Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#19153033 |
| Fitting | C2×C4⋊C4×C179 ⋊ C2 |
| Sylow | C179 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1808 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37508814, C4×#19153033, #37508824, … |
| maximal normal subgroup of | #37508814, C4×#19153033, #37508824, … |
| maximal quotient of | C2×#26038166, #37507398, #37507424, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 535);