Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C179 ⋊ #446 |
94 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,179|a^2=e,b^2=d,c^2=de,e^2=f,b^a=bd,c^a=cf,g^a=g^178,g^c=g^1781808 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507837, #37507839, #37507851, … |
| maximal normal subgroup of | #37507837, #37507839, #37507851, … |
| maximal quotient of | #37508869, #37508875, #37509559, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 680);