Finite Group DatabasebetaFinite Group Databasebeta| order | 16736 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D2092 |
| Fitting | C42×C523 ⋊ C2 |
| Sylow | C523 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8368 |
4196 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45689932, #45689934, #45690270, … |
| maximal normal subgroup of | #45689932, #45689934, #45690270, … |
| maximal quotient of | C4×(C2×D523)⋊C4, C4×C4⋊Dic523, #45690079, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16736, 110);