Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| isoclinism | isoclinic class of Dic38 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#64520 |
| Sylow | C19 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14563328, #14563329, #14563331, … |
| maximal normal subgroup of | #14563328, #14563329, #14563331, … |
| maximal quotient of | C22×#10597260, C2×C4×#64520, C22×C22⋊(C19⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 1309);