Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊#11929434 |
| Sylow | C157 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34097970, #34097971, #34097976, … |
| maximal normal subgroup of | #34097970, #34097971, #34097976, … |
| maximal quotient of | C2×#23757024, C2×#23757026, #34098884, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 570);