Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1518 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 1518 conjugacy classes of subgroups — too many to draw. Only its 127 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #66283⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11756907 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C5×#986 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11756786 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | D5×#986 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11756781 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11756774 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11756771 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10619093 | — | 3 | 1 | no | maximal, Hall |
| 10 | C2×C5×#41⋊C3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 11 | #92018 | — | 4 | 1 | no | maximal |
| 12 | #4150⋊C3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | D5×#41⋊C3 | C22 | 1 | 2 | yes | complemented |
| 14 | C5⋊#994 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | #4147⋊C3 | C22 | 1 | 2 | yes | complemented |
| 16 | #91956 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #91955 | C22 | 1 | 2 | yes | complemented |
| 18 | #91954 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | #91953 | C22 | 1 | 2 | yes | complemented |
| 20 | C5×#986 | C22 | 1 | 2 | yes | complemented |
| 21 | C5×#986 | C22 | 1 | 2 | yes | complemented |
| 22 | C2×C5×GL(2,𝔽3) | C22 | 1 | 2 | yes | complemented |
| 23 | D5×GL(2,𝔽3) | C22 | 1 | 4 | yes | complemented |
| 24 | #91896 | C22 | 1 | 4 | yes | complemented |
| 25 | #91894 | C22 | 1 | 4 | yes | complemented |
| 26 | #91892 | C22 | 1 | 4 | yes | complemented |
| 27 | #87498 | — | 5 | 1 | no | maximal, Hall |
| 28 | #66283 | D3 | 1 | 1 | yes | characteristic, complemented |
| 29 | C2×#4144 | — | 3 | 1 | no | — |
| 30 | C2×C5×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 31 | #66156 | — | 3 | 1 | no | — |
| 32 | C2×#4078 | — | 3 | 1 | no | — |
| 33 | #66109 | — | 3 | 2 | no | — |
| 34 | #66109 | — | 3 | 2 | no | — |
| 35 | #66108 | — | 3 | 2 | no | — |
| 36 | #66108 | — | 3 | 2 | no | — |
| 37 | #66107 | — | 3 | 2 | no | — |
| 38 | #66107 | — | 3 | 2 | no | — |
| 39 | D5×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 40 | D5×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 41 | #66096 | — | 3 | 4 | no | — |
| 42 | #66091 | — | 3 | 4 | no | — |
| 43 | #66082 | — | 3 | 1 | no | — |
| 44 | #66079 | — | 3 | 1 | no | — |
| 45 | #6817 | — | 4 | 1 | no | — |
| 46 | C2×C5×D12 | — | 4 | 1 | no | — |
| 47 | C3×#709 | — | 4 | 1 | no | — |
| 48 | C5×#41⋊C3 | C23 | 1 | 1 | yes | characteristic |
| 49 | C5×#41⋊C3 | C23 | 1 | 1 | yes | characteristic, complemented |
| 50 | C2×C5×SL(2,𝔽3) | C23 | 1 | 1 | yes | characteristic, complemented |
| 51 | D3×C22⋊D5 | — | 4 | 4 | no | — |
| 52 | #6777 | — | 4 | 2 | no | — |
| 53 | D5×D12 | — | 4 | 2 | no | — |
| 54 | #6772 | — | 4 | 2 | no | — |
| 55 | #6768 | — | 4 | 2 | no | — |
| 56 | D5×SL(2,𝔽3) | C23 | 1 | 2 | yes | complemented |
| 57 | C5⋊(#41⋊C3) | C23 | 1 | 2 | yes | complemented |
| 58 | C5⋊GL(2,𝔽3) | C23 | 1 | 2 | yes | complemented |
| 59 | C5⋊#226 | C23 | 1 | 2 | yes | complemented |
| 60 | C5×GL(2,𝔽3) | C23 | 1 | 4 | yes | complemented |
| 61 | #5945 | — | 5 | 1 | no | — |
| 62 | #5926 | — | 5 | 2 | no | — |
| 63 | #5926 | — | 5 | 4 | no | — |
| 64 | #5925 | — | 5 | 2 | no | — |
| 65 | #5923 | — | 5 | 1 | no | — |
| 66 | #5923 | — | 5 | 2 | no | — |
| 67 | C2×#986 | — | 5 | 2 | no | — |
| 68 | C2×#986 | D5 | 1 | 1 | yes | characteristic, complemented |
| 69 | C2×C5×#41 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 70 | C22×C5×D4 | — | 3 | 1 | no | — |
| 71 | C22×C22⋊D5 | — | 6 | 2 | no | — |
| 72 | #4150 | — | 3 | 1 | no | — |
| 73 | #4150 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 74 | #4149 | — | 3 | 1 | no | — |
| 75 | #4149 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 76 | D5×#41 | — | 3 | 2 | no | — |
| 77 | D5×#41 | C2×D3 | 1 | 2 | yes | complemented |
| 78 | #4147 | C2×D3 | 1 | 2 | yes | complemented |
| 79 | #4144 | — | 3 | 2 | no | — |
| 80 | #4144 | — | 3 | 4 | no | — |
| 81 | #4144 | — | 3 | 2 | no | — |
| 82 | #4144 | — | 3 | 2 | no | — |
| 83 | #4144 | — | 6 | 1 | no | — |
| 84 | #4144 | — | 6 | 2 | no | — |
| 85 | #4144 | — | 6 | 1 | no | — |
| 86 | C2×#711 | — | 3 | 2 | no | — |
| 87 | C2×#711 | — | 6 | 1 | no | — |
| 88 | C2×D4×D5 | — | 3 | 2 | no | — |
| 89 | C2×D4×D5 | — | 6 | 1 | no | — |
| 90 | C2×#709 | — | 3 | 1 | no | — |
| 91 | C2×#709 | — | 3 | 1 | no | — |
| 92 | C2×#709 | — | 3 | 1 | no | — |
| 93 | C5×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 94 | C5×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 95 | C5×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 96 | C5×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 97 | C2×C5×SD16 | — | 3 | 2 | no | — |
| 98 | C2×C5×D8 | — | 3 | 2 | no | — |
| 99 | C2×C5×M16 | — | 3 | 1 | no | — |
| 100 | #4097 | — | 3 | 1 | no | — |
| 101 | #4097 | — | 3 | 1 | no | — |
| 102 | #4096 | — | 3 | 2 | no | — |
| 103 | #4096 | — | 3 | 2 | no | — |
| 104 | #4095 | — | 3 | 1 | no | — |
| 105 | #4095 | — | 3 | 1 | no | — |
| 106 | #4088 | — | 3 | 2 | no | — |
| 107 | C2×#687 | — | 3 | 2 | no | — |
| 108 | #4078 | — | 3 | 2 | no | — |
| 109 | #4078 | — | 3 | 4 | no | — |
| 110 | #4078 | — | 3 | 2 | no | — |
| 111 | #4078 | — | 3 | 2 | no | — |
| 112 | C2×#686 | — | 3 | 2 | no | — |
| 113 | C2×#681 | — | 3 | 1 | no | — |
| 114 | #4062 | — | 3 | 4 | no | — |
| 115 | #4062 | — | 3 | 4 | no | — |
| 116 | #4061 | — | 3 | 4 | no | — |
| 117 | #4061 | — | 3 | 4 | no | — |
| 118 | #4060 | — | 3 | 4 | no | — |
| 119 | #4060 | — | 3 | 4 | no | — |
| 120 | D5×SD16 | — | 3 | 4 | no | — |
| 121 | D5×SD16 | — | 3 | 4 | no | — |
| 122 | #4058 | — | 3 | 4 | no | — |
| 123 | #4058 | — | 3 | 4 | no | — |
| 124 | #4057 | — | 3 | 4 | no | — |
| 125 | #4057 | — | 3 | 4 | no | — |
| 126 | #4057 | — | 3 | 4 | no | — |
| 127 | #4057 | — | 3 | 4 | no | — |
| 128 | D5×D8 | — | 3 | 4 | no | — |
| 129 | D5×D8 | — | 3 | 4 | no | — |
| 130 | #4055 | — | 3 | 2 | no | — |
| 131 | #4055 | — | 3 | 2 | no | — |
| 132 | #4054 | — | 3 | 2 | no | — |
| 133 | #4054 | — | 3 | 2 | no | — |
| 134 | #4053 | — | 3 | 2 | no | — |
| 135 | #4053 | — | 3 | 2 | no | — |
| 136 | D5×M16 | — | 3 | 2 | no | — |
| 137 | D5×M16 | — | 3 | 2 | no | — |
| 138 | #4050 | — | 3 | 4 | no | — |
| 139 | #4047 | — | 3 | 4 | no | — |
| 140 | #3585 | — | 15 | 1 | no | Sylow |
| 141 | C22×C5×D3 | — | 4 | 2 | no | — |
| 142 | C2×D3×D5 | — | 4 | 4 | no | — |
| 143 | C2×C3×C4×C5 | — | 4 | 1 | no | — |
| 144 | #1220 | — | 4 | 2 | no | — |
| 145 | D60 | — | 4 | 1 | no | — |
| 146 | C4×D15 | — | 4 | 2 | no | — |
| 147 | Dic30 | — | 4 | 1 | no | — |
| 148 | C5×D12 | — | 4 | 2 | no | — |
| 149 | C5×D12 | — | 4 | 2 | no | — |
| 150 | C3×C22⋊D5 | — | 4 | 2 | no | — |
| 151 | C3×D20 | — | 4 | 1 | no | — |
| 152 | C3×C4×D5 | — | 4 | 2 | no | — |
| 153 | C3×Dic10 | — | 4 | 1 | no | — |
| 154 | C5×SL(2,𝔽3) | C24 | 1 | 1 | yes | characteristic |
| 155 | #1203 | — | 4 | 4 | no | — |
| 156 | #1201 | — | 4 | 4 | no | — |
| 157 | D3×Dic5 | — | 4 | 4 | no | — |
| 158 | #1009 | — | 20 | 1 | no | — |
| 159 | 2−1+4⋊C3 | — | 5 | 1 | no | — |
| 160 | 2−1+4⋊C3 | — | 5 | 2 | no | — |
| 161 | #994 | — | 5 | 1 | no | — |
| 162 | C2×#41⋊C3 | — | 5 | 2 | no | — |
| 163 | C2×#41⋊C3 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 164 | #986 | — | 5 | 1 | no | — |
| 165 | #986 | — | 5 | 4 | no | — |
| 166 | #986 | C2×D5 | 1 | 2 | yes | complemented |
| 167 | #986 | C2×D5 | 1 | 2 | yes | complemented |
| 168 | #985 | — | 5 | 2 | no | — |
| 169 | #985 | — | 5 | 4 | no | — |
| 170 | #984 | — | 5 | 1 | no | — |
| 171 | #983 | — | 5 | 2 | no | — |
| 172 | #983 | — | 5 | 4 | no | — |
| 173 | C2×GL(2,𝔽3) | — | 5 | 4 | no | — |
| 174 | C2×GL(2,𝔽3) | C2×D5 | 1 | 2 | yes | complemented |
| 175 | C24×C5 | — | 6 | 1 | no | — |
| 176 | C23×D5 | — | 6 | 2 | no | — |
| 177 | C5×#41 | — | 3 | 1 | no | — |
| 178 | C5×#41 | — | 3 | 1 | no | — |
| 179 | C5×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 180 | C5×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 181 | C2×C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 182 | C2×C5×D4 | — | 3 | 1 | no | — |
| 183 | C2×C5×D4 | — | 3 | 2 | no | — |
| 184 | C2×C5×D4 | — | 3 | 2 | no | — |
| 185 | C2×C5×D4 | — | 3 | 2 | no | — |
| 186 | C2×C5×D4 | — | 6 | 1 | no | — |
| 187 | C2×C5×D4 | — | 6 | 1 | no | — |
| 188 | C2×C5×D4 | — | 6 | 1 | no | — |
| 189 | C22×C4×C5 | — | 3 | 1 | no | — |
| 190 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 191 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 192 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 193 | C2×C22⋊D5 | — | 6 | 4 | no | — |
| 194 | C2×C22⋊D5 | — | 6 | 4 | no | — |
| 195 | C2×C22⋊D5 | — | 6 | 4 | no | — |
| 196 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 197 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 198 | C2×C22⋊D5 | — | 6 | 4 | no | — |
| 199 | C22×Dic5 | — | 6 | 2 | no | — |
| 200 | #713 | — | 3 | 2 | no | — |
| 201 | #713 | C22×D3 | 1 | 2 | yes | — |
| 202 | Q8×D5 | — | 3 | 2 | no | — |
| 203 | Q8×D5 | C22×D3 | 1 | 2 | yes | — |
| 204 | #711 | — | 3 | 2 | no | — |
| 205 | #711 | — | 3 | 2 | no | — |
| 206 | #711 | — | 3 | 4 | no | — |
| 207 | #711 | — | 3 | 4 | no | — |
| 208 | #711 | — | 6 | 2 | no | — |
| 209 | #711 | — | 6 | 2 | no | — |
| 210 | #711 | — | 6 | 4 | no | — |
| 211 | #711 | — | 6 | 2 | no | — |
| 212 | #711 | — | 6 | 2 | no | — |
| 213 | #711 | — | 6 | 2 | no | — |
| 214 | D4×D5 | — | 3 | 2 | no | — |
| 215 | D4×D5 | — | 3 | 2 | no | — |
| 216 | D4×D5 | — | 3 | 4 | no | — |
| 217 | D4×D5 | — | 3 | 4 | no | — |
| 218 | D4×D5 | — | 6 | 2 | no | — |
| 219 | D4×D5 | — | 6 | 2 | no | — |
| 220 | D4×D5 | — | 6 | 4 | no | — |
| 221 | D4×D5 | — | 6 | 2 | no | — |
| 222 | D4×D5 | — | 6 | 2 | no | — |
| 223 | D4×D5 | — | 6 | 2 | no | — |
| 224 | #709 | — | 3 | 1 | no | — |
| 225 | #709 | — | 3 | 2 | no | — |
| 226 | #709 | — | 3 | 1 | no | — |
| 227 | #709 | — | 3 | 2 | no | — |
| 228 | #709 | — | 3 | 2 | no | — |
| 229 | #709 | — | 3 | 2 | no | — |
| 230 | #709 | — | 3 | 2 | no | — |
| 231 | #709 | — | 3 | 2 | no | — |
| 232 | #709 | — | 3 | 1 | no | — |
| 233 | #709 | — | 6 | 1 | no | — |
| 234 | #709 | — | 6 | 1 | no | — |
| 235 | #709 | — | 6 | 1 | no | — |
| 236 | #709 | S4 | 1 | 1 | yes | characteristic |
| 237 | C2×D20 | — | 3 | 1 | no | — |
| 238 | C2×D20 | — | 3 | 1 | no | — |
| 239 | C2×D20 | — | 3 | 1 | no | — |
| 240 | C2×C4×D5 | — | 3 | 2 | no | — |
| 241 | C2×C4×D5 | — | 6 | 1 | no | — |
| 242 | C2×C4×D5 | — | 6 | 1 | no | — |
| 243 | C2×Dic10 | — | 3 | 1 | no | — |
| 244 | C2×Dic10 | — | 3 | 1 | no | — |
| 245 | C2×Dic10 | — | 3 | 1 | no | — |
| 246 | C5×SD16 | — | 3 | 4 | no | — |
| 247 | C5×SD16 | — | 3 | 4 | no | — |
| 248 | C5×D8 | — | 3 | 4 | no | — |
| 249 | C5×D8 | — | 3 | 4 | no | — |
| 250 | C5×M16 | — | 3 | 2 | no | — |
| 251 | C5×M16 | — | 3 | 2 | no | — |
| 252 | C2×C5×C8 | — | 3 | 2 | no | — |
| 253 | #689 | — | 3 | 2 | no | — |
| 254 | #689 | — | 3 | 2 | no | — |
| 255 | #688 | — | 3 | 2 | no | — |
| 256 | #688 | — | 3 | 2 | no | — |
| 257 | #687 | — | 3 | 2 | no | — |
| 258 | #687 | — | 3 | 2 | no | — |
| 259 | #687 | — | 3 | 4 | no | — |
| 260 | #687 | — | 3 | 4 | no | — |
| 261 | #686 | — | 3 | 2 | no | — |
| 262 | #686 | — | 3 | 2 | no | — |
| 263 | #686 | — | 3 | 4 | no | — |
| 264 | #686 | — | 3 | 4 | no | — |
| 265 | #681 | — | 3 | 1 | no | — |
| 266 | #681 | — | 3 | 1 | no | — |
| 267 | #681 | — | 3 | 2 | no | — |
| 268 | C2×#168 | — | 3 | 2 | no | — |
| 269 | Dic20 | — | 3 | 4 | no | — |
| 270 | D40 | — | 3 | 4 | no | — |
| 271 | #677 | — | 3 | 4 | no | — |
| 272 | #677 | — | 3 | 4 | no | — |
| 273 | #676 | — | 3 | 4 | no | — |
| 274 | #676 | — | 3 | 4 | no | — |
| 275 | C8×D5 | — | 3 | 4 | no | — |
| 276 | C8×D5 | — | 3 | 4 | no | — |
| 277 | #585 | — | 5 | 1 | no | — |
| 278 | C2×H(5,𝔽2) | — | 15 | 1 | no | — |
| 279 | #577 | — | 15 | 4 | no | — |
| 280 | #577 | — | 15 | 2 | no | — |
| 281 | #577 | — | 15 | 2 | no | — |
| 282 | #576 | — | 15 | 4 | no | — |
| 283 | #576 | — | 15 | 2 | no | — |
| 284 | #576 | — | 15 | 2 | no | — |
| 285 | #575 | — | 15 | 1 | no | — |
| 286 | #575 | — | 15 | 2 | no | — |
| 287 | #575 | — | 15 | 2 | no | — |
| 288 | #575 | — | 15 | 1 | no | — |
| 289 | C2×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 290 | C2×AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 291 | C2×AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 292 | C2×AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 293 | #568 | — | 15 | 1 | no | — |
| 294 | C22×C3×C5 | — | 4 | 1 | no | — |
| 295 | C2×D15 | — | 4 | 2 | no | — |
| 296 | C2×C5×D3 | — | 4 | 4 | no | — |
| 297 | C2×C5×D3 | — | 16 | 2 | no | — |
| 298 | C2×C3×D5 | — | 4 | 2 | no | — |
| 299 | D3×D5 | — | 16 | 4 | no | — |
| 300 | C3×C4×C5 | — | 4 | 1 | no | — |
| 301 | C3×C4×C5 | — | 4 | 1 | no | — |
| 302 | Dic15 | — | 4 | 2 | no | — |
| 303 | C3×Dic5 | — | 4 | 2 | no | — |
| 304 | C3×#41 | — | 20 | 1 | no | — |
| 305 | #239 | — | 20 | 2 | no | — |
| 306 | D3×D4 | — | 20 | 2 | no | — |
| 307 | D3×D4 | — | 20 | 4 | no | — |
| 308 | #235 | — | 20 | 2 | no | — |
| 309 | #235 | — | 20 | 1 | no | — |
| 310 | C2×D12 | — | 4 | 1 | no | — |
| 311 | C2×D12 | — | 20 | 2 | no | — |
| 312 | #41⋊C3 | — | 5 | 2 | no | — |
| 313 | #41⋊C3 | C22×D5 | 1 | 1 | yes | characteristic |
| 314 | #41⋊C3 | C22×D5 | 1 | 1 | yes | characteristic, complemented |
| 315 | C2×SL(2,𝔽3) | — | 5 | 2 | no | — |
| 316 | C2×SL(2,𝔽3) | C22×D5 | 1 | 1 | yes | characteristic, complemented |
| 317 | GL(2,𝔽3) | — | 5 | 2 | no | — |
| 318 | GL(2,𝔽3) | C22×D5 | 1 | 4 | yes | complemented |
| 319 | #226 | — | 5 | 2 | no | — |
| 320 | C23×C5 | — | 3 | 1 | no | — |
| 321 | C23×C5 | — | 6 | 2 | no | — |
| 322 | C23×C5 | — | 6 | 2 | no | — |
| 323 | C23×C5 | — | 6 | 2 | no | — |
| 324 | C23×C5 | — | 24 | 2 | no | — |
| 325 | C22×D5 | — | 3 | 2 | no | — |
| 326 | C22×D5 | — | 6 | 1 | no | — |
| 327 | C22×D5 | — | 6 | 4 | no | — |
| 328 | C22×D5 | — | 6 | 1 | no | — |
| 329 | C22×D5 | — | 6 | 4 | no | — |
| 330 | C22×D5 | — | 24 | 4 | no | — |
| 331 | C5×Q8 | — | 3 | 1 | no | — |
| 332 | C5×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 333 | C5×D4 | — | 3 | 1 | no | — |
| 334 | C5×D4 | — | 3 | 1 | no | — |
| 335 | C5×D4 | — | 3 | 4 | no | — |
| 336 | C5×D4 | — | 6 | 1 | no | — |
| 337 | C5×D4 | — | 6 | 2 | no | — |
| 338 | C5×D4 | — | 6 | 2 | no | — |
| 339 | C5×D4 | — | 6 | 2 | no | — |
| 340 | C2×C4×C5 | — | 3 | 1 | no | — |
| 341 | C2×C4×C5 | — | 3 | 1 | no | — |
| 342 | C2×C4×C5 | — | 3 | 1 | no | — |
| 343 | C2×C4×C5 | — | 3 | 1 | no | — |
| 344 | C2×C4×C5 | — | 3 | 1 | no | — |
| 345 | C2×C4×C5 | C2×S4 | 1 | 1 | yes | characteristic |
| 346 | C22⋊D5 | — | 3 | 2 | no | — |
| 347 | C22⋊D5 | — | 3 | 2 | no | — |
| 348 | C22⋊D5 | — | 3 | 2 | no | — |
| 349 | C22⋊D5 | — | 6 | 2 | no | — |
| 350 | C22⋊D5 | — | 6 | 4 | no | — |
| 351 | C22⋊D5 | — | 6 | 4 | no | — |
| 352 | C22⋊D5 | — | 6 | 2 | no | — |
| 353 | C22⋊D5 | — | 6 | 2 | no | — |
| 354 | C22⋊D5 | — | 6 | 4 | no | — |
| 355 | C22⋊D5 | — | 6 | 4 | no | — |
| 356 | C22⋊D5 | C2×S4 | 1 | 2 | yes | — |
| 357 | C2×Dic5 | — | 3 | 2 | no | — |
| 358 | C2×Dic5 | — | 6 | 1 | no | — |
| 359 | C2×Dic5 | — | 6 | 4 | no | — |
| 360 | C2×Dic5 | — | 6 | 1 | no | — |
| 361 | C2×Dic5 | — | 6 | 4 | no | — |
| 362 | D20 | — | 3 | 2 | no | — |
| 363 | D20 | — | 3 | 2 | no | — |
| 364 | D20 | — | 3 | 2 | no | — |
| 365 | D20 | — | 3 | 1 | no | — |
| 366 | D20 | — | 6 | 1 | no | — |
| 367 | D20 | C2×S4 | 1 | 1 | yes | characteristic |
| 368 | C4×D5 | — | 3 | 2 | no | — |
| 369 | C4×D5 | — | 3 | 2 | no | — |
| 370 | C4×D5 | — | 3 | 2 | no | — |
| 371 | C4×D5 | — | 6 | 2 | no | — |
| 372 | C4×D5 | — | 6 | 2 | no | — |
| 373 | C4×D5 | — | 6 | 2 | no | — |
| 374 | C4×D5 | C2×S4 | 1 | 2 | yes | — |
| 375 | Dic10 | — | 3 | 1 | no | — |
| 376 | Dic10 | — | 3 | 2 | no | — |
| 377 | Dic10 | — | 3 | 2 | no | — |
| 378 | Dic10 | — | 3 | 2 | no | — |
| 379 | Dic10 | — | 6 | 1 | no | — |
| 380 | Dic10 | C2×S4 | 1 | 1 | yes | characteristic |
| 381 | C5×C8 | — | 3 | 4 | no | — |
| 382 | #168 | — | 3 | 2 | no | — |
| 383 | #168 | — | 3 | 2 | no | — |
| 384 | 2−1+4 | — | 5 | 1 | no | — |
| 385 | 2−1+4 | — | 5 | 2 | no | — |
| 386 | 2−1+4 | — | 15 | 1 | no | — |
| 387 | H(5,𝔽2) | — | 5 | 1 | no | — |
| 388 | H(5,𝔽2) | — | 15 | 2 | no | — |
| 389 | H(5,𝔽2) | — | 15 | 4 | no | — |
| 390 | H(5,𝔽2) | — | 15 | 2 | no | — |
| 391 | H(5,𝔽2) | — | 15 | 2 | no | — |
| 392 | H(5,𝔽2) | — | 15 | 1 | no | — |
| 393 | H(5,𝔽2) | — | 30 | 1 | no | — |
| 394 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 395 | H(5,𝔽2) | — | 30 | 1 | no | — |
| 396 | C2×#41 | — | 5 | 2 | no | — |
| 397 | C2×#41 | — | 15 | 1 | no | — |
| 398 | C2×#41 | — | 15 | 1 | no | — |
| 399 | C2×#41 | — | 15 | 1 | no | — |
| 400 | C2×#41 | — | 15 | 2 | no | — |
| 401 | C2×#41 | — | 15 | 2 | no | — |
| 402 | C2×#41 | — | 30 | 1 | no | — |
| 403 | C2×#41 | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 404 | C22×D4 | — | 3 | 1 | no | — |
| 405 | C22×D4 | — | 15 | 2 | no | — |
| 406 | C22×D4 | — | 30 | 1 | no | — |
| 407 | C22×D4 | — | 30 | 2 | no | — |
| 408 | #137 | — | 15 | 2 | no | — |
| 409 | #137 | — | 15 | 2 | no | — |
| 410 | #137 | — | 15 | 4 | no | — |
| 411 | #137 | — | 15 | 4 | no | — |
| 412 | #137 | — | 15 | 1 | no | — |
| 413 | #137 | — | 15 | 1 | no | — |
| 414 | #137 | — | 15 | 2 | no | — |
| 415 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 416 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 417 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 418 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 419 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 420 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 421 | AGL(1,ℤ/8) | — | 15 | 4 | no | — |
| 422 | AGL(1,ℤ/8) | — | 15 | 4 | no | — |
| 423 | AGL(1,ℤ/8) | — | 15 | 4 | no | — |
| 424 | AGL(1,ℤ/8) | — | 15 | 4 | no | — |
| 425 | AGL(1,ℤ/8) | — | 15 | 4 | no | — |
| 426 | AGL(1,ℤ/8) | — | 15 | 4 | no | — |
| 427 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 428 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 429 | AGL(1,ℤ/8) | — | 15 | 4 | no | — |
| 430 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 431 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 432 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 433 | #135 | — | 15 | 4 | no | — |
| 434 | #135 | — | 15 | 4 | no | — |
| 435 | #135 | — | 15 | 4 | no | — |
| 436 | #135 | — | 15 | 4 | no | — |
| 437 | #135 | — | 15 | 4 | no | — |
| 438 | #135 | — | 15 | 2 | no | — |
| 439 | #135 | — | 15 | 2 | no | — |
| 440 | C2×SD16 | — | 3 | 2 | no | — |
| 441 | C2×SD16 | — | 15 | 4 | no | — |
| 442 | C2×SD16 | — | 15 | 4 | no | — |
| 443 | C2×SD16 | — | 15 | 2 | no | — |
| 444 | C2×D8 | — | 3 | 2 | no | — |
| 445 | C2×D8 | — | 15 | 4 | no | — |
| 446 | C2×D8 | — | 15 | 4 | no | — |
| 447 | C2×D8 | — | 15 | 2 | no | — |
| 448 | #131 | — | 15 | 4 | no | — |
| 449 | #131 | — | 15 | 2 | no | — |
| 450 | #131 | — | 15 | 2 | no | — |
| 451 | C2×M16 | — | 3 | 1 | no | — |
| 452 | C2×M16 | — | 15 | 2 | no | — |
| 453 | C2×M16 | — | 15 | 2 | no | — |
| 454 | C2×M16 | — | 15 | 1 | no | — |
| 455 | C2×C3×C5 | — | 4 | 1 | no | — |
| 456 | C2×C3×C5 | — | 8 | 1 | no | — |
| 457 | D15 | — | 8 | 2 | no | — |
| 458 | C3×D5 | — | 8 | 2 | no | — |
| 459 | C5×D3 | — | 8 | 4 | no | — |
| 460 | C22×D3 | — | 4 | 2 | no | — |
| 461 | C22×D3 | — | 20 | 4 | no | — |
| 462 | C3×Q8 | — | 20 | 1 | no | — |
| 463 | C3×D4 | — | 20 | 1 | no | — |
| 464 | C3×D4 | — | 20 | 2 | no | — |
| 465 | C2×C3×C4 | — | 4 | 1 | no | — |
| 466 | C2×C3×C4 | — | 20 | 2 | no | — |
| 467 | #67 | — | 20 | 4 | no | — |
| 468 | #67 | — | 20 | 2 | no | — |
| 469 | D12 | — | 4 | 2 | no | — |
| 470 | D12 | — | 4 | 2 | no | — |
| 471 | D12 | — | 20 | 1 | no | — |
| 472 | D12 | — | 20 | 4 | no | — |
| 473 | C4×D3 | — | 20 | 2 | no | — |
| 474 | C4×D3 | — | 20 | 4 | no | — |
| 475 | Dic6 | — | 20 | 1 | no | — |
| 476 | SL(2,𝔽3) | C23×D5 | 1 | 1 | yes | characteristic |
| 477 | C22×C5 | — | 3 | 1 | no | — |
| 478 | C22×C5 | — | 3 | 1 | no | — |
| 479 | C22×C5 | — | 6 | 4 | no | — |
| 480 | C22×C5 | — | 12 | 1 | no | — |
| 481 | C22×C5 | — | 12 | 4 | no | — |
| 482 | C22×C5 | — | 24 | 2 | no | — |
| 483 | C22×C5 | — | 24 | 2 | no | — |
| 484 | C22×C5 | C22×S4 | 1 | 1 | yes | characteristic |
| 485 | C2×D5 | — | 3 | 2 | no | — |
| 486 | C2×D5 | — | 6 | 2 | no | — |
| 487 | C2×D5 | — | 12 | 2 | no | — |
| 488 | C2×D5 | — | 12 | 2 | no | — |
| 489 | C2×D5 | — | 24 | 4 | no | — |
| 490 | C2×D5 | — | 24 | 1 | no | — |
| 491 | C2×D5 | — | 24 | 4 | no | — |
| 492 | C2×D5 | C22×S4 | 1 | 2 | yes | — |
| 493 | C4×C5 | — | 3 | 1 | no | — |
| 494 | C4×C5 | — | 3 | 1 | no | — |
| 495 | C4×C5 | C22×S4 | 1 | 1 | yes | characteristic |
| 496 | C4×C5 | C22×S4 | 1 | 1 | yes | characteristic |
| 497 | Dic5 | — | 3 | 2 | no | — |
| 498 | Dic5 | — | 6 | 2 | no | — |
| 499 | Dic5 | C22×S4 | 1 | 2 | yes | — |
| 500 | C24 | — | 6 | 1 | no | — |
| 501 | C24 | — | 30 | 2 | no | — |
| 502 | #41 | — | 3 | 1 | no | — |
| 503 | #41 | — | 3 | 1 | no | — |
| 504 | #41 | — | 5 | 1 | no | — |
| 505 | #41 | — | 5 | 2 | no | — |
| 506 | #41 | — | 15 | 2 | no | — |
| 507 | #41 | — | 15 | 2 | no | — |
| 508 | #41 | — | 15 | 1 | no | — |
| 509 | #41 | — | 15 | 1 | no | — |
| 510 | #41 | — | 15 | 2 | no | — |
| 511 | #41 | — | 15 | 2 | no | — |
| 512 | #41 | — | 15 | 2 | no | — |
| 513 | #41 | — | 15 | 2 | no | — |
| 514 | #41 | — | 15 | 1 | no | — |
| 515 | #41 | — | 15 | 2 | no | — |
| 516 | #41 | — | 15 | 2 | no | — |
| 517 | #41 | — | 15 | 4 | no | — |
| 518 | #41 | — | 15 | 4 | no | — |
| 519 | #41 | — | 15 | 2 | no | — |
| 520 | #41 | — | 30 | 1 | no | — |
| 521 | #41 | — | 30 | 1 | no | — |
| 522 | #41 | — | 30 | 2 | no | — |
| 523 | #41 | — | 30 | 2 | no | — |
| 524 | #41 | — | 30 | 2 | no | — |
| 525 | #41 | — | 30 | 2 | no | — |
| 526 | #41 | — | 30 | 4 | no | — |
| 527 | #41 | — | 30 | 2 | no | — |
| 528 | #41 | — | 30 | 1 | no | — |
| 529 | #41 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 530 | #41 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 531 | C2×Q8 | — | 5 | 2 | no | — |
| 532 | C2×Q8 | — | 15 | 1 | no | — |
| 533 | C2×Q8 | — | 15 | 1 | no | — |
| 534 | C2×Q8 | — | 15 | 1 | no | — |
| 535 | C2×Q8 | — | 15 | 2 | no | — |
| 536 | C2×Q8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 537 | C2×D4 | — | 3 | 1 | no | — |
| 538 | C2×D4 | — | 3 | 2 | no | — |
| 539 | C2×D4 | — | 3 | 2 | no | — |
| 540 | C2×D4 | — | 3 | 2 | no | — |
| 541 | C2×D4 | — | 6 | 1 | no | — |
| 542 | C2×D4 | — | 6 | 1 | no | — |
| 543 | C2×D4 | — | 6 | 1 | no | — |
| 544 | C2×D4 | — | 15 | 1 | no | — |
| 545 | C2×D4 | — | 15 | 1 | no | — |
| 546 | C2×D4 | — | 15 | 1 | no | — |
| 547 | C2×D4 | — | 15 | 2 | no | — |
| 548 | C2×D4 | — | 15 | 2 | no | — |
| 549 | C2×D4 | — | 15 | 4 | no | — |
| 550 | C2×D4 | — | 15 | 4 | no | — |
| 551 | C2×D4 | — | 15 | 2 | no | — |
| 552 | C2×D4 | — | 30 | 2 | no | — |
| 553 | C2×D4 | — | 30 | 2 | no | — |
| 554 | C2×D4 | — | 30 | 2 | no | — |
| 555 | C2×D4 | — | 30 | 2 | no | — |
| 556 | C2×D4 | — | 30 | 4 | no | — |
| 557 | C2×D4 | — | 30 | 2 | no | — |
| 558 | C2×D4 | — | 30 | 4 | no | — |
| 559 | C2×D4 | — | 30 | 2 | no | — |
| 560 | C2×D4 | — | 30 | 1 | no | — |
| 561 | C2×D4 | — | 30 | 4 | no | — |
| 562 | C2×D4 | — | 30 | 4 | no | — |
| 563 | C2×D4 | — | 30 | 4 | no | — |
| 564 | C2×D4 | — | 30 | 1 | no | — |
| 565 | C2×D4 | — | 30 | 2 | no | — |
| 566 | C22×C4 | — | 3 | 1 | no | — |
| 567 | C22×C4 | — | 15 | 2 | no | — |
| 568 | C22×C4 | — | 30 | 1 | no | — |
| 569 | C22×C4 | — | 30 | 1 | no | — |
| 570 | C22×C4 | — | 30 | 2 | no | — |
| 571 | Q16 | — | 15 | 4 | no | — |
| 572 | Q16 | — | 15 | 2 | no | — |
| 573 | Q16 | — | 15 | 2 | no | — |
| 574 | SD16 | — | 3 | 4 | no | — |
| 575 | SD16 | — | 3 | 4 | no | — |
| 576 | SD16 | — | 15 | 4 | no | — |
| 577 | SD16 | — | 15 | 4 | no | — |
| 578 | SD16 | — | 15 | 4 | no | — |
| 579 | SD16 | — | 15 | 4 | no | — |
| 580 | SD16 | — | 15 | 2 | no | — |
| 581 | SD16 | — | 15 | 2 | no | — |
| 582 | SD16 | — | 15 | 2 | no | — |
| 583 | SD16 | — | 15 | 2 | no | — |
| 584 | D8 | — | 3 | 4 | no | — |
| 585 | D8 | — | 3 | 4 | no | — |
| 586 | D8 | — | 15 | 4 | no | — |
| 587 | D8 | — | 15 | 2 | no | — |
| 588 | D8 | — | 15 | 2 | no | — |
| 589 | D8 | — | 15 | 4 | no | — |
| 590 | D8 | — | 15 | 4 | no | — |
| 591 | M16 | — | 3 | 2 | no | — |
| 592 | M16 | — | 3 | 2 | no | — |
| 593 | M16 | — | 15 | 4 | no | — |
| 594 | M16 | — | 15 | 4 | no | — |
| 595 | M16 | — | 15 | 1 | no | — |
| 596 | M16 | — | 15 | 1 | no | — |
| 597 | M16 | — | 15 | 2 | no | — |
| 598 | C2×C8 | — | 3 | 2 | no | — |
| 599 | C2×C8 | — | 15 | 4 | no | — |
| 600 | C2×C8 | — | 15 | 4 | no | — |
| 601 | C2×C8 | — | 15 | 2 | no | — |
| 602 | C3×C5 | — | 4 | 1 | no | Hall |
| 603 | C22×C3 | — | 4 | 1 | no | — |
| 604 | C22×C3 | — | 20 | 2 | no | — |
| 605 | C2×D3 | — | 4 | 4 | no | — |
| 606 | C2×D3 | — | 16 | 2 | no | — |
| 607 | C2×D3 | — | 20 | 2 | no | — |
| 608 | C2×D3 | — | 80 | 4 | no | — |
| 609 | C3×C4 | — | 4 | 1 | no | — |
| 610 | C3×C4 | — | 4 | 1 | no | — |
| 611 | C3×C4 | — | 20 | 2 | no | — |
| 612 | Dic3 | — | 20 | 2 | no | — |
| 613 | C2×C5 | — | 2 | 1 | no | — |
| 614 | C2×C5 | — | 6 | 1 | no | — |
| 615 | C2×C5 | — | 6 | 1 | no | — |
| 616 | C2×C5 | — | 12 | 4 | no | — |
| 617 | C2×C5 | C23×S4 | 1 | 1 | yes | characteristic |
| 618 | D5 | — | 2 | 2 | no | — |
| 619 | D5 | — | 6 | 2 | no | — |
| 620 | D5 | — | 12 | 2 | no | — |
| 621 | C23 | — | 3 | 1 | no | — |
| 622 | C23 | — | 6 | 2 | no | — |
| 623 | C23 | — | 6 | 2 | no | — |
| 624 | C23 | — | 6 | 2 | no | — |
| 625 | C23 | — | 15 | 2 | no | — |
| 626 | C23 | — | 24 | 2 | no | — |
| 627 | C23 | — | 30 | 1 | no | — |
| 628 | C23 | — | 30 | 1 | no | — |
| 629 | C23 | — | 30 | 4 | no | — |
| 630 | C23 | — | 30 | 4 | no | — |
| 631 | C23 | — | 120 | 4 | no | — |
| 632 | Q8 | — | 3 | 1 | no | — |
| 633 | Q8 | — | 5 | 1 | no | — |
| 634 | Q8 | — | 15 | 2 | no | — |
| 635 | Q8 | — | 15 | 2 | no | — |
| 636 | Q8 | — | 15 | 2 | no | — |
| 637 | Q8 | — | 15 | 1 | no | — |
| 638 | Q8 | — | 30 | 1 | no | — |
| 639 | Q8 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 640 | D4 | — | 3 | 1 | no | — |
| 641 | D4 | — | 3 | 1 | no | — |
| 642 | D4 | — | 3 | 4 | no | — |
| 643 | D4 | — | 5 | 2 | no | — |
| 644 | D4 | — | 5 | 1 | no | — |
| 645 | D4 | — | 6 | 1 | no | — |
| 646 | D4 | — | 6 | 2 | no | — |
| 647 | D4 | — | 6 | 2 | no | — |
| 648 | D4 | — | 6 | 2 | no | — |
| 649 | D4 | — | 15 | 2 | no | — |
| 650 | D4 | — | 15 | 2 | no | — |
| 651 | D4 | — | 15 | 2 | no | — |
| 652 | D4 | — | 15 | 2 | no | — |
| 653 | D4 | — | 15 | 2 | no | — |
| 654 | D4 | — | 15 | 2 | no | — |
| 655 | D4 | — | 15 | 1 | no | — |
| 656 | D4 | — | 30 | 4 | no | — |
| 657 | D4 | — | 30 | 2 | no | — |
| 658 | D4 | — | 30 | 4 | no | — |
| 659 | D4 | — | 30 | 2 | no | — |
| 660 | D4 | — | 30 | 4 | no | — |
| 661 | D4 | — | 30 | 4 | no | — |
| 662 | D4 | — | 30 | 2 | no | — |
| 663 | D4 | — | 30 | 1 | no | — |
| 664 | C2×C4 | — | 3 | 1 | no | — |
| 665 | C2×C4 | — | 3 | 1 | no | — |
| 666 | C2×C4 | — | 3 | 1 | no | — |
| 667 | C2×C4 | — | 3 | 1 | no | — |
| 668 | C2×C4 | — | 3 | 1 | no | — |
| 669 | C2×C4 | — | 5 | 2 | no | — |
| 670 | C2×C4 | — | 15 | 2 | no | — |
| 671 | C2×C4 | — | 15 | 2 | no | — |
| 672 | C2×C4 | — | 15 | 2 | no | — |
| 673 | C2×C4 | — | 15 | 2 | no | — |
| 674 | C2×C4 | — | 30 | 2 | no | — |
| 675 | C2×C4 | — | 30 | 2 | no | — |
| 676 | C2×C4 | — | 30 | 4 | no | — |
| 677 | C2×C4 | — | 30 | 1 | no | — |
| 678 | C2×C4 | — | 30 | 4 | no | — |
| 679 | C2×C4 | — | 30 | 1 | no | — |
| 680 | C2×C4 | — | 30 | 2 | no | — |
| 681 | C2×C4 | D5×S4 | 1 | 1 | yes | characteristic |
| 682 | C8 | — | 3 | 4 | no | — |
| 683 | C8 | — | 15 | 2 | no | — |
| 684 | C8 | — | 15 | 2 | no | — |
| 685 | C2×C3 | — | 4 | 1 | no | — |
| 686 | C2×C3 | — | 8 | 1 | no | — |
| 687 | C2×C3 | — | 40 | 2 | no | — |
| 688 | D3 | — | 8 | 4 | no | — |
| 689 | D3 | — | 40 | 2 | no | — |
| 690 | C5 | #87498 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 691 | C22 | — | 3 | 1 | no | — |
| 692 | C22 | — | 3 | 1 | no | — |
| 693 | C22 | — | 5 | 2 | no | — |
| 694 | C22 | — | 6 | 4 | no | — |
| 695 | C22 | — | 12 | 1 | no | — |
| 696 | C22 | — | 12 | 4 | no | — |
| 697 | C22 | — | 15 | 2 | no | — |
| 698 | C22 | — | 24 | 2 | no | — |
| 699 | C22 | — | 24 | 2 | no | — |
| 700 | C22 | — | 30 | 2 | no | — |
| 701 | C22 | — | 60 | 2 | no | — |
| 702 | C22 | — | 60 | 2 | no | — |
| 703 | C22 | — | 120 | 1 | no | — |
| 704 | C22 | — | 120 | 4 | no | — |
| 705 | C22 | — | 120 | 4 | no | — |
| 706 | C22 | C2×D5×S4 | 1 | 1 | yes | characteristic |
| 707 | C4 | — | 3 | 1 | no | — |
| 708 | C4 | — | 3 | 1 | no | — |
| 709 | C4 | — | 5 | 2 | no | — |
| 710 | C4 | — | 15 | 2 | no | — |
| 711 | C4 | — | 30 | 2 | no | — |
| 712 | C4 | C2×D5×S4 | 1 | 1 | yes | characteristic |
| 713 | C4 | C2×D5×S4 | 1 | 1 | yes | characteristic |
| 714 | C3 | — | 4 | 1 | no | Sylow |
| 715 | C2 | — | 2 | 1 | no | — |
| 716 | C2 | — | 6 | 1 | no | — |
| 717 | C2 | — | 6 | 1 | no | — |
| 718 | C2 | — | 10 | 2 | no | — |
| 719 | C2 | — | 12 | 4 | no | — |
| 720 | C2 | — | 30 | 2 | no | — |
| 721 | C2 | — | 60 | 2 | no | — |
| 722 | C2 | C22×D5×S4 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C22×D5×S4 |
| commutator, cosocle, hypocenter | C5×SL(2,𝔽3) | C24 |
| Fitting | C2×C5×#41 | C2×D3 |
| socle | C2×C5 | C23×S4 |
| hypercenter | C2×C4 | D5×S4 |
| LCS | G ▷ C5×SL(2,𝔽3) | |
| UCS | C1 ◁ C2 ◁ C2×C4 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #66283⋊C3 | C2 | semidirect |
| 2. #11756907 | C2 | semidirect |
| 3. C2×C5×#986 | C2 | semidirect |
| 4. #11756786 | C2 | semidirect |
| 5. D5×#986 | C2 | semidirect |
| 6. #11756781 | C2 | semidirect |
| 7. #11756774 | C2 | semidirect |
| 8. #11756771 | C2 | semidirect |
| 10. C2×C5×#41⋊C3 | C22 | semidirect |
| 12. #4150⋊C3 | C22 | semidirect |
| 13. D5×#41⋊C3 | C22 | semidirect |
| 14. C5⋊#994 | C22 | semidirect |
| 15. #4147⋊C3 | C22 | semidirect |
| 16. #91956 | C22 | semidirect |
| 17. #91955 | C22 | semidirect |
| 18. #91954 | C22 | semidirect |
| 19. #91953 | C22 | semidirect |
| 20. C5×#986 | C22 | semidirect |
| 21. C5×#986 | C22 | semidirect |
| 22. C2×C5×GL(2,𝔽3) | C22 | semidirect |
| 23. D5×GL(2,𝔽3) | C22 | semidirect |
| 24. #91896 | C22 | semidirect |
| 25. #91894 | C22 | semidirect |
| 26. #91892 | C22 | semidirect |
| 28. #66283 | D3 | semidirect |
| 49. C5×#41⋊C3 | C23 | semidirect |
| 50. C2×C5×SL(2,𝔽3) | C23 | semidirect |
| 56. D5×SL(2,𝔽3) | C23 | semidirect |
| 57. C5⋊(#41⋊C3) | C23 | semidirect |
| 58. C5⋊GL(2,𝔽3) | C23 | semidirect |
| 59. C5⋊#226 | C23 | semidirect |
| 60. C5×GL(2,𝔽3) | C23 | semidirect |
| 68. C2×#986 | D5 | semidirect |
| 69. C2×C5×#41 | C2×D3 | semidirect |
| 73. #4150 | C2×D3 | semidirect |
| 75. #4149 | C2×D3 | semidirect |
| 77. D5×#41 | C2×D3 | semidirect |
| 78. #4147 | C2×D3 | semidirect |
| 163. C2×#41⋊C3 | C2×D5 | semidirect |
| 166. #986 | C2×D5 | semidirect |
| 167. #986 | C2×D5 | semidirect |
| 174. C2×GL(2,𝔽3) | C2×D5 | semidirect |
| 314. #41⋊C3 | C22×D5 | semidirect |
| 316. C2×SL(2,𝔽3) | C22×D5 | semidirect |
| 318. GL(2,𝔽3) | C22×D5 | semidirect |
| 403. C2×#41 | D3×D5 | semidirect |
| 690. C5 | #87498 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #66283⋊C3 | 2 |
| #11756907 | 2 |
| C2×C5×#986 | 2 |
| #11756786 | 2 |
| D5×#986 | 2 |
| #11756781 | 2 |
| #11756774 | 2 |
| #11756771 | 2 |
| #10619093 | 3 |
| #92018 | 4 |
| #87498 | 5 |