Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#19153034 |
| Sylow | C179 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1808 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19153034, #102×Dic179, #37508825, … |
| maximal normal subgroup of | C4×#19153034, #102×Dic179, #37508825, … |
| maximal quotient of | C2×D4⋊(C179⋊C8), #37507399, #37507425, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 536);