Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C23×#108 ⋊ C2 |
| Sylow | C23 ⋊ #443 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 368 |
Polycyclic presentation:
2^6,23|a^2=e,c^2=e,d^2=f,e^2=f,b^a=bd,d^a=df,d^b=df,g^b=g^22,g^c=g^22182 conjugacy classes — view the full character table.
| maximal subgroup of | #15675275, #15675277, #15675280, … |
| maximal normal subgroup of | #15675275, #15675277, #15675280, … |
| maximal quotient of | #15672191, #15672196, #15672203, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 665);