Finite Group DatabasebetaFinite Group Databasebeta| order | 15328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C479 ⋊ C2 |
| Sylow | C479 ⋊ #135 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7664 |
Polycyclic presentation:
2^5,479|c^2=e,d^2=e,b^a=bd,d^a=de,f^a=f^478,d^b=de,f^b=f^4783838 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44500201, #44500203, #44500204, … |
| maximal normal subgroup of | #44500201, #44500203, #44500204, … |
| maximal quotient of | #44500392, #44500433, C4×D3832, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15328, 168);