Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
486 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 72 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 | C5×#5923 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×C5×#984 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C5×#568⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×#5406 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | C5×#5403 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C5×#3069 | — | 3 | 1 | no | maximal, Hall |
| 7 | C2×C5×#41⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 8 | C5×#986 | C22 | 1 | 1 | yes | characteristic |
| 9 | C5×#985 | — | 2 | 1 | no | — |
| 10 | C5×#984 | — | 2 | 1 | no | — |
| 11 | C5×#984 | C22 | 1 | 2 | yes | — |
| 12 | C5×#984 | C22 | 1 | 1 | yes | characteristic |
| 13 | C5×#983 | — | 2 | 1 | no | — |
| 14 | C2×C5×#226 | — | 2 | 1 | no | — |
| 15 | C5×#909 | — | 4 | 1 | no | maximal |
| 16 | C5×#131⋊C3 | C22 | 1 | 2 | yes | — |
| 17 | #85455 | C5 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 18 | C5×#575 | — | 3 | 1 | no | — |
| 19 | C2×C5×#137 | — | 3 | 1 | no | — |
| 20 | C2×C5×#137 | — | 3 | 1 | no | — |
| 21 | C5×#568 | D3 | 1 | 1 | yes | characteristic, complemented |
| 22 | C5×#473 | — | 3 | 2 | no | — |
| 23 | C5×#473 | — | 3 | 2 | no | — |
| 24 | C5×#471 | — | 3 | 2 | no | — |
| 25 | C5×#471 | — | 3 | 2 | no | — |
| 26 | C5×#430 | — | 3 | 1 | no | — |
| 27 | C5×#413 | — | 3 | 1 | no | — |
| 28 | C2×C5×#101 | — | 3 | 1 | no | — |
| 29 | C5×#235 | — | 4 | 1 | no | — |
| 30 | C2×C5×Dic6 | — | 4 | 1 | no | — |
| 31 | C5×#41⋊C3 | D4 | 1 | 1 | yes | characteristic |
| 32 | C5×#41⋊C3 | C23 | 1 | 1 | yes | characteristic |
| 33 | C2×C5×SL(2,𝔽3) | D4 | 1 | 1 | yes | characteristic |
| 34 | C5×GL(2,𝔽3) | — | 2 | 1 | no | — |
| 35 | C5×#226 | — | 2 | 2 | no | — |
| 36 | C5×#226 | — | 2 | 1 | no | — |
| 37 | C3×C5×M16 | — | 4 | 1 | no | — |
| 38 | C5×Dic12 | — | 4 | 2 | no | — |
| 39 | C5×#204 | — | 4 | 2 | no | — |
| 40 | #5923 | C2×C5 | 1 | 1 | yes | characteristic |
| 41 | C2×#984 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 42 | #568⋊C3 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 43 | #5406 | C2×C5 | 1 | 2 | yes | complemented |
| 44 | #5403 | C2×C5 | 1 | 2 | yes | complemented |
| 45 | C2×C5×#41 | — | 3 | 1 | no | — |
| 46 | C2×C5×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 47 | C22×C5×Q8 | — | 3 | 1 | no | — |
| 48 | C5×#137 | — | 3 | 2 | no | — |
| 49 | C5×#137 | — | 3 | 1 | no | — |
| 50 | C5×#137 | — | 3 | 2 | no | — |
| 51 | C5×#137 | — | 3 | 1 | no | — |
| 52 | C5×#137 | — | 6 | 1 | no | — |
| 53 | C5×#137 | — | 6 | 2 | no | — |
| 54 | C5×#137 | — | 6 | 1 | no | — |
| 55 | C5×#137 | — | 6 | 1 | no | — |
| 56 | C5×#137 | — | 6 | 1 | no | — |
| 57 | C5×#137 | — | 6 | 1 | no | — |
| 58 | C5×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 59 | C5×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 60 | C5×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 61 | C5×#135 | — | 6 | 1 | no | — |
| 62 | C5×#135 | — | 6 | 1 | no | — |
| 63 | C2×C5×Q16 | — | 3 | 2 | no | — |
| 64 | C2×C5×Q16 | — | 6 | 1 | no | — |
| 65 | C2×C5×SD16 | — | 3 | 2 | no | — |
| 66 | C2×C5×SD16 | — | 6 | 1 | no | — |
| 67 | C5×#131 | — | 3 | 2 | no | — |
| 68 | C5×#131 | C2×D3 | 1 | 2 | yes | — |
| 69 | C2×C5×M16 | — | 3 | 1 | no | — |
| 70 | C2×C5×M16 | — | 3 | 1 | no | — |
| 71 | C2×C5×M16 | — | 3 | 1 | no | — |
| 72 | C2×C5×M16 | — | 3 | 1 | no | — |
| 73 | C5×#108 | — | 3 | 2 | no | — |
| 74 | C5×#108 | — | 3 | 2 | no | — |
| 75 | C5×#101 | — | 3 | 2 | no | — |
| 76 | C5×#101 | — | 3 | 2 | no | — |
| 77 | C5×#101 | — | 3 | 2 | no | — |
| 78 | C5×#100 | — | 3 | 2 | no | — |
| 79 | #3069 | — | 3 | 1 | no | Sylow |
| 80 | C2×C3×C4×C5 | — | 4 | 1 | no | — |
| 81 | C5×#67 | — | 8 | 1 | no | — |
| 82 | C2×C5×Dic3 | — | 8 | 1 | no | — |
| 83 | C5×D12 | — | 4 | 1 | no | — |
| 84 | C4×C5×D3 | — | 8 | 1 | no | — |
| 85 | C5×Dic6 | — | 4 | 2 | no | — |
| 86 | C5×Dic6 | — | 4 | 1 | no | — |
| 87 | C5×Dic6 | — | 8 | 1 | no | — |
| 88 | C5×SL(2,𝔽3) | C2×D4 | 1 | 1 | yes | characteristic |
| 89 | C3×C5×C8 | — | 4 | 2 | no | — |
| 90 | C2×#41⋊C3 | C22×C5 | 1 | 1 | yes | characteristic |
| 91 | #986 | C22×C5 | 1 | 1 | yes | characteristic |
| 92 | #985 | — | 2 | 1 | no | — |
| 93 | #984 | — | 2 | 1 | no | — |
| 94 | #984 | C22×C5 | 1 | 1 | yes | characteristic |
| 95 | #984 | C22×C5 | 1 | 2 | yes | — |
| 96 | #983 | — | 2 | 1 | no | — |
| 97 | C2×#226 | — | 2 | 1 | no | — |
| 98 | #909 | — | 4 | 1 | no | — |
| 99 | #131⋊C3 | C22×C5 | 1 | 2 | yes | — |
| 100 | C5×#41 | — | 3 | 1 | no | — |
| 101 | C5×#41 | — | 3 | 1 | no | — |
| 102 | C5×#41 | — | 6 | 1 | no | — |
| 103 | C5×#41 | — | 6 | 1 | no | — |
| 104 | C5×#41 | — | 6 | 1 | no | — |
| 105 | C5×#41 | — | 6 | 1 | no | — |
| 106 | C5×#41 | D12 | 1 | 1 | yes | characteristic |
| 107 | C5×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 108 | C2×C5×Q8 | — | 3 | 2 | no | — |
| 109 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 110 | C2×C5×Q8 | — | 6 | 1 | no | — |
| 111 | C2×C5×Q8 | — | 6 | 1 | no | — |
| 112 | C2×C5×Q8 | — | 6 | 1 | no | — |
| 113 | C2×C5×Q8 | — | 6 | 1 | no | — |
| 114 | C2×C5×Q8 | — | 6 | 1 | no | — |
| 115 | C2×C5×Q8 | D12 | 1 | 1 | yes | characteristic |
| 116 | C2×C5×D4 | — | 3 | 1 | no | — |
| 117 | C2×C5×D4 | — | 3 | 1 | no | — |
| 118 | C2×C5×D4 | — | 6 | 1 | no | — |
| 119 | C22×C4×C5 | — | 3 | 1 | no | — |
| 120 | C22×C4×C5 | — | 6 | 1 | no | — |
| 121 | C22×C4×C5 | — | 6 | 1 | no | — |
| 122 | C5×Q16 | — | 6 | 2 | no | — |
| 123 | C5×Q16 | — | 6 | 2 | no | — |
| 124 | C5×Q16 | — | 6 | 1 | no | — |
| 125 | C5×Q16 | — | 6 | 2 | no | — |
| 126 | C5×Q16 | — | 6 | 1 | no | — |
| 127 | C5×Q16 | — | 6 | 2 | no | — |
| 128 | C5×SD16 | — | 6 | 2 | no | — |
| 129 | C5×SD16 | — | 6 | 2 | no | — |
| 130 | C5×SD16 | — | 6 | 2 | no | — |
| 131 | C5×SD16 | — | 6 | 1 | no | — |
| 132 | C5×SD16 | — | 6 | 1 | no | — |
| 133 | C5×SD16 | — | 6 | 1 | no | — |
| 134 | C5×SD16 | — | 6 | 1 | no | — |
| 135 | C5×SD16 | — | 6 | 2 | no | — |
| 136 | C5×D8 | — | 6 | 1 | no | — |
| 137 | C5×D8 | — | 6 | 1 | no | — |
| 138 | C5×M16 | — | 3 | 1 | no | — |
| 139 | C5×M16 | — | 3 | 2 | no | — |
| 140 | C5×M16 | — | 3 | 2 | no | — |
| 141 | C5×M16 | — | 3 | 1 | no | — |
| 142 | C5×M16 | — | 3 | 1 | no | — |
| 143 | C5×M16 | — | 3 | 2 | no | — |
| 144 | C5×M16 | — | 6 | 1 | no | — |
| 145 | C5×M16 | — | 6 | 1 | no | — |
| 146 | C5×M16 | S4 | 1 | 1 | yes | characteristic |
| 147 | C2×C5×C8 | — | 3 | 2 | no | — |
| 148 | C2×C5×C8 | — | 6 | 1 | no | — |
| 149 | C2×C5×C8 | — | 6 | 1 | no | — |
| 150 | C2×C5×C8 | — | 6 | 1 | no | — |
| 151 | #575 | — | 3 | 1 | no | — |
| 152 | C2×#137 | — | 3 | 1 | no | — |
| 153 | C2×#137 | — | 3 | 1 | no | — |
| 154 | #568 | C5×D3 | 1 | 1 | yes | characteristic, complemented |
| 155 | #473 | — | 3 | 2 | no | — |
| 156 | #473 | — | 3 | 2 | no | — |
| 157 | #471 | — | 3 | 2 | no | — |
| 158 | #471 | — | 3 | 2 | no | — |
| 159 | #430 | — | 3 | 1 | no | — |
| 160 | #413 | — | 3 | 1 | no | — |
| 161 | C2×#101 | — | 3 | 1 | no | — |
| 162 | C22×C3×C5 | — | 4 | 1 | no | — |
| 163 | C2×C5×D3 | — | 8 | 1 | no | — |
| 164 | C3×C4×C5 | — | 4 | 1 | no | — |
| 165 | C3×C4×C5 | — | 4 | 1 | no | — |
| 166 | C5×Dic3 | — | 8 | 2 | no | — |
| 167 | C5×Dic3 | — | 8 | 1 | no | — |
| 168 | #235 | — | 4 | 1 | no | — |
| 169 | C2×Dic6 | — | 4 | 1 | no | — |
| 170 | #41⋊C3 | C5×D4 | 1 | 1 | yes | characteristic |
| 171 | #41⋊C3 | C23×C5 | 1 | 1 | yes | characteristic |
| 172 | C2×SL(2,𝔽3) | C5×D4 | 1 | 1 | yes | characteristic |
| 173 | GL(2,𝔽3) | — | 2 | 1 | no | — |
| 174 | #226 | — | 2 | 2 | no | — |
| 175 | #226 | — | 2 | 1 | no | — |
| 176 | C3×M16 | — | 4 | 1 | no | — |
| 177 | Dic12 | — | 4 | 2 | no | — |
| 178 | #204 | — | 4 | 2 | no | — |
| 179 | C23×C5 | — | 3 | 1 | no | — |
| 180 | C23×C5 | — | 6 | 1 | no | — |
| 181 | C5×Q8 | — | 3 | 1 | no | — |
| 182 | C5×Q8 | — | 6 | 2 | no | — |
| 183 | C5×Q8 | — | 6 | 1 | no | — |
| 184 | C5×Q8 | — | 6 | 2 | no | — |
| 185 | C5×Q8 | — | 6 | 1 | no | — |
| 186 | C5×Q8 | — | 12 | 1 | no | — |
| 187 | C5×Q8 | — | 12 | 1 | no | — |
| 188 | C5×Q8 | C2×D12 | 1 | 1 | yes | characteristic |
| 189 | C5×D4 | — | 3 | 1 | no | — |
| 190 | C5×D4 | — | 3 | 1 | no | — |
| 191 | C5×D4 | — | 6 | 1 | no | — |
| 192 | C5×D4 | — | 6 | 1 | no | — |
| 193 | C5×D4 | — | 6 | 1 | no | — |
| 194 | C5×D4 | — | 12 | 1 | no | — |
| 195 | C5×D4 | — | 12 | 1 | no | — |
| 196 | C2×C4×C5 | — | 3 | 1 | no | — |
| 197 | C2×C4×C5 | — | 3 | 1 | no | — |
| 198 | C2×C4×C5 | — | 3 | 1 | no | — |
| 199 | C2×C4×C5 | — | 3 | 1 | no | — |
| 200 | C2×C4×C5 | — | 3 | 1 | no | — |
| 201 | C2×C4×C5 | — | 6 | 1 | no | — |
| 202 | C2×C4×C5 | — | 6 | 2 | no | — |
| 203 | C2×C4×C5 | — | 12 | 1 | no | — |
| 204 | C2×C4×C5 | — | 12 | 1 | no | — |
| 205 | C2×C4×C5 | — | 12 | 1 | no | — |
| 206 | C2×C4×C5 | — | 12 | 1 | no | — |
| 207 | C2×C4×C5 | C2×S4 | 1 | 1 | yes | characteristic |
| 208 | C5×C8 | — | 3 | 2 | no | — |
| 209 | C5×C8 | — | 6 | 1 | no | — |
| 210 | C5×C8 | — | 6 | 1 | no | — |
| 211 | C5×C8 | — | 6 | 2 | no | — |
| 212 | C5×C8 | C2×S4 | 1 | 2 | yes | — |
| 213 | C2×#41 | — | 3 | 1 | no | — |
| 214 | C2×#41 | C2×C5×D3 | 1 | 1 | yes | characteristic |
| 215 | C22×Q8 | — | 3 | 1 | no | — |
| 216 | #137 | — | 3 | 2 | no | — |
| 217 | #137 | — | 3 | 1 | no | — |
| 218 | #137 | — | 3 | 2 | no | — |
| 219 | #137 | — | 3 | 1 | no | — |
| 220 | #137 | — | 6 | 1 | no | — |
| 221 | #137 | — | 6 | 2 | no | — |
| 222 | #137 | — | 6 | 1 | no | — |
| 223 | #137 | — | 6 | 1 | no | — |
| 224 | #137 | — | 6 | 1 | no | — |
| 225 | #137 | — | 6 | 1 | no | — |
| 226 | AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 227 | AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 228 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 229 | #135 | — | 6 | 1 | no | — |
| 230 | #135 | — | 6 | 1 | no | — |
| 231 | C2×Q16 | — | 3 | 2 | no | — |
| 232 | C2×Q16 | — | 6 | 1 | no | — |
| 233 | C2×SD16 | — | 3 | 2 | no | — |
| 234 | C2×SD16 | — | 6 | 1 | no | — |
| 235 | #131 | — | 3 | 2 | no | — |
| 236 | #131 | C2×C5×D3 | 1 | 2 | yes | — |
| 237 | C2×M16 | — | 3 | 1 | no | — |
| 238 | C2×M16 | — | 3 | 1 | no | — |
| 239 | C2×M16 | — | 3 | 1 | no | — |
| 240 | C2×M16 | — | 3 | 1 | no | — |
| 241 | #108 | — | 3 | 2 | no | — |
| 242 | #108 | — | 3 | 2 | no | — |
| 243 | #101 | — | 3 | 2 | no | — |
| 244 | #101 | — | 3 | 2 | no | — |
| 245 | #101 | — | 3 | 2 | no | — |
| 246 | #100 | — | 3 | 2 | no | — |
| 247 | C2×C3×C5 | — | 4 | 1 | no | — |
| 248 | C2×C3×C5 | — | 8 | 1 | no | — |
| 249 | C5×D3 | — | 16 | 1 | no | — |
| 250 | C2×C3×C4 | — | 4 | 1 | no | — |
| 251 | #67 | — | 8 | 1 | no | — |
| 252 | C2×Dic3 | — | 8 | 1 | no | — |
| 253 | D12 | — | 4 | 1 | no | — |
| 254 | C4×D3 | — | 8 | 1 | no | — |
| 255 | Dic6 | — | 4 | 2 | no | — |
| 256 | Dic6 | — | 4 | 1 | no | — |
| 257 | Dic6 | — | 8 | 1 | no | — |
| 258 | SL(2,𝔽3) | C2×C5×D4 | 1 | 1 | yes | characteristic |
| 259 | C3×C8 | — | 4 | 2 | no | — |
| 260 | C22×C5 | — | 3 | 1 | no | — |
| 261 | C22×C5 | — | 3 | 1 | no | — |
| 262 | C22×C5 | — | 12 | 1 | no | — |
| 263 | C22×C5 | — | 12 | 1 | no | — |
| 264 | C22×C5 | — | 24 | 1 | no | — |
| 265 | C22×C5 | C4⋊S4 | 1 | 1 | yes | characteristic |
| 266 | C4×C5 | — | 3 | 1 | no | — |
| 267 | C4×C5 | — | 3 | 1 | no | — |
| 268 | C4×C5 | — | 12 | 1 | no | — |
| 269 | C4×C5 | — | 12 | 2 | no | — |
| 270 | C4×C5 | C4⋊S4 | 1 | 1 | yes | characteristic |
| 271 | C4×C5 | C22×S4 | 1 | 1 | yes | characteristic |
| 272 | #41 | — | 3 | 1 | no | — |
| 273 | #41 | — | 3 | 1 | no | — |
| 274 | #41 | — | 6 | 1 | no | — |
| 275 | #41 | — | 6 | 1 | no | — |
| 276 | #41 | — | 6 | 1 | no | — |
| 277 | #41 | — | 6 | 1 | no | — |
| 278 | #41 | C5×D12 | 1 | 1 | yes | characteristic |
| 279 | #41 | C22×C5×D3 | 1 | 1 | yes | characteristic |
| 280 | C2×Q8 | — | 3 | 2 | no | — |
| 281 | C2×Q8 | — | 3 | 1 | no | — |
| 282 | C2×Q8 | — | 6 | 1 | no | — |
| 283 | C2×Q8 | — | 6 | 1 | no | — |
| 284 | C2×Q8 | — | 6 | 1 | no | — |
| 285 | C2×Q8 | — | 6 | 1 | no | — |
| 286 | C2×Q8 | — | 6 | 1 | no | — |
| 287 | C2×Q8 | C5×D12 | 1 | 1 | yes | characteristic |
| 288 | C2×D4 | — | 3 | 1 | no | — |
| 289 | C2×D4 | — | 3 | 1 | no | — |
| 290 | C2×D4 | — | 6 | 1 | no | — |
| 291 | C22×C4 | — | 3 | 1 | no | — |
| 292 | C22×C4 | — | 6 | 1 | no | — |
| 293 | C22×C4 | — | 6 | 1 | no | — |
| 294 | Q16 | — | 6 | 2 | no | — |
| 295 | Q16 | — | 6 | 2 | no | — |
| 296 | Q16 | — | 6 | 1 | no | — |
| 297 | Q16 | — | 6 | 2 | no | — |
| 298 | Q16 | — | 6 | 1 | no | — |
| 299 | Q16 | — | 6 | 2 | no | — |
| 300 | SD16 | — | 6 | 2 | no | — |
| 301 | SD16 | — | 6 | 2 | no | — |
| 302 | SD16 | — | 6 | 2 | no | — |
| 303 | SD16 | — | 6 | 1 | no | — |
| 304 | SD16 | — | 6 | 1 | no | — |
| 305 | SD16 | — | 6 | 1 | no | — |
| 306 | SD16 | — | 6 | 1 | no | — |
| 307 | SD16 | — | 6 | 2 | no | — |
| 308 | D8 | — | 6 | 1 | no | — |
| 309 | D8 | — | 6 | 1 | no | — |
| 310 | M16 | — | 3 | 1 | no | — |
| 311 | M16 | — | 3 | 2 | no | — |
| 312 | M16 | — | 3 | 2 | no | — |
| 313 | M16 | — | 3 | 2 | no | — |
| 314 | M16 | — | 3 | 1 | no | — |
| 315 | M16 | — | 3 | 1 | no | — |
| 316 | M16 | — | 6 | 1 | no | — |
| 317 | M16 | — | 6 | 1 | no | — |
| 318 | M16 | C5×S4 | 1 | 1 | yes | characteristic |
| 319 | C2×C8 | — | 3 | 2 | no | — |
| 320 | C2×C8 | — | 6 | 1 | no | — |
| 321 | C2×C8 | — | 6 | 1 | no | — |
| 322 | C2×C8 | — | 6 | 1 | no | — |
| 323 | C3×C5 | — | 4 | 1 | no | Hall |
| 324 | C22×C3 | — | 4 | 1 | no | — |
| 325 | C2×D3 | — | 8 | 1 | no | — |
| 326 | C3×C4 | — | 4 | 1 | no | — |
| 327 | C3×C4 | — | 4 | 1 | no | — |
| 328 | Dic3 | — | 8 | 2 | no | — |
| 329 | Dic3 | — | 8 | 1 | no | — |
| 330 | C2×C5 | — | 2 | 1 | no | — |
| 331 | C2×C5 | — | 6 | 1 | no | — |
| 332 | C2×C5 | — | 6 | 1 | no | — |
| 333 | C2×C5 | — | 24 | 1 | no | — |
| 334 | C2×C5 | C2×C4⋊S4 | 1 | 1 | yes | characteristic |
| 335 | C23 | — | 3 | 1 | no | — |
| 336 | C23 | — | 6 | 1 | no | — |
| 337 | Q8 | — | 3 | 1 | no | — |
| 338 | Q8 | — | 6 | 2 | no | — |
| 339 | Q8 | — | 6 | 1 | no | — |
| 340 | Q8 | — | 6 | 2 | no | — |
| 341 | Q8 | — | 6 | 1 | no | — |
| 342 | Q8 | — | 12 | 1 | no | — |
| 343 | Q8 | — | 12 | 1 | no | — |
| 344 | Q8 | C2×C5×D12 | 1 | 1 | yes | characteristic |
| 345 | D4 | — | 3 | 1 | no | — |
| 346 | D4 | — | 3 | 1 | no | — |
| 347 | D4 | — | 6 | 1 | no | — |
| 348 | D4 | — | 6 | 1 | no | — |
| 349 | D4 | — | 6 | 1 | no | — |
| 350 | D4 | — | 12 | 1 | no | — |
| 351 | D4 | — | 12 | 1 | no | — |
| 352 | C2×C4 | — | 3 | 1 | no | — |
| 353 | C2×C4 | — | 3 | 1 | no | — |
| 354 | C2×C4 | — | 3 | 1 | no | — |
| 355 | C2×C4 | — | 3 | 1 | no | — |
| 356 | C2×C4 | — | 3 | 1 | no | — |
| 357 | C2×C4 | — | 6 | 1 | no | — |
| 358 | C2×C4 | — | 6 | 2 | no | — |
| 359 | C2×C4 | — | 12 | 1 | no | — |
| 360 | C2×C4 | — | 12 | 1 | no | — |
| 361 | C2×C4 | — | 12 | 1 | no | — |
| 362 | C2×C4 | — | 12 | 1 | no | — |
| 363 | C2×C4 | C2×C5×S4 | 1 | 1 | yes | characteristic |
| 364 | C8 | — | 3 | 2 | no | — |
| 365 | C8 | — | 6 | 1 | no | — |
| 366 | C8 | — | 6 | 1 | no | — |
| 367 | C8 | — | 6 | 2 | no | — |
| 368 | C8 | C2×C5×S4 | 1 | 2 | yes | — |
| 369 | C2×C3 | — | 4 | 1 | no | — |
| 370 | C2×C3 | — | 8 | 1 | no | — |
| 371 | D3 | — | 16 | 1 | no | — |
| 372 | C5 | #85455 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 373 | C22 | — | 3 | 1 | no | — |
| 374 | C22 | — | 3 | 1 | no | — |
| 375 | C22 | — | 12 | 1 | no | — |
| 376 | C22 | — | 12 | 1 | no | — |
| 377 | C22 | — | 24 | 1 | no | — |
| 378 | C22 | C5×C4⋊S4 | 1 | 1 | yes | characteristic |
| 379 | C4 | — | 3 | 1 | no | — |
| 380 | C4 | — | 3 | 1 | no | — |
| 381 | C4 | — | 12 | 1 | no | — |
| 382 | C4 | — | 12 | 2 | no | — |
| 383 | C4 | C5×C4⋊S4 | 1 | 1 | yes | characteristic |
| 384 | C4 | C22×C5×S4 | 1 | 1 | yes | characteristic |
| 385 | C3 | — | 4 | 1 | no | Sylow |
| 386 | C2 | — | 2 | 1 | no | — |
| 387 | C2 | — | 6 | 1 | no | — |
| 388 | C2 | — | 6 | 1 | no | — |
| 389 | C2 | — | 24 | 1 | no | — |
| 390 | C2 | C2×C5×C4⋊S4 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×C5×#984 | C2 | semidirect |
| 3. C5×#568⋊C3 | C2 | semidirect |
| 4. C5×#5406 | C2 | semidirect |
| 5. C5×#5403 | C2 | semidirect |
| 17. #85455 | C5 | direct (N × H) |
| 21. C5×#568 | D3 | semidirect |
| 41. C2×#984 | C2×C5 | semidirect |
| 42. #568⋊C3 | C2×C5 | semidirect |
| 43. #5406 | C2×C5 | semidirect |
| 44. #5403 | C2×C5 | semidirect |
| 154. #568 | C5×D3 | semidirect |
| 372. C5 | #85455 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5923 | 2 |
| C2×C5×#984 | 2 |
| C5×#568⋊C3 | 2 |
| C5×#5406 | 2 |
| C5×#5403 | 2 |
| C5×#3069 | 3 |
| C5×#909 | 4 |
| #85455 | 5 |