Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#19127718 |
| Sylow | C83 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
1684 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35309868, #35309870, #35309873, … |
| maximal normal subgroup of | #35309868, #35309870, #35309873, … |
| maximal quotient of | C2×#24905854, C2×#24905858, C2×#24905850, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13052);