Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19153072 |
| Sylow | C179 ⋊ C2×#117 |
330 conjugacy classes of subgroups.
2888 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37508696, #37508698, C2×#26038195, … |
| maximal normal subgroup of | #37508696, #37508698, C2×#26038195, … |
| maximal quotient of | C2×#26038285, C2×C4×C22⋊Dic179, C2×C4×C4⋊Dic179 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 1005);