Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C179 ⋊ #347 |
46 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,179|a^2=c,b^2=d,c^2=e,e^2=f,b^a=be,d^a=df,g^a=g^178,c^b=cf1802 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507032, #37507033, #37507034, … |
| maximal normal subgroup of | #37507032, #37507033, #37507034, … |
| maximal quotient of | #37506921, #37507080, C2×#26038217 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 327);