Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16813553 |
| Sylow | C113 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
1148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28390462, C4×#16813553, #28390470, … |
| maximal normal subgroup of | #28390462, C4×#16813553, #28390470, … |
| maximal quotient of | C2×#20298348, #28389329, #28389344, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 579);