Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#14268656 |
| Sylow | C113 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
488 conjugacy classes — view the full character table.
| maximal subgroup of | #28405418, #28405419, #28405433, … |
| maximal normal subgroup of | #28405418, #28405419, #28405433, … |
| maximal quotient of | C8×#14268656, #28405783, #28405793, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 1510);