Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #435×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2978 |
402 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,f^2=g,b^a=be,c^a=cg,d^a=de,c^b=ceg,d^b=dg,h^c=h^78,h^d=h^781130 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #2978×D79, C2×#23772459, #35153063, … |
| maximal normal subgroup of | #2978×D79, C2×#23772459, #35153063, … |
| maximal quotient of | #34286972, #34286991, #34287053, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13569);