Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| isoclinism | isoclinic class of D176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic88 |
| Sylow | C11 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14670850, #14670852, #14670885, … |
| maximal normal subgroup of | #14670850, #14670852, #14670885, … |
| maximal quotient of | C22×#10622141, C22×#10622142, C2×C4×Dic88, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 17623);