Finite Group DatabasebetaFinite Group Databasebeta| order | 12128 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C379 ⋊ C2 |
| Sylow | C379 ⋊ #131 |
62 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,379|a^2=d,d^2=e,c^b=ce,f^c=f^3783044 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37565027, #37565029, #37565359, … |
| maximal normal subgroup of | #37565027, #37565029, #37565359, … |
| maximal quotient of | #37565198, #37565199, #37565209, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12128, 152);