Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C173 ⋊ #405 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,b^2=e,d^2=f,g^a=g^172,c^b=cf,g^b=g^1721760 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353317, #36353319, #36353362, … |
| maximal normal subgroup of | #36353317, #36353319, #36353362, … |
| maximal quotient of | M16×#13063436, #36351847, #36351850, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 507);