Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×Q8×Dic79 |
| Sylow | C79 ⋊ C22×C4×Q8 |
1664 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34193697, #34193838, #391×Dic79, … |
| maximal normal subgroup of | #34193697, #34193838, #391×Dic79, … |
| maximal quotient of | C22×C4⋊C4×Dic79, C2×C4×Q8×Dic79, C22×#19098449, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17686);