Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×#89319 |
| Sylow | C7 ⋊ C2×#336 |
528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #13240325, #13240333, #13240347, … |
| maximal normal subgroup of | #13240325, #13240333, #13240347, … |
| maximal quotient of | C2×C7⋊#1273, #13243177, #13243181, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 4046);