Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4⋊C4×Dic166 |
| Sylow | C83 ⋊ Q8×C4⋊C4 |
568 conjugacy classes of subgroups.
1690 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35298577, #35298581, #35298605, … |
| maximal normal subgroup of | #35298577, #35298581, #35298605, … |
| maximal quotient of | C4⋊C4×Dic83⋊C4, C4⋊C4×C4⋊Dic83, #95×Dic166, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 7425);