Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4×C8×C179 ⋊ C2 |
| Sylow | C179 ⋊ #405 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,179|a^2=d,b^2=e,d^2=f,c^b=cf,g^c=g^1782888 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37510595, #37510598, #37510757, … |
| maximal normal subgroup of | #37510595, #37510598, #37510757, … |
| maximal quotient of | C8×#15668242, #37507282, #37507288, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 503);