Finite Group DatabasebetaFinite Group DatabasebetaOrder 10368.
1276 conjugacy classes of subgroups; only the 26 normal subgroups are shown.
This group has 1276 conjugacy classes of subgroups — too many to draw. Only its 26 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 | S4×((C3⋊D3)⋊C3)⋊C2 | — | 4 | 1 | no | maximal |
| 2 | D3×AGL(2,𝔽3) | — | 4 | 1 | no | maximal |
| 3 | S4×AΓL(1,𝔽9) | — | 3 | 1 | no | maximal |
| 4 | #72213290 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | S4×PSU(3,𝔽2)⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | A4×AGL(2,𝔽3) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | A4×PSU(3,𝔽2)⋊C3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 8 | D4×AGL(2,𝔽3) | — | 3 | 1 | no | maximal |
| 9 | S4×PSU(3,𝔽2) | D3 | 1 | 1 | yes | characteristic, complemented |
| 10 | S4×GO+(4,𝔽2) | — | 3 | 1 | no | — |
| 11 | #13181783 | — | 6 | 1 | no | — |
| 12 | C22×AGL(2,𝔽3) | — | 3 | 1 | no | — |
| 13 | C22×AGL(2,𝔽3) | D3 | 1 | 1 | yes | characteristic, complemented |
| 14 | A4×AΓL(1,𝔽9) | — | 3 | 1 | no | — |
| 15 | #13181780 | — | 3 | 1 | no | — |
| 16 | #13181779 | — | 3 | 1 | no | — |
| 17 | AGL(1,𝔽9)⋊S4 | — | 3 | 1 | no | — |
| 18 | S4×AGL(1,𝔽9) | — | 3 | 1 | no | — |
| 19 | D4×PSU(3,𝔽2)⋊C3 | — | 3 | 1 | no | — |
| 20 | #13180131 | — | 3 | 1 | no | — |
| 21 | #13180131 | — | 3 | 1 | no | — |
| 22 | C4⋊AGL(2,𝔽3) | — | 3 | 1 | no | — |
| 23 | C4×AGL(2,𝔽3) | — | 3 | 1 | no | — |
| 24 | D3×PSU(3,𝔽2)⋊C3 | — | 4 | 1 | no | — |
| 25 | C3⋊AGL(2,𝔽3) | — | 4 | 1 | no | — |
| 26 | C3×AGL(2,𝔽3) | — | 4 | 1 | no | — |
| 27 | A4×((C3⋊D3)⋊C3)⋊C2 | — | 4 | 1 | no | — |
| 28 | #13049220 | — | 4 | 1 | no | — |
| 29 | ((C3⋊D3)⋊C3)⋊S4 | — | 4 | 1 | no | — |
| 30 | ((C3⋊D3)⋊C3)⋊S4 | — | 4 | 1 | no | — |
| 31 | S4×#272 | — | 4 | 1 | no | — |
| 32 | S4×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 33 | S4×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 34 | S4×GL(2,𝔽3) | — | 9 | 1 | no | maximal |
| 35 | D4×AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 36 | D32×S4 | — | 6 | 1 | no | — |
| 37 | D32×S4 | — | 12 | 1 | no | — |
| 38 | A4×PSU(3,𝔽2) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 39 | A4×GO+(4,𝔽2) | — | 3 | 1 | no | — |
| 40 | D32⋊S4 | — | 6 | 1 | no | — |
| 41 | #157⋊S4 | — | 3 | 1 | no | — |
| 42 | S4×#157 | — | 3 | 1 | no | — |
| 43 | A4⋊PSU(3,𝔽2) | — | 3 | 1 | no | — |
| 44 | C22⋊(PSU(3,𝔽2)⋊C3) | — | 2 | 1 | no | — |
| 45 | C22×PSU(3,𝔽2)⋊C3 | — | 3 | 1 | no | — |
| 46 | C22×PSU(3,𝔽2)⋊C3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 47 | A4×AGL(1,𝔽9) | — | 3 | 1 | no | — |
| 48 | A4⋊AGL(1,𝔽9) | — | 3 | 1 | no | — |
| 49 | D3×AΓL(1,𝔽9) | — | 12 | 1 | no | — |
| 50 | C2×AGL(2,𝔽3) | — | 3 | 1 | no | — |
| 51 | C2×AGL(2,𝔽3) | — | 3 | 1 | no | — |
| 52 | C2×AGL(2,𝔽3) | — | 3 | 1 | no | — |
| 53 | C2×AGL(2,𝔽3) | — | 6 | 1 | no | — |
| 54 | C2×AGL(2,𝔽3) | — | 6 | 1 | no | — |
| 55 | C4×PSU(3,𝔽2)⋊C3 | — | 3 | 1 | no | — |
| 56 | (PSU(3,𝔽2)⋊C3)⋊C4 | — | 3 | 1 | no | — |
| 57 | D4×((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 58 | C3×PSU(3,𝔽2)⋊C3 | — | 4 | 1 | no | — |
| 59 | A4×#272 | — | 4 | 1 | no | — |
| 60 | A4×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 61 | A4×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 62 | A4⋊#272 | — | 4 | 1 | no | — |
| 63 | A4⋊((C3⋊D3)⋊C3) | — | 4 | 1 | no | — |
| 64 | A4⋊((C3⋊D3)⋊C3) | — | 4 | 1 | no | — |
| 65 | S4×H(3,𝔽3) | — | 4 | 1 | no | — |
| 66 | D3×((C3⋊D3)⋊C3)⋊C2 | — | 16 | 1 | no | — |
| 67 | C22×AΓL(1,𝔽9) | — | 3 | 1 | no | — |
| 68 | C22×AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 69 | D4×PSU(3,𝔽2) | — | 3 | 1 | no | — |
| 70 | D4×GO+(4,𝔽2) | — | 9 | 1 | no | — |
| 71 | D4×AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 72 | #10596418 | — | 9 | 1 | no | — |
| 73 | #10596418 | — | 9 | 1 | no | — |
| 74 | #10596417 | — | 9 | 1 | no | — |
| 75 | #10596417 | — | 9 | 1 | no | — |
| 76 | #10596416 | — | 9 | 1 | no | — |
| 77 | #10596416 | — | 9 | 1 | no | — |
| 78 | #10596410 | — | 9 | 1 | no | — |
| 79 | #10596409 | — | 9 | 1 | no | — |
| 80 | #10596408 | — | 9 | 1 | no | — |
| 81 | C4×AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 82 | A4⋊GL(2,𝔽3) | — | 9 | 1 | no | — |
| 83 | SL(2,𝔽3)×S4 | — | 9 | 1 | no | — |
| 84 | A4×GL(2,𝔽3) | — | 9 | 1 | no | — |
| 85 | D32×A4 | — | 6 | 1 | no | — |
| 86 | D32×A4 | — | 12 | 1 | no | — |
| 87 | #89101 | — | 6 | 1 | no | — |
| 88 | #89101 | — | 12 | 1 | no | — |
| 89 | D3×C3⋊S4 | — | 12 | 1 | no | — |
| 90 | D3×C3⋊S4 | — | 12 | 1 | no | — |
| 91 | D3×C3⋊S4 | — | 12 | 1 | no | — |
| 92 | C3⋊D3×S4 | — | 4 | 1 | no | — |
| 93 | C3⋊D3×S4 | S4 | 1 | 1 | yes | characteristic |
| 94 | C3×D3×S4 | — | 12 | 1 | no | — |
| 95 | C3×D3×S4 | — | 12 | 1 | no | — |
| 96 | C3×D3×S4 | — | 12 | 1 | no | — |
| 97 | C3×D3×S4 | — | 24 | 1 | no | — |
| 98 | A4×#157 | — | 3 | 1 | no | — |
| 99 | A4⋊#157 | — | 3 | 1 | no | — |
| 100 | D3×PSU(3,𝔽2) | — | 4 | 1 | no | — |
| 101 | D3×GO+(4,𝔽2) | — | 12 | 1 | no | — |
| 102 | AGL(1,𝔽9)⋊D3 | — | 12 | 1 | no | — |
| 103 | #89092 | — | 12 | 1 | no | — |
| 104 | #89091 | — | 12 | 1 | no | — |
| 105 | C3×AΓL(1,𝔽9) | — | 12 | 1 | no | — |
| 106 | D3×AGL(1,𝔽9) | — | 12 | 1 | no | — |
| 107 | C2×PSU(3,𝔽2)⋊C3 | — | 3 | 1 | no | — |
| 108 | C2×PSU(3,𝔽2)⋊C3 | — | 6 | 1 | no | — |
| 109 | AGL(2,𝔽3) | — | 3 | 1 | no | — |
| 110 | AGL(2,𝔽3) | — | 6 | 1 | no | — |
| 111 | AGL(2,𝔽3) | — | 24 | 1 | no | — |
| 112 | AGL(2,𝔽3) | — | 24 | 1 | no | — |
| 113 | AGL(2,𝔽3) | S4 | 1 | 1 | yes | characteristic, direct product factor |
| 114 | C22×((C3⋊D3)⋊C3)⋊C2 | — | 4 | 1 | no | — |
| 115 | C22×((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 116 | ((C3⋊S4)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 117 | ((C3⋊S4)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 118 | D4×#272 | — | 12 | 1 | no | — |
| 119 | D4×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 120 | D4×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 121 | #88677 | — | 12 | 1 | no | — |
| 122 | #88677 | — | 12 | 1 | no | — |
| 123 | #88676 | — | 12 | 1 | no | — |
| 124 | #88676 | — | 12 | 1 | no | — |
| 125 | #88676 | — | 12 | 1 | no | — |
| 126 | #88676 | — | 12 | 1 | no | — |
| 127 | #88655 | — | 12 | 1 | no | — |
| 128 | #88654 | — | 12 | 1 | no | — |
| 129 | #88654 | — | 12 | 1 | no | — |
| 130 | C4×((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 131 | SD16×S4 | — | 27 | 1 | no | — |
| 132 | D4×GL(2,𝔽3) | — | 27 | 1 | no | — |
| 133 | A4×H(3,𝔽3) | — | 4 | 1 | no | — |
| 134 | #66432 | — | 16 | 1 | no | — |
| 135 | D3×#272 | — | 16 | 1 | no | — |
| 136 | ((C3⋊D3)⋊C3)⋊D3 | — | 16 | 1 | no | — |
| 137 | ((C3⋊D3)⋊C3)⋊D3 | — | 16 | 1 | no | — |
| 138 | C3×((C3⋊D3)⋊C3)⋊C2 | — | 16 | 1 | no | — |
| 139 | D3×(C3⋊D3)⋊C3 | — | 16 | 1 | no | — |
| 140 | D3×(C3⋊D3)⋊C3 | — | 16 | 1 | no | — |
| 141 | C22×PSU(3,𝔽2) | — | 3 | 1 | no | — |
| 142 | C22×PSU(3,𝔽2) | D32 | 1 | 1 | yes | characteristic, complemented |
| 143 | C22×GO+(4,𝔽2) | — | 3 | 1 | no | — |
| 144 | C22×GO+(4,𝔽2) | — | 9 | 1 | no | — |
| 145 | C22×AGL(1,𝔽9) | — | 3 | 1 | no | — |
| 146 | C22×AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 147 | C2×D3×S4 | — | 36 | 1 | no | — |
| 148 | C2×D3×S4 | — | 36 | 1 | no | — |
| 149 | C2×AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 150 | C2×AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 151 | C2×AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 152 | C2×AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 153 | C2×AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 154 | C2×AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 155 | C2×AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 156 | C2×AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 157 | C2×AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 158 | C2×AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 159 | C2×AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 160 | C2×AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 161 | C2×AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 162 | D32×D4 | — | 18 | 1 | no | — |
| 163 | D32×D4 | — | 36 | 1 | no | — |
| 164 | D4×#157 | — | 9 | 1 | no | — |
| 165 | C22⋊PSU(3,𝔽2) | — | 9 | 1 | no | — |
| 166 | C22⋊PSU(3,𝔽2) | — | 9 | 1 | no | — |
| 167 | C4⋊PSU(3,𝔽2) | — | 9 | 1 | no | — |
| 168 | C4×PSU(3,𝔽2) | — | 3 | 1 | no | — |
| 169 | #64242 | — | 9 | 1 | no | — |
| 170 | #64242 | — | 9 | 1 | no | — |
| 171 | #64241 | — | 18 | 1 | no | — |
| 172 | #64241 | — | 18 | 1 | no | — |
| 173 | #64231 | — | 9 | 1 | no | — |
| 174 | #64230 | — | 18 | 1 | no | — |
| 175 | C4×GO+(4,𝔽2) | — | 9 | 1 | no | — |
| 176 | C22⋊AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 177 | C22⋊AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 178 | C4⋊AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 179 | C4×AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 180 | A4×SL(2,𝔽3) | — | 9 | 1 | no | — |
| 181 | D3×GL(2,𝔽3) | — | 36 | 1 | no | — |
| 182 | AGL(1,𝔽9)⋊C4 | — | 9 | 1 | no | — |
| 183 | PSU(3,𝔽2)⋊C4 | — | 9 | 1 | no | — |
| 184 | PSU(3,𝔽2)⋊C4 | — | 9 | 1 | no | — |
| 185 | PSU(3,𝔽2)⋊C4 | — | 9 | 1 | no | — |
| 186 | GO+(4,𝔽2)⋊C4 | — | 9 | 1 | no | — |
| 187 | GO+(4,𝔽2)⋊C4 | — | 9 | 1 | no | — |
| 188 | GO+(4,𝔽2)⋊C4 | — | 9 | 1 | no | — |
| 189 | A4×C3⋊D3 | — | 4 | 1 | no | — |
| 190 | A4×C3⋊D3 | C2×S4 | 1 | 1 | yes | characteristic |
| 191 | C3×D3×A4 | — | 12 | 1 | no | — |
| 192 | C3×D3×A4 | — | 12 | 1 | no | — |
| 193 | C3×D3×A4 | — | 12 | 1 | no | — |
| 194 | C3×D3×A4 | — | 24 | 1 | no | — |
| 195 | C3⋊(C3⋊S4) | — | 4 | 1 | no | — |
| 196 | C3⋊(C3⋊S4) | GL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 197 | C3×C3⋊S4 | — | 12 | 1 | no | — |
| 198 | C3×C3⋊S4 | — | 12 | 1 | no | — |
| 199 | C3×C3⋊S4 | — | 12 | 1 | no | — |
| 200 | C3×C3⋊S4 | — | 24 | 1 | no | — |
| 201 | C32×S4 | — | 4 | 1 | no | — |
| 202 | C32×S4 | — | 8 | 1 | no | — |
| 203 | C32×S4 | GL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 204 | D33 | — | 24 | 1 | no | — |
| 205 | D33 | — | 48 | 1 | no | — |
| 206 | C3⋊PSU(3,𝔽2) | — | 12 | 1 | no | — |
| 207 | C3×PSU(3,𝔽2) | — | 4 | 1 | no | — |
| 208 | #157⋊D3 | — | 12 | 1 | no | — |
| 209 | D32⋊D3 | — | 24 | 1 | no | — |
| 210 | C3×GO+(4,𝔽2) | — | 12 | 1 | no | — |
| 211 | D3×#157 | — | 12 | 1 | no | — |
| 212 | C3⋊AGL(1,𝔽9) | — | 12 | 1 | no | — |
| 213 | C3×AGL(1,𝔽9) | — | 12 | 1 | no | — |
| 214 | PSU(3,𝔽2)⋊C3 | — | 8 | 1 | no | — |
| 215 | PSU(3,𝔽2)⋊C3 | — | 24 | 1 | no | — |
| 216 | PSU(3,𝔽2)⋊C3 | C2×S4 | 1 | 1 | yes | characteristic, complemented |
| 217 | C22×#272 | — | 4 | 1 | no | — |
| 218 | C22×#272 | — | 12 | 1 | no | — |
| 219 | C22×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 220 | C22×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 221 | C22×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 222 | C22×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 223 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 224 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 225 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 226 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 227 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 228 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 229 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 230 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 231 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 232 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 233 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 234 | (C3⋊D3)⋊A4 | — | 8 | 1 | no | — |
| 235 | (C3⋊D3)⋊A4 | — | 8 | 1 | no | — |
| 236 | #6258 | — | 24 | 1 | no | — |
| 237 | #6258 | — | 24 | 1 | no | — |
| 238 | #6258 | — | 48 | 1 | no | — |
| 239 | (C3⋊S4)⋊C3 | — | 24 | 1 | no | — |
| 240 | (C3⋊S4)⋊C3 | — | 24 | 1 | no | — |
| 241 | D4×H(3,𝔽3) | — | 12 | 1 | no | — |
| 242 | #6235 | — | 12 | 1 | no | — |
| 243 | #6235 | — | 12 | 1 | no | — |
| 244 | C4⋊#272 | — | 12 | 1 | no | — |
| 245 | C4×#272 | — | 12 | 1 | no | — |
| 246 | #638⋊C3 | — | 12 | 1 | no | — |
| 247 | #638⋊C3 | — | 12 | 1 | no | — |
| 248 | #638⋊C3 | — | 12 | 1 | no | — |
| 249 | #638⋊C3 | — | 12 | 1 | no | — |
| 250 | C4⋊((C3⋊D3)⋊C3) | — | 12 | 1 | no | — |
| 251 | C4⋊((C3⋊D3)⋊C3) | — | 12 | 1 | no | — |
| 252 | C4×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 253 | C4×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 254 | #6200 | — | 12 | 1 | no | — |
| 255 | #6200 | — | 12 | 1 | no | — |
| 256 | #6200 | — | 12 | 1 | no | — |
| 257 | #6200 | — | 12 | 1 | no | — |
| 258 | #6199 | — | 12 | 1 | no | — |
| 259 | #6198 | — | 12 | 1 | no | — |
| 260 | #6198 | — | 12 | 1 | no | — |
| 261 | ((C3⋊D3)⋊C3)⋊C4 | — | 12 | 1 | no | — |
| 262 | ((C3⋊D3)⋊C3)⋊C4 | — | 12 | 1 | no | — |
| 263 | #5931 | — | 54 | 1 | no | — |
| 264 | Q8×S4 | — | 9 | 1 | no | — |
| 265 | C22×GL(2,𝔽3) | — | 9 | 1 | no | — |
| 266 | C22×GL(2,𝔽3) | — | 27 | 1 | no | — |
| 267 | D4×S4 | — | 27 | 1 | no | — |
| 268 | A4×SD16 | — | 27 | 1 | no | — |
| 269 | D4×SL(2,𝔽3) | — | 27 | 1 | no | — |
| 270 | #5421 | — | 27 | 1 | no | — |
| 271 | #5421 | — | 27 | 1 | no | — |
| 272 | #5417 | — | 27 | 1 | no | — |
| 273 | #5414 | — | 27 | 1 | no | — |
| 274 | #5401 | — | 27 | 1 | no | — |
| 275 | C8×S4 | — | 27 | 1 | no | — |
| 276 | C4⋊GL(2,𝔽3) | — | 27 | 1 | no | — |
| 277 | C4×GL(2,𝔽3) | — | 27 | 1 | no | — |
| 278 | C3⋊#272 | — | 16 | 1 | no | — |
| 279 | C3×#272 | — | 16 | 1 | no | — |
| 280 | C3⋊((C3⋊D3)⋊C3) | — | 16 | 1 | no | — |
| 281 | C3⋊((C3⋊D3)⋊C3) | — | 16 | 1 | no | — |
| 282 | D3×H(3,𝔽3) | — | 16 | 1 | no | — |
| 283 | C3×(C3⋊D3)⋊C3 | — | 16 | 1 | no | — |
| 284 | C3×(C3⋊D3)⋊C3 | — | 16 | 1 | no | — |
| 285 | C22×D32 | — | 6 | 1 | no | — |
| 286 | C22×D32 | — | 12 | 1 | no | — |
| 287 | C22×D32 | — | 18 | 1 | no | — |
| 288 | C22×D32 | — | 36 | 1 | no | — |
| 289 | C22×#157 | — | 3 | 1 | no | — |
| 290 | C22×#157 | — | 9 | 1 | no | — |
| 291 | C2×D3×A4 | — | 36 | 1 | no | — |
| 292 | C2×D3×A4 | — | 36 | 1 | no | — |
| 293 | C2×C3⋊S4 | — | 36 | 1 | no | — |
| 294 | C2×C3⋊S4 | — | 36 | 1 | no | — |
| 295 | C2×C3×S4 | — | 36 | 1 | no | — |
| 296 | C2×C3×S4 | — | 36 | 1 | no | — |
| 297 | C2×PSU(3,𝔽2) | — | 3 | 1 | no | — |
| 298 | C2×PSU(3,𝔽2) | — | 6 | 1 | no | — |
| 299 | C2×PSU(3,𝔽2) | — | 9 | 1 | no | — |
| 300 | C2×PSU(3,𝔽2) | — | 9 | 1 | no | — |
| 301 | C2×PSU(3,𝔽2) | — | 18 | 1 | no | — |
| 302 | C2×GO+(4,𝔽2) | — | 9 | 1 | no | — |
| 303 | C2×GO+(4,𝔽2) | — | 9 | 1 | no | — |
| 304 | C2×GO+(4,𝔽2) | — | 9 | 1 | no | — |
| 305 | C2×GO+(4,𝔽2) | — | 18 | 1 | no | — |
| 306 | C2×GO+(4,𝔽2) | — | 18 | 1 | no | — |
| 307 | C2×GO+(4,𝔽2) | — | 18 | 1 | no | — |
| 308 | C2×GO+(4,𝔽2) | — | 18 | 1 | no | — |
| 309 | C2×GO+(4,𝔽2) | — | 18 | 1 | no | — |
| 310 | C2×GO+(4,𝔽2) | — | 36 | 1 | no | — |
| 311 | C2×AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 312 | C2×AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 313 | C2×AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 314 | C2×AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 315 | C2×AGL(1,𝔽9) | — | 18 | 1 | no | — |
| 316 | C2×AGL(1,𝔽9) | — | 18 | 1 | no | — |
| 317 | D3×S4 | — | 12 | 1 | no | — |
| 318 | D3×S4 | — | 12 | 1 | no | — |
| 319 | D3×S4 | — | 12 | 1 | no | — |
| 320 | D3×S4 | — | 24 | 1 | no | — |
| 321 | D3×S4 | — | 36 | 1 | no | — |
| 322 | D3×S4 | — | 36 | 1 | no | — |
| 323 | D3×S4 | — | 36 | 1 | no | — |
| 324 | D3×S4 | — | 36 | 1 | no | — |
| 325 | D3×S4 | — | 36 | 1 | no | — |
| 326 | D3×S4 | — | 72 | 1 | no | — |
| 327 | D3×S4 | — | 72 | 1 | no | — |
| 328 | D3×S4 | — | 72 | 1 | no | — |
| 329 | AΓL(1,𝔽9) | — | 3 | 1 | no | — |
| 330 | AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 331 | AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 332 | AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 333 | AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 334 | AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 335 | AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 336 | AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 337 | AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 338 | AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 339 | AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 340 | AΓL(1,𝔽9) | — | 36 | 1 | no | — |
| 341 | AΓL(1,𝔽9) | — | 36 | 1 | no | — |
| 342 | D4×C3⋊D3 | — | 3 | 1 | no | — |
| 343 | D4×C3⋊D3 | — | 12 | 1 | no | — |
| 344 | C3×D3×D4 | — | 36 | 1 | no | — |
| 345 | C3×D3×D4 | — | 36 | 1 | no | — |
| 346 | C3×D3×D4 | — | 36 | 1 | no | — |
| 347 | C3×D3×D4 | — | 72 | 1 | no | — |
| 348 | #3811 | — | 18 | 1 | no | — |
| 349 | #3811 | — | 18 | 1 | no | — |
| 350 | #3811 | — | 36 | 1 | no | — |
| 351 | #3811 | — | 36 | 1 | no | — |
| 352 | D3×#67 | — | 36 | 1 | no | — |
| 353 | D3×#67 | — | 36 | 1 | no | — |
| 354 | D3×#67 | — | 36 | 1 | no | — |
| 355 | D3×#67 | — | 36 | 1 | no | — |
| 356 | D3×#67 | — | 36 | 1 | no | — |
| 357 | D3×#67 | — | 36 | 1 | no | — |
| 358 | #3802 | — | 18 | 1 | no | — |
| 359 | #3802 | — | 36 | 1 | no | — |
| 360 | D3×D12 | — | 36 | 1 | no | — |
| 361 | D3×D12 | — | 36 | 1 | no | — |
| 362 | D3×D12 | — | 36 | 1 | no | — |
| 363 | C4×D32 | — | 18 | 1 | no | — |
| 364 | C4×D32 | — | 36 | 1 | no | — |
| 365 | C22⋊#157 | — | 9 | 1 | no | — |
| 366 | C22⋊#157 | — | 9 | 1 | no | — |
| 367 | C4⋊#157 | — | 9 | 1 | no | — |
| 368 | C4×#157 | — | 9 | 1 | no | — |
| 369 | D3×SL(2,𝔽3) | — | 36 | 1 | no | — |
| 370 | C3⋊GL(2,𝔽3) | — | 36 | 1 | no | — |
| 371 | C3×GL(2,𝔽3) | — | 36 | 1 | no | — |
| 372 | #3777 | — | 9 | 1 | no | — |
| 373 | #3777 | — | 18 | 1 | no | — |
| 374 | #3773 | — | 9 | 1 | no | — |
| 375 | D32⋊C4 | — | 18 | 1 | no | — |
| 376 | D32⋊C4 | — | 18 | 1 | no | — |
| 377 | D32⋊C4 | — | 18 | 1 | no | — |
| 378 | D4×SD16 | — | 81 | 1 | no | Sylow |
| 379 | C32×A4 | — | 4 | 1 | no | — |
| 380 | C32×A4 | — | 8 | 1 | no | — |
| 381 | C32×A4 | C2×GL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 382 | #1113 | — | 24 | 1 | no | — |
| 383 | #1113 | — | 48 | 1 | no | — |
| 384 | D3×C3⋊D3 | — | 4 | 1 | no | — |
| 385 | D3×C3⋊D3 | — | 16 | 1 | no | — |
| 386 | D3×C3⋊D3 | — | 48 | 1 | no | — |
| 387 | D3×C3⋊D3 | — | 48 | 1 | no | — |
| 388 | D3×C3⋊D3 | — | 48 | 1 | no | — |
| 389 | C3×D32 | — | 24 | 1 | no | — |
| 390 | C3×D32 | — | 48 | 1 | no | — |
| 391 | C3×D32 | — | 48 | 1 | no | — |
| 392 | C3×D32 | — | 48 | 1 | no | — |
| 393 | C3×D32 | — | 48 | 1 | no | — |
| 394 | C3×D32 | — | 96 | 1 | no | — |
| 395 | C3⋊#157 | — | 12 | 1 | no | — |
| 396 | C3×#157 | — | 12 | 1 | no | — |
| 397 | C22×H(3,𝔽3) | — | 4 | 1 | no | — |
| 398 | C22×H(3,𝔽3) | — | 12 | 1 | no | — |
| 399 | C2×#272 | — | 12 | 1 | no | — |
| 400 | C2×#272 | — | 12 | 1 | no | — |
| 401 | C2×#272 | — | 12 | 1 | no | — |
| 402 | C2×#272 | — | 24 | 1 | no | — |
| 403 | C2×#272 | — | 24 | 1 | no | — |
| 404 | C2×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 405 | C2×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 406 | C2×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 407 | C2×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 408 | C2×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 409 | C2×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 410 | C2×(C3⋊D3)⋊C3 | — | 24 | 1 | no | — |
| 411 | C2×(C3⋊D3)⋊C3 | — | 24 | 1 | no | — |
| 412 | C2×(C3⋊D3)⋊C3 | — | 24 | 1 | no | — |
| 413 | C2×(C3⋊D3)⋊C3 | — | 24 | 1 | no | — |
| 414 | C22⋊H(3,𝔽3) | — | 8 | 1 | no | — |
| 415 | C22⋊H(3,𝔽3) | — | 8 | 1 | no | — |
| 416 | C22⋊H(3,𝔽3) | — | 16 | 1 | no | — |
| 417 | ((C3⋊D3)⋊C3)⋊C2 | — | 4 | 1 | no | — |
| 418 | ((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 419 | ((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 420 | ((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 421 | ((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 422 | ((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 423 | ((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 424 | ((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 425 | ((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 426 | ((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 427 | ((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 428 | ((C3⋊D3)⋊C3)⋊C2 | — | 96 | 1 | no | — |
| 429 | ((C3⋊D3)⋊C3)⋊C2 | — | 96 | 1 | no | — |
| 430 | C4×H(3,𝔽3) | — | 12 | 1 | no | — |
| 431 | #1084 | — | 12 | 1 | no | — |
| 432 | (C3⋊Dic3)⋊C3 | — | 12 | 1 | no | — |
| 433 | (C3⋊Dic3)⋊C3 | — | 12 | 1 | no | — |
| 434 | C22×S4 | — | 54 | 1 | no | — |
| 435 | C2×D3×D4 | — | 108 | 1 | no | — |
| 436 | C2×D3×D4 | — | 108 | 1 | no | — |
| 437 | C22⋊SL(2,𝔽3) | — | 18 | 1 | no | — |
| 438 | Q8×A4 | — | 9 | 1 | no | — |
| 439 | C22×SL(2,𝔽3) | — | 9 | 1 | no | — |
| 440 | C22×SL(2,𝔽3) | — | 27 | 1 | no | — |
| 441 | D4×A4 | — | 27 | 1 | no | — |
| 442 | GL(2,ℤ/4) | — | 54 | 1 | no | — |
| 443 | C2×GL(2,𝔽3) | — | 27 | 1 | no | — |
| 444 | C2×GL(2,𝔽3) | — | 27 | 1 | no | — |
| 445 | C2×GL(2,𝔽3) | — | 27 | 1 | no | — |
| 446 | C2×GL(2,𝔽3) | — | 54 | 1 | no | — |
| 447 | C2×GL(2,𝔽3) | — | 54 | 1 | no | — |
| 448 | C4⋊S4 | — | 27 | 1 | no | — |
| 449 | C4×S4 | — | 27 | 1 | no | — |
| 450 | A4⋊Q8 | — | 27 | 1 | no | — |
| 451 | D3×SD16 | — | 108 | 1 | no | — |
| 452 | C8×A4 | — | 27 | 1 | no | — |
| 453 | C4×SL(2,𝔽3) | — | 27 | 1 | no | — |
| 454 | #859 | — | 27 | 1 | no | — |
| 455 | A4⋊C8 | — | 27 | 1 | no | — |
| 456 | C3×H(3,𝔽3) | — | 16 | 1 | no | Sylow |
| 457 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 458 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 459 | C22×C3⋊D3 | — | 12 | 1 | no | — |
| 460 | C22×C3⋊D3 | D3×S4 | 1 | 1 | yes | characteristic |
| 461 | C22×C3×D3 | — | 12 | 1 | no | — |
| 462 | C22×C3×D3 | — | 12 | 1 | no | — |
| 463 | C22×C3×D3 | — | 12 | 1 | no | — |
| 464 | C22×C3×D3 | — | 24 | 1 | no | — |
| 465 | C22×C3×D3 | — | 36 | 1 | no | — |
| 466 | C22×C3×D3 | — | 36 | 1 | no | — |
| 467 | C22×C3×D3 | — | 36 | 1 | no | — |
| 468 | C22×C3×D3 | — | 72 | 1 | no | — |
| 469 | C2×C3×A4 | — | 36 | 1 | no | — |
| 470 | C2×C3×A4 | — | 36 | 1 | no | — |
| 471 | C2×D32 | — | 18 | 1 | no | — |
| 472 | C2×D32 | — | 18 | 1 | no | — |
| 473 | C2×D32 | — | 18 | 1 | no | — |
| 474 | C2×D32 | — | 36 | 1 | no | — |
| 475 | C2×D32 | — | 36 | 1 | no | — |
| 476 | C2×D32 | — | 36 | 1 | no | — |
| 477 | C2×D32 | — | 36 | 1 | no | — |
| 478 | C2×D32 | — | 36 | 1 | no | — |
| 479 | C2×D32 | — | 36 | 1 | no | — |
| 480 | C2×D32 | — | 36 | 1 | no | — |
| 481 | C2×D32 | — | 36 | 1 | no | — |
| 482 | C2×D32 | — | 36 | 1 | no | — |
| 483 | C2×D32 | — | 36 | 1 | no | — |
| 484 | C2×D32 | — | 36 | 1 | no | — |
| 485 | C2×D32 | — | 72 | 1 | no | — |
| 486 | C2×D32 | — | 72 | 1 | no | — |
| 487 | C2×D32 | — | 72 | 1 | no | — |
| 488 | C2×D32 | — | 72 | 1 | no | — |
| 489 | C2×D32 | — | 72 | 1 | no | — |
| 490 | C2×D32 | — | 144 | 1 | no | — |
| 491 | C2×D32 | — | 144 | 1 | no | — |
| 492 | C2×#157 | — | 9 | 1 | no | — |
| 493 | C2×#157 | — | 9 | 1 | no | — |
| 494 | C2×#157 | — | 9 | 1 | no | — |
| 495 | C2×#157 | — | 9 | 1 | no | — |
| 496 | C2×#157 | — | 18 | 1 | no | — |
| 497 | C2×#157 | — | 18 | 1 | no | — |
| 498 | D3×A4 | — | 12 | 1 | no | — |
| 499 | D3×A4 | — | 12 | 1 | no | — |
| 500 | D3×A4 | — | 12 | 1 | no | — |
| 501 | D3×A4 | — | 24 | 1 | no | — |
| 502 | D3×A4 | — | 24 | 1 | no | — |
| 503 | D3×A4 | — | 24 | 1 | no | — |
| 504 | D3×A4 | — | 24 | 1 | no | — |
| 505 | D3×A4 | — | 36 | 1 | no | — |
| 506 | D3×A4 | — | 48 | 1 | no | — |
| 507 | C3⋊S4 | — | 12 | 1 | no | — |
| 508 | C3⋊S4 | — | 12 | 1 | no | — |
| 509 | C3⋊S4 | — | 12 | 1 | no | — |
| 510 | C3⋊S4 | — | 24 | 1 | no | — |
| 511 | C3⋊S4 | — | 24 | 1 | no | — |
| 512 | C3⋊S4 | — | 24 | 1 | no | — |
| 513 | C3⋊S4 | — | 36 | 1 | no | — |
| 514 | C3⋊S4 | — | 72 | 1 | no | — |
| 515 | C3×S4 | — | 4 | 1 | no | — |
| 516 | C3×S4 | — | 12 | 1 | no | — |
| 517 | C3×S4 | — | 24 | 1 | no | — |
| 518 | C3×S4 | — | 36 | 1 | no | — |
| 519 | C3×S4 | — | 36 | 1 | no | — |
| 520 | C3×S4 | — | 72 | 1 | no | — |
| 521 | C3×S4 | — | 72 | 1 | no | — |
| 522 | C3×S4 | — | 72 | 1 | no | — |
| 523 | C3×S4 | — | 144 | 1 | no | — |
| 524 | PSU(3,𝔽2) | — | 6 | 1 | no | — |
| 525 | PSU(3,𝔽2) | — | 9 | 1 | no | — |
| 526 | PSU(3,𝔽2) | — | 18 | 1 | no | — |
| 527 | PSU(3,𝔽2) | — | 18 | 1 | no | — |
| 528 | PSU(3,𝔽2) | D3×S4 | 1 | 1 | yes | characteristic, complemented |
| 529 | GO+(4,𝔽2) | — | 3 | 1 | no | — |
| 530 | GO+(4,𝔽2) | — | 9 | 1 | no | — |
| 531 | GO+(4,𝔽2) | — | 18 | 1 | no | — |
| 532 | GO+(4,𝔽2) | — | 18 | 1 | no | — |
| 533 | GO+(4,𝔽2) | — | 18 | 1 | no | — |
| 534 | GO+(4,𝔽2) | — | 18 | 1 | no | — |
| 535 | GO+(4,𝔽2) | — | 36 | 1 | no | — |
| 536 | GO+(4,𝔽2) | — | 36 | 1 | no | — |
| 537 | GO+(4,𝔽2) | — | 72 | 1 | no | — |
| 538 | AGL(1,𝔽9) | — | 3 | 1 | no | — |
| 539 | AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 540 | AGL(1,𝔽9) | — | 18 | 1 | no | — |
| 541 | AGL(1,𝔽9) | — | 18 | 1 | no | — |
| 542 | C32×D4 | — | 3 | 1 | no | — |
| 543 | C32×D4 | — | 12 | 1 | no | — |
| 544 | C32×D4 | — | 24 | 1 | no | — |
| 545 | #638 | — | 3 | 1 | no | — |
| 546 | #638 | — | 3 | 1 | no | — |
| 547 | #638 | — | 12 | 1 | no | — |
| 548 | #638 | — | 12 | 1 | no | — |
| 549 | C4⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 550 | C4⋊(C3⋊D3) | — | 12 | 1 | no | — |
| 551 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 552 | C4×C3⋊D3 | — | 12 | 1 | no | — |
| 553 | C3×#67 | — | 36 | 1 | no | — |
| 554 | C3×#67 | — | 36 | 1 | no | — |
| 555 | C3×#67 | — | 36 | 1 | no | — |
| 556 | C3×#67 | — | 36 | 1 | no | — |
| 557 | C3×#67 | — | 36 | 1 | no | — |
| 558 | C3×#67 | — | 36 | 1 | no | — |
| 559 | C3×#67 | — | 72 | 1 | no | — |
| 560 | C3×#67 | — | 72 | 1 | no | — |
| 561 | C3×D12 | — | 36 | 1 | no | — |
| 562 | C3×D12 | — | 36 | 1 | no | — |
| 563 | C3×D12 | — | 36 | 1 | no | — |
| 564 | C3×D12 | — | 72 | 1 | no | — |
| 565 | C3×C4×D3 | — | 36 | 1 | no | — |
| 566 | C3×C4×D3 | — | 36 | 1 | no | — |
| 567 | C3×C4×D3 | — | 36 | 1 | no | — |
| 568 | C3×C4×D3 | — | 72 | 1 | no | — |
| 569 | C3×SL(2,𝔽3) | — | 36 | 1 | no | — |
| 570 | #626 | — | 36 | 1 | no | — |
| 571 | #626 | — | 36 | 1 | no | — |
| 572 | #626 | — | 36 | 1 | no | — |
| 573 | #626 | — | 36 | 1 | no | — |
| 574 | #626 | — | 36 | 1 | no | — |
| 575 | #626 | — | 36 | 1 | no | — |
| 576 | #625 | — | 36 | 1 | no | — |
| 577 | #625 | — | 36 | 1 | no | — |
| 578 | #625 | — | 36 | 1 | no | — |
| 579 | #624 | — | 18 | 1 | no | — |
| 580 | #624 | — | 36 | 1 | no | — |
| 581 | D3×Dic3 | — | 36 | 1 | no | — |
| 582 | D3×Dic3 | — | 36 | 1 | no | — |
| 583 | D3×Dic3 | — | 36 | 1 | no | — |
| 584 | C22×SD16 | — | 27 | 1 | no | — |
| 585 | C22×SD16 | — | 81 | 1 | no | — |
| 586 | D4×Q8 | — | 27 | 1 | no | — |
| 587 | D42 | — | 81 | 1 | no | — |
| 588 | #492 | — | 81 | 1 | no | — |
| 589 | #465 | — | 81 | 1 | no | — |
| 590 | #465 | — | 81 | 1 | no | — |
| 591 | #461 | — | 81 | 1 | no | — |
| 592 | #460 | — | 81 | 1 | no | — |
| 593 | #450 | — | 81 | 1 | no | — |
| 594 | #450 | — | 81 | 1 | no | — |
| 595 | #448 | — | 81 | 1 | no | — |
| 596 | #448 | — | 81 | 1 | no | — |
| 597 | C4×SD16 | — | 81 | 1 | no | — |
| 598 | C8×D4 | — | 81 | 1 | no | — |
| 599 | C3⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 600 | C3⋊(C3⋊D3) | — | 16 | 1 | no | — |
| 601 | C3×C3⋊D3 | — | 4 | 1 | no | — |
| 602 | C3×C3⋊D3 | — | 16 | 1 | no | — |
| 603 | C3×C3⋊D3 | — | 48 | 1 | no | — |
| 604 | C3×C3⋊D3 | — | 48 | 1 | no | — |
| 605 | C3×C3⋊D3 | — | 48 | 1 | no | — |
| 606 | C3×C3⋊D3 | — | 96 | 1 | no | — |
| 607 | C32×D3 | — | 4 | 1 | no | — |
| 608 | C32×D3 | — | 16 | 1 | no | — |
| 609 | C32×D3 | — | 32 | 1 | no | — |
| 610 | C32×D3 | — | 48 | 1 | no | — |
| 611 | C32×D3 | — | 48 | 1 | no | — |
| 612 | C32×D3 | — | 48 | 1 | no | — |
| 613 | C32×D3 | — | 96 | 1 | no | — |
| 614 | C2×H(3,𝔽3) | — | 12 | 1 | no | — |
| 615 | C2×H(3,𝔽3) | — | 24 | 1 | no | — |
| 616 | #272 | — | 4 | 1 | no | — |
| 617 | #272 | — | 12 | 1 | no | — |
| 618 | #272 | — | 24 | 1 | no | — |
| 619 | #272 | — | 96 | 1 | no | — |
| 620 | #272 | — | 96 | 1 | no | — |
| 621 | #272 | — | 192 | 1 | no | — |
| 622 | (C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 623 | (C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 624 | (C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 625 | (C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 626 | (C3⋊D3)⋊C3 | — | 24 | 1 | no | — |
| 627 | (C3⋊D3)⋊C3 | — | 24 | 1 | no | — |
| 628 | (C3⋊D3)⋊C3 | — | 32 | 1 | no | — |
| 629 | (C3⋊D3)⋊C3 | — | 32 | 1 | no | — |
| 630 | (C3⋊D3)⋊C3 | — | 96 | 1 | no | — |
| 631 | (C3⋊D3)⋊C3 | — | 96 | 1 | no | — |
| 632 | C23×D3 | — | 36 | 1 | no | — |
| 633 | C23×D3 | — | 36 | 1 | no | — |
| 634 | C23×D3 | — | 108 | 1 | no | — |
| 635 | C23×D3 | — | 108 | 1 | no | — |
| 636 | C22×A4 | — | 54 | 1 | no | — |
| 637 | C2×S4 | — | 9 | 1 | no | — |
| 638 | C2×S4 | — | 36 | 1 | no | — |
| 639 | C2×S4 | — | 54 | 1 | no | — |
| 640 | C2×S4 | — | 108 | 1 | no | — |
| 641 | C2×S4 | — | 216 | 1 | no | — |
| 642 | C2×S4 | — | 216 | 1 | no | — |
| 643 | C2×C3×D4 | — | 108 | 1 | no | — |
| 644 | C2×C3×D4 | — | 108 | 1 | no | — |
| 645 | C2×#67 | — | 108 | 1 | no | — |
| 646 | C2×#67 | — | 108 | 1 | no | — |
| 647 | C2×#67 | — | 108 | 1 | no | — |
| 648 | C2×#67 | — | 108 | 1 | no | — |
| 649 | D3×Q8 | — | 36 | 1 | no | — |
| 650 | D3×D4 | — | 36 | 1 | no | — |
| 651 | D3×D4 | — | 36 | 1 | no | — |
| 652 | D3×D4 | — | 36 | 1 | no | — |
| 653 | D3×D4 | — | 72 | 1 | no | — |
| 654 | D3×D4 | — | 108 | 1 | no | — |
| 655 | D3×D4 | — | 108 | 1 | no | — |
| 656 | D3×D4 | — | 108 | 1 | no | — |
| 657 | D3×D4 | — | 108 | 1 | no | — |
| 658 | D3×D4 | — | 108 | 1 | no | — |
| 659 | D3×D4 | — | 108 | 1 | no | — |
| 660 | D3×D4 | — | 108 | 1 | no | — |
| 661 | D3×D4 | — | 108 | 1 | no | — |
| 662 | D3×D4 | — | 108 | 1 | no | — |
| 663 | D3×D4 | — | 108 | 1 | no | — |
| 664 | D3×D4 | — | 108 | 1 | no | — |
| 665 | D3×D4 | — | 108 | 1 | no | — |
| 666 | D3×D4 | — | 108 | 1 | no | — |
| 667 | D3×D4 | — | 108 | 1 | no | — |
| 668 | C2×D12 | — | 108 | 1 | no | — |
| 669 | C2×D12 | — | 108 | 1 | no | — |
| 670 | C2×C4×D3 | — | 108 | 1 | no | — |
| 671 | C2×C4×D3 | — | 108 | 1 | no | — |
| 672 | C2×SL(2,𝔽3) | — | 27 | 1 | no | — |
| 673 | C2×SL(2,𝔽3) | — | 54 | 1 | no | — |
| 674 | C4×A4 | — | 27 | 1 | no | — |
| 675 | SL(2,ℤ/4) | — | 27 | 1 | no | — |
| 676 | GL(2,𝔽3) | — | 9 | 1 | no | — |
| 677 | GL(2,𝔽3) | — | 27 | 1 | no | — |
| 678 | GL(2,𝔽3) | — | 54 | 1 | no | — |
| 679 | GL(2,𝔽3) | — | 216 | 1 | no | — |
| 680 | GL(2,𝔽3) | — | 216 | 1 | no | — |
| 681 | C3×SD16 | — | 108 | 1 | no | — |
| 682 | #215 | — | 108 | 1 | no | — |
| 683 | #214 | — | 108 | 1 | no | — |
| 684 | #204 | — | 108 | 1 | no | — |
| 685 | D3×C8 | — | 108 | 1 | no | — |
| 686 | C22×C32 | — | 3 | 1 | no | — |
| 687 | C22×C32 | — | 4 | 1 | no | — |
| 688 | C22×C32 | — | 8 | 1 | no | — |
| 689 | C22×C32 | — | 12 | 1 | no | — |
| 690 | C22×C32 | — | 24 | 1 | no | — |
| 691 | C22×C32 | D3×GL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 692 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 693 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 694 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 695 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 696 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 697 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 698 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 699 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 700 | C2×C3⋊D3 | — | 24 | 1 | no | — |
| 701 | C2×C3⋊D3 | — | 24 | 1 | no | — |
| 702 | C2×C3⋊D3 | — | 144 | 1 | no | — |
| 703 | C2×C3⋊D3 | — | 144 | 1 | no | — |
| 704 | C2×C3×D3 | — | 36 | 1 | no | — |
| 705 | C2×C3×D3 | — | 36 | 1 | no | — |
| 706 | C2×C3×D3 | — | 36 | 1 | no | — |
| 707 | C2×C3×D3 | — | 36 | 1 | no | — |
| 708 | C2×C3×D3 | — | 36 | 1 | no | — |
| 709 | C2×C3×D3 | — | 36 | 1 | no | — |
| 710 | C2×C3×D3 | — | 36 | 1 | no | — |
| 711 | C2×C3×D3 | — | 36 | 1 | no | — |
| 712 | C2×C3×D3 | — | 36 | 1 | no | — |
| 713 | C2×C3×D3 | — | 72 | 1 | no | — |
| 714 | C2×C3×D3 | — | 72 | 1 | no | — |
| 715 | C2×C3×D3 | — | 72 | 1 | no | — |
| 716 | C2×C3×D3 | — | 72 | 1 | no | — |
| 717 | C2×C3×D3 | — | 72 | 1 | no | — |
| 718 | C2×C3×D3 | — | 72 | 1 | no | — |
| 719 | C2×C3×D3 | — | 72 | 1 | no | — |
| 720 | C2×C3×D3 | — | 72 | 1 | no | — |
| 721 | C2×C3×D3 | — | 72 | 1 | no | — |
| 722 | C2×C3×D3 | — | 144 | 1 | no | — |
| 723 | C2×C3×D3 | — | 144 | 1 | no | — |
| 724 | C2×C3×D3 | — | 144 | 1 | no | — |
| 725 | C2×C3×D3 | — | 144 | 1 | no | — |
| 726 | C2×C3×D3 | — | 144 | 1 | no | — |
| 727 | C2×C3×D3 | — | 144 | 1 | no | — |
| 728 | C3×A4 | — | 4 | 1 | no | — |
| 729 | C3×A4 | — | 8 | 1 | no | — |
| 730 | C3×A4 | — | 8 | 1 | no | — |
| 731 | C3×A4 | — | 12 | 1 | no | — |
| 732 | C3×A4 | — | 16 | 1 | no | — |
| 733 | C3×A4 | — | 24 | 1 | no | — |
| 734 | C3×A4 | — | 24 | 1 | no | — |
| 735 | C3×A4 | — | 48 | 1 | no | — |
| 736 | D32 | — | 6 | 1 | no | — |
| 737 | D32 | — | 12 | 1 | no | — |
| 738 | D32 | — | 18 | 1 | no | — |
| 739 | D32 | — | 288 | 1 | no | — |
| 740 | D32 | — | 288 | 1 | no | — |
| 741 | D32 | — | 288 | 1 | no | — |
| 742 | D32 | — | 36 | 1 | no | — |
| 743 | D32 | — | 36 | 1 | no | — |
| 744 | D32 | — | 36 | 1 | no | — |
| 745 | D32 | — | 36 | 1 | no | — |
| 746 | D32 | — | 36 | 1 | no | — |
| 747 | D32 | — | 36 | 1 | no | — |
| 748 | D32 | — | 36 | 1 | no | — |
| 749 | D32 | — | 48 | 1 | no | — |
| 750 | D32 | — | 48 | 1 | no | — |
| 751 | D32 | — | 48 | 1 | no | — |
| 752 | D32 | — | 72 | 1 | no | — |
| 753 | D32 | — | 72 | 1 | no | — |
| 754 | D32 | — | 72 | 1 | no | — |
| 755 | D32 | — | 72 | 1 | no | — |
| 756 | D32 | — | 72 | 1 | no | — |
| 757 | D32 | — | 72 | 1 | no | — |
| 758 | D32 | — | 72 | 1 | no | — |
| 759 | D32 | — | 72 | 1 | no | — |
| 760 | D32 | — | 72 | 1 | no | — |
| 761 | D32 | — | 96 | 1 | no | — |
| 762 | D32 | — | 144 | 1 | no | — |
| 763 | D32 | — | 144 | 1 | no | — |
| 764 | D32 | — | 144 | 1 | no | — |
| 765 | D32 | — | 144 | 1 | no | — |
| 766 | D32 | — | 144 | 1 | no | — |
| 767 | #157 | — | 3 | 1 | no | — |
| 768 | #157 | — | 9 | 1 | no | — |
| 769 | #157 | — | 18 | 1 | no | — |
| 770 | #157 | — | 18 | 1 | no | — |
| 771 | C32×C4 | — | 3 | 1 | no | — |
| 772 | C32×C4 | — | 12 | 1 | no | — |
| 773 | C32×C4 | — | 24 | 1 | no | — |
| 774 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 775 | C3⋊Dic3 | — | 12 | 1 | no | — |
| 776 | C3×Dic3 | — | 36 | 1 | no | — |
| 777 | C3×Dic3 | — | 36 | 1 | no | — |
| 778 | C3×Dic3 | — | 36 | 1 | no | — |
| 779 | C3×Dic3 | — | 72 | 1 | no | — |
| 780 | C22×Q8 | — | 9 | 1 | no | — |
| 781 | C22×Q8 | — | 27 | 1 | no | — |
| 782 | C22×D4 | — | 27 | 1 | no | — |
| 783 | C22×D4 | — | 81 | 1 | no | — |
| 784 | C22×D4 | — | 162 | 1 | no | — |
| 785 | C2×SD16 | — | 81 | 1 | no | — |
| 786 | C2×SD16 | — | 81 | 1 | no | — |
| 787 | C2×SD16 | — | 81 | 1 | no | — |
| 788 | C2×SD16 | — | 81 | 1 | no | — |
| 789 | C2×SD16 | — | 81 | 1 | no | — |
| 790 | C2×SD16 | — | 81 | 1 | no | — |
| 791 | C2×SD16 | — | 81 | 1 | no | — |
| 792 | C2×SD16 | — | 81 | 1 | no | — |
| 793 | C2×SD16 | — | 81 | 1 | no | — |
| 794 | C2×SD16 | — | 162 | 1 | no | — |
| 795 | C2×SD16 | — | 162 | 1 | no | — |
| 796 | C2×SD16 | — | 162 | 1 | no | — |
| 797 | C2×SD16 | — | 162 | 1 | no | — |
| 798 | C22×C8 | — | 27 | 1 | no | — |
| 799 | C22×C8 | — | 81 | 1 | no | — |
| 800 | C4⋊Q8 | — | 81 | 1 | no | — |
| 801 | #127 | — | 81 | 1 | no | — |
| 802 | C22⋊Q8 | — | 81 | 1 | no | — |
| 803 | C22⋊Q8 | — | 81 | 1 | no | — |
| 804 | #121 | — | 81 | 1 | no | — |
| 805 | #121 | — | 81 | 1 | no | — |
| 806 | #121 | — | 162 | 1 | no | — |
| 807 | #120 | — | 162 | 1 | no | — |
| 808 | #120 | — | 162 | 1 | no | — |
| 809 | C4×Q8 | — | 27 | 1 | no | — |
| 810 | C4×D4 | — | 81 | 1 | no | — |
| 811 | C4×D4 | — | 81 | 1 | no | — |
| 812 | #106 | — | 81 | 1 | no | — |
| 813 | C4⋊C8 | — | 81 | 1 | no | — |
| 814 | #103 | — | 81 | 1 | no | — |
| 815 | #103 | — | 81 | 1 | no | — |
| 816 | #103 | — | 81 | 1 | no | — |
| 817 | #102 | — | 81 | 1 | no | — |
| 818 | #102 | — | 81 | 1 | no | — |
| 819 | #102 | — | 81 | 1 | no | — |
| 820 | C22⋊C8 | — | 81 | 1 | no | — |
| 821 | C22⋊C8 | — | 81 | 1 | no | — |
| 822 | C4×C8 | — | 81 | 1 | no | — |
| 823 | C33 | — | 4 | 1 | no | — |
| 824 | C33 | — | 16 | 1 | no | — |
| 825 | C33 | — | 32 | 1 | no | — |
| 826 | H(3,𝔽3) | — | 4 | 1 | no | — |
| 827 | H(3,𝔽3) | — | 32 | 1 | no | — |
| 828 | H(3,𝔽3) | — | 32 | 1 | no | — |
| 829 | H(3,𝔽3) | — | 64 | 1 | no | — |
| 830 | C23×C3 | — | 36 | 1 | no | — |
| 831 | C23×C3 | — | 36 | 1 | no | — |
| 832 | C23×C3 | — | 108 | 1 | no | — |
| 833 | C23×C3 | — | 108 | 1 | no | — |
| 834 | C22×D3 | — | 12 | 1 | no | — |
| 835 | C22×D3 | — | 12 | 1 | no | — |
| 836 | C22×D3 | — | 12 | 1 | no | — |
| 837 | C22×D3 | — | 24 | 1 | no | — |
| 838 | C22×D3 | — | 36 | 1 | no | — |
| 839 | C22×D3 | — | 36 | 1 | no | — |
| 840 | C22×D3 | — | 36 | 1 | no | — |
| 841 | C22×D3 | — | 36 | 1 | no | — |
| 842 | C22×D3 | — | 72 | 1 | no | — |
| 843 | C22×D3 | — | 108 | 1 | no | — |
| 844 | C22×D3 | — | 108 | 1 | no | — |
| 845 | C22×D3 | — | 108 | 1 | no | — |
| 846 | C22×D3 | — | 108 | 1 | no | — |
| 847 | C22×D3 | — | 108 | 1 | no | — |
| 848 | C22×D3 | — | 108 | 1 | no | — |
| 849 | C22×D3 | — | 108 | 1 | no | — |
| 850 | C22×D3 | — | 108 | 1 | no | — |
| 851 | C22×D3 | — | 108 | 1 | no | — |
| 852 | C22×D3 | — | 108 | 1 | no | — |
| 853 | C22×D3 | — | 108 | 1 | no | — |
| 854 | C22×D3 | — | 108 | 1 | no | — |
| 855 | C22×D3 | — | 108 | 1 | no | — |
| 856 | C22×D3 | — | 108 | 1 | no | — |
| 857 | C22×D3 | — | 108 | 1 | no | — |
| 858 | C22×D3 | — | 216 | 1 | no | — |
| 859 | C22×D3 | — | 216 | 1 | no | — |
| 860 | C22×D3 | — | 216 | 1 | no | — |
| 861 | C22×D3 | — | 216 | 1 | no | — |
| 862 | C22×D3 | — | 216 | 1 | no | — |
| 863 | C22×D3 | — | 216 | 1 | no | — |
| 864 | C22×D3 | — | 216 | 1 | no | — |
| 865 | C22×D3 | — | 216 | 1 | no | — |
| 866 | C22×D3 | — | 216 | 1 | no | — |
| 867 | C2×A4 | — | 9 | 1 | no | — |
| 868 | C2×A4 | — | 36 | 1 | no | — |
| 869 | C2×A4 | — | 72 | 1 | no | — |
| 870 | C2×A4 | — | 72 | 1 | no | — |
| 871 | S4 | — | 9 | 1 | no | — |
| 872 | S4 | — | 36 | 1 | no | — |
| 873 | S4 | — | 72 | 1 | no | — |
| 874 | S4 | — | 72 | 1 | no | — |
| 875 | S4 | — | 72 | 1 | no | — |
| 876 | S4 | — | 144 | 1 | no | — |
| 877 | S4 | — | 216 | 1 | no | — |
| 878 | S4 | AGL(2,𝔽3) | 1 | 1 | yes | characteristic, direct product factor |
| 879 | C3×Q8 | — | 36 | 1 | no | — |
| 880 | C3×D4 | — | 12 | 1 | no | — |
| 881 | C3×D4 | — | 36 | 1 | no | — |
| 882 | C3×D4 | — | 72 | 1 | no | — |
| 883 | C3×D4 | — | 108 | 1 | no | — |
| 884 | C3×D4 | — | 108 | 1 | no | — |
| 885 | C3×D4 | — | 108 | 1 | no | — |
| 886 | C3×D4 | — | 108 | 1 | no | — |
| 887 | C3×D4 | — | 108 | 1 | no | — |
| 888 | C3×D4 | — | 108 | 1 | no | — |
| 889 | C3×D4 | — | 108 | 1 | no | — |
| 890 | C2×C3×C4 | — | 108 | 1 | no | — |
| 891 | C2×C3×C4 | — | 108 | 1 | no | — |
| 892 | #67 | — | 36 | 1 | no | — |
| 893 | #67 | — | 36 | 1 | no | — |
| 894 | #67 | — | 36 | 1 | no | — |
| 895 | #67 | — | 36 | 1 | no | — |
| 896 | #67 | — | 36 | 1 | no | — |
| 897 | #67 | — | 36 | 1 | no | — |
| 898 | #67 | — | 72 | 1 | no | — |
| 899 | #67 | — | 72 | 1 | no | — |
| 900 | #67 | — | 108 | 1 | no | — |
| 901 | #67 | — | 108 | 1 | no | — |
| 902 | #67 | — | 108 | 1 | no | — |
| 903 | #67 | — | 108 | 1 | no | — |
| 904 | #67 | — | 108 | 1 | no | — |
| 905 | #67 | — | 108 | 1 | no | — |
| 906 | #67 | — | 108 | 1 | no | — |
| 907 | #67 | — | 108 | 1 | no | — |
| 908 | #67 | — | 108 | 1 | no | — |
| 909 | #67 | — | 108 | 1 | no | — |
| 910 | #67 | — | 216 | 1 | no | — |
| 911 | C2×Dic3 | — | 108 | 1 | no | — |
| 912 | C2×Dic3 | — | 108 | 1 | no | — |
| 913 | D12 | — | 36 | 1 | no | — |
| 914 | D12 | — | 36 | 1 | no | — |
| 915 | D12 | — | 36 | 1 | no | — |
| 916 | D12 | — | 72 | 1 | no | — |
| 917 | D12 | — | 108 | 1 | no | — |
| 918 | D12 | — | 108 | 1 | no | — |
| 919 | D12 | — | 108 | 1 | no | — |
| 920 | D12 | — | 108 | 1 | no | — |
| 921 | D12 | — | 108 | 1 | no | — |
| 922 | D12 | — | 108 | 1 | no | — |
| 923 | C4×D3 | — | 36 | 1 | no | — |
| 924 | C4×D3 | — | 36 | 1 | no | — |
| 925 | C4×D3 | — | 36 | 1 | no | — |
| 926 | C4×D3 | — | 72 | 1 | no | — |
| 927 | C4×D3 | — | 108 | 1 | no | — |
| 928 | C4×D3 | — | 108 | 1 | no | — |
| 929 | C4×D3 | — | 108 | 1 | no | — |
| 930 | C4×D3 | — | 108 | 1 | no | — |
| 931 | C4×D3 | — | 108 | 1 | no | — |
| 932 | C4×D3 | — | 108 | 1 | no | — |
| 933 | Dic6 | — | 108 | 1 | no | — |
| 934 | SL(2,𝔽3) | — | 9 | 1 | no | — |
| 935 | SL(2,𝔽3) | — | 72 | 1 | no | — |
| 936 | SL(2,𝔽3) | — | 216 | 1 | no | — |
| 937 | C3×C8 | — | 108 | 1 | no | — |
| 938 | C3⋊C8 | — | 108 | 1 | no | — |
| 939 | C2×C32 | — | 3 | 1 | no | — |
| 940 | C2×C32 | — | 6 | 1 | no | — |
| 941 | C2×C32 | — | 12 | 1 | no | — |
| 942 | C2×C32 | — | 24 | 1 | no | — |
| 943 | C2×C32 | — | 24 | 1 | no | — |
| 944 | C2×C32 | — | 48 | 1 | no | — |
| 945 | C2×C32 | — | 144 | 1 | no | — |
| 946 | C2×C32 | — | 144 | 1 | no | — |
| 947 | C3⋊D3 | — | 3 | 1 | no | — |
| 948 | C3⋊D3 | — | 4 | 1 | no | — |
| 949 | C3⋊D3 | — | 6 | 1 | no | — |
| 950 | C3⋊D3 | — | 12 | 1 | no | — |
| 951 | C3⋊D3 | — | 24 | 1 | no | — |
| 952 | C3⋊D3 | — | 288 | 1 | no | — |
| 953 | C3⋊D3 | — | 48 | 1 | no | — |
| 954 | C3⋊D3 | — | 48 | 1 | no | — |
| 955 | C3⋊D3 | — | 48 | 1 | no | — |
| 956 | C3⋊D3 | — | 96 | 1 | no | — |
| 957 | C3⋊D3 | — | 96 | 1 | no | — |
| 958 | C3⋊D3 | — | 96 | 1 | no | — |
| 959 | C3⋊D3 | — | 144 | 1 | no | — |
| 960 | C3⋊D3 | S42 | 1 | 1 | yes | characteristic |
| 961 | C3×D3 | — | 12 | 1 | no | — |
| 962 | C3×D3 | — | 12 | 1 | no | — |
| 963 | C3×D3 | — | 12 | 1 | no | — |
| 964 | C3×D3 | — | 16 | 1 | no | — |
| 965 | C3×D3 | — | 24 | 1 | no | — |
| 966 | C3×D3 | — | 288 | 1 | no | — |
| 967 | C3×D3 | — | 288 | 1 | no | — |
| 968 | C3×D3 | — | 288 | 1 | no | — |
| 969 | C3×D3 | — | 36 | 1 | no | — |
| 970 | C3×D3 | — | 36 | 1 | no | — |
| 971 | C3×D3 | — | 36 | 1 | no | — |
| 972 | C3×D3 | — | 48 | 1 | no | — |
| 973 | C3×D3 | — | 48 | 1 | no | — |
| 974 | C3×D3 | — | 48 | 1 | no | — |
| 975 | C3×D3 | — | 48 | 1 | no | — |
| 976 | C3×D3 | — | 576 | 1 | no | — |
| 977 | C3×D3 | — | 72 | 1 | no | — |
| 978 | C3×D3 | — | 72 | 1 | no | — |
| 979 | C3×D3 | — | 72 | 1 | no | — |
| 980 | C3×D3 | — | 72 | 1 | no | — |
| 981 | C3×D3 | — | 96 | 1 | no | — |
| 982 | C3×D3 | — | 96 | 1 | no | — |
| 983 | C3×D3 | — | 96 | 1 | no | — |
| 984 | C3×D3 | — | 96 | 1 | no | — |
| 985 | C3×D3 | — | 96 | 1 | no | — |
| 986 | C3×D3 | — | 144 | 1 | no | — |
| 987 | C3×D3 | — | 144 | 1 | no | — |
| 988 | C3×D3 | — | 144 | 1 | no | — |
| 989 | C3×D3 | — | 144 | 1 | no | — |
| 990 | C3×D3 | — | 192 | 1 | no | — |
| 991 | C24 | — | 54 | 1 | no | — |
| 992 | C24 | — | 162 | 1 | no | — |
| 993 | C2×Q8 | — | 27 | 1 | no | — |
| 994 | C2×Q8 | — | 54 | 1 | no | — |
| 995 | C2×Q8 | — | 81 | 1 | no | — |
| 996 | C2×Q8 | — | 81 | 1 | no | — |
| 997 | C2×Q8 | — | 162 | 1 | no | — |
| 998 | C2×D4 | — | 27 | 1 | no | — |
| 999 | C2×D4 | — | 324 | 1 | no | — |
| 1000 | C2×D4 | — | 324 | 1 | no | — |
| 1001 | C2×D4 | — | 324 | 1 | no | — |
| 1002 | C2×D4 | — | 324 | 1 | no | — |
| 1003 | C2×D4 | — | 81 | 1 | no | — |
| 1004 | C2×D4 | — | 81 | 1 | no | — |
| 1005 | C2×D4 | — | 81 | 1 | no | — |
| 1006 | C2×D4 | — | 108 | 1 | no | — |
| 1007 | C2×D4 | — | 162 | 1 | no | — |
| 1008 | C2×D4 | — | 162 | 1 | no | — |
| 1009 | C2×D4 | — | 162 | 1 | no | — |
| 1010 | C2×D4 | — | 162 | 1 | no | — |
| 1011 | C2×D4 | — | 162 | 1 | no | — |
| 1012 | C2×D4 | — | 162 | 1 | no | — |
| 1013 | C2×D4 | — | 162 | 1 | no | — |
| 1014 | C2×D4 | — | 162 | 1 | no | — |
| 1015 | C22×C4 | — | 27 | 1 | no | — |
| 1016 | C22×C4 | — | 81 | 1 | no | — |
| 1017 | C22×C4 | — | 162 | 1 | no | — |
| 1018 | SD16 | — | 27 | 1 | no | — |
| 1019 | SD16 | — | 324 | 1 | no | — |
| 1020 | SD16 | — | 324 | 1 | no | — |
| 1021 | SD16 | — | 81 | 1 | no | — |
| 1022 | SD16 | — | 81 | 1 | no | — |
| 1023 | SD16 | — | 81 | 1 | no | — |
| 1024 | SD16 | — | 162 | 1 | no | — |
| 1025 | SD16 | — | 162 | 1 | no | — |
| 1026 | SD16 | — | 162 | 1 | no | — |
| 1027 | SD16 | — | 162 | 1 | no | — |
| 1028 | SD16 | — | 162 | 1 | no | — |
| 1029 | SD16 | — | 162 | 1 | no | — |
| 1030 | SD16 | — | 162 | 1 | no | — |
| 1031 | C2×C8 | — | 81 | 1 | no | — |
| 1032 | C2×C8 | — | 81 | 1 | no | — |
| 1033 | C2×C8 | — | 81 | 1 | no | — |
| 1034 | C2×C8 | — | 81 | 1 | no | — |
| 1035 | C2×C8 | — | 162 | 1 | no | — |
| 1036 | C2×C8 | — | 162 | 1 | no | — |
| 1037 | C4⋊C4 | — | 81 | 1 | no | — |
| 1038 | C4⋊C4 | — | 81 | 1 | no | — |
| 1039 | C4⋊C4 | — | 81 | 1 | no | — |
| 1040 | C4⋊C4 | — | 162 | 1 | no | — |
| 1041 | C22⋊C4 | — | 81 | 1 | no | — |
| 1042 | C22⋊C4 | — | 81 | 1 | no | — |
| 1043 | C22⋊C4 | — | 162 | 1 | no | — |
| 1044 | C22⋊C4 | — | 162 | 1 | no | — |
| 1045 | C22⋊C4 | — | 162 | 1 | no | — |
| 1046 | C42 | — | 81 | 1 | no | — |
| 1047 | C22×C3 | — | 4 | 1 | no | — |
| 1048 | C22×C3 | — | 12 | 1 | no | — |
| 1049 | C22×C3 | — | 12 | 1 | no | — |
| 1050 | C22×C3 | — | 24 | 1 | no | — |
| 1051 | C22×C3 | — | 36 | 1 | no | — |
| 1052 | C22×C3 | — | 72 | 1 | no | — |
| 1053 | C22×C3 | — | 108 | 1 | no | — |
| 1054 | C22×C3 | — | 108 | 1 | no | — |
| 1055 | C22×C3 | — | 108 | 1 | no | — |
| 1056 | C22×C3 | — | 108 | 1 | no | — |
| 1057 | C22×C3 | — | 108 | 1 | no | — |
| 1058 | C22×C3 | — | 108 | 1 | no | — |
| 1059 | C22×C3 | — | 216 | 1 | no | — |
| 1060 | C22×C3 | — | 216 | 1 | no | — |
| 1061 | C22×C3 | — | 216 | 1 | no | — |
| 1062 | C22×C3 | — | 216 | 1 | no | — |
| 1063 | C22×C3 | — | 216 | 1 | no | — |
| 1064 | C2×D3 | — | 36 | 1 | no | — |
| 1065 | C2×D3 | — | 36 | 1 | no | — |
| 1066 | C2×D3 | — | 36 | 1 | no | — |
| 1067 | C2×D3 | — | 36 | 1 | no | — |
| 1068 | C2×D3 | — | 36 | 1 | no | — |
| 1069 | C2×D3 | — | 36 | 1 | no | — |
| 1070 | C2×D3 | — | 36 | 1 | no | — |
| 1071 | C2×D3 | — | 36 | 1 | no | — |
| 1072 | C2×D3 | — | 36 | 1 | no | — |
| 1073 | C2×D3 | — | 36 | 1 | no | — |
| 1074 | C2×D3 | — | 36 | 1 | no | — |
| 1075 | C2×D3 | — | 36 | 1 | no | — |
| 1076 | C2×D3 | — | 72 | 1 | no | — |
| 1077 | C2×D3 | — | 72 | 1 | no | — |
| 1078 | C2×D3 | — | 72 | 1 | no | — |
| 1079 | C2×D3 | — | 72 | 1 | no | — |
| 1080 | C2×D3 | — | 72 | 1 | no | — |
| 1081 | C2×D3 | — | 72 | 1 | no | — |
| 1082 | C2×D3 | — | 72 | 1 | no | — |
| 1083 | C2×D3 | — | 72 | 1 | no | — |
| 1084 | C2×D3 | — | 72 | 1 | no | — |
| 1085 | C2×D3 | — | 864 | 1 | no | — |
| 1086 | C2×D3 | — | 864 | 1 | no | — |
| 1087 | C2×D3 | — | 108 | 1 | no | — |
| 1088 | C2×D3 | — | 108 | 1 | no | — |
| 1089 | C2×D3 | — | 108 | 1 | no | — |
| 1090 | C2×D3 | — | 108 | 1 | no | — |
| 1091 | C2×D3 | — | 108 | 1 | no | — |
| 1092 | C2×D3 | — | 108 | 1 | no | — |
| 1093 | C2×D3 | — | 108 | 1 | no | — |
| 1094 | C2×D3 | — | 108 | 1 | no | — |
| 1095 | C2×D3 | — | 108 | 1 | no | — |
| 1096 | C2×D3 | — | 144 | 1 | no | — |
| 1097 | C2×D3 | — | 144 | 1 | no | — |
| 1098 | C2×D3 | — | 144 | 1 | no | — |
| 1099 | C2×D3 | — | 432 | 1 | no | — |
| 1100 | C2×D3 | — | 216 | 1 | no | — |
| 1101 | C2×D3 | — | 216 | 1 | no | — |
| 1102 | C2×D3 | — | 216 | 1 | no | — |
| 1103 | C2×D3 | — | 216 | 1 | no | — |
| 1104 | C2×D3 | — | 216 | 1 | no | — |
| 1105 | C2×D3 | — | 216 | 1 | no | — |
| 1106 | C2×D3 | — | 216 | 1 | no | — |
| 1107 | C2×D3 | — | 216 | 1 | no | — |
| 1108 | C2×D3 | — | 216 | 1 | no | — |
| 1109 | C2×D3 | — | 216 | 1 | no | — |
| 1110 | C2×D3 | — | 216 | 1 | no | — |
| 1111 | C2×D3 | — | 216 | 1 | no | — |
| 1112 | C2×D3 | — | 216 | 1 | no | — |
| 1113 | C2×D3 | — | 216 | 1 | no | — |
| 1114 | C2×D3 | — | 216 | 1 | no | — |
| 1115 | C2×D3 | — | 216 | 1 | no | — |
| 1116 | C2×D3 | — | 216 | 1 | no | — |
| 1117 | A4 | — | 8 | 1 | no | — |
| 1118 | A4 | — | 24 | 1 | no | — |
| 1119 | A4 | — | 48 | 1 | no | — |
| 1120 | A4 | C2×AGL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 1121 | C3×C4 | — | 12 | 1 | no | — |
| 1122 | C3×C4 | — | 36 | 1 | no | — |
| 1123 | C3×C4 | — | 72 | 1 | no | — |
| 1124 | C3×C4 | — | 108 | 1 | no | — |
| 1125 | C3×C4 | — | 108 | 1 | no | — |
| 1126 | C3×C4 | — | 108 | 1 | no | — |
| 1127 | Dic3 | — | 36 | 1 | no | — |
| 1128 | Dic3 | — | 36 | 1 | no | — |
| 1129 | Dic3 | — | 36 | 1 | no | — |
| 1130 | Dic3 | — | 72 | 1 | no | — |
| 1131 | Dic3 | — | 108 | 1 | no | — |
| 1132 | Dic3 | — | 108 | 1 | no | — |
| 1133 | C32 | — | 4 | 1 | no | — |
| 1134 | C32 | — | 8 | 1 | no | — |
| 1135 | C32 | — | 16 | 1 | no | — |
| 1136 | C32 | — | 32 | 1 | no | — |
| 1137 | C32 | — | 32 | 1 | no | — |
| 1138 | C32 | — | 48 | 1 | no | — |
| 1139 | C32 | — | 64 | 1 | no | — |
| 1140 | C32 | — | 96 | 1 | no | — |
| 1141 | C32 | — | 96 | 1 | no | — |
| 1142 | C32 | — | 192 | 1 | no | — |
| 1143 | C32 | S4×GL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 1144 | C23 | — | 9 | 1 | no | — |
| 1145 | C23 | — | 27 | 1 | no | — |
| 1146 | C23 | — | 36 | 1 | no | — |
| 1147 | C23 | — | 324 | 1 | no | — |
| 1148 | C23 | — | 324 | 1 | no | — |
| 1149 | C23 | — | 324 | 1 | no | — |
| 1150 | C23 | — | 324 | 1 | no | — |
| 1151 | C23 | — | 108 | 1 | no | — |
| 1152 | C23 | — | 648 | 1 | no | — |
| 1153 | C23 | — | 162 | 1 | no | — |
| 1154 | C23 | — | 162 | 1 | no | — |
| 1155 | C23 | — | 162 | 1 | no | — |
| 1156 | Q8 | — | 9 | 1 | no | — |
| 1157 | Q8 | — | 54 | 1 | no | — |
| 1158 | Q8 | — | 81 | 1 | no | — |
| 1159 | Q8 | — | 162 | 1 | no | — |
| 1160 | Q8 | — | 162 | 1 | no | — |
| 1161 | D4 | — | 3 | 1 | no | — |
| 1162 | D4 | — | 27 | 1 | no | — |
| 1163 | D4 | — | 27 | 1 | no | — |
| 1164 | D4 | — | 27 | 1 | no | — |
| 1165 | D4 | — | 27 | 1 | no | — |
| 1166 | D4 | — | 324 | 1 | no | — |
| 1167 | D4 | — | 324 | 1 | no | — |
| 1168 | D4 | — | 324 | 1 | no | — |
| 1169 | D4 | — | 324 | 1 | no | — |
| 1170 | D4 | — | 324 | 1 | no | — |
| 1171 | D4 | — | 81 | 1 | no | — |
| 1172 | D4 | — | 108 | 1 | no | — |
| 1173 | D4 | — | 108 | 1 | no | — |
| 1174 | D4 | — | 108 | 1 | no | — |
| 1175 | D4 | — | 648 | 1 | no | — |
| 1176 | D4 | — | 162 | 1 | no | — |
| 1177 | D4 | — | 162 | 1 | no | — |
| 1178 | D4 | — | 162 | 1 | no | — |
| 1179 | D4 | — | 162 | 1 | no | — |
| 1180 | C2×C4 | — | 27 | 1 | no | — |
| 1181 | C2×C4 | — | 324 | 1 | no | — |
| 1182 | C2×C4 | — | 81 | 1 | no | — |
| 1183 | C2×C4 | — | 81 | 1 | no | — |
| 1184 | C2×C4 | — | 81 | 1 | no | — |
| 1185 | C2×C4 | — | 81 | 1 | no | — |
| 1186 | C2×C4 | — | 108 | 1 | no | — |
| 1187 | C2×C4 | — | 162 | 1 | no | — |
| 1188 | C2×C4 | — | 162 | 1 | no | — |
| 1189 | C2×C4 | — | 162 | 1 | no | — |
| 1190 | C8 | — | 27 | 1 | no | — |
| 1191 | C8 | — | 81 | 1 | no | — |
| 1192 | C8 | — | 162 | 1 | no | — |
| 1193 | C8 | — | 162 | 1 | no | — |
| 1194 | C2×C3 | — | 12 | 1 | no | — |
| 1195 | C2×C3 | — | 24 | 1 | no | — |
| 1196 | C2×C3 | — | 288 | 1 | no | — |
| 1197 | C2×C3 | — | 288 | 1 | no | — |
| 1198 | C2×C3 | — | 36 | 1 | no | — |
| 1199 | C2×C3 | — | 36 | 1 | no | — |
| 1200 | C2×C3 | — | 36 | 1 | no | — |
| 1201 | C2×C3 | — | 36 | 1 | no | — |
| 1202 | C2×C3 | — | 72 | 1 | no | — |
| 1203 | C2×C3 | — | 72 | 1 | no | — |
| 1204 | C2×C3 | — | 108 | 1 | no | — |
| 1205 | C2×C3 | — | 108 | 1 | no | — |
| 1206 | C2×C3 | — | 144 | 1 | no | — |
| 1207 | C2×C3 | — | 144 | 1 | no | — |
| 1208 | C2×C3 | — | 216 | 1 | no | — |
| 1209 | C2×C3 | — | 216 | 1 | no | — |
| 1210 | D3 | — | 4 | 1 | no | — |
| 1211 | D3 | — | 12 | 1 | no | — |
| 1212 | D3 | — | 12 | 1 | no | — |
| 1213 | D3 | — | 12 | 1 | no | — |
| 1214 | D3 | — | 24 | 1 | no | — |
| 1215 | D3 | — | 288 | 1 | no | — |
| 1216 | D3 | — | 288 | 1 | no | — |
| 1217 | D3 | — | 288 | 1 | no | — |
| 1218 | D3 | — | 36 | 1 | no | — |
| 1219 | D3 | — | 36 | 1 | no | — |
| 1220 | D3 | — | 36 | 1 | no | — |
| 1221 | D3 | — | 36 | 1 | no | — |
| 1222 | D3 | — | 36 | 1 | no | — |
| 1223 | D3 | — | 576 | 1 | no | — |
| 1224 | D3 | — | 72 | 1 | no | — |
| 1225 | D3 | — | 72 | 1 | no | — |
| 1226 | D3 | — | 72 | 1 | no | — |
| 1227 | D3 | — | 72 | 1 | no | — |
| 1228 | D3 | — | 864 | 1 | no | — |
| 1229 | D3 | — | 108 | 1 | no | — |
| 1230 | D3 | — | 144 | 1 | no | — |
| 1231 | D3 | — | 144 | 1 | no | — |
| 1232 | D3 | — | 216 | 1 | no | — |
| 1233 | C22 | — | 3 | 1 | no | — |
| 1234 | C22 | — | 27 | 1 | no | — |
| 1235 | C22 | — | 27 | 1 | no | — |
| 1236 | C22 | — | 27 | 1 | no | — |
| 1237 | C22 | — | 54 | 1 | no | — |
| 1238 | C22 | — | 54 | 1 | no | — |
| 1239 | C22 | — | 54 | 1 | no | — |
| 1240 | C22 | — | 324 | 1 | no | — |
| 1241 | C22 | — | 324 | 1 | no | — |
| 1242 | C22 | — | 324 | 1 | no | — |
| 1243 | C22 | — | 324 | 1 | no | — |
| 1244 | C22 | — | 108 | 1 | no | — |
| 1245 | C22 | — | 108 | 1 | no | — |
| 1246 | C22 | — | 108 | 1 | no | — |
| 1247 | C22 | — | 648 | 1 | no | — |
| 1248 | C22 | — | 648 | 1 | no | — |
| 1249 | C22 | — | 162 | 1 | no | — |
| 1250 | C22 | — | 216 | 1 | no | — |
| 1251 | C22 | — | 216 | 1 | no | — |
| 1252 | C22 | D3×AGL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 1253 | C4 | — | 3 | 1 | no | — |
| 1254 | C4 | — | 27 | 1 | no | — |
| 1255 | C4 | — | 27 | 1 | no | — |
| 1256 | C4 | — | 81 | 1 | no | — |
| 1257 | C4 | — | 108 | 1 | no | — |
| 1258 | C4 | — | 162 | 1 | no | — |
| 1259 | C4 | — | 162 | 1 | no | — |
| 1260 | C3 | — | 4 | 1 | no | — |
| 1261 | C3 | — | 4 | 1 | no | — |
| 1262 | C3 | — | 12 | 1 | no | — |
| 1263 | C3 | — | 24 | 1 | no | — |
| 1264 | C3 | — | 32 | 1 | no | — |
| 1265 | C3 | — | 96 | 1 | no | — |
| 1266 | C3 | — | 192 | 1 | no | — |
| 1267 | C2 | — | 3 | 1 | no | — |
| 1268 | C2 | — | 6 | 1 | no | — |
| 1269 | C2 | — | 9 | 1 | no | — |
| 1270 | C2 | — | 27 | 1 | no | — |
| 1271 | C2 | — | 36 | 1 | no | — |
| 1272 | C2 | — | 54 | 1 | no | — |
| 1273 | C2 | — | 108 | 1 | no | — |
| 1274 | C2 | — | 216 | 1 | no | — |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, cosocle, hypocenter | A4×PSU(3,𝔽2)⋊C3 | C22 |
| Fitting, socle | C22×C32 | D3×GL(2,𝔽3) |
| LCS | G ▷ A4×PSU(3,𝔽2)⋊C3 | |
| UCS | C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #72213290 | C2 | semidirect |
| 5. S4×PSU(3,𝔽2)⋊C3 | C2 | semidirect |
| 6. A4×AGL(2,𝔽3) | C2 | semidirect |
| 7. A4×PSU(3,𝔽2)⋊C3 | C22 | semidirect |
| 9. S4×PSU(3,𝔽2) | D3 | semidirect |
| 13. C22×AGL(2,𝔽3) | D3 | semidirect |
| 38. A4×PSU(3,𝔽2) | C2×D3 | semidirect |
| 46. C22×PSU(3,𝔽2)⋊C3 | C2×D3 | semidirect |
| 113. AGL(2,𝔽3) | S4 | direct (N × H) |
| 142. C22×PSU(3,𝔽2) | D32 | semidirect |
| 196. C3⋊(C3⋊S4) | GL(2,𝔽3) | semidirect |
| 203. C32×S4 | GL(2,𝔽3) | semidirect |
| 216. PSU(3,𝔽2)⋊C3 | C2×S4 | semidirect |
| 381. C32×A4 | C2×GL(2,𝔽3) | semidirect |
| 528. PSU(3,𝔽2) | D3×S4 | semidirect |
| 691. C22×C32 | D3×GL(2,𝔽3) | semidirect |
| 878. S4 | AGL(2,𝔽3) | direct (N × H) |
| 1120. A4 | C2×AGL(2,𝔽3) | semidirect |
| 1143. C32 | S4×GL(2,𝔽3) | semidirect |
| 1252. C22 | D3×AGL(2,𝔽3) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| S4×((C3⋊D3)⋊C3)⋊C2 | 4 |
| D3×AGL(2,𝔽3) | 4 |
| S4×AΓL(1,𝔽9) | 3 |
| #72213290 | 2 |
| S4×PSU(3,𝔽2)⋊C3 | 2 |
| A4×AGL(2,𝔽3) | 2 |
| D4×AGL(2,𝔽3) | 3 |
| S4×GL(2,𝔽3) | 9 |