Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#16839804 |
| Sylow | C61 ⋊ C2×#428 |
536 conjugacy classes of subgroups.
1244 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29586095, #29586097, #29586116, … |
| maximal normal subgroup of | #29586095, #29586097, #29586116, … |
| maximal quotient of | C2×#21444571, C2×#21444586, #29649042, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13095);