Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | M16×Dic166 |
| Sylow | C83 ⋊ Q8×M16 |
388 conjugacy classes of subgroups.
1690 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35298738, #35298742, #35298752, … |
| maximal normal subgroup of | #35298738, #35298742, #35298752, … |
| maximal quotient of | M16×C4⋊Dic83, M16×Dic83⋊C4, #35403053, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13463);