Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C241 ⋊ #431 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
Polycyclic presentation:
2^6,241|a^2=e,c^2=d,e^2=f,b^a=bd,g^a=g^2403880 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44505273, #44505274, #44505275, … |
| maximal normal subgroup of | #44505273, #44505274, #44505275, … |
| maximal quotient of | #44507191, C4×C22⋊#14515349, C4×C4⋊#14515349, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 602);