | 3 | no | — |
| 442 | #518 | — | 18 | 3 | no | — |
| 443 | C4×#41 | — | 18 | 3 | no | — |
| 444 | C2×C4×D4 | — | 9 | 3 | no | — |
| 445 | C2×C4×D4 | — | 18 | 3 | no | — |
| 446 | #465 | — | 36 | 12 | no | — |
| 447 | B(4,𝔽2) | — | 12 | 1 | no | — |
| 448 | B(4,𝔽2) | — | 36 | 3 | no | — |
| 449 | C8×Q8 | — | 18 | 1 | no | — |
| 450 | C8×Q8 | — | 18 | 3 | no | — |
| 451 | C8×D4 | — | 18 | 6 | no | — |
| 452 | C8×D4 | — | 18 | 6 | no | — |
| 453 | C8×D4 | — | 18 | 6 | no | — |
| 454 | C8×D4 | — | 18 | 6 | no | — |
| 455 | C8×D4 | — | 18 | 3 | no | — |
| 456 | C8×D4 | — | 18 | 6 | no | — |
| 457 | C8×D4 | — | 18 | 3 | no | — |
| 458 | #431 | — | 18 | 3 | no | — |
| 459 | #431 | — | 18 | 6 | no | — |
| 460 | C2×#106 | — | 18 | 3 | no | — |
| 461 | C2×C4⋊C8 | — | 9 | 3 | no | — |
| 462 | C2×C4⋊C8 | — | 18 | 3 | no | — |
| 463 | C2×#103 | — | 18 | 3 | no | — |
| 464 | C2×#103 | — | 18 | 3 | no | — |
| 465 | C2×#102 | — | 18 | 3 | no | — |
| 466 | C2×#102 | — | 18 | 3 | no | — |
| 467 | C2×#99 | — | 18 | 3 | no | — |
| 468 | C2×#99 | — | 18 | 3 | no | — |
| 469 | C2×C22⋊C8 | — | 9 | 3 | no | — |
| 470 | C2×C22⋊C8 | — | 9 | 3 | no | — |
| 471 | C2×C22⋊C8 | — | 18 | 3 | no | — |
| 472 | C2×C22⋊C8 | — | 18 | 3 | no | — |
| 473 | C2×C4×C8 | — | 9 | 3 | no | — |
| 474 | C2×C4×C8 | — | 18 | 3 | no | — |
| 475 | #395 | — | 18 | 3 | no | — |
| 476 | #394 | — | 18 | 3 | no | — |
| 477 | #393 | — | 18 | 3 | no | — |
| 478 | #392 | — | 18 | 3 | no | — |
| 479 | #391 | — | 18 | 3 | no | — |
| 480 | #390 | — | 18 | 3 | no | — |
| 481 | #386 | — | 18 | 3 | no | — |
| 482 | #385 | — | 18 | 3 | no | — |
| 483 | #380 | — | 9 | 3 | no | — |
| 484 | #380 | — | 9 | 3 | no | — |
| 485 | #379 | — | 18 | 3 | no | — |
| 486 | #342 | — | 18 | 3 | no | — |
| 487 | #342 | — | 18 | 3 | no | — |
| 488 | #340 | — | 18 | 3 | no | — |
| 489 | C24×C3 | — | 12 | 1 | no | — |
| 490 | C23×D3 | — | 4 | 1 | no | — |
| 491 | C23×D3 | — | 12 | 1 | no | — |
| 492 | C23×D3 | — | 12 | 3 | no | — |
| 493 | C23×D3 | — | 24 | 1 | no | — |
| 494 | C23×D3 | — | 24 | 3 | no | — |
| 495 | C23×D3 | — | 24 | 3 | no | — |
| 496 | C23×D3 | — | 48 | 2 | no | — |
| 497 | C23×D3 | — | 48 | 2 | no | — |
| 498 | C3×#41 | — | 8 | 3 | no | — |
| 499 | C2×C3×D4 | — | 4 | 3 | no | — |
| 500 | C2×C3×D4 | — | 8 | 3 | no | — |
| 501 | C2×C3×D4 | — | 24 | 3 | no | — |
| 502 | C2×#67 | — | 8 | 3 | no | — |
| 503 | C2×#67 | — | 12 | 3 | no | — |
| 504 | C2×#67 | — | 12 | 3 | no | — |
| 505 | C2×#67 | — | 24 | 3 | no | — |
| 506 | C2×#67 | — | 24 | 3 | no | — |
| 507 | C2×#67 | — | 24 | 3 | no | — |
| 508 | #239 | — | 24 | 3 | no | — |
| 509 | D3×Q8 | — | 24 | 1 | no | — |
| 510 | #237 | — | 24 | 6 | no | — |
| 511 | #237 | — | 24 | 3 | no | — |
| 512 | D3×D4 | — | 24 | 6 | no | — |
| 513 | D3×D4 | — | 24 | 6 | no | — |
| 514 | D3×D4 | — | 24 | 6 | no | — |
| 515 | D3×D4 | — | 24 | 3 | no | — |
| 516 | D3×D4 | — | 24 | 6 | no | — |
| 517 | D3×D4 | — | 48 | 6 | no | — |
| 518 | D3×D4 | — | 48 | 6 | no | — |
| 519 | #235 | — | 24 | 3 | no | — |
| 520 | #235 | — | 24 | 6 | no | — |
| 521 | C2×D12 | — | 12 | 3 | no | — |
| 522 | C2×D12 | — | 24 | 3 | no | — |
| 523 | C2×D12 | — | 24 | 3 | no | — |
| 524 | C2×C4×D3 | — | 12 | 3 | no | — |
| 525 | C2×C4×D3 | — | 24 | 3 | no | — |
| 526 | C2×C4×D3 | — | 24 | 3 | no | — |
| 527 | C3×C22⋊C4 | — | 12 | 3 | no | — |
| 528 | C3×C22⋊C4 | — | 24 | 3 | no | — |
| 529 | #217 | — | 4 | 3 | no | — |
| 530 | #217 | — | 24 | 3 | no | — |
| 531 | (C2×D3)⋊C4 | — | 8 | 3 | no | — |
| 532 | (C2×D3)⋊C4 | — | 24 | 3 | no | — |
| 533 | (C2×D3)⋊C4 | — | 24 | 3 | no | — |
| 534 | C22×C32 | — | 2 | 3 | no | — |
| 535 | C22×C32 | — | 4 | 1 | no | — |
| 536 | C22×C32 | — | 4 | 3 | no | — |
| 537 | C22×C32 | — | 8 | 1 | no | — |
| 538 | C22×C32 | C2×#465 | 1 | 3 | yes | — |
| 539 | C2×C3⋊D3 | — | 2 | 3 | no | — |
| 540 | C2×C3⋊D3 | — | 2 | 3 | no | — |
| 541 | C2×C3⋊D3 | — | 2 | 3 | no | — |
| 542 | C2×C3⋊D3 | — | 4 | 3 | no | — |
| 543 | C2×C3⋊D3 | — | 4 | 3 | no | — |
| 544 | C2×C3⋊D3 | — | 4 | 3 | no | — |
| 545 | C2×C3⋊D3 | — | 4 | 3 | no | — |
| 546 | C2×C3⋊D3 | — | 8 | 3 | no | — |
| 547 | C2×C3⋊D3 | — | 8 | 3 | no | — |
| 548 | C2×C3⋊D3 | #2847 | 1 | 1 | yes | characteristic |
| 549 | C2×C3⋊D3 | #3050 | 1 | 3 | yes | — |
| 550 | C2×C3×D3 | — | 8 | 6 | no | — |
| 551 | C2×C3×D3 | — | 16 | 3 | no | — |
| 552 | C2×C3×D3 | — | 16 | 1 | no | — |
| 553 | D32 | — | 8 | 6 | no | — |
| 554 | D32 | — | 8 | 2 | no | — |
| 555 | D32 | — | 16 | 3 | no | — |
| 556 | D32 | — | 16 | 1 | no | — |
| 557 | #157 | — | 2 | 3 | no | — |
| 558 | #157 | — | 4 | 3 | no | — |
| 559 | #157 | — | 4 | 3 | no | — |
| 560 | #157 | — | 8 | 2 | no | — |
| 561 | #157 | — | 16 | 3 | no | — |
| 562 | #157 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 563 | #157 | #3027 | 1 | 1 | yes | characteristic |
| 564 | C32×C4 | — | 2 | 3 | no | — |
| 565 | C3⋊Dic3 | — | 2 | 3 | no | — |
| 566 | C3×Dic3 | — | 16 | 3 | no | — |
| 567 | C25 | — | 18 | 1 | no | — |
| 568 | H(5,𝔽2) | — | 9 | 3 | no | — |
| 569 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 570 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 571 | H(5,𝔽2) | AΓL(1,𝔽9) | 1 | 1 | yes | characteristic, complemented |
| 572 | C2×#41 | — | 18 | 3 | no | — |
| 573 | C22×Q8 | — | 18 | 3 | no | — |
| 574 | C22×Q8 | — | 18 | 3 | no | — |
| 575 | C22×Q8 | — | 36 | 2 | no | — |
| 576 | C22×Q8 | — | 72 | 1 | no | — |
| 577 | C22×D4 | — | 9 | 3 | no | — |
| 578 | C22×D4 | — | 18 | 3 | no | — |
| 579 | C22×D4 | — | 18 | 3 | no | — |
| 580 | C22×D4 | — | 18 | 3 | no | — |
| 581 | C22×D4 | — | 36 | 2 | no | — |
| 582 | C22×D4 | — | 36 | 3 | no | — |
| 583 | C22×D4 | — | 72 | 1 | no | — |
| 584 | C23×C4 | — | 9 | 1 | no | — |
| 585 | C23×C4 | — | 9 | 3 | no | — |
| 586 | C23×C4 | — | 18 | 1 | no | — |
| 587 | C23×C4 | — | 18 | 1 | no | — |
| 588 | C2×SD16 | — | 18 | 12 | no | — |
| 589 | C2×SD16 | — | 36 | 1 | no | — |
| 590 | C2×SD16 | — | 36 | 3 | no | — |
| 591 | C2×SD16 | — | 36 | 6 | no | — |
| 592 | C2×SD16 | — | 36 | 6 | no | — |
| 593 | C2×SD16 | — | 36 | 6 | no | — |
| 594 | C22×C8 | — | 9 | 3 | no | — |
| 595 | C22×C8 | — | 9 | 3 | no | — |
| 596 | C22×C8 | — | 9 | 3 | no | — |
| 597 | C22×C8 | — | 9 | 3 | no | — |
| 598 | C22×C8 | — | 18 | 3 | no | — |
| 599 | C22×C8 | — | 18 | 3 | no | — |
| 600 | C22×C8 | — | 18 | 3 | no | — |
| 601 | C22×C8 | — | 18 | 3 | no | — |
| 602 | C22×C8 | — | 36 | 2 | no | — |
| 603 | C22×C8 | — | 36 | 6 | no | — |
| 604 | C22×C8 | — | 72 | 2 | no | — |
| 605 | C22⋊Q8 | — | 36 | 6 | no | — |
| 606 | C22⋊Q8 | — | 72 | 3 | no | — |
| 607 | #121 | — | 36 | 6 | no | — |
| 608 | #121 | — | 72 | 3 | no | — |
| 609 | #120 | — | 12 | 3 | no | — |
| 610 | #120 | — | 36 | 3 | no | — |
| 611 | #120 | — | 36 | 3 | no | — |
| 612 | #120 | — | 36 | 3 | no | — |
| 613 | C4×Q8 | — | 18 | 1 | no | — |
| 614 | C4×Q8 | — | 18 | 3 | no | — |
| 615 | C4×D4 | — | 18 | 6 | no | — |
| 616 | C4×D4 | — | 18 | 6 | no | — |
| 617 | C4×D4 | — | 18 | 6 | no | — |
| 618 | C4×D4 | — | 18 | 6 | no | — |
| 619 | C4×D4 | — | 18 | 3 | no | — |
| 620 | C4×D4 | — | 18 | 6 | no | — |
| 621 | C4×D4 | — | 18 | 3 | no | — |
| 622 | #117 | — | 18 | 3 | no | — |
| 623 | #117 | — | 18 | 6 | no | — |
| 624 | C2×C4⋊C4 | — | 9 | 3 | no | — |
| 625 | C2×C4⋊C4 | — | 18 | 3 | no | — |
| 626 | C2×C4⋊C4 | — | 18 | 3 | no | — |
| 627 | C2×C4⋊C4 | — | 18 | 3 | no | — |
| 628 | C2×C4⋊C4 | — | 36 | 3 | no | — |
| 629 | C2×C22⋊C4 | — | 9 | 3 | no | — |
| 630 | C2×C22⋊C4 | — | 9 | 3 | no | — |
| 631 | C2×C22⋊C4 | — | 18 | 3 | no | — |
| 632 | C2×C22⋊C4 | — | 18 | 3 | no | — |
| 633 | C2×C22⋊C4 | — | 18 | 3 | no | — |
| 634 | C2×C22⋊C4 | — | 18 | 3 | no | — |
| 635 | C2×C22⋊C4 | — | 36 | 3 | no | — |
| 636 | C2×C22⋊C4 | — | 36 | 3 | no | — |
| 637 | C2×C22⋊C4 | — | 36 | 3 | no | — |
| 638 | C2×C22⋊C4 | — | 36 | 3 | no | — |
| 639 | C2×C42 | — | 9 | 3 | no | — |
| 640 | C2×C42 | — | 18 | 3 | no | — |
| 641 | #106 | — | 36 | 6 | no | — |
| 642 | C4⋊C8 | — | 18 | 6 | no | — |
| 643 | C4⋊C8 | — | 18 | 3 | no | — |
| 644 | C4⋊C8 | — | 18 | 3 | no | — |
| 645 | #103 | — | 36 | 6 | no | — |
| 646 | #103 | — | 72 | 3 | no | — |
| 647 | #102 | — | 36 | 6 | no | — |
| 648 | #102 | — | 72 | 3 | no | — |
| 649 | #99 | — | 12 | 3 | no | — |
| 650 | #99 | — | 36 | 3 | no | — |
| 651 | #99 | — | 36 | 3 | no | — |
| 652 | #99 | — | 36 | 3 | no | — |
| 653 | C22⋊C8 | — | 18 | 6 | no | — |
| 654 | C22⋊C8 | — | 18 | 6 | no | — |
| 655 | C22⋊C8 | — | 18 | 6 | no | — |
| 656 | C4×C8 | — | 18 | 3 | no | — |
| 657 | C4×C8 | — | 18 | 3 | no | — |
| 658 | C4×C8 | — | 18 | 6 | no | — |
| 659 | #95 | — | 18 | 3 | no | — |
| 660 | #95 | — | 18 | 3 | no | — |
| 661 | #95 | — | 36 | 3 | no | — |
| 662 | #95 | — | 36 | 3 | no | — |
| 663 | C23×C3 | — | 4 | 3 | no | — |
| 664 | C23×C3 | — | 4 | 1 | no | — |
| 665 | C23×C3 | — | 8 | 1 | no | — |
| 666 | C23×C3 | — | 24 | 3 | no | — |
| 667 | C23×C3 | — | 48 | 2 | no | — |
| 668 | C22×D3 | — | 8 | 3 | no | — |
| 669 | C22×D3 | — | 12 | 3 | no | — |
| 670 | C22×D3 | — | 12 | 3 | no | — |
| 671 | C22×D3 | — | 12 | 3 | no | — |
| 672 | C22×D3 | — | 16 | 2 | no | — |
| 673 | C22×D3 | — | 24 | 3 | no | — |
| 674 | C22×D3 | — | 24 | 3 | no | — |
| 675 | C22×D3 | — | 24 | 3 | no | — |
| 676 | C22×D3 | — | 24 | 6 | no | — |
| 677 | C22×D3 | — | 24 | 6 | no | — |
| 678 | C22×D3 | — | 48 | 1 | no | — |
| 679 | C22×D3 | — | 48 | 1 | no | — |
| 680 | C22×D3 | — | 48 | 3 | no | — |
| 681 | C22×D3 | — | 48 | 3 | no | — |
| 682 | C22×D3 | — | 48 | 1 | no | — |
| 683 | C22×D3 | — | 48 | 3 | no | — |
| 684 | C22×D3 | — | 48 | 3 | no | — |
| 685 | C22×D3 | — | 48 | 3 | no | — |
| 686 | C22×D3 | — | 48 | 6 | no | — |
| 687 | C22×D3 | — | 48 | 6 | no | — |
| 688 | C22×D3 | — | 96 | 1 | no | — |
| 689 | C22×D3 | — | 96 | 1 | no | — |
| 690 | C3×Q8 | — | 8 | 1 | no | — |
| 691 | C3×D4 | — | 8 | 6 | no | — |
| 692 | C3×D4 | — | 8 | 3 | no | — |
| 693 | C3×D4 | — | 48 | 6 | no | — |
| 694 | C2×C3×C4 | — | 4 | 3 | no | — |
| 695 | C2×C3×C4 | — | 8 | 3 | no | — |
| 696 | C2×C3×C4 | — | 24 | 3 | no | — |
| 697 | #67 | — | 16 | 6 | no | — |
| 698 | #67 | — | 24 | 6 | no | — |
| 699 | #67 | — | 24 | 6 | no | — |
| 700 | #67 | — | 24 | 6 | no | — |
| 701 | #67 | — | 48 | 6 | no | — |
| 702 | C2×Dic3 | — | 8 | 3 | no | — |
| 703 | C2×Dic3 | — | 12 | 3 | no | — |
| 704 | C2×Dic3 | — | 24 | 3 | no | — |
| 705 | D12 | — | 24 | 6 | no | — |
| 706 | D12 | — | 24 | 3 | no | — |
| 707 | D12 | — | 48 | 6 | no | — |
| 708 | C4×D3 | — | 24 | 3 | no | — |
| 709 | C4×D3 | — | 24 | 3 | no | — |
| 710 | C4×D3 | — | 24 | 6 | no | — |
| 711 | C4×D3 | — | 48 | 3 | no | — |
| 712 | C4×D3 | — | 48 | 3 | no | — |
| 713 | Dic6 | — | 24 | 3 | no | — |
| 714 | C2×C32 | — | 2 | 3 | no | — |
| 715 | C2×C32 | — | 4 | 3 | no | — |
| 716 | C2×C32 | #32929 | 1 | 1 | yes | characteristic |
| 717 | C3⋊D3 | — | 2 | 3 | no | — |
| 718 | C3⋊D3 | — | 4 | 3 | no | — |
| 719 | C3⋊D3 | #32926 | 1 | 1 | yes | characteristic |
| 720 | C3⋊D3 | #32947 | 1 | 1 | yes | characteristic |
| 721 | C3×D3 | — | 16 | 2 | no | — |
| 722 | C24 | — | 9 | 1 | no | — |
| 723 | C24 | — | 9 | 3 | no | — |
| 724 | C24 | — | 12 | 1 | no | — |
| 725 | C24 | — | 18 | 1 | no | — |
| 726 | C24 | — | 36 | 3 | no | — |
| 727 | C24 | — | 36 | 3 | no | — |
| 728 | C24 | — | 72 | 2 | no | — |
| 729 | C24 | — | 144 | 1 | no | — |
| 730 | #41 | — | 2 | 3 | no | — |
| 731 | #41 | — | 18 | 6 | no | — |
| 732 | #41 | — | 18 | 6 | no | — |
| 733 | #41 | — | 18 | 3 | no | — |
| 734 | #41 | — | 18 | 3 | no | — |
| 735 | #41 | — | 18 | 3 | no | — |
| 736 | C2×Q8 | — | 18 | 1 | no | — |
| 737 | C2×Q8 | — | 18 | 6 | no | — |
| 738 | C2×Q8 | — | 36 | 1 | no | — |
| 739 | C2×Q8 | — | 36 | 3 | no | — |
| 740 | C2×Q8 | — | 36 | 3 | no | — |
| 741 | C2×Q8 | — | 36 | 3 | no | — |
| 742 | C2×Q8 | — | 36 | 3 | no | — |
| 743 | C2×Q8 | — | 72 | 6 | no | — |
| 744 | C2×D4 | — | 2 | 3 | no | — |
| 745 | C2×D4 | — | 9 | 3 | no | — |
| 746 | C2×D4 | — | 9 | 3 | no | — |
| 747 | C2×D4 | — | 9 | 3 | no | — |
| 748 | C2×D4 | — | 18 | 3 | no | — |
| 749 | C2×D4 | — | 18 | 6 | no | — |
| 750 | C2×D4 | — | 18 | 6 | no | — |
| 751 | C2×D4 | — | 18 | 6 | no | — |
| 752 | C2×D4 | — | 18 | 3 | no | — |
| 753 | C2×D4 | — | 18 | 6 | no | — |
| 754 | C2×D4 | — | 18 | 3 | no | — |
| 755 | C2×D4 | — | 18 | 3 | no | — |
| 756 | C2×D4 | — | 18 | 6 | no | — |
| 757 | C2×D4 | — | 24 | 3 | no | — |
| 758 | C2×D4 | — | 36 | 1 | no | — |
| 759 | C2×D4 | — | 36 | 3 | no | — |
| 760 | C2×D4 | — | 36 | 3 | no | — |
| 761 | C2×D4 | — | 36 | 3 | no | — |
| 762 | C2×D4 | — | 36 | 3 | no | — |
| 763 | C2×D4 | — | 72 | 3 | no | — |
| 764 | C2×D4 | — | 72 | 6 | no | — |
| 765 | C2×D4 | — | 72 | 6 | no | — |
| 766 | C2×D4 | — | 144 | 3 | no | — |
| 767 | C2×D4 | C2×AΓL(1,𝔽9) | 1 | 3 | yes | — |
| 768 | C22×C4 | — | 9 | 3 | no | — |
| 769 | C22×C4 | — | 9 | 3 | no | — |
| 770 | C22×C4 | — | 9 | 3 | no | — |
| 771 | C22×C4 | — | 9 | 3 | no | — |
| 772 | C22×C4 | — | 9 | 3 | no | — |
| 773 | C22×C4 | — | 18 | 3 | no | — |
| 774 | C22×C4 | — | 18 | 3 | no | — |
| 775 | C22×C4 | — | 18 | 3 | no | — |
| 776 | C22×C4 | — | 18 | 3 | no | — |
| 777 | C22×C4 | — | 18 | 3 | no | — |
| 778 | C22×C4 | — | 36 | 1 | no | — |
| 779 | C22×C4 | — | 36 | 1 | no | — |
| 780 | C22×C4 | — | 36 | 3 | no | — |
| 781 | C22×C4 | — | 36 | 3 | no | — |
| 782 | C22×C4 | — | 36 | 3 | no | — |
| 783 | C22×C4 | — | 36 | 3 | no | — |
| 784 | C22×C4 | — | 36 | 3 | no | — |
| 785 | C22×C4 | — | 72 | 2 | no | — |
| 786 | C22×C4 | — | 72 | 1 | no | — |
| 787 | C22×C4 | — | 72 | 1 | no | — |
| 788 | SD16 | — | 36 | 4 | no | — |
| 789 | SD16 | — | 36 | 12 | no | — |
| 790 | C2×C8 | — | 9 | 1 | no | — |
| 791 | C2×C8 | — | 9 | 3 | no | — |
| 792 | C2×C8 | — | 18 | 6 | no | — |
| 793 | C2×C8 | — | 18 | 3 | no | — |
| 794 | C2×C8 | — | 18 | 3 | no | — |
| 795 | C2×C8 | — | 36 | 6 | no | — |
| 796 | C2×C8 | — | 36 | 3 | no | — |
| 797 | C2×C8 | — | 36 | 3 | no | — |
| 798 | C2×C8 | — | 36 | 3 | no | — |
| 799 | C2×C8 | — | 72 | 3 | no | — |
| 800 | C2×C8 | — | 72 | 3 | no | — |
| 801 | C2×C8 | — | 72 | 3 | no | — |
| 802 | C4⋊C4 | — | 18 | 6 | no | — |
| 803 | C4⋊C4 | — | 18 | 3 | no | — |
| 804 | C4⋊C4 | — | 18 | 3 | no | — |
| 805 | C4⋊C4 | — | 36 | 3 | no | — |
| 806 | C4⋊C4 | — | 36 | 3 | no | — |
| 807 | C4⋊C4 | — | 36 | 3 | no | — |
| 808 | C4⋊C4 | — | 36 | 3 | no | — |
| 809 | C4⋊C4 | — | 72 | 6 | no | — |
| 810 | C22⋊C4 | — | 12 | 3 | no | — |
| 811 | C22⋊C4 | — | 18 | 6 | no | — |
| 812 | C22⋊C4 | — | 18 | 6 | no | — |
| 813 | C22⋊C4 | — | 18 | 6 | no | — |
| 814 | C22⋊C4 | — | 24 | 3 | no | — |
| 815 | C22⋊C4 | — | 36 | 3 | no | — |
| 816 | C22⋊C4 | — | 36 | 6 | no | — |
| 817 | C22⋊C4 | — | 72 | 3 | no | — |
| 818 | C22⋊C4 | — | 72 | 6 | no | — |
| 819 | C22⋊C4 | — | 72 | 6 | no | — |
| 820 | C22⋊C4 | — | 144 | 3 | no | — |
| 821 | C42 | — | 18 | 3 | no | — |
| 822 | C42 | — | 18 | 3 | no | — |
| 823 | C42 | — | 18 | 6 | no | — |
| 824 | C22×C3 | — | 4 | 3 | no | — |
| 825 | C22×C3 | — | 8 | 3 | no | — |
| 826 | C22×C3 | — | 16 | 1 | no | — |
| 827 | C22×C3 | — | 16 | 3 | no | — |
| 828 | C22×C3 | — | 24 | 6 | no | — |
| 829 | C22×C3 | — | 32 | 1 | no | — |
| 830 | C22×C3 | — | 48 | 1 | no | — |
| 831 | C22×C3 | — | 48 | 3 | no | — |
| 832 | C2×D3 | — | 8 | 6 | no | — |
| 833 | C2×D3 | — | 12 | 1 | no | — |
| 834 | C2×D3 | — | 12 | 3 | no | — |
| 835 | C2×D3 | — | 16 | 1 | no | — |
| 836 | C2×D3 | — | 16 | 3 | no | — |
| 837 | C2×D3 | — | 24 | 3 | no | — |
| 838 | C2×D3 | — | 24 | 3 | no | — |
| 839 | C2×D3 | — | 24 | 3 | no | — |
| 840 | C2×D3 | — | 48 | 3 | no | — |
| 841 | C2×D3 | — | 48 | 3 | no | — |
| 842 | C2×D3 | — | 48 | 3 | no | — |
| 843 | C2×D3 | — | 48 | 3 | no | — |
| 844 | C2×D3 | — | 48 | 2 | no | — |
| 845 | C2×D3 | — | 48 | 6 | no | — |
| 846 | C2×D3 | — | 48 | 2 | no | — |
| 847 | C2×D3 | — | 48 | 6 | no | — |
| 848 | C2×D3 | — | 96 | 3 | no | — |
| 849 | C2×D3 | — | 96 | 3 | no | — |
| 850 | C3×C4 | — | 8 | 3 | no | — |
| 851 | C3×C4 | — | 48 | 3 | no | — |
| 852 | Dic3 | — | 16 | 3 | no | — |
| 853 | Dic3 | — | 24 | 3 | no | — |
| 854 | C32 | #348098 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 855 | C23 | — | 2 | 1 | no | — |
| 856 | C23 | — | 9 | 3 | no | — |
| 857 | C23 | — | 9 | 3 | no | — |
| 858 | C23 | — | 9 | 3 | no | — |
| 859 | C23 | — | 18 | 3 | no | — |
| 860 | C23 | — | 18 | 3 | no | — |
| 861 | C23 | — | 18 | 3 | no | — |
| 862 | C23 | — | 24 | 3 | no | — |
| 863 | C23 | — | 36 | 1 | no | — |
| 864 | C23 | — | 36 | 1 | no | — |
| 865 | C23 | — | 36 | 3 | no | — |
| 866 | C23 | — | 36 | 3 | no | — |
| 867 | C23 | — | 36 | 6 | no | — |
| 868 | C23 | — | 48 | 2 | no | — |
| 869 | C23 | — | 72 | 1 | no | — |
| 870 | C23 | — | 72 | 1 | no | — |
| 871 | C23 | — | 72 | 1 | no | — |
| 872 | C23 | — | 72 | 3 | no | — |
| 873 | C23 | — | 72 | 3 | no | — |
| 874 | C23 | — | 72 | 3 | no | — |
| 875 | C23 | — | 72 | 3 | no | — |
| 876 | C23 | — | 144 | 6 | no | — |
| 877 | C23 | #10596416 | 1 | 3 | yes | complemented |
| 878 | C23 | C22×AΓL(1,𝔽9) | 1 | 1 | yes | characteristic |
| 879 | Q8 | — | 2 | 1 | no | — |
| 880 | Q8 | — | 18 | 3 | no | — |
| 881 | Q8 | — | 36 | 2 | no | — |
| 882 | Q8 | — | 36 | 6 | no | — |
| 883 | Q8 | — | 72 | 1 | no | — |
| 884 | Q8 | — | 72 | 3 | no | — |
| 885 | D4 | — | 2 | 3 | no | — |
| 886 | D4 | — | 2 | 6 | no | — |
| 887 | D4 | — | 18 | 6 | no | — |
| 888 | D4 | — | 18 | 3 | no | — |
| 889 | D4 | — | 18 | 6 | no | — |
| 890 | D4 | — | 18 | 6 | no | — |
| 891 | D4 | — | 18 | 6 | no | — |
| 892 | D4 | — | 36 | 2 | no | — |
| 893 | D4 | — | 36 | 6 | no | — |
| 894 | D4 | — | 48 | 6 | no | — |
| 895 | D4 | — | 72 | 1 | no | — |
| 896 | D4 | — | 72 | 3 | no | — |
| 897 | D4 | — | 144 | 6 | no | — |
| 898 | C2×C4 | — | 2 | 3 | no | — |
| 899 | C2×C4 | — | 9 | 1 | no | — |
| 900 | C2×C4 | — | 9 | 3 | no | — |
| 901 | C2×C4 | — | 9 | 3 | no | — |
| 902 | C2×C4 | — | 18 | 3 | no | — |
| 903 | C2×C4 | — | 18 | 3 | no | — |
| 904 | C2×C4 | — | 18 | 6 | no | — |
| 905 | C2×C4 | — | 18 | 3 | no | — |
| 906 | C2×C4 | — | 18 | 3 | no | — |
| 907 | C2×C4 | — | 18 | 3 | no | — |
| 908 | C2×C4 | — | 18 | 3 | no | — |
| 909 | C2×C4 | — | 18 | 3 | no | — |
| 910 | C2×C4 | — | 24 | 3 | no | — |
| 911 | C2×C4 | — | 36 | 3 | no | — |
| 912 | C2×C4 | — | 36 | 3 | no | — |
| 913 | C2×C4 | — | 36 | 3 | no | — |
| 914 | C2×C4 | — | 36 | 3 | no | — |
| 915 | C2×C4 | — | 36 | 3 | no | — |
| 916 | C2×C4 | — | 36 | 6 | no | — |
| 917 | C2×C4 | — | 72 | 3 | no | — |
| 918 | C2×C4 | — | 72 | 3 | no | — |
| 919 | C2×C4 | — | 72 | 3 | no | — |
| 920 | C2×C4 | — | 72 | 3 | no | — |
| 921 | C2×C4 | — | 72 | 3 | no | — |
| 922 | C2×C4 | — | 72 | 1 | no | — |
| 923 | C2×C4 | — | 72 | 3 | no | — |
| 924 | C2×C4 | — | 72 | 3 | no | — |
| 925 | C2×C4 | — | 72 | 3 | no | — |
| 926 | C2×C4 | — | 72 | 3 | no | — |
| 927 | C2×C4 | #10596416 | 1 | 3 | yes | complemented |
| 928 | C8 | — | 9 | 2 | no | — |
| 929 | C8 | — | 18 | 3 | no | — |
| 930 | C8 | — | 36 | 3 | no | — |
| 931 | C8 | — | 36 | 3 | no | — |
| 932 | C2×C3 | — | 4 | 1 | no | — |
| 933 | C2×C3 | — | 8 | 3 | no | — |
| 934 | C2×C3 | — | 16 | 3 | no | — |
| 935 | C2×C3 | — | 48 | 2 | no | — |
| 936 | D3 | — | 12 | 1 | no | — |
| 937 | D3 | — | 12 | 1 | no | — |
| 938 | D3 | — | 16 | 2 | no | — |
| 939 | D3 | — | 24 | 3 | no | — |
| 940 | D3 | — | 48 | 3 | no | — |
| 941 | C22 | — | 2 | 3 | no | — |
| 942 | C22 | — | 4 | 1 | no | — |
| 943 | C22 | — | 4 | 3 | no | — |
| 944 | C22 | — | 8 | 1 | no | — |
| 945 | C22 | — | 9 | 1 | no | — |
| 946 | C22 | — | 9 | 3 | no | — |
| 947 | C22 | — | 18 | 3 | no | — |
| 948 | C22 | — | 18 | 3 | no | — |
| 949 | C22 | — | 18 | 3 | no | — |
| 950 | C22 | — | 24 | 6 | no | — |
| 951 | C22 | — | 36 | 3 | no | — |
| 952 | C22 | — | 36 | 3 | no | — |
| 953 | C22 | — | 36 | 3 | no | — |
| 954 | C22 | — | 36 | 3 | no | — |
| 955 | C22 | — | 48 | 3 | no | — |
| 956 | C22 | — | 48 | 1 | no | — |
| 957 | C22 | — | 72 | 3 | no | — |
| 958 | C22 | — | 72 | 3 | no | — |
| 959 | C22 | — | 72 | 2 | no | — |
| 960 | C22 | — | 72 | 6 | no | — |
| 961 | C22 | — | 144 | 1 | no | — |
| 962 | C22 | — | 144 | 3 | no | — |
| 963 | C22 | C2×#10596416 | 1 | 3 | yes | — |
| 964 | C4 | — | 2 | 3 | no | — |
| 965 | C4 | — | 9 | 1 | no | — |
| 966 | C4 | — | 9 | 1 | no | — |
| 967 | C4 | — | 18 | 3 | no | — |
| 968 | C4 | — | 18 | 3 | no | — |
| 969 | C4 | — | 36 | 3 | no | — |
| 970 | C4 | — | 36 | 3 | no | — |
| 971 | C4 | — | 48 | 3 | no | — |
| 972 | C4 | — | 72 | 2 | no | — |
| 973 | C4 | — | 144 | 3 | no | — |
| 974 | C3 | — | 4 | 1 | no | — |
| 975 | C2 | — | 2 | 3 | no | — |
| 976 | C2 | — | 4 | 3 | no | — |
| 977 | C2 | — | 9 | 1 | no | — |
| 978 | C2 | — | 9 | 1 | no | — |
| 979 | C2 | — | 18 | 3 | no | — |
| 980 | C2 | — | 36 | 3 | no | — |
| 981 | C2 | — | 48 | 2 | no | — |
| 982 | C2 | #72220546 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72252999 | C2 | semidirect |
| 2. #72252969 | C2 | semidirect |
| 3. #72252938 | C2 | semidirect |
| 5. #72242745 | C2 | semidirect |
| 6. H(5,𝔽2)×AGL(1,𝔽9) | C2 | semidirect |
| 7. #72220545 | C2 | semidirect |
| 8. C23×AΓL(1,𝔽9) | C22 | semidirect |
| 25. #11785362 | C22 | semidirect |
| 29. #11784747 | C22 | semidirect |
| 30. GO+(4,𝔽2)⋊(C22⋊C4) | C22 | semidirect |
| 31. #11770981 | C22 | semidirect |
| 35. C23×AGL(1,𝔽9) | D4 | semidirect |
| 51. C2×C22⋊AGL(1,𝔽9) | D4 | semidirect |
| 65. C2×C4⋊AGL(1,𝔽9) | D4 | semidirect |
| 67. C2×C4×AGL(1,𝔽9) | D4 | semidirect |
| 125. C32×H(5,𝔽2) | SD16 | semidirect |
| 129. #64361 | SD16 | semidirect |
| 352. C23×C32 | #465 | semidirect |
| 363. C22×C3⋊D3 | #465 | semidirect |
| 406. AGL(1,𝔽9) | B(4,𝔽2) | semidirect |
| 411. C2×C32×C4 | #465 | semidirect |
| 416. C2×C3⋊Dic3 | #465 | semidirect |
| 571. H(5,𝔽2) | AΓL(1,𝔽9) | semidirect |
| 854. C32 | #348098 | semidirect |
| 877. C23 | #10596416 | semidirect |
| 927. C2×C4 | #10596416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72252999 | 2 |
| #72252969 | 2 |
| #72252938 | 2 |
| #72242873 | 2 |
| #72242745 | 2 |
| H(5,𝔽2)×AGL(1,𝔽9) | 2 |
| #72220545 | 2 |
| #348098 | 9 |