Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19153037 |
| Sylow | C179 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
1808 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19153037, #103×Dic179, #37508830, … |
| maximal normal subgroup of | C4×#19153037, #103×Dic179, #37508830, … |
| maximal quotient of | C2×Q8⋊(C179⋊C8), #37507403, #37507429, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 540);