Finite Group DatabasebetaFinite Group Databasebeta| order | 15056 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C941 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7528 |
Polycyclic presentation:
2^4,941|a^2=c,c^2=d,b^a=bd,e^a=e^9403770 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44474195, #44474196, #44474197, … |
| maximal normal subgroup of | #44474195, #44474196, #44474197, … |
| maximal quotient of | #44474190, C22⋊#21419096, C4⋊#21419096, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15056, 24);