Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19153030 |
| Sylow | C179 ⋊ C2×#100 |
186 conjugacy classes of subgroups.
1802 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507117, #37507118, C4×#19153030, … |
| maximal normal subgroup of | #37507117, #37507118, C4×#19153030, … |
| maximal quotient of | C2×#26038163, #37507321, #37507327, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 526);