Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#14583805 |
| Sylow | C173 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
2792 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353424, C8×#14583805, #36353429, … |
| maximal normal subgroup of | #36353424, C8×#14583805, #36353429, … |
| maximal quotient of | C4×#19149586, #36351789, #36351791, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 402);