Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#20297713 |
| Fitting | C22×C4×C449 ⋊ C2 |
| Sylow | C449 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7184 |
3604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43271730, #43271854, C4×#20297713, … |
| maximal normal subgroup of | #43271730, #43271854, C4×#20297713, … |
| maximal quotient of | C2×#28385247, C4×#20297713, #43271862, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 97);