Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | #95×D179 |
| Fitting | #95×C179 ⋊ C2 |
| Sylow | C179 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
1820 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #327×D179, #328×D179, #37507501, … |
| maximal normal subgroup of | #327×D179, #328×D179, #37507501, … |
| maximal quotient of | #95×Dic179, #37507221, #37507228, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 392);