Finite Group DatabasebetaFinite Group Databasebeta| order | 1312 |
| isoclinism | isoclinic class of Dic82 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D164 |
| Fitting | C42×C41 ⋊ C2 |
| Sylow | C41 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 656 |
340 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14580063, #14580065, #14580401, … |
| maximal normal subgroup of | #14580063, #14580065, #14580401, … |
| maximal quotient of | C4×#10620281, C4×C4⋊Dic41, #14580210, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1312, 110);