Finite Group DatabasebetaFinite Group Databasebeta| order | 15632 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C977 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7816 |
Polycyclic presentation:
2^4,977|a^2=c,c^2=d,b^a=bd,e^a=e^9763914 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44530582, #44530583, #44530584, … |
| maximal normal subgroup of | #44530582, #44530583, #44530584, … |
| maximal quotient of | #44530577, C22⋊#21463091, C4⋊#21463091, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15632, 24);