Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C214 |
| direct product | C23×Q8×D13 |
| Fitting | C23×Q8×C13 ⋊ C2 |
| Sylow | C13 ⋊ C24×Q8 |
6264 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D13×#1446, #15785303, #15785306, … |
| maximal normal subgroup of | D13×#1446, #15785303, #15785306, … |
| maximal quotient of | C23×C4⋊C4×D13, C22×C4×Q8×D13, C23×#88141, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 19304);