Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C23×C4⋊C8 ⋊ C2 |
| Sylow | C23 ⋊ #436 |
122 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
Polycyclic presentation:
2^6,23|a^2=e,c^2=e,e^2=f,b^a=bd,c^a=cf,c^b=cf,g^b=g^22,g^c=g^22248 conjugacy classes — view the full character table.
| maximal subgroup of | #15672223, #15672225, #15672237, … |
| maximal normal subgroup of | #15672223, #15672225, #15672237, … |
| maximal quotient of | #15672281, #15672286, #15672293, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 626);