Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊Dic461 |
| Sylow | C461 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14752 |
3700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44441838, #44441839, #44441844, … |
| maximal normal subgroup of | #44441838, #44441839, #44441844, … |
| maximal quotient of | C2×#28414025, C4×C4⋊Dic461, #44441936, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 101);