Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #41×#10621924 |
| Fitting | #41×C173 ⋊ C4 |
| Sylow | C173 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
470 conjugacy classes — view the full character table.
| maximal subgroup of | #104×#10621924, #36369328, #36369600, … |
| maximal normal subgroup of | #104×#10621924, #36369328, #36369600, … |
| maximal quotient of | #117×#10621924, C4×D4×#10621924, C4×Q8×#10621924, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1615);