Finite Group Databasebeta

#449×D47 #20252585

order6016
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct product#449×D47

Splittings

FittingC47×#449 ⋊ C2
SylowC47 ⋊ C2×#449

Subgroups

subgroupG/H
centerC22C2×D4×D47
commutatorC2×C4×C47C24
FrattiniC2×C4C23×D47
FittingC47×#449C2
socleC22×C47C22×D4
hypercenter#449D47
hypocenterC47C2×#449
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C22×C4 ◁ #449

812 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

475 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofC2×#449×D47, D47×#3002, D47×#3005, …
maximal normal subgroup ofC2×#449×D47, D47×#3002, D47×#3005, …
maximal quotient ofD47×#1597, D47×#1609, D47×#1600, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6016, 13707);