Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | M16×C157 ⋊ C4 |
| Sylow | C157 ⋊ #405 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=d,b^2=e,d^2=f,g^a=g^28,c^b=cf,g^b=g^129,g^d=g^156,g^e=g^156430 conjugacy classes — view the full character table.
| maximal subgroup of | #34115893, #34115895, #34115912, … |
| maximal normal subgroup of | #34115893, #34115895, #34115912, … |
| maximal quotient of | M16×#11929441, #34115334, #34115341, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1515);