Finite Group Databasebeta

#468×D47 #20252972

order6016
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct product#468×D47

Splittings

FittingC47×#468 ⋊ C2
SylowC47 ⋊ C2×#468

Subgroups

subgroupG/H
centerC22C2×D4×D47
commutatorC2×C4×C47C24
FrattiniC2×C4C23×D47
FittingC47×#468C2
socleC22×C47C22×D4
hypercenter#468D47
hypocenterC47C2×#468
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C22×C4 ◁ #468

544 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

400 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofC2×#468×D47, D47×#3054, D47×#3055, …
maximal normal subgroup ofC2×#468×D47, D47×#3054, D47×#3055, …
maximal quotient ofD47×#1685, D47×#1691, D47×#1697, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6016, 14094);