Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | #95×D103 |
| Fitting | #95×C103 ⋊ C2 |
| Sylow | C103 ⋊ C2×#95 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C23 | C22×D103 |
| commutator | C2×C103 | C2×C42 |
| Fitting | #95×C103 | C2 |
| socle | C23×C103 | C23 |
| hypercenter | #95 | D103 |
| hypocenter | C103 | C2×#95 |
| LCS | G ▷ C2×C103 ▷ C103 | |
| UCS | C1 ◁ C23 ◁ #95 | |
330 conjugacy classes of subgroups.
1060 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #327×D103, #328×D103, #27193645, … |
| maximal normal subgroup of | #327×D103, #328×D103, #27193645, … |
| maximal quotient of | #95×Dic103, (C2×D103)⋊#95, Dic103⋊#95, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 392);