Finite Group DatabasebetaFinite Group Databasebeta| order | 14864 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D3716 |
| Fitting | C2×C4×C929 ⋊ C2 |
| Sylow | C929 ⋊ C2×D4 |
| subgroup | G/H | |
|---|---|---|
| center | C22 | C2×D929 |
| commutator, cosocle | C2×C929 | C23 |
| Frattini | C2 | C22×D929 |
| Fitting | C2×C4×C929 | C2 |
| socle | C22×C929 | C22 |
| hypercenter | C2×C4 | D929 |
| hypocenter | C929 | C2×D4 |
| LCS | G ▷ C2×C929 ▷ C929 | |
| UCS | C1 ◁ C22 ◁ C2×C4 | |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7432 |
3722 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44446290, #44446294, #44446296, … |
| maximal normal subgroup of | #44446290, #44446294, #44446296, … |
| maximal quotient of | C2×#28415427, C2×C4⋊Dic929, C4×D3716, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14864, 36);