Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C23×#1136 |
| Sylow | C7 ⋊ C23×M16 |
1720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #13259023, #13259025, #13259031, … |
| maximal normal subgroup of | #13259023, #13259025, #13259031, … |
| maximal quotient of | C23×#6377, C22×C4×#1136, C23×C22⋊(C7⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 19047);