Finite Group DatabasebetaFinite Group Databasebeta| order | 19216 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C1201 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9608 |
Polycyclic presentation:
2^4,1201|a^2=c,c^2=d,b^a=bd,e^a=e^12004810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #50307770, #50307771, #50307772, … |
| maximal normal subgroup of | #50307770, #50307771, #50307772, … |
| maximal quotient of | #50307765, C22⋊#23751190, C4⋊#23751190, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19216, 24);