Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#20297715 |
| Sylow | C449 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14368 |
3604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43271732, #43271858, C4×#20297715, … |
| maximal normal subgroup of | #43271732, #43271858, C4×#20297715, … |
| maximal quotient of | C2×#28385247, C4×#20297715, #43271865, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 100);