Finite Group DatabasebetaFinite Group Databasebeta| order | 14372 |
| automorphism | ? |
| homology | Abelianization (H1) = C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting, socle, derived, Sylow | C3593 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C3593 | C4 |
| prime radical, cosocle | D3593 | C2 |
| LCS | G ▷ C3593 | |
| UCS | C1 | |
6 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3593 |
Polycyclic presentation:
2^2,3593|a^2=b,c^a=c^1153,c^b=c^3592902 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#28385454, #43273215 |
| maximal normal subgroup of | C2×#28385454, #43273215 |
| maximal quotient of | #43273213, C2×#28385454 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14372, 3);