Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#15668428 |
| Sylow | C181 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
2920 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37533582, C8×#15668428, #37533587, … |
| maximal normal subgroup of | #37533582, C8×#15668428, #37533587, … |
| maximal quotient of | C4×#19153723, #37531947, #37531949, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 402);