Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11718494 |
| Fitting | C2×C13×C4⋊C8 ⋊ C2 |
| Sylow | C13 ⋊ C2×#431 |
528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15752376, #15752379, #15752397, … |
| maximal normal subgroup of | #15752376, #15752379, #15752397, … |
| maximal quotient of | C2×#13114580, C2×#13114593, C2×C4⋊C8×Dic13, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13125);