Finite Group DatabasebetaFinite Group Databasebeta| order | 1376 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#10621872 |
| Fitting | C2×C8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 688 |
356 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14582680, C4×#10621872, #14582851, … |
| maximal normal subgroup of | #14582680, C4×#10621872, #14582851, … |
| maximal quotient of | C2×#13063235, C4×#10621872, C2×(C2×D43)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1376, 150);