Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#10597276 |
| Sylow | C19 ⋊ C4×#108 |
228 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18069456, #18069457, #18069459, … |
| maximal normal subgroup of | #18069456, #18069457, #18069459, … |
| maximal quotient of | C4×#11926295, C4×#11926297, #18073728, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 4412);