Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#14273663 |
| Sylow | C59 ⋊ C4×#108 |
228 conjugacy classes of subgroups.
1912 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28475606, #28475607, #28475609, … |
| maximal normal subgroup of | #28475606, #28475607, #28475609, … |
| maximal quotient of | C4×#16837153, C4×#16837155, #28479878, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 4412);