Finite Group DatabasebetaFinite Group Databasebeta| order | 576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#3805 |
| Sylow | C32 ⋊ C4×#41 |
674 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | #11774256, #11774258, #11774292, … |
| maximal normal subgroup of | #11774256, #11774258, #11774292, … |
| maximal quotient of | C4×#63957, C4×#63878, C4×#67⋊Dic3, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 6757);