Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C4⋊Q8×D179 |
| Fitting | C4⋊Q8×C179 ⋊ C2 |
| Sylow | C179 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
1274 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #332×D179, #333×D179, #37507670, … |
| maximal normal subgroup of | #332×D179, #333×D179, #37507670, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 1090);