Finite Group DatabasebetaFinite Group Databasebeta| order | 9824 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4⋊C4×C307 ⋊ C2 |
| Sylow | C307 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,307|a^2=e,c^2=e,b^a=bd,f^b=f^306,f^c=f^3061550 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34087967, #34087969, #34087972, … |
| maximal normal subgroup of | #34087967, #34087969, #34087972, … |
| maximal quotient of | #34087734, C4⋊C4×Dic307, #34087758, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9824, 108);