Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#19149746 |
| Sylow | C173 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
728 conjugacy classes — view the full character table.
| maximal subgroup of | #36368407, #36368441, #36368454, … |
| maximal normal subgroup of | #36368407, #36368441, #36368454, … |
| maximal quotient of | C2×#26012353, C2×#26012355, #36369112, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1551);