Finite Group DatabasebetaFinite Group Databasebeta| order | 1312 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊Dic41 |
| Sylow | C41 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 656 |
340 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14580102, #14580103, C4×C22⋊Dic41, … |
| maximal normal subgroup of | #14580102, #14580103, C4×C22⋊Dic41, … |
| maximal quotient of | C2×#13050071, C4×C22⋊Dic41, #14580192, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1312, 98);