Finite Group Databasebeta

D16×D103 #20268210

order6592
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C23

Aliases

direct productD16×D103

Splittings

FittingD16×C103 ⋊ C2
SylowC103 ⋊ C2×D16

Subgroups

subgroupG/H
centerC2D8×D103
commutatorC8×C103C23
FrattiniC8C22×D103
FittingD16×C103C2
socleC2×C103C2×D8
hypercenterD16D103
hypocenterC103C2×D16
LCSG ▷ C8×C103 ▷ C4×C103 ▷ C2×C103 ▷ C103
UCSC1 ◁ C2 ◁ C4 ◁ C8 ◁ D16

98 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

583 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofD32×D103, SD64×D103, #27197455, …
maximal normal subgroup ofD32×D103, SD64×D103, #27197455, …
maximal quotient of#357×D103, #366×D103, #27196988, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6592, 968);