Finite Group DatabasebetaFinite Group Databasebeta| order | 10832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
| direct product | C2×#19129319 |
| derived, Sylow | C677 ⋊ C2×C8 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C22 | #14582142 |
| commutator, hypocenter | C677 | C2×C8 |
| Frattini | C2 | C2×#14582142 |
| Fitting, socle, prime radical | C22×C677 | C4 |
| cosocle | Dic677 | C22 |
| LCS | G ▷ C677 | |
| UCS | C1 ◁ C22 | |
22 conjugacy classes of subgroups.
692 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#19129319, #36343501, C22⋊#19129319, … |
| maximal normal subgroup of | C4×#19129319, #36343501, C22⋊#19129319, … |
| maximal quotient of | C4×#19129319, C22⋊#19129319, C4⋊#19129319, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10832, 47);