Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×Q8×D179 |
| Fitting | C22×Q8×C179 ⋊ C2 |
| Sylow | C179 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
1820 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37508922, #37508933 |
| maximal normal subgroup of | #37508922, #37508933 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 1372);