Finite Group DatabasebetaFinite Group Databasebeta| order | 14944 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#21418728 |
| Fitting | C2×D4×C467 ⋊ C2 |
| Sylow | C467 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7472 |
2344 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44470117, C4×#21418728, #44470146, … |
| maximal normal subgroup of | #44470117, C4×#21418728, #44470146, … |
| maximal quotient of | C2×#28417873, C2×#28417874, C2×#28417886, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14944, 156);