Finite Group DatabasebetaFinite Group Databasebeta| order | 17312 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C541 ⋊ C2 |
| Sylow | C541 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8656 |
Polycyclic presentation:
2^5,541|a^2=d,d^2=e,c^b=ce,f^c=f^5404340 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46829958, #46829960, #46830290, … |
| maximal normal subgroup of | #46829958, #46829960, #46830290, … |
| maximal quotient of | #46830129, #46830130, #46830140, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17312, 152);