Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C28 |
| direct product | C2×#10622826 |
| Fitting | C24×C4×C11 ⋊ C2 |
| Sylow | C11 ⋊ C2×#386 |
1576 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
376 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14649142, #14649144, #14649162, … |
| maximal normal subgroup of | #14649142, #14649144, #14649162, … |
| maximal quotient of | C2×#13066839, C2×#13066849, C2×#13066854, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6928);